#include using namespace std; typedef unsigned long long ull; typedef long long ll; typedef pair pii; typedef pair pll; typedef pair pdd; typedef vector vl; typedef vector> vvl; //typedef vector> Graph; const ll mod = 1e9 + 7; //const ll mod = 998244353; #define REP(i,n) for(ll i=0;i<(ll)n;i++) #define dump(x) cerr << #x << " = " << (x) << endl; #define spa << " " << #define fi first #define se second template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; } template ostream& operator << (ostream& os, const pair v){ os << "(" << v.first << ", " << v.second << ")"; return os; } template ostream& operator << (ostream& os, const vector v){ for(int i = 0; i < (int)v.size(); i++){if(i > 0){os << " ";} os << v[i];} return os; } template ostream& operator << (ostream& os, const vector> v){ for(int i = 0; i < (int)v.size(); i++){if(i > 0){os << endl;} os << v[i];} return os; } template void debug(vector>&v,ll h,ll w){for(ll i=0;i void debug(vector&v,ll n){if(n!=0)cerr<> P >> Q >> R; random_device rnd; mt19937 mt(rnd()); discrete_distribution disc({(double)P, (double)Q, (double)R}); uniform_int_distribution<> uf(0, 1); time_t start = clock(); ll T = 0; vector cnt(6, 0); while((clock()-start) < 1.9*CLOCKS_PER_SEC){ T++; ll r = disc(mt); for(ll x=0;x<3;x++){ ll op; if(r==x){ ll d = uf(mt); op = (x+d+1)%3; }else{ op = 3 - r - x; } ll nokori = 3-op-x; if(r==x){ cnt[x]++; } if(r==nokori){ cnt[x+3]++; } } } double res = 0; for(ll i=0;i<6;i++){ double val = (double)cnt[i]/T; chmax(res, val); } printf("%.12f\n", res); return 0; }