#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)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) #if defined(_MSC_VER) || __cplusplus > 199711L #define aut(r,v) auto r = (v) #else #define aut(r,v) __typeof(v) r = (v) #endif #define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it) #define all(o) (o).begin(), (o).end() #define pb(x) push_back(x) #define mp(x,y) make_pair((x),(y)) #define mset(m,v) memset(m,v,sizeof(m)) #define INF 0x3f3f3f3f #define INFL 0x3f3f3f3f3f3f3f3fLL using namespace std; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template inline void amin(T &x, U y) { if(y < x) x = y; } template inline void amax(T &x, U y) { if(x < y) x = y; } int main() { int N; double P[2]; scanf("%d%lf%lf", &N, &P[0], &P[1]); vector A[2]; rep(k, 2) A[k].resize(N); rep(i, N) scanf("%d", &A[0][i]); rep(i, N) scanf("%d", &A[1][i]); vector > prob[2]; rep(k, 2) { sort(all(A[k])); prob[k].assign(N, vector(N, 0.)); vector > &v = prob[k]; double Q = P[k]; vector dp(1 << N, 0); dp[(1 << N)-1] = 1; for(int i = (1 << N)-1; i > 0; -- i) { double x = dp[i]; if(x < 1e-100) continue; int p = N, q = -1; rep(j, N) if(i >> j & 1) { -- p; if(q == -1) q = j; } if(i == (1 << q)) { dp[0] += x; v[p][q] += x; }else { dp[i & ~(1 << q)] += x * Q; v[p][q] += x * Q; double y = x * (1-Q) / (N - 1 - p); reu(j, q+1, N) if(i >> j & 1) { dp[i & ~(1 << j)] += y; v[p][j] += y; } } } // rep(i, N) rep(j, N) // cerr << k << ", " << i << ", " << j << ": " << v[j][i] << endl; } double ans = 0; rep(i, N) { rep(j, N) if(A[0][i] > A[1][j]) { double p = 0; rep(k, N) p += prob[0][k][i] * prob[1][k][j]; ans += p * (A[0][i] + A[1][j]); } } printf("%.12f\n", ans); return 0; }