Web Paint-by-Number Forum
Comments on Puzzle #26873: MY HEROS
By Dan Tomlinson ()

peek at solution       solve puzzle
  quality:   difficulty:   solvability: moderate lookahead  

Puzzle Description:

(This puzzle was recovered from the 2016 database crash. Description not available.)

#1: Wombat (wombatilim) on Mar 19, 2023 [HINT]       classify

Initial LL completes 28%.

R29: EL shows the 5 cannot go to the left of C12. While we can't determine whether the black in C13 is the 5 or the 2, we can mark C11 white either way.

C4: Given that there are single 1s in C3 and C5, and C4 is close enough to the edge to trigger any first clue in a row larger than a 1, the 7 cannot cross more than two >1 clues. The only placement where this works is in R2-8. LL.

R29: Regardless of whether the black in C13 goes into C12 or C14, R28C14 is white.

C7: EL marks R21-22 white. LL.

C7: If the bottom 4 goes into R25, R27-29 C8 are black. If the bottom 4 goes into C29 instead, the black at R26C9 goes into R25, and R27-29 C8 are still black. LL.

R23: Whichever way the 2nd 2 goes, it uses up the 2nd 1 in R21, so R21C14 is black. LL.

C19: If the 7 is placed in R21-27, it makes C22 invalid. It must go into R2-8 instead. LL.

R29: No matter how the 4 is placed, the black in R28C21 is the 2nd 1 in R28. LL.

R23: If the 2nd 2 goes into C9, it completes that column. This makes R12-14 C6 black, which in turn makes C8 invalid. Therefore the 2nd 2 in R23 must go into C11 instead. LL.

C10: The 3 can't go into R16-18 or it makes C9 invalid, so it must go into R10-12 instead. LL.

R2: Whether C27 or C28 is black, R3C27 must be black. LL, then the same logic can be repeated in R7. LL.

R17: If the 3rd 2 goes into C22, R22C22 is white. If the 2 goes into C20 instead, it pushes the 2nd 5 in R21 into C24, and R22C22 is still white. LL.

R29: EL marks C23 white. LL.

R21: Whichever way the 3 goes, it starts the 2 in R22, so R22C24 can be marked white.

LL to finish.
#2: Web Paint-By-Number Robot (webpbn) on Mar 19, 2023       classify
Found to have a unique solution by wombatilim.
#3: Web Paint-By-Number Robot (webpbn) on Mar 19, 2023       classify
Found to be solvable with moderate lookahead by wombatilim.

Goto next topic

You must register and log in to be able to participate in this discussion.