#include "coins.h"
using namespace std;
// #define int long long
// #define ff first
// #define ss second
// #define pb push_back
int t;
const int N = 1e6 + 6;
std::vector<int> coin_flips(std::vector<int> b, int c) {
std::vector<int> flips;
int num = 0;
for (int i = 0; i <= 63; i++){
num ^= (b[i] * i);
}
for (int i = 0; i < 63; i++){
if ((num ^ i) == c){
flips.push_back(i);
break;
}
}
return flips;
}
int find_coin(std::vector<int> b) {
int num = 0;
for (int i = 0; i <= 63; i++){
num ^= (b[i] * i);
}
return num;
}
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