[#3025] note(numberOfPairs): add Description and init C# project

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2025-09-02 09:57:41 +08:00
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# [3025] Find The Number Of Ways To Place People I
## 題目資訊
- **難度**: Medium
- **標籤**: Array, Math, Geometry, Sorting, Enumeration
- **題目連結**: [LeetCode](https://leetcode.com/problems/find-the-number-of-ways-to-place-people-i/)
- **練習日期**: 2025-09-02
## 題目描述
You are given a 2D array `points` of size `n x 2` representing integer coordinates of some points on a 2D plane, where `points[i] = [xi, yi]`.
Count the number of pairs of points `(A, B)`, where
- `A` is on **the upper** left side of `B`, and
- there are no other points in the rectangle (or line) they make (**including the border**).
Return the count.
## 解題思路
### 初步分析
- 這題主要考察什麼概念?
- 有什麼關鍵限制條件?
- 預期時間/空間複雜度?
### 解法概述
1. **暴力解法**:
- 思路:
- 時間複雜度O(?)
- 空間複雜度O(?)
2. **優化解法**:
- 思路:
- 時間複雜度O(?)
- 空間複雜度O(?)
## 測試案例
### 範例輸入輸出
```
Input: points = [[6,2],[4,4],[2,6]]
Output: 2
Explanation:
- The left one is the pair (points[1], points[0]), where points[1] is on the upper left side of points[0] and the rectangle is empty.
- The left one is the pair (points[1], points[0]), where points[1] is on the upper left side of points[0] and the rectangle is empty.
- The right one is the pair (points[2], points[0]), where points[2] is on the upper left side of points[0], but points[1] is inside the rectangle so it's not a valid pair.
```
### 邊界情況
- `2 <= n <= 50`
- `points[i].length == 2`
- `0 <= points[i][0], points[i][1] <= 50`
- All `points[i]` are distinct.
## 學習筆記
### 今天學到什麼?
-
### 遇到的困難
-
### 改善方向
-
### 相關題目
- [題目編號] 題目名稱 - 相似概念
- [題目編號] 題目名稱 - 進階版本
---
**總結**: 這題的核心概念是...,適合練習...技巧。

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// LeetCode 3025: Find The Number Of Ways To Place People I
// 難度: Medium
// 日期: 2025-09-02
using System;
using System.Collections.Generic;
using System.Linq;
public class Solution {
public void Solve() {
// TODO: 實作解法
Console.WriteLine("Hello LeetCode 3025!");
}
}
// 測試程式
public class Program {
public static void Main() {
Solution sol = new Solution();
sol.Solve();
// TODO: 加入測試案例
// TestCase1();
// TestCase2();
}
// 測試案例模板
/*
static void TestCase1() {
// Input:
// Expected:
// Actual:
Console.WriteLine("Test 1: ");
}
*/
}

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<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<OutputType>Exe</OutputType>
<TargetFramework>net8.0</TargetFramework>
<ImplicitUsings>enable</ImplicitUsings>
<Nullable>enable</Nullable>
</PropertyGroup>
</Project>

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// LeetCode 3025 單元測試
// 使用 xUnit 框架
using Xunit;
using System;
using System.Collections.Generic;
public class SolutionTests {
private readonly Solution _solution;
public SolutionTests() {
_solution = new Solution();
}
[Fact]
public void TestCase1() {
// Arrange
// TODO: 設定輸入資料
// var input = ;
// var expected = ;
// Act
// var result = _solution.YourMethod(input);
// Assert
// Assert.Equal(expected, result);
Assert.True(true); // 暫時通過,等待實作
}
[Fact]
public void TestCase2() {
// TODO: 第二個測試案例
Assert.True(true);
}
[Fact]
public void TestEdgeCases() {
// TODO: 邊界情況測試
// 空陣列、單一元素、最大值、最小值等
Assert.True(true);
}
}

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<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<TargetFramework>net8.0</TargetFramework>
<Nullable>enable</Nullable>
<IsPackable>false</IsPackable>
</PropertyGroup>
<ItemGroup>
<PackageReference Include="Microsoft.NET.Test.Sdk" Version="17.1.0" />
<PackageReference Include="xunit" Version="2.4.1" />
<PackageReference Include="xunit.runner.visualstudio" Version="2.4.3">
<IncludeAssets>runtime; build; native; contentfiles; analyzers; buildtransitive</IncludeAssets>
<PrivateAssets>all</PrivateAssets>
</PackageReference>
</ItemGroup>
<ItemGroup>
<ProjectReference Include="../csharp/csharp.csproj" />
</ItemGroup>
</Project>

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# 邊界情況清單
## 需要測試的邊界情況
- [ ] 空輸入 (空陣列、空字串等)
- [ ] 單一元素
- [ ] 重複元素
- [ ] 最大值/最小值
- [ ] 負數情況
- [ ] 超大資料量
- [ ] 特殊字符 (如果是字串題目)
## 額外測試案例
### 案例 1:
**輸入**:
**輸出**:
**說明**:
### 案例 2:
**輸入**:
**輸出**:
**說明**: