bin1 := (2,4)(3,5)(6,10)(7,11)(8,12)(9,13)(14,22)(15,23)(16,24)(17,25)(18,26)
     (19,27)(20,28)(21,29)(30,46)(31,47)(32,48)(33,49)(34,50)(35,51)(36,52)
     (37,53)(38,54)(39,55)(40,56)(41,57)(42,58)(43,59)(44,60)(45,61)(62,94)
     (63,95)(64,96)(65,97)(66,98)(67,99)(68,100)(69,101)(70,102)(71,103)(72,
     104)(73,105)(74,106)(75,82)(76,107)(77,108)(78,109)(79,110)(80,111)(81,
     112)(83,113)(84,114)(85,115)(86,116)(87,117)(88,118)(89,119)(90,120)(91,
     121)(92,122)(93,123)(124,184)(125,185)(126,186)(127,187)(128,188)(129,
     189)(130,190)(131,191)(132,192)(133,193)(134,194)(135,195)(136,196)(137,
     197)(138,198)(139,199)(140,200)(141,201)(142,202)(143,203)(144,204)(145,
     205)(146,206)(147,207)(148,208)(149,209)(150,210)(151,211)(152,212)(153,
     213)(154,214)(155,215)(156,216)(157,217)(158,218)(159,219)(160,220)(161,
     221)(162,222)(163,223)(164,224)(165,225)(166,226)(167,227)(168,228)(169,
     229)(170,230)(171,231)(172,232)(173,233)(174,234)(175,235)(176,236)(177,
     237)(178,238)(179,239)(180,240)(181,241)(182,242)(183,243)(244,364)(245,
     365)(246,366)(247,367)(248,368)(249,369)(250,370)(251,371)(252,372)(253,
     373)(254,374)(255,375)(256,376)(257,377)(258,378)(259,379)(260,380)(261,
     381)(262,382)(263,383)(264,384)(265,385)(266,386)(267,387)(268,388)(269,
     389)(270,390)(271,391)(272,392)(273,393)(274,394)(275,395)(276,396)(277,
     397)(278,398)(279,399)(280,400)(281,401)(282,402)(283,326)(284,403)(285,
     404)(286,405)(287,406)(288,407)(289,408)(290,409)(291,410)(292,411)(293,
     412)(294,413)(295,414)(296,415)(297,416)(298,417)(299,418)(300,419)(301,
     420)(302,421)(303,422)(304,423)(305,424)(306,425)(307,426)(308,427)(309,
     428)(310,429)(311,430)(312,431)(313,432)(314,433)(315,434)(316,435)(317,
     436)(318,437)(319,438)(320,439)(321,440)(322,441)(323,442)(324,443)(325,
     444)(327,445)(328,446)(329,447)(330,448)(331,449)(332,450)(333,451)(334,
     452)(335,453)(336,454)(337,455)(338,456)(339,457)(340,458)(341,459)(342,
     460)(343,461)(344,462)(345,463)(346,464)(347,465)(348,466)(349,467)(350,
     468)(351,469)(352,470)(353,471)(354,472)(355,473)(356,474)(357,475)(358,
     476)(359,477)(360,478)(361,479)(362,480)(363,481)(482,718)(483,719)(484,
     720)(485,721)(486,722)(487,723)(488,724)(489,725)(490,726)(491,727)(492,
     728)(493,729)(494,730)(495,731)(496,732)(497,733)(498,734)(499,735)(500,
     736)(501,737)(502,738)(503,739)(504,740)(505,741)(506,742)(507,743)(508,
     744)(509,745)(510,746)(511,747)(512,748)(513,749)(514,750)(515,751)(516,
     752)(517,753)(518,754)(519,755)(520,756)(521,757)(522,758)(523,759)(524,
     760)(525,761)(526,762)(527,763)(528,764)(529,765)(530,766)(531,767)(532,
     768)(533,769)(534,770)(535,771)(536,772)(537,773)(538,774)(539,775)(540,
     776)(541,777)(542,778)(543,779)(544,780)(545,781)(546,782)(547,783)(548,
     784)(549,785)(550,786)(551,787)(552,788)(553,789)(554,790)(555,791)(556,
     792)(557,793)(558,794)(559,795)(560,796)(561,797)(562,798)(563,799)(564,
     800)(565,801)(566,802)(567,803)(568,804)(569,805)(570,806)(571,807)(572,
     808)(573,809)(574,810)(575,811)(576,812)(577,813)(578,814)(579,815)(580,
     816)(581,817)(582,818)(583,819)(584,820)(585,821)(586,822)(587,823)(588,
     824)(589,825)(590,826)(591,827)(592,828)(593,829)(594,830)(595,831)(596,
     832)(597,833)(598,834)(599,835)(600,836)(601,837)(602,838)(603,839)(604,
     840)(605,841)(606,842)(607,843)(608,844)(609,845)(610,846)(611,847)(612,
     848)(613,849)(614,850)(615,851)(616,852)(617,853)(618,854)(619,855)(620,
     856)(621,857)(622,858)(623,859)(624,860)(625,861)(626,862)(627,863)(628,
     864)(629,865)(630,866)(631,867)(632,868)(633,869)(634,870)(635,871)(636,
     872)(637,873)(638,874)(639,875)(640,876)(641,877)(642,878)(643,879)(644,
     880)(645,881)(646,882)(647,883)(648,884)(649,885)(650,886)(651,887)(652,
     888)(653,889)(654,890)(655,891)(656,892)(657,893)(658,894)(659,895)(660,
     896)(661,897)(662,898)(663,899)(664,900)(665,901)(666,902)(667,903)(668,
     904)(669,905)(670,906)(671,907)(672,908)(673,909)(674,910)(675,911)(676,
     912)(677,913)(678,914)(679,915)(680,916)(681,917)(682,918)(683,919)(684,
     920)(685,921)(686,922)(687,923)(688,924)(689,925)(690,926)(691,927)(692,
     928)(693,929)(694,930)(695,931)(696,932)(697,933)(698,934)(699,935)(700,
     936)(701,937)(702,938)(703,939)(704,940)(705,941)(706,942)(707,943)(708,
     944)(709,945)(710,946)(711,947)(712,948)(713,949)(714,950)(715,951)(716,
     952)(717,953)(954,1411)(955,1412)(956,1413)(957,1414)(958,1415)(959,1416)
     (960,1417)(961,1418)(962,1419)(963,1420)(964,1421)(965,1422)(966,1423)
     (967,982)(968,1424)(969,1425)(970,1426)(971,1427)(972,1428)(973,1429)
     (974,1430)(975,1431)(976,1432)(977,1433)(978,1434)(979,1435)(980,1436)
     (981,1197)(983,1437)(984,1438)(985,1439)(986,1440)(987,1441)(988,1442)
     (989,1443)(990,1444)(991,1445)(992,1446)(993,1447)(994,1448)(995,1449)
     (996,1450)(997,1451)(998,1452)(999,1453)(1000,1454)(1001,1455)(1002,1456)
     (1003,1457)(1004,1458)(1005,1459)(1006,1460)(1007,1461)(1008,1305)(1009,
     1462)(1010,1192)(1011,1463)(1012,1464)(1013,1465)(1014,1466)(1015,1467)
     (1016,1468)(1017,1469)(1018,1470)(1019,1471)(1020,1472)(1021,1473)(1022,
     1474)(1023,1475)(1024,1476)(1025,1477)(1026,1478)(1027,1479)(1028,1480)
     (1029,1481)(1030,1482)(1031,1483)(1032,1484)(1033,1485)(1034,1486)(1035,
     1487)(1036,1488)(1037,1489)(1038,1490)(1039,1491)(1040,1492)(1041,1493)
     (1042,1494)(1043,1495)(1044,1496)(1045,1497)(1046,1498)(1047,1499)(1048,
     1500)(1049,1501)(1050,1502)(1051,1503)(1052,1504)(1053,1505)(1054,1506)
     (1055,1507)(1056,1508)(1057,1509)(1058,1510)(1059,1511)(1060,1512)(1061,
     1513)(1062,1358)(1063,1514)(1064,1515)(1065,1516)(1066,1301)(1067,1517)
     (1068,1518)(1069,1519)(1070,1520)(1071,1521)(1072,1522)(1073,1523)(1074,
     1524)(1075,1525)(1076,1526)(1077,1527)(1078,1528)(1079,1529)(1080,1530)
     (1081,1531)(1082,1532)(1083,1533)(1084,1534)(1085,1535)(1086,1536)(1087,
     1537)(1088,1538)(1089,1539)(1090,1540)(1091,1541)(1092,1542)(1093,1543)
     (1094,1544)(1095,1273)(1096,1545)(1097,1121)(1098,1546)(1099,1547)(1100,
     1548)(1101,1549)(1102,1550)(1103,1551)(1104,1552)(1105,1553)(1106,1554)
     (1107,1555)(1108,1556)(1109,1557)(1110,1558)(1111,1559)(1112,1560)(1113,
     1561)(1114,1562)(1115,1563)(1116,1564)(1117,1565)(1118,1162)(1119,1566)
     (1120,1567)(1122,1568)(1123,1569)(1124,1570)(1125,1571)(1126,1572)(1127,
     1335)(1128,1573)(1129,1574)(1130,1575)(1131,1576)(1132,1577)(1133,1578)
     (1134,1579)(1135,1580)(1136,1581)(1137,1582)(1138,1583)(1139,1584)(1140,
     1585)(1141,1586)(1142,1587)(1143,1588)(1144,1589)(1145,1590)(1146,1591)
     (1147,1592)(1148,1593)(1149,1594)(1150,1595)(1151,1596)(1152,1597)(1153,
     1598)(1154,1599)(1155,1600)(1156,1601)(1157,1602)(1158,1603)(1159,1604)
     (1160,1605)(1161,1606)(1163,1607)(1164,1608)(1165,1609)(1166,1610)(1167,
     1611)(1168,1344)(1169,1612)(1170,1613)(1171,1383)(1172,1614)(1173,1615)
     (1174,1394)(1175,1616)(1176,1617)(1177,1356)(1178,1618)(1179,1619)(1180,
     1367)(1181,1620)(1182,1621)(1183,1622)(1184,1623)(1185,1624)(1186,1625)
     (1187,1626)(1188,1627)(1189,1628)(1190,1629)(1191,1630)(1193,1631)(1194,
     1632)(1195,1633)(1196,1634)(1198,1635)(1199,1636)(1200,1637)(1201,1638)
     (1202,1639)(1203,1640)(1204,1641)(1205,1642)(1206,1643)(1207,1644)(1208,
     1645)(1209,1646)(1210,1647)(1211,1648)(1212,1649)(1213,1650)(1214,1651)
     (1215,1652)(1216,1653)(1217,1654)(1218,1655)(1219,1656)(1220,1657)(1221,
     1658)(1222,1659)(1223,1660)(1224,1661)(1225,1662)(1226,1663)(1227,1664)
     (1228,1665)(1229,1666)(1230,1667)(1231,1668)(1232,1669)(1233,1670)(1234,
     1671)(1235,1672)(1236,1673)(1237,1674)(1238,1675)(1239,1676)(1240,1677)
     (1241,1678)(1242,1679)(1243,1680)(1244,1681)(1245,1682)(1246,1683)(1247,
     1684)(1248,1685)(1249,1686)(1250,1687)(1251,1688)(1252,1689)(1253,1690)
     (1254,1691)(1255,1692)(1256,1693)(1257,1694)(1258,1695)(1259,1696)(1260,
     1697)(1261,1386)(1262,1698)(1263,1699)(1264,1700)(1265,1701)(1266,1702)
     (1267,1703)(1268,1704)(1269,1705)(1270,1706)(1271,1707)(1272,1708)(1274,
     1709)(1275,1710)(1276,1711)(1277,1712)(1278,1713)(1279,1714)(1280,1715)
     (1281,1716)(1282,1717)(1283,1718)(1284,1719)(1285,1720)(1286,1721)(1287,
     1722)(1288,1723)(1289,1724)(1290,1725)(1291,1726)(1292,1727)(1293,1728)
     (1294,1729)(1295,1730)(1296,1731)(1297,1732)(1298,1733)(1299,1734)(1300,
     1735)(1302,1736)(1303,1737)(1304,1738)(1306,1739)(1307,1740)(1308,1741)
     (1309,1742)(1310,1743)(1311,1744)(1312,1745)(1313,1746)(1314,1747)(1315,
     1748)(1316,1749)(1317,1750)(1318,1751)(1319,1752)(1320,1753)(1321,1754)
     (1322,1755)(1323,1756)(1324,1757)(1325,1758)(1326,1759)(1327,1760)(1328,
     1761)(1329,1762)(1330,1763)(1331,1764)(1332,1765)(1333,1766)(1334,1767)
     (1336,1768)(1337,1769)(1338,1770)(1339,1771)(1340,1772)(1341,1773)(1342,
     1774)(1343,1775)(1345,1776)(1346,1777)(1347,1778)(1348,1779)(1349,1780)
     (1350,1781)(1351,1782)(1352,1783)(1353,1784)(1354,1785)(1355,1786)(1357,
     1787)(1359,1788)(1360,1789)(1361,1790)(1362,1791)(1363,1792)(1364,1793)
     (1365,1794)(1366,1795)(1368,1796)(1369,1797)(1370,1798)(1371,1799)(1372,
     1800)(1373,1801)(1374,1802)(1375,1803)(1376,1804)(1377,1805)(1378,1806)
     (1379,1807)(1380,1808)(1381,1809)(1382,1397)(1384,1810)(1385,1811)(1387,
     1812)(1388,1813)(1389,1814)(1390,1815)(1391,1816)(1392,1817)(1393,1818)
     (1395,1819)(1396,1820)(1398,1821)(1399,1822)(1400,1823)(1401,1824)(1402,
     1825)(1403,1826)(1404,1827)(1405,1828)(1406,1829)(1407,1830)(1408,1831)
     (1409,1832)(1410,1833)(1834,2634)(1835,1916)(1836,2635)(1837,2636)(1838,
     2637)(1839,2638)(1840,2639)(1841,2640)(1842,2641)(1843,2642)(1844,2643)
     (1845,2217)(1846,2644)(1847,2645)(1848,2646)(1849,2647)(1850,1879)(1851,
     2648)(1852,2649)(1853,1876)(1854,2650)(1855,2651)(1856,2652)(1857,2653)
     (1858,2654)(1859,2655)(1860,2656)(1861,2657)(1862,2658)(1863,2149)(1864,
     2659)(1865,2660)(1866,2661)(1867,2662)(1868,2663)(1869,2664)(1870,2665)
     (1871,2666)(1872,2667)(1873,2668)(1874,2669)(1875,2670)(1877,2671)(1878,
     2672)(1880,2673)(1881,2674)(1882,2675)(1883,2676)(1884,2614)(1885,2677)
     (1886,2678)(1887,2679)(1888,2680)(1889,2681)(1890,2682)(1891,2683)(1892,
     2684)(1893,2685)(1894,2686)(1895,2590)(1896,2687)(1897,2688)(1898,2689)
     (1899,2690)(1900,2691)(1901,2692)(1902,2693)(1903,2694)(1904,2695)(1905,
     2696)(1906,2697)(1907,1988)(1908,2698)(1909,2699)(1910,2700)(1911,2701)
     (1912,2702)(1913,2703)(1914,2704)(1915,2705)(1917,2706)(1918,2707)(1919,
     2708)(1920,2709)(1921,2710)(1922,2711)(1923,2712)(1924,2713)(1925,2714)
     (1926,2715)(1927,2716)(1928,2717)(1929,2718)(1930,2110)(1931,2719)(1932,
     2720)(1933,2721)(1934,2722)(1935,2723)(1936,2724)(1937,2725)(1938,2726)
     (1939,2727)(1940,2728)(1941,2729)(1942,2730)(1943,2731)(1944,2732)(1945,
     2733)(1946,2734)(1947,2735)(1948,2736)(1949,2737)(1950,2738)(1951,2739)
     (1952,2740)(1953,2741)(1954,2742)(1955,2743)(1956,2054)(1957,2744)(1958,
     2745)(1959,2746)(1960,2747)(1961,2748)(1962,2749)(1963,2750)(1964,2751)
     (1965,2752)(1966,2753)(1967,2754)(1968,2755)(1969,2756)(1970,2757)(1971,
     2758)(1972,2759)(1973,2760)(1974,2761)(1975,2762)(1976,2763)(1977,2764)
     (1978,2765)(1979,2766)(1980,2767)(1981,2768)(1982,2769)(1983,2770)(1984,
     2771)(1985,2772)(1986,2773)(1987,2774)(1989,2775)(1990,2776)(1991,2777)
     (1992,2778)(1993,2779)(1994,2780)(1995,2781)(1996,2782)(1997,2783)(1998,
     2784)(1999,2785)(2000,2786)(2001,2787)(2002,2788)(2003,2789)(2004,2790)
     (2005,2791)(2006,2792)(2007,2793)(2008,2794)(2009,2795)(2010,2796)(2011,
     2797)(2012,2260)(2013,2798)(2014,2799)(2015,2800)(2016,2801)(2017,2802)
     (2018,2803)(2019,2804)(2020,2805)(2021,2806)(2022,2807)(2023,2808)(2024,
     2809)(2025,2810)(2026,2811)(2027,2812)(2028,2813)(2029,2814)(2030,2815)
     (2031,2816)(2032,2817)(2033,2818)(2034,2819)(2035,2820)(2036,2821)(2037,
     2822)(2038,2823)(2039,2824)(2040,2073)(2041,2825)(2042,2826)(2043,2827)
     (2044,2828)(2045,2829)(2046,2830)(2047,2831)(2048,2832)(2049,2833)(2050,
     2834)(2051,2835)(2052,2836)(2053,2837)(2055,2838)(2056,2839)(2057,2840)
     (2058,2841)(2059,2842)(2060,2843)(2061,2844)(2062,2347)(2063,2845)(2064,
     2846)(2065,2847)(2066,2848)(2067,2849)(2068,2850)(2069,2851)(2070,2852)
     (2071,2853)(2072,2854)(2074,2855)(2075,2856)(2076,2857)(2077,2858)(2078,
     2859)(2079,2860)(2080,2861)(2081,2862)(2082,2863)(2083,2864)(2084,2865)
     (2085,2866)(2086,2867)(2087,2868)(2088,2869)(2089,2870)(2090,2871)(2091,
     2872)(2092,2873)(2093,2874)(2094,2875)(2095,2876)(2096,2877)(2097,2878)
     (2098,2879)(2099,2880)(2100,2881)(2101,2882)(2102,2883)(2103,2884)(2104,
     2885)(2105,2886)(2106,2887)(2107,2888)(2108,2889)(2109,2890)(2111,2891)
     (2112,2892)(2113,2893)(2114,2894)(2115,2164)(2116,2895)(2117,2896)(2118,
     2897)(2119,2898)(2120,2899)(2121,2900)(2122,2901)(2123,2902)(2124,2400)
     (2125,2903)(2126,2904)(2127,2905)(2128,2906)(2129,2907)(2130,2908)(2131,
     2909)(2132,2910)(2133,2911)(2134,2912)(2135,2913)(2136,2914)(2137,2915)
     (2138,2916)(2139,2917)(2140,2918)(2141,2919)(2142,2920)(2143,2921)(2144,
     2922)(2145,2923)(2146,2924)(2147,2925)(2148,2926)(2150,2927)(2151,2928)
     (2152,2929)(2153,2930)(2154,2197)(2155,2931)(2156,2932)(2157,2933)(2158,
     2934)(2159,2935)(2160,2936)(2161,2937)(2162,2938)(2163,2250)(2165,2939)
     (2166,2940)(2167,2941)(2168,2942)(2169,2943)(2170,2944)(2171,2945)(2172,
     2946)(2173,2947)(2174,2948)(2175,2949)(2176,2950)(2177,2951)(2178,2952)
     (2179,2953)(2180,2954)(2181,2955)(2182,2956)(2183,2957)(2184,2958)(2185,
     2959)(2186,2960)(2187,2961)(2188,2962)(2189,2963)(2190,2964)(2191,2965)
     (2192,2966)(2193,2967)(2194,2968)(2195,2969)(2196,2970)(2198,2971)(2199,
     2972)(2200,2973)(2201,2974)(2202,2975)(2203,2976)(2204,2977)(2205,2978)
     (2206,2979)(2207,2980)(2208,2981)(2209,2982)(2210,2983)(2211,2984)(2212,
     2985)(2213,2986)(2214,2987)(2215,2988)(2216,2989)(2218,2990)(2219,2991)
     (2220,2992)(2221,2993)(2222,2994)(2223,2995)(2224,2996)(2225,2997)(2226,
     2998)(2227,2999)(2228,3000)(2229,3001)(2230,3002)(2231,3003)(2232,3004)
     (2233,3005)(2234,3006)(2235,3007)(2236,3008)(2237,3009)(2238,3010)(2239,
     3011)(2240,3012)(2241,3013)(2242,3014)(2243,3015)(2244,3016)(2245,3017)
     (2246,3018)(2247,3019)(2248,3020)(2249,3021)(2251,3022)(2252,3023)(2253,
     3024)(2254,3025)(2255,3026)(2256,3027)(2257,3028)(2258,3029)(2259,3030)
     (2261,3031)(2262,3032)(2263,3033)(2264,3034)(2265,3035)(2266,3036)(2267,
     3037)(2268,3038)(2269,2315)(2270,3039)(2271,3040)(2272,3041)(2273,3042)
     (2274,3043)(2275,3044)(2276,3045)(2277,3046)(2278,3047)(2279,3048)(2280,
     3049)(2281,3050)(2282,2343)(2283,3051)(2284,3052)(2285,3053)(2286,3054)
     (2287,3055)(2288,3056)(2289,3057)(2290,3058)(2291,2544)(2292,3059)(2293,
     3060)(2294,3061)(2295,3062)(2296,3063)(2297,3064)(2298,3065)(2299,2515)
     (2300,3066)(2301,3067)(2302,3068)(2303,3069)(2304,3070)(2305,3071)(2306,
     3072)(2307,3073)(2308,3074)(2309,3075)(2310,3076)(2311,3077)(2312,3078)
     (2313,3079)(2314,3080)(2316,3081)(2317,3082)(2318,3083)(2319,3084)(2320,
     3085)(2321,3086)(2322,3087)(2323,3088)(2324,3089)(2325,3090)(2326,3091)
     (2327,3092)(2328,3093)(2329,3094)(2330,3095)(2331,3096)(2332,3097)(2333,
     3098)(2334,3099)(2335,3100)(2336,3101)(2337,3102)(2338,3103)(2339,3104)
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