Question

Exams

2 10 12

Yes

The total number of students appeared were 2*10=20. The number of students passed were

12. Thus, number of students who passed are 60%, which is strictly greater than 50%.

In a City, there are X schools, and each school has Y students.In the end of a year total of Z students passed the exams. Assuming that all students appeared for the exams, find whether the number of students who passed in City was **strictly greater** than 50%.

Input

The only line of input contains three space separated integers X, Y and Z denoting the number of schools, number of students and number of students passed the exams respectively.

1 ≤ X ≤ 5

1 ≤ Y ≤ 50

0 ≤ Z ≤ X*Y

**Constraints**1 ≤ X ≤ 5

1 ≤ Y ≤ 50

0 ≤ Z ≤ X*Y

Output

Return "Yes" if the total number of students who passed in a city was strictly greater than 50%, otherwise return "No".

Example

**Sample Input:**

2 10 12

**Sample Output:**

Yes

**Explanation**

The total number of students appeared were 2*10=20. The number of students passed were

12. Thus, number of students who passed are 60%, which is strictly greater than 50%.