Freaks City

Problem A Solution Direct implemantation yields the solution. Problem B: Maximizing Odd Frequency Counts Given a sequence of length 2n with elements from [1,2n], define f(a) as the count of distinct elements appearing an odd number of times in sequence a. Partition the sequence into two subsequences p and q, each of length n. The goal is to max ...

Given two points A and B and n circles, determine smallest possible radius for an unknown circle O that passes through A and B without intersecting any of the given circles. The constraint are 1 ≤ n ≤ 10^5, with point coordinates and radii in [-10^5, 10^5]. The solution must achieve a relative or absolute error ≤ 1e-3, and the answer is bounde ...

AGC010F Tree Game Let \( val[u] \) represent the number of stones located at node \( u \). A useful heuristic arises when considering a node \( u \) with a single child \( v \). If \( val[u] \le val[v] \), and the first player moves the token to \( v \), the second player can immediately move it back to \( u \). This traps the first player, lea ...

Problem A: Enitial Letter Extraction Given three space-separated lowercase strings, output their initial letters in uppercase. std::string s; std::getline(std::cin, s); for (int i = 0; i < (int)s.size(); i++) { if (i == 0 || s[i - 1] == ' ') std::cout << char(s[i] - 'a' + 'A'); } std::cout << "\n"; Problem B: Large ...

T1 Three Integers Problem Statement Given three integers A, B, and C, there are two operations: Operation 1: Choose two numbers and decrement each by 1. Operation 2: Choose all three numbers and decrement each by 1. The goal is to reduce all three numbers to 0. If impossible, output -1. Solution Approach A key insight is that any operation sh ...

Reducing a Binary Number to OneGiven a binary string representing a positive integer, the objective is to reduce this number to 1 using the minimum number of steps. The operations allowed are:If the current number is even, divide it by 2.If the current number is odd, add 1 to it.Since the input length can be up to 500, converting the binary str ...

Interval Game Theory via Dynamic Programming Two participants alternately extract characters from either end of a string. Assuming optimal play from both sides, the objective is to predict the final match outcome. The input guarantees an even-length string, with cumulative lengths capped at 2000 across all test cases. The problem resolves effic ...

Problem Description We're playing a number guessing game with the following rules: I pick a number between 1 and n. You guess which number I picked. Each time you guess wrong, I tell you whether my number is higher or lower. When you guess a number x and it's wrong, you pay $x. You win when you guess the correct number. Given n ≥ 1, determine ...

In this problem, there are n questions with given point values and m special questions that allow doubling the current score instead of earning their base points. The goal is to arrange the order of answering all questions so that the final score is maximized. Each question i has a fixed value val[i]. Among them, m indices correspond to doublin ...

Problem 1: Ring Position Simulation Description: There are $2n$ people standing in two rings of size $n$ each. They are numbered from $1$ to $2n$, where positions $1$ to $n$ form ring 1 and positions $n+1$ to $2n$ form ring 2. Both rings start counting from $1$ simultaneously. Ring 1 starts from person $1$, and ring 2 starts from person $n+1$. ...