#include #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto &i:a) #define all(x) (x).begin(),(x).end() #pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } return ModInt(u); } bool operator==(ModInt that) const { return x == that.x; } bool operator!=(ModInt that) const { return x != that.x; } ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; } }; template ostream& operator<<(ostream& st, const ModInt a) { st << a.get(); return st; }; template ModInt operator^(ModInt a, unsigned long long k) { ModInt r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; } typedef ModInt<1000000007> mint; /*---------------------------------------------------------------------------------------------------             ∧_∧       ∧_∧  (´<_` )  Welcome to My Coding Space!      ( ´_ゝ`) /  ⌒i     /   \    | |     /   / ̄ ̄ ̄ ̄/  |   __(__ニつ/  _/ .| .|____      \/____/ (u ⊃ ---------------------------------------------------------------------------------------------------*/ ll N; string B; int NB; mint comb[61][62][2]; mint sum[61][62][2]; //--------------------------------------------------------------------------------------------------- string to_binary(ll N, int digit = 0) { string res = ""; while (N) { if (N & 1) res = "1" + res; else res = "0" + res; N >>= 1; } if (0 < digit) { int n = digit - res.length(); rep(i, 0, n) res = "0" + res; } return res; } //--------------------------------------------------------------------------------------------------- void _main() { cin >> N; B = to_binary(N); NB = B.length(); comb[0][0][0] = 1; sum[0][0][0] = 0; rep(dgt, 0, NB) rep(tot, 0, NB + 1) rep(isless, 0, 2) { int c = B[dgt] - '0'; rep(nxt, 0, 2) { if (isless == 0 and c < nxt) continue; int isless2 = isless; if (nxt < c) isless2 = 1; comb[dgt + 1][tot + nxt][isless2] += comb[dgt][tot][isless]; sum[dgt + 1][tot + nxt][isless2] += sum[dgt][tot][isless] * 2 + comb[dgt][tot][isless] * nxt; } } mint ans = 0; rep(tot, 0, NB + 2) rep(isless, 0, 2) ans += sum[NB][tot][isless] * tot; cout << ans << endl; }