Goal
You have to convert an English length unit into another one.
You are given the relations needed to calculate some unit into some other unit.
Note: You might know that 1 nautic mile = 6080 feet and not 6000 feet. For the purpose of this puzzle, we removed this contradiction.
Input
Line 1: unit 1 in unit 2
Line 2: The number n of relations below
Next n lines: number unit x = number unit y
Output
number unit 1 = number unit 2
Constraints
The numbers in the relations are integers, not always ones on the left, the smallest numbers possible.
Example
Input
inch in twip
3
1 point = 20 twip
1 inch = 12 line
1 line = 6 point
Output
1 inch = 1440 twip
