The rules for calculating the taxi fares are quite complex. Many factors are to be considered in computing the taxi fares, including the length of the trip, the time of the day, the speed, etc. Every morning Bianca Bennett uses taxi to get to her office, she thinks if taximeters are programmed correctly. One day, she decided to write a program to calculate the taxi fares to check this.
Imagine a taxi passes through a sequence of streets S1, S2, ..., Sn in order. The length of Si is Li and it is assumed that the taxi travels in a constant speed and it takes Mi minutes to travel one kilometer in Si. To make it simple, assume the passenger gets in at the start of a street Si and gets out at the end of the destination street Sj (i.e., he does not get in or out in the middle of a street). The passenger is charged for each kilometer of the trip. The first ten kilometers of the trip cost 1000 Rials each. The next 20 kilometers (from 11 to 30) cost 250 Rials each. After that, each kilometer costs 100 Rials.
During the night, the fare is increased by 20%. The rule is that for each kilometer, if the taxi travels at least one minute during the time interval [12 AM, 6 AM], that kilometer will cost 20% more. Since driving in a heavy traffic costs more, if the average speed of the taxi is less than 30 km/h during the whole trip, the fare is increased by 10%.