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Should you buy it?
If you like chess like puzzles in randomly generated fights and feeling rather smart and smug about what you just pulled off, then yes.
If you don't like to think and plan, then no.
Personally, I think the gameplay is pretty solid. The artstyle is tasteful and the OST is good.
The only negative I hold against it is that it grows stale a little too quickly. There's limited enemy variety, limited mission types, and the maps are fairly small. Things got samey for me.
As is, I would personally advise to wait for a price drop. If the game gets updated and adds in more things though, then yeah, get it. Or if you think you've high tolerance to playing out the same thing, then get it.
There are 27 mechs. In groups of 3 they are given specific squads of units that the devs feel have high compatibility with each other.
On top of that you can go random or make a custom squad choosing your own mech combinations, even 3 of the same mech types.
27^3 = 19,683
That means there's 19683 choices you can make and each choice makes the current gameplay feel different to play through.
But to be fair, the game could use more islands and variety of enemies and maybe even more mechs and pilots, but for a base game? The programming is solid, art is pleasing, gameplay feels fast paced and smooth, OST is REALLY good. Worth the $15 for sure.
The devs have a history of releasing major content updates. Apparently they did for FTL and gave it to everyone for free so we are all expecting the same for Into The Breach.
Right now all the variety of mechs is keeping me busy plus trying to improve my performance on hard mode with different squads. I have 80 hours into the game now :)
I've played about 10 hours and I've only used the starting mech team. If you liked FTL, I think it's a definite purchase. (Looks like you missed the chance to get them both together, but if anything Into The Breach is the better game).
Saying ITB isn't as good as FTL is like saying Safeco Field isn't as good as the Roman Colisseum. One is a classic while the other is merely great (with much better pulled-pork sandwiches).
ITB is absolutely worth the money, it's a solid game. It's very clever and mostly tight. It doesn't have a crippling bug because some dev can't spell "yield" properly.
Comparing it to FTL is silly. I mean, Hello games made both 'Joe Danger' and 'No Man's Sky'; and there is no way to compare the two. To try would be an exercise in futility.
Anyway:
Just realize that there is no permanant progression in this game; ie every time you die, you start over. Even bonuses that say 'permanantly increase' (chance for buildings to absorb an attack, for example) are NOT permanant, and reset when you die. The same is true for skills your pilots learn. Every game is starting over. This may appeal to you.
What I am trying to say is that there is no sense of 'progression' in this game. The only thing you can do is unlock new pilots (whose abilities reset every time you die) and new 'squads'.
As I say, this type of gameplay may or may not appeal to you. I don't really like it, but I don't feel like my money is wasted; I feel I got at least $15 of entertainment value from it. I may even play it again some day.
You are correct when you say you need to compute the combinations, but the formula you use actually gives you the amount of permutations instead (basically, in permutations the order in which items are picked matters. In combinations, it doesn't.)
Since it doesn't matter what order you pick mechs in, and repetition is allowed, we need the formula for combinations where repetition is allowed. The formula is ((r+n-1)!)/(r!(n-1)!), where r is the number you can choose, and n is the total of items to choose from.
Just slot those numbers into the formula, and it gives you a total of ((3+27-1)!)/(3!(27-1)!) = 3654 possible combinations of mechs for your custom squad. A lot less than the number of permutations, but still a good amount! :)
Permutations vs combinations can be tricky, but you gave it an excellent shot! Keep it up!