You are given a positive integer N. Find the number of the pairs of integers u and v (0≦u,v≦N) such that there exist two non-negative integers a and b satisfying a xor b=u and a+b=v. Here, xor denotes the bitwise exclusive OR. Since it can be extremely large, compute the answer modulo 10^9+7.

Constraints

* 1≦N≦10^{18}

Input

The input is given from Standard Input in the following format:


N


Output

Print the number of the possible pairs of integers u and v, modulo 10^9+7.

Examples

Input

3


Output

5


Input

1422


Output

52277


Input

1000000000000000000


Output

787014179
#include<bits/stdc++.h>
#define ll long long
using namespace std;
map<ll,ll>dp;
ll mod=1e9+7;
ll f(ll x)
{
    if(x==0)return dp[0]=1;
    else if(x==1)return dp[1]=2;
    else if(dp[x])return dp[x];
    else
    {
    return dp[x]=(f(x/2)+f((x-1)/2)+f((x-2)/2))%mod;
    }
}
int main()
{

    ll x;
    cin>>x;
    cout<<f(x)<<endl;
}
