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1549-dividindo-a-coca

dividindo-a-coca

D Difficulty

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# 1549 - Dividindo a Coca | **Version**: 0.5
`dividindo-a-coca` | Difficulty: **D** | **Updated**: 2026-05-16 14:46:05

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

## Overview
Busca Binária O(log N) em cima de cálculo de Geometria Tridimensional (Tronco de Cone) para inferir altura h com precisão.

## Metadata
- **Author**: Unknown
- **Editorial**: Para cada amigo, a garrafa precisa dar uma cota de exatos L/N mililitros.
Esse será nosso Volume V Alvo em cada copo.
Para descobrir a exata altura "h" que alcança o volume V, como isolar a incógnita
na equação de 3º Grau da altura seria um caos algébrico, recorremos à Busca Binária!
O limite inferior (left) da busca é 0, e o limite máximo (right) é a altura H total.
Calculamos o raio central e o Volume na altura média (mid), e estreitamos a busca!
Com um for de 100 iterações na Busca Binária Real, a precisão alcançará a excelência exigida.

- **Success Msg**: Parabéns Mestre! Fazer Binary Search the Answer para convergir precisão em equações cúbicas é a alma da geometria!

| Time Limit | Memory Limit | Time Complexity | Space Complexity |
| :--- | :--- | :--- | :--- |
| -s | -MB | O(K) | - |

## Stats
| Metric | Count |
| :--- | :--- |
| Test Scenarios | 23 |
| Solutions | 1 |

## Statements
| ID | Status | Level | Natural Languages | Skills |
| :--- | :--- | :--- | :--- | :--- |
| `a-coca` | ✅ | A | pt | binary-search, geometry |

## Test Scenarios
| Name | Description | Count | Type | Level | Skills | DB Sync |
| :--- | :--- | :--- | :--- | :--- | :--- | :--- |
| **Escalabilidade Float Point** | Quantidade massiva de copos com cálculos de pontos flutuantes. | 3 | Performance | A | binary-search | - |
| **Valores Geométricos Diversos** | Casos variados. | 15 | TDD | B | logic | - |
| **Extremos e Limites Iguais** | Copos que já são Cilindros (b=B). | 4 | TDD | C | logic | - |
| **Exemplo** | Exemplo base. | 1 | TDD | D | logic | - |

## Solutions
- **Busca Binária Convergente em Tronco de Cone** (`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 23 ✅

Database Info

DB ID 1549

Name Dividindo a Coca

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-dividindo-a-coca) was not found in the file system.

ID	Level	Natural Languages	Skills	Status	Action
a-dividindo-a-coca	A	a b c d	binary-search, geometry	⚠️

Statement Details

Select a statement above to view details.

Actions

Statistics

1 Total Statements

By Type (ID)

a-dividindo-a-coca 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	Escalabilidade Float Point Quantidade massiva de copos com cálculos de...	PERFORMANCE	binary-search 1pts	Not in DB	Details
`b-fuzzing`	B	Valores Geométricos Diversos Casos variados.	TDD	logic 1pts	Not in DB	Details
`c-edge`	C	Extremos e Limites Iguais Copos que já são Cilindros (b=B).	TDD	logic 1pts	Not in DB	Details
`d-sample`	D	Exemplo Exemplo base.	TDD	logic 1pts	Not in DB	Details

Local Test Cases (Disk)

Scenario: a-performance 3 cases

Name	Files (Input / Output)	Actions
performance-01 📄 📷	Input `performance-01.in` 5436c4018e173d40792c7a4837cdd35a Output `performance-01.out` 3e357ed2d6da0e5d47af82a26ca43527	🔍 Details
performance-02 📄 📷	Input `performance-02.in` eb24f36d83113f62ee34a2517c5284b5 Output `performance-02.out` 8cd22e770b84ec105654466b804238b9	🔍 Details
performance-03 📄 📷	Input `performance-03.in` 3811facbb8861a3610aa25043bfb8e24 Output `performance-03.out` cac6f71107dc2492d9b9d3bed83da9de	🔍 Details

Scenario: b-fuzzing 15 cases

Name	Files (Input / Output)	Actions
fuzzing-01 📄 📷	Input `fuzzing-01.in` 46c6d4281c950e77a2e6a4331fcf57ab Output `fuzzing-01.out` ecc774ccdcca36b6221cc3f0fcb28fa4	🔍 Details
fuzzing-02 📄 📷	Input `fuzzing-02.in` 8a8194e77d0f2098a88bdfc884651c0e Output `fuzzing-02.out` 0b3ef34327a01d16e18e0e9fc0d4ef24	🔍 Details
fuzzing-03 📄 📷	Input `fuzzing-03.in` 4c0525ceb7278e7bbe6c8fa25668cc02 Output `fuzzing-03.out` a089152b0464c8a976b71d0be7cca776	🔍 Details
fuzzing-04 📄 📷	Input `fuzzing-04.in` 399a55ba8bb8fc007c5dc79dd1948828 Output `fuzzing-04.out` e22bd560f9070d3fd962492303853ad8	🔍 Details
fuzzing-05 📄 📷	Input `fuzzing-05.in` ea9040c16fe2a8c8bfc25f0b18198597 Output `fuzzing-05.out` ecfc7a42f35396f71fda2fbb65c606a6	🔍 Details
fuzzing-06 📄 📷	Input `fuzzing-06.in` f4faf0594f6621dbb1d68d86643d7b60 Output `fuzzing-06.out` ee692efb81dd377a13f9d34999538d02	🔍 Details
fuzzing-07 📄 📷	Input `fuzzing-07.in` af251d722a4f5c948b1fda7052def31a Output `fuzzing-07.out` 0c2e9e674ddbbf928dc403f9581f4efc	🔍 Details
fuzzing-08 📄 📷	Input `fuzzing-08.in` 18d19cc64c006b749de0020f6c8560f0 Output `fuzzing-08.out` 26278db9f8279ecf4844187d99c43097	🔍 Details
fuzzing-09 📄 📷	Input `fuzzing-09.in` 68f849f6a4b0a1b06e79adef97a6dbcc Output `fuzzing-09.out` da328481437bf4b490568495710c1878	🔍 Details
fuzzing-10 📄 📷	Input `fuzzing-10.in` 62b81de3827a5ae5f90924319c745d26 Output `fuzzing-10.out` e716c2da4a1c4aba3f6558f8e0079569	🔍 Details
fuzzing-11 📄 📷	Input `fuzzing-11.in` c529ddb3830e3e49658e67d237578a19 Output `fuzzing-11.out` 1010f7bcf6abb1e977bd9d339e44eeb0	🔍 Details
fuzzing-12 📄 📷	Input `fuzzing-12.in` d55e98c5d59f79fcfa4169d03a71f0ae Output `fuzzing-12.out` 0b84d69fffedff03f9214ca54332a1d0	🔍 Details
fuzzing-13 📄 📷	Input `fuzzing-13.in` 65fb17c5b68f111ed2980b73b88a9027 Output `fuzzing-13.out` ccba27603c8f8e95d0b45bae6f3aca01	🔍 Details
fuzzing-14 📄 📷	Input `fuzzing-14.in` a91334a4b6f57d292972c22e8b7a09f4 Output `fuzzing-14.out` 2a520bcfa633ba4e8a4dded298093ca7	🔍 Details
fuzzing-15 📄 📷	Input `fuzzing-15.in` 76e82d953a2355c55c0b61164202edb7 Output `fuzzing-15.out` 532e9a66607a8c30577a79f225e0ee18	🔍 Details

Scenario: c-edge 4 cases

Name	Files (Input / Output)	Actions
edge-01 📄 📷	Input `edge-01.in` cd6e8801131e9c6d8a0618e74f0b3ad4 Output `edge-01.out` d47372703f43b765bb0b83eb632bed88	🔍 Details
edge-02 📄 📷	Input `edge-02.in` 643fc2cbe6de1489b59521be60f503ab Output `edge-02.out` 4fd4dcef994592f9865e9bc8807f32f4	🔍 Details
edge-03 📄 📷	Input `edge-03.in` 1964401101801d20186ac9d4113da679 Output `edge-03.out` 38995a20bebff21c8a168a385ad599e4	🔍 Details
edge-04 📄 📷	Input `edge-04.in` d43720bb23ac2b9a72cc582e7d0cca8c Output `edge-04.out` 4fd4dcef994592f9865e9bc8807f32f4	🔍 Details

Scenario: d-sample 1 cases

Name	Files (Input / Output)	Status	Actions
sample-01 📄 📷	Input `sample-01.in` 6d74fb121af338a7df69d2baa884f5df Output `sample-01.out` 3afa21b4a956ad0208379174f5aa9f9e		🔍 Details

📊 Sync Statistics

Total (Disk) 23

Total (Database) 0

✓ Synchronized 0

⚠ Desynchronized 23

Duplicates (MD5)

Duplicates in (MD5) 0

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

Actions

Busca Binária Convergente em Tronco de Cone

ID: a-otima-basica

100 Iterações de Busca Binária limitando o volume com fórmula piramidal / tronco circular.

Implementations

Solutions Check Report

## Solutions Check Report (Detalhado / Debug)
**Generated**: 2026-06-02T01:17:26.422034
**Solution**: `solutions/a-otima-basica/coca.cpp`

### Compilation
✅ /home/ubuntu/apps/pack-tecnicas/workspace/1549-dividindo-a-coca/solutions/a-otima-basica/coca.out

### 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-performance-01-in"><td>performance-01.in</td><td>✅ PASS</td><td>0.002</td></tr>
<tr id="row-a-performance-performance-02-in"><td>performance-02.in</td><td>✅ PASS</td><td>0.002</td></tr>
<tr id="row-a-performance-performance-03-in"><td>performance-03.in</td><td>✅ PASS</td><td>0.002</td></tr>
<tr class="scenario-row"><td colspan="3"><strong>b-fuzzing - TDD</strong></td></tr>
<tr id="row-b-fuzzing-fuzzing-01-in"><td>fuzzing-01.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-02-in"><td>fuzzing-02.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-03-in"><td>fuzzing-03.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-04-in"><td>fuzzing-04.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-05-in"><td>fuzzing-05.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-06-in"><td>fuzzing-06.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-07-in"><td>fuzzing-07.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-08-in"><td>fuzzing-08.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-09-in"><td>fuzzing-09.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-10-in"><td>fuzzing-10.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-11-in"><td>fuzzing-11.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-12-in"><td>fuzzing-12.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-13-in"><td>fuzzing-13.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-14-in"><td>fuzzing-14.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-b-fuzzing-fuzzing-15-in"><td>fuzzing-15.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr class="scenario-row"><td colspan="3"><strong>c-edge - TDD</strong></td></tr>
<tr id="row-c-edge-edge-01-in"><td>edge-01.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-c-edge-edge-02-in"><td>edge-02.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-c-edge-edge-03-in"><td>edge-03.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr id="row-c-edge-edge-04-in"><td>edge-04.in</td><td>✅ PASS</td><td>0.001</td></tr>
<tr class="scenario-row"><td colspan="3"><strong>d-sample - TDD</strong></td></tr>
<tr id="row-d-sample-sample-01-in"><td>sample-01.in</td><td>✅ PASS</td><td>0.001</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 23

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

Success message

metadata.yaml

# yaml-language-server: $schema=https://api.mundodocodigo.com.br/api/public/json/wok-problem.json --- version: "0.5" id: 1549 name: "Dividindo a Coca" slug: "dividindo-a-coca" timelimit: 1.0 memlimit: 200 difficultyLevelId: D author: "Ricardo Oliveira" origin: "Beecrowd" description: 'Busca Binária O(log N) em cima de cálculo de Geometria Tridimensional (Tronco de Cone) para inferir altura h com precisão.' editorial: | Para cada amigo, a garrafa precisa dar uma cota de exatos L/N mililitros. Esse será nosso Volume V Alvo em cada copo. Para descobrir a exata altura "h" que alcança o volume V, como isolar a incógnita na equação de 3º Grau da altura seria um caos algébrico, recorremos à Busca Binária! O limite inferior (left) da busca é 0, e o limite máximo (right) é a altura H total. Calculamos o raio central e o Volume na altura média (mid), e estreitamos a busca! Com um for de 100 iterações na Busca Binária Real, a precisão alcançará a excelência exigida. successmsg: 'Parabéns Mestre! Fazer Binary Search the Answer para convergir precisão em equações cúbicas é a alma da geometria!' timeComplexity: O(K) skills: - binary-search - geometry statements: - id: a-dividindo-a-coca testScenarioLevel: A thematicSkills: - skill: binary-search points: 2 - skill: geometry points: 1 testScenarios: - id: a-performance name: Escalabilidade Float Point description: "Quantidade massiva de copos com cálculos de pontos flutuantes." helpTip: "Você usou Double ao invés de Float genérico?" level: A testType: PERFORMANCE skills: - skill: binary-search points: 1 - id: b-fuzzing name: Valores Geométricos Diversos description: "Casos variados." helpTip: "Testou todos com 100 passos de busca binária?" level: B testType: TDD skills: - skill: logic points: 1 - id: c-edge name: Extremos e Limites Iguais description: "Copos que já são Cilindros (b=B)." helpTip: "Seu volume não dá NaN ou divisão por 0 caso o cone vire cilindro perfeito?" level: C testType: TDD skills: - skill: logic points: 1 - id: d-sample name: Exemplo description: "Exemplo base." helpTip: "Passe." level: D testType: TDD skills: - skill: logic points: 1 solutions: - id: a-otima-basica name: Busca Binária Convergente em Tronco de Cone description: 100 Iterações de Busca Binária limitando o volume com fórmula piramidal / tronco circular. level: A implementations: - language: cpp paradigm: Imperative main: coca.cpp filenames: - coca.cpp - language: py paradigm: Imperative main: coca.py filenames: - coca.py - language: java paradigm: OO main: Coca filenames: - Coca.java authorSlugProblem: Unknown defaultStatement: a-dividindo-a-coca

1549-dividindo-a-coca

README.md Preview

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Testcase Scenarios Sync

Local Test Cases (Disk)

Scenario: a-performance 3 cases

Scenario: b-fuzzing 15 cases

Scenario: c-edge 4 cases

Scenario: d-sample 1 cases

📊 Sync Statistics

Actions

Busca Binária Convergente em Tronco de Cone

Implementations

Solutions Check Report

✅ Verification

🚀 Quick Prompts

📄 Enunciados

💡 Soluções

🧪 Casos de Teste

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