While exploring a remote island under the project "Search for Knowledge Program", Archaeologist "LALO" has found a hidden stargate which will open a portal to the Knowledge Dimension.
In order to start the stargate, we have to enter the stargate key (password), which can be derived from the "Page of Shapes".
The "Page of Shapes" has a design which is formed by different shapes. Every shape is part of a circle, and they are numbered from 1 to 75.
We have to use the available shapes to form a maximal number of same-sized circles, and have to ensure a minimal number of shapes remain unused (which are not and cannot be part of any circle formation).
The password is the maximal count of equal size circles formed and the minimal count of remaining shapes (as explained in "Page of Hints").
Help LALO to find the correct password (number of equal size circles, and count of remaining shapes) and unlock the Knowledge Portal!
After three wrong attempts, the stargate will be automatically destroyed, along with the island!