Freaks City

Word Break Problem Given a string s and a ditcionary wordDict, determine if s can be segmented into space-sepaarted words from the dictionary. Backtracking with Memoization bool canSegment(const string& s, const unordered_set<string>& dict, vector<int>& memo, int pos) { if(pos >= s.size()) return true; if(memo ...

Problem Statement Given a integer array coins representing different coin denominations and an integer amount representing the target total, find the minimum number of coins needed to make up that amount. If it's impossible to form the amount with the given coins, return -1. You have an unlimited supply of each coin denomination. Examples Examp ...

Contest Overview Total Score: 290 Ranking: 3 Problems Solved: 2 Problem Solutions Problem 1: Interview Screening Score: 100 **Analysis:**This is a relatively straightforward problem that resembles bucket sorting. The key is to properly handle the conditional checks without mixing them up. Implementation: // Store possible outcomes string result ...

Problem Summary We are given a sequence of n missiles, each defined by two attributes: height h[i] and speed v[i]. A missile can intercept another if its height and speed are both less than or equal to the target's. We are to calculate the probability of each missile being part of a longest non-increasing subsequence (LNDS), assuming we randoml ...

Description: In the Kingdom of Caima, there is a peculiar prison with P cells arranged in a linear fashion, where cell i is adjacent to cell i+1 (except for the last cell). Currently, all cells are occupied. An order has been issued to release one person from a specified list each day. The P prisoners in the cells can communicate with each othe ...

A. Sleeping Through Classes This problem can be solved using a brute-force approach. Given the constraints, iterating through all possible scenarios or simulating the process directly will yield the correct solution within the time limit. B. Niko's Tactical Cards The optimal strategy for this problem involves dynamic programming. By sorting the ...

Mathematical Function Analysis For the first problem, we need to compute a sum based on a specific function f(x). The key insight is recognizing that f(x) = y when the least common multiple of numbers 1 through y-1 divides x, but y does not divide x. Using the inclusion-exclusion principle, we can calculate the count of numbers satisfying these ...

Given an array, find the length of the longest subsequence where elements are in strictly increasing order. int longestIncreasingSubsequence(vector<int>& arr) { int n = arr.size(); vector<int> dp(n, 1); for (int i = 1; i < n; ++i) { for (int k = 0; k < i; ++k) { if (arr[i] > arr[k]) { ...

A robot starts at the top-left corner of an m × n grid and must reach the bottom-right corner. It can only move right or down. How many distinct paths exist? Use dynamic programming where dp[i][j] reprseents the number of ways to reach cell (i, j) from the origin. Transition: dp[i][j] = dp[i-1][j] + dp[i][j-1] Base case: Initialize dp[0][1] = 1 ...

Insect Population Growth Problem Time Limit: C/C++ 1000ms, Other Languages 2000ms Memory Limit: C/C++ 256MB, Other Languages 512MB Problem Description Scientists in a tropical forest have discovered a special insect species with remarkable reproductive capabilities. Each pair of adult insects produces y pairs of eggs after x months. Each pair o ...