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executable file
·3175 lines (3051 loc) · 206 KB
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/*
Fast poker hand evaluation. Taken from XPokerEval by James Devlin, cleaned up and combined together
in this file for OOPoker by Lode Vandevenne.
All credits go to (in no particular order):
Cactus Kev (http://www.suffecool.net/poker/evaluator.html)
XPokerEval by James Devlin (http://www.codingthewheel.com/archives/poker-hand-evaluator-roundup)
2+2 poker forums (http://archives1.twoplustwo.com/showflat.php?Number=8513906) and all the people involved in the poker hand evaluator created there
The cleanup was done to:
-remove dependencies on Windows API, it's now multiplatform
-made path for handranks.dat file a bit more customizable
-made a few parameters const when possible, to make it obvious that it won't change the order of your input
-added a few more comments in the header about card formats (luckily the implementation was already very well documented!)
-put it in a namespace to avoid name clashing
-use slightly more portable 64-bit integer types
-put the relevant functionality in a single cpp file to make it easier to include in any project
LICENSE
All of the source code included in this C++ file is open, meaning it's either
GPL, in the public domain, etc. Please check the credits above to find the
origins of the code and the license that applies.
THIS SOFTWARE IS PROVIDED "AS IS" AND ANY EXPRESS OR IMPLIED
WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT,
INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING
IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
POSSIBILITY OF SUCH DAMAGE.
*/
#include "pokereval.h"
#include <stdint.h>
#include <stdio.h>
#include <string.h>
#include <string>
#include <iostream>
static std::string HANDRANKSFILE = "handranks.dat";
namespace PokerEval
{
void setHandsRanksFilePath(const std::string& path)
{
HANDRANKSFILE = path;
}
/*
** this is a table lookup for all "flush" hands (e.g. both
** flushes and straight-flushes. entries containing a zero
** mean that combination is not possible with a five-card
** flush hand.
*/
short flushes[] = {
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, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 1599, 0, 0, 0, 0, 0, 0, 0, 1598, 0, 0, 0, 1597, 0, 1596,
8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1595, 0, 0, 0,
0, 0, 0, 0, 1594, 0, 0, 0, 1593, 0, 1592, 1591, 0, 0, 0, 0, 0, 0,
0, 0, 1590, 0, 0, 0, 1589, 0, 1588, 1587, 0, 0, 0, 0, 1586, 0,
1585, 1584, 0, 0, 1583, 1582, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1581, 0, 0, 0, 0, 0, 0, 0, 1580, 0, 0, 0,
1579, 0, 1578, 1577, 0, 0, 0, 0, 0, 0, 0, 0, 1576, 0, 0, 0, 1575,
0, 1574, 1573, 0, 0, 0, 0, 1572, 0, 1571, 1570, 0, 0, 1569, 1568,
0, 1567, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1566, 0, 0, 0, 1565, 0,
1564, 1563, 0, 0, 0, 0, 1562, 0, 1561, 1560, 0, 0, 1559, 1558, 0,
1557, 0, 0, 0, 0, 0, 0, 1556, 0, 1555, 1554, 0, 0, 1553, 1552, 0,
1551, 0, 0, 0, 0, 1550, 1549, 0, 1548, 0, 0, 0, 6, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1547, 0, 0, 0,
0, 0, 0, 0, 1546, 0, 0, 0, 1545, 0, 1544, 1543, 0, 0, 0, 0, 0, 0,
0, 0, 1542, 0, 0, 0, 1541, 0, 1540, 1539, 0, 0, 0, 0, 1538, 0,
1537, 1536, 0, 0, 1535, 1534, 0, 1533, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1532, 0, 0, 0, 1531, 0, 1530, 1529, 0, 0, 0, 0, 1528, 0, 1527,
1526, 0, 0, 1525, 1524, 0, 1523, 0, 0, 0, 0, 0, 0, 1522, 0, 1521,
1520, 0, 0, 1519, 1518, 0, 1517, 0, 0, 0, 0, 1516, 1515, 0, 1514,
0, 0, 0, 1513, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1512, 0,
0, 0, 1511, 0, 1510, 1509, 0, 0, 0, 0, 1508, 0, 1507, 1506, 0, 0,
1505, 1504, 0, 1503, 0, 0, 0, 0, 0, 0, 1502, 0, 1501, 1500, 0, 0,
1499, 1498, 0, 1497, 0, 0, 0, 0, 1496, 1495, 0, 1494, 0, 0, 0,
1493, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1492, 0, 1491, 1490, 0, 0,
1489, 1488, 0, 1487, 0, 0, 0, 0, 1486, 1485, 0, 1484, 0, 0, 0,
1483, 0, 0, 0, 0, 0, 0, 0, 0, 1482, 1481, 0, 1480, 0, 0, 0, 1479,
0, 0, 0, 0, 0, 0, 0, 5, 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, 1478, 0, 0, 0, 0,
0, 0, 0, 1477, 0, 0, 0, 1476, 0, 1475, 1474, 0, 0, 0, 0, 0, 0, 0,
0, 1473, 0, 0, 0, 1472, 0, 1471, 1470, 0, 0, 0, 0, 1469, 0, 1468,
1467, 0, 0, 1466, 1465, 0, 1464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1463, 0, 0, 0, 1462, 0, 1461, 1460, 0, 0, 0, 0, 1459, 0, 1458,
1457, 0, 0, 1456, 1455, 0, 1454, 0, 0, 0, 0, 0, 0, 1453, 0, 1452,
1451, 0, 0, 1450, 1449, 0, 1448, 0, 0, 0, 0, 1447, 1446, 0, 1445,
0, 0, 0, 1444, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1443, 0,
0, 0, 1442, 0, 1441, 1440, 0, 0, 0, 0, 1439, 0, 1438, 1437, 0, 0,
1436, 1435, 0, 1434, 0, 0, 0, 0, 0, 0, 1433, 0, 1432, 1431, 0, 0,
1430, 1429, 0, 1428, 0, 0, 0, 0, 1427, 1426, 0, 1425, 0, 0, 0,
1424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1423, 0, 1422, 1421, 0, 0,
1420, 1419, 0, 1418, 0, 0, 0, 0, 1417, 1416, 0, 1415, 0, 0, 0,
1414, 0, 0, 0, 0, 0, 0, 0, 0, 1413, 1412, 0, 1411, 0, 0, 0, 1410,
0, 0, 0, 0, 0, 0, 0, 1409, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1408, 0, 0, 0, 1407, 0, 1406, 1405, 0,
0, 0, 0, 1404, 0, 1403, 1402, 0, 0, 1401, 1400, 0, 1399, 0, 0, 0,
0, 0, 0, 1398, 0, 1397, 1396, 0, 0, 1395, 1394, 0, 1393, 0, 0, 0,
0, 1392, 1391, 0, 1390, 0, 0, 0, 1389, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 1388, 0, 1387, 1386, 0, 0, 1385, 1384, 0, 1383, 0, 0, 0, 0,
1382, 1381, 0, 1380, 0, 0, 0, 1379, 0, 0, 0, 0, 0, 0, 0, 0, 1378,
1377, 0, 1376, 0, 0, 0, 1375, 0, 0, 0, 0, 0, 0, 0, 1374, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1373, 0, 1372, 1371,
0, 0, 1370, 1369, 0, 1368, 0, 0, 0, 0, 1367, 1366, 0, 1365, 0, 0,
0, 1364, 0, 0, 0, 0, 0, 0, 0, 0, 1363, 1362, 0, 1361, 0, 0, 0,
1360, 0, 0, 0, 0, 0, 0, 0, 1359, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1358, 1357, 0, 1356, 0, 0, 0, 1355, 0, 0, 0, 0, 0,
0, 0, 1354, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 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,
1353, 0, 0, 0, 0, 0, 0, 0, 1352, 0, 0, 0, 1351, 0, 1350, 1349, 0,
0, 0, 0, 0, 0, 0, 0, 1348, 0, 0, 0, 1347, 0, 1346, 1345, 0, 0, 0,
0, 1344, 0, 1343, 1342, 0, 0, 1341, 1340, 0, 1339, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 1338, 0, 0, 0, 1337, 0, 1336, 1335, 0, 0, 0, 0,
1334, 0, 1333, 1332, 0, 0, 1331, 1330, 0, 1329, 0, 0, 0, 0, 0, 0,
1328, 0, 1327, 1326, 0, 0, 1325, 1324, 0, 1323, 0, 0, 0, 0, 1322,
1321, 0, 1320, 0, 0, 0, 1319, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1318, 0, 0, 0, 1317, 0, 1316, 1315, 0, 0, 0, 0, 1314, 0,
1313, 1312, 0, 0, 1311, 1310, 0, 1309, 0, 0, 0, 0, 0, 0, 1308, 0,
1307, 1306, 0, 0, 1305, 1304, 0, 1303, 0, 0, 0, 0, 1302, 1301, 0,
1300, 0, 0, 0, 1299, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1298, 0, 1297,
1296, 0, 0, 1295, 1294, 0, 1293, 0, 0, 0, 0, 1292, 1291, 0, 1290,
0, 0, 0, 1289, 0, 0, 0, 0, 0, 0, 0, 0, 1288, 1287, 0, 1286, 0, 0,
0, 1285, 0, 0, 0, 0, 0, 0, 0, 1284, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1283, 0, 0, 0, 1282, 0, 1281,
1280, 0, 0, 0, 0, 1279, 0, 1278, 1277, 0, 0, 1276, 1275, 0, 1274,
0, 0, 0, 0, 0, 0, 1273, 0, 1272, 1271, 0, 0, 1270, 1269, 0, 1268,
0, 0, 0, 0, 1267, 1266, 0, 1265, 0, 0, 0, 1264, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1263, 0, 1262, 1261, 0, 0, 1260, 1259, 0, 1258, 0, 0,
0, 0, 1257, 1256, 0, 1255, 0, 0, 0, 1254, 0, 0, 0, 0, 0, 0, 0, 0,
1253, 1252, 0, 1251, 0, 0, 0, 1250, 0, 0, 0, 0, 0, 0, 0, 1249, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1248, 0, 1247,
1246, 0, 0, 1245, 1244, 0, 1243, 0, 0, 0, 0, 1242, 1241, 0, 1240,
0, 0, 0, 1239, 0, 0, 0, 0, 0, 0, 0, 0, 1238, 1237, 0, 1236, 0, 0,
0, 1235, 0, 0, 0, 0, 0, 0, 0, 1234, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1233, 1232, 0, 1231, 0, 0, 0, 1230, 0, 0, 0, 0,
0, 0, 0, 1229, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1228,
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, 1227, 0, 0, 0,
1226, 0, 1225, 1224, 0, 0, 0, 0, 1223, 0, 1222, 1221, 0, 0, 1220,
1219, 0, 1218, 0, 0, 0, 0, 0, 0, 1217, 0, 1216, 1215, 0, 0, 1214,
1213, 0, 1212, 0, 0, 0, 0, 1211, 1210, 0, 1209, 0, 0, 0, 1208, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 1207, 0, 1206, 1205, 0, 0, 1204, 1203,
0, 1202, 0, 0, 0, 0, 1201, 1200, 0, 1199, 0, 0, 0, 1198, 0, 0, 0,
0, 0, 0, 0, 0, 1197, 1196, 0, 1195, 0, 0, 0, 1194, 0, 0, 0, 0, 0,
0, 0, 1193, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1192, 0, 1191, 1190, 0, 0, 1189, 1188, 0, 1187, 0, 0, 0, 0, 1186,
1185, 0, 1184, 0, 0, 0, 1183, 0, 0, 0, 0, 0, 0, 0, 0, 1182, 1181,
0, 1180, 0, 0, 0, 1179, 0, 0, 0, 0, 0, 0, 0, 1178, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1177, 1176, 0, 1175, 0, 0, 0,
1174, 0, 0, 0, 0, 0, 0, 0, 1173, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1172, 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, 1171, 0,
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0, 1141, 1140, 0, 0, 0, 0, 0, 0, 0, 0, 1139, 0, 0, 0, 1138, 0,
1137, 1136, 0, 0, 0, 0, 1135, 0, 1134, 1133, 0, 0, 1132, 1131, 0,
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1039, 0, 1038, 1037, 0, 0, 1036, 1035, 0, 1034, 0, 0, 0, 0, 1033,
1032, 0, 1031, 0, 0, 0, 1030, 0, 0, 0, 0, 0, 0, 0, 0, 1029, 1028,
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1021, 0, 0, 0, 0, 0, 0, 0, 1020, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
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1018, 0, 0, 0, 1017, 0, 1016, 1015, 0, 0, 0, 0, 1014, 0, 1013,
1012, 0, 0, 1011, 1010, 0, 1009, 0, 0, 0, 0, 0, 0, 1008, 0, 1007,
1006, 0, 0, 1005, 1004, 0, 1003, 0, 0, 0, 0, 1002, 1001, 0, 1000,
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0, 995, 994, 0, 993, 0, 0, 0, 0, 992, 991, 0, 990, 0, 0, 0, 989,
0, 0, 0, 0, 0, 0, 0, 0, 988, 987, 0, 986, 0, 0, 0, 985, 0, 0, 0,
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959, 958, 0, 957, 0, 0, 0, 0, 956, 955, 0, 954, 0, 0, 0, 953, 0,
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914, 0, 913, 912, 0, 0, 911, 910, 0, 909, 0, 0, 0, 0, 908, 907,
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878, 0, 877, 876, 0, 0, 875, 874, 0, 873, 0, 0, 0, 0, 872, 871,
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0, 806, 805, 0, 0, 804, 803, 0, 802, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 801, 0, 0, 0, 800, 0, 799, 798, 0, 0, 0, 0, 797, 0, 796, 795,
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788, 787, 0, 786, 0, 0, 0, 0, 785, 784, 0, 783, 0, 0, 0, 782, 0,
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778, 0, 0, 0, 0, 777, 0, 776, 775, 0, 0, 774, 773, 0, 772, 0, 0,
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765, 764, 0, 763, 0, 0, 0, 762, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
761, 0, 760, 759, 0, 0, 758, 757, 0, 756, 0, 0, 0, 0, 755, 754,
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744, 743, 0, 0, 0, 0, 742, 0, 741, 740, 0, 0, 739, 738, 0, 737,
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0, 726, 0, 725, 724, 0, 0, 723, 722, 0, 721, 0, 0, 0, 0, 720,
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714, 0, 0, 0, 713, 0, 0, 0, 0, 0, 0, 0, 712, 0, 0, 0, 0, 0, 0, 0,
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707, 0, 706, 0, 0, 0, 0, 705, 704, 0, 703, 0, 0, 0, 702, 0, 0, 0,
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0, 685, 684, 0, 0, 683, 682, 0, 681, 0, 0, 0, 0, 0, 0, 680, 0,
679, 678, 0, 0, 677, 676, 0, 675, 0, 0, 0, 0, 674, 673, 0, 672,
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0, 667, 666, 0, 665, 0, 0, 0, 0, 664, 663, 0, 662, 0, 0, 0, 661,
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0, 0, 655, 0, 654, 653, 0, 0, 652, 651, 0, 650, 0, 0, 0, 0, 649,
648, 0, 647, 0, 0, 0, 646, 0, 0, 0, 0, 0, 0, 0, 0, 645, 644, 0,
643, 0, 0, 0, 642, 0, 0, 0, 0, 0, 0, 0, 641, 0, 0, 0, 0, 0, 0, 0,
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603, 0, 0, 0, 0, 602, 0, 601, 600, 0, 0, 599, 598, 0, 597, 0, 0,
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590, 589, 0, 588, 0, 0, 0, 587, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
586, 0, 585, 584, 0, 0, 583, 582, 0, 581, 0, 0, 0, 0, 580, 579,
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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
550, 0, 549, 548, 0, 0, 547, 546, 0, 545, 0, 0, 0, 0, 544, 543,
0, 542, 0, 0, 0, 541, 0, 0, 0, 0, 0, 0, 0, 0, 540, 539, 0, 538,
0, 0, 0, 537, 0, 0, 0, 0, 0, 0, 0, 536, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 535, 534, 0, 533, 0, 0, 0, 532, 0, 0, 0,
0, 0, 0, 0, 531, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
530, 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, 529, 528, 0, 527, 0, 0, 0,
526, 0, 0, 0, 0, 0, 0, 0, 525, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 524, 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, 523, 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, 522, 0, 521,
520, 0, 0, 519, 518, 0, 517, 0, 0, 0, 0, 516, 515, 0, 514, 0, 0,
0, 513, 0, 0, 0, 0, 0, 0, 0, 0, 512, 511, 0, 510, 0, 0, 0, 509,
0, 0, 0, 0, 0, 0, 0, 508, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 507, 506, 0, 505, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0,
503, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 502, 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, 501, 500, 0, 499, 0, 0, 0, 498, 0, 0, 0, 0,
0, 0, 0, 497, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 496,
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, 495, 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, 494, 493, 0, 492, 0, 0, 0, 491, 0, 0,
0, 0, 0, 0, 0, 490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
489, 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, 488, 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, 487, 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, 486, 0, 0, 0, 485, 0,
484, 483, 0, 0, 0, 0, 482, 0, 481, 480, 0, 0, 479, 478, 0, 477,
0, 0, 0, 0, 0, 0, 476, 0, 475, 474, 0, 0, 473, 472, 0, 471, 0, 0,
0, 0, 470, 469, 0, 468, 0, 0, 0, 467, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 466, 0, 465, 464, 0, 0, 463, 462, 0, 461, 0, 0, 0, 0, 460,
459, 0, 458, 0, 0, 0, 457, 0, 0, 0, 0, 0, 0, 0, 0, 456, 455, 0,
454, 0, 0, 0, 453, 0, 0, 0, 0, 0, 0, 0, 452, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 451, 0, 450, 449, 0, 0, 448,
447, 0, 446, 0, 0, 0, 0, 445, 444, 0, 443, 0, 0, 0, 442, 0, 0, 0,
0, 0, 0, 0, 0, 441, 440, 0, 439, 0, 0, 0, 438, 0, 0, 0, 0, 0, 0,
0, 437, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 436, 435,
0, 434, 0, 0, 0, 433, 0, 0, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 431, 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, 430, 0, 429, 428, 0, 0, 427, 426, 0, 425, 0, 0, 0, 0, 424,
423, 0, 422, 0, 0, 0, 421, 0, 0, 0, 0, 0, 0, 0, 0, 420, 419, 0,
418, 0, 0, 0, 417, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 415, 414, 0, 413, 0, 0, 0, 412, 0, 0,
0, 0, 0, 0, 0, 411, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
410, 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, 409, 408, 0, 407, 0, 0, 0,
406, 0, 0, 0, 0, 0, 0, 0, 405, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 404, 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, 403, 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, 402, 0, 401,
400, 0, 0, 399, 398, 0, 397, 0, 0, 0, 0, 396, 395, 0, 394, 0, 0,
0, 393, 0, 0, 0, 0, 0, 0, 0, 0, 392, 391, 0, 390, 0, 0, 0, 389,
0, 0, 0, 0, 0, 0, 0, 388, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 387, 386, 0, 385, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0,
383, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 382, 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, 381, 380, 0, 379, 0, 0, 0, 378, 0, 0, 0, 0,
0, 0, 0, 377, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 376,
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, 375, 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, 374, 373, 0, 372, 0, 0, 0, 371, 0, 0,
0, 0, 0, 0, 0, 370, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
369, 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, 368, 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, 367, 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, 366, 0, 365, 364, 0, 0, 363, 362,
0, 361, 0, 0, 0, 0, 360, 359, 0, 358, 0, 0, 0, 357, 0, 0, 0, 0,
0, 0, 0, 0, 356, 355, 0, 354, 0, 0, 0, 353, 0, 0, 0, 0, 0, 0, 0,
352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 351, 350, 0,
349, 0, 0, 0, 348, 0, 0, 0, 0, 0, 0, 0, 347, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 346, 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, 345,
344, 0, 343, 0, 0, 0, 342, 0, 0, 0, 0, 0, 0, 0, 341, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 340, 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,
339, 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,
338, 337, 0, 336, 0, 0, 0, 335, 0, 0, 0, 0, 0, 0, 0, 334, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 333, 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, 332, 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, 331, 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,
330, 329, 0, 328, 0, 0, 0, 327, 0, 0, 0, 0, 0, 0, 0, 326, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 325, 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, 324, 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, 323, 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, 1
};
/*
** this is a table lookup for all non-flush hands consisting
** of five unique ranks (i.e. either Straights or High Card
** hands). it's similar to the above "flushes" array.
*/
short unique5[] = {
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, 1608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 7462, 0, 0, 0, 0, 0, 0, 0, 7461, 0, 0, 0, 7460, 0,
7459, 1607, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7458,
0, 0, 0, 0, 0, 0, 0, 7457, 0, 0, 0, 7456, 0, 7455, 7454, 0, 0, 0,
0, 0, 0, 0, 0, 7453, 0, 0, 0, 7452, 0, 7451, 7450, 0, 0, 0, 0,
7449, 0, 7448, 7447, 0, 0, 7446, 7445, 0, 1606, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7444, 0, 0, 0, 0, 0, 0, 0,
7443, 0, 0, 0, 7442, 0, 7441, 7440, 0, 0, 0, 0, 0, 0, 0, 0, 7439,
0, 0, 0, 7438, 0, 7437, 7436, 0, 0, 0, 0, 7435, 0, 7434, 7433, 0,
0, 7432, 7431, 0, 7430, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7429, 0, 0,
0, 7428, 0, 7427, 7426, 0, 0, 0, 0, 7425, 0, 7424, 7423, 0, 0,
7422, 7421, 0, 7420, 0, 0, 0, 0, 0, 0, 7419, 0, 7418, 7417, 0, 0,
7416, 7415, 0, 7414, 0, 0, 0, 0, 7413, 7412, 0, 7411, 0, 0, 0,
1605, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 7410, 0, 0, 0, 0, 0, 0, 0, 7409, 0, 0, 0, 7408, 0, 7407,
7406, 0, 0, 0, 0, 0, 0, 0, 0, 7405, 0, 0, 0, 7404, 0, 7403, 7402,
0, 0, 0, 0, 7401, 0, 7400, 7399, 0, 0, 7398, 7397, 0, 7396, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 7395, 0, 0, 0, 7394, 0, 7393, 7392, 0, 0,
0, 0, 7391, 0, 7390, 7389, 0, 0, 7388, 7387, 0, 7386, 0, 0, 0, 0,
0, 0, 7385, 0, 7384, 7383, 0, 0, 7382, 7381, 0, 7380, 0, 0, 0, 0,
7379, 7378, 0, 7377, 0, 0, 0, 7376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 7375, 0, 0, 0, 7374, 0, 7373, 7372, 0, 0, 0, 0, 7371,
0, 7370, 7369, 0, 0, 7368, 7367, 0, 7366, 0, 0, 0, 0, 0, 0, 7365,
0, 7364, 7363, 0, 0, 7362, 7361, 0, 7360, 0, 0, 0, 0, 7359, 7358,
0, 7357, 0, 0, 0, 7356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7355, 0,
7354, 7353, 0, 0, 7352, 7351, 0, 7350, 0, 0, 0, 0, 7349, 7348, 0,
7347, 0, 0, 0, 7346, 0, 0, 0, 0, 0, 0, 0, 0, 7345, 7344, 0, 7343,
0, 0, 0, 7342, 0, 0, 0, 0, 0, 0, 0, 1604, 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,
7341, 0, 0, 0, 0, 0, 0, 0, 7340, 0, 0, 0, 7339, 0, 7338, 7337, 0,
0, 0, 0, 0, 0, 0, 0, 7336, 0, 0, 0, 7335, 0, 7334, 7333, 0, 0, 0,
0, 7332, 0, 7331, 7330, 0, 0, 7329, 7328, 0, 7327, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 7326, 0, 0, 0, 7325, 0, 7324, 7323, 0, 0, 0, 0,
7322, 0, 7321, 7320, 0, 0, 7319, 7318, 0, 7317, 0, 0, 0, 0, 0, 0,
7316, 0, 7315, 7314, 0, 0, 7313, 7312, 0, 7311, 0, 0, 0, 0, 7310,
7309, 0, 7308, 0, 0, 0, 7307, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 7306, 0, 0, 0, 7305, 0, 7304, 7303, 0, 0, 0, 0, 7302, 0,
7301, 7300, 0, 0, 7299, 7298, 0, 7297, 0, 0, 0, 0, 0, 0, 7296, 0,
7295, 7294, 0, 0, 7293, 7292, 0, 7291, 0, 0, 0, 0, 7290, 7289, 0,
7288, 0, 0, 0, 7287, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7286, 0, 7285,
7284, 0, 0, 7283, 7282, 0, 7281, 0, 0, 0, 0, 7280, 7279, 0, 7278,
0, 0, 0, 7277, 0, 0, 0, 0, 0, 0, 0, 0, 7276, 7275, 0, 7274, 0, 0,
0, 7273, 0, 0, 0, 0, 0, 0, 0, 7272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7271, 0, 0, 0, 7270, 0, 7269,
7268, 0, 0, 0, 0, 7267, 0, 7266, 7265, 0, 0, 7264, 7263, 0, 7262,
0, 0, 0, 0, 0, 0, 7261, 0, 7260, 7259, 0, 0, 7258, 7257, 0, 7256,
0, 0, 0, 0, 7255, 7254, 0, 7253, 0, 0, 0, 7252, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 7251, 0, 7250, 7249, 0, 0, 7248, 7247, 0, 7246, 0, 0,
0, 0, 7245, 7244, 0, 7243, 0, 0, 0, 7242, 0, 0, 0, 0, 0, 0, 0, 0,
7241, 7240, 0, 7239, 0, 0, 0, 7238, 0, 0, 0, 0, 0, 0, 0, 7237, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7236, 0, 7235,
7234, 0, 0, 7233, 7232, 0, 7231, 0, 0, 0, 0, 7230, 7229, 0, 7228,
0, 0, 0, 7227, 0, 0, 0, 0, 0, 0, 0, 0, 7226, 7225, 0, 7224, 0, 0,
0, 7223, 0, 0, 0, 0, 0, 0, 0, 7222, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 7221, 7220, 0, 7219, 0, 0, 0, 7218, 0, 0, 0, 0,
0, 0, 0, 7217, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1603,
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, 7216, 0, 0, 0, 0, 0, 0, 0, 7215, 0, 0, 0, 7214, 0, 7213,
7212, 0, 0, 0, 0, 0, 0, 0, 0, 7211, 0, 0, 0, 7210, 0, 7209, 7208,
0, 0, 0, 0, 7207, 0, 7206, 7205, 0, 0, 7204, 7203, 0, 7202, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 7201, 0, 0, 0, 7200, 0, 7199, 7198, 0, 0,
0, 0, 7197, 0, 7196, 7195, 0, 0, 7194, 7193, 0, 7192, 0, 0, 0, 0,
0, 0, 7191, 0, 7190, 7189, 0, 0, 7188, 7187, 0, 7186, 0, 0, 0, 0,
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6547, 0, 0, 6546, 6545, 0, 6544, 0, 0, 0, 0, 0, 0, 6543, 0, 6542,
6541, 0, 0, 6540, 6539, 0, 6538, 0, 0, 0, 0, 6537, 6536, 0, 6535,
0, 0, 0, 6534, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6533, 0, 6532, 6531,
0, 0, 6530, 6529, 0, 6528, 0, 0, 0, 0, 6527, 6526, 0, 6525, 0, 0,
0, 6524, 0, 0, 0, 0, 0, 0, 0, 0, 6523, 6522, 0, 6521, 0, 0, 0,
6520, 0, 0, 0, 0, 0, 0, 0, 6519, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 6518, 0, 6517, 6516, 0, 0, 6515, 6514, 0,
6513, 0, 0, 0, 0, 6512, 6511, 0, 6510, 0, 0, 0, 6509, 0, 0, 0, 0,
0, 0, 0, 0, 6508, 6507, 0, 6506, 0, 0, 0, 6505, 0, 0, 0, 0, 0, 0,
0, 6504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6503,
6502, 0, 6501, 0, 0, 0, 6500, 0, 0, 0, 0, 0, 0, 0, 6499, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6498, 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, 6497, 0, 6496, 6495, 0, 0, 6494, 6493, 0, 6492, 0, 0,
0, 0, 6491, 6490, 0, 6489, 0, 0, 0, 6488, 0, 0, 0, 0, 0, 0, 0, 0,
6487, 6486, 0, 6485, 0, 0, 0, 6484, 0, 0, 0, 0, 0, 0, 0, 6483, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6482, 6481, 0, 6480,
0, 0, 0, 6479, 0, 0, 0, 0, 0, 0, 0, 6478, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 6477, 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, 6476,
6475, 0, 6474, 0, 0, 0, 6473, 0, 0, 0, 0, 0, 0, 0, 6472, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6471, 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, 6470, 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, 6469, 0, 0, 0, 6468, 0, 6467, 6466, 0, 0, 0,
0, 6465, 0, 6464, 6463, 0, 0, 6462, 6461, 0, 6460, 0, 0, 0, 0, 0,
0, 6459, 0, 6458, 6457, 0, 0, 6456, 6455, 0, 6454, 0, 0, 0, 0,
6453, 6452, 0, 6451, 0, 0, 0, 6450, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
6449, 0, 6448, 6447, 0, 0, 6446, 6445, 0, 6444, 0, 0, 0, 0, 6443,
6442, 0, 6441, 0, 0, 0, 6440, 0, 0, 0, 0, 0, 0, 0, 0, 6439, 6438,
0, 6437, 0, 0, 0, 6436, 0, 0, 0, 0, 0, 0, 0, 6435, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6434, 0, 6433, 6432, 0, 0,
6431, 6430, 0, 6429, 0, 0, 0, 0, 6428, 6427, 0, 6426, 0, 0, 0,
6425, 0, 0, 0, 0, 0, 0, 0, 0, 6424, 6423, 0, 6422, 0, 0, 0, 6421,
0, 0, 0, 0, 0, 0, 0, 6420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 6419, 6418, 0, 6417, 0, 0, 0, 6416, 0, 0, 0, 0, 0, 0, 0,
6415, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6414, 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, 6413, 0, 6412, 6411, 0, 0, 6410, 6409,
0, 6408, 0, 0, 0, 0, 6407, 6406, 0, 6405, 0, 0, 0, 6404, 0, 0, 0,
0, 0, 0, 0, 0, 6403, 6402, 0, 6401, 0, 0, 0, 6400, 0, 0, 0, 0, 0,
0, 0, 6399, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6398,
6397, 0, 6396, 0, 0, 0, 6395, 0, 0, 0, 0, 0, 0, 0, 6394, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6393, 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, 6392, 6391, 0, 6390, 0, 0, 0, 6389, 0, 0, 0, 0, 0, 0, 0,
6388, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6387, 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, 6386, 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, 6385, 0, 6384, 6383, 0, 0, 6382, 6381, 0,
6380, 0, 0, 0, 0, 6379, 6378, 0, 6377, 0, 0, 0, 6376, 0, 0, 0, 0,
0, 0, 0, 0, 6375, 6374, 0, 6373, 0, 0, 0, 6372, 0, 0, 0, 0, 0, 0,
0, 6371, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6370,
6369, 0, 6368, 0, 0, 0, 6367, 0, 0, 0, 0, 0, 0, 0, 6366, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6365, 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, 6364, 6363, 0, 6362, 0, 0, 0, 6361, 0, 0, 0, 0, 0, 0, 0,
6360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6359, 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, 6358, 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, 6357, 6356, 0, 6355, 0, 0, 0, 6354, 0, 0, 0, 0,
0, 0, 0, 6353, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6352,
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, 6351, 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, 6350, 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, 6349, 0, 0, 0, 6348, 0, 6347,
6346, 0, 0, 0, 0, 6345, 0, 6344, 6343, 0, 0, 6342, 6341, 0, 6340,
0, 0, 0, 0, 0, 0, 6339, 0, 6338, 6337, 0, 0, 6336, 6335, 0, 6334,
0, 0, 0, 0, 6333, 6332, 0, 6331, 0, 0, 0, 6330, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6329, 0, 6328, 6327, 0, 0, 6326, 6325, 0, 6324, 0, 0,
0, 0, 6323, 6322, 0, 6321, 0, 0, 0, 6320, 0, 0, 0, 0, 0, 0, 0, 0,
6319, 6318, 0, 6317, 0, 0, 0, 6316, 0, 0, 0, 0, 0, 0, 0, 6315, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6314, 0, 6313,
6312, 0, 0, 6311, 6310, 0, 6309, 0, 0, 0, 0, 6308, 6307, 0, 6306,
0, 0, 0, 6305, 0, 0, 0, 0, 0, 0, 0, 0, 6304, 6303, 0, 6302, 0, 0,
0, 6301, 0, 0, 0, 0, 0, 0, 0, 6300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 6299, 6298, 0, 6297, 0, 0, 0, 6296, 0, 0, 0, 0,
0, 0, 0, 6295, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6294,
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, 6293, 0, 6292, 6291, 0, 0,
6290, 6289, 0, 6288, 0, 0, 0, 0, 6287, 6286, 0, 6285, 0, 0, 0,
6284, 0, 0, 0, 0, 0, 0, 0, 0, 6283, 6282, 0, 6281, 0, 0, 0, 6280,
0, 0, 0, 0, 0, 0, 0, 6279, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 6278, 6277, 0, 6276, 0, 0, 0, 6275, 0, 0, 0, 0, 0, 0, 0,
6274, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6273, 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, 6272, 6271, 0, 6270, 0, 0, 0, 6269, 0, 0, 0,
0, 0, 0, 0, 6268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
6267, 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, 6266, 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, 6265, 0, 6264, 6263, 0, 0,
6262, 6261, 0, 6260, 0, 0, 0, 0, 6259, 6258, 0, 6257, 0, 0, 0,
6256, 0, 0, 0, 0, 0, 0, 0, 0, 6255, 6254, 0, 6253, 0, 0, 0, 6252,
0, 0, 0, 0, 0, 0, 0, 6251, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 6250, 6249, 0, 6248, 0, 0, 0, 6247, 0, 0, 0, 0, 0, 0, 0,
6246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6245, 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, 6244, 6243, 0, 6242, 0, 0, 0, 6241, 0, 0, 0,
0, 0, 0, 0, 6240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
6239, 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, 6238, 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, 6237, 6236, 0, 6235, 0, 0, 0,
6234, 0, 0, 0, 0, 0, 0, 0, 6233, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6232, 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, 6231, 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, 6230, 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, 6229, 0, 6228, 6227, 0,
0, 6226, 6225, 0, 6224, 0, 0, 0, 0, 6223, 6222, 0, 6221, 0, 0, 0,
6220, 0, 0, 0, 0, 0, 0, 0, 0, 6219, 6218, 0, 6217, 0, 0, 0, 6216,
0, 0, 0, 0, 0, 0, 0, 6215, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 6214, 6213, 0, 6212, 0, 0, 0, 6211, 0, 0, 0, 0, 0, 0, 0,
6210, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6209, 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, 6208, 6207, 0, 6206, 0, 0, 0, 6205, 0, 0, 0,
0, 0, 0, 0, 6204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
6203, 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, 6202, 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, 6201, 6200, 0, 6199, 0, 0, 0,
6198, 0, 0, 0, 0, 0, 0, 0, 6197, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6196, 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, 6195, 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, 6194, 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, 6193, 6192, 0, 6191, 0, 0, 0,
6190, 0, 0, 0, 0, 0, 0, 0, 6189, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 6188, 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, 6187, 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, 6186, 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, 1600
};
int products[] = {
48, 72, 80, 108, 112, 120, 162, 168, 176, 180, 200, 208, 252,
264, 270, 272, 280, 300, 304, 312, 368, 378, 392, 396, 405, 408,
420, 440, 450, 456, 464, 468, 496, 500, 520, 552, 567, 588, 592,
594, 612, 616, 630, 656, 660, 675, 680, 684, 696, 700, 702, 728,
744, 750, 760, 780, 828, 882, 888, 891, 918, 920, 924, 945, 952,
968, 980, 984, 990, 1020, 1026, 1044, 1050, 1053, 1064, 1092,
1100, 1116, 1125, 1140, 1144, 1160, 1170, 1240, 1242, 1250, 1288,
1300, 1323, 1332, 1352, 1372, 1377, 1380, 1386, 1428, 1452, 1470,
1476, 1480, 1485, 1496, 1530, 1539, 1540, 1566, 1575, 1596, 1624,
1638, 1640, 1650, 1672, 1674, 1700, 1710, 1716, 1736, 1740, 1750,
1755, 1768, 1820, 1860, 1863, 1875, 1900, 1932, 1950, 1976, 1998,
2024, 2028, 2058, 2070, 2072, 2079, 2142, 2156, 2178, 2205, 2214,
2220, 2244, 2295, 2296, 2300, 2312, 2349, 2380, 2392, 2394, 2420,
2436, 2450, 2457, 2460, 2475, 2508, 2511, 2548, 2550, 2552, 2565,
2574, 2584, 2604, 2610, 2625, 2652, 2660, 2728, 2750, 2790, 2850,
2860, 2888, 2898, 2900, 2925, 2964, 2997, 3016, 3036, 3042, 3087,
3100, 3105, 3108, 3128, 3213, 3220, 3224, 3234, 3250, 3256, 3267,
3321, 3330, 3332, 3366, 3380, 3388, 3430, 3444, 3450, 3465, 3468,
3496, 3588, 3591, 3608, 3630, 3654, 3675, 3690, 3700, 3724, 3740,
3762, 3822, 3825, 3828, 3848, 3850, 3861, 3876, 3906, 3915, 3944,
3978, 4004, 4060, 4092, 4095, 4100, 4125, 4180, 4185, 4216, 4232,
4250, 4264, 4275, 4332, 4340, 4347, 4350, 4375, 4408, 4420, 4446,
4508, 4524, 4550, 4554, 4563, 4650, 4662, 4692, 4712, 4732, 4750,
4802, 4836, 4851, 4875, 4884, 4940, 4995, 4998, 5032, 5049, 5060,
5070, 5082, 5145, 5166, 5175, 5180, 5202, 5236, 5244, 5324, 5336,
5355, 5382, 5390, 5412, 5445, 5481, 5535, 5550, 5576, 5586, 5624,
5643, 5684, 5704, 5733, 5740, 5742, 5750, 5772, 5775, 5780, 5814,
5852, 5859, 5916, 5950, 5967, 5980, 5985, 6050, 6076, 6125, 6138,
6150, 6188, 6232, 6292, 6324, 6348, 6370, 6375, 6380, 6396, 6435,
6460, 6498, 6525, 6612, 6650, 6669, 6728, 6762, 6786, 6808, 6820,
6825, 6831, 6875, 6916, 6975, 6993, 7038, 7068, 7084, 7098, 7125,
7150, 7192, 7203, 7220, 7245, 7250, 7252, 7254, 7326, 7436, 7497,
7540, 7544, 7546, 7548, 7605, 7623, 7688, 7749, 7750, 7803, 7820,
7866, 7986, 8004, 8036, 8050, 8060, 8073, 8085, 8092, 8118, 8125,
8140, 8228, 8325, 8330, 8364, 8372, 8379, 8415, 8436, 8450, 8470,
8526, 8556, 8575, 8584, 8613, 8625, 8658, 8670, 8721, 8740, 8788,
8874, 8918, 8925, 8932, 9009, 9020, 9044, 9075, 9114, 9135, 9176,
9196, 9207, 9225, 9250, 9310, 9348, 9350, 9405, 9438, 9486, 9512,
9522, 9548, 9555, 9594, 9620, 9625, 9724, 9747, 9765, 9860, 9918,
9945, 9975, 10092, 10108, 10143, 10150, 10168, 10179, 10212,
10250, 10450, 10540, 10556, 10557, 10580, 10602, 10625, 10647,
10660, 10725, 10788, 10830, 10850, 10868, 10875, 10878, 10881,
10948, 10952, 10989, 11020, 11050, 11115, 11132, 11154, 11270,
11284, 11316, 11319, 11322, 11375, 11385, 11396, 11492, 11532,
11625, 11655, 11662, 11780, 11781, 11799, 11830, 11858, 11875,
11979, 12005, 12006, 12054, 12075, 12136, 12138, 12177, 12236,
12342, 12350, 12495, 12546, 12580, 12628, 12650, 12654, 12675,
12705, 12716, 12789, 12834, 12844, 12876, 12915, 12950, 12987,
13005, 13034, 13156, 13167, 13182, 13310, 13311, 13340, 13377,
13448, 13455, 13468, 13475, 13671, 13764, 13794, 13804, 13875,
13923, 13940, 13965, 14014, 14022, 14025, 14036, 14060, 14157,
14210, 14212, 14229, 14260, 14268, 14283, 14350, 14355, 14375,
14391, 14450, 14535, 14756, 14812, 14875, 14877, 14924, 14950,
15004, 15028, 15125, 15138, 15162, 15190, 15225, 15252, 15318,
15345, 15375, 15428, 15548, 15561, 15580, 15675, 15730, 15778,
15870, 15884, 15903, 15925, 15939, 15950, 16150, 16182, 16245,
16275, 16317, 16428, 16492, 16562, 16575, 16588, 16625, 16698,
16731, 16796, 16820, 16905, 16965, 16974, 16983, 17020, 17050,
17204, 17238, 17298, 17493, 17595, 17612, 17732, 17745, 17787,
17875, 17908, 17980, 18009, 18050, 18081, 18125, 18130, 18135,
18204, 18207, 18315, 18326, 18513, 18525, 18590, 18634, 18676,
18772, 18819, 18837, 18850, 18860, 18865, 18975, 18981, 19074,
19220, 19228, 19251, 19266, 19314, 19375, 19425, 19516, 19550,
19551, 19604, 19652, 19665, 19684, 19773, 19844, 19894, 19964,
19965, 20090, 20097, 20125, 20150, 20172, 20230, 20295, 20332,
20349, 20350, 20482, 20570, 20646, 20691, 20825, 20956, 21021,
21033, 21054, 21125, 21164, 21175, 21266, 21315, 21402, 21460,
21483, 21525, 21645, 21658, 21675, 21692, 21812, 21850, 21879,
21964, 21970, 22022, 22185, 22218, 22295, 22425, 22506, 22542,
22550, 22707, 22724, 22743, 22785, 22878, 22940, 22977, 22990,
23125, 23188, 23275, 23276, 23322, 23375, 23452, 23548, 23595,
23667, 23715, 23751, 23780, 23805, 23826, 23828, 23925, 23985,
24050, 24206, 24225, 24244, 24273, 24453, 24548, 24633, 24642,
24650, 24794, 24795, 24843, 25012, 25025, 25047, 25172, 25230,
25270, 25375, 25382, 25389, 25420, 25461, 25575, 25625, 25636,
25641, 25857, 25916, 25947, 26026, 26125, 26350, 26404, 26411,
26450, 26505, 26588, 26650, 26862, 26908, 27075, 27125, 27195,
27306, 27380, 27404, 27436, 27489, 27508, 27531, 27550, 27625,
27676, 27716, 27830, 27885, 27951, 28126, 28158, 28175, 28275,
28305, 28322, 28413, 28611, 28652, 28730, 28798, 28830, 28899,
28971, 29155, 29282, 29302, 29325, 29348, 29406, 29450, 29478,
29575, 29601, 29645, 29716, 29766, 29841, 30015, 30044, 30135,
30225, 30258, 30303, 30340, 30345, 30525, 30628, 30668, 30723,
30758, 30855, 30875, 30932, 30969, 31059, 31213, 31262, 31365,
31372, 31434, 31450, 31581, 31625, 31635, 31654, 31790, 31899,