Created
October 19, 2018 12:44
-
-
Save afvanwoudenberg/ae206a4debdfe8088ce1eb1ed0de8479 to your computer and use it in GitHub Desktop.
C++ solution to the N-queens problem
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
// nqueens.cpp | |
// Aswin van Woudenberg | |
#include <iostream> | |
#include <cstdlib> | |
bool issafe(int *rows, int i) | |
{ | |
for (int k=0; k<i; k++) | |
if (rows[i] == rows[k] || abs(rows[i]-rows[k]) == i-k) | |
return false; | |
return true; | |
} | |
void println(int n) | |
{ | |
std::cout << "+"; | |
for (int c=0; c<n; c++) | |
std::cout << "-+"; | |
std::cout << std::endl; | |
} | |
void printsol(int *rows, int n) | |
{ | |
println(n); | |
for (int r=0; r<n; r++) | |
{ | |
std::cout << "|"; | |
for (int c=0; c<n; c++) | |
if (rows[r] == c) | |
std::cout << "Q|"; | |
else | |
std::cout << " |"; | |
std::cout << std::endl; | |
println(n); | |
} | |
std::cout << std::endl; | |
} | |
void nqueens(int *rows, int n, int i) | |
{ | |
if (issafe(rows, i-1)) | |
if (i == n) | |
printsol(rows, n); | |
else | |
for (int k=0; k<n; k++) | |
{ | |
rows[i] = k; | |
nqueens(rows, n, i+1); | |
} | |
} | |
void nqueens(int n) | |
{ | |
int *rows; | |
rows = new int[n]; | |
nqueens(rows, n, 0); | |
delete [] rows; | |
} | |
int main(int argc, char *argv[]) | |
{ | |
int n; // number of queens | |
if (argc == 1) | |
std::cout << "Usage: " << argv[0] << " <number_of_queens>" << std::endl; | |
else | |
{ | |
n = atoi(argv[1]); | |
if (n == 0) | |
std::cout << "No valid number of queens entered!" << std::endl; | |
else | |
nqueens(n); | |
} | |
return 0; | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment