Medium
You are given an integer array nums
.
From any index i
, you can jump to another index j
under the following rules:
j
where j > i
is allowed only if nums[j] < nums[i]
.j
where j < i
is allowed only if nums[j] > nums[i]
.For each index i
, find the maximum value in nums
that can be reached by following any sequence of valid jumps starting at i
.
Return an array ans
where ans[i]
is the maximum value reachable starting from index i
.
Example 1:
Input: nums = [2,1,3]
Output: [2,2,3]
Explanation:
i = 0
: No jump increases the value.i = 1
: Jump to j = 0
as nums[j] = 2
is greater than nums[i]
.i = 2
: Since nums[2] = 3
is the maximum value in nums
, no jump increases the value.Thus, ans = [2, 2, 3]
.
Example 2:
Input: nums = [2,3,1]
Output: [3,3,3]
Explanation:
i = 0
: Jump forward to j = 2
as nums[j] = 1
is less than nums[i] = 2
, then from i = 2
jump to j = 1
as nums[j] = 3
is greater than nums[2]
.i = 1
: Since nums[1] = 3
is the maximum value in nums
, no jump increases the value.i = 2
: Jump to j = 1
as nums[j] = 3
is greater than nums[2] = 1
.Thus, ans = [3, 3, 3]
.
Constraints:
1 <= nums.length <= 105
1 <= nums[i] <= 109
import kotlin.math.max
import kotlin.math.min
class Solution {
fun maxValue(nums: IntArray): IntArray {
val f = IntArray(nums.size)
var cur = 0
for (i in nums.indices) {
cur = max(cur, nums[i])
f[i] = cur
}
var min = nums[nums.size - 1]
for (i in nums.size - 2 downTo 0) {
if (f[i] > min) {
f[i] = max(f[i], f[i + 1])
}
min = min(min, nums[i])
}
return f
}
}