Omega Challenges

Description

Omega Challenges are a Tier 2 of Challenges that was added in the v0.34 Update.

When you enter an Omega Challenge, the Singularity Functions are respecced, the boost from Singularity is disabled, and lose all your Factor Boosts and your bought Double Incrementy production upgrades, but you'll get them back after you exit the Omega Challenge.

The main requirements for the Omega Challenges is Incrementy. Omega Challenges can also be completed a fractional number of times past 1, which separates them from regular Challenges. The formula for them is $\log _{o}(I)$ where $o$ is the OC goal in Incrementy and $i$ is your best Incrementy in the OC. Note that if you haven't completed that Omega Challenge, then the reward will be 0.

Omega Challenges are organised in rows of 3. To unlock the 1^st row of Omega Challenges, you need to buy u46. After it is bought, you will unlock OC1-3. To unlock the 2^nd row (OC4-6), you need to have a best of 500,000,000 FB/s.

Your total Omega Challenge completions will increase Factor Boosts gain from Milestones and OP gain by x$max(1,x)$, where $x$ represents your total Omega Challenge completions.

List of Omega Challenges

Omega Challenge 1

"Pick two challenges and play in them. You can't complete any challenges and Factors are useless. You can buy booster upgrades, even in challenge 6+"

This is the 1^st Omega Challenge, and a unique one.

This Omega Challenge allows for more freedom than the others, as the player can choose their experience in this Omega Challenge.

Changes

• You have to select 2 Challenges to get into this Omega Challenge.
• You can't complete any Challenge.
• Factors are disabled.
• The Booster Upgrade effects from Challenges 6 to 8 (if chosen) are enabled although their descriptions say it is disabled.

Goal

1.00e16 Incrementy.

Rewards

Complete all Challenges 3 times per completion^1.4, up to most ever completed ($3x^{1.4}$, where $x$ is OC1 Completions).

Reward Table

OC1 Completions (truncated to 3 decimal places)	Best Incrementy in OC1	Max C8 completions
1	1.00e16	3
1.228	4.47e19	4
1.440	1.11e23	5
1.640	1.78e26	6
1.831	2.02e29	7
2.014	1.73e32	8
2.191	1.17e35	9
2.363	6.45e37	10
2.529	2.98e40	11
2.691	1.17e43	12
2.850	4.00e45	13
3.005	1.21e48	14
3.156	3.24e50	15
3.305	7.83e52	16

Tips

It is a best practice to use the C1+2 pair for OC1 completions, because it is impossible to gain Incrementy to raise completions of this Omega Challenge with other combinations because of the base cap is 4 or ordinal is limited.

We also use C1+8 for Decrementy instead just entering a normal Challenge 8. It will do a few magnitudes better for instance.

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Omega Challenge 2

"All doublings are disabled. You also can't enter even numbered challenges"

This Omega Challenge is slightly similar to OC1, with its restriction of most Challenges.

Changes

• All doublings are disabled. Doublings include:
  • u11 (2x multiplier to all Factors)
  • IU2 (2x Incrementy each time it is bought)
  • Buff in Challenge 3 (2x free Factors output from u33)
  • IU9 (2x OP gain from Markups)
  • Dark Upgrade 2 (2x Decrementy each time it is bought)
• Every instance of 2 above will halve in Omega Challenge 2, and higher for Challenge rewards.
• Even-numbered Challenges (say, C2, C4, C6 and C8) are restricted.

Goal

1e55 Incrementy

Rewards

Boost all doublings to $x+2$, where $x$ is your OC2 completions.

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Omega Challenge 3

"Booster upgrades are disabled"

This Omega Challenge is minor as there is only one change.

Changes

• You can't buy any Booster Upgrades.

Goal

1e75 Incrementy

Rewards

The left row of Booster Upgrades are much cheaper ($c^{0.5^{x}}$, where $x$ is your OC3 completions and $c$ is the base Booster cost).

Reward Table

OC3 completions (truncated to 4 decimal places)	Best Incrementy in OC3	Details	u12 Cost	u13 Cost	u14 Cost
0	0	Base	5	72	53
1	1.00e75	1 Completion	2	8	7
1.0848	2.71e81	u14 cost -1	2	8	6
1.0857	6.05e81	u13 cost -1	2	7	6
1.1920	2.54e89	u13 cost -1	2	6	6
1.2197	3.00e91	u14 cost -1	2	6	5
1.3269	3.31e99	u13 cost -1	2	5	5
1.4004	1.07e105	u14 cost -1	2	5	4
1.5076	1.18e113	u13 cost -1	2	4	4
1.6641	6.45e124	u14 cost -1	2	4	3
1.7713	7.13e132	u13 cost -1	2	3	3
1.9889	1.47e149	u12 cost -1	1	3	3
2.1154	4.49e158	u14 cost -1	1	3	2
2.2261	4.96e166	u13 cost -1	1	2	2
3.2916	7.41e246	u14 cost -1	1	2	1
3.3988	8.18e254	u13 cost -1	1	1	1

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Omega Challenge 4

"Factor Shifts and the second Incrementy upgrade are much more expensive"

This Omega Challenge is simply to increase the difficulty of normal game.

Changes

• Base Factor Shift costs are significantly higher.
  1. 5.000e106
  2. 5.000e146
  3. 1.000e250
  4. 1.000e136
  5. 1.000e135
  6. 1.000e234
  7. 1.000e250
• IU2's cost is constantly squared.

Goal

1e93 Incrementy

Rewards

Factor Shifts are always much cheaper ($F^{\frac {1}{x+1}}$, where $x$ is your OC4 completions and $F$ is the base Factor Shift cost).

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Omega Challenge 5

"Aleph power multiplier is stuck at x0.0001"

This essentially disables the power of Cardinals.

Changes

• All Aleph power boost is a static 0.0001 which applies to the following:
  • Tier 1 Automation is 10,000x slower.
  • Tier 2 Automation is 10,000x slower.
  • Globally, you gain 10,000x less OP.
  • You gain 10,000x less Incrementy. (with AU5)
  • Dynamic Factor cap is divided by 10,000x. (with AU6)
  • Challenge 8 goals are 10,000x higher. (with SFU63)

Goal

1e50 Incrementy

Rewards

Aleph power is stronger. ($f(x)=max(1,2-\mathrm {e} ^{0.5-{\frac {x}{2}}})$, where $\mathrm {e}$ is Euler's number, and $x$ is your OC5 completions, then your Aleph power $p$ is raised to the $f(x)$($p^{f(x)}$). Visually, the Aleph power number is left unchanged, and the boost is actually applied to the multiplier formula $g(x)=log_{10}(p+10)^{f(x)}$.

Omega Challenge 6

"You can't normally buy Singularity Functions upgrade and the Singularity is stuck at 1. You also can't enter normal challenges"

Changes

• You can't buy Singularity Functions (However, the BM3 reward still has an effect, and Easter Egg function doesn't count).
• The Singularity is not upgradeable, meaning your Singularity Level will be capped at 1.
• You can't enter Challenges. This is probably to prevent entering Challenge 1 to gain significant amounts of Incrementy.

Goal

1e85 Incrementy

Rewards

Raises base Incrementy gain to the ${\sqrt {\max(1,\min(x,1.1))}}$, where $x$ is OC6 completions which can be simplified to just $\sqrt{x}$ if you remove the bounds (cap at 1.1 completions, minimum of 1).

If you have over 1.1 completions, Omega Challenge completion to OP and Booster gain from Milestones multiplier will still count, but this reward does not.

Trivia

• Of all the currently Omega Challenges, you cannot reach 1.7977e308 Incrementy in OC1 or OC6, furthermore, both Omega Challenges limit your Ordinal. OC2 and OC5 are both possible, but are very difficult to reach.
• It is only necessary to farm Factor Boosts during Challenges in OC2 and OC4, because:
  • In OC1, it is impossible to Factor Boost in every possible combination.
  • In OC3, Booster Upgrades are disabled, so Boosters do nothing since only u22 (Boosters boost Tier 1 and 2 Automation) is boost based on your Boosters.
  • In OC5, performing Factor Boosts is very tedious as you need to manual click over 500 times or wait over 10 minutes in single FB runs.
  • In OC6, it limits your Ordinal; you can reach the BHO instantly and Boosters won't boost Incrementy production, resulting in no help in Factor Boosting.
• Prior to November 2020, OC5's description was "Aleph Power is stuck at 0.0001", but this was actually applied to its multiplier.
  • Because Aleph Power can be produced normally; if you have 0.0001 Aleph Power, its base multiplier will be 1.0000043429231045x instead of 0.0001x.
• For now, 10 completions of an Omega Challenge is only legitimately possible in OC1, OC5 and OC6's rewards can be capped (even if OC5 can reach Infinity completions).
• Out of all the Omega Challenges, only OC6 cannot be completed at least 2 times, and only OC1 can be completed more than 14 times, in contrast to all other Omega Challenges being uncompletable past 7 completions but possible past 4 completions.
• Out of all the Omega Challenges, only OC6 cannot be completed more times than the index of the Omega Challenge. When an Omega Challenge except OC4 and OC6 is completed more times than the index, the corresponding Achievement is earned.