Q2 Jump Game II - LeetCode 45

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Wed Mar 01 2023 14:04:43 GMT+0000 (Coordinated Universal Time)

Saved by @Ayush_dabas07

class Solution {
    
    //this is a dp problem , count stairs with minimum jumps
    public int jump(int[] nums) {
        int n = nums.length ;

        //every index stores minimum number of jumps from itself to last index
        //we take Integer to store null for indexes from where there is no path
        Integer dp[] = new Integer[n];   

        //jump from n to n will be 0
        dp[n-1] = 0;
        
        /*
        while iterating from right to left find minimum jumps of from that index
        to the last index
        */
        for(int i = n - 2;i >=0 ;i--){
            
            //if jumps are greater than 0
            if(nums[i] > 0){
                int min = Integer.MAX_VALUE;

                /*
                take jumps from 1 to nums[i] from current index amd see which 
                next index gives you the minimum ans
                 */
                for(int j = 1 ; j <= nums[i] && i+j < n ;j++){

                    //take minimum jumped index answer 
                    if(dp[i+j] != null)
                    min = Math.min(min , dp[i+j]);
                }
                
                //now add 1 for your cell's jump
                // if all jumps lead to null, min will stay as it is
                if(min!= Integer.MAX_VALUE){
                    dp[i] = min+1;
                    System.out.print(dp[i]);
                }
                
            }
                
            
        }

        return (int)dp[0];
    }
}

https://leetcode.com/problems/jump-game-ii/

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DP level 2

@Ayush_dabas07

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