O(n)
#!/usr/bin/python
'''file name: maxsum.py
--P75
--find maximum subarray sum, O(n)
--author: zevolo, 2012.05.11
'''
def find_max_sum(list):
now_max = list[0]
low = high = 0
right_max = 0
right_low = right_high = -1
for i in range(1, len(list)):
if right_low == -1 or right_max <= 0:
right_low = right_high = i
right_max = list[i]
else:
right_max += list[i]
right_high = i
if right_max > now_max:
low = right_low
high = right_high
now_max = right_max
#print "now max %d,%d" % (low, high)
return (low, high, now_max)
if __name__ == '__main__':
l = [1, -2, 3, 10, -4, 7, 2, -5]
print l
(low, high, sum) = find_max_sum(l)
out = l[low:high+1]
print (out, sum)