Freaks City

Problem A: Trapezoid Area Given the upper base $a$, lower base $b$, and height $h$ of a trapezoid, the area is calculated using the formula: $$\text{Area} = \frac{(a + b) \times h}{2}$$ Problem B: Card Game for Three Three players, A, B, and C, each start with a string of cards. Starting with player A, they draw cards in a sequence. If a player ...

Header File Templates C++ Template #include <bits/stdc++.h> #define fi first #define endl '\n' #define se second #define lowbit(x) ((x)&(-(x))) #define all(x) begin(x), end(x) #define lp(i, j, k) for(int i = int(j); i <= int(k); i++) #define rlp(i, j, k) for(int i = int(j); i >= int(k); i++) #define IO std::ios::sync_with_std ...

Prefix Matching and Keyboard Layout Reconstruction This problem involves identifying possible next characters based on a given prefix and mapping them to a specific $4 \times 8$ grid layout. The core task is to filter a list of strings that start with a specific sequence and mark the character that immediately follows that sequence. #include &l ...

Factorization into Factorial Divisors Given integers (n) and (m) where (1 \le m \le n!) and (n \le 20), decompose (m) into a sum of at most (n) divisors of (n!). A solution is guaranteed to exist. Define a sequence (d_i = \frac{n!}{i!}) for (i) from 1 to (n). By iterating downwards from (i=n) to (1) and greedily subtracting the largest possible ...

Problem A: Minimum Steps to Visit All Points Given a array of distinct integers x₁, x₂, ..., xₙ and a starting position s on the number line. You can move left or right by one unit each step. Find the minimum number of steps required to visit all positions in the array, starting from position s. The optimal solution involves visiting the endpoi ...

Problem Description Given that today is Saturday, determine which day of the week it will be after 20^22 days. Note that days are represented as 1 (Monday) through 7 (Sunday). Approach This problem can be efficiently solved using modular arithmetic to avoid computing the extremely large value of 20^22 directly. Since the week cycles every 7 day ...

Problem A: String Substitution Logic Process a single input line character by character. Output each character sequentially. If the current character is a dot, append the string xixixi. to the output stream immediately. #include <iostream> #include <string> using namespace std; int main() { ios_base::sync_with_stdio(false); ...

A. Special Characters This problem involves constructing a string of length n with paired characters. A solution exists only when n is even, as characters must appear in pairs. For odd n, output is "NO". For even n, we output "YES" followed by a string constructed in pairs, for example, "ZZYYXX..." #include <io ...

Problem 1: Maximum Goals and Assists Problem Overview Given two arrays representing goals and assists for multiple players, process queries that ask for the maximum total balls needed under different matching scenarios. Key Observations The problem essentially asks for the maximum value among three distinct scenarios: Scenario 1: Each assist ca ...

Analysis of Pascal's Triangle Sequence Position For a given integer N, the goal is to locate its first occurrence in the flattened one‑dimensional sequence of Pascal's triangle values, read row by row from left to right. The approach uses the fact that early rows contain candidates. The computational limit is set to row index 44725, which corre ...