#P9955. [USACO20DEC] Do You Know Your ABCs? B

[USACO20DEC] Do You Know Your ABCs? B

Problem Description

Farmer John’s cows are holding their daily meeting on the "mooZ" video conferencing platform. They invented a simple number game to make the meeting more fun.

Elsie has three positive integers AA, BB, and CC (ABCA\le B\le C). These numbers are secret, and she will not tell them directly to her sister Bessie. She tells Bessie seven integers in the range 11091\ldots 10^9 (not necessarily distinct), claiming that they are some permutation of AA, BB, CC, A+BA+B, B+CB+C, C+AC+A, and A+B+CA+B+C.

Given these seven integers, help Bessie find AA, BB, and CC. It can be proven that the answer is unique.

Input Format

Input one line containing seven space-separated integers.

Output Format

Output AA, BB, and CC, separated by spaces.

2 2 11 4 9 7 9
2 2 7

Hint

Subtask Properties

  • Subtasks 232-3 satisfy C50C\le 50.
  • Subtasks 4104-10 have no additional constraints.

Translated by ChatGPT 5