n, m = map(int, input().split()) if n == 2: print(0); exit() c = list(map(int, input().split())) def move_prob(pos, P_list): if pos == n-1: # 最後の1回はズル return sum(P_list[-1-m:]) # print(pos, P_list[max(0, pos-m):min(n-m-1, pos)]) prob = sum(P_list[max(0, pos-m):min(n-m-1, pos)]) / m return prob OLD_P = [1] + [0]*(n-1) EXP_GOLD = 0 for _ in range(n-m+1): # サイコロを振って確率の更新 NEW_P = [move_prob(pos, OLD_P) for pos in range(n)] # 部分期待値の計算 subgold = sum([i*j for i, j in zip(c, NEW_P[1:-1])]) EXP_GOLD += subgold OLD_P = NEW_P # print('subgold', subgold) print(OLD_P) print(EXP_GOLD)