// 1238. Circular Permutation in Binary Representation
#include "leetcode.h"
/*
* given 2 integers 'n' and 'start', your task is to return any permutation of
* '(0, 1, 2, ..., 2^n - 1)' such that 'p[0] = start', 'p[i]' and 'p[i + 1]'
* differ by only one bit in their binary representation, and 'p[0]' and '[p2^n
* - 1]' must also differ by oly one bit in their binary repesentation.
*/
int *circularPermutation(int n, int start, int *returnSize) {
int x = pow(2, n), curr = 1, begin;
*returnSize = x;
int *tmp = (int *)malloc(x * sizeof(int));
tmp[0] = 0;
for (int i = 0; i < n; i++) {
for (int j = 0; j < curr; j++)
tmp[curr + j] = tmp[curr - 1 - j] + (1 << i);
curr *= 2;
}
for (int i = 0; i < x; i++)
if (tmp[i] == start) {
begin = i;
break;
}
int *ans = (int *)malloc(x * sizeof(int));
memcpy(ans, &tmp[begin], (x - begin) * sizeof(int));
memcpy(&ans[x - begin], tmp, begin * sizeof(int));
free(tmp);
return ans;
}
int main() {
int rs1, *cp1 = circularPermutation(2, 3, &rs1);
int rs2, *cp2 = circularPermutation(3, 2, &rs2);
for (int i = 0; i < rs1; i++)
printf("%d ", cp1[i]); // expect: 3 2 0 1
printf("\n");
for (int i = 0; i < rs2; i++)
printf("%d ", cp2[i]); // expect: 2 6 7 5 4 0 1 3
printf("\n");
free(cp1);
free(cp2);
}