def read_data(): N, Pa, Pb = input().split() N = int(N) Pa = float(Pa) Pb = float(Pb) As = list(map(int, input().split())) Bs = list(map(int, input().split())) return N, Pa, Pb, As, Bs def solve(N, PA, PB, As, Bs): As.sort() Bs.sort() pa = calc_occurence_rates(N, PA) pb = calc_occurence_rates(N, PB) score = 0 for i, ai in enumerate(As): for j, bj in enumerate(Bs): if ai <= bj: break p = sum(paik * pbjk for paik, pbjk in zip(pa[i], pb[j])) score += (ai + bj) * p return score def calc_occurence_rates(N, p): dp = [[[0] * (N - i) for _ in range(N)] for i in range(N)] for i in range(N): dp[0][i][i] = 1.0 for k in range(1, N): pp = (1.0 - p) / (N - k) for i in range(N): dpki = dp[k][i] prev = dp[k-1][i] for j in range(N - k): dpki[j] += prev[j] * pp * (N - k - j) # jより大きいカードが選ばれた dpki[j] += prev[j + 1] * (p + pp * j) # j+1より小さいカードが選ばれた survived = [list(map(sum, dpk)) for dpk in dp] for k in range(N-1): sk = survived[k] for i, skki in enumerate(survived[k + 1]): sk[i] -= skki return list(zip(*survived)) if __name__ == '__main__': N, Pa, Pb, As, Bs = read_data() print(solve(N, Pa, Pb, As, Bs))