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) ```

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 mood() : moodnumber = random.randint(1,10) return moodnumber def main() : result = mood() if result <= 3 : print("I am not happy today.") elif result <= 7 and result >= 3 : print("I'm feeling okay") else: print("I'm feeling great") main() ``` I'm feeling great ## 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, 2, 2, 3, 3, 3, 4, 4, 7, 7, 11, 11, 13, 14, 15, 16, 18, 19, 19, 24, 24, 25, 26, 26, 26, 26, 28, 28, 28, 30, 31, 31, 32, 32, 33, 33, 34, 35, 36, 36, 37, 37, 38, 39, 39, 40, 40, 41, 43, 43, 45, 45, 49, 49, 50, 50, 52, 53, 53, 53, 54, 55, 55, 55, 57, 59, 59, 60, 60, 61, 62, 63, 64, 64, 64, 65, 66, 67, 67, 68, 68, 69, 69, 69, 72, 73, 74, 76, 78, 79, 79, 80, 81, 81, 82, 83, 84, 84, 85, 85, 89, 89, 90, 93, 93, 93, 94, 96, 96, 101, 103, 103, 106, 107, 108, 109, 110, 110, 111, 113, 114, 118, 118, 119, 120, 121, 122, 122, 124, 126, 127, 130, 131, 132, 133, 134, 136, 137, 137, 140, 143, 144, 144, 145, 146, 146, 147, 150, 150, 150, 152, 152, 154, 155, 155, 157, 157, 157, 159, 160, 162, 162, 165, 166, 166, 167, 169, 170, 170, 170, 172, 173, 173, 173, 174, 174, 176, 178, 178, 180, 180, 182, 184, 185, 187, 188, 188, 189, 190, 191, 191, 192, 193, 193, 193, 194, 195, 195, 195, 196, 199, 199, 201, 201, 202, 202, 202, 204, 205, 205, 207, 209, 210, 210, 210, 211, 212, 212, 214, 214, 215, 215, 215, 216, 217, 217, 218, 220, 221, 222, 222, 223, 223, 224, 224, 225, 225, 227, 227, 230, 231, 232, 232, 233, 235, 239, 240, 240, 240, 241, 243, 244, 244, 245, 245, 245, 247, 249, 249, 250, 250, 251, 251, 252, 254, 254, 256, 256, 259, 260, 260, 261, 261, 261, 262, 263, 264, 266, 268, 269, 270, 275, 275, 275, 275, 275, 277, 277, 278, 278, 278, 279, 280, 280, 281, 282, 282, 284, 285, 286, 287, 288, 289, 289, 289, 289, 290, 291, 293, 293, 293, 297, 299, 300, 301, 302, 304, 305, 305, 305, 306, 306, 307, 307, 307, 308, 309, 311, 311, 311, 314, 316, 317, 317, 317, 319, 321, 321, 323, 323, 323, 325, 326, 326, 327, 331, 331, 332, 333, 333, 334, 335, 336, 336, 339, 339, 341, 342, 343, 344, 344, 345, 345, 345, 346, 348, 349, 349, 349, 350, 351, 352, 356, 357, 358, 358, 359, 360, 361, 363, 363, 366, 366, 368, 368, 368, 368, 371, 371, 372, 372, 373, 373, 377, 377, 378, 378, 378, 379, 380, 382, 383, 385, 389, 390, 391, 393, 397, 399, 400, 402, 403, 404, 405, 408, 409, 409, 411, 413, 414, 415, 416, 416, 416, 416, 416, 417, 419, 423, 426, 429, 431, 431, 432, 433, 434, 434, 435, 436, 436, 436, 440, 440, 442, 444, 445, 446, 446, 449, 449, 450, 451, 451, 451, 454, 455, 455, 456, 456, 456, 457, 460, 461, 463, 465, 465, 465, 466, 467, 467, 467, 468, 469, 469, 470, 470, 471, 472, 472, 473, 473, 474, 479, 479, 479, 480, 480, 481, 482, 484, 485, 485, 487, 487, 491, 491, 494, 494, 495, 496, 496, 497, 499, 500, 500, 501, 501, 501, 502, 502, 502, 504, 504, 505, 507, 507, 507, 510, 511, 512, 515, 515, 516, 517, 517, 517, 517, 518, 519, 520, 523, 523, 524, 526, 526, 527, 527, 527, 527, 529, 530, 530, 532, 534, 535, 536, 538, 540, 541, 543, 543, 544, 546, 546, 547, 547, 549, 550, 552, 552, 553, 554, 555, 555, 556, 557, 557, 558, 559, 560, 560, 560, 560, 561, 562, 562, 563, 563, 564, 565, 565, 566, 567, 567, 572, 573, 574, 575, 579, 579, 580, 580, 584, 584, 585, 585, 591, 593, 594, 595, 596, 596, 597, 600, 603, 604, 605, 605, 606, 606, 607, 607, 607, 608, 608, 610, 612, 613, 613, 614, 614, 617, 618, 618, 619, 620, 620, 621, 621, 622, 623, 624, 624, 624, 624, 624, 624, 624, 625, 626, 627, 627, 627, 628, 628, 629, 631, 632, 632, 633, 634, 636, 637, 638, 639, 639, 643, 644, 644, 645, 646, 646, 648, 649, 649, 650, 651, 651, 656, 657, 659, 659, 660, 660, 662, 663, 664, 665, 665, 667, 669, 670, 670, 670, 672, 672, 672, 673, 673, 675, 675, 676, 676, 677, 679, 679, 681, 681, 683, 686, 686, 686, 689, 690, 693, 695, 696, 697, 697, 697, 699, 699, 700, 701, 701, 702, 702, 703, 706, 706, 707, 709, 709, 713, 713, 714, 714, 714, 716, 716, 716, 716, 716, 717, 718, 719, 719, 721, 721, 723, 724, 725, 728, 731, 732, 735, 736, 739, 740, 741, 741, 741, 743, 745, 746, 747, 749, 752, 753, 754, 755, 756, 758, 759, 759, 759, 759, 760, 760, 765, 765, 767, 768, 768, 768, 769, 769, 773, 776, 779, 781, 783, 785, 785, 786, 787, 787, 787, 787, 787, 790, 791, 793, 794, 795, 797, 800, 800, 801, 802, 803, 805, 805, 806, 806, 806, 807, 812, 813, 813, 814, 814, 815, 816, 816, 816, 817, 818, 820, 820, 821, 822, 822, 824, 825, 827, 828, 830, 831, 832, 832, 833, 833, 834, 835, 837, 837, 837, 837, 837, 838, 840, 841, 841, 842, 842, 843, 844, 846, 847, 849, 853, 853, 854, 854, 854, 854, 856, 859, 859, 861, 861, 862, 863, 864, 864, 864, 866, 867, 867, 871, 871, 877, 879, 881, 882, 884, 885, 888, 891, 892, 892, 893, 893, 893, 894, 895, 896, 897, 898, 899, 899, 900, 900, 903, 904, 904, 905, 906, 906, 907, 907, 910, 910, 912, 912, 914, 915, 917, 917, 918, 918, 919, 920, 920, 922, 922, 924, 924, 924, 927, 929, 929, 929, 931, 932, 933, 933, 934, 935, 936, 936, 937, 938, 939, 939, 939, 940, 942, 944, 945, 945, 945, 946, 948, 948, 950, 950, 950, 952, 953, 954, 955, 956, 956, 957, 957, 958, 960, 960, 961, 961, 961, 962, 962, 964, 964, 967, 968, 968, 969, 969, 970, 970, 971, 974, 974, 974, 975, 976, 977, 977, 977, 978, 979, 980, 981, 982, 983, 983, 983, 986, 988, 990, 991, 992, 992, 993, 995, 996, 997, 997, 997, 998, 998, 1001, 1001, 1001, 1002, 1002, 1003, 1004, 1004, 1005, 1009, 1011, 1011, 1011, 1012, 1012, 1013, 1013, 1013, 1017, 1018, 1019, 1019, 1021, 1021, 1022, 1022, 1023, 1024, 1024, 1025, 1026, 1026, 1026, 1026, 1029, 1029, 1030, 1032, 1034, 1037, 1038, 1038, 1039, 1039, 1039, 1041, 1043, 1045, 1045, 1048, 1048, 1048, 1049, 1049, 1051, 1051, 1051, 1052, 1054, 1054, 1054, 1055, 1056, 1058, 1058, 1060, 1061, 1062, 1066, 1066, 1066, 1067, 1067, 1067, 1067, 1069, 1069, 1070, 1072, 1073, 1074, 1074, 1076, 1079, 1079, 1080, 1080, 1082, 1083, 1084, 1084, 1084, 1085, 1086, 1086, 1087, 1089, 1091, 1093, 1093, 1094, 1095, 1097, 1098, 1100, 1100, 1100, 1101, 1101, 1105, 1105, 1106, 1106, 1108, 1110, 1110, 1110, 1111, 1112, 1113, 1113, 1114, 1114, 1114, 1115, 1116, 1117, 1117, 1118, 1118, 1119, 1120, 1121, 1121, 1122, 1123, 1124, 1128, 1129, 1130, 1130, 1131, 1132, 1134, 1134, 1134, 1134, 1135, 1135, 1138, 1140, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1147, 1147, 1147, 1149, 1149, 1152, 1154, 1156, 1158, 1160, 1161, 1161, 1162, 1163, 1164, 1166, 1167, 1167, 1167, 1167, 1171, 1172, 1173, 1175, 1175, 1175, 1176, 1176, 1177, 1178, 1178, 1179, 1180, 1180, 1182, 1184, 1184, 1186, 1186, 1188, 1189, 1189, 1190, 1190, 1191, 1192, 1192, 1192, 1192, 1193, 1195, 1195, 1196, 1197, 1198, 1202, 1204, 1204, 1206, 1207, 1207, 1208, 1208, 1210, 1212, 1213, 1215, 1215, 1215, 1215, 1217, 1219, 1221, 1222, 1222, 1223, 1223, 1224, 1225, 1226, 1227, 1229, 1230, 1230, 1231, 1235, 1235, 1236, 1236, 1236, 1237, 1239, 1239, 1242, 1244, 1244, 1244, 1245, 1246, 1247, 1248, 1248, 1248, 1249, 1249, 1250, 1251, 1252, 1252, 1252, 1254, 1254, 1255, 1255, 1256, 1256, 1257, 1257, 1258, 1259, 1261, 1262, 1263, 1264, 1266, 1266, 1268, 1269, 1269, 1271, 1271, 1273, 1274, 1275, 1275, 1277, 1277, 1277, 1277, 1278, 1278, 1279, 1280, 1284, 1285, 1285, 1285, 1287, 1288, 1288, 1288, 1289, 1289, 1290, 1290, 1290, 1291, 1291, 1291, 1291, 1291, 1291, 1292, 1293, 1294, 1297, 1298, 1300, 1300, 1300, 1301, 1302, 1302, 1303, 1303, 1304, 1305, 1305, 1306, 1309, 1310, 1310, 1312, 1312, 1312, 1314, 1315, 1316, 1319, 1321, 1321, 1321, 1321, 1322, 1323, 1325, 1325, 1326, 1326, 1327, 1327, 1327, 1328, 1330, 1332, 1332, 1333, 1334, 1334, 1337, 1337, 1337, 1339, 1339, 1340, 1341, 1341, 1343, 1344, 1344, 1345, 1345, 1345, 1345, 1347, 1348, 1350, 1352, 1354, 1354, 1355, 1357, 1357, 1361, 1361, 1361, 1362, 1364, 1365, 1365, 1367, 1369, 1369, 1370, 1372, 1373, 1374, 1376, 1376, 1377, 1377, 1378, 1378, 1380, 1384, 1384, 1387, 1390, 1390, 1391, 1392, 1393, 1394, 1396, 1396, 1397, 1397, 1399, 1399, 1399, 1399, 1400, 1401, 1401, 1401, 1401, 1402, 1402, 1404, 1407, 1407, 1407, 1408, 1409, 1411, 1411, 1413, 1413, 1413, 1416, 1417, 1418, 1419, 1421, 1423, 1423, 1423, 1424, 1426, 1426, 1427, 1428, 1429, 1433, 1434, 1434, 1435, 1435, 1437, 1438, 1438, 1440, 1440, 1440, 1440, 1441, 1441, 1442, 1442, 1443, 1443, 1444, 1445, 1446, 1446, 1448, 1449, 1449, 1451, 1454, 1456, 1457, 1457, 1458, 1458, 1458, 1460, 1460, 1461, 1461, 1462, 1462, 1464, 1464, 1464, 1465, 1466, 1467, 1469, 1471, 1471, 1472, 1472, 1472, 1472, 1473, 1474, 1474, 1474, 1475, 1477, 1477, 1478, 1481, 1481, 1486, 1486, 1488, 1489, 1490, 1490, 1490, 1490, 1490, 1495, 1498, 1498, 1499, 1499, 1502, 1503, 1503, 1504, 1504, 1505, 1505, 1506, 1507, 1508, 1508, 1510, 1511, 1513, 1517, 1517, 1520, 1520, 1520, 1521, 1521, 1522, 1522, 1525, 1525, 1526, 1527, 1527, 1527, 1528, 1529, 1529, 1530, 1530, 1531, 1532, 1533, 1534, 1534, 1534, 1537, 1537, 1538, 1540, 1541, 1542, 1542, 1545, 1545, 1547, 1547, 1547, 1554, 1557, 1557, 1560, 1560, 1562, 1563, 1563, 1564, 1564, 1564, 1565, 1565, 1565, 1567, 1568, 1568, 1570, 1570, 1571, 1571, 1572, 1572, 1572, 1573, 1574, 1576, 1577, 1577, 1577, 1578, 1579, 1579, 1580, 1582, 1582, 1584, 1585, 1585, 1587, 1587, 1588, 1591, 1591, 1593, 1595, 1596, 1597, 1597, 1599, 1599, 1600, 1601, 1602, 1604, 1606, 1609, 1609, 1610, 1610, 1611, 1611, 1613, 1615, 1617, 1618, 1618, 1618, 1623, 1624, 1624, 1629, 1630, 1630, 1631, 1633, 1635, 1635, 1636, 1636, 1636, 1637, 1637, 1640, 1642, 1642, 1648, 1648, 1649, 1650, 1650, 1652, 1652, 1653, 1654, 1658, 1659, 1659, 1659, 1660, 1662, 1662, 1662, 1665, 1665, 1666, 1666, 1667, 1668, 1668, 1670, 1670, 1671, 1672, 1672, 1672, 1674, 1674, 1674, 1675, 1675, 1677, 1678, 1678, 1680, 1680, 1684, 1684, 1686, 1688, 1689, 1689, 1690, 1691, 1691, 1695, 1696, 1696, 1697, 1697, 1697, 1698, 1698, 1698, 1698, 1700, 1700, 1701, 1702, 1702, 1704, 1704, 1705, 1705, 1707, 1707, 1708, 1709, 1710, 1710, 1712, 1714, 1714, 1715, 1715, 1716, 1717, 1717, 1717, 1717, 1718, 1722, 1722, 1722, 1724, 1724, 1726, 1726, 1728, 1729, 1729, 1729, 1729, 1729, 1730, 1730, 1731, 1731, 1733, 1735, 1736, 1737, 1737, 1737, 1740, 1740, 1745, 1745, 1747, 1747, 1751, 1751, 1752, 1752, 1752, 1752, 1754, 1754, 1754, 1754, 1754, 1755, 1757, 1757, 1757, 1757, 1758, 1760, 1761, 1761, 1762, 1765, 1765, 1766, 1767, 1768, 1768, 1771, 1772, 1772, 1773, 1774, 1777, 1778, 1780, 1781, 1782, 1784, 1787, 1787, 1788, 1789, 1789, 1790, 1790, 1791, 1792, 1793, 1794, 1795, 1795, 1796, 1799, 1799, 1800, 1801, 1803, 1804, 1804, 1805, 1807, 1809, 1810, 1812, 1813, 1813, 1814, 1815, 1815, 1815, 1817, 1818, 1820, 1820, 1820, 1820, 1821, 1821, 1822, 1822, 1822, 1822, 1823, 1823, 1824, 1825, 1826, 1827, 1829, 1829, 1830, 1831, 1832, 1832, 1833, 1833, 1838, 1838, 1839, 1839, 1840, 1840, 1840, 1842, 1842, 1844, 1844, 1844, 1846, 1848, 1850, 1850, 1852, 1853, 1856, 1857, 1857, 1858, 1858, 1860, 1861, 1864, 1864, 1865, 1865, 1865, 1866, 1868, 1870, 1871, 1872, 1873, 1877, 1877, 1878, 1880, 1881, 1881, 1882, 1883, 1884, 1885, 1886, 1886, 1886, 1886, 1889, 1891, 1893, 1893, 1895, 1896, 1896, 1897, 1898, 1899, 1900, 1900, 1901, 1903, 1903, 1904, 1905, 1905, 1905, 1905, 1907, 1910, 1911, 1912, 1915, 1919, 1919, 1920, 1920, 1924, 1926, 1926, 1926, 1926, 1926, 1926, 1927, 1928, 1928, 1928, 1929, 1929, 1930, 1931, 1935, 1937, 1938, 1939, 1946, 1947, 1947, 1947, 1948, 1949, 1950, 1952, 1952, 1953, 1954, 1954, 1954, 1955, 1955, 1959, 1960, 1961, 1961, 1962, 1962, 1963, 1965, 1966, 1968, 1969, 1969, 1970, 1971, 1972, 1972, 1973, 1973, 1974, 1975, 1975, 1977, 1977, 1978, 1979, 1980, 1981, 1981, 1981, 1982, 1983, 1983, 1984, 1985, 1985, 1985, 1985, 1986, 1987, 1988, 1988, 1988, 1988, 1994, 1995, 1997, 1998, 1998, 2000, 2000, 2004, 2005, 2006, 2006, 2006, 2007, 2008, 2010, 2010, 2010, 2011, 2013, 2013, 2014, 2014, 2016, 2017, 2017, 2019, 2023, 2025, 2025, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2036, 2037, 2037, 2039, 2040, 2040, 2043, 2044, 2044, 2044, 2045, 2047, 2049, 2049, 2050, 2052, 2053, 2053, 2053, 2053, 2054, 2055, 2057, 2057, 2057, 2058, 2059, 2060, 2062, 2062, 2064, 2064, 2067, 2069, 2070, 2070, 2071, 2072, 2074, 2076, 2076, 2080, 2080, 2081, 2081, 2082, 2083, 2084, 2084, 2085, 2086, 2087, 2087, 2092, 2093, 2095, 2095, 2096, 2097, 2099, 2099, 2099, 2100, 2101, 2102, 2103, 2106, 2106, 2106, 2108, 2108, 2108, 2110, 2111, 2112, 2113, 2113, 2114, 2116, 2116, 2116, 2118, 2118, 2119, 2119, 2120, 2121, 2122, 2125, 2125, 2126, 2126, 2126, 2128, 2129, 2129, 2130, 2130, 2132, 2133, 2134, 2135, 2135, 2135, 2137, 2138, 2139, 2139, 2141, 2142, 2142, 2145, 2145, 2146, 2146, 2146, 2146, 2147, 2149, 2150, 2151, 2151, 2151, 2153, 2154, 2156, 2156, 2156, 2156, 2157, 2159, 2160, 2160, 2162, 2162, 2162, 2164, 2167, 2168, 2169, 2170, 2171, 2172, 2174, 2175, 2176, 2176, 2177, 2177, 2178, 2180, 2180, 2180, 2181, 2182, 2182, 2183, 2183, 2184, 2185, 2186, 2187, 2189, 2190, 2190, 2190, 2191, 2192, 2193, 2193, 2194, 2195, 2196, 2196, 2198, 2199, 2200, 2202, 2203, 2203, 2203, 2204, 2209, 2209, 2210, 2210, 2210, 2211, 2215, 2216, 2217, 2217, 2218, 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9614, 9615, 9616, 9616, 9619, 9620, 9622, 9622, 9623, 9624, 9624, 9624, 9624, 9626, 9626, 9627, 9627, 9631, 9631, 9631, 9631, 9632, 9634, 9634, 9635, 9636, 9637, 9642, 9642, 9642, 9644, 9644, 9646, 9646, 9647, 9647, 9647, 9647, 9647, 9648, 9648, 9651, 9651, 9653, 9655, 9655, 9656, 9657, 9657, 9658, 9658, 9660, 9660, 9661, 9661, 9661, 9663, 9663, 9665, 9665, 9668, 9669, 9670, 9670, 9671, 9672, 9673, 9676, 9676, 9676, 9676, 9677, 9680, 9681, 9682, 9684, 9685, 9687, 9688, 9689, 9689, 9689, 9690, 9691, 9692, 9692, 9693, 9695, 9696, 9696, 9696, 9697, 9697, 9698, 9698, 9698, 9700, 9700, 9702, 9702, 9703, 9703, 9704, 9707, 9708, 9708, 9708, 9710, 9710, 9710, 9712, 9712, 9713, 9715, 9717, 9721, 9721, 9721, 9724, 9726, 9726, 9726, 9726, 9727, 9727, 9729, 9730, 9730, 9731, 9732, 9732, 9733, 9734, 9735, 9735, 9736, 9737, 9737, 9738, 9738, 9739, 9740, 9740, 9741, 9741, 9743, 9744, 9745, 9746, 9746, 9751, 9751, 9752, 9752, 9752, 9753, 9753, 9753, 9754, 9755, 9758, 9759, 9759, 9759, 9761, 9762, 9763, 9763, 9763, 9764, 9764, 9765, 9766, 9766, 9766, 9766, 9767, 9767, 9771, 9772, 9774, 9774, 9774, 9775, 9778, 9778, 9778, 9778, 9779, 9780, 9780, 9781, 9781, 9781, 9781, 9784, 9784, 9784, 9785, 9786, 9786, 9787, 9787, 9788, 9788, 9789, 9789, 9790, 9791, 9791, 9792, 9793, 9794, 9794, 9794, 9795, 9796, 9796, 9796, 9802, 9802, 9804, 9805, 9806, 9807, 9809, 9816, 9816, 9817, 9817, 9817, 9819, 9819, 9821, 9823, 9823, 9824, 9826, 9827, 9828, 9829, 9829, 9831, 9832, 9835, 9836, 9837, 9837, 9838, 9838, 9840, 9840, 9842, 9843, 9843, 9845, 9845, 9845, 9845, 9846, 9847, 9848, 9849, 9849, 9850, 9851, 9852, 9853, 9853, 9853, 9854, 9854, 9854, 9859, 9860, 9861, 9863, 9863, 9865, 9866, 9866, 9866, 9866, 9871, 9872, 9873, 9874, 9874, 9875, 9875, 9876, 9876, 9879, 9880, 9880, 9880, 9880, 9882, 9883, 9884, 9884, 9884, 9887, 9888, 9888, 9891, 9891, 9892, 9893, 9894, 9894, 9899, 9900, 9903, 9905, 9906, 9906, 9906, 9908, 9908, 9908, 9909, 9909, 9910, 9911, 9912, 9912, 9917, 9920, 9921, 9922, 9924, 9924, 9925, 9928, 9932, 9932, 9932, 9932, 9933, 9933, 9934, 9934, 9935, 9936, 9936, 9937, 9937, 9937, 9938, 9938, 9939, 9939, 9939, 9939, 9941, 9941, 9943, 9943, 9945, 9946, 9947, 9949, 9950, 9951, 9953, 9954, 9955, 9956, 9956, 9956, 9956, 9956, 9957, 9958, 9960, 9963, 9963, 9964, 9964, 9964, 9965, 9966, 9967, 9967, 9967, 9967, 9968, 9970, 9971, 9971, 9973, 9973, 9974, 9974, 9975, 9975, 9977, 9980, 9980, 9980, 9981, 9984, 9984, 9984, 9985, 9987, 9987, 9988, 9990, 9992, 9992, 9993, 9993, 9993, 9996, 9997, 9998] ## Popcorn Hack 2 - Using bubble sort, make multiple strings that sort alphabetically. ```python #Enter code here 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] fruits = ["apple", "strawberry", "banana", "mango", "blueberry"] bubble_sort(fruits) print(fruits) ``` ['apple', 'banana', 'blueberry', 'mango', 'strawberry'] ## 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: [2, 4, 4, 4, 4, 5, 6, 10, 11, 12, 12, 17, 17, 18, 20, 21, 22, 23, 24, 24, 24, 27, 27, 27, 28, 30, 30, 31, 33, 33, 33, 35, 38, 38, 38, 39, 40, 43, 43, 45, 45, 46, 46, 49, 50, 52, 52, 52, 53, 53, 55, 57, 58, 59, 62, 63, 64, 64, 65, 65, 66, 67, 69, 72, 72, 72, 72, 76, 76, 76, 78, 78, 80, 80, 82, 83, 83, 86, 87, 87, 88, 88, 88, 89, 90, 91, 92, 92, 93, 95, 96, 98, 98, 100, 100, 101, 101, 102, 103, 105, 108, 108, 108, 109, 110, 112, 112, 113, 115, 115, 119, 119, 120, 121, 121, 121, 122, 123, 123, 124, 126, 127, 129, 131, 132, 132, 133, 133, 134, 135, 135, 137, 137, 140, 141, 141, 143, 143, 147, 148, 151, 152, 152, 155, 156, 157, 157, 157, 158, 159, 160, 161, 162, 162, 164, 168, 169, 172, 173, 174, 177, 177, 178, 181, 181, 182, 182, 183, 183, 184, 186, 188, 191, 191, 192, 192, 194, 194, 196, 197, 200, 202, 203, 204, 204, 205, 205, 207, 209, 209, 209, 209, 211, 212, 213, 216, 217, 218, 219, 220, 221, 221, 226, 228, 232, 232, 234, 234, 235, 237, 238, 239, 240, 242, 243, 244, 244, 247, 247, 248, 250, 253, 254, 254, 255, 255, 255, 256, 260, 261, 262, 262, 265, 266, 266, 267, 267, 271, 271, 272, 274, 275, 277, 277, 279, 279, 280, 280, 281, 283, 283, 283, 285, 286, 287, 288, 288, 288, 289, 290, 291, 292, 292, 292, 294, 294, 294, 294, 296, 296, 296, 297, 298, 299, 300, 300, 300, 301, 306, 307, 308, 308, 308, 312, 313, 313, 314, 317, 318, 318, 319, 319, 319, 320, 320, 320, 320, 321, 322, 322, 323, 324, 325, 326, 326, 326, 328, 329, 329, 330, 333, 337, 338, 339, 339, 339, 340, 340, 343, 343, 345, 345, 346, 347, 349, 349, 349, 349, 350, 350, 351, 351, 353, 353, 354, 354, 354, 355, 356, 357, 358, 360, 361, 363, 363, 365, 366, 367, 368, 368, 368, 369, 369, 369, 369, 371, 371, 372, 372, 373, 374, 376, 376, 378, 380, 380, 380, 381, 381, 384, 384, 388, 389, 390, 390, 392, 392, 392, 393, 393, 394, 395, 396, 396, 397, 397, 397, 398, 400, 400, 401, 402, 402, 403, 404, 405, 407, 407, 408, 409, 410, 410, 413, 413, 414, 416, 417, 417, 419, 419, 421, 421, 422, 423, 425, 426, 426, 428, 428, 430, 431, 432, 433, 433, 434, 436, 436, 437, 437, 438, 438, 439, 441, 444, 445, 446, 447, 447, 448, 449, 450, 450, 451, 452, 452, 452, 453, 454, 454, 454, 454, 455, 459, 459, 462, 463, 464, 465, 466, 469, 469, 471, 474, 476, 476, 477, 478, 479, 479, 480, 481, 482, 483, 483, 488, 488, 488, 490, 493, 496, 497, 497, 498, 500, 501, 503, 505, 505, 505, 506, 507, 507, 508, 510, 510, 510, 510, 511, 511, 512, 512, 513, 513, 515, 520, 520, 520, 521, 522, 523, 525, 525, 527, 528, 529, 530, 531, 532, 532, 535, 537, 540, 540, 542, 542, 542, 542, 542, 543, 543, 544, 544, 545, 545, 548, 550, 550, 551, 551, 552, 552, 553, 555, 557, 557, 557, 557, 558, 559, 559, 560, 561, 566, 568, 568, 569, 570, 571, 572, 573, 574, 575, 575, 575, 575, 575, 578, 579, 579, 585, 586, 587, 589, 590, 590, 591, 592, 595, 595, 597, 598, 600, 603, 603, 604, 604, 606, 606, 608, 609, 610, 611, 611, 615, 615, 616, 617, 618, 619, 625, 625, 627, 629, 629, 637, 637, 637, 638, 639, 639, 639, 639, 640, 640, 641, 642, 643, 644, 644, 644, 646, 647, 648, 648, 649, 651, 651, 652, 653, 656, 657, 660, 660, 662, 662, 662, 663, 663, 664, 665, 666, 668, 668, 670, 672, 674, 674, 674, 679, 679, 681, 682, 682, 683, 685, 686, 688, 688, 689, 689, 690, 690, 692, 692, 693, 693, 695, 696, 697, 698, 702, 702, 703, 704, 706, 706, 706, 707, 709, 710, 713, 715, 715, 716, 718, 719, 726, 726, 727, 728, 728, 728, 731, 733, 734, 734, 735, 736, 736, 740, 742, 744, 745, 745, 746, 746, 747, 747, 749, 752, 753, 754, 755, 755, 756, 757, 759, 760, 761, 762, 762, 764, 765, 766, 767, 768, 768, 770, 773, 773, 774, 776, 777, 780, 780, 781, 781, 782, 783, 783, 785, 785, 786, 787, 787, 788, 788, 789, 791, 795, 796, 798, 798, 800, 800, 800, 801, 802, 802, 803, 803, 804, 805, 807, 807, 808, 808, 809, 810, 810, 811, 811, 812, 812, 812, 813, 813, 814, 814, 815, 816, 816, 816, 817, 818, 819, 819, 820, 820, 821, 822, 822, 824, 825, 825, 825, 825, 826, 826, 826, 827, 827, 828, 829, 829, 829, 830, 830, 835, 836, 836, 836, 836, 838, 839, 840, 840, 841, 846, 848, 848, 848, 848, 849, 849, 851, 851, 852, 854, 854, 855, 855, 856, 858, 858, 861, 863, 864, 865, 866, 867, 869, 869, 870, 870, 872, 873, 873, 873, 873, 874, 875, 876, 877, 878, 880, 880, 880, 881, 883, 884, 886, 886, 886, 887, 888, 892, 892, 892, 893, 894, 896, 900, 901, 903, 903, 903, 905, 905, 906, 908, 909, 909, 909, 909, 909, 911, 914, 914, 914, 915, 915, 916, 916, 918, 919, 919, 921, 921, 921, 922, 923, 923, 925, 928, 931, 931, 931, 931, 932, 932, 933, 933, 936, 937, 937, 940, 943, 943, 949, 950, 953, 955, 955, 956, 956, 957, 957, 958, 958, 958, 961, 964, 964, 966, 967, 967, 967, 968, 969, 970, 971, 975, 979, 979, 981, 982, 982, 982, 982, 988, 988, 989, 990, 992, 992, 995, 995, 996, 996, 997, 998, 998, 998, 999, 1000, 1003, 1003, 1003, 1004, 1004, 1005, 1006, 1006, 1008, 1009, 1010, 1011, 1012, 1013, 1015, 1016, 1016, 1017, 1017, 1018, 1019, 1021, 1022, 1023, 1023, 1024, 1025, 1027, 1027, 1027, 1028, 1028, 1032, 1032, 1032, 1033, 1034, 1035, 1036, 1036, 1036, 1037, 1038, 1039, 1042, 1042, 1043, 1044, 1045, 1048, 1050, 1050, 1051, 1051, 1054, 1054, 1054, 1055, 1057, 1057, 1058, 1058, 1059, 1060, 1061, 1062, 1062, 1064, 1065, 1067, 1067, 1068, 1068, 1068, 1068, 1070, 1071, 1071, 1072, 1074, 1074, 1074, 1074, 1075, 1076, 1077, 1079, 1079, 1080, 1084, 1087, 1087, 1087, 1088, 1089, 1091, 1091, 1092, 1094, 1095, 1095, 1097, 1097, 1097, 1098, 1100, 1100, 1100, 1103, 1104, 1105, 1106, 1107, 1109, 1110, 1111, 1111, 1112, 1113, 1114, 1114, 1115, 1117, 1120, 1121, 1121, 1122, 1122, 1123, 1123, 1124, 1125, 1125, 1126, 1126, 1127, 1127, 1128, 1130, 1131, 1132, 1132, 1133, 1134, 1136, 1138, 1138, 1139, 1139, 1139, 1139, 1140, 1140, 1140, 1144, 1144, 1145, 1145, 1145, 1146, 1146, 1147, 1147, 1149, 1149, 1150, 1151, 1151, 1152, 1154, 1154, 1157, 1157, 1158, 1158, 1159, 1159, 1160, 1162, 1162, 1162, 1163, 1165, 1167, 1168, 1169, 1169, 1171, 1171, 1171, 1171, 1172, 1172, 1172, 1173, 1175, 1176, 1177, 1177, 1178, 1179, 1181, 1181, 1182, 1184, 1184, 1184, 1188, 1188, 1188, 1189, 1189, 1192, 1193, 1194, 1194, 1196, 1199, 1200, 1201, 1201, 1201, 1201, 1202, 1202, 1202, 1204, 1205, 1207, 1208, 1208, 1210, 1210, 1211, 1212, 1213, 1214, 1215, 1215, 1217, 1218, 1218, 1219, 1222, 1223, 1224, 1224, 1225, 1228, 1228, 1230, 1230, 1231, 1233, 1234, 1234, 1238, 1238, 1238, 1239, 1239, 1241, 1241, 1241, 1244, 1244, 1246, 1246, 1247, 1247, 1248, 1248, 1248, 1249, 1252, 1252, 1253, 1256, 1256, 1256, 1257, 1257, 1259, 1261, 1261, 1261, 1262, 1262, 1264, 1264, 1264, 1265, 1267, 1268, 1268, 1268, 1269, 1270, 1271, 1271, 1271, 1273, 1274, 1277, 1277, 1277, 1280, 1282, 1282, 1283, 1283, 1285, 1285, 1286, 1287, 1288, 1288, 1289, 1289, 1290, 1292, 1292, 1293, 1294, 1294, 1294, 1295, 1295, 1296, 1296, 1299, 1301, 1302, 1302, 1302, 1303, 1305, 1306, 1307, 1308, 1308, 1308, 1308, 1309, 1310, 1310, 1310, 1311, 1314, 1315, 1315, 1316, 1317, 1318, 1318, 1318, 1318, 1319, 1321, 1322, 1322, 1324, 1324, 1326, 1326, 1326, 1327, 1328, 1329, 1330, 1331, 1331, 1332, 1332, 1332, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1340, 1342, 1343, 1344, 1344, 1346, 1348, 1349, 1349, 1350, 1351, 1351, 1351, 1352, 1352, 1353, 1354, 1359, 1360, 1360, 1363, 1364, 1366, 1367, 1367, 1367, 1367, 1367, 1368, 1369, 1371, 1372, 1373, 1373, 1374, 1374, 1374, 1375, 1377, 1379, 1380, 1380, 1381, 1381, 1383, 1383, 1385, 1385, 1386, 1387, 1388, 1390, 1390, 1390, 1391, 1394, 1395, 1396, 1398, 1398, 1400, 1402, 1402, 1402, 1402, 1403, 1404, 1405, 1405, 1405, 1407, 1408, 1409, 1409, 1411, 1411, 1412, 1412, 1413, 1413, 1414, 1415, 1416, 1417, 1418, 1418, 1425, 1425, 1426, 1427, 1427, 1427, 1430, 1430, 1431, 1431, 1431, 1432, 1432, 1433, 1435, 1438, 1439, 1441, 1441, 1442, 1442, 1444, 1444, 1445, 1446, 1447, 1448, 1448, 1449, 1450, 1451, 1451, 1454, 1455, 1455, 1455, 1455, 1458, 1458, 1458, 1459, 1459, 1460, 1460, 1461, 1463, 1464, 1464, 1467, 1467, 1468, 1469, 1469, 1471, 1471, 1473, 1474, 1476, 1477, 1479, 1480, 1481, 1483, 1484, 1484, 1484, 1485, 1486, 1487, 1488, 1490, 1491, 1493, 1496, 1496, 1497, 1498, 1500, 1501, 1503, 1508, 1510, 1510, 1513, 1513, 1514, 1515, 1516, 1516, 1517, 1518, 1519, 1519, 1519, 1520, 1520, 1521, 1524, 1524, 1525, 1526, 1527, 1531, 1531, 1532, 1534, 1534, 1536, 1536, 1539, 1539, 1540, 1541, 1544, 1544, 1545, 1545, 1545, 1546, 1546, 1548, 1549, 1550, 1551, 1552, 1552, 1552, 1553, 1553, 1554, 1555, 1557, 1558, 1560, 1561, 1562, 1563, 1563, 1565, 1565, 1565, 1567, 1570, 1572, 1574, 1579, 1580, 1581, 1582, 1583, 1583, 1584, 1591, 1594, 1595, 1595, 1598, 1600, 1601, 1602, 1605, 1605, 1606, 1608, 1609, 1610, 1612, 1613, 1614, 1616, 1617, 1618, 1622, 1624, 1625, 1626, 1626, 1627, 1627, 1629, 1631, 1634, 1634, 1635, 1640, 1641, 1644, 1647, 1648, 1648, 1649, 1650, 1650, 1651, 1652, 1652, 1654, 1657, 1660, 1661, 1661, 1662, 1663, 1666, 1666, 1667, 1671, 1672, 1675, 1676, 1677, 1678, 1681, 1681, 1681, 1683, 1684, 1685, 1685, 1686, 1687, 1687, 1688, 1689, 1691, 1691, 1691, 1692, 1696, 1698, 1699, 1700, 1700, 1701, 1701, 1705, 1705, 1705, 1707, 1707, 1707, 1709, 1714, 1714, 1714, 1714, 1715, 1716, 1716, 1718, 1720, 1720, 1721, 1721, 1721, 1721, 1722, 1722, 1724, 1725, 1726, 1727, 1727, 1728, 1729, 1729, 1730, 1731, 1734, 1735, 1738, 1739, 1741, 1741, 1743, 1743, 1745, 1745, 1748, 1749, 1750, 1751, 1752, 1752, 1753, 1754, 1754, 1757, 1759, 1761, 1768, 1768, 1769, 1769, 1770, 1773, 1779, 1783, 1784, 1785, 1786, 1787, 1788, 1788, 1789, 1789, 1790, 1791, 1794, 1795, 1795, 1796, 1797, 1800, 1801, 1802, 1802, 1803, 1806, 1806, 1807, 1807, 1807, 1808, 1809, 1810, 1810, 1811, 1813, 1818, 1818, 1818, 1819, 1819, 1819, 1821, 1822, 1822, 1824, 1825, 1826, 1827, 1828, 1829, 1829, 1830, 1830, 1831, 1832, 1833, 1834, 1835, 1837, 1843, 1846, 1846, 1847, 1847, 1849, 1849, 1850, 1851, 1851, 1851, 1852, 1852, 1852, 1853, 1857, 1858, 1860, 1860, 1862, 1863, 1863, 1864, 1864, 1866, 1868, 1868, 1869, 1869, 1870, 1871, 1872, 1873, 1873, 1875, 1875, 1876, 1876, 1877, 1878, 1878, 1881, 1882, 1884, 1885, 1885, 1886, 1886, 1887, 1889, 1892, 1894, 1894, 1894, 1895, 1895, 1896, 1896, 1896, 1900, 1900, 1902, 1904, 1904, 1905, 1905, 1905, 1905, 1906, 1907, 1909, 1910, 1910, 1910, 1911, 1913, 1913, 1913, 1914, 1916, 1916, 1917, 1918, 1918, 1918, 1920, 1922, 1923, 1923, 1925, 1925, 1927, 1928, 1929, 1930, 1930, 1934, 1935, 1937, 1937, 1938, 1938, 1939, 1939, 1939, 1939, 1942, 1942, 1942, 1946, 1946, 1947, 1949, 1949, 1949, 1949, 1958, 1959, 1960, 1960, 1960, 1962, 1963, 1964, 1968, 1968, 1969, 1971, 1972, 1972, 1973, 1974, 1975, 1975, 1975, 1975, 1976, 1976, 1978, 1978, 1979, 1980, 1981, 1981, 1982, 1982, 1985, 1985, 1985, 1987, 1988, 1989, 1989, 1989, 1989, 1990, 1992, 1995, 1995, 1995, 1996, 1996, 1996, 1997, 1997, 1998, 1998, 2001, 2001, 2001, 2004, 2005, 2007, 2007, 2007, 2007, 2008, 2008, 2010, 2011, 2012, 2012, 2012, 2013, 2014, 2014, 2015, 2016, 2016, 2017, 2017, 2021, 2022, 2022, 2023, 2026, 2027, 2027, 2028, 2029, 2030, 2030, 2031, 2031, 2032, 2032, 2037, 2037, 2037, 2039, 2039, 2039, 2040, 2040, 2043, 2047, 2047, 2048, 2048, 2049, 2050, 2050, 2051, 2051, 2051, 2052, 2052, 2053, 2053, 2053, 2054, 2055, 2056, 2056, 2059, 2060, 2061, 2062, 2062, 2063, 2064, 2068, 2068, 2070, 2070, 2071, 2072, 2075, 2075, 2076, 2077, 2078, 2078, 2079, 2082, 2082, 2082, 2084, 2085, 2086, 2087, 2087, 2088, 2088, 2089, 2089, 2091, 2092, 2093, 2093, 2095, 2096, 2097, 2097, 2097, 2097, 2099, 2101, 2102, 2105, 2105, 2105, 2106, 2108, 2109, 2109, 2109, 2110, 2111, 2112, 2112, 2113, 2113, 2114, 2114, 2116, 2116, 2117, 2117, 2117, 2118, 2119, 2121, 2127, 2128, 2130, 2130, 2131, 2132, 2134, 2135, 2135, 2136, 2136, 2136, 2137, 2138, 2141, 2142, 2145, 2147, 2150, 2150, 2150, 2151, 2151, 2151, 2154, 2154, 2154, 2155, 2155, 2156, 2158, 2159, 2160, 2163, 2164, 2165, 2165, 2166, 2166, 2166, 2169, 2170, 2172, 2175, 2176, 2178, 2178, 2182, 2183, 2185, 2186, 2188, 2188, 2189, 2190, 2191, 2191, 2192, 2192, 2192, 2193, 2193, 2193, 2195, 2195, 2196, 2196, 2197, 2198, 2198, 2198, 2198, 2203, 2204, 2208, 2208, 2208, 2208, 2209, 2210, 2210, 2212, 2214, 2215, 2216, 2217, 2217, 2218, 2219, 2220, 2220, 2221, 2222, 2223, 2223, 2224, 2224, 2225, 2226, 2227, 2227, 2229, 2231, 2231, 2233, 2233, 2234, 2235, 2235, 2236, 2237, 2239, 2239, 2242, 2242, 2245, 2245, 2245, 2246, 2246, 2246, 2246, 2247, 2248, 2249, 2249, 2250, 2252, 2253, 2254, 2254, 2257, 2257, 2257, 2258, 2260, 2261, 2261, 2263, 2263, 2263, 2263, 2265, 2266, 2266, 2268, 2268, 2269, 2271, 2271, 2272, 2272, 2277, 2277, 2278, 2278, 2278, 2278, 2279, 2280, 2283, 2283, 2283, 2284, 2284, 2285, 2285, 2286, 2286, 2286, 2287, 2290, 2292, 2293, 2294, 2294, 2294, 2295, 2295, 2295, 2296, 2296, 2297, 2297, 2298, 2299, 2301, 2301, 2303, 2304, 2304, 2305, 2308, 2308, 2308, 2309, 2311, 2311, 2312, 2315, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2323, 2323, 2325, 2327, 2327, 2328, 2329, 2330, 2331, 2333, 2333, 2334, 2335, 2336, 2336, 2338, 2339, 2339, 2340, 2341, 2342, 2343, 2344, 2346, 2346, 2346, 2346, 2347, 2347, 2348, 2351, 2353, 2354, 2356, 2356, 2357, 2358, 2358, 2358, 2359, 2360, 2361, 2363, 2363, 2364, 2366, 2366, 2367, 2367, 2369, 2370, 2371, 2373, 2373, 2374, 2376, 2377, 2377, 2378, 2379, 2381, 2382, 2382, 2383, 2383, 2383, 2384, 2384, 2384, 2384, 2384, 2386, 2386, 2386, 2387, 2387, 2388, 2388, 2389, 2389, 2390, 2392, 2392, 2392, 2393, 2393, 2394, 2395, 2396, 2397, 2397, 2398, 2399, 2401, 2402, 2403, 2406, 2406, 2407, 2408, 2409, 2409, 2409, 2409, 2411, 2411, 2411, 2412, 2412, 2413, 2413, 2414, 2414, 2415, 2417, 2418, 2418, 2419, 2421, 2421, 2422, 2423, 2424, 2424, 2425, 2425, 2425, 2425, 2426, 2428, 2428, 2429, 2430, 2431, 2431, 2432, 2433, 2434, 2440, 2441, 2442, 2442, 2443, 2443, 2443, 2445, 2448, 2448, 2450, 2450, 2450, 2454, 2455, 2456, 2456, 2457, 2459, 2460, 2461, 2461, 2463, 2464, 2464, 2466, 2466, 2468, 2471, 2471, 2471, 2473, 2473, 2475, 2475, 2476, 2477, 2478, 2481, 2486, 2486, 2487, 2489, 2490, 2490, 2490, 2491, 2495, 2497, 2498, 2501, 2502, 2503, 2504, 2505, 2505, 2505, 2507, 2507, 2507, 2508, 2509, 2512, 2513, 2515, 2520, 2521, 2521, 2523, 2524, 2524, 2524, 2525, 2526, 2526, 2527, 2528, 2529, 2529, 2529, 2530, 2531, 2533, 2534, 2535, 2537, 2538, 2538, 2539, 2539, 2540, 2540, 2540, 2542, 2543, 2543, 2544, 2544, 2545, 2545, 2545, 2548, 2548, 2549, 2550, 2551, 2554, 2555, 2555, 2555, 2556, 2557, 2557, 2558, 2559, 2560, 2562, 2564, 2565, 2565, 2565, 2565, 2565, 2566, 2566, 2567, 2567, 2569, 2571, 2572, 2572, 2575, 2576, 2576, 2576, 2577, 2577, 2578, 2578, 2579, 2579, 2580, 2581, 2582, 2583, 2583, 2583, 2587, 2588, 2588, 2588, 2590, 2591, 2591, 2592, 2593, 2594, 2594, 2595, 2596, 2597, 2601, 2601, 2604, 2604, 2605, 2606, 2607, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2615, 2615, 2617, 2617, 2618, 2618, 2625, 2630, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2639, 2642, 2642, 2644, 2645, 2645, 2646, 2647, 2647, 2649, 2651, 2651, 2653, 2653, 2655, 2655, 2656, 2656, 2657, 2658, 2658, 2661, 2662, 2662, 2662, 2663, 2664, 2665, 2668, 2668, 2668, 2669, 2669, 2671, 2674, 2675, 2680, 2682, 2682, 2684, 2684, 2686, 2687, 2688, 2691, 2691, 2692, 2692, 2693, 2695, 2700, 2700, 2701, 2701, 2704, 2704, 2707, 2710, 2710, 2711, 2712, 2712, 2713, 2715, 2716, 2717, 2718, 2718, 2720, 2720, 2720, 2721, 2722, 2722, 2723, 2723, 2723, 2724, 2727, 2727, 2727, 2729, 2730, 2730, 2731, 2732, 2734, 2734, 2735, 2735, 2735, 2737, 2737, 2739, 2740, 2743, 2745, 2745, 2748, 2749, 2750, 2752, 2753, 2753, 2759, 2760, 2761, 2763, 2763, 2764, 2765, 2765, 2766, 2768, 2768, 2769, 2771, 2771, 2772, 2774, 2774, 2777, 2779, 2779, 2779, 2780, 2780, 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3276, 3277, 3279, 3279, 3279, 3280, 3281, 3281, 3282, 3282, 3285, 3286, 3287, 3287, 3288, 3289, 3289, 3290, 3290, 3290, 3292, 3292, 3295, 3295, 3295, 3296, 3296, 3297, 3298, 3298, 3299, 3300, 3301, 3302, 3302, 3302, 3302, 3303, 3306, 3307, 3307, 3307, 3308, 3309, 3309, 3311, 3314, 3317, 3317, 3318, 3318, 3318, 3318, 3319, 3319, 3320, 3321, 3322, 3325, 3326, 3326, 3327, 3327, 3328, 3329, 3329, 3330, 3334, 3334, 3335, 3336, 3338, 3340, 3340, 3340, 3341, 3342, 3343, 3343, 3343, 3344, 3347, 3347, 3348, 3349, 3349, 3349, 3349, 3350, 3351, 3353, 3353, 3354, 3355, 3355, 3355, 3355, 3357, 3357, 3358, 3358, 3360, 3360, 3361, 3361, 3364, 3366, 3367, 3368, 3369, 3370, 3371, 3374, 3375, 3377, 3379, 3380, 3381, 3383, 3384, 3386, 3386, 3386, 3387, 3390, 3393, 3393, 3396, 3397, 3398, 3398, 3399, 3400, 3403, 3404, 3406, 3408, 3409, 3410, 3411, 3411, 3412, 3413, 3413, 3414, 3414, 3415, 3416, 3417, 3418, 3418, 3419, 3421, 3423, 3423, 3423, 3423, 3425, 3426, 3427, 3430, 3430, 3435, 3436, 3436, 3438, 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9886, 9886, 9888, 9888, 9890, 9890, 9892, 9892, 9893, 9895, 9897, 9897, 9897, 9897, 9898, 9899, 9909, 9909, 9910, 9911, 9911, 9911, 9912, 9913, 9914, 9915, 9918, 9919, 9920, 9920, 9921, 9922, 9923, 9923, 9925, 9925, 9925, 9926, 9928, 9929, 9930, 9934, 9935, 9936, 9939, 9941, 9942, 9943, 9944, 9945, 9945, 9945, 9947, 9947, 9948, 9949, 9950, 9952, 9952, 9952, 9955, 9959, 9959, 9959, 9962, 9962, 9962, 9963, 9965, 9965, 9965, 9966, 9966, 9967, 9968, 9968, 9970, 9971, 9972, 9973, 9976, 9978, 9978, 9981, 9981, 9982, 9982, 9984, 9985, 9985, 9985, 9986, 9986, 9987, 9987, 9988, 9989, 9990, 9991, 9991, 9992, 9993, 9995, 9998, 9999, 9999, 10000, 10000] ## Homework Hacks # Hack 1 - Create a random decision maker that choses between 2 string options. ```python #Enter code here import random def contestants(): return random.randint(0,100) def win(): contestant = contestants() if contestant == 20 : print("You won $1000!") else : print("Sorry, you didn't win.") win() ``` Sorry, you didn't win. # 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 #edit this code numbers = [i for i in range(1, 99999999)] def sum() : total = (len(numbers) * (numbers[0] + numbers[-1]))/2 return total print(sum(numbers)) ```