刚开始想到用动态规划,每个数作为开始挨个算。代码如下,刚开始用python,代码有点不规范
def maxList(nums,data): max = 0 for i in range(0,nums): max1=0 j = i+1 k = 1 res = [0] * nums res[0] = data[i] while k<nums: if j==nums: j=0 if res[k-1]>0: res[k] = res[k-1] + data[j] else: res[k] = data[j] if res[k]>max1: max1=res[k] j+=1 k+=1 if max1>max: max=max1 return max结果超出时间限制,最简单的想法应该是数组如果循环的话,结果要么是从1到n的序列连续最大值,要么是数组的总和减去序列中间负数和的最大值,理解的话应该是选择最大和子序列的时候,把负数和最大的部分数排在一起。最大值和负数最大和都可以用动态规划来求,时间复杂度降到O(n)。
def maxList1(nums,data): max1 = 0 res = [0] * nums res[0] = data[0] for i in range(1,nums): if res[i-1]>0: res[i] = res[i-1]+data[i] else: res[i] = data[i] if res[i]>max1: max1 = res[i] min1 = 0 for i in range(1,nums): if res[i-1]<0: res[i] = res[i-1]+data[i] else: res[i] = data[i] if res[i]<min1: min1 = res[i] return max(max1,sum(data)-min1)