SDE Path

Print All Subsequences with Sum K

Medium

Print All Subsequences with Sum K

Generate all subsequences of an array whose elements sum to a given K.

Input format

The first line contains N (N ≤ 12) and K. The second line contains N integers.

Output format

Print every subsequence whose elements sum to K, one per line as space-separated values in their original order. Sort the lines lexicographically as strings. If none exists, print -1.

Constraints

  • Values fit in a 64-bit signed integer
  • Trailing whitespace and a trailing newline are ignored by the judge

Read from stdin, write to stdout. Sample cases below show the exact format.

Sample cases

Example 1
Input
3 3
1 2 3
Expected output
1 2
3
Example 2
Input
4 100
1 2 3 4
Expected output
-1