Leetcode 55 solution

55. Jump Game

You are given an integer array nums. You are initially positioned at the array's first index, and each element in the array represents your maximum jump length at that position.

Return true if you can reach the last index, or false otherwise.

 

Example 1:

Input: nums = [2,3,1,1,4]
Output: true
Explanation: Jump 1 step from index 0 to 1, then 3 steps to the last index.

Example 2:

Input: nums = [3,2,1,0,4]
Output: false
Explanation: You will always arrive at index 3 no matter what. Its maximum jump length is 0, which makes it impossible to reach the last index.

 

Constraints:

• 1 <= nums.length <= 104
• 0 <= nums[i] <= 105

solution:  

class Solution {

 bool solve(vector<int>&nums , int index , vector<int>&dp)

 {    

     if(dp[index] != -1)

     {

         return dp[index];

     }

     if(index == nums.size()-1)

     {

         return true;

     }

     if(nums[index] == 0)

     {

         return false;

     }

     bool x = false;

     if(index +nums[index] >= nums.size()-1)

         {

              return dp[index] = true;

         }

     for(int j = index+nums[index] ; j >= index+1 ; j--)

     {  

         

         if(j <= nums.size()-1)

         x = x | solve(nums , j, dp);

         if(x == true)

          break;

     }

     return dp[index] =  x;

 }

public:

    bool canJump(vector<int>& nums) {

         

         int i =0;

         vector<int>dp(nums.size() , -1);

         return solve(nums , i , dp );

    }

};