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 rando():
x =random.randint(0,10)
return x
x = rando()
if x > 5:
print("your number: "+ str(x) + " is greater than 5")
else:
print("your number: "+ str(x) + " is less than 5")
```
your number: 5 is less than 5
## 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: [2, 7, 7, 8, 11, 13, 13, 14, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 26, 27, 27, 28, 28, 29, 29, 29, 30, 32, 32, 35, 37, 37, 37, 38, 38, 40, 41, 41, 42, 44, 44, 44, 46, 49, 51, 51, 53, 53, 58, 59, 59, 59, 61, 61, 62, 63, 64, 65, 66, 67, 67, 70, 73, 74, 74, 77, 78, 78, 82, 84, 84, 85, 85, 85, 85, 86, 87, 87, 91, 91, 92, 92, 93, 93, 94, 95, 95, 96, 97, 97, 97, 99, 100, 100, 100, 100, 101, 102, 103, 103, 105, 105, 107, 110, 110, 110, 111, 111, 111, 112, 112, 113, 116, 116, 117, 117, 119, 122, 123, 123, 123, 124, 124, 124, 125, 127, 127, 128, 128, 129, 130, 130, 130, 131, 131, 133, 137, 138, 139, 139, 140, 141, 144, 145, 145, 146, 147, 147, 149, 151, 154, 154, 155, 155, 157, 157, 158, 159, 162, 164, 164, 164, 165, 167, 169, 169, 169, 169, 170, 173, 174, 174, 174, 178, 178, 179, 180, 181, 182, 182, 183, 183, 184, 184, 185, 185, 186, 186, 186, 187, 187, 188, 188, 191, 192, 194, 195, 195, 197, 200, 200, 201, 201, 202, 203, 205, 206, 209, 212, 213, 215, 215, 217, 218, 218, 218, 219, 220, 222, 223, 224, 224, 224, 226, 227, 227, 229, 229, 230, 230, 231, 233, 234, 235, 235, 235, 237, 238, 238, 239, 239, 240, 241, 246, 248, 248, 248, 248, 250, 251, 253, 254, 254, 254, 256, 258, 262, 262, 263, 263, 264, 264, 268, 269, 269, 270, 273, 275, 277, 278, 280, 281, 281, 282, 284, 284, 286, 286, 286, 288, 289, 290, 291, 291, 291, 293, 293, 294, 295, 295, 295, 295, 300, 302, 302, 304, 305, 306, 307, 309, 309, 310, 311, 311, 311, 312, 315, 315, 315, 316, 319, 319, 320, 322, 322, 323, 323, 325, 327, 327, 328, 329, 329, 331, 332, 332, 333, 333, 333, 333, 334, 337, 337, 337, 338, 338, 339, 341, 342, 343, 345, 345, 346, 347, 347, 347, 349, 350, 350, 350, 351, 351, 354, 354, 354, 355, 355, 357, 362, 364, 364, 365, 365, 365, 367, 368, 369, 370, 372, 374, 374, 375, 377, 377, 378, 380, 381, 382, 385, 386, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 397, 397, 398, 399, 399, 400, 400, 401, 403, 403, 403, 404, 405, 405, 406, 406, 406, 406, 407, 407, 408, 408, 408, 409, 410, 411, 411, 411, 412, 412, 412, 415, 416, 416, 417, 418, 419, 420, 422, 425, 427, 431, 431, 432, 432, 433, 434, 434, 435, 436, 436, 437, 437, 438, 443, 444, 445, 447, 447, 448, 448, 448, 451, 452, 454, 455, 456, 456, 457, 457, 459, 459, 462, 464, 464, 464, 465, 465, 467, 467, 470, 471, 475, 476, 477, 477, 478, 479, 481, 484, 485, 487, 487, 488, 488, 490, 490, 490, 491, 491, 491, 492, 494, 495, 497, 499, 499, 501, 502, 503, 505, 506, 506, 507, 507, 509, 509, 509, 509, 510, 511, 512, 513, 515, 516, 516, 517, 517, 517, 517, 518, 519, 519, 520, 522, 523, 524, 526, 527, 530, 531, 533, 534, 535, 535, 536, 539, 540, 541, 545, 545, 546, 548, 550, 551, 551, 551, 551, 553, 553, 553, 554, 554, 556, 556, 559, 560, 561, 562, 562, 564, 566, 567, 567, 572, 574, 574, 574, 577, 577, 579, 580, 581, 581, 582, 584, 586, 586, 588, 588, 591, 592, 592, 593, 594, 595, 597, 599, 599, 601, 601, 602, 603, 603, 604, 604, 605, 610, 610, 612, 614, 614, 616, 616, 616, 616, 617, 617, 619, 619, 621, 622, 624, 624, 625, 626, 626, 627, 628, 628, 629, 631, 631, 631, 632, 634, 635, 637, 637, 638, 639, 639, 642, 643, 644, 644, 644, 644, 645, 647, 651, 656, 656, 657, 657, 658, 658, 659, 661, 663, 663, 665, 665, 666, 666, 666, 666, 667, 668, 668, 671, 672, 672, 673, 674, 674, 675, 675, 677, 678, 678, 678, 679, 679, 680, 680, 681, 682, 683, 685, 686, 687, 687, 687, 687, 687, 688, 689, 689, 690, 690, 692, 693, 694, 698, 699, 699, 700, 702, 702, 703, 704, 707, 707, 707, 708, 711, 713, 714, 714, 715, 715, 717, 719, 719, 723, 727, 729, 729, 730, 730, 730, 734, 736, 740, 740, 740, 740, 741, 742, 743, 743, 743, 744, 745, 746, 747, 747, 750, 753, 755, 755, 755, 755, 756, 758, 762, 762, 764, 766, 766, 769, 771, 771, 773, 776, 777, 778, 778, 780, 781, 782, 782, 782, 783, 784, 786, 786, 786, 787, 788, 791, 793, 793, 793, 793, 794, 795, 796, 797, 797, 797, 799, 800, 801, 803, 803, 803, 804, 805, 805, 805, 807, 812, 813, 814, 815, 816, 817, 817, 818, 818, 819, 820, 820, 821, 823, 828, 829, 831, 833, 834, 834, 835, 837, 838, 838, 840, 841, 842, 842, 842, 845, 845, 847, 847, 848, 848, 852, 856, 856, 857, 859, 859, 859, 860, 861, 862, 862, 863, 864, 868, 868, 871, 871, 871, 873, 873, 875, 876, 878, 878, 879, 879, 880, 881, 882, 882, 882, 883, 884, 884, 886, 888, 893, 893, 894, 894, 895, 895, 895, 898, 898, 900, 901, 901, 902, 902, 903, 903, 905, 906, 907, 908, 911, 912, 915, 917, 917, 919, 919, 919, 922, 923, 925, 926, 931, 931, 935, 935, 935, 938, 938, 938, 941, 943, 944, 946, 946, 947, 948, 949, 950, 950, 951, 951, 952, 952, 954, 956, 957, 957, 959, 962, 964, 965, 966, 969, 969, 970, 970, 970, 971, 973, 974, 974, 976, 977, 978, 978, 980, 980, 980, 983, 984, 985, 986, 986, 988, 989, 990, 990, 993, 994, 995, 996, 997, 997, 997, 997, 997, 999, 1000, 1001, 1001, 1001, 1002, 1002, 1002, 1004, 1006, 1006, 1008, 1008, 1010, 1012, 1012, 1014, 1018, 1020, 1020, 1020, 1021, 1023, 1024, 1024, 1027, 1027, 1027, 1028, 1028, 1030, 1030, 1032, 1032, 1033, 1033, 1034, 1035, 1036, 1038, 1039, 1041, 1044, 1044, 1048, 1050, 1050, 1053, 1053, 1056, 1057, 1057, 1058, 1059, 1060, 1060, 1062, 1063, 1064, 1065, 1066, 1066, 1067, 1068, 1068, 1069, 1069, 1069, 1070, 1070, 1070, 1070, 1073, 1073, 1074, 1074, 1074, 1075, 1075, 1076, 1077, 1077, 1079, 1082, 1082, 1082, 1083, 1083, 1084, 1084, 1085, 1090, 1092, 1096, 1097, 1098, 1098, 1098, 1101, 1102, 1103, 1106, 1106, 1107, 1107, 1108, 1109, 1109, 1114, 1114, 1115, 1121, 1122, 1123, 1124, 1124, 1125, 1125, 1128, 1130, 1131, 1131, 1132, 1134, 1137, 1137, 1139, 1140, 1141, 1141, 1142, 1143, 1144, 1148, 1148, 1150, 1150, 1150, 1151, 1152, 1153, 1154, 1159, 1162, 1162, 1163, 1164, 1164, 1164, 1166, 1168, 1170, 1172, 1173, 1173, 1176, 1177, 1177, 1177, 1178, 1181, 1182, 1184, 1188, 1192, 1192, 1194, 1195, 1197, 1198, 1199, 1201, 1201, 1203, 1203, 1203, 1206, 1206, 1208, 1208, 1209, 1209, 1211, 1213, 1213, 1215, 1215, 1216, 1216, 1219, 1220, 1221, 1221, 1223, 1225, 1225, 1226, 1227, 1228, 1228, 1228, 1229, 1229, 1229, 1231, 1233, 1234, 1234, 1235, 1235, 1236, 1238, 1238, 1238, 1239, 1239, 1240, 1241, 1241, 1242, 1244, 1251, 1251, 1252, 1253, 1253, 1255, 1255, 1259, 1259, 1260, 1260, 1260, 1261, 1261, 1261, 1263, 1263, 1264, 1264, 1267, 1267, 1268, 1270, 1270, 1270, 1272, 1273, 1273, 1276, 1277, 1279, 1280, 1280, 1282, 1285, 1286, 1286, 1288, 1289, 1291, 1291, 1292, 1292, 1292, 1292, 1293, 1293, 1293, 1294, 1294, 1295, 1295, 1295, 1296, 1298, 1298, 1299, 1301, 1301, 1302, 1302, 1304, 1305, 1305, 1305, 1314, 1314, 1316, 1316, 1318, 1319, 1319, 1320, 1320, 1321, 1321, 1321, 1322, 1322, 1323, 1323, 1323, 1328, 1329, 1330, 1330, 1330, 1331, 1332, 1332, 1333, 1334, 1336, 1337, 1340, 1342, 1343, 1343, 1344, 1346, 1348, 1349, 1349, 1350, 1351, 1351, 1351, 1352, 1352, 1352, 1353, 1353, 1353, 1355, 1355, 1356, 1357, 1359, 1360, 1360, 1363, 1363, 1365, 1367, 1367, 1369, 1369, 1370, 1370, 1371, 1372, 1372, 1373, 1373, 1374, 1374, 1375, 1376, 1376, 1376, 1376, 1377, 1378, 1379, 1381, 1381, 1383, 1384, 1384, 1385, 1385, 1387, 1387, 1388, 1389, 1391, 1391, 1394, 1400, 1401, 1401, 1402, 1402, 1403, 1403, 1404, 1404, 1404, 1405, 1406, 1407, 1407, 1408, 1409, 1409, 1410, 1413, 1413, 1414, 1414, 1415, 1415, 1420, 1420, 1421, 1422, 1426, 1426, 1426, 1428, 1430, 1435, 1436, 1437, 1438, 1441, 1441, 1442, 1443, 1443, 1443, 1443, 1444, 1445, 1445, 1445, 1447, 1449, 1452, 1452, 1452, 1453, 1453, 1456, 1456, 1459, 1459, 1459, 1459, 1459, 1460, 1461, 1461, 1461, 1462, 1462, 1462, 1462, 1462, 1463, 1464, 1464, 1466, 1466, 1466, 1467, 1468, 1468, 1471, 1477, 1480, 1481, 1481, 1482, 1482, 1485, 1487, 1489, 1490, 1491, 1491, 1492, 1493, 1494, 1499, 1501, 1503, 1503, 1504, 1505, 1506, 1508, 1508, 1509, 1511, 1511, 1511, 1512, 1512, 1512, 1512, 1513, 1513, 1514, 1514, 1516, 1519, 1520, 1521, 1521, 1523, 1526, 1526, 1526, 1527, 1527, 1527, 1528, 1528, 1529, 1532, 1532, 1533, 1534, 1536, 1536, 1539, 1541, 1541, 1541, 1541, 1542, 1545, 1546, 1546, 1546, 1546, 1546, 1548, 1549, 1552, 1552, 1552, 1555, 1556, 1556, 1556, 1556, 1560, 1560, 1561, 1561, 1562, 1563, 1564, 1564, 1565, 1565, 1566, 1567, 1567, 1568, 1568, 1568, 1569, 1569, 1571, 1573, 1573, 1574, 1577, 1577, 1578, 1578, 1579, 1580, 1580, 1581, 1582, 1584, 1586, 1586, 1587, 1587, 1587, 1588, 1588, 1595, 1596, 1596, 1597, 1597, 1598, 1599, 1600, 1602, 1603, 1603, 1603, 1605, 1605, 1606, 1606, 1609, 1610, 1611, 1613, 1613, 1614, 1615, 1616, 1618, 1620, 1620, 1620, 1622, 1622, 1623, 1623, 1624, 1627, 1628, 1628, 1628, 1630, 1631, 1633, 1633, 1633, 1634, 1634, 1634, 1635, 1636, 1636, 1637, 1638, 1639, 1639, 1640, 1641, 1642, 1643, 1645, 1645, 1646, 1646, 1647, 1649, 1649, 1649, 1650, 1650, 1651, 1652, 1653, 1655, 1656, 1656, 1656, 1657, 1660, 1661, 1661, 1662, 1662, 1663, 1663, 1664, 1666, 1667, 1667, 1668, 1668, 1668, 1670, 1673, 1674, 1676, 1677, 1678, 1679, 1681, 1682, 1682, 1685, 1686, 1686, 1687, 1690, 1690, 1690, 1691, 1692, 1693, 1695, 1695, 1696, 1698, 1698, 1698, 1699, 1700, 1700, 1700, 1701, 1702, 1702, 1702, 1703, 1703, 1705, 1705, 1708, 1708, 1709, 1709, 1710, 1710, 1711, 1711, 1711, 1713, 1713, 1713, 1713, 1713, 1714, 1714, 1716, 1717, 1718, 1719, 1719, 1720, 1720, 1722, 1722, 1723, 1724, 1724, 1727, 1727, 1730, 1731, 1733, 1735, 1736, 1736, 1736, 1738, 1740, 1741, 1741, 1745, 1745, 1747, 1747, 1747, 1753, 1756, 1756, 1757, 1758, 1758, 1759, 1759, 1760, 1760, 1760, 1761, 1761, 1762, 1762, 1765, 1765, 1765, 1766, 1766, 1769, 1769, 1769, 1769, 1771, 1772, 1773, 1773, 1775, 1775, 1776, 1777, 1777, 1777, 1777, 1777, 1778, 1778, 1779, 1780, 1780, 1781, 1782, 1783, 1784, 1786, 1789, 1789, 1790, 1791, 1791, 1792, 1793, 1793, 1794, 1795, 1796, 1796, 1796, 1798, 1799, 1799, 1800, 1801, 1802, 1803, 1803, 1804, 1804, 1805, 1807, 1808, 1808, 1809, 1809, 1810, 1810, 1811, 1813, 1813, 1814, 1815, 1815, 1815, 1821, 1821, 1821, 1821, 1822, 1823, 1825, 1825, 1826, 1826, 1827, 1829, 1830, 1832, 1835, 1836, 1836, 1837, 1837, 1838, 1838, 1842, 1844, 1846, 1847, 1847, 1847, 1848, 1848, 1848, 1848, 1848, 1850, 1851, 1851, 1852, 1855, 1855, 1855, 1856, 1856, 1857, 1858, 1859, 1859, 1859, 1859, 1859, 1860, 1860, 1860, 1861, 1861, 1863, 1863, 1864, 1864, 1865, 1865, 1866, 1867, 1867, 1867, 1868, 1869, 1870, 1872, 1872, 1872, 1873, 1876, 1877, 1879, 1882, 1882, 1883, 1884, 1884, 1886, 1888, 1889, 1890, 1891, 1892, 1892, 1893, 1893, 1894, 1896, 1898, 1898, 1898, 1899, 1899, 1900, 1900, 1901, 1902, 1903, 1904, 1905, 1905, 1905, 1906, 1906, 1907, 1908, 1908, 1911, 1911, 1913, 1913, 1914, 1915, 1917, 1918, 1918, 1920, 1922, 1924, 1925, 1925, 1927, 1927, 1928, 1929, 1930, 1931, 1932, 1932, 1934, 1934, 1935, 1936, 1936, 1938, 1938, 1938, 1939, 1939, 1940, 1940, 1940, 1942, 1942, 1943, 1943, 1945, 1950, 1950, 1950, 1951, 1951, 1952, 1953, 1953, 1953, 1953, 1956, 1957, 1957, 1958, 1960, 1962, 1962, 1963, 1964, 1965, 1966, 1967, 1967, 1968, 1969, 1971, 1971, 1972, 1974, 1975, 1977, 1978, 1979, 1981, 1981, 1982, 1983, 1983, 1984, 1984, 1987, 1987, 1987, 1989, 1991, 1992, 1992, 1993, 1994, 1996, 1996, 1996, 1997, 1998, 2000, 2001, 2001, 2002, 2005, 2005, 2006, 2008, 2009, 2010, 2011, 2011, 2012, 2015, 2016, 2017, 2017, 2018, 2022, 2022, 2023, 2023, 2028, 2030, 2030, 2032, 2033, 2034, 2035, 2036, 2037, 2039, 2040, 2040, 2041, 2043, 2043, 2044, 2046, 2047, 2047, 2049, 2049, 2051, 2051, 2053, 2056, 2058, 2061, 2062, 2063, 2063, 2063, 2064, 2064, 2065, 2065, 2068, 2068, 2069, 2072, 2075, 2076, 2077, 2077, 2078, 2079, 2080, 2081, 2082, 2084, 2085, 2085, 2088, 2088, 2089, 2089, 2090, 2090, 2090, 2093, 2094, 2095, 2096, 2097, 2097, 2099, 2100, 2101, 2101, 2102, 2103, 2105, 2108, 2108, 2111, 2113, 2114, 2116, 2116, 2117, 2118, 2120, 2123, 2125, 2126, 2127, 2128, 2130, 2130, 2130, 2133, 2134, 2134, 2135, 2137, 2138, 2139, 2141, 2143, 2143, 2145, 2147, 2147, 2148, 2153, 2153, 2153, 2156, 2158, 2159, 2159, 2160, 2160, 2161, 2163, 2164, 2165, 2166, 2166, 2168, 2169, 2170, 2171, 2172, 2173, 2175, 2176, 2180, 2181, 2182, 2182, 2183, 2184, 2184, 2186, 2186, 2186, 2186, 2187, 2187, 2187, 2189, 2189, 2190, 2191, 2192, 2193, 2194, 2194, 2196, 2197, 2199, 2199, 2200, 2200, 2203, 2203, 2205, 2205, 2205, 2207, 2207, 2209, 2209, 2210, 2211, 2218, 2218, 2218, 2219, 2220, 2221, 2221, 2222, 2223, 2223, 2224, 2227, 2228, 2230, 2231, 2232, 2234, 2234, 2234, 2234, 2236, 2238, 2238, 2239, 2239, 2239, 2240, 2241, 2241, 2241, 2242, 2242, 2242, 2242, 2242, 2246, 2246, 2248, 2249, 2251, 2251, 2252, 2254, 2257, 2261, 2261, 2262, 2262, 2264, 2265, 2266, 2267, 2269, 2270, 2272, 2273, 2273, 2274, 2274, 2277, 2277, 2279, 2281, 2281, 2283, 2283, 2284, 2284, 2285, 2286, 2286, 2287, 2288, 2288, 2289, 2290, 2290, 2290, 2292, 2292, 2292, 2293, 2293, 2294, 2294, 2295, 2298, 2299, 2299, 2299, 2301, 2301, 2301, 2305, 2309, 2309, 2311, 2311, 2312, 2312, 2316, 2317, 2318, 2319, 2319, 2319, 2320, 2321, 2322, 2323, 2323, 2323, 2324, 2326, 2327, 2327, 2332, 2332, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2342, 2342, 2342, 2343, 2344, 2345, 2345, 2346, 2348, 2350, 2352, 2353, 2355, 2355, 2355, 2358, 2359, 2360, 2360, 2360, 2364, 2364, 2364, 2365, 2365, 2366, 2368, 2370, 2370, 2371, 2371, 2371, 2373, 2373, 2374, 2376, 2376, 2378, 2378, 2379, 2379, 2381, 2381, 2382, 2382, 2383, 2383, 2387, 2387, 2388, 2390, 2396, 2398, 2400, 2401, 2403, 2403, 2407, 2408, 2409, 2411, 2413, 2413, 2413, 2415, 2415, 2417, 2418, 2418, 2418, 2419, 2421, 2421, 2422, 2424, 2425, 2427, 2427, 2430, 2430, 2430, 2431, 2432, 2432, 2435, 2436, 2439, 2439, 2441, 2442, 2442, 2444, 2445, 2446, 2448, 2448, 2450, 2450, 2451, 2451, 2452, 2454, 2457, 2458, 2459, 2459, 2459, 2460, 2460, 2461, 2464, 2464, 2464, 2464, 2464, 2468, 2469, 2472, 2473, 2473, 2473, 2474, 2475, 2476, 2476, 2477, 2478, 2479, 2479, 2480, 2481, 2483, 2483, 2485, 2485, 2487, 2487, 2489, 2489, 2490, 2492, 2492, 2493, 2493, 2493, 2494, 2495, 2498, 2498, 2498, 2498, 2501, 2501, 2502, 2503, 2504, 2507, 2507, 2507, 2508, 2510, 2511, 2511, 2512, 2513, 2515, 2516, 2519, 2519, 2522, 2522, 2523, 2523, 2523, 2525, 2527, 2527, 2528, 2528, 2530, 2531, 2531, 2533, 2533, 2534, 2535, 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9611, 9612, 9613, 9613, 9614, 9615, 9615, 9615, 9615, 9616, 9617, 9618, 9619, 9619, 9620, 9620, 9623, 9623, 9623, 9624, 9626, 9626, 9627, 9627, 9627, 9628, 9629, 9631, 9632, 9635, 9638, 9638, 9639, 9640, 9641, 9643, 9645, 9647, 9647, 9647, 9649, 9652, 9653, 9653, 9653, 9653, 9653, 9653, 9654, 9654, 9654, 9655, 9655, 9659, 9664, 9666, 9666, 9668, 9670, 9671, 9671, 9673, 9674, 9674, 9674, 9674, 9675, 9676, 9677, 9677, 9679, 9679, 9681, 9682, 9683, 9684, 9686, 9687, 9687, 9688, 9689, 9690, 9690, 9691, 9692, 9693, 9695, 9696, 9696, 9696, 9697, 9698, 9700, 9702, 9702, 9703, 9704, 9705, 9705, 9706, 9706, 9707, 9707, 9707, 9708, 9709, 9710, 9711, 9711, 9713, 9714, 9715, 9717, 9719, 9720, 9723, 9724, 9724, 9724, 9725, 9726, 9728, 9728, 9729, 9729, 9730, 9731, 9731, 9731, 9735, 9736, 9736, 9739, 9741, 9741, 9741, 9743, 9744, 9745, 9745, 9746, 9748, 9751, 9752, 9753, 9755, 9757, 9758, 9760, 9761, 9762, 9763, 9765, 9766, 9767, 9768, 9768, 9770, 9770, 9771, 9771, 9774, 9775, 9775, 9776, 9778, 9779, 9780, 9782, 9784, 9786, 9787, 9787, 9788, 9788, 9790, 9790, 9791, 9793, 9794, 9798, 9798, 9799, 9800, 9800, 9800, 9802, 9803, 9806, 9806, 9808, 9808, 9810, 9811, 9812, 9813, 9814, 9815, 9817, 9822, 9824, 9824, 9824, 9827, 9834, 9834, 9835, 9835, 9835, 9836, 9837, 9838, 9838, 9838, 9839, 9842, 9842, 9842, 9843, 9843, 9843, 9844, 9845, 9847, 9848, 9849, 9849, 9849, 9849, 9850, 9853, 9856, 9857, 9857, 9857, 9860, 9860, 9861, 9862, 9865, 9866, 9866, 9867, 9868, 9869, 9870, 9870, 9872, 9872, 9873, 9873, 9874, 9874, 9876, 9876, 9876, 9877, 9879, 9879, 9880, 9880, 9881, 9881, 9884, 9886, 9887, 9888, 9891, 9892, 9892, 9896, 9897, 9898, 9899, 9900, 9900, 9903, 9904, 9905, 9905, 9905, 9906, 9906, 9906, 9908, 9908, 9910, 9911, 9913, 9914, 9915, 9915, 9915, 9916, 9917, 9923, 9924, 9925, 9925, 9926, 9926, 9927, 9928, 9928, 9928, 9928, 9931, 9931, 9931, 9931, 9933, 9933, 9934, 9934, 9936, 9936, 9937, 9939, 9939, 9944, 9945, 9945, 9948, 9949, 9950, 9952, 9952, 9952, 9956, 9957, 9958, 9958, 9959, 9962, 9963, 9965, 9967, 9967, 9968, 9969, 9969, 9969, 9970, 9970, 9973, 9975, 9976, 9976, 9977, 9977, 9978, 9980, 9980, 9982, 9985, 9990, 9990, 9991, 9995, 9996, 9997, 9997, 9998]
## Popcorn Hack 2
- Using bubble sort, make multiple strings that sort alphabetically.
```python
def bubble_sort(strings):
n = len(strings)
for i in range(n):
for j in range(0, n-i-1):
# Compare adjacent strings and swap if they are in the wrong order
if strings[j] > strings[j+1]:
strings[j], strings[j+1] = strings[j+1], strings[j]
# Example list of strings
string_list = ["banana", "apple", "orange", "grape", "pizza"]
# Sort the list using bubble sort
bubble_sort(string_list)
# Print the sorted list
print("Sorted List:", string_list)
```
Sorted List: ['apple', 'banana', 'grape', 'orange', 'pizza']
## 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, 3, 4, 5, 5, 7, 8, 8, 9, 9, 10, 11, 11, 13, 13, 14, 15, 15, 17, 17, 17, 19, 19, 19, 21, 22, 22, 23, 23, 24, 25, 25, 25, 26, 26, 27, 27, 28, 28, 29, 30, 30, 30, 31, 32, 33, 36, 36, 36, 37, 37, 38, 38, 40, 41, 41, 42, 43, 44, 44, 46, 46, 47, 47, 48, 49, 49, 50, 52, 52, 53, 54, 54, 57, 58, 58, 58, 59, 61, 63, 65, 66, 66, 67, 71, 71, 72, 74, 74, 77, 77, 77, 78, 78, 79, 80, 81, 81, 82, 83, 83, 84, 85, 85, 86, 86, 86, 88, 88, 88, 89, 90, 92, 96, 98, 98, 99, 101, 102, 102, 102, 102, 103, 105, 106, 107, 108, 108, 110, 111, 111, 111, 115, 116, 117, 118, 121, 122, 122, 122, 123, 125, 127, 128, 128, 128, 128, 129, 129, 129, 130, 130, 131, 131, 134, 134, 135, 138, 138, 138, 138, 139, 140, 141, 142, 142, 146, 147, 148, 151, 154, 155, 156, 157, 158, 162, 163, 164, 165, 165, 166, 166, 167, 169, 170, 174, 176, 177, 177, 177, 177, 179, 179, 181, 181, 182, 182, 183, 184, 185, 186, 187, 188, 189, 190, 190, 192, 192, 195, 195, 196, 196, 197, 200, 203, 204, 204, 204, 204, 205, 206, 206, 207, 208, 210, 210, 210, 210, 211, 211, 212, 215, 217, 218, 219, 219, 219, 222, 223, 223, 224, 225, 226, 231, 233, 235, 235, 235, 235, 237, 238, 240, 240, 240, 243, 245, 245, 247, 247, 248, 249, 250, 250, 251, 252, 254, 255, 259, 260, 260, 261, 261, 262, 263, 263, 264, 264, 265, 265, 266, 266, 266, 266, 267, 267, 269, 269, 271, 272, 272, 273, 275, 276, 276, 278, 279, 280, 280, 283, 283, 284, 284, 284, 284, 288, 290, 290, 293, 294, 295, 296, 297, 299, 300, 300, 301, 305, 305, 305, 306, 306, 307, 308, 311, 311, 312, 312, 314, 317, 317, 319, 320, 321, 321, 321, 324, 328, 328, 331, 333, 335, 336, 337, 338, 339, 340, 341, 341, 341, 341, 341, 341, 342, 342, 342, 342, 344, 346, 346, 346, 347, 348, 348, 348, 350, 353, 355, 355, 355, 356, 357, 357, 358, 359, 359, 359, 359, 360, 361, 361, 361, 363, 365, 367, 369, 374, 374, 376, 378, 380, 382, 383, 385, 387, 389, 390, 390, 392, 392, 392, 395, 395, 396, 397, 398, 399, 399, 401, 402, 406, 406, 407, 408, 411, 412, 413, 414, 415, 419, 419, 420, 422, 423, 425, 426, 427, 428, 428, 428, 430, 432, 434, 434, 434, 435, 435, 436, 438, 439, 440, 441, 442, 442, 443, 445, 446, 446, 446, 446, 447, 448, 450, 451, 451, 452, 452, 452, 452, 453, 454, 456, 456, 457, 457, 458, 461, 461, 462, 463, 464, 465, 468, 472, 473, 477, 482, 482, 482, 484, 484, 485, 487, 489, 490, 490, 491, 491, 492, 494, 494, 496, 496, 497, 497, 498, 498, 499, 501, 502, 502, 502, 502, 502, 503, 506, 508, 509, 510, 512, 512, 512, 516, 516, 516, 518, 518, 518, 522, 522, 523, 523, 523, 524, 525, 526, 527, 528, 529, 529, 529, 530, 530, 531, 531, 532, 532, 533, 534, 534, 538, 540, 541, 546, 546, 547, 547, 548, 548, 549, 549, 551, 552, 553, 553, 554, 554, 557, 557, 557, 558, 558, 559, 561, 561, 562, 563, 564, 565, 566, 566, 569, 570, 571, 571, 572, 573, 574, 575, 575, 576, 576, 578, 579, 579, 580, 581, 581, 582, 583, 584, 584, 585, 588, 590, 590, 591, 591, 591, 592, 592, 594, 595, 597, 597, 597, 597, 599, 599, 600, 602, 604, 605, 607, 607, 607, 608, 609, 611, 612, 612, 613, 616, 617, 618, 619, 622, 622, 623, 624, 625, 627, 630, 630, 630, 630, 630, 631, 631, 632, 633, 633, 637, 637, 638, 640, 642, 644, 645, 646, 648, 649, 650, 650, 651, 651, 652, 653, 657, 657, 658, 658, 658, 659, 660, 662, 664, 671, 671, 671, 671, 671, 672, 672, 672, 673, 675, 676, 678, 678, 678, 679, 679, 680, 682, 687, 688, 689, 690, 691, 692, 695, 696, 698, 700, 703, 704, 704, 705, 706, 707, 708, 708, 709, 710, 710, 711, 712, 713, 714, 716, 718, 720, 721, 721, 723, 723, 723, 724, 725, 727, 730, 733, 737, 743, 743, 747, 748, 748, 749, 750, 751, 755, 755, 758, 758, 758, 759, 759, 762, 765, 765, 767, 768, 771, 772, 773, 774, 774, 775, 778, 779, 779, 781, 781, 782, 785, 785, 786, 788, 789, 791, 791, 792, 794, 794, 795, 796, 799, 799, 801, 801, 803, 804, 805, 805, 808, 808, 809, 809, 809, 809, 809, 810, 810, 810, 810, 811, 811, 812, 812, 813, 813, 814, 814, 814, 816, 817, 818, 818, 819, 819, 819, 820, 821, 822, 822, 824, 825, 827, 829, 830, 830, 831, 832, 832, 833, 834, 835, 836, 837, 839, 839, 840, 841, 843, 845, 851, 852, 853, 855, 856, 857, 857, 857, 859, 861, 861, 861, 864, 865, 866, 866, 866, 869, 869, 869, 874, 874, 876, 878, 878, 880, 882, 886, 888, 888, 890, 891, 893, 893, 894, 895, 895, 897, 898, 898, 898, 900, 900, 901, 903, 904, 905, 905, 907, 910, 912, 913, 914, 915, 915, 917, 918, 919, 919, 919, 919, 919, 921, 923, 923, 924, 924, 924, 926, 926, 927, 929, 930, 931, 931, 933, 935, 936, 938, 939, 942, 943, 943, 944, 944, 945, 945, 947, 948, 948, 948, 949, 950, 951, 952, 953, 959, 963, 965, 966, 969, 969, 971, 973, 974, 975, 976, 979, 979, 981, 981, 981, 982, 982, 983, 983, 985, 985, 986, 988, 988, 990, 990, 991, 994, 996, 996, 997, 997, 998, 999, 1001, 1001, 1002, 1003, 1005, 1007, 1010, 1011, 1012, 1014, 1016, 1019, 1021, 1021, 1022, 1025, 1025, 1026, 1026, 1027, 1028, 1028, 1030, 1031, 1031, 1032, 1033, 1034, 1034, 1035, 1035, 1035, 1035, 1035, 1037, 1037, 1039, 1040, 1040, 1043, 1044, 1045, 1045, 1046, 1047, 1047, 1050, 1051, 1054, 1054, 1055, 1056, 1057, 1057, 1058, 1058, 1058, 1060, 1061, 1061, 1062, 1064, 1064, 1065, 1065, 1065, 1067, 1068, 1069, 1069, 1069, 1069, 1070, 1071, 1072, 1073, 1073, 1074, 1075, 1075, 1076, 1076, 1077, 1078, 1079, 1079, 1080, 1080, 1081, 1083, 1085, 1085, 1086, 1086, 1087, 1088, 1090, 1090, 1094, 1094, 1095, 1098, 1099, 1101, 1101, 1102, 1103, 1106, 1107, 1108, 1108, 1109, 1109, 1110, 1110, 1110, 1110, 1112, 1112, 1114, 1115, 1116, 1117, 1117, 1118, 1118, 1120, 1122, 1124, 1124, 1124, 1126, 1126, 1128, 1129, 1130, 1132, 1132, 1133, 1133, 1134, 1134, 1135, 1137, 1137, 1138, 1140, 1142, 1142, 1144, 1144, 1144, 1147, 1149, 1149, 1150, 1155, 1155, 1156, 1157, 1157, 1159, 1160, 1163, 1163, 1164, 1164, 1166, 1166, 1166, 1169, 1171, 1172, 1172, 1173, 1173, 1176, 1178, 1179, 1179, 1183, 1183, 1183, 1183, 1184, 1185, 1187, 1187, 1187, 1188, 1188, 1189, 1189, 1190, 1192, 1193, 1194, 1194, 1195, 1195, 1197, 1198, 1198, 1200, 1201, 1204, 1205, 1206, 1207, 1208, 1209, 1209, 1209, 1211, 1212, 1212, 1213, 1213, 1214, 1216, 1218, 1220, 1220, 1221, 1224, 1225, 1226, 1226, 1227, 1227, 1227, 1227, 1231, 1233, 1234, 1235, 1235, 1235, 1236, 1237, 1241, 1241, 1241, 1243, 1247, 1248, 1248, 1248, 1249, 1250, 1251, 1255, 1256, 1258, 1259, 1259, 1259, 1259, 1260, 1263, 1266, 1266, 1267, 1267, 1268, 1268, 1269, 1272, 1272, 1274, 1275, 1277, 1280, 1281, 1285, 1287, 1288, 1288, 1288, 1292, 1293, 1296, 1296, 1296, 1298, 1302, 1302, 1302, 1303, 1303, 1303, 1304, 1306, 1309, 1312, 1316, 1317, 1318, 1322, 1322, 1322, 1323, 1324, 1324, 1324, 1325, 1325, 1325, 1326, 1328, 1328, 1329, 1329, 1331, 1335, 1337, 1339, 1340, 1342, 1342, 1344, 1345, 1346, 1347, 1348, 1349, 1351, 1352, 1354, 1355, 1355, 1356, 1356, 1358, 1359, 1359, 1360, 1361, 1363, 1363, 1364, 1364, 1365, 1365, 1367, 1368, 1369, 1370, 1371, 1371, 1372, 1373, 1373, 1375, 1375, 1377, 1378, 1379, 1381, 1381, 1382, 1384, 1386, 1387, 1389, 1390, 1391, 1391, 1396, 1398, 1398, 1398, 1399, 1404, 1405, 1406, 1409, 1409, 1409, 1409, 1413, 1414, 1414, 1415, 1415, 1417, 1417, 1419, 1420, 1421, 1421, 1422, 1423, 1424, 1425, 1425, 1426, 1426, 1427, 1427, 1431, 1432, 1433, 1433, 1437, 1438, 1438, 1438, 1438, 1440, 1442, 1443, 1443, 1444, 1444, 1445, 1445, 1446, 1448, 1448, 1449, 1449, 1450, 1451, 1453, 1453, 1453, 1453, 1454, 1455, 1456, 1456, 1457, 1457, 1457, 1457, 1458, 1459, 1459, 1459, 1459, 1460, 1462, 1463, 1463, 1465, 1465, 1465, 1465, 1466, 1467, 1469, 1470, 1470, 1472, 1472, 1473, 1473, 1473, 1474, 1474, 1474, 1474, 1475, 1475, 1475, 1483, 1485, 1485, 1486, 1486, 1486, 1487, 1488, 1488, 1489, 1490, 1490, 1491, 1491, 1491, 1493, 1496, 1497, 1497, 1497, 1497, 1499, 1500, 1500, 1502, 1502, 1502, 1502, 1503, 1507, 1508, 1509, 1509, 1512, 1512, 1513, 1513, 1514, 1516, 1517, 1518, 1519, 1520, 1521, 1523, 1524, 1526, 1527, 1528, 1528, 1531, 1531, 1533, 1533, 1535, 1536, 1536, 1536, 1537, 1538, 1538, 1539, 1540, 1541, 1542, 1543, 1543, 1543, 1544, 1544, 1545, 1549, 1549, 1549, 1550, 1551, 1552, 1553, 1554, 1554, 1554, 1556, 1556, 1559, 1560, 1561, 1561, 1562, 1563, 1563, 1566, 1567, 1568, 1568, 1568, 1569, 1571, 1572, 1573, 1573, 1573, 1575, 1577, 1579, 1583, 1583, 1583, 1584, 1588, 1590, 1591, 1591, 1591, 1593, 1593, 1593, 1599, 1600, 1602, 1602, 1605, 1606, 1606, 1608, 1609, 1612, 1615, 1615, 1615, 1620, 1622, 1623, 1624, 1625, 1625, 1626, 1626, 1627, 1628, 1630, 1630, 1630, 1630, 1631, 1631, 1633, 1635, 1635, 1635, 1637, 1637, 1638, 1639, 1639, 1641, 1642, 1644, 1645, 1646, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1652, 1653, 1654, 1655, 1656, 1657, 1657, 1658, 1659, 1659, 1659, 1661, 1662, 1663, 1663, 1663, 1663, 1663, 1664, 1665, 1666, 1666, 1666, 1666, 1667, 1668, 1668, 1668, 1671, 1672, 1673, 1675, 1676, 1677, 1678, 1679, 1681, 1681, 1682, 1683, 1683, 1684, 1684, 1684, 1685, 1687, 1687, 1688, 1690, 1692, 1692, 1693, 1693, 1693, 1694, 1694, 1695, 1696, 1696, 1701, 1703, 1707, 1708, 1708, 1709, 1710, 1711, 1711, 1712, 1712, 1713, 1714, 1714, 1716, 1717, 1717, 1718, 1719, 1719, 1720, 1721, 1722, 1722, 1725, 1725, 1725, 1725, 1726, 1726, 1726, 1728, 1728, 1729, 1729, 1730, 1730, 1731, 1732, 1733, 1735, 1736, 1739, 1740, 1740, 1741, 1741, 1742, 1742, 1744, 1744, 1745, 1745, 1746, 1749, 1750, 1750, 1751, 1753, 1754, 1754, 1754, 1760, 1762, 1763, 1763, 1763, 1769, 1770, 1771, 1771, 1771, 1772, 1773, 1776, 1777, 1783, 1783, 1784, 1787, 1789, 1790, 1791, 1792, 1793, 1794, 1797, 1797, 1798, 1798, 1799, 1799, 1800, 1801, 1802, 1802, 1804, 1806, 1806, 1807, 1807, 1808, 1809, 1809, 1810, 1810, 1811, 1812, 1813, 1813, 1815, 1816, 1817, 1817, 1818, 1819, 1820, 1820, 1822, 1822, 1825, 1827, 1827, 1828, 1831, 1833, 1834, 1834, 1836, 1837, 1838, 1838, 1839, 1839, 1840, 1840, 1842, 1843, 1844, 1846, 1850, 1850, 1851, 1851, 1852, 1853, 1853, 1853, 1854, 1854, 1856, 1858, 1862, 1865, 1866, 1867, 1869, 1870, 1872, 1873, 1873, 1874, 1875, 1877, 1878, 1879, 1881, 1882, 1882, 1883, 1883, 1884, 1884, 1886, 1887, 1889, 1889, 1890, 1890, 1891, 1891, 1892, 1892, 1893, 1894, 1896, 1896, 1896, 1897, 1897, 1897, 1898, 1902, 1903, 1904, 1904, 1906, 1907, 1907, 1909, 1909, 1910, 1912, 1913, 1913, 1914, 1914, 1916, 1917, 1918, 1918, 1919, 1919, 1920, 1920, 1921, 1921, 1921, 1921, 1922, 1924, 1924, 1925, 1928, 1928, 1929, 1932, 1932, 1933, 1934, 1934, 1935, 1935, 1936, 1936, 1936, 1937, 1937, 1938, 1938, 1939, 1939, 1940, 1940, 1941, 1943, 1943, 1945, 1945, 1945, 1946, 1948, 1949, 1950, 1950, 1951, 1951, 1952, 1952, 1953, 1956, 1957, 1957, 1958, 1960, 1962, 1962, 1964, 1964, 1964, 1965, 1966, 1968, 1968, 1969, 1971, 1971, 1971, 1972, 1974, 1976, 1977, 1977, 1978, 1982, 1983, 1983, 1984, 1984, 1985, 1986, 1987, 1988, 1990, 1990, 1991, 1991, 1992, 1992, 1992, 1994, 1997, 1997, 1998, 2001, 2002, 2003, 2004, 2004, 2006, 2006, 2008, 2009, 2009, 2013, 2015, 2016, 2016, 2018, 2019, 2019, 2024, 2027, 2028, 2029, 2030, 2034, 2035, 2035, 2036, 2038, 2039, 2042, 2045, 2045, 2045, 2046, 2046, 2047, 2048, 2048, 2050, 2050, 2054, 2055, 2055, 2057, 2057, 2058, 2059, 2059, 2059, 2062, 2065, 2065, 2066, 2066, 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## Homework Hacks
# Hack 1
- Create a random decision maker that choses between 2 string options.
```python
#Enter code here
import random
x = random.randint(0,1)
string_1 = " this is string #1"
string_2 = " this is string #2"
if x == 0:
print(string_1)
else:
print(string_2)
```
this is string #2
# 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(n):
return (n * (n + 1)) // 2
n = 99999999
print(calculate_sum(n))
```
4999999950000000