#include<bits/stdc++.h>
#define int long long
using namespace std;
int d,ans,p[25];
int Abs(int x)
{
	return x<0?-x:x;
}
signed main()
{
	cin>>d;
	p[0]=1LL;
	for(int i=1;i<=20;i++) p[i]=p[i-1]*10LL;
	for(int i=2;i<=20;i++)
	{
		int k=i/2;
		for(int s=0;s<(1<<k);s++)
		{
			int w,x=d;
			if(i&1) w=10;
			else w=1;
			for(int j=0;j<k;j++)
			{
				int d2=Abs(x)%10LL;
				if(x<0) d2=(10-d2)%10;
				if(s&(1<<j))
				{
					int n=10LL-d2;
					if(j==0) n--;
					w*=n;
					x+=d2*p[i-2*j-1];
					x-=d2;
				}
				else
				{
					int n=d2;
					if(j==0) n--;
					if(n<0)
					{
						w=0;
						break;
					}
					w*=n;
					x-=(10LL-d2)*p[i-2*j-1];
					x+=10LL-d2;
				}
				x/=10LL;
			}
			if(!x) ans+=w;
		}
	}
	cout<<ans;
	return 0;
}
### Prompt

Construct a Cpp code solution to the problem outlined:

For a positive integer n, we denote the integer obtained by reversing the decimal notation of n (without leading zeroes) by rev(n). For example, rev(123) = 321 and rev(4000) = 4.

You are given a positive integer D. How many positive integers N satisfy rev(N) = N + D?

Constraints

* D is an integer.
* 1 ≤ D < 10^9

Input

Input is given from Standard Input in the following format:


D


Output

Print the number of the positive integers N such that rev(N) = N + D.

Examples

Input

63


Output

2


Input

75


Output

0


Input

864197532


Output

1920

### Response

```cpp
#include<bits/stdc++.h>
#define int long long
using namespace std;
int d,ans,p[25];
int Abs(int x)
{
	return x<0?-x:x;
}
signed main()
{
	cin>>d;
	p[0]=1LL;
	for(int i=1;i<=20;i++) p[i]=p[i-1]*10LL;
	for(int i=2;i<=20;i++)
	{
		int k=i/2;
		for(int s=0;s<(1<<k);s++)
		{
			int w,x=d;
			if(i&1) w=10;
			else w=1;
			for(int j=0;j<k;j++)
			{
				int d2=Abs(x)%10LL;
				if(x<0) d2=(10-d2)%10;
				if(s&(1<<j))
				{
					int n=10LL-d2;
					if(j==0) n--;
					w*=n;
					x+=d2*p[i-2*j-1];
					x-=d2;
				}
				else
				{
					int n=d2;
					if(j==0) n--;
					if(n<0)
					{
						w=0;
						break;
					}
					w*=n;
					x-=(10LL-d2)*p[i-2*j-1];
					x+=10LL-d2;
				}
				x/=10LL;
			}
			if(!x) ans+=w;
		}
	}
	cout<<ans;
	return 0;
}
```