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Day 17 implementation in c++ (#165)
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dhruv-gupta14 authored and MadhavBahl committed Jan 13, 2019
1 parent 899c40d commit 411afe3
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62 changes: 62 additions & 0 deletions day17/C++/Day17.cpp
@@ -0,0 +1,62 @@
/*
* @author : dhruv-gupta14
* @date : 12/01/2019
*/

#include<iostream>
using namespace std;
#define N 8

void printBoard(int board[N][N]) {
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++)
cout << board[i][j] << " ";
cout << endl;
}
}

bool isValid(int board[N][N], int row, int col) {
for (int i = 0; i < col; i++) //check whether there is queen in the left or not
if (board[row][i])
return false;
for (int i=row, j=col; i>=0 && j>=0; i--, j--)
if (board[i][j]) //check whether there is queen in the left upper diagonal or not
return false;
for (int i=row, j=col; j>=0 && i<N; i++, j--)
if (board[i][j]) //check whether there is queen in the left lower diagonal or not
return false;
return true;
}

bool solveNQueen(int board[N][N], int col) {
if (col >= N) //when N queens are placed successfully
return true;
for (int i = 0; i < N; i++) { //for each row, check placing of queen is possible or not
if (isValid(board, i, col) ) {
board[i][col] = 1; //if validate, place the queen at place (i, col)
if ( solveNQueen(board, col + 1)) //Go for the other columns recursively
return true;

board[i][col] = 0; //When no place is vacant remove that queen
}
}
return false;
}

bool checkSolution() {
int board[N][N];
for(int i = 0; i<N; i++)
for(int j = 0; j<N; j++)
board[i][j] = 0;

if ( solveNQueen(board, 0) == false ) {
cout << "Solution does not exist";
return false;
}
printBoard(board);
return true;
}

int main() {
checkSolution();
}
71 changes: 70 additions & 1 deletion day17/README.md
Expand Up @@ -139,4 +139,73 @@ function printBoard (chessBoard) {
}

nqueens (8);
```
```

## C++ Implementation

### [Solution 1](./C++/Day17.cpp)

```cpp
/*
* @author : dhruv-gupta14
* @date : 12/01/2019
*/

#include<iostream>
using namespace std;
#define N 8

void printBoard(int board[N][N]) {
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++)
cout << board[i][j] << " ";
cout << endl;
}
}

bool isValid(int board[N][N], int row, int col) {
for (int i = 0; i < col; i++) //check whether there is queen in the left or not
if (board[row][i])
return false;
for (int i=row, j=col; i>=0 && j>=0; i--, j--)
if (board[i][j]) //check whether there is queen in the left upper diagonal or not
return false;
for (int i=row, j=col; j>=0 && i<N; i++, j--)
if (board[i][j]) //check whether there is queen in the left lower diagonal or not
return false;
return true;
}

bool solveNQueen(int board[N][N], int col) {
if (col >= N) //when N queens are placed successfully
return true;
for (int i = 0; i < N; i++) { //for each row,check placing of queen is possible or not
if (isValid(board, i, col) ) {
board[i][col] = 1; //if validate, place the queen at place (i, col)
if ( solveNQueen(board, col + 1)) //Go for the other columns recursively
return true;

board[i][col] = 0; //When no place is vacant remove that queen
}
}
return false;
}

bool checkSolution() {
int board[N][N];
for(int i = 0; i<N; i++)
for(int j = 0; j<N; j++)
board[i][j] = 0;

if ( solveNQueen(board, 0) == false ) {
cout << "Solution does not exist";
return false;
}
printBoard(board);
return true;
}

int main() {
checkSolution();
}
```

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