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Q.cpp
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46 lines (37 loc) · 1.19 KB
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#include <bits/stdc++.h>
#define FOR(i,a,b) for(int i=(a),_b=(b); i<=_b; ++i)
#define FORD(i,a,b) for(int i=(a),_b=(b); i>=_b; --i)
#define REP(i,a) for(int i=0,_a=(a); i < _a; ++i)
#define DEBUG(X) { cout << #X << " = " << X << endl; }
#define PR(A,n) { cout << #A << " = "; FOR(_,1,n) cout << A[_] << ' '; cout << endl; }
#define PR0(A,n) { cout << #A << " = "; REP(_,n) cout << A[_] << ' '; cout << endl; }
#define sqr(x) ((x) * (x))
#define ll long long
#define SZ(x) ((int) (x).size())
using namespace std;
double solve3(double a) {
double S = sqrt(3.0) * a * a / 4.0;
double h = 2 * S / a;
double AO = 2 * h / 3;
double h3 = sqrt(a * a - AO * AO);
return h3 * S / 3.0;
}
double solve4(double a) {
double AO = sqrt(a*a + a*a) / 2;
double h4 = sqrt(a * a - AO * AO);
double S = a * a;
return h4 * S / 3.0;
}
double solve5(double a) {
double S = 0.25 * sqrt(5 * (5 + 2*sqrt(5))) * a * a;
double AO = sqrt(50 + 10*sqrt(5)) * a / 10.0;
double h5 = sqrt(a * a - AO * AO);
return h5 * S / 3.0;
}
int main() {
ios :: sync_with_stdio(0); cin.tie(0);
cout << (fixed) << setprecision(12);
double l3, l4, l5;
cin >> l3 >> l4 >> l5;
cout << solve3(l3) + solve4(l4) + solve5(l5) << endl;
}