Days left until the weekend

Problem

Students count the days to the weekend. Declare enum Day with MONDAY to SUNDAY in order. For each day, print weekend for Saturday and Sunday, otherwise how many days are left until Saturday.

Use the positions of the constants: Saturday's position minus the day's position.

Input, output and limits

Input: The first line has t. The next line has t day names in capitals.
Output: t lines: DAY: weekend, DAY: 1 day to Saturday or DAY: n days to Saturday.
Constraints: 1 ≤ t ≤ 1000
Every name is a day from MONDAY to SUNDAY

Examples

Example

Input

3
MONDAY FRIDAY SUNDAY

Output

MONDAY: 5 days to Saturday
FRIDAY: 1 day to Saturday
SUNDAY: weekend

Monday is 5 days before Saturday, Friday only 1.

Hints

Try the problem first. Open one hint at a time.

Hint 1

Day.SATURDAY.ordinal() - d.ordinal() is the number of days left.

Hint 2

Print day (no s) when the answer is 1.

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