CacheDB: 2026-04-04 07:07:24

2884-interruptores

interruptores

B Difficulty

README.md Preview

# 2884 - Interruptores | **Version**: 0.5
`interruptores` | Difficulty: **B** | **Updated**: 2026-05-16 11:51:21

**Sync Status:** ✅ Local: OK | ❌ Maratona: Not in DB | ❌ API: Not in DB

## Overview
Simule o acionamento sequencial de interruptores que invertem estados de lâmpadas para descobrir quando todas apagarão.

## Metadata
- **Author**: Unknown
- **Editorial**: O problema pede para simularmos o acionamento de uma sequência fixa de N interruptores 
várias vezes até que todas as lâmpadas se apaguem. Como a operação de apertar um
interruptor inverte o estado das lâmpadas ligadas a ele, apertar o mesmo interruptor
duas vezes anula o seu efeito (XOR).
Se simularmos a sequência de 1 até N por duas vezes completas (2*N passos), todos os 
interruptores terão sido apertados exatamente duas vezes. Isso significa que após 2*N
passos, o estado das lâmpadas voltará a ser exatamente igual ao estado inicial.
Logo, se todas as lâmpadas não se apagarem dentro dos primeiros 2*N passos, elas nunca 
mais se apagarão e a resposta é -1. O problema se resume a uma simples simulação linear O(N * M).

- **Success Msg**: Simulação inteligente! Perceber que o estado reseta após 2 rodadas é o grande truque.

| Time Limit | Memory Limit | Time Complexity | Space Complexity |
| :--- | :--- | :--- | :--- |
| -s | -MB | O(N * M) | - |

## Stats
| Metric | Count |
| :--- | :--- |
| Test Scenarios | 44 |
| Solutions | 1 |

## Statements
| ID | Status | Level | Natural Languages | Skills |
| :--- | :--- | :--- | :--- | :--- |
| `a-interruptores` | ✅ | A | pt | simulation-ad-hoc |

## Test Scenarios
| Name | Description | Count | Type | Level | Skills | DB Sync |
| :--- | :--- | :--- | :--- | :--- | :--- | :--- |
| **Teste de Carga** | N e M máximos (1000). | 10 | Performance | A | simulation-ad-hoc | - |
| **Fuzzing Aleatório** | Casos variados e aleatórios. | 30 | TDD | B | arrays | - |
| **Casos Extremos** | Nenhuma lâmpada acesa inicialmente, e ciclos infinitos. | 3 | TDD | C | arrays | - |
| **Exemplo** | Exemplo do enunciado. | 1 | TDD | D | basic-io | - |

## Solutions
- **Simulação 2N** (`a-otima-basica`)
  - Languages: `cpp, py, java`

## Components
- ✅ Statements
- ✅ Solutions
- ✅ Test Cases

Actions

Workflow do Problema

Local Workspace

Pasta criada no disco
Metadados

Informações básicas preenchidas
Validação

Soluções passam nos testes
4

Sincronização

Enviado para DB e GitLab

Components

Statements ✅
Solutions 1 ✅
Test Cases 44 ✅

Database Info

DB ID 2884

Name Interruptores

Time Limit 1.0s

Mem Limit 250 MB

Version 0.8

Difficulty Level O

Test Cases 0

🚀 Quick Prompts

Structure Scaffolding

Generate metadata & folder structure

ID: 1.1

Context & Description

Draft description & editorial

ID: 1.2

Statements List

⚠️

Warning: The defaultStatement defined in metadata (a-interruptores) was not found in the file system.

ID	Level	Natural Languages	Skills	Status	Action
a-interruptores	A	a c d	simulation-ad-hoc	⚠️

Statement Details

Select a statement above to view details.

Actions

Statistics

1 Total Statements

By Type (ID)

a-interruptores 1

By Level

Level A 1

🚀 Quick Prompts

Statement Analysis

Analyze ambiguity & clarity

ID: 2.1

WOK Statement Generation

Rewrite in WOK Universe theme

ID: 2.2

Statement Expansion

Expand to 4 difficulty levels

ID: 2.3

Testcase Scenarios Sync

YAML Source vs Database

Slug	Level	Name	Type	Skills	Status	Actions
`a-performance`	A	Teste de Carga N e M máximos (1000).	PERFORMANCE	simulation-ad-hoc 1pts	Not in DB	Details
`b-fuzzing`	B	Fuzzing Aleatório Casos variados e aleatórios.	TDD	arrays 1pts	Not in DB	Details
`c-edge`	C	Casos Extremos Nenhuma lâmpada acesa inicialmente, e ciclos infinitos.	TDD	arrays 1pts	Not in DB	Details
`d-sample`	D	Exemplo Exemplo do enunciado.	TDD	basic-io 1pts	Not in DB	Details

Local Test Cases (Disk)

Scenario: a-performance 10 cases

Name	Files (Input / Output)	Actions
inter-01 📄 📷	Input `inter-01.in` a8494c74a8b5b8c1a9eb213940c2cdf4 Output `inter-01.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-02 📄 📷	Input `inter-02.in` a33466a63f2b7bbf4b0ded62fb09ae07 Output `inter-02.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-03 📄 📷	Input `inter-03.in` 7c6b1bc6ecaf8e88d345249b0027b59a Output `inter-03.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-04 📄 📷	Input `inter-04.in` 7405b8bf25e7c3a6f716c6ed2d4f87e3 Output `inter-04.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-05 📄 📷	Input `inter-05.in` e99b8f20ed9ebdeaebb2067e83b83927 Output `inter-05.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-06 📄 📷	Input `inter-06.in` a414594c5a2a8b5d5f0c2a300e619c86 Output `inter-06.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-07 📄 📷	Input `inter-07.in` 4971d524b037b3d5e44bb18fc47adae3 Output `inter-07.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-08 📄 📷	Input `inter-08.in` 38a42e30fdb1e2f22e821dace5d5fd5b Output `inter-08.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-09 📄 📷	Input `inter-09.in` dfed73e8ef593dc55137920c7566eee4 Output `inter-09.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-10 📄 📷	Input `inter-10.in` 52d174e32a69f5a575a0bcff89a6782f Output `inter-10.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details

Scenario: b-fuzzing 30 cases

Name	Files (Input / Output)	Actions
inter-01 📄 📷	Input `inter-01.in` e8e4e67933a7235e2d07939f2800eef1 Output `inter-01.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-02 📄 📷	Input `inter-02.in` a9f74120df66a9b007668a08fd0540a2 Output `inter-02.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-03 📄 📷	Input `inter-03.in` 18456d2a4083131c76687fcfd6d8a63f Output `inter-03.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-04 📄 📷	Input `inter-04.in` c57fed7da451b328df5263cf295e7afa Output `inter-04.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-05 📄 📷	Input `inter-05.in` 0be2153ca44ffdebb8884157994d53b4 Output `inter-05.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-06 📄 📷	Input `inter-06.in` b26e23a117a996b53e1be4cabb75ac18 Output `inter-06.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-07 📄 📷	Input `inter-07.in` ed14e263bc4d39a01d37f7a19cc08857 Output `inter-07.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-08 📄 📷	Input `inter-08.in` 2836578f990c14c84f8577d0f47ba178 Output `inter-08.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-09 📄 📷	Input `inter-09.in` 3d8c35fa426ff648da3652e294807bd0 Output `inter-09.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-10 📄 📷	Input `inter-10.in` a3201136480119165a6d750ef80b63de Output `inter-10.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-11 📄 📷	Input `inter-11.in` 226c74765e6da7db6a8545c5d627bf3a Output `inter-11.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-12 📄 📷	Input `inter-12.in` 2aaf32e79b6189cb378ad0fc6563bbce Output `inter-12.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-13 📄 📷	Input `inter-13.in` 69a9b979f019d3f3226c2efeae963a96 Output `inter-13.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-14 📄 📷	Input `inter-14.in` e36c8d2849f30831b430e3031f52dbb5 Output `inter-14.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-15 📄 📷	Input `inter-15.in` c5e0870c2eca995761aceae4350d13ec Output `inter-15.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-16 📄 📷	Input `inter-16.in` 0675afb378d8fb5b478235a85d6e3ad1 Output `inter-16.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-17 📄 📷	Input `inter-17.in` 3d1578d544406eb485e0cc64001991a3 Output `inter-17.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-18 📄 📷	Input `inter-18.in` bff4f558e15594dc08d8d7714a1c1db2 Output `inter-18.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-19 📄 📷	Input `inter-19.in` 53a6a309b4ff52865cef23a0ea8de8bf Output `inter-19.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-20 📄 📷	Input `inter-20.in` 32c8326cfef7a63b5bef0f868e9d2d4e Output `inter-20.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-21 📄 📷	Input `inter-21.in` 793a347bf977518b37c5702c3a6303f2 Output `inter-21.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-22 📄 📷	Input `inter-22.in` 72af0623cacbdf81d825d61a0afc5278 Output `inter-22.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-23 📄 📷	Input `inter-23.in` f8d8f58b4c450f4e72e06f439aff0832 Output `inter-23.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-24 📄 📷	Input `inter-24.in` a59fc084cb67d98011e0e0d007f8bafa Output `inter-24.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-25 📄 📷	Input `inter-25.in` d3dd8d991423bca5e8faa4f773dcea22 Output `inter-25.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-26 📄 📷	Input `inter-26.in` d75fcb15a4da2c4d13b3a25e929d3a63 Output `inter-26.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-27 📄 📷	Input `inter-27.in` f5decf8e0e3616aa5cf97bf8742c118f Output `inter-27.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-28 📄 📷	Input `inter-28.in` 836696b6efecd30330ddab2b9cbb7c14 Output `inter-28.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-29 📄 📷	Input `inter-29.in` 0bd4a9d99211092b8e936c1a5936ad3c Output `inter-29.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details
inter-30 📄 📷	Input `inter-30.in` 13e292bffc76f218748a858142264fec Output `inter-30.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details

Scenario: c-edge 3 cases

Name	Files (Input / Output)	Actions
inter-01 📄 📷	Input `inter-01.in` 239301955bab69d941b27a0410734295 Output `inter-01.out` b026324c6904b2a9cb4b88d6d61c81d1	🔍 Details
inter-02 📄 📷	Input `inter-02.in` daec6248e81cfbb130b6c217d7de7d73 Output `inter-02.out` 897316929176464ebc9ad085f31e7284	🔍 Details
inter-03 📄 📷	Input `inter-03.in` 02c648f9983da0f33ac77f5d02dd563b Output `inter-03.out` eb844645e8e61de0a4cf4b991e65e63e	🔍 Details

Scenario: d-sample 1 cases

Name	Files (Input / Output)	Status	Actions
interruptores-01 📄 📷	Input `interruptores-01.in` d90f707f89c7bbb22d20b4c58eae0c1a Output `interruptores-01.out` 1dcca23355272056f04fe8bf20edfce0		🔍 Details

📊 Sync Statistics

Total (Disk) 44

Total (Database) 0

✓ Synchronized 0

⚠ Desynchronized 44

Duplicates (MD5)

Duplicates in (MD5) 0

Desync = (DB missing on Disk) + (Disk missing on DB)

Actions

Simulação 2N

ID: a-otima-basica

Simulação direta parando em 2N

Implementations

Solutions Check Report

## Solutions Check Report (Detalhado / Debug)
**Generated**: 2026-06-01T16:46:28.209140
**Solution**: `solutions/a-otima-basica/inter.py`

### Compilation
✅ No compilation needed

### Resultados

<table class="results-table"><thead><tr><th>Test Case</th><th>Result</th><th>Time (s)</th></tr></thead><tbody>
<tr class="scenario-row"><td colspan="3"><strong>a-performance - Performance</strong></td></tr>
<tr id="row-a-performance-inter-01-in"><td>inter-01.in</td><td>✅ PASS</td><td>0.149</td></tr>
<tr id="row-a-performance-inter-02-in"><td>inter-02.in</td><td>✅ PASS</td><td>0.148</td></tr>
<tr id="row-a-performance-inter-03-in"><td>inter-03.in</td><td>✅ PASS</td><td>0.147</td></tr>
<tr id="row-a-performance-inter-04-in"><td>inter-04.in</td><td>✅ PASS</td><td>0.153</td></tr>
<tr id="row-a-performance-inter-05-in"><td>inter-05.in</td><td>✅ PASS</td><td>0.149</td></tr>
<tr id="row-a-performance-inter-06-in"><td>inter-06.in</td><td>✅ PASS</td><td>0.153</td></tr>
<tr id="row-a-performance-inter-07-in"><td>inter-07.in</td><td>✅ PASS</td><td>0.146</td></tr>
<tr id="row-a-performance-inter-08-in"><td>inter-08.in</td><td>✅ PASS</td><td>0.150</td></tr>
<tr id="row-a-performance-inter-09-in"><td>inter-09.in</td><td>✅ PASS</td><td>0.153</td></tr>
<tr id="row-a-performance-inter-10-in"><td>inter-10.in</td><td>✅ PASS</td><td>0.151</td></tr>
<tr class="scenario-row"><td colspan="3"><strong>b-fuzzing - TDD</strong></td></tr>
<tr id="row-b-fuzzing-inter-01-in"><td>inter-01.in</td><td>✅ PASS</td><td>0.013</td></tr>
<tr id="row-b-fuzzing-inter-02-in"><td>inter-02.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-03-in"><td>inter-03.in</td><td>✅ PASS</td><td>0.014</td></tr>
<tr id="row-b-fuzzing-inter-04-in"><td>inter-04.in</td><td>✅ PASS</td><td>0.015</td></tr>
<tr id="row-b-fuzzing-inter-05-in"><td>inter-05.in</td><td>✅ PASS</td><td>0.017</td></tr>
<tr id="row-b-fuzzing-inter-06-in"><td>inter-06.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-07-in"><td>inter-07.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-08-in"><td>inter-08.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-09-in"><td>inter-09.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-10-in"><td>inter-10.in</td><td>✅ PASS</td><td>0.013</td></tr>
<tr id="row-b-fuzzing-inter-11-in"><td>inter-11.in</td><td>✅ PASS</td><td>0.013</td></tr>
<tr id="row-b-fuzzing-inter-12-in"><td>inter-12.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-13-in"><td>inter-13.in</td><td>✅ PASS</td><td>0.014</td></tr>
<tr id="row-b-fuzzing-inter-14-in"><td>inter-14.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-15-in"><td>inter-15.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-16-in"><td>inter-16.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-17-in"><td>inter-17.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-18-in"><td>inter-18.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-19-in"><td>inter-19.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-20-in"><td>inter-20.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-21-in"><td>inter-21.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-22-in"><td>inter-22.in</td><td>✅ PASS</td><td>0.013</td></tr>
<tr id="row-b-fuzzing-inter-23-in"><td>inter-23.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-24-in"><td>inter-24.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-25-in"><td>inter-25.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-26-in"><td>inter-26.in</td><td>✅ PASS</td><td>0.013</td></tr>
<tr id="row-b-fuzzing-inter-27-in"><td>inter-27.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-28-in"><td>inter-28.in</td><td>✅ PASS</td><td>0.013</td></tr>
<tr id="row-b-fuzzing-inter-29-in"><td>inter-29.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-b-fuzzing-inter-30-in"><td>inter-30.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr class="scenario-row"><td colspan="3"><strong>c-edge - TDD</strong></td></tr>
<tr id="row-c-edge-inter-01-in"><td>inter-01.in</td><td>✅ PASS</td><td>0.013</td></tr>
<tr id="row-c-edge-inter-02-in"><td>inter-02.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr id="row-c-edge-inter-03-in"><td>inter-03.in</td><td>✅ PASS</td><td>0.012</td></tr>
<tr class="scenario-row"><td colspan="3"><strong>d-sample - TDD</strong></td></tr>
<tr id="row-d-sample-interruptores-01-in"><td>interruptores-01.in</td><td>✅ PASS</td><td>0.012</td></tr>
</tbody></table>

✅ Verification

Validate your solutions against test cases using the metadata rules.

🚀 Quick Prompts

Solution Generation

Create Optimal/Sub-optimal code

ID: 3.1

📄 Enunciados

A 1

Idiomas: pt

💡 Soluções

cpp: 1 py: 1 java: 1

✅ 0 ❌ 0

🧪 Casos de Teste

4 Scen.

Total no Disco 44

Total no Banco 0

Sincronização 0.0%

Metadata (form)

Version

Name

Slug

ID Beecrowd

Difficulty

Time Complexity

Space Complexity

Time Limit (s)

Memory Limit (MB)

Origin

Author (Problem)

Author (Editorial)

Default Statement

Topics

Skills

Description

Editorial

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metadata.yaml

# yaml-language-server: $schema=https://api.mundodocodigo.com.br/api/public/json/wok-problem.json --- version: "0.5" id: 2884 name: "Interruptores" slug: "interruptores" timelimit: 1.0 memlimit: 1024 difficultyLevelId: B author: "Maratona de Programação SBC 2018 Brazil" origin: "Beecrowd" description: 'Simule o acionamento sequencial de interruptores que invertem estados de lâmpadas para descobrir quando todas apagarão.' editorial: | O problema pede para simularmos o acionamento de uma sequência fixa de N interruptores várias vezes até que todas as lâmpadas se apaguem. Como a operação de apertar um interruptor inverte o estado das lâmpadas ligadas a ele, apertar o mesmo interruptor duas vezes anula o seu efeito (XOR). Se simularmos a sequência de 1 até N por duas vezes completas (2*N passos), todos os interruptores terão sido apertados exatamente duas vezes. Isso significa que após 2*N passos, o estado das lâmpadas voltará a ser exatamente igual ao estado inicial. Logo, se todas as lâmpadas não se apagarem dentro dos primeiros 2*N passos, elas nunca mais se apagarão e a resposta é -1. O problema se resume a uma simples simulação linear O(N * M). successmsg: 'Simulação inteligente! Perceber que o estado reseta após 2 rodadas é o grande truque.' timeComplexity: O(N * M) skills: - simulation-ad-hoc - arrays statements: - id: a-interruptores testScenarioLevel: A thematicSkills: - skill: simulation-ad-hoc points: 2 testScenarios: - id: a-performance name: Teste de Carga description: "N e M máximos (1000)." helpTip: "Você não passará se não limitar a simulação a 2*N passos." level: A testType: PERFORMANCE skills: - skill: simulation-ad-hoc points: 1 - id: b-fuzzing name: Fuzzing Aleatório description: "Casos variados e aleatórios." helpTip: "Simulação robusta." level: B testType: TDD skills: - skill: arrays points: 1 - id: c-edge name: Casos Extremos description: "Nenhuma lâmpada acesa inicialmente, e ciclos infinitos." helpTip: "Lidou com 0 lâmpadas acesas de início? A resposta é 0." level: C testType: TDD skills: - skill: arrays points: 1 - id: d-sample name: Exemplo description: "Exemplo do enunciado." helpTip: "Passe no exemplo." level: D testType: TDD skills: - skill: basic-io points: 1 solutions: - id: a-otima-basica name: Simulação 2N description: Simulação direta parando em 2N level: A implementations: - language: cpp paradigm: Imperative main: inter.cpp filenames: - inter.cpp - language: py paradigm: Imperative main: inter.py filenames: - inter.py - language: java paradigm: OO main: Interruptores filenames: - Interruptores.java authorSlugProblem: Unknown defaultStatement: a-interruptores

2884-interruptores

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