Logic Masters Deutschland e.V.

Split Peas Lies

(Published on 7. November 2026, 02:00 by raaaaa)

This puzzle was inspired by marty_sears's Liar Cell series. Many thanks also to SamuPiano for creating the Split Peas Lines constraint.

Click the image to play this puzzle.

Rules:

Normal sudoku rules apply.

LIAR CELLS:
Every row, column and 3x3 box contains one liar cell, whose real value is different from its digit. Every other cell's value is its digit.
• Every liar cell contains a different digit from 1-9.
• Every liar cell has a different value from 1-9.

SPLIT PEAS LINES:
The values of cells strictly between the two circles on a green line sum to a two-digit number formed by the values in those circles, in either order. Values may repeat on a line. Different lines may share endpoint circles.

BLACK DOTS:
Cells separated by a black dot have values in a 1:2 ratio.

WHITE DOTS:
Cells separated by a white dot have consecutive values.

X / V:
The values of two cells separated by an X sum to 10; those separated by a V sum to 5. Not all dots or X/V clues are given.

NOTES:
In each arrow, record its row's liar digit. In the circle to its right, record that liar cell's real value. Filling in these notes is optional.

Solution code: The VALUES in row 2, from left to right (9 digits).


Solved by cyddrdrd, 72kchunshuai, blueberrypug, by81996672, sacker, kirito360, Gunkan, lrbhandanshi, mathhead, NEWS, sujoyku, steeto, h5663454, a806779931, jinkela114514, Dogfood, Isael
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Comments

on 11. November 2026, 12:22 by h5663454
不赖

on 11. November 2026, 02:51 by sujoyku
Wonderful puzzle! I found it very hard, but at the same time highly rewarding. Thank you for this lovely construction, raaaaa!

on 7. November 2026, 02:03 by cyddrdrd
Great arithmetic!

Difficulty:4
Rating:97 %
Solved:17 times
Observed:1 times
ID:000VXC

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Solution code:

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