import itertools def read_data(): N, V = map(int, input().split()) Cs = list(map(int, input().split())) return N, V, Cs def select_most_efficient(Ds): n = 0 cost = 1 record = None for k, d in enumerate(Ds, 1): det = k * cost - n * d if det > 0: n = k cost = d record = k - 1 return record def solve(N, V, Cs): if V <= N: return sum(Cs) if N == 1: return Cs[0] * V V -= N Ds = list(itertools.accumulate(Cs)) eff = select_most_efficient(Ds) return calc_cost(N, V, Cs, Ds, eff) + sum(Cs) def calc_cost(N, V, Cs, Ds, idx): d = Ds[idx] m, r = divmod(V, idx + 1) if r == 0: return d * m dp = get_dp(N, Ds, idx) # V <= istart * (idx + 1) + N * idx i0 = max(0, 1 + (V - N * idx - 1) // (idx + 1)) return min(d * i + dp[V - (idx + 1) * i] for i in range(i0, m + 1)) def get_dp(N, Ds, m): '''コスト Ds[i], 容量 i のアイテムについて、 dp[k][n][v] k 番目までのアイテムを 合計 n 個使ったときに、容量を v とする最小コストの値 dp[k][n][v] = min(dp[k - 1][n][v], dp[k][n - 1][v - i] + Ds[i]) ''' dp = [[float('inf')] * (N * i + 1) for i in range(m + 1)] dp[0][0] = 0 for i, d in enumerate(Ds, 1): for n, (dp_n, prev_dp) in enumerate(zip(dp[1:], dp[:-1]), 1): for v in range(i, i * n + 1): dp_n[v] = min(dp_n[v], prev_dp[v - i] + d) dp_min = dp[m] for dp_n in dp: for i, dp_ni in enumerate(dp_n): dp_min[i] = min(dp_min[i], dp_ni) return dp_min N, V, Cs = read_data() print(solve(N, V, Cs))