MB and Ridley damage formulas
Important values for calculations regarding min. item-combinations for beating the game: (unfinished)
This section here is so far completely solved, except the red parts regarding the maximal damage (in PAL and NTSC) one can deal to LNF-Ridley by laying just one Powerbomb (in an optimal way) and turning it into a Chainsaw-Powerbomb at the right time, suitably; aswell as the resulting minimal combinations of ammunition to kill LNF-Ridley that use such CHPBs.
["ChPB" means Chainsaw-Powerbomb]
Exact minimal combinations of Missiles/SuperMissiles ammunition to destroy one Zebetite (independent of the Zebetite´s shape (there are two different shapes and a total amount of four Zebetites)):
[4SM]; [2M+3SM]; 5M+2SM; 8M+1SM; 11M; 1M+1ChPB; [1SM+1ChPB]; [2ChPB].
(The options within brackets have no use and are only hypothetical options, since they can always be substituted with better options.)
Hypothesis: There is no way to combine just one ChPB with some Missiles/SuperMissiles to destroy more than one Zebetite with less ammunition compared to destroying them one after another (although, in principle, one could hit more than one Zebetite with just one ChPB, provided that one is fast enough to shoot with Chainsaw-beam at the next Zebetite after the previous Zebetite was destroyed while the corresponding ChPB-explosion has not finished already).
Exact minimal combinations of Missile/SuperMissile ammunition to just destroy the glass-tank that surrounds MB1 in such a way that it will not reappear anymore after re-entering the room:
Formula: (18 - n)*M + n*SM, n element of {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18}
Explicitly:
18M; 17M+1SM; 16M+2SM; 15M+3SM; 14M+4SM; 13M+5SM; 12M+6SM; 11M+7SM; 10M+8SM; 9M+9SM; 8M+10SM; 7M+11SM; 6M+12SM; 5M+13SM; 4M+14SM; 3M+15SM; 2M+16SM; 1M+17SM; 18SM.
Basic information:
In order to destroy the glass-tank, always exactly 18 Missile and/or SuperMissile projectiles have to hit either the tank directly and/or the brain within the glass-tank (therefore it just depends on the number of hits that the glass-tank takes, but not if SuperMissiles or Missiles were used). And, as long as the glass-tank is not destroyed, MB1 cannot die and switch to MB2, even if the brain within the glass-tank is already dead (for example if one uses 6 Missiles to open the glass-tank, and hits the brain with 10 SuperMissiles afterwards (which would suffice to kill the brain), then still another 18-6-10=2 Missile and/or SuperMissile shots would be needed to destroy the glass-tank in order to let MB1 die). Also, the glass-tank cannot get hurt using ChPBs.
Exact minimal combinations of Missile/SuperMissile ammunition to just destroy the Brain (of MB´s first form) without the (previously destroyed) glass-tank:
Formula: (30 - 3*n)*M + n*SM, n element of {0,1,2,3,4,5,6,7,8,9,10}
Explicitly:
30M; 27M+1SM; 24M+2SM; 21M+3SM; 18M+4SM; 15M+5SM; 12M+6SM; 9M+7SM; 6M+8SM; 3M+9SM; 10SM.
Basic information:
The brain (of MB´s first form) within the glass-tank has exactly 3000 hp, one Missile does 100 damage, one SuperMissile does 300 damage, and the brain cannot get hurt using ChPBs.
Exact minimal combinations of Missile/SuperMissile ammunition to destroy both, the glass-tank aswell as the brain within it, without leaving the room (to refill Missiles):
Separated formulas (due to the glass-tank having an influence as soon as the overall number of used projectiles for MB1 would start to get below 18):
(36 - 3*n)*M + n*SM, n element of {0,1,2,3,4,5,6,7,8,9}
(8 - n)*M + (10 + n)*SM, n element of {0,1,2,3,4,5,6,7,8}
Explicitly:
36M; 33M+1SM; 30M+2SM; 27M+3SM; 24M+4SM; 21M+5SM; 18M+6SM; 15M+7SM; 12M+8SM; 9M+9SM; 8M+10SM; 7M+11SM; 6M+12SM; 5M+13SM; 4M+14SM; 3M+15SM; 2M+16SM; 1M+17SM; 18SM.
Basic information: Always, exactly 6 Missile and/or SuperMissile projectiles are necessary to open the glass-tank in order to be able to hit the brain directly.
Exact minimal combinations of Missile/SuperMissile/Chainsaw-Powerbomb ammunition to just destroy MB2:
Notation: Whenever an integer m element of {-0,-1,-2,-3,...} (i.e. a negative number) appears (usually as the coefficient for the Missile ammunition) then simply substitute this coefficient with "0", and the formula will be correct.
[The reason why I use this notation is that it makes the formulas easier.]
Set of formulas, separated with respect to the number of used ChPBs:
Charge;
18ChPB;
17ChPB + (2 - 3*n)*M + n*SM, n element of {0,1};
16ChPB + (12 - 3*n)*M + n*SM, n element of {0,1,2,3,4};
15ChPB + (23 - 3*n)*M + n*SM, n element of {0,1,2,3,4,5,6,7,8};
14ChPB + (33 - 3*n)*M + n*SM, n element of {0,1,2,3,4,5,6,7,8,9,10,11};
13ChPB + (44 - 3*n)*M + n*SM, n element of {0,...,15};
12ChPB + (54 - 3*n)*M + n*SM, n element of {0,...,18};
11ChPB + (65 - 3*n)*M + n*SM, n element of {0,...,22};
10ChPB + (75 - 3*n)*M + n*SM, n element of {0,...,25};
9ChPB + (86 - 3*n)*M + n*SM, n element of {0,...,29};
8ChPB + (96 - 3*n)*M + n*SM, n element of {0,...,32};
7ChPB + (107 - 3*n)*M + n*SM, n element of {0,...,36};
6ChPB + (117 - 3*n)*M + n*SM, n element of {0,...,39};
5ChPB + (128 - 3*n)*M + n*SM, n element of {0,...,43};
4ChPB + (138 - 3*n)*M + n*SM, n element of {0,...,46};
3ChPB + (149 - 3*n)*M + n*SM, n element of {0,...,50};
2ChPB + (159 - 3*n)*M + n*SM, n element of {0,...,50};
1ChPB + (170 - 3*n)*M + n*SM, n element of {0,...,50};
0ChPB + (180 - 3*n)*M + n*SM, n element of {0,...,50}.
[50 is the maximal number of portable SuperMissiles, and there are no options to get SuperMissile drops during the fight with MB2.]
More compact formula:
Charge;
k*ChPB + (m - 3*n)*M + n*SM, n element of {0,...,h}
(k,m,h) element of {(0,180,50), (1,170,50), (2,159,50), (3,149,50), (4,138,46), (5,128,43), (6,117,39), (7,107,36), (8,96,32), (9,86,29), (10,75,25), (11,65,22), (12,54,18), (13,44,15), (14,33,11), (15,23,8), (16,12,4), (17,2,1), (18,0,0)}.
First short formulas:
18ChPB.
17ChPB+2M; 17ChPB+1SM.
16ChPB+12M; 16ChPB+9M+1SM; 16ChPB+6M+2SM; 16ChPB+3M+3SM; 16ChPB+4SM.
(...)
Basic information:
MB2 has exatly 18000 hp, one Missile does 100 damage, one SuperMissile does 300 damage, one hit with a Chainsaw-Powerbomb does 150 damage (by laying a powerbomb while Wave+Spazer+Plasma is turned on and shooting with close distance to MB2 at the brain when (, but even possible before) the powerbomb starts exploding), but with one ChPB, one can hit MB2 at most 7 times and therefore one ChPB does at most 1050 damage (which is in principle always possible).
Minimal combinations of Missile/SuperMissile/Powerbomb packs (neglecting ChPBs here for simplicity, since no one knows the exact maximal damage that can be dealt to LNF-Ridley using one ChPB, since Ridley can be hurt with the powerbomb right before switching it to a ChPB, too) to destroy LNF-Ridley:
[Here, I neglect exact ammunition counts, since in principle, one can always fill the ammunition right before entering the fight.]
(M-packs,SM-packs,PB-packs) element of {(0,6,0), (6,5,0), (12,4,0), (18,3,0), (24,2,0), (30,1,0), (36,0,0), (2,5,1), (8,4,1), (14,3,1), (20,2,1), (26,1,1), (32,0,1), (0,5,2), (4,4,2), (10,3,2), (16,2,2), (22,1,2), (28,0,2), (0,4,3), (6,3,3), (12,2,3), (18,1,3), (24,0,3), (2,3,4), (8,2,4), (14,1,4), (20,0,4), (0,3,5), (4,2,5), (10,1,5), (16,0,5), (0,2,6), (6,1,6), (12,0,6), (2,1,7), (8,0,7), (0,1,8), (4,0,8), (0,0,9)}
For the non-major-glitched options, we can reduce this number of options due to having at least (1,1,1) always such that those remain:
{(2,5,1), (8,4,1), (14,3,1), (20,2,1), (26,1,1), (4,4,2), (10,3,2), (16,2,2), (22,1,2), (6,3,3), (12,2,3), (18,1,3), (2,3,4), (8,2,4), (14,1,4), (4,2,5), (10,1,5), (6,1,6), (2,1,7)}
Basic information:
LNF-Ridley has exactly 18000 hp, one Missile does 100 damage, one SuperMissile does 2*300=600 damage, one hit with a powerbomb does 200 damage but one can hit LNF-Ridley at most 2 times with just one powerbomb which makes 400 damage in total (and it is always in principle possible to hit LNF-Ridley two times that way), and the maximal damage with just one ChPB is ? (an unknown amount of) damage.
Minimal options of ammunition combinations for LNF-Ridley that include ChPBs: ???
