結果
問題 | No.1659 Product of Divisors |
ユーザー | eQe |
提出日時 | 2022-08-22 06:28:52 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
RE
|
実行時間 | - |
コード長 | 19,112 bytes |
コンパイル時間 | 13,301 ms |
コンパイル使用メモリ | 492,008 KB |
実行使用メモリ | 647,712 KB |
最終ジャッジ日時 | 2024-10-10 06:31:54 |
合計ジャッジ時間 | 17,332 ms |
ジャッジサーバーID (参考情報) |
judge3 / 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
13,640 KB |
testcase_01 | AC | 4 ms
6,820 KB |
testcase_02 | AC | 2 ms
6,816 KB |
testcase_03 | AC | 2 ms
6,820 KB |
testcase_04 | AC | 12 ms
6,816 KB |
testcase_05 | AC | 17 ms
6,816 KB |
testcase_06 | AC | 17 ms
6,816 KB |
testcase_07 | AC | 17 ms
6,816 KB |
testcase_08 | AC | 2 ms
6,816 KB |
testcase_09 | RE | - |
testcase_10 | RE | - |
testcase_11 | RE | - |
testcase_12 | RE | - |
testcase_13 | AC | 2 ms
6,820 KB |
testcase_14 | RE | - |
testcase_15 | MLE | - |
testcase_16 | -- | - |
testcase_17 | -- | - |
testcase_18 | -- | - |
testcase_19 | -- | - |
testcase_20 | -- | - |
testcase_21 | -- | - |
testcase_22 | -- | - |
testcase_23 | -- | - |
testcase_24 | -- | - |
ソースコード
#pragma GCC target("avx2")#pragma GCC optimize("O3")#pragma GCC optimize("unroll-loops")#include<atcoder/all>#include<boost/multiprecision/cpp_int.hpp>#include<bits/stdc++.h>#define bgn(a) begin(a)#define rbg(a) rbegin(a)#define fin(...) exit(pp(__VA_ARGS__))#define ep(...) emplace(__VA_ARGS__)#define ef(...) emplace_front(__VA_ARGS__)#define eb(...) emplace_back(__VA_ARGS__)#define pf(...) pop_front(__VA_ARGS__)#define pb(...) pop_back(__VA_ARGS__)#define ei(...) else if(__VA_ARGS__)#define iif if#define el else#define wh(...) while(__VA_ARGS__)#define lb(...) lower_bound(__VA_ARGS__)#define ub(...) upper_bound(__VA_ARGS__)#define itmax(...) max_element(al(__VA_ARGS__))#define itmin(...) min_element(al(__VA_ARGS__))#define srt(...) sort(al(__VA_ARGS__))#define rv(...) reverse(al(__VA_ARGS__))#define uq(a) srt(a);a.erase(unique(al(a)),end(a))#define sw(a,b) swap(a,b)#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 of1(a) fo(a)#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,of1)(__VA_ARGS__)#define fe1(a) fo(len(a))#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,fe1)(__VA_ARGS__)#define LL(...) ll __VA_ARGS__;li(__VA_ARGS__)#define DD(...) dd __VA_ARGS__;li(__VA_ARGS__)#define ST(...) str __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 UV2(n,a) u1 a(n);vi(a)#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,UV2)(__VA_ARGS__)#define DL2(n,a) v1<dd>a(n);li(a)#define DL3(n,a,b) v1<dd>a(n),b(n);li(a,b)#define DL4(n,a,b,c) v1<dd>a(n),b(n),c(n);li(a,b,c)#define DL5(n,a,b,c,d) v1<dd>a(n),b(n),c(n),d(n);li(a,b,c,d)#define DL(...) ov5(__VA_ARGS__,DL5,DL4,DL3,DL2)(__VA_ARGS__)#define DV2(n,a) v1<dd>a(n);vi(a)#define DV3(n,a,b) v1<dd>a(n),b(n);vi(a,b)#define DV4(n,a,b,c) v1<dd>a(n),b(n),c(n);vi(a,b,c)#define DV5(n,a,b,c,d) v1<dd>a(n),b(n),c(n),d(n);vi(a,b,c,d)#define DV(...) ov5(__VA_ARGS__,DV5,DV4,DV3,DV2)(__VA_ARGS__)#define U23(h,w,a) u2 a;rs(a,h,w);li(a)#define U24(h,w,a,b) u2 a,b;rs(a,h,w),rs(b,h,w);li(a,b)#define U25(h,w,a,b,c) u2 a,b,c;rs(a,h,w),rs(b,h,w),rs(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 aa2(a,b) ((a)&&(b))#define aa3(a,b,c) ((a)&&(b)&&(c))#define aa4(a,b,c,d) ((a)&&(b)&&(c)&&(d))#define aa5(a,b,c,d,e) ((a)&&(b)&&(c)&&(d)&&(e))#define aa6(a,b,c,d,e,f) ((a)&&(b)&&(c)&&(d)&&(e)&&(f))#define aa(...) ov6(__VA_ARGS__,aa6,aa5,aa4,aa3,aa2)(__VA_ARGS__)#define oo2(a,b) ((a)||(b))#define oo3(a,b,c) ((a)||(b)||(c))#define oo4(a,b,c,d) ((a)||(b)||(c)||(d))#define oo5(a,b,c,d,e) ((a)||(b)||(c)||(d)||(e))#define oo6(a,b,c,d,e,f) ((a)||(b)||(c)||(d)||(e)||(f))#define oo(...) ov6(__VA_ARGS__,oo6,oo5,oo4,oo3,oo2)(__VA_ARGS__)#define I template#define J class#define rr return#define ss struct#define uu using#define as assert#define au auto#define bk break#define cs const#define ct continue#define endl "\n"#define fd friend#define op operator#define sc static#define th thisnamespace my{uu vo=void;vo main();vo solve();}int main(){my::main();}namespace my{uu namespace std;uu namespace atcoder;uu namespace boost::multiprecision;uu mint=modint1000000007;uu cint=cpp_int;uu ll=long long;uu dd=long double;uu ui=unsigned int;uu chr=char;uu str=string;uu bo=bool;uu is=istream;uu os=ostream;str sp=" ",nc="",nl="\n";au np=nullptr;I<J A,J B>ss cp{A a;B b;cp():a(A()),b(B()){}cp(A a,B b):a(a),b(b){}cp op+()cs{rr*th;}cp op-()cs{rr cp(-a,-b);}cp&op++(){a++,b++;rr*th;}cp op++(int){cp r=*th;++*th;rr r;}cp&op--(){a--,b--;rr*th;}cp op--(int){cp r=*th;--*th;rr r;}cp&op+=(cs cp&c){a+=c.a;b+=c.b;rr*th;}cp op+(cs cp&c)cs{rr cp(*th)+=c;}cp&op-=(cs cp&c){a-=c.a;b-=c.b;rr*th;}cp op-(cs cp&c)cs{rr cp(*th)-=c;}cp&op*=(cs cp&c){a*=c.a;b*=c.b;rr*th;}cp op*(cs cp&c)cs{rr cp(*th)*=c;}I<J D>cp&op+=(cs D&d){a+=d;b+=d;rr*th;}I<J D>cp op+(cs D&d)cs{rr cp(*th)+=d;}I<J D>cp&op-=(cs D&d){a-=d;b-=d;rr*th;}I<J D>cp op-(cs D&d)cs{rr cp(*th)-=d;}I<J D>cp&op*=(cs D&d){a*=d;b*=d;rr*th;}I<J D>cp op*(cs D&d)cs{rr cp(*th)*=d;}bo op==(cs cp&c)cs{rr aa(a==c.a,b==c.b);}bo op!=(cs cp&c)cs{rr!(*th==c);}bo op<(cs cp&c)cs{rr a!=c.a?a<c.a:b<c.b;}bo op>=(cs cp&c)cs{rr!(*th<c);}bo op>(cs cp&c)cs{rr a!=c.a?a>c.a:b>c.b;}bo op<=(cs cp&c)cs{rr!(*th>c);}fd is&op>>(is&i,cp&c){rr i>>c.a>>c.b;}fd os&op<<(os&o,cs cp&c){rr o<<c.a<<sp<<c.b;}};I<J A,J B,J C>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 op==(cs tr&t)cs{rr aa(a==t.a,b==t.b,c==t.c);}bo op!=(cs tr&t)cs{rr!(*th==t);}bo op<(cs tr&t)cs{rr a!=t.a?a<t.a:b!=t.b?b<t.b:c<t.c;}bo op>(cs tr&t)cs{rr a!=t.a?a>t.a:b!=t.b?b>t.b:c>t.c;}fd is&op>>(is&i,tr&t){rr i>>t.a>>t.b>>t.c;}fd os&op<<(os&o,cs tr&t){rr o<<t.a<<sp<<t.b<<sp<<t.c;}};I<J A,J B,J C,J D>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 op==(cs qu&q)cs{rr aa(a==q.a,b==q.b,c==q.c,d==q.d);}bo op!=(cs qu&q)cs{rr!(*th==q);}bo op<(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 op>(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;}fd is&op>>(is&i,qu&q){rr i>>q.a>>q.b>>q.c>>q.d;}fd os&op<<(os&o,cs qu&q){rr o<<q.a<<sp<<q.b<<sp<<q.c<<sp<<q.d;}};I<J T>uu v1=vector<T>;uu u1=v1<ll>;I<J T>uu v2=v1<v1<T>>;uu u2=v1<u1>;I<J T>uu v3=v1<v2<T>>;uu u3=v1<u2>;I<J T>uu v4=v1<v3<T>>;uu u4=v1<u3>;I<J T>uu mset=multiset<T>;I<J T>uu fn=function<T>;I<J T>uu pqmax=priority_queue<T>;I<J T>uu pqmin=priority_queue<T,v1<T>,greater<T>>;uu strs=v1<str>;uu cl=cp<ll,ll>;uu cd=cp<dd,dd>;uu tl=tr<ll,ll,ll>;uu ql=deque<ll>;uu sl=set<ll>;uu msl=mset<ll>;uu ml=map<ll,ll>;ss edg{ll t,w;edg(){}edg(ll t,ll w=1):t(t),w(w){}};uu graph=v2<edg>;ll inf=3e18;dd e=1e-10,pi=acosl(-1);u1 dx={-1,0,1,0,-1,1,1,-1},dy={0,-1,0,1,-1,-1,1,1};str first(bo t=1){rr t?"first":"second";}str First(bo t=1){rr t?"First":"Second";}str yes(bo t=1){rr t?"yes":"no";}str no(){rr yes(0);}str Yes(bo t=1){rr t?"Yes":"No";}str No(){rr Yes(0);}str YES(bo t=1){rr t?"YES":"NO";}str NO(){rr YES(0);}str possible(bo t=1){rr t?"possible":"impossible";}str Possible(bo t=1){rr t?"Possible":"Impossible";}str POSSIBLE(bo t=1){rr t?"POSSIBLE":"IMPOSSIBLE";}ui rnd(){sc ui x=123456789,y=362436069,z=521288629,w=88675123;ui t=(x^(x<<11));x=y,y=z,z=w;rr(w=(w^(w>>19))^(t^(t>>8)));}dd rnd_prb(){rr (dd)rnd()/UINT_MAX;}ll rnd_rng(ll r){rr rnd()%r;}ll rnd_rng(ll l,ll r){rr rnd()%(r-l)+l;}bo od(ll x){rr x&1;}bo ev(ll x){rr !od(x);}ll bit(ll a){rr 1LL<<a;}ll ppc(ll a){rr __builtin_popcountll(a);}ll sqr(ll x){if(x<=1)rr x;ll r=sqrtl(x)-1;wh(r+1<=x/(r+1))r++;rr r;}ll lg2(ll n){ll r=0;wh(n){n/=2;r++;}rr r;}I<J T>ll len(cs T&a){rr a.size();}I<J T>bo yu(cs T&a){rr len(a);}I<J T>bo mu(cs T&a){rr !yu(a);}I<J T>T sq(T a){rr a*a;}ll at(ll 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>e)-(a<-e);}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){as(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){as(y);rr(y<0?flo(-x,-y):(x>0?x/y:x/y-!(x%y)));}str sb(cs str&s,ll i,ll n){rr s.substr(i,n);}str tos(cs chr&a){rr a+nc;}str tos(cs chr*a){rr a;}str tos(cs str&a){rr a;}I<J T>str tos(cs T&a){rr to_string(a);}I<J T,J...A>str tos(cs T&a,cs A&...b){rr tos(a)+tos(b...);}u1 tou(cs str&s,chr b='a'){u1 a;fe(c,s)a.eb(c-b);rr a;}u2 tou(cs strs&s,chr b='a'){u2 a;fe(t,s)a.eb(tou(t,b));rr a;}u1 tou(cs str&s,cs str&t){ll n=len(s);u1 a(n);fo(i,n)fo(j,len(t))if(s[i]==t[j]){a[i]=j;bk;}rr a;}u2 tou(cs strs&s,cs str&t){ll h=len(s);u2 a(h);fo(i,h)a[i]=tou(s[i],t);rr a;}u1 tou(cs v1<chr>&b,cs str&t){ll n=len(b);u1 a(n);fo(i,n)fo(j,len(t))if(b[i]==t[j]){a[i]=j;bk;}rr a;}I<J T>au op+(v1<T>v){rr v;}I<J T>au op-(v1<T>v){fe(x,v)x=-x;rr v;}I<J T>au&op++(v1<T>&v){fe(x,v)x++;rr v;}I<J T>au&op--(v1<T>&v){fe(x,v)x--;rr v;}I<J T>au op++(v1<T>&v,int){au r=v;++v;rr r;}I<J T>au op--(v1<T>&v,int){au r=v;--v;rr r;}I<J T>au&op+=(v1<T>&v,cs v1<T>&u){fo(i,len(v))v[i]+=u[i];rr v;}I<J T>au&op-=(v1<T>&v,cs v1<T>&u){fo(i,len(v))v[i]-=u[i];rr v;}I<J T>au&op*=(v1<T>&v,cs v1<T>&u){fo(i,len(v))v[i]*=u[i];rr v;}I<J T>au op+(v1<T>v,cs v1<T>&u){rr v+=u;}I<J T>au op-(v1<T>v,cs v1<T>&u){rr v-=u;}I<J T>au op*(v1<T>v,cs v1<T>&u){rr v*=u;}I<J T,J U>au&op+=(v1<T>&v,cs U&a){fe(x,v)x+=a;rr v;}I<J T,J U>au&op-=(v1<T>&v,cs U&a){fe(x,v)x-=a;rr v;}I<J T,J U>au&op*=(v1<T>&v,cs U&a){fe(x,v)x*=a;rr v;}I<J T,J U>au&op/=(v1<T>&v,cs U&a){fe(x,v)x/=a;rr v;}I<J T,J U>au&op%=(v1<T>&v,cs U&a){fe(x,v)x%=a;rr v;}I<J T,J U>au op+(v1<T>v,cs U&a){rr v+=a;}I<J T,J U>au op-(v1<T>v,cs U&a){rr v-=a;}I<J T,J U>au op*(v1<T>v,cs U&a){rr v*=a;}I<J T,J U>au op/(v1<T>v,cs U&a){rr v/=a;}I<J T,J U>au op%(v1<T>v,cs U&a){rr v%=a;}I<J T>au jo(v1<T>&a,cs v1<T>&b){copy(al(b),back_inserter(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 *itmax(a);}I<J T>T min(cs v1<T>&a){rr *itmin(a);}I<J T>au max(cs v2<T>&a){rr max(*itmax(a));}I<J T>au min(cs v2<T>&a){rr min(*itmin(a));}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 itmax(a)-bgn(a);}I<J T>ll argmin(cs v1<T>&a){rr itmin(a)-bgn(a);}I<J T,J U>au gcd(cs T&a,cs U&b){rr std::gcd(a,b);}I<J T,J...A>au gcd(cs T&a,cs A&...b){rr gcd(a,gcd(b...));}I<J T>T sum(cs v1<T>&a){rr accumulate(al(a),T());}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);}I<J X,J Y>au mp(cs fn<Y(X)>&f,v1<X>x){v1<Y>y;fe(a,x)y.eb(f(a));rr y;}I<J T,J U>au keys(cs map<T,U>&m){v1<T>r;fe(k,v,m)r.eb(k);rr r;}I<J T,J U>au vals(cs map<T,U>&m){v1<U>r;fe(k,v,m)r.eb(v);rr r;}u1 io(ll n,ll a=0){u1 i(n);iota(al(i),a);rr i;}I<J T,J U>vo emplace_front(v1<T>&v,U x=U()){v.ep(bgn(v),x);}I<J T>vo emplace_front(v1<T>&v,T x=T()){v.ep(bgn(v),x);}I<J T>vo pop_front(v1<T>&v){v.erase(bgn(v));}I<J T>au&bg(T&a){rr*bgn(a);}I<J T>au&rb(T&a){rr*rbg(a);}I<J T>T bg(pqmax<T>&q){rr q.top();}I<J T>T bg(pqmin<T>&q){rr q.top();}I<J T>T pop(v1<T>&v){T r=rb(v);v.pb();rr r;}I<J T>T pop_front(deque<T>&q){T r=bg(q);q.pf();rr r;}I<J T>T pop_back(deque<T>&q){T r=rb(q);q.pb();rr r;}I<J T>T pop(deque<T>&q){rr pop_front(q);}I<J T>T pop(pqmax<T>&q){T r=bg(q);q.pop();rr r;}I<J T>T pop(pqmin<T>&q){T r=bg(q);q.pop();rr r;}ss z{z(){cin.tie(0);ios::sync_with_stdio(0);cout<<fixed<<setprecision(10);}}z;is&op>>(is&i,mint&x){ll t;i>>t;x=t;rr i;}os&op<<(os&o,cs mint&x){rr o<<x.val();}I<J T,J U>is&op>>(is&i,pair<T,U>&p){rr i>>p.first>>p.second;}I<J T,J U>os&op<<(os&o,cs pair<T,U>&p){rr o<<p.first<<sp<<p.second;}I<J T>is&op>>(is&i,v1<T>&v){fe(x,v)i>>x;rr i;}I<J T>os&op<<(os&o,cs v1<T>&v){fe(x,v)o<<x<<(&x==&rb(v)?nc:sp);rr o;}I<J T>os&op<<(os&o,cs v2<T>&v){fe(x,v)o<<x<<(&x==&rb(v)?nc:nl);rr o;}I<J T,J U>os&op<<(os&o,cs map<T,U>&m){fe(p,m)o<<p<<(&p==&rb(m)?nc:nl);rr o;}I<J T>os&op<<(os&o,cs set<T>&s){fe(x,s)o<<x<<sp;rr o;}I<J T>os&op<<(os&o,cs mset<T>&s){fe(x,s)o<<x<<sp;rr o;}I<J T>os&op<<(os&o,deque<T>q){wh(yu(q))o<<pop(q)<<sp;rr o;}I<J T>os&op<<(os&o,pqmax<T>q){wh(yu(q))o<<pop(q)<<sp;rr o;}I<J T>os&op<<(os&o,pqmin<T>q){wh(yu(q))o<<pop(q)<<sp;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...);}I<J T>vo rs(v1<T>&v,ll n){v.resize(n);}I<J T,J...A>vo rs(v1<T>&V,ll n,cs A&...a){rs(V,n);fe(v,V)rs(v,a...);}I<J T,J U>vo fl(T&x,cs U&a){x=a;}I<J T,J U>vo fl(v1<T>&V,cs U&a){fe(v,V)fl(v,a);}vo gi(u2&g,ll m,bo d=1){fo(m){LL(a,b);a--,b--;g[a].eb(b);if(d)g[b].eb(a);}}vo gi(graph&g,ll m,bo w=1,bo d=1){fo(m){LL(a,b);a--,b--;ll c=1;if(w)li(c);g[a].eb(b,c);if(d)g[b].eb(a,c);}}vo ti(u2&g,bo d=1){gi(g,len(g)-1,d);}vo ti(graph&g,bo w=1,bo d=1){gi(g,len(g)-1,w,d);}I<J F>ss rcl:private F{explicit rcl(F&&f):F(forward<F>(f)){}I<J...T>decltype(au)op()(T&&...a)cs{rr F::op()(*th,forward<T>(a)...);}};vo pz(cs u1&v,u1&h){fe(x,h)x=lbs(v,x);}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;fe(e,{a...})jo(v,e);uq(v);pz(v,a...);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>au vs(cs fn<bo(ll,ll)>&f,T&...a){ll n=0;fe(e,{a...})n=len(e);u1 o=io(n),p(n);sort(al(o),f);fo(i,n)p[o[i]]=i;sv(o,a...);rr cp(o,p);}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)>e)(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 kth(cs u1&a,ll k){u1 s=zt(a);rr cp(lbs(s,k),s);}au kth2(cs u1&a,ll&k){au[i,s]=kth(a,k);k-=s[i-1];rr i;}I<J T>T esq(T x,ll n,T e){wh(n){if(n&1)e*=x;x*=x;n/=2;}rr e;}vo wafl(u2&d){ll n=len(d);fo(k,n)fo(i,n)fo(j,n)amin(d[i][j],d[i][k]+d[k][j]);}u1 divs(ll n){ml m;fo(i,1,n/i+1)if(n%i==0)m[i]++,m[n/i]++;rr keys(m);}ml prfa(ll n){ml m;fo(i,2,n/i+1)wh(n%i==0)m[i]++,n/=i;if(n>1)m[n]++;rr m;}ll pow(ll x,ll n,ll m=inf){ll r=1;wh(n){if(n&1)r*=x,r%=m;x*=x,x%=m,n/=2;}rr r;}ll inv(ll a,ll m){ll 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;}ll mrg(u1&a){ll n=len(a);if(n<=1)rr 0;u1 b(al(a,n/2)),c(al(a,n/2,n));ll cnt=mrg(b)+mrg(c);for(ll i=0,j=0,k=0;i<n;){if(aa(j<len(b),oo(k==len(c),b[j]<=c[k])))a[i++]=b[j++];el cnt+=n/2-j,a[i++]=c[k++];}rr cnt;}ll inv(u1 a){rr mrg(a);}ll inv(u1 a,u1 b){u1 x=a,y=b;srt(x),srt(y);as(x==y);ll n=len(a);u2 g(len(zp(a,b)));of(i,n)g[b[i]].eb(i);fo(i,n)a[i]=pop(g[a[i]]);rr inv(a);}I<J T>ll jobsch(v1<cp<T,T>>s){vs([&](ll i,ll j){rr s[i].b<s[j].b;},s);ll r=0;T cu=0;fe(a,b,s)if(cu<=a)cu=b,r++;rr r;}mint sbqc(u1 a){ll n=len(a);ef(a);v1<mint>dp(n+1),su(n+1);dp[0]=su[0]=1;u1 p(len(zp(a)));fo(i,1,n+1){ll&k=p[a[i]];dp[i]=su[i-1]-(k?su[k-1]:0);su[i]=su[i-1]+dp[i];k=i;}rr su[n]-1;}u2 bfs2(cs u2&g,ll sx=0,ll sy=0){ll h=len(g),w=len(g[0]);u2 d;rs(d,h,w);fl(d,inf);d[sx][sy]=0;deque<cl>q;q.eb(sx,sy);wh(yu(q)){au[x,y]=pop(q);fo(k,4){ll nx=x+dx[k],ny=y+dy[k];if(oo(nx<0,ny<0,nx>=h,ny>=w))ct;if(g[nx][ny])ct;if(d[nx][ny]==inf)d[nx][ny]=d[x][y]+1,q.eb(nx,ny);}}rr d;}u1 bfs(cs u2&g,ll s=0){ll n=len(g);u1 d(n,inf);d[s]=0;ql q;q.eb(s);wh(yu(q)){ll u=pop(q);fe(v,g[u])if(d[v]==inf)d[v]=d[u]+1,q.eb(v);}rr d;}u1 djks(cs graph&g,ll s=0){ll n=len(g);u1 d(n,inf);d[s]=0;pqmin<cl>q;q.ep(0,s);wh(yu(q)){au[du,u]=pop(q);if(d[u]<du)ct;fe(v,w,g[u])if(amin(d[v],du+w))q.ep(d[v],v);}rr d;}I<J T>ss tww{v1<T>fa,rf,bs;v2<T>m;v2<bo>u;tww(ll n){n++;rs(fa,n);rs(rf,n);rs(bs,n);fa[0]=rf[0]=bs[0]=1;fo(i,1,n)fa[i]=fa[i-1]*i,rf[i]=rf[i-1]/i;fo(i,1,n)bs[i]=bs[i-1]+rf[i]*pow(-1,i&1);if(n<=5e3)rs(m,n,n),rs(u,n,n);}T c(ll n,ll k){rr oo(n<k,n<0,k<0)?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 k){rr c(n+k-1,n);}//n個の区別できない球をk個の区別できる箱に配るT s(ll n,ll k){T r=0;fo(i,k+1)r+=c(k,i)*T(i).pow(n)*pow(-1,k-i);rr r*rf[k];}T b(ll n,ll k){T r=0;fo(i,k+1)r+=T(i).pow(n)*rf[i]*bs[k-i];rr r;}T par(ll n,ll k){//自然数nをk個の0以上の整数に分割するif(aa(n==0,k==0))rr 1;if(k==0)rr 0;if(u[n][k])rr m[n][k];if(n-k>=0)rr u[n][k]=1,m[n][k]=p(n,k-1)+p(n-k,k);rr u[n][k]=1,m[n][k]=p(n,k-1);}};ss ufin{ll n;u1 d;ufin():n(0){}ufin(ll n):n(n),d(n,-1){}ll ldr(ll a){as(aa(0<=a,a<n));if(d[a]<0)rr a;rr d[a]=ldr(d[a]);}bo same(ll a,ll b){as(aa(0<=a,a<n,0<=b,b<n));rr ldr(a)==ldr(b);}ll size(ll a){as(aa(0<=a,a<n));rr-d[ldr(a)];}ll mrg(ll a,ll b){as(aa(0<=a,a<n,0<=b,b<n));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;}u2 groups(){u1 l(n);u2 g(n);fo(i,n)l[i]=ldr(i);fo(i,n)g[l[i]].eb(i);fo(i,n)srt(g[i]);srt(g);g.erase(remove_if(al(g),[&](cs u1&v){rr mu(v);}),end(g));rr g;}};I<J T,cs fn<T(T,T)>&f,cs fn<T()>&e>ss sgt{ll n,A,log;v1<T>d;sgt(ll n):sgt(v1<T>(n,e())){}sgt(cs v1<T>&v):n(len(v)){log=lg2(n*2-1)-1;A=bit(log);d=v1<T>(A*2,e());fo(i,n)d[i+A]=v[i];of(i,A,1)upd(i);}ll size()cs{rr n;}vo upd(ll k){d[k]=f(d[k*2],d[k*2+1]);}vo set(ll i,T x){as(aa(0<=i,i<n));i+=A;d[i]=x;fo(j,1,log+1)upd(i>>j);}vo add(ll i,T x){as(aa(0<=i,i<n));set(i,get(i)+x);}T get(ll i)cs{as(aa(0<=i,i<n));rr d[i+A];}T aprd(){rr d[1];}T prd(ll l,ll r){as(aa(0<=l,l<=r,r<=n));T sml=e(),smr=e();l+=A,r+=A;wh(l<r){if(l&1)sml=f(sml,d[l++]);if(r&1)smr=f(d[--r],smr);l/=2,r/=2;}rr f(sml,smr);}fd os&op<<(os&o,cs sgt&s){fo(i,len(s))o<<s.get(i)<<sp;rr o;}};vo main(){ll T=1;(0)&&li(T);fo(T)solve();}vo solve(){LL(K,N);if(K==1)fin(1);ml pf=prfa(K);tww<mint>tw(N+max(vals(pf)));mint ans=1;fe(p,b,pf){mint t=0;fo(i,b+1)t+=tw.h(i,N);ans*=t;}pp(ans);}}