#include<bits/stdc++.h>
#include "coins.h"
std::vector<int> coin_flips(std::vector<int> b, int c) {
int y = 0;
for(int i = 0; i < 64; ++i){
y = y^(i*b[i]);
}
int a = y^c;
if(b[a])b[a] = 0;
else b[a] = 1;
return b;
}
int find_coin(std::vector<int> b) {
int c;
for(int i = 0; i < 64; ++i){
c = c^(i*b[i]);
}
return c;
}
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