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ProjectEuler59.py
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ProjectEuler59.py
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#!/usr/bin/env python
# coding:utf-8
"""
Project Euler Problem 50
素数41は6つの連続する素数の和として表せる:
41 = 2 + 3 + 5 + 7 + 11 + 13.
100未満の素数を連続する素数の和で表したときにこれが最長になる.
同様に, 連続する素数の和で1000未満の素数を表したときに最長になるのは953で21項を持つ.
100万未満の素数を連続する素数の和で表したときに最長になるのはどの素数か?
"""
te = [79, 59, 12, 2, 79, 35, 8, 28, 20, 2, 3, 68, 8, 9, 68, 45, 0, 12, 9, 67, 68, 4, 7, 5, 23, 27, 1, 21, 79, 85, 78, 79, 85, 71, 38, 10, 71, 27, 12, 2, 79, 6, 2, 8, 13, 9, 1, 13, 9, 8, 68, 19, 7, 1, 71, 56, 11, 21, 11, 68, 6, 3, 22, 2, 14, 0, 30, 79, 1, 31, 6, 23, 19, 10, 0, 73, 79, 44, 2, 79, 19, 6, 28, 68, 16, 6, 16, 15, 79, 35, 8, 11, 72, 71, 14, 10, 3, 79, 12, 2, 79, 19, 6, 28, 68, 32, 0, 0, 73, 79, 86, 71, 39, 1, 71, 24, 5, 20, 79, 13, 9, 79, 16, 15, 10, 68, 5, 10, 3, 14, 1, 10, 14, 1, 3, 71, 24, 13, 19, 7, 68, 32, 0, 0, 73, 79, 87, 71, 39, 1, 71, 12, 22, 2, 14, 16, 2, 11, 68, 2, 25, 1, 21, 22, 16, 15, 6, 10, 0, 79, 16, 15, 10, 22, 2, 79, 13, 20, 65, 68, 41, 0, 16, 15, 6, 10, 0, 79, 1, 31, 6, 23, 19, 28, 68, 19, 7, 5, 19, 79, 12, 2, 79, 0, 14, 11, 10, 64, 27, 68, 10, 14, 15, 2, 65, 68, 83, 79, 40, 14, 9, 1, 71, 6, 16, 20, 10, 8, 1, 79, 19, 6, 28, 68, 14, 1, 68, 15, 6, 9, 75, 79, 5, 9, 11, 68, 19, 7, 13, 20, 79, 8, 14, 9, 1, 71, 8, 13, 17, 10, 23, 71, 3, 13, 0, 7, 16, 71, 27, 11, 71, 10, 18, 2, 29, 29, 8, 1, 1, 73, 79, 81, 71, 59, 12, 2, 79, 8, 14, 8, 12, 19, 79, 23, 15, 6, 10, 2, 28, 68, 19, 7, 22, 8, 26, 3, 15, 79, 16, 15, 10, 68, 3, 14, 22, 12, 1, 1, 20, 28, 72, 71, 14, 10, 3, 79, 16, 15, 10, 68, 3, 14, 22, 12, 1, 1, 20, 28, 68, 4, 14, 10, 71, 1, 1, 17, 10, 22, 71, 10, 28, 19, 6, 10, 0, 26, 13, 20, 7, 68, 14, 27, 74, 71, 89, 68, 32, 0, 0, 71, 28, 1, 9, 27, 68, 45, 0, 12, 9, 79, 16, 15, 10, 68, 37, 14, 20, 19, 6, 23, 19, 79, 83, 71, 27, 11, 71, 27, 1, 11, 3, 68, 2, 25, 1, 21, 22, 11, 9, 10, 68, 6, 13, 11, 18, 27, 68, 19, 7, 1, 71, 3, 13, 0, 7, 16, 71, 28, 11, 71, 27, 12, 6, 27, 68, 2, 25, 1, 21, 22, 11, 9, 10, 68, 10, 6, 3, 15, 27, 68, 5, 10, 8, 14, 10, 18, 2, 79, 6, 2, 12, 5, 18, 28, 1, 71, 0, 2, 71, 7, 13, 20, 79, 16, 2, 28, 16, 14, 2, 11, 9, 22, 74, 71, 87, 68, 45, 0, 12, 9, 79, 12, 14, 2, 23, 2, 3, 2, 71, 24, 5, 20, 79, 10, 8, 27, 68, 19, 7, 1, 71, 3, 13, 0, 7, 16, 92, 79, 12, 2, 79, 19, 6, 28, 68, 8, 1, 8, 30, 79, 5, 71, 24, 13, 19, 1, 1, 20, 28, 68, 19, 0, 68, 19, 7, 1, 71, 3, 13, 0, 7, 16, 73, 79, 93, 71, 59, 12, 2, 79, 11, 9, 10, 68, 16, 7, 11, 71, 6, 23, 71, 27, 12, 2, 79, 16, 21, 26, 1, 71, 3, 13, 0, 7, 16, 75, 79, 19, 15, 0, 68, 0, 6, 18, 2, 28, 68,
11, 6, 3, 15, 27, 68, 19, 0, 68, 2, 25, 1, 21, 22, 11, 9, 10, 72, 71, 24, 5, 20, 79, 3, 8, 6, 10, 0, 79, 16, 8, 79, 7, 8, 2, 1, 71, 6, 10, 19, 0, 68, 19, 7, 1, 71, 24, 11, 21, 3, 0, 73, 79, 85, 87, 79, 38, 18, 27, 68, 6, 3, 16, 15, 0, 17, 0, 7, 68, 19, 7, 1, 71, 24, 11, 21, 3, 0, 71, 24, 5, 20, 79, 9, 6, 11, 1, 71, 27, 12, 21, 0, 17, 0, 7, 68, 15, 6, 9, 75, 79, 16, 15, 10, 68, 16, 0, 22, 11, 11, 68, 3, 6, 0, 9, 72, 16, 71, 29, 1, 4, 0, 3, 9, 6, 30, 2, 79, 12, 14, 2, 68, 16, 7, 1, 9, 79, 12, 2, 79, 7, 6, 2, 1, 73, 79, 85, 86, 79, 33, 17, 10, 10, 71, 6, 10, 71, 7, 13, 20, 79, 11, 16, 1, 68, 11, 14, 10, 3, 79, 5, 9, 11, 68, 6, 2, 11, 9, 8, 68, 15, 6, 23, 71, 0, 19, 9, 79, 20, 2, 0, 20, 11, 10, 72, 71, 7, 1, 71, 24, 5, 20, 79, 10, 8, 27, 68, 6, 12, 7, 2, 31, 16, 2, 11, 74, 71, 94, 86, 71, 45, 17, 19, 79, 16, 8, 79, 5, 11, 3, 68, 16, 7, 11, 71, 13, 1, 11, 6, 1, 17, 10, 0, 71, 7, 13, 10, 79, 5, 9, 11, 68, 6, 12, 7, 2, 31, 16, 2, 11, 68, 15, 6, 9, 75, 79, 12, 2, 79, 3, 6, 25, 1, 71, 27, 12, 2, 79, 22, 14, 8, 12, 19, 79, 16, 8, 79, 6, 2, 12, 11, 10, 10, 68, 4, 7, 13, 11, 11, 22, 2, 1, 68, 8, 9, 68, 32, 0, 0, 73, 79, 85, 84, 79, 48, 15, 10, 29, 71, 14, 22, 2, 79, 22, 2, 13, 11, 21, 1, 69, 71, 59, 12, 14, 28, 68, 14, 28, 68, 9, 0, 16, 71, 14, 68, 23, 7, 29, 20, 6, 7, 6, 3, 68, 5, 6, 22, 19, 7, 68, 21, 10, 23, 18, 3, 16, 14, 1, 3, 71, 9, 22, 8, 2, 68, 15, 26, 9, 6, 1, 68, 23, 14, 23, 20, 6, 11, 9, 79, 11, 21, 79, 20, 11, 14, 10, 75, 79, 16, 15, 6, 23, 71, 29, 1, 5, 6, 22, 19, 7, 68, 4, 0, 9, 2, 28, 68, 1, 29, 11, 10, 79, 35, 8, 11, 74, 86, 91, 68, 52, 0, 68, 19, 7, 1, 71, 56, 11, 21, 11, 68, 5, 10, 7, 6, 2, 1, 71, 7, 17, 10, 14, 10, 71, 14, 10, 3, 79, 8, 14, 25, 1, 3, 79, 12, 2, 29, 1, 71, 0, 10, 71, 10, 5, 21, 27, 12, 71, 14, 9, 8, 1, 3, 71, 26, 23, 73, 79, 44, 2, 79, 19, 6, 28, 68, 1, 26, 8, 11, 79, 11, 1, 79, 17, 9, 9, 5, 14, 3, 13, 9, 8, 68, 11, 0, 18, 2, 79, 5, 9, 11, 68, 1, 14, 13, 19, 7, 2, 18, 3, 10, 2, 28, 23, 73, 79, 37, 9, 11, 68, 16, 10, 68, 15, 14, 18, 2, 79, 23, 2, 10, 10, 71, 7, 13, 20, 79, 3, 11, 0, 22, 30, 67, 68, 19, 7, 1, 71, 8, 8, 8, 29, 29, 71, 0, 2, 71, 27, 12, 2, 79, 11, 9, 3, 29, 71, 60, 11, 9, 79, 11, 1, 79, 16, 15, 10, 68, 33, 14, 16, 15, 10, 22, 73]
import time
t1 = time.time()
def f(text):
text = str(text)
return list(map(ord, list(text)))
def xorf(inseq, passseq):
ret = []
l = len(passseq)
for i in range(len(inseq)):
ret.append(inseq[i] ^ passseq[i % l])
return ret
file = open("ProjectEuler59.txt", "w")
"""for a,b,c in itertools.product(range(9,127),range(9,127),range(9,127)):"""
for i in range(97, 123):
for j in range(97, 123):
for k in range(97, 123):
"""
print "".join([chr(x) for x in xorf(te,f("".join([chr(i),chr(j),chr(k)])))])
print "".join([chr(i),chr(j),chr(k)])
time.sleep(0)
"""
file.write(
"".join([chr(x) for x in xorf(te, f("".join([chr(i), chr(j), chr(k)])))]))
file.write("\n")
file.write("".join([chr(i), chr(j), chr(k)]))
file.write("\n\n")
file.close()
print("This script output a text file. -> ProjectEuler59.txt")
print(time.time() - t1, "Seconds")