Created
December 20, 2011 17:19
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Project Euler 64
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| import math | |
| squares=[] | |
| for i in range (1,10000): | |
| squares.append(i*i) | |
| def CF_of_sqrt(n): | |
| # modified this from http://eli.thegreenplace.net/2009/06/19/project-euler-problem-66-and-continued-fractions/ | |
| # who got it from http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/cfINTRO.html#sqrtalgsalg | |
| if n in squares: | |
| return [int(math.sqrt(n))] | |
| ans = [] | |
| step1_num = 0 | |
| step1_denom = 1 | |
| while True: | |
| nextn = int((math.floor(math.sqrt(n)) + step1_num) / step1_denom) | |
| ans.append(int(nextn)) | |
| step2_num = step1_denom | |
| step2_denom = step1_num - step1_denom * nextn | |
| step3_denom = (n - step2_denom ** 2) / step2_num | |
| step3_num = -step2_denom | |
| if step3_denom == 1: | |
| ans.append(ans[0] * 2) | |
| break | |
| step1_num, step1_denom = step3_num, step3_denom | |
| return ans | |
| count = 0 | |
| for j in range (1,10000): | |
| if len(CF_of_sqrt(j))%2 != True: | |
| count +=1 | |
| print count |
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