This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
refs:
edi
https://youtu.be/Tjv78ZThV5c
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
vector<ll> adj[N];
vector<ll> dp1(N), dp2(N), dp3(N);
void dfs1(ll u, ll p){
dp1[u] = 0;
trav(v,adj[u]){
if(v == p) conts;
dfs1(v,u);
dp1[u] += (dp1[v] == 0);
}
}
void dfs2(ll u, ll p){
trav(v,adj[u]){
if(v == p) conts;
ll val = dp2[u]-(dp1[v] == 0);
dp2[v] += (val == 0);
dfs2(v,u);
}
}
void dfs3(ll u, ll p, ll depth, ll r){
if(!dp1[u]){
ll val = 1;
if(depth&1) val = 0;
dp3[r] -= dp2[r];
dp3[r] += val;
}
vector<ll> win,lose;
trav(v,adj[u]){
if(v == p) conts;
if(dp1[v]) win.pb(v);
else lose.pb(v);
}
if(sz(lose) == 0){
trav(v,win){
dfs3(v,u,depth+1,r);
}
}
else if(sz(lose) == 1){
dfs3(lose[0],u,depth+1,r);
}
}
void solve(int test_case)
{
ll n,d; cin >> n >> d;
rep1(i,n-1){
ll u,v; cin >> u >> v;
adj[u].pb(v), adj[v].pb(u);
}
dfs1(1,-1);
rep1(i,n) dp2[i] = dp1[i];
dfs2(1,-1);
rep1(i,n){
amin(dp1[i],1ll);
amin(dp2[i],1ll);
}
rep1(r,n){
dfs1(r,-1);
dp3[r] = dp2[r]*n;
dfs3(r,-1,0,r);
}
ll win_ways_w = 0, lose_ways_w = 0;
rep1(r,n){
if(dp2[r]){
win_ways_w += n;
}
else{
lose_ways_w += n;
}
}
ll win_ways_l = 0, lose_ways_l = 0;
rep1(r,n){
win_ways_l += dp3[r];
lose_ways_l += n-dp3[r];
}
ll win = 0, lose = 0;
rep1(i,n){
if(dp2[i]) win++;
else lose++;
}
rev(i,d-1,1){
ll win2 = (win*win_ways_w + lose*win_ways_l)%MOD;
ll lose2 = (win*lose_ways_w + lose*lose_ways_l)%MOD;
win = win2, lose = lose2;
}
ll ans = 0;
if(dp2[1]){
ans += n*win;
}
ans += dp3[1]*lose;
ans %= MOD;
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
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