#include using namespace std; using VS = vector; using LL = long long; using VI = vector; using VVI = vector; using PII = pair; using PLL = pair; using VL = vector; using VVL = vector; #define ALL(a) begin((a)),end((a)) #define RALL(a) (a).rbegin(), (a).rend() #define SZ(a) int((a).size()) #define SORT(c) sort(ALL((c))) #define RSORT(c) sort(RALL((c))) #define UNIQ(c) (c).erase(unique(ALL((c))), end((c))) #define FOR(i, s, e) for (int(i) = (s); (i) < (e); (i)++) #define FORR(i, s, e) for (int(i) = (s); (i) > (e); (i)--) //#pragma GCC optimize ("-O3") #ifdef YANG33 #include "mydebug.hpp" #else #define DD(x) #endif const int INF = 1e9; const LL LINF = 1e16; const LL MOD = 1000000007; const double PI = acos(-1.0); int DX[8] = { 0, 0, 1, -1, 1, 1, -1, -1 }; int DY[8] = { 1, -1, 0, 0, 1, -1, 1, -1 }; /* ----- 2019/03/04 Problem: yukicoder 737 / Link: http://yukicoder.me/problems/no/737 ----- */ template <::std::uint_fast32_t MODULO> class modint { public: using uint32 = ::std::uint_fast32_t; using uint64 = ::std::uint_fast64_t; using value_type = uint32; uint32 a; modint() noexcept : a(0) {}modint(const uint32 x) noexcept : a(x) {}modint operator+(const modint &o) const noexcept { return a + o.a < MODULO ? modint(a + o.a) : modint(a + o.a - MODULO); }modint operator-(const modint &o) const noexcept { return modint(a < o.a ? a + MODULO - o.a : a - o.a); }modint operator*(const modint &o) const noexcept { return modint(static_cast(a) * o.a % MODULO); }modint operator/(const modint &o) const { return modint(static_cast(a) * (~o).a % MODULO); }modint &operator+=(const modint &o) noexcept { return *this = *this + o; }modint &operator-=(const modint &o) noexcept { return *this = *this - o; }modint &operator*=(const modint &o) noexcept { return *this = *this * o; }modint &operator/=(const modint &o) { return *this = *this / o; }modint operator~() const noexcept { return pow(MODULO - 2); }modint operator-() const noexcept { return a ? modint(MODULO - a) : *this; }modint operator++() noexcept { return a == MODULO - 1 ? a = 0 : ++a, *this; }modint operator--() noexcept { return a ? --a : a = MODULO - 1, *this; }bool operator==(const modint &o) const noexcept { return a == o.a; }bool operator!=(const modint &o) const noexcept { return a != o.a; }bool operator<(const modint &o) const noexcept { return a < o.a; }bool operator<=(const modint &o) const noexcept { return a <= o.a; }bool operator>(const modint &o) const noexcept { return a > o.a; }bool operator>=(const modint &o) const noexcept { return a >= o.a; }explicit operator bool() const noexcept { return a; }explicit operator uint32() const noexcept { return a; }modint pow(uint32 x) const noexcept { uint64 t = a, u = 1; while (x) { if (x & 1)u = u * t % MODULO; t = (t * t) % MODULO; x >>= 1; } return modint(u); } uint32 get() const noexcept { return a; } }; using mint = modint; using PMM = pair; const PMM ee = PMM(-1, 0); const mint two = 2; PMM dp[62][62][2]; PMM f(const string&s, int id, int leftcnt, bool less) { if (leftcnt < 0)return PMM(0, 0); if (id < 0) { return PMM(leftcnt == 0, 0); } if (dp[id][leftcnt][less] != ee)return dp[id][leftcnt][less]; PMM res = PMM(0, 0); int Max = less ? 1 : s[id] - '0'; FOR(nx, 0, Max + 1) { PMM a = f(s, id - 1, leftcnt - (nx == 1), less || (nx < Max)); res.first += a.first; // 場合の数 res.second += (two.pow(id)*nx)*a.first + a.second; } return dp[id][leftcnt][less] = res; } string to_binString(LL val) { string str; while (val != 0) { if ((val & 1) == 0) str += "0"; else str += "1"; val >>= 1; } reverse(str.begin(), str.end()); return str; } int main() { cin.tie(0); ios_base::sync_with_stdio(false); fill(**dp, **dp + 62 * 62 * 2, ee); LL N; cin >> N; string s = to_binString(N); reverse(ALL(s)); DD(de(s)); mint ans = 0; FOR(i, 1, 62) { ans += f(s, SZ(s) - 1, i, 0).second * mint(i); } cout << (ans.get()) << "\n"; return 0; }