Python實現求解最大子陣列問題
阿新 • • 發佈:2019-01-03
#! /usr/bin/env python
#coding=utf-8
def MaxCrossSubarray(a, low, mid, high):
left_sum=-65535
sum=0
for i in range(mid, low-1, -1):#遞減,實現mid至low!!!
sum=sum+a[i]
if sum>left_sum:
left_sum=sum
max_left=i
right_sum=-65535
sum=0
for j in range(mid +1, high+1):
sum=sum+a[j]
if sum>right_sum:
right_sum=sum
max_right=j
return (max_left, max_right, left_sum+right_sum)
def MaxSubarray(a, low, high):
if high==low:
return (low, high, a[low])
else:
mid=(low+high)/2
(left_low, left_high, left_sum)=MaxSubarray(a , low, mid)
(right_low, right_high, right_sum)=MaxSubarray(a, mid+1, high)
(cross_low, cross_high, cross_sum)=MaxCrossSubarray(a, low, mid, high)
if left_sum>=right_sum and left_sum>=cross_sum:
return (left_low, left_high, left_sum)
elif right_sum>=left_sum and right_sum>=cross_sum:
return (right_low, right_high, right_sum)
else:
return (cross_low, cross_high, cross_sum)
if __name__ == '__main__':
a=[13, -3, -25, 20, -3, -16, -23, 18, 20, -7, 12, -5, -22, 15, -4, 7]
max = MaxSubarray(a, 0, len(a)-1)
print max