//
// APPROXIMATE LIMITS
//
int frac[4000]={
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129,
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60,
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99,
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101,
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49,
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175,
109,
206,
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31,
3,
226,
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189,
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214,
29,
335,
195,
305,
144,
602,
619,
794,
474,
732,
662,
843,
602,
840,
678,
747,
488,
880,
768,
765,
272,
520,
437,
609,
403,
694,
555,
662,
498,
907,
833,
916,
495,
711,
663,
862,
605,
842,
586,
502,
144,
431,
222,
166,
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27,
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181,
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170,
105,
417,
238,
257,
-52,
273,
217,
320,
-85,
227,
208,
385,
136,
377,
174,
222,
19,
564,
617,
804,
530,
846,
840,
1073,
807,
999,
863,
979,
761,
1207,
1150,
1227,
810,
1012,
892,
1023,
788,
1043,
807,
808,
523,
833,
694,
713,
223,
488,
492,
694,
387,
589,
280,
168,
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57,
-46,
-2,
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55,
155,
523,
412,
658,
392,
378,
40,
445,
444,
619,
402,
840,
952,
1252,
1057,
1365,
1163,
1169,
916,
1330,
1249,
1332,
971,
1158,
1072,
1244,
903,
1058,
822,
828,
514,
818,
621,
546,
-23,
160,
46,
176,
-24,
277,
116,
202,
-46,
291,
180,
221,
-244,
42,
56,
308,
62,
309,
137,
142,
-181,
163,
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-7,
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-144,
225,
90,
359,
114,
108,
-250,
49,
-28,
24,
-368,
-16,
61,
360,
141,
413,
199,
234,
24,
442,
358,
423,
3,
183,
17,
80,
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150,
104,
211,
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65,
57,
309,
41,
191,
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77,
360,
151,
419,
226,
283,
109,
603,
603,
752,
453,
723,
666,
810,
446,
585,
316,
295,
-19,
425,
442,
582,
246,
583,
588,
848,
697,
975,
732,
726,
431,
717,
506,
465,
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289,
323,
603,
374,
654,
480,
495,
151,
575,
492,
582,
274,
632,
713,
1025,
851,
1050,
752,
696,
304,
559,
400,
412,
-64,
188,
132,
249,
40,
302,
107,
192,
-24,
528,
606,
828,
545,
872,
848,
1062,
765,
930,
774,
845,
591,
1097,
1106,
1223,
848,
1115,
1080,
1300,
1130,
1425,
1271,
1367,
1173,
1572,
1479,
1539,
1119,
1358,
1337,
1519,
1242,
1468,
1187,
1090,
662,
987,
892,
946,
663,
1123,
1260,
1626,
1504,
1727,
1451,
1416,
1086,
1435,
1383,
1475,
1153,
1552,
1603,
1864,
1618,
1871,
1608,
1564,
1252,
1611,
1534,
1606,
1189,
1351,
1265,
1411,
1099,
1269,
1056,
1092,
801,
1092,
920,
885,
377,
622,
570,
730,
585,
928,
773,
852,
635,
1014,
878,
894,
381,
647,
630,
864,
610,
846,
651,
637,
289,
622,
469,
472,
114,
421,
371,
595,
289,
400,
53,
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28,
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88,
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-1971,
-1639,
-1824,
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-1932,
-1585,
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-1602,
-2020,
-1703,
-1625,
-1329,
-1540,
-1311,
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-1996,
-1656,
-1858,
-1857,
-2244,
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-1482,
-1685,
-1496,
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-1904,
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-2049,
-2095,
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-2356,
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-1893,
-1606,
-1792,
-1491,
-1641,
-1548,
-1725,
-1239,
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-1097,
-1456,
-1202,
-1280,
-1113,
-1374,
-1199,
-1420,
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-1719,
-1324,
-1453,
-1455,
-1926,
-1641,
-1689,
-1477,
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-1191,
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-898,
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-808,
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95,
-29,
263,
54,
113,
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149,
17,
35,
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216,
42,
364,
193,
171,
-152,
260,
192,
289,
-11,
362,
481,
814,
635,
871,
631,
642,
321,
626,
551,
615,
250,
613,
684,
970,
818,
1176,
1026,
1121,
973,
1513,
1562,
1726,
1409,
1592,
1441,
1540,
1151,
1243,
1019,
1011,
712,
1140,
1070,
1141,
738,
1003,
952,
1132,
956,
1256,
1066,
1133,
902,
1276,
1129,
1154,
666,
936,
939,
1146,
862,
1086,
810,
737,
313,
610,
510,
602,
274,
691,
795,
1129,
1023,
1234,
982,
921,
588,
892,
795,
875,
537,
912,
1029,
1305,
1099,
1328,
1057,
994,
703,
1135,
1086,
1193,
797,
1005,
919,
1104,
756,
933,
730,
775,
460,
794,
628,
584,
88,
327,
242,
406,
227,
544,
418,
502,
261,
619,
491,
477,
15,
290,
311,
602,
376,
614,
431,
416,
128,
556,
516,
625,
341,
699,
713,
982,
810,
993,
708,
639,
307,
649,
594,
702,
349,
724,
797,
1034,
788,
1045,
806,
791,
546,
1015,
1147,
1413,
1202,
1553,
1621,
1930,
1735,
1962,
1806,
1867,
1614,
2068,
1998,
2057,
1705,
2006,
1993,
2178,
1990,
2286,
2061,
2055,
1735,
1988,
1760,
1686,
1193,
1453,
1487,
1755,
1579,
1879,
1703,
1709,
1400,
1745,
1595,
1572,
1176,
1439,
1401,
1601,
1378,
1556,
1242,
1202,
806,
1178,
1197,
1325,
999,
1330,
1366,
1628,
1344,
1586,
1397,
1459,
1247,
1715,
1678,
1812,
1442,
1572,
1370,
1376,
878,
901,
560,
464,
105,
511,
393,
422,
-53,
217,
189,
322,
116,
397,
165,
168,
-160,
104,
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-43,
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-448,
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-1328,
-1058,
-1243,
-1059,
-1339,
-1405,
-1776,
-1376,
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