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day 17 #169

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70 changes: 70 additions & 0 deletions day17/Java/nQueen.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,70 @@
/*
* To change this license header, choose License Headers in Project Properties.
* To change this template file, choose Tools | Templates
* and open the template in the editor.
*/
package recursion;

/**
* @date 14/01/19
* @author SPREEHA DUTTA
*/
import java.util.*;
public class nQueen {
static int n;
public static void print(int arr[][])
{
for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
System.out.print(arr[i][j]);
System.out.println();
}
}

public static boolean safe(int arr[][],int r,int c)
{
int i,j;
for(i=0;i<c;i++)
if(arr[r][i]==1)
return false;
for(i=r, j=c; i>=0 && j>=0; i--,j--)
if(arr[i][j]==1)
return false;
for(i=r, j=c; i<n && j>=0; i++,j--)
if(arr[i][j]==1)
return false;
return true;
}

public static boolean placeQueen(int arr[][],int c)
{
int i;
if(c>=n)
return true;
for(i=0;i<n;i++)
{
if(safe(arr,i,c))
{
arr[i][c]=1;
if(placeQueen(arr,c+1)==true)
return true;
arr[i][c]=0;
}
}
return false;
}

public static void main(String []args)
{
Scanner sc=new Scanner(System.in);
n=sc.nextInt();
int arr[][]=new int[n][n];
if(placeQueen(arr,0)==false)
{
System.out.println("All the queens cannot be placed");
}
else
print(arr);
}
}
70 changes: 70 additions & 0 deletions day17/README.md
Original file line number Diff line number Diff line change
Expand Up @@ -209,3 +209,73 @@ int main() {
checkSolution();
}
```

## Java Implementation

### [Solution](./Java/nQueen.java)

```java
/**
* @date 14/01/19
* @author SPREEHA DUTTA
*/
import java.util.*;
public class nQueen {
static int n;
public static void print(int arr[][])
{
for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
System.out.print(arr[i][j]);
System.out.println();
}
}

public static boolean safe(int arr[][],int r,int c)
{
int i,j;
for(i=0;i<c;i++)
if(arr[r][i]==1)
return false;
for(i=r, j=c; i>=0 && j>=0; i--,j--)
if(arr[i][j]==1)
return false;
for(i=r, j=c; i<n && j>=0; i++,j--)
if(arr[i][j]==1)
return false;
return true;
}

public static boolean placeQueen(int arr[][],int c)
{
int i;
if(c>=n)
return true;
for(i=0;i<n;i++)
{
if(safe(arr,i,c))
{
arr[i][c]=1;
if(placeQueen(arr,c+1)==true)
return true;
arr[i][c]=0;
}
}
return false;
}

public static void main(String []args)
{
Scanner sc=new Scanner(System.in);
n=sc.nextInt();
int arr[][]=new int[n][n];
if(placeQueen(arr,0)==false)
{
System.out.println("All the queens cannot be placed");
}
else
print(arr);
}
}
```