Easy
You are given an integer array nums
.
Start by selecting a starting position curr
such that nums[curr] == 0
, and choose a movement direction of either left or right.
After that, you repeat the following process:
curr
is out of the range [0, n - 1]
, this process ends.nums[curr] == 0
, move in the current direction by incrementing curr
if you are moving right, or decrementing curr
if you are moving left.nums[curr] > 0
:
nums[curr]
by 1.A selection of the initial position curr
and movement direction is considered valid if every element in nums
becomes 0 by the end of the process.
Return the number of possible valid selections.
Example 1:
Input: nums = [1,0,2,0,3]
Output: 2
Explanation:
The only possible valid selections are the following:
curr = 3
, and a movement direction to the left.
[1,0,2,**0**,3] -> [1,0,**2**,0,3] -> [1,0,1,**0**,3] -> [1,0,1,0,**3**] -> [1,0,1,**0**,2] -> [1,0,**1**,0,2] -> [1,0,0,**0**,2] -> [1,0,0,0,**2**] -> [1,0,0,**0**,1] -> [1,0,**0**,0,1] -> [1,**0**,0,0,1] -> [**1**,0,0,0,1] -> [0,**0**,0,0,1] -> [0,0,**0**,0,1] -> [0,0,0,**0**,1] -> [0,0,0,0,**1**] -> [0,0,0,0,0]
.curr = 3
, and a movement direction to the right.
[1,0,2,**0**,3] -> [1,0,2,0,**3**] -> [1,0,2,**0**,2] -> [1,0,**2**,0,2] -> [1,0,1,**0**,2] -> [1,0,1,0,**2**] -> [1,0,1,**0**,1] -> [1,0,**1**,0,1] -> [1,0,0,**0**,1] -> [1,0,0,0,**1**] -> [1,0,0,**0**,0] -> [1,0,**0**,0,0] -> [1,**0**,0,0,0] -> [**1**,0,0,0,0] -> [0,0,0,0,0].
Example 2:
Input: nums = [2,3,4,0,4,1,0]
Output: 0
Explanation:
There are no possible valid selections.
Constraints:
1 <= nums.length <= 100
0 <= nums[i] <= 100
i
where nums[i] == 0
.import kotlin.math.abs
class Solution {
fun countValidSelections(nums: IntArray): Int {
val rightSum = IntArray(nums.size)
val leftSum = IntArray(nums.size)
var result = 0
leftSum[0] = 0
rightSum[nums.size - 1] = 0
for (i in 1..<nums.size) {
leftSum[i] = leftSum[i - 1] + nums[i - 1]
}
for (j in nums.size - 2 downTo 0) {
rightSum[j] = rightSum[j + 1] + nums[j + 1]
}
for (k in nums.indices) {
if (nums[k] == 0 && abs((rightSum[k] - leftSum[k])) == 1) {
result++
}
if (nums[k] == 0 && abs((rightSum[k] - leftSum[k])) == 0) {
result += 2
}
}
return result
}
}