#include "bits/stdc++.h" using namespace std; typedef long long ll; typedef pair pii; typedef pair pll; const int INF = 1e9; const ll LINF = 1e18; template ostream& operator << (ostream& out,const pair& o){ out << "(" << o.first << "," << o.second << ")"; return out; } template ostream& operator << (ostream& out,const vector V){ for(int i = 0; i < V.size(); i++){ out << V[i]; if(i!=V.size()-1) out << " ";} return out; } template ostream& operator << (ostream& out,const vector > Mat){ for(int i = 0; i < Mat.size(); i++) { if(i != 0) out << endl; out << Mat[i];} return out; } template ostream& operator << (ostream& out,const map mp){ out << "{ "; for(auto it = mp.begin(); it != mp.end(); it++){ out << it->first << ":" << it->second; if(mp.size()-1 != distance(mp.begin(),it)) out << ", "; } out << " }"; return out; } /* 問題文============================================================ ================================================================= 解説============================================================= ================================================================ */ typedef long double ld; vector get(vector V,ld P){ vector ret; size_t sz = V.size(); for(int i = 0; i < sz-1;i++){ int nowsz = (int)V.size(); ld p = rand()*1.0/RAND_MAX; int x = 0; if(p < P) x = 0; else x = 1 + (sz-1-i)*(p-P)/(1-P); ret.push_back(V[x]); V.erase(V.begin()+x); } ret.push_back(*V.begin()); return ret; } ld solve(){ srand((unsigned int)time(NULL)); ld res = 0; int N; cin >> N; ld Pa,Pb; cin >> Pa >> Pb; vector A(N),B(N); for(auto& in:A) cin >> in; for(auto& in:B) cin >> in; sort(A.begin(),A.end()); sort(B.begin(),B.end()); ld win = 0; ld sum = 0; for(int kassa = 0; kassa < 200000; kassa++){ auto tA = get(A,Pa),tB = get(B,Pb); int score = 0; for(int i = 0; i < N;i++){ if(tA[i] > tB[i]) score += tA[i] + tB[i]; if(tA[i] < tB[i]) score -= tA[i] + tB[i]; } sum+=1; if(score>0)win+=1; } res = win/sum; return res; } int main(void) { cin.tie(0); ios_base::sync_with_stdio(false); cout << fixed << setprecision(12) << solve() << endl; return 0; }