How to Solve Maximum Number of Jumps to Reach the Last Index Problem
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Maximum Number of Jumps to Reach the Last Index
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 -targ...
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Understanding the Maximum Number of Jumps to Reach the Last Index Problem
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Problem Statement
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.
Maximum Number of Jumps to Reach the Last Index
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Examples
nums = [1,3,6,4,1,2], target = 2
3
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.
nums = [1,3,6,4,1,2], target = 3
5
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.
nums = [1,3,6,4,1,2], target = 0
-1
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
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