#include #include #define all(a) begin(a),end(a) #define fin(...) rr vo(pp(__VA_ARGS__)) #define ep(...) emplace(__VA_ARGS__) #define eb(...) emplace_back(__VA_ARGS__) #define ef(...) else if(__VA_ARGS__) #define wh(...) while(__VA_ARGS__) #define ov4(a,b,c,d,e,...) e #define fo1(b) for(ll ii=0,bb=(ll)(b);ii=0;--i) #define of3(i,a,b) for(ll i=(ll)(a)-1,bb=(ll)(b);i>=bb;--i) #define of4(i,a,b,c) for(ll i=(ll)(a)-1,bb=(ll)(b),cc=(ll)(c);i>=bb;i-=cc) #define of(...) ov4(__VA_ARGS__,of4,of3,of2)(__VA_ARGS__) #define fe2(v,a) for(auto&&a:v) #define fe3(v,...) for(auto&&[__VA_ARGS__]:v) #define fe(v,...) ov4(__VA_ARGS__,fe3,fe3,fe3,fe2)(v,__VA_ARGS__) #define RD(T,...) T __VA_ARGS__;li(__VA_ARGS__) #define LL(...) RD(ll,__VA_ARGS__) #define UL(n,...) u1 __VA_ARGS__;set_size({n},__VA_ARGS__);li(__VA_ARGS__) #define UV(n,...) u1 __VA_ARGS__;set_size({n},__VA_ARGS__);vi(__VA_ARGS__) #define U2(n,m,...) u2 __VA_ARGS__;set_size({n,m},__VA_ARGS__);li(__VA_ARGS__) #define I(...) template<__VA_ARGS__> #define J typename #define O operator #define rr return #define uu using #define cs const namespace atcoder{}namespace my{void main();void solve();}int main(){my::main();} namespace my{uu namespace std;uu namespace atcoder;uu is=istream;uu os=ostream;uu vo=void;uu bo=bool;uu dd=long double; uu ll=long long;uu i64=ll;uu i128=__int128_t;uu ul=unsigned long long;uu u64=ul;uu u128=__uint128_t; I(J T)uu v1=vector;I(J T)uu v2=v1>;uu u1=v1;uu u2=v2;uu str=string;uu strs=v1;str sp=" ",nc="",nl="\n"; uu ml=modint1000000007;is&O>>(is&i,ml&x){ll t;i>>t;x=t;rr i;}os&O<<(os&o,cs ml&x){rr o<;uu m2=v2; I(J A,J B=A)struct cp{ A a;B b;cp():a(),b(){}cp(A a,B b):a(a),b(b){}cp(pairp):a(p.first),b(p.second){}cp O-()cs{rr cp(-a,-b);} cp&O+=(cs cp&c){a+=c.a,b+=c.b;rr*this;}cp O+(cs cp&c)cs{rr cp{*this}+=c;}bo O==(cs cp&c)cs{rr a==c.a&&b==c.b;} cp&O-=(cs cp&c){a-=c.a,b-=c.b;rr*this;}cp O-(cs cp&c)cs{rr cp{*this}-=c;}bo O!=(cs cp&c)cs{rr a!=c.a||b!=c.b;} bo O<(cs cp&c)cs{rr a!=c.a?a=(cs cp&c)cs{rr!(*this>(is&i,cp&c){rr i>>c.a>>c.b;} bo O>(cs cp&c)cs{rr a!=c.a?a>c.a:b>c.b;}bo O<=(cs cp&c)cs{rr!(*this>c);}friend os&O<<(os&o,cs cp&c){rr o<;uu cls=v1; I(J T)uu qmax=priority_queue;I(J T)uu qmin=priority_queue,greater>;uu dl=deque;I(J T)uu uset=unordered_set; I(J T)struct mset:multiset{uu multiset::multiset;vo erase(cs T&x){if(this->count(x))multiset::erase(this->find(x));}}; I(J T,J U)uu umap=unordered_map;uu mp=map;uu ump=umap;uu sl=set;uu usl=uset;uu msl=mset; ll oo=3e18;dd ee=1e-12,pi=acosl(-1);u1 dx{-1,0,1,0,-1,1,1,-1},dy{0,-1,0,1,-1,-1,1,1}; ul rnd(){static ul x=76,y=53,z=20,w=41;ul t=(x^(x<<11));x=y,y=z,z=w;rr(w=(w^(w>>19))^(t^(t>>8)));} ll rnd_rng(ll r){rr rnd()%r;}ll rnd_rng(ll l,ll r){rr rnd()%(r-l)+l;}str Yes(bo y=1){rr y?"Yes":"No";}str No(){rr Yes(0);} bo odd(ll x){rr x&1;}bo eve(ll x){rr~x&1;}ll pm1(ll x){rr 1-2*(x&1);}ll pw2(ll n){rr 1LL<>=1,++r;rr r;}ll l10(u128 x){x|=1;ll r=0;wh(x)x/=10,++r;rr r;} u1 io(ll n,ll x=0){u1 a(n);fo(i,n)a[i]=i+x;rr a;}I(J T,J U,J V)bo in(T l,U m,V r){rr l<=m&&ma){fo(i,1,len(a))a[i]+=a[i-1];rr a;} I(J T)bo at(T x,ll i){rr x>>i&1;}I(J T)T at(cs v1&v,ll i){ll n=len(v);rr v[(i%n+n)%n];} I(J T)T flo(T x,T y){rr(y<0?flo(-x,-y):(x>=0?x/y:(x+1)/y-1));}I(J T)ll sgn(cs T&a){rr(a>ee)-(a<-ee);} I(J T)T cei(T x,T y){rr(y<0?cei(-x,-y):(x<=0?x/y:(x-1)/y+1));}I(J T,J U)ll sgn(cs T&a,cs U&b){rr sgn(a-b);} I(J T)auto&srt(v1&a){sort(all(a));rr a;}I(J T)auto&rv(v1&a){reverse(all(a));rr a;} I(J T)auto&rsr(v1&a){srt(a),rv(a);rr a;}I(J T)auto&uq(v1&a){srt(a),a.erase(unique(all(a)),end(a));rr a;} I(J T)T rect(cs v1&s,ll l,ll r){assert(0<=l&&l<=r&&r<=len(s));T t{};if(r)t+=s[r-1];if(l)t-=s[l-1];rr t;} I(J T)decltype(auto)bg(T&a){rr*begin(a);}I(J T,J U=T)vo af(v1&v,U e={}){v.ep(begin(v),e);} I(J T)decltype(auto)rb(T&a){rr*rbegin(a);}I(J T)vo df(v1&v){v.erase(begin(v));} I(J T)T pop(v1&v){T r=rb(v);v.pop_back();rr r;}I(J T)auto slice(cs v1&a,ll l,ll r){rr v1(begin(a)+l,begin(a)+r);} I(J T)T pop(qmax&q){T r=q.top();q.pop();rr r;}I(J T)T pof(deque&q){T r=bg(q);q.pop_front();rr r;} I(J T)T pop(qmin&q){T r=q.top();q.pop();rr r;}I(J T)T pob(deque&q){T r=rb(q);q.pop_back();rr r;} I(J T)auto&O++(v1&v,int){fe(v,e)++e;rr v;}I(J T)auto&O^=(v1&v,cs v1u){copy(all(u),back_inserter(v));rr v;} I(J T)auto&O--(v1&v,int){fe(v,e)--e;rr v;}I(J T)auto O^(v1v,cs v1&u){rr v^=u;} I(J T,J U)bo amax(T&a,cs U&b){rr a&a,cs U&b){rr lower_bound(all(a),b)-begin(a);} I(J T,J U)bo amin(T&a,cs U&b){rr a>b?a=b,1:0;}I(J T,J U)ll ubs(cs v1&a,cs U&b){rr upper_bound(all(a),b)-begin(a);} I(J T)T max(cs v1&a){rr*max_element(all(a));}I(J T)T sum(cs v1&a){rr accumulate(all(a),T{});} I(J T)T min(cs v1&a){rr*min_element(all(a));}I(J F,J...A)vo swl(cs F&f,A&...a){(vo)initializer_list{(vo(f(a)),0)...};} I(J T=ll,ll n)auto make_vec(u1&s,cs T&x){ll m=pop(s);if constexpr(n==1)rr vector(m,x);else rr vector(m,make_vec(s,x));} I(J T=ll,ll n)auto make_vec(cs ll(&t)[n],cs T&x={}){u1 s(n);fo(i,n)s[i]=t[n-i-1];rr make_vec(s,x);} I(J T=ll,ll n,J...A)vo set_size(cs ll(&t)[n],A&...a){swl([&](auto&a){a=make_vec(t,T());},a...);} struct fio{fio(){cin.tie(0);ios::sync_with_stdio(0);cout<&p){rr o<q){wh(len(q))o<&v){fe(v,e)o<q){wh(len(q))o<&v){fe(v,e)o<&v){fe(v,e)o<&m){fe(m,e)o<&v){fe(v,e)o<>(is&i,v1&v){fe(v,e)i>>e;rr i;} I(J T)ll pp(cs T&a){cout<>...>>a);rr 0;}I(J...A)vo vi(ll i,A&...a){(cin>>...>>a[i]);} I(J T,J...A)ll pp(cs T&a,cs A&...b){cout<&a,A&...b){fo(i,len(a))vi(i,a,b...);} struct edg{ll t,w;edg(){}edg(ll t,ll w=1):t(t),w(w){}};uu graph=v2; u2 tou(cs graph&g){ll n=len(g);u2 a(n);fo(u,n)fe(g[u],v,w)a[u].eb(v);rr a;} graph tog(cs u2&a){ll n=len(a);graph g(n);fo(u,n)fe(a[u],v)g[u].eb(v);rr g;} auto ygi(u2&g,ll m){UV(m,a,b);a--,b--;fo(i,m)g[a[i]].eb(b[i]);rr tuple(a,b);} auto mgi(u2&g,ll m){auto[a,b]=ygi(g,m);fo(i,m)g[b[i]].eb(a[i]);rr tuple(a,b);}auto ti(u2&g){rr mgi(g,len(g)-1);} u1 en(cs str&s,cs str&b="a"){ll n=len(s);u1 r(n,-1);fo(i,n)if(len(b)==1)r[i]=s[i]-b[0];else fo(j,len(b))if(s[i]==b[j])r[i]=j;rr r;} str de(cs u1&a,cs str&b="a"){ll n=len(a);str r(n,'|');fo(i,n)if(len(b)==1)r[i]=a[i]+b[0];else fo(j,len(b))if(a[i]==j)r[i]=b[j];rr r;} u2 en(cs strs&s,cs str&b="a"){u2 r;fe(s,e)r.eb(en(e,b));rr r;} strs de(cs u2&a,cs str&b="a"){ll n=len(a);strs r(n);fo(i,n)r[i]=de(a[i],b);rr r;} str ins(){str s;li(s);rr s;}strs inss(ll n){strs s(n);li(s);rr s;}u1 abc(){rr en(ins());}u2 abcs(ll n){rr en(inss(n));} I(J F)struct rec:F{rec(F&&f):F(forward(f)){}I(J...A)decltype(auto)O()(A&&...a)cs{rr F::O()(*this,std::forward(a)...);}}; I(J...A)u1 zp(A&...a){u1 v;fe({a...},e)v^=e;uq(v);swl([&](u1&a){fe(a,e)e=lbs(v,e);},a...);rr v;} I(J F,J...A)u1 vs(cs F&f,A&...a){ll n;fe({a...},e)n=len(e);u1 o=io(n);sort(all(o),f);swl([&](u1&a){u1 c=a;fo(i,n)a[i]=c[o[i]];},a...);rr o;} I(J F)ll bsl(cs F&f,ll o,ll n){wh(abs(o-n)>1)(f((o+n)/2)?o:n)=(o+n)/2;rr o;} I(J F)dd bsd(cs F&f,dd o,dd n){fo(l2(abs(o-n)/ee))(f((o+n)/2)?o:n)=(o+n)/2;rr o;} cls rle(cs u1&a){cls r;fe(a,e)len(r)&&e==rb(r).a?++rb(r).b,0:(r.eb(e,1),0);rr r;}cls rce(u1 a){rr rle(srt(a));} i128 pow(i128 x,u128 n,i128 m=0){i128 r=1;wh(n){if(n&1)r*=x;x*=x;if(m)r%=m,x%=m;n>>=1;}rr r;} u1 divs(ll n){u1 r;for(ll i=1;i*i<=n;i++)if(n%i==0)r.eb(i),r.eb(n/i);rr uq(r);} cls fact(ll n){ump m;for(ll i=2;i*i<=n;i++)wh(n%i==0)++m[i],n/=i;if(n>1)++m[n];cls r;fe(m,e)r.eb(e);rr srt(r);} tupledfs_order(cs u2&g,ll s=0){ ll n=len(g); u1 ord,dep(n),par(n); v1>st{{s,-1,0}}; wh(len(st)){ auto[u,p,d]=pop(st); ord.eb(u),dep[u]=d,par[u]=p; fe(g[u],v)if(v!=p)st.eb(v,u,d+1); } rr{ord,dep,par}; } vo main(){ll T=1;fo(T)solve();} vo solve(){ LL(N,K); u2 g(N); fo(N-1){ LL(a,b); g[a].eb(b),g[b].eb(a); } auto[ord,dep,par]=dfs_order(g); rv(ord); m2 dp(N); fe(ord,u){ dp[u].resize(2);//初期化分だけを確保 dp[u][0]=1,dp[u][1]=1; fe(g[u],v)if(v!=par[u]){ ll n=len(dp[u]),m=len(dp[v]); m1 nx(n+m-1); fo(j,n){ fo(p,m){ if(j==n-1&&p