How to Get an A* in A-Level Maths

Some tasks are well-suited to humans, and others are well-suited to computers.

For example - identifying and labelling images is (currently) very difficult for computers, but fairly easy for humans. Google use an online game to get humans to do the work - but it turns out that computer programs do better at the game because they are better able to cheat!

The seemingly similar task of completing a jigsaw is different... big jigsaws get increasingly difficult for humans but stay quite simple for computers. Computers can easily check which edges match quickly and easy (within reason), and simply join them up (assuming you can find unique matches). Then just check for more matches until the whole puzzle is complete. Simple!

Does anyone have a computer program that will solve a 30 piece jigsaw, say?