← CSES Better

Hoof Paper Scissors Minus One

USACO · 2025 · US Open · bronze-1

Open official problem ↗
Ask AI

Open a hint-first prompt in a new AI chat. Grok may ask you to confirm before sending.

Open Claude Desktop

combinatorics

The organizer’s problem statement is available at the official source link.

sample trace

Hoof Paper Scissors Minus One: combinatorics walkthrough

Hoof Paper Scissors Minus One: use the linked editorial?s combinatorics idea on the published sample, then verify the displayed output.

Published input3 3 D WD LWD 1 2 2 3 1 1modelAlgorithm ideaCount the valid arrangements by splitting them into disjoint cases or independent choices.task resultExpected output0 0 5
  1. 1

    Cases

    Partition the possible configurations so each valid outcome belongs to one case.
  2. 2

    Count

    Count each case using the independent choices identified by the task.
  3. 3

    Combine

    Sum the disjoint case counts and apply any required modulus or bound.
  4. 4

    Verify the sample

    Use the published sample output to check the result of this idea on the displayed input.
Tools
1
2
3
4
5
6
7
8
9
10
11
12
Draft saved locally
|12 lines, 156 chars

Run output

Run your code to see output.