52. N-Queens II
Problem's Link
----------------------------------------------------------------------------
Mean:
略.
analyse:
略
Time complexity: O(N)
view code
/**
* -----------------------------------------------------------------
* Copyright (c) 2016 crazyacking.All rights reserved.
* -----------------------------------------------------------------
* Author: crazyacking
* Date : 2016-03-21-11.01
*/
#include <queue>
#include <cstdio>
#include <set>
#include <string>
#include <stack>
#include <cmath>
#include <climits>
#include <map>
#include <cstdlib>
#include <iostream>
#include <vector>
#include <algorithm>
#include <cstring>
using namespace std;
typedef long long( LL);
typedef unsigned long long( ULL);
const double eps( 1e-8);
class Solution
{
public :
int totalNQueens( int n)
{
ans = 0;
mat =* new vector < string >(n , string(n , '.'));
dfs( mat , 0 ,n);
return ans;
}
void dfs( vector < string > & mat , int row , int n)
{
if( row ==n)
{ ans ++; return ;}
for( int col = 0; col <n; ++ col)
{
if( check( row , col , mat ,n))
{
mat [ row ][ col ] = 'Q';
dfs( mat , row + 1 ,n);
mat [ row ][ col ] = '.';
}
}
}
bool check( int row , int col , vector < string > & mat , int n)
{
for( int i = 0; i < row; ++ i)
if( mat [ i ][ col ] == 'Q')
return 0;
for( int x = row - 1 , y = col - 1; x >= 0 && y >= 0; -- x , -- y)
if( mat [ x ][ y ] == 'Q')
return 0;
for( int x = row - 1 , y = col + 1; x >= 0 && y <n; -- x , ++ y)
if( mat [ x ][ y ] == 'Q')
return 0;
return 1;
}
private :
int ans;
vector < string > mat;
};
int main()
{
int n;
while( cin >>n)
{
Solution solution;
int ans = solution . totalNQueens(n);
cout << ans << endl;
cout << "------------------------------" << endl;
}
return 0;
}
/*
*/
* -----------------------------------------------------------------
* Copyright (c) 2016 crazyacking.All rights reserved.
* -----------------------------------------------------------------
* Author: crazyacking
* Date : 2016-03-21-11.01
*/
#include <queue>
#include <cstdio>
#include <set>
#include <string>
#include <stack>
#include <cmath>
#include <climits>
#include <map>
#include <cstdlib>
#include <iostream>
#include <vector>
#include <algorithm>
#include <cstring>
using namespace std;
typedef long long( LL);
typedef unsigned long long( ULL);
const double eps( 1e-8);
class Solution
{
public :
int totalNQueens( int n)
{
ans = 0;
mat =* new vector < string >(n , string(n , '.'));
dfs( mat , 0 ,n);
return ans;
}
void dfs( vector < string > & mat , int row , int n)
{
if( row ==n)
{ ans ++; return ;}
for( int col = 0; col <n; ++ col)
{
if( check( row , col , mat ,n))
{
mat [ row ][ col ] = 'Q';
dfs( mat , row + 1 ,n);
mat [ row ][ col ] = '.';
}
}
}
bool check( int row , int col , vector < string > & mat , int n)
{
for( int i = 0; i < row; ++ i)
if( mat [ i ][ col ] == 'Q')
return 0;
for( int x = row - 1 , y = col - 1; x >= 0 && y >= 0; -- x , -- y)
if( mat [ x ][ y ] == 'Q')
return 0;
for( int x = row - 1 , y = col + 1; x >= 0 && y <n; -- x , ++ y)
if( mat [ x ][ y ] == 'Q')
return 0;
return 1;
}
private :
int ans;
vector < string > mat;
};
int main()
{
int n;
while( cin >>n)
{
Solution solution;
int ans = solution . totalNQueens(n);
cout << ans << endl;
cout << "------------------------------" << endl;
}
return 0;
}
/*
*/