Dartboard Puzzle

The Dartboard

The Dartboard is a puzzle found in the Billiard Room. Once a player clicks the board, one or more sections will be colored and the puzzle will start. There is no time limit to solving the puzzle. Players must work out the value of the board and then click the correct number on the number ring. If the correct number is clicked, a new board will be presented. If the wrong number is clicked, the puzzle will reset. Players must solve between two to nine boards in order for the dartboard to open and the prize to be revealed.

The Dartboard evolves with every win, becoming more complicated over time, although the puzzles are somewhat randomized and a different playthrough will get different puzzles.

Starting at the 69th dartboard puzzle, hard dartboard puzzles that require advanced rules start appearing, but from this point onward there are only two boards before the puzzle is solved (the first one is usually easier). The hardest dartboards start appearing at the 100th dartboard puzzle.

The Speakeasy Upgrade can be used to mitigate the difficulty of the dartboard, always giving very easy puzzles, in exchange for the benefits of the other upgrades.

There are three broad areas of a board: The Bullseye, The Middle Rings, and The External Ring. There are 4 middle rings, split into sections (called beds in traditional darts), each with their own corresponding number as shown on the number ring.

Solution

To see a visual guide of each symbol mentioned in this solution, see the bullseye, middle rings and external ring sections below.

To solve a board, follow these steps:

1. Start with the value 0.
2. Solve each section of the inner most Middle Ring first.
   1. The color of a section will inform what to do with that particular number. Blue is addition, Yellow is subtraction, pink is multiplication and purple is division.
   2. If the section has only a strip of color in the middle, divide the number by 3 before using.
   3. If the External Ring is present and has a symbol over the number of a section, the number is modified:
      1. A cross means to disregard the operation entirely.
      2. A diagonal line means divide the number by 2.
      3. 2 dots here means multiply by 2.
      4. A diamond symbol (◆) means to invert the digits of the number.
      5. A diamond with a slash does nothing (but see the bullseye section below).
   4. If there are multiple different colors in the same ring, subtraction occurs before multiplication. ([Datamined Information] There are no puzzles where the order matters for any other operations.)
3. Before moving to the next ring check if the Bullseye matches a color in the ring. If it does, apply the symbols to your result now.
   1. The bullseye is not applied if the only instance(s) of a color in the ring was cancelled via a cross in the external ring.
   2. The Bullseye can have up to 2 symbols. If more than one symbol is present, starts with the innermost one.
   3. If the color in a ring was under the effect of the diamond with a slash in the external ring, the diamond symbol should be ignored (but the other symbol should still apply if present).
   4. A square symbol means square the number.
   5. A diamond symbol (◆) means invert the digits.
      1. If the current amount is not an integer, the decimal point is part of the number to be inverted. (E.g. 16.5 inverts to 5.61.)
   6. A wavy line means round the number. Double wavy lines means round to the nearest 10 and triple means round to the nearest 100.
      1. Rounding goes to nearest; if exactly halfway between, it rounds to the greater value (closer to positive infinity).
4. Go back to step 2 and continue solving each ring in turn from the innermost, out. Until all the rings have been calculated.
5. Use the solution by clicking the correct number on the number ring. (It will always be an integer from 1 to 20.)

The Middle Rings

These colors are always the first step in calculating a ring.

• 

  Addition
• 

  Subtraction
• 

  Multiplication
• 

  Division
• 

  Number is divided by 3 (can also be yellow)

The External Ring

The external ring works as modifiers to each section in the middle rings and should be used in conjunction with the colors above.

• 

  Number is divided by 2
• 

  Ignore this number during calculation
• 

  Invert digits
• 

  Double before use
• 

  Ignore the diamond portion of the dartboard

The Bullseye

The Bullseye symbols are applied on top of the result of an entire ring, and only if the ring being calculated matches the color of the bullseye.

• 

  Number ²
• 

  Invert digits
• 

  Round number
• 

  Round to the nearest 10
• 

  Round to the nearest 100
• 

  Example of a Bullseye with 2 symbols

Examples

Example 1

Example 1: A simple example board using the core concepts of the puzzle

Start with 0.

Middle Ring 1 (addition):

$0+6+8=14$

Middle Ring 2 (mutiplication):

$14\times 2=28$

Bullseye Diamond inversion:

$28=82$

Middle Ring 3 (subtraction):

$82-1=81$

Middle Ring 4 (mutiplication):

$81\times 1=81$

Bullseye Diamond inversion:

$81=18$

Solution: 18

Example 2

Example 2: An example board using most of the advanced concepts

Start with 0.

Middle Ring 1 (addition):

Thin line: $\frac{6}{3}=2$

Thin line: $\frac{1}{3}=0.\bar{3}$

$0+2+0.\bar{3}=2.\bar{3}$

Middle Ring 2 (subtraction):

Thin line: $\frac{3}{3}=1$

External Ring 2 dots:$1\times 2=2$

Thin line: $\frac{2}{3}=0.\bar{6}$

External Ring slash:$\frac{0.\bar{6}}{2}=0.\bar{3}$

$2.\bar{3}-2-0.\bar{3}=0$

Middle Ring 3 (mutiplication):

$0\times 1=0$

Bullseye square:

$0^2=0$

Bullseye double wavy line:

$0=0$

Middle Ring 4 (addition):

Thin line: $\frac{6}{3}=2$

$0+2=2$

Solution: 2

Rewards

Solving the Dartboard Puzzle will award the player either 2 normal keys, or a special key.

References

Dartboard Puzzle Solver by Adam Boeglin. Live Demo available here.