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【Leetcode】最大子陣列和

 

 

採用分治演算法,

陣列區間[left, right], mid = (right + left) / 2

最大子陣列存在於可能的三種情況:

[left, mid],  [mid + 1, right], 橫跨前兩個

而第三種情況可以拆成[lb, mid] 和 [mid + 1, ub]的並集

 

class Solution {
public:
    int maxSubArray(vector<int>& nums) {
        if (nums.size() == 1) return nums[0];
        if (nums.size() == 2
) return max(nums[0], nums[1], nums[0] + nums[1]); int left = 0, right = nums.size() - 1, mid = left + (right - left) / 2; int left_max = nums[mid], right_max = 0, cur_left = 0, cur_right = 0; vector<int>left_nums, right_nums; for (int i = mid; i >= 0; --i) { cur_left
+= nums[i]; if (cur_left > left_max) left_max = cur_left; left_nums.push_back(nums[i]); } if (mid + 1 <= right) right_max = nums[mid + 1]; for (int i = mid + 1; i <= right; ++i) { cur_right += nums[i]; if (cur_right > right_max) right_max = cur_right; right_nums.push_back(nums[i]); }
return max(maxSubArray(left_nums), maxSubArray(right_nums), left_max + right_max); } int max(int a, int b, int c) { int m = a; if (m < b) m = b; if (m < c) m = c; return m; } };