#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; } unsigned xor128() { static unsigned x = 123456789, y = 362436069, z = 521288629, w = 88675123; unsigned t = x ^ (x << 11); x = y; y = z; z = w; return w = w ^ (w >> 19) ^ (t ^ (t >> 8)); } double xor128d() { return xor128() * 2.3283064365386963e-10; } 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]); rep(k, 2) sort(all(A[k])); int win = 0, Iter = 500000; rep(ii, Iter) { int a[2] = { (1 << N)-1, (1 << N)-1 }; int points[2] = { 0, 0 }; rep(r, N) { int card[2] = { -1, -1 }; rep(k, 2) { double Q = P[k]; int i = a[k]; int p = N, q = -1; rep(j, N) if(i >> j & 1) { -- p; if(q == -1) q = j; } if(i == (1 << q)) { card[k] = A[k][q]; a[k] = 0; }else { double rnd = xor128d(); if(rnd < Q) { card[k] = A[k][q]; a[k] = i & ~(1 << q); }else { rnd -= Q; double step = (1 - Q) / (N - 1 - p); reu(j, q+1, N) if(i >> j & 1) { if(rnd < step) { card[k] = A[k][j]; a[k] = i & ~(1 << j); break; }else { rnd -= step; } } } } } points[card[0] > card[1] ? 0 : 1] += card[0] + card[1]; } if(points[0] > points[1]) ++ win; } printf("%.7f\n", win * 1. / Iter); return 0; }