MCPT is selling MCP Tea! They want to determine their total revenue if they set the price to . It is also known that the quantity of products sold is related to the price by the linear equation , where are integers. In addition, MCPT knows that the revenue for a price is given by .

MCPT wishes to know for different prices whether the price belongs to the part of the demand curve that is *elastic* or *inelastic*. A price belongs to the *inelastic* part **if there exists a such that and **, otherwise it is *elastic*. Can you help MCPT?

#### Input Specification

The first line will contain 4 integers .

The next lines will contain an integer .

It is guaranteed that and will not **BOTH** be zero.

#### Output Specification

On each line output `elastic`

or `inelastic`

if price belongs to the elastic or inelastic part of the curve.

#### Sample Input

```
4 1 1 5
1
2
3
4
```

#### Sample Output

```
inelastic
inelastic
elastic
elastic
```

## Comments