# Isekai: Slow Life – Guide to Game Math

## Game Math

### Understanding the Difference between Multipliers and Addends

We create a fictive and non-existing scenario with fictional items where we use:

• Green spheres that gives a 2% multiplying boost
• Purple potions that give a + 20 000 boost (addition)

Scenario 1

• We level up: A Weak Fellow with 1000 power
• We have: 2 green spheres, 1 purple potion

If we use the two green spheres:

• 1000 · 1,02 · 1,02 = 1040.4 power
• Result: Almost no difference

If we use the purple elixir of 20 000 power:

• 1000 + 20 000 = 21 000 power
• Result: Very big difference!

Can we make the conclusion here, that addition is better than multiplication?

Let’s move on with a different scenario before we jump to any conclusions here.

Scenario 2

• We level up: A Strong Fellow with 100 000 power
• We have: 2 green spheres, 1 purple potion

If we use the two green spheres:

• 100 000 000 · 1.02 · 1.02 = 104 040 000
• Result: 4 040 000 power difference

If we use the purple elixir:

• 100 000 000 + 20 000 = 100 020 000
• Result: Only 20 000 difference.

The conclusion here we can make is that multipliers are more effective, the higher the base value is.

### Understanding Concentration of Items vs Spreading Out

We create another scenario using the same fictive items as above. Green spheres that gives a 2% multiplying boost.

Scenario 1

• We level up: A party with only 2 fellows. Both fellows have 100 000 000 power.
• Initial power of our whole party is there by 200 000 000.
• We have: 10 green spheres

If we add 5 green balls to each fellow:

• 100 000 000 · 1.02^3 = 110 408 080
• 110 408 080 · 2 = 220 816 160
• 220 816 160 – 200 000 000 = 20 816 160
• Result: We had a total power increase of 20 816 160

If we add all 10 balls to one fellow:

• 100 000 000 · 1.02^10 = 121 899 442
• 121 899 442 + 100 000 000 = 221 899 442
• 221 899 442 – 200 000 000 = 21 899 442
• Result: We had a total power increase of 21 899 442

Let’s compare the two scenarios with each other:

• 21 899 442 – 20 816 160 = 1 083 282

We can see that when we added all multipliers to the same fellow, they made a bigger impact on the total house power, than when we spread them out.

The conclusion here is that the more multipliers you use together, the higher impact they do.

### What Are We Doing With This Information?

What we have learned about multipliers so far is:

• The higher the base value is, the more effective a multiplier is
• The more multipliers you use together, the more effective they are
• Addends stay the same and make the same impact no matter what the base value is

To use your multiplier in the most efficient way possible, focus all of them only on one fellow (your main one) to as great extent as possible.

The problem is that, in the game there is a lot of places where we need more than one fellow (Sandtopia, Mine Clearance etc). A simple solution to this is to spread out all of your addends (elixirs etc) on your remaining fellows – an addend that gives + 3 000 power is worth the same no matter what the base value is, and how many multipliers are involved.

### In-Game Examples

In the game, the multipliers are calculated by Aptitude.

All fellows have a base aptitude, which for SSR heroes varies between 70 and 110. The difference between these original aptitudes are so low compared to the aptitude you need long term, that you don’t need to take that into consideration when picking which fellows to level up. When you level up the power of your fellow, you level it up either by raising the power, or by raising the aptitude.

Examples of multipliers (aptitude):

• Limit Break
• Insights
• Skill Pearl
• Proficiency (Bazaar)
• Awaken (Acquaint Stones)
• Artifacts