#include <bits/stdc++.h>
#include "coins.h"
using namespace std;
#define pb push_back
#define ll long long
vector<int> coin_flips(vector<int>a,int c){
vector<int>f;
vector<int>tmp;
int cnt=0;
while(c){
if (c%2)tmp.pb(cnt);
cnt++;
c/=2;
}
for (auto x:tmp){
//cout<<x<<" ";
if (a[x]!=1)f.pb(x);
}
for (int i=0;i<8;i++){
if (a[i]==1 && !count(tmp.begin(),tmp.end(),i)){
f.pb(i);
}
}
// for (auto x:f){
// cout<<x<<" ";
// }
if (f.size()==0){
f.pb(1);
f.pb(1);
}
return f;
}
int find_coin(vector<int>a){
int ans;
for (int i=0;i<8;i++){
ans+=(1<<i)*a[i];
}
return ans;
}
// static string run_test() {
// int c;
// cin >> c;
// vector<int> b(64);
// for (int i = 0; i < 8; i++) {
// string s;
// cin >> s;
// for (int j = 0; j < 8; j++) {
// b[i * 8 + j] = int(s[j] - '0');
// }
// }
// vector<int> flips = coin_flips(b, c);
// if ((int)flips.size() == 0) {
// return "0 turn overs";
// }
// for (int i = 0; i < (int)flips.size(); i++) {
// if (flips[i] < 0 || flips[i] > 63) {
// return "cell number out of range";
// }
// b[flips[i]] = 1 - b[flips[i]];
// }
// int coin = find_coin(b);
// if (coin != c) {
// return "wrong coin";
// }
// return "ok";
// }
// int main() {
// int tests;
// cin >> tests;
// for (int t = 1; t <= tests; t++) {
// string result = run_test();
// cout << "test #" << t << ": " << result << endl;
// }
// return 0;
// }
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