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nQueen(Backtracking).cpp
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108 lines (99 loc) · 2.47 KB
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/*************************************Ninja-nick-s*****************************************/
#include <bits/stdc++.h>
using namespace std;
#define fast ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
typedef long long ll;typedef long double ld;typedef pair<int,int> pii;
#define F first
#define S second
#define PB push_back
#define MP make_pair
#define YES {cout<<"YES\n";return;}
#define NO {cout<<"NO\n";return;}
#define all(x) x.begin(), x.end()
#define rep(i,start,end) for(auto i=(start)-((start)>(end));i!=(end)-((start)>(end));((start)<(end)?i++:i--))
const ll mod = 1e9+7, N = 2e6+7, M = 2e6+7, INF = INT_MAX/10;
ll powe(ll x, ll y){ x = x%mod, y=y%(mod-1);
ll ans = 1;
while(y>0){if (y&1){ans = (1ll * x * ans)%mod;}y>>=1;x = (1ll * x * x)%mod;}
return ans;}
void PA(int v[], int n, int x = 0) { for (int i = x ; i < n + x; i++)cout << v[i] <<" " ;}
void IA(int a[], int n, int x = 0) {for (int i = x; i < n + x; i++)cin >> a[i];}
string yup="YES";
string nope="NO";
bool issafe(int x,int y , int** arr , int n){
rep(i,0,x){
if(arr[i][y]==1){
return false;
}
}
int row = x;
int col = y;
while(row>=0 && col>=0){
if(arr[row][col]==1){
return false;
}
row--;
col--;
}
row=x;
col=y;
while(row>=0 && col<n){
if(arr[row][col]==1){
return false;
}
row--;
col++;
}
return true;
}
bool nqueen(int x,int n,int** arr){
if(x>=n){
return true;
}
for(int i=0;i<n;i++){
if(issafe(x,i,arr,n)){
arr[x][i] = 1;
if(nqueen(x+1 , n ,arr)){
return true;
}
arr[x][i] = 0;
}
}
return false;
}
/* CHECK t */
void Solve(){
int n;cin>>n;
int** arr = new int*[n];
rep(i,0,n){
arr[i] = new int[n];
rep(j,0,n){
arr[i][j] = 0;
}
}
if(nqueen(0,n,arr)){
rep(i,0,n){
rep(j,0,n){
cout<<arr[i][j]<<" ";
}
cout<<"\n";
}
}
else{
cout<<"0";
}
}
int32_t main(){
#ifndef ONLINE_JUDGE
freopen("input.txt","r", stdin);
freopen("output.txt","w", stdout);
#endif
fast;
int t = 1;
//cin >> t;
//cout<<fixed<<setprecision(9);
while(t--){
Solve();cout<<"\n";
}
return 0;
}