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March 13, 2020 14:31
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fibonacci jetbrains quest
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| import math | |
| def fib(n): | |
| F = [[1, 1], [1, 0]]; | |
| if (n == 0): | |
| return 0; | |
| power(F, n - 1); | |
| return F[0][0]; | |
| def multiply(F, M): | |
| x = F[0][0] * M[0][0] + F[0][1] * M[1][0]; | |
| y = F[0][0] * M[0][1] + F[0][1] * M[1][1]; | |
| z = F[1][0] * M[0][0] + F[1][1] * M[1][0]; | |
| w = F[1][0] * M[0][1] + F[1][1] * M[1][1]; | |
| F[0][0] = x; | |
| F[0][1] = y; | |
| F[1][0] = z; | |
| F[1][1] = w; | |
| def power(F, n): | |
| if( n == 0 or n == 1): | |
| return; | |
| M = [[1, 1], [1, 0]]; | |
| power(F, int(n / 2)); | |
| multiply(F, F); | |
| if (n % 2 != 0): | |
| multiply(F, M); | |
| def findFirstAndLastDigits(n, d): | |
| c = fib(n); | |
| f = c // 10 ** (int(math.log(c, 10)) - d + 1) | |
| l = c % pow(10, d); | |
| return f, l; | |
| print(findFirstAndLastDigits(50000000, 4)) | |
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