Simulations:
3.16, 3.17: Simulations and Algorithmic Efficiency
What is a Simulation?
- A simulation, in context of computer science, is a digital representation of a situation in the real world.
- Examples:
- Experiments: When an experiment is to dangerous to perform in the real world or too expensive, a simulation can be made of it and be performed digitally.
- Training and Education: Simulations such as flight simulators and medical simulation can be very practical in aiding dangerous proffesions to receive training.
- Video Games: Some video games try to aim to be as releastic as possible with physics and graphics to try to simulate the real world.
Simple Dice Roll
```python
import random
def roll_die():
# Gives random integer between 1 and 6
return random.randint(1, 6)
# Defines the variable "result" as the result of function roll_die()
result = roll_die()
print("Roll:", result)
```
Roll: 2
Dice Roll
```python
import random
def roll_die():
# Gives random integer between 1 and 6
return random.randint(1, 6)
def main():
# Allows user to control how many rolls are executed
num_rolls = int(input("How many times would you like to roll the die? "))
# Makes sure that the entered value is a valid integer
if num_rolls <= 0:
print("Please enter a valid number of rolls.")
return
print("Rolling the die", num_rolls, "times:")
for i in range(num_rolls):
roll_result = roll_die()
print("Roll", i + 1, ":", roll_result)
if __name__ == "__main__":
main()
```
Rolling the die 3 times:
Roll 1 : 3
Roll 2 : 5
Roll 3 : 5
## Popcorn Hack #1
-Create a similation that generates a random number using the random library and randint like shown above. Be creative.
```python
#Enter code here
import random
def test_score():
return random.randint(1, 100)
result = test_score()
print("Your test score is:", result)
```
Your test score is: 76
## 3.17 Algorithmic Efficiency
- A problem is a general description of a task that can (or cannot) be solved algorithmically
- A decision problem is a problem with a yes/no answer
- An optimization problem is a problem with the goal of finding the "best" solution among many
- Efficiency is an estimate of the amount of computational resources used by an algorithm
- An algorithm's efficiency is determined through formal or mathematically reasoning
One way do demonstrate how algorithmic efficiency can be used to improve a program is through a simple sorting program.
## Bubble Sort
Bubble Sort is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements, and swaps them if they are in the wrong order. The pass through the list is repeated until no swaps are needed, which means the list is sorted.
```python
def bubble_sort(list):
n = len(list)
for i in range(n):
for j in range(0, n - i - 1):
if list[j] > list[j + 1]:
list[j], list[j + 1] = list[j + 1], list[j]
import random
list = [random.randint(1, 10000) for _ in range(10000)]
bubble_sort(list)
print("Bubble Sorted listay is:", list)
```
Bubble Sorted listay is: [1, 1, 2, 2, 3, 4, 7, 8, 8, 9, 10, 10, 13, 14, 14, 16, 16, 17, 19, 21, 22, 23, 23, 24, 26, 30, 32, 32, 35, 37, 38, 43, 46, 50, 53, 53, 53, 55, 55, 55, 55, 59, 61, 64, 67, 67, 67, 68, 68, 68, 69, 71, 71, 72, 73, 74, 74, 76, 77, 81, 81, 82, 83, 83, 84, 85, 85, 85, 86, 88, 89, 89, 91, 92, 94, 94, 94, 95, 96, 97, 98, 99, 100, 100, 100, 103, 103, 104, 104, 105, 107, 108, 109, 109, 110, 110, 113, 113, 114, 114, 114, 115, 115, 118, 118, 118, 119, 119, 120, 121, 122, 125, 126, 126, 126, 132, 134, 135, 135, 136, 138, 139, 141, 141, 142, 142, 142, 142, 143, 144, 144, 145, 148, 148, 149, 150, 151, 152, 154, 155, 155, 158, 159, 160, 164, 164, 164, 165, 166, 167, 168, 168, 169, 169, 170, 171, 172, 173, 175, 175, 175, 177, 177, 178, 179, 180, 180, 182, 183, 184, 185, 187, 187, 189, 192, 192, 193, 194, 194, 194, 195, 195, 196, 197, 197, 198, 198, 198, 200, 201, 203, 204, 204, 205, 207, 207, 208, 209, 210, 211, 212, 213, 214, 214, 214, 217, 217, 217, 219, 219, 219, 220, 220, 221, 221, 224, 225, 227, 227, 227, 228, 228, 229, 232, 233, 234, 235, 235, 238, 238, 240, 241, 242, 243, 243, 245, 245, 246, 247, 247, 247, 248, 254, 255, 257, 257, 258, 259, 259, 261, 262, 263, 264, 266, 266, 266, 268, 268, 268, 270, 270, 272, 272, 272, 273, 274, 276, 277, 277, 278, 278, 279, 280, 280, 281, 283, 284, 284, 286, 286, 291, 293, 294, 296, 296, 298, 300, 302, 302, 303, 304, 304, 306, 307, 308, 309, 311, 311, 313, 314, 316, 318, 318, 319, 319, 320, 320, 321, 322, 323, 323, 324, 324, 325, 325, 327, 329, 329, 330, 330, 335, 335, 336, 338, 339, 342, 342, 343, 343, 345, 346, 349, 351, 353, 354, 355, 356, 356, 356, 357, 357, 359, 359, 360, 361, 363, 364, 364, 365, 368, 369, 369, 370, 371, 372, 373, 375, 375, 376, 376, 377, 378, 379, 380, 380, 380, 383, 386, 390, 391, 393, 393, 394, 395, 395, 397, 398, 398, 399, 400, 400, 402, 403, 404, 405, 405, 406, 406, 407, 408, 408, 408, 409, 412, 413, 414, 414, 414, 415, 416, 417, 417, 418, 420, 420, 420, 421, 421, 423, 425, 425, 426, 426, 427, 428, 432, 432, 433, 434, 434, 434, 437, 439, 439, 440, 440, 440, 442, 443, 444, 444, 445, 445, 446, 448, 450, 450, 451, 453, 453, 454, 455, 456, 456, 457, 458, 458, 459, 460, 461, 462, 463, 465, 465, 466, 467, 467, 468, 468, 468, 469, 471, 471, 471, 474, 478, 480, 480, 481, 481, 481, 482, 483, 484, 485, 486, 486, 487, 488, 489, 489, 493, 493, 495, 495, 495, 496, 496, 499, 499, 500, 500, 506, 506, 507, 508, 511, 511, 513, 514, 515, 515, 517, 517, 520, 520, 521, 523, 524, 524, 525, 525, 526, 528, 529, 530, 531, 532, 533, 533, 537, 539, 539, 541, 542, 543, 545, 546, 549, 549, 550, 552, 553, 553, 553, 554, 555, 556, 556, 556, 556, 557, 558, 558, 559, 560, 561, 561, 563, 564, 565, 565, 566, 569, 570, 570, 570, 572, 576, 577, 580, 580, 582, 582, 582, 583, 583, 583, 584, 584, 584, 585, 586, 586, 587, 587, 588, 589, 590, 591, 591, 592, 593, 595, 595, 597, 599, 600, 604, 606, 607, 609, 609, 609, 610, 610, 611, 611, 612, 613, 613, 614, 614, 617, 617, 618, 620, 620, 621, 622, 623, 624, 625, 629, 629, 631, 632, 633, 633, 633, 634, 636, 638, 642, 645, 645, 646, 648, 648, 648, 649, 649, 649, 650, 653, 656, 658, 659, 659, 659, 660, 660, 660, 660, 661, 663, 664, 665, 665, 667, 667, 668, 669, 669, 671, 671, 672, 674, 675, 676, 676, 676, 677, 678, 679, 680, 680, 682, 683, 685, 687, 689, 690, 691, 691, 693, 693, 695, 695, 697, 697, 698, 699, 701, 702, 702, 702, 705, 706, 709, 710, 710, 711, 715, 718, 719, 719, 719, 720, 720, 721, 721, 722, 722, 724, 725, 725, 727, 728, 729, 730, 730, 731, 733, 734, 736, 736, 738, 740, 740, 741, 744, 746, 746, 748, 748, 748, 751, 751, 753, 754, 754, 754, 756, 756, 756, 757, 757, 757, 759, 759, 760, 760, 761, 761, 762, 762, 762, 762, 763, 765, 765, 766, 766, 767, 767, 767, 768, 769, 769, 770, 770, 771, 771, 772, 773, 773, 774, 777, 778, 779, 780, 781, 781, 781, 781, 781, 789, 790, 790, 790, 792, 794, 796, 797, 798, 798, 798, 799, 800, 801, 804, 805, 806, 806, 807, 807, 807, 808, 808, 809, 810, 811, 811, 813, 813, 813, 814, 814, 814, 814, 814, 815, 816, 818, 819, 820, 821, 821, 822, 823, 823, 825, 826, 827, 827, 827, 827, 830, 831, 831, 832, 833, 833, 834, 835, 835, 835, 837, 838, 839, 840, 843, 843, 844, 844, 845, 846, 846, 847, 848, 848, 857, 860, 861, 863, 864, 864, 864, 865, 868, 869, 871, 875, 875, 877, 877, 877, 877, 878, 878, 882, 883, 885, 887, 888, 889, 889, 890, 891, 891, 895, 896, 897, 899, 899, 899, 900, 900, 901, 904, 904, 904, 904, 904, 906, 907, 908, 908, 909, 910, 911, 912, 913, 914, 914, 914, 915, 916, 916, 916, 919, 920, 922, 923, 923, 923, 924, 926, 927, 928, 929, 929, 929, 930, 930, 930, 931, 932, 933, 933, 933, 935, 937, 941, 941, 943, 945, 946, 947, 947, 948, 949, 951, 952, 952, 952, 954, 957, 958, 958, 959, 959, 959, 961, 961, 961, 962, 962, 964, 966, 967, 968, 969, 972, 972, 973, 973, 974, 976, 976, 976, 977, 977, 980, 980, 982, 983, 987, 988, 989, 989, 990, 990, 991, 992, 993, 993, 993, 994, 996, 997, 997, 999, 999, 1000, 1000, 1001, 1004, 1005, 1005, 1008, 1009, 1013, 1014, 1015, 1016, 1017, 1017, 1018, 1018, 1018, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1025, 1027, 1027, 1030, 1032, 1032, 1034, 1036, 1037, 1038, 1039, 1039, 1040, 1040, 1041, 1041, 1041, 1042, 1042, 1044, 1046, 1047, 1047, 1048, 1048, 1048, 1048, 1048, 1051, 1051, 1052, 1053, 1054, 1054, 1054, 1054, 1054, 1055, 1055, 1056, 1059, 1060, 1061, 1061, 1063, 1063, 1064, 1065, 1065, 1066, 1068, 1070, 1070, 1070, 1071, 1072, 1072, 1073, 1074, 1075, 1075, 1076, 1077, 1078, 1081, 1084, 1085, 1087, 1088, 1090, 1091, 1093, 1094, 1095, 1095, 1096, 1097, 1098, 1101, 1101, 1101, 1102, 1103, 1105, 1107, 1110, 1111, 1111, 1112, 1112, 1114, 1117, 1118, 1119, 1119, 1119, 1120, 1120, 1121, 1124, 1125, 1125, 1127, 1127, 1127, 1127, 1130, 1131, 1132, 1135, 1139, 1139, 1141, 1144, 1145, 1146, 1146, 1146, 1148, 1149, 1150, 1153, 1154, 1155, 1156, 1157, 1157, 1157, 1158, 1158, 1159, 1160, 1161, 1162, 1164, 1164, 1164, 1165, 1166, 1167, 1167, 1167, 1168, 1169, 1170, 1170, 1172, 1175, 1178, 1179, 1179, 1180, 1181, 1181, 1181, 1181, 1181, 1182, 1182, 1187, 1188, 1189, 1190, 1192, 1195, 1196, 1196, 1197, 1199, 1200, 1200, 1200, 1200, 1201, 1201, 1202, 1205, 1206, 1207, 1207, 1208, 1212, 1212, 1212, 1213, 1214, 1214, 1217, 1218, 1219, 1221, 1221, 1223, 1223, 1224, 1224, 1225, 1227, 1230, 1230, 1231, 1232, 1233, 1234, 1235, 1235, 1235, 1236, 1236, 1237, 1238, 1239, 1239, 1240, 1243, 1244, 1245, 1245, 1246, 1246, 1246, 1247, 1247, 1247, 1248, 1256, 1257, 1259, 1259, 1260, 1262, 1262, 1263, 1264, 1265, 1265, 1267, 1270, 1271, 1271, 1272, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1279, 1279, 1280, 1283, 1284, 1286, 1286, 1287, 1288, 1288, 1289, 1289, 1290, 1290, 1290, 1291, 1292, 1292, 1294, 1294, 1296, 1296, 1296, 1297, 1300, 1300, 1301, 1301, 1303, 1303, 1303, 1305, 1306, 1308, 1314, 1314, 1315, 1316, 1316, 1316, 1317, 1318, 1318, 1318, 1318, 1321, 1322, 1323, 1324, 1325, 1326, 1328, 1333, 1333, 1333, 1333, 1333, 1336, 1336, 1337, 1337, 1338, 1339, 1339, 1339, 1342, 1342, 1343, 1345, 1346, 1347, 1347, 1349, 1350, 1350, 1351, 1352, 1352, 1353, 1353, 1355, 1357, 1358, 1359, 1360, 1360, 1362, 1362, 1362, 1363, 1364, 1366, 1367, 1367, 1369, 1371, 1372, 1372, 1373, 1373, 1374, 1377, 1377, 1378, 1378, 1382, 1384, 1385, 1385, 1386, 1386, 1387, 1387, 1389, 1390, 1393, 1393, 1394, 1396, 1396, 1396, 1397, 1397, 1398, 1398, 1399, 1402, 1403, 1404, 1405, 1405, 1406, 1409, 1409, 1410, 1411, 1412, 1412, 1415, 1415, 1416, 1419, 1419, 1419, 1420, 1420, 1422, 1422, 1424, 1427, 1427, 1430, 1435, 1436, 1437, 1438, 1439, 1439, 1440, 1440, 1441, 1441, 1442, 1443, 1444, 1445, 1451, 1452, 1454, 1454, 1458, 1458, 1459, 1460, 1460, 1460, 1463, 1463, 1463, 1465, 1466, 1467, 1467, 1467, 1470, 1470, 1474, 1476, 1478, 1479, 1480, 1482, 1482, 1483, 1485, 1486, 1487, 1489, 1490, 1491, 1494, 1495, 1497, 1497, 1498, 1498, 1498, 1498, 1500, 1500, 1501, 1507, 1507, 1507, 1507, 1508, 1509, 1510, 1510, 1512, 1513, 1514, 1514, 1515, 1515, 1516, 1517, 1517, 1518, 1519, 1519, 1521, 1522, 1525, 1525, 1525, 1529, 1530, 1530, 1530, 1531, 1533, 1533, 1534, 1535, 1538, 1538, 1538, 1539, 1539, 1539, 1541, 1541, 1541, 1542, 1543, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1552, 1552, 1553, 1554, 1554, 1554, 1554, 1556, 1557, 1558, 1558, 1560, 1562, 1563, 1566, 1566, 1567, 1568, 1570, 1571, 1571, 1572, 1572, 1573, 1575, 1575, 1576, 1577, 1578, 1579, 1579, 1579, 1580, 1580, 1583, 1583, 1583, 1585, 1586, 1587, 1588, 1589, 1590, 1590, 1591, 1591, 1592, 1593, 1594, 1596, 1596, 1596, 1597, 1597, 1598, 1601, 1601, 1603, 1603, 1603, 1604, 1605, 1605, 1605, 1607, 1607, 1608, 1608, 1608, 1608, 1610, 1611, 1611, 1615, 1617, 1618, 1618, 1618, 1620, 1620, 1621, 1621, 1622, 1622, 1623, 1623, 1624, 1624, 1625, 1625, 1625, 1626, 1626, 1629, 1633, 1635, 1638, 1638, 1642, 1642, 1643, 1644, 1644, 1645, 1646, 1647, 1648, 1648, 1648, 1648, 1651, 1651, 1653, 1654, 1655, 1657, 1657, 1658, 1660, 1661, 1661, 1662, 1662, 1662, 1663, 1663, 1663, 1665, 1666, 1666, 1668, 1670, 1671, 1672, 1673, 1674, 1674, 1675, 1676, 1678, 1681, 1681, 1683, 1685, 1687, 1690, 1690, 1691, 1691, 1693, 1693, 1693, 1696, 1696, 1697, 1698, 1700, 1701, 1702, 1702, 1702, 1703, 1705, 1705, 1706, 1706, 1709, 1710, 1711, 1711, 1712, 1712, 1713, 1714, 1720, 1721, 1721, 1722, 1723, 1723, 1726, 1727, 1728, 1728, 1728, 1729, 1730, 1730, 1731, 1735, 1738, 1738, 1740, 1742, 1744, 1744, 1744, 1747, 1747, 1748, 1748, 1753, 1754, 1754, 1754, 1756, 1757, 1758, 1759, 1759, 1761, 1762, 1762, 1763, 1764, 1765, 1765, 1765, 1766, 1767, 1767, 1768, 1768, 1769, 1770, 1771, 1773, 1773, 1774, 1774, 1775, 1775, 1775, 1776, 1778, 1780, 1786, 1787, 1788, 1792, 1793, 1793, 1796, 1796, 1796, 1796, 1798, 1799, 1799, 1803, 1803, 1804, 1804, 1806, 1808, 1809, 1810, 1811, 1811, 1812, 1814, 1815, 1816, 1817, 1817, 1821, 1822, 1822, 1823, 1823, 1825, 1825, 1827, 1827, 1828, 1828, 1830, 1830, 1832, 1833, 1835, 1836, 1836, 1837, 1839, 1839, 1841, 1842, 1843, 1844, 1844, 1845, 1848, 1848, 1849, 1850, 1850, 1850, 1851, 1853, 1855, 1856, 1857, 1857, 1857, 1858, 1859, 1859, 1860, 1860, 1860, 1862, 1864, 1864, 1865, 1867, 1868, 1868, 1868, 1869, 1870, 1871, 1871, 1872, 1873, 1874, 1874, 1874, 1876, 1877, 1877, 1877, 1878, 1880, 1881, 1882, 1882, 1882, 1885, 1886, 1888, 1889, 1889, 1890, 1892, 1893, 1894, 1896, 1897, 1897, 1899, 1899, 1900, 1902, 1903, 1904, 1905, 1905, 1907, 1909, 1909, 1909, 1912, 1912, 1914, 1914, 1915, 1916, 1917, 1919, 1920, 1921, 1922, 1925, 1926, 1926, 1927, 1928, 1928, 1929, 1930, 1931, 1935, 1935, 1935, 1936, 1936, 1937, 1937, 1938, 1938, 1939, 1940, 1941, 1942, 1942, 1942, 1942, 1943, 1944, 1944, 1947, 1947, 1951, 1951, 1952, 1952, 1953, 1953, 1953, 1955, 1955, 1958, 1959, 1960, 1962, 1965, 1966, 1967, 1968, 1969, 1970, 1970, 1970, 1971, 1972, 1972, 1974, 1975, 1975, 1976, 1980, 1980, 1982, 1982, 1982, 1985, 1986, 1987, 1990, 1992, 1996, 1996, 1996, 1997, 1998, 1998, 1998, 2002, 2003, 2004, 2004, 2004, 2006, 2007, 2007, 2011, 2011, 2013, 2014, 2015, 2015, 2015, 2016, 2017, 2019, 2019, 2019, 2019, 2020, 2021, 2023, 2023, 2023, 2025, 2025, 2025, 2027, 2029, 2029, 2030, 2031, 2031, 2031, 2032, 2033, 2033, 2034, 2034, 2034, 2036, 2036, 2040, 2041, 2042, 2042, 2043, 2044, 2044, 2044, 2046, 2046, 2048, 2050, 2050, 2052, 2053, 2054, 2057, 2057, 2057, 2057, 2058, 2058, 2059, 2059, 2060, 2062, 2062, 2063, 2065, 2065, 2067, 2067, 2068, 2069, 2069, 2069, 2070, 2071, 2072, 2072, 2073, 2078, 2079, 2080, 2081, 2081, 2082, 2083, 2084, 2084, 2086, 2087, 2089, 2089, 2090, 2090, 2097, 2100, 2100, 2102, 2105, 2106, 2106, 2107, 2108, 2108, 2109, 2110, 2111, 2111, 2111, 2112, 2114, 2114, 2116, 2116, 2116, 2116, 2117, 2117, 2119, 2120, 2120, 2120, 2122, 2123, 2123, 2123, 2124, 2126, 2126, 2128, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2135, 2136, 2136, 2136, 2138, 2138, 2138, 2139, 2139, 2140, 2141, 2141, 2141, 2142, 2143, 2144, 2145, 2145, 2147, 2147, 2148, 2149, 2152, 2153, 2153, 2153, 2156, 2156, 2156, 2157, 2158, 2161, 2164, 2166, 2167, 2168, 2168, 2169, 2169, 2170, 2172, 2174, 2176, 2176, 2177, 2177, 2177, 2177, 2178, 2179, 2181, 2183, 2183, 2184, 2185, 2187, 2188, 2188, 2190, 2191, 2191, 2192, 2193, 2194, 2196, 2199, 2199, 2201, 2201, 2202, 2202, 2203, 2203, 2205, 2206, 2206, 2206, 2207, 2208, 2210, 2210, 2211, 2212, 2213, 2214, 2214, 2214, 2214, 2215, 2216, 2220, 2221, 2224, 2224, 2226, 2226, 2227, 2227, 2227, 2229, 2230, 2230, 2231, 2231, 2233, 2233, 2234, 2234, 2234, 2235, 2235, 2237, 2237, 2239, 2241, 2242, 2243, 2244, 2247, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2253, 2254, 2254, 2255, 2255, 2255, 2256, 2256, 2258, 2260, 2260, 2261, 2262, 2262, 2262, 2263, 2263, 2264, 2265, 2266, 2267, 2267, 2267, 2270, 2272, 2272, 2272, 2272, 2273, 2273, 2273, 2274, 2275, 2276, 2277, 2277, 2277, 2278, 2278, 2278, 2278, 2278, 2279, 2279, 2279, 2280, 2281, 2284, 2284, 2289, 2289, 2290, 2291, 2293, 2295, 2296, 2297, 2297, 2298, 2298, 2300, 2300, 2304, 2305, 2305, 2305, 2305, 2307, 2308, 2308, 2308, 2310, 2311, 2312, 2314, 2315, 2316, 2316, 2316, 2317, 2318, 2321, 2321, 2322, 2323, 2324, 2325, 2330, 2331, 2331, 2332, 2332, 2334, 2335, 2335, 2335, 2335, 2335, 2337, 2339, 2339, 2339, 2340, 2342, 2342, 2343, 2343, 2345, 2348, 2350, 2351, 2351, 2353, 2354, 2357, 2357, 2358, 2359, 2360, 2362, 2366, 2367, 2367, 2368, 2368, 2369, 2369, 2370, 2370, 2371, 2373, 2374, 2375, 2375, 2375, 2375, 2376, 2377, 2377, 2377, 2377, 2378, 2379, 2379, 2380, 2380, 2382, 2383, 2384, 2385, 2385, 2385, 2387, 2387, 2387, 2392, 2392, 2393, 2393, 2394, 2395, 2397, 2398, 2408, 2409, 2410, 2411, 2411, 2411, 2412, 2412, 2413, 2414, 2414, 2414, 2416, 2418, 2419, 2420, 2420, 2420, 2423, 2424, 2429, 2429, 2430, 2431, 2433, 2435, 2436, 2436, 2437, 2437, 2437, 2439, 2441, 2441, 2441, 2442, 2445, 2445, 2447, 2450, 2450, 2451, 2453, 2454, 2454, 2455, 2457, 2458, 2459, 2459, 2460, 2460, 2464, 2465, 2466, 2467, 2467, 2467, 2468, 2469, 2470, 2472, 2473, 2474, 2475, 2477, 2477, 2479, 2480, 2482, 2482, 2482, 2485, 2486, 2488, 2488, 2489, 2492, 2495, 2497, 2498, 2500, 2500, 2501, 2504, 2504, 2504, 2505, 2505, 2505, 2508, 2509, 2509, 2510, 2510, 2512, 2513, 2514, 2515, 2520, 2522, 2523, 2524, 2524, 2525, 2526, 2528, 2529, 2530, 2531, 2533, 2534, 2534, 2536, 2538, 2539, 2539, 2539, 2540, 2543, 2543, 2548, 2549, 2551, 2551, 2552, 2552, 2553, 2553, 2557, 2558, 2558, 2561, 2563, 2563, 2563, 2564, 2565, 2566, 2567, 2568, 2572, 2572, 2573, 2574, 2575, 2575, 2577, 2578, 2578, 2578, 2581, 2581, 2582, 2582, 2584, 2584, 2585, 2585, 2585, 2585, 2586, 2589, 2591, 2591, 2592, 2595, 2595, 2596, 2597, 2598, 2598, 2598, 2599, 2600, 2603, 2604, 2605, 2605, 2606, 2606, 2606, 2607, 2607, 2607, 2608, 2608, 2608, 2610, 2610, 2612, 2614, 2614, 2615, 2616, 2618, 2619, 2619, 2620, 2621, 2623, 2623, 2625, 2628, 2629, 2631, 2632, 2637, 2637, 2641, 2641, 2642, 2642, 2643, 2643, 2646, 2647, 2647, 2649, 2650, 2650, 2650, 2651, 2653, 2653, 2653, 2655, 2655, 2655, 2656, 2657, 2663, 2665, 2666, 2669, 2669, 2670, 2671, 2671, 2672, 2674, 2674, 2676, 2676, 2679, 2679, 2680, 2683, 2684, 2685, 2686, 2689, 2691, 2692, 2693, 2693, 2696, 2698, 2700, 2701, 2702, 2703, 2704, 2705, 2712, 2712, 2713, 2714, 2716, 2717, 2717, 2717, 2718, 2718, 2723, 2723, 2723, 2723, 2724, 2725, 2730, 2731, 2731, 2732, 2735, 2736, 2736, 2740, 2741, 2742, 2743, 2744, 2744, 2745, 2747, 2748, 2748, 2749, 2749, 2750, 2751, 2751, 2751, 2752, 2752, 2752, 2753, 2753, 2754, 2755, 2756, 2758, 2760, 2762, 2764, 2764, 2767, 2769, 2771, 2771, 2772, 2772, 2773, 2773, 2774, 2777, 2778, 2780, 2782, 2783, 2784, 2784, 2784, 2787, 2787, 2790, 2790, 2790, 2790, 2791, 2791, 2793, 2793, 2794, 2794, 2795, 2796, 2800, 2800, 2800, 2801, 2803, 2803, 2804, 2805, 2807, 2808, 2809, 2809, 2810, 2814, 2816, 2816, 2817, 2817, 2818, 2819, 2819, 2819, 2821, 2821, 2822, 2822, 2824, 2824, 2828, 2830, 2839, 2839, 2839, 2840, 2840, 2841, 2841, 2841, 2842, 2844, 2844, 2847, 2850, 2851, 2851, 2852, 2852, 2852, 2853, 2854, 2855, 2855, 2856, 2856, 2858, 2859, 2860, 2862, 2863, 2864, 2865, 2867, 2869, 2871, 2872, 2872, 2873, 2874, 2876, 2878, 2878, 2878, 2879, 2880, 2880, 2881, 2881, 2882, 2883, 2884, 2884, 2888, 2888, 2890, 2893, 2894, 2898, 2899, 2900, 2901, 2901, 2902, 2902, 2903, 2904, 2906, 2908, 2908, 2908, 2909, 2909, 2909, 2909, 2909, 2912, 2914, 2914, 2915, 2915, 2915, 2915, 2916, 2916, 2916, 2916, 2918, 2919, 2920, 2920, 2921, 2921, 2922, 2923, 2924, 2925, 2926, 2929, 2930, 2931, 2931, 2932, 2932, 2932, 2932, 2933, 2933, 2933, 2935, 2935, 2936, 2937, 2938, 2941, 2942, 2942, 2942, 2943, 2943, 2943, 2945, 2947, 2947, 2947, 2947, 2948, 2950, 2953, 2955, 2961, 2961, 2962, 2962, 2963, 2965, 2967, 2967, 2967, 2968, 2970, 2971, 2974, 2974, 2976, 2977, 2978, 2978, 2979, 2979, 2980, 2981, 2981, 2981, 2982, 2982, 2983, 2984, 2985, 2985, 2986, 2987, 2987, 2988, 2989, 2989, 2990, 2991, 2991, 2993, 2993, 2994, 2995, 2995, 2997, 2998, 2998, 2999, 2999, 2999, 3005, 3006, 3010, 3011, 3012, 3013, 3013, 3015, 3016, 3016, 3017, 3018, 3018, 3019, 3022, 3022, 3025, 3025, 3027, 3029, 3030, 3031, 3031, 3032, 3033, 3039, 3039, 3040, 3040, 3044, 3045, 3045, 3049, 3050, 3051, 3053, 3054, 3054, 3055, 3055, 3055, 3055, 3056, 3057, 3058, 3060, 3060, 3061, 3064, 3065, 3066, 3066, 3067, 3067, 3067, 3068, 3069, 3069, 3071, 3071, 3071, 3072, 3072, 3075, 3076, 3077, 3077, 3078, 3079, 3079, 3081, 3084, 3086, 3086, 3087, 3089, 3089, 3089, 3091, 3092, 3095, 3095, 3095, 3095, 3095, 3096, 3096, 3098, 3098, 3100, 3101, 3103, 3104, 3104, 3104, 3106, 3107, 3107, 3110, 3111, 3112, 3112, 3112, 3113, 3113, 3117, 3119, 3120, 3122, 3123, 3124, 3125, 3126, 3127, 3129, 3129, 3130, 3131, 3132, 3133, 3134, 3136, 3137, 3139, 3141, 3141, 3143, 3144, 3145, 3146, 3146, 3147, 3148, 3150, 3150, 3151, 3151, 3153, 3153, 3154, 3155, 3156, 3157, 3157, 3159, 3159, 3162, 3163, 3164, 3165, 3165, 3168, 3169, 3169, 3170, 3171, 3174, 3174, 3175, 3176, 3176, 3177, 3178, 3178, 3179, 3179, 3179, 3181, 3182, 3182, 3182, 3183, 3183, 3183, 3184, 3185, 3187, 3190, 3191, 3192, 3193, 3193, 3194, 3194, 3195, 3195, 3199, 3199, 3199, 3199, 3200, 3202, 3202, 3203, 3203, 3204, 3205, 3205, 3206, 3207, 3209, 3209, 3210, 3210, 3212, 3212, 3215, 3217, 3220, 3222, 3223, 3224, 3224, 3226, 3229, 3229, 3230, 3231, 3232, 3232, 3235, 3235, 3237, 3239, 3240, 3240, 3241, 3241, 3243, 3245, 3246, 3248, 3248, 3249, 3250, 3251, 3253, 3260, 3260, 3261, 3261, 3262, 3262, 3262, 3263, 3265, 3265, 3265, 3266, 3267, 3268, 3269, 3272, 3273, 3274, 3274, 3274, 3275, 3276, 3276, 3276, 3277, 3278, 3278, 3279, 3279, 3280, 3280, 3280, 3281, 3285, 3285, 3286, 3287, 3289, 3289, 3290, 3291, 3295, 3297, 3297, 3299, 3300, 3300, 3300, 3302, 3304, 3305, 3305, 3305, 3307, 3308, 3309, 3310, 3312, 3312, 3312, 3313, 3313, 3314, 3316, 3316, 3319, 3320, 3320, 3321, 3322, 3322, 3324, 3325, 3328, 3328, 3330, 3331, 3332, 3334, 3339, 3340, 3341, 3343, 3346, 3346, 3347, 3348, 3349, 3349, 3349, 3351, 3351, 3353, 3354, 3355, 3355, 3355, 3356, 3357, 3358, 3358, 3359, 3360, 3361, 3364, 3366, 3369, 3369, 3370, 3371, 3371, 3374, 3378, 3380, 3381, 3381, 3382, 3385, 3385, 3386, 3390, 3390, 3391, 3391, 3393, 3394, 3394, 3394, 3395, 3395, 3395, 3395, 3396, 3397, 3398, 3398, 3398, 3398, 3398, 3398, 3400, 3401, 3401, 3402, 3402, 3403, 3407, 3410, 3410, 3410, 3411, 3411, 3414, 3418, 3418, 3418, 3418, 3420, 3420, 3420, 3420, 3421, 3421, 3423, 3423, 3427, 3428, 3428, 3432, 3433, 3433, 3434, 3434, 3435, 3442, 3444, 3444, 3444, 3444, 3445, 3445, 3446, 3446, 3446, 3446, 3448, 3449, 3449, 3452, 3454, 3454, 3454, 3455, 3456, 3456, 3457, 3457, 3459, 3459, 3460, 3460, 3461, 3461, 3462, 3462, 3468, 3469, 3469, 3469, 3470, 3470, 3472, 3473, 3477, 3478, 3478, 3478, 3479, 3479, 3480, 3480, 3481, 3481, 3481, 3482, 3482, 3484, 3485, 3487, 3488, 3489, 3492, 3492, 3492, 3492, 3493, 3493, 3494, 3496, 3497, 3498, 3500, 3502, 3502, 3503, 3503, 3503, 3504, 3506, 3506, 3506, 3508, 3509, 3511, 3512, 3513, 3513, 3513, 3514, 3516, 3516, 3517, 3518, 3519, 3520, 3521, 3523, 3524, 3524, 3526, 3527, 3527, 3529, 3529, 3530, 3532, 3533, 3534, 3535, 3536, 3538, 3541, 3543, 3545, 3545, 3545, 3546, 3546, 3546, 3546, 3547, 3549, 3550, 3551, 3551, 3551, 3552, 3553, 3554, 3554, 3555, 3555, 3556, 3556, 3559, 3560, 3560, 3561, 3562, 3562, 3563, 3563, 3563, 3565, 3566, 3567, 3568, 3570, 3571, 3572, 3573, 3575, 3578, 3578, 3581, 3582, 3582, 3584, 3586, 3588, 3589, 3589, 3590, 3590, 3591, 3592, 3592, 3593, 3594, 3594, 3594, 3597, 3598, 3599, 3600, 3602, 3602, 3605, 3606, 3606, 3607, 3607, 3608, 3609, 3609, 3611, 3615, 3616, 3616, 3616, 3616, 3617, 3618, 3619, 3620, 3623, 3624, 3625, 3628, 3629, 3630, 3631, 3631, 3632, 3632, 3633, 3633, 3636, 3638, 3639, 3639, 3639, 3640, 3641, 3641, 3642, 3644, 3644, 3645, 3645, 3645, 3646, 3646, 3647, 3647, 3648, 3650, 3650, 3652, 3653, 3655, 3656, 3658, 3661, 3661, 3663, 3664, 3664, 3666, 3666, 3666, 3667, 3667, 3667, 3668, 3669, 3670, 3670, 3671, 3671, 3672, 3673, 3674, 3674, 3676, 3677, 3678, 3680, 3681, 3681, 3681, 3683, 3683, 3689, 3690, 3691, 3692, 3692, 3693, 3694, 3696, 3696, 3696, 3697, 3698, 3699, 3699, 3699, 3700, 3701, 3702, 3702, 3703, 3705, 3706, 3707, 3708, 3709, 3711, 3712, 3713, 3716, 3716, 3718, 3719, 3719, 3719, 3721, 3721, 3721, 3721, 3722, 3722, 3722, 3725, 3725, 3725, 3726, 3726, 3726, 3727, 3727, 3730, 3736, 3738, 3738, 3740, 3741, 3744, 3744, 3745, 3745, 3746, 3746, 3747, 3747, 3747, 3748, 3748, 3749, 3750, 3750, 3753, 3754, 3754, 3756, 3756, 3756, 3758, 3758, 3759, 3760, 3763, 3763, 3764, 3769, 3770, 3771, 3774, 3776, 3776, 3777, 3777, 3780, 3781, 3783, 3783, 3784, 3785, 3789, 3789, 3790, 3790, 3790, 3791, 3794, 3794, 3798, 3799, 3804, 3804, 3804, 3805, 3805, 3806, 3807, 3807, 3808, 3809, 3809, 3810, 3810, 3810, 3811, 3812, 3812, 3813, 3814, 3815, 3817, 3819, 3820, 3821, 3821, 3822, 3823, 3824, 3828, 3830, 3830, 3830, 3831, 3834, 3836, 3836, 3837, 3838, 3839, 3840, 3840, 3840, 3841, 3843, 3844, 3845, 3847, 3848, 3849, 3850, 3850, 3852, 3852, 3852, 3854, 3855, 3855, 3856, 3856, 3857, 3858, 3861, 3861, 3861, 3861, 3862, 3863, 3864, 3864, 3865, 3869, 3870, 3871, 3871, 3872, 3872, 3872, 3873, 3873, 3874, 3874, 3876, 3877, 3878, 3879, 3881, 3882, 3884, 3885, 3885, 3886, 3886, 3887, 3888, 3888, 3890, 3890, 3890, 3892, 3892, 3894, 3894, 3894, 3895, 3895, 3896, 3896, 3896, 3897, 3900, 3900, 3901, 3904, 3905, 3905, 3905, 3906, 3906, 3907, 3907, 3908, 3908, 3909, 3910, 3911, 3915, 3915, 3917, 3917, 3918, 3918, 3918, 3919, 3919, 3920, 3920, 3921, 3922, 3923, 3923, 3925, 3928, 3929, 3931, 3932, 3933, 3936, 3937, 3939, 3940, 3940, 3941, 3941, 3942, 3943, 3944, 3945, 3946, 3948, 3948, 3948, 3951, 3951, 3951, 3954, 3955, 3956, 3956, 3957, 3957, 3959, 3959, 3960, 3961, 3961, 3963, 3963, 3964, 3965, 3965, 3966, 3966, 3966, 3966, 3966, 3967, 3969, 3971, 3972, 3973, 3974, 3974, 3975, 3978, 3981, 3981, 3982, 3983, 3983, 3984, 3985, 3985, 3987, 3987, 3989, 3991, 3992, 3992, 3992, 3995, 3996, 3998, 3999, 4001, 4001, 4003, 4004, 4010, 4010, 4015, 4015, 4016, 4017, 4017, 4018, 4020, 4021, 4023, 4025, 4026, 4028, 4029, 4029, 4030, 4031, 4032, 4034, 4034, 4035, 4035, 4036, 4037, 4040, 4041, 4043, 4043, 4044, 4045, 4046, 4050, 4050, 4050, 4051, 4053, 4054, 4054, 4055, 4055, 4055, 4055, 4056, 4057, 4057, 4058, 4059, 4060, 4060, 4065, 4065, 4065, 4065, 4066, 4066, 4068, 4070, 4070, 4072, 4073, 4073, 4076, 4077, 4077, 4078, 4078, 4079, 4079, 4080, 4081, 4081, 4083, 4084, 4084, 4084, 4086, 4086, 4087, 4089, 4089, 4090, 4091, 4091, 4092, 4095, 4096, 4097, 4097, 4098, 4098, 4100, 4105, 4105, 4105, 4105, 4106, 4108, 4109, 4110, 4111, 4114, 4114, 4114, 4116, 4117, 4117, 4118, 4120, 4120, 4122, 4123, 4123, 4125, 4125, 4126, 4127, 4129, 4129, 4131, 4135, 4137, 4139, 4140, 4141, 4141, 4142, 4144, 4145, 4145, 4145, 4146, 4148, 4150, 4151, 4153, 4155, 4156, 4157, 4158, 4160, 4161, 4161, 4162, 4162, 4162, 4163, 4164, 4165, 4166, 4167, 4168, 4169, 4171, 4172, 4172, 4172, 4172, 4173, 4175, 4176, 4176, 4178, 4178, 4181, 4183, 4183, 4185, 4186, 4186, 4189, 4189, 4191, 4192, 4192, 4193, 4193, 4194, 4195, 4196, 4197, 4198, 4199, 4200, 4200, 4200, 4201, 4202, 4202, 4204, 4204, 4205, 4207, 4207, 4211, 4212, 4212, 4213, 4216, 4217, 4217, 4218, 4220, 4221, 4222, 4222, 4224, 4227, 4227, 4228, 4228, 4229, 4229, 4232, 4233, 4236, 4236, 4237, 4239, 4241, 4244, 4244, 4245, 4245, 4250, 4250, 4250, 4251, 4251, 4253, 4253, 4254, 4254, 4255, 4256, 4256, 4257, 4260, 4261, 4261, 4261, 4261, 4263, 4264, 4264, 4264, 4264, 4265, 4265, 4266, 4267, 4269, 4270, 4270, 4270, 4272, 4274, 4274, 4274, 4279, 4281, 4282, 4284, 4285, 4286, 4286, 4286, 4286, 4286, 4293, 4295, 4295, 4296, 4296, 4296, 4296, 4298, 4298, 4299, 4301, 4301, 4302, 4302, 4304, 4306, 4306, 4306, 4307, 4308, 4308, 4309, 4312, 4313, 4314, 4315, 4317, 4319, 4319, 4320, 4321, 4322, 4323, 4323, 4326, 4327, 4328, 4328, 4328, 4330, 4331, 4332, 4333, 4336, 4336, 4337, 4339, 4339, 4341, 4342, 4343, 4343, 4343, 4343, 4344, 4344, 4345, 4347, 4348, 4348, 4349, 4351, 4353, 4354, 4355, 4357, 4357, 4358, 4359, 4361, 4361, 4361, 4363, 4364, 4364, 4367, 4368, 4368, 4369, 4370, 4371, 4371, 4371, 4371, 4373, 4375, 4376, 4377, 4377, 4378, 4381, 4382, 4382, 4382, 4384, 4384, 4386, 4386, 4388, 4388, 4391, 4391, 4392, 4392, 4393, 4394, 4395, 4396, 4397, 4398, 4398, 4401, 4404, 4405, 4406, 4407, 4407, 4410, 4412, 4415, 4415, 4416, 4416, 4417, 4418, 4419, 4420, 4420, 4421, 4422, 4422, 4422, 4423, 4423, 4424, 4424, 4425, 4426, 4427, 4428, 4429, 4431, 4432, 4434, 4436, 4437, 4441, 4441, 4442, 4444, 4446, 4448, 4449, 4451, 4453, 4454, 4455, 4455, 4459, 4460, 4460, 4461, 4461, 4462, 4464, 4465, 4466, 4466, 4468, 4470, 4471, 4471, 4473, 4473, 4473, 4474, 4479, 4481, 4482, 4484, 4485, 4485, 4485, 4490, 4491, 4491, 4491, 4491, 4492, 4492, 4493, 4494, 4495, 4496, 4497, 4498, 4498, 4498, 4501, 4502, 4502, 4502, 4506, 4508, 4508, 4508, 4508, 4508, 4508, 4509, 4510, 4511, 4511, 4511, 4514, 4515, 4516, 4516, 4517, 4518, 4519, 4520, 4520, 4521, 4521, 4522, 4522, 4523, 4525, 4526, 4528, 4530, 4530, 4532, 4532, 4533, 4534, 4536, 4536, 4536, 4536, 4537, 4537, 4537, 4538, 4538, 4540, 4540, 4540, 4541, 4541, 4543, 4543, 4544, 4545, 4547, 4547, 4548, 4548, 4549, 4549, 4549, 4550, 4551, 4551, 4553, 4555, 4555, 4557, 4558, 4559, 4560, 4560, 4562, 4565, 4565, 4565, 4567, 4567, 4568, 4572, 4572, 4574, 4576, 4576, 4577, 4580, 4580, 4580, 4581, 4581, 4583, 4583, 4585, 4586, 4587, 4588, 4589, 4590, 4594, 4594, 4595, 4595, 4597, 4599, 4600, 4601, 4601, 4603, 4603, 4606, 4606, 4608, 4609, 4609, 4611, 4612, 4615, 4616, 4616, 4617, 4617, 4618, 4619, 4621, 4622, 4623, 4625, 4627, 4628, 4631, 4633, 4635, 4636, 4637, 4638, 4639, 4639, 4640, 4641, 4642, 4646, 4647, 4649, 4649, 4652, 4653, 4653, 4654, 4656, 4657, 4658, 4658, 4658, 4659, 4659, 4660, 4660, 4660, 4661, 4661, 4663, 4664, 4665, 4666, 4666, 4668, 4668, 4669, 4669, 4673, 4673, 4673, 4674, 4675, 4675, 4676, 4677, 4677, 4680, 4680, 4681, 4681, 4684, 4684, 4684, 4686, 4688, 4690, 4692, 4696, 4697, 4697, 4698, 4699, 4699, 4701, 4701, 4701, 4701, 4702, 4702, 4702, 4703, 4704, 4705, 4706, 4707, 4707, 4708, 4710, 4710, 4711, 4714, 4715, 4715, 4715, 4716, 4721, 4723, 4723, 4724, 4725, 4725, 4725, 4726, 4726, 4726, 4726, 4728, 4728, 4731, 4731, 4732, 4733, 4734, 4734, 4734, 4735, 4735, 4737, 4737, 4737, 4737, 4738, 4742, 4743, 4743, 4743, 4745, 4746, 4746, 4747, 4748, 4750, 4752, 4752, 4753, 4754, 4756, 4757, 4757, 4758, 4761, 4762, 4763, 4765, 4765, 4766, 4766, 4773, 4773, 4773, 4775, 4776, 4778, 4778, 4778, 4779, 4780, 4780, 4781, 4783, 4783, 4784, 4785, 4785, 4785, 4787, 4788, 4788, 4789, 4789, 4789, 4790, 4791, 4792, 4792, 4792, 4793, 4795, 4795, 4796, 4797, 4797, 4799, 4800, 4801, 4802, 4803, 4804, 4805, 4805, 4806, 4806, 4808, 4809, 4809, 4812, 4816, 4817, 4819, 4819, 4821, 4822, 4822, 4823, 4826, 4828, 4830, 4830, 4830, 4831, 4832, 4833, 4834, 4834, 4834, 4835, 4835, 4836, 4837, 4837, 4837, 4838, 4838, 4839, 4839, 4840, 4842, 4847, 4847, 4847, 4848, 4848, 4848, 4849, 4850, 4850, 4850, 4853, 4854, 4855, 4855, 4855, 4857, 4857, 4858, 4858, 4859, 4859, 4859, 4860, 4860, 4862, 4862, 4863, 4863, 4864, 4865, 4865, 4867, 4867, 4868, 4869, 4870, 4871, 4871, 4873, 4875, 4876, 4881, 4882, 4883, 4885, 4887, 4889, 4889, 4891, 4891, 4891, 4892, 4893, 4894, 4895, 4896, 4896, 4897, 4897, 4899, 4900, 4901, 4902, 4903, 4904, 4905, 4906, 4908, 4908, 4909, 4910, 4912, 4912, 4912, 4912, 4913, 4914, 4915, 4916, 4918, 4919, 4919, 4919, 4919, 4920, 4921, 4921, 4922, 4923, 4923, 4923, 4926, 4927, 4929, 4929, 4933, 4934, 4935, 4935, 4936, 4936, 4939, 4940, 4940, 4943, 4943, 4944, 4946, 4947, 4947, 4947, 4950, 4952, 4952, 4952, 4953, 4954, 4955, 4958, 4958, 4958, 4961, 4961, 4961, 4962, 4963, 4963, 4966, 4966, 4966, 4966, 4968, 4968, 4969, 4969, 4969, 4969, 4970, 4972, 4973, 4974, 4976, 4977, 4977, 4977, 4978, 4981, 4981, 4981, 4982, 4984, 4984, 4984, 4985, 4986, 4987, 4987, 4988, 4988, 4991, 4994, 4995, 4995, 4995, 4998, 5000, 5003, 5003, 5003, 5004, 5004, 5004, 5004, 5005, 5005, 5005, 5005, 5006, 5007, 5009, 5010, 5010, 5011, 5013, 5014, 5014, 5016, 5016, 5017, 5018, 5018, 5021, 5022, 5024, 5024, 5024, 5026, 5026, 5026, 5027, 5028, 5028, 5029, 5029, 5030, 5030, 5032, 5032, 5032, 5033, 5033, 5033, 5034, 5035, 5035, 5035, 5037, 5037, 5037, 5038, 5038, 5039, 5039, 5039, 5041, 5041, 5042, 5043, 5044, 5044, 5045, 5046, 5046, 5048, 5048, 5048, 5049, 5049, 5051, 5051, 5051, 5052, 5054, 5058, 5058, 5059, 5060, 5060, 5060, 5064, 5064, 5065, 5067, 5068, 5068, 5068, 5068, 5069, 5070, 5072, 5072, 5074, 5074, 5076, 5077, 5077, 5078, 5078, 5078, 5079, 5080, 5082, 5082, 5082, 5083, 5083, 5083, 5084, 5084, 5085, 5087, 5088, 5088, 5089, 5090, 5090, 5091, 5091, 5092, 5092, 5094, 5094, 5094, 5094, 5094, 5098, 5098, 5100, 5101, 5101, 5101, 5102, 5102, 5102, 5103, 5105, 5105, 5106, 5108, 5108, 5109, 5109, 5110, 5114, 5115, 5117, 5118, 5119, 5120, 5121, 5123, 5123, 5123, 5124, 5127, 5129, 5129, 5129, 5129, 5131, 5132, 5133, 5133, 5135, 5135, 5136, 5137, 5141, 5142, 5142, 5143, 5143, 5144, 5145, 5145, 5145, 5145, 5148, 5151, 5151, 5151, 5154, 5158, 5158, 5159, 5160, 5163, 5166, 5169, 5171, 5171, 5172, 5173, 5173, 5176, 5178, 5179, 5180, 5182, 5182, 5183, 5184, 5184, 5185, 5185, 5186, 5186, 5187, 5187, 5188, 5189, 5191, 5191, 5191, 5192, 5192, 5192, 5193, 5198, 5202, 5202, 5203, 5203, 5204, 5204, 5205, 5207, 5207, 5208, 5208, 5211, 5211, 5211, 5213, 5213, 5213, 5213, 5214, 5214, 5215, 5215, 5216, 5217, 5219, 5219, 5219, 5220, 5221, 5222, 5222, 5222, 5223, 5223, 5224, 5224, 5224, 5224, 5228, 5228, 5229, 5229, 5231, 5233, 5233, 5233, 5234, 5235, 5236, 5236, 5237, 5242, 5246, 5246, 5247, 5249, 5250, 5251, 5252, 5253, 5255, 5255, 5256, 5257, 5258, 5258, 5258, 5258, 5260, 5261, 5263, 5263, 5264, 5264, 5264, 5269, 5269, 5270, 5271, 5271, 5272, 5272, 5273, 5275, 5275, 5275, 5276, 5277, 5278, 5278, 5278, 5280, 5280, 5282, 5284, 5285, 5286, 5286, 5287, 5287, 5287, 5289, 5290, 5291, 5292, 5293, 5293, 5298, 5298, 5299, 5299, 5299, 5300, 5301, 5301, 5303, 5304, 5304, 5305, 5306, 5307, 5308, 5310, 5311, 5311, 5311, 5313, 5313, 5317, 5318, 5318, 5318, 5320, 5320, 5320, 5321, 5322, 5324, 5325, 5326, 5327, 5327, 5327, 5329, 5330, 5331, 5333, 5334, 5336, 5338, 5342, 5343, 5344, 5344, 5345, 5349, 5350, 5352, 5353, 5353, 5353, 5354, 5355, 5356, 5356, 5357, 5357, 5358, 5360, 5363, 5365, 5367, 5368, 5368, 5369, 5369, 5371, 5371, 5372, 5376, 5376, 5378, 5378, 5379, 5382, 5387, 5388, 5389, 5390, 5390, 5393, 5393, 5394, 5395, 5399, 5399, 5400, 5401, 5401, 5402, 5404, 5405, 5406, 5407, 5409, 5410, 5410, 5410, 5411, 5413, 5414, 5414, 5415, 5416, 5420, 5420, 5423, 5424, 5424, 5427, 5431, 5432, 5432, 5433, 5433, 5434, 5434, 5434, 5435, 5436, 5437, 5440, 5440, 5441, 5443, 5444, 5450, 5453, 5453, 5453, 5456, 5457, 5458, 5458, 5458, 5459, 5459, 5459, 5460, 5461, 5461, 5462, 5462, 5462, 5463, 5464, 5465, 5468, 5469, 5470, 5470, 5470, 5473, 5473, 5477, 5477, 5478, 5478, 5480, 5482, 5485, 5488, 5488, 5489, 5490, 5492, 5493, 5493, 5493, 5493, 5494, 5494, 5496, 5498, 5499, 5500, 5501, 5503, 5503, 5507, 5507, 5508, 5508, 5508, 5508, 5509, 5510, 5511, 5511, 5512, 5513, 5513, 5516, 5516, 5517, 5517, 5518, 5518, 5518, 5519, 5520, 5522, 5522, 5525, 5525, 5526, 5526, 5527, 5527, 5527, 5529, 5529, 5529, 5530, 5531, 5532, 5532, 5532, 5534, 5534, 5534, 5536, 5536, 5537, 5537, 5538, 5538, 5539, 5540, 5540, 5542, 5542, 5544, 5545, 5545, 5546, 5546, 5546, 5547, 5548, 5550, 5550, 5551, 5551, 5552, 5553, 5555, 5557, 5559, 5559, 5559, 5559, 5561, 5562, 5563, 5563, 5564, 5564, 5565, 5566, 5566, 5566, 5567, 5567, 5568, 5568, 5569, 5570, 5570, 5571, 5575, 5576, 5576, 5577, 5580, 5580, 5581, 5582, 5583, 5584, 5585, 5586, 5587, 5587, 5588, 5595, 5595, 5595, 5596, 5596, 5596, 5596, 5598, 5599, 5599, 5599, 5599, 5600, 5602, 5604, 5605, 5607, 5607, 5608, 5608, 5609, 5610, 5611, 5613, 5613, 5614, 5614, 5614, 5617, 5620, 5621, 5622, 5623, 5625, 5625, 5625, 5625, 5626, 5626, 5627, 5627, 5629, 5631, 5634, 5634, 5634, 5635, 5637, 5638, 5639, 5640, 5642, 5643, 5646, 5647, 5648, 5648, 5649, 5650, 5650, 5651, 5651, 5654, 5655, 5655, 5657, 5657, 5664, 5665, 5668, 5673, 5674, 5681, 5682, 5683, 5684, 5686, 5689, 5689, 5690, 5690, 5692, 5693, 5693, 5694, 5695, 5697, 5699, 5699, 5699, 5700, 5702, 5703, 5704, 5705, 5706, 5706, 5706, 5707, 5708, 5708, 5709, 5710, 5712, 5712, 5713, 5713, 5714, 5715, 5719, 5720, 5720, 5721, 5723, 5726, 5726, 5727, 5727, 5728, 5731, 5731, 5731, 5732, 5734, 5735, 5737, 5738, 5738, 5739, 5740, 5740, 5743, 5744, 5744, 5747, 5750, 5754, 5757, 5757, 5758, 5758, 5758, 5759, 5759, 5759, 5759, 5760, 5761, 5761, 5763, 5764, 5764, 5766, 5766, 5767, 5768, 5769, 5769, 5769, 5770, 5771, 5771, 5772, 5774, 5776, 5777, 5778, 5778, 5780, 5780, 5782, 5784, 5786, 5787, 5787, 5789, 5789, 5789, 5790, 5790, 5792, 5793, 5796, 5796, 5798, 5800, 5801, 5802, 5804, 5804, 5805, 5805, 5806, 5806, 5807, 5807, 5808, 5808, 5811, 5811, 5812, 5812, 5812, 5813, 5814, 5814, 5817, 5818, 5818, 5819, 5819, 5819, 5821, 5821, 5821, 5821, 5822, 5823, 5823, 5824, 5825, 5828, 5829, 5829, 5830, 5831, 5833, 5835, 5843, 5844, 5845, 5845, 5847, 5850, 5850, 5852, 5854, 5854, 5855, 5855, 5857, 5858, 5860, 5860, 5863, 5863, 5863, 5864, 5865, 5865, 5866, 5871, 5871, 5871, 5871, 5872, 5873, 5876, 5876, 5877, 5879, 5879, 5881, 5882, 5884, 5884, 5886, 5886, 5887, 5888, 5890, 5890, 5890, 5893, 5893, 5894, 5895, 5895, 5898, 5898, 5900, 5900, 5904, 5906, 5906, 5907, 5907, 5908, 5910, 5913, 5913, 5914, 5916, 5920, 5920, 5920, 5921, 5921, 5922, 5922, 5923, 5925, 5925, 5925, 5925, 5925, 5926, 5929, 5930, 5930, 5930, 5931, 5935, 5935, 5936, 5938, 5939, 5940, 5940, 5941, 5941, 5941, 5946, 5946, 5948, 5948, 5951, 5951, 5953, 5955, 5955, 5956, 5956, 5956, 5957, 5957, 5957, 5958, 5958, 5959, 5960, 5966, 5968, 5970, 5971, 5975, 5976, 5977, 5977, 5978, 5979, 5981, 5981, 5982, 5984, 5991, 5993, 5994, 5996, 5996, 5997, 5998, 5999, 6000, 6002, 6004, 6008, 6008, 6008, 6008, 6014, 6015, 6015, 6016, 6017, 6018, 6021, 6021, 6024, 6024, 6026, 6027, 6027, 6028, 6030, 6031, 6032, 6032, 6032, 6032, 6035, 6036, 6036, 6036, 6039, 6039, 6040, 6040, 6040, 6043, 6044, 6044, 6044, 6044, 6044, 6046, 6048, 6048, 6049, 6050, 6050, 6051, 6052, 6052, 6054, 6054, 6057, 6057, 6058, 6058, 6058, 6058, 6058, 6059, 6059, 6060, 6063, 6066, 6067, 6069, 6070, 6071, 6073, 6073, 6073, 6074, 6074, 6075, 6075, 6078, 6078, 6078, 6079, 6079, 6080, 6082, 6082, 6083, 6083, 6083, 6084, 6085, 6085, 6089, 6091, 6092, 6094, 6096, 6096, 6097, 6098, 6099, 6100, 6100, 6100, 6101, 6102, 6104, 6107, 6107, 6108, 6111, 6112, 6114, 6115, 6115, 6115, 6115, 6117, 6117, 6118, 6120, 6121, 6121, 6123, 6123, 6124, 6124, 6126, 6126, 6128, 6129, 6129, 6130, 6130, 6132, 6132, 6132, 6134, 6134, 6134, 6136, 6137, 6137, 6137, 6138, 6140, 6140, 6141, 6143, 6145, 6145, 6146, 6147, 6150, 6151, 6152, 6152, 6152, 6153, 6154, 6155, 6156, 6157, 6158, 6158, 6158, 6158, 6158, 6162, 6165, 6166, 6167, 6169, 6169, 6172, 6172, 6172, 6174, 6174, 6176, 6179, 6180, 6180, 6181, 6181, 6182, 6185, 6185, 6185, 6185, 6187, 6188, 6190, 6190, 6191, 6192, 6193, 6194, 6196, 6196, 6197, 6200, 6201, 6202, 6202, 6203, 6203, 6204, 6205, 6206, 6206, 6207, 6208, 6208, 6209, 6209, 6209, 6210, 6211, 6211, 6211, 6211, 6212, 6214, 6217, 6218, 6220, 6221, 6223, 6223, 6224, 6224, 6225, 6226, 6227, 6227, 6227, 6227, 6228, 6228, 6228, 6228, 6230, 6231, 6231, 6232, 6232, 6233, 6234, 6234, 6235, 6237, 6238, 6238, 6240, 6241, 6241, 6242, 6242, 6242, 6244, 6245, 6248, 6250, 6251, 6252, 6253, 6253, 6253, 6253, 6254, 6254, 6255, 6255, 6257, 6258, 6259, 6260, 6260, 6261, 6262, 6262, 6263, 6264, 6264, 6266, 6266, 6268, 6268, 6269, 6270, 6271, 6272, 6272, 6274, 6274, 6274, 6275, 6276, 6277, 6278, 6279, 6279, 6280, 6283, 6283, 6284, 6284, 6285, 6286, 6287, 6288, 6289, 6289, 6293, 6295, 6296, 6299, 6300, 6300, 6300, 6301, 6302, 6302, 6303, 6303, 6307, 6308, 6309, 6310, 6310, 6310, 6312, 6314, 6314, 6315, 6315, 6317, 6318, 6319, 6320, 6322, 6324, 6328, 6329, 6332, 6334, 6334, 6336, 6337, 6337, 6337, 6337, 6339, 6339, 6339, 6341, 6341, 6342, 6343, 6343, 6343, 6346, 6347, 6347, 6347, 6349, 6350, 6351, 6351, 6352, 6353, 6354, 6356, 6357, 6359, 6359, 6360, 6362, 6364, 6365, 6365, 6365, 6365, 6366, 6367, 6368, 6369, 6369, 6370, 6373, 6373, 6374, 6374, 6375, 6376, 6378, 6380, 6380, 6381, 6381, 6382, 6383, 6384, 6385, 6385, 6385, 6386, 6387, 6388, 6388, 6388, 6390, 6391, 6392, 6392, 6393, 6393, 6396, 6396, 6397, 6400, 6401, 6401, 6402, 6402, 6402, 6402, 6403, 6403, 6405, 6407, 6411, 6412, 6412, 6413, 6414, 6414, 6414, 6414, 6415, 6418, 6418, 6419, 6419, 6419, 6421, 6421, 6423, 6423, 6424, 6424, 6424, 6424, 6425, 6426, 6426, 6427, 6428, 6428, 6429, 6432, 6433, 6433, 6434, 6436, 6436, 6437, 6439, 6444, 6444, 6445, 6445, 6448, 6450, 6450, 6451, 6453, 6453, 6453, 6454, 6455, 6456, 6456, 6457, 6457, 6458, 6461, 6462, 6465, 6466, 6466, 6469, 6471, 6472, 6472, 6472, 6473, 6475, 6476, 6476, 6476, 6476, 6477, 6477, 6478, 6478, 6479, 6482, 6482, 6483, 6483, 6484, 6484, 6484, 6484, 6487, 6487, 6488, 6488, 6496, 6496, 6496, 6497, 6498, 6498, 6499, 6499, 6499, 6501, 6502, 6503, 6504, 6504, 6506, 6509, 6510, 6510, 6512, 6513, 6513, 6514, 6515, 6515, 6516, 6520, 6521, 6522, 6522, 6523, 6523, 6523, 6524, 6525, 6525, 6525, 6525, 6526, 6527, 6527, 6528, 6528, 6528, 6531, 6531, 6534, 6536, 6538, 6538, 6540, 6544, 6544, 6545, 6549, 6550, 6551, 6551, 6552, 6556, 6556, 6557, 6557, 6558, 6559, 6560, 6560, 6560, 6560, 6562, 6562, 6562, 6565, 6565, 6566, 6572, 6574, 6576, 6577, 6578, 6580, 6582, 6582, 6582, 6582, 6582, 6583, 6584, 6584, 6585, 6588, 6589, 6590, 6590, 6593, 6593, 6593, 6596, 6596, 6597, 6598, 6598, 6599, 6601, 6602, 6604, 6604, 6606, 6606, 6606, 6610, 6611, 6613, 6615, 6615, 6617, 6618, 6619, 6621, 6622, 6622, 6625, 6626, 6627, 6627, 6627, 6627, 6628, 6629, 6629, 6629, 6634, 6634, 6634, 6634, 6635, 6635, 6635, 6635, 6636, 6636, 6638, 6638, 6639, 6640, 6641, 6641, 6642, 6644, 6645, 6646, 6646, 6650, 6650, 6651, 6652, 6652, 6655, 6656, 6657, 6658, 6659, 6659, 6661, 6663, 6663, 6664, 6665, 6667, 6668, 6668, 6670, 6670, 6670, 6670, 6671, 6672, 6674, 6676, 6677, 6678, 6679, 6683, 6685, 6685, 6686, 6687, 6688, 6689, 6689, 6690, 6691, 6693, 6694, 6695, 6696, 6696, 6696, 6697, 6697, 6697, 6698, 6699, 6699, 6700, 6701, 6701, 6701, 6704, 6704, 6706, 6707, 6709, 6709, 6709, 6711, 6711, 6712, 6713, 6718, 6719, 6719, 6719, 6720, 6721, 6722, 6723, 6723, 6724, 6725, 6726, 6726, 6726, 6727, 6728, 6729, 6731, 6732, 6734, 6736, 6738, 6738, 6740, 6740, 6741, 6741, 6741, 6742, 6743, 6744, 6745, 6747, 6747, 6747, 6748, 6748, 6748, 6748, 6750, 6750, 6752, 6756, 6757, 6757, 6760, 6761, 6763, 6764, 6766, 6767, 6768, 6768, 6769, 6770, 6771, 6772, 6773, 6773, 6775, 6779, 6780, 6780, 6781, 6784, 6784, 6784, 6785, 6785, 6786, 6786, 6786, 6787, 6788, 6789, 6790, 6790, 6793, 6794, 6795, 6796, 6798, 6798, 6800, 6801, 6802, 6803, 6803, 6804, 6805, 6806, 6806, 6808, 6808, 6809, 6809, 6809, 6812, 6813, 6814, 6817, 6818, 6818, 6822, 6822, 6822, 6824, 6826, 6831, 6831, 6831, 6832, 6833, 6833, 6834, 6835, 6836, 6836, 6837, 6838, 6840, 6840, 6840, 6840, 6841, 6842, 6843, 6844, 6845, 6845, 6847, 6847, 6850, 6850, 6851, 6852, 6852, 6852, 6854, 6857, 6857, 6857, 6857, 6859, 6859, 6859, 6859, 6860, 6861, 6862, 6862, 6864, 6865, 6866, 6866, 6867, 6868, 6868, 6868, 6869, 6870, 6870, 6872, 6874, 6875, 6875, 6877, 6878, 6878, 6880, 6880, 6883, 6883, 6885, 6886, 6888, 6889, 6890, 6890, 6891, 6891, 6892, 6893, 6893, 6896, 6899, 6899, 6899, 6899, 6900, 6900, 6901, 6901, 6902, 6902, 6904, 6905, 6906, 6907, 6909, 6910, 6910, 6911, 6911, 6912, 6912, 6913, 6913, 6916, 6918, 6918, 6918, 6919, 6919, 6919, 6920, 6921, 6922, 6925, 6928, 6929, 6929, 6930, 6931, 6931, 6932, 6933, 6934, 6934, 6934, 6937, 6937, 6938, 6938, 6938, 6938, 6939, 6940, 6941, 6941, 6943, 6944, 6944, 6945, 6945, 6945, 6948, 6949, 6949, 6950, 6950, 6951, 6952, 6953, 6955, 6955, 6955, 6955, 6956, 6956, 6958, 6959, 6960, 6961, 6963, 6965, 6966, 6967, 6967, 6969, 6970, 6970, 6971, 6972, 6972, 6972, 6973, 6974, 6975, 6976, 6977, 6978, 6978, 6979, 6980, 6983, 6987, 6988, 6988, 6989, 6989, 6989, 6992, 6992, 6993, 6993, 6994, 6994, 6995, 6996, 6996, 6996, 6997, 6998, 6999, 7001, 7002, 7004, 7005, 7007, 7007, 7008, 7009, 7009, 7009, 7009, 7010, 7011, 7013, 7014, 7014, 7018, 7021, 7021, 7024, 7025, 7026, 7027, 7029, 7030, 7031, 7031, 7032, 7032, 7033, 7034, 7035, 7037, 7037, 7037, 7037, 7042, 7042, 7043, 7044, 7044, 7045, 7049, 7049, 7049, 7050, 7054, 7054, 7056, 7058, 7059, 7059, 7059, 7060, 7061, 7061, 7062, 7064, 7065, 7066, 7066, 7067, 7070, 7073, 7074, 7074, 7074, 7075, 7075, 7076, 7078, 7079, 7079, 7079, 7079, 7080, 7082, 7083, 7083, 7084, 7085, 7085, 7086, 7087, 7088, 7091, 7092, 7092, 7092, 7093, 7093, 7094, 7094, 7095, 7096, 7097, 7098, 7098, 7100, 7101, 7101, 7101, 7103, 7106, 7107, 7108, 7108, 7108, 7109, 7111, 7112, 7113, 7113, 7115, 7115, 7116, 7117, 7118, 7118, 7118, 7118, 7119, 7120, 7122, 7122, 7123, 7125, 7126, 7127, 7127, 7128, 7128, 7131, 7132, 7134, 7134, 7135, 7136, 7136, 7137, 7138, 7139, 7139, 7142, 7143, 7144, 7145, 7145, 7152, 7152, 7153, 7154, 7154, 7158, 7159, 7159, 7161, 7166, 7166, 7166, 7168, 7172, 7173, 7173, 7174, 7180, 7181, 7182, 7184, 7187, 7187, 7189, 7190, 7190, 7191, 7191, 7192, 7194, 7195, 7195, 7199, 7201, 7201, 7204, 7206, 7207, 7209, 7209, 7210, 7211, 7212, 7212, 7214, 7216, 7218, 7219, 7220, 7226, 7227, 7227, 7228, 7228, 7232, 7234, 7236, 7236, 7236, 7237, 7237, 7237, 7238, 7239, 7239, 7239, 7240, 7242, 7243, 7244, 7244, 7245, 7245, 7245, 7245, 7246, 7248, 7248, 7248, 7248, 7249, 7249, 7249, 7251, 7253, 7253, 7254, 7254, 7256, 7256, 7257, 7258, 7259, 7259, 7259, 7260, 7263, 7264, 7269, 7271, 7272, 7272, 7272, 7274, 7275, 7276, 7279, 7282, 7284, 7285, 7285, 7285, 7287, 7287, 7288, 7289, 7289, 7290, 7291, 7291, 7292, 7292, 7292, 7292, 7293, 7293, 7293, 7293, 7294, 7295, 7295, 7297, 7297, 7297, 7297, 7298, 7299, 7299, 7299, 7299, 7300, 7300, 7301, 7301, 7304, 7304, 7304, 7305, 7306, 7308, 7308, 7310, 7311, 7311, 7312, 7313, 7314, 7314, 7315, 7316, 7318, 7319, 7319, 7321, 7322, 7323, 7326, 7327, 7328, 7331, 7331, 7331, 7333, 7333, 7334, 7339, 7341, 7341, 7341, 7341, 7342, 7342, 7342, 7342, 7344, 7344, 7345, 7346, 7347, 7351, 7351, 7351, 7355, 7355, 7358, 7360, 7360, 7361, 7364, 7365, 7368, 7368, 7369, 7373, 7373, 7375, 7375, 7378, 7379, 7379, 7380, 7380, 7381, 7383, 7383, 7384, 7386, 7390, 7390, 7390, 7391, 7392, 7392, 7394, 7395, 7396, 7397, 7398, 7400, 7400, 7402, 7402, 7402, 7403, 7405, 7409, 7409, 7410, 7410, 7411, 7412, 7413, 7414, 7414, 7418, 7419, 7420, 7425, 7428, 7429, 7430, 7431, 7433, 7434, 7434, 7434, 7435, 7435, 7436, 7438, 7441, 7441, 7443, 7444, 7445, 7445, 7445, 7445, 7446, 7447, 7448, 7448, 7448, 7449, 7451, 7451, 7452, 7453, 7455, 7455, 7455, 7456, 7457, 7460, 7461, 7462, 7462, 7462, 7463, 7464, 7466, 7466, 7466, 7468, 7468, 7469, 7470, 7473, 7474, 7475, 7475, 7476, 7476, 7479, 7480, 7480, 7481, 7481, 7484, 7486, 7487, 7488, 7489, 7490, 7491, 7492, 7493, 7495, 7496, 7499, 7500, 7500, 7501, 7501, 7502, 7502, 7502, 7505, 7508, 7509, 7509, 7509, 7510, 7510, 7512, 7514, 7515, 7516, 7517, 7517, 7519, 7520, 7520, 7520, 7521, 7523, 7523, 7523, 7525, 7525, 7525, 7526, 7528, 7529, 7529, 7529, 7530, 7531, 7531, 7532, 7533, 7535, 7535, 7537, 7537, 7538, 7539, 7541, 7541, 7542, 7542, 7544, 7544, 7544, 7544, 7545, 7548, 7548, 7549, 7549, 7551, 7551, 7551, 7551, 7551, 7553, 7554, 7554, 7555, 7555, 7556, 7557, 7558, 7558, 7559, 7560, 7561, 7561, 7562, 7562, 7562, 7562, 7564, 7566, 7566, 7568, 7568, 7568, 7570, 7574, 7574, 7575, 7577, 7577, 7578, 7579, 7580, 7581, 7584, 7585, 7585, 7586, 7586, 7586, 7588, 7589, 7591, 7594, 7596, 7597, 7597, 7597, 7598, 7598, 7599, 7601, 7602, 7603, 7604, 7606, 7608, 7610, 7611, 7611, 7611, 7612, 7612, 7614, 7617, 7617, 7619, 7620, 7624, 7625, 7625, 7628, 7629, 7633, 7634, 7634, 7634, 7637, 7637, 7637, 7637, 7639, 7640, 7640, 7643, 7644, 7645, 7645, 7647, 7648, 7650, 7650, 7651, 7651, 7652, 7653, 7655, 7655, 7658, 7659, 7659, 7660, 7665, 7665, 7666, 7666, 7667, 7668, 7669, 7670, 7670, 7670, 7674, 7674, 7674, 7675, 7675, 7679, 7679, 7681, 7682, 7683, 7683, 7683, 7684, 7684, 7685, 7685, 7689, 7691, 7695, 7699, 7700, 7701, 7701, 7701, 7701, 7704, 7704, 7704, 7705, 7707, 7707, 7708, 7708, 7710, 7712, 7714, 7715, 7719, 7719, 7719, 7720, 7720, 7721, 7721, 7722, 7726, 7730, 7731, 7732, 7732, 7733, 7734, 7736, 7740, 7740, 7740, 7744, 7746, 7749, 7752, 7753, 7753, 7754, 7755, 7756, 7756, 7757, 7757, 7757, 7759, 7762, 7762, 7764, 7764, 7764, 7767, 7767, 7767, 7768, 7768, 7769, 7769, 7771, 7773, 7773, 7774, 7774, 7774, 7775, 7776, 7781, 7782, 7782, 7783, 7784, 7785, 7785, 7787, 7790, 7790, 7791, 7791, 7792, 7793, 7794, 7794, 7795, 7796, 7797, 7797, 7799, 7802, 7802, 7802, 7803, 7803, 7804, 7807, 7809, 7811, 7811, 7811, 7812, 7812, 7814, 7818, 7818, 7821, 7821, 7821, 7822, 7822, 7825, 7826, 7827, 7827, 7828, 7830, 7831, 7831, 7831, 7835, 7836, 7837, 7837, 7840, 7842, 7846, 7848, 7849, 7849, 7849, 7851, 7853, 7853, 7854, 7854, 7855, 7856, 7858, 7859, 7861, 7861, 7863, 7865, 7866, 7866, 7866, 7867, 7868, 7868, 7868, 7868, 7868, 7870, 7871, 7871, 7871, 7872, 7874, 7874, 7875, 7878, 7879, 7879, 7880, 7880, 7881, 7883, 7884, 7885, 7886, 7889, 7889, 7892, 7893, 7894, 7894, 7894, 7894, 7896, 7899, 7900, 7901, 7902, 7903, 7904, 7907, 7907, 7907, 7908, 7909, 7909, 7909, 7909, 7911, 7915, 7917, 7917, 7918, 7919, 7919, 7920, 7920, 7920, 7922, 7923, 7923, 7924, 7925, 7925, 7925, 7927, 7928, 7929, 7929, 7930, 7933, 7934, 7935, 7936, 7936, 7937, 7938, 7939, 7939, 7940, 7941, 7942, 7942, 7944, 7945, 7946, 7946, 7948, 7949, 7949, 7952, 7954, 7955, 7956, 7959, 7959, 7960, 7961, 7961, 7961, 7961, 7963, 7963, 7965, 7966, 7966, 7967, 7967, 7968, 7968, 7968, 7968, 7970, 7971, 7971, 7971, 7973, 7973, 7973, 7974, 7974, 7975, 7976, 7978, 7980, 7984, 7984, 7985, 7986, 7986, 7988, 7988, 7989, 7991, 7992, 7992, 7994, 7995, 7995, 7996, 7996, 7996, 7997, 7998, 7998, 7998, 8005, 8006, 8009, 8009, 8009, 8011, 8013, 8013, 8013, 8013, 8013, 8014, 8014, 8016, 8016, 8018, 8018, 8019, 8019, 8020, 8020, 8020, 8022, 8024, 8025, 8025, 8025, 8026, 8027, 8027, 8027, 8028, 8029, 8030, 8031, 8031, 8032, 8032, 8033, 8033, 8034, 8034, 8034, 8035, 8038, 8040, 8041, 8042, 8042, 8043, 8044, 8045, 8045, 8046, 8047, 8048, 8050, 8051, 8051, 8051, 8052, 8054, 8056, 8056, 8056, 8058, 8058, 8058, 8061, 8061, 8063, 8063, 8064, 8065, 8065, 8065, 8066, 8066, 8067, 8067, 8069, 8069, 8071, 8071, 8073, 8074, 8074, 8076, 8077, 8078, 8078, 8079, 8079, 8079, 8081, 8081, 8081, 8082, 8083, 8083, 8083, 8084, 8084, 8085, 8087, 8087, 8088, 8088, 8090, 8090, 8091, 8091, 8094, 8095, 8096, 8098, 8098, 8101, 8101, 8102, 8102, 8103, 8103, 8103, 8103, 8106, 8109, 8110, 8110, 8112, 8112, 8113, 8113, 8114, 8117, 8117, 8118, 8118, 8119, 8119, 8119, 8120, 8121, 8122, 8125, 8127, 8128, 8129, 8130, 8131, 8132, 8132, 8133, 8133, 8134, 8135, 8136, 8136, 8137, 8137, 8138, 8140, 8141, 8142, 8143, 8143, 8144, 8145, 8146, 8146, 8148, 8149, 8149, 8150, 8151, 8153, 8156, 8157, 8158, 8158, 8159, 8161, 8163, 8164, 8164, 8165, 8165, 8166, 8166, 8168, 8171, 8172, 8172, 8172, 8172, 8174, 8174, 8174, 8176, 8176, 8177, 8177, 8177, 8177, 8178, 8180, 8180, 8181, 8181, 8183, 8183, 8183, 8184, 8185, 8186, 8186, 8189, 8191, 8191, 8194, 8194, 8195, 8195, 8195, 8196, 8196, 8197, 8198, 8198, 8200, 8200, 8201, 8202, 8202, 8202, 8202, 8203, 8205, 8206, 8206, 8206, 8206, 8208, 8211, 8211, 8212, 8213, 8213, 8214, 8216, 8216, 8216, 8216, 8218, 8218, 8219, 8222, 8223, 8223, 8224, 8224, 8224, 8224, 8225, 8225, 8226, 8229, 8233, 8234, 8237, 8237, 8238, 8238, 8240, 8240, 8241, 8243, 8245, 8246, 8247, 8247, 8248, 8249, 8250, 8251, 8253, 8254, 8254, 8256, 8257, 8258, 8258, 8259, 8260, 8264, 8264, 8266, 8266, 8269, 8269, 8269, 8269, 8270, 8271, 8271, 8271, 8272, 8272, 8273, 8274, 8276, 8277, 8278, 8278, 8282, 8285, 8286, 8286, 8287, 8288, 8290, 8290, 8291, 8292, 8292, 8292, 8292, 8293, 8294, 8294, 8295, 8296, 8297, 8297, 8299, 8299, 8299, 8300, 8301, 8302, 8303, 8303, 8308, 8310, 8310, 8310, 8311, 8312, 8313, 8314, 8314, 8315, 8322, 8322, 8324, 8325, 8326, 8327, 8329, 8329, 8332, 8333, 8333, 8334, 8334, 8334, 8335, 8336, 8337, 8338, 8338, 8338, 8339, 8340, 8344, 8347, 8347, 8348, 8348, 8351, 8352, 8352, 8355, 8355, 8356, 8357, 8358, 8358, 8359, 8359, 8359, 8360, 8361, 8361, 8362, 8364, 8364, 8364, 8366, 8367, 8368, 8368, 8368, 8370, 8371, 8372, 8373, 8373, 8374, 8376, 8377, 8377, 8378, 8379, 8380, 8382, 8383, 8383, 8387, 8387, 8388, 8389, 8390, 8394, 8395, 8395, 8397, 8398, 8401, 8401, 8403, 8403, 8404, 8405, 8407, 8408, 8411, 8411, 8412, 8414, 8414, 8414, 8416, 8416, 8417, 8418, 8419, 8420, 8421, 8423, 8424, 8426, 8427, 8428, 8428, 8431, 8432, 8432, 8435, 8435, 8437, 8439, 8441, 8441, 8442, 8443, 8443, 8443, 8445, 8446, 8447, 8447, 8448, 8449, 8450, 8450, 8451, 8453, 8453, 8453, 8455, 8455, 8457, 8457, 8458, 8459, 8461, 8462, 8462, 8465, 8466, 8468, 8468, 8468, 8469, 8470, 8472, 8473, 8473, 8473, 8474, 8474, 8478, 8478, 8479, 8480, 8480, 8480, 8482, 8482, 8483, 8483, 8483, 8484, 8485, 8485, 8485, 8487, 8489, 8490, 8492, 8492, 8492, 8493, 8494, 8495, 8496, 8497, 8499, 8504, 8505, 8505, 8506, 8507, 8508, 8509, 8510, 8510, 8510, 8511, 8512, 8513, 8513, 8514, 8514, 8515, 8515, 8515, 8517, 8518, 8518, 8518, 8519, 8519, 8520, 8520, 8521, 8522, 8522, 8523, 8523, 8524, 8524, 8524, 8525, 8525, 8525, 8526, 8529, 8529, 8530, 8531, 8531, 8532, 8534, 8535, 8536, 8536, 8537, 8538, 8538, 8539, 8539, 8541, 8541, 8542, 8543, 8543, 8544, 8545, 8545, 8546, 8546, 8546, 8546, 8548, 8549, 8552, 8553, 8555, 8556, 8557, 8558, 8559, 8560, 8560, 8561, 8561, 8561, 8561, 8562, 8564, 8565, 8568, 8568, 8571, 8572, 8572, 8572, 8573, 8574, 8574, 8576, 8578, 8578, 8579, 8580, 8581, 8581, 8583, 8583, 8583, 8584, 8585, 8586, 8587, 8588, 8589, 8591, 8592, 8592, 8593, 8595, 8596, 8596, 8597, 8599, 8602, 8602, 8604, 8605, 8605, 8606, 8606, 8606, 8606, 8611, 8613, 8614, 8614, 8616, 8616, 8616, 8617, 8617, 8618, 8619, 8619, 8619, 8620, 8622, 8623, 8625, 8626, 8627, 8628, 8628, 8629, 8629, 8630, 8630, 8631, 8631, 8632, 8632, 8633, 8634, 8634, 8635, 8635, 8636, 8641, 8643, 8643, 8643, 8643, 8645, 8648, 8649, 8650, 8650, 8651, 8651, 8652, 8653, 8654, 8654, 8655, 8656, 8659, 8661, 8662, 8663, 8664, 8664, 8667, 8667, 8668, 8669, 8669, 8670, 8670, 8671, 8673, 8676, 8678, 8678, 8678, 8679, 8679, 8680, 8683, 8684, 8685, 8685, 8685, 8686, 8687, 8688, 8690, 8691, 8691, 8692, 8692, 8694, 8694, 8696, 8696, 8699, 8700, 8700, 8700, 8701, 8704, 8705, 8707, 8708, 8708, 8708, 8711, 8711, 8712, 8713, 8714, 8714, 8715, 8715, 8716, 8717, 8719, 8720, 8720, 8720, 8725, 8727, 8727, 8729, 8732, 8734, 8734, 8737, 8737, 8737, 8741, 8742, 8743, 8746, 8748, 8750, 8751, 8751, 8754, 8754, 8754, 8754, 8755, 8755, 8757, 8757, 8757, 8758, 8760, 8762, 8762, 8762, 8763, 8764, 8765, 8767, 8767, 8768, 8771, 8771, 8772, 8773, 8773, 8773, 8773, 8776, 8776, 8777, 8777, 8777, 8779, 8781, 8783, 8784, 8784, 8784, 8784, 8786, 8786, 8787, 8788, 8789, 8790, 8791, 8793, 8794, 8794, 8796, 8797, 8798, 8799, 8802, 8802, 8806, 8807, 8807, 8808, 8809, 8810, 8811, 8816, 8818, 8820, 8821, 8823, 8823, 8826, 8828, 8829, 8829, 8830, 8831, 8834, 8834, 8835, 8837, 8839, 8839, 8839, 8840, 8841, 8842, 8843, 8844, 8846, 8846, 8847, 8848, 8850, 8850, 8854, 8854, 8854, 8856, 8857, 8857, 8857, 8859, 8859, 8859, 8860, 8861, 8861, 8865, 8865, 8868, 8869, 8869, 8869, 8869, 8870, 8871, 8872, 8873, 8873, 8874, 8875, 8875, 8875, 8876, 8878, 8878, 8878, 8880, 8880, 8880, 8880, 8881, 8884, 8885, 8885, 8887, 8887, 8888, 8888, 8888, 8889, 8889, 8890, 8890, 8890, 8891, 8891, 8894, 8894, 8894, 8895, 8895, 8897, 8897, 8900, 8900, 8903, 8903, 8904, 8905, 8907, 8907, 8909, 8909, 8910, 8910, 8911, 8912, 8913, 8913, 8913, 8914, 8914, 8916, 8916, 8917, 8920, 8921, 8923, 8924, 8926, 8928, 8929, 8929, 8931, 8931, 8931, 8931, 8934, 8935, 8937, 8937, 8939, 8939, 8943, 8943, 8944, 8946, 8946, 8947, 8947, 8947, 8948, 8948, 8949, 8950, 8950, 8950, 8951, 8952, 8952, 8953, 8954, 8954, 8954, 8955, 8955, 8957, 8958, 8959, 8959, 8961, 8961, 8961, 8962, 8964, 8965, 8967, 8967, 8967, 8969, 8969, 8970, 8970, 8971, 8973, 8973, 8974, 8975, 8975, 8976, 8978, 8979, 8979, 8979, 8980, 8981, 8981, 8982, 8982, 8984, 8985, 8985, 8986, 8987, 8988, 8990, 8991, 8991, 8994, 8994, 8994, 8994, 8994, 8996, 8997, 8997, 8999, 9002, 9002, 9002, 9003, 9003, 9003, 9004, 9005, 9007, 9009, 9009, 9010, 9010, 9011, 9011, 9012, 9012, 9013, 9016, 9016, 9016, 9017, 9017, 9019, 9023, 9023, 9024, 9024, 9024, 9025, 9026, 9029, 9031, 9032, 9035, 9036, 9038, 9038, 9041, 9041, 9044, 9044, 9045, 9047, 9048, 9048, 9050, 9050, 9050, 9052, 9052, 9054, 9055, 9056, 9057, 9057, 9058, 9060, 9060, 9061, 9061, 9062, 9065, 9065, 9066, 9067, 9068, 9069, 9069, 9069, 9070, 9070, 9071, 9072, 9073, 9073, 9073, 9075, 9075, 9075, 9075, 9077, 9078, 9079, 9080, 9082, 9083, 9083, 9084, 9085, 9085, 9086, 9087, 9088, 9091, 9091, 9092, 9092, 9092, 9093, 9094, 9094, 9094, 9095, 9097, 9097, 9098, 9098, 9099, 9099, 9100, 9103, 9104, 9105, 9105, 9109, 9109, 9110, 9111, 9113, 9113, 9114, 9116, 9116, 9117, 9117, 9118, 9118, 9120, 9120, 9120, 9120, 9121, 9123, 9124, 9125, 9130, 9130, 9130, 9130, 9131, 9132, 9132, 9133, 9133, 9133, 9133, 9133, 9134, 9136, 9137, 9138, 9138, 9138, 9141, 9145, 9147, 9148, 9153, 9155, 9157, 9157, 9159, 9160, 9160, 9161, 9162, 9163, 9165, 9166, 9166, 9169, 9169, 9169, 9169, 9170, 9170, 9171, 9173, 9174, 9175, 9175, 9177, 9179, 9179, 9179, 9179, 9181, 9181, 9184, 9184, 9184, 9187, 9188, 9189, 9191, 9193, 9194, 9194, 9195, 9195, 9196, 9197, 9198, 9199, 9200, 9200, 9200, 9203, 9203, 9204, 9205, 9206, 9208, 9209, 9209, 9209, 9210, 9211, 9216, 9217, 9217, 9217, 9218, 9218, 9218, 9219, 9220, 9221, 9222, 9222, 9225, 9225, 9228, 9228, 9229, 9229, 9230, 9231, 9232, 9232, 9232, 9233, 9233, 9233, 9233, 9235, 9237, 9238, 9239, 9239, 9241, 9243, 9245, 9246, 9247, 9247, 9248, 9248, 9248, 9250, 9250, 9251, 9252, 9252, 9252, 9253, 9256, 9258, 9258, 9260, 9260, 9263, 9264, 9265, 9266, 9266, 9266, 9269, 9271, 9271, 9277, 9277, 9277, 9277, 9278, 9283, 9283, 9283, 9283, 9284, 9289, 9289, 9290, 9291, 9293, 9293, 9295, 9295, 9297, 9298, 9300, 9300, 9303, 9303, 9303, 9303, 9304, 9305, 9305, 9306, 9306, 9307, 9307, 9307, 9308, 9308, 9308, 9309, 9309, 9310, 9310, 9310, 9310, 9311, 9313, 9314, 9314, 9315, 9315, 9316, 9317, 9318, 9319, 9319, 9319, 9321, 9321, 9324, 9326, 9326, 9327, 9329, 9331, 9333, 9334, 9336, 9336, 9337, 9341, 9341, 9342, 9343, 9343, 9344, 9344, 9347, 9349, 9350, 9351, 9353, 9354, 9354, 9355, 9356, 9357, 9358, 9358, 9359, 9359, 9359, 9360, 9361, 9362, 9362, 9362, 9363, 9363, 9363, 9364, 9364, 9366, 9368, 9368, 9369, 9370, 9372, 9372, 9373, 9377, 9377, 9379, 9379, 9380, 9383, 9384, 9386, 9387, 9388, 9388, 9388, 9389, 9390, 9390, 9390, 9392, 9393, 9393, 9393, 9393, 9394, 9395, 9395, 9396, 9399, 9399, 9399, 9400, 9400, 9402, 9402, 9402, 9403, 9405, 9407, 9409, 9410, 9413, 9413, 9414, 9414, 9416, 9416, 9419, 9422, 9422, 9422, 9424, 9425, 9425, 9426, 9426, 9428, 9430, 9431, 9431, 9431, 9432, 9433, 9434, 9434, 9434, 9435, 9436, 9437, 9438, 9438, 9439, 9439, 9441, 9442, 9445, 9445, 9446, 9446, 9447, 9448, 9448, 9450, 9450, 9454, 9456, 9457, 9460, 9463, 9465, 9467, 9468, 9468, 9469, 9469, 9473, 9473, 9475, 9475, 9476, 9476, 9478, 9478, 9480, 9480, 9481, 9481, 9483, 9484, 9486, 9488, 9488, 9489, 9490, 9491, 9491, 9491, 9492, 9494, 9494, 9494, 9495, 9495, 9499, 9501, 9502, 9503, 9504, 9505, 9506, 9507, 9507, 9507, 9507, 9508, 9508, 9511, 9511, 9511, 9512, 9513, 9513, 9514, 9514, 9514, 9516, 9517, 9517, 9520, 9520, 9521, 9521, 9522, 9522, 9524, 9524, 9525, 9525, 9526, 9526, 9527, 9529, 9529, 9532, 9532, 9532, 9534, 9534, 9535, 9535, 9536, 9537, 9539, 9539, 9539, 9540, 9541, 9542, 9543, 9544, 9544, 9544, 9545, 9545, 9547, 9547, 9548, 9548, 9551, 9552, 9553, 9553, 9554, 9555, 9556, 9556, 9557, 9557, 9558, 9558, 9558, 9559, 9561, 9561, 9562, 9562, 9566, 9566, 9567, 9568, 9569, 9571, 9573, 9576, 9576, 9578, 9579, 9580, 9584, 9586, 9587, 9592, 9592, 9594, 9595, 9596, 9598, 9604, 9605, 9605, 9606, 9606, 9608, 9612, 9614, 9614, 9614, 9615, 9618, 9620, 9621, 9622, 9622, 9623, 9623, 9625, 9625, 9626, 9628, 9629, 9630, 9631, 9632, 9632, 9632, 9633, 9634, 9634, 9635, 9635, 9636, 9636, 9640, 9640, 9641, 9641, 9641, 9642, 9642, 9643, 9643, 9643, 9645, 9645, 9646, 9646, 9646, 9647, 9650, 9651, 9651, 9653, 9654, 9654, 9655, 9655, 9656, 9656, 9659, 9660, 9660, 9661, 9661, 9662, 9664, 9666, 9666, 9666, 9667, 9668, 9669, 9670, 9672, 9673, 9674, 9677, 9679, 9679, 9680, 9680, 9681, 9681, 9683, 9685, 9686, 9687, 9691, 9691, 9691, 9693, 9696, 9697, 9697, 9698, 9699, 9701, 9701, 9703, 9704, 9705, 9706, 9708, 9708, 9708, 9709, 9710, 9710, 9711, 9715, 9715, 9716, 9716, 9716, 9717, 9718, 9719, 9720, 9720, 9721, 9722, 9722, 9724, 9724, 9728, 9728, 9729, 9731, 9733, 9733, 9735, 9736, 9737, 9739, 9740, 9742, 9743, 9744, 9745, 9745, 9746, 9747, 9750, 9750, 9750, 9752, 9753, 9754, 9754, 9756, 9757, 9757, 9758, 9758, 9760, 9760, 9766, 9768, 9770, 9770, 9774, 9775, 9776, 9776, 9776, 9778, 9779, 9781, 9783, 9783, 9783, 9783, 9785, 9786, 9787, 9788, 9788, 9790, 9790, 9793, 9794, 9795, 9795, 9795, 9796, 9798, 9800, 9801, 9801, 9801, 9802, 9803, 9804, 9807, 9807, 9808, 9810, 9811, 9811, 9811, 9814, 9814, 9814, 9815, 9816, 9817, 9817, 9817, 9817, 9818, 9818, 9819, 9820, 9821, 9821, 9822, 9824, 9824, 9825, 9825, 9825, 9826, 9827, 9828, 9829, 9831, 9832, 9834, 9835, 9835, 9836, 9837, 9838, 9839, 9840, 9840, 9840, 9841, 9841, 9843, 9845, 9845, 9845, 9847, 9848, 9848, 9848, 9848, 9848, 9850, 9850, 9851, 9852, 9853, 9853, 9854, 9855, 9856, 9858, 9858, 9858, 9860, 9860, 9862, 9862, 9863, 9864, 9867, 9870, 9872, 9873, 9873, 9874, 9875, 9875, 9877, 9877, 9879, 9881, 9881, 9882, 9882, 9882, 9883, 9883, 9884, 9884, 9884, 9886, 9887, 9887, 9889, 9890, 9891, 9891, 9892, 9892, 9893, 9894, 9895, 9895, 9897, 9897, 9899, 9901, 9901, 9902, 9903, 9904, 9904, 9904, 9905, 9906, 9906, 9907, 9907, 9907, 9907, 9908, 9908, 9910, 9910, 9910, 9911, 9911, 9911, 9913, 9913, 9913, 9916, 9917, 9917, 9919, 9920, 9921, 9924, 9927, 9929, 9930, 9931, 9932, 9933, 9933, 9933, 9934, 9935, 9938, 9939, 9942, 9943, 9945, 9945, 9949, 9949, 9949, 9950, 9952, 9953, 9955, 9955, 9956, 9957, 9959, 9959, 9960, 9961, 9961, 9962, 9962, 9963, 9964, 9964, 9967, 9968, 9972, 9974, 9975, 9975, 9978, 9978, 9978, 9979, 9981, 9981, 9983, 9984, 9985, 9986, 9987, 9987, 9988, 9988, 9988, 9993, 9993, 9994, 9994, 9995, 9998, 10000, 10000, 10000]
## Popcorn Hack 2
- Using bubble sort, make multiple strings that sort alphabetically.
```python
#Enter code here
def bubble_sort(strings):
n = len(strings)
for i in range(n):
for j in range(0, n-i-1):
if strings[j] > strings[j+1]:
strings[j], strings[j+1] = strings[j+1], strings[j]
# List of strings to be sorted
strings = ["tesla", "audi", "jeep", "mustang", "bmw"]
# Call the bubble_sort function to sort the strings
bubble_sort(strings)
# Display the sorted strings
for string in strings:
print(string)
```
audi
bmw
jeep
mustang
tesla
## Quick Sort
Quick Sort is a popular divide-and-conquer sorting algorithm. It divides the array into smaller sub-arrays and recursively sorts them. It's generally more efficient than Bubble Sort for larger lists.
```python
def quick_sort(list):
if len(list) <= 1:
return list
else:
pivot = list[0]
less_than_pivot = [x for x in list[1:] if x <= pivot]
greater_than_pivot = [x for x in list[1:] if x > pivot]
return quick_sort(less_than_pivot) + [pivot] + quick_sort(greater_than_pivot)
import random
list = [random.randint(1, 10000) for _ in range(10000)]
list = quick_sort(list)
print("Quick Sorted listay is:", list)
```
Quick Sorted listay is: [1, 2, 4, 4, 5, 5, 5, 6, 6, 8, 9, 10, 10, 14, 14, 15, 16, 18, 21, 22, 22, 22, 22, 24, 24, 25, 26, 27, 27, 27, 27, 27, 29, 30, 31, 31, 32, 33, 33, 35, 35, 36, 37, 37, 38, 40, 41, 41, 42, 43, 44, 44, 45, 45, 46, 49, 51, 53, 53, 54, 54, 55, 56, 57, 57, 59, 62, 62, 63, 63, 64, 64, 65, 67, 67, 68, 68, 68, 69, 69, 70, 70, 72, 72, 73, 75, 77, 77, 79, 79, 80, 80, 80, 82, 83, 84, 84, 84, 85, 85, 88, 89, 90, 90, 94, 97, 98, 101, 101, 102, 105, 105, 105, 106, 106, 108, 109, 110, 111, 111, 112, 113, 115, 115, 116, 116, 119, 120, 121, 122, 128, 128, 129, 135, 136, 136, 137, 137, 138, 141, 142, 143, 145, 145, 147, 150, 151, 151, 152, 153, 154, 154, 156, 157, 157, 157, 158, 162, 163, 163, 165, 165, 166, 166, 166, 168, 169, 172, 174, 175, 175, 181, 183, 184, 184, 184, 187, 188, 188, 189, 189, 191, 192, 192, 193, 193, 193, 193, 193, 194, 194, 194, 196, 197, 198, 199, 199, 201, 201, 204, 204, 208, 208, 209, 210, 210, 210, 212, 215, 216, 216, 216, 216, 217, 217, 217, 218, 219, 220, 222, 223, 225, 225, 225, 226, 227, 227, 229, 231, 232, 233, 234, 236, 239, 240, 241, 241, 241, 242, 243, 243, 244, 245, 246, 248, 249, 249, 249, 251, 253, 253, 255, 258, 259, 259, 263, 264, 266, 266, 268, 271, 271, 271, 272, 272, 275, 275, 276, 277, 277, 279, 279, 284, 286, 286, 286, 289, 289, 289, 289, 290, 290, 293, 293, 294, 295, 296, 298, 300, 301, 302, 303, 304, 305, 306, 307, 307, 307, 307, 309, 309, 312, 312, 315, 315, 317, 317, 317, 318, 320, 320, 320, 321, 323, 325, 325, 326, 326, 326, 326, 327, 327, 329, 330, 330, 330, 330, 330, 330, 331, 331, 332, 333, 333, 335, 337, 337, 337, 338, 339, 339, 340, 340, 341, 341, 341, 344, 344, 345, 347, 347, 348, 349, 350, 350, 351, 351, 351, 351, 352, 353, 353, 354, 356, 356, 357, 359, 361, 362, 364, 365, 365, 368, 368, 369, 369, 370, 370, 372, 374, 374, 375, 375, 376, 378, 381, 382, 384, 384, 384, 384, 386, 387, 389, 389, 392, 392, 392, 392, 393, 393, 394, 394, 397, 398, 398, 400, 401, 402, 402, 402, 403, 406, 406, 407, 407, 410, 410, 413, 414, 415, 415, 417, 419, 420, 423, 423, 424, 429, 430, 430, 431, 431, 433, 433, 434, 434, 434, 435, 435, 438, 438, 440, 440, 446, 450, 450, 457, 458, 458, 460, 460, 461, 461, 462, 462, 465, 466, 467, 467, 468, 468, 468, 470, 471, 472, 473, 473, 474, 476, 476, 477, 478, 478, 479, 479, 480, 480, 482, 483, 486, 487, 487, 488, 491, 491, 493, 495, 495, 496, 497, 498, 499, 500, 501, 501, 502, 505, 505, 505, 506, 507, 508, 509, 509, 511, 511, 511, 512, 512, 513, 514, 514, 515, 516, 517, 517, 517, 518, 518, 518, 519, 519, 521, 522, 525, 526, 527, 528, 528, 528, 528, 529, 529, 530, 531, 531, 532, 532, 534, 535, 537, 537, 539, 539, 540, 540, 543, 543, 544, 544, 545, 545, 546, 548, 548, 549, 552, 554, 554, 554, 557, 558, 559, 559, 562, 562, 564, 565, 565, 566, 566, 567, 567, 570, 570, 573, 573, 574, 574, 575, 578, 579, 580, 580, 583, 584, 585, 586, 587, 588, 588, 588, 588, 590, 592, 592, 592, 593, 594, 595, 596, 596, 596, 601, 601, 601, 602, 602, 603, 603, 605, 606, 606, 607, 607, 607, 608, 608, 609, 610, 610, 610, 611, 611, 612, 612, 613, 614, 615, 616, 620, 621, 621, 621, 623, 624, 625, 626, 626, 627, 627, 628, 628, 630, 632, 632, 632, 636, 636, 636, 637, 637, 638, 639, 642, 642, 643, 643, 644, 648, 648, 649, 649, 649, 650, 652, 652, 653, 653, 654, 654, 657, 657, 658, 658, 659, 660, 661, 661, 662, 662, 663, 665, 666, 667, 668, 668, 668, 669, 669, 669, 670, 671, 672, 676, 677, 678, 681, 682, 683, 685, 686, 687, 691, 692, 692, 694, 694, 694, 695, 696, 696, 696, 700, 702, 704, 707, 708, 709, 709, 712, 712, 714, 714, 714, 715, 715, 715, 717, 717, 718, 718, 719, 719, 719, 719, 720, 721, 721, 722, 723, 724, 724, 725, 726, 726, 726, 726, 728, 729, 732, 732, 732, 734, 734, 735, 735, 735, 736, 737, 738, 739, 740, 740, 742, 743, 744, 746, 746, 746, 747, 749, 749, 750, 750, 754, 756, 756, 756, 757, 758, 759, 759, 761, 762, 762, 763, 763, 764, 765, 765, 767, 770, 771, 772, 773, 774, 776, 777, 778, 778, 780, 780, 781, 781, 781, 781, 782, 783, 784, 785, 785, 788, 789, 791, 792, 792, 793, 793, 795, 796, 797, 799, 799, 799, 799, 800, 803, 804, 804, 804, 805, 806, 807, 810, 811, 814, 814, 815, 816, 816, 818, 819, 819, 819, 821, 824, 824, 824, 825, 826, 828, 828, 829, 829, 832, 832, 834, 836, 836, 836, 837, 837, 838, 839, 839, 841, 842, 842, 842, 842, 843, 843, 843, 846, 848, 849, 850, 851, 851, 851, 851, 852, 853, 854, 856, 858, 858, 858, 859, 860, 861, 862, 862, 862, 863, 864, 864, 864, 866, 866, 868, 870, 871, 872, 874, 875, 876, 877, 880, 881, 881, 882, 884, 885, 886, 887, 887, 887, 887, 888, 888, 889, 889, 890, 890, 890, 892, 893, 895, 895, 899, 899, 899, 900, 902, 904, 905, 907, 909, 910, 910, 912, 913, 914, 916, 916, 916, 918, 919, 921, 922, 924, 925, 925, 926, 927, 927, 928, 928, 930, 933, 933, 934, 935, 936, 937, 938, 938, 938, 939, 939, 939, 940, 940, 942, 942, 946, 947, 947, 948, 949, 950, 953, 954, 955, 955, 955, 956, 956, 957, 958, 959, 960, 964, 966, 966, 966, 969, 969, 972, 972, 972, 974, 975, 975, 975, 979, 980, 981, 984, 984, 986, 987, 987, 988, 988, 988, 989, 990, 993, 994, 994, 994, 995, 995, 996, 996, 997, 998, 999, 1002, 1003, 1003, 1004, 1005, 1007, 1007, 1007, 1007, 1008, 1009, 1010, 1011, 1011, 1012, 1012, 1013, 1013, 1015, 1015, 1018, 1018, 1019, 1019, 1020, 1020, 1020, 1020, 1025, 1025, 1026, 1026, 1027, 1027, 1027, 1029, 1029, 1031, 1031, 1033, 1034, 1036, 1036, 1039, 1039, 1040, 1041, 1041, 1042, 1044, 1045, 1047, 1047, 1049, 1049, 1051, 1051, 1053, 1056, 1059, 1059, 1060, 1062, 1063, 1063, 1063, 1063, 1064, 1064, 1066, 1066, 1066, 1067, 1068, 1068, 1069, 1069, 1070, 1070, 1070, 1074, 1075, 1079, 1087, 1088, 1089, 1090, 1090, 1092, 1094, 1094, 1095, 1096, 1097, 1099, 1100, 1100, 1101, 1104, 1106, 1107, 1107, 1108, 1109, 1109, 1111, 1112, 1112, 1113, 1113, 1114, 1115, 1117, 1117, 1117, 1119, 1121, 1121, 1121, 1125, 1129, 1129, 1129, 1130, 1132, 1133, 1133, 1136, 1136, 1136, 1138, 1140, 1140, 1140, 1142, 1142, 1143, 1144, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1154, 1154, 1155, 1155, 1156, 1156, 1157, 1158, 1158, 1160, 1160, 1162, 1164, 1164, 1167, 1167, 1167, 1167, 1169, 1169, 1169, 1169, 1171, 1173, 1174, 1175, 1176, 1176, 1176, 1177, 1177, 1178, 1179, 1181, 1184, 1186, 1186, 1187, 1187, 1187, 1190, 1192, 1193, 1194, 1196, 1198, 1198, 1199, 1199, 1201, 1203, 1205, 1205, 1206, 1206, 1207, 1207, 1207, 1208, 1208, 1210, 1211, 1211, 1211, 1211, 1212, 1214, 1215, 1215, 1216, 1217, 1217, 1218, 1218, 1220, 1220, 1220, 1222, 1222, 1223, 1225, 1231, 1232, 1232, 1233, 1233, 1234, 1235, 1236, 1238, 1239, 1239, 1240, 1242, 1244, 1244, 1245, 1247, 1247, 1248, 1249, 1250, 1252, 1252, 1254, 1254, 1255, 1259, 1259, 1260, 1260, 1261, 1261, 1262, 1264, 1264, 1264, 1265, 1265, 1266, 1266, 1268, 1269, 1269, 1269, 1271, 1272, 1273, 1273, 1274, 1274, 1276, 1276, 1278, 1279, 1279, 1280, 1282, 1284, 1285, 1286, 1287, 1288, 1289, 1289, 1292, 1292, 1293, 1294, 1295, 1295, 1296, 1300, 1302, 1302, 1303, 1303, 1304, 1304, 1304, 1305, 1305, 1306, 1307, 1308, 1309, 1311, 1313, 1313, 1313, 1314, 1314, 1315, 1317, 1319, 1320, 1320, 1322, 1324, 1325, 1325, 1326, 1327, 1328, 1328, 1328, 1328, 1331, 1332, 1335, 1335, 1336, 1336, 1339, 1340, 1340, 1340, 1341, 1345, 1346, 1346, 1350, 1350, 1351, 1351, 1352, 1352, 1352, 1354, 1356, 1356, 1358, 1358, 1360, 1361, 1362, 1362, 1363, 1363, 1364, 1365, 1366, 1366, 1366, 1366, 1367, 1367, 1368, 1370, 1373, 1373, 1375, 1375, 1377, 1378, 1380, 1382, 1382, 1383, 1383, 1383, 1384, 1384, 1384, 1385, 1385, 1386, 1387, 1387, 1387, 1387, 1388, 1389, 1389, 1391, 1391, 1392, 1394, 1396, 1396, 1398, 1399, 1399, 1400, 1400, 1400, 1401, 1401, 1404, 1404, 1405, 1407, 1408, 1409, 1409, 1411, 1412, 1413, 1413, 1414, 1415, 1417, 1417, 1418, 1419, 1420, 1420, 1421, 1422, 1424, 1424, 1424, 1424, 1424, 1425, 1426, 1427, 1429, 1429, 1429, 1429, 1431, 1433, 1435, 1435, 1437, 1438, 1438, 1439, 1440, 1443, 1443, 1445, 1448, 1448, 1450, 1451, 1452, 1453, 1454, 1454, 1455, 1456, 1457, 1457, 1458, 1458, 1461, 1462, 1463, 1463, 1467, 1469, 1469, 1470, 1470, 1470, 1471, 1473, 1473, 1475, 1475, 1476, 1477, 1478, 1478, 1479, 1482, 1485, 1485, 1486, 1490, 1490, 1491, 1493, 1494, 1494, 1494, 1494, 1496, 1497, 1498, 1498, 1498, 1498, 1499, 1499, 1501, 1501, 1501, 1503, 1504, 1504, 1506, 1506, 1507, 1507, 1508, 1508, 1510, 1511, 1513, 1514, 1514, 1514, 1515, 1516, 1517, 1518, 1518, 1520, 1520, 1525, 1528, 1531, 1532, 1534, 1536, 1537, 1537, 1539, 1539, 1540, 1541, 1542, 1542, 1544, 1547, 1547, 1548, 1550, 1550, 1552, 1552, 1554, 1555, 1555, 1558, 1559, 1560, 1561, 1562, 1563, 1566, 1569, 1569, 1571, 1572, 1572, 1573, 1574, 1574, 1577, 1578, 1579, 1580, 1581, 1581, 1581, 1582, 1582, 1583, 1583, 1584, 1585, 1587, 1587, 1587, 1588, 1589, 1589, 1590, 1590, 1590, 1591, 1591, 1592, 1592, 1593, 1593, 1594, 1596, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1602, 1605, 1606, 1606, 1609, 1610, 1611, 1613, 1613, 1616, 1616, 1616, 1616, 1617, 1618, 1618, 1619, 1621, 1621, 1622, 1623, 1624, 1624, 1624, 1625, 1628, 1628, 1629, 1630, 1630, 1630, 1631, 1631, 1633, 1633, 1633, 1634, 1635, 1637, 1638, 1639, 1640, 1642, 1642, 1642, 1642, 1644, 1646, 1649, 1649, 1649, 1652, 1652, 1653, 1655, 1657, 1658, 1659, 1662, 1663, 1664, 1664, 1664, 1664, 1666, 1666, 1666, 1666, 1667, 1669, 1670, 1671, 1671, 1672, 1672, 1672, 1673, 1674, 1674, 1674, 1674, 1676, 1678, 1678, 1678, 1679, 1680, 1680, 1682, 1684, 1684, 1685, 1686, 1686, 1689, 1689, 1689, 1689, 1690, 1690, 1695, 1698, 1700, 1700, 1700, 1703, 1704, 1705, 1706, 1706, 1707, 1708, 1712, 1714, 1715, 1717, 1718, 1718, 1720, 1721, 1722, 1723, 1723, 1723, 1724, 1725, 1726, 1726, 1727, 1727, 1728, 1728, 1731, 1731, 1734, 1735, 1735, 1735, 1736, 1736, 1737, 1739, 1739, 1741, 1742, 1742, 1742, 1742, 1742, 1743, 1743, 1744, 1745, 1745, 1745, 1748, 1748, 1748, 1748, 1751, 1752, 1753, 1754, 1756, 1757, 1758, 1759, 1759, 1759, 1760, 1760, 1760, 1761, 1764, 1765, 1765, 1766, 1767, 1768, 1769, 1769, 1769, 1770, 1771, 1773, 1773, 1775, 1776, 1777, 1778, 1779, 1779, 1780, 1781, 1781, 1781, 1783, 1783, 1783, 1784, 1785, 1787, 1788, 1788, 1789, 1789, 1790, 1791, 1791, 1792, 1792, 1793, 1793, 1793, 1794, 1795, 1795, 1796, 1796, 1797, 1798, 1798, 1799, 1802, 1803, 1803, 1805, 1805, 1805, 1806, 1809, 1809, 1811, 1812, 1813, 1813, 1816, 1819, 1822, 1822, 1823, 1823, 1823, 1831, 1831, 1835, 1836, 1836, 1836, 1837, 1839, 1839, 1841, 1841, 1845, 1845, 1845, 1846, 1847, 1847, 1848, 1848, 1849, 1850, 1850, 1851, 1853, 1856, 1856, 1857, 1861, 1861, 1861, 1862, 1863, 1864, 1864, 1866, 1868, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1874, 1876, 1877, 1877, 1884, 1884, 1887, 1888, 1890, 1890, 1892, 1893, 1893, 1895, 1895, 1898, 1899, 1899, 1901, 1902, 1903, 1906, 1907, 1911, 1913, 1913, 1914, 1914, 1915, 1916, 1920, 1923, 1923, 1923, 1924, 1925, 1925, 1925, 1927, 1927, 1927, 1927, 1931, 1931, 1932, 1933, 1934, 1934, 1935, 1935, 1936, 1936, 1937, 1937, 1938, 1940, 1940, 1941, 1941, 1942, 1943, 1944, 1946, 1947, 1947, 1947, 1948, 1948, 1951, 1954, 1955, 1956, 1957, 1957, 1958, 1959, 1959, 1962, 1964, 1964, 1965, 1966, 1966, 1967, 1969, 1970, 1971, 1973, 1974, 1978, 1978, 1979, 1980, 1980, 1981, 1981, 1982, 1982, 1982, 1983, 1987, 1987, 1988, 1988, 1989, 1991, 1991, 1993, 1994, 1997, 1997, 1998, 1998, 1999, 2000, 2001, 2001, 2002, 2002, 2003, 2003, 2004, 2004, 2005, 2005, 2008, 2008, 2009, 2010, 2010, 2011, 2011, 2013, 2013, 2014, 2014, 2014, 2015, 2019, 2020, 2021, 2021, 2025, 2025, 2026, 2027, 2028, 2031, 2031, 2031, 2034, 2037, 2038, 2040, 2040, 2041, 2041, 2041, 2041, 2042, 2042, 2043, 2043, 2049, 2049, 2050, 2051, 2051, 2051, 2052, 2052, 2053, 2054, 2055, 2055, 2056, 2057, 2057, 2058, 2058, 2059, 2059, 2059, 2060, 2061, 2061, 2062, 2063, 2064, 2065, 2065, 2069, 2070, 2070, 2072, 2072, 2073, 2075, 2076, 2077, 2079, 2079, 2079, 2081, 2082, 2084, 2085, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2096, 2098, 2100, 2100, 2100, 2101, 2102, 2103, 2106, 2107, 2107, 2108, 2109, 2110, 2111, 2112, 2114, 2115, 2115, 2115, 2119, 2121, 2123, 2125, 2126, 2126, 2127, 2128, 2128, 2131, 2132, 2132, 2132, 2134, 2135, 2136, 2137, 2139, 2140, 2140, 2141, 2141, 2141, 2141, 2142, 2142, 2143, 2143, 2145, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2154, 2154, 2154, 2154, 2155, 2156, 2156, 2158, 2158, 2158, 2159, 2160, 2160, 2161, 2161, 2161, 2162, 2163, 2163, 2164, 2164, 2169, 2169, 2171, 2172, 2172, 2173, 2176, 2176, 2176, 2178, 2179, 2179, 2181, 2183, 2183, 2184, 2184, 2184, 2185, 2186, 2189, 2189, 2189, 2190, 2190, 2190, 2192, 2193, 2194, 2194, 2195, 2195, 2196, 2196, 2197, 2199, 2199, 2200, 2201, 2202, 2202, 2202, 2203, 2205, 2207, 2208, 2210, 2211, 2211, 2211, 2212, 2213, 2213, 2214, 2215, 2216, 2217, 2217, 2217, 2219, 2219, 2219, 2220, 2222, 2222, 2226, 2226, 2229, 2230, 2231, 2233, 2233, 2233, 2233, 2234, 2234, 2235, 2235, 2236, 2236, 2239, 2242, 2242, 2244, 2246, 2247, 2247, 2247, 2249, 2251, 2251, 2251, 2255, 2256, 2260, 2263, 2265, 2265, 2265, 2268, 2268, 2272, 2273, 2274, 2276, 2278, 2280, 2281, 2282, 2283, 2284, 2285, 2285, 2286, 2288, 2289, 2291, 2292, 2292, 2292, 2292, 2292, 2294, 2294, 2297, 2299, 2300, 2300, 2301, 2302, 2302, 2303, 2303, 2303, 2303, 2304, 2306, 2308, 2310, 2311, 2312, 2312, 2312, 2313, 2313, 2315, 2317, 2318, 2319, 2319, 2320, 2321, 2321, 2324, 2325, 2325, 2325, 2327, 2328, 2330, 2332, 2333, 2335, 2335, 2336, 2336, 2336, 2337, 2338, 2340, 2342, 2343, 2343, 2343, 2343, 2346, 2347, 2348, 2349, 2354, 2355, 2355, 2356, 2357, 2357, 2357, 2358, 2358, 2358, 2359, 2360, 2362, 2363, 2364, 2366, 2367, 2367, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2378, 2379, 2382, 2384, 2385, 2385, 2386, 2386, 2386, 2390, 2390, 2390, 2391, 2391, 2393, 2394, 2394, 2395, 2396, 2397, 2397, 2397, 2398, 2398, 2401, 2402, 2402, 2404, 2404, 2406, 2407, 2408, 2408, 2408, 2410, 2411, 2412, 2413, 2413, 2414, 2416, 2417, 2418, 2420, 2420, 2421, 2422, 2422, 2423, 2423, 2424, 2427, 2428, 2431, 2432, 2433, 2434, 2436, 2436, 2439, 2441, 2442, 2445, 2445, 2446, 2447, 2447, 2449, 2452, 2453, 2456, 2457, 2459, 2460, 2465, 2465, 2465, 2466, 2468, 2469, 2469, 2472, 2473, 2474, 2474, 2475, 2475, 2477, 2478, 2480, 2480, 2481, 2481, 2481, 2481, 2482, 2482, 2482, 2482, 2483, 2483, 2484, 2485, 2486, 2487, 2489, 2489, 2491, 2493, 2493, 2494, 2495, 2495, 2496, 2496, 2499, 2500, 2502, 2503, 2506, 2506, 2506, 2507, 2508, 2509, 2509, 2510, 2510, 2514, 2514, 2515, 2516, 2516, 2517, 2517, 2518, 2518, 2518, 2519, 2519, 2523, 2528, 2528, 2529, 2532, 2532, 2533, 2534, 2535, 2535, 2536, 2539, 2539, 2539, 2540, 2541, 2541, 2542, 2542, 2543, 2545, 2545, 2546, 2546, 2547, 2548, 2549, 2549, 2549, 2549, 2550, 2550, 2551, 2551, 2552, 2553, 2553, 2553, 2555, 2555, 2556, 2556, 2557, 2557, 2557, 2558, 2559, 2560, 2560, 2562, 2563, 2567, 2568, 2570, 2570, 2570, 2572, 2573, 2574, 2574, 2574, 2580, 2581, 2583, 2584, 2585, 2586, 2587, 2589, 2590, 2592, 2592, 2593, 2593, 2594, 2594, 2596, 2596, 2597, 2597, 2597, 2598, 2598, 2600, 2601, 2601, 2602, 2603, 2607, 2610, 2611, 2616, 2616, 2617, 2618, 2619, 2620, 2621, 2621, 2622, 2623, 2623, 2625, 2625, 2627, 2629, 2632, 2633, 2633, 2634, 2634, 2636, 2639, 2639, 2640, 2641, 2641, 2642, 2642, 2643, 2644, 2645, 2645, 2649, 2650, 2650, 2651, 2652, 2652, 2652, 2654, 2655, 2655, 2655, 2656, 2660, 2661, 2661, 2661, 2661, 2662, 2662, 2665, 2666, 2668, 2668, 2668, 2669, 2673, 2674, 2676, 2676, 2677, 2677, 2678, 2678, 2679, 2679, 2681, 2683, 2683, 2683, 2684, 2684, 2685, 2688, 2688, 2689, 2689, 2690, 2691, 2691, 2692, 2692, 2693, 2694, 2694, 2695, 2695, 2697, 2698, 2699, 2699, 2699, 2701, 2701, 2701, 2702, 2703, 2704, 2705, 2707, 2708, 2708, 2708, 2708, 2708, 2709, 2709, 2713, 2714, 2714, 2714, 2716, 2717, 2718, 2722, 2722, 2724, 2726, 2729, 2730, 2730, 2732, 2732, 2733, 2733, 2733, 2734, 2736, 2737, 2738, 2738, 2739, 2740, 2740, 2740, 2740, 2741, 2742, 2742, 2743, 2743, 2745, 2749, 2750, 2750, 2753, 2753, 2756, 2760, 2761, 2762, 2763, 2763, 2765, 2765, 2766, 2767, 2767, 2767, 2768, 2769, 2770, 2771, 2771, 2772, 2772, 2772, 2773, 2774, 2774, 2776, 2777, 2777, 2780, 2782, 2782, 2783, 2785, 2785, 2787, 2788, 2789, 2790, 2793, 2793, 2794, 2795, 2796, 2796, 2797, 2797, 2798, 2802, 2802, 2804, 2805, 2805, 2806, 2806, 2807, 2807, 2808, 2809, 2809, 2809, 2809, 2809, 2812, 2812, 2813, 2815, 2815, 2816, 2817, 2817, 2819, 2821, 2826, 2827, 2827, 2827, 2828, 2829, 2830, 2830, 2832, 2833, 2834, 2835, 2835, 2835, 2836, 2837, 2837, 2837, 2838, 2838, 2838, 2839, 2840, 2841, 2841, 2841, 2843, 2843, 2844, 2846, 2846, 2850, 2851, 2851, 2857, 2859, 2861, 2862, 2863, 2863, 2865, 2866, 2866, 2869, 2870, 2871, 2872, 2872, 2872, 2873, 2873, 2874, 2875, 2878, 2879, 2879, 2879, 2881, 2881, 2882, 2884, 2885, 2885, 2885, 2886, 2886, 2887, 2889, 2890, 2890, 2891, 2892, 2892, 2893, 2893, 2894, 2894, 2898, 2899, 2902, 2902, 2903, 2903, 2905, 2907, 2907, 2907, 2908, 2909, 2909, 2911, 2912, 2912, 2914, 2914, 2914, 2915, 2915, 2916, 2917, 2917, 2917, 2920, 2921, 2922, 2922, 2924, 2925, 2926, 2927, 2928, 2928, 2929, 2931, 2933, 2934, 2934, 2935, 2935, 2936, 2936, 2936, 2937, 2937, 2938, 2938, 2938, 2939, 2939, 2939, 2940, 2941, 2941, 2942, 2943, 2944, 2946, 2949, 2950, 2950, 2950, 2951, 2952, 2953, 2953, 2954, 2955, 2955, 2955, 2956, 2956, 2957, 2958, 2960, 2962, 2962, 2963, 2964, 2964, 2965, 2966, 2966, 2967, 2967, 2967, 2968, 2968, 2972, 2973, 2974, 2975, 2976, 2976, 2977, 2978, 2980, 2980, 2980, 2981, 2981, 2981, 2982, 2982, 2982, 2982, 2985, 2986, 2987, 2989, 2990, 2990, 2992, 2992, 2993, 2994, 2995, 2998, 2998, 3000, 3001, 3003, 3006, 3006, 3007, 3007, 3008, 3009, 3011, 3011, 3013, 3014, 3014, 3014, 3016, 3017, 3017, 3018, 3018, 3018, 3018, 3019, 3020, 3021, 3023, 3026, 3027, 3027, 3028, 3029, 3033, 3034, 3035, 3035, 3036, 3036, 3040, 3040, 3045, 3046, 3046, 3047, 3048, 3049, 3050, 3053, 3054, 3056, 3056, 3057, 3057, 3058, 3059, 3060, 3063, 3063, 3067, 3067, 3068, 3069, 3069, 3070, 3071, 3072, 3076, 3076, 3078, 3078, 3081, 3083, 3084, 3085, 3087, 3087, 3089, 3089, 3089, 3090, 3093, 3094, 3095, 3095, 3096, 3099, 3100, 3100, 3101, 3102, 3102, 3103, 3103, 3103, 3104, 3104, 3105, 3105, 3105, 3106, 3106, 3107, 3111, 3112, 3112, 3114, 3116, 3116, 3117, 3118, 3122, 3124, 3124, 3124, 3124, 3126, 3126, 3128, 3128, 3130, 3131, 3133, 3134, 3135, 3136, 3136, 3140, 3140, 3141, 3141, 3142, 3143, 3145, 3146, 3147, 3150, 3150, 3151, 3151, 3151, 3152, 3153, 3153, 3153, 3154, 3156, 3156, 3158, 3158, 3159, 3160, 3161, 3161, 3162, 3162, 3164, 3164, 3167, 3167, 3167, 3168, 3169, 3169, 3172, 3172, 3172, 3173, 3174, 3175, 3175, 3177, 3178, 3178, 3180, 3181, 3182, 3186, 3187, 3188, 3189, 3189, 3189, 3189, 3189, 3190, 3191, 3193, 3193, 3194, 3196, 3196, 3198, 3198, 3198, 3200, 3202, 3202, 3203, 3204, 3205, 3208, 3210, 3213, 3213, 3213, 3214, 3214, 3216, 3216, 3217, 3217, 3218, 3218, 3219, 3219, 3220, 3223, 3223, 3224, 3226, 3226, 3227, 3227, 3227, 3229, 3230, 3230, 3231, 3232, 3234, 3235, 3235, 3237, 3239, 3240, 3240, 3240, 3240, 3241, 3242, 3243, 3244, 3244, 3245, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 3251, 3256, 3258, 3265, 3266, 3266, 3267, 3268, 3269, 3270, 3270, 3271, 3273, 3274, 3276, 3276, 3277, 3278, 3279, 3279, 3280, 3281, 3281, 3282, 3282, 3282, 3282, 3283, 3283, 3284, 3284, 3288, 3289, 3292, 3292, 3293, 3295, 3296, 3297, 3297, 3299, 3299, 3300, 3300, 3301, 3301, 3301, 3303, 3306, 3307, 3308, 3310, 3310, 3311, 3311, 3311, 3312, 3315, 3316, 3317, 3317, 3318, 3319, 3320, 3320, 3321, 3321, 3324, 3324, 3325, 3327, 3328, 3328, 3329, 3329, 3335, 3335, 3336, 3341, 3342, 3344, 3347, 3347, 3348, 3348, 3348, 3349, 3350, 3350, 3350, 3353, 3353, 3354, 3356, 3356, 3358, 3362, 3362, 3363, 3367, 3367, 3368, 3368, 3368, 3369, 3371, 3373, 3374, 3374, 3375, 3379, 3380, 3380, 3383, 3384, 3385, 3386, 3386, 3388, 3390, 3390, 3390, 3391, 3391, 3392, 3395, 3395, 3397, 3398, 3398, 3399, 3400, 3401, 3402, 3404, 3405, 3405, 3406, 3406, 3406, 3407, 3408, 3408, 3411, 3412, 3412, 3413, 3413, 3414, 3415, 3417, 3419, 3420, 3423, 3423, 3424, 3424, 3426, 3427, 3427, 3427, 3428, 3428, 3428, 3430, 3430, 3431, 3433, 3438, 3438, 3438, 3439, 3444, 3444, 3446, 3446, 3448, 3449, 3452, 3453, 3453, 3455, 3455, 3456, 3458, 3458, 3459, 3461, 3462, 3462, 3462, 3463, 3464, 3468, 3468, 3470, 3470, 3472, 3472, 3472, 3474, 3474, 3476, 3480, 3481, 3481, 3481, 3482, 3485, 3485, 3488, 3488, 3489, 3490, 3490, 3491, 3492, 3492, 3493, 3493, 3494, 3494, 3494, 3496, 3497, 3497, 3498, 3498, 3498, 3499, 3499, 3500, 3502, 3504, 3508, 3510, 3511, 3512, 3512, 3513, 3515, 3515, 3515, 3516, 3519, 3519, 3519, 3519, 3520, 3522, 3523, 3524, 3524, 3524, 3524, 3525, 3526, 3527, 3528, 3529, 3530, 3530, 3531, 3534, 3535, 3536, 3540, 3542, 3542, 3544, 3544, 3544, 3545, 3548, 3549, 3549, 3550, 3550, 3553, 3553, 3553, 3554, 3555, 3557, 3557, 3558, 3558, 3559, 3560, 3561, 3563, 3563, 3564, 3564, 3565, 3565, 3567, 3568, 3568, 3573, 3575, 3576, 3576, 3577, 3577, 3579, 3581, 3581, 3582, 3583, 3583, 3583, 3584, 3584, 3585, 3586, 3587, 3587, 3589, 3589, 3589, 3590, 3590, 3591, 3591, 3592, 3594, 3595, 3598, 3599, 3599, 3601, 3603, 3603, 3605, 3605, 3606, 3607, 3608, 3610, 3610, 3611, 3613, 3613, 3614, 3614, 3615, 3616, 3617, 3622, 3623, 3625, 3626, 3626, 3627, 3628, 3628, 3629, 3629, 3631, 3631, 3633, 3633, 3634, 3634, 3635, 3636, 3636, 3638, 3639, 3639, 3640, 3641, 3642, 3642, 3643, 3644, 3645, 3645, 3647, 3647, 3647, 3650, 3650, 3652, 3653, 3653, 3654, 3654, 3655, 3655, 3655, 3659, 3659, 3660, 3660, 3661, 3662, 3665, 3666, 3666, 3668, 3668, 3671, 3674, 3676, 3679, 3679, 3680, 3680, 3682, 3683, 3683, 3684, 3684, 3685, 3686, 3686, 3687, 3688, 3692, 3692, 3694, 3695, 3696, 3698, 3699, 3700, 3702, 3702, 3704, 3704, 3705, 3705, 3705, 3706, 3709, 3711, 3712, 3712, 3713, 3716, 3717, 3717, 3719, 3722, 3722, 3723, 3723, 3726, 3727, 3727, 3728, 3729, 3730, 3730, 3730, 3730, 3731, 3731, 3732, 3734, 3734, 3734, 3734, 3735, 3736, 3736, 3738, 3738, 3738, 3738, 3740, 3740, 3744, 3744, 3745, 3747, 3750, 3750, 3751, 3752, 3752, 3752, 3752, 3756, 3756, 3757, 3757, 3758, 3759, 3759, 3759, 3760, 3760, 3761, 3767, 3768, 3768, 3768, 3770, 3770, 3770, 3770, 3771, 3772, 3772, 3773, 3773, 3778, 3779, 3782, 3782, 3783, 3785, 3786, 3787, 3788, 3789, 3791, 3791, 3791, 3792, 3792, 3792, 3792, 3792, 3794, 3795, 3796, 3799, 3799, 3800, 3800, 3803, 3805, 3809, 3810, 3810, 3810, 3810, 3810, 3811, 3813, 3813, 3815, 3816, 3816, 3817, 3818, 3818, 3821, 3822, 3822, 3823, 3825, 3825, 3826, 3827, 3829, 3830, 3830, 3831, 3832, 3832, 3833, 3836, 3838, 3838, 3838, 3841, 3842, 3842, 3844, 3845, 3848, 3850, 3850, 3851, 3851, 3852, 3852, 3853, 3853, 3855, 3856, 3857, 3858, 3860, 3860, 3860, 3861, 3861, 3862, 3863, 3864, 3867, 3867, 3868, 3868, 3868, 3869, 3869, 3869, 3870, 3870, 3871, 3871, 3873, 3873, 3874, 3875, 3876, 3876, 3877, 3880, 3881, 3882, 3882, 3883, 3883, 3883, 3884, 3888, 3889, 3890, 3892, 3893, 3894, 3894, 3894, 3895, 3897, 3897, 3897, 3899, 3901, 3902, 3902, 3903, 3907, 3908, 3912, 3912, 3912, 3913, 3914, 3914, 3915, 3915, 3915, 3915, 3919, 3920, 3923, 3923, 3926, 3927, 3927, 3928, 3928, 3928, 3930, 3931, 3931, 3931, 3932, 3932, 3933, 3933, 3936, 3937, 3937, 3939, 3941, 3941, 3942, 3942, 3944, 3944, 3945, 3945, 3945, 3947, 3947, 3948, 3948, 3951, 3951, 3951, 3952, 3952, 3953, 3953, 3953, 3954, 3954, 3955, 3956, 3959, 3959, 3960, 3962, 3962, 3962, 3963, 3968, 3968, 3969, 3972, 3973, 3974, 3976, 3976, 3977, 3977, 3978, 3978, 3979, 3981, 3981, 3982, 3983, 3984, 3986, 3989, 3989, 3989, 3989, 3990, 3990, 3994, 3994, 3995, 3995, 3995, 3996, 3996, 4000, 4002, 4003, 4003, 4004, 4005, 4008, 4008, 4010, 4010, 4011, 4011, 4012, 4012, 4012, 4014, 4014, 4015, 4016, 4022, 4024, 4025, 4027, 4027, 4033, 4034, 4034, 4035, 4036, 4038, 4039, 4041, 4041, 4043, 4043, 4043, 4044, 4046, 4046, 4046, 4046, 4048, 4048, 4048, 4049, 4050, 4051, 4051, 4052, 4053, 4053, 4053, 4054, 4054, 4056, 4059, 4059, 4059, 4061, 4063, 4065, 4065, 4068, 4068, 4069, 4069, 4069, 4070, 4072, 4072, 4072, 4074, 4075, 4078, 4079, 4080, 4080, 4080, 4083, 4083, 4084, 4084, 4084, 4086, 4087, 4088, 4090, 4090, 4093, 4093, 4093, 4094, 4096, 4097, 4097, 4098, 4098, 4098, 4099, 4100, 4101, 4101, 4101, 4102, 4102, 4105, 4106, 4107, 4108, 4108, 4108, 4109, 4110, 4113, 4115, 4115, 4116, 4118, 4118, 4119, 4122, 4123, 4124, 4126, 4127, 4127, 4128, 4129, 4130, 4133, 4136, 4136, 4136, 4136, 4138, 4139, 4142, 4144, 4144, 4145, 4148, 4148, 4151, 4152, 4153, 4154, 4154, 4154, 4155, 4156, 4156, 4157, 4157, 4157, 4158, 4160, 4160, 4160, 4161, 4162, 4163, 4166, 4166, 4167, 4168, 4169, 4170, 4174, 4175, 4181, 4185, 4186, 4189, 4189, 4189, 4189, 4190, 4190, 4191, 4191, 4196, 4197, 4203, 4204, 4204, 4204, 4205, 4206, 4207, 4207, 4208, 4209, 4209, 4210, 4210, 4212, 4214, 4214, 4214, 4215, 4215, 4216, 4217, 4220, 4221, 4222, 4223, 4224, 4224, 4225, 4225, 4229, 4230, 4230, 4230, 4234, 4234, 4236, 4236, 4236, 4237, 4238, 4239, 4241, 4241, 4242, 4244, 4245, 4245, 4245, 4246, 4248, 4248, 4250, 4250, 4252, 4252, 4253, 4253, 4256, 4257, 4257, 4257, 4258, 4258, 4259, 4259, 4260, 4262, 4262, 4262, 4263, 4264, 4264, 4264, 4265, 4265, 4266, 4266, 4266, 4266, 4267, 4271, 4271, 4272, 4273, 4275, 4280, 4280, 4282, 4285, 4285, 4285, 4285, 4286, 4289, 4290, 4292, 4292, 4293, 4293, 4294, 4294, 4295, 4295, 4295, 4296, 4296, 4297, 4298, 4299, 4300, 4300, 4301, 4301, 4301, 4302, 4302, 4306, 4307, 4307, 4309, 4309, 4309, 4311, 4311, 4311, 4313, 4316, 4317, 4320, 4322, 4324, 4324, 4326, 4327, 4328, 4329, 4330, 4330, 4331, 4333, 4334, 4334, 4336, 4337, 4337, 4338, 4340, 4340, 4342, 4343, 4344, 4345, 4345, 4346, 4346, 4347, 4348, 4350, 4350, 4350, 4350, 4354, 4354, 4359, 4359, 4360, 4360, 4361, 4361, 4361, 4361, 4363, 4364, 4364, 4365, 4365, 4366, 4366, 4368, 4368, 4372, 4374, 4375, 4376, 4377, 4378, 4379, 4380, 4384, 4385, 4385, 4385, 4385, 4385, 4387, 4387, 4388, 4390, 4391, 4396, 4397, 4397, 4398, 4399, 4399, 4402, 4404, 4405, 4405, 4405, 4406, 4406, 4407, 4408, 4408, 4412, 4413, 4413, 4414, 4414, 4416, 4417, 4418, 4419, 4421, 4421, 4422, 4424, 4424, 4424, 4426, 4427, 4427, 4427, 4428, 4429, 4430, 4432, 4433, 4433, 4436, 4437, 4438, 4438, 4438, 4438, 4438, 4438, 4439, 4439, 4443, 4444, 4445, 4447, 4447, 4448, 4450, 4451, 4453, 4454, 4454, 4454, 4455, 4456, 4456, 4456, 4456, 4457, 4458, 4459, 4461, 4462, 4462, 4464, 4465, 4466, 4468, 4468, 4469, 4471, 4471, 4472, 4472, 4473, 4473, 4475, 4478, 4478, 4478, 4480, 4482, 4485, 4485, 4486, 4486, 4486, 4488, 4488, 4490, 4490, 4491, 4492, 4492, 4492, 4494, 4496, 4496, 4496, 4497, 4500, 4501, 4502, 4502, 4503, 4503, 4504, 4504, 4504, 4505, 4505, 4507, 4507, 4509, 4511, 4511, 4511, 4511, 4512, 4514, 4516, 4517, 4519, 4520, 4521, 4522, 4525, 4527, 4527, 4528, 4530, 4531, 4532, 4532, 4534, 4534, 4535, 4538, 4539, 4541, 4541, 4541, 4543, 4543, 4545, 4545, 4546, 4546, 4546, 4546, 4547, 4548, 4549, 4549, 4550, 4552, 4552, 4553, 4554, 4555, 4555, 4560, 4562, 4563, 4565, 4566, 4566, 4567, 4569, 4574, 4575, 4575, 4575, 4576, 4579, 4580, 4582, 4583, 4585, 4585, 4586, 4589, 4589, 4590, 4591, 4591, 4592, 4593, 4593, 4593, 4595, 4595, 4596, 4596, 4596, 4596, 4597, 4598, 4598, 4599, 4599, 4600, 4602, 4603, 4603, 4603, 4604, 4604, 4605, 4608, 4611, 4612, 4614, 4614, 4618, 4618, 4619, 4620, 4623, 4623, 4623, 4624, 4625, 4625, 4625, 4626, 4626, 4628, 4628, 4630, 4631, 4633, 4633, 4635, 4637, 4638, 4640, 4640, 4640, 4642, 4642, 4643, 4643, 4644, 4646, 4646, 4646, 4647, 4648, 4648, 4649, 4649, 4650, 4651, 4653, 4654, 4654, 4655, 4656, 4657, 4657, 4657, 4658, 4658, 4659, 4659, 4660, 4662, 4662, 4663, 4665, 4665, 4665, 4666, 4666, 4667, 4668, 4668, 4670, 4671, 4671, 4672, 4674, 4675, 4677, 4678, 4678, 4679, 4681, 4681, 4683, 4684, 4686, 4686, 4686, 4689, 4690, 4691, 4692, 4695, 4696, 4696, 4696, 4697, 4699, 4699, 4700, 4700, 4700, 4701, 4702, 4702, 4702, 4702, 4702, 4703, 4703, 4706, 4707, 4709, 4709, 4711, 4711, 4713, 4714, 4716, 4716, 4717, 4718, 4718, 4719, 4719, 4720, 4720, 4720, 4720, 4721, 4721, 4722, 4723, 4723, 4727, 4729, 4735, 4735, 4736, 4737, 4739, 4741, 4742, 4742, 4743, 4744, 4744, 4746, 4746, 4746, 4747, 4747, 4748, 4749, 4750, 4752, 4753, 4754, 4755, 4756, 4758, 4758, 4760, 4760, 4762, 4762, 4765, 4768, 4768, 4769, 4769, 4770, 4770, 4772, 4773, 4776, 4777, 4778, 4778, 4778, 4779, 4783, 4786, 4786, 4787, 4787, 4788, 4789, 4790, 4792, 4792, 4793, 4794, 4796, 4796, 4797, 4797, 4798, 4798, 4798, 4799, 4799, 4800, 4800, 4802, 4803, 4803, 4804, 4805, 4812, 4813, 4813, 4814, 4816, 4817, 4817, 4818, 4819, 4820, 4820, 4820, 4822, 4823, 4825, 4825, 4827, 4827, 4828, 4828, 4829, 4829, 4829, 4830, 4831, 4831, 4832, 4832, 4834, 4835, 4836, 4840, 4841, 4842, 4842, 4844, 4844, 4850, 4852, 4853, 4854, 4855, 4856, 4859, 4859, 4859, 4860, 4861, 4861, 4862, 4862, 4862, 4863, 4865, 4866, 4866, 4867, 4867, 4869, 4869, 4872, 4873, 4873, 4873, 4874, 4874, 4875, 4876, 4876, 4876, 4880, 4880, 4880, 4881, 4882, 4882, 4883, 4884, 4885, 4886, 4887, 4887, 4888, 4889, 4891, 4891, 4891, 4891, 4894, 4895, 4896, 4896, 4896, 4897, 4898, 4899, 4900, 4901, 4901, 4901, 4903, 4904, 4904, 4906, 4909, 4910, 4910, 4910, 4911, 4912, 4913, 4916, 4917, 4918, 4918, 4919, 4920, 4920, 4920, 4921, 4924, 4926, 4926, 4927, 4929, 4931, 4932, 4932, 4933, 4933, 4935, 4936, 4937, 4938, 4938, 4941, 4941, 4943, 4944, 4945, 4945, 4947, 4947, 4947, 4948, 4948, 4951, 4951, 4954, 4954, 4955, 4957, 4957, 4958, 4959, 4959, 4961, 4962, 4963, 4966, 4966, 4968, 4969, 4970, 4970, 4970, 4970, 4971, 4971, 4971, 4972, 4977, 4977, 4978, 4978, 4979, 4980, 4980, 4981, 4981, 4981, 4987, 4988, 4988, 4991, 4991, 4993, 4993, 4994, 4995, 4995, 4997, 4998, 4999, 5001, 5001, 5002, 5003, 5003, 5005, 5006, 5006, 5007, 5007, 5007, 5007, 5010, 5010, 5012, 5013, 5014, 5015, 5016, 5017, 5017, 5017, 5019, 5020, 5020, 5021, 5021, 5023, 5024, 5024, 5025, 5026, 5028, 5029, 5033, 5033, 5035, 5035, 5036, 5038, 5039, 5040, 5042, 5042, 5043, 5044, 5044, 5045, 5045, 5045, 5048, 5051, 5052, 5053, 5053, 5053, 5056, 5057, 5059, 5061, 5063, 5065, 5065, 5065, 5065, 5065, 5066, 5066, 5067, 5068, 5069, 5069, 5069, 5070, 5070, 5071, 5071, 5073, 5074, 5074, 5075, 5076, 5077, 5077, 5078, 5080, 5080, 5081, 5081, 5084, 5084, 5085, 5086, 5089, 5090, 5090, 5092, 5092, 5092, 5094, 5094, 5095, 5096, 5100, 5101, 5101, 5105, 5108, 5108, 5108, 5108, 5109, 5110, 5111, 5112, 5113, 5115, 5116, 5116, 5117, 5121, 5121, 5121, 5122, 5122, 5123, 5123, 5125, 5125, 5130, 5132, 5133, 5133, 5134, 5134, 5135, 5140, 5141, 5144, 5147, 5148, 5153, 5154, 5154, 5156, 5157, 5157, 5160, 5161, 5162, 5162, 5162, 5165, 5166, 5166, 5166, 5166, 5168, 5169, 5172, 5173, 5173, 5173, 5174, 5175, 5177, 5178, 5180, 5182, 5182, 5182, 5184, 5185, 5185, 5186, 5187, 5187, 5190, 5192, 5194, 5194, 5196, 5196, 5198, 5198, 5198, 5198, 5199, 5200, 5200, 5201, 5201, 5202, 5203, 5206, 5207, 5207, 5208, 5208, 5211, 5212, 5212, 5213, 5215, 5215, 5217, 5218, 5218, 5218, 5220, 5221, 5221, 5222, 5222, 5224, 5224, 5226, 5227, 5229, 5229, 5231, 5231, 5231, 5231, 5232, 5232, 5233, 5233, 5237, 5238, 5239, 5239, 5240, 5241, 5241, 5242, 5242, 5244, 5246, 5246, 5247, 5247, 5248, 5248, 5249, 5249, 5250, 5252, 5252, 5254, 5255, 5255, 5255, 5255, 5257, 5260, 5261, 5262, 5264, 5265, 5266, 5267, 5268, 5268, 5268, 5269, 5269, 5270, 5272, 5272, 5273, 5274, 5275, 5279, 5280, 5280, 5284, 5285, 5285, 5286, 5287, 5288, 5289, 5289, 5290, 5290, 5291, 5292, 5294, 5294, 5298, 5298, 5299, 5299, 5300, 5300, 5301, 5304, 5305, 5305, 5306, 5306, 5307, 5307, 5307, 5308, 5308, 5308, 5309, 5312, 5312, 5313, 5313, 5316, 5318, 5319, 5320, 5320, 5323, 5324, 5324, 5324, 5325, 5325, 5327, 5328, 5329, 5330, 5330, 5331, 5332, 5332, 5334, 5334, 5339, 5339, 5339, 5340, 5340, 5343, 5344, 5344, 5345, 5346, 5347, 5347, 5348, 5348, 5349, 5350, 5350, 5351, 5351, 5354, 5354, 5355, 5356, 5356, 5356, 5357, 5358, 5359, 5360, 5360, 5361, 5363, 5364, 5365, 5367, 5367, 5373, 5373, 5373, 5373, 5377, 5381, 5383, 5384, 5384, 5385, 5385, 5387, 5387, 5387, 5388, 5389, 5390, 5392, 5395, 5395, 5397, 5398, 5399, 5401, 5401, 5402, 5405, 5405, 5406, 5407, 5408, 5409, 5410, 5414, 5414, 5414, 5418, 5418, 5419, 5420, 5422, 5422, 5423, 5424, 5425, 5425, 5429, 5432, 5432, 5433, 5433, 5434, 5440, 5440, 5441, 5441, 5444, 5444, 5444, 5444, 5444, 5446, 5446, 5447, 5450, 5452, 5453, 5453, 5454, 5455, 5457, 5460, 5460, 5461, 5462, 5462, 5462, 5464, 5465, 5465, 5468, 5468, 5471, 5471, 5471, 5471, 5471, 5472, 5475, 5475, 5477, 5478, 5479, 5479, 5479, 5479, 5480, 5481, 5482, 5484, 5485, 5486, 5488, 5488, 5488, 5489, 5490, 5490, 5491, 5491, 5492, 5492, 5493, 5493, 5495, 5497, 5499, 5499, 5501, 5503, 5503, 5503, 5504, 5505, 5506, 5507, 5509, 5511, 5512, 5512, 5513, 5514, 5515, 5516, 5520, 5521, 5523, 5524, 5525, 5525, 5526, 5526, 5526, 5527, 5527, 5527, 5528, 5529, 5530, 5531, 5531, 5533, 5533, 5533, 5534, 5535, 5536, 5537, 5537, 5538, 5538, 5538, 5540, 5540, 5540, 5541, 5543, 5544, 5545, 5546, 5547, 5548, 5548, 5549, 5549, 5550, 5550, 5551, 5552, 5554, 5554, 5554, 5554, 5554, 5555, 5555, 5556, 5557, 5557, 5557, 5558, 5559, 5560, 5560, 5561, 5564, 5565, 5565, 5566, 5567, 5567, 5569, 5569, 5570, 5570, 5571, 5573, 5573, 5574, 5574, 5574, 5576, 5576, 5580, 5581, 5581, 5583, 5584, 5584, 5584, 5584, 5586, 5587, 5589, 5589, 5589, 5591, 5594, 5594, 5594, 5596, 5598, 5598, 5599, 5599, 5601, 5604, 5605, 5605, 5605, 5607, 5609, 5610, 5610, 5611, 5612, 5614, 5615, 5615, 5615, 5616, 5617, 5617, 5617, 5618, 5618, 5618, 5619, 5619, 5620, 5622, 5623, 5623, 5625, 5625, 5626, 5626, 5627, 5629, 5632, 5632, 5632, 5634, 5635, 5636, 5640, 5640, 5643, 5643, 5643, 5643, 5643, 5644, 5644, 5645, 5645, 5645, 5646, 5646, 5646, 5646, 5647, 5649, 5650, 5650, 5650, 5650, 5653, 5653, 5654, 5654, 5655, 5657, 5659, 5659, 5660, 5661, 5665, 5666, 5667, 5668, 5670, 5671, 5672, 5673, 5675, 5676, 5683, 5684, 5684, 5684, 5685, 5687, 5689, 5690, 5692, 5692, 5693, 5695, 5695, 5697, 5697, 5698, 5700, 5700, 5701, 5701, 5701, 5702, 5702, 5702, 5702, 5702, 5703, 5703, 5704, 5704, 5705, 5707, 5708, 5708, 5711, 5712, 5712, 5715, 5715, 5715, 5716, 5716, 5718, 5719, 5722, 5723, 5724, 5724, 5725, 5725, 5726, 5726, 5726, 5727, 5728, 5728, 5731, 5732, 5735, 5736, 5737, 5737, 5737, 5739, 5739, 5740, 5740, 5742, 5743, 5743, 5745, 5745, 5746, 5746, 5748, 5750, 5753, 5753, 5753, 5756, 5759, 5759, 5760, 5762, 5766, 5769, 5769, 5770, 5771, 5772, 5773, 5773, 5774, 5778, 5778, 5779, 5780, 5781, 5782, 5782, 5783, 5784, 5785, 5786, 5787, 5787, 5787, 5788, 5788, 5789, 5789, 5789, 5790, 5791, 5793, 5793, 5794, 5795, 5795, 5795, 5796, 5796, 5796, 5798, 5798, 5798, 5799, 5801, 5804, 5804, 5804, 5809, 5809, 5810, 5812, 5812, 5812, 5817, 5817, 5818, 5818, 5818, 5818, 5819, 5819, 5819, 5825, 5826, 5826, 5828, 5828, 5829, 5829, 5830, 5833, 5833, 5833, 5834, 5834, 5836, 5837, 5839, 5839, 5840, 5844, 5845, 5845, 5847, 5847, 5847, 5848, 5848, 5849, 5852, 5852, 5852, 5853, 5853, 5854, 5854, 5855, 5855, 5855, 5855, 5857, 5858, 5858, 5859, 5863, 5864, 5864, 5865, 5866, 5866, 5866, 5867, 5867, 5868, 5868, 5874, 5874, 5874, 5875, 5877, 5877, 5877, 5878, 5880, 5880, 5880, 5881, 5884, 5886, 5888, 5888, 5890, 5891, 5893, 5893, 5893, 5896, 5897, 5897, 5900, 5900, 5900, 5902, 5904, 5907, 5907, 5909, 5909, 5909, 5909, 5910, 5910, 5912, 5915, 5915, 5916, 5916, 5916, 5917, 5917, 5920, 5921, 5921, 5922, 5923, 5924, 5925, 5926, 5927, 5927, 5927, 5928, 5929, 5931, 5931, 5932, 5933, 5933, 5935, 5935, 5937, 5940, 5941, 5942, 5943, 5945, 5948, 5948, 5949, 5949, 5949, 5949, 5950, 5953, 5953, 5953, 5954, 5955, 5958, 5959, 5959, 5960, 5961, 5962, 5963, 5965, 5965, 5965, 5966, 5967, 5968, 5970, 5971, 5971, 5971, 5973, 5974, 5975, 5976, 5977, 5978, 5979, 5981, 5982, 5985, 5986, 5986, 5986, 5987, 5990, 5992, 5994, 5994, 5994, 5996, 5998, 6000, 6001, 6001, 6002, 6004, 6004, 6004, 6006, 6008, 6009, 6009, 6009, 6009, 6011, 6012, 6014, 6016, 6017, 6018, 6020, 6020, 6021, 6021, 6023, 6023, 6023, 6025, 6026, 6029, 6029, 6030, 6031, 6032, 6033, 6034, 6034, 6035, 6035, 6037, 6038, 6038, 6040, 6043, 6045, 6046, 6048, 6052, 6053, 6054, 6055, 6055, 6056, 6057, 6059, 6059, 6062, 6062, 6062, 6063, 6063, 6064, 6065, 6065, 6065, 6065, 6066, 6066, 6067, 6067, 6070, 6072, 6073, 6073, 6075, 6077, 6079, 6081, 6081, 6084, 6086, 6086, 6086, 6088, 6089, 6089, 6090, 6091, 6092, 6093, 6094, 6094, 6096, 6097, 6098, 6099, 6099, 6099, 6100, 6101, 6102, 6102, 6103, 6104, 6105, 6106, 6106, 6106, 6107, 6107, 6108, 6109, 6109, 6110, 6110, 6112, 6114, 6115, 6115, 6115, 6118, 6118, 6118, 6119, 6121, 6122, 6122, 6123, 6124, 6125, 6126, 6126, 6127, 6127, 6131, 6132, 6137, 6137, 6137, 6138, 6138, 6140, 6140, 6140, 6140, 6142, 6143, 6143, 6143, 6144, 6144, 6145, 6145, 6148, 6152, 6152, 6153, 6154, 6155, 6155, 6157, 6158, 6161, 6162, 6165, 6165, 6166, 6168, 6169, 6171, 6171, 6173, 6175, 6175, 6175, 6175, 6175, 6176, 6179, 6179, 6179, 6179, 6180, 6180, 6186, 6187, 6188, 6190, 6192, 6193, 6193, 6193, 6193, 6194, 6195, 6195, 6195, 6198, 6199, 6200, 6200, 6202, 6203, 6204, 6205, 6205, 6206, 6207, 6209, 6210, 6214, 6216, 6217, 6218, 6218, 6220, 6222, 6224, 6224, 6226, 6228, 6228, 6228, 6229, 6229, 6229, 6230, 6230, 6231, 6231, 6231, 6231, 6231, 6232, 6232, 6233, 6234, 6235, 6237, 6238, 6239, 6239, 6240, 6241, 6244, 6244, 6247, 6248, 6248, 6250, 6251, 6251, 6251, 6251, 6252, 6255, 6255, 6256, 6257, 6258, 6259, 6262, 6263, 6265, 6265, 6266, 6268, 6269, 6269, 6269, 6270, 6271, 6272, 6272, 6273, 6274, 6274, 6274, 6275, 6281, 6282, 6282, 6284, 6284, 6286, 6287, 6288, 6289, 6291, 6292, 6292, 6293, 6294, 6295, 6296, 6297, 6297, 6297, 6297, 6297, 6297, 6298, 6299, 6300, 6300, 6301, 6302, 6302, 6303, 6305, 6308, 6308, 6309, 6309, 6311, 6313, 6313, 6313, 6316, 6318, 6318, 6318, 6320, 6320, 6322, 6323, 6323, 6325, 6328, 6328, 6328, 6329, 6329, 6329, 6330, 6331, 6335, 6336, 6342, 6345, 6346, 6349, 6349, 6350, 6350, 6351, 6353, 6353, 6353, 6354, 6355, 6359, 6360, 6363, 6363, 6366, 6369, 6369, 6370, 6370, 6371, 6373, 6374, 6375, 6375, 6375, 6376, 6376, 6377, 6377, 6378, 6381, 6381, 6382, 6382, 6383, 6383, 6384, 6385, 6385, 6386, 6386, 6386, 6388, 6388, 6392, 6394, 6396, 6396, 6399, 6405, 6406, 6406, 6406, 6409, 6410, 6411, 6413, 6413, 6415, 6415, 6416, 6416, 6417, 6417, 6417, 6420, 6421, 6423, 6423, 6424, 6424, 6425, 6427, 6427, 6427, 6428, 6429, 6431, 6431, 6431, 6432, 6433, 6433, 6434, 6434, 6434, 6435, 6436, 6439, 6440, 6441, 6442, 6444, 6444, 6449, 6450, 6451, 6451, 6453, 6453, 6455, 6455, 6455, 6455, 6456, 6457, 6457, 6460, 6462, 6463, 6465, 6466, 6467, 6468, 6468, 6469, 6470, 6470, 6471, 6475, 6476, 6477, 6477, 6478, 6478, 6478, 6478, 6478, 6479, 6480, 6482, 6482, 6482, 6483, 6483, 6484, 6488, 6489, 6490, 6492, 6492, 6494, 6495, 6498, 6498, 6499, 6499, 6499, 6501, 6502, 6502, 6503, 6504, 6504, 6504, 6504, 6506, 6507, 6508, 6509, 6510, 6511, 6511, 6511, 6512, 6513, 6514, 6515, 6515, 6515, 6515, 6515, 6515, 6516, 6517, 6518, 6518, 6526, 6526, 6528, 6529, 6530, 6530, 6530, 6531, 6532, 6533, 6537, 6538, 6538, 6541, 6542, 6543, 6543, 6543, 6546, 6546, 6546, 6546, 6549, 6555, 6556, 6557, 6558, 6561, 6562, 6562, 6564, 6565, 6565, 6565, 6568, 6569, 6569, 6570, 6570, 6571, 6571, 6572, 6573, 6573, 6573, 6574, 6575, 6576, 6577, 6577, 6578, 6581, 6582, 6582, 6583, 6584, 6585, 6585, 6585, 6587, 6587, 6588, 6589, 6589, 6592, 6592, 6592, 6593, 6593, 6595, 6595, 6596, 6596, 6597, 6598, 6599, 6600, 6601, 6602, 6603, 6605, 6605, 6605, 6606, 6606, 6607, 6609, 6610, 6612, 6613, 6615, 6616, 6617, 6619, 6620, 6620, 6620, 6623, 6624, 6624, 6625, 6625, 6626, 6627, 6628, 6630, 6630, 6630, 6632, 6632, 6633, 6634, 6634, 6634, 6636, 6638, 6639, 6639, 6639, 6640, 6641, 6641, 6642, 6644, 6644, 6644, 6644, 6646, 6646, 6650, 6652, 6653, 6653, 6654, 6654, 6654, 6655, 6655, 6655, 6657, 6658, 6659, 6662, 6664, 6668, 6669, 6669, 6671, 6671, 6675, 6675, 6676, 6678, 6678, 6681, 6681, 6682, 6683, 6683, 6684, 6687, 6687, 6690, 6691, 6691, 6694, 6697, 6698, 6699, 6699, 6703, 6705, 6705, 6706, 6708, 6708, 6711, 6712, 6713, 6713, 6713, 6714, 6716, 6717, 6717, 6717, 6718, 6721, 6724, 6724, 6724, 6726, 6727, 6728, 6729, 6730, 6731, 6734, 6734, 6736, 6736, 6737, 6738, 6740, 6741, 6744, 6744, 6745, 6746, 6746, 6748, 6748, 6750, 6754, 6754, 6755, 6758, 6758, 6759, 6760, 6761, 6763, 6764, 6764, 6764, 6765, 6766, 6770, 6772, 6773, 6773, 6773, 6773, 6775, 6778, 6779, 6780, 6783, 6784, 6785, 6787, 6788, 6789, 6790, 6790, 6791, 6792, 6793, 6794, 6796, 6797, 6798, 6798, 6799, 6800, 6800, 6800, 6801, 6801, 6802, 6803, 6804, 6807, 6808, 6810, 6810, 6811, 6811, 6812, 6814, 6814, 6815, 6815, 6815, 6816, 6817, 6817, 6817, 6820, 6820, 6820, 6824, 6824, 6824, 6824, 6825, 6826, 6828, 6829, 6832, 6832, 6833, 6834, 6837, 6837, 6838, 6838, 6840, 6844, 6844, 6844, 6844, 6845, 6846, 6851, 6852, 6853, 6853, 6856, 6857, 6858, 6858, 6861, 6861, 6862, 6862, 6864, 6865, 6866, 6871, 6872, 6873, 6873, 6873, 6874, 6875, 6876, 6876, 6877, 6878, 6883, 6884, 6886, 6887, 6888, 6889, 6891, 6893, 6893, 6897, 6898, 6901, 6901, 6902, 6902, 6903, 6904, 6905, 6906, 6907, 6907, 6907, 6907, 6910, 6910, 6911, 6911, 6912, 6912, 6912, 6914, 6914, 6916, 6916, 6918, 6919, 6920, 6920, 6921, 6922, 6922, 6923, 6925, 6927, 6933, 6933, 6934, 6935, 6935, 6935, 6936, 6937, 6937, 6940, 6941, 6941, 6942, 6943, 6944, 6944, 6944, 6944, 6945, 6949, 6950, 6952, 6953, 6953, 6953, 6954, 6954, 6954, 6954, 6954, 6955, 6957, 6958, 6961, 6961, 6962, 6964, 6965, 6965, 6965, 6966, 6966, 6966, 6967, 6969, 6969, 6969, 6971, 6972, 6973, 6973, 6973, 6974, 6976, 6978, 6979, 6979, 6980, 6981, 6982, 6982, 6983, 6986, 6989, 6990, 6992, 6993, 6994, 6994, 6996, 6999, 6999, 7000, 7001, 7002, 7002, 7003, 7004, 7004, 7005, 7005, 7005, 7006, 7009, 7009, 7009, 7010, 7011, 7011, 7012, 7013, 7013, 7014, 7016, 7016, 7019, 7019, 7020, 7022, 7023, 7024, 7025, 7028, 7029, 7029, 7032, 7032, 7032, 7036, 7037, 7040, 7042, 7043, 7044, 7047, 7048, 7049, 7049, 7050, 7050, 7051, 7055, 7058, 7059, 7059, 7061, 7061, 7065, 7065, 7066, 7067, 7068, 7068, 7068, 7068, 7069, 7069, 7069, 7072, 7072, 7072, 7073, 7073, 7075, 7075, 7076, 7077, 7078, 7078, 7080, 7080, 7082, 7082, 7083, 7084, 7086, 7087, 7089, 7092, 7093, 7095, 7096, 7096, 7096, 7098, 7098, 7098, 7099, 7100, 7101, 7102, 7102, 7103, 7104, 7104, 7105, 7105, 7106, 7106, 7107, 7107, 7107, 7109, 7110, 7110, 7111, 7111, 7111, 7112, 7113, 7114, 7120, 7121, 7121, 7122, 7123, 7123, 7124, 7124, 7125, 7129, 7130, 7132, 7133, 7134, 7134, 7138, 7139, 7142, 7144, 7144, 7144, 7146, 7147, 7147, 7149, 7150, 7151, 7151, 7152, 7153, 7154, 7161, 7162, 7163, 7165, 7165, 7166, 7168, 7168, 7169, 7169, 7171, 7171, 7171, 7173, 7173, 7175, 7177, 7178, 7179, 7179, 7180, 7180, 7181, 7181, 7181, 7182, 7185, 7185, 7188, 7188, 7189, 7189, 7189, 7189, 7190, 7190, 7192, 7196, 7196, 7198, 7198, 7200, 7200, 7201, 7203, 7204, 7204, 7205, 7206, 7206, 7207, 7207, 7208, 7208, 7208, 7210, 7210, 7211, 7211, 7212, 7212, 7213, 7213, 7215, 7216, 7218, 7220, 7220, 7220, 7220, 7220, 7222, 7223, 7225, 7226, 7226, 7228, 7231, 7231, 7232, 7232, 7232, 7233, 7236, 7237, 7240, 7240, 7241, 7243, 7243, 7245, 7246, 7246, 7247, 7247, 7248, 7248, 7249, 7250, 7250, 7250, 7252, 7253, 7254, 7256, 7257, 7259, 7260, 7261, 7261, 7261, 7262, 7262, 7263, 7264, 7264, 7265, 7265, 7269, 7272, 7272, 7274, 7275, 7276, 7276, 7277, 7277, 7278, 7283, 7283, 7284, 7284, 7286, 7287, 7288, 7288, 7289, 7290, 7292, 7292, 7292, 7295, 7296, 7296, 7296, 7298, 7299, 7300, 7300, 7302, 7304, 7306, 7306, 7307, 7307, 7309, 7309, 7313, 7313, 7315, 7316, 7316, 7319, 7320, 7320, 7321, 7322, 7322, 7324, 7324, 7325, 7326, 7328, 7328, 7328, 7328, 7331, 7333, 7333, 7335, 7338, 7338, 7339, 7339, 7339, 7339, 7340, 7341, 7343, 7345, 7346, 7346, 7347, 7349, 7349, 7351, 7352, 7353, 7355, 7356, 7358, 7359, 7359, 7360, 7361, 7361, 7362, 7362, 7363, 7364, 7365, 7366, 7368, 7368, 7370, 7370, 7370, 7370, 7372, 7373, 7373, 7374, 7376, 7377, 7377, 7377, 7378, 7380, 7380, 7382, 7383, 7385, 7386, 7387, 7388, 7389, 7390, 7392, 7393, 7393, 7394, 7394, 7396, 7396, 7396, 7397, 7398, 7398, 7398, 7400, 7400, 7402, 7402, 7403, 7403, 7404, 7404, 7405, 7407, 7408, 7410, 7411, 7411, 7413, 7414, 7415, 7416, 7416, 7419, 7420, 7421, 7421, 7422, 7423, 7424, 7424, 7426, 7427, 7427, 7428, 7428, 7429, 7430, 7431, 7432, 7432, 7432, 7432, 7433, 7435, 7437, 7438, 7442, 7443, 7443, 7444, 7446, 7446, 7446, 7447, 7450, 7450, 7450, 7450, 7450, 7451, 7452, 7454, 7456, 7456, 7456, 7459, 7461, 7461, 7462, 7462, 7463, 7464, 7465, 7467, 7467, 7468, 7468, 7469, 7469, 7469, 7469, 7469, 7470, 7472, 7472, 7474, 7475, 7476, 7477, 7478, 7479, 7479, 7480, 7480, 7482, 7483, 7483, 7484, 7485, 7485, 7486, 7487, 7488, 7489, 7489, 7492, 7494, 7496, 7497, 7497, 7499, 7499, 7499, 7499, 7500, 7501, 7502, 7503, 7504, 7504, 7505, 7507, 7507, 7508, 7509, 7509, 7509, 7509, 7510, 7511, 7511, 7513, 7513, 7517, 7517, 7521, 7521, 7521, 7523, 7524, 7526, 7526, 7526, 7526, 7527, 7527, 7528, 7528, 7529, 7532, 7534, 7534, 7535, 7536, 7536, 7536, 7537, 7537, 7537, 7538, 7538, 7538, 7539, 7540, 7540, 7542, 7546, 7546, 7548, 7550, 7550, 7552, 7552, 7553, 7556, 7557, 7557, 7558, 7561, 7562, 7563, 7564, 7567, 7567, 7567, 7567, 7569, 7571, 7571, 7572, 7574, 7575, 7575, 7577, 7578, 7578, 7580, 7580, 7580, 7580, 7581, 7583, 7583, 7584, 7585, 7585, 7586, 7586, 7588, 7589, 7589, 7589, 7589, 7590, 7591, 7591, 7592, 7592, 7594, 7594, 7596, 7597, 7597, 7598, 7598, 7599, 7599, 7599, 7600, 7600, 7600, 7601, 7602, 7603, 7603, 7603, 7604, 7606, 7608, 7610, 7610, 7611, 7611, 7613, 7615, 7616, 7616, 7617, 7618, 7618, 7618, 7619, 7619, 7620, 7621, 7621, 7622, 7623, 7626, 7627, 7627, 7629, 7631, 7631, 7633, 7634, 7636, 7637, 7637, 7639, 7639, 7642, 7642, 7642, 7642, 7643, 7643, 7643, 7643, 7645, 7646, 7646, 7649, 7649, 7649, 7649, 7649, 7650, 7650, 7650, 7651, 7652, 7654, 7657, 7659, 7659, 7659, 7659, 7660, 7662, 7662, 7664, 7664, 7665, 7667, 7670, 7671, 7671, 7671, 7673, 7673, 7674, 7674, 7674, 7675, 7675, 7676, 7678, 7679, 7679, 7680, 7682, 7683, 7684, 7687, 7688, 7689, 7690, 7690, 7690, 7691, 7691, 7693, 7693, 7693, 7694, 7695, 7696, 7698, 7699, 7699, 7701, 7702, 7703, 7703, 7704, 7706, 7709, 7713, 7714, 7714, 7717, 7717, 7722, 7722, 7724, 7724, 7725, 7727, 7729, 7729, 7730, 7732, 7733, 7733, 7733, 7736, 7737, 7737, 7738, 7738, 7739, 7743, 7746, 7747, 7747, 7747, 7748, 7750, 7750, 7752, 7752, 7753, 7753, 7754, 7755, 7755, 7756, 7759, 7760, 7761, 7761, 7761, 7762, 7763, 7763, 7763, 7764, 7764, 7765, 7765, 7765, 7766, 7767, 7768, 7768, 7768, 7770, 7771, 7772, 7772, 7773, 7774, 7775, 7775, 7776, 7776, 7777, 7777, 7779, 7779, 7782, 7782, 7783, 7783, 7784, 7784, 7784, 7785, 7787, 7788, 7788, 7788, 7789, 7789, 7790, 7792, 7793, 7794, 7794, 7794, 7795, 7796, 7797, 7797, 7798, 7799, 7800, 7800, 7801, 7801, 7801, 7802, 7803, 7803, 7804, 7806, 7810, 7811, 7812, 7812, 7814, 7814, 7814, 7815, 7815, 7817, 7820, 7820, 7823, 7823, 7824, 7825, 7825, 7826, 7826, 7827, 7827, 7827, 7828, 7829, 7830, 7832, 7832, 7833, 7833, 7833, 7833, 7834, 7834, 7834, 7835, 7836, 7837, 7839, 7844, 7844, 7847, 7848, 7848, 7848, 7848, 7849, 7849, 7850, 7854, 7854, 7856, 7856, 7857, 7857, 7857, 7858, 7858, 7859, 7863, 7864, 7864, 7865, 7866, 7867, 7868, 7869, 7872, 7872, 7872, 7872, 7873, 7873, 7875, 7875, 7875, 7875, 7875, 7876, 7876, 7877, 7879, 7880, 7881, 7881, 7883, 7885, 7887, 7888, 7889, 7890, 7890, 7890, 7891, 7891, 7894, 7894, 7894, 7895, 7896, 7897, 7897, 7898, 7898, 7899, 7900, 7901, 7902, 7903, 7903, 7905, 7907, 7909, 7909, 7911, 7912, 7913, 7914, 7915, 7917, 7919, 7920, 7921, 7923, 7923, 7923, 7924, 7926, 7926, 7926, 7928, 7928, 7928, 7928, 7929, 7929, 7932, 7932, 7932, 7932, 7933, 7934, 7935, 7940, 7945, 7945, 7945, 7949, 7952, 7954, 7954, 7954, 7957, 7957, 7958, 7958, 7960, 7960, 7962, 7962, 7963, 7964, 7964, 7965, 7965, 7967, 7969, 7970, 7971, 7971, 7971, 7971, 7973, 7975, 7975, 7975, 7976, 7977, 7977, 7979, 7979, 7979, 7980, 7981, 7983, 7984, 7986, 7986, 7988, 7988, 7988, 7992, 7992, 7993, 7995, 7995, 7996, 7997, 7997, 7997, 7997, 7997, 7998, 7998, 7999, 7999, 8000, 8000, 8002, 8002, 8003, 8004, 8004, 8005, 8006, 8007, 8007, 8009, 8010, 8012, 8012, 8012, 8014, 8015, 8017, 8022, 8022, 8025, 8028, 8029, 8029, 8030, 8030, 8032, 8032, 8033, 8035, 8036, 8038, 8040, 8041, 8044, 8044, 8045, 8046, 8047, 8047, 8049, 8049, 8049, 8049, 8050, 8050, 8054, 8055, 8055, 8056, 8057, 8059, 8059, 8060, 8060, 8061, 8062, 8063, 8063, 8065, 8066, 8067, 8067, 8070, 8070, 8071, 8071, 8071, 8075, 8077, 8081, 8084, 8086, 8087, 8087, 8087, 8090, 8090, 8092, 8092, 8094, 8097, 8098, 8098, 8099, 8099, 8101, 8102, 8103, 8106, 8107, 8108, 8112, 8112, 8114, 8114, 8116, 8117, 8119, 8120, 8121, 8122, 8123, 8123, 8123, 8125, 8125, 8126, 8126, 8126, 8127, 8127, 8128, 8130, 8131, 8132, 8133, 8135, 8135, 8135, 8136, 8137, 8138, 8138, 8139, 8140, 8141, 8141, 8141, 8141, 8142, 8143, 8144, 8145, 8146, 8147, 8147, 8149, 8149, 8149, 8151, 8153, 8156, 8156, 8158, 8158, 8158, 8159, 8161, 8161, 8165, 8167, 8168, 8169, 8171, 8171, 8172, 8173, 8173, 8176, 8177, 8177, 8181, 8182, 8182, 8183, 8184, 8186, 8187, 8188, 8190, 8191, 8191, 8192, 8196, 8197, 8198, 8198, 8198, 8199, 8201, 8202, 8203, 8204, 8206, 8206, 8207, 8209, 8209, 8210, 8210, 8212, 8213, 8214, 8215, 8215, 8217, 8218, 8219, 8219, 8220, 8220, 8223, 8223, 8225, 8225, 8225, 8226, 8227, 8227, 8228, 8228, 8228, 8229, 8229, 8229, 8229, 8230, 8230, 8230, 8231, 8232, 8234, 8235, 8235, 8237, 8239, 8242, 8242, 8244, 8245, 8246, 8246, 8246, 8249, 8249, 8250, 8255, 8255, 8255, 8258, 8259, 8259, 8259, 8260, 8261, 8262, 8263, 8263, 8263, 8263, 8264, 8265, 8265, 8265, 8265, 8269, 8270, 8272, 8276, 8277, 8277, 8277, 8280, 8281, 8282, 8282, 8285, 8288, 8289, 8289, 8289, 8291, 8291, 8292, 8293, 8294, 8295, 8297, 8297, 8298, 8299, 8300, 8300, 8302, 8302, 8303, 8303, 8303, 8304, 8306, 8308, 8312, 8313, 8314, 8315, 8318, 8320, 8321, 8321, 8323, 8324, 8325, 8325, 8326, 8326, 8327, 8329, 8330, 8330, 8331, 8331, 8331, 8334, 8336, 8338, 8340, 8340, 8342, 8344, 8345, 8345, 8347, 8347, 8347, 8348, 8349, 8350, 8351, 8352, 8353, 8353, 8354, 8355, 8359, 8359, 8361, 8362, 8362, 8366, 8366, 8367, 8368, 8368, 8368, 8368, 8369, 8371, 8372, 8373, 8378, 8379, 8379, 8379, 8380, 8383, 8384, 8386, 8386, 8388, 8390, 8391, 8394, 8395, 8395, 8396, 8397, 8398, 8399, 8399, 8399, 8399, 8400, 8401, 8402, 8403, 8403, 8404, 8408, 8408, 8408, 8409, 8412, 8413, 8414, 8414, 8414, 8414, 8414, 8417, 8417, 8418, 8418, 8419, 8422, 8422, 8424, 8425, 8425, 8425, 8426, 8426, 8427, 8429, 8429, 8429, 8433, 8433, 8434, 8434, 8435, 8436, 8437, 8438, 8438, 8439, 8439, 8440, 8441, 8442, 8443, 8444, 8445, 8445, 8445, 8447, 8449, 8450, 8450, 8450, 8451, 8452, 8453, 8454, 8454, 8455, 8455, 8455, 8457, 8458, 8459, 8459, 8459, 8460, 8461, 8462, 8463, 8465, 8467, 8467, 8467, 8468, 8470, 8470, 8471, 8471, 8474, 8474, 8475, 8478, 8478, 8479, 8484, 8485, 8485, 8485, 8488, 8488, 8489, 8491, 8491, 8491, 8491, 8492, 8493, 8493, 8499, 8503, 8507, 8508, 8509, 8509, 8509, 8509, 8510, 8512, 8514, 8515, 8515, 8516, 8517, 8518, 8519, 8519, 8520, 8522, 8522, 8522, 8524, 8525, 8525, 8528, 8529, 8531, 8534, 8536, 8536, 8537, 8538, 8538, 8538, 8538, 8541, 8542, 8542, 8542, 8542, 8543, 8543, 8546, 8547, 8550, 8551, 8551, 8551, 8551, 8551, 8552, 8552, 8555, 8557, 8557, 8558, 8558, 8559, 8560, 8561, 8564, 8564, 8565, 8566, 8567, 8576, 8577, 8578, 8578, 8581, 8582, 8582, 8584, 8584, 8585, 8585, 8588, 8590, 8592, 8592, 8594, 8596, 8598, 8599, 8599, 8600, 8601, 8601, 8603, 8603, 8604, 8605, 8605, 8606, 8607, 8608, 8610, 8613, 8613, 8615, 8620, 8620, 8621, 8622, 8622, 8623, 8623, 8624, 8625, 8625, 8626, 8627, 8628, 8628, 8628, 8629, 8629, 8631, 8631, 8632, 8632, 8632, 8634, 8635, 8635, 8635, 8637, 8638, 8638, 8639, 8644, 8648, 8649, 8649, 8652, 8652, 8653, 8654, 8655, 8655, 8656, 8657, 8657, 8657, 8657, 8661, 8664, 8664, 8664, 8664, 8666, 8669, 8669, 8669, 8671, 8671, 8671, 8671, 8672, 8674, 8676, 8676, 8678, 8678, 8679, 8681, 8682, 8682, 8685, 8685, 8685, 8686, 8687, 8690, 8692, 8692, 8693, 8694, 8695, 8695, 8696, 8696, 8698, 8699, 8699, 8700, 8700, 8700, 8700, 8701, 8702, 8703, 8704, 8705, 8705, 8707, 8710, 8710, 8711, 8712, 8713, 8713, 8715, 8715, 8716, 8717, 8718, 8718, 8719, 8720, 8720, 8720, 8722, 8723, 8724, 8725, 8731, 8735, 8735, 8736, 8736, 8736, 8737, 8737, 8738, 8739, 8741, 8744, 8744, 8745, 8746, 8747, 8748, 8749, 8750, 8753, 8754, 8755, 8756, 8756, 8757, 8757, 8757, 8758, 8759, 8759, 8762, 8763, 8765, 8765, 8765, 8766, 8767, 8771, 8772, 8772, 8775, 8775, 8778, 8778, 8785, 8785, 8785, 8785, 8786, 8788, 8788, 8789, 8791, 8792, 8792, 8792, 8792, 8793, 8794, 8795, 8795, 8795, 8797, 8798, 8798, 8798, 8799, 8799, 8800, 8801, 8801, 8801, 8801, 8801, 8801, 8802, 8802, 8802, 8803, 8804, 8806, 8807, 8808, 8812, 8815, 8815, 8815, 8817, 8819, 8819, 8819, 8819, 8821, 8824, 8825, 8826, 8828, 8830, 8832, 8832, 8834, 8834, 8835, 8838, 8839, 8839, 8841, 8841, 8841, 8841, 8842, 8843, 8843, 8843, 8843, 8844, 8846, 8847, 8847, 8849, 8850, 8852, 8855, 8855, 8855, 8855, 8858, 8858, 8858, 8858, 8858, 8858, 8861, 8861, 8862, 8862, 8863, 8863, 8864, 8864, 8865, 8867, 8868, 8868, 8869, 8870, 8874, 8877, 8877, 8878, 8878, 8878, 8879, 8879, 8880, 8880, 8880, 8881, 8883, 8883, 8884, 8886, 8887, 8887, 8888, 8888, 8890, 8891, 8892, 8892, 8892, 8894, 8895, 8895, 8895, 8896, 8897, 8898, 8899, 8906, 8907, 8908, 8908, 8911, 8914, 8915, 8915, 8916, 8916, 8918, 8918, 8920, 8922, 8923, 8923, 8924, 8924, 8925, 8925, 8927, 8929, 8930, 8930, 8931, 8932, 8932, 8933, 8934, 8934, 8935, 8936, 8939, 8941, 8941, 8943, 8944, 8944, 8945, 8945, 8946, 8946, 8947, 8947, 8947, 8948, 8949, 8950, 8950, 8951, 8952, 8952, 8954, 8956, 8957, 8957, 8959, 8959, 8961, 8962, 8962, 8963, 8966, 8967, 8967, 8970, 8970, 8971, 8973, 8974, 8974, 8975, 8975, 8976, 8977, 8977, 8977, 8978, 8978, 8980, 8980, 8981, 8981, 8983, 8983, 8983, 8984, 8985, 8985, 8985, 8988, 8989, 8990, 8993, 8993, 8996, 8998, 8999, 9000, 9001, 9002, 9004, 9005, 9007, 9008, 9008, 9008, 9009, 9009, 9010, 9011, 9011, 9011, 9014, 9014, 9014, 9015, 9016, 9016, 9018, 9020, 9022, 9024, 9024, 9025, 9026, 9027, 9028, 9029, 9029, 9030, 9032, 9036, 9036, 9036, 9038, 9039, 9041, 9042, 9043, 9045, 9046, 9046, 9046, 9046, 9046, 9048, 9049, 9050, 9051, 9052, 9053, 9053, 9054, 9055, 9056, 9058, 9058, 9059, 9059, 9060, 9061, 9062, 9065, 9066, 9066, 9071, 9072, 9074, 9074, 9075, 9076, 9076, 9076, 9077, 9077, 9078, 9082, 9082, 9085, 9086, 9086, 9087, 9087, 9087, 9091, 9092, 9092, 9093, 9095, 9096, 9097, 9097, 9099, 9100, 9102, 9103, 9104, 9106, 9107, 9108, 9109, 9110, 9110, 9114, 9115, 9122, 9123, 9124, 9124, 9124, 9124, 9125, 9126, 9126, 9128, 9130, 9136, 9139, 9140, 9142, 9142, 9142, 9143, 9143, 9144, 9145, 9146, 9146, 9147, 9147, 9147, 9150, 9153, 9153, 9154, 9154, 9154, 9154, 9154, 9155, 9157, 9159, 9159, 9162, 9165, 9167, 9172, 9175, 9178, 9178, 9179, 9179, 9180, 9180, 9181, 9181, 9182, 9182, 9183, 9186, 9190, 9191, 9193, 9195, 9199, 9199, 9201, 9201, 9202, 9204, 9205, 9205, 9206, 9208, 9209, 9210, 9210, 9211, 9212, 9212, 9212, 9212, 9212, 9213, 9214, 9214, 9215, 9216, 9216, 9216, 9217, 9217, 9219, 9219, 9222, 9224, 9224, 9225, 9226, 9228, 9232, 9232, 9233, 9233, 9233, 9234, 9235, 9236, 9237, 9238, 9239, 9239, 9240, 9242, 9243, 9243, 9243, 9245, 9246, 9247, 9247, 9248, 9250, 9250, 9250, 9250, 9251, 9251, 9252, 9252, 9253, 9253, 9253, 9254, 9256, 9259, 9259, 9264, 9266, 9269, 9269, 9269, 9271, 9272, 9272, 9273, 9274, 9274, 9275, 9275, 9276, 9277, 9277, 9278, 9278, 9278, 9284, 9285, 9286, 9286, 9290, 9290, 9292, 9294, 9298, 9299, 9299, 9300, 9300, 9300, 9301, 9301, 9303, 9303, 9304, 9304, 9304, 9305, 9308, 9309, 9316, 9319, 9321, 9323, 9325, 9326, 9326, 9326, 9327, 9328, 9328, 9329, 9329, 9329, 9329, 9330, 9330, 9330, 9333, 9333, 9334, 9334, 9335, 9335, 9340, 9340, 9341, 9342, 9343, 9343, 9343, 9345, 9345, 9350, 9350, 9352, 9356, 9357, 9358, 9358, 9358, 9360, 9363, 9363, 9365, 9365, 9366, 9366, 9368, 9368, 9370, 9371, 9372, 9375, 9377, 9377, 9381, 9382, 9385, 9385, 9388, 9390, 9390, 9390, 9391, 9391, 9392, 9392, 9394, 9394, 9396, 9397, 9404, 9410, 9411, 9414, 9415, 9416, 9416, 9416, 9417, 9418, 9419, 9419, 9421, 9422, 9422, 9425, 9425, 9426, 9426, 9427, 9429, 9429, 9429, 9432, 9434, 9434, 9435, 9435, 9436, 9436, 9437, 9438, 9439, 9441, 9441, 9442, 9443, 9444, 9444, 9446, 9447, 9450, 9451, 9452, 9453, 9456, 9457, 9458, 9460, 9461, 9461, 9462, 9463, 9464, 9468, 9469, 9469, 9471, 9471, 9473, 9473, 9473, 9473, 9474, 9477, 9478, 9478, 9480, 9480, 9481, 9481, 9481, 9483, 9483, 9484, 9486, 9486, 9488, 9492, 9492, 9492, 9497, 9497, 9497, 9497, 9499, 9501, 9502, 9503, 9504, 9504, 9504, 9504, 9505, 9509, 9512, 9513, 9515, 9516, 9516, 9517, 9518, 9518, 9520, 9523, 9528, 9528, 9528, 9529, 9532, 9533, 9533, 9534, 9537, 9539, 9541, 9543, 9543, 9547, 9548, 9548, 9548, 9549, 9550, 9551, 9551, 9553, 9554, 9554, 9554, 9555, 9556, 9558, 9559, 9560, 9560, 9564, 9565, 9565, 9565, 9565, 9567, 9567, 9568, 9569, 9569, 9572, 9573, 9574, 9575, 9575, 9576, 9576, 9578, 9578, 9582, 9586, 9587, 9588, 9588, 9589, 9589, 9590, 9590, 9591, 9592, 9593, 9595, 9595, 9597, 9597, 9600, 9601, 9601, 9602, 9603, 9604, 9607, 9607, 9608, 9609, 9610, 9611, 9611, 9611, 9612, 9612, 9612, 9616, 9619, 9619, 9621, 9621, 9622, 9624, 9626, 9626, 9627, 9628, 9631, 9632, 9633, 9633, 9633, 9634, 9636, 9638, 9639, 9640, 9642, 9644, 9647, 9649, 9650, 9651, 9651, 9651, 9652, 9652, 9653, 9654, 9654, 9655, 9657, 9658, 9658, 9658, 9659, 9660, 9660, 9660, 9661, 9661, 9662, 9663, 9663, 9663, 9664, 9665, 9666, 9669, 9670, 9670, 9671, 9672, 9673, 9673, 9674, 9675, 9675, 9675, 9676, 9677, 9680, 9681, 9682, 9684, 9685, 9685, 9689, 9692, 9692, 9693, 9697, 9698, 9698, 9698, 9699, 9700, 9701, 9706, 9706, 9707, 9707, 9708, 9708, 9709, 9710, 9712, 9712, 9715, 9715, 9715, 9715, 9715, 9718, 9718, 9718, 9719, 9719, 9721, 9721, 9721, 9723, 9728, 9729, 9730, 9733, 9733, 9734, 9734, 9738, 9739, 9739, 9741, 9743, 9743, 9744, 9745, 9748, 9748, 9749, 9750, 9750, 9750, 9753, 9753, 9755, 9756, 9756, 9757, 9757, 9757, 9761, 9762, 9763, 9763, 9765, 9765, 9766, 9766, 9770, 9770, 9770, 9772, 9773, 9774, 9776, 9776, 9777, 9777, 9779, 9779, 9780, 9780, 9781, 9782, 9782, 9782, 9783, 9784, 9785, 9786, 9786, 9789, 9790, 9791, 9791, 9791, 9792, 9794, 9797, 9797, 9800, 9800, 9802, 9802, 9803, 9803, 9804, 9804, 9804, 9804, 9805, 9805, 9805, 9806, 9810, 9810, 9811, 9812, 9813, 9813, 9814, 9815, 9815, 9818, 9818, 9820, 9820, 9820, 9822, 9823, 9823, 9824, 9826, 9827, 9830, 9831, 9833, 9833, 9835, 9835, 9835, 9836, 9839, 9840, 9841, 9842, 9843, 9846, 9847, 9848, 9850, 9851, 9851, 9851, 9851, 9852, 9852, 9853, 9853, 9853, 9854, 9855, 9857, 9857, 9857, 9858, 9859, 9859, 9859, 9860, 9861, 9863, 9863, 9866, 9866, 9866, 9870, 9875, 9875, 9877, 9878, 9878, 9879, 9880, 9881, 9884, 9886, 9886, 9887, 9889, 9889, 9889, 9890, 9892, 9893, 9894, 9894, 9896, 9896, 9897, 9898, 9899, 9901, 9901, 9902, 9903, 9905, 9906, 9907, 9907, 9907, 9907, 9909, 9912, 9913, 9914, 9914, 9915, 9915, 9917, 9917, 9917, 9917, 9919, 9921, 9922, 9924, 9925, 9927, 9927, 9928, 9928, 9929, 9929, 9932, 9932, 9933, 9933, 9934, 9935, 9937, 9937, 9937, 9939, 9939, 9939, 9939, 9940, 9943, 9943, 9944, 9944, 9945, 9945, 9945, 9948, 9949, 9950, 9952, 9952, 9952, 9953, 9954, 9954, 9954, 9955, 9955, 9958, 9959, 9959, 9959, 9961, 9962, 9963, 9964, 9966, 9966, 9966, 9967, 9968, 9970, 9971, 9971, 9972, 9972, 9973, 9973, 9975, 9975, 9975, 9976, 9980, 9981, 9981, 9981, 9981, 9984, 9985, 9985, 9986, 9986, 9988, 9989, 9990, 9990, 9991, 9992, 9995, 9996, 9997, 9998, 9998, 9999, 9999]
## Homework Hacks
# Hack 1
- Create a random decision maker that choses between 2 string options.
```python
#Enter code here
import random
def random_decision(option1, option2):
# Simulate a coin flip (0 for heads, 1 for tails)
coin_flip = random.randint(0, 1)
if coin_flip == 0:
return option1
else:
return option2
option1 = "Option A"
option2 = "Option B"
decision = random_decision(option1, option2)
print("Randomly chosen option: " + decision)
```
Randomly chosen option: Option B
# Hack 2
Modify the following function that calculates the sum of a range of numbers from 1-99999999 more efficient.
Hints:
- The formula for finding the sum of an arithmetic series is n/2 * (first_number + last_number) where n is the number of terms.
- To find the number of terms in a list, use len(list)
- To index the first term of a list, use list[0] and to index the last term, use list[-1].
```python
def calculate_sum(numbers):
n = len(numbers) # Number of terms
first_number = numbers[0] # The first term
last_number = numbers[-1] # The last term
total = n * (first_number + last_number) // 2 # Use the formula for the sum of an arithmetic series
return total
numbers = list(range(1, 99999999))
print(calculate_sum(numbers))
```
4999999850000001