#include using namespace std; typedef long long signed int LL; typedef long long unsigned int LU; #define incID(i, l, r) for(int i = (l) ; i < (r); i++) #define incII(i, l, r) for(int i = (l) ; i <= (r); i++) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--) #define decII(i, l, r) for(int i = (r) ; i >= (l); i--) #define inc(i, n) incID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec(i, n) decID(i, 0, n) #define dec1(i, n) decII(i, 1, n) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define PQ priority_queue #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define FOR(it, v) for(auto it = v.begin(); it != v.end(); ++it) #define RFOR(it, v) for(auto it = v.rbegin(); it != v.rend(); ++it) template bool setmin(T & a, T b) { if(b < a) { a = b; return true; } else { return false; } } template bool setmax(T & a, T b) { if(b > a) { a = b; return true; } else { return false; } } template bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } } template bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } } template T gcd(T a, T b) { return (b == 0 ? a : gcd(b, a % b)); } template T lcm(T a, T b) { return a / gcd(a, b) * b; } // ---- ---- LL MOD = -1; LL mod(LL x, LL m = MOD) { return (x % m + m) % m; } pair ex_gcd(LL a, LL b) { if(b == 0) { return MP(1, 0); } auto p = ex_gcd(b, a % b); return MP(p.SE, p.FI - (a / b) * p.SE); } LL inv(LL x, LL m = MOD) { assert(gcd(x, m) == 1); auto p = ex_gcd(x, m); return mod(p.FI, m); } LL promod(LL x, LL y, LL m = MOD) { return mod((x % m) * (y % m), m); } LL divmod(LL x, LL y, LL m = MOD) { return promod(x, inv(y, m), m); } // ---- #define bit(b, i) (((b) >> (i)) & 1) LL n, dp[61][2][2][2][2]; int main() { MOD = 1e9 + 7; cin >> n; dp[60][1][1][0][0] = 1; dec(i, 60) { inc(v, 2) { inc(w, 2) { inc(x, 2) { inc(y, 2) { if(x == 1 && y == 1) { continue; } inc(vv, 2) { inc(ww, 2) { inc(xx, 2) { inc(yy, 2) { if(xx == 1 && yy == 1) { continue; } if(v == 0 && vv == 1) { continue; } if(w == 0 && ww == 1) { continue; } if(v == 1 && bit(n, i) < xx) { continue; } if(w == 1 && bit(n, i) < yy) { continue; } if(v == 1 && bit(n, i) > xx && vv == 1) { continue; } if(w == 1 && bit(n, i) > yy && ww == 1) { continue; } if(v == 1 && bit(n, i) == xx && vv == 0) { continue; } if(w == 1 && bit(n, i) == yy && ww == 0) { continue; } (dp[i][vv][ww][xx][yy] += dp[i + 1][v][w][x][y]) %= MOD; } } } } } } } } } LL s = 0; inc(i, 60) { LL u = 1; if(n + 1 >= (1LL << (i + 1))) { inc(j, 2 * i + 1) { (u *= 2) %= MOD; } (s += u) %= MOD; } else { u = (n + 1 - (1LL << i)) % MOD; inc(j, i + 1) { (u *= 2) %= MOD; } (s += u) %= MOD; break; } } (s += 1) %= MOD; LL t = 0; inc(v, 2) { inc(w, 2) { inc(x, 2) { inc(y, 2) { (t += dp[0][v][w][x][y]) %= MOD; } } } } // cout << "s, t: " << s << " " << t << endl; cout << divmod(s - t, 2) << endl; /* int g = 0, h = 0; incII(i, 0, n) { incII(j, 0, n) { if(i < j) { g++; } if((i & j) == 0) { h++; } } } cout << "g: " << g << endl; cout << "h: " << h << endl; */ return 0; }