結果
問題 | No.1207 グラフX |
ユーザー |
![]() |
提出日時 | 2020-08-30 13:16:44 |
言語 | Rust (1.83.0 + proconio) |
結果 |
AC
|
実行時間 | 202 ms / 2,000 ms |
コード長 | 10,442 bytes |
コンパイル時間 | 12,817 ms |
コンパイル使用メモリ | 387,520 KB |
実行使用メモリ | 35,764 KB |
最終ジャッジ日時 | 2024-11-15 06:33:31 |
合計ジャッジ時間 | 21,737 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge2 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 46 |
ソースコード
//---------- begin union_find ----------#[allow(dead_code)]mod union_find {pub struct UF {p: Vec<i32>,}impl UF {pub fn new(n: usize) -> UF {UF {p: vec![-1; n] }}pub fn init(&mut self) {for p in self.p.iter_mut() {*p = -1;}}pub fn root(&self, mut x: usize) -> usize {while self.p[x] >= 0 {x = self.p[x] as usize;}x}pub fn same(&self, x: usize, y: usize) -> bool {self.root(x) == self.root(y)}pub fn unite(&mut self, x: usize, y: usize) -> Option<(usize, usize)> {let mut x = self.root(x);let mut y = self.root(y);if x == y {return None;}if self.p[x] > self.p[y] {std::mem::swap(&mut x, &mut y);}self.p[x] += self.p[y];self.p[y] = x as i32;Some((x, y))}pub fn parent(&self, x: usize) -> Option<usize> {let p = self.p[x];if p >= 0 {Some(p as usize)} else {None}}pub fn get_size(&self, x: usize) -> usize {let r = self.root(x);(-self.p[r]) as usize}}}//---------- end union_find ----------// ---------- begin ModInt ----------mod modint {#[allow(dead_code)]pub struct Mod;impl ConstantModulo for Mod {const MOD: u32 = 1_000_000_007;}#[allow(dead_code)]pub struct StaticMod;static mut STATIC_MOD: u32 = 0;impl Modulo for StaticMod {fn modulo() -> u32 {unsafe { STATIC_MOD }}}#[allow(dead_code)]impl StaticMod {pub fn set_modulo(p: u32) {unsafe {STATIC_MOD = p;}}}use std::marker::*;use std::ops::*;pub trait Modulo {fn modulo() -> u32;}pub trait ConstantModulo {const MOD: u32;}impl<T> Modulo for TwhereT: ConstantModulo,{fn modulo() -> u32 {T::MOD}}pub struct ModInt<T>(pub u32, PhantomData<T>);impl<T> Clone for ModInt<T> {fn clone(&self) -> Self {ModInt::new_unchecked(self.0)}}impl<T> Copy for ModInt<T> {}impl<T: Modulo> Add for ModInt<T> {type Output = ModInt<T>;fn add(self, rhs: Self) -> Self::Output {let mut d = self.0 + rhs.0;if d >= T::modulo() {d -= T::modulo();}ModInt::new_unchecked(d)}}impl<T: Modulo> AddAssign for ModInt<T> {fn add_assign(&mut self, rhs: Self) {*self = *self + rhs;}}impl<T: Modulo> Sub for ModInt<T> {type Output = ModInt<T>;fn sub(self, rhs: Self) -> Self::Output {let mut d = T::modulo() + self.0 - rhs.0;if d >= T::modulo() {d -= T::modulo();}ModInt::new_unchecked(d)}}impl<T: Modulo> SubAssign for ModInt<T> {fn sub_assign(&mut self, rhs: Self) {*self = *self - rhs;}}impl<T: Modulo> Mul for ModInt<T> {type Output = ModInt<T>;fn mul(self, rhs: Self) -> Self::Output {let v = self.0 as u64 * rhs.0 as u64 % T::modulo() as u64;ModInt::new_unchecked(v as u32)}}impl<T: Modulo> MulAssign for ModInt<T> {fn mul_assign(&mut self, rhs: Self) {*self = *self * rhs;}}impl<T: Modulo> Neg for ModInt<T> {type Output = ModInt<T>;fn neg(self) -> Self::Output {if self.0 == 0 {Self::zero()} else {Self::new_unchecked(T::modulo() - self.0)}}}impl<T> std::fmt::Display for ModInt<T> {fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result {write!(f, "{}", self.0)}}impl<T: Modulo> std::str::FromStr for ModInt<T> {type Err = std::num::ParseIntError;fn from_str(s: &str) -> Result<Self, Self::Err> {let val = s.parse::<u32>()?;Ok(ModInt::new(val))}}impl<T: Modulo> From<usize> for ModInt<T> {fn from(val: usize) -> ModInt<T> {ModInt::new_unchecked((val % T::modulo() as usize) as u32)}}impl<T: Modulo> From<u64> for ModInt<T> {fn from(val: u64) -> ModInt<T> {ModInt::new_unchecked((val % T::modulo() as u64) as u32)}}impl<T: Modulo> From<i64> for ModInt<T> {fn from(val: i64) -> ModInt<T> {let m = T::modulo() as i64;ModInt::new((val % m + m) as u32)}}#[allow(dead_code)]impl<T> ModInt<T> {pub fn new_unchecked(d: u32) -> Self {ModInt(d, PhantomData)}pub fn zero() -> Self {ModInt::new_unchecked(0)}pub fn one() -> Self {ModInt::new_unchecked(1)}pub fn is_zero(&self) -> bool {self.0 == 0}}#[allow(dead_code)]impl<T: Modulo> ModInt<T> {pub fn new(d: u32) -> Self {ModInt::new_unchecked(d % T::modulo())}pub fn pow(&self, mut n: u64) -> Self {let mut t = Self::one();let mut s = *self;while n > 0 {if n & 1 == 1 {t *= s;}s *= s;n >>= 1;}t}pub fn inv(&self) -> Self {assert!(self.0 != 0);self.pow(T::modulo() as u64 - 2)}}#[allow(dead_code)]pub fn mod_pow(r: u64, mut n: u64, m: u64) -> u64 {let mut t = 1 % m;let mut s = r % m;while n > 0 {if n & 1 == 1 {t = t * s % m;}s = s * s % m;n >>= 1;}t}}// ---------- end ModInt ----------// ---------- begin Precalc ----------mod precalc {use super::modint::*;#[allow(dead_code)]pub struct Precalc<T> {inv: Vec<ModInt<T>>,fact: Vec<ModInt<T>>,ifact: Vec<ModInt<T>>,}#[allow(dead_code)]impl<T: Modulo> Precalc<T> {pub fn new(n: usize) -> Precalc<T> {let mut inv = vec![ModInt::one(); n + 1];let mut fact = vec![ModInt::one(); n + 1];let mut ifact = vec![ModInt::one(); n + 1];for i in 2..(n + 1) {fact[i] = fact[i - 1] * ModInt::new_unchecked(i as u32);}ifact[n] = fact[n].inv();if n > 0 {inv[n] = ifact[n] * fact[n - 1];}for i in (1..n).rev() {ifact[i] = ifact[i + 1] * ModInt::new_unchecked((i + 1) as u32);inv[i] = ifact[i] * fact[i - 1];}Precalc {inv: inv,fact: fact,ifact: ifact,}}pub fn inv(&self, n: usize) -> ModInt<T> {assert!(n > 0);self.inv[n]}pub fn fact(&self, n: usize) -> ModInt<T> {self.fact[n]}pub fn ifact(&self, n: usize) -> ModInt<T> {self.ifact[n]}pub fn perm(&self, n: usize, k: usize) -> ModInt<T> {if k > n {return ModInt::zero();}self.fact[n] * self.ifact[n - k]}pub fn comb(&self, n: usize, k: usize) -> ModInt<T> {if k > n {return ModInt::zero();}self.fact[n] * self.ifact[k] * self.ifact[n - k]}}}// ---------- end Precalc ----------//https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 よりmacro_rules! input {(source = $s:expr, $($r:tt)*) => {let mut iter = $s.split_whitespace();input_inner!{iter, $($r)*}};($($r:tt)*) => {let s = {use std::io::Read;let mut s = String::new();std::io::stdin().read_to_string(&mut s).unwrap();s};let mut iter = s.split_whitespace();input_inner!{iter, $($r)*}};}macro_rules! input_inner {($iter:expr) => {};($iter:expr, ) => {};($iter:expr, $var:ident : $t:tt $($r:tt)*) => {let $var = read_value!($iter, $t);input_inner!{$iter $($r)*}};}macro_rules! read_value {($iter:expr, ( $($t:tt),* )) => {( $(read_value!($iter, $t)),* )};($iter:expr, [ $t:tt ; $len:expr ]) => {(0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()};($iter:expr, chars) => {read_value!($iter, String).chars().collect::<Vec<char>>()};($iter:expr, bytes) => {read_value!($iter, String).bytes().collect::<Vec<u8>>()};($iter:expr, usize1) => {read_value!($iter, usize) - 1};($iter:expr, $t:ty) => {$iter.next().unwrap().parse::<$t>().expect("Parse error")};}//use modint::*;type M = ModInt<Mod>;fn run() {input! {n: usize,m: usize,x: usize,e: [(usize1, usize1, u64); m],}let mut u = union_find::UF::new(n);let mut g = vec![vec![]; n];for (a, b, z) in e {if u.unite(a, b).is_some() {g[a].push((b, M::from(x).pow(z)));g[b].push((a, M::from(x).pow(z)));}}let mut topo = vec![(0, 0)];for i in 0..n {let (v, p) = topo[i];let g = &mut g[v];if let Some(k) = g.iter().position(|u| u.0 == p) {g.remove(k);}for &(u, _) in g.iter() {topo.push((u, v));}}let mut size = vec![1; n];let mut ans = M::zero();for &(v, _) in topo.iter().rev() {for &(u, w) in g[v].iter() {ans += M::from(size[u] * (n - size[u])) * w;size[v] += size[u];}}println!("{}", ans);}fn main() {run();}