#include "beechtree.h"
#ifndef LOCAL
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
#endif
#include <bits/stdc++.h>
using namespace std;
using ll=long long;
//#define int ll
#define rng(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,b) rng(i,0,b)
#define gnr(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define per(i,b) gnr(i,0,b)
#define pb push_back
#define eb emplace_back
#define a first
#define b second
#define bg begin()
#define ed end()
#define all(x) x.bg,x.ed
#define si(x) int(x.size())
#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif
template<class t,class u> bool chmax(t&a,u b){if(a<b){a=b;return true;}else return false;}
template<class t,class u> bool chmin(t&a,u b){if(b<a){a=b;return true;}else return false;}
template<class t> using vc=vector<t>;
template<class t> using vvc=vc<vc<t>>;
using pi=pair<int,int>;
using vi=vc<int>;
template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
return os<<"{"<<p.a<<","<<p.b<<"}";
}
template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
os<<"{";
for(auto e:v)os<<e<<",";
return os<<"}";
}
#define mp make_pair
#define mt make_tuple
#define one(x) memset(x,-1,sizeof(x))
#define zero(x) memset(x,0,sizeof(x))
#ifdef LOCAL
void dmpr(ostream&os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
os<<t<<" ";
dmpr(os,args...);
}
#define dmp2(...) dmpr(cerr,__LINE__,##__VA_ARGS__)
#else
#define dmp2(...) void(0)
#endif
using uint=unsigned;
using ull=unsigned long long;
template<class t,size_t n>
ostream& operator<<(ostream&os,const array<t,n>&a){
return os<<vc<t>(all(a));
}
template<int i,class T>
void print_tuple(ostream&,const T&){
}
template<int i,class T,class H,class ...Args>
void print_tuple(ostream&os,const T&t){
if(i)os<<",";
os<<get<i>(t);
print_tuple<i+1,T,Args...>(os,t);
}
template<class ...Args>
ostream& operator<<(ostream&os,const tuple<Args...>&t){
os<<"{";
print_tuple<0,tuple<Args...>,Args...>(os,t);
return os<<"}";
}
ll read(){
ll i;
cin>>i;
return i;
}
vi readvi(int n,int off=0){
vi v(n);
rep(i,n)v[i]=read()+off;
return v;
}
pi readpi(int off=0){
int a,b;cin>>a>>b;
return pi(a+off,b+off);
}
template<class t>
void print_single(t x,int suc=1){
cout<<x;
if(suc==1)
cout<<"\n";
if(suc==2)
cout<<" ";
}
template<class t,class u>
void print_single(const pair<t,u>&p,int suc=1){
print_single(p.a,2);
print_single(p.b,suc);
}
template<class T>
void print_single(const vector<T>&v,int suc=1){
rep(i,v.size())
print_single(v[i],i==int(v.size())-1?suc:2);
}
template<class T>
void print_offset(const vector<T>&v,ll off,int suc=1){
rep(i,v.size())
print_single(v[i]+off,i==int(v.size())-1?suc:2);
}
template<class T,size_t N>
void print_single(const array<T,N>&v,int suc=1){
rep(i,N)
print_single(v[i],i==int(N)-1?suc:2);
}
template<class T>
void print(const T&t){
print_single(t);
}
template<class T,class ...Args>
void print(const T&t,const Args&...args){
print_single(t,2);
print(args...);
}
string readString(){
string s;
cin>>s;
return s;
}
template<class T>
T sq(const T& t){
return t*t;
}
void YES(bool ex=true){
cout<<"YES\n";
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
void NO(bool ex=true){
cout<<"NO\n";
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
void Yes(bool ex=true){
cout<<"Yes\n";
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
void No(bool ex=true){
cout<<"No\n";
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
//#define CAPITAL
/*
void yes(bool ex=true){
#ifdef CAPITAL
cout<<"YES"<<"\n";
#else
cout<<"Yes"<<"\n";
#endif
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
void no(bool ex=true){
#ifdef CAPITAL
cout<<"NO"<<"\n";
#else
cout<<"No"<<"\n";
#endif
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}*/
void possible(bool ex=true){
#ifdef CAPITAL
cout<<"POSSIBLE"<<"\n";
#else
cout<<"Possible"<<"\n";
#endif
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
void impossible(bool ex=true){
#ifdef CAPITAL
cout<<"IMPOSSIBLE"<<"\n";
#else
cout<<"Impossible"<<"\n";
#endif
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
constexpr ll ten(int n){
return n==0?1:ten(n-1)*10;
}
const ll infLL=LLONG_MAX/3;
#ifdef int
const int inf=infLL;
#else
const int inf=INT_MAX/2-100;
#endif
int topbit(signed t){
return t==0?-1:31-__builtin_clz(t);
}
int topbit(ll t){
return t==0?-1:63-__builtin_clzll(t);
}
int topbit(ull t){
return t==0?-1:63-__builtin_clzll(t);
}
int botbit(signed a){
return a==0?32:__builtin_ctz(a);
}
int botbit(ll a){
return a==0?64:__builtin_ctzll(a);
}
int botbit(ull a){
return a==0?64:__builtin_ctzll(a);
}
int popcount(signed t){
return __builtin_popcount(t);
}
int popcount(ll t){
return __builtin_popcountll(t);
}
int popcount(ull t){
return __builtin_popcountll(t);
}
int bitparity(ll t){
return __builtin_parityll(t);
}
bool ispow2(int i){
return i&&(i&-i)==i;
}
ll mask(int i){
return (ll(1)<<i)-1;
}
ull umask(int i){
return (ull(1)<<i)-1;
}
ll minp2(ll n){
if(n<=1)return 1;
else return ll(1)<<(topbit(n-1)+1);
}
bool inc(int a,int b,int c){
return a<=b&&b<=c;
}
template<class t> void mkuni(vc<t>&v){
sort(all(v));
v.erase(unique(all(v)),v.ed);
}
template<class t> bool isuni(vc<t> v){
int s=si(v);
mkuni(v);
return s==si(v);
}
ll rand_int(ll l, ll r) { //[l, r]
//#ifdef LOCAL
static mt19937_64 gen;
/*#else
static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
#endif*/
return uniform_int_distribution<ll>(l, r)(gen);
}
ll rand_int(ll k){ //[0,k)
return rand_int(0,k-1);
}
template<class t>
void myshuffle(vc<t>&a){
rep(i,si(a))swap(a[i],a[rand_int(0,i)]);
}
template<class t,class u>
int lwb(const vc<t>&v,const u&a){
return lower_bound(all(v),a)-v.bg;
}
template<class t,class u>
bool bis(const vc<t>&v,const u&a){
return binary_search(all(v),a);
}
vvc<int> readGraph(int n,int m){
vvc<int> g(n);
rep(i,m){
int a,b;
cin>>a>>b;
//sc.read(a,b);
a--;b--;
g[a].pb(b);
g[b].pb(a);
}
return g;
}
vvc<int> readTree(int n){
return readGraph(n,n-1);
}
template<class t>
vc<t> presum(const vc<t>&a){
vc<t> s(si(a)+1);
rep(i,si(a))s[i+1]=s[i]+a[i];
return s;
}
vc<ll> presum(const vi&a){
vc<ll> s(si(a)+1);
rep(i,si(a))s[i+1]=s[i]+a[i];
return s;
}
//BIT で数列を管理するときに使う (CF850C)
template<class t>
vc<t> predif(vc<t> a){
gnr(i,1,si(a))a[i]-=a[i-1];
return a;
}
template<class t>
vvc<ll> imos(const vvc<t>&a){
int n=si(a),m=si(a[0]);
vvc<ll> b(n+1,vc<ll>(m+1));
rep(i,n)rep(j,m)
b[i+1][j+1]=b[i+1][j]+b[i][j+1]-b[i][j]+a[i][j];
return b;
}
//verify してないや
void transvvc(int&n,int&m){
swap(n,m);
}
template<class t,class... Args>
void transvvc(int&n,int&m,vvc<t>&a,Args&...args){
assert(si(a)==n);
vvc<t> b(m,vi(n));
rep(i,n){
assert(si(a[i])==m);
rep(j,m)b[j][i]=a[i][j];
}
a.swap(b);
transvvc(n,m,args...);
}
//CF854E
void rotvvc(int&n,int&m){
swap(n,m);
}
template<class t,class... Args>
void rotvvc(int&n,int&m,vvc<t>&a,Args&...args){
assert(si(a)==n);
vvc<t> b(m,vi(n));
rep(i,n){
assert(si(a[i])==m);
rep(j,m)b[m-1-j][i]=a[i][j];
}
a.swap(b);
rotvvc(n,m,args...);
}
//ソートして i 番目が idx[i]
//CF850C
template<class t>
vi sortidx(const vc<t>&a){
int n=si(a);
vi idx(n);iota(all(idx),0);
sort(all(idx),[&](int i,int j){return a[i]<a[j];});
return idx;
}
//vs[i]=a[idx[i]]
//例えば sortidx で得た idx を使えば単にソート列になって返ってくる
//CF850C
template<class t>
vc<t> a_idx(const vc<t>&a,const vi&idx){
int n=si(a);
assert(si(idx)==n);
vc<t> vs(n);
rep(i,n)vs[i]=a[idx[i]];
return vs;
}
//CF850C
vi invperm(const vi&p){
int n=si(p);
vi q(n);
rep(i,n)q[p[i]]=i;
return q;
}
template<class t,class s=t>
s SUM(const vc<t>&a){
return accumulate(all(a),s(0));
}
template<class t,size_t K,class s=t>
s SUM(const array<t,K>&a){
return accumulate(all(a),s(0));
}
template<class t>
t MAX(const vc<t>&a){
return *max_element(all(a));
}
template<class t>
pair<t,int> MAXi(const vc<t>&a){
auto itr=max_element(all(a));
return mp(*itr,itr-a.bg);
}
template<class A>
auto MIN(const A&a){
return *min_element(all(a));
}
template<class t>
pair<t,int> MINi(const vc<t>&a){
auto itr=min_element(all(a));
return mp(*itr,itr-a.bg);
}
vi vid(int n){
vi res(n);iota(all(res),0);
return res;
}
template<class S>
void soin(S&s){
sort(all(s));
}
template<class S,class F>
void soin(S&s,F&&f){
sort(all(s),forward<F>(f));
}
template<class S>
S soout(S s){
soin(s);
return s;
}
template<class S>
void rein(S&s){
reverse(all(s));
}
template<class S>
S reout(S s){
rein(s);
return s;
}
template<class t,class u>
pair<t,u>&operator+=(pair<t,u>&a,pair<t,u> b){
a.a+=b.a;a.b+=b.b;return a;}
template<class t,class u>
pair<t,u>&operator-=(pair<t,u>&a,pair<t,u> b){
a.a-=b.a;a.b-=b.b;return a;}
template<class t,class u>
pair<t,u> operator+(pair<t,u> a,pair<t,u> b){return mp(a.a+b.a,a.b+b.b);}
template<class t,class u>
pair<t,u> operator-(pair<t,u> a,pair<t,u> b){return mp(a.a-b.a,a.b-b.b);}
template<class t,class u>
pair<t,u> operator-(pair<t,u> a){return mp(-a.a,-a.b);}
template<class t,class u>
istream&operator>>(istream&is,pair<t,u>&a){
return is>>a.a>>a.b;
}
template<class t>
t gpp(vc<t>&vs){
assert(si(vs));
t res=move(vs.back());
vs.pop_back();
return res;
}
template<class t,class u>
void pb(vc<t>&a,const vc<u>&b){
a.insert(a.ed,all(b));
}
template<class t,class...Args>
vc<t> cat(vc<t> a,Args&&...b){
(pb(a,forward<Args>(b)),...);
return a;
}
template<class t,class u>
vc<t>& operator+=(vc<t>&a,u x){
for(auto&v:a)v+=x;
return a;
}
template<class t,class u>
vc<t> operator+(vc<t> a,u x){
return a+=x;
}
template<class t>
vc<t> operator+(const vc<t>&a,const vc<t>&b){
vc<t> c(max(si(a),si(b)));
rep(i,si(a))c[i]+=a[i];
rep(i,si(b))c[i]+=b[i];
return c;
}
template<class t,class u>
vc<t>& operator-=(vc<t>&a,u x){
for(auto&v:a)v-=x;
return a;
}
template<class t,class u>
vc<t>& operator-(vc<t> a,u x){
return a-=x;
}
template<class t,class u>
void remval(vc<t>&a,const u&v){
a.erase(remove(all(a),v),a.ed);
}
//消した要素の個数を返してくれる
//UCUP 2-8-F
template<class t,class F>
int remif(vc<t>&a,F f){
auto itr=remove_if(all(a),f);
int res=a.ed-itr;
a.erase(itr,a.ed);
return res;
}
template<class VS,class u>
void fila(VS&vs,const u&a){
fill(all(vs),a);
}
template<class t,class u>
int findid(const vc<t>&vs,const u&a){
auto itr=find(all(vs),a);
if(itr==vs.ed)return -1;
else return itr-vs.bg;
}
template<class t>
void rtt(vc<t>&vs,int i){
rotate(vs.bg,vs.bg+i,vs.ed);
}
//Montgomery
//Ucup1-10 G (モンゴメリじゃないとTLE)
struct modinfo{
using u128=__uint128_t;
ull n,n2,r,t,e;
modinfo(ull nn){
n=nn;
assert(n<(1ull<<62));
assert(n%2==1);
n2=n*2;
r=n&3;
rep(_,5)r*=2-n*r;
r=-r;
assert(r*n==-1ull);
t=-ull(n)%n;
e=-u128(n)%n;
}
ull add(ull x,ull y)const{x+=y;return x<n2?x:x-n2;}
ull re(u128 x)const{return (x+u128(ull(x)*r)*n)>>64;}
ull mult(ull x,ull y)const{return re(u128(x)*y);}
ull en(ull x)const{return mult(x,e);}
ull de(ull x)const{x=re(x);return x<n?x:x-n;}
};
template<modinfo const&ref>
struct modular{
static constexpr ull const &mod=ref.n;
static constexpr ull const &mod2=ref.n2;
ull v;
modular(ll vv=0){v=ref.en(vv%(ll)mod+mod);}
modular operator-()const{return modular()-*this;}
modular&operator+=(const modular&rhs){v=ref.add(v,rhs.v);return *this;}
modular&operator-=(const modular&rhs){v=ref.add(v,mod2-rhs.v);return *this;}
modular&operator*=(const modular&rhs){v=ref.mult(v,rhs.v);return *this;}
modular&operator/=(const modular&rhs){return *this*=rhs.inv();}
modular operator+(const modular&rhs)const{return modular(*this)+=rhs;}
modular operator-(const modular&rhs)const{return modular(*this)-=rhs;}
modular operator*(const modular&rhs)const{return modular(*this)*=rhs;}
modular operator/(const modular&rhs)const{return modular(*this)/=rhs;}
modular pow(ll n)const{
modular res(1),x(*this);
while(n){
if(n&1)res*=x;
x*=x;
n>>=1;
}
return res;
}
modular inv()const{return pow(mod-2);}
friend modular operator+(ll x,const modular&y){
return modular(x)+y;
}
friend modular operator-(ll x,const modular&y){
return modular(x)-y;
}
friend modular operator*(ll x,const modular&y){
return modular(x)*y;
}
friend modular operator/(ll x,const modular&y){
return modular(x)/y;
}
ull val()const{return ref.de(v);}
friend ostream& operator<<(ostream&os,const modular&m){
return os<<m.val();
}
friend istream& operator>>(istream&is,modular&m){
ll x;is>>x;
m=modular(x);
return is;
}
bool operator<(const modular&r)const{return val()<r.val();}
bool operator==(const modular&r)const{return val()==r.val();}
bool operator!=(const modular&r)const{return val()!=r.val();}
explicit operator bool()const{
return val();
}
};
template<class mint>
ll m2l(mint a){
ull v=a.val();
return v<mint::mod/2?v:ll(v)-ll(mint::mod);
}
//2^62 未満での最大の素数
const modinfo base(4611686018427387847ll);
//modinfo base(1);
using mint=modular<base>;
bool dbg=false;
//内部でグラフをいじるから in,out を使うときは注意
//hei[v] -> heavy edge で潜っていった時,自分含めて何個あるか
//pe[v]: v->par[v] の辺の情報
//-有向木のときは上から下の辺を入れてる
//-無向木のときは下から上の辺を入れてる
//VERIFY: yosupo
//CF530F
//CodeChef Persistent Oak
//AOJ GRL5C
template<class E>
struct HLD{
vvc<E> g;
int n,rt,cnt;
vi sub,in,out,par,head,dep,hei,ni;
vc<E> pe;
int dfs1(int v,int p,int d){
par[v]=p;
dep[v]=d;
for(auto itr=g[v].bg;itr!=g[v].ed;itr++)
if(*itr==p){
pe[v]=*itr;
g[v].erase(itr);
break;
}
for(auto&e:g[v]){
pe[e]=e;
sub[v]+=dfs1(e,v,d+1);
if(sub[g[v][0]]<sub[e])
swap(g[v][0],e);
}
return sub[v];
}
void dfs2(int v,int h){
in[v]=cnt++;
head[v]=h;
for(int to:g[v])
dfs2(to,to==g[v][0]?h:to);
out[v]=cnt;
if(si(g[v]))hei[v]=hei[g[v][0]]+1;
}
HLD(){}
HLD(const vvc<E>&gg,int rr):g(gg),n(g.size()),rt(rr),cnt(0),
sub(n,1),in(n),out(n),par(n,-1),head(n),dep(n),hei(n,1),ni(n),
pe(n){
dfs1(rt,-1,0);
dfs2(rt,rt);
rep(i,n)ni[in[i]]=i;
}
int lca(int a,int b){
while(head[a]!=head[b]){
if(dep[head[a]]>dep[head[b]])
swap(a,b);
b=par[head[b]];
}
if(dep[a]>dep[b])
swap(a,b);
return a;
}
int len(int a,int b){
return dep[a]+dep[b]-dep[lca(a,b)]*2;
}
bool asde(int a,int b){
return in[a]<=in[b]&&out[b]<=out[a];
}
//UCUP 1-22 F
int adv(int a,int d){
if(hei[a]<=d)return -1;
else return ni[in[a]+d];
}
//CF692F
int getpar(int v,int len){
assert(dep[v]>=len);
int tar=dep[v]-len;
while(1){
int h=head[v];
if(dep[h]<=tar){
return ni[in[h]+(tar-dep[h])];
}
v=par[h];
}
assert(false);
}
//1st UCUP 13 G
int jump(int a,int b,int d){
int c=lca(a,b);
if(d<=(dep[a]-dep[c])){
return getpar(a,d);
}else{
d=(dep[a]+dep[b]-dep[c]*2)-d;
assert(d>=0);
return getpar(b,d);
}
}
//XX Opencup GP of Korea
//CF625 F
//2020 Multi-Uni Contest Day5 G
//CF415E
//Universal Cup 2023 Stage 1 G
vi index;
//vs を含む virtual tree を返す
//返すのは virtual tree に使われた頂点と,辺の集合
//辺の端点は,virtual tree における番号
//元の木における番号を virtual tree の頂点番号に写すのが,index という変数
//辺は ch->par の順
//virtual tree は行き掛け順で番号がついている
//特に,頂点 0 が根になるようにできている
//pair<vi,vc<pi>> tree_compress(vi vs){
void tree_compress(vi&vs,vc<pi>&es){
if(si(index)==0)index.resize(n);
assert(index.size());
auto comp = [&](int x,int y){
return in[x] < in[y];
};
sort(all(vs),comp);
assert(is_sorted(all(vs),comp));
vs.erase(unique(all(vs)),vs.ed);
int k = vs.size();
rep(i,k-1){
vs.pb(lca(vs[i],vs[i+1]));
}
sort(all(vs),comp);
vs.erase(unique(all(vs)),vs.ed);
k = vs.size();
rep(i,k) index[vs[i]] = i;
es.clear();
rng(i,1,k){
int p = lca(vs[i-1],vs[i]);
es.eb(i,index[p]);
}
//return mp(vs,es);
}
//assume a is desdendant of b
//ex=true <=> exclude b
template<class F>
void subpath_work(int a,int b,bool ex,F f){
while(1){
if(head[a]==head[b]){
f(in[b]+ex,in[a]+1);
break;
}else{
int h=head[a];
f(in[h],in[a]+1);
a=par[h];
}
}
}
//KUPC2021E
//パスに対する操作順に注意
//euler-tour 順にしたときの区間に作用していることに注意
//ex=true exclude lca(a,b) (=apply path edges)
template<class F>
void path_work(int a,int b,bool ex,F f){
int c=lca(a,b);
subpath_work(a,c,ex,f);
subpath_work(b,c,true,f);
}
//v->false
//-1->true
//root-v パス上で f(x)=true となる最も深い頂点を返す
//CF857G
template<class F>
int find_lowest(int v,F f)const{
while(v>=0){
int h=head[v];
if(!f(h)){
v=par[h];
}else{
int l=0,r=dep[v]-dep[h]+1;
while(r-l>1){
const int mid=(l+r)/2;
if(f(ni[in[h]+mid]))l=mid;
else r=mid;
}
return ni[in[h]+l];
}
}
return -1;
}
//-1->false
//v->true
//root-v パス上で f(x)=true となる最も浅い頂点を返す
//Yandex Cup 2023 Semifinal F (TLE...)
template<class F>
int find_highest(int v,F f)const{
while(1){
int h=head[v];
int p=par[h];
if(p!=-1&&f(p)){
v=p;
}else{
int l=-1,r=dep[v]-dep[h];
while(r-l>1){
const int mid=(l+r)/2;
if(f(ni[in[h]+mid]))r=mid;
else l=mid;
}
return ni[in[h]+r];
}
}
assert(false);
}
};
//N() が単位元
//VERIFY: yosupo
//CF407E
template<class N>
struct segtree{
vc<N> x;
int n,s;
segtree(){}
template<class t>
segtree(const vc<t>&a){
n=a.size();
s=1;
while(s<n){s*=2;}
x.resize(s*2);
rep(i,n)
x[s+i]=N(a[i]);
gnr(i,1,s)
x[i]=N::merge(x[i*2],x[i*2+1]);
}
//NOT Verified
segtree(int nn){
resize(nn);
}
void resize(int nn){
n=nn;
s=1;
while(s<n){s*=2;}
x.assign(s*2,N());
gnr(i,1,s)
x[i]=N::merge(x[i*2],x[i*2+1]);
}
template<class t>
void load(const vc<t>&a){
n=a.size();
s=1;
while(s<n){s*=2;}
x.resize(s*2);
rep(i,n)
x[s+i]=N(a[i]);
rng(i,n,s)
x[s+i]=N();
gnr(i,1,s)
x[i]=N::merge(x[i*2],x[i*2+1]);
}
void clear(){
rep(i,n)
x[s+i]=N();
gnr(i,1,s)
x[i]=N::merge(x[i*2],x[i*2+1]);
}
N point_get(int i){
assert(inc(0,i,n-1));
return x[i+s];
}
void point_set(int i,const N&t){
assert(inc(0,i,n-1));
i+=s;
x[i]=t;
while(i>>=1)x[i]=N::merge(x[i*2],x[i*2+1]);
}
void point_merge(int i,const N&t){
assert(inc(0,i,n-1));
i+=s;
x[i]=N::merge(x[i],t);
while(i>>=1)x[i]=N::merge(x[i*2],x[i*2+1]);
}
template<class F,class...Args>
void point_change(int i,F f,Args&&...args){
assert(inc(0,i,n-1));
i+=s;
(x[i].*f)(forward<Args>(args)...);
while(i>>=1)x[i]=N::merge(x[i*2],x[i*2+1]);
}
N composite(int b,int e){
assert(0<=b&&b<=e&&e<=n);
N lf,rt;
for(int l=b+s,r=e+s;l<r;l>>=1,r>>=1){
if (l&1){
lf=N::merge(lf,x[l]);
l++;
}
if (r&1){
r--;
rt=N::merge(x[r],rt);
}
}
return N::merge(lf,rt);
}
N getall(){
return x[1];
}
//UTPC2020E
//n 超えるかもしれない
template <class F,class... Args>
pair<int,N> max_right(int l,F f,Args&&... args){
assert((N().*f)(forward<Args>(args)...));
assert(0<=l&&l<=n);
if(l==n)return mp(n,N());
l+=s;
N sm;
assert((sm.*f)(forward<Args>(args)...));
do {
while (l % 2 == 0) l >>= 1;
if (!(N::merge(sm,x[l]).*f)(forward<Args>(args)...)){
while (l < s) {
l = (2 * l);
N tmp=N::merge(sm,x[l]);
if ((tmp.*f)(forward<Args>(args)...)) {
sm = tmp;
l++;
}
}
return mp(l - s,sm);
}
sm = N::merge(sm, x[l]);
l++;
} while ((l & -l) != l);
return mp(n,sm);
}
//UTPC2020E
template <class F,class... Args>
pair<int,N> min_left(int r,F f,Args&&... args){
assert((N().*f)(forward<Args>(args)...));
assert(0<=r&&r<=n);
if(r==0)return mp(0,N());
r+=s;
N sm;
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!(N::merge(x[r],sm).*f)(forward<Args>(args)...)) {
while (r < s) {
r = (2 * r + 1);
N tmp=N::merge(x[r],sm);
if ((tmp.*f)(forward<Args>(args)...)) {
sm = tmp;
r--;
}
}
return mp(r + 1 - s,sm);
}
sm = N::merge(x[r], sm);
} while ((r & -r) != r);
return mp(0,sm);
}
//行列とか乗せて必要なのはベクトルとの積,みたいなときに使える?
//CF Goodbye 2016 E
//CF 896 F
template<class F,class T,class... Args>
T accumulate(int l,int r,F f,T t,Args&&... args) {
assert(0<=l&&l<=r&&r<=n);
static int buf[2][30];
int cnt[2]{};
for(l+=s,r+=s;l<r;l>>=1,r>>=1){
if(l&1)buf[0][cnt[0]++]=l;
if(r&1)buf[1][cnt[1]++]=r-1;
l++;
}
rep(i,cnt[0])t=(x[buf[0][i]].*f)(t,forward<Args>(args)...);
per(i,cnt[1])t=(x[buf[1][i]].*f)(t,forward<Args>(args)...);
return t;
}
};
//max版
struct PreMax{
int len,sum,pos,val;
PreMax():len(0),sum(0),pos(0),val(0){}
PreMax(int v):len(1),sum(v){
single();
}
void single(){
if(sum>0){
pos=1;
val=sum;
}else{
pos=0;
val=0;
}
}
static PreMax merge(const PreMax&a,const PreMax&b){
PreMax res;
res.len=a.len+b.len;
res.sum=a.sum+b.sum;
if(a.val>=a.sum+b.val){
res.pos=a.pos;
res.val=a.val;
}else{
res.pos=a.len+b.pos;
res.val=a.sum+b.val;
}
return res;
}
void add(int v){
assert(len==1);
sum+=v;
single();
}
};
const mint W=3277392570379474389;
struct Z{
int n;
segtree<PreMax> seg;
vc<set<mint>> buf;
map<mint,int> pos;
void init(int nn){
n=nn;
seg=segtree<PreMax>(vi(n,-1));
buf.resize(n);
}
void modifyseg(int i){
seg.point_set(i,si(buf[i])-1);
}
void upd(mint v,int s){
auto itr=pos.find(v);
if(itr!=pos.ed){
if(itr->b<=s)return;
buf[itr->b].erase(v);
modifyseg(itr->b);
pos.erase(itr);
}
pos[v]=s;
buf[s].insert(v);
modifyseg(s);
}
void collect(int l,int r,mint c,vc<mint>&ls){
rng(i,l,r)for(auto v:buf[i])ls.pb(c+W*v);
}
void moveto(Z&z){
for(auto [v,i]:pos)z.upd(v,i);
}
bool isok(){
return seg.getall().val<=0;
}
};
struct E{
int to,col;
operator int()const{
return to;
}
};
std::vector<int> beechtree(int n,int,std::vector<int> P,std::vector<int> C){
vi ans(n,1);
vvc<E> t(n);
rng(i,1,n){
t[P[i]].pb({i,C[i]});
}
HLD<E> hld(t,0);
vc<Z> z(n);
rep(i,n)if(hld.head[i]==i)z[i].init(hld.sub[i]);
per(i,n){
{
vi tmp;
for(auto [j,c]:t[i]){
ans[i]&=ans[j];
tmp.pb(c);
}
ans[i]&=isuni(tmp);
}
if(ans[i]){
int h=hld.head[i];
if(t[i].empty()){
z[h].upd(0,0);
}else{
{
vc<mint> ls;
for(auto [j,c]:t[i]){
int ign=0;
for(auto [k,d]:t[j])if(c==d)ign=hld.sub[k];
z[hld.head[j]].collect(ign,hld.sub[j],c,ls);
}
for(auto v:ls)
z[h].upd(v,hld.sub[i]-1);
}
for(auto [j,c]:t[i])if(hld.head[j]==j){
z[j].moveto(z[h]);
z[j]=Z();
}
}
ans[i]=z[h].isok();
if(ans[i]){
dmp2(i,hld.sub[i],si(z[h].pos));
assert(si(z[h].pos)==hld.sub[i]);
}
}
}
return ans;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
432 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
600 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
544 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
344 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
600 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
444 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
600 KB |
Output is correct |
7 |
Correct |
113 ms |
86180 KB |
Output is correct |
8 |
Correct |
112 ms |
86080 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
2 ms |
1372 KB |
Output is correct |
14 |
Correct |
3 ms |
1480 KB |
Output is correct |
15 |
Correct |
1 ms |
1368 KB |
Output is correct |
16 |
Correct |
2 ms |
1156 KB |
Output is correct |
17 |
Correct |
325 ms |
108008 KB |
Output is correct |
18 |
Correct |
505 ms |
116028 KB |
Output is correct |
19 |
Correct |
163 ms |
93876 KB |
Output is correct |
20 |
Correct |
109 ms |
86080 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
500 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
1116 KB |
Output is correct |
12 |
Correct |
2 ms |
856 KB |
Output is correct |
13 |
Correct |
2 ms |
1116 KB |
Output is correct |
14 |
Correct |
2 ms |
1116 KB |
Output is correct |
15 |
Correct |
271 ms |
68204 KB |
Output is correct |
16 |
Correct |
221 ms |
64428 KB |
Output is correct |
17 |
Correct |
250 ms |
65264 KB |
Output is correct |
18 |
Correct |
262 ms |
67224 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
113 ms |
86180 KB |
Output is correct |
6 |
Correct |
112 ms |
86080 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
2 ms |
1496 KB |
Output is correct |
10 |
Correct |
2 ms |
1372 KB |
Output is correct |
11 |
Correct |
225 ms |
109628 KB |
Output is correct |
12 |
Correct |
244 ms |
103708 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
432 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
600 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
544 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
600 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
344 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
444 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
344 KB |
Output is correct |
40 |
Correct |
1 ms |
344 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
1 ms |
348 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
1 ms |
348 KB |
Output is correct |
45 |
Correct |
1 ms |
348 KB |
Output is correct |
46 |
Correct |
1 ms |
348 KB |
Output is correct |
47 |
Correct |
1 ms |
344 KB |
Output is correct |
48 |
Correct |
1 ms |
344 KB |
Output is correct |
49 |
Correct |
1 ms |
344 KB |
Output is correct |
50 |
Correct |
1 ms |
500 KB |
Output is correct |
51 |
Correct |
1 ms |
348 KB |
Output is correct |
52 |
Correct |
1 ms |
348 KB |
Output is correct |
53 |
Correct |
1 ms |
348 KB |
Output is correct |
54 |
Correct |
1 ms |
344 KB |
Output is correct |
55 |
Correct |
1 ms |
348 KB |
Output is correct |
56 |
Correct |
1 ms |
348 KB |
Output is correct |
57 |
Correct |
1 ms |
348 KB |
Output is correct |
58 |
Correct |
1 ms |
372 KB |
Output is correct |
59 |
Correct |
1 ms |
348 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
61 |
Correct |
1 ms |
348 KB |
Output is correct |
62 |
Correct |
1 ms |
436 KB |
Output is correct |
63 |
Correct |
1 ms |
348 KB |
Output is correct |
64 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
544 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
344 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
600 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
2 ms |
1372 KB |
Output is correct |
26 |
Correct |
3 ms |
1368 KB |
Output is correct |
27 |
Correct |
3 ms |
1372 KB |
Output is correct |
28 |
Correct |
2 ms |
1368 KB |
Output is correct |
29 |
Correct |
3 ms |
1368 KB |
Output is correct |
30 |
Correct |
3 ms |
1372 KB |
Output is correct |
31 |
Correct |
7 ms |
1628 KB |
Output is correct |
32 |
Correct |
4 ms |
1628 KB |
Output is correct |
33 |
Correct |
3 ms |
1372 KB |
Output is correct |
34 |
Correct |
6 ms |
1884 KB |
Output is correct |
35 |
Correct |
4 ms |
1628 KB |
Output is correct |
36 |
Correct |
3 ms |
1372 KB |
Output is correct |
37 |
Correct |
3 ms |
1372 KB |
Output is correct |
38 |
Correct |
2 ms |
1372 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
432 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
600 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
544 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
600 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
344 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
444 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
344 KB |
Output is correct |
40 |
Correct |
1 ms |
344 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
2 ms |
1372 KB |
Output is correct |
43 |
Correct |
3 ms |
1480 KB |
Output is correct |
44 |
Correct |
1 ms |
1368 KB |
Output is correct |
45 |
Correct |
2 ms |
1156 KB |
Output is correct |
46 |
Correct |
1 ms |
348 KB |
Output is correct |
47 |
Correct |
1 ms |
348 KB |
Output is correct |
48 |
Correct |
1 ms |
348 KB |
Output is correct |
49 |
Correct |
1 ms |
348 KB |
Output is correct |
50 |
Correct |
1 ms |
348 KB |
Output is correct |
51 |
Correct |
1 ms |
344 KB |
Output is correct |
52 |
Correct |
1 ms |
344 KB |
Output is correct |
53 |
Correct |
1 ms |
344 KB |
Output is correct |
54 |
Correct |
1 ms |
500 KB |
Output is correct |
55 |
Correct |
1 ms |
348 KB |
Output is correct |
56 |
Correct |
2 ms |
1116 KB |
Output is correct |
57 |
Correct |
2 ms |
856 KB |
Output is correct |
58 |
Correct |
2 ms |
1116 KB |
Output is correct |
59 |
Correct |
2 ms |
1116 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
61 |
Correct |
1 ms |
348 KB |
Output is correct |
62 |
Correct |
2 ms |
1496 KB |
Output is correct |
63 |
Correct |
2 ms |
1372 KB |
Output is correct |
64 |
Correct |
1 ms |
344 KB |
Output is correct |
65 |
Correct |
1 ms |
348 KB |
Output is correct |
66 |
Correct |
1 ms |
348 KB |
Output is correct |
67 |
Correct |
1 ms |
348 KB |
Output is correct |
68 |
Correct |
1 ms |
372 KB |
Output is correct |
69 |
Correct |
1 ms |
348 KB |
Output is correct |
70 |
Correct |
1 ms |
348 KB |
Output is correct |
71 |
Correct |
1 ms |
348 KB |
Output is correct |
72 |
Correct |
1 ms |
436 KB |
Output is correct |
73 |
Correct |
1 ms |
348 KB |
Output is correct |
74 |
Correct |
1 ms |
348 KB |
Output is correct |
75 |
Correct |
2 ms |
1372 KB |
Output is correct |
76 |
Correct |
3 ms |
1368 KB |
Output is correct |
77 |
Correct |
3 ms |
1372 KB |
Output is correct |
78 |
Correct |
2 ms |
1368 KB |
Output is correct |
79 |
Correct |
3 ms |
1368 KB |
Output is correct |
80 |
Correct |
3 ms |
1372 KB |
Output is correct |
81 |
Correct |
7 ms |
1628 KB |
Output is correct |
82 |
Correct |
4 ms |
1628 KB |
Output is correct |
83 |
Correct |
3 ms |
1372 KB |
Output is correct |
84 |
Correct |
6 ms |
1884 KB |
Output is correct |
85 |
Correct |
4 ms |
1628 KB |
Output is correct |
86 |
Correct |
3 ms |
1372 KB |
Output is correct |
87 |
Correct |
3 ms |
1372 KB |
Output is correct |
88 |
Correct |
2 ms |
1372 KB |
Output is correct |
89 |
Correct |
3 ms |
1624 KB |
Output is correct |
90 |
Correct |
3 ms |
1628 KB |
Output is correct |
91 |
Correct |
6 ms |
1628 KB |
Output is correct |
92 |
Correct |
4 ms |
1628 KB |
Output is correct |
93 |
Correct |
3 ms |
1372 KB |
Output is correct |
94 |
Correct |
6 ms |
1884 KB |
Output is correct |
95 |
Correct |
5 ms |
1628 KB |
Output is correct |
96 |
Correct |
3 ms |
1372 KB |
Output is correct |
97 |
Correct |
3 ms |
1472 KB |
Output is correct |
98 |
Correct |
2 ms |
1476 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
544 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
344 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
600 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
2 ms |
1372 KB |
Output is correct |
26 |
Correct |
3 ms |
1368 KB |
Output is correct |
27 |
Correct |
3 ms |
1372 KB |
Output is correct |
28 |
Correct |
2 ms |
1368 KB |
Output is correct |
29 |
Correct |
3 ms |
1368 KB |
Output is correct |
30 |
Correct |
3 ms |
1372 KB |
Output is correct |
31 |
Correct |
7 ms |
1628 KB |
Output is correct |
32 |
Correct |
4 ms |
1628 KB |
Output is correct |
33 |
Correct |
3 ms |
1372 KB |
Output is correct |
34 |
Correct |
6 ms |
1884 KB |
Output is correct |
35 |
Correct |
4 ms |
1628 KB |
Output is correct |
36 |
Correct |
3 ms |
1372 KB |
Output is correct |
37 |
Correct |
3 ms |
1372 KB |
Output is correct |
38 |
Correct |
2 ms |
1372 KB |
Output is correct |
39 |
Correct |
315 ms |
107232 KB |
Output is correct |
40 |
Correct |
446 ms |
112304 KB |
Output is correct |
41 |
Correct |
321 ms |
106264 KB |
Output is correct |
42 |
Correct |
128 ms |
85060 KB |
Output is correct |
43 |
Correct |
440 ms |
112704 KB |
Output is correct |
44 |
Correct |
324 ms |
117696 KB |
Output is correct |
45 |
Execution timed out |
2045 ms |
194416 KB |
Time limit exceeded |
46 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
604 KB |
Output is correct |
3 |
Correct |
1 ms |
432 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
600 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
544 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
600 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
344 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
444 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
113 ms |
86180 KB |
Output is correct |
39 |
Correct |
112 ms |
86080 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
344 KB |
Output is correct |
42 |
Correct |
1 ms |
344 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
2 ms |
1372 KB |
Output is correct |
45 |
Correct |
3 ms |
1480 KB |
Output is correct |
46 |
Correct |
1 ms |
1368 KB |
Output is correct |
47 |
Correct |
2 ms |
1156 KB |
Output is correct |
48 |
Correct |
325 ms |
108008 KB |
Output is correct |
49 |
Correct |
505 ms |
116028 KB |
Output is correct |
50 |
Correct |
163 ms |
93876 KB |
Output is correct |
51 |
Correct |
109 ms |
86080 KB |
Output is correct |
52 |
Correct |
1 ms |
348 KB |
Output is correct |
53 |
Correct |
1 ms |
348 KB |
Output is correct |
54 |
Correct |
1 ms |
348 KB |
Output is correct |
55 |
Correct |
1 ms |
348 KB |
Output is correct |
56 |
Correct |
1 ms |
348 KB |
Output is correct |
57 |
Correct |
1 ms |
344 KB |
Output is correct |
58 |
Correct |
1 ms |
344 KB |
Output is correct |
59 |
Correct |
1 ms |
344 KB |
Output is correct |
60 |
Correct |
1 ms |
500 KB |
Output is correct |
61 |
Correct |
1 ms |
348 KB |
Output is correct |
62 |
Correct |
2 ms |
1116 KB |
Output is correct |
63 |
Correct |
2 ms |
856 KB |
Output is correct |
64 |
Correct |
2 ms |
1116 KB |
Output is correct |
65 |
Correct |
2 ms |
1116 KB |
Output is correct |
66 |
Correct |
271 ms |
68204 KB |
Output is correct |
67 |
Correct |
221 ms |
64428 KB |
Output is correct |
68 |
Correct |
250 ms |
65264 KB |
Output is correct |
69 |
Correct |
262 ms |
67224 KB |
Output is correct |
70 |
Correct |
1 ms |
348 KB |
Output is correct |
71 |
Correct |
1 ms |
348 KB |
Output is correct |
72 |
Correct |
2 ms |
1496 KB |
Output is correct |
73 |
Correct |
2 ms |
1372 KB |
Output is correct |
74 |
Correct |
225 ms |
109628 KB |
Output is correct |
75 |
Correct |
244 ms |
103708 KB |
Output is correct |
76 |
Correct |
1 ms |
344 KB |
Output is correct |
77 |
Correct |
1 ms |
348 KB |
Output is correct |
78 |
Correct |
1 ms |
348 KB |
Output is correct |
79 |
Correct |
1 ms |
348 KB |
Output is correct |
80 |
Correct |
1 ms |
372 KB |
Output is correct |
81 |
Correct |
1 ms |
348 KB |
Output is correct |
82 |
Correct |
1 ms |
348 KB |
Output is correct |
83 |
Correct |
1 ms |
348 KB |
Output is correct |
84 |
Correct |
1 ms |
436 KB |
Output is correct |
85 |
Correct |
1 ms |
348 KB |
Output is correct |
86 |
Correct |
1 ms |
348 KB |
Output is correct |
87 |
Correct |
2 ms |
1372 KB |
Output is correct |
88 |
Correct |
3 ms |
1368 KB |
Output is correct |
89 |
Correct |
3 ms |
1372 KB |
Output is correct |
90 |
Correct |
2 ms |
1368 KB |
Output is correct |
91 |
Correct |
3 ms |
1368 KB |
Output is correct |
92 |
Correct |
3 ms |
1372 KB |
Output is correct |
93 |
Correct |
7 ms |
1628 KB |
Output is correct |
94 |
Correct |
4 ms |
1628 KB |
Output is correct |
95 |
Correct |
3 ms |
1372 KB |
Output is correct |
96 |
Correct |
6 ms |
1884 KB |
Output is correct |
97 |
Correct |
4 ms |
1628 KB |
Output is correct |
98 |
Correct |
3 ms |
1372 KB |
Output is correct |
99 |
Correct |
3 ms |
1372 KB |
Output is correct |
100 |
Correct |
2 ms |
1372 KB |
Output is correct |
101 |
Correct |
3 ms |
1624 KB |
Output is correct |
102 |
Correct |
3 ms |
1628 KB |
Output is correct |
103 |
Correct |
6 ms |
1628 KB |
Output is correct |
104 |
Correct |
4 ms |
1628 KB |
Output is correct |
105 |
Correct |
3 ms |
1372 KB |
Output is correct |
106 |
Correct |
6 ms |
1884 KB |
Output is correct |
107 |
Correct |
5 ms |
1628 KB |
Output is correct |
108 |
Correct |
3 ms |
1372 KB |
Output is correct |
109 |
Correct |
3 ms |
1472 KB |
Output is correct |
110 |
Correct |
2 ms |
1476 KB |
Output is correct |
111 |
Correct |
315 ms |
107232 KB |
Output is correct |
112 |
Correct |
446 ms |
112304 KB |
Output is correct |
113 |
Correct |
321 ms |
106264 KB |
Output is correct |
114 |
Correct |
128 ms |
85060 KB |
Output is correct |
115 |
Correct |
440 ms |
112704 KB |
Output is correct |
116 |
Correct |
324 ms |
117696 KB |
Output is correct |
117 |
Execution timed out |
2045 ms |
194416 KB |
Time limit exceeded |
118 |
Halted |
0 ms |
0 KB |
- |