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- #include <bits/stdc++.h>
- using namespace std;
- #define debug(s) cout<< #s <<" = "<< s <<endl
- #define all(v) (v).begin(), (v).end()
- #define mem(a,val) memset(a,val,sizeof a)
- #define ll long long
- #define ff first
- #define ss second
- #define pb push_back
- #define endl '\n'
- bool flag = 0;
- int n = 9,tot,val[11],g[11][11];
- pair<pair<int,int>,int> vv[111];
- vector< pair<pair<int,int>,int> > v;
- bool cmp(pair<pair<int,int>,int> A, pair<pair<int,int>,int>B)
- {
- return A.ss > B.ss;
- }
- bool check(int x, int y, int num)
- {
- for(int i = 1; i <= n; ++i){
- if(g[x][i] == num or g[i][y] == num) return false;
- }
- x = ((x-1)/3)*3;
- y = ((y-1)/3)*3;
- for(int i = 1; i <= 3; ++i){
- for(int j = 1; j <= 3; ++j){
- if(g[x+i][y+j] == num) return false;
- }
- }
- return true;
- }
- void backtrack(int idx)
- {
- if(flag) return;
- if(idx == tot){
- flag = 1;
- for(int i = 1; i <= n; ++i){
- for(int j = 1; j <= n; ++j){
- cout << g[i][j];
- }
- cout << endl;
- }
- return;
- }
- int x = vv[idx].ff.ff;
- int y = vv[idx].ff.ss;
- for(int i = 1; i <= 9; ++i){
- if(check(x,y,i)){
- g[x][y] = i;
- backtrack(idx+1);
- if(flag) return;
- g[x][y] = 0;
- }
- }
- }
- int main()
- {
- ios_base::sync_with_stdio(false);cin.tie(NULL);
- #ifndef ONLINE_JUDGE
- freopen("in", "r", stdin);
- freopen("out","w",stdout);
- #endif
- int t;
- cin >> t;
- for(int cs = 1; cs <= t; ++cs){
- flag = 0;
- mem(g,0);
- mem(val,0);
- for(int i = 1; i <= n; ++i){
- for(int j = 1; j <= n; ++j){
- char c;
- cin >> c;
- if(c == '.') v.pb({{i,j},0});
- else{
- g[i][j] = (c-'0');
- val[i]++;
- val[j]++;
- }
- }
- }
- tot = v.size();
- for(int i = 0; i < tot; ++i){
- v[i].ss = (val[v[i].ff.ff]+val[v[i].ff.ss]);
- }
- for(int i = 0; i < tot; ++i) vv[i] = v[i];
- sort(vv,vv+tot,cmp);
- cout << "Case " << cs << ":" << endl;
- backtrack(0);
- v.clear();
- }
- }
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