Each of the 100 levels has a gamious score, or the amount of moves that the developers had to spare, doing that level. Some of the levels can be done with more moves to spare than the developers. For the (total) gamious score, all of the moves you had to spare in each level, are added together. To reach the gamious score(for this achievement), all of the moves you had to spare added together must reach 1564.
After you've 100%ed each level, you can see what level you can improve on. A level with a flickering checkmark, means that you've completed it with more moves to spare than the gamious score.
If you follow my guide for completing all levels, you should go well over 1564. The guide has solutions for gamious score or better on 95 levels. Since it also beats the gamious score on 10+ levels, you'll earn the achievement.
Solution for Briquid Boss In Briquid Mini (WP)