Swift Coding Test Course, I Will Become the President of the Women's Association

Hello, everyone! In this post, we will address one of the algorithm problems called “I Will Be the Apartment Leader”.
This problem is one of the frequently asked topics in Swift coding tests.
I will explain the basic problem description, the process of solving it, and how to implement the code in detail.

Problem Description

The “I Will Be the Apartment Leader” problem is about calculating the number of residents in an apartment according to specific rules.
The given apartment consists of N floors and K units.
The number of residents in each unit on the K-th floor follows these rules:

On the 0-th floor, there is 1 resident in every K unit.
The number of residents in unit n on the k-th floor is the sum of the number of residents from unit 1 to n on the (k-1)-th floor.

In other words, the number of residents on the 0-th floor is 1 for everyone, and the number of residents in unit n on the 1st floor is the total from unit 1 to n on the 0-th floor.
We can use these rules to calculate the number of residents in unit n on the k-th floor.

Input and Output Format

Input

The first line contains the number of test cases T. (1 ≤ T ≤ 100)
Each test case consists of two integers K and N. (0 ≤ K ≤ 14, 1 ≤ N ≤ 14)

Output

For each test case, print the number of residents in unit N on the k-th floor.

Process of Solving the Problem

To solve this problem, we first declare a 2-dimensional array to calculate the number of residents in the apartment.
The size of the array is set to (15 x 15) to store the number of residents from the 0-th floor to the 14-th floor.
We will use this to solve the problem using Dynamic Programming.

Step 1: Initialize the Array


let maxK = 15
let maxN = 15
var dp = Array(repeating: Array(repeating: 0, count: maxN), count: maxK)

for i in 0..



    Here, dp[k][n] represents the number of residents in unit n on the k-th floor.

    We initialized all values on the 0-th floor to 1. For k > 0, we can calculate dp[k][n] as the sum of residents from the previous floor.

Step 2: Calculate the Number of Residents

for k in 1..


    This is the process of filling the dp array with values.

    The number of residents in unit n on the k-th floor is the sum from units 1 to n on the (k-1)-th floor.

    We calculate the values for each floor and store them in the dp array through a loop.

Step 3: Print the Results

for _ in 0..


    Finally, we print the number of residents in unit N on the k-th floor for each test case.

    Through this process, we can solve the problem.

Implementation Code

    Now, the full code that implements the above process in Swift is below.


import Foundation

let maxK = 15
let maxN = 15
var dp = Array(repeating: Array(repeating: 0, count: maxN), count: maxK)

for i in 0..

Conclusion

    In this article, we examined the process of solving the "I Will Be the Apartment Leader" problem.

    We learned how to understand the rules of the problem and efficiently calculate the solution using Dynamic Programming.

    I hope this helps you solidify your understanding of algorithms and prepare for coding tests.

    Thank you!




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