Add more python solutions
Added python solutions for problems 11, 12, 13, 14, 15
This commit is contained in:
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01cae6fff0
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GPG Key ID:
6FE25B4A3EE16FDA
@ -10,7 +10,7 @@ def max_prime_factor(num):
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return num
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if num % 2 == 0:
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return max_prime_factor(num / 2)
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return max_prime_factor(num // 2)
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else:
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limit = math.floor(math.sqrt(num)) + 1
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@ -18,7 +18,7 @@ def max_prime_factor(num):
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for i in range(3, limit, 2):
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if num % i == 0:
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if is_prime(i):
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return max_prime_factor(num / i)
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return max_prime_factor(num // i)
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def main():
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start = default_timer()
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@ -28,7 +28,7 @@ def main():
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end = default_timer()
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print('Project Euler, Problem 3')
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print('Answer: {}'.format(int(res)))
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print('Answer: {}'.format(res))
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print('Elapsed time: {:.9f} seconds'.format(end - start))
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@ -10,7 +10,7 @@ def is_palindrome(num, base):
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while tmp > 0:
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reverse = reverse * base
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reverse = reverse + tmp % base
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tmp = int(tmp / base)
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tmp = tmp // base
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if num == reverse:
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return 1
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@ -14,7 +14,7 @@ def main():
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end = default_timer()
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print('Project Euler, Problem 5')
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print('Answer: {}'.format(int(res)))
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print('Answer: {}'.format(res))
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print('Elapsed time: {:.9f} seconds'.format(end - start))
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129
Python/p011.py
Normal file
129
Python/p011.py
Normal file
@ -0,0 +1,129 @@
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#!/usr/bin/python3
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from timeit import default_timer
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def main():
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start = default_timer()
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grid = [[8, 2, 22, 97, 38, 15, 0, 40, 0, 75, 4, 5, 7, 78, 52, 12, 50, 77, 91, 8],
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[49, 49, 99, 40, 17, 81, 18, 57, 60, 87, 17, 40, 98, 43, 69, 48, 4, 56, 62, 0],
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[81, 49, 31, 73, 55, 79, 14, 29, 93, 71, 40, 67, 53, 88, 30, 3, 49, 13, 36, 65],
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[52, 70, 95, 23, 4, 60, 11, 42, 69, 24, 68, 56, 1, 32, 56, 71, 37, 2, 36, 91],
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[22, 31, 16, 71, 51, 67, 63, 89, 41, 92, 36, 54, 22, 40, 40, 28, 66, 33, 13, 80],
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[24, 47, 32, 60, 99, 3, 45, 2, 44, 75, 33, 53, 78, 36, 84, 20, 35, 17, 12, 50],
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[32, 98, 81, 28, 64, 23, 67, 10, 26, 38, 40, 67, 59, 54, 70, 66, 18, 38, 64, 70],
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[67, 26, 20, 68, 2, 62, 12, 20, 95, 63, 94, 39, 63, 8, 40, 91, 66, 49, 94, 21],
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[24, 55, 58, 5, 66, 73, 99, 26, 97, 17, 78, 78, 96, 83, 14, 88, 34, 89, 63, 72],
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[21, 36, 23, 9, 75, 0, 76, 44, 20, 45, 35, 14, 0, 61, 33, 97, 34, 31, 33, 95],
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[78, 17, 53, 28, 22, 75, 31, 67, 15, 94, 3, 80, 4, 62, 16, 14, 9, 53, 56, 92],
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[16, 39, 5, 42, 96, 35, 31, 47, 55, 58, 88, 24, 0, 17, 54, 24, 36, 29, 85, 57],
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[86, 56, 0, 48, 35, 71, 89, 7, 5, 44, 44, 37, 44, 60, 21, 58, 51, 54, 17, 58],
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[19, 80, 81, 68, 5, 94, 47, 69, 28, 73, 92, 13, 86, 52, 17, 77, 4, 89, 55, 40],
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[4, 52, 8, 83, 97, 35, 99, 16, 7, 97, 57, 32, 16, 26, 26, 79, 33, 27, 98, 66],
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[88, 36, 68, 87, 57, 62, 20, 72, 3, 46, 33, 67, 46, 55, 12, 32, 63, 93, 53, 69],
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[4, 42, 16, 73, 38, 25, 39, 11, 24, 94, 72, 18, 8, 46, 29, 32, 40, 62, 76, 36],
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[20, 69, 36, 41, 72, 30, 23, 88, 34, 62, 99, 69, 82, 67, 59, 85, 74, 4, 36, 16],
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[20, 73, 35, 29, 78, 31, 90, 1, 74, 31, 49, 71, 48, 86, 81, 16, 23, 57, 5, 54],
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[1, 70, 54, 71, 83, 51, 54, 69, 16, 92, 33, 48, 61, 43, 52, 1, 89, 19, 67, 48]];
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max_ = 0
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for i in range(20):
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for j in range(20):
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prod = 1
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k = j
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while k < j + 4 and k < 20:
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prod = prod * grid[i][k]
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k = k + 1
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if k == j + 4 and prod > max_:
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max_ = prod
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prod = 1
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k = j
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while k > j - 4 and k >= 0:
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prod = prod * grid[i][k]
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k = k - 1
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if k == j - 4 and prod > max_:
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max_ = prod
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prod = 1
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k = i
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while k < i + 4 and k < 20:
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prod = prod * grid[k][j]
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k = k + 1
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if k == i + 4 and prod > max_:
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max_ = prod
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prod = 1
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k = i
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while k > i - 4 and k >= 0:
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prod = prod * grid[k][j]
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k = k - 1
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if k == i - 4 and prod > max_:
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max_ = prod
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prod = 1
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k = i
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w = j
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while k < i + 4 and w < j + 4 and k < 20 and w < 20:
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prod = prod * grid[k][w]
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k = k + 1
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w = w + 1
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if k == i + 4 and w == j + 4 and prod > max_:
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max_ = prod
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prod = 1
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k = i
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w = j
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while k < i + 4 and w > j - 4 and k < 20 and w >= 0:
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prod = prod * grid[k][w]
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k = k + 1
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w = w - 1
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if k == i + 4 and w == j - 4 and prod > max_:
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max_ = prod
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prod = 1
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k = i
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w = j
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while k > i - 4 and w < j + 4 and k >= 0 and w < 20:
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prod = prod * grid[k][w]
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k = k - 1
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w = w + 1
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if k == i - 4 and w == j + 4 and prod > max_:
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max_ = prod
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prod = 1
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k = i
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w = j
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while k > i - 4 and w > j - 4 and k >= 0 and w >= 0:
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prod = prod * grid[k][w]
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k = k - 1
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w = w - 1
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if k == i - 4 and w == j - 4 and prod > max_:
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max_ = prod
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end = default_timer()
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print('Project Euler, Problem 11')
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print('Answer: {}'.format(max_))
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print('Elapsed time: {:.9f} seconds'.format(end - start))
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if __name__ == '__main__':
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main()
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28
Python/p012.py
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28
Python/p012.py
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@ -0,0 +1,28 @@
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#!/usr/bin/python3
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from timeit import default_timer
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from projecteuler import count_divisors
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def main():
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start = default_timer()
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i = 0
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triang = 0
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finished = 0
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while not finished:
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i = i + 1
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triang = triang + i
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if count_divisors(triang) > 500:
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finished = 1
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end = default_timer()
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print('Project Euler, Problem 12')
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print('Answer: {}'.format(triang))
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print('Elapsed time: {:.9f} seconds'.format(end - start))
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if __name__ == '__main__':
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main()
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123
Python/p013.py
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123
Python/p013.py
Normal file
@ -0,0 +1,123 @@
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#!/usr/bin/python3
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import numpy as np
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from timeit import default_timer
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def main():
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start = default_timer()
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numbers = [37107287533902102798797998220837590246510135740250,
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46376937677490009712648124896970078050417018260538,
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74324986199524741059474233309513058123726617309629,
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91942213363574161572522430563301811072406154908250,
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23067588207539346171171980310421047513778063246676,
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89261670696623633820136378418383684178734361726757,
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28112879812849979408065481931592621691275889832738,
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44274228917432520321923589422876796487670272189318,
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47451445736001306439091167216856844588711603153276,
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70386486105843025439939619828917593665686757934951,
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62176457141856560629502157223196586755079324193331,
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64906352462741904929101432445813822663347944758178,
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92575867718337217661963751590579239728245598838407,
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58203565325359399008402633568948830189458628227828,
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80181199384826282014278194139940567587151170094390,
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35398664372827112653829987240784473053190104293586,
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86515506006295864861532075273371959191420517255829,
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71693888707715466499115593487603532921714970056938,
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54370070576826684624621495650076471787294438377604,
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53282654108756828443191190634694037855217779295145,
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36123272525000296071075082563815656710885258350721,
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45876576172410976447339110607218265236877223636045,
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17423706905851860660448207621209813287860733969412,
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81142660418086830619328460811191061556940512689692,
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51934325451728388641918047049293215058642563049483,
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62467221648435076201727918039944693004732956340691,
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15732444386908125794514089057706229429197107928209,
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55037687525678773091862540744969844508330393682126,
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18336384825330154686196124348767681297534375946515,
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80386287592878490201521685554828717201219257766954,
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78182833757993103614740356856449095527097864797581,
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16726320100436897842553539920931837441497806860984,
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48403098129077791799088218795327364475675590848030,
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87086987551392711854517078544161852424320693150332,
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59959406895756536782107074926966537676326235447210,
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69793950679652694742597709739166693763042633987085,
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41052684708299085211399427365734116182760315001271,
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65378607361501080857009149939512557028198746004375,
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35829035317434717326932123578154982629742552737307,
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94953759765105305946966067683156574377167401875275,
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88902802571733229619176668713819931811048770190271,
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25267680276078003013678680992525463401061632866526,
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36270218540497705585629946580636237993140746255962,
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24074486908231174977792365466257246923322810917141,
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91430288197103288597806669760892938638285025333403,
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34413065578016127815921815005561868836468420090470,
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23053081172816430487623791969842487255036638784583,
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11487696932154902810424020138335124462181441773470,
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63783299490636259666498587618221225225512486764533,
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67720186971698544312419572409913959008952310058822,
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95548255300263520781532296796249481641953868218774,
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76085327132285723110424803456124867697064507995236,
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37774242535411291684276865538926205024910326572967,
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23701913275725675285653248258265463092207058596522,
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29798860272258331913126375147341994889534765745501,
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18495701454879288984856827726077713721403798879715,
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38298203783031473527721580348144513491373226651381,
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34829543829199918180278916522431027392251122869539,
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40957953066405232632538044100059654939159879593635,
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29746152185502371307642255121183693803580388584903,
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41698116222072977186158236678424689157993532961922,
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62467957194401269043877107275048102390895523597457,
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23189706772547915061505504953922979530901129967519,
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86188088225875314529584099251203829009407770775672,
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11306739708304724483816533873502340845647058077308,
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82959174767140363198008187129011875491310547126581,
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97623331044818386269515456334926366572897563400500,
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42846280183517070527831839425882145521227251250327,
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55121603546981200581762165212827652751691296897789,
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32238195734329339946437501907836945765883352399886,
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75506164965184775180738168837861091527357929701337,
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62177842752192623401942399639168044983993173312731,
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32924185707147349566916674687634660915035914677504,
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99518671430235219628894890102423325116913619626622,
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73267460800591547471830798392868535206946944540724,
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76841822524674417161514036427982273348055556214818,
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97142617910342598647204516893989422179826088076852,
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87783646182799346313767754307809363333018982642090,
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10848802521674670883215120185883543223812876952786,
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71329612474782464538636993009049310363619763878039,
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62184073572399794223406235393808339651327408011116,
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66627891981488087797941876876144230030984490851411,
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60661826293682836764744779239180335110989069790714,
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85786944089552990653640447425576083659976645795096,
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66024396409905389607120198219976047599490197230297,
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64913982680032973156037120041377903785566085089252,
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16730939319872750275468906903707539413042652315011,
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94809377245048795150954100921645863754710598436791,
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78639167021187492431995700641917969777599028300699,
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15368713711936614952811305876380278410754449733078,
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40789923115535562561142322423255033685442488917353,
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44889911501440648020369068063960672322193204149535,
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41503128880339536053299340368006977710650566631954,
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81234880673210146739058568557934581403627822703280,
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82616570773948327592232845941706525094512325230608,
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22918802058777319719839450180888072429661980811197,
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77158542502016545090413245809786882778948721859617,
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72107838435069186155435662884062257473692284509516,
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20849603980134001723930671666823555245252804609722,
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53503534226472524250874054075591789781264330331690]
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numbers = np.array(numbers)
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sum_ = str(numbers.sum())
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end = default_timer()
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print('Project Euler, Problem 13')
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print('Answer: {}'.format(sum_[:10]))
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print('Elapsed time: {:.9f} seconds'.format(end - start))
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if __name__ == '__main__':
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main()
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42
Python/p014.py
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42
Python/p014.py
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#!/usr/bin/python3
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from numpy import zeros
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from timeit import default_timer
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collatz_found = zeros(1000000, dtype=int)
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def collatz_length(n):
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if n == 1:
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return 1
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if n < 1000000 and collatz_found[n]:
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return collatz_found[n]
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if n % 2 == 0:
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return 1 + collatz_length(n//2)
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else:
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return 1 + collatz_length(3*n+1)
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def main():
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start = default_timer()
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max_l = 0
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max_ = 0
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for i in range(1, 1000000):
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count = collatz_length(i)
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collatz_found[i] = count
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if count > max_l:
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max_l = count
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max_ = i
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end = default_timer()
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print('Project Euler, Problem 14')
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print('Answer: {}'.format(max_))
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print('Elapsed time: {:.9f} seconds'.format(end - start))
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if __name__ == '__main__':
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main()
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23
Python/p015.py
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23
Python/p015.py
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#!/usr/bin/python3
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from math import factorial
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from timeit import default_timer
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def main():
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start = default_timer()
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count = factorial(40)
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tmp = factorial(20)
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tmp = tmp * tmp
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count = count // tmp
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end = default_timer()
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print('Project Euler, Problem 15')
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print('Answer: {}'.format(count))
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print('Elapsed time: {:.9f} seconds'.format(end - start))
|
||||
|
||||
if __name__ == '__main__':
|
||||
main()
|
||||
@ -27,7 +27,7 @@ def gcd(a, b):
|
||||
return a
|
||||
|
||||
def lcm(a, b):
|
||||
return a * b / gcd(a, b)
|
||||
return a * b // gcd(a, b)
|
||||
|
||||
def lcmm(values, n):
|
||||
if n == 2:
|
||||
@ -58,3 +58,16 @@ def sieve(n):
|
||||
primes[j] = 0
|
||||
|
||||
return primes
|
||||
|
||||
def count_divisors(n):
|
||||
count = 0
|
||||
limit = math.floor(math.sqrt(n))
|
||||
|
||||
for i in range(1, limit):
|
||||
if n % i == 0:
|
||||
count = count + 2
|
||||
|
||||
if n == limit * limit:
|
||||
count = count - 1
|
||||
|
||||
return count
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user