1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163
| #include<bits/stdc++.h> using namespace std; #define enter fout<<"\n"; #define space fout<<" "; #define dot fout<<","; #define oui fout<<"Yes\n"; #define non fout<<"No\n"; #define si fout<<"?"; #define i32 int #define u32 unsigned int #define i64 __int128 #define u64 unsigned long long #define i128 __int128 #define u128 unsigned __int128 #define debug(x) fout<<#x<<"="<<x<<"\n"; #define vdebug(a,n) fout<<#a<<"=[";for(int i=0;i<=n;++i)fout<<a[i]<<" ";fout<<"]\n"; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); namespace fastio{ const int bufl=1<<20; const double base1[16]={1,1e-1,1e-2,1e-3,1e-4,1e-5,1e-6,1e-7,1e-8,1e-9,1e-10,1e-11,1e-12,1e-13,1e-14,1e-15}; const double base2[16]={1,1e1,1e2,1e3,1e4,1e5,1e6,1e7,1e8,1e9,1e10,1e11,1e12,1e13,1e14,1e15}; struct IN{ FILE *IT;char ibuf[bufl],*is=ibuf,*it=ibuf; IN(){IT=stdin;}IN(char *a){IT=fopen(a,"r");} inline char getChar(){if(is==it){it=(is=ibuf)+fread(ibuf,1,bufl,IT);if(is==it)return EOF;}return *is++;} template<typename Temp>inline void getInt(Temp &a){a=0;int b=0,c=getChar();while(c<48||c>57)b^=(c==45),c=getChar();while(c>=48&&c<=57)a=(a<<1)+(a<<3)+c-48,c=getChar();if(b)a=-a;} template<typename Temp>inline void getDouble(Temp &a){a=0;int b=0,c=getChar(),d=0;__int128 e=0,f=0;while(c<48||c>57)b^=(c==45),c=getChar();while(c>=48&&c<=57)e=(e<<1)+(e<<3)+c-48,c=getChar();if(c==46){c=getChar();while(c>=48&&c<=57)d++,f=(f<<1)+(f<<3)+c-48,c=getChar();}a=e+base1[d]*f;if(b)a=-a;} IN& operator>>(char &a){a=getChar();while(a<=32)a=getChar();return *this;} IN& operator>>(char *a){do{*a=getChar();}while(*a<=32);while(*a>32)*++a=getChar();*a=0;return *this;} IN& operator>>(string &a){a.clear();char b=getChar();while(b<=32)b=getChar();while(b>32)a+=b,b=getChar();return *this;} IN& operator>>(int &a){getInt(a);return *this;} IN& operator>>(long long &a){getInt(a);return *this;} IN& operator>>(__int128 &a){getInt(a);return *this;} IN& operator>>(float &a){getDouble(a);return *this;} IN& operator>>(double &a){getDouble(a);return *this;} IN& operator>>(long double &a){getDouble(a);return *this;} }; struct OUT{ FILE *IT;char obuf[bufl],*os=obuf,*ot=obuf+bufl;int Eps;long double Acc; OUT(){IT=stdout,Eps=6,Acc=0.5;}OUT(char *a){IT=fopen(a,"w"),Eps=6,Acc=0.5;} inline void ChangEps(int x=6){Eps=x;} inline void flush(){fwrite(obuf,1,os-obuf,IT);os=obuf;} inline void putChar(int a){*os++=a;if(os==ot)flush();} template<typename Temp>inline void putInt(Temp a){if(a<0){putChar(45);a=-a;}if(a<10){putChar(a+48);return;}putInt(a/10);putChar(a%10+48);} template<typename Temp>inline void putLeading(Temp a,int b){if(!b)return;putLeading(a/10,b-1);putChar(a%10+48);} template<typename Temp>inline void putDouble(Temp a){if(a<0){putChar(45);a=-a;}__int128 ff=(a-(__int128)a)*base2[Eps+2],gg=0;ff+=50;while(ff>0){ff/=10;gg++;}__int128 b=a;if(gg==Eps+3){putInt(b+1);}else{putInt(b);}a-=b;a*=base2[Eps];b=a+Acc;putChar(46);putLeading(b,Eps);} OUT& operator<<(char a){putChar(a);return *this;} OUT& operator<<(const char *a){while(*a)putChar(*a++);return *this;} OUT& operator<<(string a){for(auto c:a)putChar(c);return *this;} OUT& operator<<(int a){putInt(a);return *this;} OUT& operator<<(long long a){putInt(a);return *this;} OUT& operator<<(__int128 a){putInt(a);return *this;} OUT& operator<<(unsigned int a){putInt(a);return *this;} OUT& operator<<(unsigned long long a){putInt(a);return *this;} OUT& operator<<(unsigned __int128 a){putInt(a);return *this;} OUT& operator<<(float a){putDouble(a);return *this;} OUT& operator<<(double a){putDouble(a);return *this;} OUT& operator<<(long double a){putDouble(a);return *this;} ~OUT(){flush();} }; } fastio::IN fin; fastio::OUT fout; template<typename T1,typename T2> T1 qp(T1 b,T2 po){ T1 res(1); while(po>0){ if(po&1) res=res*b; b=b*b; po>>=1; } return res; } template<typename T1,typename T2,typename T3> T1 qp(T1 b,T2 po,T3 p){ T1 res(1); while(po>0){ if(po&1) res=res*b%p; b=b*b%p; po>>=1; } return res; } const int mod=1e9+7; const int mmod=1e9+6;
i64 xormul(i64 a,i64 b){ i64 res=0; while(b>0){ if(b&1)res^=a; a<<=1; b>>=1; } return res; }
struct poly{ vector<i64>x; poly operator*(const poly& io)const{ poly res; vector<i64>tmp; for(auto i:x){ for(auto j:io.x){ tmp.push_back((i+j)%mmod); } } unordered_map<i64,int>mp; for(auto i:tmp){ mp[i]++; } for(auto i:mp){ if(i.second&1){ res.x.push_back(i.first); } } return res; } };
i64 nn;
long long n,m,res;
int main(){ nn=qp((i64)8,12)*qp((i64)12,8); vector<poly>a; i64 cnt=1; while(nn>0){ if(nn&1){ poly op; op.x.push_back(0); op.x.push_back(cnt); op.x.push_back(3*cnt); a.push_back(op); } nn>>=1; cnt<<=1; cnt%=mmod; } poly rres; rres.x.push_back(0); for(auto i:a){ rres=rres*i; } res=0; for(auto i:rres.x){ res+=qp((i64)2,i,mod); } res%=mod; fout<<res; return 0; }
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