Subset Sum

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문제

Given a multiset of integers A=a_1,a_2,,a_nA = \\{a\_1, a\_2, \dots, a\_n\\}, print the least kk sums among all non-empty subsets in sorted order.

입력

The first line contains 22 integers n,kn, k (1n200000,1kmin2n1,2000001 \leq n \leq 200000, 1 \leq k \leq \min\\{2^n - 1, 200000\\}).

The second line contains nn integers a_1,a_2,,a_na\_1, a\_2, \dots, a\_n (a_i109|a\_i| \leq 10^9).

출력

kk integers denote the least kk sums.