Pedometer Distance

Time limit1sMemory limit256 MB

Summary

Multiply each step count by the stride length and print each distance in kilometres with five decimals.

Level: Easy1 of 10
Topics: Implementation, Math
Solved: No attempts yet

Problem

A pedometer senses movement and counts steps fairly accurately. A step count alone is not a distance, so before using the device the owner measures her pace in centimetres and enters it. The pedometer multiplies the step count by the pace and shows how far she has walked.

You are given the pace and the step records of several pedometer users. Compute how far each record covers, in kilometres.

Input

The data for one user starts with the stride length $L$ , an integer in centimetres with $10 < L < 100$ . A value of $0$ ends the input and is not processed.

The next line holds $N$ , the number of records for this user, with $1 \le N \le 100$ . Then follow $N$ lines, each with the number of steps taken during one time period. Each step count is a positive integer no greater than $20000$ .

Output

For each user, first print a line of this form.

User U

$U$ is the user number. Users are numbered from $1$ in the order they appear in the input.

Then print $N$ lines. Each line holds the distance walked for one record, in kilometres, in this form.

d.ddddd

That is at least one digit before the decimal point and exactly five digits after it. The distance is a whole number of centimetres divided by $100000$ , so five digits represent it exactly and no rounding is needed.

Examples5

Example 1

Input

Expected output

User 1
6.17874
4.95320
7.13690
User 2
3.91000
3.65470

Example 2
Input
```
11
1
1
0
```
Expected output
```
User 1
0.00011
```
Example 3
Input
```
99
1
20000
0
```
Expected output
```
User 1
19.80000
```

Example 4

Input

Expected output

User 1
1.00000
1.00000
0.00050

Example 5

Input

Expected output

User 1
2.20000
User 2
0.00099
User 3
1.19988
User 4
9.80000