#include using namespace std; using Int = __int128_t; Int abs128(Int val){return val<0?-val:val;} ostream &operator<<(ostream &os,Int val){ if(ostream::sentry(os)){ __uint128_t tmp=abs128(val); char buf[64]; char *d=end(buf); do{ --d; *d=char(tmp%10+'0'); tmp/=10; }while(tmp); if(val<0) *--d='-'; Int len=end(buf)-d; if(os.rdbuf()->sputn(d,len)!=len){ os.setstate(ios_base::badbit); } } return os; } istream &operator>>(istream &is,Int &val){ string s; is>>s; val=0; for(Int i=0;i<(Int)s.size();i++) if(isdigit(s[i])) val=val*10+s[i]-'0'; if(s[0]=='-') val*=-1; return is; } #define MOD 1000000007 #define MAX_P 200005 Int fact[MAX_P],inv[MAX_P],finv[MAX_P];; Int extgcd(Int a,Int b,Int& x,Int& y){ Int d=a; if(b!=0){ d=extgcd(b,a%b,y,x); y-=(a/b)*x; }else{ x=1;y=0; } return d; } Int mod_inverse(Int a,Int mod){ Int x,y; extgcd(a,mod,x,y); return (mod+x%mod)%mod; } Int mod_pow(Int x,Int n,Int mod){ Int res=1; while(n){ if(n&1) (res*=x)%=mod; (x*=x)%=mod; n>>=1; } return res; } Int mod_inverse2(Int a,Int mod){ return mod_pow(a,mod-2,mod); } void init(Int mod){ fact[0]=1; for(Int i=1;ie2+e3) return 0; return a1*mod_inverse(a2*a3%mod,mod)%mod; } Int mod_comb2(Int n,Int k,Int mod){ Int res=1; for(Int i=0;in) return 0; return fact[n]*finv[k]%mod*finv[n-k]%mod; } Int montmort(Int n,Int mod){ Int res=0,inv=1; for(Int k=2;k<=n;k++){ (inv*=mod_inverse(k,mod))%=mod; if(k%2) (res+=mod-inv)%=mod; else (res+=inv)%=mod; } for(Int i=1;i<=n;i++) (res*=i)%=mod; return res; } // calculate P(t) from given points in [0,N] Int LagrangePolynomial(vector &y,Int t,const Int mod){ init(mod); Int n=y.size()-1; Int num=1; for(Int i=0;i<=n;i++) num=num*((t-i)%mod)%mod; Int res=0; for(Int i=0;i<=n;i++){ Int tmp=(y[i]*num%mod)*mod_inverse((t-i)%mod,mod)%mod; tmp=tmp*finv[i]%mod; tmp=tmp*finv[n-i]%mod; if((n-i)&1) tmp=mod-tmp; res=(res+tmp)%mod; } return res; } //INSERT ABOVE HERE Int sum(Int a,Int d,Int n){ a%=MOD;d%=MOD;n%=MOD; return (a*n+d*n*(n-1)*mod_inverse(2,MOD))%MOD; } signed main(){ Int n; cin>>n; Int ans=0; for(Int k=1;k<=n;k<<=1){ Int x=sum(k,1,k); Int y=(n+1)/(k<<1); ans+=sum(x,(k<<1)*k,y); ans%=MOD; Int z=(n+1)/k*k; if((z/k)&1){ ans+=sum(z,1,n-z+1); ans%=MOD; } } cout<