Find the contiguous subarray within an array (containing at least one number) which has the largest sum. For example, given the array [−2,1,−3,4,−1,2,1,−5,4], the contiguous subarray [4,−1,2,1] has the largest sum = 6.
DP : B[i]为以A[i]节点作为截止节点的subarray的the largest sum,那么B[i] = max (A[i], B[i-1] + A[i]) ;
class Solution { public: int maxSubArray(int A[], int n) { // Start typing your C/C++ solution below // DO NOT write int main() function vector<int> B(n,0); B[0] = A[0]; int max = B[0]; for(int i = 1; i< n; i++) { B[i] = B[i-1] + A[i] > A[i] ? B[i-1] + A[i] : A[i] ; max = max > B[i] ? max : B[i] ; } return max ; } };
重写后:
class Solution { public: int maxSubArray(int A[], int n) { // Start typing your C/C++ solution below // DO NOT write int main() function int max = A[0]; int test = A[0]; for(int i = 1; i< n; ++i) { test = test + A[i] > A[i] ? test + A[i] : A[i]; max = max > test ? max : test; } return max; } };