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

• <code>-10⁹<= numsi<= 10⁹</code>

• <code>0 <= target <= 2 * 10⁹</code>