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A.cpp
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#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define rep(i, a, b) for (auto i = (a); i < (b); ++i)
#define per(i, a, b) for (auto i = (b); i-- > (a); )
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) int((x).size())
#define lb(x...) lower_bound(x)
#define ub(x...) upper_bound(x)
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
signed main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
ll k, d, t; cin >> k >> d >> t;
ll p = (k + d - 1) / d * d;
ll c = k + p;
ll rem = (2 * t) % c;
ld fin = (2 * t) / c * p;
if (rem > 2 * k) fin += rem - k;
else fin += rem / 2.0;
cout << fixed << setprecision(1) << fin << '\n';
}