Explanations about the conservatories are not good.
1. "I knew that the first con has more than 3 angels." Not true, he knew it could be 2, 3 or 4. And didnt check size untill 121 even though he beat the guards 111.
2. ", I found that this con also has strong guards. I had no choice but fought." He dosent have to fight the one he is closest to. There is one with unknown size that he can check the size of the same day.
3. He has 3 scouts very close. 2 cons with "throng" size and still he dosent attack with a scout to find out the exact size. Anything but stacks of 20 and its game over.