g0001_0100.s0060_permutation_sequence.Solution Maven / Gradle / Ivy
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Java-based LeetCode algorithm problem solutions, regularly updated
package g0001_0100.s0060_permutation_sequence;
// #Hard #Math #Recursion #2023_08_11_Time_0_ms_(100.00%)_Space_40.2_MB_(52.90%)
public class Solution {
public String getPermutation(int n, int k) {
char[] res = new char[n];
// We want the permutation sequence to be zero-indexed
k = k - 1;
// The set bits indicate the available digits
int a = (1 << n) - 1;
int m = 1;
for (int i = 2; i < n; i++) {
// m = (n - 1)!
m *= i;
}
for (int i = 0; i < n; i++) {
int b = a;
for (int j = 0; j < k / m; j++) {
b &= b - 1;
}
// b is the bit corresponding to the digit we want
b &= ~b + 1;
res[i] = (char) ('1' + Integer.bitCount(b - 1));
// Remove b from the set of available digits
a &= ~b;
k %= m;
m /= Math.max(1, n - i - 1);
}
return String.valueOf(res);
}
}