## Comparing Combinations

You really like combinatorics, especially with really big numbers! One day, you see a few queries on Stack Overflow.

Each query is in the following form: given four integers , determine whether .

Given your interest in the subject, you can't help but answer them!

#### Input Specification

The first line contains two integers: and .

The next lines each contain four integers: and .

#### Output Specification

Print lines.

For the line, print `YES`

if , otherwise `NO`

.

#### Constraints

For all subtasks, .

Subtask | Points | Additional Constraints |
---|---|---|

No additional constraints |

#### Sample Input

```
200000 5
2 1 5 3
6 4 15 1
30 5 23 18
182935 35439 114354 69801
196004 98092 199416 97732
```

#### Sample Output

```
YES
NO
NO
NO
YES
```

#### Explaination for Sample Output

In the first query, and . In this case, the left hand side is strictly less than the right hand side (), so the answer is `YES`

.

In the second query, is not strictly less than , so the answer is `NO`

.

In the third query, is false.

## Comments