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博客园 - Dabay

[Leetcode][Python]56: Merge Intervals [Leetcode][Python]55: Jump Game [Leetcode][Python]54: Spiral Matrix [Leetcode][Python]53: Maximum Subarray [Leetcode][Python]52: N-Queens II [Leetcode][Python]51: N-Queens [Leetcode][Python]49: Anagrams [Leetcode][Python]48: Rotate Image [Leetcode][Python]47: Permutations II [Leetcode][Python]46: Permutations [Leetcode][Python]45: Jump Game II [Leetcode][Python]44:Wildcard Matching [Leetcode][Python]43: Multiply Strings [Leetcode][Python]42: Trapping Rain Water [Leetcode][Python]41: First Missing Positive [Leetcode][Python]40: Combination Sum II [Leetcode][Python]39: Combination Sum [Leetcode][Python]19: Remove Nth Node From End of List [Leetcode][Python]37: Sudoku Solver
[Leetcode][Python]50: Pow(x, n)
Dabay · 2015-03-27 · via 博客园 - Dabay
# -*- coding: utf8 -*-
'''
__author__ = 'dabay.wang@gmail.com'

50: Pow(x, n)
https://leetcode.com/problems/powx-n/

Implement pow(x, n).

=== Comments by Dabay===
技巧在于用x的平方来让n减半。
同时注意n为负数的情况,以及n为奇数的情况。
'''

class Solution:
# @param x, a float
# @param n, a integer
# @return a float
def pow(self, x, n):
if x == 0:
return 0
elif n < 0:
return 1.0 / self.pow(x, -n)
elif n == 0:
return 1
elif n == 1:
return x
elif n % 2:
return self.pow(x*x, n/2) * x
else:
return self.pow(x*x, n/2)

def main():
sol = Solution()
print sol.pow(0.00001, 2147483647)

if __name__ == "__main__":
import time
start = time.clock()
main()
print "%s sec" % (time.clock() - start)