ࡱ> @ ՜bjbjFF YG,,QS000Daaa8$bbDHc:ccccee ebdddddd$Rd90jiae@ejijiccooojilc0cbojiboo,0c Each job is on its own line. Billing Method is either TM or CONTRACT, and Billing Amount is the hourly rate if the job is TM, or the contract amount if the job is Contract. The second input file details how many hours are worked on each project. It is formatted as follows: Note that this file contains hours worked for BOTH TM and Contract jobs. Output A list of jobs with the amount that the company should bill for each. If the job is TM, you must calculate the number of hours worked times the hourly rate for that job. If the job is contract, the billing amount is just the billing amount specified in the file. If the job is a contract job, you must determine if the company wouldve made more (and how much more) money billing the job as hourly. To do this, take the AVERAGE of the hourly rates for the TM jobs, and multiply it by the hours worked on the contract job. Display an appropriate message for each contract job. Sample input jobs.txt hours.txt Sample input file (jobs.txt) 1 CONTRACT 1000 2 TM 75 3 CONTRACT 2745 4 TM 50 5 CONTRACT 320 Sample input file (hours.txt) 1 10 2 30 3 45 4 27 5 2 Sample output 1 1000 2 2250 3 6650 WOULD HAVE MADE 67.50 MORE 4 1350 5 320 Problem 6 Playfairs Cipher You will consider a Ciphering code that was clever for its time, but is considered easy to crack with modern techniques using a computer. The method is known as Playfair's Cipher (after Baron Lyon Playfair, British scientist, 1818-1898). This method requires that the number of characters in the "alphabet" be a perfect square. You will use an 81 (9 x 9) character set for this problem; in order, you will use: the 26 letters of the English alphabet in upper case then in lower case the ten digits (starting from zero) the various keyboard characters: space apostrophe ( left parenthesis ) right parenthesis * asterisk + plus sign , comma - hyphen . period / slash : colon ; semicolon < less than sign = equal sign > greater than sign [ left square bracket ] right square bracket ^ caret ? question mark Note that this ordering does not conform to the order of the characters in the ASCII character set. All other characters (tab, left curly brace {, the non-printable ASCII characters, etc.) will be regarded as errors in the input. Because of the way we process the input lines, we need not consider the carriage return in the input text stream. The information needed (the input to your program) to encode or decode a message is: 1. whether to encode or decode, 2. a secret code word, and 3. the message to encode or decode. The secret code word is any string of characters in the" alphabet." As an example (excluding the leading spaces, and including the internal spaces and the period): Cryptography Is Fun. The secret code word is used to make up a square table as follows: The "letters" of the code word are placed in a square table of the correct size in a row-by-row manner. When a letter is repeated, it is ignored in the construction of the table. After the secret code word is used up, all the letters in the alphabet that were not used are placed in order in the remaining spaces of the table. For the code word given, the table produced is given in the following table: CrypTogahIsFUn.ABDEGHJKLMNOPQRSTUVWXYZbCdefijklmQvwxz0123456789'()*+,-/:;<=>[]^? Playfair's Cipher encodes messages by taking letters of the message two at a time (I1 and I2) and outputting two characters (01 and 02) to take their place. There are four rules governing this translation process: If I1 and I2 are found at two corners of a rectangle, for example f ands, then 01 and 02 are the other two corners, Z and A. If the two input characters, I1 and I2, are in the same row, the two output characters are the characters to their immediate right. If the input character is on the right edge of a row, the character on the same row on the left edge is used. If the two input characters are in the same column, then the two output characters are the characters directly below the input characters, where the top row is considered to be below the bottom row if the input character is on the bottom row. Two consecutive identical characters (i.e., their positions are odd/even) are not allowed. As an example, the message (with no leading or trailing blanks): Computers Are Fun? becomes encoded, using our previous secret code word, as: rg3FJuYgFIIaX.unB[ Decoding is just the reverse of encoding. One problem is that a message might have an odd number of characters. We will solve this problem by having the program insert an extra blank character at the end of a line with an odd number of characters for which the last character is not a blank (to conform with rule 4). If the line has an odd number of characters and the last character is a blank, then this last blank character should be ignored. Input Three arguments will be given to your program. They will be: [encode/decode], [code word], and [message]. Output Output should be the encoded/decoded message. Sample input encode Cryptography Is Fun. Computers Are Fun? Sample output rg3FJuYgFIIaX.unB[ Problem 7 Combinations Generate all the r-combinations with repetitions that can be made with n objects, {1n}. An r-combination with repetition is a group of r objects from the given n in which: Each object is a number between 1 and n. Multiple instances of the same number can occur. Example: for r = 4, n = 4 1112 1234 2222 4444 2334 ... Note: the order does not matter, 1112 is equivalent to 2111. Input The input will be the single pair r and n. Output The output should consist of two things. First, a file containing the all of the r-combinations, with no repeating combinations (note: 1112 and 2111 are considered repeating). Second, your program should print the number of unique r-combinations generated. Sample input 2 2 Sample output 4 Sample output file (output.txt) 11 12 21 22 Problem 8 Gangs A Police captain knows well all the outlaw persons of his city, as well as every possible collaboration among them. He would like to find the maximum gang of the city. In this case, a gang is a subset of outlaw persons so that any person in it collaborates with all others in the subset. Maximum gang means that there exists no other gang with greater cardinality. Input Input will consist of a file with the following structure: a(1,1) a(2,1)a(2,2) a(3,1)a(3,2)a(3,3) a(n,1)a(n,2)a(n,3)a(n,n) where a(i,j)=1, if person i is collaborating with person j or i=j, and a(i,j)=0, otherwise. Output Create a program capable of accepting the police captain's data (with a total number of outlaw persons less than 41) and outputting the maximum gang. Sample input file.txt Sample input file (file.txt) 1 01 101 1011 01101 101111 Sample output A Maximum Gang is: 1 3 4 6 cardinality = 4 Problem 9 Mobile Phone Coverage A mobile phone company ACMICPC (Advanced Cellular, Mobile, and Internet-Connected Phone Corporation) is planning to set up a collection of antennas for mobile phones in a city called Maxnorm. The company ACMICPC has several collections for locations of antennas as their candidate plans, and now they want to know which collection is the best choice. For this purpose, they want to develop a computer program to find the coverage of a collection of antenna locations. Each antenna Ai has power ri, corresponding to radius. Usually, the coverage region of the antenna may be modeled as a disk centered at the location of the antenna (xi, yi) with radius ri. However, in this city Maxnorm such a coverage region becomes the square:  INCLUDEPICTURE "http://acm.uva.es/p/v6/688img1.gif" \* MERGEFORMATINET  As an example, consider the following collection of 3 antennas 4.0 4.0 3.0 5.0 6.0 3.0 5.5 4.5 1.0 depicted in the following figure:  INCLUDEPICTURE "http://acm.uva.es/p/v6/p688.gif" \* MERGEFORMATINET  where the ith row represents xi, yi, ri such that (xi, yi) is the position of the ith antenna and ri is its power. The area of regions of points covered by at least one antenna is 52.00 in this case. Write a program that finds the area of coverage by a given collection of antenna locations. Input The input contains multiple data sets, each representing a collection of antenna locations. The first integer n is the number of antennas, such that 2 d" n d" 100. The coordinate of the ith antenna is given by (xi, yi), and its power is ri. xi, yi and ri are fractional numbers between 0 and 200 inclusive. The input contains multiple data sets, each representing a collection of antenna locations. A data set is given in the following format:  INCLUDEPICTURE "http://acm.uva.es/p/v6/688img5.gif" \* MERGEFORMATINET  The end of the input is indicated by a data set with 0 as the value of n. Output For each data set, your program should output its sequence number (1 for the first data set, 2 for the second, etc.) and the area of the coverage region. The area should be printed with two digits to the right of the decimal point, after rounding it to two decimal places. 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