Bahadur is a peon in Poornima College of Engineering. After exam he was given a task to put tables and chairs in a single small room. A table is big enough to hold two chairs upon it; also no more items cannot be further upon them. If more than to chairs are put on table, it will break and he will face penulty. Also, he cannot put anything on top of a chair. There are C chairs and T tables. Each table and chair having 4 legs which looks exaclty similar. After putting all the tables and chairs in the room,He counted total L legs touching the ground. Your task is to find out if he has counted correct number of legs or not.
First line of the input contains an integer N denoting number of test cases. N test cases follow. The only line of each test case contains three space separated integers C, T, L denoting number of the chairs, number of the tables and number of legs of animals counted by Bahadur, respectively.
Constraints 1 ≤ N ≤ 105 0 ≤ C, T, L ≤ 109
Output Format For each test case, output a single line containing a string "yes" or "no" (both without quotes) according to the situation.
For first input, there is 1 Table 1 chair and 8 Legs. Which is possible when both are put on ground separately. So output is yes.
For second input, there is 1 Table 1 chair and 4 legs. Which is also possible if the chair is put onto the table. So output is yes.
For third input, there is 1 Table 1 chair and 2 legs. Which is not possible . So output is no.
