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Jump Game II

Certification: Advanced Level Accuracy: 0% Submissions: 0 Points: 15

Write a C# program to implement the MinJumps(int[] nums) function, which determines the minimum number of jumps needed to reach the last index in an array of non-negative integers. Each element in the array represents the maximum jump length from that position. Assume that you can always reach the last index.

Example 1
    
  
  • Input: nums = [2, 3, 1, 1, 4]
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  • Output: 2
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  • Explanation: 
    
      
      
    • The minimum number of jumps to reach the last index is 2.
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    • Jump 1 step from index 0 to 1, then 3 steps from index 1 to the last index.
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Example 2
    
  
  • Input: nums = [2, 3, 0, 1, 4]
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  • Output: 2
    • 
  
  • Explanation: 
    
      
      
    • The minimum number of jumps to reach the last index is 2.
      • 
      
    • Jump 1 step from index 0 to 1, then 3 steps from index 1 to the last index.
      • 
    
    
  
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Constraints
    
  
  • 1 ≤ nums.length ≤ 10^4
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  • 0 ≤ nums[i] ≤ 1000
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  • It's guaranteed that you can reach the last index
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  • Time Complexity: O(n)
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  • Space Complexity: O(1)
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NumberControl StructuresDropboxD. E. Shaw
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Hint
Solution

Solution Hints

    
  
  • Use a greedy approach to minimize the number of jumps
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  • Keep track of the furthest position you can reach from each position
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  • When you've used up your current jump range, increment your jump count
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  • Don't calculate jumps beyond the end of the array
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  • Optimize by avoiding unnecessary calculations once you can reach the end
    •

Steps to solve by this approach:

 Step 1: Initialize variables for tracking jumps, current jump end position, and furthest position that can be reached.
 Step 2: Iterate through the array from the beginning (except the last element).
 Step 3: For each position, update the furthest possible position that can be reached.
 Step 4: When the current position reaches the end of the current jump range, make a jump.
 Step 5: Update the current jump end to the furthest position calculated.
 Step 6: Return the total number of jumps needed to reach the end of the array.
 Step 7: Handle edge cases like single-element arrays.

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