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## J. Electronic Auction

Time limit: 0.5 second
Memory limit: 64 MB
There is a deficit in cast-iron pigs in the country. They are sold at an electronic auction. Customers make their bids: announce a price at which they are ready to buy a pig. From time to time a seller puts up for sale К pigs at a price of X bibriks each. The first К customers who offered the same or higher price get one pig each.
Customers may cancel their bids (after a purchase a bid remains valid until it is canceled). Only bids made in a current month are valid, so each month a customer should renew his bid. If a seller did not sell all the pigs offered for sale, then the unsold pigs remain at his storehouse and don’t participate in the auction any more.
Each sold cast-iron pig makes a profit of 0.01 bibriks for the auction. Having a month's log of auction operations, you are to calculate the profit of the auction in this month.

### Input

The input contains a month's operations log, one operation per line. There are three types of operations:
• “BID X” — a customer announces that he is ready to buy a pig at a price of X bibriks;
• “DEL X” — a customer cancels his bid for a pig at a price of X bibriks;
• “SALE X K” — a seller puts up for sale К pigs at a price of X bibriks.
X is between 0.01 and 10000.00 bibriks and has at most 2 digits after the decimal point. K is an integer between 1 and 100000. The number of operations does not exceed 100000. All operations are correct. The last line contains the word “QUIT”.

### Output

Output the profit of the auction in the current month with 2 digits after the decimal point.

### Sample

inputoutput
```BID 0.01
BID 10000
BID 5000
BID 5000
SALE 7000 3
DEL 5000
SALE 3000 3
SALE 0.01 3
QUIT```
`0.06`
Problem Author: Idea - Pavel Atnashev, prepared by Pavel Atnashev, Pavel Egorov
Problem Source: VIII Collegiate Students Urals Programming Contest. Yekaterinburg, March 11-16, 2004
To submit the solution for this problem go to the Problem set: 1316. Electronic Auction