Artifacts

Artifacts are source of powerful boosts.

To unlock Artifacts, you need to reach Stage 100 and do your first Transform.

Currently, there are 73 Artifacts in Merge Quest.

Two of them (*Easter Bunny* and *Pumpkin Lantern*) are seasonal, and can be obtained only during corresponding Holiday.

We buy (forge) and upgrade Artifacts using Artifact points that we get on each **Transform**.

## **The Math**

> Here I will write few formulas that I figured out analyzing Artifacts' numbers.
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### **Forge Cost**

> When you have N Artifacts, next Artifact Forge Cost [FC] will be:
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> **[FC] = 5 \* 1.8N,**
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> rounded down to nearest whole number.
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> When you have 0 artifacts, it will be 5, then 9, 16, 29, 52 and so on.
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### **Upgrade Cost**

> Upgrade cost [UC] for each next level is 1.5 times higher than previous one.
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> We have artifacts with different Level 1 upgrade costs [u] that range from 3 to 19.
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> At Level [L] Artifact upgrade cost will be:
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> **[UC] = [u] \* 1.5(L-1),**
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> rounded down to nearest whole number.
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> See column **[u]** in the table below for each artifact's Level 1 Upgrade Cost.
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### **Attack and Defense Bonus**

> Each Artifact has Attack and Defense bonus [ADB], that is growing by base number [a] each Level [L].
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> See column **[a]** in the table below for each artifact's Attack and Defense Base Number.
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> In addition, Attack and Defense bonus is "Advanced" (doubled) every 20 levels.
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> The formula for [ADB] will be:
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> **[ADB] = [a] \* ( [L] + 1 ) \* 2FLOOR( [L] / 20 )**
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### **Additional Effect**

> Most Artifacts (all except 6) have an additional Effect [E].
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> Effect value growth, in most cases, fall into 2 types:
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* + Artifacts with Effect maxed at Level 20 (I didn't bother to track Effect growth for those).
	+ Artifacts with effect maxed at Level 100. For those, Artifacts' Effect value [E] at Level [L] (up to level 100) is:
	> **[E] = [b] \* ( [L] + 1 )**
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> See column **[b]** in the table below for each artifact's Effect growth Base Number.
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## **Forge and Upgrade Tips**

In the beginning, on each Transform, forge as many Artifacts as you can, then use remaining Artifact Points to Upgrade existing ones.

Artifacts in your inventory will be shown in order you obtain them (latest at the top), and unfortunately that order cannot be changed. It makes too hard (for me) to upgrade selected Artifacts. It's much easier to upgrade all of them evenly.

   This is a simple proof that upgrading evenly is better (have bigger bonuses) than upgrading only selected Artifacts:

1. Let's take 2 artifacts with same Upgrade Cost but different Attack and Defense bonuses (see The Math section for calculation details): **Time Warp** has [a] = 100, **Treasure Belt** has [a] = 50, both have [u] = 9.
2. **Example 1**:
	* we can get total Attack and Defense bonus of 750% spending 146 Artifact points on upgrading both.
	* we are getting only 700% bonus spending 187 points when we upgrade only better one.
3. **Example 2**:
	* we can get total Attack and Defense bonus of 1,500% spending 1,348 Artifact points on upgrading both.
	* we are getting only 1,200% bonus spending 1,539 points when we upgrade only better one.

## **List of all Artifacts**

Click [Expand] to see the table.

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> The table below is sortable. Click little Up/Down arrows to the right of column name to sort table by this column values. Click again to sort descending.
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