結果
問題 | No.854 公平なりんご分配 |
ユーザー | koba-e964 |
提出日時 | 2019-07-26 23:38:39 |
言語 | Rust (1.77.0) |
結果 |
AC
|
実行時間 | 1,592 ms / 3,153 ms |
コード長 | 6,670 bytes |
コンパイル時間 | 3,398 ms |
コンパイル使用メモリ | 163,796 KB |
実行使用メモリ | 123,804 KB |
最終ジャッジ日時 | 2023-09-15 05:06:08 |
合計ジャッジ時間 | 18,221 ms |
ジャッジサーバーID (参考情報) |
judge12 / judge14 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 1 ms
4,376 KB |
testcase_01 | AC | 1 ms
4,376 KB |
testcase_02 | AC | 1 ms
4,376 KB |
testcase_03 | AC | 1 ms
4,376 KB |
testcase_04 | AC | 1 ms
4,380 KB |
testcase_05 | AC | 1 ms
4,380 KB |
testcase_06 | AC | 1 ms
4,376 KB |
testcase_07 | AC | 1 ms
4,376 KB |
testcase_08 | AC | 2 ms
4,376 KB |
testcase_09 | AC | 1 ms
4,380 KB |
testcase_10 | AC | 1 ms
4,380 KB |
testcase_11 | AC | 1 ms
4,376 KB |
testcase_12 | AC | 2 ms
4,376 KB |
testcase_13 | AC | 1 ms
4,380 KB |
testcase_14 | AC | 1 ms
4,380 KB |
testcase_15 | AC | 1 ms
4,380 KB |
testcase_16 | AC | 2 ms
4,376 KB |
testcase_17 | AC | 1 ms
4,380 KB |
testcase_18 | AC | 1 ms
4,376 KB |
testcase_19 | AC | 1 ms
4,376 KB |
testcase_20 | AC | 1 ms
4,376 KB |
testcase_21 | AC | 1 ms
4,380 KB |
testcase_22 | AC | 3 ms
4,380 KB |
testcase_23 | AC | 3 ms
4,376 KB |
testcase_24 | AC | 4 ms
4,380 KB |
testcase_25 | AC | 3 ms
4,376 KB |
testcase_26 | AC | 5 ms
4,380 KB |
testcase_27 | AC | 4 ms
4,376 KB |
testcase_28 | AC | 3 ms
4,376 KB |
testcase_29 | AC | 2 ms
4,380 KB |
testcase_30 | AC | 2 ms
4,376 KB |
testcase_31 | AC | 5 ms
4,376 KB |
testcase_32 | AC | 78 ms
27,264 KB |
testcase_33 | AC | 108 ms
15,820 KB |
testcase_34 | AC | 220 ms
37,036 KB |
testcase_35 | AC | 142 ms
29,616 KB |
testcase_36 | AC | 45 ms
4,380 KB |
testcase_37 | AC | 74 ms
25,696 KB |
testcase_38 | AC | 52 ms
21,136 KB |
testcase_39 | AC | 392 ms
39,664 KB |
testcase_40 | AC | 122 ms
13,812 KB |
testcase_41 | AC | 151 ms
24,136 KB |
testcase_42 | AC | 183 ms
36,176 KB |
testcase_43 | AC | 281 ms
25,432 KB |
testcase_44 | AC | 273 ms
34,124 KB |
testcase_45 | AC | 126 ms
8,924 KB |
testcase_46 | AC | 386 ms
33,964 KB |
testcase_47 | AC | 116 ms
19,596 KB |
testcase_48 | AC | 156 ms
35,708 KB |
testcase_49 | AC | 146 ms
36,484 KB |
testcase_50 | AC | 68 ms
25,560 KB |
testcase_51 | AC | 375 ms
35,388 KB |
testcase_52 | AC | 175 ms
17,036 KB |
testcase_53 | AC | 68 ms
16,384 KB |
testcase_54 | AC | 175 ms
19,652 KB |
testcase_55 | AC | 41 ms
16,324 KB |
testcase_56 | AC | 40 ms
16,716 KB |
testcase_57 | AC | 86 ms
14,068 KB |
testcase_58 | AC | 99 ms
7,456 KB |
testcase_59 | AC | 28 ms
12,496 KB |
testcase_60 | AC | 97 ms
14,336 KB |
testcase_61 | AC | 27 ms
4,376 KB |
testcase_62 | AC | 106 ms
12,484 KB |
testcase_63 | AC | 59 ms
13,008 KB |
testcase_64 | AC | 19 ms
6,096 KB |
testcase_65 | AC | 82 ms
32,168 KB |
testcase_66 | AC | 47 ms
9,800 KB |
testcase_67 | AC | 110 ms
21,680 KB |
testcase_68 | AC | 74 ms
10,552 KB |
testcase_69 | AC | 65 ms
38,824 KB |
testcase_70 | AC | 34 ms
13,816 KB |
testcase_71 | AC | 38 ms
15,036 KB |
testcase_72 | AC | 57 ms
4,380 KB |
testcase_73 | AC | 55 ms
26,144 KB |
testcase_74 | AC | 134 ms
32,016 KB |
testcase_75 | AC | 80 ms
15,240 KB |
testcase_76 | AC | 94 ms
25,424 KB |
testcase_77 | AC | 99 ms
35,700 KB |
testcase_78 | AC | 142 ms
11,688 KB |
testcase_79 | AC | 149 ms
22,196 KB |
testcase_80 | AC | 138 ms
23,524 KB |
testcase_81 | AC | 79 ms
24,284 KB |
testcase_82 | AC | 345 ms
123,712 KB |
testcase_83 | AC | 595 ms
123,768 KB |
testcase_84 | AC | 598 ms
123,756 KB |
testcase_85 | AC | 611 ms
123,796 KB |
testcase_86 | AC | 321 ms
123,764 KB |
testcase_87 | AC | 338 ms
123,756 KB |
testcase_88 | AC | 333 ms
123,768 KB |
testcase_89 | AC | 338 ms
123,796 KB |
testcase_90 | AC | 339 ms
123,724 KB |
testcase_91 | AC | 340 ms
123,804 KB |
testcase_92 | AC | 1,592 ms
123,792 KB |
testcase_93 | AC | 1,575 ms
123,784 KB |
コンパイルメッセージ
warning: function `gcd` is never used --> Main.rs:63:12 | 63 | pub fn gcd(mut x: i64, mut y: i64) -> i64 { | ^^^ | = note: `#[warn(dead_code)]` on by default warning: function `add_mod` is never used --> Main.rs:79:8 | 79 | fn add_mod(x: i64, y: i64, n: i64) -> i64 { | ^^^^^^^ warning: function `mul_mod` is never used --> Main.rs:84:8 | 84 | fn mul_mod(x: i64, mut y: i64, n: i64) -> i64 { | ^^^^^^^ warning: function `mod_pow` is never used --> Main.rs:99:8 | 99 | fn mod_pow(x: i64, mut e: i64, n: i64) -> i64 { | ^^^^^^^ warning: function `is_prime` is never used --> Main.rs:112:12 | 112 | pub fn is_prime(n: i64) -> bool { | ^^^^^^^^ warning: function `pollard_rho` is never used --> Main.rs:139:8 | 139 | fn pollard_rho(n: i64, c: &mut i64) -> i64 { | ^^^^^^^^^^^ warning: function `factorize` is never used --> Main.rs:161:12 | 161 | pub fn factorize(x: i64) -> Vec<(i64, usize)> { | ^^^^^^^^^ warning: 7 warnings emitted
ソースコード
#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::{Write, BufWriter}; // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes .by_ref() .map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr, ) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, ( $($t:tt),* )) => { ( $(read_value!($next, $t)),* ) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>() }; ($next:expr, chars) => { read_value!($next, String).chars().collect::<Vec<char>>() }; ($next:expr, usize1) => { read_value!($next, usize) - 1 }; ($next:expr, [ $t:tt ]) => {{ let len = read_value!($next, usize); (0..len).map(|_| read_value!($next, $t)).collect::<Vec<_>>() }}; ($next:expr, $t:ty) => { $next().parse::<$t>().expect("Parse error") }; } mod pollard_rho { use std::collections::HashMap; /// binary gcd pub fn gcd(mut x: i64, mut y: i64) -> i64 { if y == 0 { return x; } if x == 0 { return y; } let mut sh = 0; while ((x | y) & 1) == 0 { x >>= 1; y >>= 1; sh += 1; } while (x & 1) == 0 { x >>= 1; } while y != 0 { while (y & 1) == 0 { y >>= 1; } if x > y { let t = x; x = y; y = t; } y -= x; } x << sh } fn add_mod(x: i64, y: i64, n: i64) -> i64 { let z = x + y; if z >= n { z - n } else { z } } fn mul_mod(x: i64, mut y: i64, n: i64) -> i64 { assert!(x >= 0); assert!(x < n); let mut sum = 0; let mut cur = x; while y > 0 { if (y & 1) == 1 { sum = add_mod(sum, cur, n); } cur = add_mod(cur, cur, n); y >>= 1; } sum } fn mod_pow(x: i64, mut e: i64, n: i64) -> i64 { let mut prod = if n == 1 { 0 } else { 1 }; let mut cur = x % n; while e > 0 { if (e & 1) == 1 { prod = mul_mod(prod, cur, n); } cur = mul_mod(cur, cur, n); e >>= 1; } prod } pub fn is_prime(n: i64) -> bool { if n <= 1 { return false; } let small = [2, 3, 5, 7, 11, 13]; if small.iter().any(|&u| u == n) { return true; } if small.iter().any(|&u| n % u == 0) { return false; } let mut d = n - 1; let mut e = 0; while (d & 1) == 0 { d >>= 1; e += 1; } let a = [2, 325, 9375, 28178, 450775, 9780504, 1795265022]; a.iter().all(|&a| { if a >= n { return true; } let mut x = mod_pow(a, d, n); if x == 1 { return true; } for _ in 0 .. e { if x == n - 1 { return true; } x = mul_mod(x, x, n); if x == 1 { return false; } } x == 1 }) } fn pollard_rho(n: i64, c: &mut i64) -> i64 { if n % 2 == 0 { return 2; } loop { let mut x: i64 = 2; let mut y = 2; let mut d = 1; let cc = *c; let f = |i| add_mod(mul_mod(i, i, n), cc, n); while d == 1 { x = f(x); y = f(f(y)); d = gcd((x - y).abs(), n); } if d == n { *c += 1; continue; } return d; } } /// Outputs (p, e) in p's ascending order. pub fn factorize(x: i64) -> Vec<(i64, usize)> { if x <= 1 { return Vec::new(); } let mut hm = HashMap::new(); let mut pool = vec![x]; let mut c = 1; while let Some(u) = pool.pop() { if is_prime(u) { *hm.entry(u).or_insert(0) += 1; continue; } let p = pollard_rho(u, &mut c); pool.push(p); pool.push(u / p); } let mut v: Vec<_> = hm.into_iter().collect(); v.sort(); v } } // mod pollard_rho fn solve() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts { ($($format:tt)*) => (write!(out,$($format)*).unwrap()); } input! { n: usize, a: [i32; n], plr: [(i64, usize1, usize)], } const W: usize = 2001; let mut fac = vec![0; W]; for i in 2..W { fac[i] = i; } for i in 2..W { if fac[i] != i { continue; } for j in 2..(W - 1) / i + 1 { fac[i * j] = i; } } let primes: Vec<_> = (2..W).filter(|&i| fac[i] == i).collect(); let m = primes.len(); let mut inv = vec![0; W]; for i in 0..m { inv[primes[i]] = i; } let mut acc = vec![vec![0i32; n + 1]; m]; let mut zero = vec![0i32; n + 1]; for i in 0..n { for j in 0..m { acc[j][i + 1] = acc[j][i]; } zero[i + 1] = zero[i]; if a[i] == 0 { zero[i + 1] += 1; continue; } let mut v = a[i]; while v > 1 { let p = fac[v as usize]; v /= p as i32; let idx = inv[p]; acc[idx][i + 1] += 1; } } for &(p, l, r) in &plr { let mut ans = true; if zero[r] == zero[l] { let mut v = p; for i in 0..m { let mut e = 0; let p = primes[i] as i64; while v % p == 0 { v /= p; e += 1; } let diff = acc[i][r] - acc[i][l]; if diff < e as i32 { ans = false; } } if v > 1 { ans = false; } } puts!("{}\n", if ans { "Yes" } else { "NO" }); } } fn main() { solve(); }