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Added N-Queens Algo #98

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54 changes: 54 additions & 0 deletions Backtracking/Queens.c
Original file line number Diff line number Diff line change
@@ -0,0 +1,54 @@
#include<stdio.h>
#include<math.h>
int board[100];
int count;

void print_B(int n){
int i,j;
printf("Solution %d:\n",++count);
for(i=1;i<=n;i++){
for(j=1;j<=n;j++){
if(board[i]==j){
printf("Q\t");
}
else{
printf("-\t");
}
}printf("\n");
}
}

int place(int row, int column){
int i;
for(i=1;i<=row-1;i++){
if(board[i]==column){
return 0;
}
else if(abs(board[i]-column)==abs(i-row)){
return 0;
}
}
return 1;
}

void Queen(int row,int n){
int column;
for(column=1;column<=n;column++){
if(place(row,column)){
board[row]=column;
if(row==n){
print_B(n);
}
else{
Queen(row+1,n);
}
}
}
}

void main(){
int n;
printf("Enter No of Queens: ");
scanf("%d",&n);
Queen(1,n);
}