| 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 | |