int pos[] = {
0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,129,130,132,134,136,138,139,141,142,145,146,148,149,149,152,153,156,158,159,160,161,162,163,164,165,166,167,169,172,175,178,179,180,181,182,183,184,185,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,212,214,215,216,217,218,219,220,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,247
,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,300,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,325,327,329,330,331,332,333,334,335,337,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,406,407,408,409,410,411,412,413,414,415,416,417,418,420,422,423,424,426,427,428,430,432,433,434,435,436,437,438,439,440,441,442,443,444,446,448,450,452,453,454,455,457,458,459,461,463,464,466,468,470,472,474,476,478,480,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,505,507,508,509,510,511,512,513,514,515,516,517,519,521,522,524,526,528,529,530,532,533,534,535,536,537,539,541,542
,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,579,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,603,605,606,607,608,609,610,611,612,615,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,663,664,665,666,667,668,669,670,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,718,720,722,724,726,728,730,732,734,736,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,793,793,793,793,793,793,793,794,795,796,799,802,805,808,811,814,817,820,823,826,829,832,835,838,841,844
,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,844,847,850,853,856,859,862,865,868,871,874,877,880,883,886,889,892,895,895,895,895,896,897,898,899,900,901,902,903,904,905,906,907,908,911,914,917,920,921,922,925,928,931,934,934,937,940,943,944,947,950,953,956,959,959,959,960,961,962,963,964,967,968,971,972,973,974,975,976,977,978,979,980,981,983,984,985,986,987,988,990,991,992,993,996,997,998,999,1001,1003,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1037,1039,1041,1042,1043,1044,1045,1046,1047,1050,1051,1053,1054,1055,1056,1058,1059,1060,1063,1066,1068,1070,1071,1072,1073,1074,1076,1078,1080,1082,1083,1084,1086,1088,1089,1090,1091,1092,1094,1096,1098,1100,1101,1102,1103,1104,1107,1110,1113,1116,1119,1122,1125,1128,1131,1134,1137
,1137,1139,1141,1143,1145,1147,1149,1150,1152,1153,1155,1157,1160,1162,1163,1164,1167,1168,1169,1170,1171,1172,1173,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1191,1193,1195,1197,1201,1202,1203,1204,1205,1207,1209,1210,1211,1212,1213,1214,1215,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1233,1235,1237,1239,1243,1244,1245,1246,1247,1249,1251,1253,1255,1257,1259,1261,1263,1264,1266,1267,1269,1271,1274,1276,1277,1278,1281,1282,1283,1284,1285,1287,1289,1290,1291,1293,1295,1296,1297,1299,1301,1303,1305,1307,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1323,1325,1326,1327,1333,1333,1333,1333,1333,1336,1345,1356,1359,1362,1363,1364,1366,1368,1370,1372,1374,1376,1378,1380,1383,1386,1388,1390,1392,1394,1396,1398,1400,1402,1404,1406,1408,1410,1412,1414,1416,1418,1420,1422,1424,1426,1428,1430,1431,1432,1434,1436,1439,1442,1445,1448,1451,1454,1457,1460,1461,1462,1464,1466,1469,1472,1473,1475,1477,1479,1481,1484,1487,1489,1491,1494,1497,1499,1501,1504,1507,1510,1511,1512,1513,1514,1516,1518,1520,1522,1523,1524,1525,1526,1528,1530,1531,1532,1534,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1556,1558,1561,1564,1565,1566,1569,1572,1575,1578,1581
,1581,1584,1587,1590,1593,1596,1599,1602,1605,1608,1611,1614,1617,1620,1623,1626,1629,1632,1635,1638,1641,1644,1647,1650,1653,1656,1659,1662,1665,1668,1671,1674,1677,1680,1683,1686,1689,1692,1695,1698,1701,1704,1707,1710,1713,1716,1719,1722,1725,1728,1729,1730,1731,1732,1733,1734,1735,1736,1738,1740,1741,1742,1744,1746,1747,1748,1750,1752,1754,1755,1756,1757,1759,1760,1763,1764,1765,1767,1768,1769,1770,1771,1774,1775,1777,1779,1780,1781,1784,1787,1788,1789,1790,1791,1792,1793,1794,1797,1798,1799,1800,1801,1802,1803,1804,1805,1807,1809,1810,1811,1813,1815,1816,1817,1819,1821,1823,1824,1825,1826,1828,1829,1832,1833,1834,1836,1837,1838,1839,1840,1843,1844,1846,1848,1849,1850,1852,1855,1856,1857,1860,1863,1866,1869,1872,1875,1875,1875,1875,1875,1875,1875,1875,1875,1875,1875,1875,1875,1875,1875,1875,1875,1875,1878,1878,1878,1878,1878,1878,1878,1878,1878,1878,1878,1878,1878,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1891,1892,1893,1893,1893,1893,1893,1893,1893,1894,1894,1897,1900,1903,1906,1909,1912,1915,1918,1921,1924,1927,1927,1928,1929,1930,1931,1932,1933,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1950,1952,1953,1954,1956,1957,1960,1963,1966,1969,1972,1973,1975,1976,1977,1978,1981,1984,1987,1990,1993,1996,1999,2002,2005,2008
,2008,2011,2014,2017,2020,2023,2026,2029,2032,2035,2038,2041,2044,2045,2048,2051,2054,2057,2060,2063,2066,2069,2072,2075,2078,2081,2084,2087,2088,2091,2094,2097,2098,2101,2101,2102,2103,2105,2105,2107,2107,2108,2109,2110,2112,2113,2114,2116,2117,2119,2120,2121,2122,2124,2125,2126,2127,2128,2129,2130,2133,2136,2139,2142,2145,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2157,2159,2161,2162,2163,2164,2165,2165,2165,2166,2167,2170,2173,2176,2179,2182,2185,2188,2191,2194,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2214,2217,2217,2218,2219,2220,2220,2221,2223,2225,2227,2229,2232,2233,2234,2235,2236,2238,2240,2242,2243,2245,2247,2248,2250,2253,2255,2256,2257,2259,2261,2264,2265,2266,2267,2269,2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2285,2286,2287,2288,2289,2290,2292,2293,2294,2296,2297,2298,2299,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2320,2322,2323,2324,2325,2326,2328,2330,2331,2333,2335,2336,2337,2338,2339,2340,2341,2341,2341,2342,2344,2345,2347,2347,2347,2347,2347,2347,2347,2347,2348,2349,2349,2349,2349,2349,2349,2349,2349,2349,2349,2349,2350,2350,2350,2350,2350,2353,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2368,2369,2371,2372,2374
,2374,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,2392,2392,2393,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2421,2422,2425,2428,2431,2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2447,2448,2449,2449,2449,2450,2451,2452,2453,2454,2455,2458,2461,2464,2467,2470,2473,2476,2479,2482,2485,2488,2491,2494,2497,2500,2503,2506,2509,2512,2515,2518,2521,2524,2527,2530,2533,2536,2539,2542,2545,2548,2551,2554,2557,2560,2563,2566,2569,2572,2575,2578,2581,2584,2587,2590,2593,2596,2599,2602,2605,2608,2611,2614,2615,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2628,2630,2631,2632,2634,2635,2636,2637,2638,2639,2640,2641,2643,2645,2647,2649,2651,2652,2654,2655,2656,2657,2658,2659,2661,2662,2663,2664,2666,2667,2669,2670,2672,2673,2675,2676,2678,2678,2681,2684,2687,2690,2693,2696,2699,2702,2705,2708,2711,2714,2717,2720,2723,2726,2729,2732,2735,2738,2741,2744,2747,2750,2753,2756,2759,2762,2765,2768,2771,2774,2777,2780,2783,2786,2789,2792,2795,2798,2801,2804,2807,2810,2813,2816,2819,2822,2825,2828,2831,2834,2837,2840,2843,2846,2849,2852,2855,2858,2861,2864,2867,2870,2873,2876,2879,2882,2885,2888,2891,2894,2897,2900,2903,2906,2909,2912
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,2912,2915,2916,2917,2918,2921,2922,2924,2925,2927,2928,2930,2931,2932,2934,2935,2936,2938,2940,2941,2942,2944,2945,2947,2948,2950,2952,2953,2955,2956,2958,2960,2962,2965,2967,2970,2972,2973,2975,2976,2978,2979,2982,2983,2985,2986,2988,2989,2990,2991,2993,2994,2995,2998,2999,3001,3003,3004,3005,3008,3011,3012,3013,3015,3016,3018,3019,3021,3022,3024,3026,3027,3028,3030,3032,3033,3034,3036,3036,3039,3042,3045,3046,3047,3048,3049,3052,3055,3058,3059,3062,3065,3066,3070,3072,3073,3075,3077,3079,3080,3082,3085,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3103,3106,3109,3112,3115,3118,3121,3124,3127,3130,3133,3136,3139,3142,3145,3148,3149,3150,3151,3154,3155,3157,3158,3160,3161,3163,3164,3166,3169,3172,3173,3175,3178,3181,3182,3184,3185,3187,3188,3190,3192,3193,3195,3196,3198,3200,3202,3205,3207,3210,3212,3213,3215,3216,3218,3219,3222,3223,3225,3226,3228,3229,3230,3231,3234,3235,3238,3241,3244,3246,3248,3249,3250,3253,3256,3257,3260,3262,3263,3265,3266,3268,3269,3271,3274,3277,3278,3280,3283,3286,3287,3289,3289,3292,3295,3298,3301,3304,3307,3310,3313,3316,3317,3320,3323,3326,3329,3331,3333,3336,3338,3340,3342,3343,3345,3348,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3363,3365,3367,3369,3371,3373,3375,3377,3384,3387,3387,3390,3393,3396,3399
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