Solution:
Formula for catapult frozen-damage is: DMG=150*HP/(100+HP), rounded up.
This can be re-written as HP>(100*(DMG-1))/(150-(DMG-1))
We did not define wether there was a mark of
or not...
So the amount of damage you need could be:
116, 124, 132, ...
this results in your chimera having the following hp, in order:
329, 456, 690, ...
freezing a chimera resets it's hp to 499. Thus, You can only deal 116 or 124 damage.
The 1st Singularity is 1 off of the logic, meaning the logic applies for one (or more) of the following hp's:
328, 330, 455, 457.
It said nowhere that there are 5 singularities; only that there aren't more than 5.
Singularities have relatively to each other this amount of hp, depending on with how many they are:
1: N total: N
2: 2N total: 3N
3: 4N total: 7N
4: 8N total: 15N
5: 16N total: 31N
this means that you have to divide 328, 33, 455, and 457 by this total/N, and get a whole number as result.
You'll find that you can have any of the options with N = 1;
N = 3 can get you 455;
N = 4 can get you 330;
for N = 3, you get on the last creature 455/7 = 65;
on the 3 you'll have 65, 130, 260. the total needs to be 1 higher, so the highest-hp singularity has 1 hp more.
65, 130, 261.
A singularity can only increase it's HP by 5 per turn.
The deck posted only has 4 BB and 30 cards;
this means that there is a maximum of 5+23*5+4*20 = 200 hp on a single singularity.
You'll get the same problem for N = 1.
Thus, only N = 4 for 330 hp is left:
330/15 = 22
hps: 22, 44, 88, 175 <- remember the 1-off thing; for 329 hp you'll need 1 hp less.
Put in the right creature-order on the board.
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