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/*#include <bits/stdc++.h>
typedef unsigned long long ul;
typedef long long ll;
using namespace std;
int n, tab[20], sol = 0;
ifstream in("damesah.in");
ofstream out("damesah.out");
void afisare(int k)
{
for (int i = 1; i <= n; i++)
{
out << tab[i] << " ";
}
out << "\n";
}
bool solutie(int k)
{
if (k == n) return 1;
return 0;
}
bool valid(int k)
{
for (int i = 1; i < k; i++)
{
if (tab[k] == tab[i] || abs(tab[k] - tab[i]) == abs(k - i)) return 0;
}
return 1;
}
void dame(int k)
{
for (int i = 1; i <= n; i++)
{
tab[k] = i;
if (valid(k))
{
if (solutie(k)) {
if (sol == 0) afisare(k);
sol++;
}
else dame(k + 1);
}
}
}
int main(){
//ios_base::sync_with_stdio(0); cin.tie(); cout.tie();
in >> n;
dame(1);
out << sol;
return 0;
}
*/
#include <iostream>
#include <math.h>
#include<fstream>
using namespace std;
int x[13];
int solutie[13];
void tiparesteSolutie(int n) {
for (int i = 1; i <= n; i++) {
solutie[i] = x[i];
}
}
bool eValid(int k){
for (int i = 1; i < k; i++)
if ((x[k] == x[i]) || (k - i == abs(x[k] - x[i]))){
return false;
}
return true;
}
int backtrack(int n){
int eSolutie, k;
k = 1;
x[k] = 0;
int nrSolutii = 0;
int prima = 1;
while (k > 0) {
eSolutie = 0;
while ((x[k] < n) && (!eSolutie)) {
x[k]++;
eSolutie = eValid(k);
}
if (!eSolutie){
k--;
}
else{
if (k == n) {
if (prima)
{
tiparesteSolutie(n);
prima = 0;
}
nrSolutii++;
}
else {
k++;
x[k] = 0;
}
}
}
return nrSolutii;
}
int main() {
ofstream o("damesah.out");
ifstream f("damesah.in");
int n, k, eSolutie;
f >> n;
int nrSolutii = backtrack(n);
for (int i = 1; i <= n; i++){
o << solutie[i] << " ";
}
o << '\n';
o << nrSolutii;
return 0;
}