You can defeat the monster by destroying all of the blocks, but attacking blocks that are not core blocks does nothing.
Touching a red core block will destroy both that block and the blocks around it that have arrows pointing their way.
Destroy all of the blocks and set those poor chicks free!
There are some core blocks that you must not attack, because they will take out other core blocks that you need.
Don't fall for the monster's trap!
Look for the blocks that can only be taken out by specific core blocks, starting at the outside edge.
Those are the weak points!
The blocks at the edges at the bottom-left and bottom-right, and the two blocks right at the top can only be destroyed by attacking the core blocks next to them.
You don't need to worry about aiming at those core blocks.
Continuing on from hint three...
There are still some core blocks you mustn't attack.
But if you attack the remaining core blocks from the bottom up, you shouldn't have any trouble.
Finish it off with a nice rat-kick!
Answer for 'Core War'
The answer is as follows.
1. Destroy left-2 bottom-3.
2. Destroy left-2 bottom-1.
3. Destroy left-3 bottom-1.
4. Destroy right-2 bottom-1.
5. Destroy right-4 bottom-2.
6. Destroy right-3 top-3.
7. Destroy right-2 top-4.
8. Destroy right-4 top-2.
9. Destroy left-4 top-2.
10. Destroy left-3 bottom-3.