Q25 Burst Balloons - LeetCode 312

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Thu Apr 06 2023 10:49:52 GMT+0000 (Coordinated Universal Time)

Saved by @Ayush_dabas07

class Solution {
    public int maxCoins(int[] nums) {
        //this is a question of matrix chain multiplication dp playlist vid23

        //adding an extra 1 in the end of the array 
        int n = nums.length;
        int dp[][] = new int[n][n];

        for(int gap = 0; gap < n ; gap++){

            for(int i = 0 , j = gap ; j < n ; i++ , j++){ 
                
                int max = Integer.MIN_VALUE;
                for(int k = i ; k <= j ;k++){

                    int left = k==i ? 0: dp[i][k-1] ;
                    int right = k==j ? 0: dp[k+1][j] ;
                    
                    //cost = nums[i-1] * nums[k] * nums[j+1]
                    //handling for i==0 and j == n-1
                    int cost = nums[k];
                    
                    cost *= i > 0 ? nums[i-1] : 1;
                    cost *= j != n-1 ? nums[j+1] :1;

                    max = Math.max(max , left + right + cost);
                }
                
                dp[i][j] = max;
                
            }
        }

        return dp[0][n-1];

    }
}

https://leetcode.com/problems/burst-balloons/

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