Medium
You are given a 0-indexed integer array nums
. In one step, remove all elements nums[i]
where nums[i - 1] > nums[i]
for all 0 < i < nums.length
.
Return the number of steps performed until nums
becomes a non-decreasing array.
Example 1:
Input: nums = [5,3,4,4,7,3,6,11,8,5,11]
Output: 3
Explanation: The following are the steps performed:
Step 1: [5,3,4,4,7,3,6,11,8,5,11] becomes [5,4,4,7,6,11,11]
Step 2: [5,4,4,7,6,11,11] becomes [5,4,7,11,11]
Step 3: [5,4,7,11,11] becomes [5,7,11,11]
[5,7,11,11] is a non-decreasing array. Therefore, we return 3.
Example 2:
Input: nums = [4,5,7,7,13]
Output: 0
Explanation: nums is already a non-decreasing array. Therefore, we return 0.
Constraints:
1 <= nums.length <= 105
1 <= nums[i] <= 109
class Solution {
fun totalSteps(nums: IntArray): Int {
var max = 0
val pos = IntArray(nums.size + 1)
val steps = IntArray(nums.size + 1)
var top = -1
for (i in 0..nums.size) {
val `val` = if (i == nums.size) Int.MAX_VALUE else nums[i]
while (top >= 0 && nums[pos[top]] <= `val`) {
if (top == 0) {
max = Math.max(max, steps[pos[top--]])
} else {
steps[pos[--top]] = Math.max(steps[pos[top]] + 1, steps[pos[top + 1]])
}
}
pos[++top] = i
}
return max
}
}