Number Game (APCS 2022-06 Beginner)

Points 100 1.0s 256M

You are given three integers \(A_1\), \(A_2\), \(A_3\), each between \(1\) and \(9\).

First output a positive integer \(P\), the count of the mode, that is, the number of times the most frequent digit appears. Then, after removing duplicates from the three input numbers (keeping one of each value), output the remaining numbers in decreasing order.

Input

One line with three integers between \(1\) and \(9\), separated by spaces.

Constraints

  • \(1 \le A_1, A_2, A_3 \le 9\)

Output

On one line, first output \(P\) (how many times the most frequent digit appears), then the distinct values in decreasing order, with single spaces between numbers.

Scoring

The time limit for each test case is \(1\) second; your score is the sum over the test cases you pass. The subtasks are:

  • Subtask 1 (\(60\) points): all three numbers are distinct.
  • Subtask 2 (\(40\) points): no additional constraints.

Sample Input 1

6 6 6

Sample Output 1

3 6

Sample Input 2

7 9 7

Sample Output 2

2 9 7

Sample Input 3

4 1 8

Sample Output 3

1 8 4 1

Source

APCS programming exam, June 2022, Problem 1.

Problem page help

Keyboard shortcuts

Main features

  • Sample tests — Runs the sample cases bundled with the problem and auto-compares against the expected output.
  • Custom test — Run your code with your own stdin. Optionally tick the "Compare with expected (diff)" box to verify against expected output line-by-line.
  • Template — Paste the default code template you set on your profile page.
  • Collab — Edit this problem together with classmates in real time.
  • Auto-draft — Editor contents auto-save to your browser every 1.5 seconds (per account / problem / language).
  • Submit — Send your code to the judge for grading; returns AC / WA / TLE etc.

Limits

  • Source code: at most 65,536 characters
  • Custom test stdin and expected output: at most 1 MB each (≈1 million characters)
  • Custom test and sample test share the sandbox; about 1 request per 3 s per user (sample test: 1 per 1 s)
  • Custom test and sample test both have a 15 second wall-clock cap (the official judge still uses the problem time limit)
  • Interactive problems do not offer custom test (cannot simulate interaction with the judge).
  • Submitting has no rate limit, but rapid repeated submissions on the same problem are treated as score farming.