문제
링크
풀이
#include <iostream>
#include <string>
#include <vector>
#include <utility>
using namespace std;
string s;
vector<vector<int> > a(9, vector<int>(9));
vector<pair<int, int> > b;
void backtrack(int idx) {
if (idx == b.size()) {
for (int i=0; i<9; i++) {
for (int j=0; j<9; j++) {
cout << a[i][j];
}
cout << "\n";
}
exit(0);
}
int x = b[idx].first, y = b[idx].second;
vector<bool> c(10, false);
for (int i=0; i<9; i++) {
c[a[x][i]] = true;
c[a[i][y]] = true;
}
for (int i=0; i<3; i++) {
for (int j=0; j<3; j++) {
c[a[x/3*3+i][y/3*3+j]] = true;
}
}
for (int i=1; i<=9; i++) {
if (c[i]) continue;
a[x][y] = i;
backtrack(idx+1);
a[x][y] = 0;
}
}
void solve(void) {
for (int i=0; i<9; i++) {
cin >> s;
for (int j=0; j<9; j++) {
a[i][j] = s[j] - '0';
if (a[i][j] == 0) {
b.push_back(make_pair(i, j));
}
}
}
backtrack(0);
}
int main(void) {
ios::sync_with_stdio(false);
cin.tie(nullptr);
solve();
return 0;
}