53. Maximum Subarray

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.

More practice:
If you have figured out the O(n) solution, try coding another solution using the divide and conquer approach, which is more subtle.

思路: DP的思路,用一个curSum跟maxSum来追踪.
复杂度 time O(n) space O(1)

public class Solution {
    public int maxSubArray(int[] nums) {
        if (nums == null || nums.length == 0) 
            return Integer.MIN_VALUE;
        int curSum = nums[0];
        int maxSum = nums[0];
        for (int i = 1; i < nums.length; i++) {
            curSum = curSum > 0 ? curSum + nums[i]: nums[i];
            maxSum = Math.max(curSum, maxSum);
        }
        return maxSum;
    }
}
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