# 11322: 【原1322】milk3

### 题目描述

author: USACO 原OJ链接：https://acm.sjtu.edu.cn/OnlineJudge-old/problem/1322

## Description

Farmer John has three milking buckets of capacity A, B, and C liters. Each of the numbers A, B, and C is an integer from 1 through 20, inclusive. Initially, buckets A and B are empty while bucket C is full of milk. Sometimes, FJ pours milk from one bucket to another until the second bucket is filled or the first bucket is empty. Once begun, a pour must be completed, of course. Being thrifty, no milk may be tossed out.

Write a program to help FJ determine what amounts of milk he can leave in bucket C when he begins with three buckets as above, pours milk among the buckets for a while, and then notes that bucket A is empty.

## Input Format

A single line with the three integers A, B, and C.

## Output Format

A single line with a sorted list of all the possible amounts of milk that can be in bucket C when bucket A is empty.

## Sample Input 1:

``````8 9 10
``````

## Sample Output 1:

``````1 2 8 9 10
``````

## Sample Input 2:

``````2 5 10
``````

## Sample Output 2:

``````5 6 7 8 9 10
``````

## Oops! 本题目还没有解答！

OJ翻了一新，但本解答集还大多用的是2017-2019级，甚至更早的同学们贡献的答案。