Obi
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And this is not obvious at all! And this is precisely an example of an adequate hint, and it is precisely this that is sufficient!
Because it immediately eliminates many development paths: the combination of unit position + wall placement narrows the number of options not from 70, but from 2100 to 5. This is the problem, oh my god, the author assumes this is obvious! Why might this be obvious? When you need to wait 1 turn behind a single wall with a fast-flying unit + tactics? By the way, at first glance, I don't understand what changes, but this is a reason to think.
And this is exactly what should be in the hint. Currently, what is in the hint is very blatant trolling.
I had a lot of options where 2 stacks were burned in the first 2 turns, and the option through wait almost worked, with the speed and burn artifact removed, it started from the very first round. Why does the author think that the two-stack option is an obvious wrong approach? On the contrary, it is the fastest possible and least mana-intensive way to win. It doesn't involve hiding behind a single wall. Currently, the problem with it is that 1 unit is lost. But why is it obvious that in the other 1.4 million possible actions in 2 turns, the desired outcome will not be achieved?
It's surprisingly a clear example of the curse of knowledge and the blindness of analyzing the solution space. This is a reproach, but it is a normal phenomenon that someone could not look at the problem with an unbiased view - it is really not easy.
I can give an example so that you feel it from the other side:
many people can probably solve quadratic equations. It turns out that this knowledge is sufficient to solve cubic equations. There is a very simple approach, no additional knowledge or skills are needed, there are only a couple of simple operations, and the cubic equation is reduced to a quadratic one. Can you figure it out on your own? I, by the way, would never have figured it out myself, but it is brilliantly simple.
However, regarding the huge number of potential solution options, I think you are overthinking it. If I suggest you complete a battle in which you need to kill a sniper with a azure dragon, it is obvious to you what you need to do to win in the first turn, you will not think about at least a hundred other options in which it is not achieved? And if I add another sniper and tell you to win the battle in 2 turns, the variability of possible actions will increase many times, but the battle will still be easy.
It turns out that everything comes down to your understanding of the game and intuition, such battles with a wall of fire really require some experience, intuition led you in the wrong direction, and, among other things, the hint about 13 walls confused you and made you think in the wrong direction - okay, I will take this into account. However, without it, you might think that, since there is so much mana, you can just sit behind a single wall and shoot down champions with arrows - this hint eliminates this perspective of thinking, here your initial knowledge that mana is limited prevents you from understanding and evaluating this, but, as you can see, the hint is not so useless. By the way, the mana reserve for 13 walls gives the player quite a lot of freedom, you can also complete it in 9.
I'm not sure that it is my task as the map author to "take into account all the possible misunderstandings that may arise for players and warn them in advance about how they are resolved." It is not obvious to you how to act in this battle, but a weaker player will not understand how to kill 7 peasants with one, what should I do now, write all possible hints for players of different levels before each battle? Outside the map - please, I am always ready to help/suggest individually.
Regarding cubic equations - I don't remember it being reduced to a quadratic one, rather I remember that it was reduced to an equation of the form x^3 + px + q = 0, and from it came the Cardano formulas, which were terribly cumbersome and not very beautiful.