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0746-o-problema-do-3n-1

o-problema-do-3n-1

E Difficulty

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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 0 ✅
Test Cases 60 ✅

Database Info

DB ID 746

Name O problema do 3N + 1

Time Limit 20.0s

Mem Limit 195 MB

Version 0.8

Difficulty Level O

Test Cases 2

🚀 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-o-problema-do-3n-1) was not found in the file system.

ID	Level	Natural Languages	Skills	Status	Action
a-o-problema-do-3n-1	A	a b c d	mathematics	⚠️

Statement Details

Select a statement above to view details.

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Statistics

1 Total Statements

By Type (ID)

a-o-problema-do-3n-1 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

Database Test Cases 2 cases

ID	Rank	Scenario	Filename	MD5	Description	Image	Disk Sync
13406	1	—	-	I `b026324c6904b2a9cb4b88d6d61c81d1`	-	-	✅ Linked
13406	1	—	-	O `897316929176464ebc9ad085f31e7284`	-	-	✅ Linked
13407	2	—	-	I `6d7fce9fee471194aa8b5b6e47267f03`	-	-	✅ Linked
13407	2	—	-	O `84bc3da1b3e33a18e8d5e1bdd7a18d7a`	-	-	✅ Linked

📊 Sync Statistics

Total (Disk) 60

Total (Database) 2

✓ Synchronized 2

⚠ Desynchronized 58

Duplicates (MD5)

27 🛠️

Duplicates in (MD5) 0

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

Actions

Testcase Scenarios Sync

YAML Source vs Database

Slug	Level	Name	Type	Skills	Status	Actions
`a-performance`	A	Valores Grandes (N até 10^6) Testa a convergência para valores grandes de N.	PERFORMANCE	loops 1pts	Not in DB	Details
`b-edge-cases`	B	Casos Limites N=1 (zero passos), potências de 2, valores extremos.	TDD	condicionais 1pts	Not in DB	Details
`c-basic`	C	Valores Pequenos N de 2 a 100.	TDD	simulation-ad-hoc 1pts	Not in DB	Details
`d-sample`	D	Exemplo do Enunciado Exemplos do PDF original.	TDD	loops 1pts	Not in DB	Details

Local Test Cases (Disk)

Scenario: a-performance 10 cases

Name	Files (Input / Output)	Status	Actions
tc_1 📄 📷	Input `tc_1.in` b86d74807c2a69b7198f9cb9f42087a2 Output `tc_1.out` e6ce069c60d8e681ccd45b06ff3d47ad	🆕 Not in DB	🔍 Details 🔎 Scan
tc_10 📄 📷	Input `tc_10.in` d4e5e3b70dd479980f9de767366a9bfb Output `tc_10.out` f0810a231ce25a35e0b225652e9e54ed	🆕 Not in DB	🔍 Details 🔎 Scan
tc_2 📄 📷	Input `tc_2.in` 8b57109d7534dd588918acfa4428b5b1 Output `tc_2.out` 9ae1400d5046b9667825b464e5b1ea86	🆕 Not in DB	🔍 Details 🔎 Scan
tc_3 📄 📷	Input `tc_3.in` 7f656707d4d93ae1f58ae571ac76cb0e Output `tc_3.out` 6eb5cefde6fcb8463cea70880a44eb98	🆕 Not in DB	🔍 Details 🔎 Scan
tc_4 📄 📷	Input `tc_4.in` 6c4d7ca96ecd3c9305cb612bbc4c6a04 Output `tc_4.out` 12fc54257f1ae2301d3f9db906d7f414	🆕 Not in DB	🔍 Details 🔎 Scan
tc_5 📄 📷	Input `tc_5.in` f787405a99da8cdae4b0aa5d34f36904 Output `tc_5.out` 8f9654eb7b0c528ed7edc173b692173e	🆕 Not in DB	🔍 Details 🔎 Scan
tc_6 📄 📷	Input `tc_6.in` d674c25e17addf6e0312285aa56773c4 Output `tc_6.out` 2fe51daae840593fb0f4076b307ccefb	🆕 Not in DB	🔍 Details 🔎 Scan
tc_7 📄 📷	Input `tc_7.in` 09578bbf48bd4e3643906a2e37dcb481 Output `tc_7.out` 650a1c9c9baa20730b4fcfdbe4cdc135	🆕 Not in DB	🔍 Details 🔎 Scan
tc_8 📄 📷	Input `tc_8.in` fe7b905f31671fe5e5ff9f8e618e57ea Output `tc_8.out` 9ae1400d5046b9667825b464e5b1ea86	🆕 Not in DB	🔍 Details 🔎 Scan
tc_9 📄 📷	Input `tc_9.in` 144e171c9f98565d74f3c016b4446fc5 Output `tc_9.out` 3d26e13f5daf5e4cb7a154bd5107a27a	🆕 Not in DB	🔍 Details 🔎 Scan

Scenario: b-edge-cases 6 cases

Name	Files (Input / Output)	Status	Actions
tc_1 #13406 📄 📷	Input `tc_1.in` b026324c6904b2a9cb4b88d6d61c81d1 Output `tc_1.out` 897316929176464ebc9ad085f31e7284	✅ Synced (ID: 13406)	🔍 Details
tc_2 📄 📷	Input `tc_2.in` 26ab0db90d72e28ad0ba1e22ee510510 Output `tc_2.out` b026324c6904b2a9cb4b88d6d61c81d1	🆕 Not in DB	🔍 Details 🔎 Scan
tc_3 📄 📷	Input `tc_3.in` 48a24b70a0b376535542b996af517398 Output `tc_3.out` 26ab0db90d72e28ad0ba1e22ee510510	🆕 Not in DB	🔍 Details 🔎 Scan
tc_4 📄 📷	Input `tc_4.in` bd243ef5b879e3ff391cd3e405cf12e8 Output `tc_4.out` dbbf8220893d497d403bb9cdf49db7a4	🆕 Not in DB	🔍 Details 🔎 Scan
tc_5 📄 📷	Input `tc_5.in` d668e9dbda7d1d7385cbb2b118313b12 Output `tc_5.out` ee06d5a17b757b231d0049468f897727	🆕 Not in DB	🔍 Details 🔎 Scan
tc_6 📄 📷	Input `tc_6.in` d002e18a3c1d9c48ec74dd2a7c1b5a66 Output `tc_6.out` 12fd838288a9836dcb33694479b34c4f	🆕 Not in DB	🔍 Details 🔎 Scan

Scenario: c-basic 12 cases

Name	Files (Input / Output)	Status	Actions
tc_1 📄 📷	Input `tc_1.in` 26ab0db90d72e28ad0ba1e22ee510510 Output `tc_1.out` b026324c6904b2a9cb4b88d6d61c81d1	🆕 Not in DB	🔍 Details 🔎 Scan
tc_10 📄 📷	Input `tc_10.in` dbbf8220893d497d403bb9cdf49db7a4 Output `tc_10.out` 84bc3da1b3e33a18e8d5e1bdd7a18d7a	🆕 Not in DB	🔍 Details 🔎 Scan
tc_11 📄 📷	Input `tc_11.in` 66a7c1d5cb75ef2542524d888fd32f4a Output `tc_11.out` 1181c1834012245d785120e3505ed169	🆕 Not in DB	🔍 Details 🔎 Scan
tc_12 📄 📷	Input `tc_12.in` 919d117956d3135c4c683ff021352f5c Output `tc_12.out` 2a52a5e65fc3c43f409550dfad1f904f	🆕 Not in DB	🔍 Details 🔎 Scan
tc_2 📄 📷	Input `tc_2.in` 48a24b70a0b376535542b996af517398 Output `tc_2.out` 26ab0db90d72e28ad0ba1e22ee510510	🆕 Not in DB	🔍 Details 🔎 Scan
tc_3 📄 📷	Input `tc_3.in` 1dcca23355272056f04fe8bf20edfce0 Output `tc_3.out` 1dcca23355272056f04fe8bf20edfce0	🆕 Not in DB	🔍 Details 🔎 Scan
tc_4 📄 📷	Input `tc_4.in` 9ae0ea9e3c9c6e1b9b6252c8395efdc1 Output `tc_4.out` c30f7472766d25af1dc80b3ffc9a58c7	🆕 Not in DB	🔍 Details 🔎 Scan
tc_5 📄 📷	Input `tc_5.in` 84bc3da1b3e33a18e8d5e1bdd7a18d7a Output `tc_5.out` 5b6b41ed9b343fed9cd05a66d36650f0	🆕 Not in DB	🔍 Details 🔎 Scan
tc_6 📄 📷	Input `tc_6.in` c30f7472766d25af1dc80b3ffc9a58c7 Output `tc_6.out` 6d7fce9fee471194aa8b5b6e47267f03	🆕 Not in DB	🔍 Details 🔎 Scan
tc_7 📄 📷	Input `tc_7.in` 7c5aba41f53293b712fd86d08ed5b36e Output `tc_7.out` 3bb50ff8eeb7ad116724b56a820139fa	🆕 Not in DB	🔍 Details 🔎 Scan
tc_8 📄 📷	Input `tc_8.in` 31d30eea8d0968d6458e0ad0027c9f80 Output `tc_8.out` 9ae0ea9e3c9c6e1b9b6252c8395efdc1	🆕 Not in DB	🔍 Details 🔎 Scan
tc_9 📄 📷	Input `tc_9.in` 8c9eb686bf3eb5bd83d9373eadf6504b Output `tc_9.out` 4d095eeac8ed659b1ce69dcef32ed0dc	🆕 Not in DB	🔍 Details 🔎 Scan

Scenario: d-sample 2 cases

Name	Files (Input / Output)	Status	Actions
tc_1 📄 📷	Input `tc_1.in` b026324c6904b2a9cb4b88d6d61c81d1 Output `tc_1.out` 897316929176464ebc9ad085f31e7284	🆕 Not in DB	🔍 Details 🔎 Scan
tc_2 #13407 📄 📷	Input `tc_2.in` 6d7fce9fee471194aa8b5b6e47267f03 Output `tc_2.out` 84bc3da1b3e33a18e8d5e1bdd7a18d7a	✅ Synced (ID: 13407)	🔍 Details

Scenario: main 30 cases

Name	Files (Input / Output)	Status	Actions
tc_1 📄 📷	Input `tc_1.in` b026324c6904b2a9cb4b88d6d61c81d1 Output `tc_1.out` 897316929176464ebc9ad085f31e7284	🆕 Not in DB	🔍 Details 🔎 Scan
tc_10 📄 📷	Input `tc_10.in` 31d30eea8d0968d6458e0ad0027c9f80 Output `tc_10.out` 9ae0ea9e3c9c6e1b9b6252c8395efdc1	🆕 Not in DB	🔍 Details 🔎 Scan
tc_11 📄 📷	Input `tc_11.in` 8c9eb686bf3eb5bd83d9373eadf6504b Output `tc_11.out` 4d095eeac8ed659b1ce69dcef32ed0dc	🆕 Not in DB	🔍 Details 🔎 Scan
tc_12 📄 📷	Input `tc_12.in` dbbf8220893d497d403bb9cdf49db7a4 Output `tc_12.out` 84bc3da1b3e33a18e8d5e1bdd7a18d7a	🆕 Not in DB	🔍 Details 🔎 Scan
tc_13 📄 📷	Input `tc_13.in` 66a7c1d5cb75ef2542524d888fd32f4a Output `tc_13.out` 1181c1834012245d785120e3505ed169	🆕 Not in DB	🔍 Details 🔎 Scan
tc_14 📄 📷	Input `tc_14.in` 919d117956d3135c4c683ff021352f5c Output `tc_14.out` 2a52a5e65fc3c43f409550dfad1f904f	🆕 Not in DB	🔍 Details 🔎 Scan
tc_15 📄 📷	Input `tc_15.in` b026324c6904b2a9cb4b88d6d61c81d1 Output `tc_15.out` 897316929176464ebc9ad085f31e7284	🆕 Not in DB	🔍 Details 🔎 Scan
tc_16 📄 📷	Input `tc_16.in` 26ab0db90d72e28ad0ba1e22ee510510 Output `tc_16.out` b026324c6904b2a9cb4b88d6d61c81d1	🆕 Not in DB	🔍 Details 🔎 Scan
tc_17 📄 📷	Input `tc_17.in` 48a24b70a0b376535542b996af517398 Output `tc_17.out` 26ab0db90d72e28ad0ba1e22ee510510	🆕 Not in DB	🔍 Details 🔎 Scan
tc_18 📄 📷	Input `tc_18.in` bd243ef5b879e3ff391cd3e405cf12e8 Output `tc_18.out` dbbf8220893d497d403bb9cdf49db7a4	🆕 Not in DB	🔍 Details 🔎 Scan
tc_19 📄 📷	Input `tc_19.in` d668e9dbda7d1d7385cbb2b118313b12 Output `tc_19.out` ee06d5a17b757b231d0049468f897727	🆕 Not in DB	🔍 Details 🔎 Scan
tc_2 📄 📷	Input `tc_2.in` 6d7fce9fee471194aa8b5b6e47267f03 Output `tc_2.out` 84bc3da1b3e33a18e8d5e1bdd7a18d7a	🆕 Not in DB	🔍 Details 🔎 Scan
tc_20 📄 📷	Input `tc_20.in` d002e18a3c1d9c48ec74dd2a7c1b5a66 Output `tc_20.out` 12fd838288a9836dcb33694479b34c4f	🆕 Not in DB	🔍 Details 🔎 Scan
tc_21 📄 📷	Input `tc_21.in` b86d74807c2a69b7198f9cb9f42087a2 Output `tc_21.out` e6ce069c60d8e681ccd45b06ff3d47ad	🆕 Not in DB	🔍 Details 🔎 Scan
tc_22 📄 📷	Input `tc_22.in` 8b57109d7534dd588918acfa4428b5b1 Output `tc_22.out` 9ae1400d5046b9667825b464e5b1ea86	🆕 Not in DB	🔍 Details 🔎 Scan
tc_23 📄 📷	Input `tc_23.in` 7f656707d4d93ae1f58ae571ac76cb0e Output `tc_23.out` 6eb5cefde6fcb8463cea70880a44eb98	🆕 Not in DB	🔍 Details 🔎 Scan
tc_24 📄 📷	Input `tc_24.in` 6c4d7ca96ecd3c9305cb612bbc4c6a04 Output `tc_24.out` 12fc54257f1ae2301d3f9db906d7f414	🆕 Not in DB	🔍 Details 🔎 Scan
tc_25 📄 📷	Input `tc_25.in` f787405a99da8cdae4b0aa5d34f36904 Output `tc_25.out` 8f9654eb7b0c528ed7edc173b692173e	🆕 Not in DB	🔍 Details 🔎 Scan
tc_26 📄 📷	Input `tc_26.in` d674c25e17addf6e0312285aa56773c4 Output `tc_26.out` 2fe51daae840593fb0f4076b307ccefb	🆕 Not in DB	🔍 Details 🔎 Scan
tc_27 📄 📷	Input `tc_27.in` 09578bbf48bd4e3643906a2e37dcb481 Output `tc_27.out` 650a1c9c9baa20730b4fcfdbe4cdc135	🆕 Not in DB	🔍 Details 🔎 Scan
tc_28 📄 📷	Input `tc_28.in` fe7b905f31671fe5e5ff9f8e618e57ea Output `tc_28.out` 9ae1400d5046b9667825b464e5b1ea86	🆕 Not in DB	🔍 Details 🔎 Scan
tc_29 📄 📷	Input `tc_29.in` 144e171c9f98565d74f3c016b4446fc5 Output `tc_29.out` 3d26e13f5daf5e4cb7a154bd5107a27a	🆕 Not in DB	🔍 Details 🔎 Scan
tc_3 📄 📷	Input `tc_3.in` 26ab0db90d72e28ad0ba1e22ee510510 Output `tc_3.out` b026324c6904b2a9cb4b88d6d61c81d1	🆕 Not in DB	🔍 Details 🔎 Scan
tc_30 📄 📷	Input `tc_30.in` d4e5e3b70dd479980f9de767366a9bfb Output `tc_30.out` f0810a231ce25a35e0b225652e9e54ed	🆕 Not in DB	🔍 Details 🔎 Scan
tc_4 📄 📷	Input `tc_4.in` 48a24b70a0b376535542b996af517398 Output `tc_4.out` 26ab0db90d72e28ad0ba1e22ee510510	🆕 Not in DB	🔍 Details 🔎 Scan
tc_5 📄 📷	Input `tc_5.in` 1dcca23355272056f04fe8bf20edfce0 Output `tc_5.out` 1dcca23355272056f04fe8bf20edfce0	🆕 Not in DB	🔍 Details 🔎 Scan
tc_6 📄 📷	Input `tc_6.in` 9ae0ea9e3c9c6e1b9b6252c8395efdc1 Output `tc_6.out` c30f7472766d25af1dc80b3ffc9a58c7	🆕 Not in DB	🔍 Details 🔎 Scan
tc_7 📄 📷	Input `tc_7.in` 84bc3da1b3e33a18e8d5e1bdd7a18d7a Output `tc_7.out` 5b6b41ed9b343fed9cd05a66d36650f0	🆕 Not in DB	🔍 Details 🔎 Scan
tc_8 📄 📷	Input `tc_8.in` c30f7472766d25af1dc80b3ffc9a58c7 Output `tc_8.out` 6d7fce9fee471194aa8b5b6e47267f03	🆕 Not in DB	🔍 Details 🔎 Scan
tc_9 📄 📷	Input `tc_9.in` 7c5aba41f53293b712fd86d08ed5b36e Output `tc_9.out` 3bb50ff8eeb7ad116724b56a820139fa	🆕 Not in DB	🔍 Details 🔎 Scan

📊 Sync Statistics

Total (Disk) 60

Total (Database) 2

✓ Synchronized 2

⚠ Desynchronized 58

Duplicates (MD5)

27 🛠️

Duplicates in (MD5) 0

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

Actions

No Solutions Defined

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🚀 Quick Prompts

Solution Generation

Create Optimal/Sub-optimal code

ID: 3.1

📄 Enunciados

A 1

Idiomas: pt

💡 Soluções

✅ 0 ❌ 0

🧪 Casos de Teste

4 Scen.

Total no Disco 60

Total no Banco 2

Sincronização 3.0%

Metadata (form)

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Name

Slug

ID Beecrowd

Difficulty

Time Complexity

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Time Limit (s)

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Author (Editorial)

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metadata.yaml

# yaml-language-server: $schema=https://api.mundodocodigo.com.br/api/public/json/wok-problem.json --- version: "0.4" id: 746 name: O Problema do 3N + 1 slug: o-problema-do-3n-1 timeLimitSegs: 2.0 difficultyLevelId: E author: Unknown origin: Mundo do Código description: | A Conjectura de Collatz é um dos mistérios mais fascinantes da matemática. Dado um número inteiro positivo N, aplique repetidamente a seguinte regra: se N é par, divida por 2; se N é ímpar, multiplique por 3 e some 1. O processo sempre termina em 1 (ao menos para todos os números já testados). Sua tarefa é contar quantas vezes a regra precisa ser aplicada até que N se torne igual a 1. editorial: | **Briefing para o Professor:** Problema introdutório de simulação direta, ideal para primeiras aulas de laços (while). Não exige nenhuma estrutura de dados, apenas um laço com condicional par/ímpar e um contador. Excelente para consolidar while+if e para introduzir a noção de convergência empírica sem prova formal. **Estratégia de Resolução:** Laço while(n != 1) com duas ramificações: n/2 ou 3n+1, incrementando um contador a cada iteração. Caso especial: N=1 → 0 passos (laço não executa). Complexidade: O(passos), na prática sublinear em N. Para detalhes, consulte o enunciado nível D. successmsg: 'Collatz não resistiu ao seu laço while! A conjectura continua aberta, mas seu código está fechado e correto.' timeComplexity: O(log N) skills: - loops - condicionais - simulation-ad-hoc statements: - id: a-o-problema-do-3n-1 testScenarioLevel: A thematicSkills: - skill: mathematics points: 1 testScenarios: - id: a-performance name: Valores Grandes (N até 10^6) description: "Testa a convergência para valores grandes de N." helpTip: "Cuidado com overflow em linguagens com inteiros de 32 bits. Use long/long long." level: A testType: PERFORMANCE skills: - skill: loops points: 1 - id: b-edge-cases name: Casos Limites description: "N=1 (zero passos), potências de 2, valores extremos." helpTip: "Se N=1, a resposta é 0. Potências de 2 geram log2(N) passos diretos." level: B testType: TDD skills: - skill: condicionais points: 1 - id: c-basic name: Valores Pequenos description: "N de 2 a 100." helpTip: "Trace manualmente a sequência para N=3: 3→10→5→16→8→4→2→1 = 7 passos." level: C testType: TDD skills: - skill: simulation-ad-hoc points: 1 - id: d-sample name: Exemplo do Enunciado description: "Exemplos do PDF original." helpTip: "Passe N=1 → 0 e N=3 → 7." level: D testType: TDD skills: - skill: loops points: 1 solutions: [] authorSlugProblem: Unknown defaultStatement: a-o-problema-do-3n-1

Problem Analysis Report

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✅ Synced with API

Remote API: ID 746 | Slug: o-problema-do-3n-1 | Updated: 04/12/19

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✅ Synced with Database

Maratona DB: ID 746 | Slug: o-problema-do-3n-1

0746-o-problema-do-3n-1

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Database Test Cases 2 cases

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Test Case Details

Testcase Scenarios Sync

Local Test Cases (Disk)

Scenario: a-performance 10 cases

Scenario: b-edge-cases 6 cases

Scenario: c-basic 12 cases

Scenario: d-sample 2 cases

Scenario: main 30 cases

📊 Sync Statistics

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📄 Recreating README.md...

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Running Verification...

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