#include <bits/stdc++.h>
using namespace std;
int main() {
long double ret = 0.0, mul = 1.0;
for(int i = 1; i <= 50; i++) mul *= 2.0, ret += 1.0 * i * i / mul;
cout << fixed << setprecision(15) << ret << endl;
return 0;
}
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