use std::collections::HashMap; use std::{io::{self, BufRead}}; const PRIMES: [u16; 95] = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499]; fn factorize(mut number: u16) -> Option> { let mut result = HashMap::new(); for &prime in &PRIMES { let mut count = 0; while (number % prime) == 0 { count += 1; number = number / prime; } if count > 0 { result.insert(prime, count); } } if number == 1 { return Some(result); } else { return None; } } fn factorize_all() -> HashMap> { let mut result = HashMap::new(); for i in 1..u16::MAX { match factorize(i) { Some(factors) => { result.insert(i, factors); }, None => {} } } result } fn solve(cards: &Vec<(u16, u16)>, precomputed: &HashMap>) -> Option { let sum: u16 = cards.iter().map(|&(prime, count)| prime * count).sum(); let cards_hash = cards.iter().map(|&tuple| tuple.clone()).collect::>(); for i in (1..=sum).rev() { match precomputed.get(&i) { Some(factors) => { let factors_sum: u16 = factors.iter().map(|(&factor, &count)| factor * count).sum(); if i + factors_sum == sum { if factors.iter().all(|(&factor, &count)| match cards_hash.get(&factor) { Some(&original_count) => original_count >= count, None => false, }) { return Some(i); } } } None => { } } } return None; } fn main() { let precomputed = factorize_all(); let stdin = io::stdin(); let mut lines = stdin.lock().lines(); let test_number: u32 = lines.next().unwrap().unwrap().parse().unwrap(); for t in 1..=test_number { let length: u32 = lines.next().unwrap().unwrap().parse().unwrap(); let mut list: Vec<(u16, u16)> = vec![]; for _i in 0..length { let parts: Vec = lines.next().unwrap().unwrap().split(char::is_whitespace).map(|part| part.parse().unwrap()).collect(); list.push((parts[0], parts[1])) } println!("Case #{}: {}", t, match solve(&list, &precomputed) { Some(score) => score, None => 0, }); } }