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>

using namespace std;
#define X first
#define Y second
typedef long long ll;
typedef pair<int,int> P;
const int MOD=1e9+7;
map<ll,ll> dp;ll n;

ll dfs(ll x)
{
	if(dp.count(x)) return dp[x];
	return dp[x]=(dfs(x>>1)+dfs((x-1)>>1)+dfs((x-2)>>1))%MOD;
}

int main()
{
	scanf("%lld",&n);
	dp[0]=1;dp[1]=2;
	printf("%lld",dfs(n));
	return 0;
}