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Sorting data is a very important operation in computing for many reasons. One of those reasons is that it makes the data more accessible to humans once it is printed (imagine trying to use a telephone directory in which the names do not appear in any particular order). Another rea- son is that it makes the data more quickly searchable by the computer (recall the Binary Chop algorithm). There are four large datafiles to download for this lab. You will only need the first one unless you get on to the extra credit parts. They are all available on the class web-site, and are named database1.txt , database2.txt , database3.txt , and database10.txt . Download the file “ database1.txt ” and use a text editor to take a quick look at it. You will see that it contains data about a number of people. Each line contains exactly four items: a person ’ s social security number, their first name, their last name, and their date of birth. The four items are separated by spaces, but no item will ever contain a space. Here is a sample from the middle of the file: 243810667 Chester Peters 19210320 244260287 Lynne Dobson 19781211 244550439 Napoleon Stein 19810110 244940274 Eileen Holloway 19351104 245340593 June Ride 19370522 246230419 Rupert Ogham 19590810 248890854 Christopher Nixon 19510503 250410626 Lars Root 19520508 252190308 Petunia Aspen 19421001 253780249 Otto Osmond 19270802 257390263 Roscoe Smithers 19840718 258080395 Ellery Farmer 19370524 258230892 Calvin Hornswaggle 19431217 259280426 Tammy Moriarty 19490204 259320410 Jim Wilder 19441217 264880013 Azalea Smelley 19740811 266640093 Incitatus Laurel 19720124 267110552 Isaac Mason 19661121 The names are all randomly generated, so there is no confidential data in there. As you may have noticed, the date of birth is provided as a single integer, in the format yyyymmdd ; Chester Peters was born on the 20th of March 1921. 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Read the Data Write a program that creates appropriate arrays large enough to hold all the data, then reads all the data from the file into those arrays. There should be one array for social secu- rity numbers, another array for first names, another array for last names, and a fourth array for birth dates. Make your program close the file, then print out the first 10 items of data from the arrays, so that you can make sure everything was read correctly. 2. Find the Oldest Modify your program so that after closing the file, instead of printing the first ten items of data, it searches throught them all to find the oldest person represented. It should print the social security number, first and last names, and date of birth of the oldest person found. Important: Good clean design will make this lab much easier. Write a separate function that searches the arrays to find the oldest person; do not put all the work in main . 3. Promote the Oldest For some unfathomable reason, the management wants the oldest person to occupy the first position in the arrays. Modify your program so that after finding the oldest person, it swaps his or her data with the data already occupying the first position in the arrays. Remember that the first position in an array is numbered zero, not one. 4. Now Promote the Second Oldest. The management has now decided not only that the oldest person must occupy the first positions in the array, but also that the second-oldest person must occupy the second posi- tion in the array. So, after searching for the oldest and moving their data to the front of the array, now search the remainder of the array (all except the first element), and move the oldest person you find (which must be the second oldest of all) into the second position of the array. Make sure you swap data, so that whoever was originally in the second position is not lost. 5. More of the Same. The management are going to keep on adding requirements like this, next putting the third-oldest in the third position, then the fourth, then the fifth. There is no knowing when they will grow out of this petty obsession, so make things easier for yourself. Modify your search function so that it can be told how much of the array to search. That is, give it two int parameters (let ’ s call them a and b ); its job is now to search only the portion of the arrays between position a and position b , to find the oldest person therein. This makes it very easy to search the remainder of the array to find the second and third oldest. 6. The Ultimate Demand. Now the management make their final demand. You are to repeat the process of mov- ing the n th -oldest person into the n th position 1000 times. (remember, 1000 is the number of data records in the whole file). 'xmhe=۞=M J`A[/Ct2ܴ2/,1%BeÑfZ$ABa4B%d}}'w1ߞoރ\:׹_v̼f6$d h53 a\:dg7եW. 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Sorting the File. Once you have sorted the contents of the arrays, it might be a good idea to save the sorted data in a file. Make your program create a new file, and write all the contents of the arrays into that file in a sensible format. Use a text editor to look at the file and verify that it has the same format as the original file, and all the data is properly sorted. 8. (Extra Credit) How Fast Is It? It is important to know how long computer operations are going to take when they have to work on a large amount of data. library.h contains two functions: look_at_the_clock , and double_time . The first of them does exactly what its name suggests. The second returns the time that was seen when it last looked at the clock, in seconds, as a double. The time it returns is accurate to about a millisecond. Mysteri- ously, the time returned is the number of seconds since 7pm on 31st December 1969. Use this function (twice) to time how long it takes the computer to sort the arrays of 1000 data items. Do not include the time it takes to read the file or the time it takes to write tyhe new file, just the pure sorting time. Note the time that you observe. Now you know how long it takes to sort a database of 1000 items. How long do you think it would take to sort a database of 2000 names? 3000 names? 10,000 names? Think about those questions, and work out what you believe the answer is. Then find out what the real answer is. The three other files database2.txt , database3.txt , and database10.txt contain 2000, 3000, and 10000 data items respectively. If your pro- gram was nicely written, it will be a few seconds ’ work to change the array sizes and make it read a different file. See how long it takes to sort these larger files, and compare the results to your predic- tions. If your predictions weren ’ t substantially correct, make sure you understand why. 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