A zergling is sent on a dangerous journey - as part of a 4-pool build, the zergling has to run to the Protoss base to harass the mining probes.

On the way to the Protoss base, the zergling encounters some wormholes that teleport the zergling to a different space and time. The zergling comes up with an ingenious idea - if she can return to the Zerg main before she was born, then she could attack the Protoss base whenever she wanted to!

Can she?

Note that beforehand, the zergling can decide which vertex to build the Zerg main at.

#### Constraints

#### Input Specification

The first line contains an integer , the number of test cases. test cases follow.

Each test case starts with three space-separated integers, , , and .

Each of the next lines contains three space-separated integers, , , and , indicating that there is a bidirectional path connecting vertices and that take seconds to traverse.

Each of the next lines contains three space-separated integers, , , and , indicating that there is a one-way wormhole connecting vertices to that takes the zergling back seconds in the past.

#### Output Specification

For each test case, output `YES`

if it is possible for the zergling to travel back to the Zerg main before
she was born. Output `NO`

otherwise.

#### Sample Input

```
2
3 3 1
1 2 2
1 3 4
2 3 1
3 1 3
3 2 1
1 2 3
2 3 4
3 1 8
```

#### Sample Output

```
NO
YES
```

## Comments

In the first test case in the sample input, if there is a wormhole that takes the zerg from a to b but that is also is a path, would it affect the time? So would it take 1 second or -3 seconds to go from node 3 to 1?