結果
| 問題 | No.2794 I Love EDPC-T |
| ユーザー |
 maroon_kuri
|
| 提出日時 | 2024-06-21 21:43:27 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 128 ms / 3,000 ms |
| コード長 | 34,733 bytes |
| コンパイル時間 | 5,575 ms |
| コンパイル使用メモリ | 280,200 KB |
| 実行使用メモリ | 59,304 KB |
| 最終ジャッジ日時 | 2024-06-21 21:43:37 |
| 合計ジャッジ時間 | 9,194 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge5 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 51 ms
44,484 KB |
| testcase_01 | AC | 52 ms
44,488 KB |
| testcase_02 | AC | 52 ms
44,612 KB |
| testcase_03 | AC | 52 ms
44,608 KB |
| testcase_04 | AC | 52 ms
44,484 KB |
| testcase_05 | AC | 51 ms
44,484 KB |
| testcase_06 | AC | 51 ms
44,484 KB |
| testcase_07 | AC | 52 ms
44,612 KB |
| testcase_08 | AC | 53 ms
44,616 KB |
| testcase_09 | AC | 52 ms
44,484 KB |
| testcase_10 | AC | 51 ms
44,360 KB |
| testcase_11 | AC | 51 ms
44,484 KB |
| testcase_12 | AC | 52 ms
44,488 KB |
| testcase_13 | AC | 70 ms
47,696 KB |
| testcase_14 | AC | 53 ms
44,852 KB |
| testcase_15 | AC | 72 ms
47,988 KB |
| testcase_16 | AC | 74 ms
47,180 KB |
| testcase_17 | AC | 72 ms
47,060 KB |
| testcase_18 | AC | 74 ms
47,364 KB |
| testcase_19 | AC | 71 ms
47,044 KB |
| testcase_20 | AC | 64 ms
47,036 KB |
| testcase_21 | AC | 111 ms
55,012 KB |
| testcase_22 | AC | 111 ms
54,256 KB |
| testcase_23 | AC | 111 ms
55,564 KB |
| testcase_24 | AC | 112 ms
55,292 KB |
| testcase_25 | AC | 112 ms
54,488 KB |
| testcase_26 | AC | 53 ms
44,864 KB |
| testcase_27 | AC | 54 ms
46,760 KB |
| testcase_28 | AC | 101 ms
59,304 KB |
| testcase_29 | AC | 85 ms
54,268 KB |
| testcase_30 | AC | 128 ms
53,048 KB |
| testcase_31 | AC | 96 ms
47,356 KB |
| testcase_32 | AC | 94 ms
47,396 KB |
| testcase_33 | AC | 116 ms
53,044 KB |
ソースコード
#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
bool dbg=false;
#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>;
using vvi=vc<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));
}
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);
}
string rand_string(int n,char lw,char up){
string s(n,'?');
rep(i,n)s[i]=rand_int(lw,up);
return s;
}
int current_run_id,run_batch_size=1000;
int calc_random_limit(){
return current_run_id/run_batch_size+1;
}
template<class t>
void generate_single(t&a){
a=rand_int(1,calc_random_limit());
}
void generate_single(string&a){
int n;generate_single(n);
a=rand_string(n,'a','b');
}
template<class t,class u>
void generate_single(pair<t,u>&a){
generate_single(a.a);
generate_single(a.b);
}
//https://trap.jp/post/1224/
template<class... Args>
void input(Args&... a){
if(dbg){
(generate_single(a),...);
}else{
(cin >> ... >> a);
}
}
#define INT(...) int __VA_ARGS__;input(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;input(__VA_ARGS__)
#define ULL(...) ull __VA_ARGS__;input(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;input(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;input(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;input(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;input(__VA_ARGS__)
#define overload3(a,b,c,d,...) d
#define VI2(name,size) vi name(size);rep(i_##name,size)input(name[i_##name]);
#define VI3(name,size,offset) vi name(size);rep(i_##name,size)input(name[i_##name]),name[i_##name]+=offset;
#define VI(...) overload3(__VA_ARGS__,VI3,VI2)(__VA_ARGS__)
#define VPI(name,size) vc<pi> name(size);rep(i_##name,size)input(name[i_##name]);
#define VVI(name,sizeN,sizeM) vvi name(sizeN,vi(sizeM));\
rep(i_##name,sizeN)rep(j_##name,sizeM)input(name[i_##name][j_##name]);
#define VS(name,size) vc<string> name(size);rep(i_##name,size)input(name[i_##name]);
#define overload5(a,b,c,d,e,f,...) f
#define VVC4(type,name,sizeN,sizeM) vvc<type> name(sizeN,vc<type>(sizeM));
#define VVC5(type,name,sizeN,sizeM,ini) vvc<type> name(sizeN,vc<type>(sizeM,ini));
#define VVC(...) overload5(__VA_ARGS__,VVC5,VVC4)(__VA_ARGS__)
template<class T>
T vvvc(T v){
return v;
}
template<class T,class...Args>
auto vvvc(int n,T v,Args...args){
return vector(n,vvvc(v,args...));
}
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){
if(dbg)cout<<endl;
else 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...);
}
template<class T>
void printvv(const vvc<T>&vs){
for(const auto&row:vs)print(row);
}
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 S> void mkuni(S&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 si(v)==s;
}
template<class t>
void myshuffle(vc<t>&a){
rep(i,si(a))swap(a[i],a[rand_int(0,i)]);
}
template<class S,class u>
int lwb(const S&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);
}
//VERIFY: yosupo
//KUPC2017J
//AOJDSL1A
//without rank
struct unionfind{
vi p,s;
int c;
unionfind(int n):p(n,-1),s(n,1),c(n){}
void clear(){
fill(all(p),-1);
fill(all(s),1);
c=si(p);
}
int find(int a){
return p[a]==-1?a:(p[a]=find(p[a]));
}
//set b to a child of a
bool unite(int a,int b){
a=find(a);
b=find(b);
if(a==b)return false;
p[b]=a;
s[a]+=s[b];
c--;
return true;
}
bool same(int a,int b){
return find(a)==find(b);
}
int sz(int a){
return s[find(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> rand_tree(int n){
vvc<int> t(n);
unionfind uf(n);
while(uf.c>1){
int a=rand_int(n);
int b=rand_int(n);
if(uf.unite(a,b)){
t[a].pb(b);
t[b].pb(a);
}
}
return t;
}
vvc<int> readTree(int n){
if(dbg){
return rand_tree(n);
}else{
return readGraph(n,n-1);
}
}
void printTree(const vvc<int> t){
int n=si(t);
int degsum=0;
rep(i,n)degsum+=si(t[i]);
if(degsum==n-1){
//directed
rep(i,si(t))for(auto j:t[i]){
print(i+1,j+1);
}
}else if(degsum==2*(n-1)){
//undirected
rep(i,si(t))for(auto j:t[i])if(i<j){
print(i+1,j+1);
}
}else{
assert(false);
}
}
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,class v>
pair<t,u>&operator*=(pair<t,u>&a,v b){
a.a*=b;a.b*=b;return a;}
template<class t,class u,class v>
pair<t,u> operator*(pair<t,u> a,v b){return a*=b;}
template<class t,class u>
pair<t,u> operator-(pair<t,u> a){return mp(-a.a,-a.b);}
namespace std{
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+=(vc<t>&a,const vc<t>&b){
a.resize(max(si(a),si(b)));
rep(i,si(b))a[i]+=b[i];
return a;
}
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>
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>
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);
}
//Multiuni2023-8 C
//f(lw)=false,...,f(n-1)=false,f(n)=true,...,f(up)=true,
//のときに n を返す
template<class F>
int find_min_true(int lw,int up,F f){
while(up-lw>1){
const int mid=(lw+up)/2;
if(f(mid))up=mid;
else lw=mid;
}
return up;
}
//f(lw)=true,f(up)=false
template<class F>
int find_max_true(int lw,int up,F f){
while(up-lw>1){
const int mid=(lw+up)/2;
if(f(mid))lw=mid;
else up=mid;
}
return lw;
}
template<class t> using pqmin=priority_queue<t,vc<t>,greater<t>>;
template<class t> using pqmax=priority_queue<t>;
using T=tuple<int,int,int>;
//mint107 は verify してねえ
//#define DYNAMIC_MOD
struct modinfo{uint mod,root;
#ifdef DYNAMIC_MOD
constexpr modinfo(uint m,uint r):mod(m),root(r),im(0){set_mod(m);}
ull im;
constexpr void set_mod(uint m){
mod=m;
im=ull(-1)/m+1;
}
uint product(uint a,uint b)const{
ull z=ull(a)*b;
uint x=((unsigned __int128)z*im)>>64;
uint v=uint(z)-x*mod;
return v<mod?v:v+mod;
}
#endif
};
template<modinfo const&ref>
struct modular{
static constexpr uint const &mod=ref.mod;
static modular root(){return modular(ref.root);}
uint v;
//modular(initializer_list<uint>ls):v(*ls.bg){}
modular(ll vv=0){s(vv%mod+mod);}
modular& s(uint vv){
v=vv<mod?vv:vv-mod;
return *this;
}
modular operator-()const{return modular()-*this;}
modular& operator+=(const modular&rhs){return s(v+rhs.v);}
modular&operator-=(const modular&rhs){return s(v+mod-rhs.v);}
modular&operator*=(const modular&rhs){
#ifndef DYNAMIC_MOD
v=ull(v)*rhs.v%mod;
#else
v=ref.product(v,rhs.v);
#endif
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{
if(n<0)return inv().pow(-n);
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);}
/*modular inv()const{
int x,y;
int g=extgcd<ll>(v,mod,x,y);
assert(g==1);
if(x<0)x+=mod;
return modular(x);
}*/
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;
}
friend ostream& operator<<(ostream&os,const modular&m){
return os<<m.v;
}
friend istream& operator>>(istream&is,modular&m){
ll x;is>>x;
m=modular(x);
return is;
}
bool operator<(const modular&r)const{return v<r.v;}
bool operator==(const modular&r)const{return v==r.v;}
bool operator!=(const modular&r)const{return v!=r.v;}
explicit operator bool()const{
return v;
}
};
#define USE_GOOD_MOD
//size of input must be a power of 2
//output of forward fmt is bit-reversed
//output elements are in the range [0,mod*4)
//input of inverse fmt should be bit-reversed
template<class mint>
void inplace_fmt(const int n,mint*const f,bool inv){
static constexpr uint mod=mint::mod;
static constexpr uint mod2=mod*2;
static constexpr int L=30;
static mint g[L],ig[L],p2[L];
if(g[0].v==0){
rep(i,L){
mint w=-mint::root().pow(((mod-1)>>(i+2))*3);
g[i]=w;
ig[i]=w.inv();
p2[i]=mint(1<<i).inv();
}
}
if(!inv){
int b=n;
if(b>>=1){//input:[0,mod)
rep(i,b){
uint x=f[i+b].v;
f[i+b].v=f[i].v+mod-x;
f[i].v+=x;
}
}
if(b>>=1){//input:[0,mod*2)
mint p=1;
for(int i=0,k=0;i<n;i+=b*2){
rng(j,i,i+b){
uint x=(f[j+b]*p).v;
f[j+b].v=f[j].v+mod-x;
f[j].v+=x;
}
p*=g[__builtin_ctz(++k)];
}
}
while(b){
if(b>>=1){//input:[0,mod*3)
mint p=1;
for(int i=0,k=0;i<n;i+=b*2){
rng(j,i,i+b){
uint x=(f[j+b]*p).v;
f[j+b].v=f[j].v+mod-x;
f[j].v+=x;
}
p*=g[__builtin_ctz(++k)];
}
}
if(b>>=1){//input:[0,mod*4)
mint p=1;
for(int i=0,k=0;i<n;i+=b*2){
rng(j,i,i+b){
uint x=(f[j+b]*p).v;
f[j].v=(f[j].v<mod2?f[j].v:f[j].v-mod2);
f[j+b].v=f[j].v+mod-x;
f[j].v+=x;
}
p*=g[__builtin_ctz(++k)];
}
}
}
}else{
int b=1;
if(b<n/2){//input:[0,mod)
mint p=1;
for(int i=0,k=0;i<n;i+=b*2){
rng(j,i,i+b){
ull x=f[j].v+mod-f[j+b].v;
f[j].v+=f[j+b].v;
f[j+b].v=x*p.v%mod;
}
p*=ig[__builtin_ctz(++k)];
}
b<<=1;
}
for(;b<n/2;b<<=1){
mint p=1;
for(int i=0,k=0;i<n;i+=b*2){
rng(j,i,i+b/2){//input:[0,mod*2)
ull x=f[j].v+mod2-f[j+b].v;
f[j].v+=f[j+b].v;
f[j].v=(f[j].v)<mod2?f[j].v:f[j].v-mod2;
f[j+b].v=x*p.v%mod;
}
rng(j,i+b/2,i+b){//input:[0,mod)
ull x=f[j].v+mod-f[j+b].v;
f[j].v+=f[j+b].v;
f[j+b].v=x*p.v%mod;
}
p*=ig[__builtin_ctz(++k)];
}
}
if(b<n){//input:[0,mod*2)
rep(i,b){
uint x=f[i+b].v;
f[i+b].v=f[i].v+mod2-x;
f[i].v+=x;
}
}
mint z=p2[__lg(n)];
rep(i,n)f[i]*=z;
}
}
template<class mint>
void inplace_fmt(vector<mint>&f,bool inv){
inplace_fmt(si(f),f.data(),inv);
}
//size of input must be a power of 2
//output elements are in the range [0,mod*4)
template<class mint>
void half_fmt(const int n,mint*const f){
static constexpr uint mod=mint::mod;
static constexpr uint mod2=mod*2;
static const int L=30;
static mint g[L],h[L];
if(g[0].v==0){
rep(i,L){
g[i]=-mint::root().pow(((mod-1)>>(i+2))*3);
h[i]=mint::root().pow((mod-1)>>(i+2));
}
}
int b=n;
int lv=0;
if(b>>=1){//input:[0,mod)
mint p=h[lv++];
for(int i=0,k=0;i<n;i+=b*2){
rng(j,i,i+b){
uint x=(f[j+b]*p).v;
f[j+b].v=f[j].v+mod-x;
f[j].v+=x;
}
p*=g[__builtin_ctz(++k)];
}
}
if(b>>=1){//input:[0,mod*2)
mint p=h[lv++];
for(int i=0,k=0;i<n;i+=b*2){
rng(j,i,i+b){
uint x=(f[j+b]*p).v;
f[j+b].v=f[j].v+mod-x;
f[j].v+=x;
}
p*=g[__builtin_ctz(++k)];
}
}
while(b){
if(b>>=1){//input:[0,mod*3)
mint p=h[lv++];
for(int i=0,k=0;i<n;i+=b*2){
rng(j,i,i+b){
uint x=(f[j+b]*p).v;
f[j+b].v=f[j].v+mod-x;
f[j].v+=x;
}
p*=g[__builtin_ctz(++k)];
}
}
if(b>>=1){//input:[0,mod*4)
mint p=h[lv++];
for(int i=0,k=0;i<n;i+=b*2){
rng(j,i,i+b){
uint x=(f[j+b]*p).v;
f[j].v=(f[j].v<mod2?f[j].v:f[j].v-mod2);
f[j+b].v=f[j].v+mod-x;
f[j].v+=x;
}
p*=g[__builtin_ctz(++k)];
}
}
}
}
template<class mint>
void half_fmt(vector<mint>&f){
half_fmt(si(f),f.data());
}
#ifdef USE_GOOD_MOD
template<class mint>
vc<mint> multiply(vc<mint> x,const vc<mint>&y,bool same=false){
int n=si(x)+si(y)-1;
int s=1;
while(s<n)s*=2;
x.resize(s);inplace_fmt(x,false);
if(!same){
static vc<mint> z;
z.clear();z.resize(s);
rep(i,si(y))z[i]=y[i];
inplace_fmt(z,false);
rep(i,s)x[i]*=z[i];
}else{
rep(i,s)x[i]*=x[i];
}
inplace_fmt(x,true);x.resize(n);
return x;
}
template<class mint>
vc<mint> multiply_givenlength(vc<mint> x,const vc<mint>&y,bool same=false){
int s=si(x);
assert(ispow2(s));
assert(si(y));
x.resize(s);inplace_fmt(x,false);
if(!same){
static vc<mint> z;
z.clear();z.resize(s);
rep(i,si(y))z[i]=y[i];
inplace_fmt(z,false);
rep(i,s)x[i]*=z[i];
}else{
rep(i,s)x[i]*=x[i];
}
inplace_fmt(x,true);
return x;
}
#else
//59501818244292734739283969-1=5.95*10^25 までの値を正しく計算
//最終的な列の大きさが 2^24 までなら動く
//最終的な列の大きさが 2^20 以下のときは，下の 3 つの素数を使ったほうが速い（は？）
//VERIFY: yosupo
//Yukicoder No980 (same=true)
namespace arbitrary_convolution{
constexpr modinfo base0{167772161,3};//2^25 * 5 + 1
constexpr modinfo base1{469762049,3};//2^26 * 7 + 1
constexpr modinfo base2{754974721,11};//2^24 * 45 + 1
//extern constexpr modinfo base0{1045430273,3};//2^20 * 997 + 1
//extern constexpr modinfo base1{1051721729,6};//2^20 * 1003 + 1
//extern constexpr modinfo base2{1053818881,7};//2^20 * 1005 + 1
using mint0=modular<base0>;
using mint1=modular<base1>;
using mint2=modular<base2>;
template<class t,class mint>
vc<t> sub(const vc<mint>&x,const vc<mint>&y,bool same=false){
int n=si(x)+si(y)-1;
int s=1;
while(s<n)s*=2;
vc<t> z(s);rep(i,si(x))z[i]=x[i].v;
inplace_fmt(z,false);
if(!same){
vc<t> w(s);rep(i,si(y))w[i]=y[i].v;
inplace_fmt(w,false);
rep(i,s)z[i]*=w[i];
}else{
rep(i,s)z[i]*=z[i];
}
inplace_fmt(z,true);z.resize(n);
return z;
}
template<class mint>
vc<mint> multiply(const vc<mint>&x,const vc<mint>&y,bool same=false){
auto d0=sub<mint0>(x,y,same);
auto d1=sub<mint1>(x,y,same);
auto d2=sub<mint2>(x,y,same);
int n=si(d0);
vc<mint> res(n);
static const mint1 r01=mint1(mint0::mod).inv();
static const mint2 r02=mint2(mint0::mod).inv();
static const mint2 r12=mint2(mint1::mod).inv();
static const mint2 r02r12=r02*r12;
static const mint w1=mint(mint0::mod);
static const mint w2=w1*mint(mint1::mod);
rep(i,n){
ull a=d0[i].v;
ull b=(d1[i].v+mint1::mod-a)*r01.v%mint1::mod;
ull c=((d2[i].v+mint2::mod-a)*r02r12.v+(mint2::mod-b)*r12.v)%mint2::mod;
res[i].v=(a+b*w1.v+c*w2.v)%mint::mod;
}
return res;
}
template<class t,class mint>
vc<t>&sub_givenlength(const vc<mint>&x,const vc<mint>&y,bool same=false){
int s=si(x);
assert(ispow2(s));
assert(si(y)==s);
static vc<t> z;
z.clear();z.resize(s);
rep(i,si(x))z[i]=x[i].v;
inplace_fmt(z,false);
if(!same){
static vc<t> w;
w.clear();w.resize(s);
rep(i,si(y))w[i]=y[i].v;
inplace_fmt(w,false);
rep(i,s)z[i]*=w[i];
}else{
rep(i,s)z[i]*=z[i];
}
inplace_fmt(z,true);
return z;
}
template<class mint>
vc<mint> multiply_givenlength(vc<mint> x,const vc<mint>&y,bool same=false){
auto&d0=sub_givenlength<mint0>(x,y,same);
auto&d1=sub_givenlength<mint1>(x,y,same);
auto&d2=sub_givenlength<mint2>(x,y,same);
int n=si(d0);
x.resize(n);
static const mint1 r01=mint1(mint0::mod).inv();
static const mint2 r02=mint2(mint0::mod).inv();
static const mint2 r12=mint2(mint1::mod).inv();
static const mint2 r02r12=r02*r12;
static const mint w1=mint(mint0::mod);
static const mint w2=w1*mint(mint1::mod);
rep(i,n){
ull a=d0[i].v;
ull b=(d1[i].v+mint1::mod-a)*r01.v%mint1::mod;
ull c=((d2[i].v+mint2::mod-a)*r02r12.v+(mint2::mod-b)*r12.v)%mint2::mod;
x[i].v=(a+b*w1.v+c*w2.v)%mint::mod;
}
return x;
}
}
using arbitrary_convolution::multiply;
using arbitrary_convolution::multiply_givenlength;
#endif
//UTPC2021 C
namespace integer_convolution{
extern constexpr modinfo base0{1045430273,3};//2^20 * 997 + 1
extern constexpr modinfo base1{1051721729,6};//2^20 * 1003 + 1
//extern constexpr modinfo base0{469762049,3};//2^26 * 7 + 1
//extern constexpr modinfo base1{754974721,11};//2^24 * 45 + 1
using mint0=modular<base0>;
using mint1=modular<base1>;
template<class t>
vc<t> sub(const vi&x,const vi&y,bool same=false){
int n=si(x)+si(y)-1;
int s=1;
while(s<n)s*=2;
vc<t> z(s);rep(i,si(x))z[i]=x[i];
inplace_fmt(z,false);
if(!same){
vc<t> w(s);rep(i,si(y))w[i]=y[i];
inplace_fmt(w,false);
rep(i,s)z[i]*=w[i];
}else{
rep(i,s)z[i]*=z[i];
}
inplace_fmt(z,true);z.resize(n);
return z;
}
vi multiply(const vi&x,const vi&y,bool same=false){
auto d0=sub<mint0>(x,y,same);
auto d1=sub<mint1>(x,y,same);
const mint1 r=mint1(mint0::mod).inv();
const ll v=ll(mint0::mod)*mint1::mod;
int n=si(d0);
vi res(n);
rep(i,n){
res[i]=d0[i].v+(r*(d1[i]-d0[i].v)).v*(ull)mint0::mod;
if(res[i]>v/2)res[i]-=v;
}
return res;
}
}
//最大で 1<<mx のサイズの fft が登場！
template<class mint>
vc<mint> large_convolution(const vc<mint>&a,const vc<mint>&b,int mx){
int n=si(a),m=si(b);
vc<mint> c(n+m-1);
int len=1<<(mx-1);
for(int i=0;i<n;i+=len){
for(int j=0;j<n;j+=len){
int x=min(len,n-i),y=min(len,m-j);
auto d=multiply(vc<mint>(a.bg+i,a.bg+i+x),vc<mint>(b.bg+j,b.bg+j+y));
rep(k,si(d))
c[i+j+k]+=d[k];
}
}
return c;
}
//input A: N 次,B ?,M
//output D: M 次多項式
//C を M 次多項式として
//[x^N] A*B*C = [x^M] D*C
//となるような D を返す
//CF796F
template<class mint>
vc<mint> transpose_advance(const vc<mint>&a,const vc<mint>&b,int m){
int n=si(a)-1;
auto d=multiply(a,b);
vc<mint> res(m+1);
if(n>=m){
rep(i,m+1)res[i]=d[i+n-m];
}else{
rng(i,m-n,m+1)res[i]=d[i+n-m];
}
return res;
}
//Yukicoder 2166
template<class mint>
void chmult(vc<mint>&x,const vc<mint>&y,int s){
x=multiply(move(x),y);
x.resize(s);
}
#ifndef DYNAMIC_MOD
extern constexpr modinfo base{998244353,3};
//extern constexpr modinfo base{1000000007,0};
//extern constexpr modinfo base{2147483579,1689685080};//2^31 未満の最大の安全素数
//modinfo base{1,0};
#ifdef USE_GOOD_MOD
static_assert(base.mod==998244353);
#endif
#else
modinfo base(1,0);
extern constexpr modinfo base107(1000000007,0);
using mint107=modular<base107>;
#endif
using mint=modular<base>;
mint parity(int i){
return i%2==0?1:-1;
}
#ifdef LOCAL
const int vmax=10010;
#else
const int vmax=(1<<21)+10;
#endif
mint fact[vmax],finv[vmax],invs[vmax];
void initfact(){
const int s=min<int>(vmax,base.mod);
fact[0]=1;
rng(i,1,s){
fact[i]=fact[i-1]*i;
}
finv[s-1]=fact[s-1].inv();
for(int i=s-2;i>=0;i--){
finv[i]=finv[i+1]*(i+1);
}
for(int i=s-1;i>=1;i--){
invs[i]=finv[i]*fact[i-1];
}
}
mint choose(int n,int k){
return inc(0,k,n)?fact[n]*finv[n-k]*finv[k]:0;
}
mint binom(int a,int b){
return 0<=a&&0<=b?fact[a+b]*finv[a]*finv[b]:0;
}
mint catalan(int n){
return binom(n,n)-(n-1>=0?binom(n-1,n+1):0);
}
//対角線を超えず (x,y) に至る方法の数
mint catalan(int x,int y){
assert(y<=x);
return binom(x,y)-binom(x+1,y-1);
}
//y=x+c を超えず (x,y) に至る方法の数
mint catalan(int x,int y,int c){
assert(y<=x+c);
return binom(x,y)-binom(x+c+1,y-c-1);
}
/*
const int vmax=610;
mint fact[vmax+1],binbuf[vmax+1][vmax+1];
mint choose(int n,int k){
return 0<=k&&k<=n?binbuf[n-k][k]:0;
}
mint binom(int a,int b){
return 0<=a&&0<=b?binbuf[a][b]:0;
}
void initfact(int n){
fact[0]=1;
rep(i,n)fact[i+1]=fact[i]*(i+1);
rep(i,n+1)rep(j,n+1){
if(i==0&&j==0){
binbuf[i][j]=1;
}else{
binbuf[i][j]=0;
if(i)binbuf[i][j]+=binbuf[i-1][j];
if(j)binbuf[i][j]+=binbuf[i][j-1];
}
}
}
*/
mint p2[vmax],p2inv[vmax];
void initp2(){
p2[0]=1;
rep(i,vmax-1)p2[i+1]=p2[i]*2;
p2inv[vmax-1]=p2[vmax-1].inv();
per(i,vmax-1)p2inv[i]=p2inv[i+1]*2;
}
int m2i(mint a){
uint v=a.v;
return v<mint::mod/2?v:int(v)-int(mint::mod);
}
//FFT の結果をキャッシュして持っておく
//rw に生データ，buf に fft 後のデータ
//どちらかが空でもよい
//si(buf) は 0 or si(rw) 以上の 2 冪
//Codechef 2021 January Lunchtime EXPGROUP
//yosupo product of polynomial sequence
//Yukicoder 2166
//メモリ食いまくり
//ABC278H
//Osijek Day6 A
//Yukicoder 2575 (a<b<c の畳込みがほしいときはここへ)
struct F{
int n;
vc<mint> rw,buf;
F():n(0){}
F(const vc<mint>&given):rw(given){
n=si(rw);
assert(n>0);
}
F(initializer_list<mint> init):rw(all(init)){
n=si(rw);
assert(n>0);
}
int size()const{return n;}
bool empty()const{return n==0;}
void assume_have(){
if(rw.empty()){
int s=minp2(n);
assert(si(buf)>=s);
rw.resize(s);
rep(i,s)rw[i]=buf[i].v;
inplace_fmt(rw,true);
rw.resize(n);
}
assert(si(rw)==n);
}
vc<mint> getrw(){
if(n==0)return {};
assume_have();
return rw;
}
void prepare(int len){
if(si(buf)<len)assume_have();
if(buf.empty()){
int s=minp2(n);
buf.resize(s);
rep(i,n)buf[i]=rw[i];
inplace_fmt(buf,false);
}
while(si(buf)<len){
int s=si(buf);
buf.resize(s*2);
rep(i,n)buf[s+i]=rw[i];
half_fmt(s,buf.data()+s);
}
}
void copy_from(F&a){
n=a.n;
rw=a.rw;
if(si(a.buf)){
int s=minp2(n);
buf.resize(s);
rep(i,s)buf[i]=a.buf[i];
}else buf.clear();
}
void init_from_sum(F&a,F&b){
if(a.empty())return copy_from(b);
if(b.empty())return copy_from(a);
n=max(a.n,b.n);
if(si(a.rw)&&si(b.rw)){
rw.resize(n);
rep(i,n){
rw[i]=0;
if(i<a.n)rw[i]+=a.rw[i];
if(i<b.n)rw[i]+=b.rw[i];
}
}else rw.clear();
int s=minp2(n);
if(si(a.buf)>=s&&si(b.buf)>=s){
buf.resize(s);
rep(i,s)buf[i]=mint(a.buf[i].v)+mint(b.buf[i].v);
}else buf.clear();
if(rw.empty()&&buf.empty()){
/*
a.prepare(n);
b.prepare(n);
buf.resize(s);
rep(i,s)buf[i]=mint(a.buf[i].v)+mint(b.buf[i].v);
*/
//こっちのほうが微小にメモリが少なくなる?
a.assume_have();
b.assume_have();
rw.assign(n,0);
rep(i,a.n)rw[i]+=a.rw[i];
rep(i,b.n)rw[i]+=b.rw[i];
}
}
//Osijek Day6 A (n=0,middle=true)
void init_from_product(F&a,F&b,bool middle=false){
if(a.n==0||b.n==0){
n=0;
rw.clear();
buf.clear();
return;
}
assert(a.n>0);
assert(b.n>0);
if(middle){
assert(a.n>=b.n);
n=a.n;
}else{
n=a.n+b.n-1;
}
rw.clear();
int s=minp2(n);
a.prepare(n);
b.prepare(n);
buf.resize(s);
rep(i,s)buf[i]=a.buf[i]*b.buf[i];
}
F operator*(F&b){
F res;
res.init_from_product(*this,b);
return res;
}
F operator*(F&&b){
F res;
res.init_from_product(*this,b);
return res;
}
F operator+(F&b){
F res;
res.init_from_sum(*this,b);
return res;
}
F operator+(F&&b){
F res;
res.init_from_sum(*this,b);
return res;
}
F& operator*=(F&b){
return *this=(*this)*b;
}
F& operator+=(F&b){
return *this=(*this)+b;
}
F& operator+=(F&&b){
return *this=(*this)+b;
}
void freememory(){
n=0;
vc<mint>().swap(rw);
vc<mint>().swap(buf);
}
//middle product の情報をつくる
//a,b,c が x の関数だとする
//ans+=[x^deg(a)] abc だとしよう
//ab の係数上位 deg(c)+1 項を d とおけば
//ans+=[x^deg(d)] dc とできるので，この d を求めよう
//単にサイズを広げない prod をするだけ
//deg(a)>=deg(b)+deg(c) でないと破綻する
F middle(F&b){
F res;
res.init_from_product(*this,b,true);
return res;
}
//middle product の情報が buf に入っているとする
//サイズ s に縮める
//[n-s,n) が重要で，それ以外のパートにはゴミが入っているかもしれない
//Osijek Day6 A
void middle_shrink(int s){
if(empty())return;
assert(s<=n);
if(s<n){
assume_have();
rep(i,s)rw[i]=rw[n-s+i];
rw.resize(n=s);
buf.clear();
}
}
//転置原理+分割統治と組み合わせるといい感じ
//ありがちなパターン
//for i=0,1,...: ans[i]=[x^(n-1)]v; v=m_i*v
//m_i が（高々）一次なら，dfs(l,r) では v[k].middle_shrink(r-l)
//m_i の要素の次数はバラバラでも大丈夫
//空の prod で空が返るようにしてあるので m_i に空を入れてもいい
//行列とかで戻していくとき，middle 側は空or全部同じ次数という形にしておく
};
vc<mint> all_product(const vvc<mint>&ls){
if(ls.empty())return {1};
vc<F> fs(all(ls));
const auto cmp=[&](const F&a,const F&b)->bool{
return a.n>b.n;
};
make_heap(all(fs),cmp);
int n=si(fs);
while(n>=2){
pop_heap(fs.bg,fs.bg+n,cmp);
pop_heap(fs.bg,fs.bg+n-1,cmp);
fs[n-2]*=fs[n-1];
push_heap(fs.bg,fs.bg+n-1,cmp);
fs.pop_back();
n--;
}
return fs[0].getrw();
}
vc<mint> sub(int w){
vc<mint> res(w/2+1);
rep(i,w/2+1){
res[i]=choose(w-i,i)*parity(i);
}
return res;
}
void slv(){
INT(n);
STR(s);
if(s==string(n-1,'>'))return print(0);
vi pos;
pos.pb(-2);
rep(i,n-1)if(s[i]=='<')pos.pb(i);
pos.pb(n);
vvc<mint> buf;
rep(i,si(pos)-1){
int w=pos[i+1]-pos[i]-2;
if(w<0)return print(0);
buf.pb(sub(w));
}
auto f=all_product(buf);
int off=count(all(s),'<');
mint ans=0;
rep(i,si(f)){
int len=n-(off+i);
assert(len>=0);
ans+=f[i]*catalan(len);
}
return print(ans);
}
signed main(signed argc,char*argv[]){
if(argc>1&&strcmp(argv[1],"D")==0)dbg=true;
cin.tie(0);
ios::sync_with_stdio(0);
cout<<fixed<<setprecision(20);
initfact();
if(dbg){
while(1){
if(current_run_id%run_batch_size==0){
cerr<<"Current Run "<<current_run_id<<endl;
}
slv();
current_run_id++;
}
}else{
//int t;cin>>t;rep(_,t)
slv();
}
}