Bike Lock Word Ladders

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6












$begingroup$


We are going to construct word ladders, but unlike the classic word ladders in which only one letter can change per step, you may change as many letters as you like at each step. However, each letter can only move up or down one click in the alphabet.



For example, BOOMERS changes to COOLEST in a single step. (The B moves down to a C, the first O doesn't change, the second O doesn't change, the M moves up to an L, the E doesn't change, the R moves down to an S, and the S moves down to a T.)



For added fun, let's agree that A can move "up" to Z, and Z can move "down" to A. In other words, the alphabet forms a wheel. This might remind you of a bike lock, with alphabetical wheels in place of numerical wheels.



Let's walk through an example.



Go from PUTTING to PURRING in three steps:



start: PUTTING
step 1: OUSTING
step 2: PURSING
step 3: PURRING


Obviously, each intermediate step must also form a known word.



See if you can solve these:



1. Go from ACTRESS to BARTERS in five steps or fewer

2. Go from SKINLESS to SKILLETS in five steps or fewer

3. Go from DONNING to BONKING in six steps or fewer

4. Go from EARNEST to HAULERS in nine steps or fewer









share|improve this question









$endgroup$
















    6












    $begingroup$


    We are going to construct word ladders, but unlike the classic word ladders in which only one letter can change per step, you may change as many letters as you like at each step. However, each letter can only move up or down one click in the alphabet.



    For example, BOOMERS changes to COOLEST in a single step. (The B moves down to a C, the first O doesn't change, the second O doesn't change, the M moves up to an L, the E doesn't change, the R moves down to an S, and the S moves down to a T.)



    For added fun, let's agree that A can move "up" to Z, and Z can move "down" to A. In other words, the alphabet forms a wheel. This might remind you of a bike lock, with alphabetical wheels in place of numerical wheels.



    Let's walk through an example.



    Go from PUTTING to PURRING in three steps:



    start: PUTTING
    step 1: OUSTING
    step 2: PURSING
    step 3: PURRING


    Obviously, each intermediate step must also form a known word.



    See if you can solve these:



    1. Go from ACTRESS to BARTERS in five steps or fewer

    2. Go from SKINLESS to SKILLETS in five steps or fewer

    3. Go from DONNING to BONKING in six steps or fewer

    4. Go from EARNEST to HAULERS in nine steps or fewer









    share|improve this question









    $endgroup$














      6












      6








      6


      0



      $begingroup$


      We are going to construct word ladders, but unlike the classic word ladders in which only one letter can change per step, you may change as many letters as you like at each step. However, each letter can only move up or down one click in the alphabet.



      For example, BOOMERS changes to COOLEST in a single step. (The B moves down to a C, the first O doesn't change, the second O doesn't change, the M moves up to an L, the E doesn't change, the R moves down to an S, and the S moves down to a T.)



      For added fun, let's agree that A can move "up" to Z, and Z can move "down" to A. In other words, the alphabet forms a wheel. This might remind you of a bike lock, with alphabetical wheels in place of numerical wheels.



      Let's walk through an example.



      Go from PUTTING to PURRING in three steps:



      start: PUTTING
      step 1: OUSTING
      step 2: PURSING
      step 3: PURRING


      Obviously, each intermediate step must also form a known word.



      See if you can solve these:



      1. Go from ACTRESS to BARTERS in five steps or fewer

      2. Go from SKINLESS to SKILLETS in five steps or fewer

      3. Go from DONNING to BONKING in six steps or fewer

      4. Go from EARNEST to HAULERS in nine steps or fewer









      share|improve this question









      $endgroup$




      We are going to construct word ladders, but unlike the classic word ladders in which only one letter can change per step, you may change as many letters as you like at each step. However, each letter can only move up or down one click in the alphabet.



      For example, BOOMERS changes to COOLEST in a single step. (The B moves down to a C, the first O doesn't change, the second O doesn't change, the M moves up to an L, the E doesn't change, the R moves down to an S, and the S moves down to a T.)



      For added fun, let's agree that A can move "up" to Z, and Z can move "down" to A. In other words, the alphabet forms a wheel. This might remind you of a bike lock, with alphabetical wheels in place of numerical wheels.



      Let's walk through an example.



      Go from PUTTING to PURRING in three steps:



      start: PUTTING
      step 1: OUSTING
      step 2: PURSING
      step 3: PURRING


      Obviously, each intermediate step must also form a known word.



      See if you can solve these:



      1. Go from ACTRESS to BARTERS in five steps or fewer

      2. Go from SKINLESS to SKILLETS in five steps or fewer

      3. Go from DONNING to BONKING in six steps or fewer

      4. Go from EARNEST to HAULERS in nine steps or fewer






      wordplay word-ladder






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Jan 13 at 18:56









      SlowMagicSlowMagic

      2455




      2455




















          1 Answer
          1






          active

          oldest

          votes


















          6












          $begingroup$

          1. Four steps:



           ACTRESS
          ABUSERS
          BATTERS
          BASTERS
          BARTERS



          1. Three steps:



           SKINLESS
          SLIMMERS
          SLIMMEST
          SKILLETS



          1. Three steps:



           DONNING
          DOOMING
          COOLING
          BONKING



          1. Four steps:



           EARNEST
          FARMERS
          GASLESS
          HATLESS
          HAULERS






          share|improve this answer











          $endgroup$












          • $begingroup$
            Drat! The last one was giving me grief. Nicely done! But you need one more step for #1. [EDITED to add:] JA has fixed #1 now.
            $endgroup$
            – Gareth McCaughan
            Jan 13 at 20:42











          • $begingroup$
            ...Ah, so I do!
            $endgroup$
            – Jonathan Allan
            Jan 13 at 20:43










          • $begingroup$
            Added the missing entry.
            $endgroup$
            – Jonathan Allan
            Jan 13 at 20:45










          • $begingroup$
            I had the same solution as you (after the correction) for #1, and for #3, but an entirely different route for #2. I'd had hopes that we could get DOMMING into the solution aiming toward BONKING, but wasn't able to make that happen :-).
            $endgroup$
            – Gareth McCaughan
            Jan 13 at 20:46










          Your Answer





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          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          6












          $begingroup$

          1. Four steps:



           ACTRESS
          ABUSERS
          BATTERS
          BASTERS
          BARTERS



          1. Three steps:



           SKINLESS
          SLIMMERS
          SLIMMEST
          SKILLETS



          1. Three steps:



           DONNING
          DOOMING
          COOLING
          BONKING



          1. Four steps:



           EARNEST
          FARMERS
          GASLESS
          HATLESS
          HAULERS






          share|improve this answer











          $endgroup$












          • $begingroup$
            Drat! The last one was giving me grief. Nicely done! But you need one more step for #1. [EDITED to add:] JA has fixed #1 now.
            $endgroup$
            – Gareth McCaughan
            Jan 13 at 20:42











          • $begingroup$
            ...Ah, so I do!
            $endgroup$
            – Jonathan Allan
            Jan 13 at 20:43










          • $begingroup$
            Added the missing entry.
            $endgroup$
            – Jonathan Allan
            Jan 13 at 20:45










          • $begingroup$
            I had the same solution as you (after the correction) for #1, and for #3, but an entirely different route for #2. I'd had hopes that we could get DOMMING into the solution aiming toward BONKING, but wasn't able to make that happen :-).
            $endgroup$
            – Gareth McCaughan
            Jan 13 at 20:46















          6












          $begingroup$

          1. Four steps:



           ACTRESS
          ABUSERS
          BATTERS
          BASTERS
          BARTERS



          1. Three steps:



           SKINLESS
          SLIMMERS
          SLIMMEST
          SKILLETS



          1. Three steps:



           DONNING
          DOOMING
          COOLING
          BONKING



          1. Four steps:



           EARNEST
          FARMERS
          GASLESS
          HATLESS
          HAULERS






          share|improve this answer











          $endgroup$












          • $begingroup$
            Drat! The last one was giving me grief. Nicely done! But you need one more step for #1. [EDITED to add:] JA has fixed #1 now.
            $endgroup$
            – Gareth McCaughan
            Jan 13 at 20:42











          • $begingroup$
            ...Ah, so I do!
            $endgroup$
            – Jonathan Allan
            Jan 13 at 20:43










          • $begingroup$
            Added the missing entry.
            $endgroup$
            – Jonathan Allan
            Jan 13 at 20:45










          • $begingroup$
            I had the same solution as you (after the correction) for #1, and for #3, but an entirely different route for #2. I'd had hopes that we could get DOMMING into the solution aiming toward BONKING, but wasn't able to make that happen :-).
            $endgroup$
            – Gareth McCaughan
            Jan 13 at 20:46













          6












          6








          6





          $begingroup$

          1. Four steps:



           ACTRESS
          ABUSERS
          BATTERS
          BASTERS
          BARTERS



          1. Three steps:



           SKINLESS
          SLIMMERS
          SLIMMEST
          SKILLETS



          1. Three steps:



           DONNING
          DOOMING
          COOLING
          BONKING



          1. Four steps:



           EARNEST
          FARMERS
          GASLESS
          HATLESS
          HAULERS






          share|improve this answer











          $endgroup$



          1. Four steps:



           ACTRESS
          ABUSERS
          BATTERS
          BASTERS
          BARTERS



          1. Three steps:



           SKINLESS
          SLIMMERS
          SLIMMEST
          SKILLETS



          1. Three steps:



           DONNING
          DOOMING
          COOLING
          BONKING



          1. Four steps:



           EARNEST
          FARMERS
          GASLESS
          HATLESS
          HAULERS







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited Jan 13 at 20:45

























          answered Jan 13 at 20:40









          Jonathan AllanJonathan Allan

          17.7k14697




          17.7k14697











          • $begingroup$
            Drat! The last one was giving me grief. Nicely done! But you need one more step for #1. [EDITED to add:] JA has fixed #1 now.
            $endgroup$
            – Gareth McCaughan
            Jan 13 at 20:42











          • $begingroup$
            ...Ah, so I do!
            $endgroup$
            – Jonathan Allan
            Jan 13 at 20:43










          • $begingroup$
            Added the missing entry.
            $endgroup$
            – Jonathan Allan
            Jan 13 at 20:45










          • $begingroup$
            I had the same solution as you (after the correction) for #1, and for #3, but an entirely different route for #2. I'd had hopes that we could get DOMMING into the solution aiming toward BONKING, but wasn't able to make that happen :-).
            $endgroup$
            – Gareth McCaughan
            Jan 13 at 20:46
















          • $begingroup$
            Drat! The last one was giving me grief. Nicely done! But you need one more step for #1. [EDITED to add:] JA has fixed #1 now.
            $endgroup$
            – Gareth McCaughan
            Jan 13 at 20:42











          • $begingroup$
            ...Ah, so I do!
            $endgroup$
            – Jonathan Allan
            Jan 13 at 20:43










          • $begingroup$
            Added the missing entry.
            $endgroup$
            – Jonathan Allan
            Jan 13 at 20:45










          • $begingroup$
            I had the same solution as you (after the correction) for #1, and for #3, but an entirely different route for #2. I'd had hopes that we could get DOMMING into the solution aiming toward BONKING, but wasn't able to make that happen :-).
            $endgroup$
            – Gareth McCaughan
            Jan 13 at 20:46















          $begingroup$
          Drat! The last one was giving me grief. Nicely done! But you need one more step for #1. [EDITED to add:] JA has fixed #1 now.
          $endgroup$
          – Gareth McCaughan
          Jan 13 at 20:42





          $begingroup$
          Drat! The last one was giving me grief. Nicely done! But you need one more step for #1. [EDITED to add:] JA has fixed #1 now.
          $endgroup$
          – Gareth McCaughan
          Jan 13 at 20:42













          $begingroup$
          ...Ah, so I do!
          $endgroup$
          – Jonathan Allan
          Jan 13 at 20:43




          $begingroup$
          ...Ah, so I do!
          $endgroup$
          – Jonathan Allan
          Jan 13 at 20:43












          $begingroup$
          Added the missing entry.
          $endgroup$
          – Jonathan Allan
          Jan 13 at 20:45




          $begingroup$
          Added the missing entry.
          $endgroup$
          – Jonathan Allan
          Jan 13 at 20:45












          $begingroup$
          I had the same solution as you (after the correction) for #1, and for #3, but an entirely different route for #2. I'd had hopes that we could get DOMMING into the solution aiming toward BONKING, but wasn't able to make that happen :-).
          $endgroup$
          – Gareth McCaughan
          Jan 13 at 20:46




          $begingroup$
          I had the same solution as you (after the correction) for #1, and for #3, but an entirely different route for #2. I'd had hopes that we could get DOMMING into the solution aiming toward BONKING, but wasn't able to make that happen :-).
          $endgroup$
          – Gareth McCaughan
          Jan 13 at 20:46

















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