Alex's New Year's resolution for 2015 is to eat healthier foods. He's done
some research and has found out that calories come from three main sources,
called macronutrients: protein, carbohydrates, and fat. Alex wants to get the
right balance of protein, carbohydrates, and fat to have a balanced diet. For
each available food, Alex can only choose to eat it or not eat it. He can't
eat a certain food more than once, and he can't eat a fractional amount of a
food.

### Input

Input begins with an integer **T**, the number of test cases. For each test
case, the first line consists of three space-separated integers: **GP**,
**GC**, and **GF**, which represent the amount of protein, carbohydrates, and
fat that Alex wants to eat. The next line has the number of foods for that
test case, an integer **N**. The next **N** lines each consist of three space-
separated integers: **P**, **C**, and **F**, which represent the amount of
protein, carbohydrates, and fat in that food, respectively.

### Output

For each test case _i_, print a line containing "Case #_i_: " followed by
either "yes" if it is possible for Alex to eat the exact amount of each
macronutrient, or "no" if it is not possible.

### Constraints

1 ≤ **T** ≤ 20  
1 ≤ **N** ≤ 20  
10 ≤ **GP**, **GC**, **GF** ≤ 1000  
10 ≤ **P**, **C**, **F** ≤ 1000