| 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 |
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|
| 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 |
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