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.

-----Sample Input-----
3

-----Sample Output-----
5

The five possible pairs of u and v are:
- u=0,v=0 (Let a=0,b=0, then 0 xor 0=0, 0+0=0.)
- u=0,v=2 (Let a=1,b=1, then 1 xor 1=0, 1+1=2.）
- u=1,v=1 (Let a=1,b=0, then 1 xor 0=1, 1+0=1.）
- u=2,v=2 (Let a=2,b=0, then 2 xor 0=2, 2+0=2.）
- u=3,v=3 (Let a=3,b=0, then 3 xor 0=3, 3+0=3.）

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