#!/usr/bin/env ruby n, m = gets.split.map(&:to_i) as = gets.split.map(&:to_i) as_sum = Array.new(n + 1) as_sum[0] = 0 n.times do |i| as_sum[i + 1] = as_sum[i] + as[i] end sum = as_sum[n] dp = Array.new(sum * 2, 0) dp[0] = 1 while m != 0 n.times do |i| a = as[i] (sum - 1 + as_sum[i + 1]).downto(a) do |x| dp[x] += dp[x - a] if dp[x] >= 1234567891 dp[x] -= 1234567891 end end end sum.times do |x| dp[x] = dp[x << 1 | (m & 1)] end dp.fill(0, sum ... sum * 2) m >>= 1 end p dp[0]