#include<cstdio>
using namespace std;
typedef long long ll;
ll a,b,c;
int main()
{
	scanf("%lld%lld%lld",&a,&b,&c);
	if(c-a-b>0&&(c-a-b)*(c-a-b)>4ll*a*b)printf("Yes\n");
	else printf("No\n");
	return 0;
}
### Prompt

Please create a solution in cpp to the following problem:

Does \sqrt{a} + \sqrt{b} < \sqrt{c} hold?

Constraints

* 1 \leq a, b, c \leq 10^9
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


a \ b \ c


Output

If \sqrt{a} + \sqrt{b} < \sqrt{c}, print `Yes`; otherwise, print `No`.

Examples

Input

2 3 9


Output

No


Input

2 3 10


Output

Yes

### Response

```cpp
#include<cstdio>
using namespace std;
typedef long long ll;
ll a,b,c;
int main()
{
	scanf("%lld%lld%lld",&a,&b,&c);
	if(c-a-b>0&&(c-a-b)*(c-a-b)>4ll*a*b)printf("Yes\n");
	else printf("No\n");
	return 0;
}
```