// main.cpp を綺麗に書き直したバージョン #include using namespace std; typedef unsigned long long ull; typedef long long ll; typedef pair pii; typedef pair pll; typedef pair pdd; typedef vector vll; typedef vector> vvll; //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< A(15, 0); pdd dp[600][1050]; double calc_p_ij(int i, int j, double p_minus, double q_plus){ double r = 1.0/A[i] + 1.0/A[j] - 1.0/(A[i] * A[j]); return ((1.0/A[i]) * q_plus + (1.0-1.0/A[i]) * (1.0/A[j]) * p_minus)/r; } double calc_q_ij(int i, int j, double p_minus, double q_plus){ double r = 1.0/A[i] + 1.0/A[j] - 1.0/(A[i] * A[j]); return ((1.0-1.0/A[j]) * (1.0/A[i]) * q_plus + (1.0/A[j]) * p_minus)/r; } // conversion number to bit string num2bit(ll num, ll len){ string bit = ""; REP(i, len){ bit += char('0'+(num>>i & 1)); } //reverse(bit.begin(), bit.end()); return bit; } pdd rec(int D, int mask){ if(dp[D][mask].first >= 0.0) return dp[D][mask]; if(mask==0){ if(D>300) return {1.0, 1.0}; else return {0.0, 0.0}; } double p = 0.0; REP(i, N){ if(mask>>i & 1){ double p_min = 1.0; REP(j, N){ if(mask>>j & 1){ double p_minus = rec(D-A[j], mask^(1<>j & 1){ double q_max = 0.0; REP(i, N){ if(mask>>i & 1){ double p_minus = rec(D-A[j], mask^(1<> N; REP(i, N) cin >> A[i]; REP(i, 600)REP(j, 1050) dp[i][j] = {-1.0, -1.0}; auto res = rec(300, (1ll<>i & 1) ? A[i] : 0); // } // cerr << endl; // cerr << "p: " << endl; // REP(i, N){ // if(mask>>i & 1){ // REP(j, N){ // if(mask>>j &1){ // double p_minus = rec(D-A[j], mask^(1<>i & 1){ // REP(j, N){ // if(mask>>j &1){ // double p_minus = rec(D-A[j], mask^(1<