3.堆全排列
【问题描述】请考虑用下面这个生成排列算法的实现,这个算法是有B.希普(B.Heap)发明的
AlgorithmHeapPermute(n
//ImplementsHeap'salgorithmforgenerating permutations
//Input:ApositiveintegernandaglobalarrayA1..n
//Output:Allpermutations ofelementsofA
ifn=1
write A
else
fori-ltondo
HeapPermute(n-1)
ifnis odd
swapA1landAln
else swapA]and Aln
【输入形式】一个整数n(n<=10)
【输出形式】1到n的全排列(用上述算法顺序输出)
【样例输入】
3
【样例输出】
123
213
312
132
231
321
请问用c语言怎么做啊
#include <stdio.h>
#include <stdlib.h>
void swap(int *x, int *y) {
int temp = *x;
*x = *y;
*y = temp;
}
void heapPermutation(int a[], int size, int n) {
if (size == 1) {
for (int i = 0; i < n; i++)
printf("%d", a[i]);
printf("\n");
}
for (int i = 0; i < size; i++) {
heapPermutation(a, size - 1, n);
if (size % 2 == 1)
swap(&a[0], &a[size - 1]);
else
swap(&a[i], &a[size - 1]);
}
}
int main() {
int n;
scanf("%d", &n);
int a[n];
for (int i = 0; i < n; i++)
a[i] = i + 1;
heapPermutation(a, n, n);
return 0;
}
#include <stdio.h>
#include <stdlib.h>
void Swap(int *a, int *b)
{
int temp = *a;
*a = *b;
*b = temp;
}
void HeapPermute(int *arr, int size, int n)
{
if (n == 1)
{
for (int i = 0; i < size; i++)
{
printf("%d ", arr[i]);
}
printf("\n");
return;
}
for (int i = 0; i < n; i++)
{
HeapPermute(arr, size, n - 1);
if (n % 2 == 0)
{
Swap(&arr[i], &arr[n - 1]);
}
else
{
Swap(&arr[0], &arr[n - 1]);
}
}
}
int main(void)
{
int n;
scanf("%d", &n);
int *arr = malloc(sizeof(int) * n);
for (int i = 1; i <= n; i++) arr[i - 1] = i;
HeapPermute(arr, n, n);
return 0;
}