Medium
You are given an integer array nums
. A subsequence of nums
is called a square streak if:
2
, andReturn the length of the longest square streak in nums
, or return -1
if there is no square streak.
A subsequence is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.
Example 1:
Input: nums = [4,3,6,16,8,2]
Output: 3
Explanation: Choose the subsequence [4,16,2]. After sorting it, it becomes [2,4,16].
4 = 2 * 2.
16 = 4 * 4.
Therefore, [4,16,2] is a square streak.
It can be shown that every subsequence of length 4 is not a square streak.
Example 2:
Input: nums = [2,3,5,6,7]
Output: -1
Explanation: There is no square streak in nums so return -1.
Constraints:
2 <= nums.length <= 105
2 <= nums[i] <= 105
class Solution {
fun longestSquareStreak(nums: IntArray): Int {
var result = -1
val max = 100000
val isExisted = BooleanArray(max + 1)
val isVisited = BooleanArray(max + 1)
for (num in nums) {
isExisted[num] = true
}
var i = 2
while (i * i <= max) {
if (!isExisted[i] || isVisited[i]) {
i++
continue
}
isVisited[i] = true
var length = 1
var j = i * i
while (j >= 0 && j <= max && isExisted[j]) {
isVisited[j] = true
length++
j = j * j
}
if (length > 1) {
result = Math.max(result, length)
}
i++
}
return result
}
}