This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define sz(x) (int) (x).size()
#define all(x) (x).begin(), (x).end()
#define show(x) cerr << #x << " is " << x << endl;
#define show2(x,y) cerr << #x << " is " << x << " " << #y << " is " << y << endl;
#define show3(x,y,z) cerr << #x << " is " << x << " " << #y << " is " << y << " " << #z << " is " << z << endl;
#define showlist(x) cerr << #x << " is "; for(auto p : x) cerr << p << " "; cerr << endl;
typedef pair<int,int> ii;
///attempt 2: each position be a bit in the 100 bit string
///but we store only for the positions (i mod 2) (j mod 2) - 4 color checkboard
///we can store up to 400 bits, so a 19x19 grid max --> 29 points i think
///probably if you ignore some cells you can optimize to 21x21
/// stuff for dfs
int grid[45][45];
void dfs(int i, int j){
if(i < 0 or j < 0) return;
if(grid[i][j] == 0) return;
grid[i][j] = 0;
dfs(i+1,j);
dfs(i-1,j);
dfs(i,j+1);
dfs(i,j-1);
}
int cellToBit(int i, int j){
return (i/2) * 10 + (j/2);
}
string process(vector <vector<string>> a, int I, int J, int K, int n){
//cerr << I << " " << J << " " << K << endl;
string res = string(100 ,'0');
if(K == 0){ ///first run
for(int i = 0;i <= 2;i += 2){
for(int j = 0;j <= 2;j += 2){
int pos = cellToBit(i+I, j+J);
if(a[i][j][0] == '1') res[pos] = '1';
}
}
}
else{
for(int i = 0;i <= 2;i += 2){ ///+=2 for same color
for(int j = 0;j <= 2;j += 2){
for(int p = 0;p < 100;p++){
if(a[i][j][p] == '1') res[p] = '1';
}
}
}
}
if(K == n-1){ ///last phase --> convert to binary
for(int i = 0;i < 45;i++) for(int j = 0;j < 45;j++) grid[i][j] = 0;
for(int io = 0;io <= 1;io += 1){
for(int jo = 0;jo <= 1;jo += 1){
for(int p = 0;p < 100;p++){
if(a[io][jo][p] == '1'){
int i = (p / 10) * 2 + (io % 2);
int j = (p % 10) * 2 + (jo % 2);
grid[i][j] = 1;
}
}
}
}
if(n == 1){ ///annoying edge case
for(int i = 0;i <= 2;i++){
for(int j = 0;j <= 2;j++){
if(a[i][j][0] == '1') grid[i][j] = 1;
}
}
}
for(int i = 0;i < 2*n+1;i++){
for(int j = 0;j < 2*n+1;j++) cerr << grid[i][j];
cerr << endl;
}
///count no. of connected components via dfs
int cnt = 0;
for(int i = 0;i < 45;i++) for(int j = 0;j < 45;j++){
if(grid[i][j]){
cnt++;
dfs(i,j);
}
}
//cerr << cnt << endl;
res = string(100 ,'0');
for(int p = 0;p < 100;p++){
if(cnt % 2 == 1) res[p] = '1';
cnt /= 2;
}
}
//cerr << res << endl;
return res;
}
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