Serena is trying to figure out who will move on to her competition's second stage. She has a list of names, their corresponding scores, and the cutoff .

A participant will advance to the second stage if and only if their score is **strictly greater than** the cutoff.

#### Input Specification

The first line contains two space-separated integers, , the number of participants, and , the cutoff.

The next lines contain a string , the name of the participant, and an integer , their score.
It is guaranteed that all are distinct, and contain only lowercase letters of the Latin alphabet.

#### Output Specification

For each of the lines, print `[s_i] will advance`

if their score is **strictly greater** the cutoff, or `[s_i] will not advance`

otherwise. Output should correspond to the order the names appear in the input.

#### Constraints

In all tests,

#### Sample Input 1

```
5 55
georgechen 24
kevinwan 42
tankibuds 56
richardzhang 1
tzak 99
```

#### Sample Output 1

```
georgechen will not advance
kevinwan will not advance
tankibuds will advance
richardzhang will not advance
tzak will advance
```

#### Sample Input 2

```
1 48
vrotherin 48
```

#### Sample Output 2

`vrotherin will not advance`

## Comments