#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define REP(i, n) for (int (i) = 0; (i) < (n); (i)++) #define FOR(i, a, b) for (int (i) = (a); (i) < (b); (i)++) #define RREP(i, a) for (int (i) = (a) - 1; (i) >= 0; (i)--) #define FORR(i, a, b) for (int (i) = (a) - 1; (i) >= (b); (i)--) #define PI acos(-1.0) #define DEBUG(C) cerr << C << endl; #define VI vector #define VII vector #define VL vector #define VLL vector #define VD vector #define VDD vector #define PII pair #define PDD pair #define PLL pair #define VPII vector #define ALL(a) (a).begin(), (a).end() #define SORT(a) sort(ALL(a)) #define REVERSE(a) reverse(ALL(a)) #define MP make_pair #define EB emplace_back #define FORE(a, b) for (auto &&a : b) #define FIND(s, n) (s.find(n) != s.end()) using namespace std; typedef long long LL; typedef unsigned long long ULL; const int INF = 1e9; const int MOD = INF + 7; const LL LLINF = 1e18; double dp[10010]; int main(void) { int H, A, D; cin >> H >> A >> D; REP(i, 10010) dp[i] = INF; dp[0] = 0; FOR(i, 1, H + 1) { if (i - A >= 0) dp[i] = min(dp[i - A] + 1, dp[i]); else dp[i] = min(dp[i], 1.0); if (i - D >= 0) dp[i] = min(dp[i], dp[i - D] + 1.5); else dp[i] = min(dp[i], 1.5); } cout << fixed << setprecision(10) << dp[H] << endl; }