pokereval.cpp

/*

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,
  1170, 1169, 0, 0, 1168, 1167, 0, 1166, 0, 0, 0, 0, 1165, 1164, 0,
  1163, 0, 0, 0, 1162, 0, 0, 0, 0, 0, 0, 0, 0, 1161, 1160, 0, 1159,
  0, 0, 0, 1158, 0, 0, 0, 0, 0, 0, 0, 1157, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 1156, 1155, 0, 1154, 0, 0, 0, 1153, 0, 0,
  0, 0, 0, 0, 0, 1152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  1151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1150, 1149, 0, 1148, 0, 0, 0,
  1147, 0, 0, 0, 0, 0, 0, 0, 1146, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 1145, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 1144, 0, 0, 0, 0, 0, 0, 0, 1143, 0, 0, 0, 1142,
  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,
  1130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1129, 0, 0, 0, 1128, 0, 1127,
  1126, 0, 0, 0, 0, 1125, 0, 1124, 1123, 0, 0, 1122, 1121, 0, 1120,
  0, 0, 0, 0, 0, 0, 1119, 0, 1118, 1117, 0, 0, 1116, 1115, 0, 1114,
  0, 0, 0, 0, 1113, 1112, 0, 1111, 0, 0, 0, 1110, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 1109, 0, 0, 0, 1108, 0, 1107, 1106, 0, 0,
  0, 0, 1105, 0, 1104, 1103, 0, 0, 1102, 1101, 0, 1100, 0, 0, 0, 0,
  0, 0, 1099, 0, 1098, 1097, 0, 0, 1096, 1095, 0, 1094, 0, 0, 0, 0,
  1093, 1092, 0, 1091, 0, 0, 0, 1090, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  1089, 0, 1088, 1087, 0, 0, 1086, 1085, 0, 1084, 0, 0, 0, 0, 1083,
  1082, 0, 1081, 0, 0, 0, 1080, 0, 0, 0, 0, 0, 0, 0, 0, 1079, 1078,
  0, 1077, 0, 0, 0, 1076, 0, 0, 0, 0, 0, 0, 0, 1075, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1074, 0, 0, 0,
  1073, 0, 1072, 1071, 0, 0, 0, 0, 1070, 0, 1069, 1068, 0, 0, 1067,
  1066, 0, 1065, 0, 0, 0, 0, 0, 0, 1064, 0, 1063, 1062, 0, 0, 1061,
  1060, 0, 1059, 0, 0, 0, 0, 1058, 1057, 0, 1056, 0, 0, 0, 1055, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 1054, 0, 1053, 1052, 0, 0, 1051, 1050,
  0, 1049, 0, 0, 0, 0, 1048, 1047, 0, 1046, 0, 0, 0, 1045, 0, 0, 0,
  0, 0, 0, 0, 0, 1044, 1043, 0, 1042, 0, 0, 0, 1041, 0, 0, 0, 0, 0,
  0, 0, 1040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  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,
  0, 1027, 0, 0, 0, 1026, 0, 0, 0, 0, 0, 0, 0, 1025, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1024, 1023, 0, 1022,  0,  0,  0,
  1021, 0, 0, 0, 0, 0, 0, 0, 1020, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 1019, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  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,
  0,  0, 0, 999, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 998, 0, 997, 996, 0,
  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,
  0, 0, 0, 0, 984, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,
  0,  0, 983, 0, 982, 981, 0, 0, 980, 979, 0, 978, 0, 0, 0, 0, 977,
  976, 0, 975, 0, 0, 0, 974, 0, 0, 0, 0, 0, 0, 0, 0, 973,  972,  0,
  971, 0, 0, 0, 970, 0, 0, 0, 0, 0, 0, 0, 969, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 968, 967, 0, 966, 0, 0, 0, 965, 0,  0,
  0,  0, 0, 0, 0, 964, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  963, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 962, 0, 961, 960, 0, 0,
  959, 958, 0, 957, 0, 0, 0, 0, 956, 955, 0, 954, 0, 0, 0, 953,  0,
  0,  0, 0, 0, 0, 0, 0, 952, 951, 0, 950, 0, 0, 0, 949, 0, 0, 0, 0,
  0, 0, 0, 948, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  0,  0,  0,  0,
  947,  946,  0, 945, 0, 0, 0, 944, 0, 0, 0, 0, 0, 0, 0, 943, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 942, 0, 0, 0, 0, 0, 0,  0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 941, 940, 0, 939, 0, 0, 0, 938, 0, 0, 0,  0,  0,  0,  0,
  937,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 936, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0,  0, 0, 0, 0, 0, 935, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 934, 0, 0, 0,  933,  0,  932,
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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,
  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,
  7185, 7184, 0, 7183, 0, 0, 0, 7182, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 7181, 0, 0, 0, 7180, 0, 7179, 7178, 0, 0, 0, 0, 7177,
  0, 7176, 7175, 0, 0, 7174, 7173, 0, 7172, 0, 0, 0, 0, 0, 0, 7171,
  0, 7170, 7169, 0, 0, 7168, 7167, 0, 7166, 0, 0, 0, 0, 7165, 7164,
  0,  7163,  0,  0, 0, 7162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7161, 0,
  7160, 7159, 0, 0, 7158, 7157, 0, 7156, 0, 0, 0, 0, 7155, 7154, 0,
  7153, 0, 0, 0, 7152, 0, 0, 0, 0, 0, 0, 0, 0, 7151, 7150, 0, 7149,
  0, 0, 0, 7148, 0, 0, 0, 0, 0, 0, 0, 7147, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7146, 0, 0, 0, 7145, 0,
  7144, 7143, 0, 0, 0, 0, 7142, 0, 7141, 7140, 0, 0, 7139, 7138, 0,
  7137, 0, 0, 0, 0, 0, 0, 7136, 0, 7135, 7134, 0, 0, 7133, 7132, 0,
  7131, 0, 0, 0, 0, 7130, 7129, 0, 7128, 0, 0, 0, 7127, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 7126, 0, 7125, 7124, 0, 0, 7123, 7122, 0, 7121,
  0, 0, 0, 0, 7120, 7119, 0, 7118, 0, 0, 0, 7117, 0, 0, 0, 0, 0, 0,
  0,  0,  7116,  7115, 0, 7114, 0, 0, 0, 7113, 0, 0, 0, 0, 0, 0, 0,
  7112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7111,
  0, 7110, 7109, 0, 0, 7108, 7107, 0, 7106, 0, 0, 0, 0, 7105, 7104,
  0, 7103, 0, 0, 0, 7102, 0, 0, 0, 0, 0, 0, 0, 0,  7101,  7100,  0,
  7099, 0, 0, 0, 7098, 0, 0, 0, 0, 0, 0, 0, 7097, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7096, 7095, 0, 7094, 0, 0, 0, 7093,
  0, 0, 0, 0, 0, 0, 0, 7092, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 7091, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7090,
  0, 0, 0, 7089, 0, 7088, 7087, 0, 0, 0, 0, 7086, 0, 7085, 7084, 0,
  0, 7083, 7082, 0, 7081, 0, 0, 0, 0, 0, 0, 7080, 0, 7079, 7078, 0,
  0, 7077, 7076, 0, 7075, 0, 0, 0, 0, 7074, 7073, 0, 7072, 0, 0, 0,
  7071,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 7070, 0, 7069, 7068, 0, 0,
  7067, 7066, 0, 7065, 0, 0, 0, 0, 7064, 7063, 0, 7062,  0,  0,  0,
  7061, 0, 0, 0, 0, 0, 0, 0, 0, 7060, 7059, 0, 7058, 0, 0, 0, 7057,
  0, 0, 0, 0, 0, 0, 0, 7056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 7055, 0, 7054, 7053, 0, 0, 7052, 7051, 0, 7050, 0,
  0, 0, 0, 7049, 7048, 0, 7047, 0, 0, 0, 7046, 0, 0, 0, 0, 0, 0, 0,
  0, 7045, 7044, 0, 7043, 0, 0, 0, 7042, 0, 0, 0, 0, 0, 0, 0, 7041,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  7040,  7039,  0,
  7038, 0, 0, 0, 7037, 0, 0, 0, 0, 0, 0, 0, 7036, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 7035, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 7034, 0, 7033, 7032, 0, 0, 7031, 7030, 0, 7029, 0,  0,  0,  0,
  7028, 7027, 0, 7026, 0, 0, 0, 7025, 0, 0, 0, 0, 0, 0, 0, 0, 7024,
  7023, 0, 7022, 0, 0, 0, 7021, 0, 0, 0, 0, 0, 0, 0, 7020, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7019, 7018, 0, 7017, 0, 0,
  0, 7016, 0, 0, 0, 0, 0, 0, 0, 7015, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 7014, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7013, 7012, 0,
  7011, 0, 0, 0, 7010, 0, 0, 0, 0, 0, 0, 0, 7009, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 7008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1602,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0,  0,  0,  0, 0, 0, 0, 0, 0, 0, 0, 0, 7007, 0, 0, 0, 0, 0, 0, 0,
  7006, 0, 0, 0, 7005, 0, 7004, 7003, 0, 0, 0, 0, 0, 0, 0, 0, 7002,
  0, 0, 0, 7001, 0, 7000, 6999, 0, 0, 0, 0, 6998, 0, 6997, 6996, 0,
  0, 6995, 6994, 0, 6993, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6992, 0, 0,
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  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,
  31977,  32085,  32103,  32110, 32116, 32186, 32375, 32487, 32585,
  32708, 32725, 32775, 32946, 32955, 33033,  33201,  33212,  33275,
  33292,  33327,  33350,  33418, 33524, 33579, 33620, 33759, 33813,
  33825, 34276, 34317, 34485, 34606, 34684,  34713,  34850,  34914,
  34983,  35035,  35055,  35090, 35150, 35322, 35378, 35525, 35588,
  35650, 35739, 35836, 35875, 35972, 36075,  36125,  36244,  36309,
  36556,  36575,  36822,  36946, 36963, 36975, 37004, 37030, 37076,
  37107, 37191, 37323, 37375, 37444, 37468,  37510,  37518,  37570,
  37791,  37845,  37905,  37975, 38073, 38295, 38318, 38332, 38675,
  38709, 38870, 38950, 38962, 39039, 39325,  39445,  39494,  39525,
  39556,  39627,  39675,  39710, 39875, 39882, 39886, 39897, 39975,
  40052, 40204, 40222, 40293, 40362, 40375,  40455,  40508,  40817,
  40898,  40959,  41070,  41154, 41262, 41325, 41405, 41492, 41503,
  41574, 41745, 41876, 42021, 42050, 42189,  42237,  42284,  42435,
  42476,  42483,  42550,  42625, 42772, 42826, 43095, 43197, 43225,
  43245, 43263, 43732, 43911, 43923, 43953,  44109,  44175,  44198,
  44217,  44252,  44275,  44289, 44506, 44649, 44764, 44770, 44919,
  44950, 44954, 45125, 45254, 45325, 45356,  45387,  45619,  45747,
  45815,  46137,  46475,  46585, 46748, 46893, 46930, 47068, 47125,
  47138, 47150, 47151, 47175, 47212, 47396,  47481,  47619,  47685,
  47804,  48050,  48165,  48279, 48285, 48314, 48334, 48484, 48668,
  48807, 48875, 49010, 49036, 49049, 49077,  49126,  49130,  49419,
  49610,  49735,  49818,  49972, 50025, 50127, 50225, 50286, 50375,
  50430, 50468, 50575, 50578, 50692, 50875,  51129,  51205,  51425,
  51615,  51646,  51842,  51909, 52173, 52234, 52275, 52316, 52325,
  52371, 52390, 52514, 52598, 52635, 52725,  52767,  52972,  52983,
  53067,  53165,  53428,  53475, 53482, 53505, 53613, 53650, 53754,
  53958, 53998, 54145, 54188, 54418, 54549,  54625,  54910,  54925,
  55055,  55223,  55233,  55419, 55506, 55545, 55594, 55796, 55825,
  55924, 56265, 56277, 56355, 56375, 56525,  56637,  57122,  57188,
  57195,  57350,  57475,  57477, 57498, 57681, 57722, 57868, 57967,
  58190, 58305, 58311, 58425, 58443, 58870,  59204,  59241,  59409,
  59450,  59565,  59644,  59675, 59774, 59823, 59829, 60125, 60236,
  60306, 60333, 60515, 60543, 60775, 61132,  61226,  61347,  61364,
  61370,  61605,  61625,  61642, 61659, 61731, 61828, 61893, 61985,
  62271, 62361, 62530, 62678, 62814, 63075,  63175,  63206,  63426,
  63455,  63550,  63825,  63916, 64124, 64141, 64158, 64239, 64467,
  64676, 65065, 65219, 65348, 65366, 65596,  65598,  65702,  65875,
  65975,  66033,  66092,  66125, 66297, 66470, 66625, 66748, 66759,
  66861, 67146, 67155, 67270, 67425, 67431,  67599,  67881,  67925,
  68265,  68306,  68324,  68425, 68450, 68590, 68614, 68770, 68782,
  68875, 68894, 68913, 69003, 69290, 69454,  69575,  69597,  69629,
  69874,  69938,  70315,  70395, 70525, 70587, 70602, 70642, 70707,
  70725, 70805, 71094, 71188, 71225, 71668,  71687,  71825,  71995,
  72075,  72261,  72358,  72471, 72501, 72964, 73002, 73036, 73205,
  73255, 73346, 73515, 73593, 73625, 73689,  73695,  73964,  74415,
  74431,  74698,  74727,  74907, 74958, 75429, 75645, 75803, 75850,
  75867, 76342, 76475, 76874, 76895, 77077,  77121,  77198,  77372,
  77469,  77763,  77996,  78039, 78155, 78166, 78292, 78351, 78585,
  78625, 78771, 78884, 78897, 78925, 79135,  79475,  80073,  80142,
  80223,  80275,  80465,  80475, 80631, 80852, 80937, 80997, 81466,
  81548, 81549, 81627, 82225, 82251, 82365,  82418,  82522,  82654,
  82708,  83030,  83259,  83375, 83391, 83398, 83421, 83486, 83545,
  83810, 84050, 84175, 84249, 84303, 84721,  85514,  85683,  85782,
  85918,  86025,  86247,  86275, 86428, 86515, 86583, 86756, 86779,
  87125, 87172, 87285, 87362, 87412, 87542,  87725,  87875,  88102,
  88305,  88412,  88445,  88806, 88825, 88837, 89001, 89125, 89175,
  89590, 89661, 89930, 90117, 90354, 90364,  90459,  91091,  91143,
  91234,  91839,  92046,  92055, 92225, 92365, 92414, 92463, 92510,
  92575, 93058, 93092, 93275, 93357, 93775,  93795,  93925,  94017,
  94178,  94221,  94622,  94809, 95139, 95325, 95571, 95795, 95830,
  95874, 96026, 96237, 96278, 96425, 96596,  97006,  97175,  97375,
  97405,  97526,  97556,  97682, 98022, 98049, 98394, 98397, 98441,
  98494, 98553, 98716, 98735, 99127, 99275,  99567,  99705,  99715,
  100510,  100555,  100719, 100793, 100905, 101062, 102051, 102245,
  102459, 102487, 102557, 102675, 102885, 102921,  103075,  103155,
  103156,  103173,  103246, 103341, 103675, 103935, 104044, 104181,
  104284, 104690, 104811, 104907, 104975, 105125,  105154,  105183,
  105524,  105710,  105754, 105903, 105963, 106227, 106375, 106641,
  106782, 106930, 107065, 107525, 107559, 107653,  107822,  108086,
  108537,  109089,  109142, 109174, 109330, 109388, 109417, 109503,
  109554, 110019, 110075, 110331, 110495, 110789,  110825,  110946,
  111265,  111476,  111910, 111925, 112047, 112375, 112385, 112406,
  112437, 112651, 113135, 113553, 113775, 114057,  114308,  114513,
  115258,  115292,  115311, 115797, 116058, 116242, 116402, 116522,
  116725, 116932, 116963, 117249, 117325, 117334,  117438,  117670,
  117711,  117845,  117875, 118490, 119119, 119164, 119187, 119306,
  120125, 120175, 120213, 120785, 120802, 120835,  121121,  121670,
  121923,  121975,  122018, 122199, 122525, 122815, 122825, 123025,
  123627, 123783, 123823, 123981, 124025, 124468,  124545,  124558,
  124775,  124930,  125097, 125229, 125426, 125541, 125715, 125829,
  125902, 125948, 126075, 126445, 127075, 127426,  127534,  127738,
  127756,  128018,  128271, 128673, 128877, 128986, 129115, 129311,
  129514, 129605, 130134, 130203, 130585, 130975,  131043,  131118,
  131285,  131313,  131495, 132153, 132158, 132275, 132618, 133052,
  133133, 133209, 133342, 133570, 133705, 134113,  134125,  134162,
  134199,  134385,  134895, 134995, 135014, 135531, 135575, 136045,
  136214, 136325, 136367, 136851, 137275, 137547,  137566,  137924,
  138069,  138229,  138621, 138765, 138985, 139113, 139564, 139587,
  139601, 139638, 140714, 140777, 141267, 141933,  142025,  142228,
  142538,  142766,  142805, 142970, 143143, 143375, 143745, 143811,
  144039, 144279, 144305, 144417, 144925, 145475,  145509,  145521,
  146234,  146289,  146334, 146523, 146566, 146575, 147033, 147175,
  147436, 147591, 147706, 147741, 147994, 148010,  148625,  148666,
  148707,  148925,  149435, 149702, 149891, 150183, 150590, 150765,
  150898, 151294, 151525, 151593, 152218, 152438,  153062,  153065,
  153410,  153425,  153729, 154105, 154652, 154693, 154869, 155771,
  156066, 156325, 156426, 156674, 156695, 157035,  157325,  157339,
  157604,  157731,  158015, 158389, 158565, 158631, 158804, 158875,
  159562, 159790, 160173, 160225, 160395, 161161,  161253,  161414,
  161733,  161975,  162129, 162578, 163370, 163415, 163713, 163761,
  163990, 163995, 164169, 164255, 164331, 164738,  164983,  165025,
  165886,  166175,  166419, 166634, 167042, 167214, 167865, 168175,
  168609, 168674, 169099, 169169, 169756, 170126,  170338,  170765,
  171125,  171275,  171462, 171475, 171535, 171925, 171941, 171955,
  172235, 172546, 172822, 172887, 172975, 173225,  173635,  174087,
  174097,  174363,  174603, 174685, 174783, 174845, 174902, 175491,
  175972, 176001, 176157, 176505, 176605, 177023,  177489,  177735,
  177970,  178126,  178334, 178746, 178802, 178959, 179075, 180154,
  180761, 180895, 181203, 181447, 181917, 182505,  182590,  182666,
  182819,  183027,  183365, 183425, 183483, 183799, 184093, 184382,
  184910, 185725, 186093, 186238, 186694, 186702,  186745,  186837,
  186998,  187187,  187395, 187775, 188108, 188139, 188518, 188853,
  188922, 188993, 189625, 190333, 190463, 190855,  191139,  191301,
  191425,  191607,  191634, 191675, 192027, 192185, 192995, 193325,
  193430, 193479, 194271, 194463, 194579, 194996,  195201,  195415,
  195730,  196075,  196137, 196677, 197098, 197846, 198237, 198927,
  199082, 199927, 200013, 200158, 200355, 200725,  201243,  202027,
  202521,  202612,  203203, 203319, 203522, 203665, 204321, 204425,
  205751, 205942, 206045, 206305, 206349, 206635,  206886,  207214,
  207575,  208075,  208444, 208495, 208658, 208715, 209209, 209457,
  209525, 210125, 210749, 210826, 211071, 212602,  213342,  213785,
  213807,  214149,  214225, 214291, 214455, 214774, 214795, 215747,
  215878, 216775, 216890, 217217, 217341, 217558,  217906,  218405,
  218530,  218855,  219351, 219373, 219501, 219849, 220255, 221030,
  221122, 221221, 221559, 221991, 222015, 222111,  222425,  222999,
  223706,  223975,  224516, 224553, 224825, 224939, 225446, 225885,
  225998, 226347, 226525, 226941, 228085, 228206,  228327,  228475,
  228657,  228718,  228781, 229586, 229593, 229957, 230115, 230318,
  231035, 231275, 231725, 231978, 232101, 232562,  232645,  232730,
  232934,  233206,  233818, 234025, 234099, 234175, 234639, 235011,
  235246, 235445, 235543, 235586, 236406, 236555,  237429,  237614,
  238206,  239071,  239343, 239575, 239685, 240065, 240149, 240526,
  240695, 240737, 240994, 241129, 242121, 242515,  243089,  243815,
  243867,  243890,  244205, 244559, 244783, 245055, 245985, 246123,
  246202, 246235, 247107, 247225, 247247, 248788,  248829,  248897,
  249067,  249158,  249951, 250325, 250563, 250821, 251275, 252586,
  252655, 253011, 253175, 253253, 254634, 255189,  255507,  255626,
  256711,  257193,  258115, 258819, 258874, 259233, 259259, 259325,
  259407, 259666, 260110, 260642, 260678, 260710,  261326,  261443,
  261725,  262353,  262885, 263097, 263302, 264275, 264385, 265475,
  265727, 265837, 266955, 267189, 267197, 267325,  267501,  267674,
  268119,  268203,  269059, 269555, 270193, 270215, 270231, 270802,
  272194, 272855, 272935, 273325, 273581, 273885,  273999,  274022,
  274846,  275684,  276573, 276575, 277365, 277574, 278018, 278179,
  278369, 278690, 279357, 279775, 280041, 280053,  280497,  281015,
  282302,  282777,  283383, 283475, 284053, 284258, 284954, 285131,
  285770, 287287, 287451, 287638, 287738, 288145,  288463,  288827,
  289289,  290145,  290605, 290966, 291005, 291305, 291893, 292175,
  292201, 292494, 293335, 293595, 293854, 294151,  294175,  295075,
  295647,  296225,  296769, 296989, 297910, 298265, 298623, 298775,
  299299, 299367, 300237, 300713, 302005, 303025,  303646,  303862,
  303918,  304175,  304606, 305045, 305283, 305762, 305767, 305942,
  306397, 306475, 307582, 308074, 308357, 308913,  309442,  310329,
  310821,  311170,  311395, 312325, 312666, 312987, 313565, 314019,
  314041, 314171, 314534, 314755, 314870, 315425,  315514,  316239,
  316342,  316825,  317471, 318478, 318565, 318734, 318835, 318903,
  319319, 319345, 319390, 320013, 320045, 322161,  322465,  323449,
  323785,  323817,  324818, 325335, 325622, 325703, 325822, 326337,
  326859, 326975, 327795, 328757, 329623, 330395,  331075,  331177,
  331298,  331545,  331683, 331731, 333355, 333925, 335405, 335559,
  335699, 336091, 336743, 336774, 336973, 337502,  337535,  338169,
  338675,  338997,  339031, 339521, 340442, 340535, 341341, 341446,
  341734, 341887, 342309, 343077, 343915, 344379,  344729,  344810,
  345477,  347282,  347633, 347967, 348725, 348843, 349095, 349401,
  349525, 349809, 350727, 350987, 351538, 351785,  352869,  353379,
  353717,  354609,  355570, 355946, 356345, 356421, 356915, 357309,
  357425, 359414, 359513, 360778, 360789, 361361,  361491,  361675,
  362674,  363562,  364021, 364154, 364994, 365585, 365835, 366415,
  367114, 368039, 369265, 369303, 369985, 370025,  370139,  371665,
  371722,  372775,  373182, 373737, 374255, 375193, 375683, 376475,
  377245, 377377, 378235, 378301, 378879, 378917,  380494,  380545,
  381095,  381938,  381951, 381997, 382075, 382109, 382655, 383439,
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  388311,  388531,  389499, 390165, 390166, 390963, 391017, 391065,
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  397822,  397969,  398866, 398905, 399475, 400078, 400673, 400775,
  401511, 401698, 401882, 402866, 403403, 403535,  404225,  406203,
  406334,  406445,  406802, 406847, 407407, 407827, 408291, 408425,
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  413526,  413678,  414715, 415454, 416361, 416585, 417027, 417074,
  417175, 417571, 417605, 418035, 419881, 421685,  422807,  423243,
  423453,  424390,  424589, 424762, 424879, 425258, 425315, 425546,
  425845, 426374, 426387, 427025, 427063, 427431,  428655,  429598,
  429913,  430606,  431365, 431457, 431607, 432055, 435638, 435953,
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  444925,  445315,  445835, 445991, 446369, 446865, 447005, 447083,
  447146, 447811, 447925, 448063, 450262, 450385,  451451,  453299,
  453871,  454138,  454181, 454597, 455469, 455793, 455877, 456025,
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  460955,  461373,  462111, 462275, 462346, 462553, 462722, 464163,
  465595, 466697, 466735, 466755, 467495, 468999,  469567,  470327,
  471295,  471801,  472305, 472549, 473271, 474513, 474734, 476749,
  477158, 477717, 478101, 479085, 480491, 480766,  481481,  481574,
  482734,  483575,  484561, 485537, 486098, 486266, 487227, 487475,
  487490, 488433, 488733, 489325, 490637, 491878,  492499,  492745,
  493025,  494615,  496223, 496947, 497705, 497798, 498883, 499681,
  500395, 501787, 502918, 503234, 505161, 505325,  506253,  506530,
  507566,  508079,  508277, 508805, 508898, 509675, 510663, 511819,
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  531505,  532763,  533355, 533533, 533919, 535717, 536393, 536558,
  536935, 537251, 539121, 539695, 540175, 541167,  541282,  541717,
  542087,  542225,  542659, 543286, 543895, 544011, 544765, 544825,
  545054, 545343, 546231, 546325, 547491, 548359,  550671,  551614,
  552575,  552805,  555458, 555611, 555814, 555841, 557566, 557583,
  558467, 559265, 559682, 559773, 561290, 562438,  563615,  563914,
  564775,  564949,  564995, 567853, 568178, 569023, 570515, 570741,
  571795, 572242, 572663, 572907, 573562, 573965,  574678,  575795,
  576583,  577239,  578289, 578347, 579945, 580601, 581405, 581529,
  581647, 581825, 582335, 582958, 583015, 583219,  584545,  584647,
  585249,  585599,  587301, 588115, 588965, 590359, 591015, 593021,
  593929, 594035, 594146, 594473, 595441, 595515,  596183,  596733,
  598299,  600117,  600281, 600457, 600691, 601315, 602485, 602547,
  602823, 603725, 603911, 604299, 604877, 605098,  607202,  609501,
  609725,  610203,  612157, 613118, 614422, 615043, 615505, 616975,
  618171, 618233, 620194, 620289, 620517, 620806,  620977,  621970,
  622895,  623162,  623181, 623441, 624169, 625611, 625807, 628694,
  630539, 631465, 633919, 634114, 634933, 636585,  637143,  637887,
  638319,  639065,  639331, 639561, 640211, 640871, 644397, 644725,
  645337, 645909, 647185, 648907, 649078, 649165,  650275,  651605,
  651695,  651775,  651833, 653315, 653429, 653457, 654493, 655402,
  656183, 656903, 657662, 658255, 659525, 659813,  661227,  662966,
  663803,  664411,  665482, 669185, 670719, 671099, 675393, 676286,
  677005, 677846, 680485, 680846, 681207, 682486,  683501,  683675,
  684574,  685055,  685069, 687115, 687242, 687401, 689210, 689843,
  692461, 692714, 693519, 693842, 693935, 694083,  695045,  696725,
  696787,  700553,  700843, 701437, 702559, 702658, 704099, 705686,
  705755, 708883, 709142, 709423, 709631, 710645,  712101,  712327,
  712385,  714425,  715737, 719095, 719345, 720575, 720797, 721149,
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  9872267,  9896047,  9926323, 9965009, 9968453, 9993545, 10013717,
  10044353,  10050791,  10060709,  10083499,  10158731,   10170301,
  10188541,   10193761,  10204859,  10232447,  10275973,  10282559,
  10309819,  10314971,  10316297,  10354117,  10383865,   10405103,
  10432409,   10482433,  10496123,  10506613,  10511293,  10553113,
  10578533,  10586477,  10610897,  10631543,  10652251,   10657993,
  10682755,   10692677,  10737067,  10754551,  10773529,  10784723,
  10891199,  10896779,  10938133,  10991701,  10999439,   11096281,
  11137363,   11173607,  11194313,  11231207,  11233237,  11308087,
  11342683,  11366807,  11386889,  11393027,  11394187,   11430103,
  11473481,   11473589,  11484911,  11506445,  11516531,  11528497,
  11529979,  11560237,  11630839,  11647649,  11648281,   11692487,
  11730961,   11731109,  11758021,  11780899,  11870599,  11950639,
  12005773,  12007943,  12023777,  12041003,  12124937,   12166747,
  12178753,   12179993,  12264871,  12311417,  12333497,  12404509,
  12447641,  12488149,  12511291,  12540151,  12568919,   12595651,
  12625991,   12664619,  12689261,  12713977,  12726523,  12750385,
  12774821,  12815209,  12823423,  12836077,  12853003,   12871417,
  12888227,   12901781,  12999173,  12999337,  13018667,  13055191,
  13119127,  13184083,  13306099,  13404989,  13435741,   13438339,
  13482071,   13496749,  13538041,  13590803,  13598129,  13642381,
  13707797,  13739417,  13745537,  13759819,  13791559,   13863863,
  13895843,   13902787,  13955549,  13957343,  13990963,  14033767,
  14088461,  14128805,  14200637,  14223761,  14329471,   14332061,
  14365121,   14404489,  14466563,  14471699,  14537411,  14575951,
  14638717,  14686963,  14742701,  14854177,  14955857,   14967277,
  15060079,   15068197,  15117233,  15145247,  15231541,  15247367,
  15320479,  15340681,  15355819,  15362659,  15405791,   15464257,
  15523091,   15538409,  15550931,  15581189,  15699857,  15735841,
  15745927,  15759439,  15878603,  15881473,  15999503,   16036207,
  16109023,   16158307,  16221281,  16267463,  16360919,  16398659,
  16414841,  16460893,  16585361,  16593649,  16623409,   16656623,
  16782571,   16831853,  16895731,  16976747,  16999133,  17023487,
  17102917,  17145467,  17218237,  17272673,  17349337,   17389357,
  17437013,   17529601,  17546899,  17596127,  17598389,  17769851,
  17850539,  17905151,  17974933,  18129667,  18171487,   18240449,
  18285733,   18327913,  18378373,  18457339,  18545843,  18588623,
  18596903,  18738539,  18809653,  18812071,  18951881,   18999031,
  19060859,   19096181,  19139989,  19424693,  19498411,  19572593,
  19591907,  19645847,  19780327,  19805323,  19840843,   19870597,
  19918169,   20089631,  20262569,  20309309,  20375401,  20413159,
  20452727,  20607379,  20615771,  20755039,  20764327,   20843129,
  20922427,   20943073,  21000733,  21001829,  21160633,  21209177,
  21240983,  21303313,  21688549,  21709951,  21875251,   21925711,
  21946439,   21985799,  22135361,  22186421,  22261483,  22365353,
  22450231,  22453117,  22619987,  22772507,  22844503,   22998827,
  23207189,   23272297,  23383889,  23437829,  23448269,  23502061,
  23716519,  24033257,  24240143,  24319027,  24364093,   24528373,
  24584953,   24783229,  24877283,  24880481,  24971929,  24996571,
  25054231,  25065391,  25314179,  25352141,  25690723,   25788221,
  25983217,   26169397,  26280467,  26480567,  26694131,  26782109,
  26795437,  26860699,  26948111,  26998049,  27180089,   27462497,
  27566719,   27671597,  27698903,  27775163,  27909803,  27974183,
  28050847,  28092913,  28306813,  28713161,  28998521,   29343331,
  29579983,   29692241,  29834617,  29903437,  29916757,  30118477,
  30259007,  30663121,  30693379,  30927079,  30998419,   31083371,
  31860737,   31965743,  32515583,  32777819,  32902213,  33059981,
  33136241,  33151001,  33388541,  33530251,  33785551,   33978053,
  34170277,   34270547,  34758037,  35305141,  35421499,  35609059,
  35691199,  36115589,  36321367,  36459209,  36634033,   36734893,
  36998113,   37155143,  37438043,  37864361,  37975471,  38152661,
  39121913,  39458687,  39549707,  40019977,  40594469,   40783879,
  40997909,   41485399,  42277273,  42599173,  43105703,  43351309,
  43724491,  43825351,  44346461,  45192947,  45537047,   45970307,
  46847789,   47204489,  47765779,  48037937,  48451463,  48677533,
  49140673,  50078671,  50459971,  52307677,  52929647,   53689459,
  53939969,   54350669,  55915103,  57962561,  58098991,  58651771,
  59771317,  60226417,  61959979,  64379963,  64992503,   66233081,
  66737381,   71339959,  73952233,  76840601,  79052387,  81947069,
  85147693, 87598591, 94352849, 104553157
  };


  short  values[] = {
  166, 322, 165, 310, 164, 2467, 154, 2466, 163,  3325,  321,  162,
  3324,  2464,  2401,  161,  2465, 3314, 160, 2461, 159, 2400, 320,
  3323, 153, 2457, 6185, 2463, 3303, 2452,  158,  3322,  157,  298,
  2460,  2446,  152,  3292, 156, 2398, 3321, 2462, 5965, 155, 6184,
  309, 2456, 3320, 2439, 3313, 2395, 2459, 2431, 2335, 2451,  6181,
  3319,  3281,  2422, 151, 2391, 2445, 6183, 2399, 2455, 319, 3291,
  2412, 5964, 6175, 2386, 3318, 5745, 150, 2450, 6180, 3312,  3317,
  297,  6165,  2458,  2438, 5961, 2430, 2380, 142, 2444, 3311, 308,
  3316, 318, 286, 149, 6150, 5963, 6174, 3259,  5525,  3315,  2421,
  2397,  2454, 5955, 148, 6182, 2373, 3302, 6164, 2437, 5960, 2411,
  5744, 2449, 2365, 3310, 5945, 6178, 2429, 6129, 2334, 2394, 2453,
  6179,  6101,  147, 141, 3309, 6149, 5741, 2448, 2356, 2443, 3215,
  2269, 5930, 2420, 2396, 5954, 3290, 3248, 3280, 2346, 6065, 6172,
  2390,  2410,  3308, 317, 146, 6173, 2442, 5944, 3258, 6128, 3270,
  2393, 6020, 3301, 6162, 145, 3289, 5735, 2436, 2385, 5958,  2447,
  6100,  5909, 2333, 6169, 6163, 2428, 2332, 5881, 5725, 6177, 316,
  5929, 3307, 3300, 6159, 144, 2435, 6147, 3204, 285,  3306,  2379,
  6064,  2441,  2389, 6148, 2427, 5524, 2329, 2419, 307, 143, 5845,
  3288, 5952, 3214, 3257, 2268, 6019, 5710, 5962, 3160, 2440, 6144,
  2384, 2409, 5305, 5908, 3269, 5800, 3305, 3287, 6171, 5942, 5521,
  3299, 6126, 2418, 5743, 2392, 6155, 5880, 2372, 2434, 5949, 6176,
  6127,  6098, 5959, 3304, 2331, 6161, 2364, 2426, 315, 2325, 2408,
  3298, 3094, 6099, 2378, 5689, 140, 2433, 6168, 5939, 3286,  6123,
  5740,  5927,  306, 5661, 5844, 6140, 2425, 3213, 2320, 130, 6095,
  3279, 2328, 6062, 6158, 2355, 5515, 2417, 2388, 6146, 5085, 5304,
  2267,  5799, 3297, 6063, 3149, 6170, 6135, 274, 2432, 5953, 5924,
  5523, 6017, 3247, 2371, 2345, 5625, 2407, 5505, 2416, 2383, 3285,
  2424, 3278, 6018, 5906, 2314, 6059, 5742, 3159, 5935, 6160, 2363,
  6119, 5734, 2387, 6143, 5943, 3237, 3284, 296, 5878, 5580,  6167,
  2406, 3256, 6091, 3017, 5520, 2324, 6125, 6014, 5957, 6154, 3083,
  3296, 6114, 5724, 2382, 314, 5490, 5903, 2415, 6097, 5739,  2377,
  139,  6157, 3295, 2354, 5920, 6086, 6145, 5084, 2319, 5738, 2423,
  129, 3093, 5928, 2307, 3283, 5875, 5842, 3212, 3277, 6122,  2405,
  2266,  6055,  3203, 3246, 313, 2344, 2299, 305, 6139, 5915, 2203,
  6108, 3282, 5709, 6094, 2376, 5522, 3158, 5797, 138, 6061,  3255,
  3294, 5514, 6010, 6142, 3276, 5951, 6050, 3193, 5303, 5469, 6080,
  284, 2414, 2370, 2313, 5839, 4865, 2381, 6134, 262,  5899,  2263,
  5733, 6124, 5956, 6016, 6153, 3236, 5441, 5907, 2413, 3254, 2362,
  3293, 2290, 5504, 6005, 5732, 5941, 5301, 5871, 2404, 3006, 6096,
  5519,  5794, 6058, 2330, 6166, 304, 5879, 6118, 5894, 5948, 5723,
  2929, 3092, 3275, 5688, 2403, 2369, 6044, 2280, 5722, 6090, 6121,
  2375,  3016, 5866, 137, 3202, 6013, 5737, 6073, 4645, 5660, 6156,
  2306, 5405, 2361, 6138, 312, 2353, 6113, 5729, 5938, 3253,  5081,
  5489, 6093, 5999, 2265, 5835, 2327, 5926, 6060, 3211, 2830, 2298,
  5843, 2259, 6085, 5950, 2374, 5083, 3226, 136,  273,  128,  5888,
  5360, 5708, 2402, 4864, 2343, 6133, 5295, 5719, 5513, 5790, 6054,
  6015, 5707, 5830, 3192, 5302, 3157, 3274, 5860, 3210, 6037, 5798,
  5624, 2352, 3148, 2254, 6141, 5940, 2137, 2202, 2368, 6107, 2262,
  311, 5923, 6057, 3268, 3273, 6029, 5285, 6117, 2289, 5947,  6009,
  5503, 5518, 5785, 5731, 3252, 6049, 3245, 5468, 6152, 2360, 6079,
  5992, 303, 5579, 5905, 135, 2342, 3138, 5934, 6089,  3015,  2323,
  2367,  6012, 5704, 3251, 3156, 295, 2918, 4644, 5440, 5687, 5984,
  5824, 5877, 2279, 6112, 3209, 5937, 6004, 5721, 5300, 2248, 4425,
  3091, 2359, 3267, 5925, 5686, 5715, 5853, 3082, 5659, 3272, 2720,
  6084, 3182, 5728, 6120, 2318, 5270, 3201, 6151, 2928, 5488, 5902,
  5779, 2351, 6043, 5658, 6137, 5075, 2819, 2258, 5919, 6053, 6092,
  5082, 3225, 2326, 3250, 6072, 2366, 3072, 3271, 134, 5404,  5874,
  5975, 3147, 5841, 5512, 3244, 5718, 5080, 2200, 6106, 3090, 2341,
  5922, 5683, 5998, 2264, 5706, 2350, 4861, 2829, 6132, 2358, 5065,
  5817,  133,  5623,  6008, 5700, 2253, 3208, 250, 5914, 6048, 261,
  3249, 2241, 6078, 2201, 5359, 5904, 2312, 5655, 2599, 4863, 5796,
  6136, 5933, 5622, 5502, 5294, 5809, 3243, 3266, 3207, 5517, 2340,
  5249, 294, 6056, 3235, 2233, 5467, 5772, 6036, 5876, 5578,  5838,
  5509, 3137, 6116, 6003, 5695, 5946, 3155, 2136, 5298, 5898, 4424,
  2261, 5703, 5221, 4855, 5577, 302, 6131, 3081, 5439, 5764,  6028,
  2349,  5284, 132, 6088, 3265, 3014, 5050, 2322, 6011, 2927, 5299,
  2247, 5870, 5901, 5991, 3005, 4641, 6042, 5685, 5793, 5619, 5499,
  5714, 6111, 2357, 5936, 3089, 5918, 2709, 5679, 5487, 5893, 3181,
  3206, 5736, 3242, 6071, 4205, 4643, 2305, 2224, 5873, 5983, 2339,
  5657,  131,  6115, 5840, 3200, 6083, 301, 5078, 2317, 5651, 5997,
  127, 2995, 5865, 3154, 5574, 5185, 2828, 3071, 2297, 5403,  5755,
  2719,  6087, 238, 5511, 3013, 5913, 5674, 2321, 6052, 3205, 5269,
  5079, 2199, 2214, 4635, 3264, 5682, 5834, 3127, 5795, 3146, 6110,
  5074,  5292, 3985, 3199, 2348, 2257, 118, 5484, 5699, 6105, 5029,
  5646, 2071, 3191, 5921, 3224, 6130, 5140, 2240, 5887, 6035, 5358,
  5654, 2588, 5837, 5974, 4862, 5621, 6082, 6007, 5501, 2134, 5293,
  2316, 6047, 2347, 5897, 126, 5466, 5789, 6077, 5001, 5615,  3241,
  2311, 5829, 5495, 4860, 2232, 5932, 5859, 2338, 5064, 6027, 5282,
  2288, 5508, 2252, 6051, 5730, 5694, 4845, 2135, 5297, 5869, 3088,
  272,  5990, 3004, 5668, 5438, 3153, 5792, 2598, 3240, 3145, 5576,
  6002, 2337, 5283, 2197, 6104, 5892, 5570, 4421, 3198, 5516, 5784,
  5248, 5610, 4204, 3061, 3263, 5982, 5640, 3080, 3152, 2278, 3012,
  5618, 293, 6006, 5498, 6046, 5720, 4625, 5463, 300,  5678,  2926,
  4423, 6076, 5864, 5486, 5900, 2310, 6041, 6109, 5220, 4965, 4854,
  5931, 2917, 4642, 3262, 2223, 5823, 5480, 2718, 5727, 5917, 5049,
  5565, 5267, 5077, 3234, 2246, 5435, 5650, 6070, 5833, 2994, 4640,
  2304, 4830, 5402, 5872, 5573, 6081, 3011, 5072, 3239, 3984, 2315,
  5852,  6001, 125, 3171, 2336, 3765, 2005, 4415, 5673, 3180, 5996,
  283, 4920, 5268, 3087, 5886, 2907, 2213, 3079, 2827, 5778,  5973,
  3126, 5604, 2296, 3151, 5475, 5073, 5291, 5717, 2818, 5912, 2925,
  5788, 117, 5483, 3197, 5645, 5357, 249, 6040, 5705,  5828,  4858,
  3238,  3086,  5184, 5858, 5633, 5062, 292, 2193, 3261, 6103, 299,
  124, 5916, 5510, 2133, 3190, 2198, 6069, 5465, 4634, 2597,  2303,
  5399, 5559, 3196, 5614, 6034, 3150, 5494, 5836, 4859, 6045, 2808,
  5063, 5281, 5816, 5459, 2131, 6075, 226, 5896, 2309, 5028,  5995,
  2260, 5783, 5246, 2070, 3144, 5139, 2239, 4610, 2826, 5667, 5437,
  3260, 4809, 2295, 3545, 6026, 3136, 2188, 6102, 2287, 5911, 5500,
  3233, 5808, 5431, 2984, 2196, 5868, 5354, 5569, 5989, 5702, 3003,
  5000, 5218, 4852, 5247, 5609, 5791, 6000, 2916, 3060, 2231, 3085,
  5639, 5289, 5771, 5822, 5597, 4781, 4405, 5454, 5507, 6074, 5047,
  5891, 2308, 4844, 260, 5296, 123, 3078, 5462, 4201,  4422,  4638,
  6033,  5684, 5981, 5219, 3195, 4853, 2277, 5713, 5851, 106, 2924,
  5763, 5589, 3232, 5479, 3764, 5895, 5426, 6039, 282, 4420,  5048,
  5863, 5564, 5266, 4203, 3084, 5434, 5777, 5552, 4639, 6025, 5656,
  5279, 3143, 5401, 2286, 2717, 4390, 5071, 5497, 2817, 5726, 6068,
  2182,  3170, 3010, 4624, 2708, 2302, 5395, 5867, 237, 5988, 3002,
  5485, 5832, 3194, 4964, 5182, 4589, 2906, 3070, 5069, 3981, 2222,
  5544,  5603, 2923, 5994, 2256, 4745, 5474, 5890, 6038, 5076, 271,
  2825, 5448, 3009, 4195, 4632, 2294, 5681, 5885, 5980, 291,  5356,
  4829, 2276, 5972, 4857, 5910, 4561, 5183, 3983, 5632, 5061, 5815,
  2192, 5716, 5754, 5350, 6067, 5698, 2698, 2004, 5026, 4414, 2068,
  2301,  5390, 5862, 5787, 4919, 5137, 3231, 5827, 122, 5420, 3116,
  2212, 4633, 5653, 5857, 3544, 5059, 5398, 5558, 3125, 4700, 2716,
  5620, 5993, 2251, 3189, 5290, 2807, 5807, 5264, 5458, 2130, 6032,
  1939, 2824, 116, 5482, 4998, 5027, 5831, 2293, 5245, 2069,  2596,
  5138,  121, 2127, 3077, 5770, 3975, 3142, 2587, 2255, 5535, 2187,
  5345, 5693, 4842, 2132, 3223, 5782, 2175, 2922, 5430, 2983, 6024,
  5884, 5464, 5275, 3008, 5353, 4999, 2285, 5217, 5971, 4851, 5575,
  5493, 3135, 5762, 4525, 5288, 3188, 5280, 5596, 3141, 5987, 3001,
  5453, 4418, 6031, 5786, 5046, 5701, 5826, 4843, 2896, 2167, 4849,
  6066, 4609, 2915, 2300, 4637, 5384, 5856, 2122, 5436, 4808, 2577,
  5617,  5821, 5889, 2250, 5044, 105, 4185, 4622, 5588, 2707, 5677,
  5979, 2195, 5425, 3007, 2245, 2275, 6023, 4419, 3050, 2595, 4962,
  3230,  2284, 5413, 4202, 2823, 3059, 4480, 5712, 120, 5850, 2292,
  5551, 4780, 5278, 4404, 5861, 3761, 5986, 3000, 3179, 5781, 5243,
  2181, 4369, 4623, 5649, 5461, 5339, 5394, 4200, 2993, 4827, 2715,
  5572, 5776, 3229, 4963, 3134, 5181, 2797, 3076, 5260, 5068, 2816,
  5543, 5753, 5478, 3763, 4170, 2002, 3140, 4412, 5672, 5978, 4917,
  3187, 2274, 5265, 5215, 214, 3105, 3965, 5447, 4341,  2914,  119,
  2158,  4631, 6030, 5433, 281, 3069, 5820, 4828, 5400, 4389, 5070,
  3075, 3222, 3982, 2116, 5883, 3169, 5349, 115, 2244, 2697,  2003,
  5025, 5644, 4413, 5970, 2067, 4629, 5389, 5680, 4918, 2714, 5136,
  2921, 4588, 5419, 3115, 5711, 290, 5377, 5849, 6022, 3980,  5255,
  2586,  5058, 5814, 2283, 3139, 3755, 4744, 5473, 5697, 5825, 259,
  5023, 2065, 5263, 5855, 2148, 5055, 4194, 5985, 2238, 225,  3950,
  4997, 5613, 5775, 5355, 2249, 5652, 3541, 4856, 2822, 4560, 3228,
  2126, 2291, 5060, 5369, 2815, 3221, 2191, 5806, 5534, 5882, 2594,
  5344, 4995, 5969, 4841, 2174, 4149, 4607, 5179, 5332, 5666, 5977,
  2230, 5274, 3068, 4806, 4305, 3543, 5769, 5397, 2273, 4699, 5506,
  202,  5780,  5239, 289, 5692, 3074, 5457, 4839, 2129, 2194, 1938,
  5854, 5568, 3039, 4417, 3186, 5244, 248, 5608, 2895,  2166,  280,
  4848, 3227, 2920, 4608, 5324, 5638, 3974, 5383, 2121, 4778, 5813,
  4807, 5761, 4402, 2713, 2576, 2186, 5696, 2109, 5211, 2061, 2593,
  2973, 5043, 2913, 4621, 5134, 5429, 2237, 4198, 2982, 4260, 5819,
  5352, 3185, 3049, 3535, 5216, 4961, 4850, 5412, 5040, 5616, 3929,
  6021, 5496, 3073, 5234, 4524, 5287, 2243, 2282, 2687, 5805, 4779,
  4403, 5452, 4619, 2706, 5676, 5045, 2101, 5563, 3220, 5242, 3133,
  5848, 4959, 2919, 2999, 2229, 5338, 4199, 4636, 5768, 5968, 4826,
  2221, 3745, 4387, 3178, 2796, 5259, 5691, 2821, 5206, 4835,  104,
  4184, 3168, 2281, 3762, 2912, 2001, 5774, 5424, 4411, 5648, 2992,
  4916, 5818, 4824, 5214, 1873, 3104, 4586, 5571, 2814, 2905, 5976,
  2998, 5035, 2157, 3978, 4479, 2272, 5315, 5760, 5602, 5277, 4742,
  2242, 5752, 3760, 4388, 1999, 4409, 5671, 2115, 5175, 4914, 4192,
  2180, 4368, 3067, 5847, 5393, 2592, 2211, 4628, 3124, 3730, 3184,
  4121, 4558, 5180, 4587, 5631, 3177, 2820, 5376, 5067, 2190, 3979,
  5254, 2712, 2271, 4615, 4169, 2705, 5675, 4743, 5481, 5773, 5228,
  5022, 5643, 2064, 2092, 3964, 5446, 2147, 5054, 4340, 4193, 5812,
  4630,  2813,  2566, 2220, 5557, 4697, 3132, 2585, 5019, 94, 3901,
  4559, 2806, 5368, 5130, 2236, 2128, 2711, 5170, 1936, 5348,  288,
  5647,  3525, 236, 5024, 2991, 3219, 2066, 5388, 5200, 4820, 4994,
  5612, 3183, 5135, 2911, 5492, 4606, 5178, 5418, 5331, 3114, 3972,
  5804, 5967, 4805, 2997, 3542, 5057, 2185, 5751, 4698, 3754, 4991,
  1995, 1807, 2962, 5238, 5670, 2082, 2228, 5262, 4838, 279,  5767,
  1937, 3949, 4604, 2210, 3038, 4996, 5665, 5811, 3218, 3123, 4803,
  3540, 5690, 5846, 5014, 2056, 4085, 2125, 5323, 4522, 5286, 3973,
  5595,  5966, 4777, 5125, 4401, 3709, 2235, 2270, 114, 3176, 5343,
  2108, 5210, 5642, 2060, 3510, 5567, 2972, 4840, 2173, 5607, 4148,
  5133, 4197, 5759, 3058, 2591, 2996, 5273, 4304, 5637, 5803, 2584,
  4775, 4399, 5039, 2812, 4986, 103, 5233, 4182, 4523, 5587,  2686,
  2227,  4618, 190, 5460, 5766, 2885, 4416, 2100, 5611, 5491, 5164,
  2894, 2165, 4958, 4847, 4040, 4477, 3066, 5550, 2590, 5382, 3028,
  2120,  5276, 2704, 3131, 287, 5477, 3758, 4386, 4955, 3865, 5042,
  5205, 4834, 5562, 2179, 4183, 4366, 4620, 2219, 4600, 5664, 4259,
  5432,  5758, 5193, 4799, 3048, 3534, 4960, 4823, 3217, 213, 4585,
  5411, 3928, 4384, 5066, 5034, 3977, 4478, 5810, 5542, 5314, 4167,
  3130,  2710, 4741, 2990, 270, 5008, 3759, 2050, 1998, 5566, 4408,
  5241, 5119, 5174, 5606, 4913, 3962, 2234, 4338, 4191, 3057, 4367,
  4583, 5337, 2904, 5636, 3489, 5750, 2786, 4825, 3744, 4771, 1990,
  4395, 5601, 2703, 5669, 2910, 4557, 4739, 2795, 5472, 4910, 3820,
  5258, 5802, 4950, 3681, 2209, 4614, 2696, 4168, 2000, 3175, 4189,
  4410, 247, 4980, 2218, 5227, 4915, 3216, 5213, 2091, 1872,  3103,
  2226, 3113, 3963, 4339, 5765, 4555, 2156, 2565, 5630, 5056, 2589,
  4696, 113, 5476, 3752, 5018, 5641, 93, 2811,  2989,  4815,  2114,
  5129, 5561, 5261, 3645, 5169, 1935, 3947, 3174, 2583, 4627, 5199,
  3538, 4819, 5396, 5556, 5749, 5157, 3729, 82, 4694,  4120,  4380,
  2124,  3065, 3971, 5375, 5757, 4905, 2805, 5253, 5533, 5456, 258,
  3753, 4990, 2208, 3129, 1994, 1933, 201, 2961, 3122, 5021,  2172,
  2063, 2081, 4146, 4579, 2146, 5053, 2903, 5272, 3948, 4603, 4302,
  3969, 178, 4802, 5600, 3539, 5149, 4735, 112, 5471,  3900,  5013,
  3064, 2055, 2909, 4521, 5367, 4595, 5124, 2702, 5663, 5428, 2874,
  2043, 2981, 3524, 5351, 2582, 4944, 5112, 4993, 278, 2164,  4846,
  4147, 4605, 4551, 5177, 5330, 2217, 5629, 2119, 3461, 4804, 4303,
  4519, 2189, 2575, 5594, 4774, 3128, 4398, 5451, 1806, 5237, 4985,
  5605,  5041, 5801, 4181, 3056, 4837, 5635, 4257, 4973, 1741, 224,
  2035, 3037, 2884, 2951, 3047, 3532, 3173, 5555, 5104, 4690, 2225,
  5163, 3926, 2908, 4476, 4084, 5322, 2804, 3425, 3027, 4776, 5748,
  5455, 102, 4179, 4400, 3708, 5586, 1984, 3757, 1929, 5662,  5423,
  4794, 2107, 4899, 5209, 4954, 5240, 2059, 3509, 2810, 2971, 4365,
  5132, 2207, 4196, 4599, 2775, 4258, 4474, 3121, 3742, 5192, 4798,
  5549,  3533, 2184, 277, 5038, 5560, 5257, 2676, 3927, 4383, 5756,
  5232, 3063, 2685, 4166, 5427, 235, 111, 3600, 2980,  4363,  4617,
  5007, 5634, 2049, 5392, 3172, 4766, 2099, 5212, 1870, 4375, 3102,
  5118, 3961, 4957, 4337, 2155, 4039, 4582, 4515, 3167, 2581, 5593,
  2785, 3743, 4770, 5541, 1989, 4394, 5450, 4164, 4385, 4738, 4909,
  2113, 2809, 3864, 4574, 5204, 4949, 4833, 2701, 2902, 3959, 5445,
  4335, 4188, 4626, 4979, 5599, 4937, 2026, 5470, 3727, 4118, 4822,
  1871, 4584, 5095, 2216, 5033, 4554, 3976, 3062, 5252, 5313, 4175,
  5585, 3380, 3751, 4740, 5422, 5347, 2695, 1997, 5020, 4407, 2062,
  4814, 5387, 4546, 5173, 4912, 2940, 2700, 2145, 5628, 5052, 4190,
  3946,  2988, 5417, 269, 4470, 4788, 5548, 3488, 4929, 3537, 3166,
  5156, 3728, 3898, 81, 4693, 4119, 3749, 4556, 4379,  2215,  3819,
  4904, 5747, 3680, 1977, 2178, 4359, 4613, 2901, 3522, 5391, 5554,
  1932, 3944, 4892, 2016, 4992, 5226, 5598, 4145, 4730, 2090, 2555,
  3055, 5176, 2206, 4578, 2803, 2987, 3120, 2123, 4301, 2564, 4760,
  3968, 5540, 1675, 1924, 4695, 4160, 5148, 5017, 4734, 1804, 5532,
  5236,  92,  3899,  5342, 5128, 4836, 5746, 4594, 3644, 110, 3955,
  5444, 1969, 5168, 4143, 1934, 4331, 2873, 5627, 3036, 2042, 3523,
  4884, 2183, 4299, 5198, 4943, 5111, 4818, 4082, 2205, 4550, 3970,
  2580, 3119, 2979, 4518, 3706, 5346, 2694, 4989, 1993, 2106, 5208,
  1805, 2960, 2058, 3507, 5386, 5553, 2970, 4685, 2080, 5131, 2893,
  109, 4510, 5416, 3112, 4256, 4972, 189, 5592, 2802,  4602,  2034,
  2950, 5381, 3531, 5449, 2118, 4801, 5103, 4689, 2574, 1918, 5037,
  2665, 3925, 5012, 5231, 2054, 4083, 4520, 2579, 276, 3165,  5123,
  4178, 3707, 4616, 1983, 1928, 3940, 2098, 4254, 4793, 4898, 3508,
  268, 3529, 4956, 4568, 4037, 2900, 5410, 101, 2863,  3923,  2774,
  5584, 3460, 4473, 3741, 2986, 5421, 4724, 2978, 4773, 5531, 4397,
  5341, 2675, 4984, 3862, 5203, 4832, 4180, 2171, 4139, 4465, 2699,
  5547, 4362, 1740, 1960, 5271, 5336, 2883, 4295, 5591, 4765, 4821,
  3739, 1869, 4374, 4875, 3054, 4540, 5162, 5626, 5032, 4038, 2794,
  4475, 4753, 2204, 2177, 4514, 3424, 4354, 3026, 3118, 3756, 4163,
  1996, 4406, 4953, 5172, 3863, 4911, 4573, 2892, 2163, 1867, 4364,
  3101,  3958,  4598, 5539, 4334, 3486, 108, 5380, 2985, 100, 4155,
  5191, 4936, 4797, 5583, 4679, 2025, 3726, 2573, 4117, 3053, 5094,
  3817, 2801, 4382, 2764, 5443, 3678, 2112, 4326, 4174, 4612, 4165,
  70, 2578, 3599, 1950, 5006, 4250, 5546, 5225, 2048,  3046,  2544,
  2089, 5117, 4545, 3960, 3724, 5409, 2939, 4115, 4336, 3919, 4581,
  275, 4469, 4787, 5374, 3487, 3117, 2784, 4928, 2176, 2693,  4769,
  4348,  1988,  5016, 4393, 91, 3897, 5385, 3748, 4737, 4908, 5127,
  3818, 3164, 5415, 4948, 3642, 246, 5167, 3679, 223,  1976,  4358,
  3521,  107, 5051, 5335, 4187, 4978, 3943, 4891, 5538, 5197, 2015,
  4817, 3735, 2852, 4729, 212, 2554, 2793, 3895, 4504, 5256,  4553,
  5590,  4759, 5366, 4717, 177, 1923, 3935, 5442, 3379, 3750, 4320,
  4159, 4988, 1992, 1803, 2959, 3519, 2079, 4813, 3163, 1863,  257,
  3643, 3954, 1968, 4142, 3945, 4601, 4330, 2154, 5329, 4883, 5530,
  4800, 4298, 3536, 5340, 4533, 5155, 2692, 80, 4692,  2899,  5011,
  4378,  2053,  4081, 3052, 1801, 2170, 99, 4134, 4903, 5582, 5122,
  3705, 4709, 5414, 3111, 4290, 1931, 3506, 3035, 4684, 3720, 4144,
  4111, 4577, 4459, 4509, 3458, 5373, 5545, 4079, 4300, 5321, 3967,
  4672, 5251, 1674, 4772, 4396, 3703, 1917, 2753, 5147, 2664, 4733,
  2800,  4983, 2891, 2105, 2162, 2057, 3504, 267, 1911, 4593, 5379,
  1738, 2144, 2117, 2872, 3939, 2882, 2041, 2572, 4253, 4942, 5110,
  5529, 5161, 3528, 4567, 4036, 3891, 3051, 5036, 4549, 2862, 3922,
  3422, 3025, 5365, 5537, 3459, 2169, 4517, 4664, 4128, 4245, 4723,
  2684,  3045, 3515, 4284, 4952, 200, 3861, 5408, 2097, 3914, 2977,
  1903, 4138, 4464, 4597, 3162, 5328, 4034, 4255, 4971, 1739, 1959,
  5190, 2033, 4796, 4294, 2949, 3530, 3738, 5102, 4874, 4688, 4539,
  3924, 4381, 1797, 4497, 5235, 2898, 4752, 3423, 3859, 4353, 2890,
  2161, 4831, 5334, 3597, 4177, 2691, 1982, 5005, 1927, 2047, 2654,
  5378, 256, 4792, 4897, 2571, 5116, 2792, 2976, 3110, 1866,  4580,
  4075, 5320, 3485, 2773, 5031, 2783, 4472, 3740, 4154, 4768, 1987,
  4678, 5312, 4392, 3699, 4736, 4239, 4907, 3816, 4489,  2674,  98,
  5207,  1858,  234, 245, 3500, 5581, 4947, 2969, 2763, 3677, 4325,
  5407, 2153, 3161, 69, 3908, 4186, 3598, 4977, 1949,  4361,  4249,
  3483, 4764, 2543, 1868, 4373, 3723, 4452, 2111, 4114, 4552, 3918,
  2897, 5230, 3814, 4513, 3377, 2683, 5528, 3675, 4347, 4655, 4611,
  5333,  4162,  4812, 3715, 97, 4106, 2168, 2799, 2841, 4572, 3641,
  5372, 2088, 2791, 4030, 3957, 5250, 1894, 4333, 2563, 4935, 3734,
  5154,  2024,  3725, 2851, 79, 4691, 4116, 4377, 5015, 4444, 5093,
  90, 3894, 5536, 4902, 4503, 3855, 5202, 1852, 2143,  3100,  4173,
  4716, 3934, 3378, 3639, 4319, 2152, 1930, 3518, 3886, 2889, 2160,
  4816, 4313, 1862, 4544, 4576, 2938, 5364, 2975, 2110, 3966, 4468,
  4786, 1672, 5311, 2570, 4927, 5146, 2533, 4732, 4532, 3896, 3747,
  4987, 1991, 1800, 2958, 2798, 4133, 4592, 2643, 5171, 5327, 4100,
  2078, 2690, 4708, 1975, 2871, 4357, 2040, 1884, 4289, 5371, 3520,
  3942, 3044, 4890, 3479, 4941, 5109, 2014, 1792, 5406, 3109, 3719,
  4728, 2742, 4110, 2553, 4548, 4458, 3457, 5010, 3810, 2052, 4078,
  4516, 4758, 4671, 3671, 1673, 1922, 2142, 3034, 4158, 3702, 2752,
  1802,  5224,  3503, 96, 4070, 1910, 5319, 3880, 2689, 3953, 2974,
  1967, 4970, 1737, 4141, 4329, 2032, 5363, 2948, 3694, 2562, 3455,
  4882,  4297,  5101, 4687, 2790, 2104, 3108, 89, 3495, 3890, 2968,
  4080, 3421, 4982, 4435, 5126, 5527, 4176, 4663, 3704, 4127, 3635,
  1981, 5166, 4244, 5326, 1926, 1735, 3514, 4791, 4896, 4283, 3505,
  266, 5196, 1845, 3099, 4683, 3913, 1902, 1786, 2151, 5229,  4277,
  4508,  2772, 4033, 4471, 2682, 3419, 3024, 1916, 2663, 2096, 233,
  2673, 1796, 4496, 255, 4951, 95, 4025, 3858,  5526,  3596,  4360,
  4064,  5318, 3938, 2653, 4596, 4763, 4252, 211, 4372, 3688, 2159,
  4795, 4093, 3527, 4566, 4035, 3850, 5370, 2103, 5201, 2051, 4269,
  4074, 2522, 2861, 4512, 3921, 2967, 2569, 5121, 3698, 4722, 4161,
  3594, 4238, 5004, 4488, 2046, 1857, 3860, 3499, 4571, 2141, 5030,
  4137,  3956, 4232, 4463, 3907, 4332, 5310, 188, 3043, 3451, 1958,
  4934, 4293, 2023, 2681, 3482, 2888, 265, 3737, 4767, 4873,  3873,
  1986, 5092, 4391, 4538, 4451, 5362, 3107, 2095, 4906, 4751, 3813,
  4172, 2568, 4352, 3376, 4946, 3674, 4019, 3474, 4654, 1731, 2881,
  4976, 3714, 4105, 4543, 2840, 2937, 5160, 3805, 5325, 1865, 4224,
  4029, 4467, 4785, 3666, 1893, 3844, 3484, 3042, 3415, 3023, 4926,
  4153, 4677, 2789, 3374, 3746, 1779, 5223, 4443, 3815, 2087, 3854,
  2762, 4811, 3676, 1851, 1974, 4324, 4356, 68, 2561,  3638,  3033,
  2688,  3941,  1948, 4889, 4248, 2013, 5309, 5189, 58, 3098, 2542,
  3885, 4727, 2552, 4312, 2150, 3722, 4057, 5317, 78,  3106,  4113,
  3917, 4376, 4757, 3630, 5165, 1671, 1921, 4901, 2632, 4157, 4346,
  2532, 3590, 199, 2102, 5195, 2045, 3468, 222, 2642,  5115,  3640,
  4099, 3952, 1966, 4140, 4328, 1883, 4575, 3799, 4881, 4296, 3478,
  3660, 2782, 1837, 3733, 3097, 1985, 1669, 2850, 1791, 2957, 2887,
  2741, 2149, 4731, 2077, 3893, 5222, 4502, 3809, 2680, 2086, 3670,
  4715, 3933, 4591, 2567, 4318, 2870, 2560, 2094, 2039, 3517, 4682,
  4940,  2140,  5009, 1861, 4012, 88, 4069, 3879, 4507, 4547, 5120,
  4215, 3693, 3454, 3624, 3041, 2731, 3370, 1915, 2662, 4531, 3494,
  5361, 3837, 1799, 5194, 4810, 4434, 4132, 3634, 4707, 3446, 3937,
  4288, 4251, 4969, 1734, 2031, 2947, 3526, 1844, 4565, 5153, 2886,
  3718,  2139,  4981, 77, 4686, 4109, 1785, 2956, 2860, 3920, 4457,
  4276, 3456, 5308, 4077, 2076, 4670, 3418, 4721, 1726, 176,  1771,
  2880, 3701, 2751, 1980, 1925, 2788, 5159, 4790, 4895, 3502, 4024,
  4136, 4462, 1909, 3032, 3410, 1736, 244, 4063, 1957, 2511,  4292,
  2771, 3040, 1665, 3736, 4872, 3687, 4092, 4537, 5145, 1828, 5316,
  3096, 3889, 3792, 3849, 4750, 4268, 2521, 264, 3420, 4351,  3653,
  4590,  4662,  4126,  4243, 46, 254, 5188, 2038, 3593, 3440, 2966,
  3513, 4282, 2085, 5108, 4762, 1864, 3912, 4371, 1901, 4231, 3031,
  2559,  4032,  3450, 4152, 4676, 3585, 4511, 5003, 87, 3872, 1720,
  4049, 2787, 2879, 1795, 4495, 5114, 2761, 2679, 4323, 3617, 3857,
  5158,  4570,  67, 3595, 4018, 1947, 3473, 4247, 2093, 1730, 2781,
  2652, 2030, 3404, 232, 2965, 2946, 2541, 4933, 5100, 2022,  1818,
  3095, 3721, 4112, 3804, 3916, 4223, 2138, 4945, 4073, 3665, 3843,
  3414, 4345, 4171, 3697, 4975, 1979, 3373, 1778, 221, 4237,  3829,
  5187,  4789, 4487, 2075, 1856, 3498, 2678, 4542, 3906, 2936, 253,
  3365, 4466, 3732, 4784, 57, 2849, 3481, 4925, 3579,  4004,  5002,
  3892, 4450, 2044, 4056, 4501, 2672, 5307, 3629, 3812, 5113, 4714,
  2631, 3932, 3375, 4317, 3673, 1973, 3589, 4653, 4355, 3516, 3467,
  1762,  5152,  2780, 4888, 3713, 4761, 76, 2012, 4104, 1860, 4370,
  2839, 4726, 263, 4900, 4028, 3433, 3798, 1892, 3030, 3659,  4756,
  1836, 4530, 1668, 1920, 4156, 3784, 4974, 1798, 4442, 4131, 2621,
  5306, 3853, 4569, 1850, 4706, 4287, 1713, 3637, 3951, 1965, 2878,
  1660, 4327, 2084, 5144, 4880, 2021, 3359, 3717, 2964, 3884, 4108,
  4311, 4011, 4456, 5091, 2558, 4076, 3397, 3022, 4669, 4214, 1670,
  2869,  3623,  86, 3700, 2730, 3369, 2750, 2531, 1752, 4939, 5107,
  3836, 3501, 3609, 5151, 1908, 2641, 4541, 4681, 4098, 187,  2935,
  3445, 1882, 4506, 3029, 5186, 4783, 3477, 2083, 1790, 3888, 2740,
  1914, 2661, 3995, 2557, 3808, 4661, 4125, 3669, 4242, 3572, 4968,
  1725,  1972,  85,  1770, 2955, 243, 3512, 4281, 3936, 2074, 5099,
  2011, 1654, 2963, 3911, 2610, 5143, 1900, 4725, 2551, 4068, 3878,
  4564, 4031, 3409, 2510, 2859, 2779, 3692, 4755, 3453, 1978, 1664,
  1919, 2868, 4720, 2037, 1827, 4894, 1794, 4494, 3493, 3791, 4938,
  5106, 3856, 4433, 3652, 2677, 3633, 2770, 1964, 4135, 4461, 2651,
  45, 2954, 3439, 1733, 1956, 2073, 4291, 1843, 2671,  4871,  2500,
  1784, 4536, 4072, 4275, 4749, 3352, 3584, 3696, 3417, 4350, 4236,
  4967, 1719, 2029, 4048, 4486, 1855, 2945, 3497, 3775, 5098, 4680,
  3616,  4023, 1705, 3905, 210, 4505, 4062, 3403, 3480, 5150, 4151,
  3686, 75, 4675, 4091, 1817, 4449, 1913, 252,  3848,  3389,  3021,
  4893,  4267,  3811, 2520, 2556, 2760, 3672, 4322, 4652, 66, 4932,
  2769, 3592, 84, 1946, 3828, 3712, 4246, 4103, 2838,  5090,  2540,
  4563, 4027, 1696, 4230, 2670, 1891, 2877, 2858, 3915, 3449, 1647,
  3364, 5142, 4719, 3578, 3871, 4344, 4003, 4441, 2489, 3020, 3852,
  1849, 2934, 3564, 3636, 2867, 4460, 4017, 2036, 3472, 1729, 4924,
  1955, 1761, 2953, 5105, 3883, 3731, 4310, 2072, 2848, 4535, 3803,
  4222,  3432, 2778, 3664, 175, 4748, 3842, 4500, 1971, 3413, 4349,
  2530, 4713, 3931, 4887, 3372, 83, 1777, 4316, 3783,  4931,  2020,
  2620, 2550, 2640, 4097, 3555, 5089, 1859, 1881, 4966, 1712, 2028,
  1659, 220, 3476, 4150, 56, 5097, 4674, 1789,  3358,  2739,  4529,
  4055,  3807, 3396, 198, 3628, 3344, 2759, 3668, 1963, 4130, 2630,
  4321, 231, 65, 4705, 3588, 4879, 1945, 4286,  4782,  1751,  2952,
  3466,  4923, 3608, 251, 4067, 3877, 3716, 4107, 2768, 3797, 4455,
  3691, 34, 3452, 2876, 3658, 74, 4668,  1835,  4343,  1667,  3492,
  2669, 2749, 4886, 2010, 3994, 4432, 3335, 3019, 3632, 2549, 3571,
  1907, 1732, 4754, 1842, 1653, 1912, 2660, 2847, 2609, 1783, 4010,
  4274,  3887,  4499, 1639, 4213, 3416, 5141, 4712, 3622, 3930, 73,
  4660, 2729, 4124, 3368, 4315, 4241, 4878, 3511, 3835, 4280, 4562,
  4022,  209,  242, 3910, 4061, 3444, 1899, 1686, 4930, 2875, 2019,
  3685, 4090, 4528, 5088, 3847, 2499, 4266, 2519, 1793, 4493, 1630,
  4129, 3018, 3351, 2777, 1724, 4704, 1954, 1769, 3591, 4285, 2650,
  4870, 3774, 4534, 219, 2659, 4229, 2866, 1704, 2027, 4454,  3408,
  2944, 3448, 2509, 4071, 4922, 5096, 4667, 1663, 3870, 3695, 2748,
  1826, 3790, 4235, 3388, 4485, 1854, 3651, 3496, 1970, 4016, 1906,
  3471,  2478,  1728, 44, 2857, 3904, 4885, 3438, 2009, 4718, 2548,
  3802, 4221, 2767, 1695, 241, 4448, 3663, 3841, 2943, 3412,  1646,
  64,  2776,  3583, 4659, 4123, 1944, 3371, 4240, 1776, 2668, 1718,
  72, 4651, 4047, 2539, 4279, 2488, 3711, 4869, 4102,  3615,  3563,
  3909,  1962,  2837, 1898, 4026, 4747, 4877, 3402, 55, 1890, 4342,
  1816, 4054, 197, 4492, 4440, 3627, 2629, 3851, 1848, 1620,  3587,
  2667, 3465, 2649, 3827, 2846, 4673, 3882, 3554, 4498, 4309, 3796,
  2865, 2018, 2758, 3657, 3363, 1834, 4314, 1666, 63,  2658,  5087,
  3577,  71,  2529, 4002, 4234, 4484, 1853, 2538, 3343, 2639, 4096,
  3903, 1880, 1760, 4527, 3475, 2933, 4009, 1788, 4447, 2856, 2738,
  3431,  4212,  4921,  33,  3806, 2017, 3621, 22, 2942, 2728, 3367,
  3667, 5086, 4650, 3782, 3834, 3710, 2619, 4101, 230, 2836,  3334,
  4453, 3443, 4066, 3876, 1711, 2864, 1953, 2008, 1889, 1658, 3690,
  4711, 4868, 2747, 2547, 3357, 2932, 4439, 3491, 4746, 3395, 1638,
  1905,  2766, 4431, 1847, 1723, 1768, 3631, 1750, 186, 3607, 3881,
  1961, 1841, 4308, 3407, 2508, 1782, 4876, 1685, 4273, 2007, 4122,
  2941, 1662, 4703, 2546, 2528, 1825, 4278, 3789, 3993, 2757, 3650,
  1629, 1897, 2638, 4095, 4021, 3570, 43, 1943, 3437,  1879,  4060,
  4666,  2537, 1652, 2608, 3684, 1787, 4491, 229, 4089, 2737, 3846,
  2765, 4265, 2518, 3582, 1904, 2657, 240, 1717, 4046, 2666,  3614,
  4065, 3875, 2477, 4228, 3401, 3689, 3447, 4658, 2845, 1815, 4233,
  4483, 208, 3869, 3490, 2931, 2498, 4430, 4710, 3902, 3350,  1896,
  2656, 4015, 3826, 3470, 1727, 3773, 1840, 4446, 1703, 1781, 1952,
  3801, 4272, 4220, 3362, 3662, 3840, 4867, 3411, 2006, 4526, 3576,
  4001, 2648, 2545, 2855, 1775, 3387, 2835, 4020, 4702, 1619, 1888,
  4059, 1759, 3683, 54, 4088, 4438, 2930, 3430, 1694,  3845,  1951,
  4053, 1846, 4264, 2517, 4665, 1645, 3626, 4866, 2628, 2746, 3781,
  3586, 2756, 2618, 2487, 3464, 4307, 62, 3562, 1710,  1942,  4227,
  1657,  3795,  2536, 239, 3356, 3656, 1833, 4649, 3868, 174, 3394,
  2637, 4094, 4657, 2834, 21, 1878, 4014, 3469,  1749,  1887,  185,
  196,  3606,  2736,  61, 3553, 3800, 1941, 4008, 4219, 3661, 3839,
  207, 2535, 4211, 3620, 2727, 3366, 1774, 4490, 3992, 2854,  3833,
  3874,  3342,  4306, 3569, 2647, 3442, 1651, 53, 2607, 2527, 4052,
  4429, 32, 3625, 228, 2844, 2627, 1722, 1877,  2655,  1767,  4482,
  1839, 3463, 4701, 1780, 3333, 4271, 2735, 3794, 3406, 2507, 3655,
  1832, 1661, 4445, 2497, 1824, 2853, 3788, 1637, 3349, 3649, 4058,
  2745,  4648,  42,  3682, 3436, 4087, 3772, 218, 2755, 1702, 4007,
  4263, 2516, 60, 1684, 1940, 4210, 3619, 3581, 2726,  2534,  4437,
  3386,  1716, 4045, 3832, 4656, 1838, 1628, 4226, 3613, 195, 3441,
  4270, 3400, 3867, 1895, 1693, 1814, 1644, 4013, 2526, 1721, 1766,
  2843,  2486,  3825, 2636, 2754, 4086, 3561, 4218, 59, 2646, 3838,
  2476, 3405, 4262, 227, 2506, 3361, 173, 1773,  217,  3575,  1823,
  4000,  3787,  3648,  4225,  41, 4481, 52, 3435, 1758, 4051, 3866,
  3552, 2645, 2626, 3429, 3580, 2842, 3462, 1715, 4044, 3780, 4428,
  3341, 2617, 3612, 4647, 3793, 1618, 4217, 1709, 3654, 2744, 1831,
  3399, 1656, 206, 3355, 1813, 1772, 1886, 31,  3393,  4436,  3824,
  1748,  51,  4006, 3332, 3605, 4646, 4050, 4209, 3618, 2725, 3360,
  2625, 2833, 3574, 3999, 3831, 1885, 2515, 1636, 3991,  2525,  20,
  3568,  2743, 1757, 2635, 1830, 1650, 1876, 2606, 1683, 3428, 184,
  1765, 2734, 3779, 1627, 2616, 2524, 4005, 2505, 1708, 1655, 4208,
  2634,  1822,  2724, 3354, 3786, 1875, 3647, 3830, 2496, 3392, 40,
  3348, 3434, 194, 1747, 4427, 3604, 3771, 2475,  1701,  2644,  50,
  1714,  4043, 1764, 2832, 3990, 3611, 3385, 216, 3567, 3398, 2504,
  4426, 1812, 1649, 2605, 1821, 3785, 1692, 3646, 1829, 1643, 3823,
  39,  4261,  2514,  2485, 1617, 3560, 2523, 3573, 3998, 2831, 183,
  4042, 2495, 1874, 3610, 2723, 3347, 1756, 2733, 2513, 3770, 1811,
  3427,  1700,  3551, 3778, 4216, 2615, 3822, 3384, 19, 1707, 3340,
  1763, 172, 3353, 2633, 3997, 3391, 1691,  215,  1642,  30,  1820,
  1746,  2732,  3603, 1755, 2484, 2624, 3559, 3331, 38, 3426, 3989,
  3777, 2614, 49, 3566, 1635, 1706, 4041, 1648, 2604,  2623,  2512,
  3550,  3390, 1682, 1810, 1745, 4207, 3602, 205, 3339, 1626, 3821,
  2494, 3988, 3346, 29, 3565, 3996, 3769, 4206,  171,  1699,  2603,
  193,  3330,  2474,  1754, 3383, 2503, 1634, 48, 3776, 2613, 1690,
  37, 182, 2493, 1641, 1681, 3345, 2483, 2502,  3558,  3768,  1625,
  1698,  1819,  1616, 1744, 3601, 3382, 47, 3987, 3549, 2622, 1689,
  2722, 2473, 1640, 2602, 3338, 2482, 3557,  1809,  18,  28,  1753,
  2492,  3329,  2501,  3548, 2721, 1615, 204, 3767, 1697, 1633, 36,
  3337, 3381, 1680, 1743, 27, 2612,  1688,  1624,  170,  3328,  17,
  1808,  2481,  3556, 35, 1632, 2601, 2472, 1679, 3986, 3547, 1623,
  192, 203, 3336, 3766, 181, 26,  1614,  2471,  2491,  3327,  1742,
  1687,  1631,  2480,  2611,  1678, 16, 1613, 180, 1622, 191, 3546,
  2490, 2470, 15, 2600, 25, 3326, 169, 24, 1612, 2479, 1677,  1621,
  1676, 14, 168, 2469, 2468, 1611, 23, 1610, 13, 179, 12, 167, 11
  };


  /*
  ** each of the thirteen card ranks has its own prime number
  **
  ** deuce = 2
  ** trey  = 3
  ** four  = 5
  ** five  = 7
  ** ...
  ** king  = 37
  ** ace   = 41
  */
  int primes[] = { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41 };

  int perm7[21][5] = {
    { 0, 1, 2, 3, 4 },
    { 0, 1, 2, 3, 5 },
    { 0, 1, 2, 3, 6 },
    { 0, 1, 2, 4, 5 },
    { 0, 1, 2, 4, 6 },
    { 0, 1, 2, 5, 6 },
    { 0, 1, 3, 4, 5 },
    { 0, 1, 3, 4, 6 },
    { 0, 1, 3, 5, 6 },
    { 0, 1, 4, 5, 6 },
    { 0, 2, 3, 4, 5 },
    { 0, 2, 3, 4, 6 },
    { 0, 2, 3, 5, 6 },
    { 0, 2, 4, 5, 6 },
    { 0, 3, 4, 5, 6 },
    { 1, 2, 3, 4, 5 },
    { 1, 2, 3, 4, 6 },
    { 1, 2, 3, 5, 6 },
    { 1, 2, 4, 5, 6 },
    { 1, 3, 4, 5, 6 },
    { 2, 3, 4, 5, 6 }
  };



  static const int STRAIGHT_FLUSH = 1;
  static const int FOUR_OF_A_KIND = 2;
  static const int FULL_HOUSE = 3;
  static const int FLUSH = 4;
  static const int STRAIGHT = 5;
  static const int THREE_OF_A_KIND = 6;
  static const int TWO_PAIR = 7;
  static const int ONE_PAIR = 8;
  static const int HIGH_CARD = 9;

  template<typename T>
  T __min(T a, T b)
  {
    return a < b ? a : b;
  }

  #define RANK(x)  ((x >> 8) & 0xF)

  std::string value_str[] = {
   "",
   "Straight Flush",
   "Four of a Kind",
   "Full House",
   "Flush",
   "Straight",
   "Three of a Kind",
   "Two Pair",
   "One Pair",
   "High Card"
  };

  static const int CLUB = 0x8000;
  static const int DIAMOND = 0x4000;
  static const int HEART = 0x2000;
  static const int SPADE = 0x1000;

  static const int Deuce = 0;
  static const int Trey = 1;
  static const int Four = 2;
  static const int Five = 3;
  static const int Six = 4;
  static const int Seven = 5;
  static const int Eight = 6;
  static const int Nine = 7;
  static const int Ten = 8;
  static const int Jack = 9;
  static const int Queen = 10;
  static const int King = 11;
  static const int Ace = 12;

  // jmd declarations added
  void init_deck( int *deck );
  int find_card( int rank, int suit, int *deck );
  short eval_5hand(const int *hand );
  int eval_5hand_fast(int c1, int c2, int c3, int c4, int c5);
  int hand_rank( short val );
  void print_hand( int *hand, int n );
  void shuffle_deck( int *deck );
  short eval_5cards( int c1, int c2, int c3, int c4, int c5 );
  short eval_7hand(const int *hand );


  const char HandRanks[][16] = {"BAD!!","High Card","Pair","Two Pair","Three of a Kind","Straight","Flush","Full House","Four of a Kind","Straight Flush"};

  int64_t IDs[612978];
  int HR[32487834];

  int numIDs = 1;
  int numcards = 0;
  int maxHR = 0;
  int64_t maxID = 0;

  int64_t MakeID(int64_t IDin, int newcard)  // adding a new card to this ID
  {
   int64_t ID = 0;
   int suitcount[4 + 1];
   int rankcount[13 + 1];
   int workcards[8];  // intentially keeping one as a 0 end
   int cardnum;
   int getout = 0;

   memset(workcards, 0, sizeof(workcards));
   memset(rankcount, 0, sizeof(rankcount));
   memset(suitcount, 0, sizeof(suitcount));

   // can't have more than 6 cards!
   for (cardnum = 0; cardnum < 6; cardnum++)
   {
    workcards[cardnum + 1] =  (int) ((IDin >> (8 * cardnum)) & 0xff);  // leave the 0 hole for new card
   }

   // my cards are 2c = 1, 2d = 2  ... As = 52
   newcard--;  // make 0 based!

   workcards[0] = (((newcard >> 2) + 1) << 4) + (newcard & 3) + 1;  // add next card formats card to rrrr00ss

   for (numcards = 0; workcards[numcards]; numcards++)
   {
    suitcount[workcards[numcards] & 0xf]++;           // need to see if suit is significant
    rankcount[(workcards[numcards] >> 4) & 0xf]++;   // and rank to be sure we don't have 4!
    if (numcards)
    {
     if (workcards[0] == workcards[numcards]) {   // can't have the same card twice
      getout = 1;          // if so need to get out after counting numcards
     }
    }
   }

   if (getout) {
    return 0;     // duplicated another card (ignore this one)
   }


   int needsuited = numcards - 2;    // for suit to be significant - need to have n-2 of same suit

   if (numcards > 4) {
    for (int rank = 1; rank < 14; rank++) {
     if (rankcount[rank] > 4) {  // if I have more than 4 of a rank then I shouldn't do this one!!
      return 0;   // can't have more than 4 of a rank so return an ID that can't be!
     }
    }
   }

   // However in the ID process I prefered that
   // 2s = 0x21, 3s = 0x31,.... Kc = 0xD4, Ac = 0xE4
   // This allows me to sort in Rank then Suit order

   // if we don't have at least 2 cards of the same suit for 4, we make this card suit 0.

   if (needsuited > 1) {
    for (cardnum = 0; cardnum < numcards; cardnum++) {  // for each card
     if (suitcount[workcards[cardnum] & 0xf] < needsuited) { // check suitcount to the number I need to have suits significant
      workcards[cardnum] &= 0xf0;   // if not enough - 0 out the suit - now this suit would be a 0 vs 1-4
     }
    }
   }

   // Sort Using XOR.  Network for N=7, using Bose-Nelson Algorithm: Thanks to the thread!
  #define SWAP(I,J) {if (workcards[I] < workcards[J]) {workcards[I]^=workcards[J]; workcards[J]^=workcards[I]; workcards[I]^=workcards[J];}}

   SWAP(0, 4);
   SWAP(1, 5);
   SWAP(2, 6);
   SWAP(0, 2);
   SWAP(1, 3);
   SWAP(4, 6);
   SWAP(2, 4);
   SWAP(3, 5);
   SWAP(0, 1);
   SWAP(2, 3);
   SWAP(4, 5);
   SWAP(1, 4);
   SWAP(3, 6);
   SWAP(1, 2);
   SWAP(3, 4);
   SWAP(5, 6);

   // long winded way to put the pieces into a int64_t
   // cards in bytes --66554433221100
   // the resulting ID is a 64 bit value with each card represented by 8 bits.
   ID =  (int64_t) workcards[0] +
    ((int64_t) workcards[1] << 8) +
    ((int64_t) workcards[2] << 16) +
    ((int64_t) workcards[3] << 24) +
    ((int64_t) workcards[4] << 32) +
    ((int64_t) workcards[5] << 40) +
    ((int64_t) workcards[6] << 48);

   return ID;
  }

  int SaveID(int64_t ID)
  {
   if (ID == 0) return 0;   // don't use up a record for a 0!

   if (ID >= maxID) {           // take care of the most likely first goes on the end...
    if (ID > maxID) {        // greater than create new else it was the last one!
     IDs[numIDs++] = ID;  // add the new ID
     maxID = ID;
    }
    return numIDs - 1;
   }

   // find the slot I will find it (by a pseudo bsearch algorithm)
   int low = 0;
   int high = numIDs - 1;
   int64_t testval;
   int holdtest;

   while (high - low > 1) {
    holdtest = (high + low + 1) / 2;
    testval = IDs[holdtest] - ID;
    if (testval > 0) high = holdtest;
    else if (testval < 0) low = holdtest;
    else return holdtest;   // got it!!
   }
   // I guess it couldn't be found so must be added to the current location (high)
   // make space...  // don't expect this much!
   memmove(&IDs[high + 1], &IDs[high], (numIDs - high) * sizeof(IDs[0]));

   IDs[high] = ID;   // do the insert into the hole created
   numIDs++;
   return high;
  }

  int DoEval(int64_t IDin)
  {
   // I guess I have some explaining to do here...  I used the Cactus Kevs Eval ref http://www.suffecool.net/poker/evaluator.html
   // I Love the pokersource for speed, but I needed to do some tweaking to get it my way
   // and Cactus Kevs stuff was easy to tweak ;-)
   int handrank = 0;
   int cardnum;
   int workcard;
   int rank;
   int suit;
   int mainsuit = 20;      // just something that will never hit...  need to eliminate the main suit from the iterator
   //int suititerator = 0;
   int suititerator = 1; // changed as per Ray Wotton's comment at http://archives1.twoplustwo.com/showflat.php?Cat=0&Number=8513906&page=0&fpart=18&vc=1
   int holdrank = 0;
   int workcards[8];  // intentially keeping one as a 0 end
   int holdcards[8];
   int numevalcards = 0;

   // See Cactus Kevs page for explainations for this type of stuff...
   const int primes[] = { 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41 };

   memset(workcards, 0, sizeof(workcards));
   memset(holdcards, 0, sizeof(holdcards));

   if (IDin)
   {  // if I have a good ID then do it...
    for (cardnum = 0; cardnum < 7; cardnum++)
    {  // convert all 7 cards (0s are ok)
     holdcards[cardnum] =  (int) ((IDin >> (8 * cardnum)) & 0xff);
     if (holdcards[cardnum] == 0) break; // once I hit a 0 I know I am done
     numevalcards++;      // if not 0 then count the card
     if ((suit = holdcards[cardnum] & 0xf)) { // find out what suit (if any) was significant
      mainsuit = suit;     // and remember it
     }
    }


    for (cardnum = 0; cardnum < numevalcards; cardnum++)
    {
     // just have numcards...
     workcard = holdcards[cardnum];

     // convert to cactus kevs way!!  ref http://www.suffecool.net/poker/evaluator.html
     //   +--------+--------+--------+--------+
     //   |xxxbbbbb|bbbbbbbb|cdhsrrrr|xxpppppp|
     //   +--------+--------+--------+--------+
     //   p = prime number of rank (deuce=2,trey=3,four=5,five=7,...,ace=41)
     //   r = rank of card (deuce=0,trey=1,four=2,five=3,...,ace=12)
     //   cdhs = suit of card
     //   b = bit turned on depending on rank of card

     rank = (workcard >> 4) - 1;  // my rank is top 4 bits 1-13 so convert
     suit = workcard & 0xf;  // my suit is bottom 4 bits 1-4, order is different, but who cares?
     if (suit == 0) {  // if suit wasn't significant though...
      suit = suititerator++;   // Cactus Kev needs a suit!
      if (suititerator == 5)  // loop through available suits
       suititerator = 1;
      if (suit == mainsuit) {   // if it was the sigificant suit...  Don't want extras!!
       suit = suititerator++;    // skip it
       if (suititerator == 5)   // roll 1-4
        suititerator = 1;
      }
     }
     // now make Cactus Kev's Card
     workcards[cardnum] = primes[rank] | (rank << 8) | (1 << (suit + 11)) | (1 << (16 + rank));
    }

    // James Devlin: replaced all calls to Cactus Kev's eval_5cards with calls to
    // Senzee's improved eval_5hand_fast

    switch (numevalcards) {  // run Cactus Keys routines

     case 5 :  holdrank = eval_5hand_fast(workcards[0],workcards[1],workcards[2],workcards[3],workcards[4]);
      break;
      // if 6 cards I would like to find HandRank for them
      // Cactus Key is 1 = highest - 7362 lowest I need to get the min for the permutations
     case 6 :  holdrank = eval_5hand_fast(workcards[0],workcards[1],workcards[2],workcards[3],workcards[4]);
      holdrank = __min(holdrank, eval_5hand_fast(workcards[0],workcards[1],workcards[2],workcards[3],workcards[5]));
      holdrank = __min(holdrank, eval_5hand_fast(workcards[0],workcards[1],workcards[2],workcards[4],workcards[5]));
      holdrank = __min(holdrank, eval_5hand_fast(workcards[0],workcards[1],workcards[3],workcards[4],workcards[5]));
      holdrank = __min(holdrank, eval_5hand_fast(workcards[0],workcards[2],workcards[3],workcards[4],workcards[5]));
      holdrank = __min(holdrank, eval_5hand_fast(workcards[1],workcards[2],workcards[3],workcards[4],workcards[5]));
      break;
     case 7 : holdrank = eval_7hand(workcards);
      break;
     default : // problem!!  shouldn't hit this...
      printf("    Problem with numcards = %d!!\n", numcards);
      break;
    }

    // I would like to change the format of Catus Kev's ret value to:
    // hhhhrrrrrrrrrrrr   hhhh = 1 high card -> 9 straight flush
    //                    r..r = rank within the above 1 to max of 2861
    handrank = 7463 - holdrank;  // now the worst hand = 1

    if      (handrank < 1278) handrank = handrank -    0 + 4096 * 1;  // 1277 high card
    else if (handrank < 4138) handrank = handrank - 1277 + 4096 * 2;  // 2860 one pair
    else if (handrank < 4996) handrank = handrank - 4137 + 4096 * 3;  //  858 two pair
    else if (handrank < 5854) handrank = handrank - 4995 + 4096 * 4;  //  858 three-kind
    else if (handrank < 5864) handrank = handrank - 5853 + 4096 * 5;  //   10 straights
    else if (handrank < 7141) handrank = handrank - 5863 + 4096 * 6;  // 1277 flushes
    else if (handrank < 7297) handrank = handrank - 7140 + 4096 * 7;  //  156 full house
    else if (handrank < 7453) handrank = handrank - 7296 + 4096 * 8;  //  156 four-kind
    else                      handrank = handrank - 7452 + 4096 * 9;  //   10 straight-flushes

   }
   return handrank;  // now a handrank that I like
  }

  void generateTable()
  {
    printf("\nData table file for fast poker hand evaluation not yet created.\nGenerating now. This may take a while.\nThis will write a 124MB file to disk.\n");

    int IDslot, card = 0, count = 0;
    int64_t ID;

    // Store the count of each type of hand (One Pair, Flush, etc)
    int handTypeSum[10];

    // Clear our arrays
    memset(handTypeSum, 0, sizeof(handTypeSum));
    memset(IDs, 0, sizeof(IDs));
    memset(HR, 0, sizeof(HR));


    // step through the ID array - always shifting the current ID and adding 52 cards to the end of the array.
    // when I am at 7 cards put the Hand Rank in!!
    // stepping through the ID array is perfect!!

    int IDnum;

    printf("\nGetting Card IDs!\n");

    // Jmd: Okay, this loop is going to fill up the IDs[] array which has 612,967 slots.
    // as this loops through and find new combinations it adds them to the end
    // I need this list to be stable when I set the handranks (next set)  (I do the insertion sort on new IDs these)
    // so I had to get the IDs first and then set the handranks
    for (IDnum = 0; IDs[IDnum] || IDnum == 0; IDnum++)
    {
      // start at 1 so I have a zero catching entry (just in case)
      for (card = 1; card < 53; card++)
      {
        // the ids above contain cards upto the current card.  Now add a new card
        ID = MakeID(IDs[IDnum], card);   // get the new ID for it
        if (numcards < 7) SaveID(ID);   // and save it in the list if I am not on the 7th card
      }
    printf("\rID - %d", IDnum);   // just to show the progress -- this will count up to  612976
    }

   printf("\nSetting HandRanks!\n");

   // this is as above, but will not be adding anything to the ID list, so it is stable
   for (IDnum = 0; IDs[IDnum] || IDnum == 0; IDnum++)
   {
    // start at 1 so I have a zero catching entry (just in case)
    for (card = 1; card < 53; card++)
    {
     ID = MakeID(IDs[IDnum], card);

     if (numcards < 7)
     {
      IDslot = SaveID(ID) * 53 + 53;  // when in the index mode (< 7 cards) get the id to save
     }
     else
     {
      IDslot = DoEval(ID);   // if I am at the 7th card, get the equivalence class ("hand rank") to save
     }

     maxHR = IDnum * 53 + card + 53; // find where to put it
     HR[maxHR] = IDslot;    // and save the pointer to the next card or the handrank
    }

    if (numcards == 6 || numcards == 7)
    {
     // an extra, If you want to know what the handrank when there is 5 or 6 cards
     // you can just do HR[u3] or HR[u4] from below code for Handrank of the 5 or 6 card hand
     HR[IDnum * 53 + 53] = DoEval(IDs[IDnum]);  // this puts the above handrank into the array
    }

   }


   // another algorithm right off the thread

   int c0, c1, c2, c3, c4, c5, c6;
   int u0, u1, u2, u3, u4, u5;

   for (c0 = 1; c0 < 53; c0++) {
    u0 = HR[53+c0];
    for (c1 = c0+1; c1 < 53; c1++) {
     u1 = HR[u0+c1];
     for (c2 = c1+1; c2 < 53; c2++) {
      u2 = HR[u1+c2];
      for (c3 = c2+1; c3 < 53; c3++) {
       u3 = HR[u2+c3];
       for (c4 = c3+1; c4 < 53; c4++) {
        u4 = HR[u3+c4];
        for (c5 = c4+1; c5 < 53; c5++) {
         u5 = HR[u4+c5];
         for (c6 = c5+1; c6 < 53; c6++) {
          handTypeSum[HR[u5+c6] >> 12]++;
          count++;
         }
        }
       }
      }
     }
    }
   }


   for (int i = 0; i <= 9; i++)  // display the results
    printf("\n%16s = %d", HandRanks[i], handTypeSum[i]);

   printf("\nTotal Hands = %d\n", count);
  }

  int writeTableToFile()
  {
   // output the array now that I have it!!
   FILE * fout = fopen(HANDRANKSFILE.c_str(), "wb");
   if (!fout) {
    printf("Problem creating the Output File!\n");
    return 1;
   }
   fwrite(HR, sizeof(HR), 1, fout);  // big write, but quick

   fclose(fout);

   return 0;
  }

  ///////////////////////////////// end code!!

  // Paul D. Senzee's Optimized Hand Evaluator
  //   for Cactus Kev's Poker Hand Evaluator
  //
  // Replaces binary search with a perfect hash.
  // If you replace eval_5hand with eval_5hand_fast, the products[] and values[] arrays in 'arrays.h' are unnecessary.
  // With eval_5hand_fast, the 'allfive.c' test program runs about 2.7 times faster.
  //
  // (c) Paul D. Senzee.
  // Portions (in eval_5hand_fast) (c) Kevin L. Suffecool.
  // psenzee@yahoo.com
  //
  // Senzee 5
  // http://senzee.blogspot.com

  extern short flushes[];
  extern short unique5[];
  extern unsigned short hash_adjust[];
  extern unsigned short hash_values[];

  unsigned find_fast(unsigned u)
  {
      unsigned a, b, r;
      u += 0xe91aaa35;
      u ^= u >> 16;
      u += u << 8;
      u ^= u >> 4;
      b  = (u >> 8) & 0x1ff;
      a  = (u + (u << 2)) >> 19;
      r  = a ^ hash_adjust[b];
      return r;
  }

  int eval_5hand_fast(int c1, int c2, int c3, int c4, int c5)
  {
      int q = (c1 | c2 | c3 | c4 | c5) >> 16;
      short s;
      if (c1 & c2 & c3 & c4 & c5 & 0xf000) return flushes[q]; // check for flushes and straight flushes
      if ((s = unique5[q]))                return s;          // check for straights and high card hands
      return hash_values[find_fast((c1 & 0xff) * (c2 & 0xff) * (c3 & 0xff) * (c4 & 0xff) * (c5 & 0xff))];
  }

  unsigned short hash_adjust[] =
  {
      0, 5628, 7017, 1298, 2918, 2442, 8070, 6383, 6383, 7425, 2442, 5628, 8044, 7425, 3155, 6383,
      2918, 7452, 1533, 6849, 5586, 7452, 7452, 1533, 2209, 6029, 2794, 3509, 7992, 7733, 7452, 131,
      6029, 4491, 1814, 7452, 6110, 3155, 7077, 6675, 532, 1334, 7555, 5325, 3056, 1403, 1403, 3969,
      4491, 1403, 7592, 522, 8070, 1403, 0, 1905, 3584, 2918, 922, 3304, 6675, 0, 7622, 7017,
      3210, 2139, 1403, 5225, 0, 3969, 7992, 5743, 5499, 5499, 5345, 7452, 522, 305, 3056, 7017,
      7017, 2139, 1338, 3056, 7452, 1403, 6799, 3204, 3290, 4099, 1814, 2191, 4099, 5743, 1570, 1334,
      7363, 1905, 0, 6799, 4400, 1480, 6029, 1905, 0, 7525, 2028, 2794, 131, 7646, 3155, 4986,
      1858, 2442, 7992, 1607, 3584, 4986, 706, 6029, 5345, 7622, 6322, 5196, 1905, 6847, 218, 1785,
      0, 4099, 2981, 6849, 4751, 3950, 7733, 3056, 5499, 4055, 6849, 1533, 131, 5196, 2918, 3879,
      5325, 2794, 6029, 0, 0, 322, 7452, 6178, 2918, 2320, 6675, 3056, 6675, 1533, 6029, 1428,
      2280, 2171, 6788, 7452, 3325, 107, 4262, 311, 5562, 7857, 6110, 2139, 4942, 4600, 1905, 0,
      3083, 5345, 7452, 6675, 0, 6112, 4099, 7017, 1338, 6799, 2918, 1232, 3584, 522, 6029, 5325,
      1403, 6759, 6849, 508, 6675, 2987, 7745, 6870, 896, 7452, 1232, 4400, 12, 2981, 3850, 4491,
      6849, 0, 6675, 747, 4491, 7525, 6675, 7452, 7992, 6921, 7323, 6849, 3056, 1199, 2139, 6029,
      6029, 190, 4351, 7891, 4400, 7134, 1533, 1194, 3950, 6675, 5345, 6383, 7622, 131, 1905, 2883,
      6383, 1533, 5345, 2794, 4303, 1403, 0, 1338, 2794, 992, 4871, 6383, 4099, 2794, 3889, 6184,
      3304, 1905, 6383, 3950, 3056, 522, 1810, 3975, 7622, 7452, 522, 6799, 5866, 7084, 7622, 6528,
      2798, 7452, 1810, 7907, 642, 5345, 1905, 6849, 6675, 7745, 2918, 4751, 3229, 2139, 6029, 5207,
      6601, 2139, 7452, 5890, 1428, 5628, 7622, 2139, 3146, 2400, 578, 941, 7672, 1814, 3210, 1533,
      4491, 12, 2918, 1900, 7425, 2794, 2987, 3465, 1377, 3822, 3969, 3210, 859, 5499, 6878, 1377,
      3056, 4027, 8065, 8065, 5207, 4400, 4303, 3210, 3210, 0, 6675, 357, 5628, 5512, 1905, 3452,
      1403, 7646, 859, 6788, 3210, 2139, 378, 5663, 7733, 870, 0, 4491, 4813, 2110, 578, 2139,
      3056, 4099, 1905, 1298, 4672, 2191, 3950, 5499, 3969, 4974, 6323, 6029, 7414, 6383, 0, 4974,
      3210, 795, 4099, 131, 5345, 5345, 6576, 1810, 1621, 4400, 2918, 1905, 2442, 2679, 6322, 7452,
      2110, 1403, 6383, 2653, 5132, 6856, 7841, 2794, 6110, 2028, 6675, 7425, 6999, 7441, 6029, 183,
      6675, 4400, 859, 1403, 2794, 5985, 5345, 1533, 322, 4400, 1227, 5890, 4474, 4491, 3574, 8166,
      6849, 7086, 5345, 5345, 5459, 3584, 6675, 3969, 7579, 8044, 2295, 2577, 1480, 5743, 3304, 5499,
      330, 4303, 6863, 3822, 4600, 4751, 5628, 3822, 2918, 6675, 2400, 6663, 1403, 6849, 6029, 3145,
      6110, 3210, 747, 3229, 3056, 2918, 7733, 330, 4055, 7322, 5628, 2987, 3056, 1905, 2903, 669,
      5325, 2845, 4099, 5225, 6283, 4099, 5000, 642, 4055, 5345, 8034, 2918, 1041, 5769, 7051, 1538,
      2918, 3366, 608, 4303, 3921, 0, 2918, 1905, 218, 6687, 5963, 859, 3083, 2987, 896, 5056,
      1905, 2918, 4415, 7966, 7646, 2883, 5628, 7017, 8029, 6528, 4474, 6322, 5562, 6669, 4610, 7006
  };

  unsigned short hash_values[] =
  {
       148, 2934,  166, 5107, 4628,  166,  166,  166,  166, 3033,  166, 4692,  166, 5571, 2225,  166,
      5340, 3423,  166, 3191, 1752,  166, 5212,  166,  166, 3520,  166,  166,  166, 1867,  166, 3313,
       166, 3461,  166,  166, 3174, 1737, 5010, 5008,  166, 4344, 2868, 3877,  166, 4089,  166, 5041,
      4748, 4073, 4066, 5298, 3502, 1812,  166, 5309,  166,  233, 3493,  166,  166, 3728, 5236, 4252,
      4010, 2149,  166,  164, 4580, 3039, 4804, 3874,  166, 6170, 2812,  166, 4334,  166,  166,  166,
       166,  166,  166, 1862,  224, 2131, 6081,  166, 2710,  166,  166,  166, 4765,  166, 1964, 5060,
       166, 1897,  166, 3987,  166,  166, 5566, 2021,  166,   45,  166,  166, 3283, 3932,  166,  166,
      3519,  166,  166,  291,  166,  166, 5132, 2800,  166,  166,  166, 5531, 4054,  166, 3509,  166,
       166, 4908, 3028, 1756, 1910, 4671, 2729, 5224,  166,  121, 3327, 3317,  166,  181, 2371, 5541,
       166, 1787, 2666, 5134, 5698,  166, 5480, 3870,  166, 3823,  166, 3165, 5343, 5123, 5089,  166,
      2422, 3724,  166, 2735, 1953, 5724, 4444, 4871,  166,  166, 5001, 5512, 3133, 5171,  166, 2216,
       166, 4877, 4542,  166,  166,  166, 5270,  166,  166,  166, 1922,   69, 3547,  166,  166,  166,
       166,  166,  231, 4547, 5155, 3357, 3464,  166,   72, 3332,  166, 4392, 5971, 3896, 4451, 3173,
      2569,  166, 4466, 2518, 1698, 2850, 5349,  166,  166, 4457, 5062,  166, 2202, 1650, 2191,  166,
      1950, 2583,  166, 5293, 2032, 5893,  166, 3994, 5392, 3878,   96,  166,  166, 3195,  166, 4001,
      1900, 2513, 6027,  166,  166,  166,  166, 5407,  166,  166, 2332, 5125, 5891, 3096, 3172,  166,
       166, 3065,  166,  166, 4535,  166,  166,  166, 4553, 3131, 3693,  166, 2255, 2613,  166,  166,
       166,  166, 2866,  166,  166,  166, 2940, 5333, 3199,  166, 2628, 4312,  166,  166, 1794, 4681,
      2058, 3606,  166,  166, 3542, 2166, 4696, 2520,  166, 4739,  166, 2563,  166,  166, 3681,  166,
       166,  166, 4127, 1967, 2972,  166, 5227,  166,  166, 5551, 4255,   56,  166, 5553, 3219, 4367,
       166, 3218, 4749, 2886, 3695, 3711, 2228,  166,  166,  166, 2268, 5054, 3749, 4825,  166, 4933,
      4992, 4530,  166, 4892, 3400,  166,  197,  166, 6078,  166,  166, 3971,  166,  166, 5357, 1852,
      3377,  166, 5196, 3740, 5320,  166,  166, 3099,  166, 4562, 6061, 3294,  166,  166,  166,  166,
      3266, 3627, 2567,  166,  228, 2773,  166,  166,   53, 1833, 2401,  124,  166, 4272, 3922, 5959,
      2903, 3923,  166, 6155,  166,  166,  166,  166,  216,  166, 5247,  166, 5591,  166,  166,   82,
        87, 4526,  166,  166, 5439,  166, 4935,  166, 3187, 1869,  166, 1764, 5500, 6023, 3356,  166,
      3350, 2457, 2455,  166, 1637,  166, 3342,  166,  166, 3355, 5154,  166,  276,  166,  166,  166,
      3371, 5969,  166, 1665,  166,  166,  166,  166,  166,  166,  166, 4092, 1712, 3122, 5086,  166,
       166, 4906,  166, 2591,  166,  166,  166, 1894, 2997,  166, 4476, 4384,  166, 4747, 4109, 2655,
       166, 5978, 1636, 4898,  166,  166,  166,  166,  166,  166,  166, 5207,  166,  166, 3712, 3876,
        91, 5876, 3786, 5998,  166,  166,  166, 4391,  166,  166, 2832, 2220, 4435,  166,  166, 5796,
      3156, 6112,  166, 1643, 1821, 3129,  166, 4200,  166, 5857,  166,  166, 2351, 5902, 1855, 5043,
       166, 3167, 5191, 3996, 5718, 4876, 3071, 2965, 5735, 5930, 6149, 2345, 3297, 3822,  166,  166,
       307, 6019, 1859, 2981, 4914, 3320, 6165, 2328,  140, 2372,  308,  166, 2280, 5081,  166, 3275,
       166,  159, 2399, 2327, 5489, 4690, 6059, 4492, 4269, 6058,  166,   19,  166, 3323, 5708,  128,
      4812, 2949,  166,  166, 2890, 2630, 5237,  166,  256, 3673, 4621, 5380,  166, 3353,  166, 1651,
      2573, 1635, 4011, 3429, 3370, 3720,  166,  166, 6108, 3848, 5104, 2851, 1998,  166,  166, 5106,
        20,  166, 2633,  166,  166,  166,  166, 5662,  125, 3651, 1731, 4702,  166, 3197,  166, 2947,
      3046, 4196, 2185, 6100,  166, 2602, 2908, 2487,  166, 5232,  166, 4028, 5919,  166, 2680, 3608,
      3252,  166, 4899,  166,  166,  166,  166, 2529,  166,  166,  166,  166,  166, 2534,  166, 2299,
      4076,  166, 3643,  166, 3921,  166,  166,  166, 1939, 2124, 1829, 2436, 3892,  166, 3481,  271,
      5307, 1697,  166,  166, 5098, 2906, 5545,  166, 5980, 3203,  166, 1903, 4626, 4674, 6118, 6097,
      5926, 4136, 1677, 3232, 4720,  166,  166,  166,  229, 2012, 3620,  166, 3798,  166,  166, 2609,
      3489, 3809,  166,  166,  166,  166,  166,  166,  166, 5826,  166,  166,  166, 4903,  166,  166,
       166,  166, 6168,  166, 5052, 5044, 5644, 2375, 2677, 4012, 3062, 5831, 4752,  166, 4125, 2610,
      2062, 3238,  292, 2533, 5872,   51,  166, 1947, 4225,  166, 2288, 4845,  166, 5788,  166, 5717,
       166,  166, 5549, 5619,  166, 4165,  166, 2721, 2311, 5501, 4416, 4383,  166,  166, 3068, 5499,
      5936,  166, 4204, 4766, 4688, 1870, 5220,  166,  166,  166,  166,  237, 2523, 6039, 3061, 2793,
      3998,  166, 2545, 2309, 3144, 3679, 3969,  166,  166,  166, 4379, 3574,  205, 2808, 5822,  166,
       166, 2188, 4823, 4990, 5561, 5711,  166, 5627, 6034, 5253, 3783, 5047, 4405,  166,   59, 1755,
      3178,  318,  166, 4710, 2933, 3409, 6062, 2821,  166, 6099,  166, 4178,  166,  166, 4122,   36,
      4779,  166,  166, 4323, 3073, 5410, 2101,  166,  166,   44, 5690,  166, 3265,  166, 5222, 5909,
      1838,  166, 4755, 2215,  166, 4082,  166,  166, 3210, 5140, 3124, 5238,  166, 5913, 2321,  166,
      2416, 5976, 3918, 5078, 4218, 5703, 4897, 6011, 5685, 2214,  166,  166, 6180, 5175, 1715,  166,
       166, 3760, 4497, 1808, 4826,  166, 2540,  166,  166, 5513, 4971, 5915,  166,  166, 2525,  166,
      4480,   42,  232, 2412, 2797, 3229, 5263, 2852, 5543, 2126, 3562,  166, 2872, 4695, 5985, 5136,
      2714, 4262, 5473,  166, 4160, 4347,  166,  166,  166,  166, 5271,  166,  166, 5108,  166,  166,
       166,  166, 5437, 4875, 3963, 4362, 5820, 5559, 4890, 4728,  166,  166, 2692,  166, 4870, 3591,
      5472,  166, 2690,  166, 5854, 3817,  166,  280,  166,  166,  113, 4128, 3396,  166, 4264, 5058,
      2283,  166, 2281, 4916, 5671,  166, 2708,  166,  166, 4589,  166,  166, 4689,  166, 1686,  166,
       166,  166,  166,  166, 1774,  166,  166,  166, 5651, 3777, 2234,  166, 3864,   18, 3589, 4592,
      4777,  166,  166, 5254, 4245,  166,  166,  166, 4368, 5172, 3522,  166, 4306,  153, 5230,  166,
      5598, 5420,  311, 2414, 4159, 2985, 5137,  166, 2179, 1801,  166, 4595, 2083, 2020,  166, 3602,
      2170, 4259, 3048,  166,  166, 4193, 2350,  166,  166, 2702,  166, 4521,  166,  166, 2496,  166,
      4593, 2006,  166,  166, 2292, 4135,  166, 6069, 4623,  166,  166, 4827, 3995, 4291, 3243,  166,
       166,  166, 5622,  166, 3539,  166,  166, 4915, 4373, 2479, 3775, 6008, 5838, 4321, 1612, 5530,
       166, 3773, 4267, 4086, 3081, 2261,  166,  166, 4785, 4641, 5292,  166, 4820, 5612, 5556,  166,
       166,  166, 4396, 6084, 3414,  166, 3331, 2380, 5921, 4315, 2340,  166, 5511,  166, 4713, 3754,
      2912, 2553,  166, 3468, 5388,  166, 1932, 3540, 5834,  166,  166, 3186, 5258,  166, 4107,  166,
       166,  166,  166,  166,  166,  166,  166, 2108,   12, 2368, 2789,  166,  166, 4148, 1878,  166,
       166, 2324, 4179, 2945, 2531,  166,  166,  166, 4485, 3765, 2308,  166, 2754,  166, 6102,  166,
      1921,  260, 2241,  166, 2592,  166,  166,  166, 4964,  166, 3055, 5261, 4943, 2916,  166,  201,
      5728,  166, 5759, 4314, 4730, 6024,  166, 4926, 4762, 1834, 2055,  166,   40,  166, 5416,  166,
      3722, 2360, 1928,  166, 4889, 4590, 5550, 3498,  166, 6003, 2029, 4106, 4346, 3758,  166, 2753,
       103, 1891, 5067,  166, 3398, 2079, 5784, 3074, 3787,  166,  166, 3936,  166, 5766,  166, 4847,
      3928, 5119,  166, 5181, 4602, 2605, 5712, 4523,  166,  166, 4717,  166, 2227, 2181,  166, 4678,
       166,  166, 4901,  166, 4980,  166,  166,  166,  166, 5806, 2894, 5631, 4995, 2608,  166,  166,
       166, 3917,  166, 3417,  166, 2795, 1655, 3189, 3364,  166, 4839, 3510, 4212, 5641, 6091,  138,
       166,  166, 3343, 4620, 2722, 4566,  166, 3518, 3424,  166,  166, 1653,  166, 5057,  166, 5375,
      4833,  166, 4273, 4348,  166,  166,  166, 4912,  166, 3662,  166, 4281,  166, 5169,  166, 5883,
      2737, 2572, 4685, 4068,  166, 4214,  166,  166, 2409,  166,  166, 4571,  166, 5624, 5722, 5949,
       166, 3675,  166,  166, 5109, 3428,  166,  166, 5446,  166, 3290,  166, 3309,  166,  166, 4776,
       166,  166,  166,  166,  166,  166, 5617, 2860,  166,  166,  166,  166, 3629, 1741,  166,  166,
       183, 4973, 3047, 2854,   75, 2035, 3652, 2159,  166, 4150, 6037, 3225, 4519, 1902, 2678, 2413,
      1961,  166,  166,  166,  166, 4972, 1847,  166, 5636, 4017,  166, 3345,  166, 4520,  166, 2861,
       166, 3092, 6060,  157, 2542, 2298, 4496,  166, 2607, 6110, 5707, 2314,  166,  166,  273,  166,
      5952,  166, 4957,  322, 6065, 2272, 6140, 2438, 3458, 3287,  166,  166,  166,  166, 2684,  288,
      3354,  166,  166, 3983, 1702,  166,  166,  166, 2393, 2435, 4202, 3308, 5805, 5085,  166,  166,
      1938,  166,  166, 2171, 5892, 2337,  166, 4648, 3116, 2486, 4363, 3567,  166,  166, 2822, 2041,
       166, 4703, 3956, 5192,  166, 3975, 5720, 3647, 2134, 5932,  166,  166, 5160,  263,  166,  166,
       166, 4549,  166,  166, 1701, 3086,  166,  166, 4737,  166, 2252,  166,  170,  166,  166,  166,
      2301, 5478,  166,  166, 5979, 3007,  166,  166,  166, 4104,  166, 2469, 2700,  166, 4998, 3376,
       166, 1840,  166,  166, 4470,  166, 5235, 3930,  166,  166,  166, 6031,  166,  166,  166, 3827,
      4700,  166,  166,  166,  166,  166,  166, 4103, 3976,  166,  166,  166,  166, 5027, 4322, 5130,
       166, 4741, 2132, 4118, 3080, 4137,  166, 6179,  166,  166,  166,  166,  166, 6120, 4188,  166,
      2251,  166, 3253,  166, 4887,  166, 4293, 5241,  166,  166,  166,  166,  166,  166, 5076,  166,
       166, 4177,  166,  221,  166, 2757, 5377,  166,   43,  166,  166, 3180, 5540,  166,  213, 4541,
       166,  166,  166,  166,  166, 1641,  166, 4578, 4639,  166,  166, 1683, 2139, 1689, 5249, 5773,
      5226,  166, 2820,  166, 5516, 5045,  166, 4896, 5657, 5189,  166, 5770, 2725, 5148,  166,  166,
       166, 2929,  166, 3479,  166,  166, 4564, 3752, 4305, 4232,  166, 5906, 1779,  166, 2709, 4941,
      4342,  166, 4882,  166, 4277, 2322,  166, 4879, 1610, 3038,  166, 3762, 2054, 5652,  166, 4524,
      3820, 4806,  166,  166,  104, 3416, 4869, 4243, 4854,  166, 4114,  166, 2121,  166, 3463, 3556,
       166, 4795,  166, 2118, 3920,  166,  166, 4667, 5046,  166,  166, 2088, 4360, 5787, 2198, 4233,
      5552, 3970, 3523, 2037, 5791,  166,  166, 4299, 2336,  166,  166,  166, 4173, 4588, 3626, 5187,
       166, 3363, 4611,  294, 4962, 5243, 2719, 6022, 4976, 3559,  166, 2662, 5779, 6151,  166, 3527,
       166, 5404, 6132, 1839,  166, 3090,  166, 2253,  166, 5441, 5518, 6049,  166,  166, 6136, 3026,
      3474, 5960,  166, 3937, 4105,  166, 2348, 2039, 4738,  166, 5233, 3882, 3840,  166,  278,  190,
       166, 5751, 4313,  166, 3855,  166,  166, 6171,  166,  166, 5381, 3941,  166,  166,  166,  166,
      3334,  166, 2038, 6088,  166, 1918, 5037, 2325, 2378, 4894, 3514, 3715, 5168,  166,  166, 4083,
      2873,  166,  166,  166, 2693,  166, 3543,  166, 2577, 3013,  166,  166, 4594, 2622,  166,  166,
       166, 3401,  166,  166, 5447, 5328, 5547, 6133, 2335, 3739,  166,  166,  166,  166, 5614, 3492,
      3610, 3466,  166, 5336, 4354,  166, 4662,  166,  166, 4283,  166,  166,  303, 5904,  166, 2717,
       166,  166, 2276, 5564, 2386, 5661, 2040,  166, 1630, 4652,  166, 4840,  166,  110, 5329, 3979,
      5734, 2550,  166,  166, 6007, 5999, 2978, 4771, 5360,  166, 4023,  166,  166, 5920, 4065,  166,
      3880,  166, 5422, 1813,  166, 6166,   73,  166,  166, 3669, 5762, 5077,  166, 2953,   85,  166,
      3517,  166,  116,  166, 2738, 3710,  166, 1634,  166,  166,  166, 2290, 3001,  166,  166, 3037,
      2400, 3410,  166, 1791, 4231,  166, 3546, 5009, 5299, 2807,  166,  166, 1675, 1619, 2374, 3093,
      5302, 3278, 2330, 5301, 2343, 2307, 3274, 5017, 2265, 3700, 2465,  166,  139, 4292,  166, 5056,
      3952,  166, 4528, 2388, 1886,  166,  166, 3016, 3698, 5881,  166, 2379, 3223,  166,  166, 3847,
      2407, 5493, 3183, 3307,  166,  265,  166, 2421, 6161, 2057, 5363, 3863, 2474,  166,  166, 5427,
       166, 2140, 2955,  166, 3070, 4237, 5018, 5988, 5570,  275, 4862, 2357,  166,  195,  166, 2593,
      6047,  166, 2878,  166,  166, 2781, 3004, 4180,  166, 5593,  166, 5973, 2544, 5064,  166, 4324,
      4701,  166, 3084,  166,  166, 5372, 4725,  166, 5650,  166,  166, 2786,  166, 3781, 3583, 3682,
      1850, 4420, 3296, 5173, 4461,  166,  166,  166, 2984,  166,   93,  166,  166, 4336, 5943, 2922,
      3300,  166, 4843,  166,  166,  166,  166, 2094,  166, 2939,  166, 4656,  166, 5146,  166,  166,
       166,  166, 2104, 3977, 4660, 5312,  166, 1865,  166, 5487, 5558, 3380,  166, 1957, 3162, 3281,
       166, 3588, 3268, 2099,  166,  166, 2319, 4913, 4187, 5503, 5782,  150,  166,   52, 5450,  166,
       166,  166, 2941, 5877,  166, 4031, 5393,  166, 3931, 4166, 3135, 3445,  166, 5053, 5430, 4836,
       166, 5315, 3389, 4636,  166,  166, 3441,  166,  166, 3767, 2961,  166, 4761, 4604, 3179,  166,
       166, 4751, 2148, 2015,  166,  123, 5013,  166, 2936,  166, 2063,  166, 5823,  166, 5096,  166,
       166, 4198,  166,  166,  166, 3845,  166,  166,  238,  166, 2703, 3541,  166, 4813,  166, 4477,
      2349, 4197, 5996, 3324, 4789, 3063,  166,  166, 5504, 5273, 2805,   13,  166, 5601, 5402, 4119,
      5206,  166,  166, 4251, 3704, 4176, 1963, 2882,  166,  202, 3125, 3318,  112,  166, 3362, 4835,
      3420, 3974, 5099,  166, 4433,  166,  166,  166, 1766, 2663,  166,  166, 4683,  166,  166, 5485,
        47, 5101, 5341, 5765, 3390, 1648, 4341, 3945, 6045, 1645,  166, 5578, 2594,  166,  166, 3772,
       166,  166, 3196, 3603,  166, 5399,  166, 5075,  166, 5911, 4632, 4781, 5313,  270,  166, 2346,
       166,  166,  166, 1986,  166,  166, 4958,  166,  166,  166, 4048,  166, 3076,  166,  166, 4891,
       166,  166,   57,  166,  220,  166,  166,  166, 4117,  166,  166,  166,  166, 5194, 2658,  166,
       166, 2942, 6071, 4182,  166, 2976, 5816,  166,  166,  166,  166, 3985, 4211, 2514,  166,  166,
       166, 2504, 3446, 1711,  166,  166, 2107, 5190,  166,   34,  166, 3912, 5382, 3003,  166,  166,
       166, 2999, 2404, 4734, 4455, 2087,  166, 2405,  156,  166, 2830, 3303,  296, 3295, 2067, 4268,
       166,  166, 5642,  166,  166, 1901,  166, 5133,  166,  166,  166,  166, 3176, 2973, 4677,  166,
       166, 6164, 3000, 2396, 2734, 5697, 5989,  166, 2823, 5265, 5852,  166,  166, 2623, 2625, 2287,
      4844, 1758,  166,  166,  166,  166,  166, 6073,  166, 5379, 2389, 5279, 2444, 5515,  166, 4038,
       166, 4948, 5640,  166,  166, 3572, 4258,  166,  166,  166, 5204,  166, 4603, 5797,  166,  166,
       166, 1725, 4600,  166,  166, 5498,  166, 4152,  166,  172, 4758,  166, 2598, 2489, 2076, 4366,
      2568,  166, 4352, 3782,  166,  166, 3059, 3946, 5138, 5727, 4484, 5694,  166, 3796,  166,  166,
       166,  166, 5334, 1778, 2245,  166, 4517, 4419, 2250,  182, 5856,  166, 2835, 4495, 1858, 2033,
      6014, 6086, 3211,  166,  166,  154, 2145,  166,  129, 3661, 2661, 5860, 6143, 2640, 3890, 6160,
       166,  166, 2747,  166,  166, 2291,  282, 2476,  166,  166, 3825,  166, 1925,  166, 4489,  166,
       166,  166, 4034,  166,  166,  166,  166,  166,  166,  122, 4708, 4919, 2373, 2453, 5419, 5954,
       297, 5290,  166, 1978,  166, 4932, 3501,  166, 3085, 3386,  166, 5405, 4512,  166, 3209, 5740,
      4020, 5495, 5815,  314,  166, 3190, 4824,  166,  166, 3448,  207, 1623, 6096, 5878,  166, 1836,
       166,  166, 2728,  166, 5278, 3419, 3012, 5618, 5266, 3078,  166,  166, 2244,  166, 4569, 6068,
       166, 3336,  166, 5677, 6052, 5079,  166, 5453, 5245, 5799,  166, 1982,  166, 5958, 4619, 5821,
       166, 5285,  284, 1631, 5710, 6070, 5365, 2189, 3242,  166, 2752, 5483, 5297, 6150, 5522,  166,
      1815,  166,  166,  166, 5801,  166,  166, 5398,  166,  166,  166, 2967, 2515, 3169,  166,  166,
      2562,  166, 1617, 2069,  166,  166, 6154,  166, 3721,  166, 5327,  166,  166,  166, 5592,  166,
       166, 2286, 1716, 3903,  166, 2395,  286, 3587, 6146, 3286, 4186, 5882, 5894, 5737, 6032, 5879,
      2761, 4829, 3788,  166,  166, 3233, 5356, 5693,  166, 2429, 2449,  141, 3444, 5186,  166,  166,
      3477, 4080, 4584,  166,  166, 3670, 1851, 3824, 4337, 3886, 2792,  166, 5867,  166,  166, 3557,
      3147,  166,  166, 2200,  166, 2505,  166, 4310, 4865, 5656, 5992, 5672,  166, 5199,  135, 3023,
      2994, 4472,  166,  166,  166, 2019, 4319, 3472,  166,  166,  166,   29,  206, 3944, 3027, 5804,
      4731, 5449,  166, 2825, 3310,  166, 6172, 5202,  166, 2516, 3644, 4557,  166,  166,  166,  166,
      2671, 4427, 3432, 3276, 5584, 5536, 4645, 3202,  166, 2612,  166, 4249, 2425, 3259, 4622,  166,
      2411, 4303, 4206,  166,  166,  166, 3734, 6063,  118,  166,  166, 3641,  166,  166,  166, 4937,
      1871, 3421, 2208,  166,  166,  166,  166, 4881,  166,  166,  166,  166, 3298,  166,   61,  166,
       166,  166, 3293, 6145,   71, 3619,  166,  166, 3383, 1624,  320, 2187, 4113,  166,  166,  166,
       166,  166, 5080, 2344, 5625, 2358, 1621, 4230, 5579, 5359,  295, 4248, 5267, 3883, 6124,  187,
      5112, 2122,  166,  166,  166, 5142, 6004,  166, 5322, 6175, 3639, 3182, 4425,  166,  175,  166,
       166,  166, 5778, 3939, 3484,  166,  166, 5832, 5248, 5935, 4467, 5858,  166, 5038,  166,  166,
      3102,  166, 4880,  166,  166,  166,  166, 3418, 1666, 5338, 3680, 5291, 4441, 3385,  166, 5733,
      4503, 2774,  166, 2631, 4153,  166, 2000,  166,  166, 5345,  166,  166, 4298, 1804, 4707,  166,
      1613, 1952, 2111,  166,  166,  166,  166,  166, 2897,  166,  166, 4044,  166,  166,  166,  166,
      2863, 5475,  166,  166,  166, 1704,  166, 3609, 2782, 2018,  166, 5361,  166, 3694, 3733,  166,
      2785, 1969,  166,  166, 2834, 1868, 3779, 1877,   60,  166, 4143, 3902,  166, 4361, 3188, 2498,
      6009,  166,  115,  166, 3138,  166, 4575, 6080,  133, 2030,  166,  166,  166, 2306, 2136, 3043,
      3447, 2142,  166, 3799, 1646, 5269, 3640,  166, 2674, 5502,  166, 5467,  166, 5069,  166,  166,
      4654, 4581, 5274, 5036, 4364,  166, 3115,  166, 2128, 4544, 5433, 2086, 2584, 4413,  166,  166,
      5385,  166,  234,  166, 1625,  166,  166,  166, 5139, 2511, 4974, 2766,  166,  166,  166, 2095,
      3990,  217,  166, 2988, 4061,  166,  209, 4883,  166,  166,  166,  166,  166, 4326,  166, 5465,
      2859,  166, 2887,  166, 2231,  166, 1658,  166, 2246,  166, 1844,  166,  166, 3087, 2871, 3872,
      1660,   48,  166,  166, 3622,  166, 1709,  166,  166, 6177, 6173,  166, 3569,  166,  166,  166,
       241, 3660, 3631,  166,  166, 5319, 5141,  174,  166,  166, 4412,  166, 5145,  166, 1919,  166,
      5276,  166, 2385,  166, 1618,  166,  166, 2501,  166,  166, 1734, 5966, 3145,  166, 1690, 4025,
      1664, 4559, 2433, 2392, 3552, 4006, 1896,  166,  166, 2546, 4450, 5396, 4221, 4046,  166,  166,
      2642,  166, 4448,  166, 2784, 3480, 4807,  166,  166, 3534,  166,  166, 5272,  166,  166, 2831,
      4263,  166,  166,  166,  166, 4414, 5628, 3486,  166, 3748,  166, 4598, 3719, 3598, 3611,  166,
      4792, 5059, 4110,  166, 2656,  166,  166,   84, 5429,  166,  166,  166,  281, 1955,  166,  166,
       166, 3616, 4997,  166,  166,  166,  166, 3230,  166,  166,  166,  166,  166,  166,   77,  166,
       166,  166, 1800,  166, 4236,  166,  166,  166,  166,  166, 5757, 2530, 1662,  166, 4607, 1659,
       166, 1685, 3341,  166, 1699, 4058, 3407, 1854, 4417, 3034,  166,  166,  166,  166, 5568,  166,
      3206,  166, 5529,  166,  166,  166, 2116, 3487,  144,  166,  166,  166, 5523, 5373, 5321,  166,
      6064, 2921,  166, 1696, 2473,  166,  166, 3716, 5689,  166, 4608, 3879,  166,  166,  166, 2156,
       166, 4358, 2446,  166, 3958,  166, 5520, 4340, 4848,  166, 3285,  166, 2665,  166, 3459, 1905,
      5115,   68, 5730,  166, 3127, 5029, 4370,  166, 3753,  166, 3674, 6025, 4490,  166, 4183,  166,
        94,  166,  166, 4051, 3766, 3140, 4907, 3857,  166,  166, 4596,  166, 3888, 3040, 2507, 5643,
       166,  166, 4311, 2618, 5582,  166,  166, 3678,  166, 1988,  166,  166, 4464,  166,  166,  166,
       166, 4278, 3677, 2173, 5256,  166,  166, 5162,  166, 5178, 1644, 5094,  166, 2557, 5506,  166,
       166,  166, 4927, 5348, 1797,  166,  166,   39,  166, 3866, 3655,  236, 5403, 2175, 3361,  166,
      1976, 5993,  226,  166, 4643,  166, 5339, 4098, 2653, 4969,  166, 3346, 4984, 4635,  166,  166,
       166,  166, 4981,  188,  166,  166,   28, 4088,  166,  166,  166,   25, 3663, 2696,  166, 4679,
      5114, 5802,  166,  166,  166,  166,  166, 3810, 5749,  166, 1673, 4276,  166, 3756, 4184,  166,
      5630,  166,  166,  166, 4531,  212, 5663,  166,  166, 2746,  166, 5386, 3618, 3594, 1887,  166,
       166, 5443,  166, 1726, 4094, 5065, 4756,  166,  166, 5308, 5225, 2081,  166,  166, 3064,  166,
       166, 1981, 3637, 4355, 1626,  166,  166, 4686,  166, 5793,  180, 5066, 2938, 3819, 4904, 3601,
       166,  166, 2495, 5025, 5768, 2621, 4650, 3041,  166, 5897, 3633,  166,  166, 4375,  166, 5714,
      1667, 3273, 3950, 1668,  166, 5855,  166, 2364,  166, 1881,  166, 2646, 5460,  166, 2770, 4951,
      5414,  166, 4442, 2113, 5726,  298, 5934, 2053,  166,  166, 4053,  166,  166, 4514, 4697,  166,
       166, 5198, 2707,  166, 5605,  166,  166, 5218, 2596,  166, 2110,  166, 1806, 2160,  166,  166,
      2212,  166, 3636,  166,  166, 4377, 4021, 3707, 4502,  166, 4195,  166,  166,  166, 4108, 3725,
      3676,  166, 2084,  166,  166,  166,  166, 4216,  166,  166, 6156,  166, 2896,  166,  166,  166,
       166,  166,  166, 3826, 2870, 3793,  166,  166, 5927,  166, 2759,  166, 4613, 2297, 5638,  166,
      2842, 5031, 4793, 5184,  166,  166, 2008,  166,  257, 2881,  117, 6051, 3044, 4079, 2833,  166,
      6117,  166, 3236, 5469,  166,  166, 2874, 6076,  166, 1799,   80,   41,  166, 1864,  166, 5709,
      1611, 5026, 5176,  168, 3269, 4081,  166,  166, 1970, 4550,  166, 4250, 4101, 4565, 5950, 5845,
        97, 4064,  166, 5394, 4374, 4343,  166,  166, 4658, 3248,  166,  208, 1735, 4047, 2843,  166,
       166,  166,  166, 2794,  166,  166, 5844,  166,  166, 3094, 2177, 5436, 3646,  166, 3564, 4682,
       166, 5948, 5835,  162, 2059, 5151, 2034, 1926, 5941, 5903, 5177,  166,  166,  166, 4801, 3439,
      1780,  166,  166, 3280, 3434,  166,  166, 4498, 5565, 4043,  166, 4432, 4722, 3959,  166, 3746,
       166,  166,  177,  166,  166, 2748,  166, 4483,  166,  166, 4144,  166,  166,  166,  166, 2066,
      2915,  166, 2049, 2130, 4684,  166,   49, 3506, 5391,  166, 2590, 6103, 1714, 2410, 3053, 3837,
      4301,  166, 3255, 2644,  166,  166, 4014,  166, 2475, 4788, 2876,  166,  166,  166,  166,  166,
       166, 4140,  166,  166,  321,  166, 1966,  166,  166, 2855, 3111, 3800,  166, 4446, 2551,  166,
       166,  166, 2824,  166,  166,  166, 2164, 3010, 2226,  166, 4857,  166, 2582, 5118, 4582, 5917,
       166,  166, 3338, 3482, 3328,  166, 4817,  166, 5371, 3830,  166, 3009, 1633, 3329, 4052,  166,
      3701, 4983, 4500, 4487, 4878,  166,  166, 5482, 3544,  166, 3057, 2026, 4398, 2847, 3532, 3262,
      3399,  166,  166,  166, 4478, 4167,  166, 3411, 2599, 5362,  166, 2711,  166,  166,  166,  166,
      3452, 2522, 5586, 5548, 3279, 2538,  166,  166,  166, 4161,  166, 2123,  166,  166, 2660,  166,
       166, 1706,  166,   15, 3537, 5051, 5869,  166, 3025,  166, 4447, 3744,  120,  166,  166,  166,
       204, 2810,  166, 5124, 2376, 5306,  166,  166, 4493,  166,  166,  166, 5289, 6046,  166, 2762,
      2541, 1857, 2467, 5163,  166,  166,  166,  166, 5830,  166, 2172, 3359,  166, 2928,  166,  166,
       166, 6129,  166, 5445,  166,  166, 5924, 6144,  166,  102,  166,  166, 1678,  166, 4491, 5705,
       166, 1753,  166, 3873, 5725, 4145, 1909,  166, 2155,  166,  166, 1848, 3315, 1874,  166, 4945,
      2524,  166, 3263, 2362, 1785,  166,  166,  166,  152, 2102, 5723, 5131, 5754, 4032, 4029,  166,
      4295, 3391,  166,  166,  166, 5282, 1747, 3159, 2235, 5583, 1786, 3630, 6111, 2974, 4797, 3623,
       166, 2071, 4929,  166, 2603, 3964, 3378,  166,  166, 2654,  151, 3940, 4527, 4518,  166, 2430,
      1884, 3812,  166, 2867,  166,  166,  166, 2756, 5418,  166, 2354, 4606,  166, 2153,  166, 4855,
       166,  166, 1720,  166, 3213, 3926,  166, 5158, 4349,  166, 4828,  166,  166, 2031,  166, 2300,
       166,  166,  166, 2211, 4954, 3121, 4754, 2485,  166,  166,  166, 3593,  166, 2718, 5317, 2765,
      5120,  166, 2527,  166, 1994, 5947,  166,  166,  166, 6085, 2302,  100,   79, 2982, 3705, 2180,
      2043,  166, 1872, 1671,  166, 3729,  166, 4944, 3665, 2217, 2119,  166, 5615,  166, 1620,  166,
       166,  166,  166,   35, 3913, 2760,  166, 3688, 3672, 4042,  166,  166, 5117, 4227,  166, 4445,
      2458, 3803, 4554, 4988,  166,  166, 3141, 3491,  166,  166,  166,  166, 5095, 4668, 5567,  166,
       166, 2885, 1790, 2996,  166,  166,  166,  166, 3737,  166, 2470,  166,  166, 4339,  166,  166,
       166, 4920,  166,  166, 3697, 5471,  166,  166, 3538, 4558, 3467, 5262, 5609, 3858,  166,  166,
      5007, 2780, 2791, 2236, 5668, 3134,  166,  166, 5776, 3470, 3291,  166, 2532,  166,  166,  166,
      3805,  264,  166, 3227,  166,  166,  166, 2334,  166, 5087,  101,  166, 3634,   58, 2813,  166,
       166,  166, 3222, 4704, 4488, 4508, 5459, 2117, 5873,  166, 1828,  166,  166,  166,  166,  166,
      2105,  166, 5613, 5761, 2920, 3098,  166,  166, 3277,  166,  166,  166,  166,   83,  166,  166,
       166, 3967,  166, 5574,  166, 4985,   30, 3426,  166,  179, 3014, 4015,  246, 2556, 4449, 3723,
      5611, 3436,  166, 4240, 3642,  166, 4536, 2048, 5810,  166, 1971,  166, 5557, 5323, 5022,  191,
      5492,  166, 4837, 4426, 2537, 2271, 3177, 5674,  166, 2796, 1995,  166, 3906,  166, 4403, 3862,
      4716, 2406, 3948, 4670, 4309,  166, 2575, 5358, 2951,  166, 3666, 3612, 5577, 4579, 4743,  166,
      6072, 6036, 4563, 2586,  166, 5836,  166,  166, 5752,  166, 3563,  166, 2909, 3251,   92,  166,
      4711, 4149,  166,  166, 3052, 5122, 2904, 2635, 1990,  166,  166,  166,  166,  166,  166,  166,
       166, 4213,  166, 3103, 3142, 2683, 6105, 2209, 3175, 4215,  166,  166,  166,  166,  166,  166,
       166, 5303, 4075, 5374,  166, 4174, 4154, 1895, 4538, 2764,  166, 5817, 6113, 4033,  166, 6090,
       166, 2990,  166, 3164,  166,  166,  166,  247,  166, 6083, 3412,  166, 5738,  166, 3599,  166,
      1904, 2162, 2547, 3960,  166,  166, 3154,   55,  166, 5991, 4921, 2879,  166,  166, 5347,  166,
       166,  166, 2712, 4787,  166, 1908,  166,  166,  166, 3184,  166,  166,  166, 4572, 3846, 3657,
       166,  166, 5481,  166,  166, 3397, 1856, 4978,  166, 3900, 3570, 3802,  166,  166, 2075, 4408,
       166, 6079, 2313,  166,  166, 5756,  166,  166, 2070,  166,  166, 3137,  166,  166, 3686,  166,
       166,  166,  166,   67, 5019,  166, 1742,  166, 5354,  166, 5149,  166, 2931, 4946, 6006,  166,
       166, 2865, 4902, 3029, 1722, 3449,  166, 1987,  166,   62, 5626,  166,  166,  166, 2670, 1657,
      5599, 3056,  166, 3791, 5020,  166, 1979, 4437, 1899,  166,  166,  196, 2636,  166,  143, 3475,
      4317, 2512, 2415, 5033, 5024, 2112, 2864, 3551,  166, 1688,   33, 4585, 3648, 4399,  166,  166,
       166,  166,  166, 1824,  166,  166,  166,  166,  166,  166, 4513,  166, 2478, 4407,  166,  166,
      2492, 4130, 4318, 2980, 5746,  166, 2606, 4063, 4123,  166,  255,  166,  166, 4680,  166, 3586,
      5975, 3935,  166, 5528,  166, 3158,  166,  166, 2614, 5035,  166, 3488, 3214,  166,  166,  166,
      5413, 3713,  166, 5875, 4329, 5250,  166,  166, 3741,  166,   54, 1885, 3839,  166, 4924,  166,
       166,  166, 4158,  166,  166, 2152, 1661,  166,  166, 4327,  166, 3933,  166, 5666,  166,  166,
      2580,  166, 3404, 4111, 2862, 4438,  166,  166, 4072,  166,  166, 3938, 2958, 4302,  166, 3851,
       166,  268,  166,  166, 1975,  222, 3204, 3438, 4616,  166, 4275, 3101, 2648, 3989, 5215,  166,
      4229,  166, 5440,  166, 5093, 2639,  166,  166, 4439,  166, 2316, 4239,  166,  166,  166,  166,
       166, 1817, 4486,  166, 3272,  166,  166, 4085, 2078, 2902,  166,  166,  166, 4381, 1853, 3054,
       166,  166, 5005, 2669,  166, 2856, 2706,  166,  166,  166, 4185,  166, 1748,  166,  166,  166,
      5771,  166,  166, 3915,  166,  166, 2205, 6122,  166,  166, 1632, 5400,  166, 2477, 4740,  166,
       166,  166, 1802,  166, 2472, 3953,  166, 1849, 2604, 3780, 2560, 4786, 2566, 3576,  166, 4768,
       166, 1951,  251, 5068,  166,  166,  166, 2619,  166,  166,  166, 5432,  166,  166, 5260, 5758,
      3908,  166, 4141,  166, 5777,  166,  166,  166,  166,  166, 3961, 5143,  166, 3889, 3747, 3743,
       166, 2818,  166,  166,  166, 3867,  166,  166, 3742, 4763, 2948, 5533,  166, 3966, 3555, 3843,
      3503, 6005,  166, 4687, 2790, 4479, 5828, 3769, 5688,  166,  166,  166,  166, 3109,  166,  166,
       166,  166, 4574,   81,  166,  166, 4576, 3369,  166,  166,  166, 4207,  166, 5072, 2210,  166,
       184,  166, 4673,  166,  166,  166,  166,  166,  166, 1628, 3590, 1916, 4784, 4970,  166, 1832,
       166,  166, 3584, 3384,  166,  166, 2880, 1783,  166,  166,  166,  166, 6115, 6121, 2157, 5428,
      5859, 4861, 5635, 4331, 5839, 4223,  313,  166,  166, 6152, 2168,  166, 4112, 6089, 6012,  166,
      5294, 3207,  166,  166, 4884,  166, 4655,  166,  166,  166, 1743,  166, 4077,  166, 4631,  166,
       166, 2957, 1945, 4936,  166,  166, 5389,  166,  166, 5955,  166,  166, 1639, 2207, 4129,  166,
      3582, 5560, 6147, 3088,  166,  166, 4529, 5259, 3118,  166, 3106, 2853,  166, 1845, 5660,  166,
      3325, 3973, 2461, 2163,  166, 3083, 4190,  166,  166, 5505,  166,  166, 3226, 5507,  109, 6141,
      3991,  166, 4939,  166,  166, 5889, 3986,  166, 3664, 4353, 2056,  166, 5071,  166,  166, 4376,
       166, 1958, 2028,  166,  166, 1793,  166, 5252, 3536,  166,  166, 3525, 3580,  166,  166,  166,
      1782, 5174, 2011, 1826, 3352, 3231,  166,  166, 4986, 2068, 2801,  166, 2500,  166, 5061,  166,
      2263, 2632, 1993,  166, 2715, 4424,  166,  166, 6042, 4661,  166, 5074, 5479, 4822,  166,  166,
       166,  166, 5600, 5853,  166, 1907,  166,  166,  166, 3808,  166, 5997, 5032, 4605,  166, 1732,
       166,  166,  166, 3015, 5454,  166,  166,  166, 3806, 5444, 2238, 1946,  166,  166, 3221, 4922,
       166, 6092,  166,  166, 4007,  166, 3425, 4282, 2571,  166, 1749,  166,  166,   38, 4744, 4900,
      4257,  214, 5687,  166, 2490, 2979, 2924,  166, 4714,  219, 5344, 3836, 3302,   78, 1984, 2986,
      2960,  166, 2869, 3507, 3335, 4967, 2892, 2723, 4849, 5070,  166,  166, 4629, 3815,  166, 4453,
      4760,  166, 3224,  130,  166,  166,  166,  166,  166, 3408, 2494, 2691,  166, 4325, 2932, 5165,
      5573,  166, 4769,  166, 5411, 5637, 2050,  166,  166, 2305,  166,  166, 4834,   24, 4693, 3554,
      2491, 1738,  166,  166,  166,   23, 2758, 3072, 2564, 4800, 5537, 3545, 4133,  166,  166,  166,
      5982,  166,  203,  166,  166,  290,  185,  166, 3774, 1929, 3379,  166,  166,  166,  166, 3002,
       166, 3738,  166,  166, 3344, 4942, 5353, 2777, 2839, 4712, 1830, 2664,  166, 5884, 3516,  166,
      5494, 4169, 2391, 3319,  166,  166, 5918, 2597,  166, 4821, 2787, 5719,  166,  166,  166, 1687,
      6148, 3257,  254,  166, 5180, 6153, 5964,  306,  166, 6123,  166, 5208,  166, 3163, 5938, 1736,
       166, 2502, 4910,  166,  166, 2549,  166, 2900, 3632, 3270,  166, 2082, 5953,  166,  107, 5750,
       166,  166,  166, 5527, 1751, 4168, 2950,  166, 2659,  166, 4189, 1943, 2595,  166, 4191,  166,
       166,  166,  166, 2998, 2296, 5221, 3617,  166, 5435, 2451, 2009, 3005, 2242, 3768, 3658,  166,
       166,  166,  166,  166, 2481, 2256,  166,  166, 4074,  166, 3120,  166, 4409, 1759,  166,  166,
      1679, 3659, 3499, 5219, 4501, 3082, 2047,  166,  166,  166, 4560, 2768, 5251,  166,  166,  166,
      2437, 3993, 3215, 2447,  166,  166,  166, 2993, 4963,  166, 3045,  166,  166,  166,  166,  166,
       166,  166, 5521,  166,  166, 4868,  166, 3895,  166, 6131, 3949, 3306, 3785,  166,  166, 4895,
      4831,  166, 1772,  166,  166, 5928,  166, 2137, 4805, 2462,  310, 2667, 3561,  166,  166, 2312,
      4931, 5255,  166,  166,  166, 5670,  166, 2285,  166, 4672, 5310,  166, 2103, 2174,  166,  166,
       166,  166, 5417,  166, 4726, 4203,  166,  166,  166, 5581,  166, 5665,  166,  166, 5747,  166,
       166, 2509, 1973, 2749, 5463,  166,  166, 4567, 5014,  166, 3322, 3051,  166, 4090,  166, 3709,
      3887, 3478,  166,  166,  166,  166, 3565, 3934,  166,   32,  166,  166,  166, 2239,  166, 3947,
      3849,  166, 2022,  166, 2169,  166, 4691,   98,  166, 3804, 4155, 1640, 4002,  166, 2138, 1739,
      3730, 5970, 2274, 4873, 3119,  166, 4925, 3577, 3699, 4049, 3982,  166, 5161, 1744,  166,  166,
       166, 5704, 4979, 2686, 5383, 5744, 2289,  166,  166,  166, 3927, 2539,  166,  166,  166, 2585,
       166, 4723, 3755, 4509,  166, 4961, 2194, 2535,  166,  176,  166, 4494,  166, 4171,  166,  266,
       166, 3454, 5369,  166,  166, 5899, 5284,  166, 3607, 3566, 5514,  166, 1843,  166, 3997, 4599,
      2743,  166, 2857, 2497, 2751,  166,  166,  166, 3511, 5742,  166,  166,  166, 4504,  166,  166,
       166, 5082, 4401,  166,  166, 5431,  166,  166, 1949, 4539,  166,  166, 4852,  166,  166, 3457,
       166, 3433, 4669,  166, 1692, 2454, 3258, 6159,  166,  166,  166,  166,  166, 2788, 4350, 3249,
      3816, 4893,  166, 4846,  166, 4993, 1708, 4138,  166, 2895, 2891,  166, 1860,  166, 2480, 1927,
      3853,  166,  166,  166, 5100,  166, 3143, 5159,  166, 4286, 5182, 5246, 4975,  166, 2905,  166,
      4917, 5102, 2044, 6016, 5673, 2005, 5090,  166, 4634, 3333,  166, 5702, 3413, 1762, 6094, 4284,
      4431, 2641,  166, 4463, 5691,  166,  166, 3442, 3473, 4192, 2046,  166, 3838,  166, 3217, 3349,
       166, 2243,  166, 3490,  166,  166,  166, 5922,  166,  166,  166, 4885, 1798, 2884, 2750, 5004,
      2741,  166,  166, 5649,  166, 4410,  166,  166, 3382,  166,  166, 1913, 1703, 5532, 3770,  166,
      5116, 2645, 2634, 4357, 5901,  166,  166, 5538,  166,  166,  166, 6028,  166,  166, 5840, 4102,
      2704, 2091, 5287,  166, 4757, 2282,  166, 2650, 3528,   64,  253, 3732,  166,  166,  166,  166,
       166, 3465,  166,  166,  166, 5848, 3110,  111,  166,  166, 3403, 2926, 6030, 3366, 1948, 4430,
      5509, 3250, 3972, 2587, 3579,  166, 6048,  250, 5275, 4242, 2615, 3112, 3558,  166,  166, 2342,
       166, 5157, 1917, 2733, 5647, 1934, 5675,  166, 3981, 2923, 5213, 5326,   37,  166, 5288, 3069,
       166, 1923, 5755,  166,  166,  166, 1888,  166, 6041, 5895, 5376, 3727, 3901,  166, 5589,  166,
       166, 4609,  166,  166,  166, 4706,  166, 4482, 1622,  166,  171,  166,  166, 4646, 4151, 2755,
      4614,  166, 2072, 5409, 4469, 1647, 4434, 4633, 1915,  166, 3615, 4808,  166, 3388,  166, 5280,
      2731,  166,  166, 2417,  166,   14,  166, 4533, 5126,  166, 2778, 3022,  166,  166,  166, 4830,
      4764,  166,  166,  166, 4982,  166, 4265,  166, 2466, 5678,  147, 1883,  166,  166,  166,  114,
      4000, 2427, 3597,  166, 4853, 5981,  166, 2023, 2519,  166, 1937, 2221, 4676,  166, 4522, 5716,
       166, 2432, 5731,  166, 6020, 6163, 4351, 2442, 4380,  166, 4390, 1882, 6139, 4246,  262,  166,
      1676, 5781, 2352, 1956,  200,  166,  166, 5800, 6184,  166, 2355,  149, 5962, 5524, 4238,  166,
      5150,  166, 5888, 2423,  166, 5739, 3192, 4142,  166,  166,  166, 3201,  161, 4460, 2459,  158,
       166,  166,  166,  166, 2689,  166,  166,  166,  166, 1889,  166,  166, 3374,  166,   70,  166,
      2772,  166, 2995,  166, 2384, 4989,  166, 3299,  166,  166,  166,  166, 3614, 3645, 3415, 3160,
      1727, 3735, 5201, 1693, 3531,  166,  166, 1776, 3871,  166,  166,  166,  166,   86, 3553,  166,
       166,  166, 3392,  166,  166, 2232,  166, 4977, 2333, 3394, 2875, 2027, 5736,  166, 1719,  166,
      4952, 2061, 2150, 5526,  166, 4637,  166, 4333,  166,  166, 4733, 4809, 3911,  166, 3460,  166,
      5355, 3126, 4181, 4436,  300,  166, 3841,  166, 4770,  126, 5654,  166,  166,  166, 1730,  166,
       166,  166, 5610,  166, 6002, 2197, 3807, 6109,  166,  166,  166,  166,  166, 5395, 4004,  166,
        46,  166,  166, 2570, 4736, 5318, 4247,  166,  166,  166, 2293, 3031, 4591,  166,  245,  166,
      5510, 1616, 3117, 4163,  166,  166, 4759, 3462, 4819, 4947,  166, 3128, 5946, 2278, 2969,  166,
       166, 5183,  166,  166, 1729,  173, 2448,  166,  230, 2971,  166,  166, 5397,  166, 4093, 3348,
      1866, 4280,  166, 6067, 3794,  166,  166,  166, 4729,  166, 3456,  166, 2394,  166, 4953,  166,
       166, 2258, 4863,  166,  166, 4060,  166, 5468,  305,  166, 6134,  166,  166, 2326,  166, 3453,
      2167, 2845,  166,  166,  166, 5597,  166,  166,  166,  166, 5462, 2809, 5994, 2899,  166,  166,
       166, 5153,  166,  166, 1638,  166,  166, 4938, 3795,  166, 3842,  166,  166,  166, 2769, 3194,
       166, 4745, 5508, 5604, 3910,  166,  166, 4147, 3239,  166,  166, 3548, 3859, 2092,  166, 2705,
       166,  166, 3625, 4131,  166, 3513,  166,  166, 2987, 4555, 3107,  166,  166,  166,  166, 5713,
      4698, 3079,  166, 5342,  166,  166, 2673, 2517, 2745, 1795,  166,  166,  166,  166,  166,  166,
      2463,  166,  166, 2445, 5425, 6138,  166, 2687, 3254, 5871,  166, 2387, 4300,  166,  166, 3529,
      1996,  166, 2369, 3818, 6126, 1615, 2643,   65, 4297,  166, 5324, 3311, 3852,  166, 3868, 4199,
      3978,  166,  166,  166, 5466,  166,  166,  244,  166, 5929, 6157, 2390, 5639, 2267, 2073, 4610,
      5774, 2521, 4556,  166, 4545, 4307, 2426, 2450,  166, 5783, 4968, 6176, 4156,  166,  166, 4126,
      3549,  166, 3581, 5701, 3234,  166, 4013, 1879,  166, 6104, 5874,  166,  166, 3485, 4279, 2528,
      5576,  166, 3992,  166, 3980, 4934,  166, 2176, 4228, 5164, 3784, 1933, 4120, 5055,  166,  166,
      5015,  166,  166,  166, 2310, 1754,  166, 6087,  166,  166, 4548, 5268, 2930,  166, 3656,  166,
      3042, 5229,  166, 4016, 2195,  166,  166,  166,  199, 1745, 3717,  166,  166,   74, 2668,  252,
      4124, 4657, 5223,  166, 2186, 3628,  166,  166,  166, 4222, 3114, 2841, 5103, 3171, 5135,  166,
       166, 2273,  166, 3899, 5332, 5842, 3575, 2579, 2431, 2464, 2229, 3604, 4561, 2977, 2815,  166,
      3916,  166, 5825,  166, 1694,  166, 4030,  166, 5841,  166, 3881, 1831,  166, 5525, 3011,  166,
      5535, 5217,  316, 4116,  166,  166, 2204,  166, 3136, 3650,  166, 5813, 1875, 4511, 4475,  166,
      1999,  166, 2277,  166, 3024, 5484, 5546,  166, 3988, 5676,  166, 2213, 2264, 5214,  166, 4940,
      5974,  166, 4750, 6077,  166, 1652, 3148,  166,  166,  166,  166, 2554,  166, 6167, 5257, 5300,
       166,  166,  166,  166, 5408,  166,  166, 3402, 2141,  166, 4663, 5633, 3312,  166, 2814, 4930,
      1959,  166,  166,  166, 3861,  166,  166,  302, 2624,  166,  166,  166, 1629, 1724,  166, 3909,
      5281,  166, 2001, 4395, 5352, 4428, 2694, 4850,  166,  166, 5242, 5910,  166,  166,  166,  166,
       166, 3212,  166, 2045,  166,  166,  166,  166,  166,  166, 3017, 4960, 4456,  166, 5616, 6093,
      2151,  166,  166,  166,  315, 3381,  166,  166,  166, 4330,  166, 6158, 4721, 6075,  166,  166,
       166, 4543, 2303,  166,  166, 3301,  166, 5000, 3929, 2543, 3437,  166,  166,  166, 3422,  166,
      5987, 5729, 2428,  166, 4035, 5588, 3714, 3834, 5264, 5743,  166, 3305, 4886, 6107, 5156,  166,
       166,  166,  166,  166, 1672, 5849, 5827, 5049, 6101, 2178, 2420, 3289,  166,  166, 4274, 6017,
      2257,  166, 4172, 3451, 2367, 2382,  166, 2964, 4918, 3241, 2347, 6082,   99, 2383,  166, 4454,
       163, 2460,  165,  304, 1818, 5580,  166,  312, 5790,  293, 5794, 5519, 5083, 3360, 5748,  166,
      3750, 5034,  166,  166,  166, 1863, 3168,  166,  166,  166, 5111,  166,  166,  166,  166, 2183,
      4510,  166,  166, 3495, 4382, 4235, 4462,  166, 4056, 5885,   17, 5028, 1614, 6038,  166, 2488,
      5632, 3089,  166, 1940,   66, 4039, 3999,  235,  166,  166, 3829, 3954,  166, 2365,  269,  166,
       166,  166,  166,  166,  166, 4418, 1796, 4709, 2004,  166, 3596, 5786,  166, 2819, 4624, 3152,
      2968, 2838,  166, 5575, 1767, 5603,  166, 4386, 5890,  166, 1768, 4201, 3560,  166,  166,  166,
      2184, 2262, 2966, 2716, 1765, 2611, 2983,  166, 4164, 4084,  142, 5314,  166,  166, 4071,  166,
      2578, 2849, 3600,  166,  166,  166,  166, 5401, 4814, 3431,  166, 5088, 5084,  198,  166, 3578,
      3764,  166, 2097,  166,  166, 5390, 4443,  166, 3166,  166, 4816,  166,  166,  166,  166, 3130,
      5963, 1788, 2129, 1837, 4100, 6128,  166, 4586, 5945, 4772,  166, 5741, 3151, 3247, 5645, 4507,
      5833, 3904, 6013, 2506, 3050, 4175, 1705, 3019,  166, 5942,  166, 2418, 3430, 2230, 5745,  166,
      2093,  166,  166,  166,  166, 4666, 3246,  192, 2010, 4003, 3533, 5851,  166, 3621, 3684, 3066,
       166,  166,  166, 5073, 3856,  166,  166, 2224,  166, 2637, 4270,  166,  166, 5679,  166, 5792,
      5850,  166, 2589, 3060, 2196, 3476, 3150, 2025,  166,  166,  166, 2657,  166, 3685, 3790, 5587,
      2817, 3692,  166,  166,  166, 2359, 2260, 5896, 2158,  119, 2816, 5753,  166, 2739, 5772,  166,
      2919, 2147, 1985, 4271, 4838, 4991,  166,  166,  166, 5244,  166,  319,  166,  166, 2779, 4732,
      4994, 5424,  166,  166, 3968, 3049, 3393, 4473, 4959, 5967, 5864, 5170, 4209,  166, 4810, 4815,
      4205, 2339, 5023, 2279, 5050,  166, 5837,  132,  166,  166,  166, 2247,   21, 4775,  166,  166,
      5286,  166, 4170, 4099, 4803, 5767,  166,  166,  166, 5811, 2240, 5699, 2499,  166, 4802,  166,
      5785,  166,  166,  166, 3181, 3435,  166, 3339,  166, 5669, 3865, 2249, 5002,  166, 4694, 5461,
      4753,  166, 3157,  166, 1960,  166,  166,  166, 2440,  166, 5818, 5534, 2439, 1717,  166, 3789,
      2959,  166, 2943,  166, 2576,  166, 2002, 2007, 1819, 3256, 4402, 5311, 3832,  160,  166,  166,
      2803,  166, 3264,  166, 5863,  166, 2017,  166, 2798,  166,  166,  166,  166, 5607, 4965,  166,
       166,  166, 4537, 4378, 5944, 3494, 5457, 5602, 1942, 5900, 5780, 4411, 5147,  166, 4966, 2115,
       155, 2827, 1980, 5063,  166,  285, 5912, 3304, 2963, 5179, 3220,  166,  166,  166, 2190, 3708,
      5476, 1944, 2366, 3893,  166,  166,  166, 3759,  166, 5434, 2740, 1707, 4244, 5426,  166,  166,
       166, 3155,  166, 4285,  166,  166,  166,  166, 5721,  166, 3833, 6001,  301,  166,  166, 2574,
       186, 2724,  166, 1873, 3667,  166, 5216,  166, 2935, 2100, 4987,  166, 2284,  166,  166, 2911,
      3828, 4009,  166, 2065,  166, 5496, 6130, 5563, 4387,  166, 3771, 3469, 2989, 2222, 4577, 3965,
      4296, 2975, 3813, 3240,  166, 4780, 4481, 3387, 2338,  166, 6183,  166,  166,  166,  166,  166,
      2675, 1761, 2600, 5167, 3170, 4773, 2165, 5166,  166, 2223, 4642,  166,  166, 4540,  166,  166,
       166, 3897,  166, 2483, 1809, 5477, 3844, 4067, 2508, 2275,  166,  166,  166,  166,  166, 3497,
      5458,  166,  249, 2956,  166, 4651,  166,  283,  166,  166, 4955, 4062, 2315, 2304, 3261, 2361,
      4791, 4389, 1997,  166, 3455,  166,  166,  166,  166,  166,  166, 4746, 5695, 5296,  105, 1841,
      3368,  166,  166,  166, 5228,  166, 3496, 4423, 2024, 3907, 4774,  166,  166,  166,  166,  166,
      2294, 2193,  166,  166,  166,  166,  166,  166,  166,  166, 4393,  166,  166, 2127,  166, 4573,
       166, 5350,  166, 5016, 3372,  166, 5653,  166, 5972, 4719,  166,  166,  166,  166,  166, 5370,
       166, 6142,  166,  166, 3691, 2828,  166, 2601,  166, 2937, 2060, 3654, 3097, 2341, 5325, 4568,
      4096, 2776,  166, 2946,  166,  166,  166, 5843, 1777, 5295, 2837, 4261, 4397, 5006, 5808, 4866,
       166, 1713, 5732, 2954,  166,  166,   27,  166, 4308, 5629, 2652, 2434, 4474,  166, 4928,  166,
      4727, 3811,  166,  166, 5234,  166, 6010,  166, 4911,  166, 4570,  166, 6000, 3450, 5304, 3919,
       166,  166, 4008, 3942,  166,  272, 2363, 2064, 3595, 3505,  166,  166, 3957, 1695, 2452, 4659,
       166, 1792,  166,  131, 5968,  166, 3731, 3905, 4115,  166,  166, 2468,  166, 2727,  166, 3526,
      4724,  166, 4388, 3149, 5539, 5092, 4440, 6162,  166,  166,  193, 4429, 2493,  166,  166, 3683,
       166, 6029,  166,  277,  166,  166,  166, 5240, 2408,  166,  309, 2561,  210,  166, 5200,  166,
       166,  166, 1930, 5692, 2697,  166,  166,  166, 3330, 5331, 3860,  166,  166, 4335,  166,   50,
      3605, 4289, 1763,  166,  166,  166,  166, 3521,  166,  166,  166, 3668,  166,  166,  166,  166,
       166, 3271, 1656,  166,  166, 4782,  166, 2962,  166, 5907,  166, 3245, 3375, 2944, 5933,  166,
       166, 5406, 5655, 3139, 5423,  166, 4359, 5231, 2548,  166, 3831, 2858, 5488,  166, 5824,  166,
       166,  166, 3885, 4372,  166,  166, 4024,  166, 4811, 2970,  166, 4219,  211,  166, 3471,  166,
       166,  166,  166, 3854,  166, 3358, 2877,  166,  166, 5205, 2804,  166,  166,  166, 4452,  166,
       166,  166,  166, 3776,  166,  166, 3075, 4208,  166, 5623, 1974,  166, 2647,  166, 3235,  166,
       166,  166, 5211,  166,  166, 4304, 2206,  166, 4157, 2182,  166, 1816, 2626,  166, 2893, 2248,
       166,  166,  166,  166, 1983, 5648,  166,  194,  166, 2106, 4328,  166, 4742,  166,  166, 5572,
      2329, 3314,  166, 6181,  166,  166,   26,  166, 6026,  166,  166, 2114, 1669, 4735,  166,  166,
      4256,  166, 1861,  166, 5470, 2317,  166, 4404, 2482,  166, 5305, 4415, 5986, 4949, 5412,  166,
      1728,  166, 1898,  166,  166, 4909, 1989,  166,  166,  166, 2836, 2051,  274,  166, 2799,  166,
      5865, 1663, 4705, 5121, 2555,  166, 4316, 4287, 1880, 1825,  166, 3689,  166, 1733, 5012,  166,
       166, 2237, 4471, 1682, 2910,  166, 5366,  166,  166,  166,  166, 4532,  166, 2802,  166,  166,
       166, 4057, 2471,  166, 2889,  166,  166, 4026, 5682, 3091,  166, 1977,  166, 2901, 6137, 5658,
        88, 2318, 1965,  166, 5914,  166,  166, 4468, 1822,  166, 6050, 5956, 2201,  166, 4644, 2918,
       166, 3703,  166,  166, 3524, 4220, 2913, 4210,  166,  166, 2090,  166, 1906, 1911,  166,  166,
      3671, 2370,  166, 2552,  166, 3763, 2259, 1924,  166, 5940,  166,  166,  166, 3185, 3821, 4069,
       261, 2381, 3244,  166,  166, 5715,  166, 2052, 5905,  166, 2403,  166, 3030, 2199,  166, 3550,
       166,  166, 1846,  166,  166,   95,  166,  289, 3208, 2559, 5195, 5091, 1654,  166, 1781, 1892,
       166, 4516, 2629,  166, 1700, 3067,  166,  166,  166, 2080, 1680,  166,  166,  166, 5700,  166,
      1820, 5491,  166, 4226,  166,  166,  166,  166, 4653,  166, 3508,  227, 5364,  166, 2098,  166,
       299,  166, 5795,  166,  166,  166,  166, 3690, 4134, 5517, 4534, 5042, 4874, 5798, 4234,  166,
       166,  166,  166, 3702,  166,  166, 3638, 3108, 3850,  166,  166,  166,   16,  166, 1775,  166,
      4022,  166,  223, 4095,  166, 5127, 4266,  166,  189,  166,  166, 5203,  166, 1805, 3884, 3778,
       166,  166, 2146, 4818,  166, 2848, 3440, 4506, 5886, 3006,  218,  166, 2377,  166, 4091, 5925,
       166, 4320,  166, 2701, 3036,  166,  166,  166, 4715,  166, 3801,  166, 3161,  166, 2077,  166,
      4254, 3032,  243, 1814,  166,  166,  166,  166,  166,  166,  166,  166, 1835,  166, 4394,  166,
      5769, 4923,  166, 2917,  166,  166,  178,  166,  166, 1723,  166, 5887,  166, 4956, 2952,  166,
      4665, 3925, 3443, 3123,  166,  166,  166,  166,  166,  166, 5144,  166, 4288, 2074, 2192, 5442,
      6043, 1746, 2016, 5995, 2203,  166, 5686, 5659, 3193,  166, 4055,  166,  166, 2233, 3571, 5809,
      5984, 2323,  166,  166, 1740,   89, 4356, 6053, 6106, 3282, 4796,  166, 6116, 6056, 2353, 2829,
       166, 5807, 2042,  166,  166,  166, 1670, 5937, 4465, 5646,  166, 5562, 3008,  166, 2419, 3736,
       166, 4132,  169,  166,  166,  166, 2402,  166,  166, 1968, 2398,  166, 1684, 1827, 4551, 2679,
      3875,  166, 5585, 3835, 2295,  166, 1991, 1803, 2992,  166,  166, 5847, 2649,  166,   76, 5415,
       166, 2269, 2397, 5387, 5337, 4422,  166, 2672, 4832, 4617,  166,  166,  166,  166, 4552,  166,
      4612, 1750,  166, 1931,  166, 1691, 2424, 4194, 6018,  166,  166, 4458, 4856,  166, 2089, 3814,
       166, 2844,  166, 3592,  166, 4867, 5128,  166, 2685,  166,  166, 2616, 1972, 2617, 3943, 4664,
       166, 4999,  166,  166,  145, 3635,  166,  166, 4851,  166, 3483, 5039,  166, 3649, 3924,  166,
       166,  166, 3105, 4260,  166, 6098,  166, 3568,  267, 2456, 3653, 2096,  166,  166,  166, 3512,
       166, 3405,  166, 3504,  166,  166,  166, 4005, 2144, 1769,  166, 5474, 1920, 5554,  215, 2443,
      3351,  166, 5961,  166,  166,  166,  166,  242, 2331,  166,  166, 5931,  166,  166, 5862,  166,
      1710,  166,  166,  166, 3321,  166, 4139,  166,  166, 3515, 2732, 2510, 5544,  166,  166, 2783,
       166,  166,  166, 4018, 4649, 5789,  166,  166,  166,  166,  166, 2726, 6074,  166,  166,  166,
      5684,  166,  166, 3395,  166, 3100,  166, 5763, 3757, 1992,  166, 3198, 2003,  166,  166, 4675,
       166, 1893, 5621,  166, 2270,  166,  166,  166, 5421, 5590, 5664, 4045,  166, 3687, 4406, 2699,
      1811,  167, 4036, 5384,  166,  166, 4601, 1823, 4041,  239, 1954,  166,  146,  166,  166, 3077,
      5152, 5814, 1649, 5681,  166, 5868,  166,  166, 3792, 4860,  166, 5335, 5110, 1718,  166,  166,
       166,  166, 3718, 3365, 2826,  166,  166, 5021, 4783,  166, 5569, 5812,  166,  166, 1876,  166,
      3260,  166, 1789, 5667, 4224,  166,  166, 4385,  166,  166, 2620,  166, 4162, 2883, 2143, 5497,
       166,  166, 5316, 5680,  166,  166,  248, 4050,  166, 6021,  166, 2898, 4618,  166,  166,  166,
       166,  166, 5368,  166, 5378, 1842, 1914, 3696, 3962,  166, 4345, 2581, 1773, 2109,  166, 4371,
       166,  166, 3761, 5277, 5870, 3146,  166,  166,  166, 5764,  127, 3058, 4059, 4718,  166, 5097,
      5040, 5351, 3205,  166,  166, 4996, 2991, 2014,  166, 5846, 2558, 2688, 5595, 4027, 3347, 2125,
      5696, 5608,  166,  166, 3228, 3745, 5775,  166, 1757, 4647,  166, 5977, 3020,  166,  240, 2565,
       166, 4459,  166, 3367,  166,  166,  166, 3104,  166,  166,  166,  166,  166,  166,  259, 5486,
      2846,  166,  166,  166, 4778, 2713,  166, 3955, 5683, 2682, 2914, 5898,  166,  166,  166, 4400,
       317,  166, 5185, 3021, 5983, 4332, 3891,  166, 3095, 5003,  166,  166,  166, 5367,  166,  279,
      1784, 4019, 2736, 4905, 2651, 5346,  166, 4841,  166, 5606,  166,  166, 2806,  166, 5239,  166,
       166, 3237, 5490,  166,  225,  166,  166, 2254,  166, 2742, 4587,   22,  166,  166,  166, 5555,
       166,  108, 2927, 2218,  166, 2120,  166, 5452, 4087, 4369,  166,  166,  166,  166,  166, 4583,
      4338, 6035, 2840, 4365, 3624,   11, 1770,  166, 4630,  166, 3216,  166,  166,  166, 4638, 4699,
      3535, 2536, 4627,  166,  166, 5760, 1935,  166,  166, 5210,  166, 2219, 2484, 4597, 5193, 4799,
      3706,  166,  166,  166,  166, 3337, 3113, 5951, 4294,  166, 4040, 3200, 4217, 5861, 2767, 3530,
      4499, 2775, 4121,  134, 5939, 5880, 5908, 3869,  166,  166, 3316, 6095, 2441, 3288,  166, 3751,
      4794,  166,  166, 5803, 6169, 2356, 6182, 6135, 6127,  166, 3018,  166, 1674,  166,  166, 4097,
       166, 5923,  287, 5965, 5129,  166, 4078,  166,  166, 6114, 6015, 5990, 3573,  166, 4146, 2681,
        90, 6055, 4864,  166,  166, 6119, 3284, 6054, 5456, 5113, 6125,  166, 6057,  166, 3292,  166,
       166,  166,  166,  166, 6185, 5105, 1760,  166,  166,  166, 2720,  166, 2695, 5448,  166, 1936,
       166, 1807, 3406,  166,  166, 2161, 1642,  166, 5030,  166, 2036, 5451, 3427,  166,  166,  166,
       166, 3797,  166, 1627,  166, 4515,  166,  166,  166, 4241,  166,  166,  166, 2771,  166,   31,
      5197, 2638, 3035,  166,  166, 3914,  166,  166, 4546,  166,  166,  166, 4253, 3500,  166,  166,
      2526,  166, 2698,  166, 3726, 2744,  137,  166,  166, 2676,  166, 5594,  166,  166,  166, 4842,
       166,   63, 2888, 3585, 4798,  166, 5011,  166, 5634, 5464,  166,  166, 5620, 3894, 4070,  166,
      2730,  166,  166, 1810, 2503, 5957, 1721, 6066, 5188,  166,  166, 1890, 4505, 1771, 5455,  166,
      3132, 3984,  166,  166, 2811, 1962,  166,  166, 4872,  106, 3898, 3267,  166, 2085,  166, 4950,
      6040, 4525, 6044, 5866, 3613, 2907, 4615, 2135,  258,  166, 1681, 1941, 4888,  166, 4859, 6178,
      6174, 4858, 5209, 1912, 3340,  166, 4640, 5706,  166, 2763, 3153, 3951,  166, 5542, 5596, 5819,
      5330, 5048, 4037,  166, 6033, 4625, 3326, 2013, 5283,  136, 3373, 2154,  166,  166,  166, 4421,
       166, 5438, 2627, 2266, 2320,  166, 2588, 4790, 4290,  166, 4767, 5829, 2925, 5916, 2133,  166
  };

  short eval_5hand( const int *hand )
  {
    int c1, c2, c3, c4, c5;

    c1 = *hand++;
    c2 = *hand++;
    c3 = *hand++;
    c4 = *hand++;
    c5 = *hand;

    return( eval_5hand_fast(c1,c2,c3,c4,c5) );
  }

  // This is a non-optimized method of determining the
  // best five-card hand possible out of seven cards.
  // I am working on a faster algorithm.
  //
  short
  eval_7hand( const int *hand )
  {
      int i, j, q, best = 9999, subhand[5];

    for ( i = 0; i < 21; i++ )
    {
      for ( j = 0; j < 5; j++ )
        subhand[j] = hand[ perm7[i][j] ];
      q = eval_5hand( subhand );
      if ( q < best )
        best = q;
    }
    return( best );
  }


// Initialize the 2+2 evaluator by loading the HANDRANKS.DAT file and
// mapping it to our 32-million member HR array. Call this once and
// forget about it.
void InitTheEvaluator()
{
  bool success = true;

  memset(HR, 0, sizeof(HR));
  FILE * fin = fopen(HANDRANKSFILE.c_str(), "rb");

  if(fin)
  {
    // Load the HANDRANKS.DAT file data into the HR array
    std::cout << "reading " << HANDRANKSFILE << std::endl;
    size_t count = fread(HR, sizeof(HR), 1, fin);
    fclose(fin);

    if(count != 1) success = false;

    if(success) std::cout << HANDRANKSFILE << " read" << std::endl;
    else std::cout << HANDRANKSFILE << " has to be created" << std::endl;
  }
  else success = false;

  if(!success)
  {
    generateTable();
    writeTableToFile();
  }
}

// Given a group of 7 cards, return the hand category & rank. Let
// pCards be (a pointer to) an array of seven integers, each with
// a value between 1 and 52.
int GetHandValue(const int* pCards)
{
    int p = HR[53 + *pCards++];
    p = HR[p + *pCards++];
    p = HR[p + *pCards++];
    p = HR[p + *pCards++];
    p = HR[p + *pCards++];
    p = HR[p + *pCards++];
    return HR[p + *pCards++];
}

//
//   This routine initializes the deck.  A deck of cards is
//   simply an integer array of length 52 (no jokers).  This
//   array is populated with each card, using the following
//   scheme:
//
//   An integer is made up of four bytes.  The high-order
//   bytes are used to hold the rank bit pattern, whereas
//   the low-order bytes hold the suit/rank/prime value
//   of the card.
//
//   +--------+--------+--------+--------+
//   |xxxbbbbb|bbbbbbbb|cdhsrrrr|xxpppppp|
//   +--------+--------+--------+--------+
//
//   p = prime number of rank (deuce=2,trey=3,four=5,five=7,...,ace=41)
//   r = rank of card (deuce=0,trey=1,four=2,five=3,...,ace=12)
//   cdhs = suit of card
//   b = bit turned on depending on rank of card
//
void init_deck( int *deck )
{
    int i, j, n = 0, suit = 0x8000;

    for ( i = 0; i < 4; i++, suit >>= 1 )
        for ( j = 0; j < 13; j++, n++ )
            deck[n] = primes[j] | (j << 8) | suit | (1 << (16+j));
}


} //end of namespace PokerEval