pub fn readln() -> String { let mut line = String::new(); ::std::io::stdin() .read_line(&mut line) .unwrap_or_else(|e| panic!("{}", e)); line } macro_rules !read {($($t :tt ) ,*;$n :expr ) =>{{let stdin =::std ::io ::stdin () ;let ret =::std ::io ::BufRead ::lines (stdin .lock () ) .take ($n ) .map (|line |{let line =line .unwrap () ;let mut it =line .split_whitespace () ;_read !(it ;$($t ) ,*) } ) .collect ::>() ;ret } } ;($($t :tt ) ,*) =>{{let line =readln () ;let mut it =line .split_whitespace () ;_read !(it ;$($t ) ,*) } } ;} macro_rules !_read {($it :ident ;[char ] ) =>{_read !($it ;String ) .chars () .collect ::>() } ;($it :ident ;[u8 ] ) =>{Vec ::from (_read !($it ;String ) .into_bytes () ) } ;($it :ident ;usize1 ) =>{$it .next () .unwrap_or_else (||panic !("input mismatch" ) ) .parse ::() .unwrap_or_else (|e |panic !("{}" ,e ) ) -1 } ;($it :ident ;[usize1 ] ) =>{$it .map (|s |s .parse ::() .unwrap_or_else (|e |panic !("{}" ,e ) ) -1 ) .collect ::>() } ;($it :ident ;[$t :ty ] ) =>{$it .map (|s |s .parse ::<$t >() .unwrap_or_else (|e |panic !("{}" ,e ) ) ) .collect ::>() } ;($it :ident ;$t :ty ) =>{$it .next () .unwrap_or_else (||panic !("input mismatch" ) ) .parse ::<$t >() .unwrap_or_else (|e |panic !("{}" ,e ) ) } ;($it :ident ;$($t :tt ) ,+) =>{($(_read !($it ;$t ) ) ,*) } ;} fn main() { let (n, c) = read!(usize, usize); let mut to = vec![vec![]; n]; for _ in 0..n - 1 { let (u, v) = read!(usize1, usize1); to[u].push(v); to[v].push(u); } if c <= 6 * n + 1 { let mut dp = vec![vec![Mint(1); c + 1]; n]; let mut visit = vec![vec![false; c + 1]; n]; let mut ans = Mint(0); for i in 1..=c { ans += dfs(0, 0, &to, i as i64, c, &mut dp, &mut visit); } println!("{}", ans); } else { let mut dp = vec![vec![Mint(1); c + 1]; n]; let mut visit = vec![vec![false; c + 1]; n]; let mut ans = Mint(0); for i in 1..=c { ans += dfs(0, 0, &to, i as i64, 6 * n + 1, &mut dp, &mut visit); } ans += dp[0][3 * n + 1] * (6 * n + 1 - c) as i64; println!("{}", ans); } } fn dfs( u: usize, p: usize, to: &Vec>, s: i64, c: usize, dp: &mut Vec>, visit: &mut Vec>, ) -> Mint { if s <= 0 || s > c as i64 { return Mint(0); } let s = s as usize; if visit[u][s] { return dp[u][s]; } visit[u][s] = true; let mut x = Mint(1); for &v in to[u].iter() { if v == p { continue; } x *= dfs(v, u, to, s as i64 - 3, c, dp, visit) + dfs(v, u, to, s as i64 + 3, c, dp, visit); } dp[u][s] = x; x } const MOD: i64 = 1000000007; #[derive(Copy, Clone, Debug)] pub struct Mint(i64); impl Mint { fn new(x: i64) -> Self { Mint(x.rem_euclid(MOD)) } fn pow(self, n: usize) -> Self { match n { 0 => Mint::new(1), _ => { let mut a = self.pow(n >> 1); a *= a; if n & 1 == 1 { a *= self; } a } } } fn inv(self) -> Self { self.pow((MOD - 2) as usize) } } impl std::ops::Neg for Mint { type Output = Mint; fn neg(self) -> Self::Output { Self::new(-self.0) } } impl std::ops::AddAssign for Mint { fn add_assign(&mut self, rhs: Self) { self.0 += rhs.0; self.0 %= MOD; } } impl std::ops::AddAssign for Mint { fn add_assign(&mut self, rhs: i64) { *self += Mint::new(rhs); } } impl std::ops::Add for Mint where Mint: std::ops::AddAssign, { type Output = Self; fn add(self, other: T) -> Self { let mut res = self; res += other; res } } impl std::ops::SubAssign for Mint { fn sub_assign(&mut self, rhs: Self) { self.0 -= rhs.0; if self.0 < 0 { self.0 += MOD; } } } impl std::ops::SubAssign for Mint { fn sub_assign(&mut self, rhs: i64) { *self -= Mint::new(rhs); } } impl std::ops::Sub for Mint where Mint: std::ops::SubAssign, { type Output = Self; fn sub(self, other: T) -> Self { let mut res = self; res -= other; res } } impl std::ops::MulAssign for Mint { fn mul_assign(&mut self, rhs: Self) { self.0 *= rhs.0; self.0 %= MOD; } } impl std::ops::MulAssign for Mint { fn mul_assign(&mut self, rhs: i64) { *self *= Mint::new(rhs); } } impl std::ops::Mul for Mint where Mint: std::ops::MulAssign, { type Output = Self; fn mul(self, other: T) -> Self { let mut res = self; res *= other; res } } impl std::ops::DivAssign for Mint { fn div_assign(&mut self, rhs: Self) { *self *= rhs.inv(); } } impl std::ops::DivAssign for Mint { fn div_assign(&mut self, rhs: i64) { *self /= Mint::new(rhs); } } impl std::ops::Div for Mint where Mint: std::ops::DivAssign, { type Output = Self; fn div(self, other: T) -> Self { let mut res = self; res /= other; res } } impl std::fmt::Display for Mint { fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { write!(f, "{}", self.0) } } impl std::ops::Deref for Mint { type Target = i64; fn deref(&self) -> &Self::Target { &self.0 } } impl std::ops::DerefMut for Mint { fn deref_mut(&mut self) -> &mut Self::Target { &mut self.0 } }