#define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair i_i; typedef pair ll_i; typedef pair d_i; typedef pair ll_ll; typedef pair d_d; struct edge { int u, v; ll w; }; ll MOD = 1000000007; ll _MOD = 1000000009; double EPS = 1e-10; int INF = INT_MAX / 2; int main() { int N; double PA, PB; cin >> N >> PA >> PB; vector A(N), B(N); for (int i = 0; i < N; i++) cin >> A[i]; for (int i = 0; i < N; i++) cin >> B[i]; sort(A.begin(), A.end()); sort(B.begin(), B.end()); vector > pa(N, vector(N)), pb = pa; for (int i = 0; i < N; i++) { vector dp(N); dp[i] = 1; for (int t = 0; t < N; t++) { if (t == N - 1) { pa[i][t] += dp[0]; continue; } vector _dp(N); pa[i][t] += dp[0] * PA; _dp[0] += dp[0] * (1 - PA); for (int j = 1; j < N - t; j++) { pa[i][t] += dp[j] * (1 - PA) / (N - t - 1); _dp[j - 1] += dp[j] * ((1 - PA) / (N - t - 1) * (j - 1) + PA); _dp[j] += dp[j] * (1 - PA) / (N - t - 1) * (N - t - j - 1); } dp = _dp; } } for (int i = 0; i < N; i++) { vector dp(N); dp[i] = 1; for (int t = 0; t < N; t++) { if (t == N - 1) { pb[i][t] += dp[0]; continue; } vector _dp(N); pb[i][t] += dp[0] * PB; _dp[0] += dp[0] * (1 - PB); for (int j = 1; j < N - t; j++) { pb[i][t] += dp[j] * (1 - PB) / (N - t - 1); _dp[j - 1] += dp[j] * ((1 - PB) / (N - t - 1) * (j - 1) + PB); _dp[j] += dp[j] * (1 - PB) / (N - t - 1) * (N - t - j - 1); } dp = _dp; } } double e = 0; for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) if (A[i] > B[j]) for (int t = 0; t < N; t++) e += (A[i] + B[j]) * pa[i][t] * pb[j][t]; printf("%.10f\n", e); }