#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define REP(i,a,n) for(int i=(a); i<(int)(n); i++) #define rep(i,n) REP(i,0,n) #define FOR(it,c) for(__typeof((c).begin()) it=(c).begin(); it!=(c).end(); ++it) #define ALLOF(c) (c).begin(), (c).end() #define MOD 1004535809LL typedef long long ll; typedef unsigned long long ull; class Bignum{ public: Bignum(){} Bignum(string s){ for(int i=0;i=0;i--){ if(d[i]!=0) break; d.pop_back(); } return *this; } int operator[](int i){ return i>=d.size()?0:d[i]; } int size(){ return normalize(),d.size(); } void toZero(){ d.clear(); d.push_front(0); } void toOne(){ d.clear(); d.push_front(1); } Bignum &inc(){ Bignum one("1"); return operator+=(one); } Bignum &operator+=(Bignum n){ int l=max(size(),n.size()); d.resize(l+1,0); for(int c=0,i=0;i<=l;i++) d[i]=(c=d[i]+n[i]+c/10)%10; return normalize(); } Bignum &operator-=(Bignum n){ //assert(size()>=n.size()); for(int c=0,i=0;i=0;i--) d[i]=(c=c%n*10+d[i])/n; return c%n; } Bignum &operator<<=(int n){ for(int i=0;i(Bignum n){ if(size()!=n.size()) return size()>n.size(); for(int i=size()-1;i>=0;i--) if(d[i]!=n[i]) return d[i]>n[i]; return false; } deque d; }; pair ldiv(Bignum a, Bignum b) { Bignum ret; for(int i=a.size()-1;i>=0;i--){ int n; for(n=1;n<10;n++) if(((b*n)<a) break; a-=(b*(n-1))< dec2bin(const string& N){ vector v; Bignum a(N); Bignum zero("0"); while(!(a == zero)){ pair res = ldiv(a,Bignum("2")); if(res.second == zero){ v.push_back(0); }else{ v.push_back(1); } a = res.first; } reverse(ALLOF(v)); return v; } vector calc(const vector& w, const vector& w2){ vector x, x2; x.push_back(0); x2.push_back(0); rep(i,w.size()) x.push_back(w[i]); rep(i,w2.size()) x2.push_back(w2[i]); rep(i,x2.size()){ if(x2[i] == 0) x2[i] = 1; else x2[i] = 0; } int c = 1; for(int i=x2.size()-1; i>=0; i--){ if(x2[i]+c+x[i] == 0){ x2[i] = 0; } else if(x2[i]+c+x[i] == 1){ x2[i] = 1; c = 0; } else if(x2[i]+c+x[i] == 2){ x2[i] = 0; c = 1; } else if(x2[i]+c+x[i] == 3){ x2[i] = 1; c = 1; } } return x2; } int main(){ ios::sync_with_stdio(false); string N; cin >> N; vector v = dec2bin(N); vector w = v, y(v.size()+1, 0), w2(v.size()+1, 0); w.push_back(0); int cnt = 0; REP(i,1,y.size()){ cnt += v[i-1]; y[i] = cnt; } int c = 0; for(int i=y.size()-1; i>0; i--){ w2[i] = (y[i]+c)%2; c = (y[i]+c)/2; } if(c == 1){ w2[0] = 1; } vector res = calc(w, w2); c = 0; ll ret = 0; ll p = 1; for(int i=res.size()-1; i>=0; i--){ if(res[i] == 1){ ret += p; ret %= MOD; } p *= 2; p %= MOD; } cout << ret << endl; return 0; }