Lc面试题1617连续数列

package com.leetcode.leetcode.licm;

/**
 * @description:
 * @author: licm
 * @create: 2021-07-27 09:51
 **/
public class Lc面试题1617连续数列 {

    /**
     * dp
     * <p>
     * 1. 确定dp含义 当前下标对应的最大值
     * 2. 递推公式 Math.max(nums[i],dp[i-1]+nums[i])
     * 3. 初始化
     * 4。确定遍历顺序
     * 4. 推导结果
     *
     * @param nums
     * @return
     */
    public static int maxSubArray(int[] nums) {
        if (nums.length == 0) {
            return 0;
        }
        int[] dp = new int[nums.length];
        dp[0] = nums[0];
        for (int i = 1; i < nums.length; i++) {
            dp[i] = Math.max(nums[i], dp[i - 1] + nums[i]);
        }
        int res = Integer.MIN_VALUE;
        for (int i = 0; i < dp.length; i++) {
            res = res < dp[i] ? dp[i] : res;
        }
        return res;
    }

    public static void main(String[] args) {
        int[] nums = {-2, 1, -3, 4, -1, 2, 1, -5, 4};
        System.out.println(maxSubArray(nums));
    }
}