You are given a 0-indexed array of integers nums
of length n
. You are initially positioned at nums[0]
.
Each element nums[i]
represents the maximum length of a forward jump from index i
. In other words, if you are at nums[i]
, you can jump to any nums[i + j]
where:
- 0 <= j <= nums[i] and
- i + j < n
Return the minimum number of jumps to reach nums[n - 1]. The test cases are generated such that you can reach nums[n - 1].
Example 1:
- Input: nums = [2,3,1,1,4]
- 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 to the last index.
Example 2:
- Input: nums = [2,3,0,1,4]
- Output: 2
Constraints:
- 1 <= nums.length <= 104
- 0 <= nums[i] <= 1000
- Itβs guaranteed that you can reach nums[n - 1].