#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define all(a) a.begin(),a.end() #define rep(i, n) for (ll i = 0; i < (n); i++) #define pb push_back #define debug(x) cerr << __LINE__ << ' ' << #x << ':' << x << '\n' #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") using namespace std; typedef long long ll; typedef unsigned int uint; typedef unsigned long long ull; typedef long double ld; typedef pair P; typedef complex com; template using pque = priority_queue, greater>; constexpr int inf = 1000000010; constexpr ll INF = 1000000000000000010; constexpr int mod1e9 = 1000000007; constexpr int mod998 = 998244353; constexpr ld eps = 1e-12; constexpr ld pi = 3.141592653589793238; constexpr ll ten(int n) { return n ? 10 * ten(n - 1) : 1; }; int dx[] = { 1,0,-1,0,1,1,-1,-1 }; int dy[] = { 0,1,0,-1,1,-1,1,-1 }; void fail() { cout << "-1\n"; exit(0); } template inline bool chmax(T &a, const U &b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T &a, const U &b) { if (a > b) { a = b; return true; } return false; } template istream &operator >> (istream &s, vector &v) { for (auto &e : v) s >> e; return s; } template ostream &operator << (ostream &s, const vector &v) { for (auto &e : v) s << e << ' '; return s; } struct fastio { fastio() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(20); } }fastio_; constexpr ll mod = mod1e9; ll dp[3010][6030]; vector> graph(1010, vector()); int idx(int n, int c) { if (c <= 6020) return n; if (n < 3010) return n; if (3010 <= n && n <= c - 3011) return 6020; if (c - 3010 <= n && n <= c - 1) return 6020 - c + n; } int c; void dfs(int n, int p) { for (int i : graph[n]) { if (i == p) continue; dfs(i, n); } rep(i, min(6021, c)) dp[n][i] = 1; for (int i : graph[n]) { if (i == p) continue; rep(j, c) { if (c > 6020 && j == 3010) { dp[n][idx(j, c)] *= (2 * dp[i][idx(j, c)]); dp[n][idx(j, c)] %= mod; j = c - 3011; } else if (j <= 2) { dp[n][idx(j, c)] *= dp[i][idx(j + 3, c)]; dp[n][idx(j, c)] %= mod; } else if (j >= c - 3) { dp[n][idx(j, c)] *= dp[i][idx(j - 3, c)]; dp[n][idx(j, c)] %= mod; } else { dp[n][idx(j, c)] *= (dp[i][idx(j - 3, c)] + dp[i][idx(j + 3, c)]); dp[n][idx(j, c)] %= mod; } } } } int main() { int n; cin >> n >> c; rep(i, n - 1) { int u, v; cin >> u >> v; u--; v--; graph[u].pb(v); graph[v].pb(u); } dfs(0, -1); ll ans = 0; rep(i, 6020) ans += dp[0][i]; if (c > 6020) ans += dp[0][6020] * (c - 6020); cout << ans % mod << '\n'; }