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jollysunflora

Help with a grouping logic puzzle...

Question

There are twelve rows and columns, and there are twelve colors. A color can only appear once in any given row or column. Each of the twelve "tokens" (e.g. mary, jordan) must be assigned a color, and they must be paired with each of the twelve colors. 

The white cells are the ones that need a color assignment, and when all the remaining white cells have been assigned a color and the above constraints are still true, the puzzle is solved. What's already there can't be changed.
 

tumblr_ode79dJyZu1qfmn7bo1_1280.png

Edited by jollysunflora
Wrong upload attachment

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3 answers to this question

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Could you please attach the actual spreadsheet rather than a screenshot?

There appear to be a few ways to simplify this problem before attempting to resolve it outright.  The easiest one to see is that brown, grey, orange, yellow, cyan and green have all been completed. This means they could be filled in with one colour instead and it is only necessary to fill the remaining empy squares with the six remaining colours

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In its current form it is not possible

For pale blue colour

1. The blood column cannot contain a Blood Maid due to mary the MInd Maid cannot contain a Blood Rogue due to jordan the Breath Rouge and cannot contain a Blood Thief due to kiddo the Life Thief.  As all other options are already colored mage must be a Blood Hier.

2. Lou has not been colored pale blue yet but has been colored for Time, Space, Rage, Blood (now that we have completed 1) , Doom, Life, Light.  MInd, Breath, Blood (now that we have completed 1), and Life already contain a pale blue item.  Thus Lou could be a Hope Thief, a Heart Page or a Void Hier,  As kiddo is a Life Thief and The new mage from 1 is a Blood Heir lou can only be a Heart Page. 

3. In the time column mage the Time Sylph cant be pale blue as mage is already a Blood Hier (from 1), knight the Time Maid can be eliminated as mary is a MIind Maid, kate the Time Page can be eliminated as Lou is the Heart Page (from 2), kiddo the Time rouge can be eliminated as kiddo is already the Life Thief. The only item not previously coloured is cathrine the Time Bard

4.Now examine the Doom column. It can be niether mage the Doom Prince nor thief the Doom Hier due to mage being the Blood Heir(from 1). It cannot be knight the Doom Bard as cathrine is the Time Bard (from 3) thus only uncoloured item is monk the Doom Mage

5. now examine the Hope column. Can't be monk the Hope Sylph due to monk being a Doom Mage (from 3), cant be kate the Hope Heir due to mage the Blood Hier (from 1) , cant be cathrine the hope mage due to both cathrine being a Time Bard (from 3) and monk being a Doom Mage (from 4),  cant be bard the Hope Maid due to mary the Mind Maid, cant be lou the Hope Thief due to lou being the Heart Page (from 2 )  and kiddo being the life thief,  cant be witch the Hope Bard as cathrine is the Time Bard.  All other items are already coloured. For the pale blue colour there is no Hope

Edited by phaze
spoiler antics

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I agree that the puzzle as it stands has no solution. This must be Jollysunflora's partial attempt and now he possibly needs help in solving it. Could Jolly perhaps post the original puzzle for us and we can start from scratch? Somewhere along the line a mistake has already been made! RDM

 

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