Upgrades

Upgrades are things that you can buy to improve your efficiency in Fake Cookie Clicker Definitive Edition. Currently the only upgrades are the clicking upgrade that improves the cookie clicks by multiplying the value of them by 2, the cursor upgrade that improves the cursor efficiency by 2, and the grandma upgrade which improves grandma efficiency by 2.

## Section Header

### Label

Cost: 100, multiplies by 10 for every one purchased

### Label

Fun fact: The color ID of the cursor in the upgrade icon is #2ce8f2

### Label

Description: This makes click(-)ing the cookie 2X as effective. (The hyphen between click and ing appears in the game because the box was too short to render it all without a hyphen.)

The original cookies per click is unsurprisingly, 1. That means that the first time you buy the upgrade, you will have 2 cookies per click, and then 4, and then 8, and then 16, and then 32, and then 64, however getting to there would be pretty expensive as shown on this table.

Table
 Amount of times it was purchased

However, you could of course figure that out just by doing this simple equation:

log
2

⁡
(
x
# )
y

{\displaystyle \log\_2(x)=y}

And for the 1% of people who don't know what a logarithm is, do this equation instead:

2
x

=
y

{\displaystyle 2^x=y}

Adding to that table, using some math you can find that it would take about 15,265,000 clicks to get to 128 clicks per second. Assuming you have the average Cps and never fluctuate to anything else, according to Google, and using some math that seems correct but might not be, it would take 23860 seconds to get there. In simpler to understand terms, that's 6.62 hours. In even simpler terms, that's 6 hours, 37 minutes and 12 seconds. That's even more than a quarter of a day! In fact, about 0.275% more than a quarter of a day.

The equations used for the things were these:

64 \* 15265000 = 1000000000

6.62 \* 23860 = 15265000

23860 seconds = 6.62 hours

6.62 hours = 6 hours, 37 minutes and 12 seconds

## Cursor upgrade

The original CpS of the cursor is unsurprisingly, 0.1. That means that the first time you buy the upgrade, you will have a CpS of, well there's a problem here. It's impossible to know how many cursors you have at that point. So instead, here's a formula!
The formula in question though, is complicated. To help both of us, here's a little bit of table.

 Amount of times it was purchased

You may have noticed that with ten cursors, the CpS is

2
y

{\displaystyle 2^y}

 where y is the amount of times the upgrade was purchased. For more help, let's employ 5 cursors instead.

Once you see some more examples, it becomes easier to create a formula for the CpS with x cursors.

The formula is

(
x
1
)
y

/

10

{\displaystyle (x+1)y/10}

 for the first 3 spots. It's actually pretty hard to get one for all of them, just comment if you know. Remember, it has something to do with powers of two., where x is the amount of times you've upgraded and y is the amount of cursors you have. For example, if you've upgraded 3 times and you have 25 cursors, it'd be (4 \* 25)/10, which works out to be 10. Indeed, if you look at the 3rd spot in the 25 cursor table, it shows 10.

Of course, this formula is universal. The universal formula would actually be

(
x
1
)
y

/

(
1

/

z
)

{\displaystyle (x+1)y/(1/z)}

, where x is the amount of times you've upgraded, y is the amount of buildings you have, and z is the CpS of the building.

## Section Header

### Label

Cost: 500, multiplies by 10 each time you buy it

### Label

Fun fact: Just like the other grandma, it only has glasses and not a mouth

The grandma upgrade was introduced in version 0.00054 and multiplies grandma CpS by 2. So if you had one grandma, it would take 8 minutes and 20 seconds to get this upgrade. Then, it would take 41 minutes and 40 seconds for the next. That's five times more time!

(Cost: 1,921,250)
(Cost: 187,962,500)
(Cost: probably over 10 billion)
(Cost: probably over a trillion)
(Cost: probably over 100 trillion)
 Amount of times it was purchased

## Section Header

### Label

Cost: 250, multiplies by 10 each time you buy it

### Label

Fun fact: The icon for the upgrade is just a recoloured cursor

### Label

Fun fact 2: The colour ID for the upgrade is also #2ce8f2

## Trivia

Every upgrade actually has the wrong colour, in the original Cookie Clicker, the first upgrade was the colour of the thing it was upgrading, then pink, then finally cyan.

### Clicking upgrade

* The box around the cursor has the color ID of #753e06.
	+ The line around the box around the cursor seems to have the color ID of #1a1200.
* The name for the upgrade seems to be in bold while the description isn't in bold.
* The way that there are spaces in the description of the upgrade like in a sentence long enough to go from the right side of the screen to lower and on the left side again like right now seems to be because of this letter combination: /n
* In the version history part of the code, first is misspelled as fist in the sentence "Added the fist upgrade of many to come". The line that the misspelling is on is line 38.

### Cursor upgrade

* The cursor in the upgrade box is the same as the one in the buy box to buy the actual cursor, just recoloured. The way this is possible is because the cursor is drawn according to a function called "drawCrsr".
* The cursor doesn't touch the outline of the box.

### Grandma upgrade

* It still doesn't have a mouth.
* It didn't work until version 0.000541.
	+ The reason it didn't work is because the code for making it work was wrong, it simply said to give the player 1 more cookies instead of the grandma level unlike the cursor code.