D20.00 Variant Rules (D20.00 Decimal Rules Supplement)

D20.00 Variant Rules

Simply put, d20.00 is a system that, while similar to d20, is also using decimals. The reasons for why I thought of this as a good idea was that placing decimals in a system such as this would provide for more degrees of chance, as well as a little more "Realism," to the game through having actions not so easily attainable. It would also bring a few more shades of grey to what is usually a black and white system. While there seems to be nothing different about having simply having the same chances for hitting a certain number, the decimal system allows for more variability than just with a normal d20. Since every number has the same chance of being hit, and since there are now 1980 more possible hits to choose from, the chances of hitting a certain number, while the same, is not so guaranteed, because there are many more possibilities that the die can roll upon, not just a few. In practice, this usually results in numbers that are lower than the norm, which makes it less possible to obtain a certain result. Thus, with this, actions are no longer so easy to accomplish as the player has more probable possibilities that are less certain than before, and, is quite less cinematic than with a simple d20. For instance, on a normal everyday d20, you have the average of every roll coming out to 10.5, while with a d20.00, you have the average being a 10.005. Since the possibilities of getting a 10 or higher is lessened by at least 100% from 10.5, the probability is lowered closer to the point of nil (an impossibility, but can still be somewhat negated). Thus, with that, the possibilities of getting a success with every die roll is closer to the almost-perfect 1:2 probability of a coin, without negating variety.

The Problems of the implications with using this system are in quite a number. Because of the issues with Decimals and normal die which everyone would have in real life, you'd need to use a program that generates random numbers. Thus, this, until it has been finished, will only be in the realm of possibility of using Computer random number generators. Possible ideas for Number Generators would include:

  • Ti-Program Die Generators
  • RPG Systems such as OpenRPG or TableGenie

Another problem is also the issue of willing players. With decimals, it seems that people get a bit scared around them, thus this ruleset is for those willing to try new things; thus, it is recommended to not be used that often, as people faced with this have shown a bit of annoyance at this variant ruleset.

Changing the d20 System to d20.00

NOTE: This requires the use of a random number generator or a program which does numbers in excess of 1000 random numbers. Open RPG is preferred.

Basic mechanics: In order to get decimals (which requires a random number generator that can do up to the 1000's), you need to roll a die that is one hundred times greater than what you are rolling for (like if you roll a d20, you roll a d2000). This comprises both your main numbers, and your decimals. To get to the base number, you then divide your result by 100, which gets you your answer.

Die RollsReplacement
d2d200/100
d3d300/100
d4d400/100
d6d600/100
d8d800/100
d10d1000/100
d12d1200/100
d16d1600/100
d20d2000/100
d24d2400/100
d100d10000/100

(NOTE: For Open RPG, you cannot go higher than 1d10000. It is impossible. You have to use only the 10ths decimal place...)

Rounding

Instead of rounding decimals off (which would now defeat the purpose of Decimal die), you now instead round off to the hundredths decimal point (it is where the '0' in "#.#0" is). As usual, unless noted, you always round down.

Ability Scores/Mods

For ability scores/mods got to ability scores/mods.

Die Additions

With the addition of Decimals, over hundreds of new die types can be added into D&D. However, most of these can only be used in Open RPG and similar systems as of late, thus Open RPG is recommended for this.

New Types of Die Damage Sizes
New DieEquivalent Value
1d1.00[1d100/100]
1d1.25[1d125/100]
1d1.33[1d133/100]
1d1.50[1d150/100]
1d1.66[1d166/100]
1d1.75[1d175/100]
1d2.25[1d225/100]
1d2.33[1d233/100]
1d2.50[1d250/100]
1s2.66[1d266/100]
1d2.75[1d275/100]
1d3.25[1d325/100]
1d3.33[1d333/100]
1d3.50[1d350/100]
1d3.66[1d366/100]
1d3.75[1d375/100]
1d5.25[1d525/100]
1d5.33[1d533/100]
1d5.50[1d550/100]
1d5.66[1d566/100]
1d5.75[1d575/100]
1d6.50[1d650/100]
1d7.00[1d700/100]
1d7.50[1d750/100]
1d8.50[1d850/100]
1d9.00[1d900/100]
1d9.50[1d950/100]
1d10.50[1d1050/100]
1d12.50[1d1250/100]
1d14[1d1400/100]
1d16[1d1600/100]
1d24[1d2400/100]

Die Size Changes/Additions

NOTICE! EXTRA WORK IS NEEDED ON THIS SECTION TO MAKE IT MORE EQUAL.

1d1.00 > 1d1.25 > 1d1.33 > 1d1.50 > 1d1.66 > 1d1.75 > ...

1d2.00 > 2d1.00 > 1d2.25 > 1d2.33 > 1d2.50 > 2d1.25 > 1d2.66 > 2d1.33 > 1d2.75 > ...

1d3.00 > 2d1.50 > 1d3.25 > 2d1.66 > 1d3.33 > 1d3.50 > 2d1.75 > 1d3.66 > 1d3.75 > ...

1d4.00 > 2d2.00 > 1d4.25 > 1d4.33 > 1d4.50 > 2d2.25 > 1d4.66 > 2d2.33 > 1d4.75 > ...

1d5.00 > 2d2.50 > 1d5.25 > 2d2.66 > 1d5.33 > 1d5.50 > 2d2.75 > 1d5.66 > 1d5.75 > ...

1d6.00 > 2d3.00 > 1d6.25 > 1d6.33 > 1d6.50 > 2d3.25 > 1d6.66 > 2d3.33 > 1d6.75 > ...

1d7.00 > 2d3.50 > 1d7.25 > 2d3.66 > 1d7.33 > 1d7.50 > 2d3.75 > 1d7.66 > 1d7.75 > ...

1d8.00 > 2d4.00 > 1d8.25 > 1d8.33 > 1d8.50 > 2d4.25 > 1d8.66 > 2d4.33 > 1d8.75 > ...

1d9.00 > 2d4.50 > 1d9.25 > 2d4.66 > 1d9.33 > 1d9.50 > 2d4.75 > 1d9.66 > 1d9.75 > ...

1d10.00 > 1d10.25 > 1d10.33 > 1d10.50 > 1d10.66 > 1d10.75 > ...

1d12.00 > 2d6.00 [2d600/100] > 1d12.25 > 1d12.33 > 1d12.50 > 2d6.25 > 1d12.66 > 2d6.33 > 1d12.75 > ...

1d13.00 > 2d6.50 > 1d13.25 > 2d6.66 > 1d13. 33 > 1d13.5 > 2d6.75 > 1d13.66 > 1d13.75 > ...

1d14.00 > 2d7.00 [2d700/100] > 1d14.25 > 1d14.33 > 1d14.50 > 2d7.25 > 1d14.66 > 2d7.33 > 1d14.75 > ...

1d15 > 2d7.50 > 1d15.25 > 2d7.66 > 1d15.33 > 1d15.50 > 2d7.75 > 1d15.66 > 1d15.75 > ...

1d16.00 > 2d8.00 [2d800/100] > 1d16.25 > 1d16.33 > 1d16.50 > 2d8.25 > 1d16.66 > 2d8.33 > 1d16.75 > 2d8.50 > 2d8.66 > 2d8.75 > ...

1d18.00 > 1d18.25 > 1d18.33 > 1d18.50 > 1d18.66 > 1d18.75 > 3d6.00 > 3d6.25 > 3d6.33 > 1d19.00 > 1d19.5 > 3d6.50 > 3d6.66 > ...

1d20.00 > 2d10.00 > 1d20.25 > 3d6.75 > 1d20.33 > 1d20.50 > 2d10.25 > 1d20.66 > 2d10.33 > 1d20.75 > ...

1d21.00 > 2d10.50 > 1d21.25 > 2d10.66 > 1d21.33 > 1d21.50 > 2d10.75 > 2d10.75 > 1d21.66 > 1d21.75 > ...

1d24.00 > 2d12.00 > 3d8.00 > 1d24.25 > 1d24.33 > 1d24.50 > 2d12.25 > 1d24.66 > 2d12.33 > 1d24.75 > 3d8.25 > ...

1d25.00 > 2d12.50 > 1d25.25 > 1d25.33 > 1d25.50 > 3d8.50 > ...

1d26.00 > 2d13.00 > 3d8.66 > ...

1d28.00 > ...

1d30.00 > ...

1d33.00 > ...

1d35.00 > ...

1d40.00 > ...

1d50.00 > ...

1d66.00 > 2d33.00 > ...

3d23.33 > 1d70.00 > ...

1d75.00 > ...

1d80.00 > 2d40 > ...

1d90.00 > 3d30 > ...

3d33.33 > 1d100.00 > 2d50 > 4d25 > 5d20 > 10d10

Carrying Capacity Changes

Because of the possible insanity that would be incurred by having every decimal place calculated for weight, and to leave in some ease of use, Only the weight capacity up to the 10ths place will be calculated. all other places will not be done until I deem it necessary.

To see the tables go to Carrying Capacity.

Variant Speed Rules

Algorithm: Resultant Speed = Base Speed + {1.25*(DexMod)} - {2.5*(Armor Check Penalty- Str. Mod)}.

(Do Not use decimals for movement, unless you do something)

Base Save Bonuses
WARNING! THESE BONUSES MIGHT BE OFF BY A BIT. ALGORITHMS FOR SAVE BONUS DATA IS NEEDED
Table: Base Saves
ClassBase Save (Good)Base Save (Poor)
Equations2+(HD)*0.5HD*.33
1st+1.50+0.33
2nd+2.00+0.66
3rd+3.50+0.99
4th+4.00+1.32
5th+4.50+1.65
6th+5.00+1.98
7th+5.50+2.31
8th+6.00+2.64
9th+6.50+2.97
10th+7.00+3.30
11th+7.50+3.63
12th+8.00+3.96
13th+8.50+4.29
14th+9.00+4.62
15th+9.50+4.95
16th+10.00+5.28
17th+10.50+5.61
18th+11.00+5.94
19th+11.50+6.27
20th+12.00+6.60

Base Attack Bonuses
Table: Base Saves
LevelBase Attack (Good)Base Attack (Average)Base Attack (Poor)
EquationHDHD(3/4)HD(1/2)
1st+1+0.75+0.50
2nd+2+1.50+1.00
3rd+3+2.25+1.50
4th+4+3.00+2.00
5th+5+3.75+2.50
6th+6/+1+4.50+3.00
7th+7/+2+5.25+3.50
8th+8/+3+6.00/+0.75+4.00
9th+9/+4+6.75/+1.50+4.50
10th+10/+5+7.50/+2.25+5.00
11th+11/+6/+1+8.25/+3.00+5.50
12th+12/+7/+2+9.00/+3.75+6.00/+0.50
13th+13/+8/+3+9.75/+4.50+6.50/+1.00
14th+14/+9/+4+10.5/+5.25+7.00/+1.50
15th+15/+10/+5+11.25/+6/+0.75+7.50/+2.00
16th+16/+11/+6/+1+12.00/+6.75/+1.50+8.00/+2.50
17th+17/+12/+7/+2+12.75/+7.50/+2.25+8.50/+3.00
18th+18/+13/+8/+3+13.50/+8.25/+3.00+9.00/+3.50
19th+19/+14/+9/+4+14.25/+9.00/+3.75+9.50/+4.00
20th+20/+15/+10/+5+15.00/+9.75/+4.50+10.00/+4.50

Thanks to...(In ORPG nicks)

Matillo: (for getting the basic mechanics down on ORPG...)

Hihepux: (Helping with mechanics)

Pz.Az.04Maus: (For thinking of the basic concept)

And others who helped as well from the Veav I Server on ORPG...

Open RPG

Back to Main Page → 3.5e Homebrew → Rules → D20.00 Decimal Rules

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gollark: ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌
gollark: ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌
gollark: ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌
gollark: ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌ ❌
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