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Advanced Programming

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Advanced Programming

15 Feb 2003

- Reading the problem statement
- Thinking
- Coding + Compiling
- Testing + Debugging
- Finalizing the program

- Read the problem statements carefully
- Note the constraints
- Meaningful Range of variables
- Execution time limit

- Do not “guess” the meaning of the problem statements.

- What is the ‘type’ of the problem?
- DP? Graph? Maths? Others?

- Have you solved a similar problem before?
- How do you solve the problem without computer?
- Can the problem be further divided into some easier sub-problems?

- Drawing diagrams may be useful (especially for DP and Graph problems)
- Is the problem too simple?
- If yes, look for tricks ;-)

- Is the algorithm correct?
- Any special cases?

- Have you coded it before?
- What were the difficulties you faced?

- Is the algorithm feasible?
- How to code it in PASCAL?
- Is it easy to code?
- What is the approximate execution time?
- How to store the data?
- Integer? LongInt? String? Array of char?
- Array? Linked-List?

- Are there enough memory to store the data?

- Are there any (simple) ways to improve
- Program execution time?
- Ease of coding?

- Pre-processing (e.g. find primes)
- Input
- Process
- Part 1, 2, …, N

- Output
- Save and compile your code frequently

- Avoid long and complex expressions

x:=(2*(y2-y1)*(x1*x1+y1*y1-x3*x3-y3*y3)-2*(x1*x1+y1*y1-x2*x2-y2*y2)*(y3-y1)) /(4*(x2-x1)*(y3-y1)-4*(y2-y1)*(x3-x1));

y:=((x1*x1+y1*y1-x2*x2-y2*y2)*2*(x3-x1)-2*(x2-x1)*(x1*x1+y1*y1-x3*x3-y3*y3)) /(4*(x2-x1)*(y3-y1)-4*(y2-y1)*(x3-x1));

r:=sqrt((x-x1)*(x-x1)+(y-y1)*(y-y1));

a:=2*(x2-x1); b:=2*(y2-y1);

c:=x1*x1+y1*y1-x2*x2-y2*y2;

d:=2*(x3-x1); e:=2*(y3-y1);

f:=x1*x1+y1*y1-x3*x3-y3*y3;

x:=(b*f-c*e)/(a*e-b*d);

y:=(c*d-a*f)/(a*e-b*d);

r:=sqrt((x-x1)*(x-x1)+(y-y1)*(y-y1));

- Copy-and-paste
- Make sure the “source” is correct
- Update all variables
- Double checking required

- When to test your program?
- After completing the whole program?
- After writing each statement?
- After coding each part?
- After making changes to a part?

- Print all important variables to screen
- Print messages
- Use debugger, inspect program behavior by running step-by-step

- Sample Output
- “A problem has Sample Output for two reasons:
- To make you understand what the correct output format is
- To make you believe that your incorrect solution has solved the problem correctly ”

- Hand-made Input
- Boundary Case
- “Large” Input
- Execution Time
- Overflow

- Some short-cut keys
- F4 – Goto Cursor
- F7 – Trace into
- F8 – Step Over
- Ctrl-F7 – Add Watch
- Ctrl-F2 – Program Reset
- Ctrl-F8 – Add BreakPoint
- Alt-F5 – Screen Output

- Check I/O filename
- Check Output Format
- Trailing spaces?

- Correct source/executable name?
- Is the executable updated?

- HKOI2003 Junior Q3 – Goldbach’s Conjecture
- Read the problem statements, and think about the algorithms now ;-)

- Given an integer N, find two primes p1,p2 such that p1+p2=N
- p1 ≤ p2
- Minimize (p2-p1)
- Minimum N = 4
- Maximum N = 10,000,000 (wow!)
- Can N be odd?

- Find two primes…
- if M mod pi = 0, where pi is a prime, then M is not prime.
- So….the first step is to find some small prime numbers (up to )
- Then, write a function that uses these prime numbers to check for larger primes
- Use a for-loop to find two prime numbers such that their sum is N
- Feasible? Easy to write?