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18 lines
394 B
C++
18 lines
394 B
C++
#include <bits/stdc++.h>
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using namespace std;
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int n;
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double f[10005], g[10005];
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int main() {
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cin >> n;
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f[n] = g[n] = 0;
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for (int i = n - 1; i >= 0; i--) {
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f[i] = f[i + 1] + 1.00 * n / (n - i);
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g[i] = 1.00 * i / (n - i) * (2 * f[i] + 1) + g[i + 1] + 2 * f[i + 1] + 1;
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}
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cout << fixed << setprecision(2) << 1.00 * (g[0] + f[0]) / 2 << endl;
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return 0;
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}
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