#include<bits/stdc++.h>
using namespace std;
#include "coins.h"
vector<int>coin_flips(vector<int>b,int c){
vector<int>v;
int x=c;
for(int i=0;i<b.size();i++)if(b[i])x^=i;
v.push_back(x);
return v;
}
int find_coin(vector<int>b){
int ans=0;
for(int i=0;i<b.size();i++)if(b[i])ans^=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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