# Solution 3

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3Ea - Solutions (author: Tao Yue, state: unchanged)

**Solution to Fibonacci Sequence Problem**

(* Author: Tao Yue Date: 19 July 1997 Description: Find the first 10 Fibonacci numbers Version: 1.0 - original version *) program Fibonacci; var Fibonacci1, Fibonacci2 : integer; temp : integer; count : integer; begin (* Main *) writeln ('First ten Fibonacci numbers are:'); count := 0; Fibonacci1 := 0; Fibonacci2 := 1; repeat write (Fibonacci2:7); temp := Fibonacci2; Fibonacci2 := Fibonacci1 + Fibonacci2; Fibonacci1 := Temp; count := count + 1 until count = 10; writeln; (* Of course, you could use a FOR loop or a WHILE loop to solve this problem. *) end. (* Main *)

**Solution to Powers of Two Problem**

(* Author: Tao Yue Date: 13 July 2000 Description: Display all powers of two up to 20000, five per line Version: 1.0 - original version *) program PowersofTwo; const numperline = 5; maxnum = 20000; base = 2; var number : longint; linecount : integer; begin (* Main *) writeln ('Powers of ', base, ', 1 <= x <= ', maxnum, ':'); (* Set up for loop *) number := 1; linecount := 0; (* Loop *) while number <= maxnum do begin linecount := linecount + 1; (* Print a comma and space unless this is the first number on the line *) if linecount > 1 then write (', '); (* Display the number *) write (number); (* Print a comma and go to the next line if this is the last number on the line UNLESS it is the last number of the series *) if (linecount = numperline) and not (number * 2 > maxnum) then begin writeln (','); linecount := 0 end; (* Increment number *) number := number * base; end; (* while *) writeln; (* This program can also be written using a REPEAT..UNTIL loop. *) end. (* Main *)

Note that I used three constants: the base, the number of powers to display on each line, and the maximum number. This ensures that the program can be easily adaptable in the future.

Using constants rather than literals is a good programming habit to form. When you write really long programs, you may refer to certain numbers thousands of times. If you hardcoded them into your code, you'd have to search them out. Also, you might use the same value in a different context, so you can't simply do a global Search-and-Replace. Using a constant makes it simpler to expand the program.

Also note that I used the `longint` type for the number variable. This is because to fail the test `number <= 20000`, `number` would have to reach `32768`, the next power of two after `16384`. This exceeds the range of the integer type: `-32768` to `32767`. (try it without `longint` and see what happens)

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