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]
andi + 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
It can be solved by using simple BFS like (or you can say it’s a kind of two pointers)
class Solution:
def jump(self, nums: List[int]) -> int:
jump = 0
l = r = 0
while r < len(nums) - 1:
max_range = l
for index in range(l, r + 1):
max_range = max(max_range, index + nums[index])
l = r + 1
r = max_range
jump += 1
return jump
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