CSES - Putka Open 2020 – 5/5

Submission details
Task:	Pyramidi
Sender:	Hennkka
Submission time:	2020-11-27 20:26:35 +0200
Language:	Rust
Status:	READY
Result:	100

Feedback
group	verdict	score
#1	ACCEPTED	17
#2	ACCEPTED	83

Test results
test	verdict	time	group
#1	ACCEPTED	0.01 s	1, 2	details
#2	ACCEPTED	0.01 s	1, 2	details
#3	ACCEPTED	0.01 s	1, 2	details
#4	ACCEPTED	0.01 s	1, 2	details
#5	ACCEPTED	0.01 s	1, 2	details
#6	ACCEPTED	0.01 s	1, 2	details
#7	ACCEPTED	0.01 s	1, 2	details
#8	ACCEPTED	0.01 s	1, 2	details
#9	ACCEPTED	0.01 s	1, 2	details
#10	ACCEPTED	0.01 s	1, 2	details
#11	ACCEPTED	0.01 s	1, 2	details
#12	ACCEPTED	0.01 s	1, 2	details
#13	ACCEPTED	0.01 s	1, 2	details
#14	ACCEPTED	0.01 s	1, 2	details
#15	ACCEPTED	0.01 s	1, 2	details
#16	ACCEPTED	0.03 s	2	details
#17	ACCEPTED	0.03 s	2	details
#18	ACCEPTED	0.03 s	2	details
#19	ACCEPTED	0.03 s	2	details
#20	ACCEPTED	0.03 s	2	details

Code

use std::io::BufRead;

const MAX_N: usize = 1_000_000;

/// The number of 2's in the factorial of 2
fn factorial_2(n: usize) -> usize {
    thread_local! {
        static MEM: Vec<usize> = (0..=MAX_N)
            .into_iter()
            .map(|v| if v > 0 {v.trailing_zeros() as usize} else {0})
            .scan(0usize, |s, v| {
                *s += v;
                Some(*s)
            })
            .collect();
    }

    MEM.with(|mem| mem[n])
}

fn binomial_parity(n: usize, k: usize) -> bool {
    factorial_2(n) - factorial_2(k) - factorial_2(n - k) > 0
}

fn sierpinski_row(n: usize) -> Vec<bool> {
    (0..n).map(|v| !binomial_parity(n - 1, v)).collect()
}

fn solve(row: Vec<usize>) -> usize {
    let n = row.len();
    row.into_iter()
        .zip(sierpinski_row(n).into_iter())
        .filter(|(_, b)| *b)
        .map(|(v, _)| v)
        .fold(0, |a, b| a ^ b)
}

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 input: Vec<usize> = lines
        .next()
        .unwrap()
        .unwrap()
        .split_whitespace()
        .map(|v| v.parse().unwrap())
        .collect();
    println!("{}", solve(input));
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test_sample() {
        assert_eq!(solve(vec![2, 10, 5, 12, 9, 5, 1, 5]), 9);
    }
}

Test details

Test 1

Group: 1, 2

Verdict: ACCEPTED

input
`1 80` view save

correct output
`80` view save

user output
`80` view save

Test 2

Group: 1, 2

Verdict: ACCEPTED

input
`2 69 91` view save

correct output
`30` view save

user output
`30` view save

Test 3

Group: 1, 2

Verdict: ACCEPTED

input
`3 47 74 75` view save

correct output
`100` view save

user output
`100` view save

Test 4

Group: 1, 2

Verdict: ACCEPTED

input
`4 94 22 100 43` view save

correct output
`7` view save

user output
`7` view save

Test 5

Group: 1, 2

Verdict: ACCEPTED

input
`5 50 82 47 40 51` view save

correct output
`1` view save

user output
`1` view save

Test 6

Group: 1, 2

Verdict: ACCEPTED

input
`6 90 27 98 85 47 14` view save

correct output
`96` view save

user output
`96` view save

Test 7

Group: 1, 2

Verdict: ACCEPTED

input
`7 55 82 52 9 65 90 86` view save

correct output
`20` view save

user output
`20` view save

Test 8

Group: 1, 2

Verdict: ACCEPTED

input
`8 45 52 52 95 40 85 3 46` view save

correct output
`34` view save

user output
`34` view save

Test 9

Group: 1, 2

Verdict: ACCEPTED

input
`9 77 16 59 32 22 41 87 89 78` view save

correct output
`3` view save

user output
`3` view save

Test 10

Group: 1, 2

Verdict: ACCEPTED

input
`10 59 78 34 26 71 9 82 68 80 74` view save

correct output
`111` view save

user output
`111` view save

Test 11

Group: 1, 2

Verdict: ACCEPTED

input
`100 100 6 10 53 84 80 7 87 3 82 26...` view save

correct output
`91` view save

user output
`91` view save

Test 12

Group: 1, 2

Verdict: ACCEPTED

input
`100 25 18 62 51 79 55 71 33 21 29 ...` view save

correct output
`58` view save

user output
`58` view save

Test 13

Group: 1, 2

Verdict: ACCEPTED

input
`100 3 20 19 60 11 84 94 79 63 59 9...` view save

correct output
`124` view save

user output
`124` view save

Test 14

Group: 1, 2

Verdict: ACCEPTED

input
`100 99 86 42 2 97 78 8 12 98 7 98 ...` view save

correct output
`49` view save

user output
`49` view save

Test 15

Group: 1, 2

Verdict: ACCEPTED

input
`100 19 19 14 30 80 53 21 18 26 85 ...` view save

correct output
`42` view save

user output
`42` view save

Test 16

Group: 2

Verdict: ACCEPTED

input
`200000 852837035 608724072 368935143 ...` view save

correct output
`680579671` view save

user output
`680579671` view save

Test 17

Group: 2

Verdict: ACCEPTED

input
`200000 255817977 550740070 115276527 ...` view save

correct output
`177586289` view save

user output
`177586289` view save

Test 18

Group: 2

Verdict: ACCEPTED

input
`200000 30889540 9467827 526159961 367...` view save

correct output
`439343644` view save

user output
`439343644` view save

Test 19

Group: 2

Verdict: ACCEPTED

input
`200000 421000302 598694653 199802169 ...` view save

correct output
`184880259` view save

user output
`184880259` view save

Test 20

Group: 2

Verdict: ACCEPTED

input
`200000 578873143 289492857 855880936 ...` view save

correct output
`937457144` view save

user output
`937457144` view save

Putka Open 2020 – 5/5

Pyramidi

Code

Test details

Test 1

Test 2

Test 3

Test 4

Test 5

Test 6

Test 7

Test 8

Test 9

Test 10

Test 11

Test 12

Test 13

Test 14

Test 15

Test 16

Test 17

Test 18

Test 19

Test 20

Tasks

Submissions (Hennkka)