結果
問題 | No.1241 Eternal Tours |
ユーザー | maroon_kuri |
提出日時 | 2020-09-25 22:28:34 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 235 ms / 6,000 ms |
コード長 | 15,457 bytes |
コンパイル時間 | 3,071 ms |
コンパイル使用メモリ | 230,912 KB |
実行使用メモリ | 41,196 KB |
最終ジャッジ日時 | 2024-06-28 06:52:44 |
合計ジャッジ時間 | 8,301 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge1 |
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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 | 10 ms
28,032 KB |
testcase_01 | AC | 9 ms
28,032 KB |
testcase_02 | AC | 103 ms
40,064 KB |
testcase_03 | AC | 10 ms
27,904 KB |
testcase_04 | AC | 10 ms
28,104 KB |
testcase_05 | AC | 10 ms
27,904 KB |
testcase_06 | AC | 10 ms
28,032 KB |
testcase_07 | AC | 9 ms
28,032 KB |
testcase_08 | AC | 9 ms
28,032 KB |
testcase_09 | AC | 9 ms
28,032 KB |
testcase_10 | AC | 10 ms
27,904 KB |
testcase_11 | AC | 10 ms
27,972 KB |
testcase_12 | AC | 9 ms
27,976 KB |
testcase_13 | AC | 10 ms
27,972 KB |
testcase_14 | AC | 114 ms
33,984 KB |
testcase_15 | AC | 10 ms
27,904 KB |
testcase_16 | AC | 31 ms
29,376 KB |
testcase_17 | AC | 206 ms
41,196 KB |
testcase_18 | AC | 199 ms
40,064 KB |
testcase_19 | AC | 204 ms
40,064 KB |
testcase_20 | AC | 10 ms
28,100 KB |
testcase_21 | AC | 12 ms
28,100 KB |
testcase_22 | AC | 207 ms
40,680 KB |
testcase_23 | AC | 15 ms
28,228 KB |
testcase_24 | AC | 10 ms
27,904 KB |
testcase_25 | AC | 10 ms
27,904 KB |
testcase_26 | AC | 10 ms
28,100 KB |
testcase_27 | AC | 10 ms
27,904 KB |
testcase_28 | AC | 91 ms
40,056 KB |
testcase_29 | AC | 92 ms
40,064 KB |
testcase_30 | AC | 107 ms
40,192 KB |
testcase_31 | AC | 62 ms
33,920 KB |
testcase_32 | AC | 203 ms
41,128 KB |
testcase_33 | AC | 215 ms
40,064 KB |
testcase_34 | AC | 217 ms
40,088 KB |
testcase_35 | AC | 208 ms
40,132 KB |
testcase_36 | AC | 10 ms
27,972 KB |
testcase_37 | AC | 10 ms
27,904 KB |
testcase_38 | AC | 216 ms
40,172 KB |
testcase_39 | AC | 212 ms
40,064 KB |
testcase_40 | AC | 221 ms
40,064 KB |
testcase_41 | AC | 216 ms
41,156 KB |
testcase_42 | AC | 218 ms
40,148 KB |
testcase_43 | AC | 235 ms
40,064 KB |
ソースコード
#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> void chmax(t&a,u b){if(a<b)a=b;} template<class t,class u> void chmin(t&a,u b){if(b<a)a=b;} 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<<"}"; } template<class t> void print(t x,int suc=1){ cout<<x; if(suc==1) cout<<"\n"; if(suc==2) cout<<" "; } 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(const vector<T>&v,int suc=1){ rep(i,v.size()) print(v[i],i==int(v.size())-1?suc:2); } string readString(){ string s; cin>>s; return s; } template<class T> T sq(const T& t){ return t*t; } //#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 botbit(signed a){ return a==0?32:__builtin_ctz(a); } int botbit(ll a){ return a==0?64:__builtin_ctzll(a); } int popcount(signed t){ return __builtin_popcount(t); } int popcount(ll t){ return __builtin_popcountll(t); } bool ispow2(int i){ return i&&(i&-i)==i; } ll mask(int i){ return (ll(1)<<i)-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); } 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); } template<class t> void myshuffle(vc<t>&a){ rep(i,si(a))swap(a[i],a[rand_int(0,i)]); } template<class t> int lwb(const vc<t>&v,const t&a){ return lower_bound(all(v),a)-v.bg; } 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); } struct modinfo{uint mod,root;}; 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){ v=ull(v)*rhs.v%mod; 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(int 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);} /*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+(int x,const modular&y){ return modular(x)+y; } friend modular operator-(int x,const modular&y){ return modular(x)-y; } friend modular operator*(int x,const modular&y){ return modular(x)*y; } friend modular operator/(int 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; } }; extern constexpr modinfo base{998244353,3}; //extern constexpr modinfo base{1000000007,0}; //modinfo base{1,0}; using mint=modular<base>; const int vmax=(1<<21)+10; mint fact[vmax],finv[vmax],invs[vmax]; void initfact(){ fact[0]=1; rng(i,1,vmax){ fact[i]=fact[i-1]*i; } finv[vmax-1]=fact[vmax-1].inv(); for(int i=vmax-2;i>=0;i--){ finv[i]=finv[i+1]*(i+1); } for(int i=vmax-1;i>=1;i--){ invs[i]=finv[i]*fact[i-1]; } } mint choose(int n,int k){ return fact[n]*finv[n-k]*finv[k]; } mint binom(int a,int b){ return fact[a+b]*finv[a]*finv[b]; } mint catalan(int n){ return binom(n,n)-(n-1>=0?binom(n-1,n+1):0); } /* const int vmax=110; mint binbuf[vmax][vmax]; mint choose(int n,int k){ return binbuf[n-k][k]; } mint binom(int a,int b){ return binbuf[a][b]; } void initfact(){ binbuf[0][0]=1; rep(i,vmax)rep(j,vmax){ if(i)binbuf[i][j]+=binbuf[i-1][j]; if(j)binbuf[i][j]+=binbuf[i][j-1]; } } */ #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 const 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); } 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){ vc<mint> z(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; } #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; } } using arbitrary_convolution::multiply; #endif namespace integer_convolution{ extern constexpr modinfo base0{1045430273,3};//2^20 * 997 + 1 extern constexpr modinfo base1{1051721729,6};//2^20 * 1003 + 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(); 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; } 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; } //[0-m-1],[m,2*m-1]...[nm-m,nm-1] vc<mint> fmt_2d(vc<mint> f,int n,int m,bool inv){ rep(i,n)inplace_fmt(m,&f[i*m],inv); rep(j,m){ vc<mint> tmp(n); rep(i,n)tmp[i]=mint(f[i*m+j].v); inplace_fmt(tmp,inv); rep(i,n)f[i*m+j]=mint(tmp[i].v); } return f; } signed main(){ cin.tie(0); ios::sync_with_stdio(0); cout<<fixed<<setprecision(20); int x,y,t,a,b,c,d;cin>>x>>y>>t>>a>>b>>c>>d; a--;b--;c--;d--; int n=1<<x,m=1<<y; vc<mint> f(n*2*m*2); auto idx=[&](int i,int j){ return i*m*2+j; }; f[idx(0,0)]+=1; f[idx(1,0)]+=1; f[idx(0,1)]+=1; f[idx(n*2-1,0)]+=1; f[idx(0,m*2-1)]+=1; auto g=fmt_2d(f,n*2,m*2,false); rep(i,n*2*m*2)g[i]=g[i].pow(t%(mint::mod-1)); auto h=fmt_2d(g,n*2,m*2,true); dmp(h); rep(i,2*n){ dmp(vc<mint>(h.begin()+i*2*m,h.begin()+(i+1)*2*m)); } mint ans=0; rep(_,2){ rep($,2){ dmp2(c,d); int dx=(c-a+2*n)%(2*n); int dy=(d-b+2*m)%(2*m); dmp2(dx,dy); ans+=h[idx(dx,dy)]*((_^$)?-1:1); d=2*(m-1)-d; } c=2*(n-1)-c; } cout<<ans<<endl; }