Task: | Summat |
Sender: | Hennkka |
Submission time: | 2020-09-26 14:33:18 +0300 |
Language: | Rust |
Status: | READY |
Result: | 100 |
group | verdict | score |
---|---|---|
#1 | ACCEPTED | 12 |
#2 | ACCEPTED | 32 |
#3 | ACCEPTED | 56 |
test | verdict | time | group | |
---|---|---|---|---|
#1 | ACCEPTED | 0.01 s | 1, 2, 3 | details |
#2 | ACCEPTED | 0.01 s | 1, 2, 3 | details |
#3 | ACCEPTED | 0.01 s | 1, 2, 3 | details |
#4 | ACCEPTED | 0.01 s | 1, 2, 3 | details |
#5 | ACCEPTED | 0.01 s | 1, 2, 3 | details |
#6 | ACCEPTED | 0.01 s | 2, 3 | details |
#7 | ACCEPTED | 0.01 s | 2, 3 | details |
#8 | ACCEPTED | 0.01 s | 2, 3 | details |
#9 | ACCEPTED | 0.01 s | 2, 3 | details |
#10 | ACCEPTED | 0.01 s | 2, 3 | details |
#11 | ACCEPTED | 0.01 s | 3 | details |
#12 | ACCEPTED | 0.01 s | 3 | details |
#13 | ACCEPTED | 0.04 s | 3 | details |
#14 | ACCEPTED | 0.01 s | 3 | details |
#15 | ACCEPTED | 0.01 s | 3 | details |
Compiler report
warning: unused import: `std::collections::BTreeSet` --> input/code.rs:2:5 | 2 | use std::collections::BTreeSet; | ^^^^^^^^^^^^^^^^^^^^^^^^^^ | = note: `#[warn(unused_imports)]` on by default warning: unused variable: `n` --> input/code.rs:59:5 | 59 | n: usize, | ^ help: consider prefixing with an underscore: `_n` | = note: `#[warn(unused_variables)]` on by default
Code
use std::collections::BTreeMap;use std::collections::BTreeSet;use std::io::BufRead;fn print_iter<I: Iterator>(iter: I)where<I as Iterator>::Item: std::fmt::Display,{let mut iter = iter;if let Some(v) = iter.next() {print!("{}", v);for v in iter {print!(" {}", v);}}println!();}struct Counter {counts: BTreeMap<usize, usize>,}impl Counter {pub fn new() -> Self {Self {counts: BTreeMap::new(),}}pub fn is_empty(&self) -> bool {self.counts.is_empty()}pub fn first(&self) -> usize {*self.counts.iter().next().unwrap().0}pub fn add(&mut self, val: usize) {*self.counts.entry(val).or_insert(0) += 1;}pub fn remove(&mut self, val: usize) -> bool {let count = self.counts.get_mut(&val);if let Some(count) = count {assert!(*count > 0);*count -= 1;if *count == 0 {self.counts.remove(&val);}true} else {false}}}fn solve_with_three_smallest(v: &[usize],n: usize,(a0, a1, a2): (usize, usize, usize),) -> Option<Vec<usize>> {// println!("{}, {}, {}", a0, a1, a2);// What to do with tree smallest elements?let mut res = Vec::new();let mut left = Counter::new();for v in v {left.add(*v);}left.remove(a0 + a1);left.remove(a0 + a2);left.remove(a1 + a2);res.push(a0);res.push(a1);res.push(a2);// The next smallest element has to be a0+??while !left.is_empty() {let ai = left.first() - a0;for a in &res {if !left.remove(a + ai) {return None;}}res.push(ai);}Some(res)}fn solve(v: Vec<usize>, n: usize) -> Vec<usize> {assert_eq!(v.len(), n * (n - 1) / 2);let mut v = v;v.sort();// Guess the three smallest elementsfor i in 2..=(n + 3).min(v.len() - 1) {let v0 = v[0];let v1 = v[1];let vi = v[i];let a0 = (v0 + v1 - vi) / 2;let a1 = (v0 + vi - v1) / 2;let a2 = (v1 + vi - v0) / 2;if a0 + a1 == v0 && a0 + a2 == v1 && a1 + a2 == vi {if let Some(res) = solve_with_three_smallest(&v, n, (a0, a1, a2)) {return res;}}}unreachable!()// let v0 = v[0];// let v1 = v[1];// let v2 = v[2];// let a0 = (v0 + v1 - v2) / 2;// let a1 = (v0 + v2 - v1) / 2;// let a2 = (v1 + v2 - v0) / 2;// if a0 + a1 == v0 && a0 + a2 == v1 && a1 + a2 == v2 {// solve_with_three_smallest(v, n, (a0, a1, a2)).unwrap()// } else {// todo!()// }// // Guess the three smallest elements// let v0 = v[0];// let v1 = v[1];// let v2 = v[2];// let a0 = (v0 + v1 - v2) / 2;// let a1 = (v0 + v2 - v1) / 2;// let a2 = (v1 + v2 - v0) / 2;// if a0 + a1 == v0 && a0 + a2 == v1 && a1 + a2 == v2 {// solve_with_three_smallest(v, n, (a0, a1, a2)).unwrap()// } else {// todo!()// }}fn main() {let stdin = std::io::stdin();let stdin = stdin.lock();let mut lines = stdin.lines();let n: usize = lines.next().unwrap().unwrap().parse().unwrap();let v = lines.next().unwrap().unwrap().split_whitespace().map(|v| v.parse().unwrap()).collect();print_iter(solve(v, n).into_iter());}#[cfg(test)]mod tests {use super::*;fn construct_input(v: &[usize]) -> Vec<usize> {let mut res = Vec::new();for i in 0..v.len() {for j in i + 1..v.len() {res.push(v[i] + v[j]);}}res}fn assert_similar(real: Vec<usize>, test: Vec<usize>) {let mut real = construct_input(&real);let mut test = construct_input(&test);real.sort();test.sort();assert_eq!(real, test);}fn assert_test(res: Vec<usize>) {let input = construct_input(&res);let n = res.len();assert_similar(res, solve(input, n));}#[test]fn test_sample() {assert_test(vec![1, 3, 3, 3]);}#[test]fn test_many() {assert_test(vec![1, 2, 3, 4]);assert_test(vec![1, 2, 3, 4, 5]);assert_test(vec![1, 10, 11, 12]);assert_test(vec![1, 11, 12, 13]);assert_test(vec![1, 10, 20, 30]);}#[test]fn test_medium() {assert_test(vec![1, 2, 3, 4,1, 2, 3, 4, 5,100,5,19,312,523,456,34,56,12,4,2]);}#[test]fn test_big() {use rand::distributions::{Distribution, Uniform};use std::time::{Duration, Instant};const ITERS: u32 = 30;const SIZE: usize = 100;let mut time = Duration::from_nanos(1);for i in 0..ITERS {let mut model: Vec<usize> = vec![0; SIZE];for i in 0..SIZE {model[i] = Uniform::from(0..1_000_000).sample(&mut rand::thread_rng());}let input = construct_input(&model);std::sync::atomic::fence(std::sync::atomic::Ordering::AcqRel);let start = Instant::now();std::sync::atomic::fence(std::sync::atomic::Ordering::AcqRel);let output = solve(input, model.len());std::sync::atomic::fence(std::sync::atomic::Ordering::AcqRel);let stop = Instant::now();std::sync::atomic::fence(std::sync::atomic::Ordering::AcqRel);time += stop - start;assert_similar(model, output);}let time = (time / ITERS).as_secs_f64();assert!(time < 1.0, "Took time {}", time);}}
Test details
Test 1
Group: 1, 2, 3
Verdict: ACCEPTED
input |
---|
5 2 2 2 2 2 2 2 2 2 2 |
correct output |
---|
1 1 1 1 1 |
user output |
---|
1 1 1 1 1 |
Test 2
Group: 1, 2, 3
Verdict: ACCEPTED
input |
---|
5 3 4 5 5 6 6 7 7 8 9 |
correct output |
---|
1 2 3 4 5 |
user output |
---|
1 2 3 4 5 |
Test 3
Group: 1, 2, 3
Verdict: ACCEPTED
input |
---|
5 5 6 6 6 9 9 9 10 10 10 |
correct output |
---|
1 4 5 5 5 |
user output |
---|
1 4 5 5 5 |
Test 4
Group: 1, 2, 3
Verdict: ACCEPTED
input |
---|
5 2 3 3 6 6 6 6 7 7 10 |
correct output |
---|
1 1 2 5 5 |
user output |
---|
1 1 2 5 5 |
Test 5
Group: 1, 2, 3
Verdict: ACCEPTED
input |
---|
5 4 5 5 5 5 6 6 6 7 7 |
correct output |
---|
2 2 3 3 4 |
user output |
---|
2 2 3 3 4 |
Test 6
Group: 2, 3
Verdict: ACCEPTED
input |
---|
20 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ... |
correct output |
---|
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... |
user output |
---|
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... |
Test 7
Group: 2, 3
Verdict: ACCEPTED
input |
---|
20 3 4 5 5 6 6 7 7 7 8 8 8 9 9 9 ... |
correct output |
---|
1 2 3 4 5 6 7 8 9 10 11 12 13 ... |
user output |
---|
1 2 3 4 5 6 7 8 9 10 11 12 13 ... |
Test 8
Group: 2, 3
Verdict: ACCEPTED
input |
---|
20 52 55 55 57 62 62 63 64 66 71 ... |
correct output |
---|
1 51 54 54 56 61 61 62 63 65 7... |
user output |
---|
1 51 54 54 56 61 61 62 63 65 7... |
Test 9
Group: 2, 3
Verdict: ACCEPTED
input |
---|
20 25 30 31 32 36 39 40 41 45 45 ... |
correct output |
---|
8 17 22 23 24 28 43 50 53 55 6... |
user output |
---|
8 17 22 23 24 28 43 50 53 55 6... |
Test 10
Group: 2, 3
Verdict: ACCEPTED
input |
---|
20 9 10 14 17 17 20 21 22 24 25 2... |
correct output |
---|
1 8 9 13 16 19 30 32 38 40 43 ... |
user output |
---|
1 8 9 13 16 19 30 32 38 40 43 ... |
Test 11
Group: 3
Verdict: ACCEPTED
input |
---|
100 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ... |
correct output |
---|
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... |
user output |
---|
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... Truncated |
Test 12
Group: 3
Verdict: ACCEPTED
input |
---|
100 3 4 5 5 6 6 7 7 7 8 8 8 9 9 9 ... |
correct output |
---|
1 2 3 4 5 6 7 8 9 10 11 12 13 ... |
user output |
---|
1 2 3 4 5 6 7 8 9 10 11 12 13 ... Truncated |
Test 13
Group: 3
Verdict: ACCEPTED
input |
---|
100 502824619 505239810 505668108 ... |
correct output |
---|
1 502824618 505239809 50566810... |
user output |
---|
1 502824618 505239809 50566810... Truncated |
Test 14
Group: 3
Verdict: ACCEPTED
input |
---|
100 17871832 41618648 51611938 538... |
correct output |
---|
3939271 13932561 37679377 4989... |
user output |
---|
3939271 13932561 37679377 4989... Truncated |
Test 15
Group: 3
Verdict: ACCEPTED
input |
---|
100 70588435 115481965 116040218 1... |
correct output |
---|
5902586 64685849 109579379 110... |
user output |
---|
5902586 64685849 109579379 110... Truncated |