Problem Solving 101: First, Understand the Problem


The Null Solution

In my previous article, Collaborative Problem Solving, I talked about the importance of questioning assumptions and reconfirming your understanding of the problem when you hit a brick wall during design or troubleshooting of a system. In fact, one of my favorite strategies for tackling a tough design problem is take the  nihilist approach. In the words of the Zen Master…

Remember that there is no code faster than no code.

Taligent’s Guide to Designing Programs

My corrolary to this is that there is also no code simpler than no code. So when confronted with a complex design challenge or optimization problem, my first question is always “How can we get away without implementing this at all?” Granted, this only works about 20% of the time, but when we can step back and realize that a particularly pernicious problem has just vaporized it is a wonderful thing.

I’m sure that some may be  incredulous about the idea that this ever works at all. I mean, why would anyone have even started working on a problem that didn’t need to be solved? The answer is that only in rare cases does this approach reveal that the entire project was unnecessary, although I have that happen. More often it just reveals that the developer has ventured too far down a dead-end path and is working exclusively on meta-problems that can be eliminated by just backing up a few steps.

For example, this Stack Overflow Question, is a good example of a meta-problem that can be eliminated by taking a step back and reconsidering how to avoid throwing errors instead of how to ignore them as explained in this answer.

Re-evaluating the Problem

What got me started on this two day rant about problem solving approaches was this really insightful idea for solving some of the core issues with implementing an voting system. It was a really great example of how re-examining the core problem led to a solution to a seemingly intractable problem.  Here’s a quick breakdown on the dilemma.

Goals: An voting system must satisfy these criteria (among others)

  1. Voters must be able to anonymously cast their votes.
  2. Voters can cast zero or one ballot, but never more than one.
  3. Voters must not be able to prove who they voted for (to preclude vote buying).
  4. Voters should be able to confirm their vote was properly recorded for each candidate they picked.

Problem: If a voter can confirm who they voted for then they have the means to prove (and receive remuneration) for voting for a particular candidate.

The problem that has stumped many, including myself in analyzing this problem is that requirements (3) and (4) are apparently incompatible.  How can you give the person a way to confirm their vote without being able to prove their vote to another person?

The Solution: The solution that David Bismark came up with was fairly straightforward once he realized that we were looking at requirement (4) incorrectly. Consider this clarification of that requirement.

4. Voters should be able to confirm their vote was properly recorded for each candidate they picked the way they marked it.

Under this revised understanding of the problem, the solution became more straightforward. Essentially his solution involves randomizing the order of the names on the ballot, after voting the ballot is torn in half and the names part is shredded. The bubble-candidate correlation is encrypted on the ballot to prevent tampering, but allow the vote to be tabulated.

The voter then can check (perhaps online) that the bubbles they marked were counted, but no longer see which candidate corresponds with each bubble. Assuming they remember the order of the candidates, they can confirm their voted counted but not prove who they voted for. Voila! Brilliant!

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