#pragma GCC target("avx") //#pragma GCC target("avx512f,avx512dq,avx512cd,avx512bw,avx512vl") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include using namespace std; #define LL long long #define DB double #define ST string #define BS bitset #define PA pair #define VE vector #define VL vector #define VP vector> #define VVL vector> #define PQ priority_queue #define PQS priority_queue,greater> #define PB push_back #define POB pop_back #define PF push_front #define POF pop_front #define EB emplace_back #define MP make_pair #define TS to_string #define TU to_ullong #define BPL __builtin_popcountll #define FOR(i,a,n) for(i=a;i=a;i--) #define rep(i,n) FOR(i,0,n) #define repr(i,n) FORR(i,0,n) #define ALL(a) a.begin(),a.end() #define RALL(a) a.rbegin(),a.rend() #define SORT(a) sort(ALL(a)) #define REV(a) reverse(ALL(a)) #define UB(a,n) *upper_bound(ALL(a),n) #define LB(a,n) *lower_bound(ALL(a),n) #define INF 1145141919810364364 #define PI 3.14159265358979 #define MOD 1000000007 //#define MOD 998244353 #define ERR 0.00000001 #define NUM 200010 #define FAST cin.tie(0);ios::sync_with_stdio(false) void Yn(LL a){if(a)printf("Yes\n");else printf("No\n");} void YN(LL a){if(a)printf("YES\n");else printf("NO\n");} LL pwmn(LL a,LL n){LL ans=1;while(ans1){md=(mx+mn)/2;if(v[md]*(LL*)b)return 1;if(*(LL*)a<*(LL*)b)return -1;return 0;} int lcmpr(const void* a,const void* b){if(*(LL*)a>*(LL*)b)return -1;if(*(LL*)a<*(LL*)b)return 1;return 0;} int ccmp(const void* a,const void* b){return *(char*)a-*(char*)b;} int ccmpr(const void* a,const void* b){return *(char*)b-*(char*)a;} int scmp(const void* a,const void* b){return strcmp((char*)a,(char*)b);} int scmpr(const void* a,const void* b){return strcmp((char*)b,(char*)a);} LL cmod(LL a,LL m){if(a%m<0)return a%m+abs(m);else return a%m;} LL DIV(LL a,LL d,LL m){LL l=m,x=1,y=0,k;while(l){k=d/l;d-=k*l;swap(l,d);x-=k*y;swap(x,y);}return cmod(a*cmod(x,m),m);} LL POW(LL a,LL n,LL m){LL ans=1;while(n>0){if(n&1)ans=ans*a%m;a=a*a%m;n>>=1;}return ans;} LL fact[NUM],finv[NUM],inv[NUM]; void comi(){LL i;fact[0]=fact[1]=1;finv[0]=finv[1]=1;inv[1]=1;FOR(i,2,NUM){fact[i]=fact[i-1]*i%MOD;inv[i]=MOD-inv[MOD%i]*(MOD/i)%MOD;finv[i]=finv[i-1]*inv[i]%MOD;}} LL com(LL n,LL k){if(n a,pair b){if(a.second!=b.second)return a.secondbool chmax(T &a,T b){if(abool chmin(T &a,T b){if(a>b){a=b;return true;}return false;} templatestruct NTT{ int getmod()const{return mod;}; void ntt(VL &f,int inv){int n=f.size(),i=0,j,k,r=(int)POW(root,(mod-1)/n,mod);LL a,b,x,z;if(inv==-1)r=(int)DIV(1,r,mod);FOR(j,1,n-1){for(k=n>>1;k>(i^=k);k>>=1);if(j=mod)f[k]-=mod;if(f[k+i]<0)f[k+i]+=mod;}x=x*z%mod;}}} VL conv(VL f,VL g){int s=f.size()+g.size(),n=pwmn(s,2),d=DIV(1,n,mod),i;f.resize(n);g.resize(n);ntt(f,1);ntt(g,1);rep(i,n)f[i]*=g[i],f[i]%=mod;ntt(f,-1);rep(i,n)f[i]*=d,f[i]%=mod;f.resize(s-1);return f;} }; VL AMC(VL f,VL g,int m){NTT<167772161,3> n1;NTT<469762049,3> n2;NTT<1224736769,3> n3;for(auto &i:f)i%=m;for(auto &i:g)i%=m;VL p=n1.conv(f,g),q=n2.conv(f,g),r=n3.conv(f,g),ret(p.size());int i;LL t1,t2,x,m1=n1.getmod(),m2=n2.getmod(),m3=n3.getmod();LL i1_2=DIV(1,m1,m2),i12_3=DIV(1,m1*m2,m3),m12_m=m1*m2%m;rep(i,p.size()){t1=(q[i]-p[i])*i1_2%m2;if(t1<0)t1+=m2;t2=(r[i]-(p[i]+m1*t1)%m3)*i12_3%m3;if(t2<0)t2+=m3;x=(p[i]+m1*t1+m12_m*t2)%m;ret[i]=x;}return ret;} template struct FAC{ LL sq,sqi,fac;VL inv; FAC(LL n){if(n<=0){fac=1;return;}if(n>=mod){fac=0;return;}LL i,a;sq=sqrt(n),sqi=DIV(1,sq,mod),fac=1;inv.PB(1);rep(i,sq){a=inv[i]*DIV(1,i+1,mod)%mod;inv.PB(a);}VL v=calc(sq);rep(i,sq)(fac*=v[i])%=mod;FOR(i,sq*sq+1,n+1)(fac*=i)%=mod;} VL fac_sh(VL f,LL d){LL i,a,n=f.size(),s=n*2-1,m=d*sqi%mod,k=n-1,z=-1,fl=0;VL b=f,g(s);rep(i,n){a=inv[i]*inv[k-i]%mod;if((k-i)&1)a=-a+mod;(f[i]*=a)%=mod;}rep(i,s){g[i]=m-k+i;if(g[i]==0)g[i]=1,z=i;if(g[i]<0)g[i]+=mod;}rep(i,s-1)(g[i+1]*=g[i])%=mod;a=DIV(1,g[s-1],mod);repr(i,s-1){g[i+1]=(a*g[i])%mod;if(m-k+i+1==0)continue;(a*=(m-k+i+1))%=mod;if(a<0)a+=mod;} g[0]=a;if(z>=0)g[z]=0;VL h=AMC(f,g,mod);h=VL(h.begin()+k,h.begin()+n+k);a=1;repr(i,n){if(m-i==0){fl=1;continue;}(a*=m-i)%=mod;if(a<0)a+=mod;}rep(i,n){if(fl)h[i]=b[i+k-z];else (h[i]*=a)%=mod;if(m+i+1==0)(a*=g[i])%=mod,fl=1;else if(g[i]==0)(a*=(m+i+1))%=mod,fl=0;else (a*=(g[i]*(m+i+1))%mod)%=mod;if(a<0)a+=mod;}return h;} VL calc(LL n){if(n==1)return {1,1+sq};LL a=1,i,d=n>>1;VL v=calc(d),v1=fac_sh(v,d),v2=fac_sh(v,d*sq),v3=fac_sh(v,d*sq+d);rep(i,d+1)(v[i]*=v1[i])%=mod;rep(i,d)v.PB(v2[i+1]*v3[i+1]%mod);if(n&1){rep(i,n){(v[i]*=(n+sq*i)%mod)%=mod;(a*=(n*sq+i+1)%mod)%=mod;}v.PB(a);}return v;} }; int main(){ FAST; LL n; cin>>n; FAC f(n); cout<