g0901_1000.s0996_number_of_squareful_arrays.Solution Maven / Gradle / Ivy
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Java-based LeetCode algorithm problem solutions, regularly updated
package g0901_1000.s0996_number_of_squareful_arrays;
// #Hard #Array #Dynamic_Programming #Math #Bit_Manipulation #Backtracking #Bitmask
// #2022_03_31_Time_2_ms_(72.32%)_Space_41.9_MB_(32.14%)
import java.util.HashSet;
import java.util.Set;
public class Solution {
int count;
public int numSquarefulPerms(int[] nums) {
int n = nums.length;
if (n < 2) {
return count;
}
backtrack(nums, n, 0);
return count;
}
private void backtrack(int[] nums, int n, int start) {
if (start == n) {
count++;
}
Set set = new HashSet<>();
for (int i = start; i < n; i++) {
if (set.contains(nums[i])) {
continue;
}
swap(nums, start, i);
if (start == 0 || isPerfectSq(nums[start], nums[start - 1])) {
backtrack(nums, n, start + 1);
}
swap(nums, start, i);
set.add(nums[i]);
}
}
private void swap(int[] array, int a, int b) {
int temp = array[a];
array[a] = array[b];
array[b] = temp;
}
private boolean isPerfectSq(int a, int b) {
int x = a + b;
double sqrt = Math.sqrt(x);
return sqrt - (int) sqrt == 0;
}
}