Subject
[Play Style] What color to level or 3, 4, 5 color teams [Analysis, Math]
This play style attempts to maximize your match 3 damage/ shield damage/ physical damage so you can farm multi-color stages, farm single color stages, complete rare quests and complete challenge events with the least use of battle items.
Simple Advice
As soon as you can, level your first 3* rainbow team (one of each color) to max (3.50),
then level your first 4* rainbow team to max (4.70).
[Edit]
For farming 8-7, substitute your 3* green hero ( strong against blue and neutral against green ) for your 4* red hero ( weak against blue )
For farming Wanted: Elemental mission (chest) substitute your 3* strong color hero for your 4* weak color hero when farming a single color.
For reflected color bosses, level your second 3* rainbow team (substitute for a strong color hero for your reflected color 3* hero against a reflected color boss)
then level your second 4* rainbow team.
Note: your second rainbow team will give you Huge boost against reflective color bosses since you will be replacing a reflected color hero with a strong color hero against the boss.
For farming Wanted: Elemental missions (chest), Challenge events and titans, level your third 3* rainbow team. Substitute for your weak color 3* hero and one neutral color 3* hero while farming a single color. Substitute for you reflected color 3* hero and weak 3* hero while fighting a reflective color boss.
then level your third 4* rainbow team.
[Edit] This will give you another decent boost against reflective color bosses since you will be replacing a reflected color and a weak color with two strong color heroes against the boss.
Level your first 5* rainbow team. A single 5* rainbow team requires the same 3* ascension materials as TWO 4* rainbow teams. Example: 8 warm capes will ascend TWO 4* blue heroes or a single 5* blue hero.
Complex advice
Switching from a Five color team versus a one color boss
to
a Four color team with double strong/ no weak versus one color Boss
increases your damage by 27% from 110% to 140% compared to all neutral heroes (100%).
This happens because you are removing the damage from the weak hero AND replacing it with a strong hero so you get a double boost.
This strategy should increase your average titan damage.
Switching from a Five color team versus a once color boss
to
a One color team with quintuplet strong/ no weak/ no neutral versus one color boss gives you the most increase, 81% from 110% to 200% compared all neutral heroes (100%).
But this strategy suffers from the real world problem of a random match 3 board does not mean an even match 3 board (Note 1) so you can go an entire battle without your hero team’s single color. No matching color means no mana (and almost no damage) which drops your hero team’s damage to almost zero.
This extreme strategy works best on Challenge events, were you can rerun the same board over and over until you get a battle with lots of shields matching the single color of your hero team. Still, I would recommend at least 3 colors on a hero team so any power shard ( result of a match five ) has a 3 in 5 chance of generating mana and damage.
Hero teams that work well against a one color Boss, also work well when farming a stage that is a single color.
[Edit]:
Math equations including probability comparisons
Comparing 3+ matching/ shield damage/ physical damage for different color combinations compared to a team of all neutral heroes (100%):
==Five color team versus one color Boss==
200% x0.2= 40% strong color
50% x0.2= 10% weak color
100% x0.2= 20% neutral color
100% x0.2= 20% neutral color
100% x0.2= 20% neutral color
= 110% normal damage average
minimum damage is 50% x1= 50%
==Four color team with double (2) strong/ no weak versus one color Boss==
2x 200% x0.2= 80% strong color
0% x0.2= 0% weak color
100% x0.2= 20% neutral color
100% x0.2= 20% neutral color
100% x0.2= 20% neutral color
= 140% normal damage
odds zero mana (and almost zero damage) from:
row on board (7)- 1 / 0.2^7 = 1 in 78,125
column on board (5)- 1/ 0.2^5 = 1 in 3,125
Power shard or initial match 5 to create power shard = 1 in 5
==Three color team with triple (3) strong/ no weak/ two neutral versus one color Boss==
3x 200% x0.2= 120% strong color
0% x0.2= 0% weak color
0% x0.2= 0% neutral color
100% x0.2= 20% neutral color
100% x0.2= 20% neutral color
= 160% normal damage
odds zero mana (and almost zero damage) from:
row on board (7)- 1 / 0.4^7 = 1 in 611
column on board (5)- 1 / 0.4^5 = 1 in 98
Power shard or initial match 5 to create power shard = 2 in 5
==Two color team with quadruple (4) strong/ no weak/ one neutral versus one color Boss==
4x 200% x0.2= 160% strong color
0% x0.2= 0% weak color
0% x0.2= 0% neutral color
0% x0.2= 0% neutral color
100% x0.2= 20% neutral color
= 180% normal damage
odds zero mana (and almost zero damage) from:
row on board (7)- 1 / 0.6^7 = 1 in 36
column on board (5)- 1 / 0.6^5 = 1 in 13
Power shard or initial match 5 to create power shard = 3 in 5
==One color team with quintuplet (5) strong/ no weak/ no neutral versus one color boss==
5x 200% x0.2= 200% strong color
0% x0.2= 0% weak color
0% x0.2= 0% neutral color
0% x0.2= 0% neutral color
0% x0.2= 0% neutral color
= 200% normal damage
odds zero mana (and almost zero damage) from:
row on board (7)- 1 / 0.8^7 = 1 in 5
column on board (5)- 1 / 0.8^5 = 1 in 3
Power shard or initial match 5 to create power shard = 4 in 5
[Edit]:
Note 1)
For an even match 3 board, every time a shield is removed from the board, it would be replaced by the next color in sequence. So removing 5 shields from the board would replace them with 5 shields of five different colors.
For a random match 3 board, every time a shield is removed from the board, it can be replaced by any of the other colors. So removing 5 shield from the board has a 1 in 3125 chance of replacing them with 5 purple shields. If your team does not contain a purple hero, you have 5 shields that do almost zero damage to the boss and generate zero mana for your hero.