// ---------- begin ModInt ---------- const MOD: u32 = 1_000_000_007; #[derive(Clone, Copy)] struct ModInt(u32); impl std::ops::Add for ModInt { type Output = ModInt; fn add(self, rhs: ModInt) -> Self::Output { let mut d = self.0 + rhs.0; if d >= MOD { d -= MOD; } ModInt(d) } } impl std::ops::AddAssign for ModInt { fn add_assign(&mut self, rhs: ModInt) { *self = *self + rhs; } } impl std::ops::Sub for ModInt { type Output = ModInt; fn sub(self, rhs: ModInt) -> Self::Output { let mut d = self.0 + MOD - rhs.0; if d >= MOD { d -= MOD; } ModInt(d) } } impl std::ops::SubAssign for ModInt { fn sub_assign(&mut self, rhs: ModInt) { *self = *self - rhs; } } impl std::ops::Mul for ModInt { type Output = ModInt; fn mul(self, rhs: ModInt) -> Self::Output { ModInt((self.0 as u64 * rhs.0 as u64 % MOD as u64) as u32) } } impl std::ops::MulAssign for ModInt { fn mul_assign(&mut self, rhs: ModInt) { *self = *self * rhs; } } impl std::ops::Neg for ModInt { type Output = ModInt; fn neg(self) -> Self::Output { ModInt(if self.0 == 0 {0} else {MOD - self.0}) } } impl std::fmt::Display for ModInt { fn fmt<'a>(&self, f: &mut std::fmt::Formatter<'a>) -> std::fmt::Result { write!(f, "{}", self.0) } } impl std::str::FromStr for ModInt { type Err = std::num::ParseIntError; fn from_str(s: &str) -> Result { let val = s.parse::()?; Ok(ModInt::new(val)) } } #[allow(dead_code)] impl ModInt { pub fn new(n: u32) -> ModInt { ModInt(n % MOD) } pub fn zero() -> ModInt { ModInt(0) } pub fn one() -> ModInt { ModInt(1) } pub fn pow(self, mut n: u32) -> ModInt { let mut t = ModInt::one(); let mut s = self; while n > 0 { if n & 1 == 1 { t *= s; } s *= s; n >>= 1; } t } pub fn inv(self) -> ModInt { self.pow(MOD - 2) } } // ---------- end ModInt ---------- // ---------- begin Tree DP ---------- struct TreeDP { size: usize, graph: Vec>, init: Init, merge: Merge, phantom: std::marker::PhantomData, } impl TreeDP where Edge: Clone, Value: Clone, Init: Fn(usize) -> Value, Merge: Fn(Value, Value, &Edge) -> Value, { fn new(size: usize, init: Init, merge: Merge) -> Self { TreeDP { size: size, graph: vec![vec![]; size], init: init, merge: merge, phantom: std::marker::PhantomData, } } fn add_edge(&mut self, a: usize, b: usize, c: Edge) { assert!(a < self.size && b < self.size && a != b); self.graph[a].push((b, c.clone())); self.graph[b].push((a, c)); } fn solve(&self, root: usize) -> Value { let size = self.size; let graph = &self.graph; let mut topo = vec![]; let mut parent = vec![root; size]; let mut stack = vec![root]; while let Some(v) = stack.pop() { topo.push(v); for e in graph[v].iter() { if e.0 != parent[v] { parent[e.0] = v; stack.push(e.0); } } } assert!(topo.len() == size); let mut dp: Vec> = (0..size).map(|_| None).collect(); for &v in topo.iter().rev() { let mut now = (self.init)(v); for u in graph[v].iter() { if u.0 == parent[v] { continue; } let b = dp[u.0].take().unwrap(); now = (self.merge)(now, b, &u.1); } dp[v] = Some(now); } dp[root].take().unwrap() } } // ---------- end Tree DP ---------- use std::io::Read; fn run() { let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); let mut it = s.trim().split_whitespace(); let n: usize = it.next().unwrap().parse().unwrap(); let k: usize = it.next().unwrap().parse().unwrap(); type Value = Vec; type Edge = (); let init = |_v: usize| -> Value { vec![ModInt::one(), ModInt::one()] }; let merge = |a: Value, b: Value, _c: &Edge| -> Value { let mut next = vec![ModInt::zero(); a.len() + b.len() - 1]; for (i, x) in a.iter().enumerate().rev().skip(1) { for (next, y) in next[i..].iter_mut().zip(b.iter()) { *next += *x * *y; } } *next.last_mut().unwrap() += ModInt::one(); next }; let mut solver = TreeDP::new(n, init, merge); for _ in 1..n { let a: usize = it.next().unwrap().parse().unwrap(); let b: usize = it.next().unwrap().parse().unwrap(); solver.add_edge(a, b, ()); } let ans = solver.solve(0)[k]; println!("{}", ans); } fn main() { run(); }