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41.py
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# -*- coding:utf-8 -*-
'''
和为s的连续正数序列
小明很喜欢数学,有一天他在做数学作业时,要求计算出9~16的和,他马上就写出了正确答案是100。但是他并不满足于此,他在想究竟有多少种连续的正数序列的和为100(至少包括两个数)。没多久,他就得到另一组连续正数和为100的序列:18,19,20,21,22。现在把问题交给你,你能不能也很快的找出所有和为S的连续正数序列? Good Luck!
输出描述:
输出所有和为S的连续正数序列。序列内按照从小至大的顺序,序列间按照开始数字从小到大的顺序
'''
class Solution:
def FindContinuousSequence(self, tsum):
lowIndex = 1
highIndex = 2
res = []
while highIndex > lowIndex:
sum = int((highIndex + lowIndex) * (highIndex - lowIndex + 1) / 2)
if sum == tsum:
curSqr = range(lowIndex, highIndex+1)
res.append(curSqr)
lowIndex += 1
elif sum < tsum:
highIndex += 1
else:
lowIndex += 1
return res
s = Solution()
t = s.FindContinuousSequence(1)
print t