RoAlgo Contest #8 | Mini SuperLiga

Attention — This is the easy version of the problem SuperLiga.

Task

A ranking line of the form $(M, V, E, I, P)$ — (matches, victories, draws, defeats, points) is given, this ranking line corresponding to the results of a team throughout a competitive season in a football league in Southeast Europe.

Now B.B.C, a specialist in the field, wants to know if the given configuration is valid according to football rules ($3$ points for a victory, $1$ point for a draw, $0$ points for defeats).

Input data

The first line will contain the number of tests $T$.

Each of the next $T$ lines will contain a configuration in the format described in the statement, each of the 5 positions containing a natural number representing the corresponding number for that position.

Output data

Each line will contain YES if the configuration is correct, or NO otherwise.

Constraints and clarifications

• $1 \leq T \leq 10^5$
• $0 \leq M, V, E, I, P \leq 10^6$

Example

stdin

10
11 8 1 2 25
9 4 4 3 16
5 0 5 0 5
58 28 10 20 94
10 4 0 6 12
685 684 0 1 2052 
10 4 3 3 15
10 1 3 6 5
6 0 3 3 3 
11 1 8 2 10

stdout

YES
NO
YES
YES
YES
YES
YES
NO
YES
NO

Explanation

For example, in the last test, the number of points obtained is $11$, not $10$.