1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
4616
4617
4618
4619
4620
4621
4622
4623
4624
4625
4626
4627
4628
4629
4630
4631
4632
4633
4634
4635
4636
4637
4638
4639
4640
4641
4642
4643
4644
4645
4646
4647
4648
4649
4650
4651
4652
4653
4654
4655
4656
4657
4658
4659
4660
4661
4662
4663
4664
4665
4666
4667
4668
4669
4670
4671
4672
4673
4674
4675
4676
4677
4678
4679
4680
4681
4682
4683
4684
4685
4686
4687
4688
4689
4690
4691
4692
4693
4694
4695
4696
4697
4698
4699
4700
4701
4702
4703
4704
4705
4706
4707
4708
4709
4710
4711
4712
4713
4714
4715
4716
4717
4718
4719
4720
4721
4722
4723
4724
4725
4726
4727
4728
4729
4730
4731
4732
4733
4734
4735
4736
4737
4738
4739
4740
4741
4742
4743
4744
4745
4746
4747
4748
4749
4750
4751
4752
4753
4754
4755
4756
4757
4758
4759
4760
4761
4762
4763
4764
4765
4766
4767
4768
4769
4770
4771
4772
4773
4774
4775
4776
4777
4778
4779
4780
4781
4782
4783
4784
4785
4786
4787
4788
4789
4790
4791
4792
4793
4794
4795
4796
4797
4798
4799
4800
4801
4802
4803
4804
4805
4806
4807
4808
4809
4810
4811
4812
4813
4814
4815
4816
4817
4818
4819
4820
4821
4822
4823
4824
4825
4826
4827
4828
4829
4830
4831
4832
4833
4834
4835
4836
4837
4838
4839
4840
4841
4842
4843
4844
4845
4846
4847
4848
4849
4850
4851
4852
4853
4854
4855
4856
4857
4858
4859
4860
4861
4862
4863
4864
4865
4866
4867
4868
4869
4870
4871
4872
4873
4874
4875
4876
4877
4878
4879
4880
4881
4882
4883
4884
4885
4886
4887
4888
4889
4890
4891
4892
4893
4894
4895
4896
4897
4898
4899
4900
4901
4902
4903
4904
4905
4906
4907
4908
4909
4910
4911
4912
4913
4914
4915
4916
4917
4918
4919
4920
4921
4922
4923
4924
4925
4926
4927
4928
4929
4930
4931
4932
4933
4934
4935
4936
4937
4938
4939
4940
4941
4942
4943
4944
4945
4946
4947
4948
4949
4950
4951
4952
4953
4954
4955
4956
4957
4958
4959
4960
4961
4962
4963
4964
4965
4966
4967
4968
4969
4970
4971
4972
4973
4974
4975
4976
4977
4978
4979
4980
4981
4982
4983
4984
4985
4986
4987
4988
4989
4990
4991
4992
4993
4994
4995
4996
4997
4998
4999
5000
5001
5002
5003
5004
5005
5006
5007
5008
5009
5010
5011
5012
5013
5014
5015
5016
5017
5018
5019
5020
5021
5022
5023
5024
5025
5026
5027
5028
5029
5030
5031
5032
5033
5034
5035
5036
5037
5038
5039
5040
5041
5042
5043
5044
5045
5046
5047
5048
5049
5050
5051
5052
5053
5054
5055
5056
5057
5058
5059
5060
5061
5062
5063
5064
5065
5066
5067
5068
5069
5070
5071
5072
5073
5074
5075
5076
5077
5078
5079
5080
5081
5082
5083
5084
5085
5086
5087
5088
5089
5090
5091
5092
5093
5094
5095
5096
5097
5098
5099
5100
5101
5102
5103
5104
5105
5106
5107
5108
5109
5110
5111
5112
5113
5114
5115
5116
5117
5118
5119
5120
5121
5122
5123
5124
5125
5126
5127
5128
5129
5130
5131
5132
5133
5134
5135
5136
5137
5138
5139
5140
5141
5142
5143
5144
5145
5146
5147
5148
5149
5150
5151
5152
5153
5154
5155
5156
5157
5158
5159
5160
5161
5162
5163
5164
5165
5166
5167
5168
5169
5170
5171
5172
5173
5174
5175
5176
5177
5178
5179
5180
5181
5182
5183
5184
5185
5186
5187
5188
5189
5190
5191
5192
5193
5194
5195
5196
5197
5198
5199
5200
5201
5202
5203
5204
5205
5206
5207
5208
5209
5210
5211
5212
5213
5214
5215
5216
5217
5218
5219
5220
5221
5222
5223
5224
5225
5226
5227
5228
5229
5230
5231
5232
5233
5234
5235
5236
5237
5238
5239
5240
5241
5242
5243
5244
5245
5246
5247
5248
5249
5250
5251
5252
5253
5254
5255
5256
5257
5258
5259
5260
5261
5262
5263
5264
5265
5266
5267
5268
5269
5270
5271
5272
5273
5274
5275
5276
5277
5278
5279
5280
5281
5282
5283
5284
5285
5286
5287
5288
5289
5290
5291
5292
5293
5294
5295
5296
5297
5298
5299
5300
5301
5302
5303
5304
5305
5306
5307
5308
5309
5310
5311
5312
5313
5314
5315
5316
5317
5318
5319
5320
5321
5322
5323
5324
5325
5326
5327
5328
5329
5330
5331
5332
5333
5334
5335
5336
5337
5338
5339
5340
5341
5342
5343
5344
5345
5346
5347
5348
5349
5350
5351
5352
5353
5354
5355
5356
5357
5358
5359
5360
5361
5362
5363
5364
5365
5366
5367
5368
5369
5370
5371
5372
5373
5374
5375
5376
5377
5378
5379
5380
5381
5382
5383
5384
5385
5386
5387
5388
5389
5390
5391
5392
5393
5394
5395
5396
5397
5398
5399
5400
5401
5402
5403
5404
5405
5406
5407
5408
5409
5410
5411
5412
5413
5414
5415
5416
5417
5418
5419
5420
5421
5422
5423
5424
5425
5426
5427
5428
5429
5430
5431
5432
5433
5434
5435
5436
5437
5438
5439
5440
5441
5442
5443
5444
5445
5446
5447
5448
5449
5450
5451
5452
5453
5454
5455
5456
5457
5458
5459
5460
5461
5462
5463
5464
5465
5466
5467
5468
5469
5470
5471
5472
5473
5474
5475
5476
5477
5478
5479
5480
5481
5482
5483
5484
5485
5486
5487
5488
5489
5490
5491
5492
5493
5494
5495
5496
5497
5498
5499
5500
5501
5502
5503
5504
5505
5506
5507
5508
5509
5510
5511
5512
5513
5514
5515
5516
5517
5518
5519
5520
5521
5522
5523
5524
5525
5526
5527
5528
5529
5530
5531
5532
5533
5534
5535
5536
5537
5538
5539
5540
5541
5542
5543
5544
5545
5546
5547
5548
5549
5550
5551
5552
5553
5554
5555
5556
5557
5558
5559
5560
5561
5562
5563
5564
5565
5566
5567
5568
5569
5570
5571
5572
5573
5574
5575
5576
5577
5578
5579
5580
5581
5582
5583
5584
5585
5586
5587
5588
5589
5590
5591
5592
5593
5594
5595
5596
5597
5598
5599
5600
5601
5602
5603
5604
5605
5606
5607
5608
5609
5610
5611
5612
5613
5614
5615
5616
5617
5618
5619
5620
5621
5622
5623
5624
5625
5626
5627
5628
5629
5630
5631
5632
5633
5634
5635
5636
5637
5638
5639
5640
5641
5642
5643
5644
5645
5646
5647
5648
5649
5650
5651
5652
5653
5654
5655
5656
5657
5658
5659
5660
5661
5662
5663
5664
5665
5666
5667
5668
5669
5670
5671
5672
5673
5674
5675
5676
5677
5678
5679
5680
5681
5682
5683
5684
5685
5686
5687
5688
5689
5690
5691
5692
5693
5694
5695
5696
5697
5698
5699
5700
5701
5702
5703
5704
5705
5706
5707
5708
5709
5710
5711
5712
5713
5714
5715
5716
5717
5718
5719
5720
5721
5722
5723
5724
5725
5726
5727
5728
5729
5730
5731
5732
5733
5734
5735
5736
5737
5738
5739
5740
5741
5742
5743
5744
5745
5746
5747
5748
5749
5750
5751
5752
5753
5754
5755
5756
5757
5758
5759
5760
5761
5762
5763
5764
5765
5766
5767
5768
5769
5770
5771
5772
5773
5774
5775
5776
5777
5778
5779
5780
5781
5782
5783
5784
5785
5786
5787
5788
5789
5790
5791
5792
5793
5794
5795
5796
5797
5798
5799
5800
5801
5802
5803
5804
5805
5806
5807
5808
5809
5810
5811
5812
5813
5814
5815
5816
5817
5818
5819
5820
5821
5822
5823
5824
5825
5826
5827
5828
5829
5830
5831
5832
5833
5834
5835
5836
5837
5838
5839
5840
5841
5842
5843
5844
5845
5846
5847
5848
5849
5850
5851
5852
5853
5854
5855
5856
5857
5858
5859
5860
5861
5862
5863
5864
5865
5866
5867
5868
5869
5870
5871
5872
5873
5874
5875
5876
5877
5878
5879
5880
5881
5882
5883
5884
5885
5886
5887
5888
5889
5890
5891
5892
5893
5894
5895
5896
5897
5898
5899
5900
5901
5902
5903
5904
5905
5906
5907
5908
5909
5910
5911
5912
5913
5914
5915
5916
5917
5918
5919
5920
5921
5922
5923
5924
5925
5926
5927
5928
5929
5930
5931
5932
5933
5934
5935
5936
5937
5938
5939
5940
5941
5942
5943
5944
5945
5946
5947
5948
5949
5950
5951
5952
5953
5954
5955
5956
5957
5958
5959
5960
5961
5962
5963
5964
5965
5966
5967
5968
5969
5970
5971
5972
5973
5974
5975
5976
5977
5978
5979
5980
5981
5982
5983
5984
5985
5986
5987
5988
5989
5990
5991
5992
5993
5994
5995
5996
5997
5998
5999
6000
6001
6002
6003
6004
6005
6006
6007
6008
6009
6010
6011
6012
6013
6014
6015
6016
6017
6018
6019
6020
6021
6022
6023
6024
6025
6026
6027
6028
6029
6030
6031
6032
6033
6034
6035
6036
6037
6038
6039
6040
6041
6042
6043
6044
6045
6046
6047
6048
6049
6050
6051
6052
6053
6054
6055
6056
6057
6058
6059
6060
6061
6062
6063
6064
6065
6066
6067
6068
6069
6070
6071
6072
6073
6074
6075
6076
6077
6078
6079
6080
6081
6082
6083
6084
6085
6086
6087
6088
6089
6090
6091
6092
6093
6094
6095
6096
6097
6098
6099
6100
6101
6102
6103
6104
6105
6106
6107
6108
6109
6110
6111
6112
6113
6114
6115
6116
6117
6118
6119
6120
6121
6122
6123
6124
6125
6126
6127
6128
6129
6130
6131
6132
6133
6134
6135
6136
6137
6138
6139
6140
6141
6142
6143
6144
6145
6146
6147
6148
6149
6150
6151
6152
6153
6154
6155
6156
6157
6158
6159
6160
6161
6162
6163
6164
6165
6166
6167
6168
6169
6170
6171
6172
6173
6174
6175
6176
6177
6178
6179
6180
6181
6182
6183
6184
6185
6186
6187
6188
6189
6190
6191
6192
6193
6194
6195
6196
6197
6198
6199
6200
6201
6202
6203
6204
6205
6206
6207
6208
6209
6210
6211
6212
6213
6214
6215
6216
6217
6218
6219
6220
6221
6222
6223
6224
6225
6226
6227
6228
6229
6230
6231
6232
6233
6234
6235
6236
6237
6238
6239
6240
6241
6242
6243
6244
6245
6246
6247
6248
6249
6250
6251
6252
6253
6254
6255
6256
6257
6258
6259
6260
6261
6262
6263
6264
6265
6266
6267
6268
6269
6270
6271
6272
6273
6274
6275
6276
6277
6278
6279
6280
6281
6282
6283
6284
6285
6286
6287
6288
6289
6290
6291
6292
6293
6294
6295
6296
6297
6298
6299
6300
6301
6302
6303
6304
6305
6306
6307
6308
6309
6310
6311
6312
6313
6314
6315
6316
6317
6318
6319
6320
6321
6322
6323
6324
6325
6326
6327
6328
6329
6330
6331
6332
6333
6334
6335
6336
6337
6338
6339
6340
6341
6342
6343
6344
6345
6346
6347
6348
6349
6350
6351
6352
6353
6354
6355
6356
6357
6358
6359
6360
6361
6362
6363
6364
6365
6366
6367
6368
6369
6370
6371
6372
6373
6374
6375
6376
6377
6378
6379
6380
6381
6382
6383
6384
6385
6386
6387
6388
6389
6390
6391
6392
6393
6394
6395
6396
6397
6398
6399
6400
6401
6402
6403
6404
6405
6406
6407
6408
6409
6410
6411
6412
6413
6414
6415
6416
6417
6418
6419
6420
6421
6422
6423
6424
6425
6426
6427
6428
6429
6430
6431
6432
6433
6434
6435
6436
6437
6438
6439
6440
6441
6442
6443
6444
6445
6446
6447
6448
6449
6450
6451
6452
6453
6454
6455
6456
6457
6458
6459
6460
6461
6462
6463
6464
6465
6466
6467
6468
6469
6470
6471
6472
6473
6474
6475
6476
6477
6478
6479
6480
6481
6482
6483
6484
6485
6486
6487
6488
6489
6490
6491
6492
6493
6494
6495
6496
6497
6498
6499
6500
6501
6502
6503
6504
6505
6506
6507
6508
6509
6510
6511
6512
6513
6514
6515
6516
6517
6518
6519
6520
6521
6522
6523
6524
6525
6526
6527
6528
6529
6530
6531
6532
6533
6534
6535
6536
6537
6538
6539
6540
6541
6542
6543
6544
6545
6546
6547
6548
6549
6550
6551
6552
6553
6554
6555
6556
6557
6558
6559
6560
6561
6562
6563
6564
6565
6566
6567
6568
6569
6570
6571
6572
6573
6574
6575
6576
6577
6578
6579
6580
6581
6582
6583
6584
6585
6586
6587
6588
6589
6590
6591
6592
6593
6594
6595
6596
6597
6598
6599
6600
6601
6602
6603
6604
6605
6606
6607
6608
6609
6610
6611
6612
6613
6614
6615
6616
6617
6618
6619
6620
6621
6622
6623
6624
6625
6626
6627
6628
6629
6630
6631
6632
6633
6634
6635
6636
6637
6638
6639
6640
6641
6642
6643
6644
6645
6646
6647
6648
6649
6650
6651
6652
6653
6654
6655
6656
6657
6658
6659
6660
6661
6662
6663
6664
6665
6666
6667
6668
6669
6670
6671
6672
6673
6674
6675
6676
6677
6678
6679
6680
6681
6682
6683
6684
6685
6686
6687
6688
6689
6690
6691
6692
6693
6694
6695
6696
6697
6698
6699
6700
6701
6702
6703
6704
6705
6706
6707
6708
6709
6710
6711
6712
6713
6714
6715
6716
6717
6718
6719
6720
6721
6722
6723
6724
6725
6726
6727
6728
6729
6730
6731
6732
6733
6734
6735
6736
6737
6738
6739
6740
6741
6742
6743
6744
6745
6746
6747
6748
6749
6750
6751
6752
6753
6754
6755
6756
6757
6758
6759
6760
6761
6762
6763
6764
6765
6766
6767
6768
6769
6770
6771
6772
6773
6774
6775
6776
6777
6778
6779
6780
6781
6782
6783
6784
6785
6786
6787
6788
6789
6790
6791
6792
6793
6794
6795
6796
6797
6798
6799
6800
6801
6802
6803
6804
6805
6806
6807
6808
6809
6810
6811
6812
6813
6814
6815
6816
6817
6818
6819
6820
6821
6822
6823
6824
6825
6826
6827
6828
6829
6830
6831
6832
6833
6834
6835
6836
6837
6838
6839
6840
6841
6842
6843
6844
6845
6846
6847
6848
6849
6850
6851
6852
6853
6854
6855
6856
6857
6858
6859
6860
6861
6862
6863
6864
6865
6866
6867
6868
6869
6870
6871
6872
6873
6874
6875
6876
6877
6878
6879
6880
6881
6882
6883
6884
6885
6886
6887
6888
6889
6890
6891
6892
6893
6894
6895
6896
6897
6898
6899
6900
6901
6902
6903
6904
6905
6906
6907
6908
6909
6910
6911
6912
6913
6914
6915
6916
6917
6918
6919
6920
6921
6922
6923
6924
6925
6926
6927
6928
6929
6930
6931
6932
6933
6934
6935
6936
6937
6938
6939
6940
6941
6942
6943
6944
6945
6946
6947
6948
6949
6950
6951
6952
6953
6954
6955
6956
6957
6958
6959
6960
6961
6962
6963
6964
6965
6966
6967
6968
6969
6970
6971
6972
6973
6974
6975
6976
6977
6978
6979
6980
6981
6982
6983
6984
6985
6986
6987
6988
6989
6990
6991
6992
6993
6994
6995
6996
6997
6998
6999
7000
7001
7002
7003
7004
7005
7006
7007
7008
7009
7010
7011
7012
7013
7014
7015
7016
7017
7018
7019
7020
7021
7022
7023
7024
7025
7026
7027
7028
7029
7030
7031
7032
7033
7034
7035
7036
7037
7038
7039
7040
7041
7042
7043
7044
7045
7046
7047
7048
7049
7050
7051
7052
7053
7054
7055
7056
7057
7058
7059
7060
7061
7062
7063
7064
7065
7066
7067
7068
7069
7070
7071
7072
7073
7074
7075
7076
7077
7078
7079
7080
7081
7082
7083
7084
7085
7086
7087
7088
7089
7090
7091
7092
7093
7094
7095
7096
7097
7098
7099
7100
7101
7102
7103
7104
7105
7106
7107
7108
7109
7110
7111
7112
7113
7114
7115
7116
7117
7118
7119
7120
7121
7122
7123
7124
7125
7126
7127
7128
7129
7130
7131
7132
7133
7134
7135
7136
7137
7138
7139
7140
7141
7142
7143
7144
7145
7146
7147
7148
7149
7150
7151
7152
7153
7154
7155
7156
7157
7158
7159
7160
7161
7162
7163
7164
7165
7166
7167
7168
7169
7170
7171
7172
7173
7174
7175
7176
7177
7178
7179
7180
7181
7182
7183
7184
7185
7186
7187
7188
7189
7190
7191
7192
7193
7194
7195
7196
7197
7198
7199
7200
7201
7202
7203
7204
7205
7206
7207
7208
7209
7210
7211
7212
7213
7214
7215
7216
7217
7218
7219
7220
7221
7222
7223
7224
7225
7226
7227
7228
7229
7230
7231
7232
7233
7234
7235
7236
7237
7238
7239
7240
7241
7242
7243
7244
7245
7246
7247
7248
7249
7250
7251
7252
7253
7254
7255
7256
7257
7258
7259
7260
7261
7262
7263
7264
7265
7266
7267
7268
7269
7270
7271
7272
7273
7274
7275
7276
7277
7278
7279
7280
7281
7282
7283
7284
7285
7286
7287
7288
7289
7290
7291
7292
7293
7294
7295
7296
7297
7298
7299
7300
7301
7302
7303
7304
7305
7306
7307
7308
7309
7310
7311
7312
7313
7314
7315
7316
7317
7318
7319
7320
7321
7322
7323
7324
7325
7326
7327
7328
7329
7330
7331
7332
7333
7334
7335
7336
7337
7338
7339
7340
7341
7342
7343
7344
7345
7346
7347
7348
7349
7350
7351
7352
7353
7354
7355
7356
7357
7358
7359
7360
7361
7362
7363
7364
7365
7366
7367
7368
7369
7370
7371
7372
7373
7374
7375
7376
7377
7378
7379
7380
7381
7382
7383
7384
7385
7386
7387
7388
7389
7390
7391
7392
7393
7394
7395
7396
7397
7398
7399
7400
7401
7402
7403
7404
7405
7406
7407
7408
7409
7410
7411
7412
7413
7414
7415
7416
7417
7418
7419
7420
7421
7422
7423
7424
7425
7426
7427
7428
7429
7430
7431
7432
7433
7434
7435
7436
7437
7438
7439
7440
7441
7442
7443
7444
7445
7446
7447
7448
7449
7450
7451
7452
7453
7454
7455
7456
7457
7458
7459
7460
7461
7462
7463
7464
7465
7466
7467
7468
7469
7470
7471
7472
7473
7474
7475
7476
7477
7478
7479
7480
7481
7482
7483
7484
7485
7486
7487
7488
7489
7490
7491
7492
7493
7494
7495
7496
7497
7498
7499
7500
7501
7502
7503
7504
7505
7506
7507
7508
7509
7510
7511
7512
7513
7514
7515
7516
7517
7518
7519
7520
7521
7522
7523
7524
7525
7526
7527
7528
7529
7530
7531
7532
7533
7534
7535
7536
7537
7538
7539
7540
7541
7542
7543
7544
7545
7546
7547
7548
7549
7550
7551
7552
7553
7554
7555
7556
7557
7558
7559
7560
7561
7562
7563
7564
7565
7566
7567
7568
7569
7570
7571
7572
7573
7574
7575
7576
7577
7578
7579
7580
7581
7582
7583
7584
7585
7586
7587
7588
7589
7590
7591
7592
7593
7594
7595
7596
7597
7598
7599
7600
7601
7602
7603
7604
7605
7606
7607
7608
7609
7610
7611
7612
7613
7614
7615
7616
7617
7618
7619
7620
7621
7622
7623
7624
7625
7626
7627
7628
7629
7630
7631
7632
7633
7634
7635
7636
7637
7638
7639
7640
7641
7642
7643
7644
7645
7646
7647
7648
7649
7650
7651
7652
7653
7654
7655
7656
7657
7658
7659
7660
7661
7662
7663
7664
7665
7666
7667
7668
7669
7670
7671
7672
7673
7674
7675
7676
7677
7678
7679
7680
7681
7682
7683
7684
7685
7686
7687
7688
7689
7690
7691
7692
7693
7694
7695
7696
7697
7698
7699
7700
7701
7702
7703
7704
7705
7706
7707
7708
7709
7710
7711
7712
7713
7714
7715
7716
7717
7718
7719
7720
7721
7722
7723
7724
7725
7726
7727
7728
7729
7730
7731
7732
7733
7734
7735
7736
7737
7738
7739
7740
7741
7742
7743
7744
7745
7746
7747
7748
7749
7750
7751
7752
7753
7754
7755
7756
7757
7758
7759
7760
7761
7762
7763
7764
7765
7766
7767
7768
7769
7770
7771
7772
7773
7774
7775
7776
7777
7778
7779
7780
7781
7782
7783
7784
7785
7786
7787
7788
7789
7790
7791
7792
7793
7794
7795
7796
7797
7798
7799
7800
7801
7802
7803
7804
7805
7806
7807
7808
7809
7810
7811
7812
7813
7814
7815
7816
7817
7818
7819
7820
7821
7822
7823
7824
7825
7826
7827
7828
7829
7830
7831
7832
7833
7834
7835
7836
7837
7838
7839
7840
7841
7842
7843
7844
7845
7846
7847
7848
7849
7850
7851
7852
7853
7854
7855
7856
7857
7858
7859
7860
7861
7862
7863
7864
7865
7866
7867
7868
7869
7870
7871
7872
7873
7874
7875
7876
7877
7878
7879
7880
7881
7882
7883
7884
7885
7886
7887
7888
7889
7890
7891
7892
7893
7894
7895
7896
7897
7898
7899
7900
7901
7902
7903
7904
7905
7906
7907
7908
7909
7910
7911
7912
7913
7914
7915
7916
7917
7918
7919
7920
7921
7922
7923
7924
7925
7926
7927
7928
7929
7930
7931
7932
7933
7934
7935
7936
7937
7938
7939
7940
7941
7942
7943
7944
7945
7946
7947
7948
7949
7950
7951
7952
7953
7954
7955
7956
7957
7958
7959
7960
7961
7962
7963
7964
7965
7966
7967
7968
7969
7970
7971
7972
7973
7974
7975
7976
7977
7978
7979
7980
7981
7982
7983
7984
7985
7986
7987
7988
7989
7990
7991
7992
7993
7994
7995
7996
7997
7998
7999
8000
8001
8002
8003
8004
8005
8006
8007
8008
8009
8010
8011
8012
8013
8014
8015
8016
8017
8018
8019
8020
8021
8022
8023
8024
8025
8026
8027
8028
8029
8030
8031
8032
8033
8034
8035
8036
8037
8038
8039
8040
8041
8042
8043
8044
8045
8046
8047
8048
8049
8050
8051
8052
8053
8054
8055
8056
8057
8058
8059
8060
8061
8062
8063
8064
8065
8066
8067
8068
8069
8070
8071
8072
8073
8074
8075
8076
8077
8078
8079
8080
8081
8082
8083
8084
8085
8086
8087
8088
8089
8090
8091
8092
8093
8094
8095
8096
8097
8098
8099
8100
8101
8102
8103
8104
8105
8106
8107
8108
8109
8110
8111
8112
8113
8114
8115
8116
8117
8118
8119
8120
8121
8122
8123
8124
8125
8126
8127
8128
8129
8130
8131
8132
8133
8134
8135
8136
8137
8138
8139
8140
8141
8142
8143
8144
8145
8146
8147
8148
8149
8150
8151
8152
8153
8154
8155
8156
8157
8158
8159
8160
8161
8162
8163
8164
8165
8166
8167
8168
8169
8170
8171
8172
8173
8174
8175
8176
8177
8178
8179
8180
8181
8182
8183
8184
8185
8186
8187
8188
8189
8190
8191
8192
8193
8194
8195
8196
8197
8198
8199
8200
8201
8202
8203
8204
8205
8206
8207
8208
8209
8210
8211
8212
8213
8214
8215
8216
8217
8218
8219
8220
8221
8222
8223
8224
8225
8226
8227
8228
8229
8230
8231
8232
8233
8234
8235
8236
8237
8238
8239
8240
8241
8242
8243
8244
8245
8246
8247
8248
8249
8250
8251
8252
8253
8254
8255
8256
8257
8258
8259
8260
8261
8262
8263
8264
8265
8266
8267
8268
8269
8270
8271
8272
8273
8274
8275
8276
8277
8278
8279
8280
8281
8282
8283
8284
8285
8286
8287
8288
8289
8290
8291
8292
8293
8294
8295
8296
8297
8298
8299
8300
8301
8302
8303
8304
8305
8306
8307
8308
8309
8310
8311
8312
8313
8314
8315
8316
8317
8318
8319
8320
8321
8322
8323
8324
8325
8326
8327
8328
8329
8330
8331
8332
8333
8334
8335
8336
8337
8338
8339
8340
8341
8342
8343
8344
8345
8346
8347
8348
8349
8350
8351
8352
8353
8354
8355
8356
8357
8358
8359
8360
8361
8362
8363
8364
8365
8366
8367
8368
8369
8370
8371
8372
8373
8374
8375
8376
8377
8378
8379
8380
8381
8382
8383
8384
8385
8386
8387
8388
8389
8390
8391
8392
8393
8394
8395
8396
8397
8398
8399
8400
8401
8402
8403
8404
8405
8406
8407
8408
8409
8410
8411
8412
8413
8414
8415
8416
8417
8418
8419
8420
8421
8422
8423
8424
8425
8426
8427
8428
8429
8430
8431
8432
8433
8434
8435
8436
8437
8438
8439
8440
8441
8442
8443
8444
8445
8446
8447
8448
8449
8450
8451
8452
8453
8454
8455
8456
8457
8458
8459
8460
8461
8462
8463
8464
8465
8466
8467
8468
8469
8470
8471
8472
8473
8474
8475
8476
8477
8478
8479
8480
8481
8482
8483
8484
8485
8486
8487
8488
8489
8490
8491
8492
8493
8494
8495
8496
8497
8498
8499
8500
8501
8502
8503
8504
8505
8506
8507
8508
8509
8510
8511
8512
8513
8514
8515
8516
8517
8518
8519
8520
8521
8522
8523
8524
8525
8526
8527
8528
8529
8530
8531
8532
8533
8534
8535
8536
8537
8538
8539
8540
8541
8542
8543
8544
8545
8546
8547
8548
8549
8550
8551
8552
8553
8554
8555
8556
8557
8558
8559
8560
8561
8562
8563
8564
8565
8566
8567
8568
8569
8570
8571
8572
8573
8574
8575
8576
8577
8578
8579
8580
8581
8582
8583
8584
8585
8586
8587
8588
8589
8590
8591
8592
8593
8594
8595
8596
8597
8598
8599
8600
8601
8602
8603
8604
8605
8606
8607
8608
8609
8610
8611
8612
8613
8614
8615
8616
8617
8618
8619
8620
8621
8622
8623
8624
8625
8626
8627
8628
8629
8630
8631
8632
8633
8634
8635
8636
8637
8638
8639
8640
8641
8642
8643
8644
8645
8646
8647
8648
8649
8650
8651
8652
8653
8654
8655
8656
8657
8658
8659
8660
8661
8662
8663
8664
8665
8666
8667
8668
8669
8670
8671
8672
8673
8674
8675
8676
8677
8678
8679
8680
8681
8682
8683
8684
8685
8686
8687
8688
8689
8690
8691
8692
8693
8694
8695
8696
8697
8698
8699
8700
8701
8702
8703
8704
8705
8706
8707
8708
8709
8710
8711
8712
8713
8714
8715
8716
8717
8718
8719
8720
8721
8722
8723
8724
8725
8726
8727
8728
8729
8730
8731
8732
8733
8734
8735
8736
8737
8738
8739
8740
8741
8742
8743
8744
8745
8746
8747
8748
8749
8750
8751
8752
8753
8754
8755
8756
8757
8758
8759
8760
8761
8762
8763
8764
8765
8766
8767
8768
8769
8770
8771
8772
8773
8774
8775
8776
8777
8778
8779
8780
8781
8782
8783
8784
8785
8786
8787
8788
8789
8790
8791
8792
8793
8794
8795
8796
8797
8798
8799
8800
8801
8802
8803
8804
8805
8806
8807
8808
8809
8810
8811
8812
8813
8814
8815
8816
8817
8818
8819
8820
8821
8822
8823
8824
8825
8826
8827
8828
8829
8830
8831
8832
8833
8834
8835
8836
8837
8838
8839
8840
8841
8842
8843
8844
8845
8846
8847
8848
8849
8850
8851
8852
8853
8854
8855
8856
8857
8858
8859
8860
8861
8862
8863
8864
8865
8866
8867
8868
8869
8870
8871
8872
8873
8874
8875
8876
8877
8878
8879
8880
8881
8882
8883
8884
8885
8886
8887
8888
8889
8890
8891
8892
8893
8894
8895
8896
8897
8898
8899
8900
8901
8902
8903
8904
8905
8906
8907
8908
8909
8910
8911
8912
8913
8914
8915
8916
8917
8918
8919
8920
8921
8922
8923
8924
8925
8926
8927
8928
8929
8930
8931
8932
8933
8934
8935
8936
8937
8938
8939
8940
8941
8942
8943
8944
8945
8946
8947
8948
8949
8950
8951
8952
8953
8954
8955
8956
8957
8958
8959
8960
8961
8962
8963
8964
8965
8966
8967
8968
8969
8970
8971
8972
8973
8974
8975
8976
8977
8978
8979
8980
8981
8982
8983
8984
8985
8986
8987
8988
8989
8990
8991
8992
8993
8994
8995
8996
8997
8998
8999
9000
9001
9002
9003
9004
9005
9006
9007
9008
9009
9010
9011
9012
9013
9014
9015
9016
9017
9018
9019
9020
9021
9022
9023
9024
9025
9026
9027
9028
9029
9030
9031
9032
9033
9034
9035
9036
9037
9038
9039
9040
9041
9042
9043
9044
9045
9046
9047
9048
9049
9050
9051
9052
9053
9054
9055
9056
9057
9058
9059
9060
9061
9062
9063
9064
9065
9066
9067
9068
9069
9070
9071
9072
9073
9074
9075
9076
9077
9078
9079
9080
9081
9082
9083
9084
9085
9086
9087
9088
9089
9090
9091
9092
9093
9094
9095
9096
9097
9098
9099
9100
9101
9102
9103
9104
9105
9106
9107
9108
9109
9110
9111
9112
9113
9114
9115
9116
9117
9118
9119
9120
9121
9122
9123
9124
9125
9126
9127
9128
9129
9130
9131
9132
9133
9134
9135
9136
9137
9138
9139
9140
9141
9142
9143
9144
9145
9146
9147
9148
9149
9150
9151
9152
9153
9154
9155
9156
9157
9158
9159
9160
9161
9162
9163
9164
9165
9166
9167
9168
9169
9170
9171
9172
9173
9174
9175
9176
9177
9178
9179
9180
9181
9182
9183
9184
9185
9186
9187
9188
9189
9190
9191
9192
9193
9194
9195
9196
9197
9198
9199
9200
9201
9202
9203
9204
9205
9206
9207
9208
9209
9210
9211
9212
9213
9214
9215
9216
9217
9218
9219
9220
9221
9222
9223
9224
9225
9226
9227
9228
9229
9230
9231
9232
9233
9234
9235
9236
9237
9238
9239
9240
9241
9242
9243
9244
9245
9246
9247
9248
9249
9250
9251
9252
9253
9254
9255
9256
9257
9258
9259
9260
9261
9262
9263
9264
9265
9266
9267
9268
9269
9270
9271
9272
9273
9274
9275
9276
9277
9278
9279
9280
9281
9282
9283
9284
9285
9286
9287
9288
9289
9290
9291
9292
9293
9294
9295
9296
9297
9298
9299
9300
9301
9302
9303
9304
9305
9306
9307
9308
9309
9310
9311
9312
9313
9314
9315
9316
9317
9318
9319
9320
9321
9322
9323
9324
9325
9326
9327
9328
9329
9330
9331
9332
9333
9334
9335
9336
9337
9338
9339
9340
9341
9342
9343
9344
9345
9346
9347
9348
9349
9350
9351
9352
9353
9354
9355
9356
9357
9358
9359
9360
9361
9362
9363
9364
9365
9366
9367
9368
9369
9370
9371
9372
9373
9374
9375
9376
9377
9378
9379
9380
9381
9382
9383
9384
9385
9386
9387
9388
9389
9390
9391
9392
9393
9394
9395
9396
9397
9398
9399
9400
9401
9402
9403
9404
9405
9406
9407
9408
9409
9410
9411
9412
9413
9414
9415
9416
9417
9418
9419
9420
9421
9422
9423
9424
9425
9426
9427
9428
9429
9430
9431
9432
9433
9434
9435
9436
9437
9438
9439
9440
9441
9442
9443
9444
9445
9446
9447
9448
9449
9450
9451
9452
9453
9454
9455
9456
9457
9458
9459
9460
9461
9462
9463
9464
9465
9466
9467
9468
9469
9470
9471
9472
9473
9474
9475
9476
9477
9478
9479
9480
9481
9482
9483
9484
9485
9486
9487
9488
9489
9490
9491
9492
9493
9494
9495
9496
9497
9498
9499
9500
9501
9502
9503
9504
9505
9506
9507
9508
9509
9510
9511
9512
9513
9514
9515
9516
9517
9518
9519
9520
9521
9522
9523
9524
9525
9526
9527
9528
9529
9530
9531
9532
9533
9534
9535
9536
9537
9538
9539
9540
9541
9542
9543
9544
9545
9546
9547
9548
9549
9550
9551
9552
9553
9554
9555
9556
9557
9558
9559
9560
9561
9562
9563
9564
9565
9566
9567
9568
9569
9570
9571
9572
9573
9574
9575
9576
9577
9578
9579
9580
9581
9582
9583
9584
9585
9586
9587
9588
9589
9590
9591
9592
9593
9594
9595
9596
9597
9598
9599
9600
9601
9602
9603
9604
9605
9606
9607
9608
9609
9610
9611
9612
9613
9614
9615
9616
9617
9618
9619
9620
9621
9622
9623
9624
9625
9626
9627
9628
9629
9630
9631
9632
9633
9634
9635
9636
9637
9638
9639
9640
9641
9642
9643
9644
9645
9646
9647
9648
9649
9650
9651
9652
9653
9654
9655
9656
9657
9658
9659
9660
9661
9662
9663
9664
9665
9666
9667
9668
9669
9670
9671
9672
9673
9674
9675
9676
9677
9678
9679
9680
9681
9682
9683
9684
9685
9686
9687
9688
9689
9690
9691
9692
9693
9694
9695
9696
9697
9698
9699
9700
9701
9702
9703
9704
9705
9706
9707
9708
9709
9710
9711
9712
9713
9714
9715
9716
9717
9718
9719
9720
9721
9722
9723
9724
9725
9726
9727
9728
9729
9730
9731
9732
9733
9734
9735
9736
9737
9738
9739
9740
9741
9742
9743
9744
9745
9746
9747
9748
9749
9750
9751
9752
9753
9754
9755
9756
9757
9758
9759
9760
9761
9762
9763
9764
9765
9766
9767
9768
9769
9770
9771
9772
9773
9774
9775
9776
9777
9778
9779
9780
9781
9782
9783
9784
9785
9786
9787
9788
9789
9790
9791
9792
9793
9794
9795
9796
9797
9798
9799
9800
9801
9802
9803
9804
9805
9806
9807
9808
9809
9810
9811
9812
9813
9814
9815
9816
9817
9818
9819
9820
9821
9822
9823
9824
9825
9826
9827
9828
9829
9830
9831
9832
9833
9834
9835
9836
9837
9838
9839
9840
9841
9842
9843
9844
9845
9846
9847
9848
9849
9850
9851
9852
9853
9854
9855
9856
9857
9858
9859
9860
9861
9862
9863
9864
9865
9866
9867
9868
9869
9870
9871
9872
9873
9874
9875
9876
9877
9878
9879
9880
9881
9882
9883
9884
9885
9886
9887
9888
9889
9890
9891
9892
9893
9894
9895
9896
9897
9898
9899
9900
9901
9902
9903
9904
9905
9906
9907
9908
9909
9910
9911
9912
9913
9914
9915
9916
9917
9918
9919
9920
9921
9922
9923
9924
9925
9926
9927
9928
9929
9930
9931
9932
9933
9934
9935
9936
9937
9938
9939
9940
9941
9942
9943
9944
9945
9946
9947
9948
9949
9950
9951
9952
9953
9954
9955
9956
9957
9958
9959
9960
9961
9962
9963
9964
9965
9966
9967
9968
9969
9970
9971
9972
9973
9974
9975
9976
9977
9978
9979
9980
9981
9982
9983
9984
9985
9986
9987
9988
9989
9990
9991
9992
9993
9994
9995
9996
9997
9998
9999
10000
10001
10002
10003
10004
10005
10006
10007
10008
10009
10010
10011
10012
10013
10014
10015
10016
10017
10018
10019
10020
10021
10022
10023
10024
10025
10026
10027
10028
10029
10030
10031
10032
10033
10034
10035
10036
10037
10038
10039
10040
10041
10042
10043
10044
10045
10046
10047
10048
10049
10050
10051
10052
10053
10054
10055
10056
10057
10058
10059
10060
10061
10062
10063
10064
10065
10066
10067
10068
10069
10070
10071
10072
10073
10074
10075
10076
10077
10078
10079
10080
10081
10082
10083
10084
10085
10086
10087
10088
10089
10090
10091
10092
10093
10094
10095
10096
10097
10098
10099
10100
10101
10102
10103
10104
10105
10106
10107
10108
10109
10110
10111
10112
10113
10114
10115
10116
10117
10118
10119
10120
10121
10122
10123
10124
10125
10126
10127
10128
10129
10130
10131
10132
10133
10134
10135
10136
10137
10138
10139
10140
10141
10142
10143
10144
10145
10146
10147
10148
10149
10150
10151
10152
10153
10154
10155
10156
10157
10158
10159
10160
10161
10162
10163
10164
10165
10166
10167
10168
10169
10170
10171
10172
10173
10174
10175
10176
10177
10178
10179
10180
10181
10182
10183
10184
10185
10186
10187
10188
10189
10190
10191
10192
10193
10194
10195
10196
10197
10198
10199
10200
10201
10202
10203
10204
10205
10206
10207
10208
10209
10210
10211
10212
10213
10214
10215
10216
10217
10218
10219
10220
10221
10222
10223
10224
10225
10226
10227
10228
10229
10230
10231
10232
10233
10234
10235
10236
10237
10238
10239
10240
10241
10242
10243
10244
10245
10246
10247
10248
10249
10250
10251
10252
10253
10254
10255
10256
10257
10258
10259
10260
10261
10262
10263
10264
10265
10266
10267
10268
10269
10270
10271
10272
10273
10274
10275
10276
10277
10278
10279
10280
10281
10282
10283
10284
10285
10286
10287
10288
10289
10290
10291
10292
10293
10294
10295
10296
10297
10298
10299
10300
10301
10302
10303
10304
10305
10306
10307
10308
10309
10310
10311
10312
10313
10314
10315
10316
10317
10318
10319
10320
10321
10322
10323
10324
10325
10326
10327
10328
10329
10330
10331
10332
10333
10334
10335
10336
10337
10338
10339
10340
10341
10342
10343
10344
10345
10346
10347
10348
10349
10350
10351
10352
10353
10354
10355
10356
10357
10358
10359
10360
10361
10362
10363
10364
10365
10366
10367
10368
10369
10370
10371
10372
10373
10374
10375
10376
10377
10378
10379
10380
10381
10382
10383
10384
10385
10386
10387
10388
10389
10390
10391
10392
10393
10394
10395
10396
10397
10398
10399
10400
10401
10402
10403
10404
10405
10406
10407
10408
10409
10410
10411
10412
10413
10414
10415
10416
10417
10418
10419
10420
10421
10422
10423
10424
10425
10426
10427
10428
10429
10430
10431
10432
10433
10434
10435
10436
10437
10438
10439
10440
10441
10442
10443
10444
10445
10446
10447
10448
10449
10450
10451
10452
10453
10454
10455
10456
10457
10458
10459
10460
10461
10462
10463
10464
10465
10466
10467
10468
10469
10470
10471
10472
10473
10474
10475
10476
10477
10478
10479
10480
10481
10482
10483
10484
10485
10486
10487
10488
10489
10490
10491
10492
10493
10494
10495
10496
10497
10498
10499
10500
10501
10502
10503
10504
10505
10506
10507
10508
10509
10510
10511
10512
10513
10514
10515
10516
10517
10518
10519
10520
10521
10522
10523
10524
10525
10526
10527
10528
10529
10530
10531
10532
10533
10534
10535
10536
10537
10538
10539
10540
10541
10542
10543
10544
10545
10546
10547
10548
10549
10550
10551
10552
10553
10554
10555
10556
10557
10558
10559
10560
10561
10562
10563
10564
10565
10566
10567
10568
10569
10570
10571
10572
10573
10574
10575
10576
10577
10578
10579
10580
10581
10582
10583
10584
10585
10586
10587
10588
10589
10590
10591
10592
10593
10594
10595
10596
10597
10598
10599
10600
10601
10602
10603
10604
10605
10606
10607
10608
10609
10610
10611
10612
10613
10614
10615
10616
10617
10618
10619
10620
10621
10622
10623
10624
10625
10626
10627
10628
10629
10630
10631
10632
10633
10634
10635
10636
10637
10638
10639
10640
10641
10642
10643
10644
10645
10646
10647
10648
10649
10650
10651
10652
10653
10654
10655
10656
10657
10658
10659
10660
10661
10662
10663
10664
10665
10666
10667
10668
10669
10670
10671
10672
10673
10674
10675
10676
10677
10678
10679
10680
10681
10682
10683
10684
10685
10686
10687
10688
10689
10690
10691
10692
10693
10694
10695
10696
10697
10698
10699
10700
10701
10702
10703
10704
10705
10706
10707
10708
10709
10710
10711
10712
10713
10714
10715
10716
10717
10718
10719
10720
10721
10722
10723
10724
10725
10726
10727
10728
10729
10730
10731
10732
10733
10734
10735
10736
10737
10738
10739
10740
10741
10742
10743
10744
10745
10746
10747
10748
10749
10750
10751
10752
10753
10754
10755
10756
10757
10758
10759
10760
10761
10762
10763
10764
10765
10766
10767
10768
10769
10770
10771
10772
10773
10774
10775
10776
10777
10778
10779
10780
10781
10782
10783
10784
10785
10786
10787
10788
10789
10790
10791
10792
10793
10794
10795
10796
10797
10798
10799
10800
10801
10802
10803
10804
10805
10806
10807
10808
10809
10810
10811
10812
10813
10814
10815
10816
10817
10818
10819
10820
10821
10822
10823
10824
10825
10826
10827
10828
10829
10830
10831
10832
10833
10834
10835
10836
10837
10838
10839
10840
10841
10842
10843
10844
10845
10846
10847
10848
10849
10850
10851
10852
10853
10854
10855
10856
10857
10858
10859
10860
10861
10862
10863
10864
10865
10866
10867
10868
10869
10870
10871
10872
10873
10874
10875
10876
10877
10878
10879
10880
10881
10882
10883
10884
10885
10886
10887
10888
10889
10890
10891
10892
10893
10894
10895
10896
10897
10898
10899
10900
10901
10902
10903
10904
10905
10906
10907
10908
10909
10910
10911
10912
10913
10914
10915
10916
10917
10918
10919
10920
10921
10922
10923
10924
10925
10926
10927
10928
10929
10930
10931
10932
10933
10934
10935
10936
10937
10938
10939
10940
10941
10942
10943
10944
10945
10946
10947
10948
10949
10950
10951
10952
10953
10954
10955
10956
10957
10958
10959
10960
10961
10962
10963
10964
10965
10966
10967
10968
10969
10970
10971
10972
10973
10974
10975
10976
10977
10978
10979
10980
10981
10982
10983
10984
10985
10986
10987
10988
10989
10990
10991
10992
10993
10994
10995
10996
10997
10998
10999
11000
11001
11002
11003
11004
11005
11006
11007
11008
11009
11010
11011
11012
11013
11014
11015
11016
11017
11018
11019
11020
11021
11022
11023
11024
11025
11026
11027
11028
11029
11030
11031
11032
11033
11034
11035
11036
11037
11038
11039
11040
11041
11042
11043
11044
11045
11046
11047
11048
11049
11050
11051
11052
11053
11054
11055
11056
11057
11058
11059
11060
11061
11062
11063
11064
11065
11066
11067
11068
11069
11070
11071
11072
11073
11074
11075
11076
11077
11078
11079
11080
11081
11082
11083
11084
11085
11086
11087
11088
11089
11090
11091
11092
11093
11094
11095
11096
11097
11098
11099
11100
11101
11102
11103
11104
11105
11106
11107
11108
11109
11110
11111
11112
11113
11114
11115
11116
11117
11118
11119
11120
11121
11122
11123
11124
11125
11126
11127
11128
11129
11130
11131
11132
11133
11134
11135
11136
11137
11138
11139
11140
11141
11142
11143
11144
11145
11146
11147
11148
11149
11150
11151
11152
11153
11154
11155
11156
11157
11158
11159
11160
11161
11162
11163
11164
11165
11166
11167
11168
11169
11170
11171
11172
11173
11174
11175
11176
11177
11178
11179
11180
11181
11182
11183
11184
11185
11186
11187
11188
11189
11190
11191
11192
11193
11194
11195
11196
11197
11198
11199
11200
11201
11202
11203
11204
11205
11206
11207
11208
11209
11210
11211
11212
11213
11214
11215
11216
11217
11218
11219
11220
11221
11222
11223
11224
11225
11226
11227
11228
11229
11230
11231
11232
11233
11234
11235
11236
11237
11238
11239
11240
11241
11242
11243
11244
11245
11246
11247
11248
11249
11250
11251
11252
11253
11254
11255
11256
11257
11258
11259
11260
11261
11262
11263
11264
11265
11266
11267
11268
11269
11270
11271
11272
11273
11274
11275
11276
11277
11278
11279
11280
11281
11282
11283
11284
11285
11286
11287
11288
11289
11290
11291
11292
11293
11294
11295
11296
11297
11298
11299
11300
11301
11302
11303
11304
11305
11306
11307
11308
11309
11310
11311
11312
11313
11314
11315
11316
11317
11318
11319
11320
11321
11322
11323
11324
11325
11326
11327
11328
11329
11330
11331
11332
11333
11334
11335
11336
11337
11338
11339
11340
11341
11342
11343
11344
11345
11346
11347
11348
11349
11350
11351
11352
11353
11354
11355
11356
11357
11358
11359
11360
11361
11362
11363
11364
11365
11366
11367
11368
11369
11370
11371
11372
11373
11374
11375
11376
11377
11378
11379
11380
11381
11382
11383
11384
11385
11386
11387
11388
11389
11390
11391
11392
11393
11394
11395
11396
11397
11398
11399
11400
11401
11402
11403
11404
11405
11406
11407
11408
11409
11410
11411
11412
11413
11414
11415
11416
11417
11418
11419
11420
11421
11422
11423
11424
11425
11426
11427
11428
11429
11430
11431
11432
11433
11434
11435
11436
11437
11438
11439
11440
11441
11442
11443
11444
11445
11446
11447
11448
11449
11450
11451
11452
11453
11454
11455
11456
11457
11458
11459
11460
11461
11462
11463
11464
11465
11466
11467
11468
11469
11470
11471
11472
11473
11474
11475
11476
11477
11478
11479
11480
11481
11482
11483
11484
11485
11486
11487
11488
11489
11490
11491
11492
11493
11494
11495
11496
11497
11498
11499
11500
11501
11502
11503
11504
11505
11506
11507
11508
11509
11510
11511
11512
11513
11514
11515
11516
11517
11518
11519
11520
11521
11522
11523
11524
11525
11526
11527
11528
11529
11530
11531
11532
11533
11534
11535
11536
11537
11538
11539
11540
11541
11542
11543
11544
11545
11546
11547
11548
11549
11550
11551
11552
11553
11554
11555
11556
11557
11558
11559
11560
11561
11562
11563
11564
11565
11566
11567
11568
11569
11570
11571
11572
11573
11574
11575
11576
11577
11578
11579
11580
11581
11582
11583
11584
11585
11586
11587
11588
11589
11590
11591
11592
11593
11594
11595
11596
11597
11598
11599
11600
11601
11602
11603
11604
11605
11606
11607
11608
11609
11610
11611
11612
11613
11614
11615
11616
11617
11618
11619
11620
11621
11622
11623
11624
11625
11626
11627
11628
11629
11630
11631
11632
11633
11634
11635
11636
11637
11638
11639
11640
11641
11642
11643
11644
11645
11646
11647
11648
11649
11650
11651
11652
11653
11654
11655
11656
11657
11658
11659
11660
11661
11662
11663
11664
11665
11666
11667
11668
11669
11670
11671
11672
11673
11674
11675
11676
11677
11678
11679
11680
11681
11682
11683
11684
11685
11686
11687
11688
11689
11690
11691
11692
11693
11694
11695
11696
11697
11698
11699
11700
11701
11702
11703
11704
11705
11706
11707
11708
11709
11710
11711
11712
11713
11714
11715
11716
11717
11718
11719
11720
11721
11722
11723
11724
11725
11726
11727
11728
11729
11730
11731
11732
11733
11734
11735
11736
11737
11738
11739
11740
11741
11742
11743
11744
11745
11746
11747
11748
11749
11750
11751
11752
11753
11754
11755
11756
11757
11758
11759
11760
11761
11762
11763
11764
11765
11766
11767
11768
11769
11770
11771
11772
11773
11774
11775
11776
11777
11778
11779
11780
11781
11782
11783
11784
11785
11786
11787
11788
11789
11790
11791
11792
11793
11794
11795
11796
11797
11798
11799
11800
11801
11802
11803
11804
11805
11806
11807
11808
11809
11810
11811
11812
11813
11814
11815
11816
11817
11818
11819
11820
11821
11822
11823
11824
11825
11826
11827
11828
11829
11830
11831
11832
11833
11834
11835
11836
11837
11838
11839
11840
11841
11842
11843
11844
11845
11846
11847
11848
11849
11850
11851
11852
11853
11854
11855
11856
11857
11858
11859
11860
11861
11862
11863
11864
11865
11866
11867
11868
11869
11870
11871
11872
11873
11874
11875
11876
11877
11878
11879
11880
11881
11882
11883
11884
11885
11886
11887
11888
11889
11890
11891
11892
11893
11894
11895
11896
11897
11898
11899
11900
11901
11902
11903
11904
11905
11906
11907
11908
11909
11910
11911
11912
11913
11914
11915
11916
11917
11918
11919
11920
11921
11922
11923
11924
11925
11926
11927
11928
11929
11930
11931
11932
11933
11934
11935
11936
11937
11938
11939
11940
11941
11942
11943
11944
11945
11946
11947
11948
11949
11950
11951
11952
11953
11954
11955
11956
11957
11958
11959
11960
11961
11962
11963
11964
11965
11966
11967
11968
11969
11970
11971
11972
11973
11974
11975
11976
11977
11978
11979
11980
11981
11982
11983
11984
11985
11986
11987
11988
11989
11990
11991
11992
11993
11994
11995
11996
11997
11998
11999
12000
12001
12002
12003
12004
12005
12006
12007
12008
12009
12010
12011
12012
12013
12014
12015
12016
12017
12018
12019
12020
12021
12022
12023
12024
12025
12026
12027
12028
12029
12030
12031
12032
12033
12034
12035
12036
12037
12038
12039
12040
12041
12042
12043
12044
12045
12046
12047
12048
12049
12050
12051
12052
12053
12054
12055
12056
12057
12058
12059
12060
12061
12062
12063
12064
12065
12066
12067
12068
12069
12070
12071
12072
12073
12074
12075
12076
12077
12078
12079
12080
12081
12082
12083
12084
12085
12086
12087
12088
12089
12090
12091
12092
12093
12094
12095
12096
12097
12098
12099
12100
12101
12102
12103
12104
12105
12106
12107
12108
12109
12110
12111
12112
12113
12114
12115
12116
12117
12118
12119
12120
12121
12122
12123
12124
12125
12126
12127
12128
12129
12130
12131
12132
12133
12134
12135
12136
12137
12138
12139
12140
12141
12142
12143
12144
12145
12146
12147
12148
12149
12150
12151
12152
12153
12154
12155
12156
12157
12158
12159
12160
12161
12162
12163
12164
12165
12166
12167
12168
12169
12170
12171
12172
12173
12174
12175
12176
12177
12178
12179
12180
12181
12182
12183
12184
12185
12186
12187
12188
12189
12190
12191
12192
12193
12194
12195
12196
12197
12198
12199
12200
12201
12202
12203
12204
12205
12206
12207
12208
12209
12210
12211
12212
12213
12214
12215
12216
12217
12218
12219
12220
12221
12222
12223
12224
12225
12226
12227
12228
12229
12230
12231
12232
12233
12234
12235
12236
12237
12238
12239
12240
12241
12242
12243
12244
12245
12246
12247
12248
12249
12250
12251
12252
12253
12254
12255
12256
12257
12258
12259
12260
12261
12262
12263
12264
12265
12266
12267
12268
12269
12270
12271
12272
12273
12274
12275
12276
12277
12278
12279
12280
12281
12282
12283
12284
12285
12286
12287
12288
12289
12290
12291
12292
12293
12294
12295
12296
12297
12298
12299
12300
12301
12302
12303
12304
12305
12306
12307
12308
12309
12310
12311
12312
12313
12314
12315
12316
12317
12318
12319
12320
12321
12322
12323
12324
12325
12326
12327
12328
12329
12330
12331
12332
12333
12334
12335
12336
12337
12338
12339
12340
12341
12342
12343
12344
12345
12346
12347
12348
12349
12350
12351
12352
12353
12354
12355
12356
12357
12358
12359
12360
12361
12362
12363
12364
12365
12366
12367
12368
12369
12370
12371
12372
12373
12374
12375
12376
12377
12378
12379
12380
12381
12382
12383
12384
12385
12386
12387
12388
12389
12390
12391
12392
12393
12394
12395
12396
12397
12398
12399
12400
12401
12402
12403
12404
12405
12406
12407
12408
12409
12410
12411
12412
12413
12414
12415
12416
12417
12418
12419
12420
12421
12422
12423
12424
12425
12426
12427
12428
12429
12430
12431
12432
12433
12434
12435
12436
12437
12438
12439
12440
12441
12442
12443
12444
12445
12446
12447
12448
12449
12450
12451
12452
12453
12454
12455
12456
12457
12458
12459
12460
12461
12462
12463
12464
12465
12466
12467
12468
12469
12470
12471
12472
12473
12474
12475
12476
12477
12478
12479
12480
12481
12482
12483
12484
12485
12486
12487
12488
12489
12490
12491
12492
12493
12494
12495
12496
12497
12498
12499
12500
12501
12502
12503
12504
12505
12506
12507
12508
12509
12510
12511
12512
12513
12514
12515
12516
12517
12518
12519
12520
12521
12522
12523
12524
12525
12526
12527
12528
12529
12530
12531
12532
12533
12534
12535
12536
12537
12538
12539
12540
12541
12542
12543
12544
12545
12546
12547
12548
12549
12550
12551
12552
12553
12554
12555
12556
12557
12558
12559
12560
12561
12562
12563
12564
12565
12566
12567
12568
12569
12570
12571
12572
12573
12574
12575
12576
12577
12578
12579
12580
12581
12582
12583
12584
12585
12586
12587
12588
12589
12590
12591
12592
12593
12594
12595
12596
12597
12598
12599
12600
12601
12602
12603
12604
12605
12606
12607
12608
12609
12610
12611
12612
12613
12614
12615
12616
12617
12618
12619
12620
12621
12622
12623
12624
12625
12626
12627
12628
12629
12630
12631
12632
12633
12634
12635
12636
12637
12638
12639
12640
12641
12642
12643
12644
12645
12646
12647
12648
12649
12650
12651
12652
12653
12654
12655
12656
12657
12658
12659
12660
12661
12662
12663
12664
12665
12666
12667
12668
12669
12670
12671
12672
12673
12674
12675
12676
12677
12678
12679
12680
12681
12682
12683
12684
12685
12686
12687
12688
12689
12690
12691
12692
12693
12694
12695
12696
12697
12698
12699
12700
12701
12702
12703
12704
12705
12706
12707
12708
12709
12710
12711
12712
12713
12714
12715
12716
12717
12718
12719
12720
12721
12722
12723
12724
12725
12726
12727
12728
12729
12730
12731
12732
12733
12734
12735
12736
12737
12738
12739
12740
12741
12742
12743
12744
12745
12746
12747
12748
12749
12750
12751
12752
12753
12754
12755
12756
12757
12758
12759
12760
12761
12762
12763
12764
12765
12766
12767
12768
12769
12770
12771
12772
12773
12774
12775
12776
12777
12778
12779
12780
12781
12782
12783
12784
12785
12786
12787
12788
12789
12790
12791
12792
12793
12794
12795
12796
12797
12798
12799
12800
12801
12802
12803
12804
12805
12806
12807
12808
12809
12810
12811
12812
12813
12814
12815
12816
12817
12818
12819
12820
12821
12822
12823
12824
12825
12826
12827
12828
12829
12830
12831
12832
12833
12834
12835
12836
12837
12838
12839
12840
12841
12842
12843
12844
12845
12846
12847
12848
12849
12850
12851
12852
12853
12854
12855
12856
12857
12858
12859
12860
12861
12862
12863
12864
12865
12866
12867
12868
12869
12870
12871
12872
12873
12874
12875
12876
12877
12878
12879
12880
12881
12882
12883
12884
12885
12886
12887
12888
12889
12890
12891
12892
12893
12894
12895
12896
12897
12898
12899
12900
12901
12902
12903
12904
12905
12906
12907
12908
12909
12910
12911
12912
12913
12914
12915
12916
12917
12918
12919
12920
12921
12922
12923
12924
12925
12926
12927
12928
12929
12930
12931
12932
12933
12934
12935
12936
12937
12938
12939
12940
12941
12942
12943
12944
12945
12946
12947
12948
12949
12950
12951
12952
12953
12954
12955
12956
12957
12958
12959
12960
12961
12962
12963
12964
12965
12966
12967
12968
12969
12970
12971
12972
12973
12974
12975
12976
12977
12978
12979
12980
12981
12982
12983
12984
12985
12986
12987
12988
12989
12990
12991
12992
12993
12994
12995
12996
12997
12998
12999
13000
13001
13002
13003
13004
13005
13006
13007
13008
13009
13010
13011
13012
13013
13014
13015
13016
13017
13018
13019
13020
13021
13022
13023
13024
13025
13026
13027
13028
13029
13030
13031
13032
13033
13034
13035
13036
13037
13038
13039
13040
13041
13042
13043
13044
13045
13046
13047
13048
13049
13050
13051
13052
13053
13054
13055
13056
13057
13058
13059
13060
13061
13062
13063
13064
13065
13066
13067
13068
13069
13070
13071
13072
13073
13074
13075
13076
13077
13078
13079
13080
13081
13082
13083
13084
13085
13086
13087
13088
13089
13090
13091
13092
13093
13094
13095
13096
13097
13098
13099
13100
13101
13102
13103
13104
13105
13106
13107
13108
13109
13110
13111
13112
13113
13114
13115
13116
13117
13118
13119
13120
13121
13122
13123
13124
13125
13126
13127
13128
13129
13130
13131
13132
13133
13134
13135
13136
13137
13138
13139
13140
13141
13142
13143
13144
13145
13146
13147
13148
13149
13150
13151
13152
13153
13154
13155
13156
13157
13158
13159
13160
13161
13162
13163
13164
13165
13166
13167
13168
13169
13170
13171
13172
13173
13174
13175
13176
13177
13178
13179
13180
13181
13182
13183
13184
13185
13186
13187
13188
13189
13190
13191
13192
13193
13194
13195
13196
13197
13198
13199
13200
13201
13202
13203
13204
13205
13206
13207
13208
13209
13210
13211
13212
13213
13214
13215
13216
13217
13218
13219
13220
13221
13222
13223
13224
13225
13226
13227
13228
13229
13230
13231
13232
13233
13234
13235
13236
13237
13238
13239
13240
13241
13242
13243
13244
13245
13246
13247
13248
13249
13250
13251
13252
13253
13254
13255
13256
13257
13258
13259
13260
13261
13262
13263
13264
13265
13266
13267
13268
13269
13270
13271
13272
13273
13274
13275
13276
13277
13278
13279
13280
13281
13282
13283
13284
13285
13286
13287
13288
13289
13290
13291
13292
13293
13294
13295
13296
13297
13298
13299
13300
13301
13302
13303
13304
13305
13306
13307
13308
13309
13310
13311
13312
13313
13314
13315
13316
13317
13318
13319
13320
13321
13322
13323
13324
13325
13326
13327
13328
13329
13330
13331
13332
13333
13334
13335
13336
13337
13338
13339
13340
13341
13342
13343
13344
13345
13346
13347
13348
13349
13350
13351
13352
13353
13354
13355
13356
13357
13358
13359
13360
13361
13362
13363
13364
13365
13366
13367
13368
13369
13370
13371
13372
13373
13374
13375
13376
13377
13378
13379
13380
13381
13382
13383
13384
13385
13386
13387
13388
13389
13390
13391
13392
13393
13394
13395
13396
13397
13398
13399
13400
13401
13402
13403
13404
13405
13406
13407
13408
13409
13410
13411
13412
13413
13414
13415
13416
13417
13418
13419
13420
13421
13422
13423
13424
13425
13426
13427
13428
13429
13430
13431
13432
13433
13434
13435
13436
13437
13438
13439
13440
13441
13442
13443
13444
13445
13446
13447
13448
13449
13450
13451
13452
13453
13454
13455
13456
13457
13458
13459
13460
13461
13462
13463
13464
13465
13466
13467
13468
13469
13470
13471
13472
13473
13474
13475
13476
13477
13478
13479
13480
13481
13482
13483
13484
13485
13486
13487
13488
13489
13490
13491
13492
13493
13494
13495
13496
13497
13498
13499
13500
13501
13502
13503
13504
13505
13506
13507
13508
13509
13510
13511
13512
13513
13514
13515
13516
13517
13518
13519
13520
13521
13522
13523
13524
13525
13526
13527
13528
13529
13530
13531
13532
13533
13534
13535
13536
13537
13538
13539
13540
13541
13542
13543
13544
13545
13546
13547
13548
13549
13550
13551
13552
13553
13554
13555
13556
13557
13558
13559
13560
13561
13562
13563
13564
13565
13566
13567
13568
13569
13570
13571
13572
13573
13574
13575
13576
13577
13578
13579
13580
13581
13582
13583
13584
13585
13586
13587
13588
13589
13590
13591
13592
13593
13594
13595
13596
13597
13598
13599
13600
13601
13602
13603
13604
13605
13606
13607
13608
13609
13610
13611
13612
13613
13614
13615
13616
13617
13618
13619
13620
13621
13622
13623
13624
13625
13626
13627
13628
13629
13630
13631
13632
13633
13634
13635
13636
13637
13638
13639
13640
13641
13642
13643
13644
13645
13646
13647
13648
13649
13650
13651
13652
13653
13654
13655
13656
13657
13658
13659
13660
13661
13662
13663
13664
13665
13666
13667
13668
13669
13670
13671
13672
13673
13674
13675
13676
13677
13678
13679
13680
13681
13682
13683
13684
13685
13686
13687
13688
13689
13690
13691
13692
13693
13694
13695
13696
13697
13698
13699
13700
13701
13702
13703
13704
13705
13706
13707
13708
13709
13710
13711
13712
13713
13714
13715
13716
13717
13718
13719
13720
13721
13722
13723
13724
13725
13726
13727
13728
13729
13730
13731
13732
13733
13734
13735
13736
13737
13738
13739
13740
13741
13742
13743
13744
13745
13746
13747
13748
13749
13750
13751
13752
13753
13754
13755
13756
13757
13758
13759
13760
13761
13762
13763
13764
13765
13766
13767
13768
13769
13770
13771
13772
13773
13774
13775
13776
13777
13778
13779
13780
13781
13782
13783
13784
13785
13786
13787
13788
13789
13790
13791
13792
13793
13794
13795
13796
13797
13798
13799
13800
13801
13802
13803
13804
13805
13806
13807
13808
13809
13810
13811
13812
13813
13814
13815
13816
13817
13818
13819
13820
13821
13822
13823
13824
13825
13826
13827
13828
13829
13830
13831
13832
13833
13834
13835
13836
13837
13838
13839
13840
13841
13842
13843
13844
13845
13846
13847
13848
13849
13850
13851
13852
13853
13854
13855
13856
13857
13858
13859
13860
13861
13862
13863
13864
13865
13866
13867
13868
13869
13870
13871
13872
13873
13874
13875
13876
13877
13878
13879
13880
13881
13882
13883
13884
13885
13886
13887
13888
13889
13890
13891
13892
13893
13894
13895
13896
13897
13898
13899
13900
13901
13902
13903
13904
13905
13906
13907
13908
13909
13910
13911
13912
13913
13914
13915
13916
13917
13918
13919
13920
13921
13922
13923
13924
13925
13926
13927
13928
13929
13930
13931
13932
13933
13934
13935
13936
13937
13938
13939
13940
13941
13942
13943
13944
13945
13946
13947
13948
13949
13950
13951
13952
13953
13954
13955
13956
13957
13958
13959
13960
13961
13962
13963
13964
13965
13966
13967
13968
13969
13970
13971
13972
13973
13974
13975
13976
13977
13978
13979
13980
13981
13982
13983
13984
13985
13986
13987
13988
13989
13990
13991
13992
13993
13994
13995
13996
13997
13998
13999
14000
14001
14002
14003
14004
14005
14006
14007
14008
14009
14010
14011
14012
14013
14014
14015
14016
14017
14018
14019
14020
14021
14022
14023
14024
14025
14026
14027
14028
14029
14030
14031
14032
14033
14034
14035
14036
14037
14038
14039
14040
14041
14042
14043
14044
14045
14046
14047
14048
14049
14050
14051
14052
14053
14054
14055
14056
14057
14058
14059
14060
14061
14062
14063
14064
14065
14066
14067
14068
14069
14070
14071
14072
14073
14074
14075
14076
14077
14078
14079
14080
14081
14082
14083
14084
14085
14086
14087
14088
14089
14090
14091
14092
14093
14094
14095
14096
14097
14098
14099
14100
14101
14102
14103
14104
14105
14106
14107
14108
14109
14110
14111
14112
14113
14114
14115
14116
14117
14118
14119
14120
14121
14122
14123
14124
14125
14126
14127
14128
14129
14130
14131
14132
14133
14134
14135
14136
14137
14138
14139
14140
14141
14142
14143
14144
14145
14146
14147
14148
14149
14150
14151
14152
14153
14154
14155
14156
14157
14158
14159
14160
14161
14162
14163
14164
14165
14166
14167
14168
14169
14170
14171
14172
14173
14174
14175
14176
14177
14178
14179
14180
14181
14182
14183
14184
14185
14186
14187
14188
14189
14190
14191
14192
14193
14194
14195
14196
14197
14198
14199
14200
14201
14202
14203
14204
14205
14206
14207
14208
14209
14210
14211
14212
14213
14214
14215
14216
14217
14218
14219
14220
14221
14222
14223
14224
14225
14226
14227
14228
14229
14230
14231
14232
14233
14234
14235
14236
14237
14238
14239
14240
14241
14242
14243
14244
14245
14246
14247
14248
14249
14250
14251
14252
14253
14254
14255
14256
14257
14258
14259
14260
14261
14262
14263
14264
14265
14266
14267
14268
14269
14270
14271
14272
14273
14274
14275
14276
14277
14278
14279
14280
14281
14282
14283
14284
14285
14286
14287
14288
14289
14290
14291
14292
14293
14294
14295
14296
14297
14298
14299
14300
14301
14302
14303
14304
14305
14306
14307
14308
14309
14310
14311
14312
14313
14314
14315
14316
14317
14318
14319
14320
14321
14322
14323
14324
14325
14326
14327
14328
14329
14330
14331
14332
14333
14334
14335
14336
14337
14338
14339
14340
14341
14342
14343
14344
14345
14346
14347
14348
14349
14350
14351
14352
14353
14354
14355
14356
14357
14358
14359
14360
14361
14362
14363
14364
14365
14366
14367
14368
14369
14370
14371
14372
14373
14374
14375
14376
14377
14378
14379
14380
14381
14382
14383
14384
14385
14386
14387
14388
14389
14390
14391
14392
14393
14394
14395
14396
14397
14398
14399
14400
14401
14402
14403
14404
14405
14406
14407
14408
14409
14410
14411
14412
14413
14414
14415
14416
14417
14418
14419
14420
14421
14422
14423
14424
14425
14426
14427
14428
14429
14430
14431
14432
14433
14434
14435
14436
14437
14438
14439
14440
14441
14442
14443
14444
14445
14446
14447
14448
14449
14450
14451
14452
14453
14454
14455
14456
14457
14458
14459
14460
14461
14462
14463
14464
14465
14466
14467
14468
14469
14470
14471
14472
14473
14474
14475
14476
14477
14478
14479
14480
14481
14482
14483
14484
14485
14486
14487
14488
14489
14490
14491
14492
14493
14494
14495
14496
14497
14498
14499
14500
14501
14502
14503
14504
14505
14506
14507
14508
14509
14510
14511
14512
14513
14514
14515
14516
14517
14518
14519
14520
14521
14522
14523
14524
14525
14526
14527
14528
14529
14530
14531
14532
14533
14534
14535
14536
14537
14538
14539
14540
14541
14542
14543
14544
14545
14546
14547
14548
14549
14550
14551
14552
14553
14554
14555
14556
14557
14558
14559
14560
14561
14562
14563
14564
14565
14566
14567
14568
14569
14570
14571
14572
14573
14574
14575
14576
14577
14578
14579
14580
14581
14582
14583
14584
14585
14586
14587
14588
14589
14590
14591
14592
14593
14594
14595
14596
14597
14598
14599
14600
14601
14602
14603
14604
14605
14606
14607
14608
14609
14610
14611
14612
14613
14614
14615
14616
14617
14618
14619
14620
14621
14622
14623
14624
14625
14626
14627
14628
14629
14630
14631
14632
14633
14634
14635
14636
14637
14638
14639
14640
14641
14642
14643
14644
14645
14646
14647
14648
14649
14650
14651
14652
14653
14654
14655
14656
14657
14658
14659
14660
14661
14662
14663
14664
14665
14666
14667
14668
14669
14670
14671
14672
14673
14674
14675
14676
14677
14678
14679
14680
14681
14682
14683
14684
14685
14686
14687
14688
14689
14690
14691
14692
14693
14694
14695
14696
14697
14698
14699
14700
14701
14702
14703
14704
14705
14706
14707
14708
14709
14710
14711
14712
14713
14714
14715
14716
14717
14718
14719
14720
14721
14722
14723
14724
14725
14726
14727
14728
14729
14730
14731
14732
14733
14734
14735
14736
14737
14738
14739
14740
14741
14742
14743
14744
14745
14746
14747
14748
14749
14750
14751
14752
14753
14754
14755
14756
14757
14758
14759
14760
14761
14762
14763
14764
14765
14766
14767
14768
14769
14770
14771
14772
14773
14774
14775
14776
14777
14778
14779
14780
14781
14782
14783
14784
14785
14786
14787
14788
14789
14790
14791
14792
14793
14794
14795
14796
14797
14798
14799
14800
14801
14802
14803
14804
14805
14806
14807
14808
14809
14810
14811
14812
14813
14814
14815
14816
14817
14818
14819
14820
14821
14822
14823
14824
14825
14826
14827
14828
14829
14830
14831
14832
14833
14834
14835
14836
14837
14838
14839
14840
14841
14842
14843
14844
14845
14846
14847
14848
14849
14850
14851
14852
14853
14854
14855
14856
14857
14858
14859
14860
14861
14862
14863
14864
14865
14866
14867
14868
14869
14870
14871
14872
14873
14874
14875
14876
14877
14878
14879
14880
14881
14882
14883
14884
14885
14886
14887
14888
14889
14890
14891
14892
14893
14894
14895
14896
14897
14898
14899
14900
14901
14902
14903
14904
14905
14906
14907
14908
14909
14910
14911
14912
14913
14914
14915
14916
14917
14918
14919
14920
14921
14922
14923
14924
14925
14926
14927
14928
14929
14930
14931
14932
14933
14934
14935
14936
14937
14938
14939
14940
14941
14942
14943
14944
14945
14946
14947
14948
14949
14950
14951
14952
14953
14954
14955
14956
14957
14958
14959
14960
14961
14962
14963
14964
14965
14966
14967
14968
14969
14970
14971
14972
14973
14974
14975
14976
14977
14978
14979
14980
14981
14982
14983
14984
14985
14986
14987
14988
14989
14990
14991
14992
14993
14994
14995
14996
14997
14998
14999
15000
15001
15002
15003
15004
15005
15006
15007
15008
15009
15010
15011
15012
15013
15014
15015
15016
15017
15018
15019
15020
15021
15022
15023
15024
15025
15026
15027
15028
15029
15030
15031
15032
15033
15034
15035
15036
15037
15038
15039
15040
15041
15042
15043
15044
15045
15046
15047
15048
15049
15050
15051
15052
15053
15054
15055
15056
15057
15058
15059
15060
15061
15062
15063
15064
15065
15066
15067
15068
15069
15070
15071
15072
15073
15074
15075
15076
15077
15078
15079
15080
15081
15082
15083
15084
15085
15086
15087
15088
15089
15090
15091
15092
15093
15094
15095
15096
15097
15098
15099
15100
15101
15102
15103
15104
15105
15106
15107
15108
15109
15110
15111
15112
15113
15114
15115
15116
15117
15118
15119
15120
15121
15122
15123
15124
15125
15126
15127
15128
15129
15130
15131
15132
15133
15134
15135
15136
15137
15138
15139
15140
15141
15142
15143
15144
15145
15146
15147
15148
15149
15150
15151
15152
15153
15154
15155
15156
15157
15158
15159
15160
15161
15162
15163
15164
15165
15166
15167
15168
15169
15170
15171
15172
15173
15174
15175
15176
15177
15178
15179
15180
15181
15182
15183
15184
15185
15186
15187
15188
15189
15190
15191
15192
15193
15194
15195
15196
15197
15198
15199
15200
15201
15202
15203
15204
15205
15206
15207
15208
15209
15210
15211
15212
15213
15214
15215
15216
15217
15218
15219
15220
15221
15222
15223
15224
15225
15226
15227
15228
15229
15230
15231
15232
15233
15234
15235
15236
15237
15238
15239
15240
15241
15242
15243
15244
15245
15246
15247
15248
15249
15250
15251
15252
15253
15254
15255
15256
15257
15258
15259
15260
15261
15262
15263
15264
15265
15266
15267
15268
15269
15270
15271
15272
15273
15274
15275
15276
15277
15278
15279
15280
15281
15282
15283
15284
15285
15286
15287
15288
15289
15290
15291
15292
15293
15294
15295
15296
15297
15298
15299
15300
15301
15302
15303
15304
15305
15306
15307
15308
15309
15310
15311
15312
15313
15314
15315
15316
15317
15318
15319
15320
15321
15322
15323
15324
15325
15326
15327
15328
15329
15330
15331
15332
15333
15334
15335
15336
15337
15338
15339
15340
15341
15342
15343
15344
15345
15346
15347
15348
15349
15350
15351
15352
15353
15354
15355
15356
15357
15358
15359
15360
15361
15362
15363
15364
15365
15366
15367
15368
15369
15370
15371
15372
15373
15374
15375
15376
15377
15378
15379
15380
15381
15382
15383
15384
15385
15386
15387
15388
15389
15390
15391
15392
15393
15394
15395
15396
15397
15398
15399
15400
15401
15402
15403
15404
15405
15406
15407
15408
15409
15410
15411
15412
15413
15414
15415
15416
15417
15418
15419
15420
15421
15422
15423
15424
15425
15426
15427
15428
15429
15430
15431
15432
15433
15434
15435
15436
15437
15438
15439
15440
15441
15442
15443
15444
15445
15446
15447
15448
15449
15450
15451
15452
15453
15454
15455
15456
15457
15458
15459
15460
15461
15462
15463
15464
15465
15466
15467
15468
15469
15470
15471
15472
15473
15474
15475
15476
15477
15478
15479
15480
15481
15482
15483
15484
15485
15486
15487
15488
15489
15490
15491
15492
15493
15494
15495
15496
15497
15498
15499
15500
15501
15502
15503
15504
15505
15506
15507
15508
15509
15510
15511
15512
15513
15514
15515
15516
15517
15518
15519
15520
15521
15522
15523
15524
15525
15526
15527
15528
15529
15530
15531
15532
15533
15534
15535
15536
15537
15538
15539
15540
15541
15542
15543
15544
15545
15546
15547
15548
15549
15550
15551
15552
15553
15554
15555
15556
15557
15558
15559
15560
15561
15562
15563
15564
15565
15566
15567
15568
15569
15570
15571
15572
15573
15574
15575
15576
15577
15578
15579
15580
15581
15582
15583
15584
15585
15586
15587
15588
15589
15590
15591
15592
15593
15594
15595
15596
15597
15598
15599
15600
15601
15602
15603
15604
15605
15606
15607
15608
15609
15610
15611
15612
15613
15614
15615
15616
15617
15618
15619
15620
15621
15622
15623
15624
15625
15626
15627
15628
15629
15630
15631
15632
15633
15634
15635
15636
15637
15638
15639
15640
15641
15642
15643
15644
15645
15646
15647
15648
15649
15650
15651
15652
15653
15654
15655
15656
15657
15658
15659
15660
15661
15662
15663
15664
15665
15666
15667
15668
15669
15670
15671
15672
15673
15674
15675
15676
15677
15678
15679
15680
15681
15682
15683
15684
15685
15686
15687
15688
15689
15690
15691
15692
15693
15694
15695
15696
15697
15698
15699
15700
15701
15702
15703
15704
15705
15706
15707
15708
15709
15710
15711
15712
15713
15714
15715
15716
15717
15718
15719
15720
15721
15722
15723
15724
15725
15726
15727
15728
15729
15730
15731
15732
15733
15734
15735
15736
15737
15738
15739
15740
15741
15742
15743
15744
15745
15746
15747
15748
15749
15750
15751
15752
15753
15754
15755
15756
15757
15758
15759
15760
15761
15762
15763
15764
15765
15766
15767
15768
15769
15770
15771
15772
15773
15774
15775
15776
15777
15778
15779
15780
15781
15782
15783
15784
15785
15786
15787
15788
15789
15790
15791
15792
15793
15794
15795
15796
15797
15798
15799
15800
15801
15802
15803
15804
15805
15806
15807
15808
15809
15810
15811
15812
15813
15814
15815
15816
15817
15818
15819
15820
15821
15822
15823
15824
15825
15826
15827
15828
15829
15830
15831
15832
15833
15834
15835
15836
15837
15838
15839
15840
15841
15842
15843
15844
15845
15846
15847
15848
15849
15850
15851
15852
15853
15854
15855
15856
15857
15858
15859
15860
15861
15862
15863
15864
15865
15866
15867
15868
15869
15870
15871
15872
15873
15874
15875
15876
15877
15878
15879
15880
15881
15882
15883
15884
15885
15886
15887
15888
15889
15890
15891
15892
15893
15894
15895
15896
15897
15898
15899
15900
15901
15902
15903
15904
15905
15906
15907
15908
15909
15910
15911
15912
15913
15914
15915
15916
15917
15918
15919
15920
15921
15922
15923
15924
15925
15926
15927
15928
15929
15930
15931
15932
15933
15934
15935
15936
15937
15938
15939
15940
15941
15942
15943
15944
15945
15946
15947
15948
15949
15950
15951
15952
15953
15954
15955
15956
15957
15958
15959
15960
15961
15962
15963
15964
15965
15966
15967
15968
15969
15970
15971
15972
15973
15974
15975
15976
15977
15978
15979
15980
15981
15982
15983
15984
15985
15986
15987
15988
15989
15990
15991
15992
15993
15994
15995
15996
15997
15998
15999
16000
16001
16002
16003
16004
16005
16006
16007
16008
16009
16010
16011
16012
16013
16014
16015
16016
16017
16018
16019
16020
16021
16022
16023
16024
16025
16026
16027
16028
16029
16030
16031
16032
16033
16034
16035
16036
16037
16038
16039
16040
16041
16042
16043
16044
16045
16046
16047
16048
16049
16050
16051
16052
16053
16054
16055
16056
16057
16058
16059
16060
16061
16062
16063
16064
16065
16066
16067
16068
16069
16070
16071
16072
16073
16074
16075
16076
16077
16078
16079
16080
16081
16082
16083
16084
16085
16086
16087
16088
16089
16090
16091
16092
16093
16094
16095
16096
16097
16098
16099
16100
16101
16102
16103
16104
16105
16106
16107
16108
16109
16110
16111
16112
16113
16114
16115
16116
16117
16118
16119
16120
16121
16122
16123
16124
16125
16126
16127
16128
16129
16130
16131
16132
16133
16134
16135
16136
16137
16138
16139
16140
16141
16142
16143
16144
16145
16146
16147
16148
16149
16150
16151
16152
16153
16154
16155
16156
16157
16158
16159
16160
16161
16162
16163
16164
16165
16166
16167
16168
16169
16170
16171
16172
16173
16174
16175
16176
16177
16178
16179
16180
16181
16182
16183
16184
16185
16186
16187
16188
16189
16190
16191
16192
16193
16194
16195
16196
16197
16198
16199
16200
16201
16202
16203
16204
16205
16206
16207
16208
16209
16210
16211
16212
16213
16214
16215
16216
16217
16218
16219
16220
16221
16222
16223
16224
16225
16226
16227
16228
16229
16230
16231
16232
16233
16234
16235
16236
16237
16238
16239
16240
16241
16242
16243
16244
16245
16246
16247
16248
16249
16250
16251
16252
16253
16254
16255
16256
16257
16258
16259
16260
16261
16262
16263
16264
16265
16266
16267
16268
16269
16270
16271
16272
16273
16274
16275
16276
16277
16278
16279
16280
16281
16282
16283
16284
16285
16286
16287
16288
16289
16290
16291
16292
16293
16294
16295
16296
16297
16298
16299
16300
16301
16302
16303
16304
16305
16306
16307
16308
16309
16310
16311
16312
16313
16314
16315
16316
16317
16318
16319
16320
16321
16322
16323
16324
16325
16326
16327
16328
16329
16330
16331
16332
16333
16334
16335
16336
16337
16338
16339
16340
16341
16342
16343
16344
16345
16346
16347
16348
16349
16350
16351
16352
16353
16354
16355
16356
16357
16358
16359
16360
16361
16362
16363
16364
16365
16366
16367
16368
16369
16370
16371
16372
16373
16374
16375
16376
16377
16378
16379
16380
16381
16382
16383
16384
16385
16386
16387
16388
16389
16390
16391
16392
16393
16394
16395
16396
16397
16398
16399
16400
16401
16402
16403
16404
16405
16406
16407
16408
16409
16410
16411
16412
16413
16414
16415
16416
16417
16418
16419
16420
16421
16422
16423
16424
16425
16426
16427
16428
16429
16430
16431
16432
16433
16434
16435
16436
16437
16438
16439
16440
16441
16442
16443
16444
16445
16446
16447
16448
16449
16450
16451
16452
16453
16454
16455
16456
16457
16458
16459
16460
16461
16462
16463
16464
16465
16466
16467
16468
16469
16470
16471
|
%!PS-Adobe-2.0
%%Creator: dvips(k) 5.86 Copyright 1999 Radical Eye Software
%%Title: p2p.final.corrected.dvi
%%Pages: 12
%%PageOrder: Ascend
%%BoundingBox: 0 0 612 792
%%DocumentFonts: Helvetica
%%EndComments
%DVIPSWebPage: (www.radicaleye.com)
%DVIPSCommandLine: dvips p2p.final.corrected
%DVIPSParameters: dpi=600, compressed
%DVIPSSource: TeX output 2002.09.26:1151
%%BeginProcSet: texc.pro%!PS-Adobe
/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S
N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72
mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0
0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{
landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize
mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[
matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round
exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{
statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0]
N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin
/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array
/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2
array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N
df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A
definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get
}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub}
B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr
1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3
1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx
0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx
sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{
rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp
gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B
/chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{
/cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{
A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy
get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse}
ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp
fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17
{2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add
chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{
1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop}
forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn
/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put
}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{
bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A
mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{
SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{
userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X
1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4
index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N
/p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{
/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT)
(LaserWriter 16/600)]{A length product length le{A length product exch 0
exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse
end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask
grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot}
imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round
exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto
fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p
delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M}
B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{
p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S
rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end
%%EndProcSet
%%BeginProcSet: special.pro
%!
TeXDict begin/SDict 200 dict N SDict begin/@SpecialDefaults{/hs 612 N
/vs 792 N/ho 0 N/vo 0 N/hsc 1 N/vsc 1 N/ang 0 N/CLIP 0 N/rwiSeen false N
/rhiSeen false N/letter{}N/note{}N/a4{}N/legal{}N}B/@scaleunit 100 N
/@hscale{@scaleunit div/hsc X}B/@vscale{@scaleunit div/vsc X}B/@hsize{
/hs X/CLIP 1 N}B/@vsize{/vs X/CLIP 1 N}B/@clip{/CLIP 2 N}B/@hoffset{/ho
X}B/@voffset{/vo X}B/@angle{/ang X}B/@rwi{10 div/rwi X/rwiSeen true N}B
/@rhi{10 div/rhi X/rhiSeen true N}B/@llx{/llx X}B/@lly{/lly X}B/@urx{
/urx X}B/@ury{/ury X}B/magscale true def end/@MacSetUp{userdict/md known
{userdict/md get type/dicttype eq{userdict begin md length 10 add md
maxlength ge{/md md dup length 20 add dict copy def}if end md begin
/letter{}N/note{}N/legal{}N/od{txpose 1 0 mtx defaultmatrix dtransform S
atan/pa X newpath clippath mark{transform{itransform moveto}}{transform{
itransform lineto}}{6 -2 roll transform 6 -2 roll transform 6 -2 roll
transform{itransform 6 2 roll itransform 6 2 roll itransform 6 2 roll
curveto}}{{closepath}}pathforall newpath counttomark array astore/gc xdf
pop ct 39 0 put 10 fz 0 fs 2 F/|______Courier fnt invertflag{PaintBlack}
if}N/txpose{pxs pys scale ppr aload pop por{noflips{pop S neg S TR pop 1
-1 scale}if xflip yflip and{pop S neg S TR 180 rotate 1 -1 scale ppr 3
get ppr 1 get neg sub neg ppr 2 get ppr 0 get neg sub neg TR}if xflip
yflip not and{pop S neg S TR pop 180 rotate ppr 3 get ppr 1 get neg sub
neg 0 TR}if yflip xflip not and{ppr 1 get neg ppr 0 get neg TR}if}{
noflips{TR pop pop 270 rotate 1 -1 scale}if xflip yflip and{TR pop pop
90 rotate 1 -1 scale ppr 3 get ppr 1 get neg sub neg ppr 2 get ppr 0 get
neg sub neg TR}if xflip yflip not and{TR pop pop 90 rotate ppr 3 get ppr
1 get neg sub neg 0 TR}if yflip xflip not and{TR pop pop 270 rotate ppr
2 get ppr 0 get neg sub neg 0 S TR}if}ifelse scaleby96{ppr aload pop 4
-1 roll add 2 div 3 1 roll add 2 div 2 copy TR .96 dup scale neg S neg S
TR}if}N/cp{pop pop showpage pm restore}N end}if}if}N/normalscale{
Resolution 72 div VResolution 72 div neg scale magscale{DVImag dup scale
}if 0 setgray}N/psfts{S 65781.76 div N}N/startTexFig{/psf$SavedState
save N userdict maxlength dict begin/magscale true def normalscale
currentpoint TR/psf$ury psfts/psf$urx psfts/psf$lly psfts/psf$llx psfts
/psf$y psfts/psf$x psfts currentpoint/psf$cy X/psf$cx X/psf$sx psf$x
psf$urx psf$llx sub div N/psf$sy psf$y psf$ury psf$lly sub div N psf$sx
psf$sy scale psf$cx psf$sx div psf$llx sub psf$cy psf$sy div psf$ury sub
TR/showpage{}N/erasepage{}N/copypage{}N/p 3 def @MacSetUp}N/doclip{
psf$llx psf$lly psf$urx psf$ury currentpoint 6 2 roll newpath 4 copy 4 2
roll moveto 6 -1 roll S lineto S lineto S lineto closepath clip newpath
moveto}N/endTexFig{end psf$SavedState restore}N/@beginspecial{SDict
begin/SpecialSave save N gsave normalscale currentpoint TR
@SpecialDefaults count/ocount X/dcount countdictstack N}N/@setspecial{
CLIP 1 eq{newpath 0 0 moveto hs 0 rlineto 0 vs rlineto hs neg 0 rlineto
closepath clip}if ho vo TR hsc vsc scale ang rotate rwiSeen{rwi urx llx
sub div rhiSeen{rhi ury lly sub div}{dup}ifelse scale llx neg lly neg TR
}{rhiSeen{rhi ury lly sub div dup scale llx neg lly neg TR}if}ifelse
CLIP 2 eq{newpath llx lly moveto urx lly lineto urx ury lineto llx ury
lineto closepath clip}if/showpage{}N/erasepage{}N/copypage{}N newpath}N
/@endspecial{count ocount sub{pop}repeat countdictstack dcount sub{end}
repeat grestore SpecialSave restore end}N/@defspecial{SDict begin}N
/@fedspecial{end}B/li{lineto}B/rl{rlineto}B/rc{rcurveto}B/np{/SaveX
currentpoint/SaveY X N 1 setlinecap newpath}N/st{stroke SaveX SaveY
moveto}N/fil{fill SaveX SaveY moveto}N/ellipse{/endangle X/startangle X
/yrad X/xrad X/savematrix matrix currentmatrix N TR xrad yrad scale 0 0
1 startangle endangle arc savematrix setmatrix}N end
%%EndProcSet
TeXDict begin 40258431 52099146 1000 600 600 (p2p.final.corrected.dvi)
@start
%DVIPSBitmapFont: Fa cmsy10 10 1
/Fa 1 16 df<EB0FE0EB7FFC497E0003EBFF804814C04814E04814F0A24814F84814FCA3
B612FEA76C14FCA36C14F86C14F0A26C14E06C14C06C1480C6EBFE006D5AEB0FE01F1F7B
A42A>15 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fb cmsy6 6 1
/Fb 1 4 df<136013F0A30060136000F013F0EAFC63EAFE67383FFFC03807FE00EA01F8
EA07FE383FFFC038FE67F0EAFC63EAF0F00060136000001300A3136014157B9620>3
D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fc cmsy7 7 1
/Fc 1 4 df<1338A50060130C00F8133E00FC137E00FE13FE383FBBF83807FFC0000113
00EA007C48B4FC000713C0383FBBF838FE38FE00FC137E00F8133E0060130C00001300A5
17197B9A22>3 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fd cmbx10 10 29
/Fd 29 122 df<EA0780EA1FE0EA3FF0EA7FF8A2EAFFFCA4EA7FF8A2EA3FF0EA1FE0EA07
800E0E7A8D1B>46 D<143C14FC1301130F137FB5FCA4139FEA001FB3B3A4007FB61280A5
213779B630>49 D<EB0FFC90387FFFC048B512F0000714FC4880391FC03FFF263F800F13
80267FC00313C06D6C13E0EAFFF06D6C13F0A2157F16F8A26C5A6C5A6C5A6C5AC8FC16F0
15FF16E0A24A13C016804A13005D4A5A4A5A4A5A4A5A5D4AC7FC14FE495AD903F013F849
5A495A495A90383E00014914F05B4848130348B6FC5A5A5A5A5AB712E0A525377BB630>
I<ED0FC0151F153FA2157F15FF5C5CA25C5C5CA2143E147E5C495A5C495A1307495A495A
5C133E137E5B485A5B1203485A485A5B48C7FC5A127E5AB81280A5C70001EBC000A90103
B61280A529377DB630>52 D<000C15C0D81F80130701F8137F90B6FC168016005D5D5D15
E05D92C7FC14F8010EC8FC90C9FCA7EB03FE90381FFFC0017F13F890B57E9038FC07FE90
38E003FFD980011380010014C0000E6D13E0C8FC16F0A316F8A2EA1F80487E487E487EA3
16F0A25B6C4814E0495A010014C06C4913806C6C481300390FF01FFE6CB55A6C5C6C14E0
6C6C1380D91FF8C7FC25387BB630>I<EC0FF8ECFFFE0103EBFF80010F14C090391FF80F
E090397FE003F09038FF800748EB000F4848EB1FF84848133FA2120F5B001FEC1FF0ED0F
E0003FEC07C04990C7FC127FA2EC3FC0ECFFF8D8FFF113FE01F37FD9F78113809039FF00
7FC049EB3FE04914F0ED1FF85B16FCA34914FEA4127FA5123F16FCA2121F6D14F8120FED
3FF06C6C14E06C6C137F3A01FF81FFC06C90B512806DEBFE006D5B010F13F00101138027
387CB630>I<DB3FFC14C00203B5EAC003021FECF00791B6EAFC0F0103EDFE1F499039FC
00FFBF011F01C0EB1FFF4948C71207D97FF8804948804849804849157F4849153F91C9FC
48171F485A180F123F5B1807127FA25B95C7FC12FFAB127FA26DEE07C0A2123FA27F001F
EF0F80A26C7E6CEF1F00806C6D153E6C6D157E6C6D5D6D6C4A5AD93FFEEC07F090261FFF
C0EB1FE0010701FCEBFFC06D90B6C7FC01005D021F14F8020314C09126003FFEC8FC3A3B
7BB945>67 D<B87E17F817FF18C018F028007FFC00077F9338007FFEEF1FFF0507138071
13C0837113E019F0187F19F8183F19FC181FA219FEA419FFAC19FEA419FC183FA219F818
7F19F0F0FFE05F4D13C04D1380051F1300EF7FFE933803FFFCB912F018C095C7FC17FC17
8040397DB849>I<B912C0A528007FFC000713E01600173F171F170F1707A31703A3047C
13F01701A494C7FC16FCA21501150791B5FCA5ECFC0715011500A2167CA693C8FCABB77E
A534397DB83C>70 D<DB3FFC14C00203B5EAC003021FECF00791B6EAFC0F0103EDFE1F49
9039FC00FFBF011F01C0EB1FFF4948C71207D97FF8804948804849804849157F4849153F
91C9FC48171F485A180F123F5B1807127FA25B95C8FC12FFAA047FB61280127FA27FA200
3FDB0007EBC000A27F121FA26C7E7E806C7F6C7F6C7F6D7ED93FFE5C90261FFFC05B0107
01FC90B5FC6D90B5EAFE7F0100EDFC1F021FECF0070203ECC0009126003FFEC9FC413B7B
B94B>I<B77EA526007FFCC9FCB3AAEF0F80A5171F1800A35FA35F5FA25E16075EEE7FFE
B8FCA531397DB839>76 D<B500FE0207B512F080A28181C66C6D90390003E0008181A201
7D7F017C7F6E7E6E7F6E7FA26E7F6E7F6E7F6E7F6E7FA26F7E6F13806F13C06F13E06F13
F0A26F13F86F13FC6F13FEEE7FFF701383A27013C37013E37013F37013FB7013FFA28283
838383A283838383187FA2183FB500FE151F180F18071803A244397DB84B>78
D<003FB91280A5267FF801D9F00313C001E015000180163F0100161FA2007E170FA2007C
1707A400FC18E0481703A4C793C7FCB3AC011FB7FCA53B387DB742>84
D<EB3FFE0003B512E04814F84880391FF007FE393FF801FF6E7F82157F6C4880A26C5AEA
0380C8FCA291B5FC130F90B6FC0003EBF87F481380381FFC00485A5B485A485AA515FF6C
6C5A6C6C487F903AFC0FBFFFC06CB5123F0007497E6CEBF80F39007FC0032A257DA42E>
97 D<903801FFC0010F13FC017F7F90B6FC48018013802607FE0113C0EA0FFC13F8EA1F
F0003F6D1380A24848EB7F00151C92C7FC12FFA9127F7FA2123F6DEB03E0121F6C6CEB07
C07F6C6CEB0F8000019038E03F006CEBFFFE6D5B010F13F00101138023257DA42A>99
D<49B47E011F13F0017F13FC90B57E0003903881FF803907FE007F4848EB3FC04848EB1F
E05B003FEC0FF0A2485A16F8150712FF90B6FCA401E0C8FCA4127FA27F123F16F86C7E6C
6C13016DEB03F06C6CEB07E00001EBE01F6C90B51280013F1400010F13FC010013C02525
7DA42C>101 D<163FD907FEEBFF8090267FFFE113C048B512FB489138FFDFE02607FC03
131F380FF000001F159F484890387FCFC0EEC780007FEDE000A7003F5DA26C6C495A000F
92C7FC3907FC03FE90B55A485C6D13E0261E07FEC8FC90CAFCA2123FA213C06CB512F8ED
FF8016E06C81826C816C81000F815A273FC0000F13804848130148C8127FA56C6CECFF00
6C6C495AD81FF0EB07FCD80FFEEB3FF86CB65A000115C06C6C91C7FC010713F02B377DA5
30>103 D<13FFB5FCA512077EAEED7FC0913803FFF84A7F021F7F91383F03FFDA780113
8014F04A6C13C05C5CA391C7FCB3A2B5D8FC3F13FFA5303A7DB935>I<13F0EA03FC487E
487EA2481380A46C1300A26C5A6C5AEA00F090C7FCA813FF127FA512077EB3A7B512F8A5
153B7DBA1B>I<13FFB5FCA512077EB3B3AAB512FCA5163A7DB91B>108
D<01FED97FE0EB0FFC00FF902601FFFC90383FFF8002076D90B57E021FD9FF0380DA3F03
903987E07FF0DA78009039CF001FF800074914DE6C6C48D97FFC6D7E4A5C4A5CA391C75B
B3A2B5D8FC1FB50083B512F0A54C257DA451>I<01FEEB7FC000FF903803FFF84A7F021F
7F91383F03FFDA78011380000713F06C6C486C13C05C5CA391C7FCB3A2B5D8FC3F13FFA5
30257DA435>I<903801FFC0010F13F8017F13FF90B67E0003018013E03A07FE003FF0D8
0FF8EB0FF8001F81491307003F81491303007F81A300FF1680A9007F1600A36C6C495AA2
001F5D6D130F6C6C495A6C6C495A6C6C6CB45A6C90B55A6C6C91C7FC011F13FC010113C0
29257DA430>I<01FFEBFF80B5000F13F8023F7F91B6FCDAFE071380DAF00113C0000790
39C0007FE06C4914F091C7123F17F8161F17FCA2160F17FEA917FC161FA217F8163F17F0
6EEB7FE06E13FFDAF00113C0DAFC07138091B5EAFE00023F5B020F13F0020190C7FC91C9
FCABB512FCA52F357EA435>I<9038FE07F000FFEB1FFC4A7E4A7E02F8138002E113C0EA
07FF6C13C1A202801380A2ED7F00151C91C8FCB3B512FEA522257EA427>114
D<90383FF0383903FFFEF84813FF121F383FC00FEB0003007E1301140012FEA27E6D1300
13F8EBFFE06C13FC14FF6C14C06C14E06C14F0000314F8C614FC131F9038007FFE140700
78130112F814007EA26C14FC6C1301018013F89038F00FF090B512E000FD14C000F01400
38E01FF81F257DA426>I<131FA55BA45BA25BA25A5A5A001FEBFFE0B6FCA4000390C7FC
B115F8A86CEB01F014816CEBC3E090387FFFC06D13806D1300EB03FC1D357EB425>I<01
FFEC3FC0B5EB3FFFA5000714016C80B3A25DA25D6C5C4B13E06CD9C03E13FF90387FFFFC
6D5B6D13E00103130030257DA435>I<B539F003FFF8A5000390C7EA3E006E137E6C157C
6E13FC6C5DECE001017F5CA2ECF003013F5CECF807011F5CECFC0F010F5C151FD907FE90
C7FCA26E5A6D133E15FE6D5BA26D5BA36E5AA26E5AA26E5AA26E5AA2141F92C8FC5C003F
133E387F807E38FFC07C14FC5CEAF80138FC07F0387E1FE0387FFFC06C90C9FC6C5AEA07
F02D357EA432>121 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fe cmbx9 9 20
/Fe 20 118 df<EA0F80EA1FC0EA3FE0EA7FF0EAFFF8A5EA7FF0EA3FE0EA1FC0EA0F800D
0D7A8C19>46 D<143C14FC1303131FEA03FFB5FCA3EAFC1F1200B3B2007FB512FEA41F31
7AB02C>49 D<EB1FF890B57E000314E04814F8391FE07FFC393F001FFE6E7E486C6C1380
6D7ED8FFE014C08016E0A3EA7FC0EA3F80EA1F00C7FC16C05C1680A24A13005D4A5A4A5A
15E04A5A4A5A02FEC7FC495A903903F003E0EB07E0EB0FC0EB1F8090393E0007C05B4913
0F48B6FC5A5A5A5A5A481580B7FCA423317CB02C>I<EB0FFC90387FFFC048B512F03903
F81FF83907C00FFC48486C7ED81FC07F13E0D83FF0148013F8A41600EA1FF06C485AD803
805BC75B4A5A4A5AECFFE0013F5B92C7FC8115F09038003FF8EC0FFC6E7E816E138016C0
A2000F15E0EA1F80EA3FC0EA7FE0EAFFF0A316C0A2D87FE01480495AD83F801400001F49
5A390FF03FFC6CB55A6C14E0C61480D91FF8C7FC23327CB02C>I<153F5D5DA25C5C5C5C
A25C5C5C91B5FC14FBEB01F31303EB07E3EB0FC31483EB1F03133F137E13FC13F8EA01F0
1203EA07E0EA0FC01380EA1F005A127E5AB712FEA4C700071300A80107B512FEA427317E
B02C>I<000C140ED80FE013FE90B5FCA25D5D5D5D158092C7FC14FC14E001BCC8FC1380
A5EB83FC90389FFF8090B512E015F89038FC0FFC9038E003FE01C07F496C1380130016C0
C7FCA216E0A2120C123FEA7F8013C0EAFFE0A216C013C016806C485A01001400003E5C39
1F800FFC390FE03FF86CB55A6C14C0C691C7FCEB1FF823327CB02C>I<EC7FC0903803FF
F0010F7F90383FE07C90387F803E9038FF003F48485B4848EBFF8000075BEA0FF8A2121F
003F6D130049137E153C007F91C7FCA214FF01F113C0D8FFF313F001F77F9038FF07FC90
38FC03FE6E7E01F81480A216C013F0A216E0A4127FA4123F16C0A2121F1680EA0FF80007
15006D485A6C6C485A6CB55A6C6C13E0011F5BD907FEC7FC23327CB02C>I<123EEA3F80
90B612F8A416F04815E016C0168016005D5D007EC7FC007C495A4A5A48495A4A5A5D4AC7
FCC75A147E147C14FC495AA21303A2495AA2130FA3495AA3133FA4137FA86D5AA2010FC8
FC25337BB12C>I<EB07FE90383FFFC090B512F03901F807F83903E001FC48486C7E4848
137F121FED3F80A2123F7F7F7F01FCEB7F0013FFECC0FE6C13F0ECF9FC6CEBFFF85D6C5C
6C806C806C804880000780D80FF71480EA1FE1263FC07F13C0141F267F800713E08048C7
FC157F153F151FA316C06C7E16806D133F003F1500D81FF013FE390FFC03FC6CB55A0001
5C6C6C13C0D90FFCC7FC23327CB02C>I<EB07FC90383FFF8090B57E3903FE0FF03907F8
07F8000F6D7E48486C7E123F81127F1680A200FF15C0A516E0A4127F5CA2123FA2001F5B
EA0FF83807FC1F3803FFFD6C13F926007FF113C0EB1FE1EB0001A2D807801480EA0FC0EA
1FE0486C481300A25D4A5A01E05B381FC00F49485A390FE07FC06CB55A6C91C7FC6C13FC
38003FC023327CB02C>I<B812FCA4C69038F0003FEE07FE160316011600177EA2173EA3
923803E03F171FA403071300A2150F153F91B5FCA4ECF03F150F1507A21503A592C8FCAB
B612FCA430337DB238>70 D<003FB812F8A4D9F803EBC03FD87FC0ED07FC018015030100
1501007E1600A2007C177CA400FC177E48173EA4C71600B3A9011FB612F8A437327DB13E
>84 D<EB7FFE0003B512E04814F84880391FF80FFEEC03FF6E13808016C06C5A6C5AEA01
80C8FC91B5FC131F48B6FC000713F8481300EA1FFCEA3FF0485A485AA56C6C5A5C263FF8
1F13E06CB5EA7FFF6C497E0003EBF81F39007FC00728217EA02B>97
D<13FE12FFA4120F1207ADEC07FE91383FFFC090B612F0829138F00FFC9138C003FE9138
0001FF491580A26F13C0A317E0A917C0A34B138017006D5B9138C007FE9138F01FFC01FB
B55A01F014E0D9E03F13809026C007FCC7FC2B347EB331>I<EB03FF011F13F0017F13FC
48B57E0007EB01FF260FFC0013804848EB7FC049133F003FEC1FE0A2485A16F0A2B7FCA4
01E0C8FCA3127FA27F123FED01F06C7E6C6C13036C6CEB07E03A03FFC01FC06C90B51280
6C6C1400011F13FC010113C024217EA029>101 D<16F890390FFC03FC90B5EACFFE0003
91B5FC48151F3A0FF807FC7F391FF003FE3A3FE001FF7E163C007F1580A6003F1500A26C
6C485A6C6C485A6CB55A485C000E14C0261E0FFCC7FC90C9FCA2123F7F90B512F06C14FE
EDFF8016E06C15F06C15F8A2001F15FC5A3A7F80001FFE90C71203481401A46C6CEB03FC
6D13076C6CEB0FF8D81FFCEB7FF06CB612E000031580C6ECFE00010F13E028327EA12C>
103 D<EA01F0EA07FC487EA2487EA56C5AA26C5AEA01F0C8FCA713FE12FFA4120F1207B3
A5B512E0A413357DB419>105 D<13FE12FFA4120F1207B3B3A6B512F0A414347DB319>
108 D<3901FC1F8000FFEB7FF0ECFFF801FD13FCECE7FE380FFFC76C1387A21407EC03FC
EC01F89038FE00601500B1B512F8A41F217EA024>114 D<01FE14FE00FF14FFA4000F14
0F00071407B2150FA2151F0003143F6D90B5FC6CD9FFF713F06C14E76D138790380FFC07
2C217DA031>117 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Ff cmr7 7 10
/Ff 10 58 df<EB3F803801FFF03803E0F83807803C48487E001E7F003E1480A2003C13
07007C14C0A400FC14E0AE007C14C0A36CEB0F80A36CEB1F006C131E6C6C5A3803E0F86C
B45A38003F801B277EA521>48 D<13381378EA01F8121F12FF12FE12E01200B3AAB512F8
A315267BA521>I<13FF000313E0000F7F381E07F8383801FC486C7E0078137F00FC7F6C
1480A2141FA2127CC7123F1500A2147EA25C5C495A495AEB078049C7FC131E5B13709038
E00380EA01C0EA03803907000700120E1218003FB5FC5AB55AA319267DA521>I<13FF00
0713E0487F381F01F8383C00FC147E007E137F80A3003C5BC7127EA25C5C495AEB0FE038
01FF8091C7FC380003E0EB00F8147C147E80A21580A21238127C12FEA21500485B007813
7E5C383F03F86CB45A000713C0C690C7FC19277DA521>I<1438147814F8A21301130313
07A2130E131C1338A2137013E0A2EA01C0EA0380EA0700A2120E5A121812385A5AB612E0
A3C7EAF800A890383FFFE0A31B277EA621>I<0010130C001F137CEBFFF85C5C148049C7
FCEA1DF0001CC8FCA6137F381DFFE0381F81F0381E0078001C7F0018133EC77EA31580A2
1230127C12FCA3150000F05B0070133E00785B6C13FC381F03F8380FFFE000035BC648C7
FC19277DA521>I<EB0FE0EB3FF8EBFFFC3801F81E3803E01F3807803F120FEA1F00121E
003E131E91C7FC127E127C1304EB3FC038FCFFF038FDC078B4C67E143E48131E141FA248
1480A4127CA4003C1400123E001E133EA26C5B3807C0F86CB45A6C13C06C6CC7FC19277D
A521>I<1238123E003FB512E0A34814C0158039780007000070130EA2485B5C5CC7FC5C
495A495AA249C7FC5BA2131EA3133EA2133C137CA413FCA7137813301B287DA621>I<13
7F3803FFE04813F8380F80FC381E003E48131E0038131F00787FA3127C007E131EEA3F80
EBE03C6C6C5A380FFCF03807FFC06C5BC613E0487F38079FFC380F07FEEA1E0348C67E48
133FEC1F8048130F1407A46C140000785B007C130E6C133C381F80F86CB45A00035BC66C
C7FC19277DA521>I<137F3801FFC000077F380FC1F0381F0078003E7F143E5A141E00FC
131FA41580A4007C133FA2123C003E137F121E380F01DF3807FF9F3801FE1FD800101300
1300A2143E123C007E133C147C14785C387C01E0383C07C0381FFF806C90C7FCEA03F819
277DA521>I E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fg cmr9 9 75
/Fg 75 124 df<91391FE007F09139FFF81FF801079038FE7FFC903A0FE01FFC7E903A1F
803FF0FF90397E007FE0495C5B0001167E4990383F803C0003021F1300ABB812C0A33B03
F0001F8000B3A7486C497EB50083B5FCA330357FB42D>11 D<EC0FF0EC7FFC903803FFFE
903807F01F90390FC0078090383F001F017EEB3FC0137C13FC5B0001EC1F80ED0F0092C7
FCA8ED0FC0B7FCA33901F8001F150FB3A6486CEB1FE0267FFFC1B5FCA328357FB42B>I<
121C127FA2EAFF80A7EA7F00AB123EAB121CA6C7FCA7121C123E127FEAFF80A3EA7F0012
3E121C09367AB515>33 D<033013180378133CA34B5BA54A485BA44A48485AA54A48485A
A5007FB812FCB912FEA26C17FCC7261E000FC7FC4A131EA54A5BA54A5B007FB812FCB912
FEA26C17FC280003C001E0C7FCA44948485AA44948485AA4011E49C8FCA449131EA4495B
A30130131837437CB340>35 D<147CEB01FE497E903807C38090380F01C0131F131E9038
3E00E0A2137E137CA3137E4A5AA24A5A140792C9FCEB3E0EEB3F1C143C4A90381FFFF05C
6D5A4A01031300EE01F8010F6E5A496C5C013F4A5A497E01F34A5A3801E3F8D803C14AC7
FC260781FC130E48C67E485D48137F003E6D6C5A007E5DEC1FC000FE6D6C5A913807F1C0
EDF380EC03FB6EB4C712706C6D5A6C147F6F6C13E06C6C497E001F903901EFE001903BC0
07C7F003C03C0FF03F81FE0F802703FFFE00B512006C01F8EB3FFE26003FC0EB07F03438
7DB53C>38 D<121C127E127FEAFF80A213C0127FA2121D1201A4EA0380A3EA0700A2120E
A25A5A5A12200A187AB315>I<EB01C01303EB0780EB0F00131E5B133813785B485AA248
5AA2485AA2120F90C7FC5AA2121E123EA3123C127CA512FCA25AAC7EA2127CA5123C123E
A3121E121FA27E7F1207A26C7EA26C7EA26C7E13781338133C7F7FEB0780EB03C0130112
4A79B71E>I<12C07E7E12787E7E120E120F6C7E6C7EA26C7EA26C7EA27F1378137CA213
3C133EA3131E131FA51480A2130FAC131FA21400A5131E133EA3133C137CA2137813F85B
A2485AA2485AA2485A48C7FC120E121E5A5A5A5A5A114A7BB71E>I<121C127E127FEAFF
80A213C0127FA2121D1201A4EA0380A3EA0700A2120EA25A5A5A12200A187A8815>44
D<B512F0A514057F921A>I<121C123E127FEAFF80A3EA7F00123E121C09097A8815>I<15
301578A215F0A3EC01E0A3EC03C0A3EC0780A3EC0F00A3141EA25CA35CA35CA3495AA349
5AA3495AA249C7FCA3131EA35BA35BA35BA3485AA3485AA2485AA348C8FCA3121EA35AA3
5AA35AA212601D4B7CB726>I<EB0FE0EB7FFC497E3903F83F803907E00FC0EBC007390F
8003E0001F14F0EB00014814F8A3007EEB00FCA500FE14FEB2007E14FCA56CEB01F8A36C
14F0EB8003000F14E03907C007C0EBE00F3903F83F803900FFFE006D5AEB0FE01F347DB1
26>I<13075B5B13FF120FB5FC133F12F01200B3B3A2497E007FB51280A319327AB126>I<
EB3FC0EBFFF0000313FC380780FE380E003F48EB1F804814C0EC0FE05A007CEB07F0B4FC
15F813801403A2EA7F00A2001C1307C7FC15F0A3EC0FE015C0141F1580EC3F00147E147C
5C495A495A495A5C49C7FC131E5B4913385B485A491370485A48C7FC000E14F0001FB5FC
5A5AB612E0A31D327CB126>I<EB1FE0EB7FFC48B5FC3903E03F803907800FC0D80E0013
E048EB07F0121FD83F8013F8EBC003A4381F8007D80F0013F0C7FCA2EC0FE0A2EC1FC015
80EC3F00EB01FEEB7FF814E014FCEB003FEC0F80EC07E015F0140315F815FC140115FEA2
123E127FEAFF80A315FCEB0003007E14F812780038EB07F06C14E0000FEB0FC03907E03F
806CB51200C613FCEB1FE01F347DB126>I<EC03C01407A2140FA2141F143FA2147F14FF
14EF1301EB03CF148F1307140F130E131E131C13381378137013F0EA01E013C01203EA07
8013005A120E5A123C123812785AB71280A3C7380FC000A94A7E0107B51280A321337EB2
26>I<000814C0381F800F90B5FC1580ECFE005C14F014C0D81C7CC7FC90C8FCA9EB0FC0
EB3FF8EBFFFC381DF07E381FC01F9038000F8015C0001E1307001C14E0000C14F0C71203
A315F8A31218123E127F5AA215F0A2481307007814E012700078EB0FC0003814806CEB1F
006C133E3807C0FC6CB45A6C13E038007F801D347CB126>I<14FE903807FF804913C090
383F01E090387C00709038F801F03901F003F83803E007EA07C0A2EA0F80001FEB03F0EC
01E048C8FCA35A007E7FEB07F8EB1FFE38FE3FFF9038700F809038E007C09038C003E039
FF8001F015F81300EC00FCA25A15FEA4127EA56C14FCA36CEB01F8A2D80F8013F0EC03E0
EA07C03903E007C03901F81F803900FFFE00EB3FFCEB0FE01F347DB126>I<1238123E00
3FB6FCA34814FE15FCA20078C712380070147015E0A248EB01C0EC0380A2C7EA0700140E
5CA25C5CA25C1301A2495AA213075C130FA2131FA349C7FCA35BA55BA8137E133C20347C
B126>I<EB0FE0EB7FFC90B5FC3901F01F803903C007C039078003E0380F00014814F012
1E003EEB00F8A4123FA290388001F0EA1FC09038E003E0D80FF813C09038FE07803907FF
1F006C13FE6C5B6C5BEB3FFC49B4FC48B51280D803E113C0D807C013E0390F803FF0391F
001FF8003E1307EC03FC48130015FE48147EA2153EA4153C127C157C6C147815F06CEB01
E0390FC003C03907F01F800001B5120038007FFCEB1FE01F347DB126>I<EB0FE0EB7FF8
EBFFFE3801F83F3903E00F803907C007C0390F8003E0EA1F0048EB01F0A2007E14F8A300
FEEB00FCA515FEA4127E1401A27E14037E380F80063807C00E3803E01C3801FFF86CEBF0
FCEB3FC0EB020090C7FCEC01F8A3000F14F0381F8003D83FC013E0A2EC07C0EC0F800180
1300381F001E001E137C380F81F86CB45A6C13C0C66CC7FC1F347DB126>I<15E04A7EA3
4A7EA34A7EA3EC0EFEA3EC1C7FA34A6C7EA202787FEC701FA202F07FECE00FA2010180EC
C007A2010380EC8003A249486C7EA3010E6D7E010FB5FCA24980011CC77EA2496E7EA201
78810170141FA201F08149140FA20001821607487ED80FF84A7EB549B512E0A333367DB5
3A>65 D<B7FC16E016F83A03FC0003FE0001EC00FFEE7F80EE3FC0161FEE0FE0A217F0A6
17E0161F17C0EE3F80EE7F00ED01FEED07FC90B612F05E16FC9039FC0001FE9238007F80
EE1FC017E0EE0FF0160717F8160317FCA617F81607A2EE0FF0EE1FE0163FEE7FC0000391
3803FF00B75A16F816C02E337DB236>I<DA07FC130C91393FFF801C91B512E0903A03FE
01F03C903A0FF0003C7CD91FC0131E49C7EA07FC017E14035B4848140148481400120748
48157CA24848153CA2485AA2007F161CA390C9FC481600AB7E6D151CA3123FA26C6C1538
A26C7E17706C7E000316E06C7E6C6CEC01C0017EEC03806DEC0700D91FC0130ED90FF013
3C903903FE01F80100B55A023F13C0DA07FEC7FC2E377CB437>I<B77E16F016FE3A01FE
0001FF00009138003FC0EE0FE0707E707E707E707E177E177FEF3F80A2EF1FC0A3EF0FE0
A418F0AA18E0A3171F18C0A21880173F18005F17FE5F4C5AEE07F04C5AEE3FC000014AB4
5AB748C7FC16F8168034337EB23B>I<B812C0A3D803FCC7FC0001151FEE07E01603A216
01A21600A4030E1370A41700151EA2153E15FE90B5FCA3EBFC00153E151EA2150E171CA3
173892C7FCA41778A2177017F01601A21607160F0003157FB812E0A32E337DB234>I<B8
1280A33903FC00010001EC003FEE0FC01607A21603A21601A4EE00E0150EA31700A2151E
A2153E15FE90B5FCA3EBFC00153E151EA2150EA592C8FCAB487EB512FEA32B337DB232>
I<DA07FC130C91393FFF801C91B512E0903A03FE01F03C903A0FF0003C7CD91FC0131E49
C7EA07FC017E14035B484814014848140012074848157CA24848153CA2485AA2007F161C
A390C9FC4893C7FCAA0303B512E07E7F92390003FE00705A123F7F121FA26C7EA26C7E12
036C7E6C7E017E14036D1407D91FC0EB0F7CD90FF0EB1E3CD903FEEBFC1C0100B5EAF00C
023F01C0C7FCDA07FEC8FC33377CB43C>I<B5D8FE03B512F8A3000190C73807FC006C48
6E5AB390B7FCA349C71203B3A3486C4A7EB5D8FE03B512F8A335337EB23A>I<B512FEA3
000113006C5AB3B3A7487EB512FEA317337EB21C>I<013FB51280A39039001FF0006E5A
B3B0121C127FA2EAFF80A25DEB001F7E007C495A003891C7FC6C137E380F81FC6CB45A6C
13E0C66CC8FC21357EB227>I<B500FE90380FFFF8A3000190C7000313006C48EC01F85F
17C04C5A4CC7FC160E163C5E5E4B5A4B5A4B5A4BC8FC151E5D5D15F814014A7E4A7E140E
EC1C7F4A6C7E14704A6C7E6D486C7E02807FEC0007496D7E8215016F7E8282707E707EA2
707E707E8316038383486C913807FF80B500FE013F13FCA336337EB23C>I<B512FEA3D8
03FEC9FC6C5AB3A9EE0380A416071700A45EA25EA25E16FF4B5A0003140FB7FCA329337D
B230>I<D8FFFE923803FFF8A3D803FF923807FE006C5FD9DF80140EA3D9CFC0141CA3D9
C7E01438A2D9C3F01470A3D9C1F814E0A3D9C0FCEB01C0A2027EEB0380A36EEB0700A391
381F800EA36E6C5AA26E6C5AA36E6C5AA36E6C5AA2913800FDC0A3ED7F80A3486C6DC7FC
D80FF84B7EB5D8801E90387FFFF8A33D337CB246>I<D8FFFE91383FFFF87FA2C66D0101
13006EEB007C1738EBEFE0EBE7F0A2EBE3F8EBE1FC8013E0147F81143F6E7E81140F6E7E
6E7EA26E7E6E7E8181ED3F8016C0151FED0FE016F01507ED03F8ED01FCA2ED00FE167F17
B8163FEE1FF8A2160F1607A216031601486C1400EA07FCB500E014781738A235337EB23A
>I<EC07FC91387FFFC049B512F0903907FC07FC90390FE000FED93F80EB3F8049C76C7E
01FE6E7E48486E7E48486E7E49140148486E7E000F8249157E001F167FA24848ED3F80A2
007F17C0A290C9121FA24817E0AB6C17C06D153FA3003F17806D157FA2001F17006D5D00
0F5E6C6C4A5AA26C6C4A5A6C6C4A5A6C6C4A5A017F4A5A6D6C495AD91FE001FFC7FC9039
07FC07FC0101B512F06D6C13C0DA07FCC8FC33377CB43C>I<B612FEEDFFC016F03A03FC
0007FC0001EC00FE167FEE3F80EE1FC017E0160FA217F0A617E0A2161F17C0EE3F80EE7F
0016FEED07FC90B612F016C04BC7FC01FCC9FCB3487EB512F8A32C337DB234>I<B612FC
EDFF8016F03A01FE0007FC0000EC01FEED007F707E707E83160F83A75F161F5F4C5A4CC7
FCED01FEED07FC90B612F01680829039FE001FE0ED03F06F7E6F7E82167E167FA683A418
1CA2EE3FC0A2486C021F1338B500FE14E093380FF070933803FFE0C96C13C09338003F80
36357EB239>82 D<90381FE00390387FFC0748B5FC3903F01F8F39078003DF48C7B4FC00
1E804880A24880A200F880A381A27EA2007E91C7FC127F13C0EA3FF013FF6C13F06C13FF
6C14C06C80C614F8013F7F01037FEB003FEC03FF1400ED3F80151F16C0150F126000E014
07A47E1680A26C140F16006C5C6C141E6C6C5BD8FBE013F839F1FC03F000E0B55A011F13
8026C003FEC7FC22377CB42B>I<007FB712FEA39039C007F001D87E00EC007E007C163E
0078161E170E127000F0160FA3481607A6C71500B3AB4A7E011FB512FCA330337DB237>
I<B500FE90383FFFF8A3000190C7000113006C48EC007C1738B3AF017E5DA2137F7F5F6D
7E4C5A6D6C495A6D6C49C7FC6D6C130E6D6C133C9039007F01F86EB45A020F13C0DA01FE
C8FC35357EB23A>I<B500F0903807FFF8A3D807FEC813C06C48ED3F000001163C171C6C
6C5DA26D15786D1570A26E14F0013F5DA26D6C495AA26E1303010F5DA26D6C49C7FCA280
0103140EA26E131E0101141CA26D6C5BA26E13786E1370A2ED80F0023F5BA291381FC1C0
A215E3020F5BA2DA07F7C8FCA215FF6E5AA36E5AA26E5AA3157035357EB23A>I<B5D8F0
07B590381FFFF0A3D803FEC7D83FF0010313006C48DA1FC0EB00FC1A786D6E7E00001970
A27114F0017F60A24C7E6D6C4C5AA24C7E6D6C01394A5AA2EE79FE6D6C01704AC7FCA2EE
F0FF6D6C496C130EA21501D903F8496C6C5AA3913BFC03801FC03C01011738A2913BFE07
000FE07801001770A2DAFF0E903807F0F0027F5EA24BEB03F9DA3F9C5DA203B8EB01FDDA
1FF8ECFF80A36E486D90C8FCA36E48147EA36E48143CA34C357FB24F>I<267FFFFC90B5
12C0A3C601E090383FF800D97F80EB0FC0013F5D6E91C7FC6D6C131E010F141C6E133C6D
6C5B010314706E13F06D6C485AD900FF5B150391387F8780DA3FC7C8FC15CFEC1FFE6E5A
5D14076E7EA26E7E4A7EA24A7F91380F3FC0140E91381E1FE04A6C7EEC380702787F4A6C
7EECE00101018049486C7E49487F91C77F496E7E011E6E7E131C013C6E7E017C6E7E13FC
D807FFEC1FFEB500C090B512F8A335337EB23A>I<B500F8903801FFFEA3000301809038
007FE0C690C8EA3F00171E6D6C5C6D6C143817786D6C14705F6D6C13016D6C5C16036D6C
495A6D6C91C7FC5E6D6C130E5E91387F803C91383FC03816786E6C5A6E6C5A15F1913807
FBC05EEC03FF6E90C8FC5D1400B14A7E91B512FCA337337FB23A>I<EAFFF0A4EAF000B3
B3B3ADEAFFF0A40C4B79B715>91 D<EAFFF0A41200B3B3B3AD12FFA40C4B7FB715>93
D<EB7F803803FFF04813FC380F80FE381F003F486C6C7E6D6C7EA26E7EEA1F80EA0F00C7
FCA3EB03FF133F3801FFC73803FC07EA0FE0EA1FC0EA3F80EA7F00A200FEECE1C0A4140F
A2007F131B393F8033F33A1FC0E1FF80260FFFC113006CEB80FE3900FE007C22237DA126
>97 D<EA03F012FFA312071203AEEC3FC0ECFFF001F313FC9038F7C0FE9038FE003F49EB
1F8049EB0FC05BED07E0A216F01503A216F8A816F0A2150716E0A26DEB0FC016806DEB1F
0001EE133E9038C781FC9038C3FFF8018113E0C7EA3F8025357EB32B>I<EB07F8EB3FFF
90B512803901FC07C03903F003E03907E007F0380FC00FEA1F80A2393F0007E0EC03C048
90C7FC127EA212FEA8127E127FA26C14387F001F14706C7E6C6C13E03903F001C03901FE
07806CB51200EB3FFEEB07F01D237EA122>I<153FEC0FFFA3EC007F81AEEB0FF0EB7FFC
90B5FC3901FC0FBF3907E001FF48487E497F001F8048C7FCA25A127EA212FEA8127EA212
7F7EA26C6C5B5D6C6C5A6C6C4813803A03F81F3FFC3801FFFE38007FF8D91FE013002635
7DB32B>I<EB0FE0EB7FFC497E3801F83F3903E00F803907C007C0390F8003E0121FD83F
0013F014015A007E14F8A212FEB6FCA348C8FCA5127E127FA26C14386C7E15706C7E6C6C
13E03903F001C03901FE07806CB51200EB3FFEEB07F01D237EA122>I<14FEEB03FF010F
138090381F8FC090383E1FE0137C13F81201EC0FC03903F0078091C7FCABB512F0A3D803
F0C7FCB3A7487E387FFFE0A31B357FB417>I<151F90391FC07F8090387FF0FF3A01FFFD
E7C03903F07F873907C01F073A0F800F8380001FECC000EB00074880A76C5CEB800F000F
5C6C6C48C7FCEBF07EEBFFFC380C7FF0EB1FC0001CC9FCA2121EA27EEBFFFE6CEBFFC015
F06C80000F80391F0001FE003EEB007F48141F168048140FA5007CEC1F00A2003F147E6C
6C5B390FF007F80003B512E0C61480D91FFCC7FC22337EA126>I<EA03F012FFA3120712
03AEEC1FC0EC7FF09038F1FFF89038F3C0FC9038F7007E13FE497F5BA35BB3486CEB7F80
B538C7FFFCA326347EB32B>I<1207EA0F80EA1FC0EA3FE0A3EA1FC0EA0F80EA0700C7FC
A9EA07E012FFA3120F1207B3A6EA0FF0B5FCA310337EB215>I<EB01C0EB03E0EB07F0EB
0FF8A3EB07F0EB03E0EB01C090C7FCA9EB01F8137FA313031301B3AF1218127E00FF13F0
1303A214E0387E07C0387C0F80383FFF00EA1FFCEA03F0154385B217>I<EA03F012FFA3
12071203AF913807FFE0A36E1300EC01F8EC03E05D4A5A020EC7FC143C5C5C13F1EBF3F8
13F7EBFEFCEBFC7EEBF83E497E816E7E1407816E7E1401816E7E81486C7FB500C313F0A3
24347EB329>I<EA07E012FFA3120F1207B3B3A7EA0FF0B5FCA310347EB315>I<2703F01F
E013FF00FF90267FF80313C04A6C487F903BF3C0FE1E07F03C07F7003F3801F8D803F614
3001FC90391FE000FC495CA3495CB3486C496C487EB53BC7FFFE3FFFF0A33C217EA041>
I<3903F01FC000FFEB7FF09038F1FFF89038F3C0FC3907F7007EEA03FE497F5BA35BB348
6CEB7F80B538C7FFFCA326217EA02B>I<EB07F0EB3FFE90B57E3901F80FC03903E003E0
48486C7E48486C7E001F8090C7127C48147E003E143E007E143FA300FE1580A8007E1500
A2007F5C6C147EA26C6C5BA26C6C485A6C6C485A3903F80FE0C6B51280D93FFEC7FCEB07
F021237EA126>I<3903F03FC000FFEBFFF001F313FC9038F7C0FE3907FE007F6C48EB3F
8049EB1FC049130F16E0150716F0A2150316F8A816F01507A216E0150F6D14C0ED1F806D
EB3F006D137E9038F781FC9038F3FFF801F113E09038F03F8091C8FCAA487EB512C0A325
307EA02B>I<90380FE00790383FFC0FEBFFFE3801FC0F3903F0039F3907E001DF48486C
B4FC48487F123F90C77E5AA2127E12FEA8127E127FA27E6D5B121F6D5B6C6C5A3907F007
BF3903F81F3F3800FFFEEB7FF8EB0FE090C7FCAAED7F8091380FFFFCA326307DA029>I<
3803E07C00FF13FF01E113809038E39FC03807E71FEA03EE9038EC0F809038FC070049C7
FCA35BB2487EB512E0A31A217FA01E>I<EBFF06000713CE4813FEEA1F00003C133E007C
131E127800F8130EA37E6C90C7FCEA7F8013F86CB47E6C13E06C13F86C7F00017F38000F
FF1300EC3F800060131F12E0140F7EA27E15006C5B6C133E38FF80FC38F7FFF800E113E0
38C07F8019237EA11E>I<1370A513F0A31201A212031207120F121FB512FEA33803F000
AF1407A8140EEA01F8A23800FC1CEB7FF8EB3FF0EB0FC0182F7FAD1E>I<D803F0133F00
FFEB0FFFA30007EB007F000380B3A25DA25D12019039F801BF803A00FC073FFCEB7FFEEB
3FFCD907F0130026227EA02B>I<B53801FFF0A33A0FF0007F806C48EB1F006D131E0003
141C153C6C6C1338A26D137800001470A2017E5BA2EB7F01013F5BA290381F8380A214C7
010F90C7FCA2EB07EEA214FE6D5AA26D5AA36D5AA224217E9F29>I<B53A1FFFC3FFF0A3
3C07F800FE007F804949EB3E000003161CA26D486C133C00011638A26D486C1378000002
9F1370A2D9FE07EB80F0017E010F5BA2D97F0F13C190263F0E075BA2029E13E390261F9C
035BA202FC13F790260FF80190C7FCA216FF6D486C5AA36D48137CA36D48133834217F9F
37>I<B53803FFF8A32603FC0013800001ECFC0000005C017E5B90387F01E090383F83C0
011F5BEB0FC7D907EFC7FC14FE6D5A6D5A6D7E80497E5BECDF809038079FC090380F0FE0
EB1E0790381C03F090383C01F801787FEBF0000001147ED80FF813FF26FFFC0313FCA326
207F9F29>I<3A7FFF80FFF8A33A07F8003FC06C48EB1F806C6CEB0F00150E6D131E0000
141CA2017E5BA2017F13786D1370A26D6C5AA214C1010F5B14E301075BA2D903F7C7FCA2
14FF6D5AA26D5AA31478A21470A214F05CA2495A127CEAFE035C49C8FC5BEAFC1EEA783C
EA3FF86C5AEA07C025307F9F29>I<003FB512F0A39038800FE0393E001FC0003C148000
38133F0078EB7F0014FE00705B1301495A495A00005B495A131F495AEC0070137E13FE48
5A485A4913F01207484813E0381FC0011380003F1303387F001FB6FCA31C207E9F22>I<
B712F8A32503809426>I E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fh cmr10 10 80
/Fh 80 125 df<DA07FC13FC91393FFF07FF49B5009F1380903B03FC07FF8FC0903B0FE0
03FE0FE0903A1FC007FC1F90383F800FD97F0013F8017EED0FC001FE903907F007804992
C7FC1201ACB812F8A32801FC0007F0C7FCB3AB486C497E267FFFE0B512F0A3333B7FBA30
>11 D<EC07F8EC3FFE49B57E903903FC07C090390FE001E090381FC0034948487E90387F
000F137E13FE496D5A00016E5A6F5A92C8FCA9ED07F0B7FCA33901FC001F1507B3AA486C
497E267FFFE0B512C0A32A3B7FBA2E>I<EC07FC91387FFF7049B512F0903803FC079038
0FE00FEB1FC0EB3F005B017E130713FE5B1201ACB7FCA33901FC0007B3AB486C497E267F
FFF1B512C0A32A3B7FBA2E>I<DA07FCEB0FF0DA3FFFEB7FFC49B50083B5FC903C03FC07
C7F80F80903C0FE000FFC003C0494848EB800749484849487E49484848131F017E5C13FE
494A6D5A000102036E5A72C7FC95C8FCA9F00FE0BAFCA33C01FC0003F8003F180FB3AA48
6C496C497E267FFFF0B500E3B51280A3413B7FBA45>I<DA07FCEB0FF8913B3FFF80FFFE
E049B500C313FF903B03FC03E7F80FD90FE09038FFC01F4948481380D93F80EBFE00EB7F
00017E4A130F01FE1303496D5A00011403ACBAFCA33C01FC0003F8000FB3AB486C496C49
7E267FFFF0B500E3B51280A3413B7FBA45>I<001E130F003FEB1F80397F803FC039FFC0
7FE0A201E013F0A2007F133F003F131F001EEB0F7000001300A4484813E0A339038001C0
A23907000380A2000EEB070048130E003C131E0038131C001013081C1A7DB92A>34
D<017C166048B416F0486D14012607C3C05D260F01E01403486C6CEC0FC0001E017C4A5A
003E017F147F91273FE003FFC7FC48013BB55A023814BE91391C0FFC3C00FC91C75A17F8
5F4C5A16035F4C5A160F94C8FC007C151E4A133E163C6C5D4A13F8001E5D001F49485AD8
0F0113032607C3C05B6CB448485A6CEB000FD8007C91C9FC90C7001EEB07C0033EEB1FF0
033C497E4BEB7C3C03F8497E9239F001F00EDA01E0497E0203130303C0EC038091390780
07C0140F1500021E010FEB01C0143E143C5C14F85C495A13035C495A010F0207EB038091
C7FC131E013EEC03E0013CEE070049140101F8EDF00E49913800F81E4848ED7C3C0003EE
3FF8496F5A6C48ED07C03A437BBD45>37 D<121E123FEA7F80EAFFC0A213E0A2127F123F
121E1200A4EA01C0A3EA0380A2EA0700A2120E5A123C123812100B1A7AB917>39
D<14E01301EB03C0EB0780EB0F00131EA25B5B13F85B12015B12035B1207A2485AA2121F
90C7FCA25AA2123EA2127EA5127C12FCB2127C127EA5123EA2123FA27EA27F120FA26C7E
A212037F12017F12007F13787F7FA27FEB0780EB03C0EB01E01300135278BD20>I<1260
12F012787E7E7EA26C7E6C7E7F12017F12007F1378137CA27FA2133F7FA21480A2130FA2
14C0A5130714E0B214C0130FA51480A2131FA21400A25B133EA25BA2137813F85B12015B
12035B485A48C7FCA2121E5A5A5A126013527CBD20>I<121E123FEA7F80EAFFC0A213E0
A2127F123F121E1200A4EA01C0A3EA0380A2EA0700A2120E5A123C123812100B1A7A8917
>44 D<B512FCA616067F941C>I<121E123FEA7F80EAFFC0A4EA7F80EA3F00121E0A0A7A
8917>I<150C151EA2153CA31578A315F0A3EC01E0A3EC03C0A3EC0780A3EC0F00A3141E
A35CA35CA35CA3495AA3495AA2495AA349C7FCA3131EA35BA35BA35BA3485AA3485AA348
5AA348C8FCA3121EA35AA35AA35AA212601F537BBD2A>I<EB03F8EB1FFF017F13C09038
FE0FE03901F803F048486C7E48486C7E4848137EA248487FA2003F1580A290C7121F4815
C0A64815E0B36C15C0A56C6CEB3F80A3001F1500A26C6C137EA26C6C5B6C6C485A6C6C48
5A3900FE0FE090387FFFC0011F90C7FCEB03F8233A7DB72A>I<EB01C013031307131F13
FFB5FCA2131F1200B3B3A8497E007FB512F0A31C3879B72A>I<EB0FF0EB7FFE48B57E39
03E03FC03907800FE0390E0007F0486D7E48806E7E5A6E7E127CB4FC16807F157FA26CC7
FCA2001C14FFC8FC1600A25C5D5D14035D4A5A4A5A5D4A5A4AC7FC143E5C5C495A495A49
5A5C49C8FC011EEB03805B5B491307484814005B485A48C75A48B6FC5A5A485CB6FCA321
387CB72A>I<EB07F8EB3FFF4913C03901F80FE03903E003F0D807807F496C7E488013C0
486C6C7EA4120F495AD803805BC7FCA25D14035D4A5A5D4A5AEC7F80D91FFEC7FC5CECFF
809038000FE0EC03F06E7E6E7E81157F1680A2ED3FC0A216E0A2123E127F487EA316C090
C7FC48147F007C158012706CECFF006C5C000F495A3907C003F83903F80FF06CB512C06C
6C90C7FCEB07F8233A7DB72A>I<157815F8A214011403A21407A2140F141FA2143F147B
147314F3EB01E314C31303EB07831403130F131E131C133C1378137013F0EA01E013C012
031380EA07005A120E121E5A123812785AB712F8A3C73803F800AB4A7E0103B512F8A325
397EB82A>I<0004140C000F143C9038F003FC90B55A5D5D158092C7FC14FC000E13F090
C9FCABEB07F8EB1FFE90387FFF809038F80FC0390FE007E090388003F0496C7E000E6D7E
1206C87EA2157FA31680A31218123E127F5AA316005A00785C00705CA26C495A5D6C495A
6C495A6C6C485A3903E03F806CB5C7FC38007FFCEB1FE0213A7CB72A>I<EC3FC0903801
FFF0010713FC90380FE03E90381F000F013E5B49EB3F8049137F485A485A120749EB3F00
000F141E001F91C7FC5BA2123FA3387F0020EB03FF4913C0497F39FF1C03F090383000F8
49137C157E497FA2491480151F16C0A290C7FC16E0A47EA57E6D14C0A2121FED3F80120F
6D14000007147E6C6C137C6D5B6C6C485A3900FE07E090383FFFC06D90C7FCEB03FC233A
7DB72A>I<1238123C123F90B612E0A316C0481580A216000078C7120E00705CA25D00F0
5C5A5D4A5AC7FC4A5A4AC7FC140EA25C143C14381478147014F0A2495AA21303A2495AA2
130FA3131F5CA3133FA5137FA96DC8FC131E233B7BB82A>I<EB03F8EB1FFF4913C09038
FC07E03901F001F03903C000F8157C48487F120F90C7FC815AA37FA26D133EA2D80FF013
3C6D137CD807FE5B6D5B6CEBC3E06CEBE7C06CEBFF806D48C7FC6D7E010F7F013F13E049
7FD801F813FC3903E03FFE3807C01F390F8007FF48486C1380001E1300003EEC7FC04814
1FED0FE0A2481407A21503A416C0127CED07807EED0F006C141E6C6C5BD807E013F83903
FC03F0C6B55A013F1380D907FCC7FC233A7DB72A>I<EB03F8EB1FFF017F7F9038FC07E0
3901F001F048486C7E48487F000F147C4848137E153E003F143F48C7FC1680A248141F16
C0A516E0A47E153FA27E7F001F147FA26C6C13DF12073903E0019F3901F8071F2600FFFE
13C0EB7FFCEB1FF8EB00801400ED3F80A31600A2000F147E487E486C5B5D14015D49485A
6C48485A001EEB1F80260FC07FC7FC3807FFFC000113F038003FC0233A7DB72A>I<121E
123FEA7F80EAFFC0A4EA7F80EA3F00121EC7FCB0121E123FEA7F80EAFFC0A4EA7F80EA3F
00121E0A247AA317>I<121E123FEA7F80EAFFC0A4EA7F80EA3F00121EC7FCB0121E123F
EA7F8012FF13C0A3127F123F121F1201A4EA0380A312071300A2120E121E121C5AA21210
0A347AA317>I<1538157CA315FEA34A7EA34A7FA34A7F153FA2020F7FEC0E1FA2021E7F
EC1C0FA2023C7FEC3807A202787FEC7003A202F07FECE001A20101804A7EA20103814A13
7FA201078191C7123F91B6FC4981A2010EC7121F011E81011C140FA2013C8101381407A2
01788101701403A201F08116011201486C81D80FFE02071380B500C090B512FEA3373C7D
BB3E>65 D<B712E016FC16FF0001903980007FC06C90C7EA1FE0707E707E707EA2707EA2
83A65FA216035F4C5A160FEE1FE0EE7FC04B485A91B548C7FCA2707E91C7EA3FE0EE0FF0
707E707E707E707EA21880177F18C0A7188017FFA24C13005F16034C5AEE1FF8486DEB7F
F0B812C094C7FC16F832397DB83B>I<4AB4EB0180020FEBE003027F13F8903A01FF807E
07903A03FC000F0FD90FF0EB079FD91FC0EB01DF4948EB00FF49C8127F13FE4848153F48
48151FA24848150F120F5B001F1607A2485AA21703127FA25B94C7FC12FFAB127FA26DED
0380A2123FA36C7EEF0700120F7F0007160E6C7E5F6C7E6C6C5D017F5D6D6C14F06D6C49
5AD90FF0495AD903FC010FC7FC903901FF807E6D6CB45A020F13F002011380313D7BBA3C
>I<B712C016F816FE000190398001FF806C90C7EA3FE0EE0FF0EE03F8707E707E177FA2
EF3F8018C0171F18E0170F18F0A3EF07F8A418FCAC18F8A4EF0FF0A218E0A2171F18C0EF
3F80A2EF7F0017FE4C5A4C5AEE0FF0EE3FE0486DEBFF80B8C7FC16F816C036397DB83F>
I<B812FCA30001903880001F6C90C71201707E177E173E171EA2170EA4170F83ED01C0A3
94C7FCA31503A21507151F91B5FCA3EC001F15071503A21501A218E0A3170192C713C0A4
1703A3EF0780A2170FA2171F173F17FF486D010F1300B9FCA333397DB839>I<B812F8A3
0001903880001F6C90C71203EE01FC1600177C173CA2171CA4171E170EA2ED0380A21700
A41507A2150F153F91B5FCA3EC003F150F1507A21503A692C8FCAD4813C0B612C0A32F39
7DB836>I<DBFF8013C0020FEBF001023F13FC9139FF803E03903A03FC000F87D907F0EB
03CFD91FC0EB01EF4948EB007F49C8FC01FE153F4848151FA24848150F485A000F16075B
001F1603A2485AA21701127FA25B94C7FC12FFAA93B6FC127FA26D9138007FE0EF3FC012
3FA36C7EA26C7EA212076C7E6C7EA26C7E017F157F6D7ED91FE014EFD907F0EB01C7D903
FCEB0783903A00FFC03F0191393FFFFE00020F01F8130002001380383D7CBA41>I<B648
B512FEA30001902680000313006C90C76C5AB3A491B6FCA391C71201B3A6486D497EB648
B512FEA337397DB83E>I<B612C0A3C6EBC0006D5AB3B3AD497EB612C0A31A397EB81E>I<
017FB512C0A39039003FF800EC0FF0B3B3A3121C127FA2EAFF80A25DEB001FA2007C5C00
78495A1238001E49C7FC380F81FC6CB45A000113E038007F80223B7CB82B>I<B60107B5
FCA300010180010013F06C90C8EA7F80053EC7FC5F17705F4C5A4C5A4CC8FC160E5E5E5E
5E4B5A4B5A4BC9FC150E5D153C157E15FE4A7E4A7FEC077F91380E3FC0021C7FEC381F4A
6C7E02E07FECC0074A6C7E02007F15016F7E83167F707E83161F707E831607831603707E
83828484486D4913F0B6011FEBFF80A339397DB841>I<B612E0A3000101C0C8FC6C90C9
FCB3AD1738A517781770A417F0A21601A216031607160FEE3FE04890388001FFB8FCA32D
397DB834>I<B56C92380FFFF8A300016D92381FFC006C60D9EFE0153BA3D9E7F01573A3
D9E3F815E3A2D9E1FCEC01C3A3D9E0FEEC0383A3027FEC0703A26E6C130EA36E6C131CA3
6E6C1338A26E6C1370A36E6C13E0A2913901FC01C0A3913900FE0380A392387F0700A2ED
3F8EA3ED1FDCA3ED0FF8A26F5A487E487ED80FFE6D48497EB500E00203B512F8A2ED01C0
45397DB84C>I<B591380FFFFE80A2C66D010013E06EEC3F80EF1F00D9EFF0140E8013E7
EBE3FC8013E1EBE0FF81147F81143F6E7E81140F6E7E8114036E7E8180ED7F8016C0153F
ED1FE016F0150FED07F816FC1503ED01FE16FF81EE7F8E17CE163FEE1FEE17FE160FA216
071603A216011600A2486C157E486C153EEA0FFEB500E0141E170EA237397DB83E>I<EC
03FF021F13E091B512FC903901FE01FE903A07F8007F80D90FE0EB1FC0D93F80EB07F049
C76C7E01FE6E7E0001824914004848157F0007178049153F000F17C049151F001F17E0A2
4848ED0FF0A3007F17F8491507A300FF17FCAC6C6CED0FF8A4003F17F06D151F001F17E0
A26D153F000F17C0000717806D157F6C6CEDFF0000015E6D14016C6C4A5A6D6C495A6D6C
495A6D6C495AD907F8EB7F80902703FE01FFC7FC0100B512FC021F13E0020390C8FC363D
7BBA41>I<B712C016F816FE000190398001FF806C90C7EA3FC0EE0FE0EE07F0EE03F817
FC17FE1601A217FFA717FEA2160317FC17F8EE07F0EE0FE0EE3FC0923801FF8091B5EAFE
0016F816C091C9FCB3A4487FB6FCA330397DB839>I<EC03FF021F13E091B512FC903901
FE01FE903A07F8007F80D90FE0EB1FC0D93FC0EB0FF049486D7E49C76C7E48486E7E4914
004848157F0007178049153F000F17C049151F001F17E0A24848ED0FF0A3007F17F8A249
1507A200FF17FCAC007F17F86D150FA3003F17F0A26C6CED1FE0A36C6C017CEB3FC00007
D901FE14806D486C137F000390260783801300D801FC903800C0FED9FE0E13E1D800FFEC
63FC017FEC73F8D93FCEEB7FF0D91FEE6D5AD907FFEB7F806DD981FFC7FC0100D9FFFC13
0C141F0203131C91C7121E181C161FEF803CEFC0F8EE0FFFA218F08218E0827013C07013
80EF7E00364B7BBA41>I<B612FEEDFFE016F8000190388007FE6C90C76C7EEE3FC0707E
707E707EA2707EA283A65FA24C5AA24C5A4C5A4C5AEEFF80DB07FEC8FC91B512F816E0A2
91380007F8ED01FC6F7E167F707E83161F83A683A560F00380EE0FF8A3486D0107EB0700
B6EB03FC933801FE0E933800FFFCCAEA3FF8EF07F0393B7DB83D>I<D90FF813C090383F
FE0190B512813901F80FE33907E001F7390F80007F90C7123F48141F003E140FA2481407
A200FC1403A415017EA27E6C91C7FC7F13E0EA3FF8EBFF806C13F86CEBFF806C14E06C14
F86C806C80013F7F01071480D9007F13C0020713E0EC007FED1FF0150F150716F8150312
6012E01501A47E16F0A26C14036C15E0A26CEC07C06CEC0F80D8FBC0EB1F00D8F9F0133E
D8F0FF13FC39E03FFFF8010F13E0D8C00190C7FC253D7CBA2E>I<003FB812E0A3D9E003
EB003F90260001FE1307007EEE03F0007C160100781600A300701770A400F01778481738
A4C71600B3B0913807FF80011FB612E0A335397DB83C>I<B690380FFFFEA30001018001
0013E06C90C8EA3F80EF1F00170EB3B27F5FA280013F5DA26D6C5C130F6E5C01074A5A6D
6C13036D6C495AD900FE011FC7FC91383F807C6EB45A020713E002001380373B7DB83E>
I<B500FC91B51280A30003018091381FF8006C90C8EA07E0606C705AA26D6C4AC7FCA280
013F150EA26E141E011F151CA26E143C010F1538A26D6C5CA28001035DA26E130101015D
A26E13036D5DA26E6C48C8FCA215C0023F130EA2EDE01E021F131CA2EDF03C020F1338A2
6E6C5AA215FC02035BA215FF6E5BA36E5BA26FC9FCA3153EA3151C393B7EB83E>I<B5D8
FE01B5D8FC01B512C0A300039026C0000790C7381FFC006C90C76C48EC07F06C735A0401
5E1A016D6C6E4A5AA36D6C4DC7FC4C7FA26E5F011F9126073FC0130EA26E171E010F020F
6D131CEE0E1FA26D6C011E6D5BEE1C0FA26D6C5F4C6C7EA26E17F001014A6C6C5BA36D6C
01F06D485AEEE001A2DA7F804B5A923981C000FFA203C1150791263FC380D97F87C8FCA2
03E3158FDA1FE715CE93C7123FA26EB415FC4B141FA202075E4B140FA36E486E5AA30201
5E4B1403A202005E4B1401523B7FB855>I<007FB590387FFFFCA3C601F8010F1380D97F
E0D903FCC7FC013FEC01F06D6C5C5F6D6C13036D6C495A94C8FC6D6C5B161E6D6C131C6D
EB803C5E91387FC07091383FE0F0EDE1E091381FF1C0EC0FF3EDFB806EB4C9FCA26E5A6E
7EA26E7F6F7E15FF825C913803DFF0ED8FF8140791380F07FC91380E03FE141E91381C01
FF4A7E02788002706D7E14F049486D7E4A6D7E130349486D7E91C76C7E5B011E6E7E1601
013E8101FF8200076D01077FB500F0013FEBFF80A339397EB83E>I<B500FE91387FFFE0
A3000101E091380FFE006C49EC07F0017F6F5A606D6C5D6D6C140795C7FC6D6C140E171E
6D6C141C6D6C143C17386D6C14785F6D6D5B91387FC0015F91383FE0035F91381FF0076E
6C48C8FC160E913807FC1E161C913803FE3C913801FF385E6E13F05E157F6F5AB3A24B7E
023FB512C0A33B397FB83E>I<003FB7FCA39039FC0001FE01E0130301805C90C7485A00
3E140F5E003C141F007C5D00784A5A157F5E007014FF93C7FC4A5A14035DC712075D4A5A
141F5D143F5D4A5A14FF92C8FC5B5C495A13075C130F4AEB0380495A133F5C137F5C49C7
FC4815075B12035B4848EC0F00120F495C121F495C484814FF007F140349131FB8FCA329
397BB833>I<48148039038001C00007130301001380000EEB070048130EA2485BA2485B
A3485BA400EFEB778039FF807FC001C013E001E013F0A2007F133FA2393FC01FE0391F80
0FC0390F0007801C1A76B92A>92 D<EB3FE0EBFFFC000313FF3907C03F80390F800FC048
6C6C7E01E07F6E7EA2380FC001D807807FEA0300C7FCA414FF130FEB7FF13801FF01EA07
F8EA0FF0EA1FE0EA3FC0EA7F80A2D8FF00141CA41403A2387F800714063A3FC01C7E383A
1FF0787FF83A0FFFF03FF0000301E013E03A007F000F8026277DA52A>97
D<EA03F812FFA3120F1203B0EC0FE0EC7FFC9038F9FFFE9039FBE03F809039FF800FC090
39FE0007E049EB03F0A249EB01F816FCA216FE1500A216FFA916FEA3150116FCA2ED03F8
6D14F0ED07E06DEB0FC09039E7801F809039E3E07F009038C1FFFE9038807FF8C7EA1FC0
283B7EB92E>I<EB03FC90381FFF80017F13E09038FE01F03901F800F83903F001FC3807
E003EA0FC0121F90388001F8003FEB00F01560007F140090C8FCA25AA97EA27FA2003F14
0E7F001F141C6C7E000714386C7ED801FC13F03900FF03E090387FFFC0011F1300EB07F8
1F277DA525>I<ED1FC0EC07FFA3EC007F151FB0EB07F8EB1FFE90387FFF9F9038FE07DF
3901F800FF4848137F4848133F4848131F121F485AA2127F90C7FCA35AA97EA27F123FA2
121F6C6C133F157F6C6C13FF3A03F001DFF03A01FC079FFF39007FFF1FEB3FFED907F013
C0283B7DB92E>I<EB07F8EB1FFF017F13809038FC0FC03901F003E03903E001F0000714
F8390FC000FC121F4913FE003F147EA248C7127FA35A90B6FCA390C8FCA57EA27F123F15
076C7E150E6C7E0007141C6C6C133CD801FC13783900FF01F090383FFFC06D1380903803
FC0020277EA525>I<147E903803FF80010F13C090381FC7E090383F07F0EB7E0F13FE13
FC0001EB07E09038F803C0000390C7FCADB512FCA3D803F8C7FCB3AB487EB512F8A31C3B
7FBA19>I<ED03E090390FF00FF090393FFC1FF890B5EA3C7C3A01F81FF0FC3A03E007C0
7C3A07C003E038000FECF000001F80EB8001003F80A7001F5CEBC003000F5C00075C6C6C
485A9038F81F800006B5C7FCEB3FFC380E0FF090C9FC121EA3121F6C7E90B512C015F86C
14FE6CECFF8016C04815E0391F80007F48C7EA0FF0007E140316F8481401A5007EEC03F0
A26CEC07E06C6CEB0FC0D80FE0EB3F803A07FC01FF000001B512FC6C6C13F0010790C7FC
26387EA52A>I<EA03F812FFA3120F1203B0EC07F0EC1FFCEC7FFF9138F07F809038F9C0
1FD9FB807F9038FF000F49805BA35BB3A4486C497EB500E1B51280A3293A7EB92E>I<EA
03C0487E487E487EA46C5A6C5A6C5AC8FCA9EA01F812FFA312071203B3AA487EB512E0A3
13387EB718>I<EB01E0EB03F0EB07F8EB0FFCA4EB07F8EB03F0EB01E090C7FCA9EB01FC
13FFA313071301B3B3A2123C127E00FF13F8130314F0A2387E07E0387C0FC0383FFF00EA
0FFEEA03F8164984B719>I<EA03F812FFA3120F1203B1913803FFFCA36E13C0913800FE
005D15F04A5A4A5A4A5A4AC7FC141E5C5C14FCEBF9FE13FBEBFF7F496C7EEBFC1F01F87F
6E7E6E7EA26E7E6E7EA26E7E157FA2ED3F8016C0486CEB7FF0B500E1B5FCA3283A7EB92C
>I<EA03F812FFA3120F1203B3B3AD487EB512E0A3133A7EB918>I<2703F807F8EB0FF000
FFD91FFEEB3FFCDA7FFFEBFFFE913AF03F81E07F3D0FF9C00FC3801F802603FB80D9E700
7F020013E601FED907FC6D7EA2495CA2495CB3A4486C496C497EB500E1B500C3B51280A3
41257EA446>I<3903F807F000FFEB1FFCEC7FFF9138F07F80390FF9C01F2603FB807F90
38FF000F49805BA35BB3A4486C497EB500E1B51280A329257EA42E>I<EB03FE90380FFF
80013F13E09038FE03F83901F800FC4848137E48487F4848EB1F80001F15C049130F003F
15E0A248C7EA07F0A44815F8A96C15F0A26D130F003F15E0A26C6CEB1FC0000F15806D13
3F6C6CEB7F006C6C13FE3900FE03F890387FFFF0011F13C0D903FEC7FC25277EA52A>I<
3903F80FE000FFEB7FFC9038F9FFFE9039FBE07F803A0FFF801FC03A03FE000FE049EB07
F0A249EB03F816FC150116FEA3ED00FFA916FE1501A316FC150316F86DEB07F0ED0FE06D
14C09039FF803F809039FBE07F009038F9FFFE9038F87FF8EC1FC091C8FCAB487EB512E0
A328357EA42E>I<903903F801C090381FFE03EB7FFF9038FE07873901FC01C73903F000
EF0007147F4848133F485A003F141F5B127FA390C7FC5AA96C7EA3123F7F001F143F6C7E
157F6C6C13FF3903F801DF3901FE0F9F39007FFF1FEB3FFCEB07F090C7FCABED3FE00207
B5FCA328357DA42C>I<3803F03F00FFEB7F809038F1FFE014C7390FF38FF03803F70F13
F69038FE07E09038FC03C0EC018091C7FCA25BB3A3487EB512F8A31C257EA421>I<EBFF
83000313E7000F13FFEA1F80383E003F487F00787FA200F87FA37E6C90C7FC6C7EEA7FF8
EBFF806C13E06C13F86C7F6C7F00017F6C7E01031380EB003F0060EB1FC000E0130FA26C
1307A37E15806C130F1500B4131EEBC07C38F3FFF800E15B38C07F801A277DA521>I<13
1CA5133CA3137CA213FC120112031207121FB6FCA3D801FCC7FCB2EC01C0A93900FE0380
A2017E13006D5AEB1FFE6D5AEB03F01A347FB220>I<D803F8EB0FE000FFEB03FFA3000F
EB003F0003140FB3A5151FA2153F1201156F6C6CEBEFF8903A7E03CFFF8090383FFF8F6D
130FD903FCEBE00029267EA42E>I<B538C07FFEA33A0FFC001FF0D803F8EB07C016807F
00011500A26D5B0000140EA2017F5BA2EC803C013F1338A26D6C5AA214E0010F5BA214F1
01075BA2903803FB80A214FF6D90C7FCA36D5AA2147CA3143827257EA32C>I<B53A8FFF
F07FFEA3260FF8009038800FF8000791397F0007E0EF03C000031780816DEC8007000102
7F1400A26D6E5A000002FF130E15EF6DECE01ED97F01141C15C70281EBF03CD93F831438
1583D91FC36D5AECC701A2D90FE76D5AECEE00A2D907FEEBFFC04A137FA201035D4A133F
A2010192C7FC4A7FA20100141E4A130E37257EA33C>I<B500C0B5FCA300039038007FF0
6C48EB3F806C6C013EC7FC6D133CEB3F806E5A011F5B6D6C5A14F1903807FBC06DB45A6D
90C8FCA26D5A147F818114FF497FECCFF0EB03C790380783F890380F03FCEB0E0190381E
00FE497F496D7E01F8133F000181D80FFC497EB548B51280A329247FA32C>I<B538C07F
FEA33A07FC001FF06C48EB07C016807F00011500A26C6C130EA26D131E6D131CA26D6C5A
A2ECC078011F1370A2ECE0F0010F5B14F0903807F1C0A214FB01035BA26DB4C7FCA36D5A
A2147CA31438A214781470A25CA21301007C5BEAFE035C130749C8FCEAFC1EEA783CEA3F
F86C5AEA0FC027357EA32C>I<003FB512FCA39038C007F8D83E0013F0003C130FEC1FE0
003814C00078EB3F80147F0070EBFF005C1301495A5CEA0007495A5C495A133F90387F80
0E14005B485A5B0003141E485A5B4848131C001F143C4848137C4913FC007F1303B6FCA3
1F247EA325>I<BD12C0A35203809753>124 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fi cmti10 10 54
/Fi 54 123 df<047FEB03F0923A03FFE007FC030F9038F01FFE923A1F80F83E0FDB3E01
EB7C3F037C1478DBF803EBF87FA20201D901F1133E923AF000E1F01C020302031300A44A
48495AA54A48495AA4010FB812C0A3903C001F80001F8000A34AC7FC4DC7FCA4147E177E
A54A5CA54948495AA54948495AA54948495AA44A5C010F140FA24A5CA2011F141F91C790
C8FC001CEB0380003E903807C03E387E1E0F26FE3E1F5B013C1478D8FC78EB81F03A7870
0F03E03A7FF007FFC0263FC00390C9FC390F8000FC404C82BA33>11
D<EE3FFC4BB51280030714C092390FC003E092391F0001F0033C1303037C13075D18E014
014BEB0380020391C7FCA34A5AA54A5AA4010FB612FE835F903A001F80007EA34AC75AA4
4C5AA2147EA24C5AA35C4C5AA44948495AEFC1C0A393381F8380495AA3EF8700A24948EB
0F8F178EEE07FC705A4AEB00F0010F92C7FCA25CA349CAFC121C123EEA7E1EEAFE3E133C
485A1278EA7FF0EA3FC0EA0F80344C82BA2F>I<EE7FE0923903FFFC3E4BEBFE7E92381F
C01F92383E003F4B14FC177F5D0201143EEF1DF84B13011403A2EF03F04A5AA3EF07E0A2
4A5AA2EF0FC0A2010FB7FCA21880903A001F80001FA34AC7EA3F00A4177E5C147EA25FA3
5C4C5AA44948495A1870A3933807E0E0495AA3EFE1C0A24948903803E380A2933801FF00
705A4A143C010F92C7FCA25CA349CAFC121C123EEA7E1EEAFE3E133C485A1278EA7FF0EA
3FC0EA0F80374C82BA31>I<EA01E0EA03F0EA07F8120FEA1FFCA4EA0FF8EA07B8EA0038
A21370A213E0A2EA01C012031380EA0700120E5A5A5A5A12400E1A6FB919>39
D<150C153C157815F0EC01C0EC03801407EC0F00141E5C5C5CA2495A495A13075C130F49
C7FC131E133E133C137CA25BA2485AA2485AA3485AA2120F5BA2121F90C8FCA35A123EA3
127E127CA512FC5AAF1278A47EA37EA2120E120F7E7F12036C7E12001E5274BD22>I<14
0C140EA2801580140315C0140115E0A2EC00F0A415F8A21578A4157CA715F8A7140115F0
A4140315E0A3140715C0A2140F1580A3EC1F00A25C143EA25CA25CA25C13015C1303495A
5C130F91C7FC131E133E133C5B5BA2485A485A485A48C8FC121E5A12705A5A1E527EBD22
>I<EA01E0EA03F0EA07F8120FEA1FFCA4EA0FF8EA07B8EA0038A21370A213E0A2EA01C0
12031380EA0700120E5A5A5A5A12400E1A7B8919>44 D<387FFFF8A3B512F0A215057994
1E>I<120FEA1F80EA3FC0127F12FFA3EA7F801300123C0A0A788919>I<EC03F8EC1FFEEC
7FFF9138FC1F80903901F007C0D903E013E0903807C003EB0F80D91F0013F01501133E01
7E1303137C13FCA2485AA2000314075BA2120716E049130F120FA34848EB1FC0A44848EB
3F80A448C7EA7F00A3157E15FE127E5D00FE13015DA248495AA25D007C13075D4A5A141F
007E49C7FC003E137E003F5B381F83F8380FFFE06C1380C648C8FC243A77B72A>48
D<151015381570A215F01401EC03E0140F141F147F903803FFC0EB1FEFEB3F8FEB1C0F90
38001F80A4EC3F00A4147EA45CA4495AA4495AA4495AA4495AA4495AA449C7FCA25B007F
B5FCB6128015001D3877B72A>I<EC03F8EC0FFEEC3FFF91387C0F809138F007C0903901
C003E09039038001F0EB0700010E14F8131EEB1C30D9387813FC14381370A213E0A33A01
C07003F8A214E0ED07F0EBC1C016E09038C7800F9039FF001FC06C4814800178EB3F0090
C7127E5D4A5A4A5AEC07C04A5A023EC7FC5CEB01F0EB07C0495A011EC8FC5B017014C049
1301485A485A48C7EA0380A2000E1407481500D81FE05BD83FFC131E9038FFC07E39787F
FFFCD8700F5BD8F0075BD8E0015B6D5B48011FC7FC263A79B72A>I<EC01FCEC0FFE9138
3FFF8091387E07C0ECF803D901F013E0D903E013F0903807C001130FEB1F80013F14F8EB
7F0015035B5B1201A21507485AA216F0A249130F1207A2151F16E049133F1203157F16C0
000114FF6D5A0000903803BF809038FC077FEB7FFED93FFC130090380FF0FF90C75AA24A
5AA25D14035D4A5A121E003F495A48495A92C7FC00FE133E485B00705BEB03F0383C0FE0
383FFF80D80FFEC8FCEA03F8253A78B72A>57 D<131E137F5B481380A314005B6C5A1378
90C7FCB0120F487E487E127F12FFA36C5A90C7FC123C112478A319>I<EE01C01603A216
07160FA2161F83163FA2167F16FF16EF150116CFED038FA2ED070FA2150E151E151C1538
A203707FA2EDE007A2EC01C014031580EC0700A2140EA25CA25C027FB5FCA291B6FC9139
E00007F849481303A2495A130791C7FC5B130E5BA25BA25B13F01201D807F84A7EB56C48
B512F0A2020015E0343C7BBB3E>65 D<DB03FE130492391FFF800C92B5EAE01C913A03FE
01F03C913A0FF000787CDA1FC0EB1CF8DA7F80130D02FEC7120F49481407494815F0495A
49481403495A494815E0137F49C8FC5B000117C0485AA2485A1880120F5B001F93C7FCA2
485AA3485AA45B12FFA4173890C9FCA25FA25F7E6D4A5AA2003F4B5AA24CC7FC6C6C140E
5E6C6C5C00075D6C6C5C6C6CEB03C0D800FEEB0F8090267FC07EC8FC90381FFFFC010713
F0010090C9FC363D74BA3B>67 D<0103B612FC49EDFF8018E0903B000FF0001FF04BEB07
F8EF01FC717E4A48147FA2F03F80A24A48EC1FC0A44AC813E0A414FEA44948153FA44948
16C0187FA34948168018FFA2190049485C60A24D5A495A4D5A60170F49485D4D5A4D5A4D
C7FC49C85A4C5AEE03F84C5A01FEEC1FE0EE7F800001DA03FFC8FCB712FC16E093C9FC3B
397BB83F>I<0103B8FC5B7F903A000FF000034BEB007F183E181E4A5AA44A5A181CA34A
C8FCEE0380A2181802FE49C7FCA35E4948130E161E167E91B512FE495CA2ECF800167C49
481338A4494849136018E0A293386001C049481300EF0380A34948EC0700A2170E171E49
C8FC5F177C5F01FE140116070001ED7FF0B8FC5FA238397BB838>I<0103B712FE5B7F90
3A000FF000074B1300187C183C4A5AA44A5A1838A34AC8FCA21603EF803002FE49C7FCA3
5E4948130E161EA216FE49B55AA3ECF80049481378A449481370A44948136093C8FCA349
5AA449CAFCA413FEA2487EB6FCA25C37397BB836>I<DB03FE130492391FFF800C92B5EA
E01C913A03FE01F03C913A0FF000787CDA1FC0EB1CF8DA7F80130D02FEC7120F49481407
494815F0495A49481403495A494815E0137F49C8FC5B000117C0485AA2485A1880120F5B
001F93C7FCA2485AA3485AA45B12FF0303B512C04B14E06F14C092390003F800A290C8FC
4C5AA37E6D4A5AA2123FA24C5A6C7EA26C6C143F6C6C4A5A000315EFD801FCEB01CF6C6C
EB078790277FC03F03C7FC90391FFFFC01010701F0C8FC01001380363D74BA40>I<0103
B512F8A216F090390007F8005DA34A5AA44A5AA44A5AA44AC7FCA414FEA4495AA4495AA4
495AA4495AA4495AA4495AA449C8FCA25B007F13FEB5FC7E25397CB820>73
D<0207B512E017F017E091390003FC005EA34B5AA44B5AA44B5AA44B5AA44BC7FCA415FE
A44A5AA44A5AA44A5AA44A5A121E123F5A48495AA248495A4891C8FC00E05B6C13FE0070
5B387803F8383E0FF0381FFFC06C90C9FCEA01F82C3B78B82C>I<902603FFF8923807FF
E0494D13F06D4D13E0D9000FEFF0004F5AA21977021D4C5AA2DA1CFCEC01CFA202384B48
5AF0071FA2180E02704CC7FC181CA2183802E0ED707EA2037E14E0A2D901C04A485AEF03
80A2EF0700D903804B5A170EA2171CD907004A485AA26F1370A2010E4B485AEE01C0A2EE
0380494C5AEE0700A2160E494A495AA2ED1FB8A24902F049C8FC5EA201F05C187E00015D
D807F816FEB500C09039007FFFFC151EDA800E5D4C397AB84A>77
D<902603FFF091B51280494B14C06F1680D9000F9139000FF000F007C06F5DA2021D93C7
FCEC1CFEA2814A6C140EA26F7EA202705D6F7EA282DAE00F5CA26F7EA2D901C05D6F7EA3
49486C6C5BA282150049C7495A167FA3010E91383F8380A217C3161F4903C7C8FCEE0FE7
A349EC07FEA31603495DA2160113F0705A1201EA07F8B500C014781770173042397BB83E
>I<ED03FE92383FFFC092B512F0913903FC07F891390FE001FC91393F8000FE4AC7127F
02FEEC3F80D901F8EC1FC0EB07F04948EC0FE0131F4A15F04948140749C8FC4916F8485A
A2485AA2485AA2120F5B001F160F5B123FA34848ED1FF0A44848ED3FE0A3EF7FC0A21880
17FF18005E5F16035F007F4B5A4C5AA24C5A003F4B5A6D4A5A001F4BC7FC6D495A000F4A
5A6C6CEB07F06C6C495A6C6CEB3F802700FF81FFC8FC90383FFFFC6D13E0010190C9FC35
3D74BA40>I<0103B612F84915FF6D1680903B000FF0007FE04BEB0FF0EF07F817034A48
14FCA318FE4A5AA44AC7EA07FCA318F802FE140F18F0EF1FE0A24948EC3FC0EF7F80EFFF
00EE03FC4948EB1FF891B612E0178004F8C7FCD907F0C9FCA4495AA4495AA4495AA449CA
FCA413FEA21201B512FCA25C37397BB838>I<92383FC004913901FFF00C0207EBF81C91
390FC07E3C91393E001E7C4AEB07F84A1303495A4A1301494814F013075C130F91C713E0
5BA34915C0A36E90C7FCA2806D7E14FCECFF806D13F06D13FE6D6D7E6D806D80023F7F02
077FEC007FED0FFC150315011500A3167C1206120EA3001E5DA34B5A003E5D15035E003F
4A5A48140F6D49C7FC6D133ED879F05B39F0FC03F039E07FFFE0011F138026C003FCC8FC
2E3D7ABA2F>83 D<0003B812E05AA2260FF800EB001F01C049EB07C090C71403121E4A5A
121C003C178012384A5A12781270EF07004A5A5AA2481606C7484890C7FCA44A5AA44A5A
A44AC9FCA414FEA4495AA4495AA4495AA4495AA2EB3FF0007FB512F8A3333971B83B>I<
001FB5903807FFFC486E4813FE030014FC26007F809038007F8091C8EA3E00173CA201FE
1538A448485DA448485DA448484A5AA448484A5AA448484AC7FCA44848140EA448C85AA4
00FE5DA35EA25EA24B5A007E4A5AA24BC8FC003E140E003F5C6C5C6C6C13F03907C003E0
3903F01F806CB5C9FC38007FFCEB1FE0373B70B83E>I<277FFFF007B590381FFFE0B549
5D6C84D803FEC7D83FE0903803FE0001F80380EB00F86262A24F5A1903621907047F92C7
FC190E16FF4B5DA2DB03BF5C7F0001DA073F5CA2030E5D83DB1C1F495A180303385D4EC8
FC157003F0140E15E0DA01C05CA2DA03805CA2DA07005CA2020E5D17C14A5DEFC3805C02
7802C7C9FC14704A14CE13FE6C6C4814DCA24A14F8A291C75B160F495D5F5B5F5B4992CA
FCA249140E4B3B6FB853>87 D<14F8EB07FE90380FFF1C90383F07BE90387C03FEEBF801
EA01F000035CEBE0001207485A4A5AEA1F80123FA249485A5AA300FE495AA448495AEDC1
C0A391381F8380A2143F127C91387F8700007E13FF393E03CF8E381F0F8F390FFF07FC39
07FC03F83901F000F0222677A42A>97 D<133FEA0FFF5A7EEA007EA45BA4485AA4485AA4
485A14F8EBE3FEEBEFFF390FDF0F809038FC07C001F013E0EBE003EA1FC015F01380A2EA
3F00A4007E1307A448EB0FE0A315C048131FA21580EC3F00A2147E147C14FC007C5B495A
383C03E0381E0FC06CB4C7FC6C5AEA01F01C3B77B926>I<147F903803FFC04913E09038
1FC1F090383F0078017C13384913F83801F00100031303EA07E0D80FC013F0EC01E04848
C7FCA2123F90C8FC5AA312FEA55AA315101538007C147015F0007EEB01E0003EEB07C06C
EB1F00380F80FE3807FFF86C13E0C690C7FC1D2677A426>I<ED01F8157F15FF157FED03
F0A4ED07E0A4ED0FC0A4ED1F80A4ED3F0014F8EB07FEEB0FFF90383F07FEEB7C03EBF801
EA01F000035CEBE0001207485A4A5AEA1F80123FA249485A5AA300FE495AA448495AEDC1
C0A391381F8380A2143F127C91387F8700007E13FF393E03CF8E381F0F8F390FFF07FC39
07FC03F83901F000F0253B77B92A>I<147F903803FFC0010F13E090381F81F0EB7E0049
1378485A485A485AA2485A001F14F090388001E0003FEB07C0EC3F8048B5120014FC14E0
90C8FC12FEA65AA2007C14101538007E147015F0003EEB01E06CEB07C0EC1F00380F80FE
3807FFF86C13E0C690C7FC1D2677A426>I<ED07C0ED0FF0ED1FF8ED3C3CED78FC15F8EC
01F915F1EDF0F80203137016005D1407A44A5AA54A5AA2010FB5128016C016809039001F
80004AC7FCA5147EA55CA5495AA5495AA5495AA45C130FA35C131FA391C8FCA2EA1C3E12
3E127EEAFE3C5B12FCEA78F0EA7FE06C5AEA0F80264C82BA19>I<EC07C0EC3FF091387F
F8E0903901F83DF0903803E01F903807C00FEB0F80011F14E090383F0007A2137E01FEEB
0FC05B1201A249EB1F801203A34848EB3F00A449137EA45DA20003130114036C6C485A14
0F3800F83DEB7FF96D485AEB0FC3EB0003A24A5AA44A5A121C003E495A127E00FE49C7FC
147E485B387803F8383FFFE06C1380D803FEC8FC24367CA426>I<EB03F013FF5A7EEB07
E0A4495AA4495AA449C8FCA4137EEC07F0EC1FFCEC7FFE9038FCF83F9039FDE01F80EBFF
80EC000F485A16C05B49EB1F8012035BA34848EB3F00A3157E485AA35D485A913801F81C
A33A3F0003F038A3EDE070127E16E0A2EDE3C048903801FF80007C6D13000038143C263B
7BB92A>I<EB01C0EB03E0EB07F0A214E014C0EB038090C7FCAB13F0EA03FC487EEA0F1F
121CA21238A2485AA3EAE07EA25B1200A2485AA3485AA3485AA214E0EA0FC0A2381F81C0
A3EB0380A2EB0700A2131EEA0FFC6C5AEA01E0143879B619>I<EB03F013FF5A7EEB07E0
A4495AA4495AA449C8FCA4137EED0F80ED3FC0ED7FE09038FC01F0913803C1F0EC0703EC
0E073A01F80C0FE0141891383007C09138700380484848C7FCEBF1C0EBF38001FFC8FC48
5A6D7E14E014F8380FC3FCEBC0FE143FA248486C7EED81C0A33A3F003F0380A3ED070012
7EA2EC1F0E5D48EB0FFC007C6D5A0038EB01E0243B7BB926>107
D<EB0FC0EA03FF5A7E38001F80A4EB3F00A4137EA45BA4485AA4485AA4485AA4485AA448
5AA448C7FCA4127E130EA3485AA45BA2EA7C70A2EA3FE06C5A6C5A123B79B915>I<D801
E001FEEB07F03C07F803FF801FFC260FFC0F9038C07FFE3C1E3E1F07E0F83F001C903B3C
03F1E01F8026383F70EBF380913AE001F7000F02C013FE007018C002805B4A4848EB1F80
485A017E5CA21200494948EB3F00A3187E4848495AA3604848495A943801F81CA3484890
3A3F0003F038A3F0E0704848137E19E0A2F0E1C0484849903801FF80000F027C6D13006C
C70038143C3E2679A444>I<D801E013FE3A07F803FF80260FFC0F7F3A1E3E1F07E0001C
90383C03F038383F70ECE00114C000708114804A485A485A137EA2120049495AA34B5A48
5AA34B5A485A92383F0380A3484890387E0700A3ED7C0E485A5EA25E4848EB3FF0000F6E
5A6CC7EA0780292679A42F>I<147F903803FFC04913E090381FC1F090383E00F849137C
49137E4848133E12034848133F485AA2485AA2003F147F90C7FC5AA300FE14FEA315FC14
014814F8A2EC03F0A2EC07E0007CEB0FC01580007EEB1F00003E133E6C5B380F83F83807
FFE06C5BC648C7FC202677A42A>I<9039078007C090390FE01FF090391FF07FF8903938
F8F87C9138F9E03E903970FF803F4B7E495A17805CA23801C1F8A3EA00014948133FA449
48EB7F00A3167E494813FEA25E4B5AEB1F804B5A5EECC007013F5C4B5A6E48C7FCECF07E
90387E7FF86E5AEC0F8091C9FC5BA4485AA4485AA3387FFFC0B5FC6C5B293580A42A>I<
ECF803903807FE0790380FFF0F90383F079E90387C03BE9038F801FEEA01F0000314FCEB
E0001207485AEC01F8EA1F80123FA290380003F05AA300FEEB07E0A448EB0FC0A4EC1F80
A2143F127CEC7F00007E5BEA3E03381F0FBF380FFF7EEA07FCEA01F0C7FC5CA4495AA449
5AA2130748B512C0A21580203577A426>I<3903C003F03907F00FFC390FF83FFE391C7C
7C1FECF00F3A387FC01F80153F00709038807F001400153E017E131C484890C7FCA31200
485AA4485AA4485AA4485AA4485AA448C9FC7E120E212679A423>I<14FE903807FF8049
13C090381F03E090383C00F049137001F813F0EBF00100011303A215E00003EB01C06DC7
FC7F3801FFC014F8806C7F6D7E6D1380130F010013C0141F140FA2123C127E00FE1480A2
481400485B00E0131E00705B0078137C383E03F06CB45A6C5BD801FEC7FC1C267AA422>
I<1307EB0F80131FA4EB3F00A4137EA45BA2B512FC14FE14FC3801F800A3485AA4485AA4
485AA4485AA448C7FC1438A21470127E14E0A2EB01C0A2EB0380383E0700131EEA1FFC6C
5AEA03E0173578B31C>I<13F8D801FEEB01C0486CEB03E039070F8007120E121C1238ED
0FC0EA301F1270A23AE03F001F80A3EA007EED3F005BA34848137EA448485B160EA39138
01F81CA31638140300011307020E13702600F83C13F090397FF87FE090393FF03FC09039
0FC00F00272679A42D>I<01F0130ED803FC131F486C5BD80F1FEB7F80121C153F003814
1FA24848130FA21600D8E07E7FA3C6485B150E485AA348485BA35D485AA25DA2156015E0
5D14014A5A000349C7FC6D5A3801F81E3800FFFCEB3FF0EB0FC0212679A426>I<01F015
07D803FC903903800F80486C903807C01FD80E1F010FEB3FC0121C171F0038160FED1F80
48481507A21880D8E07E90383F0003A3C6481507037E1400485AA3484849130EA4484848
485BA35FA25FA202035C1203D9F007495A000190390EFC03803A00FC1E7E0F90277FFC3F
FFC7FC90393FF00FFC90390FE003F0322679A437>I<13F0D803FCEB01C0486CEB03E0D8
0F1F1307121CA21238ED0FC0485AA3D8E07EEB1F80A3C65AED3F00485AA34848137EA448
485BA44A5AA314035D00031307EBF00F3801F83F6CB55AEB7FF7EB1FC7EB00074A5AA25D
001E131F003F91C7FC485B147E007E137C007C5B387001F0387803E0383C0FC0D81FFFC8
FC6C5AEA03F0233679A428>121 D<903903C00380EB0FF090391FF80700133F90387FFC
0EECFF1C9038F83FF8EBE00F3901C001F06E5A49485AC7485A4AC7FC140E5CA25C5C495A
495A49C8FC130E5BA249131C5B49133C4848133848481378D807E01370390FFC01F09038
FF07E0391E3FFFC0EA3C0F486C5B007091C7FC38E003FCEB00F021267BA422>I
E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fj cmbx10 10.95 47
/Fj 47 122 df<EA07C0EA1FF0EA3FF8EA7FFCA2EAFFFEA5EA7FFCA2EA3FF8EA1FF0EA07
C00F0F798E1D>46 D<140F5C147F495A130F48B5FCB6FCA313F7EAFE071200B3B3A8003F
B612F8A5253C79BB34>49 D<903803FF80013F13F090B512FE00036E7E4881260FF80F7F
261FC0017F003F6D7FD87FF06D7E6D6D7EA2486C6D7EA36F1380A26C5AA26C5A6C5A0003
C7FCC8481300A35E153F5E4B5AA24B5A4A5B5E4A90C7FC4A5A4A5A4A5A15E04A5A4A5A91
39FE000F80495A495A4948EB1F00495AEB1F8049C7FC017E5C5B48B7FC485D5A5A5A5A5A
A2B75AA4293C7BBB34>I<ECFFC0010F13FC013F13FF4914C02601FF0113F03A03F8007F
F8496D7E1207D80FFC806D131F486C80A66C4A5A5B6C5AD801F85CC8485AA24B5A4A5B4A
5B020F90C7FC903807FFFC15F015FE6F7ED9000113E09138007FF86F7E826F7E17808117
C0A2EA07C0D81FF015E0487E487EA2487EA317C0A25B007F4A13805B6C48150001C0495A
D81FF0495A3A0FFE01FFF86CB65A000115C06C6C91C7FC011F13FC010113C02B3D7CBB34
>I<ED01F815031507A2150F151F153FA2157F15FF5C5CA25C5CEC1FBFEC3F3F143E147C
14FCEB01F814F0EB03E01307EB0FC0EB1F801400133E137E5B485A5B485A1207485A5B48
C7FC5A127E5AB812F8A5C8387FF800AA49B612F8A52D3C7DBB34>I<000E1538D80FC0EB
01F801FC131F90B6FC5E5E5E5E93C7FC5D5D15F015C092C8FC14F801C0C9FCA8ECFFC001
C713F801DF13FE90B67E02017F9039F8007FF001E08049133F498090C76C7EC8FC82A317
80A21207EA1FC0487E487E487EA31700A25B007F5D49133F01805C6CC7485A7F3A1FE001
FFF0260FF8075B6CB612806C92C7FCC614FC013F13E0D907FEC8FC293D7BBB34>I<EC03
FE91383FFFC091B57E010314F890390FFE01FC90381FF800D97FE07F9038FFC003484948
7E1400485C485AA2485A001F6E5AA26F5A003FEC00F04991C7FC127FA3EC1FFCEC7FFFD8
FFF9B512C016F09039FBC01FF89039FF800FFC4A6C7E4980A26F13805B17C0A25B17E0A3
127FA5123FA217C0121F7F1780120F00074A13007F6C6C495A6C6D485A6C9038E07FF86D
B55A6D14C0010F5C010349C7FC9038007FE02B3D7CBB34>I<16FC4B7EA24B7EA34B7FA2
4B7FA34B7FA24B7FA34B7FA292B57E15FD15FC020180EDF87F02038015F0820207814B7E
020F8115C082021F814B7E023F811500824A81027E7F02FE815C8201018291B7FC4982A3
498302E0C7121F010F835C83011F834A80013F8391C8FC834983017E81B500FE49B612FC
A5463F7CBE4F>65 D<B812F8EFFF8018F018FC8426003FFEC7EA3FFF7113807113C07113
E08319F0A27113F8A719F05FA24D13E019C04D13804D1300EF7FFE4C485A91B712F01880
18F818FE4AC7380FFF807113C07113E07113F07113F819FC187F19FEA219FFA38460A419
FEA218FF19FC4D13F85F4D13F0053F13E0BA12C0190018FC18F095C7FC403E7DBD4A>I<
922607FF80130E92B500F8133E020702FE137E021F9138FF80FE027F15E149B538801FFB
01079039F80003FF4901C07F013F90C8127F4948153F4948151F4849150F4A1507484915
03485B1801485B481700A291CAFC5A197E5A5BA2190012FFAC127FA26D173EA27EA27E80
197C7E6C7F19F86C6D15016C6D16F06E15036C6DED07E06D6CED0FC06D6CED3F80010F01
C0EC7F006D01F8EB01FE01019039FF801FFC6D6C90B512F0021F15C0020792C7FC020014
FC030713C03F407ABE4C>I<B812F8EFFF8018F018FC18FF26003FFEC76C13C0050F7F05
037F05007F727E727E727E721380841AC0841AE0A21AF084A21AF8A41AFCA484A560A41A
F8A41AF0A2601AE0A24E13C0A24E13804E1300A2F07FFE4E5A4D5B050F13E0057F5BBA5A
4EC7FC18F818C005F8C8FC463E7DBD50>I<BAFCA41980D8003F90C7123F17071701EF00
7F183FA2181FF00FC0A31807EE07C0A3F003E0A3160F95C7FC161F163F16FF92B5FCA515
00163F161F040F147CA2160719F8A593C71201A219F01803A21807A2180FF01FE0183F18
FF1703171FBAFCA219C0A33E3D7DBC45>I<B912FEA484D8003F90C77E170F1703170084
A284F01F80A3180FA2EE07C0A2F007C0A4040F90C7FCA2161F163F16FF92B5FCA5150016
3F161F160FA21607A693C9FCACB712F0A53A3D7DBC42>I<922607FF80130E92B500F813
3E020702FE137E021F9138FF80FE027F15E149B538801FFB01079039F80003FF4901C07F
013F90C8127F4948153F4948151F4849150F4A150748491503485B1801485B481700A291
CAFC5A197E5A5BA296C7FC12FFAB040FB612FC127FA27FA26C92C7387FFE00A27E80A27E
6C7FA26C7F6C7F806C7F6D7E6D6C6C14FF010F6D5B6D01F85B01019038FF801F6D6C90B5
12F3021F15C00207ED003E020002FC130E030701C090C7FC46407ABE52>I<B7D8C07FB6
12E0A5D8003F90C8001FEB8000B3A492B8FCA592C8121FB3A7B7D8C07FB612E0A54B3E7D
BD52>I<B712C0A5D8003F90C7FCB3B3B0B712C0A5223E7DBD28>I<B700C090B6FCA5D800
3F90C8D801FCC7FC4E5AF00FF04E5AF03F804EC8FC18FE4D5AEF07F84D5AEF1FC04D5A4D
C9FC17FE4C5AEE07F84C5AEE1FC04C5A4C7E16FF03037F4B7F4B7F5D4B7F4B7F03FE7F4B
7E4B6C7F03E0804B6C7F4B7E4B6C7F8482707F707F8483717F717F8583717F717F858371
7F727E8684B7D8C00FB612C0A54A3E7DBD52>75 D<B712F0A5D8003F90C9FCB3AD183EA4
187E187CA418FCA21701A2EF03F8A21707170F171F177F17FF1607B9FC18F0A4373E7DBD
3F>I<B66C040FB512F06F5EA26F5EA2D8003FF2C0006F167BA26E6C16F3A26E6CED01E3
A26E6CED03C3A36E6CED0783A26E6DEC0F03A26E6D141EA26E6D143CA36E6D1478A26F6C
14F0A26F6CEB01E0A26F6CEB03C0A36F6CEB0780A26F9038800F00A26FEBC01EA26F6D5A
A36F6D5AA2706C5AA293383FFDE0A270B45AA3705BA27090C7FCA2705AA2B626C001FC01
0FB612F0A3705A17705C3E7DBD63>I<B66C027FB512E081A28181D8003F6D9139001F80
008181A2816E7F6E7F6E7F6E7FA26E7F6E7F6E7F6E7F6F7FA26F7F6F7F6F7F6F7F6F7FA2
6F7F6F7F7013807013C07013E0A27013F07013F87013FC7013FE7013FFA271139F7113DF
7113FF8383A28383838484A28484848484A2B600C080197F193F191FA24B3E7DBD52>I<
ED3FFF0203B512F0021F14FE027F6E7E902701FFF80713E00107D9C00013F84990C7EA3F
FCD93FFE6EB4FCD97FF802077F49486E7F48844A8048496E7F48844A157F4884488491C9
123FA24884A34848701380A400FF19C0AD007F1980A26D5EA26C1900A26E5D6C60A26C6D
4B5AA26C6D4A5B6C606E5C6C6D4A5B6C6D4A5B6D6C4A5B6D6C4A90C7FC6D01C0EBFFFE01
07D9F80713F8010190B612E06D5E021F4AC8FC020314F0DA003F90C9FC42407ABE4F>I<
B812F017FF18C018F018FC28003FFE00017F9338003FFF7113807113C07113E0A27113F0
A319F8A819F0A34D13E019C05F4D13804D13004CB45A91B712F860188005FCC7FC92CAFC
B3A4B712C0A53D3E7DBD47>I<B87E17FCEFFF8018F08428003FFE000113FE9338003FFF
717F717F717FA2717FA285A761A34D5B614D5B4D90C8FCEF7FFE933803FFFC91B712F018
C04DC9FC717E9126FE00077F7013F0707F82717E84173FA284A685A5F207C019C083A271
9038E00F80B70080ECF01F719038F83F007190B5FC05005C061F13F8CB000113E04A3F7D
BD4E>82 D<903A01FF8001C0011FEBF807017FEBFE0F90B6129F000315FF48EB007FD80F
FC130FD81FF01303497F003FEC007F5B007F153F161FA200FF150FA36D1407A27F7F01FE
91C7FCEBFFE06C13FEECFFF06C14FF16C06C15F0826C816C816C816C16806C16C0133F01
0F15E01301D9001F14F01400150F030113F881167F0078153F12F8A2161FA36C16F0A27E
17E06C153F6D15C06D147F01F0ECFF8001FE4913009038FFE00791B512FCD8FE3F5CD8FC
0F14E0D8F803148027E0001FFCC7FC2D407ABE3A>I<003FB912FCA5903BFE007FFE007F
D87FF0EE0FFE01C0160349160190C71500007E187EA3007C183EA400FC183F48181FA5C8
1600B3AF011FB712F8A5403D7CBC49>I<B7D8C001B61280A5D8003F90C9007EC7FCB3B3
A56D5FA2816D4C5AA26D4C5A6D7F6F4A5A6D6D141F6D6D4A5A6E6CECFF8091271FFFC00F
90C8FC6E90B512FC02035D020015E0031F91C9FC030013F0493F7DBD50>I<B6D8FE07B6
00F090B512FEA5C649C7000301F0C8EA7E00017F1B7C6E827117FC6D636F6F14016D6F5F
856F027F15036D636F91B5FC6D505A866F49160F6D634D806F02EF151F6D98C7FC6F0107
6E5B6D04C7153E866FD90F83157E027F197C6F011F80060115FC6E61DC803FECFC016EDA
3E005D057E14FEDCC07C017F13036E61DCE0FC14FF6E4A6D495A1B8704F1168F6E4A6D5C
04F316CFDCFBE06D13DF6E96C8FC04FF16FF6E4A6D5BA24D7F6F5FA294C77E6F5FA26F48
6E5BA24C157F030F5FA26F486F5AA36F486F5A4C150F673F7EBD6C>87
D<007FB6D8807FB512F0A5D8001F01E0C76CC7FC6D5E6F495A6D6D5C6D6D495A17076D6D
495A6D6D5C6E4A5AEE803F6E01C05B6E4AC8FCEEE0FE6E13F16EEBF9FCEEFBF86E13FF6E
5C6E5C5F816F5B836F7F6F7FA26F7F835D834B7F5D4B80043F7FDBFE1F7F14014A486C7F
4B6C7F4A487E020F814B6C7F4A487E4A4880027F6E7F92C76C7F14FE01016F7F49486E7F
4A80494882010F6F7F494880B600E090B7FCA5483E7DBD4F>I<B7021FB512C0A5C66C01
809139003F80006D6D4BC7FC6F15FE7F6D6D4A5A6F4A5A7F6D6D4A5A6F4A5A7F6D6D4A5A
70495A806E6D49C8FC7013FE806E6D485A4D5A6E13F86E6D485A4D5A6EEBFE1F6E01FF5B
4D5A6F13FF6F91C9FC5F816F5B5F816F5B5FB3A2020FB612F8A54A3E7EBD4F>I<903803
FF80013F13F890B512FE00036E7E2607FC017F48486C6C7E6D6D7E001F816D131F82150F
826C5AA26C5AEA01E0C8FC153FEC7FFF0107B5FC133F9038FFFC0F000313E0000F130048
5A485A5B485AA2485AA4151FA26C6C133F6DEB7BFF6C6C01F313FE391FFE03F16CB512E1
0003EC807FC69038FE001FD90FF890C7FC2F2B7DA933>97 D<13FFB5FCA512077EAFED7F
E0913807FFFC021F13FF027F14C04AC67F02FCEB3FF802F06D7E4A6D7E4A13074A6D7EA2
1880A27013C0A318E0AA18C0A34C1380A218005E6E5C6E495A6E495A6E495A903AFCFF01
FFE0D9F83FB51280496C91C7FCD9E00713F8C813C033407DBE3A>I<EC7FF0903803FFFE
011FEBFF804914E09039FFE01FF0489038800FF848EB001F484814FC4848133F121F5B12
3FED1FF8A24848EB0FF0ED03C092C7FC12FFAA127FA27F123F163E6C7EA26C6C147C0007
15FC9039FF8001F800019038C003F06C9038F00FE06DB512C0011F1400010713FC903800
7FE0272B7DA92E>I<EE07F8ED07FFA5ED003F161FAFEC7FE0903803FFFC011F13FF017F
14DF9039FFF00FFF48EB800348497E4848EB007F4848143F121F5B123FA2485AA312FFAA
127FA36C7EA2121F167F6C7E6C6C14FF6D01037F6C6D48EBFFE0C6EBE03F6DB512BF011F
EBFE3F010713F89026007FC0EBE00033407DBE3A>I<EC7FE0903807FFFC011F13FF017F
14C09039FFE07FE0489038801FF04848486C7E00076E7E484813034848801501003F81A2
48487FA21780A212FF90B7FCA401F0C9FCA4127FA37F123FEE0F80121F6C7E6DEC1F006C
6C5C6C6D137E6C6D485A6C9038F807F8013FB55A010F14C0010391C7FC9038003FF0292B
7DA930>I<EC07FCEC7FFF49B512C0010714E090390FFC3FF0EB1FF090393FE07FF8EB7F
C0148013FFA2489038003FF0ED1FE0ED0FC092C7FCAAB612E0A500010180C7FCB3AC007F
EBFF80A525407DBF20>I<EA01F0EA07FC487E487EA2481380A56C1300A26C5A6C5AEA01
F0C8FCA813FFB5FCA512077EB3ABB512F8A515407CBF1D>105 D<13FFB5FCA512077EB0
92380FFFFEA5DB01FEC7FC4B5AED07F0ED1FE04B5A4B5A03FEC8FC4A5AEC07F84A5A141F
4A7E14FF8181ECF7FF02E77F14C302817F02007F6F7E82153F6F7E6F7E6F7E83816F7F6F
7FB5D8FC07EBFFC0A5323F7DBE37>107 D<13FFB5FCA512077EB3B3AFB512FCA5163F7C
BE1D>I<01FFEB1FF0B5EBFFFE02036D7E4A80DA0FC07F91381F007F0007013C806C4913
3F5C4A80A25CA25CB3A5B5D8FE0FB512E0A533297CA83A>110 D<EC7FF0903803FFFE01
1FEBFFC0017F14F09039FFE03FF8489038800FFC3A03FE0003FE48486D7E000F16804848
6D13C0A2003F16E049147F007F16F0A400FF16F8AA007F16F0A46C6CECFFE0A2001F16C0
6C6C491380A26C6C4913003A03FF800FFE6C9038E03FFC6C6CB512F0011F14C0010791C7
FC9038007FF02D2B7DA934>I<01FFEB7FE0B53807FFFC021F13FF027F14C0DAFF017F91
39FC007FF8000701F06D7E6C496D7E4A130F4A6D7EA2701380A218C0A28218E0AA18C05E
A218805E1800A26E495A6E495A6E495A6E495A9139FF01FFE002BFB51280029F91C7FC02
8713F8028013C092C9FCACB512FEA5333B7DA83A>I<3901FE01FC00FFEB0FFF4A13C04A
13E091387E3FF0147800079038F07FF8000313E013FF14C0ED3FF01480ED1FE0ED078092
C7FC91C8FCB3A3B6FCA525297DA82B>114 D<90381FFC0E90B5123E000314FE120F381F
E007383F800190C7FC007E147E153E12FEA27EA201C090C7FC13F8EBFFE06C13FE6E7E6C
14E06C14F86C806C800001806C7E010F1480EB007F020313C014000078147F00F8143F15
1F7EA26C1580A26C143F6D14006D137E9038F803FE90B512F8485CD8F83F13C026E00FFE
C7FC222B7DA929>I<EB07C0A5130FA4131FA3133F137FA213FF5A1207001FEBFFFEB6FC
A40001EBC000B3151FA96C143E14E0017F137CECF0FC90383FFFF8010F13F0010313E001
001380203B7EB929>I<D9FF80EB0FF8B5EB0FFFA50007EC007F6C153FB3A5167FA316FF
6C5C923803DFFC6CD9C007EBFFE09138E01F9F6DB5121F011F13FE010713F8010001E0EB
E000332A7CA83A>I<B500FC90383FFFC0A5000101C0903803E0006E1307A26C5E6E130F
017F5D6E131F013F92C7FC6E5B011F143E6E137E010F147C6E13FCA26D5C15816D5C15C3
6D5C15E76D5C15FF6E5BA36E90C8FCA26E5AA26E5AA26E5AA26E5AA232287EA737>I<B5
00FC90383FFFC0A5000101C0903803E0006E1307A26C5E6E130F017F5D6E131F013F92C7
FC6E5B011F143E6E137E010F147C6E13FCA26D5C15816D5C15C36D5C15E76D5C15FF6E5B
A36E90C8FCA26E5AA26E5AA26E5AA26E5AA35D14075D000E130FD83F805B387FC01FD8FF
E090C9FC5C143E147E5CEBC1F8387FC3F0387E0FE06CB45A6C5B6C48CAFCEA03F8323B7E
A737>121 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fk cmsy10 12 2
/Fk 2 104 df<ED0FE015FF140391380FFC00EC1FE0EC3F804AC7FC14FE495AA2495AB3
AD495AA2495A495A495A49C8FCEA01FEEA7FF8EAFFE0A2EA7FF8EA01FEEA007F6D7E6D7E
6D7E6D7EA26D7EB3AD6D7EA26D7E147F6E7EEC1FE0EC0FFC913803FFE01400150F236479
CA32>102 D<127EEAFFE013F8EA07FEC67EEB3F806D7E6D7E6D7EA26D7EB3AD6D7EA26D
7E147F6E7E6E7EEC0FF0913803FFC0020013E0A2020313C091380FF000EC1FC04A5A4AC7
FC14FE495AA2495AB3AD495AA2495A495A495A01FFC8FCEA07FEEAFFF813E0007EC9FC23
6479CA32>I E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fl cmr12 12 37
/Fl 37 122 df<121E123FEA7F80EAFFC0A313E0127F123F121E1200A5EA01C0A4EA0380
A2EA0700A2120E121E121C5A5A12200B1D78891B>44 D<121E123FEA7F80EAFFC0A4EA7F
80EA3F00121E0A0A78891B>46 D<14FF010713E0011F13F890383F81FC9038FE007FD801
F8EB1F8049130F000315C04848EB07E0491303000F15F0A24848EB01F8A2003F15FCA390
C8FC4815FEA54815FFB3A46C15FEA46D1301A2003F15FCA3001F15F8A26C6CEB03F0A26D
1307000715E06C6CEB0FC06D131F6C6CEB3F806C6CEB7F0090383F81FC6DB45A010713E0
010090C7FC28447CC131>48 D<1438147814F81303130F137FB5FCA213F71387EA0007B3
B3AFEB1FFE007FB61280A4214278C131>I<49B4FC010F13E0013F13F84913FE3901FE01
FF3A03F0007F8001C0EB3FC048C7EA1FE0487E01E014F0486C130F6D14F8A46C5AA26C5A
C813F0151FA216E0A2ED3FC01680ED7F0015FE5DEC03F8EC1FF090380FFFC092C7FC15F0
90380001FCEC007FED3F80ED1FC0ED0FE016F0ED07F816FCA216FE1503A216FFA2121F48
7E487E487EA316FE15075B6C4814FC007EC7FC0038EC0FF8003C15F06CEC1FE06C6CEB3F
C0D807E0EB7F803A03FC01FF006CB55A6C6C13F8011F13E0010190C7FC28447CC131>51
D<ED1FFC4AB512C0020714F091391FE003FC027FC7127FD901F8EC0FC0D903E0EC03E0D9
0780EC00F049C91278011C161C4982498249707E4848707EED0FF04848D93FFE6D7E48C7
B51470913903F80FC0000E902707E003E07F4A48C67E48494801787F4AC77E48017E021C
7F02FEEC0FF05CD8700103077F5C1303A200E0F003805C1307A91303801270A213016E17
00D83800030F5B80027E141F6C6D023F13066E6C017F130E6C6D6C13F3913B07E003E3F8
1C6C902703F80FC15B0200B53800FFF06C6CD93FFE6D5A6C6CD90FF0EB1F8092CBFC6C7E
13707F7F010FEF1F806D6C16FFD903E0923803FE00D901F8ED3FF8D9007F913803FFC0DA
1FE0D97FFEC7FC0207B612F002014AC8FCDA001F138041477BC54C>64
D<ED01E0A34B7EA34B7EA34B7EA24B7EA34B7E1539A203797F1570A203F07FEDE07FA202
0180EDC03FA2020380ED801FA2020780ED000FA24A80020E1307A24A801603A24A8082A2
4A8182A24A8191B7FCA24982A202C0C7123F49486E7EA349C86C7EA24982010E1507A201
1E82011C1503A2013C820138811378017C83EA01FE2607FF8002077FB500F091B612C0A4
42477DC649>I<B8FC17E017FC17FFC69026E000037F6D4801007FEF3FE0717E717E8417
0784170384A860170760170F604D5A4D5AEFFFC04C5BDC0FFEC7FC91B612F817E017FE91
3AC00001FF809338007FE0EF1FF0717E717E717E717E19808319C0187FA219E0A719C018
FFA24D1380A24D13005F4D5A4D5AEF7FF8496C49485AB912C095C7FC17FC17C03B447CC3
45>I<DB0FFC146092B500C013E0020314F0020FECFC01913A3FFE00FE03DAFFE0131F49
0180EB07874948C7EA03CFD90FF8EC00EF4948157F4948153F495A4A151F49C9120F485A
000317075B00071703485AA248481601A3485A1800A2127FA2491700A212FFAC127FA27F
19E0123FA36C7EA2F001C06C7EA26C6C1603000318807F0001EF07006C7E6D6C150E6E15
1E6D6C5D6D6C15386D6C15F0D903FE4A5A6D6C6CEB07C06D01E0EB1F80DA3FFE01FFC7FC
020FB512FC020314F0020014C0DB0FFEC8FC3B487BC546>I<B8FC17F017FC17FFC69026
E0000713C06D4801007FEF1FF0EF0FFCEF03FE717E83727E727E727EA2727E85180785A2
180385A3727EA41A80AD1A00A44E5AA361180761180F61181F614E5A187F4E5A4D90C7FC
4D5A4D5AEF1FF8EF7FE0496C903807FFC0B9C8FC17FC17F094C9FC41447CC34B>I<010F
B6FCA4D9000313C002001380B3B3AA120EEA3F80487E487EA316005C13C0D87F805BEB00
0300385C003C495A6C5C390F801FE03907E03FC00001B5C7FC6C13FCEB1FE028467CC332
>74 D<B600E00107B512C0A4C601E0C8EBF8006D48ED7F80067EC7FC187C1870604D5A4D
5A4DC8FC170E5F5F5F5F4C5A4C5A4CC9FC160E5E5E5E5E150115034B7E4B7E151F4B7EED
77FE15E39138C1C3FFDAC3817FECC70002CE8002DC6D7E02F8133F4A804A131F4A6D7E83
1607707E8382707F84177F84717E171F84717E1707841703717E858585496C4A13F8B600
E0013FEBFFE0A443447CC34C>I<B612FCA4C601F0C9FCEB7FC0B3B21870A518E0A51701
A3170318C01707A2170F171F173F17FF1603496C131FB91280A434447CC33D>I<B500E0
0407B5FCA36E5EC61A00D977F8EE1DFEA3D973FC1639A3D971FE1671A2D970FF16E1A36E
6CEC01C1A36E6CEC0381A26E6CEC0701A36E6C140EA36E6C141CA26E6C1438A36E6C1470
A36E6C14E0A292397F8001C0A392393FC00380A392391FE00700A292380FF00EA36F6C5A
A36F6C5AA26F6C5AA36F6C5AA3705AA201F86E5A487ED807FF4D7EB500F890261F0003B6
FCA3160E50447CC359>I<B500C0021FB5FC8080A2C66C6C020013E0F03F80D977FCED1F
006E150E1373EB71FF811370816E7E143F816E7E140F816E7E1403816E7F8082157F6F7E
82151F6F7E8215076F7E828117806F13C0167F17E0EE3FF0161F17F8EE0FFC160717FEEE
03FF82188E82EF7FCE18EE173FEF1FFEA2170F1707A21703A21701170013F8486C167ED8
07FF163EB512F8181E180EA240447CC349>I<49B41303010FEBE007013F13F890B56C5A
3901FE00FFD803F8EB1F9FD807E0EB07FF48487F48487F8148C87E825A007E81A212FE82
A46C81A36C7E6D91C7FC7F7FEA3FFC6CB47E14F86CEBFF806C14F86C14FE6C6E7E6C15E0
6D80011F80010780D9007F7F14079138007FFF030F138015031500EE7FC0A2163FEE1FE0
126012E0160FA47EA217C07E161F6C1680A26CED3F007E6D147E6D5CD8FDF01301D8F8FE
495A3AF07FC01FF06DB512C0D8E00F5C010149C7FC39C0003FF02B487BC536>83
D<B600E0011FB5FCA4C601E0C813E06D48ED3F80F01F00180EB3B3A7013F161E181C80A2
011F5EA26D6C157818706D6C15F001035E6E4A5A01014B5A6DB4140F6E6C49C7FCDA3FE0
137E91390FFC03FC6EB512F002015C6E6C1380DB07FCC8FC40467CC349>85
D<EB0FFC90B57E48803903F00FF03907C003F8486CC67E001F147E6D137F81826C5A6C48
6D7E6C5AC8FCA6EC1FFF49B5FC90380FFE1FEB7FE03801FF00EA03FCEA07F0485A485A12
3F485AA290C714E05AA3153FA36C6C136F15EF3B3FC001C7E1C0391FE003873B0FF81F07
FF802703FFFE0313006C9038F801FE3A001FE000FC2B2E7CAC31>97
D<EA01FC12FFA4120712031201B2EC01FE91380FFFC0023F13F091387C03F89138F000FE
D9FDC0137FD9FF80EB1F8091C713C049140F49EC07E017F0160317F8A217FC1601A317FE
A917FCA21603A217F8A2EE07F0A26DEC0FE017C06DEC1F80D9FB80EB3F00D9F1C0137E90
39F0E001FC9039E07C07F891383FFFE0D9C00F1380C7D803FCC7FC2F467DC436>I<EC7F
C0903803FFFC010F7F90383F803F90397E000F8049EB1FC0484814E04848133F485A120F
49EB1FC0001FEC0F804848EB070092C7FCA2127FA290C9FC5AAA7EA27FA2123F6D147012
1FA26C6C14E06C7E0003EC01C06C6CEB03806C6C1307017FEB0F0090383FC07E90381FFF
F8010713E001001380242E7DAC2B>I<167FED3FFFA415018182B2EC7F80903803FFF001
0F13F890383FC07E90387F000F01FC6D5A48481301485A48487F000F81485AA2485AA212
7FA290C8FCA25AA97EA37F123FA2121F7F000F5D6C6C5B7F00034A1380D801FC9038077F
C06C6C011E13FE90383F80FC90381FFFF0010713E00100010013002F467DC436>I<EB01
FE903807FFC0011F13F090387F03F89038FC00FC4848137E48487F4848EB1F80A24848EB
0FC0121F4914E0003F1407A2127F90C713F0A35A90B6FCA390C9FCA67EA27F123FA21670
6C7EA26C6C14E012076C6CEB01C06C6CEB03806C6CEB0700017F130E90383FC07C90380F
FFF8010313E0010090C7FC242E7DAC2B>I<EC0FE0EC3FF8ECFFFE903803F83F903807E0
7F90390FC0FF80495AA2495A49EB7F00153E017E131C01FE90C7FCAFB67EA4C648C8FCB3
B0487E007F13FFA421467EC51E>I<EA01FC12FFA4120712031201B2EC01FE913807FFC0
4A13F091383E07F8EC70014A6C7E4A7FEBFD8001FFC7127E167F5BA35BB3A8486CECFF80
B5D8F83F13FEA42F457DC436>104 D<EA01E0487E487E487EA46C5A6C5A6C5AC8FCADEA
01FC12FFA4120712031201B3AE487EB512F8A415437DC21C>I<EA01FC12FFA412071203
1201B392387FFFE0A492381FFE00ED0FF016C093C7FC151E5D5D5D4A5A4A5A4A5A4AC8FC
5C4A7E147F4A7E9038FDCFE0EBFF87EC07F0496C7EEBFC01816E7E157E157F6F7E151F82
6F7E1507826F7E8282486C497EB5D8F81F13F8A42D457DC433>107
D<EA01FC12FFA4120712031201B3B3B3A3487EB512F8A415457DC41C>I<D801FC01FFEC
1FE000FF010701E0EBFFFC4A6D487F913B1E03F803C07F913C3800FC07001F8000070160
D9FE0C80000349D97F186D7E2601FD805C01FFDA3F70130791C74980495DA3495DB3A848
6C4A6C497EB5D8F81FB50003B512E0A44B2C7DAB52>I<3901FC01FE00FF903807FFC04A
13F091383E07F8EC70010007496C7E0003497F3801FD8001FFC7127E167F5BA35BB3A848
6CECFF80B5D8F83F13FEA42F2C7DAB36>I<EC7F80903803FFF0010F13FC90383FC0FF90
397E001F80496D7ED801F0EB03E000038148486D7E48486D7EA24848147E003F157FA348
C8EA3F80A44816C0AA6C1680A26D147F003F1600A2001F157E6D14FE000F5D6D13016C6C
495A6C6C495A6C6C495A6C6C495A90263FC0FFC7FC6DB45A010713F89038007F802A2E7D
AC31>I<3901FC01FE00FF90380FFFC0023F13F091387C07F89138F001FE3A07FDC0007F
6CB448EB3F806C90C7EA1FC05B49EC0FE017F0160717F8160317FCA3160117FEA917FC16
03A317F8160717F0160F6D15E0EE1FC06DEC3F806EEB7F00D9FDC013FE9039FCE001FC91
387C0FF891383FFFE0020F1380DA03FCC7FC91C9FCAD487EB512F8A42F3F7DAB36>I<39
03F807E000FFEB1FF8EC3FFCEC78FEECE1FF3807F9C100031381EA01FBEC00FE01FF137C
4913381500A35BB3A7487EB512FEA4202C7DAB26>114 D<90383FE0183901FFFC3848EB
FF78390FE01FF8381F0003003E1301003C1300481478A212F81538A37E7E6C1400EA7FC0
13FC383FFFE06C13FC6C13FF6C14806C14C0C614E0011F13F0010013F8EC0FFC14030060
130000E014FE157E7E153EA37E153C7E157C6C14786C14F039FB8003E039F1F00FC000F0
B5128039E07FFE0038C00FF01F2E7DAC26>I<130EA6131EA4133EA2137EA213FE120112
031207001FB512F0B6FCA3C648C7FCB3A3151CAA017E1338137FA26D1370EB1F8090380F
E1E0903807FFC06D13809038007E001E3E7EBC26>I<D801FC147F00FFEC3FFFA4000714
01000380000181B3A75EA35D12005D6DEC7F80017E010613C06D011C13FE90381FC07890
380FFFF06D13E00100018013002F2D7DAB36>I<B539F003FFFCA4000390C7EA7FE0D801
FCEC3F006D141E0000151CA26D143C6D1438A26D6C5BA26E13F0011F5CA2ECE001010F5C
A26D6C485AA2ECF807010391C7FCA26E5A0101130EA26D6C5AA2ECFF3CEC7F38A215F86E
5AA26E5AA36E5AA36E5AA22E2C7EAA33>I<B539F003FFFCA4000390C7EA7FE06C48EC3F
00163E0000151CA2017F5CA280013F5CA26E13F0011F5CA26D6C485AA2ECF00301075CA2
6D6C48C7FCA214FC0101130EA2ECFE1E0100131CA2EC7F38A215F86E5AA26E5AA36E5AA3
6E5AA292C8FCA25C140EA25CA3003C5B127EB45BA25C130148485A387C0780011FC9FCEA
3FFEEA0FFCEA03F02E3F7EAA33>121 D E
%EndDVIPSBitmapFont
%DVIPSBitmapFont: Fm cmbx12 16 24
/Fm 24 122 df<B712FEAD270D7EA332>45 D<18FC4D7E4D7EA24D7FA34D7FA24D7FA34D
7FA34D7FA294B57EA34C80A24C80A217FB04078117F1040F8117E117E0041F814D7E043F
81A24D7E047F8117004C6D7FA24C7F0301825E03036E7FA24C7F0307835E030F6E80A24C
7F031F835E033F6F7FA24C80037F8393C8FC854B834B8102018492B9FCA24A84A24A85A2
03F0C81201020F854B81021F85A24B82023F854B82027F85A292CA7E4A855C0101727FA2
4A830103865C01077280EB1FFFB76C023FB712FCA6665D7BDC71>65
D<BC12FCA487A2D8000391C87E190319001A3F1A0F1A07747E86A286A287A2871C80A31B
1FA4F00FC0F30FC0A498C7FCA2181FA3183FA2187FEF01FF170F93B6FCA6EE000F1701EF
007F183FA2181FA3180FA795CAFCB3A3B912C0A6525A7BD95E>70
D<B912C0A6D8000391CBFCB3B3AD1BFCA4F201F8A51A03A4F207F0A31A0FA21A1FA21A3F
1A7FF2FFE0616161191F197F4EB5FC181FBCFC1BC0A54E5B7BDA5A>76
D<B76C071FB612E070617061A27096B7FCA2D800030CF8C7FC70F001F7A202FB6DF003E7
A202F96DF007C7A202F86DF00F87A36F6DEF1F07A26F6D173EA26F6D177CA26F6D17F8A3
6F6DEE01F0A26F6DEE03E0A26F6DEE07C0A26F6DEE0F80A3706DED1F00A2706D153EA270
6D5DA2706D5DA3706D4A5AA2706D4A5AA2706D4A5AA2706D4A5AA3716D49C7FCA2716D13
3EA2716D5BA2716D5BA3716D485AA2716D485AA2716D485AA2716D485AA372019FC8FCA2
7213FEA2725BA2725BA3725BA2725BA2725BEB1FFFB700E06D4949B812E0A373C7FCA219
3E835B7BDA8E>I<BA12FCF1FFE01AFE747E1BE01BF8D8000349C814FE070F7F07038007
0080747F747F747F888688A2747FA41D80A91D00A36462A264505BA2505B505B97B55A07
035C070F91C7FC96B512FC92B912F06398C8FC1AF81A8093CDFCB3B1B812FCA6595B7CDA
66>80 D<912601FFE0143C021F01FF147C91B600E013FC0103EDF801010FEDFE03013FED
FF8749D9001F13CFD9FFF0010113FF4801C0EB003F4849140F4890C81203498148488100
1F177F49163F003F171F49160FA2007F1707A2180312FF1801A27FA218007F7F7F806E93
C7FC6C13F014FCECFF806C14FCEDFFC06C15FEEEFFE06C16FE717E6C17E06C17F8846C17
FF6C84013F836D836D831303010083023F821407DA007F811503DB003F801601EE001F05
0714801701837213C08484007C8312FC84A384A27E1A80A27EA21A006D5E7F6D5F180F6D
5F01FC161F6D5F6D4C5A02C04B5A02F8EC01FF02FF02075B01CF01F8013F90C7FC018390
B65A01005E48013F15F048010F15C04801004AC8FC48020713E0425F78DC53>83
D<913807FFF091B67E010715E0011F15FC017F81903BFFF8007FFF804801C0011F7F6E01
077F486D6D7F707F486D6D7FA2717EA2846C4980856C5BA238007F80011EC8FC90C9FCA5
047FB5FC037FB6FC0207B7FC147F0103B612BF010FEC803F013FEBF80090B512C04891C7
FC4813FC485B485B485B485BA2485BA2B5C8FCA45FA36C6D91B5FC5E6C6DEB03EF6E0107
806C6DD90FCF13F06C6DD93F87EBFFE06C9027FE01FF0714F06C90B5487EC6EDF801013F
9138E0007F01070280010F13E09026003FF8CAFC443E7CBC49>97
D<EB1FFEB5FCA612017E137FB3A5933803FF80047F13F84BB6FC030715C0031F15F09226
7FF0077F9226FF800013FE6E48C7EA3FFF03F86E7F4B6E7F03C06E7F5D727F92C8808486
A286A28486A41B80AC1B00A54E5BA262A26260626F5C6F5E6F4A5B6F4A5BDAFBF84A90C7
FCDAF9FC4A5ADAF0FF49485A9127E07FE00F5BDAC01FB612E04A6C1580DA00034AC8FC01
7ED9007F13F090C8000F90C9FC495D7CDB53>I<ED7FFE0207B512E0023F14FC91B7FC01
0316C049D9F00113E0011F903980007FF04990C712FF49484913F8495A48494913FC485B
A2485B5A7013F8485B7013F05AEF3FC04AEC0F004893C7FCA4B5FCAC7EA380A27EA27E6E
153F7EA26C6D157EA26C6D15FC6C6D14016C6DEC03F86D6CEC07F06D6DEB0FE06D01E0EB
3FC06D9039FC01FF80010390B61200010015FC023F14F0020714C09126007FFCC7FC383E
7BBC42>I<F00FFF057FB5FCA617008484B3A5ED7FF80207B51280023F14E091B612F801
0315FE010F9039F803FFBF499026C0007FB5FC4990C7121F494814074948804849804849
8048835C5A5C5AA25AA2485BA5B5FCAC7EA47E80A27EA27E6E92B5FC7E6C6D5C5F6C6D5C
6C6D021F806D6C4A806D6C6CD9FF7FEBFF80010F9038F00FFE6D90B512FC010115F06D6C
14C0020FEBFE00020001E002F8C7FC495D7BDB53>I<ED7FFC0207B512C0023F14F091B6
12FC010315FF49D9F01F7F011FD9800313E04948486C7F49487F49486E7E48707E48496E
7E5C488348824A16805A834818C0A25C5AA219E083B5FCA291B8FCA419C00280CAFCA57E
A46C7FA27EF003C0F007E06C7F6CEF0FC0806CEF1F806C6D153F6C6D16006E5DD93FFFEC
01FE6D6D495A6D01E0EB0FF86D01FCEBFFE0010190B65A6D6C92C7FC021F14FC020314E0
9126001FFEC8FC3B3E7CBC44>I<923801FFC0031F13F892B512FE020380020F1580023F
018113C091267FFC0313E09138FFF0074901E014F049495A4913805B15005B7013E05C01
3F6E13C07013809338007E0094C7FCAFB712FEA6D8003F90C9FCB3B3AB007FB612E0A634
5D7CDC2E>I<EB1F80EB7FE0497E487F487F487FA2487FA66C5BA26C5B6C5B6C5B6D5AEB
1F8090C8FCADEB0FFEB5FCA61201EA007FB3B3AAB612FEA61F5D7BDC29>105
D<EB1FFEB5FCA612017E137FB3B3B3B3A5B7FCA6205C7BDB29>108
D<D91FFEDAFFF0ED3FFCB5020701FF4AB512C0043F02C0010F14F04C02F04914FC4BB66C
017F80922603FE036DD9FF807F92260FF0009028FE03FC003F7F0001DA1FC0017FD907F0
7F6C4AC79026FF0FC081017F013E6E4A7F4B049FC7804B16BE4B6E01BC806E4804F882A2
4B5EA24B5EA392C85CB3B0B7D8803FB6D8E00FB612F8A6753C7BBB7E>I<D91FFEECFFE0
B5020F13FE043F6D7E93B612E04B81922607FC037F92260FE0017F000191381F80006C4A
C76C7E017F137E037C815D6E48804B82A25DA25DA392C8FCB3B0B7D8807FB612C0A64A3C
7BBB53>I<ED3FFF0203B512F0021F14FE027F6E7E49B712E00107D9F80713F849D9C000
7F013F90C7EA3FFFD97FFC020F7F49486E7F48844A8048496E7F488448496E7FA24884A2
48844A81A2481980A5B518C0AC6C1980A46C6D92B51200A36C60A26C6D4A5B6C60A26C6D
4A5B6C6D4A5B6C6D4A5B6D6C4A5B6D6C4A90C7FC6D01C0EBFFFE6DD9F8075B010390B612
F0010016C0023F92C8FC020714F8DA003F90C9FC423E7CBC4B>I<D91FFCEB3FC0B5ECFF
F8030313FE030F7F4B1480DB3FC313C0DB7F0713E00001147E6C4A4813F0017F13F8ECFD
F015E014FF4B6C13E0A24B6C13C0A20400130092C7123C94C7FCA45CB3ADB712C0A6343C
7CBB3D>114 D<DA7FF813F0010FB51281013F14E790B7FC120348EB8007D80FFCC7FC48
48147F49141F485A49140F007F1507A2160312FFA27F7F7F6D91C7FC13FF14F06CEBFF80
15FE6CECFFC016F06C15FC6C15FF6C16806C16C06C16E06C16F0013F15F8130F010115FC
EB001F020014FE1507030013FF163F007C8100FC81827E82A27E17FE7FA26DEC07FC7F6D
15F86D140F6DEC1FF001FFEC7FE09139E003FFC091B61280011F1500D8FE0714FCD8F801
14E027F0001FFEC7FC303E7BBC3B>I<EC1F80A6143FA4147FA314FFA25BA25BA25B5B5B
5B5B48B5FC000F91B512E0B8FCA5D8003F0180C7FCB3AB17FCAC17F86D140115C06D15F0
16036D9038E007E015F06D9038FC1FC06D90B512806D6C14006E5B020713F8020013E02E
557DD33A>I<D90FFF923807FF80B6027FB5FCA6000116006C836D82B3B160A395B5FCA2
6D5D5FEF07DF6D6D010F80DD1F9F7F6D6DD93F1FEBFFC06D9038F001FE6D90B512FC0100
15F06E14E0020F1400020001F84AC7FC4A3D7BBB53>I<B600FE023FB5FCA6C66C018002
011380953800FE006D5F6F14016D5F6F1403A26D6D4A5AA26D6D5D180F6D5F6F141F6D5F
6F143F6D94C7FC6F5CA26E6D137E18FE6E5DEEC0016E5DEEE0036E5DEEF007A26E01F85B
170F6E01FC5B171F6E5DEEFE3F6E92C8FC705AA26F13FEA26F5BA26F5BA26F5BA36F5BA2
6F5BA26F5BA26F90C9FCA2167E483C7DBA4F>I<B7023FB5FCA6C66C0180020113809538
00FE006D6D5D18016D5F6F14036D5F6F1407A26D6D4A5AA26D6D5D181F6D6D5D183F6D94
C7FC6F5C6E157E7013FEA26E6D485AA26E01E05B17036E01F05B17076E5DEEF80F6E5DEE
FC1FA26E6D485AA26E01FF90C8FC5F6F13FEA26F5BA26F5BA36F5BA26F5BA26F5BA26F5B
A26F90C9FCA35EA25E15015E15035ED807C01307D81FF05C486C130F487E4B5A487E4B5A
93CAFC5D15FE4A5A387FFC0349485A393FF01FF09038E07FE06CB55A6C91CBFC6C5B0001
13F838003FC048567DBA4F>121 D E
%EndDVIPSBitmapFont
end
%%EndProlog
%%BeginSetup
%%Feature: *Resolution 600dpi
TeXDict begin
%%EndSetup
%%Page: 1 1
1 0 bop 548 62 a Fm(Av)-8 b(ailabilit)l(y)51 b(and)e(Lo)t(calit)l(y)h
(Measuremen)l(ts)f(of)1087 216 y(P)l(eer-to-P)l(eer)h(File)h(Systems)
880 414 y Fl(Jac)m(ky)34 b(Ch)m(u)101 b(Kevin)33 b(Lab)s(on)m(te)137
b(Brian)31 b(Neil)h(Levine)1224 530 y(Departmen)m(t)g(of)g(Computer)h
(Science)880 646 y(Univ)m(ersit)m(y)h(of)e(Massac)m(h)m(usetts,)k
(Amherst,)d(MA)g(01003)1158 762 y Fk(f)p Fl(cc)m(h)m(u,klab)s(on)m
(te,brian)p Fk(g)p Fl(@cs.umass.edu)618 963 y Fj(ABSTRA)m(CT)-72
1117 y Fi(A)n(lthough)26 b(p)l(e)l(er-to-p)l(e)l(er)g(networking)g
(applic)l(ations)i(c)l(ontinue)-72 1216 y(to)f(incr)l(e)l(ase)h(in)f(p)
l(opularity,)j(ther)l(e)e(have)g(b)l(e)l(en)f(few)h(me)l(asur)l(e-)-72
1316 y(ment)44 b(studies)g(of)h(their)g(p)l(erformanc)l(e.)84
b(We)44 b(pr)l(esent)g(the)-72 1416 y(\014rst)29 b(study)h(of)h(the)f
(lo)l(c)l(ality)i(of)e(\014les)g(stor)l(e)l(d)h(and)f(tr)l(ansferr)l(e)
l(d)-72 1515 y(among)e(p)l(e)l(ers)h(in)f(Napster)g(and)g(Gnutel)t(la)g
(over)h(month-long)-72 1615 y(p)l(erio)l(ds.)94 b(Our)46
b(analysis)j(indic)l(ates)g(that)f(the)g(lo)l(c)l(ality)g(of)-72
1714 y(\014les)35 b(is)g(skewe)l(d)g(in)g(al)t(l)g(four)g(c)l(ases)g
(and)g(\014ts)f(wel)t(l)i(to)e(a)h(lo)l(g-)-72 1814 y(quadr)l(atic)30
b(distribution.)39 b(This)31 b(pr)l(e)l(dicts)f(that)f(c)l(aches)h(of)g
(the)-72 1914 y(most)h(p)l(opular)h(songs)g(would)g(incr)l(e)l(ase)g(p)
l(erformanc)l(e)g(of)g(the)-72 2013 y(system.)77 b(We)42
b(also)i(to)l(ok)f(b)l(aseline)g(me)l(asur)l(ements)f(of)h(\014le)-72
2113 y(typ)l(es)38 b(and)h(sizes)g(for)g(c)l(omp)l(arison)g(over)g
(time)f(with)h(futur)l(e)-72 2213 y(studies.)f(Not)27
b(surprisingly,)j(audio)f(\014les)e(ar)l(e)h(most)g(p)l(opular,)-72
2312 y(however)40 b(a)g(signi\014c)l(ant)e(fr)l(action)i(of)g(stor)l(e)
l(d)f(data)h(is)f(o)l(c)l(cu-)-72 2412 y(pie)l(d)e(by)g(vide)l(os.)59
b(Final)t(ly,)39 b(we)e(me)l(asur)l(e)l(d)e(the)i(distribution)-72
2511 y(of)31 b(time)g(p)l(e)l(ers)f(in)g(Gnutel)t(la)h(wer)l(e)g
(available)i(for)e(downlo)l(ad-)-72 2611 y(ing.)48 b(We)33
b(found)g(that)g(no)l(de)g(availability)j(is)d(str)l(ongly)g(in\015u-)
-72 2711 y(enc)l(e)l(d)28 b(by)g(time-of-day)i(e\013e)l(cts,)e(and)h
(that)f(most)f(user's)h(tend)-72 2810 y(to)e(b)l(e)g(available)i(for)f
(only)f(very)h(short)f(c)l(ontiguous)f(lengths)h(of)-72
2910 y(time.)426 3149 y Fj(1.)32 b(INTR)m(ODUCTION)-72
3302 y Fh(T)-7 b(ra\016c)38 b(from)f(W)-7 b(eb)40 b(and)e(p)r(eer-to-p)
r(eer)g(applications)c(rank)-72 3402 y(among)c(the)j(most)e(dominan)n
(t)f(on)i(the)h(In)n(ternet.)50 b(Ho)n(w)n(ev)n(er,)-72
3501 y(compared)27 b(to)i(studies)f(of)h(the)g(w)n(eb,)h(there)f(are)f
(man)n(y)f(few)n(er)-72 3601 y(measuremen)n(t)21 b(studies)i(of)h(p)r
(eer-to-p)r(eer)f(\(P2P\))g(\014le)g(sharing)-72 3701
y(net)n(w)n(orks.)65 b(In)37 b(this)g(pap)r(er,)j(w)n(e)d(presen)n(t)g
(the)g(preliminary)-72 3800 y(results)h(of)h(t)n(w)n(o)g(studies)f(on)h
(P2P)f(applications.)68 b(F)-7 b(or)39 b(the)-72 3900
y(\014rst,)26 b(w)n(e)f(p)r(erio)r(dically)20 b(recorded)k(the)i(names)
e(of)h(\014les)f(stored)-72 4000 y(b)n(y)f(sev)n(eral)d(thousand)i
(users)g(of)h(the)g(Napster)f(application)d(in)-72 4099
y(Jan)n(uary)30 b(2001)g(and)h(Gn)n(utella)f(P2P)g(\014le)h(system)g
(in)g(Marc)n(h)-72 4199 y(2002.)68 b(F)-7 b(or)37 b(the)i(second,)i(w)n
(e)d(p)r(erio)r(dically)c(measured)i(the)-72 4298 y(a)n(v)-5
b(ailabilit)n(y)20 b(of)27 b(p)r(eers)f(on)g(the)g(Gn)n(utella)f(net)n
(w)n(ork)g(in)h(Marc)n(h)-72 4398 y(2002.)11 4541 y(Our)42
b(analysis)d(of)j(these)h(measuremen)n(ts)c(sho)n(ws)j(strong)-72
4640 y(evidence)32 b(that)i(cac)n(hes)f(can)g(impro)n(v)n(e)d(the)k(p)r
(erformance)d(of)-72 4740 y(these)h(systems)f(as)g(seen)h(b)n(y)g(the)h
(user)e(and)h(reduce)g(the)h(use)-72 4839 y(of)23 b(net)n(w)n(ork)e
(resources.)33 b(There)22 b(are)g(man)n(y)f(factors)g(that)i(sug-)-72
4939 y(gest)k(this)g(is)f(true.)p -72 4999 787 4 v 66
5076 a Fg(This)i(pap)r(er)e(w)n(as)i(supp)r(orted)e(in)h(part)g(b)n(y)e
(National)j(Science)-72 5167 y(F)-6 b(oundation)29 b(a)n(w)n(ards)g
(ANI-033055)h(and)f(EIA-0080199,)j(and)c(b)n(y)-72 5258
y(a)e(gift)h(from)e(Sprin)n(t)g(Adv)l(anced)f(T)-6 b(ec)n(hnology)26
b(Labs.)2060 963 y Fh(First,)56 b(w)n(e)50 b(calculated)e(the)j(lo)r
(calit)n(y)c(of)k(Napster)f(and)1977 1063 y(Gn)n(utella)40
b(stored)g(and)h(transferred)f(\014les,)k(recorded)c(more)1977
1163 y(than)34 b(a)e(y)n(ear)g(apart.)52 b(W)-7 b(e)34
b(found)f(that)g(b)r(oth)h(net)n(w)n(orks)d(ex-)1977
1262 y(hibit)18 b(lo)r(calit)n(y)e(c)n(haracteristics)f(that)20
b(\014t)f(a)g(log-quadratic)c(dis-)1977 1362 y(tribution)27
b(\(and)h(are)g(closely)d(appro)n(ximated)g(b)n(y)j(t)n(w)n(o)f(p)r(o)n
(w)n(er)1977 1462 y(la)n(ws\).)51 b(The)32 b(most)g(p)r(opular)e
(10\045)i(of)h(\014les)e(in)h(Gn)n(utella)f(ac-)1977
1561 y(coun)n(t)d(for)g(50\045)f(of)h(the)h(total)e(n)n(um)n(b)r(er)g
(of)h(stored)f(\014les.)38 b(The)1977 1661 y(lo)r(calit)n(y)c(of)j
(transferred)e(\014les)h(is)g(ev)n(en)g(higher:)54 b(the)37
b(most-)1977 1760 y(p)r(opular)30 b(10\045)h(of)h(transferred)e
(\014les)g(accoun)n(t)h(for)g(o)n(v)n(er)f(60\045)1977
1860 y(of)37 b(total)e(transfers)h(b)n(y)g(our)g(estimates.)62
b(W)-7 b(e)37 b(are)f(una)n(w)n(are)1977 1960 y(of)49
b(other)f(published)f(w)n(ork)h(sho)n(wing)e(results)h(for)i(stored)
1977 2059 y(or)37 b(transferred)f(\014les,)i(or)f(results)f(for)g(the)i
(e\013ectiv)n(eness)e(of)1977 2159 y(cac)n(hing)c(\014le)g(do)n
(wnloads;)i(the)g(most)e(closely)e(related)i(w)n(ork)1977
2259 y(has)27 b(fo)r(cused)h(on)f(the)h(lo)r(calit)n(y)c(and)k(cac)n
(hing)d(of)j(queries.)2060 2395 y(Second,)f(w)n(e)f(presen)n(t)g(the)g
(distribution)e(of)i(\014le)g(t)n(yp)r(es)g(and)1977
2495 y(sizes)k(that)h(w)n(e)f(found)h(on)f(the)h(net)n(w)n(ork.)45
b(Not)31 b(surprisingly)-7 b(,)1977 2594 y(most)38 b(\014les)g(are)g
(MP3)g(enco)r(dings)f(of)i(ab)r(out)g(4Mb)g(in)f(size.)1977
2694 y(Only)24 b(ab)r(out)i(3\045)f(of)g(all)e(\014les)h(are)g(videos,)
g(but)i(they)g(accoun)n(t)1977 2794 y(for)g(21\045)g(of)g(all)e(stored)
i(b)n(ytes.)36 b(These)26 b(measuremen)n(ts)d(serv)n(e)1977
2893 y(as)c(a)g(baseline)e(for)i(c)n(hanges)f(w)n(e)h(exp)r(ect)h(to)f
(trac)n(k)f(and)i(observ)n(e)1977 2993 y(o)n(v)n(er)26
b(the)i(coming)d(y)n(ears.)2060 3129 y(Third,)35 b(w)n(e)e(presen)n(t)g
(our)g(analysis)e(of)i(no)r(de)h Fi(availability)p Fh(,)1977
3229 y(whic)n(h)26 b(w)n(e)g(de\014ne)h(as)e(the)i(amoun)n(t)e(of)i
(time)e(p)r(eers)h(are)f(a)n(v)-5 b(ail-)1977 3329 y(able)30
b(to)i(serv)n(e)e(\014le)g(transfer)g(requests)h(for)g(others.)47
b(Our)31 b(re-)1977 3428 y(sults)24 b(sho)n(w)g(that)i(a)e(ma)5
b(jorit)n(y)22 b(of)j(no)r(des)f(who)h(are)f(connected)1977
3528 y(to)i(the)h(net)n(w)n(ork)e(are)g(actually)f(busy)i(when)g(c)n
(hec)n(k)n(ed,)f(mean-)1977 3627 y(ing)38 b(they)i(are)e(not)h(able)e
(to)i(handle)f(requests)h(from)e(other)1977 3727 y(p)r(eers.)f(In)27
b(Gn)n(utella,)d(no)r(des)i(ma)n(y)e(at)i(times)e(answ)n(er)h(queries)
1977 3827 y(but)39 b(not)f(serv)n(e)e(\014les.)67 b(F)-7
b(or)37 b(example,)i(no)r(des)e(ma)n(y)g(not)g(b)r(e)1977
3926 y(a)n(v)-5 b(ailable)36 b(when)k(a)g(user-set)f(limit)e(on)j
(concurren)n(t)f(do)n(wn-)1977 4026 y(loads)34 b(is)h(reac)n(hed.)60
b(Our)35 b(\014ndings)f(sho)n(w)h(that)h(a)n(v)-5 b(ailabilit)n(y)1977
4126 y(oscillates)38 b(o)n(v)n(er)h(a)i(24-hour)e(p)r(erio)r(d,)44
b(indicating)38 b(that)j(the)1977 4225 y(time)25 b(of)i(da)n(y)f
(a\013ects)g(when)h(no)r(des)f(are)g(busy)g(or)g(o\017ine.)35
b(W)-7 b(e)1977 4325 y(found)26 b(that)g(the)g(distribution)d(of)j(the)
g(length)e(of)i(con)n(tin)n(uous)1977 4424 y(times)38
b(no)r(des)i(are)f(a)n(v)-5 b(ailable)35 b(is)k(hea)n(vily)e(sk)n(ew)n
(ed)i(to)h(short)1977 4524 y(times.)d(This)27 b(sk)n(ew)n(ed)g(p)r
(erformance)f(can)i(b)r(e)g(appro)n(ximated)1977 4624
y(b)n(y)g(a)f(log-quadratic)c(distribution.)2060 4760
y(In)k(sum,)f(w)n(e)f(found)i(that)f(transferred)f(\014les)g(ha)n(v)n
(e)g(high)h(lo-)1977 4860 y(calit)n(y)-7 b(,)31 b(the)h(most)e(p)r
(opular)g(shared)h(\014les)f(are)h(ab)r(out)h(4)f(MB,)1977
4959 y(and)i(no)r(des)f(tend)h(to)g(b)r(e)g(una)n(v)-5
b(ailable.)47 b(These)33 b(results)e(sug-)1977 5059 y(gest)i(that)h
(cac)n(hes)e(of)i(p)r(opular)d(P2P)h(shared)h(con)n(ten)n(t,)h(p)r(er-)
1977 5159 y(haps)22 b(collo)r(cated)d(with)i(w)n(eb)g(cac)n(hes,)h(w)n
(ould)e(b)r(e)i(a)g(signi\014can)n(t)1977 5258 y(impro)n(v)n(emen)n(t)j
(for)k(users)g(of)g(these)g(systems.)41 b(F)-7 b(or)28
b(example,)1915 5507 y(1)p eop
%%Page: 2 2
2 1 bop -72 144 a Fh(in)20 b(our)g(study)-7 b(,)23 b(the)e(most)f(p)r
(opular)f(5\045)i(of)g(\014les)f(accoun)n(ted)g(for)-72
244 y(50\045)25 b(of)h(all)e(transfers.)35 b(This)26
b(corresp)r(onds)e(to)i(ab)r(out)g(45,000)-72 344 y(songs,)g(whic)n(h)h
(can)g(b)r(e)h(stored)f(in)g(ab)r(out)g(175)f(GB.)11
484 y(This)d(pap)r(er)g(is)f(organized)f(as)i(follo)n(ws.)33
b(Section)22 b(2)h(reviews)-72 583 y(previous)k(w)n(ork)g(and)i(bac)n
(kground)e(material)e(on)k(the)g(op)r(era-)-72 683 y(tion)g(of)h
(Napster)f(and)g(Gn)n(utella.)42 b(Section)29 b(4)g(describ)r(es)f(our)
-72 783 y(metho)r(d)c(of)g(measuremen)n(t)e(and)i(data)g(collection.)32
b(Section)24 b(5)-72 882 y(presen)n(ts)31 b(our)g(results)g(on)h(lo)r
(calit)n(y)-7 b(,)29 b(no)r(de)k(a)n(v)-5 b(ailabili)o(t)n(y)e(,)28
b(and)-72 982 y(other)38 b(c)n(haracterizations.)67 b(Section)38
b(6)h(o\013ers)f(our)g(conclu-)-72 1082 y(sions.)463
1316 y Fj(2.)32 b(BA)m(CK)m(GR)m(OUND)-72 1465 y(2.1.)g(Previous)k(W)-9
b(ork)-72 1609 y Fh(Although)48 b(similar)c(studies)j(on)i(P2P)e
(applications)e(ha)n(v)n(e)-72 1709 y(b)r(een)33 b(rep)r(orted,)f(our)g
(con)n(tributions)d(can)j(easily)e(b)r(e)i(distin-)-72
1809 y(guished)27 b(from)f(these)i(earlier)d(w)n(orks.)36
b(W)-7 b(e)28 b(are)f(not)h(a)n(w)n(are)d(of)-72 1908
y(previous)d(w)n(ork)g(that)i(has)g(an)n(y)f(measuremen)n(ts)e(on)i
(stored)g(or)-72 2008 y(transferred)32 b(\014les,)h(nor)g(on)f
(time-of-da)n(y)e(e\013ects)k(presen)n(t)e(in)-72 2108
y(no)r(de)27 b(a)n(v)-5 b(ailabilit)n(y)e(.)31 b(In)c(addition,)e
(where)h(w)n(e)h(ha)n(v)n(e)f(rep)r(eated)-72 2207 y(analysis,)i(w)n(e)
i(discuss)f(ho)n(w)h(our)g(results)f(di\013er)h(from)f(previ-)-72
2307 y(ous)e(w)n(ork.)11 2447 y(Rip)r(ean)n(u)33 b(et)i(al.)539
2417 y Ff(1)609 2447 y Fh(mapp)r(ed)e(out)h(the)h(Gn)n(utella)d(top)r
(ology)-72 2547 y(b)n(y)20 b(monitoring)d(Ping/P)n(ong)g(messages,)i
(measured)g(p)r(ercen)n(t-)-72 2646 y(ages)36 b(of)i(tra\016c)f(b)n(y)g
(t)n(yp)r(e)h(\(e.g.,)i(queries)35 b(and)j(pings\),)h(and)-72
2746 y(found)31 b(that)h(the)f(Gn)n(utella)e(top)r(ology)g(do)r(es)i
(not)g(matc)n(h)f(the)-72 2845 y(underlying)25 b(net)n(w)n(ork)h(top)r
(ology)-7 b(.)11 2986 y(Mark)i(atos)350 2955 y Ff(2)420
2986 y Fh(to)r(ok)34 b(measuremen)n(ts)d(from)h(three)i(Gn)n(utella)-72
3085 y(clien)n(ts)i(at)h(separate)f(geographic)f(lo)r(cations)g(for)i
(one)g(hour)-72 3185 y(and)23 b(analyzed)d(the)j(e\013ects)g(of)g(cac)n
(hing)d(searc)n(h)i(queries.)33 b(Due)-72 3284 y(to)20
b(the)g(high)e(temp)r(oral)f(lo)r(calit)n(y)f(of)k(queries)e(observ)n
(ed,)h(a)h(sim-)-72 3384 y(ple)32 b(query)g(cac)n(hing)e(sc)n(heme)i(w)
n(as)f(sho)n(wn)h(to)h(reduce)f(query)-72 3484 y(tra\016c)c(b)n(y)f(as)
h(m)n(uc)n(h)f(as)g(a)h(factor)f(of)h(t)n(w)n(o.)37 b(This)27
b(tra\016c)h(do)r(es)-72 3583 y(not)g(include)d(the)j(tra\016c)f
(caused)g(b)n(y)g(\014le)g(transfers)f(b)r(et)n(w)n(een)-72
3683 y(p)r(eers,)h(whic)n(h)g(is)f(what)i(w)n(e)f(prop)r(ose)f(to)i
(reduce.)11 3823 y(Saroiu)c(et)h(al.)451 3793 y Ff(3)513
3823 y Fh(did)g(a)g(study)h(on)f(latency)f(and)i(bandwidth)-72
3923 y(in)g(the)h(Gn)n(utella)d(net)n(w)n(ork.)35 b(They)27
b(studied)f(the)h(a)n(v)-5 b(ailabilit)n(y)-72 4022 y(of)38
b(17,125)d(no)r(des)i(o)n(v)n(er)f(a)i(60-hour)d(p)r(erio)r(d,)40
b(probing)35 b(eac)n(h)-72 4122 y(no)r(de)26 b(ev)n(ery)e(sev)n(en)h
(min)n(utes.)34 b(W)-7 b(e)26 b(also)e(studied)h(no)r(de)h(a)n(v)-5
b(ail-)-72 4222 y(abilit)n(y)e(,)20 b(but)k(w)n(e)e(ran)g(our)f(exp)r
(erimen)n(t)g(o)n(v)n(er)g(a)h(six-w)n(eek-long)-72 4321
y(p)r(erio)r(d,)27 b(greatly)e(extending)h(their)h(results.)11
4461 y(Adar)22 b(and)g(Hub)r(erman)756 4431 y Ff(4)815
4461 y Fh(measured)f(Gn)n(utella)f(Query)i(and)-72 4561
y(Ping/P)n(ong)d(messages.)33 b(P)n(ong)22 b(messages)e(con)n(tain)i
(the)i(n)n(um-)-72 4661 y(b)r(er)29 b(of)g(\014les)f(shared)g(b)n(y)h
(users.)41 b(They)29 b(inferred)e(p)r(eer)i(do)n(wn-)-72
4760 y(loads)d(from)g(QueryHit)g(messages)f(b)n(y)i(assuming)e(that)i
(users)-72 4860 y(do)n(wnload)39 b(all)h(\014les)g(that)i(app)r(ear)f
(in)f(all)g(suc)n(h)h(messages,)-72 4959 y(clearly)30
b(an)i(incorrect)f(and)i(p)r(o)r(or)f(assumption.)50
b(In)33 b(our)f(ex-)-72 5059 y(p)r(erimen)n(t,)23 b(w)n(e)i(explicitly)
c(obtained)i(the)i(shared)f(\014le)f(list)g(p)r(e-)-72
5159 y(rio)r(dically)15 b(from)20 b(eac)n(h)f(user)h(b)n(y)g(taking)f
(adv)-5 b(an)n(tage)19 b(of)h(the)h(ca-)-72 5258 y(pabilities)16
b(of)j(sp)r(eci\014c)g(Gn)n(utella)f(implemen)n(tations.)29
b(W)-7 b(e)20 b(cal-)1977 144 y(culated)29 b(the)g(di\013erences)f(o)n
(v)n(er)f(time)h(of)h(eac)n(h)f(user's)h(shared)1977
244 y(\014le)e(lists)f(to)h(infer)g(whic)n(h)f(songs)h(w)n(ere)f
(transferred.)2060 391 y(W)-7 b(e)20 b(kno)n(w)f(of)g(only)f(a)g
(single)f(pap)r(er)i(that)h(has)e(prop)r(osed)g(an-)1977
490 y(alytical)j(mo)r(dels)i(of)h(P2P)f(net)n(w)n(orks,)g(b)n(y)i
(Figueiredo)c(et)k(al..)3908 460 y Ff(5)1977 590 y Fh(This)31
b(preliminary)26 b(w)n(ork)31 b(m)n(ust)f(mak)n(e)g(assumptions)f(ab)r
(out)1977 690 y(some)k(of)h(the)h(p)r(erformance)d(attributes)h(w)n(e)h
(examined,)g(in-)1977 789 y(cluding)19 b(session)g(length)i(and)f(no)r
(de)i(a)n(v)-5 b(ailabili)o(t)n(y)e(.)29 b(W)-7 b(e)22
b(exp)r(ect)1977 889 y(our)27 b(results)f(to)i(b)r(e)g(useful)f(for)g
(suc)n(h)g(mo)r(deling)e(studies.)2060 1036 y(The)34
b(remainder)c(of)k(this)e(section)g(brie\015y)g(o)n(v)n(erviews)e(the)
1977 1135 y(asp)r(ects)43 b(of)h(the)g(Napster)f(and)g(Gn)n(utella)f
(proto)r(cols)f(rele-)1977 1235 y(v)-5 b(an)n(t)33 b(to)f(our)g(study)
-7 b(.)52 b(F)-7 b(or)32 b(detailed)f(proto)r(col)f(information,)1977
1335 y(please)f(see)h(the)h(Napster)f(proto)r(col)e(sp)r(eci\014cation)
3599 1305 y Ff(6)3664 1335 y Fh(and)i(the)1977 1434 y(Gn)n(utella)c
(v0.4)h(proto)r(col)e(sp)r(eci\014cation.)3291 1404 y
Ff(7)1977 1646 y Fj(2.2.)32 b(Napster)j(Proto)s(col)1977
1798 y Fh(The)i(Napster)f(proto)r(col)f(uses)h(a)g(cen)n(tralized)e
(approac)n(h)h(to)1977 1897 y(k)n(eep)23 b(trac)n(k)g(of)g(whic)n(h)g
(\014les)f(are)g(stored)h(b)n(y)g(eac)n(h)g(of)h(its)e(p)r(eers.)1977
1997 y(When)e(a)e(p)r(eer)g(comes)f(online,)i(it)f(sends)g(its)g(list)f
(of)h(shared)g(\014les)1977 2097 y(to)28 b(the)g(cen)n(tral)e(serv)n
(er.)36 b(When)29 b(a)e(p)r(eer)h(go)r(es)f(o\017ine,)g(its)g(list)1977
2196 y(of)19 b(shared)f(\014les)g(is)g(remo)n(v)n(ed)e(from)h(the)j
(cen)n(tral)d(database.)32 b(All)1977 2296 y(searc)n(h)d(requests)h
(are)f(sen)n(t)i(directly)d(to)i(the)h(cen)n(tral)e(serv)n(er,)1977
2395 y(whic)n(h)d(in)g(turn)h(searc)n(hes)e(its)h(database)g(for)h
(clien)n(ts)d(who)j(are)1977 2495 y(sharing)21 b(\014les)i(that)g
(satisfy)f(the)i(request.)35 b(The)23 b(list)f(of)h(results)1977
2595 y(is)32 b(sen)n(t)g(bac)n(k)g(to)g(the)h(clien)n(t,)f(and)g(the)h
(\014le)e(transfers)g(o)r(ccur)1977 2694 y(directly)22
b(b)r(et)n(w)n(een)j(t)n(w)n(o)e(p)r(eers.)35 b(W)-7
b(e)25 b(made)e(use)h(of)g(the)h(proto-)1977 2794 y(col's)e
Fi(br)l(owse)h Fh(message)d(in)j(our)f(exp)r(erimen)n(t,)f(whic)n(h)h
(allo)n(ws)d(a)1977 2894 y(clien)n(t)i(to)i(get)f(a)h(sp)r(eci\014c)e
(user's)h(song)g(list)f(from)g(the)i(Napster)1977 2993
y(serv)n(er.)1977 3205 y Fj(2.3.)32 b(Gn)m(utella)j(Proto)s(col)1977
3357 y Fh(The)30 b(Gn)n(utella)d(proto)r(col)f(di\013ers)i(from)g(the)i
(Napster)e(proto-)1977 3456 y(col)33 b(in)h(that)g(it)g(uses)g(a)f
(distributed)g(approac)n(h)f(to)i(lo)r(cating)1977 3556
y(\014les)26 b(in)h(the)g(net)n(w)n(ork.)35 b(Since)26
b(there)h(is)f(no)h(cen)n(tral)e(serv)n(er)g(to)1977
3655 y(connect)k(to,)g(a)g(p)r(eer)f(m)n(ust)g(main)n(tain)e
(connections)h(to)h(a)h(set)1977 3755 y(of)j(other)e(kno)n(wn)h(Gn)n
(utella)e(p)r(eers,)j(called)d Fi(friends)p Fh(.)49 b(Searc)n(h)1977
3855 y(requests)31 b(are)f(carried)e(out)j(b)n(y)g(sending)f(the)h
(query)g(to)g(eac)n(h)1977 3954 y(friend,)23 b(who)e(in)g(turn)h(rela)n
(y)d(the)k(query)e(to)g(their)g(friends,)h(and)1977 4054
y(so)29 b(on)g(un)n(til)f(the)h(query)g(has)g(\015o)r(o)r(ded)g(the)h
(net)n(w)n(ork)d(up)j(to)f(a)1977 4154 y(certain)c(depth.)37
b(Searc)n(h)24 b(results)h(are)g(routed)g(through)g(p)r(eers)1977
4253 y(along)20 b(the)j(rev)n(erse)d(path)i(of)g(the)h(query)e(un)n
(til)f(they)j(reac)n(h)d(the)1977 4353 y(originating)29
b(p)r(eer.)52 b(Lik)n(e)31 b(in)h(Napster,)i(\014le)e(transfers)f(o)r
(ccur)1977 4452 y(directly)26 b(b)r(et)n(w)n(een)h(t)n(w)n(o)g(p)r
(eers.)2091 4700 y Fj(3.)32 b(EXPERIMENT)i(METHODOLOGY)1977
4860 y Fh(This)39 b(section)f(describ)r(es)f(the)j(metho)r(dology)d(of)
i(t)n(w)n(o)f(mea-)1977 4959 y(suremen)n(t)c(exp)r(erimen)n(ts)e(w)n(e)
j(p)r(erformed.)57 b(In)35 b(the)h(\014rst)e(ex-)1977
5059 y(p)r(erimen)n(t,)23 b(w)n(e)f(recorded)g(the)i(\014les)e(do)n
(wnloaded)f(b)n(y)h(Napster)1977 5159 y(and)g(Gn)n(utella)e(users.)34
b(In)21 b(the)h(second)f(exp)r(erimen)n(t,)g(w)n(e)g(mea-)1977
5258 y(sured)32 b(the)g(amoun)n(t)e(of)i(time)e(no)r(des)h(w)n(ere)g(a)
n(v)-5 b(ailable)27 b(in)k(the)1915 5507 y(2)p eop
%%Page: 3 3
3 2 bop 121 65 3631 4 v 119 156 4 92 v 171 129 a Fg(Set)p
325 156 V 240 w(Dates)p 899 156 V 915 156 V 258 w(Users)26
b(seen)p 1364 156 V 100 w(T)-6 b(otal)26 b(Stored)p 1884
156 V 100 w(Unique)e(Stored)p 2466 156 V 100 w(T)-6 b(otal)26
b(T)-6 b(ransfers)p 3077 156 V 101 w(Unique)25 b(T)-6
b(ransfers)p 3749 156 V 119 247 V 325 247 V 899 247 V
915 247 V 1364 247 V 1708 220 a(\014les)p 1884 247 V
453 w(\014les)p 2466 247 V 299 w(Recorded)p 3077 247
V 359 w(Recorded)p 3749 247 V 121 251 3631 4 v 119 342
4 92 v 205 315 a(0)p 325 342 V 134 w(12/21)27 b({)f(12/25)p
899 342 V 915 342 V 255 w(20,969)p 1364 342 V 172 w(11,808,017)p
1884 342 V 274 w(3,029,731)p 2466 342 V 401 w(24,557)p
3077 342 V 462 w(21,933)p 3749 342 V 119 433 V 205 406
a(1)p 325 433 V 134 w(12/26)h({)f(12/30)p 899 433 V 915
433 V 293 w(6,375)p 1364 433 V 211 w(3,064,179)p 1884
433 V 273 w(1,244,044)p 2466 433 V 401 w(14,526)p 3077
433 V 462 w(13,790)p 3749 433 V 119 525 V 205 497 a(2)p
325 525 V 172 w(12/31)i({)e(1/4)p 899 525 V 915 525 V
292 w(10,443)p 1364 525 V 211 w(6,052,391)p 1884 525
V 273 w(2,033,928)p 2466 525 V 401 w(62,741)p 3077 525
V 462 w(53,046)p 3749 525 V 119 616 V 205 589 a(3)p 325
616 V 211 w(1/5)g({)g(1/9)p 899 616 V 915 616 V 369 w(1,896)p
1364 616 V 270 w(992,858)p 1884 616 V 333 w(507,392)p
2466 616 V 439 w(9,653)p 3077 616 V 499 w(9,049)p 3749
616 V 119 707 V 205 680 a(4)p 325 707 V 172 w(1/10)h({)f(1/14)p
899 707 V 915 707 V 480 w(-)p 1364 707 V 494 w(-)p 1884
707 V 556 w(-)p 2466 707 V 585 w(-)p 3077 707 V 647 w(-)p
3749 707 V 119 799 V 205 771 a(5)p 325 799 V 172 w(1/15)h({)f(1/19)p
899 799 V 915 799 V 293 w(37,737)p 1364 799 V 211 w(6,649,273)p
1884 799 V 273 w(2,115,010)p 2466 799 V 363 w(296,516)p
3077 799 V 423 w(215,452)p 3749 799 V 119 890 V 205 863
a(6)p 325 890 V 172 w(1/20)h({)f(1/24)p 899 890 V 915
890 V 293 w(45,541)p 1364 890 V 172 w(19,029,580)p 1884
890 V 274 w(4,107,157)p 2466 890 V 363 w(399,067)p 3077
890 V 423 w(261,544)p 3749 890 V 119 981 V 205 954 a(7)p
325 981 V 172 w(1/25)h({)f(1/29)p 899 981 V 915 981 V
293 w(33,767)p 1364 981 V 172 w(15,322,370)p 1884 981
V 274 w(3,520,122)p 2466 981 V 363 w(454,300)p 3077 981
V 423 w(282,954)p 3749 981 V 119 1073 V 205 1045 a(8)p
325 1073 V 191 w(1/30)i({)e(2/3)p 899 1073 V 915 1073
V 311 w(22,992)p 1364 1073 V 211 w(6,340,511)p 1884 1073
V 273 w(1,636,540)p 2466 1073 V 363 w(342,466)p 3077
1073 V 423 w(222,125)p 3749 1073 V 121 1076 3631 4 v
856 1219 a Fe(T)-7 b(able)28 b(1.)h Fg(Song)d(\014les)g(and)f
(transfers)i(recorded)f(from)f(Napster)h(clien)n(ts.)p
173 1337 3554 4 v 171 1428 4 92 v 223 1401 a(Set)p 378
1428 V 202 w(Dates)p 874 1428 V 891 1428 V 219 w(Users)g(seen)p
1340 1428 V 100 w(T)-6 b(otal)27 b(Stored)p 1860 1428
V 99 w(Unique)e(Stored)p 2442 1428 V 99 w(T)-6 b(otal)27
b(T)-6 b(ransfers)p 3052 1428 V 101 w(Unique)24 b(T)-6
b(ransfers)p 3725 1428 V 171 1519 V 378 1519 V 874 1519
V 891 1519 V 1340 1519 V 1683 1492 a(\014les)p 1860 1519
V 454 w(\014les)p 2442 1519 V 298 w(Recorded)p 3052 1519
V 360 w(Recorded)p 3725 1519 V 173 1523 3554 4 v 171
1614 4 92 v 257 1587 a(0)p 378 1614 V 134 w(2/24)27 b({)f(2/28)p
874 1614 V 891 1614 V 292 w(5,414)p 1340 1614 V 211 w(9,139,684)p
1860 1614 V 334 w(984,576)p 2442 1614 V 302 w(1,573,592)p
3052 1614 V 424 w(507,493)p 3725 1614 V 171 1705 V 257
1678 a(1)p 378 1705 V 173 w(3/1)g({)g(3/5)p 874 1705
V 891 1705 V 330 w(4,692)p 1340 1705 V 211 w(8,746,235)p
1860 1705 V 334 w(908,922)p 2442 1705 V 302 w(1,108,673)p
3052 1705 V 424 w(460,974)p 3725 1705 V 171 1797 V 257
1769 a(2)p 378 1797 V 153 w(3/6)h({)f(3/10)p 874 1797
V 891 1797 V 311 w(4,397)p 1340 1797 V 173 w(10,020,038)p
1860 1797 V 334 w(918,520)p 2442 1797 V 302 w(1,184,953)p
3052 1797 V 424 w(435,874)p 3725 1797 V 171 1888 V 257
1861 a(3)p 378 1888 V 134 w(3/11)h({)f(3/15)p 874 1888
V 891 1888 V 292 w(3,885)p 1340 1888 V 211 w(9,557,035)p
1860 1888 V 334 w(877,600)p 2442 1888 V 302 w(1,066,794)p
3052 1888 V 424 w(419,411)p 3725 1888 V 171 1979 V 257
1952 a(4)p 378 1979 V 134 w(3/16)h({)f(3/20)p 874 1979
V 891 1979 V 292 w(3,559)p 1340 1979 V 173 w(10,799,077)p
1860 1979 V 334 w(874,036)p 2442 1979 V 302 w(5,474,660)p
3052 1979 V 424 w(682,291)p 3725 1979 V 171 2071 V 257
2043 a(5)p 378 2071 V 134 w(3/21)h({)f(3/25)p 874 2071
V 891 2071 V 292 w(3,108)p 1340 2071 V 211 w(9,582,559)p
1860 2071 V 334 w(708,496)p 2442 2071 V 302 w(5,560,798)p
3052 2071 V 424 w(562,590)p 3725 2071 V 173 2074 3554
4 v 843 2217 a Fe(T)-7 b(able)28 b(2.)h Fg(Song)d(\014les)g(and)f
(transfers)i(recorded)f(from)f(Gn)n(utella)i(clien)n(ts.)-72
2481 y Fh(Gn)n(utella)f(net)n(w)n(ork.)38 b(The)28 b(large)e(amoun)n(t)
h(of)h(data)g(w)n(e)g(gath-)-72 2580 y(ered)i(w)n(as)f(analyzed)f(to)j
(pro)r(duce)f(the)g(results)f(describ)r(ed)g(in)-72 2680
y(Section)e(5.)-72 2881 y Fj(3.1.)32 b(File)j(List)f(Collection)-72
3027 y Fh(In)g(order)f(to)h(record)e(the)i(\014le)f(lists)f(of)i(users)
f(from)g(the)h(t)n(w)n(o)-72 3127 y(P2P)d(net)n(w)n(orks,)g(w)n(e)h
(\014rst)g(disco)n(v)n(ered)d(a)j(large)d(set)j(of)g(users)-72
3227 y(on)22 b(the)h(net)n(w)n(ork.)34 b(W)-7 b(e)23
b(then)g(p)r(erio)r(dically)18 b(prob)r(ed)k(eac)n(h)g(user)-72
3326 y(for)34 b(their)g(list)f(of)i(\014les,)g(if)f(the)h(no)r(de)g(w)n
(as)f(a)n(v)-5 b(ailable)30 b(at)35 b(the)-72 3426 y(time.)e(Eac)n(h)18
b(\014le)h(list)f(w)n(as)h(stored)g(with)h(an)f(asso)r(ciated)f(times-)
-72 3525 y(tamp)30 b(and)h(user)f(iden)n(ti\014cation.)44
b(Sp)r(eci\014cs)31 b(as)f(to)h(ho)n(w)f(this)-72 3625
y(w)n(as)e(done)g(with)h(eac)n(h)f(of)g(the)i(t)n(w)n(o)e(net)n(w)n
(orks)f(are)h(describ)r(ed)-72 3725 y(brie\015y)e(in)h(the)h(follo)n
(wing)c(subsections.)42 3962 y Fj(4.)32 b(EXPERIMENT)i(METHODOLOGY)-72
4114 y Fh(This)27 b(pap)r(er)h(describ)r(es)f(the)i(analysis)c(of)j(t)n
(w)n(o)f(measuremen)n(t)-72 4214 y(exp)r(erimen)n(ts.)42
b(In)30 b(the)g(\014rst)g(exp)r(erimen)n(t,)f(w)n(e)g(recorded)g(the)
-72 4313 y(\014les)21 b(do)n(wnloaded)e(b)n(y)j(Napster)f(and)g(Gn)n
(utella)f(users.)34 b(In)22 b(the)-72 4413 y(second)34
b(exp)r(erimen)n(t,)g(w)n(e)h(measured)d(the)j(amoun)n(t)e(of)i(time)
-72 4512 y(no)r(des)40 b(w)n(ere)f(a)n(v)-5 b(ailable)35
b(in)k(the)h(Gn)n(utella)e(net)n(w)n(ork.)72 b(This)-72
4612 y(section)18 b(describ)r(es)f(the)i(metho)r(dology)d(of)j(b)r(oth)
h(exp)r(erimen)n(ts.)-72 4814 y Fj(4.1.)32 b(File)j(List)f(Collection)
-72 4959 y Fh(In)g(order)f(to)h(record)e(the)i(\014le)f(lists)f(of)i
(users)f(from)g(the)h(t)n(w)n(o)-72 5059 y(P2P)e(net)n(w)n(orks,)i(w)n
(e)g(\014rst)g(had)f(to)h(disco)n(v)n(er)d(a)j(set)f(of)h(users)-72
5159 y(on)k(the)h(net)n(w)n(ork.)68 b(Then,)41 b(w)n(e)d(w)n(ould)f(p)r
(erio)r(dically)d(prob)r(e)-72 5258 y(eac)n(h)25 b(user)h(for)g(their)f
(list)f(of)j(\014les)e(if)h(the)g(no)r(de)g(w)n(as)g(a)n(v)-5
b(ailable)1977 2481 y(at)34 b(the)f(time.)53 b(Eac)n(h)32
b(\014le)h(list)e(w)n(as)i(stored)f(with)h(an)g(asso)r(ci-)1977
2580 y(ated)26 b(timestamp)e(and)i(user)f(iden)n(ti\014cation.)33
b(Sp)r(eci\014cs)26 b(as)f(to)1977 2680 y(ho)n(w)32 b(this)f(w)n(as)g
(done)h(with)f(eac)n(h)g(of)h(the)g(t)n(w)n(o)g(net)n(w)n(orks)e(are)
1977 2780 y(describ)r(ed)d(brie\015y)f(in)h(the)h(follo)n(wing)23
b(subsections.)2060 2908 y(The)37 b(large)d(amoun)n(t)h(of)i(data)f
(gathered)f(from)g(this)h(part)1977 3008 y(of)28 b(the)f(exp)r(erimen)n
(t)e(w)n(as)i(analyzed)e(to)i(pro)r(duce)g(the)g(results)1977
3107 y(describ)r(ed)g(in)g(Section)f(5.)2060 3236 y(Replicas)37
b(of)i(a)f(\014le)g(in)h(a)f(P2P)g(system)f(are)h(usually)f(re-)1977
3336 y(named)31 b(b)n(y)g(users)f(according)f(to)i(their)f(preference.)
48 b(There-)1977 3435 y(fore,)31 b(to)g(map)e(those)h(replicas)e(with)i
(di\013eren)n(t)g(\014lenames)e(to)1977 3535 y(an)23
b(original)c(\014le,)k(w)n(e)g(shortened)g(names)e(to)j(signatures.)33
b(Our)1977 3634 y(shortening)27 b(pro)r(cess)h(generated)f(a)h
(signature)f(from)g(a)i(giv)n(en)1977 3734 y(\014le)e(name)g(as)f
(follo)n(ws:)2037 3908 y(1.)41 b(Drop)28 b(stop)f(w)n(ords,)f(e.g.,)i
(\\and")e(and)h(\\the".)2037 4064 y(2.)41 b(T)-7 b(ak)n(e)68
b(out)h(immediately)64 b(rep)r(eated)k(letters)g(\(e.g.,)2143
4163 y(\\collins")24 b(b)r(ecomes)i(\\colins"\).)2037
4319 y(3.)41 b(Drop)28 b(v)n(o)n(w)n(els.)2037 4474 y(4.)41
b(Con)n(v)n(ert)h(an)n(y)h(non-alphan)n(umeric)c(c)n(haracter)i(in)n
(to)h(a)2143 4574 y(space.)2037 4729 y(5.)f(Condense)27
b(and)h(drop)f(leading)e(white)i(space.)2037 4885 y(6.)41
b(Sort)32 b(the)g(space-delimited)27 b(name)j(to)i(obtain)e(a)h(signa-)
2143 4985 y(ture.)1977 5159 y(W)-7 b(e)38 b(considered)d(the)i(set)g
(of)g(\014les)f(with)g(same)f(signature)g(a)1977 5258
y(replica)25 b(set)j(of)f(a)g(\014le.)1915 5507 y(3)p
eop
%%Page: 4 4
4 3 bop -72 144 a Fd(4.1.1.)26 b(Napster)32 b(Collection)e(Details)-72
278 y Fh(Our)25 b(Napster)g(measuremen)n(ts)e(to)r(ok)i(place)f(from)h
(Decem)n(b)r(er)-72 378 y(21,)32 b(2000)f(un)n(til)f(F)-7
b(ebruary)31 b(3,)i(2001)e(\(including)e(a)j(four-da)n(y)-72
478 y(break\).)j(During)21 b(this)h(time,)h(w)n(e)f(recorded)g(the)h
(\014les)f(of)h(thou-)-72 577 y(sands)k(of)g(users)g(and)g(h)n(undreds)
g(of)g(thousands)g(of)h(transfers.)-72 677 y(T)-7 b(able)26
b(1)h(sho)n(ws)g(more)f(details.)11 807 y(Note)j(that)g(these)g(dates)f
(are)g(prior)f(to)h(legal)e(rulings)g(that)-72 907 y(forced)39
b(Napster)f(to)h(\014lter)f(out)h(cop)n(yrigh)n(ted)e(con)n(ten)n(t)i
(and)-72 1006 y(resulted)32 b(in)h(users)g(altering)d(\014lenames)h
(arti\014cially)-7 b(.)50 b(While)-72 1106 y(this)26
b(initial)d(exp)r(erimen)n(t)h(w)n(as)h(not)i(executed)f(as)g(w)n(ell)e
(as)i(our)-72 1206 y(subsequen)n(t)j(measuremen)n(ts)d(of)j(Gn)n
(utella,)f(w)n(e)h(analyze)e(the)-72 1305 y(data)39 b(b)r(ecause)g(it)g
(is)g(no)g(longer)e(p)r(ossible)g(to)j(collect)d(suc)n(h)-72
1405 y(data)d(from)e(Napster.)56 b(Ho)n(w)n(ev)n(er,)34
b(w)n(e)f(w)n(ere)g(pleased)g(to)h(see)-72 1504 y(that)22
b(man)n(y)e(of)i(the)g(results)e(matc)n(h)h(w)n(ell)e(with)i(data)h
(collected)-72 1604 y(a)27 b(y)n(ear)f(later)g(from)h(the)g(Gn)n
(utella)f(net)n(w)n(ork.)11 1734 y(W)-7 b(e)40 b(connected)f(to)g(the)h
(Napster)f(serv)n(er)e(from)h(a)h(clien)n(t)-72 1834
y(that)h(w)n(e)g(wrote)g(based)f(on)h(the)h(Napster)f(proto)r(col)e(sp)
r(eci-)-72 1934 y(\014cation.)220 1903 y Ff(6)360 1934
y Fh(Our)f(clien)n(t)f(con)n(tin)n(uously)e(submitted)j(searc)n(h)-72
2033 y(requests)d(using)f(random)f(w)n(ords)h(pic)n(k)n(ed)g(from)g(an)
h(English)-72 2133 y(dictionary)j(\014le.)72 b(When)40
b(the)g(results)e(returned)h(from)f(the)-72 2232 y(serv)n(er,)30
b(w)n(e)h(w)n(ere)g(able)f(to)h(determine)e(a)i(large)e(list)g(of)i
(users)-72 2332 y(a)n(v)-5 b(ailable)30 b(on)35 b(the)g(net)n(w)n(ork.)
57 b(As)35 b(w)n(e)f(disco)n(v)n(ered)e(user)i(IDs)-72
2432 y(for)26 b(the)h(\014rst)f(time,)g(w)n(e)g(added)g(these)h(names)e
(to)h(a)h(database)-72 2531 y(main)n(tained)18 b(throughout)j(the)g
(exp)r(erimen)n(t.)33 b(Another)21 b(clien)n(t)-72 2631
y(cycled)31 b(through)g(the)h(database's)e(list)g(of)i(users)f(and)g
(sen)n(t)h(a)-72 2731 y Fi(br)l(owse)25 b Fh(message)d(to)i(the)g(serv)
n(er)f(to)h(retriev)n(e)e(eac)n(h)h(user's)g(\014le)-72
2830 y(list,)d(whic)n(h)g(w)n(ould)f(succeed)i(only)e(if)h(that)h(user)
f(w)n(as)g(online)f(at)-72 2930 y(the)29 b(time.)39 b(The)29
b(\014le)f(lists)e(w)n(ere)i(stored)g(with)g(an)h(asso)r(ciated)-72
3029 y(timestamp)c(for)i(later)f(analysis,)e(presen)n(ted)j(in)g
(section)f(5.)-72 3187 y Fd(4.1.2.)g(Gn)m(utella)32 b(Collection)e
(Details)-72 3321 y Fh(W)-7 b(e)33 b(collected)d(\014le)i(lists)f(from)
g(sev)n(eral)f(thousand)i(Gn)n(utella)-72 3420 y(users)39
b(from)f(F)-7 b(ebruary)38 b(24,)k(2002)c(un)n(til)g(Marc)n(h)g(25,)k
(2002.)-72 3520 y(Sp)r(eci\014c)50 b(details)f(are)g(sho)n(wn)h(in)g(T)
-7 b(able)50 b(2.)105 b(W)-7 b(e)52 b(mo)r(di-)-72 3620
y(\014ed)e(the)h(JT)-7 b(ella)47 b(API)692 3589 y Ff(8)779
3620 y Fh(to)j(create)f(a)h(custom)f(measure-)-72 3719
y(men)n(t)37 b(program.)64 b(The)38 b(program)d(created)i(a)g(list)f
(of)i(a)n(v)-5 b(ail-)-72 3819 y(able)21 b(no)r(des)i(b)n(y)f
(connecting)g(to)g(an)h(\\alw)n(a)n(ys-up")c(no)r(de)j(\(e.g.,)-72
3918 y(router.limewire.com)o(\).)30 b(This)21 b(no)r(de)h(is)f
(actually)f(resolv)n(ed)g(to)-72 4018 y(a)32 b(random)e(no)r(de)i(that)
g(happ)r(ens)g(to)g(b)r(e)h(online)d(at)i(the)g(mo-)-72
4118 y(men)n(t.)72 b(Our)39 b(clien)n(t)e(learns)h(ab)r(out)h(other)g
(Gn)n(utella)f(p)r(eers)-72 4217 y(through)30 b(Ping/P)n(ong)c
(messages)h(and)k(ev)n(en)n(tually)c(connects)-72 4317
y(to)g(a)h(\014xed)f(n)n(um)n(b)r(er)g(of)g(other)g(no)r(des)h(as)f
Fi(friends)p Fh(.)11 4447 y(Our)k(program)e(examined)h(QueryHit)h
(messages)e(as)i(they)-72 4547 y(w)n(ere)i(routed)h(from)e(neigh)n(b)r
(ors.)54 b(These)34 b(messages)d(con)n(tain)-72 4646
y(iden)n(tifying)c(information)f(ab)r(out)j(other)h(no)r(des)f(on)g
(the)h(net-)-72 4746 y(w)n(ork,)38 b(suc)n(h)f(as)f(their)g(GUID,)j(IP)
d(address,)j(and)d(listening)-72 4846 y(p)r(ort.)68 b(W)-7
b(e)38 b(uniquely)e(iden)n(ti\014ed)h(no)r(des)h(b)n(y)f(their)g(IP-p)r
(ort)-72 4945 y(pair)73 4915 y Fc(\003)109 4945 y Fh(.)k(As)28
b(eac)n(h)g(IP-p)r(ort)g(pair)f(w)n(as)h(examined,)e(kno)n(wn)i(un-)-72
5045 y(routable)e(IPs)376 5015 y Ff(9)440 5045 y Fh(w)n(ere)g
(discarded)g(from)g(our)g(list,)g(since)g(these)p -72
5090 787 4 v 30 5135 a Fb(\003)66 5167 y Fg(Using)19
b(GUIDs)f(to)h(iden)n(tify)g(no)r(des)g(migh)n(t)f(seem)g(more)h
(appro-)-72 5258 y(priate,)30 b(but)e(the)h(Gn)n(utella)g(proto)r(col)i
(do)r(es)e(not)g(allo)n(w)h(messages)1977 144 y Fh(w)n(ould)h(b)r(e)i
(imp)r(ossible)28 b(to)k(con)n(tact)f(directly)f(for)i(\014le)f(trans-)
1977 244 y(fers.)k(W)-7 b(e)22 b(could)f(ha)n(v)n(e)g(used)h(the)g(Gn)n
(utella)e(push)i(proto)r(col)e(to)1977 344 y(initiate)30
b(transfers,)j(ho)n(w)n(ev)n(er,)e(this)h(w)n(ould)f(ha)n(v)n(e)g(tak)n
(en)h(to)r(o)1977 443 y(m)n(uc)n(h)27 b(time)f(giv)n(en)g(the)i(n)n(um)
n(b)r(er)e(of)i(users)e(w)n(e)h(monitored.)2060 586 y(Since)36
b(only)f(some)g(Gn)n(utella)g(clien)n(ts)g(allo)n(w)e(their)j(users')
1977 685 y(\014le)26 b(lists)f(to)i(b)r(e)g(retriev)n(ed,)d(w)n(e)j(fo)
r(cused)g(our)f(exp)r(erimen)n(t)e(on)1977 785 y(t)n(w)n(o)30
b(of)h(the)g(most)e(p)r(opular)g(clien)n(ts)g(that)i(allo)n(w)d(this,)i
(Bear-)1977 884 y(share)c(and)i(Sw)n(apNut.)36 b(By)27
b(sending)f(an)h(HTTP)g(request)g(di-)1977 984 y(rectly)f(to)i(these)f
(clien)n(ts)f(on)h(their)f(listening)f(Gn)n(utella)g(p)r(ort,)1977
1084 y(w)n(e)k(obtain)f(an)h(HTML)g(page)f(listing)e(ev)n(ery)i(\014le)
h(the)g(p)r(eer)g(is)1977 1183 y(sharing.)k(This)22 b(HTML)h(do)r
(cumen)n(t)f(is)g(parsed)g(and)h(stored)f(in)1977 1283
y(a)i(database)e(that)j(asso)r(ciates)c(the)j(user)f(with)h(eac)n(h)f
(\014le)g(listed)1977 1383 y(and)28 b(its)f(resp)r(ectiv)n(e)f(\014le)h
(size,)f(along)g(with)h(a)h(timestamp)d(in-)1977 1482
y(dicating)h(when)h(this)g(\014le)g(list)f(w)n(as)g(obtained.)2060
1624 y(Once)33 b(w)n(e)g(obtained)f(a)g(list)g(of)h(20,000)e(kno)n(wn)h
(p)r(eers,)i(w)n(e)1977 1724 y(p)r(erio)r(dically)26
b(collected)j(information)e(ab)r(out)k(the)g(\014les)f(they)1977
1824 y(w)n(ere)25 b(sharing.)34 b(F)-7 b(rom)24 b(this)h(data,)h(w)n(e)
f(could)g(infer)f(o)n(v)n(er)g(time)1977 1923 y(whic)n(h)j(\014les)f
(they)i(ha)n(v)n(e)f(do)n(wnloaded.)2060 2065 y(In)i(our)f(exp)r
(erimen)n(t,)f(w)n(e)h(cycled)g(through)g(the)h(static)f(list)1977
2165 y(of)f(kno)n(wn)f(p)r(eers,)h(trying)e(to)i(obtain)f(the)h(\014le)
f(list)f(from)h(eac)n(h)1977 2265 y(one)20 b(of)f(them.)34
b(Eac)n(h)18 b(cycle)h(where)g(w)n(e)g(attempted)g(to)h(con)n(tact)1977
2364 y(eac)n(h)29 b(p)r(eer)h(to)r(ok)g(appro)n(ximately)25
b(three)k(to)h(four)g(hours)f(due)1977 2464 y(to)f(the)g(size)e(of)i
(our)f(p)r(eer)g(list)f(and)h(the)h(hardw)n(are)e(w)n(e)h(used.)1977
2667 y Fj(4.2.)32 b(No)s(de)j(Av)-6 b(ailabilit)m(y)1977
2813 y Fh(T)f(o)31 b(study)h(no)r(de)f(a)n(v)-5 b(ailabilit)n(y)e(,)27
b(w)n(e)k(gathered)f(a)h(\014xed)g(list)f(of)1977 2913
y(no)r(des)41 b(b)n(y)f(trac)n(king)e(Gn)n(utella)g(net)n(w)n(ork)h
(tra\016c.)75 b(W)-7 b(e)40 b(ex-)1977 3012 y(tended)e(the)f(JT)-7
b(ella)35 b(API)2818 2982 y Ff(8)2892 3012 y Fh(to)i(create)f(a)h
(custom)f(Gn)n(utella)1977 3112 y(clien)n(t)31 b(that)j(extracted)e(IP)
g(address)g(and)h(p)r(ort)f(n)n(um)n(b)r(er)g(in-)1977
3211 y(formation)17 b(from)i(all)f(QueryHit)g(messages)f(that)j(w)n
(ere)f(routed)1977 3311 y(through)34 b(our)g(clien)n(t)e(as)i(part)g
(of)g(normal)e(Gn)n(utella)g(op)r(era-)1977 3411 y(tion.)45
b(In)31 b(our)f(exp)r(erimen)n(t,)f(w)n(e)h(collected)f(observ)n(ed)g
(Query)1977 3510 y(and)37 b(QueryHit)f(messages.)62 b(Query)35
b(messages)g(can)h(re\015ect)1977 3610 y(the)49 b(p)r(opularit)n(y)d
(of)j(searc)n(h)e(w)n(ords,)52 b(though)c(w)n(e)h(do)f(not)1977
3710 y(presen)n(t)27 b(that)h(analysis)c(here.)2060 3852
y(Once)i(w)n(e)g(collected)e(a)i(no)r(de's)h(IP)f(address,)f(w)n(e)h
(no)g(longer)1977 3951 y(needed)36 b(the)f(Gn)n(utella)e(or)h(HTTP)h
(proto)r(cols.)57 b(W)-7 b(e)36 b(simply)1977 4051 y(attempted)d(to)g
(con)n(tact)f(a)h(no)r(de)g(b)n(y)g(op)r(ening)e(a)i(TCP)g(con-)1977
4151 y(nection.)49 b(T)-7 b(o)32 b(quic)n(kly)d(initiate)h(and)h(close)
g(a)g(TCP)h(connec-)1977 4250 y(tion,)25 b(w)n(e)g(created)f(a)h
Fi(tr)l(acking)j(manager)e Fh(whic)n(h)f(used)g(nmap,)1977
4350 y(a)e(customizable)d(UNIX)k(administrativ)n(e)18
b(to)r(ol)k(used)h(for)g(p)r(ort)1977 4450 y(scanning.)36
b(W)-7 b(e)28 b(set)g(the)g(maxim)n(um)c(timeout)i(and)h(the)i(R)-7
b(TT)1977 4549 y(v)i(alue)19 b(to)g(\014v)n(e)h(seconds,)g(a)f(v)-5
b(alue)19 b(that)h(is)e(small)f(enough)i(to)g(cy-)1977
4649 y(cle)h(through)g(the)i(list)d(in)h(a)g(relativ)n(ely)d(short)j
(time)f(p)r(erio)r(d)h(but)1977 4748 y(large)28 b(enough)i(to)g(allo)n
(w)d(su\016cien)n(t)i(time)f(for)i(TCP)g(connec-)1977
4848 y(tion)25 b(set)g(up)g(to)g(o)r(ccur)g(if)f(the)i(no)r(de)f(is)f
(online.)34 b(Our)24 b(trac)n(king)p 1977 4908 V 1977
4984 a Fg(to)g(b)r(e)e(routed)h(to)g(no)r(des)h(solely)g(based)f(on)g
(the)f(GUID)h(of)g(the)g(des-)1977 5076 y(tination.)44
b(Also,)30 b(the)f(GUID)e(in)i(practice)g(is)g(not)g(guaran)n(teed)f
(to)1977 5167 y(b)r(e)d(globally)h(unique,)e(nor)h(is)g(it)g(guaran)n
(teed)f(to)h(remain)f(\014xed)g(for)1977 5258 y(subsequen)n(t)h
(sessions)i(of)g(the)e(same)g(clien)n(t.)1915 5507 y
Fh(4)p eop
%%Page: 5 5
5 4 bop -72 144 a Fh(manager)19 b(cycled)i(through)g(a)g(list)f(of)h
(no)r(de)h(IP)f(addresses)g(and)-72 244 y(p)r(ort)j(n)n(um)n(b)r(ers.)
34 b(F)-7 b(or)24 b(eac)n(h)g Fi(cycle)p Fh(,)i(nmap)d(determined)g
(whic)n(h)-72 344 y(of)28 b(three)f(states)g(eac)n(h)g(no)r(de)h(w)n
(as)e(in:)11 567 y Fa(\017)41 b Fi(Up)34 b Fh(-)g(A)h(no)r(de)f
(accepts)g(our)f(incoming)e(TCP)i(connec-)94 666 y(tion,)27
b(meaning)e(the)j(no)r(de)f(is)g Fi(available)p Fh(.)11
846 y Fa(\017)41 b Fi(Close)l(d)23 b Fh(-)e(A)h(no)r(de)g(is)f(resp)r
(onding)e(to)j(our)f(prob)r(e,)h(but)g(its)94 945 y(listening)31
b(p)r(ort)j(is)e(not)i(accepting)f(TCP)g(connections,)94
1045 y(meaning)j(the)j(no)r(de)g(is)e(not)i(curren)n(tly)d(connected)j
(to)94 1144 y(Gn)n(utella;)26 b(th)n(us,)h(the)h(no)r(de)g(is)f(not)g
(a)n(v)-5 b(ailable.)11 1324 y Fa(\017)41 b Fi(Down)20
b Fh(-)g(W)-7 b(e)20 b(are)f(not)g(able)g(to)h(create)f(a)g(route)g(to)
h(a)f(no)r(de,)94 1423 y(meaning)38 b(the)i(clien)n(t)e(is)h(either)g
(to)r(o)h(busy)g(to)g(handle)94 1523 y(more)e(requests)h(or)f(the)i(no)
r(de)g(is)e(disconnected)h(from)94 1623 y(the)28 b(In)n(ternet;)g(th)n
(us,)f(the)h(no)r(de)g(is)e(not)i(a)n(v)-5 b(ailable.)11
1846 y(W)e(e)34 b(considered)e(the)i Fi(Down)g Fh(state)f(as)g(not)h(a)
n(v)-5 b(ailable)29 b(b)r(e-)-72 1945 y(cause)k(ev)n(en)g(if)g(a)g(no)r
(de)h(is)e(running)g(a)i(Gn)n(utella)d(clien)n(t)h(but)-72
2045 y(do)r(es)38 b(not)g(accept)f(an)n(y)g(more)g(connections,)h(it)g
(cannot)f(re-)-72 2144 y(sp)r(ond)26 b(to)f(messages)e(from)h(other)h
(no)r(des,)h(meaning)d(it)i(is)f(un-)-72 2244 y(a)n(v)-5
b(ailable)23 b(to)28 b(other)f(no)r(des)g(wishing)e(to)j(do)n(wnload)d
(\014les.)11 2394 y(Using)h(a)g(single)f(pro)r(cess)h(to)g(cycle)g
(through)g(a)h(large)d(no)r(de)-72 2493 y(list)31 b(w)n(ould)h(not)i
(allo)n(w)c(us)j(to)g(trac)n(k)f(eac)n(h)g(no)r(de)i(frequen)n(tly)-72
2593 y(enough.)h(Therefore,)23 b(to)h(e\013ectiv)n(ely)d(trac)n(k)i(a)g
(large)f(no)r(de)h(set)-72 2693 y(with)i(a)f(relativ)n(ely)d(small)h
(time)i(in)n(terv)-5 b(al,)23 b(w)n(e)i(use)g(a)g(script)f(to)-72
2792 y(spa)n(wn)29 b(a)h(new)g(trac)n(king)e(manager)g(ev)n(ery)h(10)g
(min)n(utes)f(that)-72 2892 y(cycles)37 b(through)i(the)g(no)r(de)g
(list)f(once.)70 b(Th)n(us,)42 b(eac)n(h)c(no)r(de)-72
2992 y(w)n(as)25 b(trac)n(k)n(ed)f(appro)n(ximately)d(ev)n(ery)k(10)g
(min)n(utes,)f(but)j(with)-72 3091 y(some)18 b(sligh)n(t)f
(inconsistency)h(dep)r(ending)h(on)g(net)n(w)n(ork)f(dela)n(ys.)11
3241 y(Moreo)n(v)n(er,)43 b(immediately)38 b(after)k(w)n(e)g(disco)n(v)
n(ered)d(a)j(new)-72 3341 y(no)r(de)36 b(during)e(the)i(no)r(de)f
(collection)d(pro)r(cess,)k(that)g(partic-)-72 3440 y(ular)21
b(no)r(de)i(w)n(as)f(prob)r(ed)h(immediately)18 b(so)k(that)i(the)f
(trac)n(king)-72 3540 y(dela)n(y)g(that)i(results)e(from)g(the)i(no)r
(de)f(collection)d(pro)r(cess)i(w)n(as)-72 3640 y(eliminated,)k(whic)n
(h)i(pro)n(vides)f(us)i(with)f(some)g(base)g(data)h(to)-72
3739 y(compare)25 b(the)j(rest)f(of)h(the)g(exp)r(erimen)n(t)d(with.)11
3889 y(W)-7 b(e)28 b(conducted)g(our)f(exp)r(erimen)n(t)e(from)i(Marc)n
(h)f(28th)h(un-)-72 3989 y(til)35 b(Ma)n(y)g(5th)i(without)e(in)n
(terruption)f(and)i(collected)e(5,000)-72 4088 y(cycles)26
b(of)i(data)f(for)g(5,000)f(no)r(des.)590 4342 y Fj(5.)32
b(ANAL)-9 b(YSIS)-72 4506 y(5.1.)32 b(File)j(T)-9 b(ransfer)35
b(Lo)s(calit)m(y)-72 4661 y Fh(Sev)n(eral)h(previous)g(w)n(orks)h(ha)n
(v)n(e)g(analyzed)g(the)i(lo)r(calit)n(y)34 b(of)-72
4760 y(accesses)29 b(to)h(w)n(eb)h(pro)n(xies)d(and)i(serv)n(ers,)f
(commonly)e(\014tting)-72 4860 y(access)43 b(patterns)h(to)g(sk)n(ew)n
(ed)f(distributions)e(\(e.g.,)49 b(p)r(o)n(w)n(er)-72
4959 y(la)n(ws)85 4929 y Ff(10)153 4959 y Fh(\).)67 b(These)37
b(sk)n(ew)n(ed)f(distributions)e(are)j(easily)d(tak)n(en)-72
5059 y(adv)-5 b(an)n(tage)23 b(of)i(b)n(y)f(w)n(eb)g(cac)n(hes)g(for)g
(impro)n(v)n(ed)d(p)r(erformance.)-72 5159 y(W)-7 b(e)47
b(also)e(found)i(a)g(hea)n(vily)d(sk)n(ew)n(ed)i(\014le)g(p)r(opularit)
n(y)e(for)-72 5258 y(Gn)n(utella)f(and)i(Napster.)88
b(Our)45 b(analysis)c(indicates)i(that)1977 144 y(cac)n(hes)32
b(for)g(a)g(group)f(of)i(users)e(\(e.g.,)j(collo)r(cated)29
b(on)k(a)f(uni-)1977 244 y(v)n(ersit)n(y)h(campus\))h(should)g(b)r(e)h
(an)g(e\013ectiv)n(e)f(metho)r(d)h(of)g(in-)1977 344
y(creasing)25 b(the)j(p)r(erformance)e(of)h(P2P)g(applications.)2060
471 y(One)44 b(w)n(ould)e(exp)r(ect)i(that)g(applications)c(lik)n(e)i
(Gn)n(utella)1977 570 y(w)n(ould)23 b(b)r(e)i(\\self-cac)n(hing",)20
b(in)k(that)g(as)g(a)f(\014le)h(b)r(ecomes)f(more)1977
670 y(p)r(opular,)35 b(more)d(no)r(des)i(will)d(store)i(it.)56
b(One)34 b(w)n(ould)f(exp)r(ect)1977 770 y(that)24 b(the)g(widespread)d
(app)r(earance)h(of)h(a)g(\014le)f(is)g(lik)n(ely)e(to)j(im-)1977
869 y(pro)n(v)n(e)33 b(the)i(a)n(v)n(erage)c(transfer)j(time)f(of)h
(users)f(do)n(wnloading)1977 969 y(the)22 b(\014le.)34
b(There)21 b(are)f(sev)n(eral)e(reasons)i(this)g(ma)n(y)g(not)h(b)r(e)h
(true.)2060 1096 y(The)k(application-lev)n(el)18 b(TTL)25
b(\014elds)g(limit)d(the)j(scop)r(e)g(of)g(a)1977 1196
y(broadcast)17 b(query)h(in)g(Gn)n(utella)e(to)i(p)r(eers)g(closer)f
(in)g(the)i(top)r(ol-)1977 1295 y(ogy)-7 b(.)49 b(Ho)n(w)n(ev)n(er,)31
b(the)h(application-lev)n(el)26 b(top)r(ology)j(of)j(exist-)1977
1395 y(ing)23 b(P2P)f(applications)d(do)r(es)k(not)h(follo)n(w)d(the)i
(underlying)e(IP)1977 1495 y(net)n(w)n(ork)35 b(top)r(ology.)2641
1464 y Ff(1)2776 1495 y Fh(F)-7 b(or)36 b(this)f(reason,)i(adjacen)n(t)
f(no)r(des)1977 1594 y(are)k(not)h(necessarily)c(close;)45
b(less)40 b(can)g(b)r(e)h(exp)r(ected)g(from)1977 1694
y(a)e(neigh)n(b)r(or's)e(neigh)n(b)r(or,)i(and)g(so)g(on.)70
b(Second,)42 b(Gn)n(utella)1977 1793 y(clien)n(ts)23
b(ha)n(v)n(e)h(no)g(sophisticated)e(metho)r(d)j(of)f(directing)f(users)
1977 1893 y(to)33 b(the)g(b)r(est)g(of)g(sev)n(eral)d(p)r(eers)i(all)f
(disco)n(v)n(ered)e(to)k(b)r(e)g(shar-)1977 1993 y(ing)c(the)i(same)d
(\014le.)44 b(Serv)n(er)28 b(selection)g(metho)r(ds)h(ha)n(v)n(e)g(b)r
(een)1977 2092 y(extensiv)n(ely)23 b(researc)n(hed)g(\(Hanna)j(et)f
(al.)3281 2062 y Ff(11)3376 2092 y Fh(pro)n(vides)e(a)h(go)r(o)r(d)1977
2192 y(o)n(v)n(erview)29 b(of)i(suc)n(h)f(researc)n(h\),)h(but)h
(applying)c(these)j(results)1977 2292 y(to)25 b(p)r(eer-to-p)r(eer)e
(net)n(w)n(orks)f(is)i(not)g(trivial.)32 b(Simple)22
b(pings)h(to)1977 2391 y(di\013eren)n(tiate)34 b(p)r(eers)h(is)f(a)h(p)
r(o)r(or)f(measure,)3360 2361 y Ff(11)3502 2391 y Fh(and)h(the)h(lo)n
(w)1977 2491 y(o)r(ccurrence)26 b(of)g(p)r(eer)h(a)n(v)-5
b(ailabili)o(t)n(y)21 b(\(as)26 b(w)n(e)g(sho)n(w)g(in)g(the)h(next)
1977 2590 y(section\))32 b(do)r(es)g(not)g(mak)n(e)f(it)h(w)n(orth)n
(while)d(to)k(p)r(erform)e(net-)1977 2690 y(w)n(ork)24
b(tests)i(on)f(eac)n(h)g(p)r(eer)g(that)g(are)g(more)e(costly)h
(\(e.g.,)i(hop)1977 2790 y(coun)n(ts)38 b(via)e(traceroute\).)67
b(T)-7 b(rac)n(king)36 b(the)i(past)g(history)e(of)1977
2889 y(eac)n(h)28 b(no)r(de)h(also)d(has)i(no)g(v)-5
b(alue)28 b(if)g(no)r(des)g(are)g(nev)n(er)f(seen)i(or)1977
2989 y(used)f(again.)2060 3116 y(By)36 b(main)n(taining)c(a)k(cac)n(he)
f(of)h(p)r(opular)f(songs)g(for)h(users)1977 3216 y(on)f(a)f(common)e
(in)n(tranet,)j(the)g(problem)d(of)j(p)r(eer)f(selection)1977
3315 y(is)29 b(remo)n(v)n(ed:)37 b(p)r(opular)28 b(songs)g(can)h(b)r(e)
g(do)n(wnloaded)e(quic)n(kly)1977 3415 y(from)22 b(the)h(cac)n(he)g
(without)f(testing)g(or)g(doubt.)36 b(F)-7 b(urthermore,)1977
3515 y(the)20 b(b)r(ene\014t)g(of)f(widely)e(shared)h(\014les)g(is)g
(hamp)r(ered)f(b)n(y)i(the)h(lo)n(w)1977 3614 y(a)n(v)-5
b(ailabilit)n(y)28 b(of)35 b(no)r(des.)56 b(W)-7 b(e)35
b(exp)r(ect)g(cac)n(hes)e(to)h(b)r(e)h(alw)n(a)n(ys)1977
3714 y(a)n(v)-5 b(ailable)15 b(to)k(all)e(lo)r(cal)g(users)h(and)h(con)
n(tain)e(the)j(most)d(p)r(opular)1977 3814 y(songs)27
b(for)g(quic)n(k)f(do)n(wnload.)2060 3941 y(T)-7 b(o)23
b(determine)f(the)h(e\013ectiv)n(eness)f(of)i(cac)n(hing)d(on)i(P2P)f
(\014le)1977 4040 y(systems,)31 b(w)n(e)f(\014rst)h(calculated)d(the)j
(lo)r(calit)n(y)c(of)k(transferred)1977 4140 y(\014les.)40
b(That)29 b(analysis)d(and)i(others)g(that)i(w)n(e)e(presen)n(t)g(in)h
(this)1977 4240 y(section)e(led)f(us)i(to)f(a)h(n)n(um)n(b)r(er)e(of)h
(conclusions.)34 b(In)28 b(sum,)2060 4408 y Fa(\017)41
b Fh(Stored)51 b(\014le)e(p)r(opularit)n(y)f(is)i(sk)n(ew)n(ed)f(and)i
(follo)n(ws)c(a)2143 4507 y(log-quadratic)38 b(distribution.)78
b(F)-7 b(or)42 b(stored)g(\014les,)i(the)2143 4607 y(highest-rank)n(ed)
38 b(10\045)h(of)h(\014les)e(accoun)n(ted)h(for)h(ab)r(out)2143
4706 y(50\045)27 b(of)h(the)g(total)e(n)n(um)n(b)r(er)h(of)g(stored)g
(\014les.)2060 4860 y Fa(\017)41 b Fh(File)24 b(transfers)g(ha)n(v)n(e)
f(a)i(sligh)n(tly)d(higher)h(lo)r(calit)n(y)e(of)k(ref-)2143
4959 y(erence)f(and)g(also)e(follo)n(w)f(a)j(log-quadratic)c
(distribution)2143 5059 y(closely)-7 b(.)33 b(The)23
b(highest-rank)n(ed)e(10\045)h(of)i(\014les)e(accoun)n(ted)2143
5159 y(for)31 b(ab)r(out)g(60\045)f(of)h(the)h(total)d(n)n(um)n(b)r(er)
h(of)h(transferred)2143 5258 y(\014les.)1915 5507 y(5)p
eop
%%Page: 6 6
6 5 bop -72 144 a Fd(5.1.1.)26 b(File)31 b(Lo)s(calit)m(y)-72
273 y Fh(Figure)40 b(1)i(sho)n(ws)e(the)j(cum)n(ulativ)n(e)38
b(p)r(ercen)n(tage)i(of)i(stored)-72 373 y(data)32 b(as)f(a)h(function)
g(of)g(\014les)f(rank)n(ed)g(b)n(y)h(their)f(p)r(opularit)n(y)-7
b(.)-72 473 y(The)38 b(graph)f(sho)n(ws)f(that)i(for)g(our)f(Napster)g
(and)g(Gn)n(utella)-72 572 y(exp)r(erimen)n(ts,)23 b(the)i(most)f(p)r
(opular)f(10\045)h(of)h(\014les)f(accoun)n(t)g(for)-72
672 y(ab)r(out)36 b(50\045)f(of)h(all)e(stored)h(data.)62
b(Files)34 b(w)n(e)i(found)g(stored)-72 772 y(on)g(the)g(Napster)f(net)
n(w)n(ork)g(demonstrate)f(similar)d(lo)r(calit)n(y)-7
b(.)-72 871 y(The)28 b(fact)g(that)g(the)g(measuremen)n(ts)d(w)n(ere)i
(recorded)f(almost)-72 971 y(a)d(y)n(ear)g(apart)f(on)i(t)n(w)n(o)f
(di\013eren)n(t)g(t)n(yp)r(es)g(of)h(P2P)e(applications)-72
1070 y(ga)n(v)n(e)34 b(us)h(con\014dence)h(that)f(the)h(curv)n(es)f
(are)f(p)r(erhaps)h(more)-72 1170 y(inheren)n(t)23 b(to)i(m)n(usic)d
(in)n(terests)h(of)i(users)e(than)i(to)g(the)g(c)n(harac-)-72
1270 y(teristics)g(of)j(the)g(applications.)11 1395 y(Figure)37
b(1)h(sho)n(ws)f(the)h(CDF)h(of)g(Napster)e(and)h(Gn)n(utella)-72
1495 y(stored)f(\014le)h(lo)r(calit)n(y)-7 b(.)65 b(The)38
b(PDF)h(of)f(\014le)f(lo)r(calit)n(y)e(of)j(eac)n(h)-72
1594 y(net)n(w)n(ork)24 b(is)h(sho)n(wn)g(in)g(Figure)f(2.)35
b(W)-7 b(e)26 b(used)g(Matlab's)e(least-)-72 1694 y(squares)f(curv)n
(e-\014tting)f(to)r(ols)h(to)i(\014nd)g(b)r(est)f(\014ts.)36
b(This)24 b(distri-)-72 1794 y(bution)30 b(do)r(es)h(not)g(easily)d
(\014t)k(a)e(Zipf)6 b('s)31 b(distribution,)e(as)h(has)-72
1893 y(b)r(een)38 b(observ)n(ed)f(for)g(other)g(cac)n(hing)f(systems.)
67 b(A)38 b(sligh)n(tly)-72 1993 y(curving)26 b(quadratic)f(b)r(etter)j
(\014ts)g(the)g(most)e(and)h(least)g(p)r(opu-)-72 2092
y(lar)c(\014les.)35 b(In)24 b(future)h(w)n(ork,)f(w)n(e)g(hop)r(e)h(to)
g(mo)r(del)d(and)j(explain)-72 2192 y(this)k(observ)n(ed)g(pro)r(cess)g
(more)f(carefully)-7 b(.)42 b(W)-7 b(e)31 b(are)e(not)h(sure)-72
2292 y(what)d(factor)g(has)g(in)n(tro)r(duced)f(scale)g(in)n(to)g(the)i
(distribution.)-72 2391 y(The)33 b(log-quadratic)d(distribution)g(sho)n
(wn,)k(and)f(the)h(others)-72 2491 y(w)n(e)28 b(sho)n(w)f(in)g(the)i
(pap)r(er,)f(are)f(easily)e(appro)n(ximated)f(b)n(y)k(t)n(w)n(o)-72
2591 y(Zipf)6 b('s)27 b(distributions,)e(whic)n(h)h(ma)n(y)g(b)r(e)i
(one)f(clue.)11 2716 y(Regardless)21 b(of)j(a)f(prop)r(er)g(\014t,)i
(the)f(sk)n(ew)n(ed)f(distribution)d(of)-72 2816 y(data)i(clearly)d
(predicts)i(that)h(cac)n(hing)e(w)n(ould)h(b)r(e)i(an)e(e\013ectiv)n(e)
-72 2915 y(metho)r(d)38 b(of)f(reducing)g(the)h(cost)g(of)g(P2P)e
(\014le)h(transfers)g(as)-72 3015 y(w)n(ell)25 b(as)i(impro)n(ving)d
(their)i(do)n(wnload)g(latency)g(from)g(remote)-72 3115
y(p)r(eers.)11 3240 y(Our)32 b(measuremen)n(ts)f(also)g(allo)n(w)n(ed)e
(us)34 b(to)f(infer)f(an)h(esti-)-72 3340 y(mate)d(of)h(\014le)g
(transfers)f(that)i(o)r(ccurred)e(during)f(that)j(w)n(eek.)-72
3439 y(Figures)44 b(3)h(and)h(4)f(sho)n(w)g(that)h(transferred)e
(\014les)h(exhibit)-72 3539 y(higher)17 b(lo)r(calit)n(y)e(than)j
(stored)g(\014les.)33 b(Again,)18 b(the)h(distribution)-72
3638 y(exhibits)24 b(scale)f(and)j(is)e(b)r(est)i(\014t)g(with)f(a)g
(log-quadratic)c(func-)-72 3738 y(tion.)66 b(A)37 b(Zipf)6
b('s)38 b(distribution)c(is)i(sho)n(wn)h(for)g(comparison.)-72
3838 y(W)-7 b(e)31 b(b)r(eliev)n(e)d(the)i(lo)n(w)n(er)e(lo)r(calit)n
(y)e(w)n(e)k(observ)n(ed)e(for)i(Napster)-72 3937 y(is)c(due)i(mostly)e
(to)h(ho)n(w)g(infrequen)n(tly)e(w)n(e)j(con)n(tacted)f(users.)11
4063 y(W)-7 b(e)32 b(determined)d(transfers)h(b)n(y)h(taking)f
(di\013erences)g(from)-72 4162 y(w)n(eek)d(to)g(w)n(eek)g(in)g(\014les)
g(that)h(w)n(e)f(recorded)f(as)h(app)r(earing)e(in)-72
4262 y(a)j(user's)f(library)-7 b(.)35 b(During)27 b(eac)n(h)g(w)n(eek,)
h(w)n(e)g(determined)e(the)-72 4362 y(most)38 b(p)r(opular)f(stored)h
(songs.)70 b(W)-7 b(e)39 b(w)n(eren't)g(alw)n(a)n(ys)d(able)-72
4461 y(to)i(con)n(tact)f(a)g(user)g(to)h(determine)e(their)h(curren)n
(t)f(\014le)h(set.)-72 4561 y(T)-7 b(able)27 b(2)h(sho)n(ws)f(that)i(w)
n(e)f(con)n(tacted)g(ab)r(out)g(5,000)f(to)h(3,000)-72
4661 y(Gn)n(utella)c(users)h(of)g(the)i(20,000)c(w)n(e)j(monitored)d
(within)h(eac)n(h)-72 4760 y(w)n(eek.)34 b(Our)20 b(Napster)g(exp)r
(erimen)n(t)f(w)n(as)h(less)f(robust:)33 b(our)20 b(list)-72
4860 y(of)27 b(the)h(users)e(w)n(e)h(w)n(ere)f(observing)f(w)n(as)h(so)
g(long,)g(w)n(e)h(prob)r(ed)-72 4959 y(users)j(to)r(o)h(infrequen)n
(tly)e(during)h(eac)n(h)h(w)n(eek.)47 b(Ho)n(w)n(ev)n(er,)30
b(as)-72 5059 y(this)36 b(data)f(cannot)h(b)r(e)h(collected)d(again)g
(due)i(to)g(Napster's)-72 5159 y(demise)19 b(in)i(p)r(opularit)n(y)d
(and)j(legal)e(troubles,)i(w)n(e)g(still)d(presen)n(t)-72
5258 y(the)28 b(results.)2174 1340 y @beginspecial 59
@llx 200 @lly 551 @urx 600 @ury 1887 @rwi @setspecial
%%BeginDocument: results/file.pop.stored.cdf.eps
%!PS-Adobe-2.0 EPSF-1.2
%%Creator: MATLAB, The Mathworks, Inc.
%%Title: ../file.pop.stored.cdf.eps
%%CreationDate: 05/20/2002 19:28:55
%%DocumentNeededFonts: Helvetica
%%DocumentProcessColors: Cyan Magenta Yellow Black
%%Extensions: CMYK
%%Pages: 1
%%BoundingBox: 59 200 551 600
%%EndComments
%%BeginProlog
% MathWorks dictionary
/MathWorks 160 dict begin
% definition operators
/bdef {bind def} bind def
/ldef {load def} bind def
/xdef {exch def} bdef
/xstore {exch store} bdef
% operator abbreviations
/c /clip ldef
/cc /concat ldef
/cp /closepath ldef
/gr /grestore ldef
/gs /gsave ldef
/mt /moveto ldef
/np /newpath ldef
/cm /currentmatrix ldef
/sm /setmatrix ldef
/rm /rmoveto ldef
/rl /rlineto ldef
/s /show ldef
/sc {setcmykcolor} bdef
/sr /setrgbcolor ldef
/sg /setgray ldef
/w /setlinewidth ldef
/j /setlinejoin ldef
/cap /setlinecap ldef
/rc {rectclip} bdef
/rf {rectfill} bdef
% page state control
/pgsv () def
/bpage {/pgsv save def} bdef
/epage {pgsv restore} bdef
/bplot /gsave ldef
/eplot {stroke grestore} bdef
% orientation switch
/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def
% coordinate system mappings
/dpi2point 0 def
% font control
/FontSize 0 def
/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0]
makefont setfont} bdef
/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse
exch dup 3 1 roll findfont dup length dict begin
{ 1 index /FID ne {def}{pop pop} ifelse } forall
/Encoding exch def currentdict end definefont pop} bdef
/isroman {findfont /CharStrings get /Agrave known} bdef
/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse
exch FMS} bdef
/csm {1 dpi2point div -1 dpi2point div scale neg translate
dup landscapeMode eq {pop -90 rotate}
{rotateMode eq {90 rotate} if} ifelse} bdef
% line types: solid, dotted, dashed, dotdash
/SO { [] 0 setdash } bdef
/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef
/DA { [6 dpi2point mul] 0 setdash } bdef
/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4
dpi2point mul] 0 setdash } bdef
% macros for lines and objects
/L {lineto stroke} bdef
/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef
/AP {{rlineto} repeat} bdef
/PDlw -1 def
/W {/PDlw currentlinewidth def setlinewidth} def
/PP {closepath eofill} bdef
/DP {closepath stroke} bdef
/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto
neg 0 exch rlineto closepath} bdef
/FR {MR stroke} bdef
/PR {MR fill} bdef
/L1i {{currentfile picstr readhexstring pop} image} bdef
/tMatrix matrix def
/MakeOval {newpath tMatrix currentmatrix pop translate scale
0 0 1 0 360 arc tMatrix setmatrix} bdef
/FO {MakeOval stroke} bdef
/PO {MakeOval fill} bdef
/PD {currentlinewidth 2 div 0 360 arc fill
PDlw -1 eq not {PDlw w /PDlw -1 def} if} def
/FA {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef
/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef
/FAn {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef
/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef
/vradius 0 def /hradius 0 def /lry 0 def
/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def
/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef
/ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly
vradius add translate hradius vradius scale 0 0 1 180 270 arc
tMatrix setmatrix lrx hradius sub uly vradius add translate
hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix
lrx hradius sub lry vradius sub translate hradius vradius scale
0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub
translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix
closepath} bdef
/FRR {MRR stroke } bdef
/PRR {MRR fill } bdef
/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix
closepath} bdef
/FlrRR {MlrRR stroke } bdef
/PlrRR {MlrRR fill } bdef
/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix
closepath} bdef
/FtbRR {MtbRR stroke } bdef
/PtbRR {MtbRR fill } bdef
/stri 6 array def /dtri 6 array def
/smat 6 array def /dmat 6 array def
/tmat1 6 array def /tmat2 6 array def /dif 3 array def
/asub {/ind2 exch def /ind1 exch def dup dup
ind1 get exch ind2 get sub exch } bdef
/tri_to_matrix {
2 0 asub 3 1 asub 4 0 asub 5 1 asub
dup 0 get exch 1 get 7 -1 roll astore } bdef
/compute_transform {
dmat dtri tri_to_matrix tmat1 invertmatrix
smat stri tri_to_matrix tmat2 concatmatrix } bdef
/ds {stri astore pop} bdef
/dt {dtri astore pop} bdef
/db {2 copy /cols xdef /rows xdef mul dup 3 mul string
currentfile exch readhexstring pop
dup 0 3 index getinterval /rbmap xdef
dup 2 index dup getinterval /gbmap xdef
1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef
/it {gs np dtri aload pop moveto lineto lineto cp c
cols rows 8 compute_transform
rbmap gbmap bbmap true 3 colorimage gr}bdef
/il {newpath moveto lineto stroke}bdef
currentdict end def
%%EndProlog
%%BeginSetup
MathWorks begin
0 cap
end
%%EndSetup
%%Page: 1 1
%%BeginPageSetup
%%PageBoundingBox: 59 200 551 600
MathWorks begin
bpage
%%EndPageSetup
%%BeginObject: obj1
bplot
/dpi2point 12 def
portraitMode 0216 7344 csm
493 135 5912 4798 MR c np
91 dict begin %Colortable dictionary
/c0 { 0 0 0 sr} bdef
/c1 { 1 1 1 sr} bdef
/c2 { 1 0 0 sr} bdef
/c3 { 0 1 0 sr} bdef
/c4 { 0 0 1 sr} bdef
/c5 { 1 1 0 sr} bdef
/c6 { 1 0 1 sr} bdef
/c7 { 0 1 1 sr} bdef
c0
1 j
1 sg
0 0 6914 5188 PR
6 w
0 4228 5357 0 0 -4228 899 4616 4 MP
PP
-5357 0 0 4228 5357 0 0 -4228 899 4616 5 MP stroke
4 w
DO
SO
6 w
0 sg
899 4616 mt 6256 4616 L
899 388 mt 6256 388 L
899 4616 mt 899 388 L
6256 4616 mt 6256 388 L
899 4616 mt 6256 4616 L
899 4616 mt 899 388 L
899 4616 mt 899 4562 L
899 389 mt 899 442 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
866 4761 mt
(0) s
1434 4616 mt 1434 4562 L
1434 389 mt 1434 442 L
1368 4761 mt
(10) s
1970 4616 mt 1970 4562 L
1970 389 mt 1970 442 L
1904 4761 mt
(20) s
2506 4616 mt 2506 4562 L
2506 389 mt 2506 442 L
2440 4761 mt
(30) s
3041 4616 mt 3041 4562 L
3041 389 mt 3041 442 L
2975 4761 mt
(40) s
3577 4616 mt 3577 4562 L
3577 389 mt 3577 442 L
3511 4761 mt
(50) s
4113 4616 mt 4113 4562 L
4113 389 mt 4113 442 L
4047 4761 mt
(60) s
4648 4616 mt 4648 4562 L
4648 389 mt 4648 442 L
4582 4761 mt
(70) s
5184 4616 mt 5184 4562 L
5184 389 mt 5184 442 L
5118 4761 mt
(80) s
5720 4616 mt 5720 4562 L
5720 389 mt 5720 442 L
5654 4761 mt
(90) s
6256 4616 mt 6256 4562 L
6256 389 mt 6256 442 L
6156 4761 mt
(100) s
899 4616 mt 952 4616 L
6256 4616 mt 6202 4616 L
798 4660 mt
(0) s
899 4193 mt 952 4193 L
6256 4193 mt 6202 4193 L
731 4237 mt
(10) s
899 3770 mt 952 3770 L
6256 3770 mt 6202 3770 L
731 3814 mt
(20) s
899 3347 mt 952 3347 L
6256 3347 mt 6202 3347 L
731 3391 mt
(30) s
899 2925 mt 952 2925 L
6256 2925 mt 6202 2925 L
731 2969 mt
(40) s
899 2502 mt 952 2502 L
6256 2502 mt 6202 2502 L
731 2546 mt
(50) s
899 2079 mt 952 2079 L
6256 2079 mt 6202 2079 L
731 2123 mt
(60) s
899 1657 mt 952 1657 L
6256 1657 mt 6202 1657 L
731 1701 mt
(70) s
899 1234 mt 952 1234 L
6256 1234 mt 6202 1234 L
731 1278 mt
(80) s
899 811 mt 952 811 L
6256 811 mt 6202 811 L
731 855 mt
(90) s
899 389 mt 952 389 L
6256 389 mt 6202 389 L
664 433 mt
(100) s
899 4616 mt 6256 4616 L
899 388 mt 6256 388 L
899 4616 mt 899 388 L
6256 4616 mt 6256 388 L
gs 899 389 5358 4228 MR c np
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
596 -211 595 -211 594 -212 591 -211 582 -211 494 -212 387 -211 333 -211
270 -212 226 -211 186 -211 141 -212 110 -211 82 -211 58 -212 44 -211
30 -211 19 -212 13 -211 5 -212 899 4616 21 MP stroke
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
259 -31 463 -56 421 -51 383 -77 349 -84 316 -84 288 -104 261 -96
238 -115 216 -105 197 -107 179 -108 162 -99 148 -104 134 -98 122 -95
111 -94 101 -86 92 -83 83 -81 76 -73 69 -67 62 -65 57 -64
52 -62 47 -62 43 -61 39 -59 35 -57 32 -56 29 -55 27 -53
24 -51 22 -51 20 -50 18 -49 17 -48 15 -48 13 -46 13 -46
11 -45 10 -44 9 -44 9 -44 8 -42 7 -42 6 -41 6 -39
5 -39 5 -38 4 -37 4 -37 4 -35 3 -35 3 -33 3 -32
2 -31 2 -30 2 -29 2 -28 2 -26 1 -26 2 -26 1 -24
1 -24 1 -23 1 -22 1 -22 1 -20 0 -22 1 -18 1 -19
0 -18 1 -18 0 -31 1 -15 0 -14 1 -15 0 -48 1 -9
0 -52 1 -6 0 -103 899 4616 84 MP stroke
gr
c9
0 sg
2841 294 mt
(CDF of stored file popularity) s
2388 4904 mt
(Percentage of unique files, rank by popularity) s
609 3177 mt -90 rotate
(Percentage of stored files) s
90 rotate
1 sg
0 299 844 0 0 -299 959 748 4 MP
PP
-844 0 0 299 844 0 0 -299 959 748 5 MP stroke
4 w
DO
SO
6 w
0 sg
959 748 mt 1803 748 L
959 449 mt 1803 449 L
959 748 mt 959 449 L
1803 748 mt 1803 449 L
959 748 mt 1803 748 L
959 748 mt 959 449 L
959 748 mt 1803 748 L
959 449 mt 1803 449 L
959 748 mt 959 449 L
1803 748 mt 1803 449 L
1292 571 mt
(Napster) s
1292 709 mt
(Gnutella) s
gs 959 449 845 300 MR c np
c8
200 0 1025 531 2 MP stroke
c9
200 0 1025 669 2 MP stroke
gr
c9
end
eplot
%%EndObject
epage
end
showpage
%%Trailer
%%EOF
%%EndDocument
@endspecial 1977 1515 a Fe(Figure)52 b(1.)g Fg(CDF)45
b(of)i(stored)e(\014le)h(lo)r(calit)n(y)g(in)g(Napster)f(and)1977
1606 y(Gn)n(utella.)2174 2905 y @beginspecial 56 @llx
198 @lly 546 @urx 600 @ury 1887 @rwi @setspecial
%%BeginDocument: results/file.pop.stored.pdf.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: MATLAB, The Mathworks, Inc.
%%Title: ../file.pop.stored.pdf.eps
%%CreationDate: 05/21/2002 00:31:22
%%DocumentNeededFonts: Helvetica
%%DocumentProcessColors: Cyan Magenta Yellow Black
%%LanguageLevel: 2
%%Pages: 1
%%BoundingBox: 56 198 546 600
%%EndComments
%%BeginProlog
% MathWorks dictionary
/MathWorks 160 dict begin
% definition operators
/bdef {bind def} bind def
/ldef {load def} bind def
/xdef {exch def} bdef
/xstore {exch store} bdef
% operator abbreviations
/c /clip ldef
/cc /concat ldef
/cp /closepath ldef
/gr /grestore ldef
/gs /gsave ldef
/mt /moveto ldef
/np /newpath ldef
/cm /currentmatrix ldef
/sm /setmatrix ldef
/rm /rmoveto ldef
/rl /rlineto ldef
/s /show ldef
/sc {setcmykcolor} bdef
/sr /setrgbcolor ldef
/sg /setgray ldef
/w /setlinewidth ldef
/j /setlinejoin ldef
/cap /setlinecap ldef
/rc {rectclip} bdef
/rf {rectfill} bdef
% page state control
/pgsv () def
/bpage {/pgsv save def} bdef
/epage {pgsv restore} bdef
/bplot /gsave ldef
/eplot {stroke grestore} bdef
% orientation switch
/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def
% coordinate system mappings
/dpi2point 0 def
% font control
/FontSize 0 def
/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0]
makefont setfont} bdef
/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse
exch dup 3 1 roll findfont dup length dict begin
{ 1 index /FID ne {def}{pop pop} ifelse } forall
/Encoding exch def currentdict end definefont pop} bdef
/isroman {findfont /CharStrings get /Agrave known} bdef
/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse
exch FMS} bdef
/csm {1 dpi2point div -1 dpi2point div scale neg translate
dup landscapeMode eq {pop -90 rotate}
{rotateMode eq {90 rotate} if} ifelse} bdef
% line types: solid, dotted, dashed, dotdash
/SO { [] 0 setdash } bdef
/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef
/DA { [6 dpi2point mul] 0 setdash } bdef
/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4
dpi2point mul] 0 setdash } bdef
% macros for lines and objects
/L {lineto stroke} bdef
/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef
/AP {{rlineto} repeat} bdef
/PDlw -1 def
/W {/PDlw currentlinewidth def setlinewidth} def
/PP {closepath eofill} bdef
/DP {closepath stroke} bdef
/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto
neg 0 exch rlineto closepath} bdef
/FR {MR stroke} bdef
/PR {MR fill} bdef
/L1i {{currentfile picstr readhexstring pop} image} bdef
/tMatrix matrix def
/MakeOval {newpath tMatrix currentmatrix pop translate scale
0 0 1 0 360 arc tMatrix setmatrix} bdef
/FO {MakeOval stroke} bdef
/PO {MakeOval fill} bdef
/PD {currentlinewidth 2 div 0 360 arc fill
PDlw -1 eq not {PDlw w /PDlw -1 def} if} def
/FA {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef
/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef
/FAn {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef
/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef
/vradius 0 def /hradius 0 def /lry 0 def
/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def
/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef
/ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly
vradius add translate hradius vradius scale 0 0 1 180 270 arc
tMatrix setmatrix lrx hradius sub uly vradius add translate
hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix
lrx hradius sub lry vradius sub translate hradius vradius scale
0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub
translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix
closepath} bdef
/FRR {MRR stroke } bdef
/PRR {MRR fill } bdef
/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix
closepath} bdef
/FlrRR {MlrRR stroke } bdef
/PlrRR {MlrRR fill } bdef
/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix
closepath} bdef
/FtbRR {MtbRR stroke } bdef
/PtbRR {MtbRR fill } bdef
/stri 6 array def /dtri 6 array def
/smat 6 array def /dmat 6 array def
/tmat1 6 array def /tmat2 6 array def /dif 3 array def
/asub {/ind2 exch def /ind1 exch def dup dup
ind1 get exch ind2 get sub exch } bdef
/tri_to_matrix {
2 0 asub 3 1 asub 4 0 asub 5 1 asub
dup 0 get exch 1 get 7 -1 roll astore } bdef
/compute_transform {
dmat dtri tri_to_matrix tmat1 invertmatrix
smat stri tri_to_matrix tmat2 concatmatrix } bdef
/ds {stri astore pop} bdef
/dt {dtri astore pop} bdef
/db {2 copy /cols xdef /rows xdef mul dup 3 mul string
currentfile
3 index 0 eq {/ASCIIHexDecode filter}
{/ASCII85Decode filter 3 index 2 eq {/RunLengthDecode filter} if }
ifelse exch readstring pop
dup 0 3 index getinterval /rbmap xdef
dup 2 index dup getinterval /gbmap xdef
1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef
/it {gs np dtri aload pop moveto lineto lineto cp c
cols rows 8 compute_transform
rbmap gbmap bbmap true 3 colorimage gr}bdef
/il {newpath moveto lineto stroke}bdef
currentdict end def
%%EndProlog
%%BeginSetup
MathWorks begin
0 cap
end
%%EndSetup
%%Page: 1 1
%%BeginPageSetup
%%PageBoundingBox: 56 198 546 600
MathWorks begin
bpage
%%EndPageSetup
%%BeginObject: obj1
bplot
/dpi2point 12 def
portraitMode 0216 7344 csm
457 135 5881 4830 rc
91 dict begin %Colortable dictionary
/c0 { 0 0 0 sr} bdef
/c1 { 1 1 1 sr} bdef
/c2 { 1 0 0 sr} bdef
/c3 { 0 1 0 sr} bdef
/c4 { 0 0 1 sr} bdef
/c5 { 1 1 0 sr} bdef
/c6 { 1 0 1 sr} bdef
/c7 { 0 1 1 sr} bdef
c0
1 j
1 sg
0 0 6914 5188 rf
6 w
0 4227 5357 0 0 -4227 899 4616 4 MP
PP
-5357 0 0 4227 5357 0 0 -4227 899 4616 5 MP stroke
4 w
DO
SO
6 w
0 sg
899 4616 mt 6256 4616 L
899 389 mt 6256 389 L
899 4616 mt 899 389 L
6256 4616 mt 6256 389 L
899 4616 mt 6256 4616 L
899 4616 mt 899 389 L
899 4616 mt 899 4562 L
899 389 mt 899 442 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
796 4761 mt
(-4) s
1791 4616 mt 1791 4562 L
1791 389 mt 1791 442 L
1688 4761 mt
(-3) s
2684 4616 mt 2684 4562 L
2684 389 mt 2684 442 L
2581 4761 mt
(-2) s
3577 4616 mt 3577 4562 L
3577 389 mt 3577 442 L
3474 4761 mt
(-1) s
4470 4616 mt 4470 4562 L
4470 389 mt 4470 442 L
4437 4761 mt
(0) s
5363 4616 mt 5363 4562 L
5363 389 mt 5363 442 L
5330 4761 mt
(1) s
6256 4616 mt 6256 4562 L
6256 389 mt 6256 442 L
6223 4761 mt
(2) s
899 4616 mt 952 4616 L
6256 4616 mt 6202 4616 L
728 4660 mt
(-5) s
899 4146 mt 952 4146 L
6256 4146 mt 6202 4146 L
628 4190 mt
(-4.5) s
899 3676 mt 952 3676 L
6256 3676 mt 6202 3676 L
728 3720 mt
(-4) s
899 3207 mt 952 3207 L
6256 3207 mt 6202 3207 L
628 3251 mt
(-3.5) s
899 2737 mt 952 2737 L
6256 2737 mt 6202 2737 L
728 2781 mt
(-3) s
899 2267 mt 952 2267 L
6256 2267 mt 6202 2267 L
628 2311 mt
(-2.5) s
899 1798 mt 952 1798 L
6256 1798 mt 6202 1798 L
728 1842 mt
(-2) s
899 1328 mt 952 1328 L
6256 1328 mt 6202 1328 L
628 1372 mt
(-1.5) s
899 858 mt 952 858 L
6256 858 mt 6202 858 L
728 902 mt
(-1) s
899 389 mt 952 389 L
6256 389 mt 6202 389 L
628 433 mt
(-0.5) s
899 4616 mt 6256 4616 L
899 389 mt 6256 389 L
899 4616 mt 899 389 L
6256 4616 mt 6256 389 L
gs 899 389 5358 4228 rc
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
37 0 37 0 37 166 37 0 36 208 37 0 37 137 37 0
37 0 37 55 37 0 37 0 37 91 37 0 37 74 37 0
37 0 37 63 37 0 37 0 37 0 37 28 37 51 37 0
37 46 37 21 37 38 37 36 36 17 37 31 37 29 37 14
37 51 37 23 37 33 37 30 37 37 37 26 37 40 37 29
37 34 37 37 37 34 37 31 37 25 37 23 37 38 37 28
37 29 37 31 37 25 37 36 37 22 37 28 37 20 37 23
37 26 36 25 38 25 36 22 38 27 37 26 37 26 37 29
37 27 37 29 38 23 35 24 39 26 35 22 37 23 37 21
38 22 38 18 35 16 37 21 37 21 41 21 34 15 37 18
41 14 37 14 33 15 36 15 40 19 33 19 49 22 26 11
44 14 33 15 35 11 39 15 43 21 48 24 27 8 29 8
13 3 37 13 41 5 45 17 52 33 52 33 8 1 51 19
19 2 52 16 35 20 52 10 60 14 52 12 60 6 45 2
52 14 60 4 71 16 86 35 52 6 60 12 70 34 87 48
112 55 157 0 269 1 935 1266 124 MP stroke
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
37 0 37 0 37 0 37 0 37 0 37 0 37 0 37 0
37 0 37 0 37 0 36 0 37 0 37 283 37 0 37 0
37 0 37 0 37 0 37 0 37 0 37 166 37 0 37 0
37 0 37 0 37 117 37 0 37 0 37 91 37 0 37 0
37 75 37 0 37 62 37 0 37 55 36 0 37 48 37 43
37 0 37 39 37 35 37 33 37 30 37 28 37 27 37 48
37 22 37 41 37 19 37 35 37 33 37 30 37 28 37 26
37 37 37 23 37 31 37 20 37 29 37 26 37 32 37 23
37 22 37 21 38 26 35 18 39 29 36 22 36 25 37 20
38 18 38 22 35 21 38 16 37 23 40 15 34 17 37 17
41 19 38 16 33 15 36 14 40 16 32 14 49 13 27 5
44 19 32 12 35 14 39 6 43 13 49 15 26 10 29 10
13 8 37 7 41 13 46 22 51 23 52 13 8 3 52 13
19 1 52 9 34 22 52 3 60 7 52 11 59 8 46 11
52 17 60 13 70 30 87 17 52 15 59 3 71 34 87 17
111 13 157 6 269 55 952 1350 124 MP stroke
/c10 { 1.000000 0.000000 0.000000 sr} bdef
c10
37 23 37 22 37 23 37 23 36 22 37 23 37 22 37 23
37 22 37 23 37 23 37 22 37 23 37 22 37 23 37 22
37 23 37 23 37 22 37 23 37 22 37 23 37 23 37 22
37 23 37 22 37 23 37 22 36 23 37 23 37 22 37 23
37 22 37 23 37 22 37 23 37 23 37 22 37 23 37 22
37 23 37 22 37 23 37 23 37 22 37 23 37 22 37 23
37 23 37 22 37 23 37 22 37 23 37 23 37 22 37 23
37 22 36 23 38 23 36 22 38 23 37 23 37 22 37 23
37 22 37 23 38 23 35 21 39 24 35 22 37 22 37 23
38 23 38 23 35 21 37 23 37 23 41 25 34 21 37 22
41 25 37 23 33 20 36 22 40 25 33 20 49 29 26 17
44 27 33 19 35 22 39 24 43 26 48 30 27 16 29 17
13 8 37 23 41 25 45 28 52 31 52 32 8 5 51 31
19 12 52 32 35 21 52 32 60 37 52 31 60 37 45 28
52 31 60 37 71 43 86 53 52 31 60 37 70 43 87 53
112 68 157 96 269 164 935 676 124 MP stroke
/c11 { 0.000000 0.750000 0.750000 sr} bdef
c11
42 43 43 44 43 43 43 43 42 42 43 43 43 42 43 41
42 41 43 41 43 41 43 40 42 40 43 40 43 39 43 39
42 39 43 38 43 38 43 38 42 38 43 37 43 36 43 37
42 36 43 36 43 35 43 36 42 34 43 35 43 34 43 34
42 34 43 33 43 33 43 32 42 33 43 32 43 31 43 32
42 31 43 30 43 31 43 30 42 29 43 30 43 29 43 29
42 28 43 28 43 28 43 28 42 27 43 27 43 26 43 26
42 26 43 26 43 25 43 25 42 25 43 24 43 24 43 24
42 23 43 23 43 23 43 22 42 22 43 22 43 21 43 21
42 21 43 20 43 21 43 19 42 20 43 19 43 19 43 18
42 19 43 17 43 18 43 17 42 17 43 17 43 16 43 16
42 16 43 15 43 15 43 15 42 14 43 14 43 14 43 13
42 13 43 13 43 12 43 13 42 11 43 12 43 11 43 11
42 10 43 11 43 9 43 10 42 9 43 9 43 9 43 8
42 8 43 8 43 7 43 7 42 7 43 6 43 6 43 6
42 5 43 5 43 5 978 1259 124 MP stroke
gr
c11
0 sg
2844 294 mt
(PDF of stored file popularity) s
573 3391 mt -90 rotate
(Percentage of all files, log) s
90 rotate
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
633 2025 mt -90 rotate
(10) s
90 rotate
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
573 1919 mt -90 rotate
( scale) s
90 rotate
2371 4882 mt
(Percentage of unique files ranked, log) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
4375 4942 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
4481 4882 mt
( scale) s
1292 3929 mt
(Napster) s
1292 4067 mt
(Gnutella) s
1292 4237 mt
(powerlaw fit,y=-3.10/x) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
2482 4177 mt
(0.58) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
1292 4440 mt
(log-quadratic fit,y=10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
2438 4380 mt
(-2.96x) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 72 FMSR
2728 4320 mt
(2) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
2768 4380 mt
( -0.68 -0.07) s
gs 959 3881 2402 676 rc
c8
200 0 1025 3977 2 MP stroke
c9
200 0 1025 4139 2 MP stroke
c10
200 0 1025 4302 2 MP stroke
c11
200 0 1025 4464 2 MP stroke
gr
c11
end
eplot
%%EndObject
epage
end
showpage
%%Trailer
%%EOF
%%EndDocument
@endspecial 1977 3079 a Fe(Figure)31 b(2.)g Fg(P)n(opularit)n(y)d
(distribution)f(of)h(stored)g(\014le)f(lo)r(calit)n(y)i(in)1977
3171 y(Napster)d(and)f(Gn)n(utella.)1977 3457 y Fd(5.1.2.)i(File)k(T)m
(yp)s(e)h(Demographics)1977 3613 y Fh(A)n(t)f(the)g(time)e(of)i(our)f
(data)g(collection)d(from)i(Napster,)i(only)1977 3713
y(\014les)48 b(with)g(an)h(\\MP3")e(extension)g(w)n(ere)h(allo)n(w)n
(ed)e(to)i(b)r(e)1977 3812 y(shared)41 b(b)n(y)g(users.)78
b(Ho)n(w)n(ev)n(er,)43 b(Gn)n(utella)d(places)g(no)h(suc)n(h)1977
3912 y(restriction)32 b(on)j(shared)f(con)n(ten)n(t.)58
b(T)-7 b(able)34 b(3)g(sho)n(ws)g(the)h(de-)1977 4012
y(mographics)18 b(of)i(the)i(\014le)e(t)n(yp)r(es)g(w)n(e)h(recorded)e
(from)h(Gn)n(utella.)1977 4111 y(Audio)h(\014les)f(and)h(image)d
(\014les)i(are)h(the)g(most)f(p)r(opular.)33 b(When)1977
4211 y(the)22 b(size)d(of)i(the)h(\014les)d(is)h(tak)n(en)h(in)n(to)e
(accoun)n(t,)j(audio)d(\014les)h(and)1977 4311 y(video)31
b(\014les)g(mak)n(e)f(up)i(the)h(bulk)e(of)h(shared)f(data.)50
b(The)32 b(a)n(v-)1977 4410 y(erage)g(MP3)h(\014le)f(w)n(as)h(4.2)f
(MB.)i(W)-7 b(e)33 b(plan)g(to)g(monitor)e(this)1977
4510 y(distribution)24 b(o)n(v)n(er)h(the)i(coming)d(y)n(ears)g(to)j
(analyze)d(c)n(hanges.)2060 4661 y(In)f(the)g(app)r(endix,)f(w)n(e)g
(include)f(lists)f(of)j(the)f(most)f(p)r(opular)1977
4760 y(shared)28 b(\014les)f(stored)h(in)g(the)h(Gn)n(utella)d(net)n(w)
n(ork)i(during)f(our)1977 4860 y(collection)35 b(p)r(erio)r(d.)68
b(In)38 b(three)g(separate)f(tables,)j(w)n(e)e(sho)n(w)1977
4959 y(the)28 b(top)e(50)g(\014les)g(of)h(all)d(t)n(yp)r(es,)j(of)g
(just)g(audio)e(t)n(yp)r(es,)i(and)g(of)1977 5059 y(just)22
b(video)e(t)n(yp)r(es.)35 b(The)22 b(ranking)d(is)h(actually)f(b)n(y)i
(signatures.)1977 5159 y(Num)n(b)r(ers)i(in)g(paren)n(theses)f(sho)n(w)
h(the)h(n)n(um)n(b)r(er)e(of)h(users)g(who)1977 5258
y(stored)g(eac)n(h)f(\014le's)g(corresp)r(onding)f(signature;)h(only)g
(one)h(full)1915 5507 y(6)p eop
%%Page: 7 7
7 6 bop 125 1340 a @beginspecial 59 @llx 200 @lly 551
@urx 600 @ury 1887 @rwi @setspecial
%%BeginDocument: results/file.pop.diff.cdf.eps
%!PS-Adobe-2.0 EPSF-1.2
%%Creator: MATLAB, The Mathworks, Inc.
%%Title: ../file.pop.diff.cdf.eps
%%CreationDate: 05/20/2002 19:29:52
%%DocumentNeededFonts: Helvetica
%%DocumentProcessColors: Cyan Magenta Yellow Black
%%Extensions: CMYK
%%Pages: 1
%%BoundingBox: 59 200 551 600
%%EndComments
%%BeginProlog
% MathWorks dictionary
/MathWorks 160 dict begin
% definition operators
/bdef {bind def} bind def
/ldef {load def} bind def
/xdef {exch def} bdef
/xstore {exch store} bdef
% operator abbreviations
/c /clip ldef
/cc /concat ldef
/cp /closepath ldef
/gr /grestore ldef
/gs /gsave ldef
/mt /moveto ldef
/np /newpath ldef
/cm /currentmatrix ldef
/sm /setmatrix ldef
/rm /rmoveto ldef
/rl /rlineto ldef
/s /show ldef
/sc {setcmykcolor} bdef
/sr /setrgbcolor ldef
/sg /setgray ldef
/w /setlinewidth ldef
/j /setlinejoin ldef
/cap /setlinecap ldef
/rc {rectclip} bdef
/rf {rectfill} bdef
% page state control
/pgsv () def
/bpage {/pgsv save def} bdef
/epage {pgsv restore} bdef
/bplot /gsave ldef
/eplot {stroke grestore} bdef
% orientation switch
/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def
% coordinate system mappings
/dpi2point 0 def
% font control
/FontSize 0 def
/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0]
makefont setfont} bdef
/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse
exch dup 3 1 roll findfont dup length dict begin
{ 1 index /FID ne {def}{pop pop} ifelse } forall
/Encoding exch def currentdict end definefont pop} bdef
/isroman {findfont /CharStrings get /Agrave known} bdef
/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse
exch FMS} bdef
/csm {1 dpi2point div -1 dpi2point div scale neg translate
dup landscapeMode eq {pop -90 rotate}
{rotateMode eq {90 rotate} if} ifelse} bdef
% line types: solid, dotted, dashed, dotdash
/SO { [] 0 setdash } bdef
/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef
/DA { [6 dpi2point mul] 0 setdash } bdef
/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4
dpi2point mul] 0 setdash } bdef
% macros for lines and objects
/L {lineto stroke} bdef
/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef
/AP {{rlineto} repeat} bdef
/PDlw -1 def
/W {/PDlw currentlinewidth def setlinewidth} def
/PP {closepath eofill} bdef
/DP {closepath stroke} bdef
/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto
neg 0 exch rlineto closepath} bdef
/FR {MR stroke} bdef
/PR {MR fill} bdef
/L1i {{currentfile picstr readhexstring pop} image} bdef
/tMatrix matrix def
/MakeOval {newpath tMatrix currentmatrix pop translate scale
0 0 1 0 360 arc tMatrix setmatrix} bdef
/FO {MakeOval stroke} bdef
/PO {MakeOval fill} bdef
/PD {currentlinewidth 2 div 0 360 arc fill
PDlw -1 eq not {PDlw w /PDlw -1 def} if} def
/FA {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef
/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef
/FAn {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef
/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef
/vradius 0 def /hradius 0 def /lry 0 def
/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def
/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef
/ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly
vradius add translate hradius vradius scale 0 0 1 180 270 arc
tMatrix setmatrix lrx hradius sub uly vradius add translate
hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix
lrx hradius sub lry vradius sub translate hradius vradius scale
0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub
translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix
closepath} bdef
/FRR {MRR stroke } bdef
/PRR {MRR fill } bdef
/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix
closepath} bdef
/FlrRR {MlrRR stroke } bdef
/PlrRR {MlrRR fill } bdef
/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix
closepath} bdef
/FtbRR {MtbRR stroke } bdef
/PtbRR {MtbRR fill } bdef
/stri 6 array def /dtri 6 array def
/smat 6 array def /dmat 6 array def
/tmat1 6 array def /tmat2 6 array def /dif 3 array def
/asub {/ind2 exch def /ind1 exch def dup dup
ind1 get exch ind2 get sub exch } bdef
/tri_to_matrix {
2 0 asub 3 1 asub 4 0 asub 5 1 asub
dup 0 get exch 1 get 7 -1 roll astore } bdef
/compute_transform {
dmat dtri tri_to_matrix tmat1 invertmatrix
smat stri tri_to_matrix tmat2 concatmatrix } bdef
/ds {stri astore pop} bdef
/dt {dtri astore pop} bdef
/db {2 copy /cols xdef /rows xdef mul dup 3 mul string
currentfile exch readhexstring pop
dup 0 3 index getinterval /rbmap xdef
dup 2 index dup getinterval /gbmap xdef
1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef
/it {gs np dtri aload pop moveto lineto lineto cp c
cols rows 8 compute_transform
rbmap gbmap bbmap true 3 colorimage gr}bdef
/il {newpath moveto lineto stroke}bdef
currentdict end def
%%EndProlog
%%BeginSetup
MathWorks begin
0 cap
end
%%EndSetup
%%Page: 1 1
%%BeginPageSetup
%%PageBoundingBox: 59 200 551 600
MathWorks begin
bpage
%%EndPageSetup
%%BeginObject: obj1
bplot
/dpi2point 12 def
portraitMode 0216 7344 csm
493 135 5912 4798 MR c np
91 dict begin %Colortable dictionary
/c0 { 0 0 0 sr} bdef
/c1 { 1 1 1 sr} bdef
/c2 { 1 0 0 sr} bdef
/c3 { 0 1 0 sr} bdef
/c4 { 0 0 1 sr} bdef
/c5 { 1 1 0 sr} bdef
/c6 { 1 0 1 sr} bdef
/c7 { 0 1 1 sr} bdef
c0
1 j
1 sg
0 0 6914 5188 PR
6 w
0 4228 5357 0 0 -4228 899 4616 4 MP
PP
-5357 0 0 4228 5357 0 0 -4228 899 4616 5 MP stroke
4 w
DO
SO
6 w
0 sg
899 4616 mt 6256 4616 L
899 388 mt 6256 388 L
899 4616 mt 899 388 L
6256 4616 mt 6256 388 L
899 4616 mt 6256 4616 L
899 4616 mt 899 388 L
899 4616 mt 899 4562 L
899 389 mt 899 442 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
866 4761 mt
(0) s
1434 4616 mt 1434 4562 L
1434 389 mt 1434 442 L
1368 4761 mt
(10) s
1970 4616 mt 1970 4562 L
1970 389 mt 1970 442 L
1904 4761 mt
(20) s
2506 4616 mt 2506 4562 L
2506 389 mt 2506 442 L
2440 4761 mt
(30) s
3041 4616 mt 3041 4562 L
3041 389 mt 3041 442 L
2975 4761 mt
(40) s
3577 4616 mt 3577 4562 L
3577 389 mt 3577 442 L
3511 4761 mt
(50) s
4113 4616 mt 4113 4562 L
4113 389 mt 4113 442 L
4047 4761 mt
(60) s
4648 4616 mt 4648 4562 L
4648 389 mt 4648 442 L
4582 4761 mt
(70) s
5184 4616 mt 5184 4562 L
5184 389 mt 5184 442 L
5118 4761 mt
(80) s
5720 4616 mt 5720 4562 L
5720 389 mt 5720 442 L
5654 4761 mt
(90) s
6256 4616 mt 6256 4562 L
6256 389 mt 6256 442 L
6156 4761 mt
(100) s
899 4616 mt 952 4616 L
6256 4616 mt 6202 4616 L
798 4660 mt
(0) s
899 4193 mt 952 4193 L
6256 4193 mt 6202 4193 L
731 4237 mt
(10) s
899 3770 mt 952 3770 L
6256 3770 mt 6202 3770 L
731 3814 mt
(20) s
899 3347 mt 952 3347 L
6256 3347 mt 6202 3347 L
731 3391 mt
(30) s
899 2925 mt 952 2925 L
6256 2925 mt 6202 2925 L
731 2969 mt
(40) s
899 2502 mt 952 2502 L
6256 2502 mt 6202 2502 L
731 2546 mt
(50) s
899 2079 mt 952 2079 L
6256 2079 mt 6202 2079 L
731 2123 mt
(60) s
899 1657 mt 952 1657 L
6256 1657 mt 6202 1657 L
731 1701 mt
(70) s
899 1234 mt 952 1234 L
6256 1234 mt 6202 1234 L
731 1278 mt
(80) s
899 811 mt 952 811 L
6256 811 mt 6202 811 L
731 855 mt
(90) s
899 389 mt 952 389 L
6256 389 mt 6202 389 L
664 433 mt
(100) s
899 4616 mt 6256 4616 L
899 388 mt 6256 388 L
899 4616 mt 899 388 L
6256 4616 mt 6256 388 L
gs 899 389 5358 4228 MR c np
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
145 -57 474 -189 431 -171 391 -155 356 -141 324 -129 294 -117 267 -106
244 -97 221 -87 200 -80 183 -73 166 -66 151 -60 137 -54 125 -56
113 -90 104 -82 93 -74 85 -68 78 -62 70 -55 64 -51 59 -61
52 -63 49 -57 43 -53 40 -47 36 -56 33 -52 30 -48 27 -49
25 -49 22 -44 21 -48 18 -44 17 -45 15 -43 14 -43 13 -41
11 -41 11 -40 9 -40 9 -38 8 -38 7 -38 7 -36 5 -36
6 -36 5 -34 4 -34 4 -34 4 -32 3 -32 3 -31 3 -30
2 -30 3 -29 2 -28 2 -27 1 -27 2 -26 1 -25 2 -25
1 -23 1 -23 1 -22 1 -21 1 -21 0 -20 1 -19 1 -18
0 -19 1 -17 0 -31 1 -14 0 -27 1 -12 0 -33 1 -10
0 -49 1 -6 0 -92 899 4616 84 MP stroke
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
279 -16 461 -28 420 -25 381 -41 347 -42 316 -53 286 -53 261 -63
237 -62 215 -65 196 -71 178 -72 162 -74 147 -78 133 -79 122 -81
110 -81 101 -80 91 -78 83 -78 76 -78 68 -80 63 -80 56 -79
52 -81 47 -82 42 -83 39 -82 35 -80 32 -79 30 -79 26 -78
24 -76 22 -75 20 -73 18 -71 16 -72 15 -70 14 -67 12 -61
11 -58 11 -55 9 -52 8 -50 8 -48 7 -46 6 -45 6 -44
5 -43 5 -43 4 -40 4 -39 4 -37 3 -35 3 -34 3 -33
2 -31 2 -31 2 -30 2 -29 2 -27 1 -27 2 -26 1 -24
1 -24 1 -23 1 -21 1 -22 1 -20 0 -20 1 -19 1 -17
0 -18 1 -16 0 -16 1 -15 0 -30 1 -12 0 -50 1 -11
0 -56 1 -11 0 -153 899 4616 84 MP stroke
gr
c9
0 sg
2739 294 mt
(CDF of transfered file popularity) s
2388 4904 mt
(Percentage of unique files, rank by popularity) s
609 3177 mt -90 rotate
(Percentage of stored files) s
90 rotate
1 sg
0 299 844 0 0 -299 959 748 4 MP
PP
-844 0 0 299 844 0 0 -299 959 748 5 MP stroke
4 w
DO
SO
6 w
0 sg
959 748 mt 1803 748 L
959 449 mt 1803 449 L
959 748 mt 959 449 L
1803 748 mt 1803 449 L
959 748 mt 1803 748 L
959 748 mt 959 449 L
959 748 mt 1803 748 L
959 449 mt 1803 449 L
959 748 mt 959 449 L
1803 748 mt 1803 449 L
1292 571 mt
(Napster) s
1292 709 mt
(Gnutella) s
gs 959 449 845 300 MR c np
c8
200 0 1025 531 2 MP stroke
c9
200 0 1025 669 2 MP stroke
gr
c9
end
eplot
%%EndObject
epage
end
showpage
%%Trailer
%%EOF
%%EndDocument
@endspecial -72 1515 a Fe(Figure)32 b(3.)g Fg(CDF)c(of)h(transferred)g
(\014le)f(lo)r(calit)n(y)i(in)e(Napster)g(and)-72 1606
y(Gn)n(utella.)125 2905 y @beginspecial 56 @llx 198 @lly
546 @urx 600 @ury 1887 @rwi @setspecial
%%BeginDocument: results/file.pop.diff.pdf.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: MATLAB, The Mathworks, Inc.
%%Title: ../file.pop.diff.pdf.eps
%%CreationDate: 05/20/2002 18:33:54
%%DocumentNeededFonts: Helvetica
%%DocumentProcessColors: Cyan Magenta Yellow Black
%%LanguageLevel: 2
%%Pages: 1
%%BoundingBox: 56 198 546 600
%%EndComments
%%BeginProlog
% MathWorks dictionary
/MathWorks 160 dict begin
% definition operators
/bdef {bind def} bind def
/ldef {load def} bind def
/xdef {exch def} bdef
/xstore {exch store} bdef
% operator abbreviations
/c /clip ldef
/cc /concat ldef
/cp /closepath ldef
/gr /grestore ldef
/gs /gsave ldef
/mt /moveto ldef
/np /newpath ldef
/cm /currentmatrix ldef
/sm /setmatrix ldef
/rm /rmoveto ldef
/rl /rlineto ldef
/s /show ldef
/sc {setcmykcolor} bdef
/sr /setrgbcolor ldef
/sg /setgray ldef
/w /setlinewidth ldef
/j /setlinejoin ldef
/cap /setlinecap ldef
/rc {rectclip} bdef
/rf {rectfill} bdef
% page state control
/pgsv () def
/bpage {/pgsv save def} bdef
/epage {pgsv restore} bdef
/bplot /gsave ldef
/eplot {stroke grestore} bdef
% orientation switch
/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def
% coordinate system mappings
/dpi2point 0 def
% font control
/FontSize 0 def
/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0]
makefont setfont} bdef
/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse
exch dup 3 1 roll findfont dup length dict begin
{ 1 index /FID ne {def}{pop pop} ifelse } forall
/Encoding exch def currentdict end definefont pop} bdef
/isroman {findfont /CharStrings get /Agrave known} bdef
/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse
exch FMS} bdef
/csm {1 dpi2point div -1 dpi2point div scale neg translate
dup landscapeMode eq {pop -90 rotate}
{rotateMode eq {90 rotate} if} ifelse} bdef
% line types: solid, dotted, dashed, dotdash
/SO { [] 0 setdash } bdef
/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef
/DA { [6 dpi2point mul] 0 setdash } bdef
/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4
dpi2point mul] 0 setdash } bdef
% macros for lines and objects
/L {lineto stroke} bdef
/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef
/AP {{rlineto} repeat} bdef
/PDlw -1 def
/W {/PDlw currentlinewidth def setlinewidth} def
/PP {closepath eofill} bdef
/DP {closepath stroke} bdef
/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto
neg 0 exch rlineto closepath} bdef
/FR {MR stroke} bdef
/PR {MR fill} bdef
/L1i {{currentfile picstr readhexstring pop} image} bdef
/tMatrix matrix def
/MakeOval {newpath tMatrix currentmatrix pop translate scale
0 0 1 0 360 arc tMatrix setmatrix} bdef
/FO {MakeOval stroke} bdef
/PO {MakeOval fill} bdef
/PD {currentlinewidth 2 div 0 360 arc fill
PDlw -1 eq not {PDlw w /PDlw -1 def} if} def
/FA {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef
/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef
/FAn {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef
/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef
/vradius 0 def /hradius 0 def /lry 0 def
/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def
/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef
/ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly
vradius add translate hradius vradius scale 0 0 1 180 270 arc
tMatrix setmatrix lrx hradius sub uly vradius add translate
hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix
lrx hradius sub lry vradius sub translate hradius vradius scale
0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub
translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix
closepath} bdef
/FRR {MRR stroke } bdef
/PRR {MRR fill } bdef
/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix
closepath} bdef
/FlrRR {MlrRR stroke } bdef
/PlrRR {MlrRR fill } bdef
/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix
closepath} bdef
/FtbRR {MtbRR stroke } bdef
/PtbRR {MtbRR fill } bdef
/stri 6 array def /dtri 6 array def
/smat 6 array def /dmat 6 array def
/tmat1 6 array def /tmat2 6 array def /dif 3 array def
/asub {/ind2 exch def /ind1 exch def dup dup
ind1 get exch ind2 get sub exch } bdef
/tri_to_matrix {
2 0 asub 3 1 asub 4 0 asub 5 1 asub
dup 0 get exch 1 get 7 -1 roll astore } bdef
/compute_transform {
dmat dtri tri_to_matrix tmat1 invertmatrix
smat stri tri_to_matrix tmat2 concatmatrix } bdef
/ds {stri astore pop} bdef
/dt {dtri astore pop} bdef
/db {2 copy /cols xdef /rows xdef mul dup 3 mul string
currentfile
3 index 0 eq {/ASCIIHexDecode filter}
{/ASCII85Decode filter 3 index 2 eq {/RunLengthDecode filter} if }
ifelse exch readstring pop
dup 0 3 index getinterval /rbmap xdef
dup 2 index dup getinterval /gbmap xdef
1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef
/it {gs np dtri aload pop moveto lineto lineto cp c
cols rows 8 compute_transform
rbmap gbmap bbmap true 3 colorimage gr}bdef
/il {newpath moveto lineto stroke}bdef
currentdict end def
%%EndProlog
%%BeginSetup
MathWorks begin
0 cap
end
%%EndSetup
%%Page: 1 1
%%BeginPageSetup
%%PageBoundingBox: 56 198 546 600
MathWorks begin
bpage
%%EndPageSetup
%%BeginObject: obj1
bplot
/dpi2point 12 def
portraitMode 0216 7344 csm
457 135 5881 4830 rc
91 dict begin %Colortable dictionary
/c0 { 0 0 0 sr} bdef
/c1 { 1 1 1 sr} bdef
/c2 { 1 0 0 sr} bdef
/c3 { 0 1 0 sr} bdef
/c4 { 0 0 1 sr} bdef
/c5 { 1 1 0 sr} bdef
/c6 { 1 0 1 sr} bdef
/c7 { 0 1 1 sr} bdef
c0
1 j
1 sg
0 0 6914 5188 rf
6 w
0 4228 5357 0 0 -4228 899 4616 4 MP
PP
-5357 0 0 4228 5357 0 0 -4228 899 4616 5 MP stroke
4 w
DO
SO
6 w
0 sg
899 4616 mt 6256 4616 L
899 388 mt 6256 388 L
899 4616 mt 899 388 L
6256 4616 mt 6256 388 L
899 4616 mt 6256 4616 L
899 4616 mt 899 388 L
899 4616 mt 899 4562 L
899 389 mt 899 442 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
796 4761 mt
(-5) s
1664 4616 mt 1664 4562 L
1664 389 mt 1664 442 L
1561 4761 mt
(-4) s
2429 4616 mt 2429 4562 L
2429 389 mt 2429 442 L
2326 4761 mt
(-3) s
3194 4616 mt 3194 4562 L
3194 389 mt 3194 442 L
3091 4761 mt
(-2) s
3960 4616 mt 3960 4562 L
3960 389 mt 3960 442 L
3857 4761 mt
(-1) s
4725 4616 mt 4725 4562 L
4725 389 mt 4725 442 L
4692 4761 mt
(0) s
5490 4616 mt 5490 4562 L
5490 389 mt 5490 442 L
5457 4761 mt
(1) s
6256 4616 mt 6256 4562 L
6256 389 mt 6256 442 L
6223 4761 mt
(2) s
899 4616 mt 952 4616 L
6256 4616 mt 6202 4616 L
628 4660 mt
(-5.5) s
899 4193 mt 952 4193 L
6256 4193 mt 6202 4193 L
728 4237 mt
(-5) s
899 3770 mt 952 3770 L
6256 3770 mt 6202 3770 L
628 3814 mt
(-4.5) s
899 3347 mt 952 3347 L
6256 3347 mt 6202 3347 L
728 3391 mt
(-4) s
899 2925 mt 952 2925 L
6256 2925 mt 6202 2925 L
628 2969 mt
(-3.5) s
899 2502 mt 952 2502 L
6256 2502 mt 6202 2502 L
728 2546 mt
(-3) s
899 2079 mt 952 2079 L
6256 2079 mt 6202 2079 L
628 2123 mt
(-2.5) s
899 1657 mt 952 1657 L
6256 1657 mt 6202 1657 L
728 1701 mt
(-2) s
899 1234 mt 952 1234 L
6256 1234 mt 6202 1234 L
628 1278 mt
(-1.5) s
899 811 mt 952 811 L
6256 811 mt 6202 811 L
728 855 mt
(-1) s
899 389 mt 952 389 L
6256 389 mt 6202 389 L
628 433 mt
(-0.5) s
899 4616 mt 6256 4616 L
899 388 mt 6256 388 L
899 4616 mt 899 388 L
6256 4616 mt 6256 388 L
gs 899 389 5358 4228 rc
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
31 0 32 0 32 0 31 0 32 0 32 0 31 0 32 0
32 0 31 0 32 0 32 0 31 0 32 0 32 255 32 0
31 0 32 0 32 0 31 0 32 0 32 0 31 149 32 0
32 0 31 0 32 0 32 105 31 0 32 0 32 82 31 0
32 0 32 67 31 0 32 57 32 0 31 49 32 43 32 0
31 39 32 35 32 31 32 30 31 27 32 25 32 24 31 22
32 41 32 19 31 35 32 16 32 31 32 28 31 26 32 25
32 23 32 32 31 20 32 28 32 26 31 16 32 23 32 22
32 27 32 19 30 24 33 28 31 21 31 20 32 19 33 18
32 17 30 16 32 16 32 15 35 14 29 14 32 17 35 16
32 18 28 17 31 9 34 16 28 8 42 20 23 12 37 12
28 15 30 15 34 15 37 12 41 9 23 8 25 6 11 1
32 8 35 12 39 10 44 10 45 12 6 5 45 9 16 3
44 16 30 9 45 17 51 16 44 6 51 13 40 8 44 11
51 11 61 22 74 26 44 6 52 17 60 28 74 60 96 4
135 115 230 58 1735 1064 123 MP stroke
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
32 0 32 0 31 251 32 0 32 150 31 105 32 0 32 82
31 67 32 0 32 57 31 49 32 43 32 74 31 31 32 30
32 27 31 25 32 24 32 43 32 39 31 35 32 47 32 42
31 37 32 23 32 42 31 19 32 36 32 41 31 22 32 28
32 25 31 30 32 28 32 30 31 29 32 9 32 4 31 17
32 12 32 20 31 22 32 21 32 20 31 25 32 32 32 29
32 25 31 16 32 16 32 17 31 20 32 19 32 20 32 28
31 27 32 25 31 16 32 26 32 19 32 18 31 19 32 18
32 22 32 23 32 23 31 21 32 26 32 15 30 17 34 23
30 19 31 17 32 22 33 20 33 20 29 20 33 19 31 22
35 23 29 20 32 22 35 17 32 16 28 18 31 16 34 23
29 22 41 24 23 10 38 24 27 13 31 21 33 20 37 23
42 24 22 10 25 20 11 10 32 34 35 27 39 34 44 26
45 21 7 0 44 22 16 13 45 7 29 11 45 12 51 13
44 30 52 9 39 25 44 13 51 24 61 15 74 27 45 0
51 2 60 25 75 5 95 8 135 33 230 21 1600 1049 127 MP stroke
/c10 { 1.000000 0.000000 0.000000 sr} bdef
c10
32 23 32 22 31 22 32 23 32 22 31 22 32 23 32 22
31 22 32 22 32 23 31 22 32 22 32 23 31 22 32 22
32 23 31 22 32 22 32 22 32 23 31 22 32 22 32 23
31 22 32 22 32 23 31 22 32 22 32 22 31 23 32 22
32 22 31 23 32 22 32 22 31 23 32 22 32 22 31 23
32 22 32 22 31 22 32 23 32 22 31 22 32 23 32 22
32 22 31 22 32 23 32 22 31 22 32 23 32 22 32 22
31 23 32 22 31 22 32 23 32 22 32 22 31 23 32 22
32 23 32 22 32 22 31 22 32 23 32 23 30 21 34 23
30 22 31 22 32 22 33 23 33 23 29 21 33 23 31 22
35 25 29 20 32 22 35 25 32 23 28 20 31 21 34 24
29 20 41 29 23 17 38 26 27 20 31 21 33 23 37 26
42 30 22 16 25 17 11 8 32 22 35 25 39 28 44 31
45 31 7 5 44 31 16 11 45 32 29 21 45 31 51 36
44 31 52 36 39 28 44 31 51 36 61 43 74 52 45 31
51 36 60 43 75 52 95 67 135 95 230 162 1600 483 127 MP stroke
/c11 { 0.000000 0.750000 0.750000 sr} bdef
c11
32 37 32 37 31 36 32 36 32 36 31 36 32 36 32 35
31 35 32 35 32 35 31 34 32 34 32 34 31 34 32 33
32 34 31 33 32 33 32 32 32 33 31 32 32 32 32 32
31 31 32 32 32 31 31 31 32 30 32 31 31 30 32 30
32 30 31 29 32 29 32 29 31 29 32 29 32 28 31 29
32 28 32 27 31 28 32 27 32 27 31 27 32 27 32 26
32 26 31 26 32 26 32 26 31 25 32 25 32 25 32 25
31 24 32 24 31 24 32 24 32 23 32 24 31 23 32 23
32 23 32 22 32 22 31 22 32 22 32 22 30 20 34 22
30 20 31 21 32 20 33 21 33 21 29 18 33 20 31 19
35 21 29 17 32 19 35 20 32 19 28 16 31 17 34 19
29 15 41 23 23 12 38 20 27 14 31 15 33 17 37 18
42 21 22 11 25 11 11 6 32 14 35 16 39 18 44 19
45 20 7 2 44 19 16 7 45 18 29 12 45 17 51 19
44 17 52 18 39 14 44 15 51 16 61 19 74 23 45 12
51 15 60 16 75 18 95 22 135 28 230 37 1600 1042 127 MP stroke
gr
c11
0 sg
2742 294 mt
(PDF of transfered file popularity) s
573 3391 mt -90 rotate
(Percentage of all files, log) s
90 rotate
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
633 2025 mt -90 rotate
(10) s
90 rotate
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
573 1919 mt -90 rotate
( scale) s
90 rotate
2371 4882 mt
(Percentage of unique files ranked, log) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
4375 4942 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
4481 4882 mt
( scale) s
1292 3929 mt
(Napster) s
1292 4067 mt
(Gnutella) s
1292 4237 mt
(powerlaw fit,y=-3.21/x) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
2482 4177 mt
(0.64) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
1292 4440 mt
(log-quadratic fit,y=10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
2438 4380 mt
(-3.07x) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 72 FMSR
2728 4320 mt
(2) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
2768 4380 mt
(+-0.75x+-0.08) s
gs 959 3881 2510 676 rc
c8
200 0 1025 3977 2 MP stroke
c9
200 0 1025 4139 2 MP stroke
c10
200 0 1025 4302 2 MP stroke
c11
200 0 1025 4464 2 MP stroke
gr
c11
end
eplot
%%EndObject
epage
end
showpage
%%Trailer
%%EOF
%%EndDocument
@endspecial -72 3079 a Fe(Figure)20 b(4.)g Fg(P)n(opularit)n(y)e
(distribution)g(of)h(transferred)f(\014le)g(lo)r(calit)n(y)-72
3171 y(in)26 b(Napster)f(and)h(Gn)n(utella.)p 278 3222
1267 4 v 276 3321 4 100 v 376 3291 a Fh(t)n(yp)r(e)p
632 3321 V 149 w(\045)i(of)f(\014les)p 1062 3321 V 99
w(\045)g(of)h(b)n(ytes)p 1543 3321 V 278 3325 1267 4
v 276 3424 4 100 v 357 3394 a(audio)p 632 3424 V 240
w(75.5\045)p 1062 3424 V 263 w(77.5\045)p 1543 3424 V
276 3524 V 350 3494 a(image)p 632 3524 V 301 w(14.2)p
1062 3524 V 373 w(0.0)p 1543 3524 V 276 3624 V 372 3594
a(h)n(tml)p 632 3624 V 366 w(3.8)p 1062 3624 V 373 w(0.0)p
1543 3624 V 276 3723 V 360 3693 a(video)p 632 3723 V
355 w(2.7)p 1062 3723 V 332 w(21.4)p 1543 3723 V 276
3823 V 383 3793 a(text)p 632 3823 V 380 w(1.8)p 1062
3823 V 373 w(0.1)p 1543 3823 V 276 3922 V 397 3893 a(exe)p
632 3922 V 393 w(1.0)p 1062 3922 V 373 w(0.7)p 1543 3922
V 276 4022 V 328 3992 a(arc)n(hiv)n(e)p 632 4022 V 321
w(0.1)p 1062 4022 V 373 w(0.2)p 1543 4022 V 276 4122
V 345 4092 a(others)p 632 4122 V 340 w(0.9)p 1062 4122
V 373 w(0.1)p 1543 4122 V 278 4125 1267 4 v 46 4268 a
Fe(T)-7 b(able)28 b(3.)h Fg(Demographics)d(of)g(stored)g(data)g(in)g
(Gn)n(utella.)-72 4520 y Fh(name)f(of)i(eac)n(h)e(signature)f(is)i(sho)
n(wn.)36 b(F)-7 b(or)25 b(example,)g(\\b)r(ec)n(k")-72
4620 y(is)h(really)f(all)g(\014les)i(who)g(signature)f(is)g(\\b)r(c)n
(k".)-72 4816 y Fj(5.2.)32 b(No)s(de)j(Av)-6 b(ailabilit)m(y)-72
4959 y Fh(Studies)32 b(are)g(b)r(eginning)f(to)i(app)r(ear)f(that)h
(prop)r(ose)e(analyt-)-72 5059 y(ical)e(mo)r(dels)h(of)i(the)g(p)r
(erformance)e(c)n(haracteristics)d(of)32 b(P2P)-72 5159
y(applications.)67 b(Tw)n(o)39 b(imp)r(ortan)n(t)e(measures)f(that)k
(ma)n(y)d(b)r(e)-72 5258 y(assumed)h(is)g(the)h(length)g(of)g(sessions)
e(\(on-line)g(time\))h(and)1977 144 y(the)i(amoun)n(t)e(of)i(time)e(a)n
(w)n(a)n(y)f(from)i(the)h(net)n(w)n(ork)e(\(o\013-line)1977
244 y(time\).)d(F)-7 b(or)23 b(example,)f(Figueiredo)f(et)j(al.)3308
214 y Ff(5)3367 244 y Fh(assume)e(that)i(o\013-)1977
344 y(line)g(time)g(is)h(exp)r(onen)n(tially)d(distributed)i(with)h
(some)f(mean.)1977 443 y(The)f(same)f(study)h(assumes)e(that)i(no)r
(des)g(sta)n(y)f(on)h(for)f(as)h(long)1977 543 y(as)42
b(the)h(n)n(um)n(b)r(er)e(of)i(\014les)e(they)i(wish)e(to)i(do)n
(wnload,)h(plus)1977 643 y(some)36 b(\\think")g(time)g(also)f(assumed)h
(to)i(b)r(e)f(exp)r(onen)n(tially)1977 742 y(distributed.)53
b(W)-7 b(e)33 b(w)n(ere)f(able)g(to)h(c)n(haracterize)d(these)j(mea-)
1977 842 y(sures,)k(or)e(measures)f(related)g(to)i(them,)h(from)d(our)h
(exp)r(eri-)1977 941 y(men)n(t.)2060 1088 y(In)48 b(all)c(Gn)n(utella)h
(applications,)j(no)r(des)f(can)g(limit)c(the)1977 1188
y(n)n(um)n(b)r(er)38 b(of)h(p)r(eers)f(that)h(can)g(do)n(wnload)e(from)
g(them)i(con-)1977 1287 y(curren)n(tly)-7 b(.)42 b(W)-7
b(e)31 b(distinguish)c(when)j(no)r(des)g(are)f Fi(available)j
Fh(as)1977 1387 y(serv)n(ers)26 b(of)i(\014les.)36 b(No)r(des)27
b(ma)n(y)f(b)r(e)i(una)n(v)-5 b(ailable)24 b(b)r(ecause)j(the)1977
1486 y(application)d(is)h(not)i(running,)f(or)g(if)g(a)h(user-set)e
(limit)f(on)i(the)1977 1586 y(n)n(um)n(b)r(er)h(of)g(concurren)n(t)g
(do)n(wnloads)e(has)i(b)r(een)h(reac)n(hed.)2060 1733
y(The)35 b(results)e(w)n(e)h(presen)n(t)f(in)h(this)f(section)g(can)h
(b)r(e)h(sum-)1977 1832 y(marized)25 b(as)i(follo)n(ws:)2060
2050 y Fa(\017)41 b Fh(The)h(n)n(um)n(b)r(er)e(of)i(no)r(des)f(a)n(v)-5
b(ailable)37 b(in)k(the)h(net)n(w)n(orks)2143 2150 y(\015uctuates)28
b(and)g(is)e(strongly)f(a\013ected)j(b)n(y)f(time)f(of)i(da)n(y)-7
b(.)2060 2326 y Fa(\017)41 b Fh(Exactly)60 b(whic)n(h)g(no)r(des)i(are)
e(a)n(v)-5 b(ailable)58 b(constan)n(tly)2143 2426 y(c)n(hanges;)25
b(a)h(small)c(p)r(ercen)n(tage)j(of)h(no)r(des)f(are)g(a)n(v)-5
b(ailable)2143 2526 y(for)28 b(do)n(wnloads)d(at)i(an)n(y)g(instan)n
(t.)2060 2702 y Fa(\017)41 b Fh(31\045)h(of)h(the)g(time,)h(no)r(des)f
(w)n(ere)e(a)n(v)-5 b(ailable)38 b(for)k(only)2143 2802
y(ab)r(out)j(a)g(10-min)n(ute)d(p)r(erio)r(d)i(b)r(efore)h(b)r(ecoming)
e(un-)2143 2901 y(a)n(v)-5 b(ailable)35 b(again.)69 b(Appro)n(ximately)
34 b(20\045)39 b(of)f(the)i(ses-)2143 3001 y(sions)24
b(are)g(a)n(v)-5 b(ailable)20 b(for)25 b(at)f(least)g(t)n(w)n(o)g
(hours.)35 b(The)25 b(dis-)2143 3100 y(tribution)d(of)i(session)d
(lengths)h(follo)n(ws)f(a)i(log-quadratic)2143 3200 y(function.)2060
3418 y(Figure)40 b(5)g(sho)n(ws)g(the)h(p)r(ercen)n(tage)f(of)h(p)r
(eers)f(who)h(w)n(ere)1977 3518 y(a)n(v)-5 b(ailable)17
b(\(i.e.,)22 b(the)g(p)r(ort)f(w)n(as)f(op)r(en\))i(after)f(a)g(p)r
(erio)r(d)f(of)h(time)1977 3617 y(since)f(the)i(p)r(eer)f(w)n(as)f
(\014rst)g(disco)n(v)n(ered.)32 b(Sev)n(eral)19 b(lines)g(app)r(ear)
1977 3717 y(on)31 b(the)f(graph.)45 b(The)30 b(lo)n(w)n(est)f(line)f
(is)i(the)g(n)n(um)n(b)r(er)g(of)g(no)r(des)1977 3817
y(a)n(v)-5 b(ailable)36 b(at)j(sp)r(eci\014c)f(cycles)g(of)i(the)f(exp)
r(erimen)n(t.)71 b(Ho)n(w-)1977 3916 y(ev)n(er,)34 b(just)g(ab)r(o)n(v)
n(e)f(is)f(the)i(p)r(ercen)n(tage)e(of)i(no)r(des)f(that)h(w)n(ere)1977
4016 y(a)n(v)-5 b(ailable)24 b(at)j(least)f(once)i(during)e(that)i
(cycle)e(or)h(cycles)f(that)1977 4116 y(o)r(ccurred)38
b(in)g(the)g(previous)f(one)h(hour)g(p)r(erio)r(d)f(b)r(efore)h(the)
1977 4215 y(time)28 b(on)h(the)h(x-axis)d(\(ab)r(out)i(5)g(other)g
(cycles\).)40 b(Other)29 b(lines)1977 4315 y(sho)n(w)i(the)i(p)r(ercen)
n(tage)d(of)i(no)r(des)f(seen)h(during)e(larger)f(time)1977
4414 y(ranges,)d(including)e(if)i(no)r(des)g(w)n(ere)g(seen)g(once)h
(or)e(more)g(dur-)1977 4514 y(ing)k(the)h(en)n(tire)e(exp)r(erimen)n
(t.)41 b(Some)28 b(no)r(des)i(are)e(nev)n(er)h(seen)1977
4614 y(again.)34 b(This)24 b(ma)n(y)f(b)r(e)j(b)r(ecause)e(they)h(get)g
(a)g(new)g(IP)f(address)1977 4713 y(during)34 b(a)i(DHCP)f
(recon\014guration,)g(or)f(b)r(ecause)h(they)h(use)1977
4813 y(Gn)n(utella)22 b(more)g(infrequen)n(tly)f(than)j(once)f(ev)n
(ery)f(\014v)n(e)i(w)n(eeks.)2060 4959 y(W)-7 b(e)23
b(observ)n(ed)e(signi\014can)n(t)e(time-of-da)n(y)h(e\013ects)i(in)g
(the)g(ex-)1977 5059 y(p)r(erimen)n(t.)50 b(Figure)31
b(6)h(illustrates)d(this)j(p)r(oin)n(t)f(more)g(clearly)1977
5159 y(than)h(the)h(previous)c(graphs.)49 b(It)32 b(sho)n(ws)f(the)h(a)
n(v)n(erage)d(n)n(um-)1977 5258 y(b)r(er)36 b(of)g(no)r(des)g(a)n(v)-5
b(ailable)32 b(p)r(er)k(hour)f(of)h(da)n(y)f(\(E.S.T.,)j(lo)r(cal)1915
5507 y(7)p eop
%%Page: 8 8
8 7 bop 436 2161 a @beginspecial 50 @llx 50 @lly 410
@urx 302 @ury 2520 @rhi @setspecial
%%BeginDocument: results/uptime-7.eps
%!PS-Adobe-2.0 EPSF-2.0
%%Title: uptime-7.eps
%%Creator: gnuplot 3.7 patchlevel 1
%%CreationDate: Sun May 5 18:23:08 2002
%%DocumentFonts: (atend)
%%BoundingBox: 50 50 410 302
%%Orientation: Portrait
%%EndComments
/gnudict 256 dict def
gnudict begin
/Color true def
/Solid false def
/gnulinewidth 5.000 def
/userlinewidth gnulinewidth def
/vshift -46 def
/dl {10 mul} def
/hpt_ 31.5 def
/vpt_ 31.5 def
/hpt hpt_ def
/vpt vpt_ def
/M {moveto} bind def
/L {lineto} bind def
/R {rmoveto} bind def
/V {rlineto} bind def
/vpt2 vpt 2 mul def
/hpt2 hpt 2 mul def
/Lshow { currentpoint stroke M
0 vshift R show } def
/Rshow { currentpoint stroke M
dup stringwidth pop neg vshift R show } def
/Cshow { currentpoint stroke M
dup stringwidth pop -2 div vshift R show } def
/UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def
/hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def
/DL { Color {setrgbcolor Solid {pop []} if 0 setdash }
{pop pop pop Solid {pop []} if 0 setdash} ifelse } def
/BL { stroke userlinewidth 2 mul setlinewidth } def
/AL { stroke userlinewidth 2 div setlinewidth } def
/UL { dup gnulinewidth mul /userlinewidth exch def
10 mul /udl exch def } def
/PL { stroke userlinewidth setlinewidth } def
/LTb { BL [] 0 0 0 DL } def
/LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def
/LT0 { PL [] 1 0 0 DL } def
/LT1 { PL [4 dl 2 dl] 0 1 0 DL } def
/LT2 { PL [2 dl 3 dl] 0 0 1 DL } def
/LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def
/LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def
/LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def
/LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def
/LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def
/LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def
/Pnt { stroke [] 0 setdash
gsave 1 setlinecap M 0 0 V stroke grestore } def
/Dia { stroke [] 0 setdash 2 copy vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke
Pnt } def
/Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V
currentpoint stroke M
hpt neg vpt neg R hpt2 0 V stroke
} def
/Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke
Pnt } def
/Crs { stroke [] 0 setdash exch hpt sub exch vpt add M
hpt2 vpt2 neg V currentpoint stroke M
hpt2 neg 0 R hpt2 vpt2 V stroke } def
/TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke
Pnt } def
/Star { 2 copy Pls Crs } def
/BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath fill } def
/TriUF { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath fill } def
/TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke
Pnt } def
/TriDF { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath fill} def
/DiaF { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath fill } def
/Pent { stroke [] 0 setdash 2 copy gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore Pnt } def
/PentF { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath fill grestore } def
/Circle { stroke [] 0 setdash 2 copy
hpt 0 360 arc stroke Pnt } def
/CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def
/C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def
/C1 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
vpt 0 360 arc closepath } bind def
/C2 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C3 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C4 { BL [] 0 setdash 2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C5 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc
2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc } bind def
/C6 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C7 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C8 { BL [] 0 setdash 2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C9 { BL [] 0 setdash 2 copy moveto
2 copy vpt 270 450 arc closepath fill
vpt 0 360 arc closepath } bind def
/C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C11 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C12 { BL [] 0 setdash 2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C13 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C14 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 360 arc closepath fill
vpt 0 360 arc } bind def
/C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath } bind def
/Square { dup Rec } bind def
/Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def
/S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def
/S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def
/S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def
/S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def
/S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def
/S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill
exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def
/S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def
/S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
2 copy vpt Square fill
Bsquare } bind def
/S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def
/S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def
/S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
Bsquare } bind def
/S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
Bsquare } bind def
/S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def
/S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy vpt Square fill Bsquare } bind def
/S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy exch vpt sub exch vpt Square fill Bsquare } bind def
/S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def
/D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def
/D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def
/D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def
/D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def
/D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def
/D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def
/D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def
/D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def
/D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def
/D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def
/D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def
/D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def
/D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def
/D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def
/D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def
/D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def
/DiaE { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke } def
/BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke } def
/TriUE { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke } def
/TriDE { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke } def
/PentE { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore } def
/CircE { stroke [] 0 setdash
hpt 0 360 arc stroke } def
/Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def
/DiaW { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V Opaque stroke } def
/BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V Opaque stroke } def
/TriUW { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V Opaque stroke } def
/TriDW { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V Opaque stroke } def
/PentW { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
Opaque stroke grestore } def
/CircW { stroke [] 0 setdash
hpt 0 360 arc Opaque stroke } def
/BoxFill { gsave Rec 1 setgray fill grestore } def
end
%%EndProlog
gnudict begin
gsave
50 50 translate
0.050 0.050 scale
0 setgray
newpath
(Helvetica) findfont 140 scalefont setfont
1.000 UL
LTb
1.000 UL
LTa
609 903 M
6353 0 V
1.000 UL
LTb
609 903 M
-63 0 V
-84 0 R
(0) Rshow
1.000 UL
LTa
609 1434 M
6353 0 V
1.000 UL
LTb
609 1434 M
-63 0 V
-84 0 R
(10) Rshow
1.000 UL
LTa
609 1965 M
6353 0 V
1.000 UL
LTb
609 1965 M
-63 0 V
-84 0 R
(20) Rshow
1.000 UL
LTa
609 2496 M
6353 0 V
1.000 UL
LTb
609 2496 M
-63 0 V
-84 0 R
(30) Rshow
1.000 UL
LTa
609 3027 M
6353 0 V
1.000 UL
LTb
609 3027 M
-63 0 V
-84 0 R
(40) Rshow
1.000 UL
LTa
609 3558 M
6353 0 V
1.000 UL
LTb
609 3558 M
-63 0 V
-84 0 R
(50) Rshow
1.000 UL
LTa
609 4089 M
6353 0 V
1.000 UL
LTb
609 4089 M
-63 0 V
-84 0 R
(60) Rshow
1.000 UL
LTa
609 4620 M
6353 0 V
1.000 UL
LTb
609 4620 M
-63 0 V
-84 0 R
(70) Rshow
609 903 M
0 -63 V
0 -140 R
(0) Cshow
1403 903 M
0 -63 V
0 -140 R
(5) Cshow
2197 903 M
0 -63 V
0 -140 R
(10) Cshow
2991 903 M
0 -63 V
0 -140 R
(15) Cshow
3785 903 M
0 -63 V
0 -140 R
(20) Cshow
4580 903 M
0 -63 V
0 -140 R
(25) Cshow
5374 903 M
0 -63 V
0 -140 R
(30) Cshow
6168 903 M
0 -63 V
0 -140 R
(35) Cshow
6962 903 M
0 -63 V
0 -140 R
(40) Cshow
1.000 UL
LTb
609 903 M
6353 0 V
0 3717 V
-6353 0 V
609 903 L
140 2761 M
currentpoint gsave translate 90 rotate 0 0 M
(active nodes \(%\)) Cshow
grestore
3785 490 M
(time since discovered \(days\)) Cshow
3785 4830 M
(Active Nodes \(out of 5000\)) Cshow
1.000 UL
LTb
449 0 M
0 280 V
6487 0 V
6936 0 L
449 0 L
0 280 R
6487 0 V
1.000 UL
LT0
1793 210 M
(instant) Rshow
1877 210 M
399 0 V
609 2538 M
31 -703 V
1 13 V
1 -8 V
1 -53 V
1 4 V
1 -31 V
1 6 V
2 -21 V
1 -38 V
1 3 V
1 -24 V
1 6 V
1 -17 V
1 -12 V
1 -8 V
1 -11 V
1 1 V
2 -41 V
1 1 V
1 -10 V
1 22 V
1 -30 V
1 1 V
1 1 V
1 -1 V
1 -35 V
2 14 V
1 -3 V
1 19 V
1 -11 V
1 -8 V
1 3 V
1 7 V
1 -14 V
1 -4 V
1 -7 V
2 2 V
1 1 V
1 -27 V
1 25 V
1 -26 V
1 12 V
1 3 V
1 5 V
1 -15 V
1 -4 V
2 -1 V
1 7 V
1 -22 V
1 21 V
1 4 V
1 -21 V
1 6 V
1 -10 V
1 16 V
1 -8 V
2 -4 V
1 -1 V
1 -6 V
1 6 V
1 -7 V
1 0 V
1 12 V
1 3 V
1 6 V
2 3 V
1 7 V
1 -17 V
1 3 V
1 7 V
1 11 V
1 -2 V
1 4 V
28 57 V
1 -6 V
1 -4 V
1 -7 V
1 -7 V
2 15 V
1 -11 V
1 -13 V
1 16 V
1 -14 V
1 -1 V
1 -3 V
1 2 V
1 -6 V
1 -12 V
2 20 V
1 2 V
1 -2 V
1 -14 V
1 7 V
1 13 V
1 -19 V
1 8 V
1 -2 V
1 -5 V
2 -8 V
1 -4 V
1 3 V
1 -20 V
1 -1 V
1 7 V
1 5 V
1 -4 V
1 15 V
2 -17 V
1 -14 V
1 7 V
1 -13 V
1 -23 V
1 0 V
1 -7 V
1 -1 V
1 -10 V
1 10 V
2 -9 V
1 10 V
1 -1 V
1 -7 V
1 -15 V
1 0 V
1 -13 V
1 9 V
1 -10 V
1 -14 V
2 0 V
1 -7 V
1 -14 V
1 -4 V
1 -5 V
1 -3 V
1 -2 V
1 -9 V
1 -8 V
1 1 V
2 9 V
1 -21 V
1 -2 V
1 -3 V
1 3 V
1 -6 V
1 6 V
1 -8 V
1 -7 V
2 -8 V
1 7 V
1 -9 V
1 4 V
1 2 V
1 2 V
1 -5 V
1 -16 V
1 5 V
1 16 V
2 -11 V
1 0 V
1 -3 V
1 -7 V
1 7 V
1 -13 V
1 2 V
1 -4 V
1 6 V
1 0 V
2 13 V
1 2 V
1 7 V
1 2 V
1 -3 V
1 -8 V
1 11 V
1 -13 V
1 -5 V
2 12 V
1 -22 V
1 9 V
1 3 V
1 2 V
1 10 V
1 21 V
1 -8 V
1 8 V
1 8 V
2 4 V
1 -10 V
1 12 V
1 16 V
1 -2 V
1 -1 V
1 24 V
1 -14 V
1 15 V
1 -5 V
2 12 V
1 -2 V
1 -8 V
1 21 V
1 -17 V
1 18 V
1 13 V
1 -11 V
1 12 V
2 -12 V
1 14 V
1 -5 V
1 5 V
1 11 V
1 -13 V
1 3 V
1 16 V
1 -16 V
1 9 V
2 9 V
1 0 V
1 -4 V
1 -1 V
1 6 V
1 -5 V
1 14 V
1 -24 V
1 8 V
1 -18 V
2 -8 V
1 -3 V
1 7 V
1 1 V
1 -9 V
1 -1 V
1 -3 V
1 8 V
1 -7 V
1 8 V
2 21 V
1 -32 V
1 23 V
1 -5 V
1 -8 V
1 4 V
1 -14 V
1 -11 V
1 -1 V
2 3 V
1 -8 V
1 -7 V
1 7 V
1 -5 V
1 18 V
1 -22 V
1 2 V
1 10 V
1 1 V
2 0 V
1 -28 V
1 10 V
1 0 V
1 11 V
1 -14 V
1 -3 V
1 -13 V
1 -2 V
1 -2 V
2 2 V
1 -9 V
1 -3 V
1 3 V
1 -2 V
1 13 V
1 -16 V
1 -10 V
1 -3 V
1 -13 V
2 11 V
1 -18 V
1 -5 V
1 -11 V
1 5 V
1 12 V
1 -1 V
1 -16 V
1 1 V
2 -16 V
1 -4 V
1 -1 V
1 -4 V
1 -3 V
1 3 V
1 -14 V
1 12 V
1 -3 V
1 2 V
2 -5 V
1 -11 V
1 13 V
1 -7 V
1 12 V
1 4 V
1 -17 V
1 3 V
1 -5 V
2 -6 V
1 -4 V
1 3 V
1 1 V
1 -5 V
1 2 V
1 -2 V
1 3 V
1 -4 V
1 5 V
2 -4 V
1 0 V
1 -2 V
1 7 V
1 -2 V
1 8 V
1 9 V
1 -4 V
1 -2 V
1 1 V
2 0 V
1 10 V
1 -8 V
1 4 V
1 0 V
1 5 V
1 7 V
1 -5 V
1 8 V
1 13 V
2 8 V
1 3 V
1 20 V
1 2 V
1 6 V
1 3 V
1 9 V
1 2 V
1 -13 V
2 0 V
1 -8 V
1 13 V
1 -5 V
1 15 V
1 -16 V
1 14 V
1 9 V
1 5 V
1 -11 V
2 -1 V
1 12 V
1 4 V
1 0 V
1 -4 V
1 5 V
1 1 V
1 -19 V
1 12 V
1 6 V
2 0 V
1 4 V
1 -6 V
1 -1 V
1 -4 V
1 -6 V
1 -6 V
1 -1 V
1 -8 V
1 5 V
2 -4 V
1 17 V
1 -6 V
1 11 V
1 0 V
1 -10 V
1 16 V
1 -9 V
1 9 V
2 -5 V
1 14 V
1 3 V
1 1 V
1 -1 V
1 -4 V
1 6 V
1 6 V
1 -11 V
1 4 V
2 2 V
1 -9 V
1 11 V
1 -9 V
1 -6 V
1 -1 V
1 -10 V
1 -15 V
currentpoint stroke M
1 -4 V
2 -5 V
1 19 V
1 -13 V
1 -5 V
1 -6 V
1 -1 V
1 -2 V
1 -7 V
1 -18 V
1 7 V
2 6 V
1 -16 V
1 -7 V
1 -9 V
1 -11 V
1 4 V
1 0 V
1 -6 V
1 -4 V
1 5 V
2 -3 V
1 -6 V
1 -7 V
1 1 V
1 -13 V
1 -3 V
1 1 V
1 -11 V
1 -3 V
1 7 V
2 -6 V
1 5 V
1 7 V
1 -1 V
1 -10 V
1 -8 V
1 0 V
1 1 V
1 5 V
2 12 V
1 -18 V
1 -4 V
1 11 V
1 8 V
1 -7 V
1 -6 V
1 10 V
1 4 V
1 -8 V
2 4 V
1 -17 V
1 14 V
1 -2 V
1 13 V
1 2 V
1 -12 V
1 -6 V
1 5 V
1 2 V
2 12 V
1 -14 V
1 -7 V
1 5 V
1 1 V
1 2 V
1 15 V
1 -3 V
1 -1 V
2 -3 V
1 16 V
1 6 V
1 10 V
1 -17 V
1 26 V
1 -17 V
1 -4 V
1 7 V
1 7 V
2 -7 V
1 11 V
1 4 V
1 -3 V
1 5 V
1 17 V
1 -6 V
1 -5 V
1 6 V
1 7 V
2 5 V
1 -9 V
1 4 V
1 -2 V
1 12 V
1 -13 V
1 -1 V
1 8 V
1 7 V
2 7 V
1 0 V
1 5 V
1 1 V
1 3 V
1 2 V
1 6 V
1 4 V
1 7 V
1 6 V
2 -1 V
1 5 V
1 -12 V
1 20 V
1 -12 V
1 22 V
1 4 V
1 1 V
1 -10 V
1 9 V
2 1 V
1 6 V
1 5 V
1 5 V
1 -1 V
1 2 V
1 -4 V
1 0 V
1 -11 V
1 1 V
2 20 V
1 9 V
1 -17 V
1 0 V
1 3 V
1 -9 V
1 3 V
1 -11 V
1 23 V
2 -15 V
1 18 V
1 -8 V
1 -9 V
1 6 V
1 6 V
1 -10 V
1 -9 V
1 -9 V
1 1 V
2 -9 V
1 -8 V
1 -5 V
1 -4 V
1 8 V
1 -10 V
1 1 V
1 -15 V
1 6 V
1 -4 V
2 -5 V
1 -14 V
1 -4 V
1 9 V
1 -6 V
1 -22 V
1 4 V
1 -9 V
1 -9 V
2 12 V
1 -3 V
1 -14 V
1 -5 V
1 -14 V
1 9 V
1 8 V
1 -12 V
1 5 V
1 -4 V
2 -6 V
1 11 V
1 1 V
1 -14 V
1 -5 V
1 -8 V
1 5 V
1 3 V
1 -1 V
1 -5 V
2 4 V
1 -19 V
1 5 V
1 -9 V
1 12 V
1 -3 V
1 3 V
1 -7 V
1 10 V
2 -9 V
1 7 V
1 -4 V
1 15 V
1 -2 V
1 -12 V
1 11 V
1 4 V
1 -2 V
1 9 V
2 3 V
1 -6 V
1 4 V
1 -2 V
1 5 V
1 -18 V
1 18 V
1 4 V
1 4 V
1 -6 V
2 2 V
1 9 V
1 -1 V
1 8 V
1 -1 V
1 4 V
1 8 V
1 -15 V
1 8 V
1 17 V
2 -5 V
1 17 V
1 -13 V
1 2 V
1 11 V
1 -8 V
1 -2 V
1 13 V
1 2 V
2 -7 V
1 11 V
1 -5 V
1 16 V
1 -7 V
1 4 V
1 4 V
1 0 V
1 0 V
1 -10 V
2 19 V
1 -10 V
1 2 V
1 -3 V
1 7 V
1 3 V
1 6 V
1 10 V
1 -6 V
1 23 V
2 -1 V
1 4 V
1 -1 V
1 0 V
1 5 V
1 14 V
1 8 V
1 11 V
1 -6 V
2 8 V
1 -2 V
1 -6 V
1 -22 V
1 16 V
1 2 V
1 5 V
1 -5 V
1 -4 V
1 2 V
2 0 V
1 9 V
1 -9 V
1 13 V
1 -9 V
1 -5 V
1 6 V
1 -3 V
1 0 V
1 -9 V
2 -3 V
1 3 V
1 2 V
1 -13 V
1 -11 V
1 1 V
1 1 V
1 6 V
1 -5 V
2 0 V
1 -2 V
1 -5 V
1 -21 V
1 5 V
1 6 V
1 -2 V
1 -21 V
1 -5 V
1 2 V
2 -4 V
1 1 V
1 4 V
1 -23 V
1 -11 V
1 13 V
1 -7 V
1 -14 V
1 1 V
1 -20 V
2 12 V
1 -9 V
1 0 V
1 0 V
1 -21 V
1 14 V
1 -9 V
1 3 V
1 6 V
1 -5 V
2 -5 V
1 -6 V
1 -3 V
1 -1 V
1 -1 V
1 -1 V
1 -5 V
1 4 V
1 0 V
2 -4 V
1 3 V
1 14 V
1 -3 V
1 0 V
1 -4 V
1 9 V
1 -5 V
1 -1 V
1 -8 V
2 3 V
1 3 V
1 -1 V
1 0 V
1 2 V
1 -5 V
1 -2 V
1 -1 V
1 11 V
1 -4 V
2 -4 V
1 8 V
1 -15 V
1 14 V
1 -11 V
1 11 V
1 11 V
1 -17 V
1 -9 V
2 11 V
1 -7 V
1 3 V
1 -2 V
1 7 V
1 5 V
1 -6 V
1 5 V
1 -7 V
1 21 V
2 -8 V
1 16 V
1 -2 V
1 -3 V
1 13 V
1 -9 V
1 4 V
1 -4 V
1 11 V
1 -9 V
2 10 V
1 4 V
1 4 V
1 12 V
1 -2 V
1 5 V
1 -1 V
1 -12 V
1 5 V
2 17 V
1 -3 V
1 22 V
1 -6 V
1 1 V
1 -12 V
1 24 V
1 2 V
1 -6 V
1 0 V
2 9 V
currentpoint stroke M
1 -5 V
1 10 V
1 -8 V
1 3 V
1 7 V
1 4 V
1 -4 V
1 -1 V
1 10 V
2 -16 V
1 16 V
1 1 V
1 -10 V
1 -1 V
1 -6 V
1 4 V
1 0 V
1 15 V
1 -10 V
2 2 V
1 0 V
1 -13 V
1 -13 V
1 26 V
1 -2 V
1 -9 V
1 -5 V
1 3 V
2 -15 V
1 -7 V
1 -2 V
1 7 V
1 -9 V
1 -10 V
1 2 V
1 -12 V
1 4 V
1 -1 V
2 -3 V
1 6 V
1 -11 V
1 -27 V
1 4 V
1 0 V
1 2 V
1 -20 V
1 5 V
1 -11 V
2 19 V
1 -9 V
1 -10 V
1 -13 V
1 0 V
1 -5 V
1 1 V
1 -6 V
1 1 V
2 1 V
1 -6 V
1 -6 V
1 -1 V
1 -7 V
1 -9 V
1 8 V
1 -12 V
1 2 V
1 -4 V
2 0 V
1 -2 V
1 11 V
1 -10 V
1 -4 V
1 -7 V
1 -1 V
1 8 V
1 -7 V
1 0 V
2 3 V
1 -1 V
1 1 V
1 2 V
1 -13 V
1 16 V
1 -5 V
1 -3 V
1 -6 V
2 -1 V
1 12 V
1 -10 V
1 15 V
1 3 V
1 -3 V
1 -2 V
1 10 V
1 -10 V
1 8 V
2 0 V
1 2 V
1 7 V
1 -5 V
1 5 V
1 -2 V
1 2 V
1 4 V
1 -5 V
1 1 V
2 4 V
1 6 V
1 -9 V
1 -2 V
1 6 V
1 -12 V
1 15 V
1 15 V
1 -6 V
1 8 V
2 -2 V
1 0 V
1 5 V
1 -14 V
1 15 V
1 2 V
1 0 V
1 3 V
1 12 V
2 -9 V
1 6 V
1 3 V
1 3 V
1 15 V
1 4 V
1 -15 V
1 17 V
1 2 V
1 -7 V
2 -3 V
1 -6 V
1 16 V
1 2 V
1 -8 V
1 4 V
1 10 V
1 21 V
1 -9 V
1 14 V
2 -1 V
1 -7 V
1 7 V
1 8 V
1 4 V
1 -9 V
1 9 V
1 3 V
1 0 V
2 -1 V
1 -10 V
1 12 V
1 2 V
1 2 V
1 -5 V
1 -11 V
1 22 V
1 -15 V
1 -3 V
2 -9 V
1 1 V
1 10 V
1 -12 V
1 11 V
1 4 V
1 0 V
1 -7 V
1 0 V
1 -5 V
2 -4 V
1 2 V
1 -12 V
1 -22 V
1 7 V
1 -9 V
1 3 V
1 12 V
1 -15 V
2 2 V
1 3 V
1 -2 V
1 -15 V
1 -4 V
1 -4 V
1 17 V
1 -18 V
1 -1 V
1 -16 V
2 0 V
1 6 V
1 -18 V
1 2 V
1 -5 V
1 1 V
1 4 V
1 -4 V
1 -21 V
1 -4 V
2 4 V
1 -6 V
1 12 V
1 3 V
1 1 V
1 -3 V
1 -5 V
1 5 V
1 -4 V
1 -14 V
2 7 V
1 -4 V
1 7 V
1 -1 V
1 -11 V
1 10 V
1 -8 V
1 -5 V
1 3 V
2 2 V
1 -3 V
1 -6 V
1 10 V
1 -1 V
1 3 V
1 6 V
1 -12 V
1 12 V
1 -25 V
2 27 V
1 5 V
1 -7 V
1 -2 V
1 10 V
1 -3 V
1 2 V
1 17 V
1 -22 V
1 14 V
2 0 V
1 -8 V
1 3 V
1 12 V
1 -7 V
1 0 V
1 16 V
1 -13 V
1 13 V
2 9 V
1 -11 V
1 12 V
1 5 V
1 -11 V
1 20 V
1 -2 V
1 5 V
1 -6 V
1 1 V
2 20 V
1 -2 V
1 -11 V
1 -10 V
1 -1 V
1 7 V
1 10 V
1 -15 V
1 7 V
1 2 V
2 -6 V
1 5 V
1 1 V
1 11 V
1 1 V
1 9 V
1 10 V
1 5 V
1 7 V
2 -5 V
1 -18 V
1 7 V
1 -6 V
1 4 V
1 9 V
1 -3 V
1 4 V
1 9 V
1 9 V
2 -9 V
1 -3 V
1 2 V
1 10 V
1 -3 V
1 0 V
1 7 V
1 -2 V
1 11 V
1 10 V
2 3 V
1 -5 V
1 0 V
1 0 V
1 4 V
1 -10 V
1 12 V
1 -2 V
1 5 V
1 -20 V
2 -1 V
1 0 V
1 1 V
1 8 V
1 -17 V
1 16 V
1 -8 V
1 2 V
1 11 V
2 -14 V
1 -17 V
1 7 V
1 -11 V
1 4 V
1 -10 V
1 -5 V
1 8 V
1 4 V
1 0 V
2 -25 V
1 -7 V
1 10 V
1 -4 V
1 5 V
1 -13 V
1 2 V
1 6 V
1 -7 V
1 3 V
2 -5 V
1 -7 V
1 7 V
1 5 V
1 -16 V
1 -6 V
1 -10 V
1 -7 V
1 6 V
2 -7 V
1 -11 V
1 -3 V
1 -1 V
1 3 V
1 -2 V
1 6 V
1 -1 V
1 -5 V
1 -8 V
2 7 V
1 -11 V
1 1 V
1 -9 V
1 6 V
1 -5 V
1 4 V
1 -2 V
1 -7 V
1 2 V
2 4 V
1 7 V
1 -13 V
1 -3 V
1 4 V
1 11 V
1 -11 V
1 9 V
1 0 V
2 -4 V
1 2 V
1 0 V
1 6 V
1 -1 V
1 -2 V
1 7 V
1 11 V
1 1 V
1 -1 V
2 -4 V
1 1 V
1 -2 V
1 21 V
1 -5 V
1 11 V
1 -6 V
1 -2 V
1 3 V
1 14 V
2 2 V
1 -18 V
1 7 V
currentpoint stroke M
1 10 V
1 -4 V
1 -7 V
1 -4 V
1 1 V
1 6 V
1 14 V
2 -1 V
1 15 V
1 2 V
1 5 V
1 -4 V
1 2 V
1 -2 V
1 17 V
1 8 V
2 -17 V
1 -2 V
1 12 V
1 2 V
1 -3 V
1 -2 V
1 0 V
1 5 V
1 4 V
1 -8 V
2 0 V
1 -3 V
1 12 V
1 4 V
1 2 V
1 -5 V
1 5 V
1 1 V
1 -14 V
1 2 V
2 5 V
1 -9 V
1 0 V
1 7 V
1 12 V
1 10 V
1 -14 V
1 19 V
1 2 V
2 -3 V
1 -4 V
1 -5 V
1 4 V
1 -7 V
1 -3 V
1 11 V
1 -9 V
1 -4 V
1 -6 V
2 -3 V
1 -2 V
1 2 V
1 -6 V
1 1 V
1 1 V
1 5 V
1 1 V
1 15 V
1 -7 V
2 -1 V
1 5 V
1 -3 V
1 -8 V
1 -2 V
1 4 V
1 -5 V
1 -5 V
1 -1 V
2 -13 V
1 5 V
1 -3 V
1 1 V
1 -8 V
1 -9 V
1 1 V
1 -16 V
1 13 V
1 -6 V
2 -13 V
1 0 V
1 21 V
1 -19 V
1 -5 V
1 -5 V
1 6 V
1 -8 V
1 3 V
1 1 V
2 -13 V
1 -11 V
1 5 V
1 5 V
1 -5 V
1 -3 V
1 -12 V
1 -5 V
1 -3 V
1 12 V
2 -6 V
1 -4 V
1 5 V
1 2 V
1 -10 V
1 5 V
1 -7 V
1 4 V
1 1 V
2 -8 V
1 11 V
1 -2 V
1 -8 V
1 0 V
1 -1 V
1 0 V
1 5 V
1 -6 V
1 7 V
2 -3 V
1 6 V
1 3 V
1 2 V
1 1 V
1 -12 V
1 13 V
1 15 V
1 5 V
1 -3 V
2 -5 V
1 9 V
1 3 V
1 -7 V
1 -5 V
1 14 V
1 2 V
1 -4 V
1 -5 V
2 12 V
1 3 V
1 1 V
1 -8 V
1 2 V
1 11 V
1 -10 V
1 12 V
1 4 V
1 0 V
2 2 V
1 10 V
1 0 V
1 -7 V
1 18 V
1 -14 V
1 7 V
1 -8 V
1 10 V
1 3 V
2 16 V
1 -8 V
1 2 V
1 6 V
1 13 V
1 -6 V
1 7 V
1 1 V
1 -4 V
2 2 V
1 16 V
1 -11 V
1 -2 V
1 2 V
1 -3 V
1 2 V
1 2 V
1 -6 V
1 4 V
2 -6 V
1 -1 V
1 9 V
1 -7 V
1 18 V
1 -4 V
1 6 V
1 -2 V
1 6 V
1 11 V
2 -14 V
1 10 V
1 -34 V
1 6 V
1 5 V
1 8 V
1 3 V
1 -9 V
1 1 V
1 -8 V
2 2 V
1 -2 V
1 -1 V
1 -8 V
1 -4 V
1 3 V
1 -8 V
1 -7 V
1 -8 V
2 0 V
1 -11 V
1 4 V
1 -4 V
1 3 V
1 -17 V
1 -3 V
1 -10 V
1 -4 V
1 1 V
2 -7 V
1 11 V
1 -11 V
1 -13 V
1 2 V
1 -6 V
1 3 V
1 -17 V
1 -6 V
1 6 V
2 -16 V
1 -4 V
1 12 V
1 -4 V
1 5 V
1 -3 V
1 -2 V
1 0 V
1 0 V
2 -11 V
1 5 V
1 -2 V
1 7 V
1 -7 V
1 -2 V
1 1 V
1 -1 V
1 -13 V
1 5 V
2 5 V
1 -2 V
1 -11 V
1 1 V
1 6 V
1 8 V
1 1 V
1 -3 V
1 5 V
1 1 V
2 -11 V
1 0 V
1 -1 V
1 0 V
1 -7 V
1 8 V
1 8 V
1 2 V
1 -6 V
2 -4 V
1 11 V
1 5 V
1 -5 V
1 -4 V
1 5 V
1 0 V
1 1 V
1 7 V
1 -3 V
2 4 V
1 6 V
1 3 V
1 -1 V
1 -16 V
1 5 V
1 10 V
1 3 V
1 -3 V
1 -1 V
2 10 V
1 -4 V
1 1 V
1 5 V
1 19 V
1 -7 V
1 -3 V
1 10 V
1 0 V
1 7 V
2 -12 V
1 3 V
1 9 V
1 3 V
1 -5 V
1 7 V
1 16 V
1 -4 V
1 5 V
2 -8 V
1 3 V
1 11 V
1 10 V
1 13 V
1 1 V
1 -3 V
1 2 V
1 -1 V
1 10 V
2 4 V
1 3 V
1 4 V
1 2 V
1 8 V
1 -3 V
1 8 V
1 -4 V
1 -4 V
1 3 V
2 0 V
1 -6 V
1 8 V
1 -3 V
1 -1 V
1 12 V
1 -22 V
1 2 V
1 8 V
2 9 V
1 -10 V
1 -4 V
1 12 V
1 -12 V
1 -2 V
1 -6 V
1 7 V
1 -8 V
1 -1 V
2 3 V
1 -13 V
1 7 V
1 -10 V
1 -12 V
1 -7 V
1 -5 V
1 1 V
1 -17 V
1 10 V
2 4 V
1 -1 V
1 -18 V
1 -7 V
1 4 V
1 -6 V
1 -11 V
1 4 V
1 -7 V
2 -3 V
1 -19 V
1 1 V
1 -8 V
1 3 V
1 -4 V
1 4 V
1 -1 V
1 0 V
1 -14 V
2 5 V
1 -4 V
1 1 V
1 -5 V
1 -8 V
1 -2 V
1 -1 V
1 11 V
1 -7 V
1 -1 V
2 5 V
1 -11 V
1 -5 V
1 8 V
1 -4 V
1 6 V
1 -9 V
1 -4 V
1 5 V
1 -4 V
2 -1 V
1 -1 V
1 -7 V
1 7 V
1 -4 V
currentpoint stroke M
1 7 V
1 0 V
1 7 V
1 -5 V
2 -7 V
1 9 V
1 2 V
1 3 V
1 0 V
1 2 V
1 0 V
1 10 V
1 -2 V
1 -2 V
2 2 V
1 -2 V
1 1 V
1 4 V
1 -5 V
1 1 V
1 3 V
1 8 V
1 -11 V
1 -3 V
2 -3 V
1 14 V
1 12 V
1 -1 V
1 6 V
1 13 V
1 -14 V
1 8 V
1 -6 V
2 7 V
1 -2 V
1 8 V
1 -6 V
1 5 V
1 6 V
1 9 V
1 -8 V
1 6 V
1 -3 V
2 -3 V
1 0 V
1 5 V
1 9 V
1 7 V
1 -6 V
1 5 V
1 1 V
1 6 V
1 2 V
2 0 V
1 9 V
1 -4 V
1 7 V
1 2 V
1 7 V
1 -4 V
1 9 V
1 9 V
1 -2 V
2 -23 V
1 21 V
1 -8 V
1 11 V
1 2 V
1 -2 V
1 -5 V
1 12 V
1 5 V
2 -2 V
1 6 V
1 -3 V
1 8 V
1 3 V
1 0 V
1 -9 V
1 11 V
1 7 V
1 -10 V
2 -11 V
1 -1 V
1 -2 V
1 -11 V
1 4 V
1 -9 V
1 -1 V
1 1 V
1 -16 V
1 4 V
2 -3 V
1 -7 V
1 6 V
1 -15 V
1 -12 V
1 -5 V
1 -7 V
1 0 V
1 -10 V
2 -5 V
1 -7 V
1 12 V
1 2 V
1 -7 V
1 -8 V
1 6 V
1 -6 V
1 15 V
1 -11 V
2 0 V
1 2 V
1 -10 V
1 0 V
1 8 V
1 -12 V
1 -16 V
1 3 V
1 0 V
1 -8 V
2 -5 V
1 9 V
1 -12 V
1 7 V
1 -2 V
1 -4 V
1 2 V
1 -2 V
1 1 V
2 -2 V
1 -4 V
1 -12 V
1 12 V
1 -2 V
1 -5 V
1 -4 V
1 6 V
1 -4 V
1 4 V
2 7 V
1 -14 V
1 6 V
1 3 V
1 8 V
1 -6 V
1 8 V
1 -6 V
1 -2 V
1 8 V
2 2 V
1 1 V
1 3 V
1 -1 V
1 0 V
1 -8 V
1 1 V
1 -2 V
1 -4 V
1 2 V
2 2 V
1 3 V
1 7 V
1 6 V
1 1 V
1 1 V
1 9 V
1 -1 V
1 -9 V
2 9 V
1 0 V
1 0 V
1 1 V
1 7 V
1 -2 V
1 8 V
1 -9 V
1 2 V
1 3 V
2 -1 V
1 -1 V
1 -1 V
1 8 V
1 0 V
1 6 V
1 -4 V
1 11 V
1 -1 V
1 -5 V
2 12 V
1 10 V
1 -11 V
1 5 V
1 7 V
1 18 V
1 -5 V
1 5 V
1 17 V
2 -6 V
1 2 V
1 8 V
1 -11 V
1 8 V
1 1 V
1 6 V
1 14 V
1 -14 V
1 4 V
2 12 V
1 -22 V
1 18 V
1 1 V
1 17 V
1 3 V
1 5 V
1 6 V
1 5 V
1 -7 V
2 7 V
1 4 V
1 -9 V
1 -6 V
1 7 V
1 -8 V
1 1 V
1 -1 V
1 9 V
2 2 V
1 -11 V
1 -5 V
1 -3 V
1 -10 V
1 2 V
1 -5 V
1 -9 V
1 -5 V
1 0 V
2 -8 V
1 1 V
1 -8 V
1 1 V
1 -11 V
1 -4 V
1 3 V
1 -7 V
1 8 V
1 -16 V
2 -7 V
1 2 V
1 -16 V
1 2 V
1 -6 V
1 -13 V
1 6 V
1 -22 V
1 -12 V
1 4 V
2 -4 V
1 3 V
1 -8 V
1 0 V
1 3 V
1 0 V
1 -11 V
1 9 V
1 -8 V
2 -1 V
1 0 V
1 10 V
1 -17 V
1 -6 V
1 5 V
1 -3 V
1 -1 V
1 -6 V
1 -1 V
2 3 V
1 -1 V
1 -9 V
1 4 V
1 0 V
1 1 V
1 0 V
1 -4 V
1 1 V
1 8 V
2 -8 V
1 2 V
1 1 V
1 6 V
1 8 V
1 -5 V
1 6 V
1 -3 V
1 8 V
2 -4 V
1 1 V
1 -4 V
1 3 V
1 9 V
1 -2 V
1 -4 V
1 4 V
1 -6 V
1 9 V
2 1 V
1 -1 V
1 -7 V
1 7 V
1 7 V
1 9 V
1 -5 V
1 -6 V
1 9 V
1 2 V
2 3 V
1 4 V
1 3 V
1 -4 V
1 0 V
1 7 V
1 2 V
1 7 V
1 -6 V
1 5 V
2 1 V
1 0 V
1 9 V
1 -6 V
1 6 V
1 -8 V
1 12 V
1 7 V
1 -2 V
2 4 V
1 -10 V
1 4 V
1 0 V
1 19 V
1 -8 V
1 3 V
1 13 V
1 5 V
1 -11 V
2 10 V
1 8 V
1 -3 V
1 -6 V
1 -19 V
1 11 V
1 7 V
1 14 V
1 13 V
1 -4 V
2 5 V
1 -4 V
1 19 V
1 -6 V
1 -7 V
1 10 V
1 5 V
1 5 V
1 -4 V
2 -8 V
1 -3 V
1 4 V
1 12 V
1 -9 V
1 -7 V
1 -2 V
1 1 V
1 0 V
1 -2 V
2 -7 V
1 15 V
1 -8 V
1 3 V
1 -15 V
1 16 V
1 -10 V
1 -4 V
1 4 V
1 -10 V
2 -16 V
1 -6 V
1 12 V
1 -6 V
1 -6 V
1 0 V
1 3 V
1 -3 V
1 -5 V
2 -8 V
1 -1 V
1 -5 V
1 4 V
1 -9 V
1 -7 V
1 3 V
1 7 V
currentpoint stroke M
1 -14 V
1 5 V
2 -15 V
1 3 V
1 4 V
1 -1 V
1 -7 V
1 -14 V
1 0 V
1 0 V
1 12 V
1 -4 V
2 -13 V
1 0 V
1 0 V
1 -7 V
1 1 V
1 1 V
1 -1 V
1 -15 V
1 8 V
1 6 V
2 -5 V
1 -2 V
1 2 V
1 2 V
1 -5 V
1 -1 V
1 -6 V
1 7 V
1 2 V
2 3 V
1 -5 V
1 6 V
1 2 V
1 -2 V
1 -6 V
1 11 V
1 -7 V
1 5 V
1 -3 V
2 -2 V
1 -3 V
1 6 V
1 7 V
1 1 V
1 -6 V
1 -6 V
1 5 V
1 -8 V
1 1 V
2 -1 V
1 6 V
1 6 V
1 -1 V
1 8 V
1 -3 V
1 0 V
1 2 V
1 2 V
2 1 V
1 3 V
1 2 V
1 8 V
1 9 V
1 -18 V
1 7 V
1 5 V
1 -4 V
1 11 V
2 -1 V
1 6 V
1 -10 V
1 13 V
1 -3 V
1 11 V
1 6 V
1 6 V
1 -5 V
1 2 V
2 2 V
1 3 V
1 1 V
1 -1 V
1 10 V
1 -8 V
1 12 V
1 -1 V
1 9 V
2 -1 V
1 -1 V
1 14 V
1 -11 V
1 14 V
1 -4 V
1 6 V
1 -3 V
1 6 V
1 -3 V
2 -5 V
1 -1 V
1 10 V
1 -12 V
1 20 V
1 -11 V
1 0 V
1 8 V
1 -12 V
1 -5 V
2 8 V
1 1 V
1 -5 V
1 -7 V
1 -12 V
1 2 V
1 -1 V
1 2 V
1 -10 V
1 8 V
2 1 V
1 5 V
1 7 V
1 -17 V
1 8 V
1 2 V
1 -14 V
1 -4 V
1 -5 V
2 -5 V
1 4 V
1 -4 V
1 -8 V
1 -9 V
1 6 V
1 2 V
1 -14 V
1 -5 V
1 1 V
2 4 V
1 -2 V
1 -1 V
1 2 V
1 -6 V
1 3 V
1 -1 V
1 -12 V
1 -2 V
1 -9 V
2 7 V
1 -9 V
1 -6 V
1 -6 V
1 -3 V
1 -1 V
1 -1 V
1 -3 V
1 -4 V
2 -11 V
1 -1 V
1 5 V
1 -1 V
1 6 V
1 -3 V
1 -5 V
1 2 V
1 -4 V
1 0 V
2 5 V
1 1 V
1 2 V
1 0 V
1 -6 V
1 4 V
1 -2 V
1 6 V
1 -11 V
1 -2 V
2 7 V
1 -4 V
1 -4 V
1 -1 V
1 -3 V
1 9 V
1 3 V
1 -11 V
1 4 V
1 -2 V
2 5 V
1 8 V
1 -1 V
1 1 V
1 6 V
1 -6 V
1 2 V
1 2 V
1 -3 V
2 15 V
1 2 V
1 1 V
1 10 V
1 7 V
1 5 V
1 -4 V
1 -8 V
1 18 V
1 -7 V
2 4 V
1 10 V
1 -7 V
1 5 V
1 12 V
1 6 V
1 4 V
1 -10 V
1 0 V
1 14 V
2 -5 V
1 0 V
1 9 V
1 -2 V
1 3 V
1 -3 V
1 4 V
1 4 V
1 -11 V
2 14 V
1 4 V
1 1 V
1 -7 V
1 13 V
1 -6 V
1 8 V
1 -3 V
1 -11 V
1 13 V
2 4 V
1 1 V
1 5 V
1 1 V
1 -3 V
1 -9 V
1 1 V
1 5 V
1 -17 V
1 -1 V
2 2 V
1 10 V
1 -4 V
1 10 V
1 -10 V
1 4 V
1 6 V
1 -9 V
1 -8 V
2 12 V
1 -6 V
1 -3 V
1 2 V
1 9 V
1 2 V
1 -9 V
1 -4 V
1 0 V
1 -6 V
2 10 V
1 -2 V
1 6 V
1 -15 V
1 7 V
1 -9 V
1 -3 V
1 5 V
1 -2 V
1 -2 V
2 4 V
1 -14 V
1 4 V
1 3 V
1 -3 V
1 -3 V
1 -4 V
1 -9 V
1 -11 V
1 0 V
2 -3 V
1 -4 V
1 -2 V
1 5 V
1 -13 V
1 -2 V
1 -3 V
1 1 V
1 -10 V
2 -7 V
1 2 V
1 -13 V
1 10 V
1 0 V
1 -11 V
1 5 V
1 11 V
1 -7 V
1 -14 V
2 5 V
1 -5 V
1 -1 V
1 -5 V
1 4 V
1 -5 V
1 0 V
1 6 V
1 -12 V
1 6 V
2 -6 V
1 -3 V
1 7 V
1 9 V
1 -9 V
1 1 V
1 5 V
1 -4 V
1 -1 V
2 7 V
1 -3 V
1 -9 V
1 -2 V
1 4 V
1 1 V
1 9 V
1 8 V
1 -2 V
1 9 V
2 -8 V
1 3 V
1 0 V
1 8 V
1 4 V
1 -5 V
1 -3 V
1 5 V
1 3 V
1 -4 V
2 8 V
1 3 V
1 4 V
1 -6 V
1 10 V
1 4 V
1 0 V
1 3 V
1 5 V
2 3 V
1 -1 V
1 3 V
1 7 V
1 13 V
1 -7 V
1 -10 V
1 19 V
1 -12 V
1 13 V
2 -1 V
1 -4 V
1 -6 V
1 18 V
1 -5 V
1 1 V
1 7 V
1 -10 V
1 4 V
1 5 V
2 -1 V
1 -9 V
1 5 V
1 5 V
1 7 V
1 -5 V
1 0 V
1 1 V
1 6 V
1 -3 V
2 9 V
1 -6 V
1 0 V
1 5 V
1 0 V
1 9 V
1 5 V
1 3 V
1 1 V
2 -10 V
1 1 V
1 2 V
1 -2 V
1 1 V
1 -7 V
1 4 V
1 -4 V
1 4 V
1 3 V
currentpoint stroke M
2 7 V
1 -2 V
1 -13 V
1 2 V
1 -4 V
1 -6 V
1 -11 V
1 8 V
1 -3 V
1 -1 V
2 -2 V
1 2 V
1 -1 V
1 -15 V
1 5 V
1 1 V
1 2 V
1 -1 V
1 -10 V
1 -5 V
2 -6 V
1 2 V
1 -9 V
1 -3 V
1 0 V
1 -5 V
1 -4 V
1 6 V
1 -9 V
2 1 V
1 -8 V
1 -7 V
1 -1 V
1 -16 V
1 -4 V
1 7 V
1 4 V
1 3 V
1 -6 V
2 0 V
1 -1 V
1 -12 V
1 -3 V
1 -1 V
1 4 V
1 4 V
1 -10 V
1 10 V
1 -6 V
2 -1 V
1 -1 V
1 -3 V
1 -1 V
1 -7 V
1 2 V
1 1 V
1 -2 V
1 1 V
2 2 V
1 -2 V
1 -5 V
1 -5 V
1 11 V
1 -7 V
1 4 V
1 1 V
1 8 V
1 -7 V
2 -2 V
1 4 V
1 9 V
1 -11 V
1 4 V
1 -6 V
1 5 V
1 -4 V
1 -1 V
1 4 V
2 8 V
1 -6 V
1 13 V
1 4 V
1 -5 V
1 -4 V
1 0 V
1 5 V
1 3 V
2 -5 V
1 0 V
1 13 V
1 -6 V
1 -4 V
1 12 V
1 0 V
1 -6 V
1 0 V
1 16 V
2 -10 V
1 6 V
1 0 V
1 -3 V
1 15 V
1 -2 V
1 10 V
1 -9 V
1 1 V
1 -4 V
2 10 V
1 3 V
1 -3 V
1 5 V
1 4 V
1 8 V
1 -3 V
1 10 V
1 -3 V
1 -8 V
2 12 V
1 -8 V
1 13 V
1 5 V
1 -3 V
1 16 V
1 -4 V
1 5 V
1 -1 V
2 5 V
1 -6 V
1 1 V
1 9 V
1 -16 V
1 -2 V
1 -5 V
1 1 V
1 10 V
1 7 V
2 5 V
1 -1 V
1 5 V
1 -5 V
1 1 V
1 -12 V
1 10 V
1 -3 V
1 -5 V
1 14 V
2 -6 V
1 0 V
1 1 V
1 -18 V
1 3 V
1 -9 V
1 -14 V
1 6 V
1 -10 V
2 2 V
1 -7 V
1 8 V
1 2 V
1 -4 V
1 5 V
1 -14 V
1 1 V
1 -5 V
1 9 V
2 -4 V
1 -8 V
1 -8 V
1 3 V
1 -18 V
1 -3 V
1 0 V
1 -3 V
1 -4 V
1 -5 V
2 7 V
1 0 V
1 -6 V
1 -4 V
1 0 V
1 -5 V
1 4 V
1 -6 V
1 -2 V
2 -2 V
1 -2 V
1 5 V
1 0 V
1 -6 V
1 -5 V
1 7 V
1 -2 V
1 -6 V
1 4 V
2 -4 V
1 1 V
1 -11 V
1 4 V
1 6 V
1 -1 V
1 -2 V
1 3 V
1 -1 V
1 3 V
2 2 V
1 -2 V
1 4 V
1 -10 V
1 14 V
1 -9 V
1 7 V
1 4 V
1 -8 V
1 -5 V
2 -2 V
1 -5 V
1 21 V
1 -9 V
1 -2 V
1 2 V
1 -1 V
1 8 V
1 -3 V
2 0 V
1 8 V
1 0 V
1 -4 V
1 4 V
1 3 V
1 -2 V
1 7 V
1 -1 V
1 3 V
2 8 V
1 -4 V
1 -3 V
1 -1 V
1 4 V
1 3 V
1 0 V
1 -6 V
1 5 V
1 -4 V
2 -2 V
1 6 V
1 6 V
1 -1 V
1 -12 V
1 4 V
1 15 V
1 4 V
1 -6 V
2 13 V
1 -10 V
1 5 V
1 4 V
1 -6 V
1 12 V
1 -9 V
1 8 V
1 7 V
1 -3 V
2 -15 V
1 11 V
1 6 V
1 16 V
1 -5 V
1 -13 V
1 0 V
1 12 V
1 1 V
1 5 V
2 -1 V
1 2 V
1 -1 V
1 -6 V
1 11 V
1 13 V
1 -1 V
1 -1 V
1 2 V
1 -11 V
2 4 V
1 -2 V
1 16 V
1 -20 V
1 13 V
1 -12 V
1 1 V
1 5 V
1 11 V
2 11 V
1 -10 V
1 -5 V
1 -6 V
1 -2 V
1 -2 V
1 3 V
1 -1 V
1 -13 V
1 1 V
2 -7 V
1 -9 V
1 2 V
1 2 V
1 1 V
1 -1 V
1 -4 V
1 -9 V
1 -4 V
1 7 V
2 -4 V
1 7 V
1 -11 V
1 -19 V
1 1 V
1 -2 V
1 0 V
1 1 V
1 -14 V
2 -3 V
1 -6 V
1 1 V
1 5 V
1 -2 V
1 -2 V
1 -9 V
1 -3 V
1 -7 V
1 10 V
2 1 V
1 -4 V
1 -6 V
1 4 V
1 -1 V
1 -8 V
1 7 V
1 -2 V
1 0 V
1 -5 V
2 4 V
1 -5 V
1 -4 V
1 2 V
1 -2 V
1 1 V
1 -8 V
1 6 V
1 8 V
2 -7 V
1 2 V
1 -7 V
1 8 V
1 4 V
1 4 V
1 4 V
1 -10 V
1 2 V
1 -4 V
2 5 V
1 2 V
1 2 V
1 0 V
1 -9 V
1 4 V
1 6 V
1 3 V
1 -4 V
1 6 V
2 -7 V
1 11 V
1 -2 V
1 -7 V
1 15 V
1 -3 V
1 0 V
1 12 V
1 7 V
1 -9 V
2 9 V
1 -2 V
1 4 V
1 -1 V
1 -1 V
1 -2 V
1 0 V
1 7 V
1 0 V
2 3 V
1 4 V
1 3 V
1 0 V
1 -3 V
1 18 V
1 3 V
1 -4 V
1 1 V
1 -11 V
2 9 V
1 -4 V
currentpoint stroke M
1 6 V
1 7 V
1 -3 V
1 7 V
1 -1 V
1 -3 V
1 10 V
1 4 V
2 3 V
1 6 V
1 -5 V
1 8 V
1 11 V
1 6 V
1 -13 V
1 -3 V
1 9 V
2 -2 V
1 0 V
1 7 V
1 -10 V
1 13 V
1 6 V
1 -1 V
1 -6 V
1 13 V
1 -8 V
2 6 V
1 -3 V
1 12 V
1 -7 V
1 1 V
1 -13 V
1 4 V
1 -4 V
1 4 V
1 -8 V
2 -5 V
1 7 V
1 -6 V
1 2 V
1 2 V
1 -8 V
1 -6 V
1 -3 V
1 -1 V
2 -1 V
1 -12 V
1 9 V
1 1 V
1 -9 V
1 -13 V
1 -5 V
1 5 V
1 -10 V
1 -9 V
2 4 V
1 0 V
1 0 V
1 -15 V
1 4 V
1 -8 V
1 6 V
1 -2 V
1 -10 V
1 0 V
2 8 V
1 -3 V
1 -1 V
1 -5 V
1 1 V
1 0 V
1 4 V
1 0 V
1 -7 V
1 -2 V
2 -3 V
1 4 V
1 8 V
1 -8 V
1 -2 V
1 2 V
1 -1 V
1 0 V
1 -3 V
2 -12 V
1 2 V
1 2 V
1 -1 V
1 0 V
1 -1 V
1 -5 V
1 6 V
1 -7 V
1 -2 V
2 -2 V
1 7 V
1 3 V
1 1 V
1 -2 V
1 2 V
1 -3 V
1 -3 V
1 -3 V
1 5 V
2 2 V
1 7 V
1 -6 V
1 6 V
1 -1 V
1 -5 V
1 2 V
1 6 V
1 3 V
2 -1 V
1 5 V
1 -1 V
1 -2 V
1 -6 V
1 5 V
1 10 V
1 5 V
1 5 V
1 0 V
2 -1 V
1 6 V
1 -9 V
1 -9 V
1 10 V
1 0 V
1 6 V
1 -7 V
1 12 V
1 7 V
2 -8 V
1 10 V
1 -6 V
1 7 V
1 -2 V
1 2 V
1 -1 V
1 3 V
1 9 V
1 -3 V
2 -6 V
1 12 V
1 2 V
1 -3 V
1 0 V
1 4 V
1 0 V
1 4 V
1 -10 V
2 11 V
1 2 V
1 5 V
1 5 V
1 12 V
1 -8 V
1 0 V
1 7 V
1 7 V
1 -4 V
2 -9 V
1 7 V
1 8 V
1 -4 V
1 5 V
1 -2 V
1 -6 V
1 11 V
1 -11 V
1 3 V
2 -8 V
1 8 V
1 4 V
1 -5 V
1 -1 V
1 -4 V
1 -10 V
1 2 V
1 -5 V
2 -15 V
1 5 V
1 -7 V
1 -4 V
1 -7 V
1 8 V
1 -2 V
1 8 V
1 -1 V
1 -2 V
2 -9 V
1 -3 V
1 2 V
1 -9 V
1 -14 V
1 0 V
1 -3 V
1 3 V
1 2 V
1 -7 V
2 2 V
1 -18 V
1 -10 V
1 -3 V
1 9 V
1 0 V
1 12 V
1 -3 V
1 -12 V
2 -9 V
1 11 V
1 -9 V
1 -3 V
1 3 V
1 -6 V
1 -5 V
1 -7 V
1 -3 V
1 5 V
2 0 V
1 -4 V
1 -8 V
1 9 V
1 -1 V
1 -9 V
1 4 V
1 -2 V
1 2 V
1 -3 V
2 -8 V
1 12 V
1 -8 V
1 12 V
1 -2 V
1 4 V
1 -6 V
1 10 V
1 -5 V
1 -1 V
2 5 V
1 3 V
1 -5 V
1 6 V
1 -5 V
1 -4 V
1 2 V
1 13 V
1 -10 V
2 3 V
1 -1 V
1 8 V
1 4 V
1 -9 V
1 3 V
1 3 V
1 3 V
1 0 V
1 -1 V
2 13 V
1 -8 V
1 -1 V
1 11 V
1 -11 V
1 5 V
1 3 V
1 -4 V
1 3 V
1 5 V
2 6 V
1 8 V
1 -10 V
1 9 V
1 4 V
1 -3 V
1 1 V
1 -7 V
1 4 V
2 5 V
1 3 V
1 -12 V
1 2 V
1 -8 V
1 12 V
1 -4 V
1 5 V
1 0 V
1 8 V
2 8 V
1 -1 V
1 9 V
1 5 V
1 13 V
1 -2 V
1 -2 V
1 -8 V
1 -1 V
1 10 V
2 0 V
1 -5 V
1 4 V
1 -13 V
1 7 V
1 13 V
1 4 V
1 -11 V
1 -8 V
2 5 V
1 9 V
1 -1 V
1 12 V
1 -9 V
1 7 V
1 0 V
1 -2 V
1 2 V
1 7 V
2 3 V
1 6 V
1 -11 V
1 4 V
1 -5 V
1 6 V
1 -8 V
1 3 V
1 12 V
1 -18 V
2 3 V
1 -5 V
1 0 V
1 -5 V
1 0 V
1 -10 V
1 9 V
1 -10 V
1 7 V
1 5 V
2 -1 V
1 -5 V
1 2 V
1 -3 V
1 -5 V
1 -10 V
1 9 V
1 -9 V
1 2 V
2 -5 V
1 -14 V
1 0 V
1 7 V
1 -11 V
1 2 V
1 -8 V
1 -15 V
1 12 V
1 -1 V
2 -11 V
1 8 V
1 -2 V
1 3 V
1 -4 V
1 3 V
1 -6 V
1 3 V
1 -9 V
1 0 V
2 -9 V
1 0 V
1 -3 V
1 10 V
1 -6 V
1 -3 V
1 -2 V
1 0 V
1 1 V
2 -5 V
1 -2 V
1 -10 V
1 10 V
1 4 V
1 -2 V
1 0 V
1 -1 V
1 8 V
1 -9 V
2 7 V
1 -3 V
1 2 V
1 5 V
1 4 V
1 1 V
1 -3 V
1 -3 V
1 7 V
1 -1 V
2 -3 V
1 11 V
1 -3 V
1 9 V
currentpoint stroke M
1 -8 V
1 -1 V
1 6 V
1 8 V
1 -1 V
1 9 V
2 4 V
1 0 V
1 8 V
1 -5 V
1 11 V
1 -4 V
1 9 V
1 3 V
1 -5 V
2 4 V
1 7 V
1 2 V
1 -3 V
1 18 V
1 -4 V
1 0 V
1 0 V
1 -4 V
1 -4 V
2 1 V
1 0 V
1 3 V
1 1 V
1 -5 V
1 16 V
1 -11 V
1 8 V
1 9 V
1 -8 V
2 7 V
1 -3 V
1 4 V
1 -4 V
1 -10 V
1 7 V
1 12 V
1 -4 V
1 -17 V
2 11 V
1 -6 V
1 4 V
1 5 V
1 10 V
1 1 V
1 -1 V
1 -1 V
1 5 V
1 -7 V
2 6 V
1 7 V
1 -9 V
1 -2 V
1 1 V
1 2 V
1 4 V
1 2 V
1 4 V
1 -4 V
2 2 V
1 -20 V
1 4 V
1 0 V
1 7 V
1 5 V
1 8 V
1 -6 V
1 -4 V
2 -3 V
1 -6 V
1 -5 V
1 1 V
1 2 V
1 4 V
1 -9 V
1 3 V
1 2 V
1 -3 V
2 -8 V
1 -1 V
1 -1 V
1 -2 V
1 -5 V
1 -12 V
1 7 V
1 -5 V
1 -4 V
1 -6 V
2 -3 V
1 4 V
1 -15 V
1 -2 V
1 5 V
1 -4 V
1 -10 V
1 -5 V
1 2 V
1 -1 V
2 4 V
1 -7 V
1 4 V
1 -8 V
1 11 V
1 -4 V
1 -7 V
1 2 V
1 -4 V
2 3 V
1 -3 V
1 -1 V
1 7 V
1 -9 V
1 -3 V
1 0 V
1 -2 V
1 6 V
1 4 V
2 -5 V
1 1 V
1 4 V
1 0 V
1 -12 V
1 2 V
1 4 V
1 -5 V
1 -6 V
1 9 V
2 3 V
1 2 V
1 -8 V
1 1 V
1 7 V
1 -2 V
1 -7 V
1 14 V
1 9 V
2 -2 V
1 -3 V
1 -3 V
1 2 V
1 -5 V
1 5 V
1 1 V
1 5 V
1 -5 V
1 7 V
2 0 V
1 0 V
1 9 V
1 -9 V
1 9 V
1 -1 V
1 3 V
1 10 V
1 7 V
1 9 V
2 -7 V
1 -5 V
1 2 V
1 8 V
1 4 V
1 -1 V
1 16 V
1 5 V
1 -12 V
2 8 V
1 -8 V
1 8 V
1 2 V
1 13 V
1 -1 V
1 -9 V
1 -13 V
1 5 V
1 -4 V
2 12 V
1 -6 V
1 0 V
1 -10 V
1 10 V
1 3 V
1 -6 V
1 1 V
1 6 V
1 -10 V
2 6 V
1 0 V
1 2 V
1 -3 V
1 5 V
1 0 V
1 4 V
1 -9 V
1 0 V
1 5 V
2 6 V
1 -8 V
1 5 V
1 -8 V
1 4 V
1 8 V
1 0 V
1 0 V
1 2 V
2 -22 V
1 2 V
1 -4 V
1 8 V
1 7 V
1 -15 V
1 8 V
1 0 V
1 -5 V
1 13 V
2 -8 V
1 -5 V
1 -6 V
1 6 V
1 -5 V
1 -7 V
1 -1 V
1 1 V
1 -8 V
1 -9 V
2 -4 V
1 -3 V
1 0 V
1 5 V
1 -13 V
1 0 V
1 0 V
1 2 V
1 -6 V
2 -2 V
1 -9 V
1 5 V
1 -13 V
1 13 V
1 -8 V
1 -1 V
1 -5 V
1 -5 V
1 -6 V
2 -2 V
1 3 V
1 -9 V
1 0 V
1 -3 V
1 -2 V
1 -6 V
1 3 V
1 -7 V
1 7 V
2 -3 V
1 1 V
1 -1 V
1 2 V
1 -2 V
1 9 V
1 0 V
1 -1 V
1 2 V
1 0 V
2 4 V
1 -1 V
1 -4 V
1 -4 V
1 5 V
1 6 V
1 -2 V
1 2 V
1 7 V
2 -1 V
1 -9 V
1 8 V
1 -1 V
1 2 V
1 -11 V
1 1 V
1 8 V
1 2 V
1 5 V
2 -2 V
1 4 V
1 -3 V
1 8 V
1 -7 V
1 9 V
1 5 V
1 -1 V
1 6 V
1 -5 V
2 -5 V
1 11 V
1 -5 V
1 1 V
1 -8 V
1 15 V
1 -9 V
1 9 V
1 2 V
2 8 V
1 -2 V
1 1 V
1 10 V
1 -10 V
1 9 V
1 -11 V
1 3 V
1 -1 V
1 10 V
2 1 V
1 3 V
1 -1 V
1 -1 V
1 9 V
1 2 V
1 11 V
1 -4 V
1 2 V
1 8 V
2 -1 V
1 7 V
1 2 V
1 7 V
1 -2 V
1 4 V
1 0 V
1 4 V
1 0 V
2 0 V
1 3 V
1 2 V
1 3 V
1 6 V
1 2 V
1 -5 V
1 11 V
1 9 V
1 -12 V
2 0 V
1 1 V
1 -4 V
1 -11 V
1 11 V
1 -3 V
1 0 V
1 -6 V
1 -4 V
1 1 V
2 1 V
1 8 V
1 -9 V
1 -12 V
1 1 V
1 9 V
1 -10 V
1 -14 V
1 6 V
1 -13 V
2 12 V
1 -4 V
1 -22 V
1 9 V
1 -1 V
1 -12 V
1 2 V
1 -8 V
1 6 V
2 -11 V
1 -4 V
1 3 V
1 -16 V
1 0 V
1 -5 V
1 0 V
1 -5 V
1 1 V
1 -12 V
2 6 V
1 -7 V
1 5 V
1 -10 V
1 4 V
1 3 V
1 -6 V
1 -6 V
1 3 V
1 4 V
2 -2 V
1 4 V
1 -14 V
1 4 V
1 -1 V
1 5 V
currentpoint stroke M
1 -3 V
1 3 V
1 -4 V
2 -3 V
1 0 V
1 3 V
1 -5 V
1 4 V
1 -2 V
1 4 V
1 3 V
1 -5 V
1 11 V
2 -8 V
1 5 V
1 -1 V
1 -11 V
1 11 V
1 0 V
1 -2 V
1 3 V
1 3 V
1 -5 V
2 -4 V
1 6 V
1 -6 V
1 3 V
1 -4 V
1 5 V
1 0 V
1 0 V
1 2 V
2 2 V
1 -2 V
1 8 V
1 -5 V
1 2 V
1 -2 V
1 12 V
1 2 V
1 -8 V
1 7 V
2 0 V
1 3 V
1 -4 V
1 -8 V
1 0 V
1 3 V
1 5 V
1 5 V
1 -8 V
1 6 V
2 1 V
1 1 V
1 9 V
1 -4 V
1 1 V
1 6 V
1 8 V
1 6 V
1 -12 V
1 -3 V
2 7 V
1 7 V
1 4 V
1 -3 V
1 10 V
1 15 V
1 2 V
1 5 V
1 -5 V
2 -4 V
1 0 V
1 7 V
1 -15 V
1 3 V
1 5 V
1 9 V
1 -4 V
1 5 V
1 4 V
2 12 V
1 -9 V
1 6 V
1 -4 V
1 0 V
1 10 V
1 -8 V
1 4 V
1 6 V
2 -3 V
1 11 V
1 -28 V
1 26 V
1 -10 V
1 11 V
1 -5 V
1 -4 V
1 6 V
1 -7 V
2 -1 V
1 12 V
1 -13 V
1 5 V
1 7 V
1 -24 V
1 -2 V
1 2 V
1 -5 V
2 2 V
1 7 V
1 -11 V
1 -15 V
1 10 V
1 -3 V
1 -8 V
1 0 V
1 1 V
1 -11 V
2 10 V
1 -2 V
1 -6 V
1 0 V
1 -11 V
1 0 V
1 -18 V
1 1 V
1 1 V
1 -2 V
2 -3 V
1 2 V
1 -1 V
1 -9 V
1 13 V
1 -19 V
1 2 V
1 -14 V
1 5 V
1 4 V
2 -3 V
1 3 V
1 -8 V
1 -4 V
1 1 V
1 -2 V
1 3 V
1 1 V
1 -3 V
2 2 V
1 -4 V
1 5 V
1 -2 V
1 -2 V
1 -3 V
1 4 V
1 0 V
1 -2 V
1 14 V
2 -2 V
1 -9 V
1 14 V
1 -3 V
1 -4 V
1 10 V
1 -5 V
1 0 V
1 0 V
1 8 V
2 -7 V
1 9 V
1 0 V
1 2 V
1 6 V
1 0 V
1 -10 V
1 -1 V
1 1 V
2 9 V
1 -2 V
1 3 V
1 -4 V
1 -6 V
1 -1 V
1 16 V
1 -10 V
1 1 V
1 6 V
2 -2 V
1 10 V
1 6 V
1 -5 V
1 0 V
1 6 V
1 0 V
1 9 V
1 -3 V
1 -2 V
2 12 V
1 -7 V
1 9 V
1 -5 V
1 -3 V
1 5 V
1 1 V
1 8 V
1 -3 V
1 -15 V
2 5 V
1 7 V
1 4 V
1 -1 V
1 11 V
1 -4 V
1 4 V
1 5 V
1 4 V
2 -2 V
1 10 V
1 -3 V
1 1 V
1 2 V
1 -12 V
1 5 V
1 11 V
1 -11 V
1 2 V
2 3 V
1 15 V
1 7 V
1 -5 V
1 7 V
1 1 V
1 -3 V
1 -3 V
1 -2 V
1 5 V
2 -1 V
1 -1 V
1 1 V
1 10 V
1 2 V
1 -7 V
1 3 V
1 -11 V
1 -2 V
2 3 V
1 -19 V
1 8 V
1 8 V
1 0 V
1 -17 V
1 4 V
1 -3 V
1 6 V
1 -3 V
2 6 V
1 -18 V
1 0 V
1 -7 V
1 -14 V
1 3 V
1 1 V
1 -7 V
1 5 V
1 -12 V
2 -8 V
1 0 V
1 -5 V
1 1 V
1 -3 V
1 -12 V
1 -1 V
1 6 V
1 -6 V
2 -4 V
1 -3 V
1 1 V
1 -4 V
1 -4 V
1 5 V
1 -7 V
1 1 V
1 -5 V
1 0 V
2 -3 V
1 7 V
1 -2 V
1 6 V
1 -6 V
1 1 V
1 -4 V
1 -5 V
1 8 V
1 -10 V
2 1 V
1 3 V
1 3 V
1 -3 V
1 3 V
1 2 V
1 -4 V
1 4 V
1 2 V
1 2 V
2 7 V
1 -11 V
1 2 V
1 -2 V
1 -1 V
1 5 V
1 -2 V
1 3 V
1 0 V
2 -10 V
1 8 V
1 -9 V
1 6 V
1 11 V
1 -8 V
1 0 V
1 4 V
1 -13 V
1 5 V
2 14 V
1 -9 V
1 -4 V
1 8 V
1 -5 V
1 3 V
1 2 V
1 -6 V
1 10 V
1 -4 V
2 5 V
1 -6 V
1 9 V
1 -3 V
1 6 V
1 5 V
1 0 V
1 8 V
1 9 V
2 -12 V
1 6 V
1 5 V
1 6 V
1 4 V
1 -3 V
1 14 V
1 -6 V
1 -2 V
1 -9 V
2 10 V
1 2 V
1 3 V
1 4 V
1 -3 V
1 7 V
1 -5 V
1 -8 V
1 0 V
1 -5 V
2 3 V
1 0 V
1 17 V
1 0 V
1 4 V
1 -3 V
1 1 V
1 3 V
1 -10 V
2 9 V
1 14 V
1 -3 V
1 -4 V
1 14 V
1 -3 V
1 0 V
1 7 V
1 -12 V
1 -2 V
2 6 V
1 5 V
1 -13 V
1 -5 V
1 5 V
1 0 V
1 -3 V
1 -3 V
1 21 V
1 -1 V
2 -7 V
1 -14 V
1 2 V
1 -2 V
1 -11 V
1 9 V
1 -9 V
1 -4 V
1 -8 V
currentpoint stroke M
1 -5 V
2 -4 V
1 3 V
1 -7 V
1 2 V
1 -7 V
1 2 V
1 2 V
1 3 V
1 -14 V
2 2 V
1 5 V
1 -6 V
1 -10 V
1 0 V
1 -1 V
1 -8 V
1 -3 V
1 9 V
1 1 V
2 -8 V
1 -6 V
1 -10 V
1 -3 V
1 1 V
1 -1 V
1 -10 V
1 8 V
1 0 V
1 -4 V
2 7 V
1 -3 V
1 -5 V
1 -4 V
1 0 V
1 0 V
1 6 V
1 -6 V
1 1 V
2 2 V
1 -6 V
1 4 V
1 3 V
1 2 V
1 -10 V
1 4 V
1 0 V
1 4 V
1 4 V
2 -8 V
1 5 V
1 5 V
1 -1 V
1 -3 V
1 3 V
1 2 V
1 1 V
1 -7 V
1 2 V
2 7 V
1 1 V
1 6 V
1 -7 V
1 7 V
1 -5 V
1 5 V
1 2 V
1 -1 V
2 1 V
1 2 V
1 1 V
1 8 V
1 -1 V
1 0 V
1 -8 V
1 8 V
1 4 V
1 -5 V
2 7 V
1 9 V
1 -13 V
1 4 V
1 2 V
1 2 V
1 6 V
1 -4 V
1 11 V
1 1 V
2 9 V
1 -16 V
1 9 V
1 1 V
1 6 V
1 1 V
1 -10 V
1 11 V
1 5 V
1 -8 V
2 11 V
1 3 V
1 2 V
1 11 V
1 -3 V
1 0 V
1 1 V
1 -1 V
1 -4 V
2 15 V
1 -3 V
1 -3 V
1 12 V
1 0 V
1 -4 V
1 0 V
1 -1 V
1 6 V
1 4 V
2 -7 V
1 0 V
1 -2 V
1 -6 V
1 -2 V
1 3 V
1 -1 V
1 -6 V
1 -9 V
1 11 V
2 3 V
1 18 V
1 2 V
1 -2 V
1 -2 V
1 1 V
1 -11 V
1 6 V
1 -4 V
2 3 V
1 -3 V
1 -5 V
1 -11 V
1 6 V
1 -2 V
1 2 V
1 -3 V
1 0 V
1 -5 V
2 -1 V
1 -12 V
1 6 V
1 -5 V
1 -9 V
1 -1 V
1 -4 V
1 3 V
1 1 V
1 -8 V
2 1 V
1 -1 V
1 -10 V
1 4 V
1 -3 V
1 6 V
1 -17 V
1 3 V
1 -6 V
1 -1 V
2 -1 V
1 -4 V
1 -3 V
1 1 V
1 -7 V
1 -5 V
1 9 V
1 -6 V
1 -3 V
2 -1 V
1 -2 V
1 7 V
1 -3 V
1 -10 V
1 0 V
1 1 V
1 -5 V
1 -2 V
1 1 V
2 -4 V
1 5 V
1 -1 V
1 2 V
1 -3 V
1 -4 V
1 5 V
1 -2 V
1 2 V
1 3 V
2 0 V
1 -3 V
1 6 V
1 2 V
1 2 V
1 1 V
1 16 V
1 -5 V
1 6 V
2 -4 V
1 -1 V
1 -4 V
1 10 V
1 2 V
1 -4 V
1 1 V
1 0 V
1 -2 V
1 8 V
2 1 V
1 7 V
1 1 V
1 8 V
1 -7 V
1 8 V
1 11 V
1 4 V
1 -9 V
1 9 V
2 -2 V
1 -2 V
1 -3 V
1 7 V
1 -1 V
1 1 V
1 0 V
1 1 V
1 -4 V
2 2 V
1 12 V
1 -5 V
1 -9 V
1 10 V
1 0 V
1 -5 V
1 1 V
1 10 V
1 -2 V
2 -2 V
1 2 V
1 -3 V
1 3 V
1 8 V
1 -7 V
1 -2 V
1 9 V
1 -8 V
1 0 V
2 2 V
1 15 V
1 -6 V
1 4 V
1 5 V
1 -12 V
1 5 V
1 -7 V
1 -2 V
1 2 V
2 4 V
1 4 V
1 9 V
1 -1 V
1 -2 V
1 -1 V
1 -15 V
1 9 V
1 -4 V
2 2 V
1 -6 V
1 15 V
1 2 V
1 0 V
1 3 V
1 0 V
1 11 V
1 -5 V
1 -6 V
2 1 V
1 -11 V
1 1 V
1 1 V
1 -8 V
1 2 V
1 3 V
1 -8 V
1 4 V
1 -18 V
2 11 V
1 3 V
1 -7 V
1 -9 V
1 3 V
1 3 V
1 -5 V
1 0 V
1 -9 V
2 -8 V
1 -5 V
1 -10 V
1 4 V
1 -11 V
1 1 V
1 10 V
1 0 V
1 -10 V
1 -7 V
2 3 V
1 2 V
1 -7 V
1 -3 V
1 -8 V
1 1 V
1 6 V
1 -7 V
1 3 V
1 -5 V
2 9 V
1 -5 V
1 -4 V
1 1 V
1 -4 V
1 3 V
1 -3 V
1 0 V
1 -4 V
1 4 V
2 4 V
1 2 V
1 -11 V
1 1 V
1 8 V
1 -2 V
1 5 V
1 -4 V
1 -3 V
2 0 V
1 7 V
1 2 V
1 -2 V
1 2 V
1 0 V
1 -2 V
1 0 V
1 10 V
1 -6 V
2 5 V
1 -5 V
1 7 V
1 3 V
1 3 V
1 4 V
1 7 V
1 6 V
1 -2 V
1 7 V
2 -3 V
1 7 V
1 9 V
1 -14 V
1 2 V
1 6 V
1 3 V
1 1 V
1 1 V
2 -3 V
1 -4 V
1 14 V
1 -3 V
1 -2 V
1 16 V
1 -3 V
1 -10 V
1 10 V
1 3 V
2 -12 V
1 5 V
1 1 V
1 1 V
1 9 V
1 -5 V
1 4 V
1 8 V
1 7 V
1 -2 V
2 4 V
1 6 V
1 -12 V
1 9 V
1 -11 V
1 15 V
1 -12 V
1 0 V
1 9 V
2 -2 V
1 -5 V
currentpoint stroke M
1 4 V
1 3 V
1 6 V
1 -3 V
1 -5 V
1 10 V
1 0 V
1 1 V
2 -5 V
1 -6 V
1 2 V
1 -6 V
1 0 V
1 -7 V
1 8 V
1 -3 V
1 0 V
1 -5 V
2 2 V
1 -4 V
1 5 V
1 6 V
1 -13 V
1 -2 V
1 6 V
1 -11 V
1 -5 V
1 8 V
2 2 V
1 -11 V
1 -1 V
1 0 V
1 1 V
1 -11 V
1 -7 V
1 -1 V
1 2 V
2 -3 V
1 -9 V
1 4 V
1 -10 V
1 2 V
1 -11 V
1 2 V
1 -3 V
1 -13 V
1 -1 V
2 -3 V
1 -6 V
1 2 V
1 -2 V
1 8 V
1 -6 V
1 6 V
1 3 V
1 3 V
1 -9 V
2 0 V
1 -1 V
1 3 V
1 -3 V
1 -1 V
1 -3 V
1 -6 V
1 0 V
1 -3 V
2 3 V
1 -5 V
1 1 V
1 0 V
1 3 V
1 0 V
1 5 V
1 -10 V
1 6 V
1 -3 V
2 -7 V
1 10 V
1 6 V
1 -8 V
1 8 V
1 -9 V
1 6 V
1 -7 V
1 1 V
1 10 V
2 3 V
1 -1 V
1 4 V
1 -1 V
1 3 V
1 -6 V
1 2 V
1 -7 V
1 6 V
2 2 V
1 3 V
1 -10 V
1 6 V
1 9 V
1 -9 V
1 -1 V
1 13 V
1 -3 V
1 2 V
2 2 V
1 -7 V
1 10 V
1 -2 V
1 10 V
1 -3 V
1 10 V
1 -10 V
1 9 V
1 3 V
2 -6 V
1 3 V
1 -4 V
1 10 V
1 -4 V
1 -1 V
1 3 V
1 -1 V
1 7 V
1 -6 V
2 3 V
1 7 V
1 -12 V
1 18 V
1 2 V
1 2 V
1 6 V
1 1 V
1 -5 V
2 20 V
1 -9 V
1 4 V
1 19 V
1 1 V
1 7 V
1 2 V
1 -7 V
1 2 V
1 0 V
2 -12 V
1 7 V
1 7 V
1 0 V
1 -10 V
1 2 V
1 -4 V
1 13 V
1 1 V
1 -17 V
2 2 V
1 -1 V
1 14 V
1 -4 V
1 3 V
1 -1 V
1 -8 V
1 4 V
1 -12 V
2 11 V
1 -14 V
1 -6 V
1 13 V
1 -1 V
1 -8 V
1 -4 V
1 3 V
1 2 V
1 -9 V
2 -3 V
1 -2 V
1 -17 V
1 2 V
1 -8 V
1 1 V
1 -9 V
1 -4 V
1 -4 V
1 -4 V
2 0 V
1 -8 V
1 7 V
1 -3 V
1 6 V
1 -14 V
1 1 V
1 4 V
1 -7 V
2 1 V
1 -3 V
1 2 V
1 -3 V
1 -8 V
1 4 V
1 0 V
1 -7 V
1 -5 V
1 8 V
2 0 V
1 -4 V
1 1 V
1 -5 V
1 7 V
1 -6 V
1 3 V
1 -5 V
1 -1 V
1 3 V
2 -6 V
1 6 V
1 2 V
1 -3 V
1 3 V
1 5 V
1 -9 V
1 9 V
1 -5 V
1 0 V
2 -1 V
1 -2 V
1 -1 V
1 5 V
1 1 V
1 -2 V
1 7 V
1 -6 V
1 8 V
2 -3 V
1 0 V
1 3 V
1 0 V
1 -3 V
1 -2 V
1 -7 V
1 7 V
1 1 V
1 0 V
2 4 V
1 6 V
1 -1 V
1 0 V
1 4 V
1 -1 V
1 -4 V
1 5 V
1 4 V
1 7 V
2 -14 V
1 16 V
1 -2 V
1 1 V
1 5 V
1 5 V
1 5 V
1 5 V
1 6 V
2 0 V
1 0 V
1 2 V
1 5 V
1 -14 V
1 9 V
1 3 V
1 -10 V
1 -6 V
1 7 V
2 -7 V
1 3 V
1 7 V
1 -11 V
1 6 V
1 8 V
1 -1 V
1 9 V
1 -11 V
1 6 V
2 0 V
1 19 V
1 -14 V
1 2 V
1 2 V
1 -4 V
1 -7 V
1 -4 V
1 5 V
2 -4 V
1 1 V
1 0 V
1 2 V
1 -2 V
1 -2 V
1 9 V
1 1 V
1 3 V
1 9 V
2 -11 V
1 7 V
1 0 V
1 5 V
1 -11 V
1 0 V
1 6 V
1 8 V
1 -5 V
1 5 V
2 -3 V
1 -13 V
1 7 V
1 -7 V
1 -1 V
1 -3 V
1 6 V
1 -11 V
1 -6 V
1 7 V
2 -8 V
1 2 V
1 -6 V
1 -3 V
1 -13 V
1 4 V
1 1 V
1 -5 V
1 7 V
2 -18 V
1 5 V
1 3 V
1 -2 V
1 -10 V
1 -8 V
1 2 V
1 -9 V
1 11 V
1 -14 V
2 1 V
1 1 V
1 2 V
1 5 V
1 -7 V
1 -3 V
1 5 V
1 -1 V
1 -3 V
1 -3 V
2 5 V
1 -2 V
1 1 V
1 -4 V
1 3 V
1 -2 V
1 -6 V
1 -1 V
1 1 V
2 -7 V
1 7 V
1 -8 V
1 10 V
1 0 V
1 -9 V
1 1 V
1 -3 V
1 6 V
1 10 V
2 -5 V
1 1 V
1 6 V
1 -4 V
1 3 V
1 -6 V
1 1 V
1 1 V
1 -10 V
1 10 V
2 -7 V
1 5 V
1 -11 V
1 9 V
1 -5 V
1 5 V
1 10 V
1 -1 V
1 -8 V
2 9 V
1 1 V
1 -1 V
1 -2 V
1 0 V
1 5 V
1 1 V
1 4 V
1 0 V
1 -2 V
2 -2 V
1 4 V
1 2 V
1 3 V
currentpoint stroke M
1 -1 V
1 4 V
1 -3 V
1 1 V
1 10 V
1 -1 V
2 -5 V
1 9 V
1 -2 V
1 2 V
1 7 V
1 3 V
1 -3 V
1 10 V
1 -6 V
1 9 V
2 0 V
1 -1 V
1 1 V
1 3 V
1 10 V
1 3 V
1 -12 V
1 2 V
1 13 V
2 -12 V
1 0 V
1 10 V
1 -9 V
1 11 V
1 0 V
1 8 V
1 -15 V
1 3 V
1 -1 V
2 9 V
1 8 V
1 -2 V
1 8 V
1 -6 V
1 -4 V
1 -7 V
1 -3 V
1 2 V
1 3 V
2 3 V
1 9 V
1 6 V
1 -3 V
1 -12 V
1 9 V
1 -12 V
1 16 V
1 -15 V
2 8 V
1 -4 V
1 -13 V
1 0 V
1 3 V
1 -2 V
1 0 V
1 -3 V
1 7 V
1 0 V
2 -1 V
1 1 V
1 -1 V
1 5 V
1 -4 V
1 -9 V
1 -6 V
1 -6 V
1 5 V
1 -13 V
2 -5 V
1 3 V
1 -4 V
1 -3 V
1 -11 V
1 -1 V
1 -7 V
1 6 V
1 0 V
2 -5 V
1 3 V
1 -3 V
1 -7 V
1 7 V
1 -4 V
1 -4 V
1 1 V
1 -9 V
1 0 V
2 14 V
1 -1 V
1 -8 V
1 7 V
1 -11 V
1 8 V
1 -7 V
1 4 V
1 1 V
1 -1 V
2 -2 V
1 1 V
1 0 V
1 0 V
1 -1 V
1 -7 V
1 4 V
1 1 V
1 -1 V
1 0 V
2 3 V
1 -6 V
1 7 V
1 -12 V
1 3 V
1 -4 V
1 -3 V
1 -1 V
1 11 V
2 -1 V
1 -5 V
1 7 V
1 2 V
1 2 V
1 2 V
1 3 V
1 -9 V
1 2 V
1 0 V
2 6 V
1 0 V
1 2 V
1 2 V
1 2 V
1 2 V
1 -2 V
1 3 V
1 2 V
1 -5 V
2 3 V
1 -2 V
1 -2 V
1 0 V
1 5 V
1 -6 V
1 12 V
1 -3 V
1 1 V
2 -1 V
1 12 V
1 -8 V
1 4 V
1 0 V
1 2 V
1 9 V
1 -1 V
1 9 V
1 1 V
2 -1 V
1 5 V
1 -1 V
1 18 V
1 -11 V
1 -8 V
1 13 V
1 -1 V
1 -2 V
1 6 V
2 -2 V
1 4 V
1 -3 V
1 3 V
1 -3 V
1 5 V
1 5 V
1 0 V
1 8 V
2 -3 V
1 -8 V
1 12 V
1 -8 V
1 4 V
1 4 V
1 3 V
1 0 V
1 -8 V
1 -8 V
2 -2 V
1 12 V
1 -8 V
1 -4 V
1 2 V
1 1 V
1 -12 V
1 -7 V
1 10 V
1 4 V
2 -2 V
1 -12 V
1.000 UL
LT1
1793 70 M
(within past hour) Rshow
1877 70 M
399 0 V
644 2956 M
2 -896 V
3 -67 V
3 -49 V
2 -65 V
3 -28 V
3 -31 V
3 -29 V
2 -33 V
4 -20 V
2 -13 V
2 -13 V
3 -17 V
2 -3 V
4 -2 V
2 -11 V
3 -1 V
2 -17 V
4 -4 V
2 -5 V
2 2 V
3 9 V
3 -7 V
3 12 V
2 13 V
4 8 V
2 19 V
3 22 V
2 -9 V
30 209 V
2 -13 V
3 -157 V
3 4 V
2 -9 V
3 -2 V
3 10 V
3 -13 V
2 -14 V
3 7 V
3 -4 V
2 -35 V
3 10 V
2 -12 V
4 -14 V
2 -18 V
3 -14 V
2 -11 V
4 -4 V
2 -15 V
3 -21 V
2 -18 V
3 -29 V
3 -29 V
2 -2 V
3 -28 V
3 -12 V
3 -14 V
2 -17 V
4 -9 V
2 -5 V
2 -14 V
3 -5 V
2 0 V
4 -19 V
2 -1 V
3 9 V
2 4 V
4 5 V
2 13 V
3 5 V
3 -1 V
2 -1 V
3 14 V
2 5 V
4 23 V
2 10 V
3 30 V
2 16 V
4 4 V
2 9 V
2 5 V
3 7 V
3 25 V
3 23 V
2 -4 V
3 -8 V
3 4 V
3 15 V
2 -5 V
3 -3 V
3 -15 V
2 -7 V
3 -11 V
2 -2 V
4 11 V
2 10 V
3 -5 V
2 6 V
4 -23 V
2 -21 V
2 6 V
3 -9 V
3 -6 V
3 -20 V
2 2 V
3 -3 V
3 7 V
3 -31 V
2 -16 V
2 -6 V
4 -13 V
2 -20 V
3 -6 V
2 -15 V
4 -18 V
2 -12 V
3 -12 V
2 -9 V
4 -11 V
2 0 V
2 -7 V
3 8 V
3 -6 V
3 -16 V
2 -7 V
3 6 V
3 2 V
3 1 V
2 10 V
2 17 V
4 5 V
2 -7 V
3 19 V
2 15 V
4 29 V
2 15 V
3 31 V
2 16 V
4 -5 V
2 0 V
2 -8 V
3 23 V
3 -11 V
3 17 V
2 13 V
3 4 V
3 -10 V
3 4 V
2 3 V
2 -2 V
4 -18 V
2 10 V
3 8 V
2 -1 V
4 14 V
2 5 V
3 14 V
2 2 V
4 -9 V
2 -18 V
2 -7 V
4 -1 V
2 -7 V
3 -23 V
2 4 V
4 -28 V
2 -22 V
3 -13 V
2 -29 V
2 -10 V
4 -10 V
2 -6 V
3 -29 V
2 -18 V
4 2 V
2 -7 V
3 -7 V
3 -4 V
3 -8 V
2 9 V
2 5 V
4 3 V
2 -5 V
3 7 V
2 -1 V
4 6 V
2 -1 V
3 8 V
2 1 V
3 1 V
3 18 V
2 13 V
3 18 V
3 4 V
3 7 V
2 20 V
3 5 V
3 7 V
2 -3 V
3 11 V
2 17 V
4 19 V
2 0 V
3 9 V
2 7 V
4 19 V
2 1 V
3 8 V
2 -1 V
3 19 V
3 16 V
2 1 V
3 8 V
3 2 V
3 -6 V
2 14 V
3 -18 V
3 -3 V
2 -4 V
3 -1 V
2 -12 V
4 -9 V
2 -17 V
3 -16 V
2 -19 V
4 -12 V
2 -1 V
3 -24 V
2 -17 V
3 -12 V
3 -27 V
2 -12 V
3 -15 V
3 4 V
3 -16 V
2 -1 V
3 -9 V
3 -10 V
2 2 V
3 -8 V
2 2 V
4 -3 V
2 12 V
3 7 V
2 4 V
4 9 V
2 5 V
3 3 V
2 7 V
3 7 V
3 29 V
2 -4 V
3 9 V
3 0 V
3 23 V
2 3 V
4 9 V
2 1 V
2 2 V
3 20 V
2 11 V
4 1 V
2 1 V
3 15 V
2 7 V
4 15 V
2 -1 V
3 36 V
3 8 V
2 0 V
3 9 V
2 4 V
4 -4 V
2 -10 V
3 4 V
2 1 V
4 -14 V
2 8 V
2 -11 V
3 -9 V
3 -11 V
3 1 V
2 -11 V
3 -35 V
3 -18 V
3 -26 V
2 0 V
3 -20 V
3 -5 V
2 -20 V
3 -15 V
2 -11 V
4 -12 V
2 -10 V
3 -15 V
2 -1 V
4 2 V
2 5 V
2 2 V
3 -5 V
3 1 V
3 6 V
2 4 V
3 -7 V
3 7 V
3 7 V
2 4 V
2 1 V
4 15 V
2 -7 V
3 4 V
2 11 V
4 16 V
2 1 V
3 12 V
2 0 V
4 13 V
2 12 V
2 9 V
3 -10 V
3 9 V
3 28 V
2 14 V
3 10 V
3 21 V
3 8 V
2 15 V
2 -28 V
4 67 V
2 -7 V
3 -49 V
2 7 V
4 -18 V
2 -15 V
3 14 V
2 8 V
4 -9 V
2 -22 V
2 -19 V
3 -1 V
3 -26 V
3 -8 V
2 -15 V
3 -24 V
3 -3 V
3 -14 V
2 4 V
2 -21 V
4 -21 V
2 -12 V
3 -24 V
2 -4 V
4 -4 V
2 -8 V
3 2 V
2 6 V
4 -13 V
2 -6 V
2 -2 V
4 0 V
2 1 V
3 11 V
2 9 V
4 0 V
2 -8 V
3 17 V
2 8 V
2 -1 V
4 33 V
2 3 V
3 -12 V
2 4 V
4 6 V
2 12 V
3 4 V
3 2 V
3 14 V
2 14 V
2 8 V
4 11 V
2 7 V
3 8 V
2 10 V
4 14 V
2 9 V
3 13 V
2 -2 V
3 7 V
3 5 V
2 -3 V
3 -13 V
3 2 V
3 12 V
2 -9 V
3 -2 V
3 -7 V
2 -1 V
3 -19 V
currentpoint stroke M
2 -7 V
4 -9 V
2 -9 V
3 12 V
2 -22 V
4 -24 V
2 -14 V
3 -18 V
2 -15 V
3 -18 V
3 -19 V
2 1 V
3 -4 V
3 0 V
3 5 V
2 0 V
3 -3 V
3 -18 V
2 -3 V
3 3 V
2 3 V
4 6 V
2 7 V
3 13 V
2 2 V
4 6 V
2 5 V
3 7 V
2 4 V
3 4 V
3 9 V
2 17 V
3 25 V
3 12 V
3 -19 V
2 1 V
3 3 V
3 8 V
2 4 V
3 17 V
2 17 V
4 -6 V
2 0 V
3 3 V
2 6 V
4 12 V
2 1 V
3 0 V
2 22 V
3 17 V
3 11 V
2 -10 V
3 -18 V
3 2 V
3 -18 V
2 -5 V
4 11 V
2 -4 V
2 1 V
3 -13 V
2 -19 V
4 -9 V
2 -5 V
3 -7 V
2 -6 V
4 -14 V
2 -13 V
3 -12 V
3 -10 V
2 -14 V
3 -19 V
2 0 V
4 -5 V
2 -4 V
3 -12 V
2 -6 V
4 -9 V
2 22 V
2 5 V
3 6 V
3 -19 V
3 12 V
2 3 V
3 4 V
3 3 V
3 15 V
2 15 V
3 3 V
3 15 V
2 4 V
3 4 V
2 0 V
4 10 V
2 15 V
3 3 V
2 25 V
4 8 V
2 7 V
2 -8 V
3 1 V
3 2 V
3 8 V
2 -7 V
3 7 V
3 3 V
3 -1 V
2 9 V
2 8 V
4 -1 V
2 -1 V
3 3 V
2 -17 V
4 -18 V
2 -6 V
3 1 V
2 -6 V
4 15 V
2 3 V
2 -7 V
3 -12 V
3 -2 V
3 -10 V
2 0 V
3 -17 V
3 -17 V
3 -5 V
2 -13 V
2 -7 V
4 -14 V
2 -2 V
3 -19 V
2 -7 V
4 -7 V
2 2 V
3 -5 V
2 -1 V
4 -8 V
2 1 V
2 -2 V
3 -8 V
3 8 V
3 11 V
2 4 V
3 23 V
3 9 V
3 11 V
2 5 V
2 1 V
4 12 V
2 -7 V
3 9 V
2 14 V
4 19 V
2 2 V
3 -2 V
2 11 V
4 14 V
2 6 V
2 1 V
4 16 V
2 -4 V
3 1 V
2 -2 V
4 6 V
2 6 V
3 -3 V
2 9 V
2 13 V
4 1 V
2 0 V
3 -22 V
2 4 V
4 3 V
2 -19 V
3 2 V
3 -18 V
3 -26 V
2 -1 V
2 -14 V
4 -16 V
2 -17 V
3 -22 V
2 -12 V
4 -16 V
2 -13 V
3 -19 V
2 -8 V
3 2 V
3 2 V
2 -5 V
3 -3 V
3 -6 V
3 2 V
2 4 V
3 4 V
3 -3 V
2 6 V
3 -6 V
2 4 V
4 -2 V
2 8 V
3 3 V
2 9 V
4 -5 V
2 13 V
3 16 V
2 1 V
3 -1 V
3 10 V
2 12 V
3 13 V
3 2 V
3 10 V
2 9 V
3 6 V
3 15 V
2 14 V
3 23 V
2 4 V
4 14 V
2 13 V
3 11 V
2 7 V
4 0 V
2 -3 V
3 -10 V
2 0 V
3 7 V
3 5 V
2 -5 V
3 -8 V
3 -9 V
3 -11 V
2 -13 V
3 -21 V
3 -8 V
2 -17 V
3 -19 V
2 -15 V
4 -20 V
2 -9 V
3 -16 V
2 -7 V
4 -18 V
2 -4 V
3 -5 V
2 -7 V
3 -2 V
3 -13 V
2 -3 V
3 1 V
3 -3 V
3 -4 V
2 14 V
4 3 V
2 0 V
2 3 V
3 -3 V
2 5 V
4 9 V
2 5 V
3 -1 V
2 1 V
4 12 V
2 8 V
3 12 V
3 4 V
2 2 V
3 8 V
2 2 V
4 13 V
2 -1 V
3 13 V
2 9 V
4 12 V
2 14 V
2 6 V
3 15 V
2 9 V
4 4 V
2 8 V
3 -13 V
3 20 V
3 13 V
2 5 V
3 17 V
3 -1 V
2 -13 V
3 -20 V
2 -5 V
4 -11 V
2 -5 V
3 -13 V
2 -23 V
4 -33 V
2 -7 V
2 -16 V
3 -6 V
3 -14 V
3 5 V
2 -7 V
3 -16 V
3 -4 V
3 -24 V
2 -11 V
2 -3 V
4 2 V
2 -4 V
3 -7 V
2 4 V
4 -3 V
2 3 V
3 6 V
2 4 V
4 2 V
2 3 V
2 5 V
3 -3 V
3 4 V
3 9 V
2 7 V
3 9 V
3 10 V
3 7 V
2 -2 V
2 2 V
4 2 V
2 -2 V
3 6 V
2 -1 V
4 24 V
2 6 V
3 16 V
2 23 V
4 22 V
2 1 V
2 13 V
3 -1 V
3 4 V
3 9 V
2 21 V
3 26 V
3 5 V
3 -8 V
2 1 V
2 2 V
4 -10 V
2 -4 V
3 -15 V
2 -14 V
4 -10 V
2 -17 V
3 -23 V
2 -6 V
4 -6 V
2 -19 V
2 -10 V
3 -32 V
3 -19 V
3 -18 V
2 -4 V
4 -7 V
2 -8 V
3 -4 V
2 -9 V
2 -6 V
4 -11 V
2 -4 V
3 -3 V
2 8 V
4 8 V
2 4 V
3 3 V
3 7 V
3 1 V
2 1 V
2 10 V
4 8 V
2 -5 V
3 11 V
2 2 V
4 9 V
2 3 V
3 13 V
2 10 V
2 -5 V
4 9 V
2 9 V
3 2 V
3 6 V
3 4 V
2 19 V
3 21 V
3 6 V
2 14 V
3 -10 V
2 -2 V
4 19 V
2 18 V
3 2 V
currentpoint stroke M
2 13 V
4 -2 V
2 12 V
3 -16 V
2 5 V
3 3 V
3 -7 V
2 -13 V
3 0 V
3 -8 V
3 -16 V
2 -23 V
3 3 V
3 -11 V
2 -13 V
3 -13 V
2 -13 V
4 -8 V
2 -10 V
3 -15 V
2 -4 V
4 -17 V
2 -2 V
3 -6 V
2 -4 V
3 -6 V
3 -7 V
2 0 V
3 5 V
3 -4 V
3 7 V
2 2 V
3 11 V
3 1 V
2 -3 V
3 6 V
2 2 V
4 -2 V
2 -1 V
3 3 V
2 10 V
4 16 V
2 4 V
3 11 V
2 9 V
3 1 V
3 12 V
2 1 V
3 16 V
3 16 V
3 -6 V
2 5 V
4 21 V
2 11 V
2 7 V
3 13 V
2 -7 V
4 7 V
2 -7 V
3 1 V
2 1 V
4 3 V
2 -13 V
3 -16 V
2 -6 V
3 4 V
3 8 V
2 -10 V
4 -16 V
2 -7 V
3 -9 V
2 -3 V
4 -12 V
2 -18 V
2 -5 V
3 -4 V
2 -6 V
4 -22 V
2 -10 V
3 -13 V
3 -7 V
3 -17 V
2 -5 V
3 0 V
3 5 V
2 -4 V
3 -1 V
2 4 V
4 -5 V
2 1 V
3 3 V
2 -3 V
4 -4 V
2 15 V
2 8 V
3 10 V
3 4 V
3 14 V
2 8 V
3 25 V
3 9 V
3 1 V
2 12 V
2 8 V
4 1 V
2 5 V
3 4 V
2 6 V
4 10 V
2 4 V
3 3 V
2 -12 V
4 17 V
2 11 V
2 -1 V
3 -12 V
3 -1 V
3 7 V
2 -3 V
3 8 V
3 1 V
3 -2 V
2 -7 V
2 -7 V
4 -2 V
2 2 V
3 0 V
2 -7 V
4 -5 V
2 -7 V
3 -12 V
2 2 V
4 -19 V
2 -9 V
2 -8 V
3 -16 V
3 -15 V
3 -17 V
2 -9 V
3 -5 V
3 -4 V
3 -6 V
2 -3 V
2 -6 V
4 -4 V
2 0 V
3 4 V
2 4 V
4 -5 V
2 -4 V
3 11 V
2 8 V
4 17 V
2 7 V
2 0 V
3 6 V
3 3 V
3 7 V
2 7 V
4 10 V
2 13 V
3 30 V
2 -1 V
2 -2 V
4 12 V
2 7 V
3 -3 V
2 6 V
4 -14 V
2 6 V
3 6 V
2 0 V
4 8 V
2 1 V
2 11 V
4 -1 V
2 13 V
3 3 V
2 -6 V
4 2 V
2 5 V
3 4 V
2 -12 V
2 -5 V
4 -2 V
2 -10 V
3 -3 V
2 -22 V
4 -6 V
2 -20 V
3 -17 V
3 -8 V
2 -10 V
3 -13 V
2 -10 V
4 -8 V
2 -3 V
3 -15 V
2 -8 V
4 -5 V
2 -1 V
3 -5 V
2 3 V
3 -6 V
3 3 V
2 0 V
3 5 V
3 -3 V
3 14 V
2 -1 V
3 -7 V
3 3 V
2 12 V
3 3 V
2 -1 V
4 15 V
2 5 V
3 -1 V
2 5 V
4 4 V
2 2 V
3 23 V
2 0 V
3 0 V
3 7 V
2 -1 V
3 18 V
3 7 V
3 7 V
2 18 V
3 23 V
3 -17 V
2 3 V
3 3 V
2 6 V
4 0 V
2 7 V
3 1 V
2 5 V
4 6 V
2 -13 V
3 -6 V
2 -21 V
3 -6 V
3 -14 V
2 -6 V
3 -5 V
3 -9 V
3 -9 V
2 -20 V
3 -20 V
3 -6 V
2 -15 V
3 -5 V
2 -6 V
4 -7 V
2 -5 V
3 -4 V
2 -5 V
4 -4 V
2 0 V
3 -6 V
2 -3 V
3 6 V
3 10 V
2 6 V
3 3 V
3 -3 V
3 2 V
2 2 V
4 4 V
2 6 V
2 7 V
3 6 V
2 7 V
4 7 V
2 -1 V
3 4 V
2 1 V
4 5 V
2 -11 V
2 14 V
4 2 V
2 13 V
3 3 V
2 -3 V
4 13 V
2 1 V
3 12 V
2 2 V
4 2 V
2 10 V
2 7 V
3 1 V
2 6 V
4 22 V
2 -5 V
3 4 V
3 -1 V
3 -2 V
2 -3 V
2 -7 V
4 -18 V
2 -10 V
3 6 V
2 -13 V
4 -7 V
2 -10 V
3 -15 V
2 -5 V
4 -28 V
2 -1 V
2 -21 V
3 -7 V
3 -10 V
3 -7 V
2 3 V
3 -6 V
3 -6 V
3 -2 V
2 0 V
2 -6 V
4 3 V
2 -1 V
3 4 V
2 4 V
4 8 V
2 -4 V
3 15 V
2 0 V
4 0 V
2 4 V
2 8 V
3 13 V
3 -5 V
3 5 V
2 4 V
3 1 V
3 13 V
3 17 V
2 7 V
2 0 V
4 12 V
2 -1 V
3 6 V
2 5 V
4 10 V
2 15 V
3 18 V
2 -6 V
4 2 V
2 9 V
2 14 V
3 -5 V
3 -4 V
3 17 V
2 0 V
3 4 V
3 -6 V
3 -14 V
2 -6 V
2 -7 V
4 -7 V
2 -13 V
3 -17 V
2 -14 V
4 -14 V
2 -8 V
3 -6 V
2 -13 V
4 -6 V
2 -10 V
2 -1 V
3 -14 V
3 3 V
3 1 V
2 -6 V
4 -5 V
2 3 V
3 -15 V
2 5 V
2 -1 V
4 1 V
2 -2 V
3 8 V
2 -2 V
4 -1 V
2 0 V
3 6 V
3 3 V
2 2 V
3 5 V
2 8 V
4 14 V
2 7 V
3 -1 V
2 -2 V
4 14 V
2 0 V
3 9 V
currentpoint stroke M
2 6 V
2 7 V
4 6 V
2 2 V
3 16 V
3 -3 V
3 10 V
2 10 V
3 21 V
3 11 V
2 4 V
3 -3 V
2 3 V
4 -5 V
2 0 V
3 -8 V
2 -7 V
4 -12 V
2 -6 V
3 -14 V
2 -17 V
3 6 V
3 -2 V
2 -17 V
3 -10 V
3 -13 V
3 -14 V
2 1 V
3 -11 V
3 -13 V
2 -2 V
3 -11 V
2 -13 V
4 -9 V
2 -3 V
3 0 V
2 -8 V
4 -3 V
2 4 V
3 9 V
2 2 V
3 3 V
3 7 V
2 -4 V
3 13 V
3 4 V
3 1 V
2 5 V
3 -5 V
3 15 V
2 9 V
3 -3 V
2 0 V
4 14 V
2 4 V
3 -1 V
2 5 V
4 5 V
2 -6 V
3 0 V
2 6 V
3 9 V
3 28 V
2 12 V
3 9 V
3 -13 V
3 5 V
2 9 V
4 0 V
2 2 V
2 -5 V
3 -1 V
2 4 V
4 -1 V
2 10 V
3 7 V
2 0 V
4 -14 V
2 2 V
2 -5 V
3 3 V
3 -8 V
3 -14 V
2 -2 V
4 -9 V
2 -8 V
3 -18 V
2 -11 V
4 -3 V
2 -17 V
2 -1 V
3 -3 V
2 -4 V
4 -12 V
2 -3 V
3 -10 V
3 -2 V
3 -7 V
2 -3 V
2 3 V
4 4 V
2 -3 V
3 6 V
2 12 V
4 3 V
2 2 V
3 16 V
2 7 V
4 2 V
2 13 V
2 20 V
3 11 V
3 0 V
3 24 V
2 7 V
3 -4 V
3 0 V
3 5 V
2 -4 V
2 6 V
4 15 V
2 2 V
3 -1 V
2 -5 V
4 1 V
2 3 V
3 12 V
2 -4 V
4 -8 V
2 5 V
2 1 V
3 1 V
3 6 V
3 -6 V
2 -5 V
3 0 V
3 5 V
3 -10 V
2 -5 V
2 -3 V
4 -13 V
2 2 V
3 1 V
2 -5 V
4 -17 V
2 -16 V
3 -13 V
2 -7 V
4 -13 V
2 -1 V
2 -9 V
3 -4 V
3 -6 V
3 2 V
2 -3 V
3 -2 V
3 -3 V
3 9 V
2 -6 V
2 0 V
4 4 V
2 -2 V
3 2 V
2 9 V
4 5 V
2 4 V
3 3 V
2 5 V
4 4 V
2 9 V
2 12 V
3 19 V
3 -3 V
3 8 V
2 13 V
4 0 V
2 18 V
3 7 V
2 -6 V
2 1 V
4 -1 V
2 0 V
3 4 V
2 -5 V
4 -3 V
2 4 V
3 13 V
2 6 V
3 -5 V
3 -9 V
2 1 V
4 -5 V
2 3 V
3 6 V
2 -4 V
4 -13 V
2 2 V
3 -11 V
2 -8 V
2 -5 V
4 -16 V
2 -14 V
3 -11 V
3 -12 V
3 -7 V
2 -12 V
3 -10 V
3 -1 V
2 -11 V
3 -8 V
2 -14 V
4 -9 V
2 -2 V
3 7 V
2 -2 V
4 12 V
2 2 V
3 4 V
2 -1 V
3 2 V
3 3 V
2 2 V
3 11 V
3 1 V
3 6 V
2 5 V
3 11 V
3 -3 V
2 11 V
3 0 V
2 4 V
4 16 V
2 2 V
3 -1 V
2 5 V
4 12 V
2 2 V
3 9 V
2 6 V
3 16 V
3 14 V
2 13 V
3 15 V
3 6 V
3 5 V
2 5 V
3 0 V
3 0 V
2 10 V
3 -4 V
2 -14 V
4 12 V
2 -4 V
3 -18 V
2 -21 V
4 -9 V
2 -2 V
3 -17 V
2 -8 V
3 -9 V
3 -19 V
2 -16 V
3 -14 V
3 -8 V
3 -14 V
2 -8 V
3 -7 V
3 -6 V
2 0 V
3 1 V
2 -5 V
4 0 V
2 -1 V
3 4 V
2 -2 V
4 8 V
2 1 V
2 5 V
3 9 V
3 -10 V
3 -6 V
2 3 V
4 6 V
2 5 V
3 5 V
2 4 V
4 1 V
2 6 V
2 -4 V
3 8 V
2 6 V
4 2 V
2 5 V
3 11 V
2 2 V
4 9 V
2 2 V
2 12 V
4 17 V
2 15 V
3 -2 V
2 10 V
4 5 V
2 0 V
3 4 V
2 2 V
4 8 V
2 14 V
2 -6 V
3 0 V
3 0 V
3 -4 V
2 5 V
3 -9 V
3 -10 V
3 -12 V
2 -14 V
2 -9 V
4 -4 V
2 -4 V
3 -21 V
2 -11 V
4 -17 V
2 -9 V
3 -6 V
2 -12 V
4 -10 V
2 -4 V
2 -5 V
3 -7 V
3 2 V
3 5 V
2 -2 V
3 -2 V
3 3 V
3 12 V
2 0 V
2 2 V
4 16 V
2 1 V
3 3 V
2 -7 V
4 3 V
2 0 V
3 7 V
2 7 V
4 7 V
2 9 V
2 10 V
3 -1 V
3 7 V
3 1 V
2 3 V
3 18 V
3 -5 V
3 14 V
2 2 V
2 11 V
4 17 V
2 -1 V
3 -1 V
2 1 V
4 14 V
2 3 V
3 6 V
2 9 V
4 -2 V
2 1 V
2 -6 V
4 7 V
2 -6 V
3 -7 V
2 -4 V
4 -7 V
2 -16 V
3 -5 V
2 -14 V
2 -21 V
4 -16 V
2 -2 V
3 -19 V
3 -10 V
3 -10 V
2 -4 V
3 -9 V
3 -5 V
2 -5 V
3 -8 V
2 -2 V
4 0 V
2 -5 V
3 2 V
2 6 V
4 2 V
2 1 V
3 8 V
2 -1 V
3 0 V
3 -3 V
2 1 V
currentpoint stroke M
3 4 V
3 6 V
3 0 V
2 7 V
3 1 V
3 2 V
2 7 V
3 7 V
2 0 V
4 10 V
2 14 V
3 6 V
2 0 V
4 10 V
2 -4 V
3 13 V
2 10 V
3 0 V
3 -6 V
2 3 V
3 12 V
3 11 V
3 2 V
2 8 V
3 7 V
3 10 V
2 -12 V
3 -10 V
2 4 V
4 4 V
2 -5 V
3 -21 V
2 -8 V
4 -19 V
2 -15 V
3 -5 V
2 -3 V
3 2 V
3 -22 V
2 -2 V
3 -12 V
3 -5 V
3 -11 V
2 -11 V
3 -7 V
3 -4 V
2 -2 V
3 -1 V
2 -3 V
4 -7 V
2 5 V
3 -4 V
2 5 V
4 4 V
2 5 V
3 2 V
2 3 V
3 2 V
3 12 V
2 9 V
4 -2 V
2 1 V
3 7 V
2 -2 V
4 13 V
2 9 V
2 1 V
3 0 V
2 11 V
4 9 V
2 8 V
3 3 V
2 6 V
4 15 V
2 2 V
2 13 V
4 1 V
2 -2 V
3 3 V
2 2 V
4 2 V
2 2 V
3 -7 V
2 -1 V
4 13 V
2 -1 V
2 -3 V
3 10 V
3 -4 V
3 -11 V
2 -3 V
3 -14 V
3 2 V
3 -6 V
2 -16 V
2 -7 V
4 -8 V
2 -5 V
3 -7 V
2 -12 V
4 -6 V
2 -5 V
3 -15 V
2 -4 V
4 -10 V
2 2 V
2 -4 V
3 -13 V
3 -8 V
3 -2 V
2 -1 V
3 8 V
3 3 V
3 0 V
2 9 V
2 6 V
4 3 V
2 8 V
3 4 V
2 0 V
4 13 V
2 11 V
3 15 V
2 9 V
4 18 V
2 -4 V
2 0 V
3 0 V
3 2 V
3 -3 V
2 4 V
3 11 V
3 3 V
3 -8 V
2 0 V
2 4 V
4 9 V
2 2 V
3 6 V
2 -3 V
4 1 V
2 7 V
3 -2 V
2 3 V
4 -19 V
2 8 V
2 6 V
3 5 V
3 1 V
3 -11 V
2 -10 V
3 2 V
3 -6 V
3 -13 V
2 2 V
2 -11 V
4 -14 V
2 -7 V
3 -14 V
2 -7 V
4 -8 V
2 -9 V
3 -10 V
2 -1 V
4 -4 V
2 -2 V
2 2 V
3 -7 V
3 0 V
3 -3 V
2 -2 V
4 2 V
2 9 V
3 11 V
2 -1 V
2 5 V
4 5 V
2 4 V
3 14 V
2 6 V
4 16 V
2 14 V
3 7 V
3 -3 V
2 8 V
3 7 V
2 -2 V
4 8 V
2 -1 V
3 8 V
2 7 V
4 9 V
2 6 V
3 2 V
2 2 V
3 7 V
3 -1 V
2 -9 V
3 7 V
3 -5 V
3 2 V
2 4 V
3 -11 V
3 -10 V
2 3 V
3 -3 V
2 -2 V
4 -1 V
2 -15 V
3 -16 V
2 -7 V
4 -15 V
2 -2 V
3 -13 V
2 -15 V
3 -8 V
3 -9 V
2 -8 V
3 2 V
3 1 V
3 0 V
2 -5 V
3 -11 V
3 -4 V
2 -2 V
3 2 V
2 -2 V
4 6 V
2 -3 V
3 -1 V
2 5 V
4 13 V
2 -1 V
3 3 V
2 3 V
3 7 V
3 -1 V
2 -2 V
3 4 V
3 6 V
3 10 V
2 2 V
3 10 V
3 8 V
2 1 V
3 2 V
2 6 V
4 4 V
2 13 V
3 7 V
2 5 V
4 16 V
2 15 V
3 8 V
2 14 V
3 -1 V
3 -3 V
2 -6 V
3 -1 V
3 4 V
3 9 V
2 1 V
4 -5 V
2 -19 V
2 0 V
3 -10 V
2 0 V
4 -14 V
2 -19 V
3 -20 V
2 -14 V
4 -6 V
2 -9 V
2 -7 V
4 -2 V
2 -11 V
3 -7 V
2 -12 V
4 -6 V
2 -5 V
3 3 V
2 -7 V
4 -1 V
2 5 V
2 -2 V
3 -2 V
2 5 V
4 -1 V
2 6 V
3 0 V
3 -4 V
3 5 V
2 5 V
2 3 V
4 2 V
2 9 V
3 9 V
2 -2 V
4 9 V
2 0 V
3 16 V
2 9 V
4 15 V
2 4 V
2 -5 V
3 -2 V
3 3 V
3 5 V
2 1 V
3 -7 V
3 20 V
3 12 V
2 -4 V
2 2 V
4 -2 V
2 -7 V
3 -1 V
2 4 V
4 10 V
2 4 V
3 5 V
2 11 V
4 -6 V
2 -6 V
2 2 V
3 -9 V
3 -18 V
3 -16 V
2 -14 V
3 -10 V
3 -7 V
3 3 V
2 -13 V
2 -13 V
4 -11 V
2 -4 V
3 -1 V
2 -6 V
4 -2 V
2 -4 V
3 -2 V
2 -2 V
4 -6 V
2 2 V
2 -1 V
3 4 V
3 0 V
3 10 V
2 -2 V
3 -5 V
3 0 V
3 -2 V
2 4 V
2 0 V
4 3 V
2 2 V
3 8 V
2 -1 V
4 4 V
2 2 V
3 11 V
2 5 V
3 6 V
3 3 V
2 11 V
3 9 V
3 9 V
3 12 V
2 5 V
4 6 V
2 2 V
3 -3 V
2 8 V
2 3 V
4 -4 V
2 15 V
3 -4 V
2 -1 V
4 12 V
2 6 V
3 -2 V
3 -4 V
2 -9 V
3 -5 V
2 -7 V
4 3 V
2 -6 V
3 -7 V
2 -6 V
4 -17 V
2 -9 V
3 -14 V
2 -13 V
3 -8 V
3 -14 V
2 -2 V
3 -3 V
3 2 V
3 -6 V
2 1 V
currentpoint stroke M
3 -5 V
3 -3 V
2 0 V
3 -3 V
2 3 V
4 0 V
2 3 V
3 -3 V
2 -6 V
4 1 V
2 3 V
3 11 V
2 1 V
3 0 V
3 10 V
2 4 V
3 2 V
3 4 V
3 -2 V
2 1 V
3 6 V
3 12 V
2 -2 V
3 14 V
2 9 V
4 11 V
2 8 V
3 6 V
2 8 V
4 -2 V
2 0 V
3 11 V
2 4 V
3 2 V
3 11 V
2 1 V
3 3 V
3 -1 V
3 -14 V
2 1 V
3 -1 V
1.000 UL
LT2
4081 210 M
(within past day) Rshow
4165 210 M
399 0 V
823 3377 M
13 -659 V
14 -60 V
13 -39 V
13 -16 V
13 -16 V
14 -37 V
13 -126 V
13 -40 V
13 -20 V
13 -18 V
14 -25 V
13 -17 V
13 -12 V
13 -3 V
14 -17 V
13 8 V
13 9 V
13 -10 V
14 -9 V
13 -17 V
13 -20 V
13 13 V
14 -3 V
13 -3 V
13 -5 V
13 -1 V
14 4 V
13 11 V
13 -14 V
13 2 V
13 5 V
14 17 V
13 19 V
13 -19 V
13 -12 V
14 -3 V
13 -6 V
13 0 V
13 -10 V
14 8 V
13 -12 V
13 -12 V
13 -10 V
14 -1 V
13 -3 V
13 0 V
13 -4 V
13 -8 V
14 -3 V
13 -7 V
13 -5 V
13 -1 V
14 12 V
13 -7 V
13 43 V
13 31 V
14 -13 V
13 -27 V
13 2 V
13 -6 V
14 0 V
13 -8 V
13 -4 V
13 1 V
14 -6 V
13 5 V
13 -17 V
13 -59 V
13 -14 V
14 -12 V
13 12 V
13 -14 V
13 -5 V
14 -4 V
13 0 V
13 -9 V
13 10 V
14 6 V
13 -1 V
13 14 V
13 -12 V
14 -10 V
13 -18 V
13 -8 V
13 -19 V
14 11 V
13 -5 V
13 10 V
13 -1 V
13 9 V
14 -16 V
13 -8 V
13 -12 V
13 -18 V
14 -11 V
13 -14 V
13 5 V
13 -26 V
14 -8 V
13 -2 V
13 6 V
13 13 V
14 10 V
13 11 V
13 6 V
13 0 V
13 -14 V
14 -10 V
13 2 V
13 1 V
13 13 V
14 -12 V
13 8 V
13 4 V
13 1 V
14 2 V
13 18 V
13 -22 V
13 -4 V
14 -1 V
13 -6 V
13 4 V
13 0 V
14 2 V
13 -4 V
13 6 V
13 -3 V
13 4 V
14 -19 V
13 -21 V
13 -2 V
13 -9 V
14 -5 V
13 -3 V
13 1 V
13 -3 V
14 -11 V
13 15 V
13 -4 V
13 -8 V
14 -2 V
13 -8 V
13 -7 V
13 0 V
13 -5 V
14 -1 V
13 9 V
13 -5 V
13 -1 V
14 18 V
13 5 V
13 -6 V
13 -23 V
14 -17 V
13 -7 V
13 -14 V
13 -1 V
14 3 V
13 0 V
13 -1 V
13 17 V
14 3 V
13 13 V
13 1 V
13 -7 V
13 -9 V
14 -5 V
13 3 V
13 -7 V
13 -7 V
14 1 V
13 12 V
13 2 V
13 -2 V
14 -18 V
13 -8 V
13 8 V
13 -11 V
14 -3 V
13 -8 V
13 -5 V
13 -6 V
13 -4 V
14 -2 V
13 14 V
13 1 V
13 -1 V
14 5 V
13 2 V
13 -3 V
13 3 V
14 -5 V
13 6 V
13 -1 V
13 -4 V
14 -1 V
13 -11 V
13 4 V
13 16 V
13 0 V
14 -13 V
13 -11 V
13 -9 V
13 -13 V
14 -6 V
13 3 V
13 -3 V
13 1 V
14 -10 V
13 9 V
13 0 V
13 -1 V
14 -8 V
13 -5 V
13 3 V
13 -5 V
14 -1 V
13 -6 V
13 -12 V
13 -8 V
13 11 V
14 11 V
13 10 V
13 6 V
13 0 V
14 -3 V
13 -13 V
13 -5 V
13 -8 V
14 9 V
13 2 V
13 -2 V
13 3 V
14 3 V
13 4 V
13 -6 V
13 -12 V
13 -3 V
14 -13 V
13 -5 V
13 -5 V
13 -6 V
14 10 V
13 11 V
13 2 V
13 19 V
14 -8 V
13 -14 V
13 -11 V
13 -6 V
14 -9 V
13 2 V
13 -1 V
13 -13 V
13 -2 V
14 5 V
13 3 V
13 0 V
13 0 V
14 8 V
13 -12 V
13 -10 V
13 -4 V
14 -10 V
13 -3 V
13 6 V
13 10 V
14 11 V
13 5 V
13 4 V
13 21 V
14 10 V
13 5 V
13 -7 V
13 -2 V
13 -7 V
14 -5 V
13 -4 V
13 -2 V
13 -7 V
14 11 V
13 -17 V
13 16 V
13 6 V
14 -3 V
13 -6 V
13 -2 V
13 -9 V
14 -1 V
13 0 V
13 4 V
13 -2 V
13 3 V
14 15 V
13 -10 V
13 -1 V
14 4 V
13 -5 V
13 -2 V
13 -6 V
13 -4 V
14 -1 V
13 -8 V
13 -1 V
13 10 V
14 11 V
13 6 V
13 0 V
13 9 V
14 -15 V
13 -3 V
13 -4 V
13 1 V
14 -1 V
13 0 V
13 0 V
13 4 V
13 -9 V
14 8 V
13 -8 V
13 -10 V
13 -16 V
14 -9 V
13 -8 V
13 -3 V
13 -1 V
14 -3 V
13 -6 V
13 0 V
13 18 V
14 10 V
13 -1 V
13 -13 V
13 -6 V
13 -14 V
14 5 V
13 -5 V
13 2 V
13 -2 V
14 18 V
13 5 V
13 -8 V
13 -3 V
14 -8 V
13 0 V
13 0 V
13 -6 V
14 -4 V
13 -7 V
13 0 V
13 11 V
14 8 V
13 -6 V
13 7 V
13 14 V
13 6 V
14 2 V
13 -1 V
13 -11 V
13 -2 V
14 -11 V
13 1 V
13 2 V
13 -3 V
14 -2 V
13 16 V
13 1 V
13 0 V
14 2 V
13 -8 V
13 -2 V
13 -4 V
13 -4 V
14 1 V
13 1 V
13 -5 V
13 6 V
14 0 V
13 -8 V
13 -7 V
13 -11 V
14 -7 V
13 -1 V
13 -2 V
13 -5 V
14 -1 V
13 1 V
13 -4 V
13 -2 V
14 4 V
13 -8 V
13 4 V
13 -6 V
13 13 V
14 -15 V
13 -4 V
13 -5 V
currentpoint stroke M
13 -9 V
14 -1 V
13 2 V
13 8 V
13 1 V
14 5 V
13 2 V
1.000 UL
LT3
4081 70 M
(within past week) Rshow
4165 70 M
399 0 V
1776 3910 M
34 -380 V
36 -27 V
35 -81 V
34 -15 V
35 -19 V
36 20 V
35 -18 V
34 -32 V
36 -17 V
35 -7 V
35 -15 V
34 -20 V
36 -26 V
35 -6 V
35 -14 V
34 -4 V
36 -26 V
35 -17 V
35 2 V
35 -10 V
35 -24 V
35 -29 V
35 -13 V
35 -7 V
35 -18 V
35 -85 V
36 -12 V
34 -14 V
35 -19 V
35 -6 V
36 -7 V
34 -49 V
35 -1 V
35 -14 V
36 -9 V
34 -30 V
35 -33 V
35 -3 V
36 -10 V
34 -8 V
35 -12 V
36 -8 V
35 -7 V
34 0 V
35 -15 V
36 -1 V
35 -9 V
34 -9 V
35 -25 V
36 -13 V
35 -2 V
34 -7 V
36 -5 V
35 2 V
35 -7 V
34 -9 V
36 1 V
35 -6 V
35 -11 V
34 0 V
36 -2 V
35 -23 V
35 -3 V
34 -5 V
36 2 V
35 -5 V
35 -11 V
35 -5 V
35 -6 V
35 -6 V
35 -9 V
35 1 V
35 -7 V
35 -1 V
36 -5 V
34 -11 V
35 -15 V
35 -7 V
36 -6 V
34 0 V
35 -11 V
35 2 V
36 -3 V
34 -4 V
35 -7 V
36 -8 V
35 -3 V
34 4 V
35 -9 V
36 -5 V
35 -10 V
34 -4 V
35 1 V
36 -1 V
35 -6 V
34 -9 V
36 -2 V
35 0 V
35 -10 V
34 1 V
36 -4 V
35 11 V
35 -3 V
34 -8 V
36 -5 V
35 4 V
35 -7 V
35 -7 V
35 -7 V
35 2 V
35 12 V
35 -4 V
35 -13 V
35 -9 V
36 -8 V
34 3 V
35 -20 V
35 -12 V
36 -2 V
34 -14 V
35 2 V
35 -8 V
36 -4 V
34 -4 V
35 -10 V
1.000 UL
LT4
6369 210 M
(cumulative) Rshow
6453 210 M
399 0 V
609 2538 M
107 631 V
104 205 V
77 55 V
77 87 V
77 31 V
78 52 V
77 25 V
77 44 V
77 21 V
78 36 V
77 25 V
77 84 V
77 30 V
77 17 V
78 47 V
77 45 V
77 38 V
77 12 V
77 5 V
78 27 V
77 6 V
77 13 V
77 11 V
78 11 V
77 4 V
77 3 V
77 7 V
77 11 V
78 4 V
77 16 V
77 4 V
77 9 V
77 5 V
78 10 V
77 7 V
77 8 V
77 3 V
78 3 V
77 13 V
77 3 V
77 7 V
77 8 V
78 8 V
77 5 V
77 2 V
77 6 V
77 8 V
78 5 V
77 8 V
77 3 V
77 7 V
78 1 V
77 3 V
77 4 V
77 7 V
77 2 V
78 11 V
77 1 V
77 4 V
77 5 V
78 10 V
77 2 V
77 9 V
77 3 V
77 8 V
78 5 V
77 3 V
77 4 V
77 2 V
77 2 V
78 2 V
stroke
grestore
end
showpage
%%Trailer
%%DocumentFonts: Helvetica
%%EndDocument
@endspecial 568 2344 a Fe(Figure)29 b(5.)g Fg(No)r(de)d(a)n(v)l
(ailabilit)n(y)g(since)g(the)g(no)r(des)g(w)n(ere)g(\014rst)f(disco)n
(v)n(ered)h(\(Mar)g(28,)h(2002\).)-72 2695 y Fh(to)k(the)h(exp)r
(erimen)n(t\).)46 b(W)-7 b(e)31 b(w)n(ere)g(surprised)e(to)i(see)g
(this)f(re-)-72 2794 y(sult.)59 b(W)-7 b(e)35 b(exp)r(ected)h(the)f(p)r
(eers)g(w)n(e)g(disco)n(v)n(ered)d(to)j(b)r(e)g(ge-)-72
2894 y(ographically)30 b(and)k(top)r(ologically)c(disp)r(ersed.)57
b(The)35 b(logical)-72 2994 y(top)r(ology)40 b(created)h(b)n(y)h(Gn)n
(utella)e(should)h(ha)n(v)n(e)g(no)g(corre-)-72 3093
y(sp)r(ondence)30 b(to)g(geograph)n(y)-7 b(.)43 b(W)-7
b(e)31 b(are)e(not)h(a)n(w)n(are)e(of)j(an)n(y)e(re-)-72
3193 y(strictions)20 b(on)j(net)n(w)n(ork)e(or)h(geographic)e(lo)r
(cation)g(for)j(joining)-72 3293 y(the)35 b(Gn)n(utella)d(net)n(w)n
(ork.)56 b(Messages)32 b(sen)n(t)i(on)g(Gn)n(utella)f(do)-72
3392 y(ha)n(v)n(e)27 b(a)h(10-application-l)o(a)n(y)m(er)o(-hop)22
b(limit,)j(whic)n(h)i(is)g(enough)-72 3492 y(to)h(get)g(to)h(other)e
(con)n(tinen)n(ts.)38 b(Therefore,)27 b(geographical)d(lo-)-72
3591 y(cation)e(should)g(b)r(e)i(irrelev)-5 b(an)n(t)20
b(to)j(pro)n(ximit)n(y)-7 b(.)32 b(Ho)n(w)n(ev)n(er,)22
b(this)-72 3691 y(is)29 b(not)h(what)g(w)n(e)g(observ)n(ed.)43
b(One)29 b(explanation)f(is)h(that)h(the)-72 3791 y(ma)5
b(jorit)n(y)28 b(of)k(users)e(of)i(Gn)n(utella)d(ma)n(y)h(b)r(e)i(in)e
(the)i(U.S.)g(Un-)-72 3890 y(fortunately)-7 b(,)28 b(w)n(e)g(had)g(no)h
(accurate)e(means)g(of)i(determining)-72 3990 y(geographical)23
b(lo)r(cation)i(of)i(individual)d(clien)n(ts.)11 4126
y(W)-7 b(e)33 b(also)e(analyzed)h(the)h(distribution)d(of)j(the)h
(lengths)d(of)-72 4226 y(con)n(tin)n(uous)38 b(time)g(that)j(p)r(eers)e
(w)n(ere)g(a)n(v)-5 b(ailable,)39 b(sho)n(wn)g(in)-72
4325 y(Figure)24 b(7.)36 b(The)26 b(\014gure)f(also)f(sho)n(ws)h(a)g
(comparison)d(to)k(a)g(log-)-72 4425 y(quadratic)c(distribution.)32
b(The)24 b(implications)18 b(are)23 b(that)h(most)-72
4524 y(no)r(des)30 b(are)f(a)n(v)-5 b(ailable)26 b(for)k(only)f(a)h
(short)g(time.)43 b(Ab)r(out)31 b(31\045)-72 4624 y(of)h(the)g
(sessions)e(ha)n(v)n(e)h(a)g(length)g(of)h(10)f(min)n(utes.)48
b(W)-7 b(e)32 b(w)n(ere)-72 4724 y(unable)g(to)i(further)f(de\014ne)h
(this)f(31\045)g(of)g(our)g(observ)-5 b(ations)-72 4823
y(since)26 b(w)n(e)i(prob)r(ed)f(no)r(des)g(ev)n(ery)g(ten)h(min)n
(utes.)11 4959 y(The)43 b(log-quadratic)38 b(could)k(b)r(e)h(appro)n
(ximated)c(w)n(ell)i(b)n(y)-72 5059 y(t)n(w)n(o)c(Zipf)6
b('s)38 b(distributions,)g(and)g(that)g(w)n(ould)f(mean)g(there)-72
5159 y(are)31 b(t)n(w)n(o)g(di\013eren)n(t)g(b)r(eha)n(viors)e
(regarding)g(a)j(no)r(de's)g(session)-72 5258 y(length.)k(Our)26
b(sp)r(eculation)f(on)i(the)h(t)n(w)n(o)e(Zipf)6 b('s)27
b(distribution)1977 3988 y @beginspecial 50 @llx 50 @lly
410 @urx 302 @ury 2359 @rwi @setspecial
%%BeginDocument: results/timeofday-7.eps
%!PS-Adobe-2.0 EPSF-2.0
%%Title: timeofday-7.eps
%%Creator: gnuplot 3.7 patchlevel 1
%%CreationDate: Sun May 5 19:33:48 2002
%%DocumentFonts: (atend)
%%BoundingBox: 50 50 410 302
%%Orientation: Portrait
%%EndComments
/gnudict 256 dict def
gnudict begin
/Color true def
/Solid false def
/gnulinewidth 5.000 def
/userlinewidth gnulinewidth def
/vshift -46 def
/dl {10 mul} def
/hpt_ 31.5 def
/vpt_ 31.5 def
/hpt hpt_ def
/vpt vpt_ def
/M {moveto} bind def
/L {lineto} bind def
/R {rmoveto} bind def
/V {rlineto} bind def
/vpt2 vpt 2 mul def
/hpt2 hpt 2 mul def
/Lshow { currentpoint stroke M
0 vshift R show } def
/Rshow { currentpoint stroke M
dup stringwidth pop neg vshift R show } def
/Cshow { currentpoint stroke M
dup stringwidth pop -2 div vshift R show } def
/UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def
/hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def
/DL { Color {setrgbcolor Solid {pop []} if 0 setdash }
{pop pop pop Solid {pop []} if 0 setdash} ifelse } def
/BL { stroke userlinewidth 2 mul setlinewidth } def
/AL { stroke userlinewidth 2 div setlinewidth } def
/UL { dup gnulinewidth mul /userlinewidth exch def
10 mul /udl exch def } def
/PL { stroke userlinewidth setlinewidth } def
/LTb { BL [] 0 0 0 DL } def
/LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def
/LT0 { PL [] 1 0 0 DL } def
/LT1 { PL [4 dl 2 dl] 0 1 0 DL } def
/LT2 { PL [2 dl 3 dl] 0 0 1 DL } def
/LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def
/LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def
/LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def
/LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def
/LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def
/LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def
/Pnt { stroke [] 0 setdash
gsave 1 setlinecap M 0 0 V stroke grestore } def
/Dia { stroke [] 0 setdash 2 copy vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke
Pnt } def
/Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V
currentpoint stroke M
hpt neg vpt neg R hpt2 0 V stroke
} def
/Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke
Pnt } def
/Crs { stroke [] 0 setdash exch hpt sub exch vpt add M
hpt2 vpt2 neg V currentpoint stroke M
hpt2 neg 0 R hpt2 vpt2 V stroke } def
/TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke
Pnt } def
/Star { 2 copy Pls Crs } def
/BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath fill } def
/TriUF { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath fill } def
/TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke
Pnt } def
/TriDF { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath fill} def
/DiaF { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath fill } def
/Pent { stroke [] 0 setdash 2 copy gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore Pnt } def
/PentF { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath fill grestore } def
/Circle { stroke [] 0 setdash 2 copy
hpt 0 360 arc stroke Pnt } def
/CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def
/C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def
/C1 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
vpt 0 360 arc closepath } bind def
/C2 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C3 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C4 { BL [] 0 setdash 2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C5 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc
2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc } bind def
/C6 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C7 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C8 { BL [] 0 setdash 2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C9 { BL [] 0 setdash 2 copy moveto
2 copy vpt 270 450 arc closepath fill
vpt 0 360 arc closepath } bind def
/C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C11 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C12 { BL [] 0 setdash 2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C13 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C14 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 360 arc closepath fill
vpt 0 360 arc } bind def
/C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath } bind def
/Square { dup Rec } bind def
/Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def
/S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def
/S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def
/S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def
/S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def
/S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def
/S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill
exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def
/S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def
/S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
2 copy vpt Square fill
Bsquare } bind def
/S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def
/S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def
/S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
Bsquare } bind def
/S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
Bsquare } bind def
/S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def
/S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy vpt Square fill Bsquare } bind def
/S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy exch vpt sub exch vpt Square fill Bsquare } bind def
/S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def
/D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def
/D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def
/D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def
/D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def
/D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def
/D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def
/D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def
/D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def
/D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def
/D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def
/D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def
/D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def
/D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def
/D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def
/D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def
/D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def
/DiaE { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke } def
/BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke } def
/TriUE { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke } def
/TriDE { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke } def
/PentE { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore } def
/CircE { stroke [] 0 setdash
hpt 0 360 arc stroke } def
/Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def
/DiaW { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V Opaque stroke } def
/BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V Opaque stroke } def
/TriUW { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V Opaque stroke } def
/TriDW { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V Opaque stroke } def
/PentW { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
Opaque stroke grestore } def
/CircW { stroke [] 0 setdash
hpt 0 360 arc Opaque stroke } def
/BoxFill { gsave Rec 1 setgray fill grestore } def
end
%%EndProlog
gnudict begin
gsave
50 50 translate
0.050 0.050 scale
0 setgray
newpath
(Helvetica) findfont 140 scalefont setfont
1.000 UL
LTb
693 483 M
-63 0 V
-84 0 R
(3.4) Rshow
693 943 M
-63 0 V
-84 0 R
(3.6) Rshow
693 1402 M
-63 0 V
-84 0 R
(3.8) Rshow
693 1862 M
-63 0 V
-84 0 R
(4) Rshow
693 2322 M
-63 0 V
-84 0 R
(4.2) Rshow
693 2781 M
-63 0 V
-84 0 R
(4.4) Rshow
693 3241 M
-63 0 V
-84 0 R
(4.6) Rshow
693 3701 M
-63 0 V
-84 0 R
(4.8) Rshow
693 4160 M
-63 0 V
-84 0 R
(5) Rshow
693 4620 M
-63 0 V
-84 0 R
(5.2) Rshow
693 483 M
0 -63 V
0 -140 R
(0) Cshow
1947 483 M
0 -63 V
0 -140 R
(5) Cshow
3201 483 M
0 -63 V
0 -140 R
(10) Cshow
4454 483 M
0 -63 V
0 -140 R
(15) Cshow
5708 483 M
0 -63 V
0 -140 R
(20) Cshow
6962 483 M
0 -63 V
0 -140 R
(25) Cshow
1.000 UL
LTb
693 483 M
6269 0 V
0 4137 V
-6269 0 V
693 483 L
140 2551 M
currentpoint gsave translate 90 rotate 0 0 M
(percentage of active nodes) Cshow
grestore
3827 70 M
(hour of day) Cshow
3827 4830 M
(Active Nodes vs Local Time) Cshow
1.000 UL
LT0
693 483 M
0 1687 V
125 0 V
818 483 L
-125 0 V
125 0 R
0 1214 V
251 0 V
0 -1214 V
-251 0 V
251 0 R
0 423 V
251 0 V
0 -423 V
-251 0 V
251 0 R
0 425 V
251 0 V
0 -425 V
-251 0 V
251 0 R
0 301 V
250 0 V
0 -301 V
-250 0 V
250 0 R
0 267 V
251 0 V
0 -267 V
-251 0 V
251 0 R
0 221 V
251 0 V
0 -221 V
-251 0 V
251 0 R
0 333 V
251 0 V
0 -333 V
-251 0 V
251 0 R
0 579 V
250 0 V
0 -579 V
-250 0 V
250 0 R
0 825 V
251 0 V
0 -825 V
-251 0 V
251 0 R
0 1099 V
251 0 V
0 -1099 V
-251 0 V
251 0 R
0 1262 V
251 0 V
0 -1262 V
-251 0 V
251 0 R
0 1439 V
250 0 V
0 -1439 V
-250 0 V
250 0 R
0 1618 V
251 0 V
0 -1618 V
-251 0 V
251 0 R
0 1951 V
251 0 V
0 -1951 V
-251 0 V
251 0 R
0 2432 V
251 0 V
0 -2432 V
-251 0 V
251 0 R
0 3050 V
251 0 V
0 -3050 V
-251 0 V
251 0 R
0 3484 V
250 0 V
0 -3484 V
-250 0 V
250 0 R
0 3645 V
251 0 V
0 -3645 V
-251 0 V
251 0 R
0 3880 V
251 0 V
0 -3880 V
-251 0 V
251 0 R
0 3804 V
251 0 V
0 -3804 V
-251 0 V
251 0 R
0 3422 V
250 0 V
0 -3422 V
-250 0 V
250 0 R
0 2811 V
251 0 V
0 -2811 V
-251 0 V
251 0 R
0 2119 V
251 0 V
0 -2119 V
-251 0 V
stroke
grestore
end
showpage
%%Trailer
%%DocumentFonts: Helvetica
%%EndDocument
@endspecial 175 x Fe(Figure)38 b(6.)f Fg(No)r(de)c(a)n(v)l(ailabilit)n
(y)h(as)g(a)f(function)g(of)h(the)e(hour)h(of)1977 4254
y(the)26 b(da)n(y)f(\(lo)r(cal)i(time\).)1977 4561 y
Fh(is)21 b(that)g(there)g(are)g(t)n(w)n(o)f(t)n(yp)r(es)h(of)h(In)n
(ternet)f(connection)f(users:)1977 4661 y(\014rst,)33
b(users)e(with)g(lo)n(w-bandwidth,)g(high)g(latency)f(and)i(un-)1977
4760 y(stable)25 b(connections)g(who)h(are)f(guarded)g(ab)r(out)h(the)h
(n)n(um)n(b)r(er)1977 4860 y(of)g(concurren)n(t)f(do)n(wnloads)f(they)i
(allo)n(w;)d(and)j(second,)g(users)1977 4959 y(with)21
b(more)f(resourceful)f(connections)h(who)h(do)h(not)f(limit)d(the)1977
5059 y(n)n(um)n(b)r(er)25 b(of)g(concurren)n(t)g(do)n(wnloads)e(as)i
(strictly)-7 b(.)34 b(It)26 b(ma)n(y)d(b)r(e)1977 5159
y(that)34 b(users)d(with)i(larger)d(n)n(um)n(b)r(ers)h(of)i(shared)f
(\014les)f(exhibit)1977 5258 y(prop)r(ortionately)h(shorter)i(a)n(v)-5
b(ailabilit)n(y)29 b(times;)38 b(this)d(m)n(ulti-)1915
5507 y(8)p eop
%%Page: 9 9
9 8 bop 125 1351 a @beginspecial 57 @llx 195 @lly 551
@urx 600 @ury 1887 @rwi @setspecial
%%BeginDocument: results/avail.eps
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: MATLAB, The Mathworks, Inc.
%%Title: ../avail.eps
%%CreationDate: 09/26/2002 11:51:20
%%DocumentNeededFonts: Helvetica
%%DocumentProcessColors: Cyan Magenta Yellow Black
%%LanguageLevel: 2
%%Pages: 1
%%BoundingBox: 57 195 551 600
%%EndComments
%%BeginProlog
% MathWorks dictionary
/MathWorks 160 dict begin
% definition operators
/bdef {bind def} bind def
/ldef {load def} bind def
/xdef {exch def} bdef
/xstore {exch store} bdef
% operator abbreviations
/c /clip ldef
/cc /concat ldef
/cp /closepath ldef
/gr /grestore ldef
/gs /gsave ldef
/mt /moveto ldef
/np /newpath ldef
/cm /currentmatrix ldef
/sm /setmatrix ldef
/rm /rmoveto ldef
/rl /rlineto ldef
/s /show ldef
/sc {setcmykcolor} bdef
/sr /setrgbcolor ldef
/sg /setgray ldef
/w /setlinewidth ldef
/j /setlinejoin ldef
/cap /setlinecap ldef
/rc {rectclip} bdef
/rf {rectfill} bdef
% page state control
/pgsv () def
/bpage {/pgsv save def} bdef
/epage {pgsv restore} bdef
/bplot /gsave ldef
/eplot {stroke grestore} bdef
% orientation switch
/portraitMode 0 def /landscapeMode 1 def /rotateMode 2 def
% coordinate system mappings
/dpi2point 0 def
% font control
/FontSize 0 def
/FMS {/FontSize xstore findfont [FontSize 0 0 FontSize neg 0 0]
makefont setfont} bdef
/reencode {exch dup where {pop load} {pop StandardEncoding} ifelse
exch dup 3 1 roll findfont dup length dict begin
{ 1 index /FID ne {def}{pop pop} ifelse } forall
/Encoding exch def currentdict end definefont pop} bdef
/isroman {findfont /CharStrings get /Agrave known} bdef
/FMSR {3 1 roll 1 index dup isroman {reencode} {pop pop} ifelse
exch FMS} bdef
/csm {1 dpi2point div -1 dpi2point div scale neg translate
dup landscapeMode eq {pop -90 rotate}
{rotateMode eq {90 rotate} if} ifelse} bdef
% line types: solid, dotted, dashed, dotdash
/SO { [] 0 setdash } bdef
/DO { [.5 dpi2point mul 4 dpi2point mul] 0 setdash } bdef
/DA { [6 dpi2point mul] 0 setdash } bdef
/DD { [.5 dpi2point mul 4 dpi2point mul 6 dpi2point mul 4
dpi2point mul] 0 setdash } bdef
% macros for lines and objects
/L {lineto stroke} bdef
/MP {3 1 roll moveto 1 sub {rlineto} repeat} bdef
/AP {{rlineto} repeat} bdef
/PDlw -1 def
/W {/PDlw currentlinewidth def setlinewidth} def
/PP {closepath eofill} bdef
/DP {closepath stroke} bdef
/MR {4 -2 roll moveto dup 0 exch rlineto exch 0 rlineto
neg 0 exch rlineto closepath} bdef
/FR {MR stroke} bdef
/PR {MR fill} bdef
/L1i {{currentfile picstr readhexstring pop} image} bdef
/tMatrix matrix def
/MakeOval {newpath tMatrix currentmatrix pop translate scale
0 0 1 0 360 arc tMatrix setmatrix} bdef
/FO {MakeOval stroke} bdef
/PO {MakeOval fill} bdef
/PD {currentlinewidth 2 div 0 360 arc fill
PDlw -1 eq not {PDlw w /PDlw -1 def} if} def
/FA {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arc tMatrix setmatrix stroke} bdef
/PA {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arc closepath tMatrix setmatrix fill} bdef
/FAn {newpath tMatrix currentmatrix pop translate scale
0 0 1 5 -2 roll arcn tMatrix setmatrix stroke} bdef
/PAn {newpath tMatrix currentmatrix pop translate 0 0 moveto scale
0 0 1 5 -2 roll arcn closepath tMatrix setmatrix fill} bdef
/vradius 0 def /hradius 0 def /lry 0 def
/lrx 0 def /uly 0 def /ulx 0 def /rad 0 def
/MRR {/vradius xdef /hradius xdef /lry xdef /lrx xdef /uly xdef
/ulx xdef newpath tMatrix currentmatrix pop ulx hradius add uly
vradius add translate hradius vradius scale 0 0 1 180 270 arc
tMatrix setmatrix lrx hradius sub uly vradius add translate
hradius vradius scale 0 0 1 270 360 arc tMatrix setmatrix
lrx hradius sub lry vradius sub translate hradius vradius scale
0 0 1 0 90 arc tMatrix setmatrix ulx hradius add lry vradius sub
translate hradius vradius scale 0 0 1 90 180 arc tMatrix setmatrix
closepath} bdef
/FRR {MRR stroke } bdef
/PRR {MRR fill } bdef
/MlrRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lry uly sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 90 270 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 270 90 arc tMatrix setmatrix
closepath} bdef
/FlrRR {MlrRR stroke } bdef
/PlrRR {MlrRR fill } bdef
/MtbRR {/lry xdef /lrx xdef /uly xdef /ulx xdef /rad lrx ulx sub 2 div def
newpath tMatrix currentmatrix pop ulx rad add uly rad add translate
rad rad scale 0 0 1 180 360 arc tMatrix setmatrix lrx rad sub lry rad
sub translate rad rad scale 0 0 1 0 180 arc tMatrix setmatrix
closepath} bdef
/FtbRR {MtbRR stroke } bdef
/PtbRR {MtbRR fill } bdef
/stri 6 array def /dtri 6 array def
/smat 6 array def /dmat 6 array def
/tmat1 6 array def /tmat2 6 array def /dif 3 array def
/asub {/ind2 exch def /ind1 exch def dup dup
ind1 get exch ind2 get sub exch } bdef
/tri_to_matrix {
2 0 asub 3 1 asub 4 0 asub 5 1 asub
dup 0 get exch 1 get 7 -1 roll astore } bdef
/compute_transform {
dmat dtri tri_to_matrix tmat1 invertmatrix
smat stri tri_to_matrix tmat2 concatmatrix } bdef
/ds {stri astore pop} bdef
/dt {dtri astore pop} bdef
/db {2 copy /cols xdef /rows xdef mul dup 3 mul string
currentfile
3 index 0 eq {/ASCIIHexDecode filter}
{/ASCII85Decode filter 3 index 2 eq {/RunLengthDecode filter} if }
ifelse exch readstring pop
dup 0 3 index getinterval /rbmap xdef
dup 2 index dup getinterval /gbmap xdef
1 index dup 2 mul exch getinterval /bbmap xdef pop pop}bdef
/it {gs np dtri aload pop moveto lineto lineto cp c
cols rows 8 compute_transform
rbmap gbmap bbmap true 3 colorimage gr}bdef
/il {newpath moveto lineto stroke}bdef
currentdict end def
%%EndProlog
%%BeginSetup
MathWorks begin
0 cap
end
%%EndSetup
%%Page: 1 1
%%BeginPageSetup
%%PageBoundingBox: 57 195 551 600
MathWorks begin
bpage
%%EndPageSetup
%%BeginObject: obj1
bplot
/dpi2point 12 def
portraitMode 0216 7344 csm
469 135 5928 4865 rc
91 dict begin %Colortable dictionary
/c0 { 0 0 0 sr} bdef
/c1 { 1 1 1 sr} bdef
/c2 { 1 0 0 sr} bdef
/c3 { 0 1 0 sr} bdef
/c4 { 0 0 1 sr} bdef
/c5 { 1 1 0 sr} bdef
/c6 { 1 0 1 sr} bdef
/c7 { 0 1 1 sr} bdef
c0
1 j
1 sg
0 0 6917 5185 rf
6 w
0 4225 5360 0 0 -4225 899 4614 4 MP
PP
-5360 0 0 4225 5360 0 0 -4225 899 4614 5 MP stroke
4 w
DO
SO
6 w
0 sg
899 4614 mt 6259 4614 L
899 389 mt 6259 389 L
899 4614 mt 899 389 L
6259 4614 mt 6259 389 L
899 4614 mt 6259 4614 L
899 4614 mt 899 389 L
899 4614 mt 899 4587 L
899 389 mt 899 415 L
899 4614 mt 899 4560 L
899 389 mt 899 442 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
811 4796 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
944 4722 mt
(0) s
1302 4614 mt 1302 4587 L
1302 389 mt 1302 415 L
1538 4614 mt 1538 4587 L
1538 389 mt 1538 415 L
1705 4614 mt 1705 4587 L
1705 389 mt 1705 415 L
1835 4614 mt 1835 4587 L
1835 389 mt 1835 415 L
1941 4614 mt 1941 4587 L
1941 389 mt 1941 415 L
2031 4614 mt 2031 4587 L
2031 389 mt 2031 415 L
2109 4614 mt 2109 4587 L
2109 389 mt 2109 415 L
2177 4614 mt 2177 4587 L
2177 389 mt 2177 415 L
2239 4614 mt 2239 4587 L
2239 389 mt 2239 415 L
2239 4614 mt 2239 4560 L
2239 389 mt 2239 442 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
2151 4796 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
2284 4722 mt
(1) s
2642 4614 mt 2642 4587 L
2642 389 mt 2642 415 L
2878 4614 mt 2878 4587 L
2878 389 mt 2878 415 L
3045 4614 mt 3045 4587 L
3045 389 mt 3045 415 L
3175 4614 mt 3175 4587 L
3175 389 mt 3175 415 L
3281 4614 mt 3281 4587 L
3281 389 mt 3281 415 L
3371 4614 mt 3371 4587 L
3371 389 mt 3371 415 L
3449 4614 mt 3449 4587 L
3449 389 mt 3449 415 L
3517 4614 mt 3517 4587 L
3517 389 mt 3517 415 L
3579 4614 mt 3579 4587 L
3579 389 mt 3579 415 L
3579 4614 mt 3579 4560 L
3579 389 mt 3579 442 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
3491 4796 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
3624 4722 mt
(2) s
3982 4614 mt 3982 4587 L
3982 389 mt 3982 415 L
4218 4614 mt 4218 4587 L
4218 389 mt 4218 415 L
4385 4614 mt 4385 4587 L
4385 389 mt 4385 415 L
4515 4614 mt 4515 4587 L
4515 389 mt 4515 415 L
4621 4614 mt 4621 4587 L
4621 389 mt 4621 415 L
4711 4614 mt 4711 4587 L
4711 389 mt 4711 415 L
4789 4614 mt 4789 4587 L
4789 389 mt 4789 415 L
4857 4614 mt 4857 4587 L
4857 389 mt 4857 415 L
4919 4614 mt 4919 4587 L
4919 389 mt 4919 415 L
4919 4614 mt 4919 4560 L
4919 389 mt 4919 442 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
4831 4796 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
4964 4722 mt
(3) s
5322 4614 mt 5322 4587 L
5322 389 mt 5322 415 L
5558 4614 mt 5558 4587 L
5558 389 mt 5558 415 L
5725 4614 mt 5725 4587 L
5725 389 mt 5725 415 L
5855 4614 mt 5855 4587 L
5855 389 mt 5855 415 L
5961 4614 mt 5961 4587 L
5961 389 mt 5961 415 L
6051 4614 mt 6051 4587 L
6051 389 mt 6051 415 L
6129 4614 mt 6129 4587 L
6129 389 mt 6129 415 L
6197 4614 mt 6197 4587 L
6197 389 mt 6197 415 L
6259 4614 mt 6259 4587 L
6259 389 mt 6259 415 L
6259 4614 mt 6259 4560 L
6259 389 mt 6259 442 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
6171 4796 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
6304 4722 mt
(4) s
899 4614 mt 925 4614 L
6259 4614 mt 6232 4614 L
899 4614 mt 952 4614 L
6259 4614 mt 6205 4614 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
640 4658 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
773 4584 mt
(-6) s
899 4432 mt 925 4432 L
6259 4432 mt 6232 4432 L
899 4326 mt 925 4326 L
6259 4326 mt 6232 4326 L
899 4250 mt 925 4250 L
6259 4250 mt 6232 4250 L
899 4192 mt 925 4192 L
6259 4192 mt 6232 4192 L
899 4144 mt 925 4144 L
6259 4144 mt 6232 4144 L
899 4103 mt 925 4103 L
6259 4103 mt 6232 4103 L
899 4068 mt 925 4068 L
6259 4068 mt 6232 4068 L
899 4038 mt 925 4038 L
6259 4038 mt 6232 4038 L
899 4010 mt 925 4010 L
6259 4010 mt 6232 4010 L
899 4010 mt 952 4010 L
6259 4010 mt 6205 4010 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
640 4054 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
773 3980 mt
(-5) s
899 3828 mt 925 3828 L
6259 3828 mt 6232 3828 L
899 3722 mt 925 3722 L
6259 3722 mt 6232 3722 L
899 3647 mt 925 3647 L
6259 3647 mt 6232 3647 L
899 3588 mt 925 3588 L
6259 3588 mt 6232 3588 L
899 3540 mt 925 3540 L
6259 3540 mt 6232 3540 L
899 3500 mt 925 3500 L
6259 3500 mt 6232 3500 L
899 3465 mt 925 3465 L
6259 3465 mt 6232 3465 L
899 3434 mt 925 3434 L
6259 3434 mt 6232 3434 L
899 3406 mt 925 3406 L
6259 3406 mt 6232 3406 L
899 3406 mt 952 3406 L
6259 3406 mt 6205 3406 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
640 3450 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
773 3376 mt
(-4) s
899 3225 mt 925 3225 L
6259 3225 mt 6232 3225 L
899 3118 mt 925 3118 L
6259 3118 mt 6232 3118 L
899 3043 mt 925 3043 L
6259 3043 mt 6232 3043 L
899 2984 mt 925 2984 L
6259 2984 mt 6232 2984 L
899 2937 mt 925 2937 L
6259 2937 mt 6232 2937 L
899 2896 mt 925 2896 L
6259 2896 mt 6232 2896 L
899 2861 mt 925 2861 L
6259 2861 mt 6232 2861 L
899 2830 mt 925 2830 L
6259 2830 mt 6232 2830 L
899 2803 mt 925 2803 L
6259 2803 mt 6232 2803 L
899 2803 mt 952 2803 L
6259 2803 mt 6205 2803 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
640 2847 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
773 2773 mt
(-3) s
899 2621 mt 925 2621 L
6259 2621 mt 6232 2621 L
899 2515 mt 925 2515 L
6259 2515 mt 6232 2515 L
899 2439 mt 925 2439 L
6259 2439 mt 6232 2439 L
899 2381 mt 925 2381 L
6259 2381 mt 6232 2381 L
899 2333 mt 925 2333 L
6259 2333 mt 6232 2333 L
899 2293 mt 925 2293 L
6259 2293 mt 6232 2293 L
899 2258 mt 925 2258 L
6259 2258 mt 6232 2258 L
899 2227 mt 925 2227 L
6259 2227 mt 6232 2227 L
899 2199 mt 925 2199 L
6259 2199 mt 6232 2199 L
899 2199 mt 952 2199 L
6259 2199 mt 6205 2199 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
640 2243 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
773 2169 mt
(-2) s
899 2018 mt 925 2018 L
6259 2018 mt 6232 2018 L
899 1911 mt 925 1911 L
6259 1911 mt 6232 1911 L
899 1836 mt 925 1836 L
6259 1836 mt 6232 1836 L
899 1777 mt 925 1777 L
6259 1777 mt 6232 1777 L
899 1730 mt 925 1730 L
6259 1730 mt 6232 1730 L
899 1689 mt 925 1689 L
6259 1689 mt 6232 1689 L
899 1654 mt 925 1654 L
6259 1654 mt 6232 1654 L
899 1623 mt 925 1623 L
6259 1623 mt 6232 1623 L
899 1596 mt 925 1596 L
6259 1596 mt 6232 1596 L
899 1596 mt 952 1596 L
6259 1596 mt 6205 1596 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
640 1640 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
773 1566 mt
(-1) s
899 1414 mt 925 1414 L
6259 1414 mt 6232 1414 L
899 1308 mt 925 1308 L
6259 1308 mt 6232 1308 L
899 1232 mt 925 1232 L
6259 1232 mt 6232 1232 L
899 1174 mt 925 1174 L
6259 1174 mt 6232 1174 L
899 1126 mt 925 1126 L
6259 1126 mt 6232 1126 L
899 1086 mt 925 1086 L
6259 1086 mt 6232 1086 L
899 1051 mt 925 1051 L
6259 1051 mt 6232 1051 L
899 1020 mt 925 1020 L
6259 1020 mt 6232 1020 L
899 992 mt 925 992 L
6259 992 mt 6232 992 L
899 992 mt 952 992 L
6259 992 mt 6205 992 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
640 1036 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
773 962 mt
(0) s
899 810 mt 925 810 L
6259 810 mt 6232 810 L
899 704 mt 925 704 L
6259 704 mt 6232 704 L
899 629 mt 925 629 L
6259 629 mt 6232 629 L
899 570 mt 925 570 L
6259 570 mt 6232 570 L
899 522 mt 925 522 L
6259 522 mt 6232 522 L
899 482 mt 925 482 L
6259 482 mt 6232 482 L
899 447 mt 925 447 L
6259 447 mt 6232 447 L
899 416 mt 925 416 L
6259 416 mt 6232 416 L
899 389 mt 925 389 L
6259 389 mt 6232 389 L
899 389 mt 952 389 L
6259 389 mt 6205 389 L
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
640 433 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 80 FMSR
773 359 mt
(1) s
899 4614 mt 6259 4614 L
899 389 mt 6259 389 L
899 4614 mt 899 389 L
6259 4614 mt 6259 389 L
gs 899 389 5361 4226 rc
gr
24 W
/c8 { 0.000000 0.000000 1.000000 sr} bdef
c8
899 1023 PD
24 W
2717 1730 PD
24 W
3107 1998 PD
24 W
3339 2153 PD
24 W
3504 2328 PD
24 W
3632 2430 PD
24 W
3738 2549 PD
24 W
3827 2725 PD
24 W
3904 2834 PD
24 W
3972 2902 PD
24 W
4033 2935 PD
24 W
4088 2950 PD
24 W
4139 3028 PD
24 W
4185 3078 PD
24 W
4228 3124 PD
24 W
4268 3209 PD
24 W
4306 3306 PD
24 W
4341 3372 PD
24 W
4374 3372 PD
24 W
4405 3553 PD
24 W
4435 3460 PD
24 W
4463 3354 PD
24 W
4490 3594 PD
24 W
4516 3700 PD
24 W
4541 3642 PD
24 W
4565 3518 PD
24 W
4587 3435 PD
24 W
4609 3882 PD
24 W
4631 3700 PD
24 W
4651 3882 PD
24 W
4671 3882 PD
24 W
4690 4063 PD
24 W
4708 3882 PD
24 W
4726 3882 PD
24 W
4743 3882 PD
24 W
4760 3882 PD
24 W
4777 4063 PD
24 W
4792 4063 PD
24 W
4808 3882 PD
24 W
4823 3882 PD
24 W
4852 3882 PD
24 W
4880 3882 PD
24 W
4893 4063 PD
24 W
4944 4063 PD
24 W
5001 4063 PD
24 W
5044 3775 PD
24 W
5163 4063 PD
24 W
5365 4063 PD
gs 899 389 5361 4226 rc
/c9 { 0.000000 0.500000 0.000000 sr} bdef
c9
58 79 58 79 58 78 58 77 59 76 58 75 58 75 58 73
58 73 59 72 58 71 58 70 58 70 58 68 59 68 58 67
58 66 58 65 58 64 59 64 58 63 58 61 58 61 58 61
59 59 58 58 58 58 58 57 58 56 59 55 58 54 58 53
58 53 58 52 58 50 59 50 58 50 58 48 58 47 58 47
59 46 58 45 58 44 58 43 58 43 59 41 58 41 58 40
58 39 58 38 59 38 58 36 58 36 58 35 58 34 59 33
58 32 58 32 58 30 58 30 59 29 58 28 58 28 58 26
58 26 59 24 58 24 58 23 58 23 58 21 59 20 58 20
58 19 58 18 58 17 58 16 899 900 77 MP stroke
gr
c9
0 sg
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
2275 4917 mt
(log) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
2435 4977 mt
(10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 120 FMSR
2541 4917 mt
(\(node availability length\), units of 10 minutes) s
585 2881 mt -90 rotate
(log\(frequency\)) s
90 rotate
2312 294 mt
(Distribution of length of time nodes are available) s
1292 4234 mt
(Gnutella) s
1292 4437 mt
(log-quadratic,y=10) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
2309 4377 mt
(-0.16x) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 72 FMSR
2599 4317 mt
(2) s
%%IncludeResource: font Helvetica
/Helvetica /ISOLatin1Encoding 96 FMSR
2639 4377 mt
( -0.61x +0.35) s
gs 959 4185 2325 370 rc
gs 1052 4213 147 147 rc
24 W
c8
1125 4286 PD
gr
c8
c9
200 0 1025 4457 2 MP stroke
gr
c9
end
eplot
%%EndObject
epage
end
showpage
%%Trailer
%%EOF
%%EndDocument
@endspecial -72 1525 a Fe(Figure)32 b(7.)h Fg(No)r(de)c(a)n(v)l
(ailabilit)n(y)g(session)h(length)f(compared)f(to)h(a)-72
1617 y(log-quadratic.)-72 1883 y Fh(plicativ)n(e)h(factor)j(and)g(t)n
(w)n(o)g(user)f(t)n(yp)r(es)i(ma)n(y)d(b)r(e)j(the)g(cause)-72
1983 y(of)28 b(the)g(t)n(w)n(o)e(p)r(o)n(w)n(er)h(la)n(ws.)11
2127 y(W)-7 b(e)31 b(w)n(ere)e(concerned)g(that)i(a)f(\014v)n(e-w)n
(eek)e(p)r(erio)r(d)i(w)n(as)f(to)r(o)-72 2226 y(long)36
b(to)h(a)n(v)n(erage)e(and)i(bin)g(results.)65 b(Ho)n(w)n(ev)n(er,)38
b(w)n(e)f(found)-72 2326 y(that)24 b(the)g(session)d(length)i
(distribution)e(is)h(rather)h(consisten)n(t)-72 2426
y(o)n(v)n(er)30 b(the)i(\014v)n(e-w)n(eek)e(p)r(erio)r(d.)48
b(Figure)31 b(8)g(sho)n(ws)f(the)j(session)-72 2525 y(length)22
b(distribution)f(using)g(just)j(data)f(collected)e(in)h(the)i(\014rst)
-72 2625 y(w)n(eek)d(of)h(the)g(exp)r(erimen)n(t)e(and)h(the)h(session)
e(length)h(distribu-)-72 2724 y(tion)i(using)f(data)h(from)g(just)h
(the)g(last)e(w)n(eek)h(of)h(the)g(\014v)n(e-w)n(eek)-72
2824 y(p)r(erio)r(d.)36 b(The)27 b(t)n(w)n(o)g(distributions)e(are)h
(almost)f(iden)n(tical.)11 2968 y(W)-7 b(e)59 b(wished)f(to)g(compare)f
(our)g(measuremen)n(ts)f(with)-72 3068 y(Saroiu)161 3038
y Ff(3)215 3068 y Fh(et)20 b(al.'s)d(study)j(on)e(lifetime)e
(measuremen)n(t)h(of)i(no)r(des.)-72 3167 y(W)-7 b(e)37
b(pro)r(duced)g(the)g(same)e(a)n(v)-5 b(ailabilit)n(y)31
b(CDF)37 b(distribution)-72 3267 y(they)21 b(ha)n(v)n(e)e(sho)n(wn)h
(with)g(a)g(subset)h(of)g(our)f(data)g(that)h(w)n(as)e(col-)-72
3367 y(lected)k(in)g(the)i(\014rst)f(sev)n(en)f(da)n(ys)g(our)g(exp)r
(erimen)n(t.)33 b(\(Sariou's)-72 3466 y(exp)r(erimen)n(t)28
b(lasted)h(60)h(hours.\))44 b(The)30 b(lo)n(w)n(er)e(line)h(sho)n(wn)g
(in)-72 3566 y(Figure)i(9)i(is)e(the)j(CDF)f(distribution,)e(whic)n(h)h
(is)g(v)n(ery)g(simi-)-72 3665 y(lar)e(to)i(the)h(results)d(sho)n(wn)i
(b)n(y)f(Saroiu.)49 b(The)32 b(upp)r(er)g(line)f(is)-72
3765 y(the)g(same)f(p)r(erformance)f(analysis)e(computed)k(without)f
(the)-72 3865 y(full)38 b(set)h(of)h(data.)71 b(The)39
b(CDF)h(of)f(the)h(larger)c(data)j(set)h(is)-72 3964
y(left-shifted)34 b(signi\014can)n(tly)-7 b(,)34 b(meaning)f(that)j
(the)f(n)n(um)n(b)r(er)f(of)-72 4064 y(sessions)23 b(with)i(shorter)f
(duration)f(dominates)g(more)h(acutely)-72 4164 y(than)38
b(previously)d(rep)r(orted.)67 b(This)37 b(further)h(supp)r(orts)g(the)
-72 4263 y(conclusion)26 b(that)j(p)r(eers)g(in)f(the)i(Gn)n(utella)d
(net)n(w)n(ork)g(tend)j(to)-72 4363 y(ha)n(v)n(e)c(v)n(ery)h(short)g(a)
n(v)-5 b(ailabilit)n(y)21 b(times.)469 4605 y Fj(6.)32
b(CONCLUSIONS)-72 4760 y Fh(W)-7 b(e)25 b(ha)n(v)n(e)e(sho)n(wn)h(that)
g(signi\014can)n(t)e(amoun)n(ts)h(of)h(lo)r(calit)n(y)d(ex-)-72
4860 y(ist)28 b(in)h(b)r(oth)g(the)h(stored)e(and)h(transferred)f
(\014les)g(on)h(Napster)-72 4959 y(and)22 b(Gn)n(utella.)34
b(These)22 b(measuremen)n(ts)d(are)j(closely)d(appro)n(x-)-72
5059 y(imated)h(b)n(y)i(a)g(log-quadratic)c(\(or)j(double)g(p)r(o)n(w)n
(er)g(la)n(w\))g(distri-)-72 5159 y(bution.)48 b(The)32
b(demographics)c(of)k(stored)e(data)i(in)e(Gn)n(utella)-72
5258 y(sho)n(w)24 b(that)i(audio)e(\014les)g(represen)n(t)g(the)i(bulk)
f(of)g(shared)f(\014les.)1977 1438 y @beginspecial 50
@llx 50 @lly 410 @urx 302 @ury 2359 @rwi @setspecial
%%BeginDocument: results/FirstAndLast-Y-Norm.eps
%!PS-Adobe-2.0 EPSF-2.0
%%Title: FirstAndLast.eps
%%Creator: gnuplot 3.7 patchlevel 1
%%CreationDate: Mon May 13 15:42:37 2002
%%DocumentFonts: (atend)
%%BoundingBox: 50 50 410 302
%%Orientation: Portrait
%%EndComments
/gnudict 256 dict def
gnudict begin
/Color true def
/Solid false def
/gnulinewidth 5.000 def
/userlinewidth gnulinewidth def
/vshift -46 def
/dl {10 mul} def
/hpt_ 31.5 def
/vpt_ 31.5 def
/hpt hpt_ def
/vpt vpt_ def
/M {moveto} bind def
/L {lineto} bind def
/R {rmoveto} bind def
/V {rlineto} bind def
/vpt2 vpt 2 mul def
/hpt2 hpt 2 mul def
/Lshow { currentpoint stroke M
0 vshift R show } def
/Rshow { currentpoint stroke M
dup stringwidth pop neg vshift R show } def
/Cshow { currentpoint stroke M
dup stringwidth pop -2 div vshift R show } def
/UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def
/hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def
/DL { Color {setrgbcolor Solid {pop []} if 0 setdash }
{pop pop pop Solid {pop []} if 0 setdash} ifelse } def
/BL { stroke userlinewidth 2 mul setlinewidth } def
/AL { stroke userlinewidth 2 div setlinewidth } def
/UL { dup gnulinewidth mul /userlinewidth exch def
10 mul /udl exch def } def
/PL { stroke userlinewidth setlinewidth } def
/LTb { BL [] 0 0 0 DL } def
/LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def
/LT0 { PL [] 1 0 0 DL } def
/LT1 { PL [4 dl 2 dl] 0 1 0 DL } def
/LT2 { PL [2 dl 3 dl] 0 0 1 DL } def
/LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def
/LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def
/LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def
/LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def
/LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def
/LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def
/Pnt { stroke [] 0 setdash
gsave 1 setlinecap M 0 0 V stroke grestore } def
/Dia { stroke [] 0 setdash 2 copy vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke
Pnt } def
/Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V
currentpoint stroke M
hpt neg vpt neg R hpt2 0 V stroke
} def
/Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke
Pnt } def
/Crs { stroke [] 0 setdash exch hpt sub exch vpt add M
hpt2 vpt2 neg V currentpoint stroke M
hpt2 neg 0 R hpt2 vpt2 V stroke } def
/TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke
Pnt } def
/Star { 2 copy Pls Crs } def
/BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath fill } def
/TriUF { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath fill } def
/TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke
Pnt } def
/TriDF { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath fill} def
/DiaF { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath fill } def
/Pent { stroke [] 0 setdash 2 copy gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore Pnt } def
/PentF { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath fill grestore } def
/Circle { stroke [] 0 setdash 2 copy
hpt 0 360 arc stroke Pnt } def
/CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def
/C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def
/C1 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
vpt 0 360 arc closepath } bind def
/C2 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C3 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C4 { BL [] 0 setdash 2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C5 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc
2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc } bind def
/C6 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C7 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C8 { BL [] 0 setdash 2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C9 { BL [] 0 setdash 2 copy moveto
2 copy vpt 270 450 arc closepath fill
vpt 0 360 arc closepath } bind def
/C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C11 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C12 { BL [] 0 setdash 2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C13 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C14 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 360 arc closepath fill
vpt 0 360 arc } bind def
/C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath } bind def
/Square { dup Rec } bind def
/Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def
/S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def
/S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def
/S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def
/S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def
/S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def
/S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill
exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def
/S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def
/S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
2 copy vpt Square fill
Bsquare } bind def
/S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def
/S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def
/S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
Bsquare } bind def
/S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
Bsquare } bind def
/S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def
/S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy vpt Square fill Bsquare } bind def
/S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy exch vpt sub exch vpt Square fill Bsquare } bind def
/S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def
/D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def
/D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def
/D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def
/D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def
/D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def
/D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def
/D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def
/D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def
/D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def
/D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def
/D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def
/D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def
/D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def
/D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def
/D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def
/D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def
/DiaE { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke } def
/BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke } def
/TriUE { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke } def
/TriDE { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke } def
/PentE { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore } def
/CircE { stroke [] 0 setdash
hpt 0 360 arc stroke } def
/Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def
/DiaW { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V Opaque stroke } def
/BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V Opaque stroke } def
/TriUW { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V Opaque stroke } def
/TriDW { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V Opaque stroke } def
/PentW { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
Opaque stroke grestore } def
/CircW { stroke [] 0 setdash
hpt 0 360 arc Opaque stroke } def
/BoxFill { gsave Rec 1 setgray fill grestore } def
end
%%EndProlog
gnudict begin
gsave
50 50 translate
0.050 0.050 scale
0 setgray
newpath
(Helvetica) findfont 140 scalefont setfont
1.000 UL
LTb
1.000 UL
LTa
945 483 M
6017 0 V
1.000 UL
LTb
945 483 M
-63 0 V
-84 0 R
(1e-05) Rshow
945 732 M
-31 0 V
31 329 R
-31 0 V
31 169 R
-31 0 V
1.000 UL
LTa
945 1310 M
6017 0 V
1.000 UL
LTb
945 1310 M
-63 0 V
-84 0 R
(0.0001) Rshow
945 1559 M
-31 0 V
31 330 R
-31 0 V
31 169 R
-31 0 V
1.000 UL
LTa
945 2138 M
6017 0 V
1.000 UL
LTb
945 2138 M
-63 0 V
-84 0 R
(0.001) Rshow
945 2387 M
-31 0 V
31 329 R
-31 0 V
31 169 R
-31 0 V
1.000 UL
LTa
945 2965 M
6017 0 V
1.000 UL
LTb
945 2965 M
-63 0 V
-84 0 R
(0.01) Rshow
945 3214 M
-31 0 V
31 330 R
-31 0 V
31 168 R
-31 0 V
1.000 UL
LTa
945 3793 M
6017 0 V
1.000 UL
LTb
945 3793 M
-63 0 V
-84 0 R
(0.1) Rshow
945 4042 M
-31 0 V
31 329 R
-31 0 V
31 169 R
-31 0 V
1.000 UL
LTa
945 4620 M
6017 0 V
1.000 UL
LTb
945 4620 M
-63 0 V
-84 0 R
(1) Rshow
945 483 M
0 -63 V
0 -140 R
(1) Cshow
1549 483 M
0 -31 V
353 31 R
0 -31 V
251 31 R
0 -31 V
194 31 R
0 -31 V
159 31 R
0 -31 V
134 31 R
0 -31 V
116 31 R
0 -31 V
103 31 R
0 -31 V
92 31 R
0 -63 V
0 -140 R
(10) Cshow
3554 483 M
0 -31 V
354 31 R
0 -31 V
250 31 R
0 -31 V
195 31 R
0 -31 V
158 31 R
0 -31 V
135 31 R
0 -31 V
116 31 R
0 -31 V
103 31 R
0 -31 V
91 31 R
0 -63 V
0 -140 R
(100) Cshow
5560 483 M
0 -31 V
353 31 R
0 -31 V
251 31 R
0 -31 V
194 31 R
0 -31 V
159 31 R
0 -31 V
134 31 R
0 -31 V
117 31 R
0 -31 V
102 31 R
0 -31 V
92 31 R
0 -63 V
0 -140 R
(1000) Cshow
1.000 UL
LTb
945 483 M
6017 0 V
0 4137 V
-6017 0 V
945 483 L
140 2551 M
currentpoint gsave translate 90 rotate 0 0 M
(Session Count) Cshow
grestore
3953 70 M
(Session Length) Cshow
3953 4830 M
(Up Time Session Length) Cshow
1.000 UL
LTb
1029 4277 M
0 280 V
1323 0 V
0 -280 V
-1323 0 V
0 280 R
1323 0 V
1.000 UP
1.000 UL
LT1
1785 4487 M
(FirstWeek) Rshow
945 4216 Pls
1549 3936 Pls
1902 3752 Pls
2153 3634 Pls
2347 3505 Pls
2506 3433 Pls
2640 3368 Pls
2756 3262 Pls
2859 3212 Pls
2951 3167 Pls
3034 3123 Pls
3109 3080 Pls
3179 3013 Pls
3244 2972 Pls
3304 2936 Pls
3360 2892 Pls
3413 2851 Pls
3463 2791 Pls
3510 2830 Pls
3554 2741 Pls
3597 2729 Pls
3637 2707 Pls
3676 2656 Pls
3713 2610 Pls
3749 2645 Pls
3783 2573 Pls
3816 2510 Pls
3848 2517 Pls
3878 2494 Pls
3908 2526 Pls
3936 2458 Pls
3964 2497 Pls
3991 2418 Pls
4017 2396 Pls
4042 2363 Pls
4066 2310 Pls
4090 2332 Pls
4114 2293 Pls
4136 2310 Pls
4158 2293 Pls
4180 2255 Pls
4201 2304 Pls
4221 2261 Pls
4241 2274 Pls
4261 2129 Pls
4280 2205 Pls
4299 2220 Pls
4317 2197 Pls
4335 2147 Pls
4353 2109 Pls
4370 2129 Pls
4387 2119 Pls
4403 2099 Pls
4420 2044 Pls
4436 2089 Pls
4451 2044 Pls
4467 1992 Pls
4482 2078 Pls
4497 1978 Pls
4511 2099 Pls
4526 2031 Pls
4540 1898 Pls
4554 1963 Pls
4568 1948 Pls
4581 1948 Pls
4594 2019 Pls
4607 1992 Pls
4620 2031 Pls
4633 1932 Pls
4646 1818 Pls
4658 1915 Pls
4670 1915 Pls
4682 2156 Pls
4694 1860 Pls
4706 1840 Pls
4717 1932 Pls
4729 1795 Pls
4740 1898 Pls
4751 1795 Pls
4762 1569 Pls
4773 1879 Pls
4783 1770 Pls
4794 1649 Pls
4804 1611 Pls
4815 1795 Pls
4825 1743 Pls
4835 1795 Pls
4845 1683 Pls
4855 1649 Pls
4865 1465 Pls
4874 1611 Pls
4884 1649 Pls
4893 1714 Pls
4902 1683 Pls
4912 1649 Pls
4921 1683 Pls
4930 1569 Pls
4939 1770 Pls
4948 1770 Pls
4956 1743 Pls
4965 1569 Pls
4974 1569 Pls
4982 1465 Pls
4990 1070 Pls
4999 1770 Pls
5007 1649 Pls
5015 1465 Pls
5023 1649 Pls
5031 1521 Pls
5039 1070 Pls
5047 1070 Pls
5055 1465 Pls
5063 1521 Pls
5070 1649 Pls
5078 1400 Pls
5086 1216 Pls
5093 1521 Pls
5101 1320 Pls
5108 1569 Pls
5115 1611 Pls
5122 1521 Pls
5130 1400 Pls
5137 1216 Pls
5144 1521 Pls
5151 1465 Pls
5158 1400 Pls
5165 1611 Pls
5171 1465 Pls
5178 1465 Pls
5185 1320 Pls
5192 1216 Pls
5198 1521 Pls
5205 1216 Pls
5211 1070 Pls
5218 1320 Pls
5224 1320 Pls
5231 1070 Pls
5237 821 Pls
5243 1569 Pls
5249 1216 Pls
5256 1216 Pls
5268 1320 Pls
5274 1400 Pls
5280 1216 Pls
5286 1465 Pls
5292 1070 Pls
5298 1216 Pls
5304 1320 Pls
5310 1070 Pls
5315 1070 Pls
5321 1320 Pls
5327 1216 Pls
5332 821 Pls
5338 1070 Pls
5344 821 Pls
5349 1070 Pls
5355 1070 Pls
5360 821 Pls
5366 821 Pls
5371 821 Pls
5377 1320 Pls
5382 1320 Pls
5387 1070 Pls
5393 1216 Pls
5398 1070 Pls
5403 1216 Pls
5413 821 Pls
5419 821 Pls
5439 821 Pls
5444 821 Pls
5449 821 Pls
5454 821 Pls
5459 1070 Pls
5463 1216 Pls
5468 1216 Pls
5473 821 Pls
5483 1070 Pls
5487 1320 Pls
5497 1070 Pls
5506 1070 Pls
5511 821 Pls
5515 1216 Pls
5520 1070 Pls
5529 821 Pls
5538 1216 Pls
5543 821 Pls
5547 1070 Pls
5556 821 Pls
5560 1070 Pls
5564 821 Pls
5569 821 Pls
5573 1070 Pls
5577 821 Pls
5582 821 Pls
5590 821 Pls
5603 821 Pls
5615 1216 Pls
5619 821 Pls
5623 821 Pls
5635 821 Pls
5639 821 Pls
5643 821 Pls
5651 821 Pls
5659 821 Pls
5663 821 Pls
5667 1070 Pls
5678 1216 Pls
5686 821 Pls
5689 1070 Pls
5697 821 Pls
5701 821 Pls
5708 821 Pls
5712 821 Pls
5723 1070 Pls
5726 821 Pls
5730 1216 Pls
5733 821 Pls
5737 821 Pls
5740 1070 Pls
5744 821 Pls
5747 821 Pls
5751 1216 Pls
5758 821 Pls
5765 821 Pls
5775 1070 Pls
5779 821 Pls
5789 1216 Pls
5792 821 Pls
5795 1070 Pls
5799 1070 Pls
5809 821 Pls
5815 1070 Pls
5825 821 Pls
5828 821 Pls
5831 821 Pls
5841 821 Pls
5844 821 Pls
5859 821 Pls
5869 1070 Pls
5878 821 Pls
5887 821 Pls
5896 821 Pls
5905 821 Pls
5913 1070 Pls
5916 821 Pls
5928 821 Pls
5936 821 Pls
5939 821 Pls
5956 821 Pls
5964 821 Pls
5975 821 Pls
5980 821 Pls
5991 821 Pls
5994 821 Pls
6007 821 Pls
6009 821 Pls
6017 821 Pls
6035 821 Pls
6038 821 Pls
6043 821 Pls
6053 821 Pls
6108 821 Pls
6151 821 Pls
6157 821 Pls
6162 821 Pls
6166 821 Pls
6175 1070 Pls
6213 821 Pls
6257 821 Pls
6272 821 Pls
6278 1070 Pls
6306 821 Pls
6312 821 Pls
6328 821 Pls
6348 821 Pls
6374 821 Pls
6452 821 Pls
6463 821 Pls
6465 821 Pls
6481 821 Pls
6595 821 Pls
6717 821 Pls
6787 821 Pls
6899 821 Pls
2068 4487 Pls
1.000 UP
1.000 UL
LT2
1785 4347 M
(LastWeek) Rshow
945 4189 Crs
1549 3912 Crs
1902 3705 Crs
2153 3598 Crs
2347 3548 Crs
2506 3417 Crs
2640 3376 Crs
2756 3299 Crs
2859 3265 Crs
2951 3184 Crs
3034 3143 Crs
3109 3100 Crs
3179 3084 Crs
3244 2979 Crs
3304 2966 Crs
3360 2953 Crs
3413 2905 Crs
3463 2868 Crs
3510 2856 Crs
3554 2826 Crs
3597 2793 Crs
3637 2732 Crs
3676 2719 Crs
3713 2744 Crs
3749 2616 Crs
3783 2679 Crs
3816 2649 Crs
3848 2679 Crs
3878 2604 Crs
3908 2518 Crs
3936 2561 Crs
3964 2518 Crs
3991 2567 Crs
4017 2462 Crs
4042 2487 Crs
4066 2479 Crs
4090 2434 Crs
4114 2361 Crs
4136 2444 Crs
4158 2444 Crs
4180 2349 Crs
4201 2425 Crs
4221 2373 Crs
4241 2337 Crs
4261 2076 Crs
4280 2145 Crs
4299 2384 Crs
4317 2166 Crs
4335 2166 Crs
4353 2405 Crs
4370 2238 Crs
4387 2254 Crs
4403 2185 Crs
4420 2123 Crs
4436 2254 Crs
4451 2221 Crs
4467 1955 Crs
4482 1989 Crs
4497 2020 Crs
4511 2123 Crs
4526 2123 Crs
4540 2049 Crs
4554 2204 Crs
4568 1955 Crs
4581 2100 Crs
4594 1955 Crs
4607 2076 Crs
4620 1955 Crs
4633 2204 Crs
4646 1989 Crs
4658 2100 Crs
4670 1706 Crs
4682 1955 Crs
4694 1989 Crs
4706 1826 Crs
4717 1771 Crs
4729 1706 Crs
4740 2020 Crs
4751 1706 Crs
4762 1826 Crs
4773 1989 Crs
4783 1771 Crs
4794 2020 Crs
4804 1522 Crs
4815 1706 Crs
4825 1826 Crs
4835 1771 Crs
4845 1522 Crs
4855 1706 Crs
4865 1989 Crs
4874 1625 Crs
4884 1955 Crs
4893 1706 Crs
4902 1874 Crs
4912 1826 Crs
4921 1522 Crs
4930 1706 Crs
4939 1826 Crs
4948 1625 Crs
4956 1826 Crs
4965 1522 Crs
4982 1522 Crs
4990 1376 Crs
4999 1874 Crs
5007 1771 Crs
5015 1771 Crs
5023 1522 Crs
5031 1522 Crs
5039 1522 Crs
5047 1376 Crs
5055 1522 Crs
5063 1625 Crs
5070 1625 Crs
5078 1376 Crs
5086 1522 Crs
5093 1771 Crs
5101 1376 Crs
5108 1127 Crs
5122 1771 Crs
5130 1522 Crs
5137 1522 Crs
5144 1127 Crs
5151 1625 Crs
5158 1127 Crs
5171 1127 Crs
5178 1522 Crs
5185 1522 Crs
5192 1522 Crs
5205 1522 Crs
5218 1522 Crs
5224 1706 Crs
5231 1127 Crs
5237 1376 Crs
5243 1625 Crs
5249 1522 Crs
5262 1625 Crs
5268 1522 Crs
5274 1625 Crs
5280 1625 Crs
5286 1376 Crs
5292 1127 Crs
5298 1376 Crs
5304 1522 Crs
5310 1376 Crs
5315 1376 Crs
5321 1376 Crs
5327 1376 Crs
5344 1127 Crs
5349 1127 Crs
5355 1127 Crs
5360 1127 Crs
5371 1127 Crs
5377 1127 Crs
5382 1522 Crs
5387 1127 Crs
5393 1127 Crs
5403 1127 Crs
5408 1376 Crs
5413 1522 Crs
5424 1127 Crs
5434 1376 Crs
5449 1127 Crs
5454 1376 Crs
5468 1127 Crs
5483 1376 Crs
5487 1127 Crs
5497 1127 Crs
5502 1127 Crs
5506 1127 Crs
5525 1127 Crs
5538 1127 Crs
5547 1127 Crs
5551 1127 Crs
5556 1376 Crs
5560 1376 Crs
5564 1127 Crs
5573 1127 Crs
5582 1127 Crs
5594 1127 Crs
5607 1127 Crs
5635 1127 Crs
5639 1127 Crs
5643 1376 Crs
5667 1127 Crs
5670 1127 Crs
5674 1127 Crs
5689 1127 Crs
5697 1127 Crs
5708 1127 Crs
5712 1127 Crs
5723 1127 Crs
5726 1376 Crs
5730 1376 Crs
5737 1127 Crs
5744 1127 Crs
5761 1127 Crs
5768 1127 Crs
5772 1127 Crs
5789 1127 Crs
5795 1127 Crs
5818 1127 Crs
5825 1127 Crs
5850 1127 Crs
5862 1127 Crs
5869 1127 Crs
5875 1127 Crs
5905 1127 Crs
5933 1127 Crs
5945 1376 Crs
5956 1127 Crs
5959 1127 Crs
5980 1127 Crs
5991 1127 Crs
6009 1127 Crs
6032 1127 Crs
6043 1127 Crs
6050 1376 Crs
6082 1127 Crs
6119 1127 Crs
6124 1127 Crs
6133 1127 Crs
6213 1127 Crs
6239 1127 Crs
6255 1127 Crs
6257 1127 Crs
6274 1127 Crs
6391 1127 Crs
6407 1127 Crs
6416 1127 Crs
6444 1127 Crs
6494 1127 Crs
2068 4347 Crs
stroke
grestore
end
showpage
%%Trailer
%%DocumentFonts: Helvetica
%%EndDocument
@endspecial 174 x Fe(Figure)h(8.)f Fg(No)r(de)e(a)n(v)l(ailabilit)n(y)
g(session)h(length)f(for)g(\014rst)g(and)f(last)1977
1704 y(w)n(eek.)1977 3113 y @beginspecial 50 @llx 50
@lly 410 @urx 302 @ury 2359 @rwi @setspecial
%%BeginDocument: results/uptime-cdf-snapshot.eps
%!PS-Adobe-2.0 EPSF-2.0
%%Title: uptime-cdf-snapshot.eps
%%Creator: gnuplot 3.7 patchlevel 1
%%CreationDate: Thu May 16 10:31:15 2002
%%DocumentFonts: (atend)
%%BoundingBox: 50 50 410 302
%%Orientation: Portrait
%%EndComments
/gnudict 256 dict def
gnudict begin
/Color true def
/Solid false def
/gnulinewidth 5.000 def
/userlinewidth gnulinewidth def
/vshift -46 def
/dl {10 mul} def
/hpt_ 31.5 def
/vpt_ 31.5 def
/hpt hpt_ def
/vpt vpt_ def
/M {moveto} bind def
/L {lineto} bind def
/R {rmoveto} bind def
/V {rlineto} bind def
/vpt2 vpt 2 mul def
/hpt2 hpt 2 mul def
/Lshow { currentpoint stroke M
0 vshift R show } def
/Rshow { currentpoint stroke M
dup stringwidth pop neg vshift R show } def
/Cshow { currentpoint stroke M
dup stringwidth pop -2 div vshift R show } def
/UP { dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def
/hpt2 hpt 2 mul def /vpt2 vpt 2 mul def } def
/DL { Color {setrgbcolor Solid {pop []} if 0 setdash }
{pop pop pop Solid {pop []} if 0 setdash} ifelse } def
/BL { stroke userlinewidth 2 mul setlinewidth } def
/AL { stroke userlinewidth 2 div setlinewidth } def
/UL { dup gnulinewidth mul /userlinewidth exch def
10 mul /udl exch def } def
/PL { stroke userlinewidth setlinewidth } def
/LTb { BL [] 0 0 0 DL } def
/LTa { AL [1 udl mul 2 udl mul] 0 setdash 0 0 0 setrgbcolor } def
/LT0 { PL [] 1 0 0 DL } def
/LT1 { PL [4 dl 2 dl] 0 1 0 DL } def
/LT2 { PL [2 dl 3 dl] 0 0 1 DL } def
/LT3 { PL [1 dl 1.5 dl] 1 0 1 DL } def
/LT4 { PL [5 dl 2 dl 1 dl 2 dl] 0 1 1 DL } def
/LT5 { PL [4 dl 3 dl 1 dl 3 dl] 1 1 0 DL } def
/LT6 { PL [2 dl 2 dl 2 dl 4 dl] 0 0 0 DL } def
/LT7 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 1 0.3 0 DL } def
/LT8 { PL [2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 2 dl 4 dl] 0.5 0.5 0.5 DL } def
/Pnt { stroke [] 0 setdash
gsave 1 setlinecap M 0 0 V stroke grestore } def
/Dia { stroke [] 0 setdash 2 copy vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke
Pnt } def
/Pls { stroke [] 0 setdash vpt sub M 0 vpt2 V
currentpoint stroke M
hpt neg vpt neg R hpt2 0 V stroke
} def
/Box { stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke
Pnt } def
/Crs { stroke [] 0 setdash exch hpt sub exch vpt add M
hpt2 vpt2 neg V currentpoint stroke M
hpt2 neg 0 R hpt2 vpt2 V stroke } def
/TriU { stroke [] 0 setdash 2 copy vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke
Pnt } def
/Star { 2 copy Pls Crs } def
/BoxF { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath fill } def
/TriUF { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath fill } def
/TriD { stroke [] 0 setdash 2 copy vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke
Pnt } def
/TriDF { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath fill} def
/DiaF { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath fill } def
/Pent { stroke [] 0 setdash 2 copy gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore Pnt } def
/PentF { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath fill grestore } def
/Circle { stroke [] 0 setdash 2 copy
hpt 0 360 arc stroke Pnt } def
/CircleF { stroke [] 0 setdash hpt 0 360 arc fill } def
/C0 { BL [] 0 setdash 2 copy moveto vpt 90 450 arc } bind def
/C1 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
vpt 0 360 arc closepath } bind def
/C2 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C3 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C4 { BL [] 0 setdash 2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C5 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc
2 copy moveto
2 copy vpt 180 270 arc closepath fill
vpt 0 360 arc } bind def
/C6 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C7 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 270 arc closepath fill
vpt 0 360 arc closepath } bind def
/C8 { BL [] 0 setdash 2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C9 { BL [] 0 setdash 2 copy moveto
2 copy vpt 270 450 arc closepath fill
vpt 0 360 arc closepath } bind def
/C10 { BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill
2 copy moveto
2 copy vpt 90 180 arc closepath fill
vpt 0 360 arc closepath } bind def
/C11 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 180 arc closepath fill
2 copy moveto
2 copy vpt 270 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C12 { BL [] 0 setdash 2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C13 { BL [] 0 setdash 2 copy moveto
2 copy vpt 0 90 arc closepath fill
2 copy moveto
2 copy vpt 180 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/C14 { BL [] 0 setdash 2 copy moveto
2 copy vpt 90 360 arc closepath fill
vpt 0 360 arc } bind def
/C15 { BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill
vpt 0 360 arc closepath } bind def
/Rec { newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto
neg 0 rlineto closepath } bind def
/Square { dup Rec } bind def
/Bsquare { vpt sub exch vpt sub exch vpt2 Square } bind def
/S0 { BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare } bind def
/S1 { BL [] 0 setdash 2 copy vpt Square fill Bsquare } bind def
/S2 { BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare } bind def
/S3 { BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare } bind def
/S4 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def
/S5 { BL [] 0 setdash 2 copy 2 copy vpt Square fill
exch vpt sub exch vpt sub vpt Square fill Bsquare } bind def
/S6 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare } bind def
/S7 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill
2 copy vpt Square fill
Bsquare } bind def
/S8 { BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare } bind def
/S9 { BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare } bind def
/S10 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill
Bsquare } bind def
/S11 { BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill
Bsquare } bind def
/S12 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare } bind def
/S13 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy vpt Square fill Bsquare } bind def
/S14 { BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill
2 copy exch vpt sub exch vpt Square fill Bsquare } bind def
/S15 { BL [] 0 setdash 2 copy Bsquare fill Bsquare } bind def
/D0 { gsave translate 45 rotate 0 0 S0 stroke grestore } bind def
/D1 { gsave translate 45 rotate 0 0 S1 stroke grestore } bind def
/D2 { gsave translate 45 rotate 0 0 S2 stroke grestore } bind def
/D3 { gsave translate 45 rotate 0 0 S3 stroke grestore } bind def
/D4 { gsave translate 45 rotate 0 0 S4 stroke grestore } bind def
/D5 { gsave translate 45 rotate 0 0 S5 stroke grestore } bind def
/D6 { gsave translate 45 rotate 0 0 S6 stroke grestore } bind def
/D7 { gsave translate 45 rotate 0 0 S7 stroke grestore } bind def
/D8 { gsave translate 45 rotate 0 0 S8 stroke grestore } bind def
/D9 { gsave translate 45 rotate 0 0 S9 stroke grestore } bind def
/D10 { gsave translate 45 rotate 0 0 S10 stroke grestore } bind def
/D11 { gsave translate 45 rotate 0 0 S11 stroke grestore } bind def
/D12 { gsave translate 45 rotate 0 0 S12 stroke grestore } bind def
/D13 { gsave translate 45 rotate 0 0 S13 stroke grestore } bind def
/D14 { gsave translate 45 rotate 0 0 S14 stroke grestore } bind def
/D15 { gsave translate 45 rotate 0 0 S15 stroke grestore } bind def
/DiaE { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V closepath stroke } def
/BoxE { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V closepath stroke } def
/TriUE { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V closepath stroke } def
/TriDE { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V closepath stroke } def
/PentE { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
closepath stroke grestore } def
/CircE { stroke [] 0 setdash
hpt 0 360 arc stroke } def
/Opaque { gsave closepath 1 setgray fill grestore 0 setgray closepath } def
/DiaW { stroke [] 0 setdash vpt add M
hpt neg vpt neg V hpt vpt neg V
hpt vpt V hpt neg vpt V Opaque stroke } def
/BoxW { stroke [] 0 setdash exch hpt sub exch vpt add M
0 vpt2 neg V hpt2 0 V 0 vpt2 V
hpt2 neg 0 V Opaque stroke } def
/TriUW { stroke [] 0 setdash vpt 1.12 mul add M
hpt neg vpt -1.62 mul V
hpt 2 mul 0 V
hpt neg vpt 1.62 mul V Opaque stroke } def
/TriDW { stroke [] 0 setdash vpt 1.12 mul sub M
hpt neg vpt 1.62 mul V
hpt 2 mul 0 V
hpt neg vpt -1.62 mul V Opaque stroke } def
/PentW { stroke [] 0 setdash gsave
translate 0 hpt M 4 {72 rotate 0 hpt L} repeat
Opaque stroke grestore } def
/CircW { stroke [] 0 setdash
hpt 0 360 arc Opaque stroke } def
/BoxFill { gsave Rec 1 setgray fill grestore } def
end
%%EndProlog
gnudict begin
gsave
50 50 translate
0.050 0.050 scale
0 setgray
newpath
(Helvetica) findfont 140 scalefont setfont
1.000 UL
LTb
1.000 UL
LTa
693 483 M
6269 0 V
1.000 UL
LTb
693 483 M
-63 0 V
-84 0 R
(0.1) Rshow
1.000 UL
LTa
693 943 M
6269 0 V
1.000 UL
LTb
693 943 M
-63 0 V
-84 0 R
(0.2) Rshow
1.000 UL
LTa
693 1402 M
6269 0 V
1.000 UL
LTb
693 1402 M
-63 0 V
-84 0 R
(0.3) Rshow
1.000 UL
LTa
693 1862 M
6269 0 V
1.000 UL
LTb
693 1862 M
-63 0 V
-84 0 R
(0.4) Rshow
1.000 UL
LTa
693 2322 M
6269 0 V
1.000 UL
LTb
693 2322 M
-63 0 V
-84 0 R
(0.5) Rshow
1.000 UL
LTa
693 2781 M
6269 0 V
1.000 UL
LTb
693 2781 M
-63 0 V
-84 0 R
(0.6) Rshow
1.000 UL
LTa
693 3241 M
6269 0 V
1.000 UL
LTb
693 3241 M
-63 0 V
-84 0 R
(0.7) Rshow
1.000 UL
LTa
693 3701 M
6269 0 V
1.000 UL
LTb
693 3701 M
-63 0 V
-84 0 R
(0.8) Rshow
1.000 UL
LTa
693 4160 M
6269 0 V
1.000 UL
LTb
693 4160 M
-63 0 V
-84 0 R
(0.9) Rshow
1.000 UL
LTa
693 4620 M
6269 0 V
1.000 UL
LTb
693 4620 M
-63 0 V
-84 0 R
(1) Rshow
693 483 M
0 -63 V
0 -140 R
(0) Cshow
1320 483 M
0 -63 V
0 -140 R
(0.1) Cshow
1947 483 M
0 -63 V
0 -140 R
(0.2) Cshow
2574 483 M
0 -63 V
0 -140 R
(0.3) Cshow
3201 483 M
0 -63 V
0 -140 R
(0.4) Cshow
3828 483 M
0 -63 V
0 -140 R
(0.5) Cshow
4454 483 M
0 -63 V
0 -140 R
(0.6) Cshow
5081 483 M
0 -63 V
0 -140 R
(0.7) Cshow
5708 483 M
0 -63 V
0 -140 R
(0.8) Cshow
6335 483 M
0 -63 V
0 -140 R
(0.9) Cshow
6962 483 M
0 -63 V
0 -140 R
(1) Cshow
1.000 UL
LTb
693 483 M
6269 0 V
0 4137 V
-6269 0 V
693 483 L
140 2551 M
currentpoint gsave translate 90 rotate 0 0 M
(Node Percentage) Cshow
grestore
3827 70 M
(Uptime Percentage) Cshow
3827 4830 M
(Up Time Session Length CDF) Cshow
1.000 UL
LTb
777 4277 M
0 280 V
2583 0 V
0 -280 V
-2583 0 V
0 280 R
2583 0 V
1.000 UP
1.000 UL
LT0
2793 4487 M
(Small \(Early\) Data Set) Rshow
709 812 Pls
724 916 Pls
740 1003 Pls
756 1098 Pls
771 1196 Pls
787 1297 Pls
802 1394 Pls
818 1452 Pls
834 1499 Pls
849 1563 Pls
865 1614 Pls
881 1654 Pls
896 1694 Pls
912 1739 Pls
928 1770 Pls
943 1817 Pls
959 1841 Pls
974 1881 Pls
990 1912 Pls
1006 1937 Pls
1021 1972 Pls
1037 2012 Pls
1053 2050 Pls
1068 2068 Pls
1084 2101 Pls
1099 2126 Pls
1115 2163 Pls
1131 2199 Pls
1146 2219 Pls
1162 2243 Pls
1178 2261 Pls
1193 2290 Pls
1209 2328 Pls
1225 2355 Pls
1240 2379 Pls
1256 2397 Pls
1271 2419 Pls
1287 2450 Pls
1303 2461 Pls
1318 2481 Pls
1334 2497 Pls
1350 2523 Pls
1365 2550 Pls
1381 2577 Pls
1397 2595 Pls
1412 2615 Pls
1428 2646 Pls
1443 2672 Pls
1459 2692 Pls
1475 2702 Pls
1490 2732 Pls
1506 2755 Pls
1522 2766 Pls
1537 2797 Pls
1553 2824 Pls
1568 2842 Pls
1584 2866 Pls
1600 2882 Pls
1615 2904 Pls
1631 2921 Pls
1647 2939 Pls
1662 2962 Pls
1678 2990 Pls
1694 3013 Pls
1709 3041 Pls
1725 3051 Pls
1740 3068 Pls
1756 3082 Pls
1772 3095 Pls
1787 3101 Pls
1803 3115 Pls
1819 3142 Pls
1834 3162 Pls
1850 3184 Pls
1866 3197 Pls
1881 3211 Pls
1897 3228 Pls
1912 3240 Pls
1928 3262 Pls
1944 3270 Pls
1959 3290 Pls
1975 3299 Pls
1991 3306 Pls
2006 3317 Pls
2022 3322 Pls
2037 3333 Pls
2053 3348 Pls
2069 3360 Pls
2084 3370 Pls
2100 3380 Pls
2116 3389 Pls
2131 3400 Pls
2147 3408 Pls
2163 3417 Pls
2178 3433 Pls
2194 3442 Pls
2209 3453 Pls
2225 3464 Pls
2241 3468 Pls
2256 3479 Pls
2272 3486 Pls
2288 3489 Pls
2303 3500 Pls
2319 3517 Pls
2335 3520 Pls
2350 3526 Pls
2366 3531 Pls
2381 3546 Pls
2397 3555 Pls
2413 3562 Pls
2428 3577 Pls
2444 3579 Pls
2460 3586 Pls
2475 3602 Pls
2491 3611 Pls
2506 3613 Pls
2522 3617 Pls
2538 3620 Pls
2553 3624 Pls
2569 3629 Pls
2585 3637 Pls
2600 3642 Pls
2616 3646 Pls
2632 3648 Pls
2647 3653 Pls
2663 3662 Pls
2678 3666 Pls
2694 3669 Pls
2710 3675 Pls
2725 3680 Pls
2741 3684 Pls
2757 3688 Pls
2772 3697 Pls
2804 3702 Pls
2819 3711 Pls
2850 3718 Pls
2866 3722 Pls
2897 3729 Pls
2913 3740 Pls
2929 3748 Pls
2944 3757 Pls
2960 3760 Pls
2975 3764 Pls
2991 3773 Pls
3007 3780 Pls
3022 3784 Pls
3038 3788 Pls
3054 3789 Pls
3069 3795 Pls
3085 3804 Pls
3101 3806 Pls
3116 3808 Pls
3132 3815 Pls
3163 3818 Pls
3179 3824 Pls
3194 3831 Pls
3210 3842 Pls
3226 3844 Pls
3241 3848 Pls
3257 3851 Pls
3273 3864 Pls
3288 3871 Pls
3304 3873 Pls
3319 3878 Pls
3335 3884 Pls
3351 3889 Pls
3366 3891 Pls
3382 3897 Pls
3398 3909 Pls
3413 3913 Pls
3429 3917 Pls
3444 3922 Pls
3460 3928 Pls
3476 3929 Pls
3491 3931 Pls
3507 3937 Pls
3523 3944 Pls
3538 3946 Pls
3554 3951 Pls
3585 3953 Pls
3601 3957 Pls
3632 3958 Pls
3648 3966 Pls
3663 3967 Pls
3679 3975 Pls
3695 3980 Pls
3710 3982 Pls
3726 3987 Pls
3742 3989 Pls
3757 3991 Pls
3773 3997 Pls
3788 4000 Pls
3804 4002 Pls
3820 4004 Pls
3835 4007 Pls
3851 4011 Pls
3867 4015 Pls
3898 4020 Pls
3913 4026 Pls
3929 4027 Pls
3945 4035 Pls
3960 4038 Pls
3976 4046 Pls
3992 4051 Pls
4007 4057 Pls
4039 4058 Pls
4054 4062 Pls
4085 4064 Pls
4101 4066 Pls
4132 4067 Pls
4148 4071 Pls
4164 4073 Pls
4179 4077 Pls
4195 4084 Pls
4211 4087 Pls
4226 4089 Pls
4242 4093 Pls
4257 4098 Pls
4289 4104 Pls
4304 4107 Pls
4320 4109 Pls
4336 4113 Pls
4351 4115 Pls
4367 4117 Pls
4398 4118 Pls
4414 4124 Pls
4429 4129 Pls
4461 4131 Pls
4492 4137 Pls
4508 4140 Pls
4523 4144 Pls
4539 4153 Pls
4554 4157 Pls
4570 4160 Pls
4586 4162 Pls
4601 4166 Pls
4633 4169 Pls
4648 4171 Pls
4664 4175 Pls
4680 4177 Pls
4711 4178 Pls
4726 4180 Pls
4742 4187 Pls
4773 4191 Pls
4820 4193 Pls
4851 4195 Pls
4898 4197 Pls
4930 4198 Pls
4945 4202 Pls
4961 4207 Pls
4977 4211 Pls
4992 4215 Pls
5008 4216 Pls
5023 4220 Pls
5117 4222 Pls
5133 4227 Pls
5149 4231 Pls
5164 4236 Pls
5195 4238 Pls
5227 4242 Pls
5242 4244 Pls
5258 4246 Pls
5274 4247 Pls
5289 4253 Pls
5320 4255 Pls
5383 4260 Pls
5399 4266 Pls
5414 4271 Pls
5477 4275 Pls
5524 4280 Pls
5539 4282 Pls
5555 4286 Pls
5571 4287 Pls
5586 4289 Pls
5602 4293 Pls
5633 4296 Pls
5664 4302 Pls
5680 4304 Pls
5696 4307 Pls
5711 4309 Pls
5743 4311 Pls
5758 4315 Pls
5774 4316 Pls
5805 4320 Pls
5836 4324 Pls
5899 4333 Pls
5993 4335 Pls
6024 4340 Pls
6071 4344 Pls
6087 4346 Pls
6102 4347 Pls
6118 4349 Pls
6133 4353 Pls
6149 4356 Pls
6165 4362 Pls
6180 4364 Pls
6212 4366 Pls
6227 4367 Pls
6243 4371 Pls
6258 4373 Pls
6274 4378 Pls
6290 4380 Pls
6337 4384 Pls
6368 4389 Pls
6399 4391 Pls
6415 4393 Pls
6430 4396 Pls
6509 4398 Pls
6524 4402 Pls
6602 4409 Pls
6618 4411 Pls
6634 4413 Pls
6649 4416 Pls
6665 4418 Pls
6681 4420 Pls
6696 4426 Pls
6712 4429 Pls
6727 4433 Pls
6743 4435 Pls
6759 4440 Pls
6774 4446 Pls
6790 4449 Pls
6806 4458 Pls
6821 4469 Pls
6837 4475 Pls
6853 4480 Pls
6868 4485 Pls
6884 4498 Pls
6899 4511 Pls
6915 4529 Pls
6931 4545 Pls
6946 4567 Pls
6962 4620 Pls
3076 4487 Pls
1.000 UP
1.000 UL
LT4
2793 4347 M
(Larger \(Longer\) Data Set) Rshow
695 604 Crs
697 711 Crs
699 779 Crs
700 866 Crs
702 944 Crs
704 1003 Crs
706 1051 Crs
708 1099 Crs
710 1136 Crs
711 1178 Crs
713 1207 Crs
715 1232 Crs
717 1265 Crs
719 1296 Crs
721 1332 Crs
723 1373 Crs
724 1404 Crs
726 1430 Crs
728 1460 Crs
730 1482 Crs
732 1503 Crs
734 1514 Crs
735 1538 Crs
737 1555 Crs
739 1581 Crs
741 1594 Crs
743 1610 Crs
745 1625 Crs
746 1634 Crs
748 1647 Crs
750 1657 Crs
752 1669 Crs
754 1688 Crs
756 1705 Crs
758 1721 Crs
759 1736 Crs
761 1752 Crs
763 1765 Crs
765 1785 Crs
767 1797 Crs
769 1810 Crs
770 1823 Crs
772 1832 Crs
774 1840 Crs
776 1856 Crs
778 1864 Crs
780 1878 Crs
782 1897 Crs
783 1907 Crs
785 1921 Crs
787 1931 Crs
789 1942 Crs
791 1953 Crs
793 1970 Crs
794 1980 Crs
796 1985 Crs
798 2005 Crs
800 2020 Crs
802 2028 Crs
804 2043 Crs
805 2054 Crs
807 2063 Crs
809 2079 Crs
811 2088 Crs
813 2104 Crs
815 2117 Crs
817 2127 Crs
818 2137 Crs
820 2148 Crs
822 2152 Crs
824 2158 Crs
826 2171 Crs
828 2181 Crs
829 2191 Crs
831 2196 Crs
833 2206 Crs
835 2213 Crs
837 2219 Crs
839 2228 Crs
841 2238 Crs
842 2250 Crs
844 2261 Crs
846 2269 Crs
848 2279 Crs
850 2285 Crs
852 2290 Crs
853 2296 Crs
855 2309 Crs
857 2315 Crs
859 2322 Crs
861 2330 Crs
863 2349 Crs
864 2352 Crs
866 2356 Crs
868 2362 Crs
870 2370 Crs
872 2384 Crs
874 2394 Crs
876 2398 Crs
877 2401 Crs
879 2407 Crs
881 2410 Crs
883 2421 Crs
885 2427 Crs
887 2436 Crs
888 2442 Crs
890 2452 Crs
892 2459 Crs
894 2467 Crs
896 2481 Crs
898 2487 Crs
900 2490 Crs
901 2497 Crs
903 2503 Crs
905 2507 Crs
907 2513 Crs
909 2520 Crs
911 2526 Crs
912 2529 Crs
914 2538 Crs
916 2544 Crs
918 2551 Crs
920 2554 Crs
922 2560 Crs
923 2570 Crs
925 2574 Crs
927 2580 Crs
929 2593 Crs
931 2602 Crs
933 2606 Crs
935 2612 Crs
936 2617 Crs
938 2625 Crs
940 2633 Crs
942 2640 Crs
944 2649 Crs
946 2654 Crs
947 2665 Crs
949 2669 Crs
951 2673 Crs
953 2676 Crs
955 2681 Crs
957 2683 Crs
959 2692 Crs
960 2698 Crs
962 2707 Crs
964 2718 Crs
966 2730 Crs
968 2733 Crs
970 2737 Crs
973 2740 Crs
975 2746 Crs
977 2753 Crs
979 2758 Crs
981 2766 Crs
982 2771 Crs
984 2774 Crs
988 2782 Crs
990 2791 Crs
992 2801 Crs
994 2809 Crs
995 2815 Crs
997 2820 Crs
999 2828 Crs
1001 2831 Crs
1003 2838 Crs
1005 2839 Crs
1006 2848 Crs
1008 2849 Crs
1010 2852 Crs
1012 2860 Crs
1014 2868 Crs
1016 2874 Crs
1018 2876 Crs
1019 2880 Crs
1021 2882 Crs
1023 2883 Crs
1025 2887 Crs
1027 2890 Crs
1029 2896 Crs
1030 2902 Crs
1032 2905 Crs
1034 2909 Crs
1036 2914 Crs
1038 2916 Crs
1040 2918 Crs
1041 2925 Crs
1043 2927 Crs
1045 2932 Crs
1047 2940 Crs
1049 2944 Crs
1051 2948 Crs
1053 2957 Crs
1054 2960 Crs
1056 2966 Crs
1058 2972 Crs
1060 2975 Crs
1062 2979 Crs
1064 2983 Crs
1067 2994 Crs
1071 2999 Crs
1073 3004 Crs
1075 3008 Crs
1077 3014 Crs
1078 3017 Crs
1080 3026 Crs
1082 3030 Crs
1084 3036 Crs
1086 3040 Crs
1088 3043 Crs
1089 3045 Crs
1091 3049 Crs
1093 3050 Crs
1095 3055 Crs
1097 3056 Crs
1100 3061 Crs
1102 3065 Crs
1104 3071 Crs
1106 3074 Crs
1108 3078 Crs
1110 3080 Crs
1112 3082 Crs
1113 3088 Crs
1115 3093 Crs
1117 3097 Crs
1119 3100 Crs
1121 3104 Crs
1123 3109 Crs
1124 3110 Crs
1126 3114 Crs
1128 3119 Crs
1130 3122 Crs
1134 3128 Crs
1136 3130 Crs
1137 3136 Crs
1139 3141 Crs
1141 3148 Crs
1145 3151 Crs
1148 3152 Crs
1150 3154 Crs
1152 3158 Crs
1154 3163 Crs
1158 3167 Crs
1159 3170 Crs
1161 3171 Crs
1163 3176 Crs
1165 3177 Crs
1167 3183 Crs
1171 3190 Crs
1172 3195 Crs
1174 3202 Crs
1176 3203 Crs
1178 3205 Crs
1180 3206 Crs
1183 3211 Crs
1185 3212 Crs
1187 3213 Crs
1189 3215 Crs
1191 3216 Crs
1193 3222 Crs
1195 3225 Crs
1196 3227 Crs
1198 3229 Crs
1200 3232 Crs
1202 3235 Crs
1204 3240 Crs
1206 3246 Crs
1207 3248 Crs
1209 3251 Crs
1211 3253 Crs
1213 3254 Crs
1215 3257 Crs
1217 3259 Crs
1218 3266 Crs
1220 3267 Crs
1222 3270 Crs
1224 3273 Crs
1226 3275 Crs
1228 3276 Crs
1230 3279 Crs
1231 3280 Crs
1233 3285 Crs
1235 3286 Crs
1237 3289 Crs
1241 3291 Crs
1242 3295 Crs
1244 3298 Crs
1246 3299 Crs
1250 3301 Crs
1252 3302 Crs
1254 3304 Crs
1255 3307 Crs
1259 3308 Crs
1261 3310 Crs
1263 3311 Crs
1265 3317 Crs
1266 3318 Crs
1268 3323 Crs
1270 3329 Crs
1272 3330 Crs
1274 3333 Crs
1276 3339 Crs
1277 3340 Crs
1279 3342 Crs
1281 3346 Crs
1283 3349 Crs
1285 3350 Crs
1289 3359 Crs
1290 3361 Crs
1292 3363 Crs
1294 3365 Crs
1298 3366 Crs
1300 3369 Crs
1301 3374 Crs
1303 3377 Crs
1305 3379 Crs
1307 3385 Crs
1309 3391 Crs
1313 3393 Crs
1314 3395 Crs
1316 3397 Crs
1318 3398 Crs
1320 3401 Crs
1322 3407 Crs
1327 3409 Crs
1329 3412 Crs
1331 3413 Crs
1335 3420 Crs
1336 3423 Crs
1338 3426 Crs
1342 3432 Crs
1344 3436 Crs
1346 3439 Crs
1348 3441 Crs
1349 3445 Crs
1351 3448 Crs
1353 3455 Crs
1355 3457 Crs
1357 3460 Crs
1359 3461 Crs
1362 3467 Crs
1364 3471 Crs
1366 3476 Crs
1368 3480 Crs
1370 3487 Crs
1372 3489 Crs
1373 3492 Crs
1375 3493 Crs
1379 3494 Crs
1381 3497 Crs
1383 3499 Crs
1386 3500 Crs
1388 3502 Crs
1390 3503 Crs
1392 3508 Crs
1394 3509 Crs
1395 3513 Crs
1397 3515 Crs
1399 3518 Crs
1405 3519 Crs
1408 3522 Crs
1410 3525 Crs
1412 3532 Crs
1414 3534 Crs
1419 3540 Crs
1421 3543 Crs
1423 3544 Crs
1427 3547 Crs
1429 3548 Crs
1431 3551 Crs
1432 3553 Crs
1434 3554 Crs
1436 3560 Crs
1442 3564 Crs
1443 3567 Crs
1445 3572 Crs
1447 3576 Crs
1449 3577 Crs
1451 3580 Crs
1453 3583 Crs
1454 3586 Crs
1456 3589 Crs
1458 3592 Crs
1466 3594 Crs
1471 3595 Crs
1473 3599 Crs
1478 3602 Crs
1482 3604 Crs
1484 3605 Crs
1486 3607 Crs
1488 3608 Crs
1490 3611 Crs
1491 3614 Crs
1493 3615 Crs
1495 3617 Crs
1497 3618 Crs
1499 3620 Crs
1501 3623 Crs
1510 3624 Crs
1512 3626 Crs
1514 3628 Crs
1515 3633 Crs
1519 3636 Crs
1521 3637 Crs
1523 3642 Crs
1526 3644 Crs
1528 3646 Crs
1530 3649 Crs
1539 3650 Crs
1543 3652 Crs
1547 3655 Crs
1549 3659 Crs
1552 3662 Crs
1554 3663 Crs
1558 3665 Crs
1560 3666 Crs
1561 3668 Crs
1565 3671 Crs
1567 3674 Crs
1569 3675 Crs
1571 3676 Crs
1573 3679 Crs
1574 3682 Crs
1578 3684 Crs
1582 3687 Crs
1584 3691 Crs
1587 3693 Crs
1589 3694 Crs
1591 3695 Crs
1598 3697 Crs
1600 3698 Crs
1602 3701 Crs
1606 3704 Crs
1608 3706 Crs
1611 3711 Crs
1613 3714 Crs
1615 3716 Crs
1617 3717 Crs
1619 3719 Crs
1624 3720 Crs
1626 3723 Crs
1628 3725 Crs
1630 3727 Crs
1637 3730 Crs
1641 3735 Crs
1643 3738 Crs
1646 3741 Crs
1648 3742 Crs
1654 3743 Crs
1655 3745 Crs
1659 3746 Crs
1661 3748 Crs
1663 3749 Crs
1665 3751 Crs
1667 3752 Crs
1668 3754 Crs
1672 3757 Crs
1676 3758 Crs
1679 3761 Crs
1681 3762 Crs
1685 3764 Crs
1687 3767 Crs
1691 3768 Crs
1692 3771 Crs
1696 3774 Crs
1698 3776 Crs
1700 3778 Crs
1703 3783 Crs
1705 3784 Crs
1707 3787 Crs
1709 3792 Crs
1720 3793 Crs
1726 3794 Crs
1727 3797 Crs
1731 3799 Crs
1735 3802 Crs
1737 3805 Crs
1742 3806 Crs
1746 3808 Crs
1750 3809 Crs
1751 3810 Crs
1759 3815 Crs
1762 3816 Crs
1764 3821 Crs
1766 3822 Crs
1772 3825 Crs
1775 3829 Crs
1785 3832 Crs
1796 3834 Crs
1797 3835 Crs
1801 3837 Crs
1803 3838 Crs
1805 3840 Crs
1809 3841 Crs
1823 3842 Crs
1825 3845 Crs
1827 3848 Crs
1831 3850 Crs
1844 3854 Crs
1845 3858 Crs
1847 3860 Crs
1849 3863 Crs
1851 3864 Crs
1855 3867 Crs
1862 3869 Crs
1864 3870 Crs
1868 3872 Crs
1869 3876 Crs
1879 3877 Crs
1880 3879 Crs
1882 3880 Crs
1884 3883 Crs
1886 3886 Crs
1891 3888 Crs
1895 3891 Crs
1899 3892 Crs
1901 3893 Crs
1903 3895 Crs
1906 3896 Crs
1917 3898 Crs
1919 3899 Crs
1925 3901 Crs
1928 3902 Crs
1938 3905 Crs
1945 3908 Crs
1947 3909 Crs
1952 3911 Crs
1954 3914 Crs
1956 3915 Crs
1958 3918 Crs
1962 3920 Crs
1965 3921 Crs
1971 3923 Crs
1974 3925 Crs
1976 3928 Crs
1984 3931 Crs
1986 3933 Crs
1987 3934 Crs
1989 3937 Crs
1991 3939 Crs
1995 3940 Crs
2011 3941 Crs
2013 3943 Crs
2019 3946 Crs
2021 3947 Crs
2022 3950 Crs
2030 3953 Crs
2032 3955 Crs
2033 3956 Crs
2041 3958 Crs
2045 3959 Crs
2050 3960 Crs
2054 3962 Crs
2056 3963 Crs
2057 3965 Crs
2061 3968 Crs
2070 3969 Crs
2074 3974 Crs
2081 3975 Crs
2083 3976 Crs
2087 3978 Crs
2089 3981 Crs
2092 3982 Crs
2094 3984 Crs
2100 3985 Crs
2104 3987 Crs
2107 3988 Crs
2116 3990 Crs
2118 3991 Crs
2120 3992 Crs
2129 3994 Crs
2131 3995 Crs
2140 3997 Crs
2150 4000 Crs
2155 4001 Crs
2157 4003 Crs
2159 4006 Crs
2161 4007 Crs
2163 4008 Crs
2168 4011 Crs
2170 4013 Crs
2183 4014 Crs
2186 4019 Crs
2188 4020 Crs
2190 4022 Crs
2192 4023 Crs
2198 4024 Crs
2201 4026 Crs
2214 4029 Crs
2218 4030 Crs
2222 4032 Crs
2223 4033 Crs
2225 4035 Crs
2233 4036 Crs
2234 4038 Crs
2236 4039 Crs
2251 4041 Crs
2258 4042 Crs
2264 4043 Crs
2271 4045 Crs
2281 4046 Crs
2288 4048 Crs
2290 4049 Crs
2292 4051 Crs
2297 4052 Crs
2305 4054 Crs
2310 4055 Crs
2317 4057 Crs
2323 4058 Crs
2341 4061 Crs
2349 4062 Crs
2351 4064 Crs
2354 4065 Crs
2358 4067 Crs
2362 4068 Crs
2369 4071 Crs
2371 4073 Crs
2375 4074 Crs
2382 4075 Crs
2387 4078 Crs
2397 4081 Crs
2406 4083 Crs
2408 4086 Crs
2417 4087 Crs
2419 4089 Crs
2434 4090 Crs
2435 4091 Crs
2437 4093 Crs
2446 4094 Crs
2450 4096 Crs
2454 4097 Crs
2458 4100 Crs
2463 4102 Crs
2478 4103 Crs
2482 4105 Crs
2485 4106 Crs
2487 4107 Crs
2494 4109 Crs
2515 4112 Crs
2526 4113 Crs
2537 4115 Crs
2541 4116 Crs
2561 4118 Crs
2564 4119 Crs
2577 4121 Crs
2585 4122 Crs
2587 4123 Crs
2603 4125 Crs
2605 4128 Crs
2607 4131 Crs
2618 4132 Crs
2627 4134 Crs
2629 4135 Crs
2633 4137 Crs
2635 4140 Crs
2636 4141 Crs
2646 4142 Crs
2647 4144 Crs
2649 4145 Crs
2662 4151 Crs
2668 4153 Crs
2670 4154 Crs
2686 4157 Crs
2688 4158 Crs
2692 4160 Crs
2694 4161 Crs
2703 4164 Crs
2705 4166 Crs
2714 4167 Crs
2741 4169 Crs
2762 4170 Crs
2771 4172 Crs
2780 4173 Crs
2799 4174 Crs
2800 4176 Crs
2806 4177 Crs
2813 4179 Crs
2815 4180 Crs
2819 4182 Crs
2828 4183 Crs
2841 4185 Crs
2858 4186 Crs
2863 4188 Crs
2885 4190 Crs
2887 4193 Crs
2896 4195 Crs
2904 4196 Crs
2911 4198 Crs
2917 4201 Crs
2924 4202 Crs
2933 4204 Crs
2948 4205 Crs
2950 4206 Crs
2961 4209 Crs
2966 4211 Crs
2981 4214 Crs
2989 4217 Crs
2994 4218 Crs
2998 4220 Crs
3005 4221 Crs
3009 4223 Crs
3018 4224 Crs
3020 4225 Crs
3027 4227 Crs
3042 4228 Crs
3044 4230 Crs
3048 4231 Crs
3062 4233 Crs
3066 4234 Crs
3083 4236 Crs
3086 4237 Crs
3088 4239 Crs
3107 4240 Crs
3110 4241 Crs
3114 4243 Crs
3121 4244 Crs
3123 4246 Crs
3131 4247 Crs
3134 4249 Crs
3140 4250 Crs
3162 4252 Crs
3164 4253 Crs
3166 4255 Crs
3178 4256 Crs
3184 4257 Crs
3199 4259 Crs
3202 4262 Crs
3234 4263 Crs
3237 4266 Crs
3247 4268 Crs
3254 4269 Crs
3256 4272 Crs
3263 4275 Crs
3265 4276 Crs
3269 4278 Crs
3273 4279 Crs
3278 4281 Crs
3293 4284 Crs
3304 4285 Crs
3311 4287 Crs
3313 4288 Crs
3317 4289 Crs
3322 4291 Crs
3333 4292 Crs
3335 4295 Crs
3341 4297 Crs
3344 4298 Crs
3365 4300 Crs
3394 4301 Crs
3402 4303 Crs
3403 4305 Crs
3409 4307 Crs
3414 4308 Crs
3422 4310 Crs
3440 4313 Crs
3450 4314 Crs
3468 4316 Crs
3475 4317 Crs
3485 4319 Crs
3490 4320 Crs
3499 4322 Crs
3501 4323 Crs
3531 4324 Crs
3532 4327 Crs
3547 4329 Crs
3556 4330 Crs
3558 4332 Crs
3560 4333 Crs
3571 4335 Crs
3612 4336 Crs
3627 4338 Crs
3630 4339 Crs
3636 4340 Crs
3643 4342 Crs
3649 4343 Crs
3660 4346 Crs
3673 4348 Crs
3698 4349 Crs
3704 4351 Crs
3713 4352 Crs
3745 4354 Crs
3750 4356 Crs
3752 4358 Crs
3756 4359 Crs
3765 4361 Crs
3776 4362 Crs
3781 4364 Crs
3802 4365 Crs
3815 4367 Crs
3818 4368 Crs
3820 4370 Crs
3837 4371 Crs
3872 4372 Crs
3879 4374 Crs
3892 4375 Crs
3894 4377 Crs
3899 4378 Crs
3920 4380 Crs
3968 4381 Crs
3971 4383 Crs
3992 4384 Crs
4008 4386 Crs
4014 4387 Crs
4019 4388 Crs
4021 4390 Crs
4027 4391 Crs
4032 4394 Crs
4045 4396 Crs
4080 4397 Crs
4132 4399 Crs
4148 4400 Crs
4158 4402 Crs
4170 4403 Crs
4172 4405 Crs
4182 4406 Crs
4187 4407 Crs
4218 4409 Crs
4224 4410 Crs
4235 4412 Crs
4255 4413 Crs
4281 4415 Crs
4285 4416 Crs
4296 4418 Crs
4303 4419 Crs
4322 4421 Crs
4323 4422 Crs
4329 4423 Crs
4335 4425 Crs
4371 4426 Crs
4394 4428 Crs
4465 4429 Crs
4539 4431 Crs
4545 4432 Crs
4576 4434 Crs
4591 4435 Crs
4598 4437 Crs
4600 4439 Crs
4679 4441 Crs
4696 4444 Crs
4705 4447 Crs
4713 4448 Crs
4737 4450 Crs
4740 4451 Crs
4760 4453 Crs
4770 4454 Crs
4772 4455 Crs
4779 4457 Crs
4792 4458 Crs
4843 4460 Crs
4849 4461 Crs
4853 4463 Crs
4871 4464 Crs
4873 4466 Crs
4895 4467 Crs
4906 4469 Crs
4921 4470 Crs
4923 4471 Crs
4941 4473 Crs
4954 4474 Crs
4961 4476 Crs
5068 4477 Crs
5137 4479 Crs
5212 4480 Crs
5231 4482 Crs
5279 4483 Crs
5303 4485 Crs
5304 4488 Crs
5338 4489 Crs
5345 4492 Crs
5347 4493 Crs
5350 4495 Crs
5380 4496 Crs
5387 4498 Crs
5437 4499 Crs
5446 4501 Crs
5511 4502 Crs
5513 4504 Crs
5568 4505 Crs
5581 4506 Crs
5585 4508 Crs
5609 4509 Crs
5614 4511 Crs
5636 4512 Crs
5638 4514 Crs
5660 4515 Crs
5675 4517 Crs
5716 4520 Crs
5780 4521 Crs
5784 4522 Crs
5800 4524 Crs
5846 4525 Crs
5867 4527 Crs
5882 4528 Crs
5889 4530 Crs
5909 4531 Crs
6082 4533 Crs
6101 4534 Crs
6103 4536 Crs
6154 4537 Crs
6160 4538 Crs
6162 4540 Crs
6213 4541 Crs
6224 4543 Crs
6236 4544 Crs
6260 4546 Crs
6276 4547 Crs
6278 4549 Crs
6335 4550 Crs
6339 4552 Crs
6368 4553 Crs
6396 4554 Crs
6414 4556 Crs
6435 4557 Crs
6438 4559 Crs
6440 4560 Crs
6451 4562 Crs
6494 4563 Crs
6567 4565 Crs
6680 4566 Crs
6687 4568 Crs
6706 4569 Crs
6757 4570 Crs
6759 4572 Crs
6805 4573 Crs
6837 4575 Crs
6848 4576 Crs
6877 4578 Crs
6879 4581 Crs
6914 4582 Crs
6918 4584 Crs
6923 4585 Crs
6929 4587 Crs
6947 4588 Crs
6956 4591 Crs
6958 4595 Crs
6960 4608 Crs
6962 4620 Crs
3076 4347 Crs
stroke
grestore
end
showpage
%%Trailer
%%DocumentFonts: Helvetica
%%EndDocument
@endspecial 174 x Fe(Figure)j(9.)g Fg(No)r(de)c(a)n(v)l(ailabilit)n(y)
i(CDF)f(for)h(a)f(short)g(p)r(erio)r(d)h(of)f(time)1977
3379 y(vs.)35 b(long)26 b(p)r(erio)r(d)g(of)h(time.)1977
3626 y Fh(While)d(video)f(\014les)g(only)g(accoun)n(t)h(for)g(ab)r(out)
h(3\045)f(of)h(the)g(\014les)1977 3726 y(in)32 b(the)g(net)n(w)n(ork,)g
(their)f(larger)e(size)i(means)f(that)i(they)h(still)1977
3825 y(o)r(ccup)n(y)h(appro)n(ximately)c(20\045)k(of)g(the)h(total)f(b)
n(ytes)g(shared.)1977 3925 y(W)-7 b(e)24 b(exp)r(ect)g(this)f(will)e(c)
n(hange)i(in)g(the)h(future.)36 b(W)-7 b(e)24 b(also)d(mea-)1977
4025 y(sured)40 b(no)r(de)h(a)n(v)-5 b(ailabilit)n(y)34
b(in)40 b(the)h(Gn)n(utella)d(net)n(w)n(ork)h(and)1977
4124 y(found)k(that)f(a)n(v)-5 b(ailabilit)n(y)36 b(is)41
b(in\015uenced)h(strongly)e(b)n(y)h(the)1977 4224 y(time)35
b(of)h(da)n(y)-7 b(.)61 b(Finally)-7 b(,)35 b(w)n(e)h(observ)n(ed)e
(that)i(the)h(length)e(of)1977 4324 y(time)26 b(no)r(des)h(remain)e(a)n
(v)-5 b(ailable)23 b(con)n(tin)n(uously)h(also)h(\014ts)i(w)n(ell)1977
4423 y(to)c(a)f(log-quadratic)d(curv)n(e:)33 b(no)r(des)23
b(tend)g(to)g(b)r(e)g(a)n(v)-5 b(ailable)18 b(for)1977
4523 y(only)27 b(short)f(lengths)h(of)g(time.)2060 4661
y(These)36 b(t)n(w)n(o)f(main)e(results)h(|)i(the)g(sk)n(ew)n(ed)f
(distribution)1977 4760 y(of)e(\014le)f(p)r(opularit)n(y)e(and)j(lo)n
(w)e(p)r(eer)h(a)n(v)-5 b(ailabilit)n(y)27 b(|)33 b(suggest)1977
4860 y(strongly)20 b(that)j(cac)n(hing)d(the)j(most)e(p)r(opular)g
(\014les)g(on)h(the)h(sys-)1977 4959 y(tem)35 b(w)n(ould)g(greatly)e
(impro)n(v)n(e)f(system)j(p)r(erformance.)58 b(W)-7 b(e)1977
5059 y(imagine)30 b(P2P)h(cac)n(hes)h(could)f(b)r(e)i(deplo)n(y)n(ed)e
(as)h(w)n(eb)h(cac)n(hes)1977 5159 y(are)38 b(deplo)n(y)n(ed)e(to)r(da)
n(y)-7 b(.)68 b(Suc)n(h)38 b(cac)n(hes)f(w)n(ould)g(impro)n(v)n(e)d
(the)1977 5258 y(do)n(wnload)22 b(times)g(of)i(users)f(b)n(y)g(remo)n
(ving)e(the)j(need)g(to)g(guess)1915 5507 y(9)p eop
%%Page: 10 10
10 9 bop -72 144 a Fh(whic)n(h)20 b(p)r(eer)h(out)g(of)g(man)n(y)f
(o\013ers)g(the)i(b)r(est)f(do)n(wnload)e(sp)r(eed,)-72
244 y(if)39 b(an)n(y)g(are)g(go)r(o)r(d.)72 b(Automated)39
b(p)r(eer-selection)e(metho)r(ds)-72 344 y(ha)n(v)n(e)19
b(not)h(b)r(een)g(deplo)n(y)n(ed)e(or)h(widely)f(researc)n(hed.)33
b(Secondly)-7 b(,)-72 443 y(a)19 b(cac)n(he)g(w)n(ould)g(mitigate)e
(the)j(a\013ects)g(of)f(the)i(lo)n(w)d(no)r(de)i(a)n(v)-5
b(ail-)-72 543 y(abilit)n(y)29 b(that)j(w)n(e)g(ha)n(v)n(e)f(observ)n
(ed.)49 b(The)32 b(async)n(hronous)e(on-)-72 643 y(line)38
b(times)g(and)i(lo)n(w)e(a)n(v)-5 b(ailabilit)n(y)34
b(of)40 b(users)f(damp)r(ers)f(the)-72 742 y(gains)26
b(of)h(widely)f(shared)g(p)r(opular)g(\014les.)324 986
y Fj(A)m(CKNO)m(WLEDGMENTS)-72 1143 y Fh(This)d(w)n(ork)f(b)r
(ene\014ted)j(greatly)c(from)i(the)h(e\013orts)f(of)h(Vincen)n(t)-72
1243 y(Scarlata)30 b(\(Georgia)g(T)-7 b(ec)n(h\))32 b(and)h(Ry)n(an)f
(O'Bo)n(yle)e(\(Fidelit)n(y\))-72 1342 y(while)38 b(they)i(w)n(ere)e
(undergraduates)g(at)i(UMass.)72 b(Vincen)n(t)-72 1442
y(and)24 b(Ry)n(an)g(w)n(ere)g(part)g(of)h(our)e(team)h(when)h(w)n(e)f
(collected)e(the)-72 1542 y(Napster)32 b(data)g(presen)n(ted)g(in)g
(this)g(pap)r(er.)51 b(W)-7 b(e)33 b(also)e(thank)-72
1641 y(Ariy)n(eh)i(Maller)f(\(UMass)i(Amherst\))h(for)f(stim)n(ulating)
c(con-)-72 1741 y(v)n(ersations,)19 b(and)i(Kathryn)e(McKinley)g(\(UT)i
(Austin\))g(for)f(her)-72 1840 y(early)25 b(encouragemen)n(t.)555
2084 y Fj(REFERENCES)-7 2229 y Fh(1.)41 b(M.)35 b(Rip)r(ean)n(u,)h(I.)f
(F)-7 b(oster,)37 b(and)e(A.)g(Iamnitc)n(hi,)f(\\Map-)99
2329 y(ping)k(the)h(Gn)n(utella)f(net)n(w)n(ork:)58 b(Prop)r(erties)37
b(of)i(large-)99 2429 y(scale)45 b(p)r(eer-to-p)r(eer)g(systems)g(and)i
(implications)41 b(for)99 2528 y(system)32 b(design,")h
Fi(IEEE)j(Internet)e(Computing)i(Jour-)99 2628 y(nal)28
b Fd(6)p Fh(\(1\),)f(2002.)-7 2745 y(2.)41 b(E.)20 b(P)-7
b(.)20 b(Mark)-5 b(atos,)21 b(\\T)-7 b(racing)18 b(a)i(large-scale)c(p)
r(eer)21 b(to)g(p)r(eer)99 2845 y(system:)62 b(an)40
b(hour)g(in)g(the)i(life)d(of)i(Gn)n(utella,")g(in)f
Fi(in)99 2944 y(Pr)l(o)l(c.)k(CCGrid)i(2002:)68 b(the)44
b(se)l(c)l(ond)g(IEEE)h(Interna-)99 3044 y(tional)34
b(Symp)l(osium)f(on)h(Cluster)f(Computing)g(and)h(the)99
3144 y(Grid)p Fh(,)29 b(Ma)n(y)d(2002.)-7 3261 y(3.)41
b(S.)h(Saroiu,)h(P)-7 b(.)42 b(K.)g(Gummadi,)h(and)f(S.)g(D.)g
(Gribble,)99 3360 y(\\A)22 b(measuremen)n(t)e(study)j(of)g(p)r
(eer-to-p)r(eer)f(\014le)g(sharing)99 3460 y(systems,")f(in)h
Fi(Multime)l(dia)27 b(Computing)f(and)f(Network-)99 3559
y(ing)30 b(\(MMCN\))p Fh(,)e(Jan)n(uary)e(2002.)-7 3677
y(4.)41 b(E.)58 b(Adar)g(and)g(B.)g(Hub)r(erman,)65 b(\\F)-7
b(ree)58 b(riding)e(on)99 3776 y(Gn)n(utella,")25 b Fi(First)30
b(Monday)f Fd(5)p Fh(,)f(Octob)r(er)e(2000.)-7 3893 y(5.)41
b(D.)34 b(R.)g(Figueiredo,)e(S.)i(Jaisw)n(al,)e(Z.)i(Ge,)h(D.)f(T)-7
b(o)n(wsley)g(,)99 3993 y(and)38 b(J.)g(Kurose,)i(\\Mo)r(deling)c(p)r
(eer-p)r(eer)h(\014le)h(sharing)99 4093 y(systems.")19
b(UMass)h(T)-7 b(ec)n(hnical)19 b(Rep)r(ort,)j(Jan)n(uary)d(2002.)-7
4210 y(6.)41 b(\\Napster)221 b(proto)r(col)g(op)r(en)i(sp)r(eci\014ca-)
99 4309 y(tion,")163 b(April)135 b(2000.)361 b(Av)-5
b(ailable)134 b(at)99 4409 y(h)n(ttp://op)r
(ennap.sourceforge.net/napster.txt.)-7 4526 y(7.)41 b(\\The)264
b(Gn)n(utella)g(proto)r(col)f(sp)r(eci-)99 4626 y(\014cation)189
b(v0.4.")520 b(Av)-5 b(ailable)188 b(at)99 4725 y(h)n
(ttp://www.clip2.com/Gn)n(utell)o(aP)o(ro)o(to)r(col)o(04)o(.p)r(df.)-7
4842 y(8.)41 b(K.)k(McCrary)-7 b(,)49 b(\\JTella)43 b(API)j(v0.7.")90
b(Av)-5 b(ailable)43 b(at)99 4942 y(h)n(ttp://www.k)n(enmccrary)-7
b(.com/jtell)o(a/)o(.)-7 5059 y(9.)41 b(Y.)30 b(Rekh)n(ter)f
Fi(et)i(al.)p Fh(,)g(\\Address)e(allo)r(cation)d(for)j(priv)-5
b(ate)99 5159 y(in)n(ternets.")25 b(IETF)i(RF)n(C)g(1918,)f(F)-7
b(eb.)27 b(1996.)35 b(Av)-5 b(ailable)99 5258 y(at)27
b(h)n(ttp://www.ietf.org/rfc/rfc1918.txt.)p 1939 251
2043 4 v 1937 342 4 92 v 1989 314 a Fg(Rank)p 2353 342
V 236 w(Filename)p 3712 342 V 1054 w(Ext)p 3980 342 V
1939 345 2043 4 v 1937 437 4 92 v 1989 409 a(0)f(\(2171\))p
2353 437 V 139 w(divider)p 3712 437 V 1127 w(GIF)p 3980
437 V 1937 528 V 1989 500 a(1)g(\(2168\))p 2353 528 V
139 w(cm)p 3712 528 V 1261 w(SMI)p 3980 528 V 1937 619
V 1989 592 a(2)g(\(2168\))p 2353 619 V 139 w(upsell)p
3712 619 V 1168 w(GIF)p 3980 619 V 1937 710 V 1989 683
a(3)g(\(1893\))p 2353 710 V 139 w(in)g(the)f(end)g(-)g(linkin)h(park)p
3712 710 V 574 w(MP3)p 3980 710 V 1937 802 V 1989 774
a(4)g(\(1685\))p 2353 802 V 139 w(Shakira-whenev)n(er,whereev)n(er)p
3712 802 V 414 w(MP3)p 3980 802 V 1937 893 V 1989 866
a(5)g(\(1549\))p 2353 893 V 139 w(A-Nic)n(klebac)n(k)76
b(Ho)n(w)26 b(Y)-6 b(ou)25 b(Remind)f(Me)p 3712 893 V
115 w(MP3)p 3980 893 V 1937 984 V 1989 957 a(6)i(\(1505\))p
2353 984 V 139 w(creed)g(-)f(-m)n(y)f(sacra\014ce)p 3712
984 V 673 w(MP3)p 3980 984 V 1937 1076 V 1989 1048 a(7)i(\(1482\))p
2353 1076 V 139 w(Alein)g(an)n(t)f(farm)h(-)f(Smo)r(oth)g(Criminal)p
3712 1076 V 212 w(MP3)p 3980 1076 V 1937 1167 V 1989
1140 a(8)h(\(1471\))p 2353 1167 V 139 w(hey)f(bab)n(y)g(-)g(no)h(doubt)
p 3712 1167 V 674 w(MP3)p 3980 1167 V 1937 1258 V 1989
1231 a(9)g(\(1362\))p 2353 1258 V 139 w(It's)g(Been)g(Awhile)g(-)f
(Staind)p 3712 1258 V 507 w(MP3)p 3980 1258 V 1937 1350
V 1989 1322 a(10)h(\(1331\))p 2353 1350 V 101 w(-ja)n(y-z)g(-)f(h)g(to)
h(the)f(izo)p 3712 1350 V 710 w(MP3)p 3980 1350 V 1937
1441 V 1989 1414 a(11)h(\(1307\))p 2353 1441 V 101 w(RA)p
3712 1441 V 1245 w(MP3)p 3980 1441 V 1937 1532 V 1989
1505 a(12)g(\(1299\))p 2353 1532 V 101 w(Angel)g(Shaggy)p
3712 1532 V 899 w(MP3)p 3980 1532 V 1937 1624 V 1989
1596 a(13)g(\(1297\))p 2353 1624 V 101 w(readme)p 3712
1624 V 1116 w(TXT)p 3980 1624 V 1937 1715 V 1989 1688
a(14)g(\(1296\))p 2353 1715 V 101 w(p)r(o)r(d)g(-)f(aliv)n(e)p
3712 1715 V 1002 w(MP3)p 3980 1715 V 1937 1806 V 1989
1779 a(15)h(\(1252\))p 2353 1806 V 101 w(alecia)i(k)n(eys)d(-)g
(fallin')p 3712 1806 V 738 w(MP3)p 3980 1806 V 1937 1898
V 1989 1870 a(16)h(\(1250\))p 2353 1898 V 101 w(usher)g(-)f(y)n(ou)g
(got)h(it)g(bad)p 3712 1898 V 625 w(MP3)p 3980 1898 V
1937 1989 V 1989 1962 a(17)g(\(1245\))p 2353 1989 V 101
w(Shaggy)g(-)f(It)g(w)n(asen)n(t)i(me)p 3712 1989 V 607
w(MP3)p 3980 1989 V 1937 2080 V 1989 2053 a(18)f(\(1230\))p
2353 2080 V 101 w(Drops)g(of)g(Jupiter)g(-)f(T)-6 b(rain)p
3712 2080 V 549 w(MP3)p 3980 2080 V 1937 2172 V 1989
2144 a(19)26 b(\(1228\))p 2353 2172 V 101 w(The)g(Calling)i(-)d(Wherev)
n(er)g(Y)-6 b(ou)25 b(Will)h(Go)p 3712 2172 V 114 w(MP3)p
3980 2172 V 1937 2263 V 1989 2236 a(20)g(\(1228\))p 2353
2263 V 101 w(\(A\)R.)f(Kelly)h(-The)f(W)-6 b(orlds)26
b(Greatest)p 3712 2263 V 206 w(MP3)p 3980 2263 V 1937
2354 V 1989 2327 a(21)g(\(1211\))p 2353 2354 V 101 w(Cra)n(wling)i(-)d
(Linkin)g(P)n(ark)p 3712 2354 V 581 w(MP3)p 3980 2354
V 1937 2446 V 1989 2418 a(22)h(\(1198\))p 2353 2446 V
101 w(Creedd)g(-)f(With)h(Arms)e(Wide)i(Op)r(enn)p 3712
2446 V 210 w(MP3)p 3980 2446 V 1937 2537 V 1989 2510
a(23)g(\(1191\))p 2353 2537 V 101 w(Blige,)i(Mary)e(J)g(-)f(F)-6
b(amily)25 b(A\013air)p 3712 2537 V 375 w(MP3)p 3980
2537 V 1937 2628 V 1989 2601 a(24)h(\(1166\))p 2353 2628
V 101 w(Incubis)f(-)h(I)f(Wish)h(Y)-6 b(ou)25 b(W)-6
b(ere)25 b(Here)p 3712 2628 V 279 w(MP3)p 3980 2628 V
1937 2720 V 1989 2692 a(25)h(\(1161\))p 2353 2720 V 101
w(nic)n(k)n(elbac)n(k-this)f(is)h(ho)n(w)g(y)n(ou)f(remind)g(me)p
3712 2720 V 99 w(MP3)p 3980 2720 V 1937 2811 V 1989 2784
a(26)h(\(1152\))p 2353 2811 V 101 w(more)p 2576 2784
24 4 v 28 w(full)p 2712 2784 V 28 w(co)n(v)n(erage)p
3712 2811 4 92 v 746 w(GIF)p 3980 2811 V 1937 2902 V
1989 2875 a(27)g(\(1152\))p 2353 2902 V 101 w(topnews)p
3712 2902 V 1087 w(GIF)p 3980 2902 V 1937 2994 V 1989
2966 a(28)g(\(1145\))p 2353 2994 V 101 w(Setup)p 3712
2994 V 1167 w(EXE)p 3980 2994 V 1937 3085 V 1989 3058
a(29)g(\(1139\))p 2353 3085 V 101 w(usher)g(-)f(y)n(ou)g(remind)f(me)p
3712 3085 V 599 w(MP3)p 3980 3085 V 1937 3176 V 1989
3149 a(30)i(\(1126\))p 2353 3176 V 101 w(outk)l(ast)g(-)f(the)g(whole)i
(w)n(orld)p 3712 3176 V 502 w(MP3)p 3980 3176 V 1937
3268 V 1989 3240 a(31)f(\(1124\))p 2353 3268 V 101 w(Get)g(The)g(P)n
(art)n(y)g(Started)f(-)g(Pink)p 3712 3268 V 358 w(MP3)p
3980 3268 V 1937 3359 V 1989 3331 a(32)h(\(1102\))p 2353
3359 V 101 w(Coun)n(try)f(Grammer)g(-)g(Nelly)p 3712
3359 V 484 w(MP3)p 3980 3359 V 1937 3450 V 1989 3423
a(33)h(\(1098\))p 2353 3450 V 101 w(blurry)f(-)g(puddle)g(of)i(m)n(ud)p
3712 3450 V 587 w(MP3)p 3980 3450 V 1937 3542 V 1989
3514 a(34)f(\(1071\))p 2353 3542 V 101 w(driv)n(e)g(-)f(Incubis)p
3712 3542 V 874 w(MP3)p 3980 3542 V 1937 3633 V 1989
3605 a(35)h(\(1069\))p 2353 3633 V 101 w(craig)h(da)n(vid)e(-)g(feel)i
(me)e(in)p 3712 3633 V 585 w(MP3)p 3980 3633 V 1937 3724
V 1989 3697 a(36)h(\(1063\))p 2353 3724 V 101 w(con)n(trol)h(-)e
(Puddle)g(Of)h(Mud)p 3712 3724 V 524 w(MP3)p 3980 3724
V 1937 3816 V 1989 3788 a(37)g(\(1053\))p 2353 3816 V
101 w(Cread)h(-)e(Higher)p 3712 3816 V 858 w(MP3)p 3980
3816 V 1937 3907 V 1989 3879 a(38)h(\(1042\))p 2353 3907
V 101 w(get)g(this)g(part)n(y)f(started)h(-)f(pink)p
3712 3907 V 417 w(MP3)p 3980 3907 V 1937 3998 V 1989
3971 a(39)h(\(1028\))p 2353 3998 V 101 w(a-Lifehouse)h(-)e(Hanging)h(b)
n(y)f(a)h(Momen)n(t)p 3712 3998 V 150 w(MP3)p 3980 3998
V 1937 4089 V 1989 4062 a(40)g(\(1027\))p 2353 4089 V
101 w(\014v)n(e)f(for)i(\014gh)n(ting)e(-)g(sup)r(erman)p
3712 4089 V 443 w(MP3)p 3980 4089 V 1937 4181 V 1989
4153 a(41)h(\(1023\))p 2353 4181 V 101 w(enrique)f(eglasias)k(-)c(hero)
p 3712 4181 V 614 w(MP3)p 3980 4181 V 1937 4272 V 1989
4245 a(42)h(\(1020\))p 2353 4272 V 101 w(Eagels)i(-)d(Hotel)h
(California)p 3712 4272 V 533 w(MP3)p 3980 4272 V 1937
4363 V 1989 4336 a(43)g(\(1016\))p 2353 4363 V 101 w(All)g(or)g
(Nothing)g(-)f(O-T)-6 b(o)n(wn)p 3712 4363 V 523 w(MP3)p
3980 4363 V 1937 4455 V 1989 4427 a(44)26 b(\(1012\))p
2353 4455 V 101 w(lead)g(zepplin)g(-)f(Stairw)n(a)n(y)h(to)g(Hea)n(v)n
(en)p 3712 4455 V 226 w(MP3)p 3980 4455 V 1937 4546 V
1989 4519 a(45)g(\(994\))p 2353 4546 V 139 w(Last)g(Resort-P)n(oppa)g
(Roac)n(h)p 3712 4546 V 497 w(MP3)p 3980 4546 V 1937
4637 V 1989 4610 a(46)g(\(992\))p 2353 4637 V 139 w(Nelley-EI)p
3712 4637 V 1045 w(MP3)p 3980 4637 V 1937 4729 V 1989
4701 a(47)g(\(978\))p 2353 4729 V 139 w(Ludacris)g(-)g(Role)g(out)p
3712 4729 V 708 w(MP3)p 3980 4729 V 1937 4820 V 1989
4793 a(48)g(\(974\))p 2353 4820 V 139 w(c)n(hop)g(suey)f(-)g(System)f
(of)j(a)f(Do)n(wn)p 3712 4820 V 342 w(MP3)p 3980 4820
V 1937 4911 V 1989 4884 a(49)g(\(956\))p 2353 4911 V
139 w(Link)n(en)f(P)n(ark)h(-)f(One)g(Step)g(Closer)p
3712 4911 V 326 w(MP3)p 3980 4911 V 1939 4915 2043 4
v 2509 5058 a Fe(T)-7 b(able)28 b(4.)h Fg(T)-6 b(op)26
b(50)g(-)g(All)f(\014les)1894 5507 y Fh(10)p eop
%%Page: 11 11
11 10 bop -106 251 2036 4 v -108 342 4 92 v -57 314 a
Fg(Rank)p 307 342 V 237 w(Filename)p 1667 342 V 1053
w(Ext)p 1927 342 V -106 345 2036 4 v -108 437 4 92 v
-57 409 a(0)26 b(\(1893\))p 307 437 V 140 w(in)f(the)h(end)f(-)g
(linkin)g(park)p 1667 437 V 574 w(MP3)p 1927 437 V -108
528 V -57 500 a(1)h(\(1685\))p 307 528 V 140 w(Shakira-whenev)n
(er,whereev)n(er)p 1667 528 V 413 w(MP3)p 1927 528 V
-108 619 V -57 592 a(2)g(\(1549\))p 307 619 V 140 w(A-Nic)n(klebac)n(k)
75 b(Ho)n(w)26 b(Y)-6 b(ou)25 b(Remind)f(Me)p 1667 619
V 115 w(MP3)p 1927 619 V -108 710 V -57 683 a(3)i(\(1505\))p
307 710 V 140 w(creed)f(-)h(-m)n(y)d(sacra\014ce)p 1667
710 V 673 w(MP3)p 1927 710 V -108 802 V -57 774 a(4)j(\(1482\))p
307 802 V 140 w(Alein)f(an)n(t)h(farm)f(-)g(Smo)r(oth)g(Criminal)p
1667 802 V 212 w(MP3)p 1927 802 V -108 893 V -57 866
a(5)h(\(1471\))p 307 893 V 140 w(hey)f(bab)n(y)f(-)i(no)f(doubt)p
1667 893 V 674 w(MP3)p 1927 893 V -108 984 V -57 957
a(6)h(\(1362\))p 307 984 V 140 w(It's)f(Been)h(Awhile)h(-)e(Staind)p
1667 984 V 506 w(MP3)p 1927 984 V -108 1076 V -57 1048
a(7)h(\(1331\))p 307 1076 V 140 w(-ja)n(y-z)f(-)g(h)g(to)h(the)f(izo)p
1667 1076 V 710 w(MP3)p 1927 1076 V -108 1167 V -57 1140
a(8)h(\(1307\))p 307 1167 V 140 w(RA)p 1667 1167 V 1244
w(MP3)p 1927 1167 V -108 1258 V -57 1231 a(9)g(\(1299\))p
307 1258 V 140 w(Angel)f(Shaggy)p 1667 1258 V 899 w(MP3)p
1927 1258 V -108 1350 V -57 1322 a(10)i(\(1296\))p 307
1350 V 101 w(p)r(o)r(d)e(-)g(aliv)n(e)p 1667 1350 V 1002
w(MP3)p 1927 1350 V -108 1441 V -57 1414 a(11)i(\(1252\))p
307 1441 V 101 w(alecia)g(k)n(eys)e(-)g(fallin')p 1667
1441 V 738 w(MP3)p 1927 1441 V -108 1532 V -57 1505 a(12)i(\(1250\))p
307 1532 V 101 w(usher)e(-)g(y)n(ou)g(got)i(it)e(bad)p
1667 1532 V 625 w(MP3)p 1927 1532 V -108 1624 V -57 1596
a(13)i(\(1245\))p 307 1624 V 101 w(Shaggy)e(-)h(It)f(w)n(asen)n(t)h(me)
p 1667 1624 V 607 w(MP3)p 1927 1624 V -108 1715 V -57
1688 a(14)h(\(1230\))p 307 1715 V 101 w(Drops)e(of)i(Jupiter)f(-)f(T)-6
b(rain)p 1667 1715 V 548 w(MP3)p 1927 1715 V -108 1806
V -57 1779 a(15)27 b(\(1228\))p 307 1806 V 101 w(The)f(Calling)h(-)e
(Wherev)n(er)g(Y)-6 b(ou)25 b(Will)i(Go)p 1667 1806 V
113 w(MP3)p 1927 1806 V -108 1898 V -57 1870 a(16)g(\(1228\))p
307 1898 V 101 w(\(A\)R.)d(Kelly)i(-The)g(W)-6 b(orlds)25
b(Greatest)p 1667 1898 V 206 w(MP3)p 1927 1898 V -108
1989 V -57 1962 a(17)i(\(1211\))p 307 1989 V 101 w(Cra)n(wling)g(-)e
(Linkin)h(P)n(ark)p 1667 1989 V 580 w(MP3)p 1927 1989
V -108 2080 V -57 2053 a(18)h(\(1198\))p 307 2080 V 101
w(Creedd)e(-)h(With)f(Arms)f(Wide)i(Op)r(enn)p 1667 2080
V 210 w(MP3)p 1927 2080 V -108 2172 V -57 2144 a(19)h(\(1191\))p
307 2172 V 101 w(Blige,)g(Mary)f(J)g(-)f(F)-6 b(amily)25
b(A\013air)p 1667 2172 V 375 w(MP3)p 1927 2172 V -108
2263 V -57 2236 a(20)i(\(1166\))p 307 2263 V 101 w(Incubis)e(-)g(I)g
(Wish)h(Y)-6 b(ou)25 b(W)-6 b(ere)25 b(Here)p 1667 2263
V 279 w(MP3)p 1927 2263 V -108 2354 V -57 2327 a(21)i(\(1161\))p
307 2354 V 101 w(nic)n(k)n(elbac)n(k-this)d(is)j(ho)n(w)f(y)n(ou)f
(remind)f(me)p 1667 2354 V 99 w(MP3)p 1927 2354 V -108
2446 V -57 2418 a(22)j(\(1139\))p 307 2446 V 101 w(usher)e(-)g(y)n(ou)g
(remind)g(me)p 1667 2446 V 598 w(MP3)p 1927 2446 V -108
2537 V -57 2510 a(23)i(\(1126\))p 307 2537 V 101 w(outk)l(ast)e(-)g
(the)g(whole)i(w)n(orld)p 1667 2537 V 502 w(MP3)p 1927
2537 V -108 2628 V -57 2601 a(24)g(\(1124\))p 307 2628
V 101 w(Get)f(The)f(P)n(art)n(y)h(Started)f(-)g(Pink)p
1667 2628 V 358 w(MP3)p 1927 2628 V -108 2720 V -57 2692
a(25)i(\(1102\))p 307 2720 V 101 w(Coun)n(try)e(Grammer)f(-)h(Nelly)p
1667 2720 V 484 w(MP3)p 1927 2720 V -108 2811 V -57 2784
a(26)i(\(1098\))p 307 2811 V 101 w(blurry)e(-)g(puddle)f(of)j(m)n(ud)p
1667 2811 V 587 w(MP3)p 1927 2811 V -108 2902 V -57 2875
a(27)g(\(1071\))p 307 2902 V 101 w(driv)n(e)e(-)g(Incubis)p
1667 2902 V 874 w(MP3)p 1927 2902 V -108 2994 V -57 2966
a(28)i(\(1069\))p 307 2994 V 101 w(craig)g(da)n(vid)e(-)g(feel)i(me)d
(in)p 1667 2994 V 585 w(MP3)p 1927 2994 V -108 3085 V
-57 3058 a(29)j(\(1063\))p 307 3085 V 101 w(con)n(trol)f(-)f(Puddle)g
(Of)h(Mud)p 1667 3085 V 524 w(MP3)p 1927 3085 V -108
3176 V -57 3149 a(30)h(\(1053\))p 307 3176 V 101 w(Cread)f(-)f(Higher)p
1667 3176 V 858 w(MP3)p 1927 3176 V -108 3268 V -57 3240
a(31)i(\(1042\))p 307 3268 V 101 w(get)f(this)f(part)n(y)g(started)h(-)
f(pink)p 1667 3268 V 417 w(MP3)p 1927 3268 V -108 3359
V -57 3331 a(32)i(\(1028\))p 307 3359 V 101 w(a-Lifehouse)f(-)g
(Hanging)g(b)n(y)e(a)i(Momen)n(t)p 1667 3359 V 150 w(MP3)p
1927 3359 V -108 3450 V -57 3423 a(33)h(\(1027\))p 307
3450 V 101 w(\014v)n(e)d(for)j(\014gh)n(ting)e(-)h(sup)r(erman)p
1667 3450 V 442 w(MP3)p 1927 3450 V -108 3542 V -57 3514
a(34)h(\(1023\))p 307 3542 V 101 w(enrique)e(eglasias)j(-)d(hero)p
1667 3542 V 614 w(MP3)p 1927 3542 V -108 3633 V -57 3605
a(35)i(\(1020\))p 307 3633 V 101 w(Eagels)g(-)e(Hotel)h(California)p
1667 3633 V 533 w(MP3)p 1927 3633 V -108 3724 V -57 3697
a(36)h(\(1016\))p 307 3724 V 101 w(All)f(or)g(Nothing)f(-)g(O-T)-6
b(o)n(wn)p 1667 3724 V 523 w(MP3)p 1927 3724 V -108 3816
V -57 3788 a(37)27 b(\(1012\))p 307 3816 V 101 w(lead)f(zepplin)f(-)h
(Stairw)n(a)n(y)g(to)f(Hea)n(v)n(en)p 1667 3816 V 226
w(MP3)p 1927 3816 V -108 3907 V -57 3879 a(38)i(\(994\))p
307 3907 V 139 w(Last)f(Resort-P)n(oppa)g(Roac)n(h)p
1667 3907 V 496 w(MP3)p 1927 3907 V -108 3998 V -57 3971
a(39)h(\(992\))p 307 3998 V 139 w(Nelley-EI)p 1667 3998
V 1044 w(MP3)p 1927 3998 V -108 4089 V -57 4062 a(40)g(\(978\))p
307 4089 V 139 w(Ludacris)f(-)f(Role)h(out)p 1667 4089
V 708 w(MP3)p 1927 4089 V -108 4181 V -57 4153 a(41)h(\(974\))p
307 4181 V 139 w(c)n(hop)e(suey)g(-)g(System)g(of)h(a)g(Do)n(wn)p
1667 4181 V 342 w(MP3)p 1927 4181 V -108 4272 V -57 4245
a(42)h(\(956\))p 307 4272 V 139 w(Link)n(en)d(P)n(ark)i(-)f(One)h(Step)
e(Closer)p 1667 4272 V 326 w(MP3)p 1927 4272 V -108 4363
V -57 4336 a(43)j(\(915\))p 307 4363 V 139 w(\(a\))e(Mic)n(helle)i
(Branc)n(h)f(-)f(Ev)n(erywhere)p 1667 4363 V 224 w(MP3)p
1927 4363 V -108 4455 V -57 4427 a(44)i(\(915\))p 307
4455 V 139 w(p)r(o)r(d)e(-)g(y)n(outh)g(of)i(a)f(nation)p
1667 4455 V 572 w(MP3)p 1927 4455 V -108 4546 V -57 4519
a(45)h(\(908\))p 307 4546 V 139 w(Diddo)e(-)g(Thank)g(Y)-6
b(ou)p 1667 4546 V 701 w(MP3)p 1927 4546 V -108 4637
V -57 4610 a(46)27 b(\(900\))p 307 4637 V 139 w(fat)f(jo)r(e)h(feat.)35
b(r.)g(k)n(elly)25 b(-)g(w)n(e)h(th)n(uggin)p 1667 4637
V 252 w(MP3)p 1927 4637 V -108 4729 V -57 4701 a(47)h(\(896\))p
307 4729 V 139 w(A\013roman)d(-)h(Because)i(I)e(Got)i(High)p
1667 4729 V 305 w(MP3)p 1927 4729 V -108 4820 V -57 4793
a(48)g(\(892\))p 307 4820 V 139 w(i)f(do)f(-)g(T)-6 b(o)n(y)n(a)p
1667 4820 V 993 w(MP3)p 1927 4820 V -108 4911 V -57 4884
a(49)27 b(\(868\))p 307 4911 V 139 w(I'm)d(A)i(Th)n(ug)f(-)g(T)-6
b(ric)n(k)26 b(Daddy)p 1667 4911 V 461 w(MP3)p 1927 4911
V -106 4915 2036 4 v 409 5058 a Fe(T)-7 b(able)27 b(5.)j
Fg(T)-6 b(op)25 b(50)i(-)e(Audio)g(\014les)2000 144 y
Fh(10.)41 b(L.)51 b(Breslau,)56 b(P)-7 b(.)51 b(Cao,)56
b(L.)c(F)-7 b(an,)57 b(G.)52 b(Phillips,)h(and)2148 244
y(S.)34 b(Shenk)n(er,)g(\\W)-7 b(eb)34 b(cac)n(hing)d(and)j(Zipf-lik)n
(e)c(distribu-)2148 344 y(tions:)69 b(Evidence)43 b(and)h
(implications,")f(in)g Fi(In)i(Pr)l(o)l(c.)2148 443 y(IEEE)31
b(INF)n(OCOM)e(1999)p Fh(,)h(Marc)n(h)c(1999.)2000 551
y(11.)41 b(K.)d(M.)g(Hanna,)i(N.)e(Natara)5 b(jan,)38
b(and)g(B.)g(N.)g(Levine,)2148 651 y(\\Ev)-5 b(aluation)37
b(of)j(a)f(no)n(v)n(el)f(t)n(w)n(o-step)h(serv)n(er)f(selection)2148
750 y(metric,")25 b(in)i Fi(in)j(Pr)l(o)l(c.)h(IEEE)f(ICNP)h(2001)p
Fh(,)e(No)n(v)n(em)n(b)r(er)2148 850 y(2001.)1894 5507
y(11)p eop
%%Page: 12 12
12 11 bop 95 251 3682 4 v 93 342 4 92 v 110 342 V 161
314 a Fg(Rank)p 448 342 V 465 342 V 177 w(Filename)p
3424 342 V 2652 w(Ext)p 3759 342 V 3775 342 V 95 345
3682 4 v 93 437 4 92 v 110 437 V 161 409 a(0)26 b(\(537\))p
448 437 V 465 437 V 118 w(b)r(ec)n(k)p 3424 437 V 2806
w(ASF)p 3759 437 V 3775 437 V 93 528 V 110 528 V 161
500 a(1)g(\(140\))p 448 528 V 465 528 V 118 w(\(Comedy\))e(-)h(Bask)n
(etball)i(\(so)f(funn)n(y)f(y)n(ou'll)h(p)r(ee)f(y)n(our)h(pan)n(ts\))p
3424 528 V 1097 w(A)-9 b(VI)p 3759 528 V 3775 528 V 93
619 V 110 619 V 161 592 a(2)26 b(\(131\))p 448 619 V
465 619 V 118 w(sample)p 3424 619 V 2727 w(MO)n(V)p 3759
619 V 3775 619 V 93 710 V 110 710 V 161 683 a(3)g(\(118\))p
448 710 V 465 710 V 118 w(britney)e(sp)r(ears)j(-)e(i'm)g(a)h(sla)n(v)n
(e)g(for)h(y)n(ou)p 3424 710 V 1787 w(MPEG)p 3759 710
V 3775 710 V 93 802 V 110 802 V 161 774 a(4)f(\(91\))p
448 802 V 465 802 V 156 w(Shakira)f(-)g(Whenev)n(er,)g(Wherev)n(er)p
3424 802 V 1923 w(MPEG)p 3759 802 V 3775 802 V 93 893
V 110 893 V 161 866 a(5)h(\(79\))p 448 893 V 465 893
V 156 w([p)r(ornographic])p 3424 893 V 2475 w(ASF)p 3759
893 V 3775 893 V 93 984 V 110 984 V 161 957 a(6)g(\(64\))p
448 984 V 465 984 V 156 w(F)-6 b(unn)n(y)23 b(Videos)j(-)f(Msu)h
(Cheerleader)h(A)n(ttac)n(king)e(Wisconsin)i(Mascot)p
3424 984 V 870 w(MPEG)p 3759 984 V 3775 984 V 93 1076
V 110 1076 V 161 1048 a(7)f(\(63\))p 448 1076 V 465 1076
V 156 w(Mtv-jac)n(k)l(ass-shopping)f(Carts)p 3424 1076
V 2030 w(MPG)p 3759 1076 V 3775 1076 V 93 1167 V 110
1167 V 161 1140 a(8)h(\(62\))p 448 1167 V 465 1167 V
156 w(w)n(aiting)p 3424 1167 V 2714 w(A)-9 b(VI)p 3759
1167 V 3775 1167 V 93 1258 V 110 1258 V 161 1231 a(9)26
b(\(61\))p 448 1258 V 465 1258 V 156 w(comedy)e(Giving)i(The)g(Finger)g
(T)-6 b(o)26 b(A)g(Cop)g(\(p)r(olice)g(brutalit)n(y-really)g(funn)n
(y\))p 3424 1258 V 668 w(A)-9 b(VI)p 3759 1258 V 3775
1258 V 93 1350 V 110 1350 V 161 1322 a(10)27 b(\(59\))p
448 1350 V 465 1350 V 117 w(No)e(Doubt)g(-)g(Hey)g(Bab)n(y)p
3424 1350 V 2216 w(MPG)p 3759 1350 V 3775 1350 V 93 1441
V 110 1441 V 161 1414 a(11)i(\(59\))p 448 1441 V 465
1441 V 117 w(Comedy)d(-)i(Sorriest)g(Figh)n(t)g(Ev)n(er)f(Recorded)p
3424 1441 V 1625 w(MPEG)p 3759 1441 V 3775 1441 V 93
1532 V 110 1532 V 161 1505 a(12)i(\(58\))p 448 1532 V
465 1532 V 117 w(hlcell)p 3424 1532 V 2784 w(A)-9 b(VI)p
3759 1532 V 3775 1532 V 93 1624 V 110 1624 V 161 1596
a(13)27 b(\(56\))p 448 1624 V 465 1624 V 117 w(Comedy)d(-)i(Grann)n(y)f
(Kic)n(ks)g(a)h(Bab)n(y)-6 b(..funn)n(y!)p 3424 1624
V 1633 w(MPEG)p 3759 1624 V 3775 1624 V 93 1715 V 110
1715 V 161 1688 a(14)27 b(\(55\))p 448 1715 V 465 1715
V 117 w(SNL)d(-)i(Celebrit)n(y)g(Jeopardy)f(-)h(Adam)e(Sandler,)i
(Connery)-6 b(,)25 b(Cruise)p 3424 1715 V 953 w(MPG)p
3759 1715 V 3775 1715 V 93 1806 V 110 1806 V 161 1779
a(15)i(\(54\))p 448 1806 V 465 1806 V 117 w(lord)f(of)g(the)f(rings)i
(-)e(fello)n(wship)i(of)g(the)e(ring\(1of2\))p 3424 1806
V 1438 w(A)-9 b(VI)p 3759 1806 V 3775 1806 V 93 1898
V 110 1898 V 161 1870 a(16)27 b(\(53\))p 448 1898 V 465
1898 V 117 w(Comedy)d(-)i(Cat)g(A)n(ttac)n(ks)f(Kid)g(\(funn)n(y\))p
3424 1898 V 1775 w(MPG)p 3759 1898 V 3775 1898 V 93 1989
V 110 1989 V 161 1962 a(17)i(\(53\))p 448 1989 V 465
1989 V 117 w(Snl)e(-)g(Adam)f(Sandler)i(&)f(Chris)h(F)-6
b(arley)26 b(-)f(Sc)n(hmitts)g(Ga)n(y)g(Beer)p 3424 1989
V 1061 w(MPEG)p 3759 1989 V 3775 1989 V 93 2080 V 110
2080 V 161 2053 a(18)i(\(52\))p 448 2080 V 465 2080 V
117 w(Jennifer)f(Lop)r(ez)g(-)f(Ain't)h(It)f(F)-6 b(unn)n(y)p
3424 2080 V 1895 w(MPG)p 3759 2080 V 3775 2080 V 93 2172
V 110 2172 V 161 2144 a(19)27 b(\(51\))p 448 2172 V 465
2172 V 117 w(videotest)p 3424 2172 V 2657 w(RM)p 3759
2172 V 3775 2172 V 93 2263 V 110 2263 V 161 2236 a(20)g(\(51\))p
448 2263 V 465 2263 V 117 w([p)r(ornographic])p 3424
2263 V 2475 w(ASF)p 3759 2263 V 3775 2263 V 93 2354 V
110 2354 V 161 2327 a(21)g(\(51\))p 448 2354 V 465 2354
V 117 w(Comedy)d(-)i(F)-6 b(unn)n(y!)32 b(-)25 b(Monk)n(ey)g(sni\013s)h
(butt,)f(passes)i(out!)p 3424 2354 V 1249 w(MPEG)p 3759
2354 V 3775 2354 V 93 2446 V 110 2446 V 161 2418 a(22)g(\(51\))p
448 2446 V 465 2446 V 117 w(The)e(Simpsons)g(-)h(Scary)f(Mo)n(vie)h
(funn)n(y)p 3424 2446 V 1781 w(MPG)p 3759 2446 V 3775
2446 V 93 2537 V 110 2537 V 161 2510 a(23)h(\(51\))p
448 2537 V 465 2537 V 117 w(P)n(amela)f(Anderson)f(T)-6
b(omm)n(y)23 b(Lee)j(sex)g(video)f(1)p 3424 2537 V 1550
w(MPEG)p 3759 2537 V 3775 2537 V 93 2628 V 110 2628 V
161 2601 a(24)i(\(51\))p 448 2628 V 465 2628 V 117 w(Budw)n(eiser)f(-)f
(Comedy)g(-)g(W)-6 b(assup)26 b(-)f(Simpsons)p 3424 2628
V 1540 w(A)-9 b(VI)p 3759 2628 V 3775 2628 V 93 2720
V 110 2720 V 161 2692 a(25)27 b(\(51\))p 448 2720 V 465
2720 V 117 w([p)r(ornographic])p 3424 2720 V 2475 w(MPEG)p
3759 2720 V 3775 2720 V 93 2811 V 110 2811 V 161 2784
a(26)g(\(50\))p 448 2811 V 465 2811 V 117 w(family)e(guy)g(-)h(osama)g
(bin)f(laden)p 3424 2811 V 1979 w(MPEG)p 3759 2811 V
3775 2811 V 93 2902 V 110 2902 V 161 2875 a(27)i(\(50\))p
448 2902 V 465 2902 V 117 w(\014rstrun)p 3424 2902 V
2709 w(RM)p 3759 2902 V 3775 2902 V 93 2994 V 110 2994
V 161 2966 a(28)g(\(49\))p 448 2994 V 465 2994 V 117
w(jennifer)p 773 2966 24 4 v 28 w(lop)r(ez)p 973 2966
V 29 w(feat)p 1127 2966 V 28 w(ja)p 1216 2966 V 29 w(rule-im)p
1485 2966 V 26 w(real)p 1634 2966 V 29 w(\(remix\)-\(buggout-xv)n
(cd\)-hh)n(v)p 3424 2994 4 92 v 873 w(MPG)p 3759 2994
V 3775 2994 V 93 3085 V 110 3085 V 161 3058 a(29)g(\(49\))p
448 3085 V 465 3085 V 117 w(P)n(amela)f(Anderson)f(with)h(T)-6
b(omm)n(y)23 b(Lee)p 3424 3085 V 1772 w(MPG)p 3759 3085
V 3775 3085 V 93 3176 V 110 3176 V 161 3149 a(30)k(\(49\))p
448 3176 V 465 3176 V 117 w(blink)p 691 3149 24 4 v 27
w(182)p 832 3149 V 29 w(-)p 887 3149 V 27 w(dammit)p
3424 3176 4 92 v 2304 w(MPG)p 3759 3176 V 3775 3176 V
93 3268 V 110 3268 V 161 3240 a(31)g(\(49\))p 448 3268
V 465 3268 V 117 w(nelly)p 682 3240 24 4 v 27 w(-)p 735
3240 V 27 w(#1)p 3424 3268 4 92 v 2616 w(MPEG)p 3759
3268 V 3775 3268 V 93 3359 V 110 3359 V 161 3331 a(32)g(\(48\))p
448 3359 V 465 3359 V 117 w(pink-get)d(the)i(part)n(y)f(started)p
3424 3359 V 2085 w(MPG)p 3759 3359 V 3775 3359 V 93 3450
V 110 3450 V 161 3423 a(33)i(\(48\))p 448 3450 V 465
3450 V 117 w(Adult)d(Mo)n(vies)j(-)e(Wifey)h(-)f(Studen)n(t)f(2)p
3424 3450 V 1828 w(MPEG)p 3759 3450 V 3775 3450 V 93
3542 V 110 3542 V 161 3514 a(34)j(\(48\))p 448 3542 V
465 3542 V 117 w([p)r(ornographic])p 3424 3542 V 2475
w(MPG)p 3759 3542 V 3775 3542 V 93 3633 V 110 3633 V
161 3605 a(35)g(\(48\))p 448 3633 V 465 3633 V 117 w(Comedy)d(-)i(F)-6
b(art)25 b(-)g(Matrix)i(F)-6 b(art)25 b(-)g(Extremely)g(F)-6
b(unn)n(y)p 3424 3633 V 1328 w(MPEG)p 3759 3633 V 3775
3633 V 93 3724 V 110 3724 V 161 3697 a(36)27 b(\(48\))p
448 3724 V 465 3724 V 117 w(SNL)d(\(Saturda)n(y)h(Nigh)n(t)g(Liv)n(e\))
h(-)f(Matt)h(F)-6 b(oley)26 b(-)f(Mexican)h(House)g(-)f(Chris)h(F)-6
b(arley)26 b(-)f(Ja)n(y)h(Mohr)p 3424 3724 V 115 w(MPG)p
3759 3724 V 3775 3724 V 93 3816 V 110 3816 V 161 3788
a(37)h(\(47\))p 448 3816 V 465 3816 V 117 w(Southpark)d(-)h(The)h
(Matrix)p 3424 3816 V 2146 w(MPG)p 3759 3816 V 3775 3816
V 93 3907 V 110 3907 V 161 3879 a(38)h(\(47\))p 448 3907
V 465 3907 V 117 w(Sarah)e(Mic)n(helle)i(Gellar)g(-)f(acting)g(as)g
(Britney)g(Sp)r(ears)g(\(SNL\))p 3424 3907 V 1097 w(MPG)p
3759 3907 V 3775 3907 V 93 3998 V 110 3998 V 161 3971
a(39)h(\(46\))p 448 3998 V 465 3998 V 117 w(logo)p 3424
3998 V 2823 w(A)-9 b(VI)p 3759 3998 V 3775 3998 V 93
4089 V 110 4089 V 161 4062 a(40)27 b(\(46\))p 448 4089
V 465 4089 V 117 w(Jac)n(k)l(ass)f(-)f(F)-6 b(ast)26
b(F)-6 b(o)r(o)r(d)26 b(F)-6 b(o)r(otball)p 3424 4089
V 2001 w(MPG)p 3759 4089 V 3775 4089 V 93 4181 V 110
4181 V 161 4153 a(41)27 b(\(46\))p 448 4181 V 465 4181
V 117 w([p)r(ornographic])p 3424 4181 V 2475 w(MPEG)p
3759 4181 V 3775 4181 V 93 4272 V 110 4272 V 161 4245
a(42)g(\(45\))p 448 4272 V 465 4272 V 117 w([p)r(ornographic])p
3424 4272 V 2475 w(MPG)p 3759 4272 V 3775 4272 V 93 4363
V 110 4363 V 161 4336 a(43)g(\(45\))p 448 4363 V 465
4363 V 117 w(SNL)d(-)i(Celebrit)n(y)g(Jeopardy)f(-)h(Connery)-6
b(,)25 b(Jones,)i(Williams)g(\(Anal)e(Bum)g(Co)n(v)n(er\))p
3424 4363 V 512 w(MPEG)p 3759 4363 V 3775 4363 V 93 4455
V 110 4455 V 161 4427 a(44)i(\(45\))p 448 4455 V 465
4455 V 117 w([p)r(ornographic])p 3424 4455 V 2475 w(MPG)p
3759 4455 V 3775 4455 V 93 4546 V 110 4546 V 161 4519
a(45)g(\(45\))p 448 4546 V 465 4546 V 117 w(SNL)d(-)i(Celebrit)n(y)g
(Jeopardy)f(-)h(Connery)-6 b(,)25 b(Reynolds,)h(Stew)n(art)g(\(Ap)r(e)f
(tit\))p 3424 4546 V 752 w(MPEG)p 3759 4546 V 3775 4546
V 93 4637 V 110 4637 V 161 4610 a(46)i(\(45\))p 448 4637
V 465 4637 V 117 w([p)r(ornographic])p 3424 4637 V 2475
w(ASF)p 3759 4637 V 3775 4637 V 93 4729 V 110 4729 V
161 4701 a(47)g(\(45\))p 448 4729 V 465 4729 V 117 w([p)r(ornographic])
p 3424 4729 V 2475 w(MPG)p 3759 4729 V 3775 4729 V 93
4820 V 110 4820 V 161 4793 a(48)g(\(45\))p 448 4820 V
465 4820 V 117 w(jenna)e(jameson)h(n)n(urse)p 3424 4820
V 2277 w(MPG)p 3759 4820 V 3775 4820 V 93 4911 V 110
4911 V 161 4884 a(49)h(\(44\))p 448 4911 V 465 4911 V
117 w(F)-6 b(aces)26 b(Of)g(death)f(-)g(Kid)g(Gets)i(Kic)n(k)n(ed)e(In)
g(His)g(Throat)i(By)e(Some)g(Dancer\(F)-6 b(unn)n(y)24
b(As)h(Hell\)\(1\))p 3424 4911 V 100 w(MPEG)p 3759 4911
V 3775 4911 V 95 4915 3682 4 v 1438 5058 a Fe(T)-7 b(able)27
b(6.)j Fg(T)-6 b(op)25 b(50)i(-)e(Video)h(\014les)1894
5507 y Fh(12)p eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF
|