結果
問題 | No.2272 多項式乗算 mod 258280327 |
ユーザー | eQe |
提出日時 | 2023-04-14 23:25:49 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 229 ms / 2,000 ms |
コード長 | 25,134 bytes |
コンパイル時間 | 11,127 ms |
コンパイル使用メモリ | 351,284 KB |
実行使用メモリ | 44,252 KB |
最終ジャッジ日時 | 2024-11-15 04:06:44 |
合計ジャッジ時間 | 14,504 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge2 |
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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 | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,248 KB |
testcase_02 | AC | 2 ms
5,248 KB |
testcase_03 | AC | 2 ms
5,248 KB |
testcase_04 | AC | 2 ms
5,248 KB |
testcase_05 | AC | 2 ms
5,248 KB |
testcase_06 | AC | 2 ms
5,248 KB |
testcase_07 | AC | 2 ms
5,248 KB |
testcase_08 | AC | 3 ms
5,248 KB |
testcase_09 | AC | 2 ms
5,248 KB |
testcase_10 | AC | 2 ms
5,248 KB |
testcase_11 | AC | 2 ms
5,248 KB |
testcase_12 | AC | 2 ms
5,248 KB |
testcase_13 | AC | 2 ms
5,248 KB |
testcase_14 | AC | 2 ms
5,248 KB |
testcase_15 | AC | 2 ms
5,248 KB |
testcase_16 | AC | 2 ms
5,248 KB |
testcase_17 | AC | 2 ms
5,248 KB |
testcase_18 | AC | 2 ms
5,248 KB |
testcase_19 | AC | 2 ms
5,248 KB |
testcase_20 | AC | 2 ms
5,248 KB |
testcase_21 | AC | 2 ms
5,248 KB |
testcase_22 | AC | 2 ms
5,248 KB |
testcase_23 | AC | 2 ms
5,248 KB |
testcase_24 | AC | 4 ms
5,248 KB |
testcase_25 | AC | 13 ms
6,144 KB |
testcase_26 | AC | 12 ms
6,016 KB |
testcase_27 | AC | 26 ms
8,792 KB |
testcase_28 | AC | 25 ms
8,652 KB |
testcase_29 | AC | 110 ms
23,428 KB |
testcase_30 | AC | 229 ms
44,240 KB |
testcase_31 | AC | 204 ms
44,240 KB |
testcase_32 | AC | 214 ms
44,252 KB |
ソースコード
#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include<atcoder/all> #include<bits/stdc++.h> #define bgn(a) begin(a) #define rbg(a) rbegin(a) #define fin(...) exit(pp(__VA_ARGS__)) #define done(...) rr vo(pp(__VA_ARGS__)) #define ep(...) emplace(__VA_ARGS__) #define eb(...) emplace_back(__VA_ARGS__) #define iif if #define ef(...) else if(__VA_ARGS__) #define el else #define wh(...) while(__VA_ARGS__) #define lb(...) lower_bound(__VA_ARGS__) #define ub(...) upper_bound(__VA_ARGS__) #define srt(...) sort(al(__VA_ARGS__)) #define rv(...) reverse(al(__VA_ARGS__)) #define rsr(a) srt(a),rv(a) #define uq(a) srt(a),a.erase(unique(al(a)),end(a)) #define sw(a,b) swap(a,b) #define rs(...) resize(__VA_ARGS__) #define ov3(a,b,c,d,...) d #define ov4(a,b,c,d,e,...) e #define ov5(a,b,c,d,e,f,...) f #define ov6(a,b,c,d,e,f,g,...) g #define al1(v) bgn(v),end(v) #define al2(v,b) bgn(v),bgn(v)+b #define al3(v,a,b) bgn(v)+a,bgn(v)+b #define al(...) ov3(__VA_ARGS__,al3,al2,al1)(__VA_ARGS__) #define fo1(b) for(ll ii=0;ii<(ll)(b);ii++) #define fo2(i,b) for(ll i=0;i<(ll)(b);i++) #define fo3(i,a,b) for(ll i=(ll)(a);i<(ll)(b);i++) #define fo4(i,a,b,c) for(ll i=(ll)(a);i<(ll)(b);i+=(ll)(c)) #define fo(...) ov4(__VA_ARGS__,fo4,fo3,fo2,fo1)(__VA_ARGS__) #define of2(i,a) for(ll i=(ll)(a)-1;i>=0;i--) #define of3(i,a,b) for(ll i=(ll)(a)-1;i>=(ll)(b);i--) #define of4(i,a,b,c) for(ll i=(ll)(a)-1;i>=(ll)(b);i-=(ll)(c)) #define of(...) ov4(__VA_ARGS__,of4,of3,of2)(__VA_ARGS__) #define fe2(a,v) for(au&&a:v) #define fe3(a,b,v) for(au&&[a,b]:v) #define fe4(a,b,c,v) for(au&&[a,b,c]:v) #define fe5(a,b,c,d,v) for(au&&[a,b,c,d]:v) #define fe(...) ov5(__VA_ARGS__,fe5,fe4,fe3,fe2)(__VA_ARGS__) #define LL(...) ll __VA_ARGS__;li(__VA_ARGS__) #define DD(...) dd __VA_ARGS__;li(__VA_ARGS__) #define CH(...) char __VA_ARGS__;li(__VA_ARGS__) #define ST(...) str __VA_ARGS__;li(__VA_ARGS__) #define ML(...) ml __VA_ARGS__;li(__VA_ARGS__) #define UL2(n,a) u1 a(n);li(a) #define UL3(n,a,b) u1 a(n),b(n);li(a,b) #define UL4(n,a,b,c) u1 a(n),b(n),c(n);li(a,b,c) #define UL5(n,a,b,c,d) u1 a(n),b(n),c(n),d(n);li(a,b,c,d) #define UL6(n,a,b,c,d,e) u1 a(n),b(n),c(n),d(n),e(n);li(a,b,c,d,e) #define UL(...) ov6(__VA_ARGS__,UL6,UL5,UL4,UL3,UL2)(__VA_ARGS__) #define UV3(n,a,b) u1 a(n),b(n);vi(a,b) #define UV4(n,a,b,c) u1 a(n),b(n),c(n);vi(a,b,c) #define UV5(n,a,b,c,d) u1 a(n),b(n),c(n),d(n);vi(a,b,c,d) #define UV6(n,a,b,c,d,e) u1 a(n),b(n),c(n),d(n),e(n);vi(a,b,c,d,e) #define UV(...) ov6(__VA_ARGS__,UV6,UV5,UV4,UV3)(__VA_ARGS__) #define U23(h,w,a) u2 a(h,w);li(a) #define U24(h,w,a,b) u2 a(h,w),b(h,w);li(a,b) #define U25(h,w,a,b,c) u2 a(h,w),b(h,w),c(h,w);li(a,b,c) #define U2(...) ov5(__VA_ARGS__,U25,U24,U23)(__VA_ARGS__) #define S22(h,a) strs a(h);li(a) #define S23(h,a,b) strs a(h),b(h);li(a,b) #define S2(...) ov3(__VA_ARGS__,S23,S22)(__VA_ARGS__) #define I template #define J typename #define O operator #define rr return #define ss struct #define uu using #define au auto #define bk break #define cs const #define ct continue #define th this #define endl "\n" namespace atcoder{} namespace my{void main();void solve();} int main(){my::main();} namespace my{ uu namespace std; uu namespace atcoder; uu vo=void; uu bo=bool; uu is=istream; uu os=ostream; uu i128=__int128_t; uu ll=long long; uu dd=long double; uu ul=unsigned long long; i128 inv(i128 a,i128 m); i128 pow(i128 x,i128 n,i128 m); I<ll m>ss modint{ ll x; modint(ll x=0):x((x%m+m)%m){} ll val()cs{rr x;} modint O-()cs{rr modint(-x);} modint&O++(){x++;if(x==m)x=0;rr*th;} modint&O--(){if(x==0)x=m;x--;rr*th;} modint O++(int){modint r=*th;++*th;rr r;} modint O--(int){modint r=*th;--*th;rr r;} modint&O+=(cs modint&a){if((x+=a.x)>=m)x-=m;rr*th;} modint&O-=(cs modint&a){if((x+=m-a.x)>=m)x-=m;rr*th;} modint&O*=(cs modint&a){(x*=a.x)%=m;rr*th;} modint&O/=(cs modint&a){rr*th*=a.inv();} modint O+(cs modint&a)cs{rr modint(*th)+=a;} modint O-(cs modint&a)cs{rr modint(*th)-=a;} modint O*(cs modint&a)cs{rr modint(*th)*=a;} modint O/(cs modint&a)cs{rr modint(*th)/=a;} bool O==(cs modint&a)cs{rr val()==a.val();} bool O!=(cs modint&a)cs{rr !(*th==a);} modint pow(ll n)cs{rr my::pow(x,n,m);} modint inv()cs{rr my::inv(x,m);} static ll mod(){rr m;} }; uu ml=modint<258280327>; //uu ml=modint<1000000007>; is&O>>(is&i,ml&x){ll t;i>>t;x=t;rr i;} os&O<<(os&o,cs ml&x){rr o<<x.val();} I<J T>uu v1=vector<T>; I<J T>ss v2:v1<v1<T>>{uu v1<v1<T>>::v1;v2(ll a,ll b,T x=T{}){th->rs(a,v1<T>(b,x));}}; I<J T>ss v3:v1<v2<T>>{uu v1<v2<T>>::v1;v3(ll a,ll b,ll c,T x=T{}){th->rs(a,v2<T>(b,c,x));}}; I<J T>ss v4:v1<v3<T>>{uu v1<v3<T>>::v1;v4(ll a,ll b,ll c,ll d,T x=T{}){th->rs(a,v3<T>(b,c,d,x));}}; I<J T>ss v5:v1<v4<T>>{uu v1<v4<T>>::v1;v5(ll a,ll b,ll c,ll d,ll e,T x=T{}){th->rs(a,v4<T>(b,c,d,e,x));}}; uu u1=v1<ll>;uu u2=v2<ll>;uu u3=v3<ll>;uu u4=v4<ll>; uu m1=v1<ml>;uu m2=v2<ml>;uu m3=v3<ml>;uu m4=v4<ml>;uu m5=v5<ml>; uu str=string;uu strs=v1<str>; str sp{" "},nc{""},nl{"\n"}; I<J A,J B=A>ss cp{ A a;B b; cp():a(A{}),b(B{}){} cp(A a,B b):a(a),b(b){} cp O-()cs{rr cp(-a,-b);} cp&O++(){a++,b++;rr*th;}cp O++(int){cp r=*th;++*th;rr r;} cp&O--(){a--,b--;rr*th;}cp O--(int){cp r=*th;--*th;rr r;} cp&O+=(cs cp&c){a+=c.a,b+=c.b;rr*th;}cp O+(cs cp&c)cs{rr cp{*th}+=c;} cp&O-=(cs cp&c){a-=c.a,b-=c.b;rr*th;}cp O-(cs cp&c)cs{rr cp{*th}-=c;} I<J T>cp&O+=(cs T&x){a+=x,b+=x;rr*th;}I<J T>cp O+(cs T&x)cs{rr cp{*th}+=x;} I<J T>cp&O-=(cs T&x){a-=x;b-=x;rr*th;}I<J T>cp O-(cs T&x)cs{rr cp{*th}-=x;} I<J T>cp&O*=(cs T&x){a*=x;b*=x;rr*th;}I<J T>cp O*(cs T&x)cs{rr cp{*th}*=x;} au abs()cs{rr std::abs(a)+std::abs(b);}//manhattan au abs(cs cp&c)cs{rr(*th-c).abs();} bo O==(cs cp&c)cs{rr a==c.a&&b==c.b;}bo O!=(cs cp&c)cs{rr!(*th==c);} bo O<(cs cp&c)cs{rr a!=c.a?a<c.a:b<c.b;} bo O>(cs cp&c)cs{rr a!=c.a?a>c.a:b>c.b;} friend is&O>>(is&i,cp&c){rr i>>c.a>>c.b;} friend os&O<<(os&o,cs cp&c){rr o<<c.a<<sp<<c.b;} }; I<J A,J B=A,J C=A>ss tr{ A a;B b;C c; tr():a(A{}),b(B{}),c(C{}){} tr(A a,B b,C c):a(a),b(b),c(c){} bo O==(cs tr&t)cs{rr a==t.a&&b==t.b&&c==t.c;} bo O<(cs tr&t)cs{rr a!=t.a?a<t.a:b!=t.b?b<t.b:c<t.c;} bo O>(cs tr&t)cs{rr a!=t.a?a>t.a:b!=t.b?b>t.b:c>t.c;} friend is&O>>(is&i,tr&t){rr i>>t.a>>t.b>>t.c;} friend os&O<<(os&o,cs tr&t){rr o<<t.a<<sp<<t.b<<sp<<t.c;} }; I<J A,J B=A,J C=A,J D=A>ss qu{ A a;B b;C c;D d; qu():a(A{}),b(B{}),c(C{}),d(D{}){} qu(A a,B b,C c,D d):a(a),b(b),c(c),d(d){} bo O==(cs qu&q)cs{rr a==q.a&&b==q.b&&c==q.c&&d==q.d;} bo O<(cs qu&q)cs{rr a!=q.a?a<q.a:b!=q.b?b<q.b:c!=q.c?c<q.c:d<q.d;} bo O>(cs qu&q)cs{rr a!=q.a?a>q.a:b!=q.b?b>q.b:c!=q.c?c>q.c:d>q.d;} friend os&O<<(os&o,cs qu&q){rr o<<q.a<<sp<<q.b<<sp<<q.c<<sp<<q.d;} }; uu cl=cp<ll>;uu cls=v1<cl>;uu tl=tr<ll>;uu tls=v1<tl>;uu ql=qu<ll>;uu qls=v1<ql>; I<J T>uu fn=function<T>; I<J T>uu qmax=priority_queue<T>; I<J T>uu qmin=priority_queue<T,v1<T>,greater<T>>; uu mp=map<ll,ll>;uu ump=unordered_map<ll,ll>; I<J T>ss set:std::set<T>{set(){}set(cs v1<T>&a){fe(e,a)th->ep(e);}}; I<J T>ss unordered_set:std::unordered_set<T>{unordered_set(){}unordered_set(cs v1<T>&a){fe(e,a)th->ep(e);}}; I<J T>ss multiset:std::multiset<T>{multiset(){}multiset(cs v1<T>&a){fe(e,a)th->ep(e);}}; uu sl=set<ll>;uu usl=unordered_set<ll>;uu msl=multiset<ll>; uu dl=deque<ll>; ll oo=3e18; dd ee=1e-12,pi=acosl(-1); u1 dx{-1,0,1,0,-1,1,1,-1},dy{0,-1,0,1,-1,-1,1,1}; str Yes(bo b=1){rr b?"Yes":"No";}str No(){rr Yes(0);} bo odd(ll x){rr x&1;} bo eve(ll x){rr !odd(x);} ll pm1(ll x){rr 1-2*(x&1);} ll pw2(ll n){rr 1LL<<n;} ll rng1(ll l,ll r){rr pw2(r)-pw2(l);}//[l,r) ll rngbit(ll x,ll l,ll r){rr rng1(l,r)&x;} ll ppc(ll x,ll l=0,ll r=63){rr __builtin_popcountll(rngbit(x,l,r));} u1 binary(ll x,ll L){u1 r(L);fo(i,L)r[i]=x&1,x>>=1;rr r;} ll sqr(ll x){if(x<=1)rr x;ll r=sqrtl(x)-1;wh(r+1<=x/(r+1))r++;rr r;} ll cbr(ll x){if(x<=1)rr x;ll r=cbrtl(x)-1;wh(r+1<=x/(r+1)/(r+1))r++;rr r;} ll l2(i128 x){x|=1;ll r=0;wh(x)x>>=1,r++;rr r;}//num of digits in binary ll l10(i128 x){x|=1;ll r=0;wh(x)x/=10,r++;rr r;}//num of digits in decimal ll msb(ll x){if(x==0)rr-1;rr l2(x)-1;} ll lsb(ll x){if(x==0)rr-1;rr __builtin_ctzll(x);} bo in(ll a,ll x,ll b){rr a<=x&&x<b;}//x in [a,b) I<J T,J U,J V>au sum(T a,U d,V n){rr n*(a*2+(n-1)*d)/2;} I<J T>ll len(cs T&a){rr a.size();} I<J T>bo mu(cs T&a){rr !len(a);} I<J T>T sq(cs T&a){rr a*a;} I<J T>ll at(T S,ll i){rr S>>i&1;} I<J T>T at(cs v1<T>&v,ll i){ll n=len(v);rr v[(i%n+n)%n];} I<J T>ll sgn(cs T&a){rr(a>ee)-(a<-ee);} I<J T,J U>ll sgn(cs T&a,cs U&b){rr sgn(a-b);} I<J T,J U>T cei(T x,U y){assert(y);rr(y<0?cei(-x,-y):(x>0?(x+y-1)/y:x/y));} I<J T,J U>T flo(T x,U y){assert(y);rr(y<0?flo(-x,-y):(x>0?x/y:x/y-(x%y!=0)));} ll rp(ll a,ll x=oo,ll y=-1){rr a==x?y:a;} u1 rp(u1 a,ll x=oo,ll y=-1){fo(i,len(a))a[i]=rp(a[i],x,y);rr a;} I<J T>T rect(cs v1<T>&s,ll l,ll r){assert(0<=l&&l<=r&&r<=len(s));T t{};if(r)t+=s[r-1];if(l)t-=s[l-1];rr t;} I<J T,J U=T>au as(cs v1<cp<T,U>>&v){v1<T>r;fe(a,b,v)r.eb(a);rr r;} I<J T,J U=T>au bs(cs v1<cp<T,U>>&v){v1<U>r;fe(a,b,v)r.eb(b);rr r;} I<J T>au cut(cs v1<T>&a,ll l,ll r){rr v1<T>(al(a,l,r));} I<J T,J U=T>vo af(v1<T>&v,U e=U{}){v.ep(bgn(v),e);} I<J T>vo df(v1<T>&v){v.erase(bgn(v));} I<J T>au&bg(T&a){rr*bgn(a);}I<J T>au&bg(cs T&a){rr*bgn(a);} I<J T>au&rb(T&a){rr*rbg(a);}I<J T>au&rb(cs T&a){rr*rbg(a);} I<J T>T pof(deque<T>&q){T r=bg(q);q.pop_front();rr r;} I<J T>T pob(deque<T>&q){T r=rb(q);q.pop_back();rr r;} I<J T>T pop(v1<T>&v){T r=rb(v);v.pop_back();rr r;} I<J T>T pop(qmax<T>&q){T r=q.top();q.pop();rr r;} I<J T>T pop(qmin<T>&q){T r=q.top();q.pop();rr r;} I<J T>au&O^=(v1<T>&v,cs v1<T>u){copy(al(u),back_inserter(v));rr v;}I<J T>au O^(v1<T>v,cs v1<T>&u){rr v^=u;} I<J T>au&O+=(v1<T>&v,cs v1<T>&u){fo(i,len(v))v[i]+=u[i];rr v;}I<J T>au O+(v1<T>v,cs v1<T>&u){rr v+=u;} I<J T>au&O-=(v1<T>&v,cs v1<T>&u){fo(i,len(v))v[i]-=u[i];rr v;}I<J T>au O-(v1<T>v,cs v1<T>&u){rr v-=u;} I<J T>au O-(v1<T>v){fe(e,v)e=-e;rr v;} I<J T>au&O++(v1<T>&v){fe(e,v)e++;rr v;}I<J T>au O++(v1<T>&v,int){au r=v;++v;rr r;} I<J T>au&O--(v1<T>&v){fe(e,v)e--;rr v;}I<J T>au O--(v1<T>&v,int){au r=v;--v;rr r;} I<J T,J U>au&O+=(v1<T>&v,cs U a){fe(e,v)e+=a;rr v;}I<J T,J U>au O+(v1<T>v,cs U&a){rr v+=a;} I<J T,J U>au&O-=(v1<T>&v,cs U a){fe(e,v)e-=a;rr v;}I<J T,J U>au O-(v1<T>v,cs U&a){rr v-=a;} I<J T,J U>au&O*=(v1<T>&v,cs U a){fe(e,v)e*=a;rr v;}I<J T,J U>au O*(v1<T>v,cs U&a){rr v*=a;} I<J T,J U>au&O/=(v1<T>&v,cs U a){fe(e,v)e/=a;rr v;}I<J T,J U>au O/(v1<T>v,cs U&a){rr v/=a;} I<J T,J U>bo amax(T&a,cs U&b){rr a<b?a=b,1:0;} I<J T,J U>bo amin(T&a,cs U&b){rr a>b?a=b,1:0;} I<J T>T max(cs v1<T>&a){rr*max_element(al(a));} I<J T>T min(cs v1<T>&a){rr*min_element(al(a));} I<J T>au max(cs v2<T>&a){T r=bg(bg(a));fe(v,a)amax(r,max(v));rr r;} I<J T>au min(cs v2<T>&a){T r=bg(bg(a));fe(v,a)amin(r,min(v));rr r;} I<J...T>au max(T...a){rr max(initializer_list<common_type_t<T...>>{a...});} I<J...T>au min(T...a){rr min(initializer_list<common_type_t<T...>>{a...});} I<J T>ll argmax(cs v1<T>&a){rr max_element(al(a))-bgn(a);} I<J T>ll argmin(cs v1<T>&a){rr min_element(al(a))-bgn(a);} I<J T>T sum(cs v1<T>&a){rr accumulate(al(a),T{});} I<J T>T sum(cs v2<T>&a){T r{};fe(e,a)r+=sum(e);rr r;} I<J T>T sum(cs set<T>&s){T r{};fe(e,s)r+=e;rr r;} I<J T>T sum(cs deque<T>&q){T r{};fe(e,q)r+=e;rr r;} I<J T>T sum(qmax<T>q){T r{};wh(len(q))r+=pop(q);rr r;} I<J T>T sum(qmin<T>q){T r{};wh(len(q))r+=pop(q);rr r;} I<J T,J U>ll lbs(cs v1<T>&a,cs U&b){rr lb(al(a),b)-bgn(a);} I<J T,J U>ll ubs(cs v1<T>&a,cs U&b){rr ub(al(a),b)-bgn(a);} I<J T,J U>au minmax(cs T&a,cs U&b){rr cp(min(a,b),max(a,b));} I<J T,J U>au minmax(cs cp<T,U>&p){rr minmax(p.a,p.b);} u1 io(ll n,ll x=0){u1 a(n);iota(al(a),x);rr a;} str de(cs u1&a,cs char&b='a'){str r{};fe(e,a)r+=e+b;rr r;} str de(cs u1&a,cs str&b){ll n=len(a);str r(n,'$');fo(i,n)fo(j,len(b))if(a[i]==j){r[i]=b[j];bk;}rr r;} u1 en(cs str&s,cs char&b='a'){u1 r;fe(c,s)r.eb(c-b);rr r;} u1 en(cs str&s,cs string&b){ll n=len(s);u1 r(n,-1);fo(i,n)fo(j,len(b))if(s[i]==b[j]){r[i]=j;bk;}rr r;} u2 en(cs strs&s,cs char&b='a'){u2 r;fe(e,s)r.eb(en(e,b));rr r;} u2 en(cs strs&s,cs string&b){u2 r;fe(e,s)r.eb(en(e,b));rr r;} ss fio{fio(){cin.tie(0);ios::sync_with_stdio(0);cout<<fixed<<setprecision(12);}}fio; os&O<<(os&o,cs i128&x){if(x<0)rr o<<"-"<<-x;if(x<10)rr o<<(char)(x+'0');rr o<<x/10<<(char)(x%10+'0');} I<J T,J U>os&O<<(os&o,cs pair<T,U>&p){rr o<<p.first<<sp<<p.second;} I<J T,J U>os&O<<(os&o,cs map<T,U>&m){fe(p,m)o<<p<<(&p==&rb(m)?nc:nl);rr o;} I<J T,J U>os&O<<(os&o,cs unordered_map<T,U>&m){fe(p,m)o<<p<<nl;rr o;} I<J T>os&O<<(os&o,cs set<T>&s){fe(e,s)o<<e<<sp;rr o;} I<J T>os&O<<(os&o,cs unordered_set<T>&s){fe(e,s)o<<e<<sp;rr o;} I<J T>os&O<<(os&o,cs multiset<T>&s){fe(e,s)o<<e<<sp;rr o;} I<J T>os&O<<(os&o,cs deque<T>&q){fe(e,q)o<<e<<sp;rr o;} I<J T>os&O<<(os&o,qmax<T>q){wh(len(q))o<<pop(q)<<sp;rr o;} I<J T>os&O<<(os&o,qmin<T>q){wh(len(q))o<<pop(q)<<sp;rr o;} I<J T>is&O>>(is&i,v1<T>&v){fe(e,v)i>>e;rr i;} I<J T>os&O<<(os&o,cs v1<T>&v){fe(e,v)o<<e<<(&e==&rb(v)?nc:sp);rr o;} I<J T>os&O<<(os&o,cs v2<T>&v){fe(e,v)o<<e<<(&e==&rb(v)?nc:nl);rr o;} ll pp(){cout<<endl;rr 0;} I<J T,J...A>ll pp(cs T&a,cs A&...b){cout<<a;((cout<<sp<<b),...);rr pp();} I<J...T>ll li(T&...a){(cin>>...>>a);rr 0;} I<J...T>vo vi(ll i,T&...a){(cin>>...>>a[i]);} I<J T,J...A>vo vi(v1<T>&a,A&...b){fo(i,len(a))vi(i,a,b...);} str ins(){ST(r);rr r;} strs ins2(ll n){S2(n,r);rr r;} ss edg{ll t,w;edg(){}edg(ll t,ll w=1):t(t),w(w){}}; uu graph=v2<edg>; u2 tou(cs graph&g){ll n=len(g);u2 a(n);fo(u,n)fe(v,w,g[u])a[u].eb(v);rr a;} graph tog(cs u2&a){ll n=len(a);graph g(n);fo(u,n)fe(v,a[u])g[u].eb(v);rr g;} au mgi(u2&g,ll m){UV(m,a,b);a--,b--;fo(i,m)g[a[i]].eb(b[i]),g[b[i]].eb(a[i]);rr cp(a,b);} au ygi(u2&g,ll m){UV(m,a,b);a--,b--;fo(i,m)g[a[i]].eb(b[i]);rr cp(a,b);} au mgi(graph&g,ll m){UV(m,a,b,c);a--,b--;fo(i,m)g[a[i]].eb(b[i],c[i]),g[b[i]].eb(a[i],c[i]);rr tr(a,b,c);} au ygi(graph&g,ll m){UV(m,a,b,c);a--,b--;fo(i,m)g[a[i]].eb(b[i],c[i]);rr tr(a,b,c);} au ti(u2&g){rr mgi(g,len(g)-1);} au ti(graph&g){rr mgi(g,len(g)-1);} I<J F>ss rec:private F{explicit rec(F&&f):F(forward<F>(f)){}I<J...T>decltype(au)O()(T&&...a)cs{rr F::O()(*th,forward<T>(a)...);}}; I<J T,J...A>au tzp(A&...a){v1<T>v;fe(e,{a...})v^=e;uq(v);rr v;} vo pz(cs u1&v,u1&h){fe(e,h)e=lbs(v,e);} I<J...T>vo pz(cs u1&v,u1&h,T&...t){pz(v,h);pz(v,t...);} I<J...T>u1 zp(T&...a){u1 v=tzp<ll>(a...);pz(v,a...);rr v;} u1 zp(u2&a){u1 v;fe(e,a)v^=e;uq(v);fe(e,a)fe(x,e)x=lbs(v,x);rr v;} I<J T>vo sv(cs u1&o,v1<T>&a){au c=a;fo(i,len(a))a[i]=c[o[i]];} I<J T,J...A>vo sv(cs u1&o,v1<T>&a,A&...b){sv(o,a);sv(o,b...);} I<J T>u1 vs(cs fn<bo(ll,ll)>&f,v1<T>&a){u1 o=io(len(a));sort(al(o),f);sv(o,a);rr o;} I<J T,J...A>u1 vs(cs fn<bo(ll,ll)>&f,v1<T>&a,A&...b){u1 o=io(len(a));sort(al(o),f);sv(o,a);sv(o,b...);rr o;} ll bsl(cs fn<bo(ll)>&j,ll o,ll n){wh(abs(o-n)>1)(j((o+n)/2)?o:n)=(o+n)/2;rr o;} dd bsd(cs fn<bo(dd)>&j,dd o,dd n){wh(abs(o-n)>ee)(j((o+n)/2)?o:n)=(o+n)/2;rr o;} I<J T>au zt(v1<T>a){fo(i,1,len(a))a[i]+=a[i-1];rr a;} I<J T>au mb(v1<T>a){of(i,len(a),1)a[i]-=a[i-1];rr a;} I<J T>au zt(v2<T>a){fe(v,a)v=zt(v);fo(i,1,len(a))a[i]+=a[i-1];rr a;} I<J T>au mb(v2<T>a){fe(v,a)v=mb(v);of(i,len(a),1)a[i]-=a[i-1];rr a;} au rle(cs u1&a){cls r;fe(e,a)len(r)&&e==rb(r).a?rb(r).b++,0:(r.eb(e,1),0);rr r;} au rce(cs u1&a){cls r;ump m;fe(e,a)m[e]++;fe(k,v,m)r.eb(k,v);rr uq(r),r;} u1 divs(ll n){u1 r;fo(i,1,n/i+1)if(n%i==0)r.eb(i),r.eb(n/i);rr uq(r),r;} mp fact(ll n){ump m;fo(i,2,n/i+1)wh(n%i==0)m[i]++,n/=i;if(n>1)m[n]++;rr mp(al(m));} i128 inv(i128 a,i128 m){a=(a%m+m)%m;i128 b=m,u=1,v=0;wh(b)u-=a/b*v,sw(u,v),a-=a/b*b,sw(a,b);rr(u%m+m)%m;} i128 pow(i128 x,i128 n){assert(n>=0);i128 r=1;wh(n){if(n&1)r*=x;x*=x,n>>=1;}rr r;} i128 pow(i128 x,i128 n,i128 m){if(n<0)n=-n,x=inv(x,m);i128 r=1;wh(n){if(n&1)r*=x,r%=m;x*=x,x%=m,n>>=1;}rr r;} au flo_rng(ll n){tls r;ll m=sqr(n),l=n/(m+1);fo(i,1,m+1)r.eb(n/i,i,i+1);of(i,l+1,1)r.eb(i,n/(i+1)+1,n/i+1);rr r;}//[a,b) ss ufin{ ll n;u1 d; ufin(ll n):n(n),d(n,-1){} ll ldr(ll a){assert(in(0,a,n));if(d[a]<0)rr a;rr d[a]=ldr(d[a]);} bo same(ll a,ll b){rr ldr(a)==ldr(b);} ll size(ll a){rr-d[ldr(a)];} u2 groups(){u2 g(n);fo(i,n)g[ldr(i)].eb(i);fe(e,g)srt(e);uq(g);if(mu(bg(g)))df(g);rr g;} ll mrg(ll a,ll b){ll x=ldr(a),y=ldr(b);if(x==y)rr x;if(-d[x]<-d[y])sw(x,y);d[x]+=d[y],d[y]=x;rr x;} }; I<J T>ss twelvefold{ v1<T>fa,rf; twelvefold(ll n):fa(n+1,1),rf(n+1,1){fo(i,1,n+1)fa[i]=fa[i-1]*i;rf[n]=fa[n].inv();of(i,n)rf[i]=rf[i+1]*(i+1);} T O()(ll n,ll k){rr c(n,k);} T c(ll n,ll k){rr n<0?pm1(k)*c(-n+k-1,k):k<0||n<k?0:fa[n]*rf[k]*rf[n-k];} T p(ll n,ll k){rr c(n,k)*fa[k];} T h(ll n,ll r){rr c(n-1+r,r);} }; uu twf=twelvefold<ml>; vo main(){ ll T=1; //li(T); fo(T)solve(); } //https://ei1333.github.io/luzhiled/snippets/math/fast-fourier-transform.html namespace fft{ uu real=double; ss C{ real x,y; C():x(0),y(0){} C(real x,real y):x(x),y(y){} inline C O+(cs C &c)cs{rr C(x+c.x,y+c.y);} inline C O-(cs C &c)cs{rr C(x-c.x,y-c.y);} inline C O*(cs C &c)cs{rr C(x*c.x-y*c.y,x*c.y+y*c.x);} inline C conj()cs{rr C(x,-y);} }; cs real PI=acosl(-1); ll base=1; v1<C>rts={{0,0},{1,0}}; v1<int>rev={0,1}; vo ensure_base(int nbase){ if(nbase<=base)rr; rev.rs(1<<nbase); rts.rs(1<<nbase); fo(i,1<<nbase)rev[i]=(rev[i>>1]>>1)+((i&1)<<(nbase-1)); wh(base<nbase){ real angle=PI*2.0/(1<<(base+1)); fo(i,1<<(base-1),1<<base){ rts[i<<1]=rts[i]; real angle_i=angle*(2*i+1-(1<<base)); rts[(i<<1)+1]=C(cos(angle_i),sin(angle_i)); } ++base; } } vo fft(v1<C>&a,int n){ assert((n&(n-1))==0); int zeros=__builtin_ctz(n); ensure_base(zeros); int shift=base-zeros; fo(i,n)if(i<(rev[i]>>shift))sw(a[i],a[rev[i]>>shift]); for(int k=1;k<n;k<<=1){ for(int i=0;i<n;i+=2*k){ for(int j=0;j<k;j++){ C z=a[i+j+k]*rts[j+k]; a[i+j+k]=a[i+j]-z; a[i+j]=a[i+j]+z; } } } } }; //https://ei1333.github.io/luzhiled/snippets/math/arbitrary-mod-convolution.html I<J T>ss arbitrary_mod_convolution{ uu real=fft::real; uu C=fft::C; arbitrary_mod_convolution()=default; v1<T>multiply(cs v1<T>&a,cs v1<T>&b,int need=-1){ if(need==-1)need=len(a)+len(b)-1; int nbase=0; wh((1<<nbase)<need)nbase++; fft::ensure_base(nbase); int sz=1<<nbase; v1<C>fa(sz); fo(i,len(a))fa[i]=C(a[i].val()&((1<<15)-1),a[i].val()>>15); fft::fft(fa,sz); v1<C>fb(sz); if(a==b){ fb=fa; }el{ fo(i,len(b))fb[i]=C(b[i].val()&((1<<15)-1),b[i].val()>>15); fft::fft(fb,sz); } real ratio=0.25/sz; C r2(0,-1),r3(ratio,0),r4(0,-ratio),r5(0,1); for(int i=0;i<=(sz>>1);i++){ int j=(sz-i)&(sz-1); C a1=(fa[i]+fa[j].conj()); C a2=(fa[i]-fa[j].conj())*r2; C b1=(fb[i]+fb[j].conj())*r3; C b2=(fb[i]-fb[j].conj())*r4; if(i!=j){ C c1=(fa[j]+fa[i].conj()); C c2=(fa[j]-fa[i].conj())*r2; C d1=(fb[j]+fb[i].conj())*r3; C d2=(fb[j]-fb[i].conj())*r4; fa[i]=c1*d1+c2*d2*r5; fb[i]=c1*d2+c2*d1; } fa[j]=a1*b1+a2*b2*r5; fb[j]=a1*b2+a2*b1; } fft::fft(fa,sz); fft::fft(fb,sz); v1<T>ret(need); fo(i,need){ int64_t aa=llround(fa[i].x); int64_t bb=llround(fb[i].x); int64_t cc=llround(fa[i].y); aa=T(aa).val(),bb=T(bb).val(),cc=T(cc).val(); ret[i]=aa+(bb<<15)+(cc<<30); } rr ret; } }; uu amc=arbitrary_mod_convolution<ml>; //https://ei1333.github.io/luzhiled/snippets/math/formal-power-series.html I<J T>ss formal_power_series:v1<T>{ uu v1<T>::v1; uu P=formal_power_series; uu MULT=fn<P(P,P)>; static MULT&get_mult(){static MULT mult=nullptr;rr mult;} static vo set_fft(MULT f){get_mult()=f;} I<J U>formal_power_series(cs v1<U>&a){ ll n=len(a); th->rs(n); fo(i,n)(*th)[i]=a[i]; } bo O<(cs P&f)cs{rr len(*th)<len(f);} bo O>(cs P&f)cs{rr len(*th)>len(f);} P&O+=(cs P&f){ if(len(f)>len(*th))th->rs(len(f)); fo(i,len(f))(*th)[i]+=f[i]; rr*th; } P&O-=(cs P&f){ if(len(f)>len(*th))th->rs(len(f)); fo(i,len(f))(*th)[i]-=f[i]; rr*th; } P&O+=(cs T&t){if(mu(*th))th->rs(1);(*th)[0]+=t;rr*th;} P&O-=(cs T&t){if(mu(*th))th->rs(1);(*th)[0]-=t;rr*th;} P&O*=(cs T&t){fo(i,len(*th))(*th)[i]*=t;rr*th;} P&O*=(cs P&f){ if(mu(*th)||mu(f))rr*th=P(); assert(get_mult()); rr*th=get_mult()(*th,f); } P&O%=(cs P&f){*th-=*th/f*f;shrink();rr*th;} P&O/=(cs P&f){ if(len(*th)<len(f))rr*th=P(); ll n=len(*th)-len(f)+1; rr*th=(rev().pre(n)*f.rev().inv(n)).pre(n).rev(n); } P O+(cs P&f)cs{rr P(*th)+=f;} P O-(cs P&f)cs{rr P(*th)-=f;} P O*(cs P&f)cs{rr P(*th)*=f;} P O/(cs P&f)cs{rr P(*th)/=f;} P O%(cs P&f)cs{rr P(*th)%=f;} I<J U=T>P O+(cs U&t)cs{rr P(*th)+=t;} I<J U=T>P O-(cs U&t)cs{rr P(*th)-=t;} I<J U=T>P O*(cs U&t)cs{rr P(*th)*=t;} P O-()cs{P r=*th;fe(x,r)x=-x;rr r;} P O>>(ll sz)cs{if(len(*th)<=sz)rr P();P r(*th);r.erase(al(r,sz));rr r;} P O<<(ll sz)cs{P r(*th);r.insert(bgn(r),sz,T{});rr r;} vo shrink(){wh(len(*th)&&rb(*th)==T{})pop(*th);} P pre(ll deg)cs{rr P(al(*th,min(len(*th),deg)));}//mod x^deg P rev(ll deg=-1)cs{P r(*th);if(deg!=-1)r.rs(deg,T{});rv(r);rr r;} T O()(T x)cs{T r=0,w=1;fe(v,*th)r+=w*v,w*=x;rr r;} P dif()cs{ ll n=len(*th); P r(max(n-1,0)); fo(i,1,n)r[i-1]=(*th)[i]*T{i}; rr r; } P integral()cs{ ll n=len(*th); P r(n+1); r[0]=T{}; fo(i,n)r[i+1]=(*th)[i]/T{i+1}; rr r; } //https://judge.yosupo.jp/problem/inv_of_formal_power_series P inv(ll deg=-1)cs{ assert((*th)[0]!=T{}); ll n=len(*th); if(deg==-1)deg=n; P r{T{1}/(*th)[0]}; for(ll i=1;i<deg;i<<=1)r=(r+r-sq(r)*pre(i<<1)).pre(i<<1); rr r.pre(deg); } //https://judge.yosupo.jp/problem/log_of_formal_power_series P log(ll deg=-1)cs{ assert((*th)[0]==T{1}); ll n=len(*th); if(deg==-1)deg=n; rr(th->dif()*th->inv(deg)).pre(deg-1).integral(); } //https://judge.yosupo.jp/problem/exp_of_formal_power_series P exp(ll deg=-1)cs{ assert((*th)[0]==T{}); ll n=len(*th); if(deg==-1)deg=n; P r{1}; for(ll i=1;i<deg;i<<=1)r=(r*(pre(i<<1)+T{1}-r.log(i<<1))).pre(i<<1); rr r.pre(deg); } //https://judge.yosupo.jp/problem/sqrt_of_formal_power_series P sqr(ll deg=-1)cs{ ll n=len(*th); if(deg==-1)deg=n; if((*th)[0]==T{}){ fo(i,1,n){ if((*th)[i]!=T{}){ if(i&1)rr{};//no solution if(deg-i/2<=0)bk; au r=(*th>>i).sqr(deg-i/2); if(mu(r))rr{};//no solution r=r<<(i/2); if(len(r)<deg)r.rs(deg,T{}); rr r; } } rr P(deg,T{}); } au s=msqr((*th)[0].val(),ml::mod()); if(sq(s)!=(*th)[0])rr{};//no solution P r{s}; T iv2=T{1}/T{2}; for(ll i=1;i<deg;i<<=1)r=(r+pre(i<<1)*r.inv(i<<1))*iv2; rr r.pre(deg); } //https://judge.yosupo.jp/problem/pow_of_formal_power_series P pow(i128 k,ll deg=-1)cs{ ll n=len(*th); if(deg==-1)deg=n; if(k==0){P r(deg);r[0]=1;rr r;} fo(i,n){ if((*th)[i]!=T{}){ T rv=T{1}/(*th)[i]; P r=(((*th*rv)>>i).log(deg)*k).exp(deg)*((*th)[i].pow(k)); if(i*k>deg)rr P(deg,T{}); r=(r<<(i*k)).pre(deg); if(len(r)<deg)r.rs(deg,T{}); rr r; } } rr*th; } //https://judge.yosupo.jp/problem/polynomial_taylor_shift P taylor_shift(ll C,ll deg=-1){//f(x+C) ll n=len(*th); if(deg==-1)deg=n; m1 c(n,1); fo(i,1,n)c[i]=c[i-1]*C; twf tw(n); P f(n),g(n); fo(i,n){ f[i]=(*th)[i]*tw.fa[i]; g[n-1-i]=c[i]*tw.rf[i]; } f*=g; fo(i,n)f[i+n-1]*=tw.rf[i]; rr cut(f,n-1,n*2-1); } }; uu fps=formal_power_series<ml>; //https://nyaannyaan.github.io/library/fps/kitamasa.hpp.html ml kitamasa(ll n,fps p,fps q){//[x^n]\frac{p(x)}{q(x)} q.shrink(); ml ret=0; if(len(p)>=len(q)){ au r=p/q; p-=r*q; p.shrink(); if(n<len(r))ret+=r[n]; } if(mu(p))rr ret; p.rs(len(q)-1); wh(n){ au q2=q; fo(i,1,len(q2),2)q2[i]=-q2[i]; au s=p*q2; au t=q*q2; if(n&1){ fo(i,1,len(s),2)p[i>>1]=s[i]; fo(i,0,len(t),2)q[i>>1]=t[i]; }el{ fo(i,0,len(s),2)p[i>>1]=s[i]; fo(i,0,len(t),2)q[i>>1]=t[i]; } n>>=1; } rr ret+p[0]; } //k項間漸化式 a_n=\sum_{i=1}^k c_i a_{n-i}のn項目 //a_0,a_1,...,a_{k-1}が分かっている ml kitamasa(ll n,cs m1&a,cs m1&c){ assert(len(c)==len(a)); ll k=len(c); au t=m1{1}+(-c); fps q(al(t)); fps p=(q*fps(al(a))).pre(k); rr kitamasa(n,p,q); } fps prod(cs v1<fps>&fs){ qmin<fps>q;//マージテク fe(f,fs)q.ep(f); wh(len(q)>1){ au f=pop(q),g=pop(q); q.ep(f*g); } rr pop(q); } vo solve(){ amc fft; au mul=[&](cs fps&a,cs fps&b){ au r=fft.multiply(a,b); //au r=convolution(a,b); rr fps(r); }; fps::set_fft(mul); LL(N); UL(N+1,a); fps f(a); LL(M); UL(M+1,b); fps g(b); if(a==u1(N+1)||b==u1(M+1)){ pp(0); pp(0); rr; } fps h=f*g; pp(len(h)-1); pp(h); }}