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93 changes: 93 additions & 0 deletions backtracking/8 queen
Original file line number Diff line number Diff line change
@@ -0,0 +1,93 @@
#include <bits/stdc++.h>
using namespace std;

int Mat[9][9];
int result=1, vetor[9];
int FixColum,FixLinha;

void SurubinhaDeLeve(){
for(int i=0; i<8;i++){
for(int j=0 ; j<8;j++){
if(Mat[i][j]==1){
vetor[j]=i+1;
}
}
}
if(result <10){
cout << " "<<result << " ";
}
else{
cout <<result << " ";
}
for(int i=0; i<8;i++){
if(i==7){
cout << vetor[i] << endl;
}
else{
cout << vetor[i] << " ";
}
}
result++;

}
bool Buscar(int Lin, int Col){
for(int i=0;i< Col;i++){
if(Mat[Lin][i]){
return false;
}
}
for(int i= Lin-1, j= Col-1; i>=0 && j>=0; i--,j--){
if(Mat[i][j]){
return false;
}
}
for(int i= Lin+1, j= Col-1; i<8 && j >=0;i++,j--){
if(Mat[i][j]){
return false;
}
}
return true;
}

void BT(int C){
if(C==8){
SurubinhaDeLeve();
}
if(FixColum==C){
if(Buscar(FixLinha,FixColum)){
Mat[FixLinha][FixColum]=1;
BT(C+1);
}
return;
}
for(int i=0 ; i < 8;i++){
if(Buscar(i,C)){
Mat[i][C]=1;
BT(C+1);
Mat[i][C]=0;
}
}
}

int main(){
int QuantC;
scanf("%d", &QuantC);
while(QuantC--){
result=1;
for(int i=0;i<9;i++){
vetor[i]=0;
for(int j=0; j<9;j++){
Mat[i][j]=0;
}
}
cout<< "SOLN COLUMN\n # 1 2 3 4 5 6 7 8\n\n";
scanf("%d %d", &FixLinha, &FixColum);
FixColum--;
FixLinha--;
BT(0);
if(QuantC!=0){
cout << endl;
}

}
}