Package g2701_2800.s2770_maximum_number_of_jumps_to_reach_the_last_index

Class Solution

java.lang.Object
g2701_2800.s2770_maximum_number_of_jumps_to_reach_the_last_index.Solution
public class Solution extends java.lang.Object
2770 - Maximum Number of Jumps to Reach the Last Index.

Medium

You are given a 0-indexed array nums of n integers and an integer target.

You are initially positioned at index 0. In one step, you can jump from index i to any index j such that:

  • 0 <= i < j < n
  • -target <= nums[j] - nums[i] <= target

Return the maximum number of jumps you can make to reach index n - 1.

If there is no way to reach index n - 1, return -1.

Example 1:

Input: nums = [1,3,6,4,1,2], target = 2

Output: 3

Explanation:

To go from index 0 to index n - 1 with the maximum number of jumps, you can perform the following jumping sequence:

  • Jump from index 0 to index 1.

  • Jump from index 1 to index 3.

  • Jump from index 3 to index 5.

It can be proven that there is no other jumping sequence that goes from 0 to n - 1 with more than 3 jumps.

Hence, the answer is 3.

Example 2:

Input: nums = [1,3,6,4,1,2], target = 3

Output: 5

Explanation:

To go from index 0 to index n - 1 with the maximum number of jumps, you can perform the following jumping sequence:

  • Jump from index 0 to index 1.

  • Jump from index 1 to index 2.

  • Jump from index 2 to index 3.

  • Jump from index 3 to index 4.

  • Jump from index 4 to index 5.

It can be proven that there is no other jumping sequence that goes from 0 to n - 1 with more than 5 jumps.

Hence, the answer is 5.

Example 3:

Input: nums = [1,3,6,4,1,2], target = 0

Output: -1

Explanation: It can be proven that there is no jumping sequence that goes from 0 to n - 1. Hence, the answer is -1.

Constraints:

  • 2 <= nums.length == n <= 1000
  • -109 <= nums[i] <= 109
  • 0 <= target <= 2 * 109

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    maximumJumps(int[] nums, int target)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • maximumJumps

      public int maximumJumps(int[] nums, int target)