結果
問題 | No.122 傾向と対策:門松列(その3) |
ユーザー | koba-e964 |
提出日時 | 2021-09-16 19:21:39 |
言語 | Rust (1.77.0 + proconio) |
結果 |
AC
|
実行時間 | 22 ms / 5,000 ms |
コード長 | 7,368 bytes |
コンパイル時間 | 11,486 ms |
コンパイル使用メモリ | 390,360 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-06-29 15:05:41 |
合計ジャッジ時間 | 12,476 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
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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 | 15 ms
5,248 KB |
testcase_01 | AC | 15 ms
5,376 KB |
testcase_02 | AC | 22 ms
5,376 KB |
testcase_03 | AC | 18 ms
5,376 KB |
testcase_04 | AC | 16 ms
5,376 KB |
testcase_05 | AC | 22 ms
5,376 KB |
testcase_06 | AC | 15 ms
5,376 KB |
testcase_07 | AC | 14 ms
5,376 KB |
ソースコード
use std::io::*; fn get_word() -> String { let mut stdin = std::io::stdin(); let mut u8b: [u8; 1] = [0]; loop { let mut buf: Vec<u8> = Vec::with_capacity(16); loop { let res = stdin.read(&mut u8b); if res.is_err() || res.ok().unwrap() == 0 || u8b[0] <= ' ' as u8 { break; } else { buf.push(u8b[0]); } } if buf.len() >= 1 { let ret = std::string::String::from_utf8(buf).unwrap(); return ret; } } } fn parse<T: std::str::FromStr>(s: &str) -> T { s.parse::<T>().ok().unwrap() } #[allow(dead_code)] fn get<T: std::str::FromStr>() -> T { parse(&get_word()) } /// Verified by https://atcoder.jp/contests/abc198/submissions/21774342 mod mod_int { use std::ops::*; pub trait Mod: Copy { fn m() -> i64; } #[derive(Copy, Clone, Hash, PartialEq, Eq, PartialOrd, Ord)] pub struct ModInt<M> { pub x: i64, phantom: ::std::marker::PhantomData<M> } impl<M: Mod> ModInt<M> { // x >= 0 pub fn new(x: i64) -> Self { ModInt::new_internal(x % M::m()) } fn new_internal(x: i64) -> Self { ModInt { x: x, phantom: ::std::marker::PhantomData } } pub fn pow(self, mut e: i64) -> Self { debug_assert!(e >= 0); let mut sum = ModInt::new_internal(1); let mut cur = self; while e > 0 { if e % 2 != 0 { sum *= cur; } cur *= cur; e /= 2; } sum } #[allow(dead_code)] pub fn inv(self) -> Self { self.pow(M::m() - 2) } } impl<M: Mod, T: Into<ModInt<M>>> Add<T> for ModInt<M> { type Output = Self; fn add(self, other: T) -> Self { let other = other.into(); let mut sum = self.x + other.x; if sum >= M::m() { sum -= M::m(); } ModInt::new_internal(sum) } } impl<M: Mod, T: Into<ModInt<M>>> Sub<T> for ModInt<M> { type Output = Self; fn sub(self, other: T) -> Self { let other = other.into(); let mut sum = self.x - other.x; if sum < 0 { sum += M::m(); } ModInt::new_internal(sum) } } impl<M: Mod, T: Into<ModInt<M>>> Mul<T> for ModInt<M> { type Output = Self; fn mul(self, other: T) -> Self { ModInt::new(self.x * other.into().x % M::m()) } } impl<M: Mod, T: Into<ModInt<M>>> AddAssign<T> for ModInt<M> { fn add_assign(&mut self, other: T) { *self = *self + other; } } impl<M: Mod, T: Into<ModInt<M>>> SubAssign<T> for ModInt<M> { fn sub_assign(&mut self, other: T) { *self = *self - other; } } impl<M: Mod, T: Into<ModInt<M>>> MulAssign<T> for ModInt<M> { fn mul_assign(&mut self, other: T) { *self = *self * other; } } impl<M: Mod> Neg for ModInt<M> { type Output = Self; fn neg(self) -> Self { ModInt::new(0) - self } } impl<M> ::std::fmt::Display for ModInt<M> { fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result { self.x.fmt(f) } } impl<M: Mod> ::std::fmt::Debug for ModInt<M> { fn fmt(&self, f: &mut ::std::fmt::Formatter) -> ::std::fmt::Result { let (mut a, mut b, _) = red(self.x, M::m()); if b < 0 { a = -a; b = -b; } write!(f, "{}/{}", a, b) } } impl<M: Mod> From<i64> for ModInt<M> { fn from(x: i64) -> Self { Self::new(x) } } // Finds the simplest fraction x/y congruent to r mod p. // The return value (x, y, z) satisfies x = y * r + z * p. fn red(r: i64, p: i64) -> (i64, i64, i64) { if r.abs() <= 10000 { return (r, 1, 0); } let mut nxt_r = p % r; let mut q = p / r; if 2 * nxt_r >= r { nxt_r -= r; q += 1; } if 2 * nxt_r <= -r { nxt_r += r; q -= 1; } let (x, z, y) = red(nxt_r, r); (x, y - q * z, z) } } // mod mod_int macro_rules! define_mod { ($struct_name: ident, $modulo: expr) => { #[derive(Copy, Clone, PartialEq, Eq, PartialOrd, Ord, Hash)] struct $struct_name {} impl mod_int::Mod for $struct_name { fn m() -> i64 { $modulo } } } } const MOD: i64 = 1_000_000_007; define_mod!(P, MOD); type MInt = mod_int::ModInt<P>; /** * Returns the least index of elements that are modified, wrapped with Some. * If the entire array is reversed, it returns None instead. * v's elements must be pairwise distinct. */ fn next_permutation<T: Ord>(v: &mut [T]) -> Option<usize> { let mut tail_dec: usize = 1; let n = v.len(); while tail_dec < n { if v[n - tail_dec - 1] > v[n - tail_dec] { tail_dec += 1; } else { break; } } // v[n - tail_dec .. n] is strictly decreasing if tail_dec < n { let x = n - tail_dec - 1; let mut y = n; { let pivot = &v[x]; for i in (n - tail_dec .. n).rev() { if v[i] > *pivot { y = i; break; } } assert!(y < n); } v.swap(x, y); } v[n - tail_dec .. n].reverse(); if tail_dec < n { Some(n - tail_dec - 1) } else { None } } const W: usize = 20010; // ret[v]: #ways to pick elements from a with max v // picked elements should form an increasing sequence fn calc2(a: &[(usize, usize)]) -> Vec<MInt> { let mut dp = vec![MInt::new(1); W]; for &(l, r) in a { let mut ep = vec![MInt::new(0); W]; for i in l..r + 1 { ep[i] = ep[i - 1] + dp[i - 1]; } for i in r + 1..W { ep[i] = ep[i - 1]; } dp = ep; } for i in (0..W - 1).rev() { dp[i + 1] = dp[i + 1] - dp[i]; } dp } // ret[v]: #ways to pick different elements from a with max v fn calc1(a: &[(usize, usize)]) -> Vec<MInt> { let n = a.len(); let mut p: Vec<_> = (0..n).collect(); let mut ans = vec![MInt::new(0); W]; loop { let mut b = vec![(0, 0); n]; for i in 0..n { b[i] = a[p[i]]; } let sub = calc2(&b); for i in 0..W { ans[i] += sub[i]; } if let None = next_permutation(&mut p) { break; } } ans } fn solve(a: &[usize; 7], b: &[usize; 7]) -> MInt { let mut lo = [(0, 0); 4]; let mut hi = [(0, 0); 3]; for i in 0..4 { lo[i] = (a[2 * i], b[2 * i]); } for i in 0..3 { hi[i] = (W - b[2 * i + 1], W - a[2 * i + 1]); } let a = calc1(&lo); let b = calc1(&hi); let mut tot = MInt::new(0); let mut acc = MInt::new(0); for i in 0..W { acc += a[i]; tot += acc * b[W - 1 - i]; } tot } fn main() { let mut mi = [0usize; 7]; let mut ma = [0usize; 7]; for i in 0..7 { mi[i] = get(); ma[i] = get(); } let tot = solve(&mi, &ma); for i in 0..7 { let t1 = W - ma[i]; let t2 = W - mi[i]; mi[i] = t1; ma[i] = t2; } let tot = tot + solve(&mi, &ma); println!("{}", tot); }