TomTom (Cage Pairs) by Dan Katz

TomTom (Cage Pairs) by Dan Katz


or solve online (using our beta test of Penpa-Edit tools)

Theme: One-Two Punch

Author/Opus: This is the 16th puzzle from guest contributor Dan Katz.

Rules: Standard TomTom rules, using the integers 1-6. Additionally, no clue numbers are given for the cages, but clue numbers are given for adjacent pairs of cages. For each clue number, it must be possible to apply one operation to the digits in the first cage, a different operation to the digits in the second cage, and a third operation (different from the first two) to the two cage results to obtain the given clue number.

See also this example:

TomTom (Cage Pairs) example by Serkan Yürekli

Difficulty: 4.5 stars

Time Standards (highlight to view): Grandmaster = 6:15, Master = 17:30, Expert = 35:00

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic TomTom and this link for TomTom variations. If you are new to this puzzle type, here are our easiest TomTom to get started on. More TomTom puzzles can be found in the TomTom collection, in The Art of Puzzles, and in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli.

  • sudgy says:

    I’ve broken this puzzle, and I can’t figure out what I did wrong. Here’s my progress: (spoilers of course, although I’m not very far). V fgnegrq ng gur obggbz evtug jvgu gur fvk svir fvk, hfrq gung gb trg gur obggbz yrsg cnegyl qbar, hfrq gung gb svavfu gur obggbz evtug, svyyrq va gur obggbz zvqqyr, naq abj V’z fghpx. V pna’g svaq nal jnl gb svavfu gur gjryir ba gur obggbz jvgubhg erhfvat na bcrengvba.

    • Avatar photo drsudoku says:

      You are on the right track and everything looks fine in your image. Juvyr lbh zvtug guvax ynetr inyhrf erdhver zhygvcyvpngvba be nqqvgvba, gurer ner fbzr farnxl jnlf n qvssrerag bcrengvba pna jbex bhg gb fgvyy trg lbh gung gjryir. Fgneg ol pbasvezvat jung inyhr gur guerr naq gjb pntr zhfg tvir.

  • Teddy says:

    This is a great variation. Second guessed myself with some of the deductions.

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