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Diffstat (limited to 'AlgoDesignAndTechniqueEdxPython/sources/fibagain.py')
-rw-r--r-- | AlgoDesignAndTechniqueEdxPython/sources/fibagain.py | 44 |
1 files changed, 44 insertions, 0 deletions
diff --git a/AlgoDesignAndTechniqueEdxPython/sources/fibagain.py b/AlgoDesignAndTechniqueEdxPython/sources/fibagain.py new file mode 100644 index 0000000..2f2c839 --- /dev/null +++ b/AlgoDesignAndTechniqueEdxPython/sources/fibagain.py @@ -0,0 +1,44 @@ +# Uses python3 +import sys + +def getFib(n): + if (n <= 1): + return n + fibLst = [None] * (n + 1) + fibLst[0] = 0 + fibLst[1] = 1 + for j in range(2, n + 1): + fibLst[j] = fibLst[j - 1] + fibLst[j - 2] + return fibLst[n] + + +def getPisanoPeriod(m): + period = 2 + remainder1 = 1 + remainder2 = 1 + + for i in range(3, 6 * m + 1): + period = period + 1 + if (remainder2 == 1) & (remainder1 + remainder2 == m): + break + else: + tempHolder = remainder1 + remainder2 + remainder1 = remainder2 + if tempHolder >= m: + remainder2 = tempHolder - m + else: + remainder2 = tempHolder + + return period + + +def getFibNModM(n, m): + p = getPisanoPeriod(m) + return getFib(n % p) % m + +if __name__ == '__main__': + entryNumbers = sys.stdin.read() + tokens = entryNumbers.split() + n = int(tokens[0]) + m = int(tokens[1]) + print(getFibNModM(n, m))
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