use std::io; #[derive(Clone, Copy)] struct Card { number: [u64; 2], } struct Problem { cards: Vec, operation_count: usize, } fn read_problem() -> Problem { // 標準入力からの読み取り用バッファ let mut input = String::new(); // N の読み取り io::stdin().read_line(&mut input).expect("Failed to read line"); let n: usize = input.trim().parse().expect("Input was not a number"); // 各 A_i, B_i の読み取り let mut pairs = Vec::new(); // (A_i, B_i) のペアを格納するベクター for _ in 0..n { input.clear(); // バッファをクリア io::stdin().read_line(&mut input).expect("Failed to read line"); // 空白で分割し、それぞれ u64 として解析 let parts: Vec = input .trim() .split_whitespace() .map(|x| x.parse().expect("Input was not a number")) .collect(); if parts.len() != 2 { eprintln!("Invalid input format"); continue; } // ベクターに追加 pairs.push((parts[0], parts[1])); } let cards = pairs .into_iter() .map(|(v1, v2)| Card { number: [v1, v2] }) .collect::>(); Problem { cards, operation_count: 50, } } #[derive(Clone)] struct State { card_pool: Vec, } const TARGET_VALUE: u64 = 50_0000_0000_0000_0000; impl State { fn new(problem: &Problem) -> State { State { card_pool: problem.cards.clone(), } } fn copy_from(&mut self, state: &State) { for i in 0..state.card_pool.len() { self.card_pool[i] = state.card_pool[i] } } fn manipulate(&mut self, c1: usize, c2: usize) { let first = (self.card_pool[c1].number[0] + self.card_pool[c2].number[0]) / 2; let second = (self.card_pool[c1].number[1] + self.card_pool[c2].number[1]) / 2; self.card_pool[c1].number[0] = first; self.card_pool[c2].number[0] = first; self.card_pool[c1].number[1] = second; self.card_pool[c2].number[1] = second; } } fn calculate_cost_diff(first: u64, second: u64) -> u64 { first.abs_diff(TARGET_VALUE).max(second.abs_diff(TARGET_VALUE)) } fn simulate_with_greedy(problem: &Problem, state: &mut State, turn: usize) -> u64 { let mut state = state.clone(); for _iter in 0..turn { // 平均化して改善率の最も高い組合せを選択 let mut best_improve_pair = (0, 0); let mut best_gain = std::i64::MIN; let c1 = 0; for c2 in c1 + 1..state.card_pool.len() { let first = (state.card_pool[c1].number[0] + state.card_pool[c2].number[0]) / 2; let second = (state.card_pool[c1].number[1] + state.card_pool[c2].number[1]) / 2; let before_c1_diff = calculate_cost_diff(state.card_pool[c1].number[0], state.card_pool[c1].number[1]); let before_c2_diff = calculate_cost_diff(state.card_pool[c2].number[0], state.card_pool[c2].number[1]); let before_diff = before_c1_diff + before_c2_diff; let after_diff = calculate_cost_diff(first, second) * 2; let gain = before_diff as i64 - after_diff as i64; if best_gain < gain { best_gain = gain; best_improve_pair = (c1, c2); } } let (c1, c2) = best_improve_pair; state.manipulate(c1, c2); } // calculate score // ⌊2000000−100000 log 10 (max(V_1 ,V_2)+1)⌋ let diff = calculate_cost_diff(state.card_pool[0].number[0], state.card_pool[0].number[1]); (200_0000f64 - 10_0000f64 * (diff as f64).log10()).floor() as u64 } fn solve(problem: &Problem) -> Vec<(usize, usize)> { let mut state = State::new(problem); let mut init_state = State::new(problem); let mut ret = vec![]; for turn in 1..=problem.operation_count { // 平均化して改善率の最も高い組合せを選択 let mut best_improve_pair = (0, 0); let mut best_score = std::u64::MIN; let c1 = 0; for c2 in c1 + 1..state.card_pool.len() { init_state.copy_from(&state); init_state.manipulate(c1, c2); let score = simulate_with_greedy(problem, &mut init_state, problem.operation_count - turn); if best_score < score { best_score = score; best_improve_pair = (c1, c2); } } let (c1, c2) = best_improve_pair; state.manipulate(c1, c2); ret.push((c1 + 1, c2 + 1)); } ret } fn main() { let problem = read_problem(); let ret = solve(&problem); println!("{}", ret.len()); for (c1, c2) in ret.iter() { println!("{} {}", c1, c2); } }