輸入一個整形數組,數組裏有正數也有負數。
數組中連續的一個或多個整數組成一個子數組,每一個子數組都有一個和。
求全部子數組的和的最大值。要求時間複雜度爲O(n)。數組
例如輸入的數組爲1, -2, 3, 10, -4, 7, 2, -5,和最大的子數組爲3, 10, -4, 7, 2,
所以輸出爲該子數組的和18。spa
#include<stdio.h> int subStrSum(int* s, int len) { int i = 1, curSum = s[0], maxSum = s[0]; while(i < len) { if(curSum > 0 &&curSum + s[i] > 0)//當前和爲負數或者加當前元素後爲負數,則不進行累加,而賦當前和爲當前元素 curSum += s[i]; else curSum = s[i]; i += 1; if(curSum > maxSum) maxSum = curSum; } return maxSum; } void main(){ int s[] = {-2,-2,-5,-2,-1,-6,-11,-7,-3}; int maxSum = subStrSum(s,9); printf("%d\n",maxSum); }
改進,輸出該子數組code
#include<stdio.h> typedef struct subStr{ int start; int length; int sum; }str; str subStrSum(int* s, int len) { str s1; int i = 1, curSum = s[0]; s1.start = 0; s1.length =1; s1.sum = s[0]; int length = 1, start = 0; while(i < len) { if(curSum > 0 &&curSum + s[i] > 0) { curSum += s[i]; length += 1; } else { curSum = s[i]; start = i; length = 1; } if(curSum > s1.sum) { s1.start = start; s1.length = length; s1.sum = curSum; } i += 1; } return s1; } void main(){ int s[] = {1,2,-5,2,1,6,-11,7,-3}; str str1 = subStrSum(s,9); int i ; for(i = 0; i < str1.length; i++) printf("%d,",s[str1.start+i]); printf("sum is %d\n",str1.sum); }