[CV084] Which Boxes to Move?

084 - Which Boxes to Move?

Which Boxes to Move? is a puzzle in Professor Layton and the Curious Village.

Puzzle

In preparation for your big move, you've packed your belongings into 20 boxes and arranged them as shown below. With everything packed, you are now ready to label each box with its contents. In order to do so, though, you'll need to move a few boxes around.

How many of the boxes can't be labeled without rearranging the stacks?

Hints

Click a Tab to reveal the Hint.

Fourteen boxes are visible in the illustration. You have to use what you can see to visualize where the hidden boxes are.

You can clearly see all the boxes in the top two levels of the pile, so you only need to worry about the two layers of boxes closest to the ground.

The boxes are stacked upon each other, so any box not directly on the ground must have another box supporting it from below.

Knowing this, you can infer that there are no fewer than six boxes in the layer that's second from the bottom, and no fewer than nine boxes resting directly on the floor.

Working from the ground up, you can deduce there are nine boxes on the first layer, six boxes on the second layer, four boxes on the third layer, and then one box that rests on the entire stack. That gives you a total of 20 boxes, which is how many the puzzle says you have.

With all boxes accounted for, all you need to do is figure out which of these hidden boxes are completely surrounded by other boxes on all sides.

Solution

Incorrect

Too bad!

There are 20 boxes in total. Try to figure out how many boxes are on each level of the pile.

Correct

Quite right!

Moving down from the top level, you have one, four, six, and nine boxes. The only boxes you can't access without rearranging things are the three indicated in the above picture.

A big thanks to http://professorlaytonwalkthrough.blogspot.com

v · d · ePuzzles in Professor Layton and the Curious Village

Normal	001 002 003 004 005 UK 006 007 008 009 010 UK 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 UK 046 UK 047 048 049 050 UK 051 052 053 054 055 056 057 058 059 060 061 062 UK 063 064 065 066 UK 067 UK 068 069 070 071 072 UK 073 074 075 076 UK 077 078 079 080 081 082 083 084 085 UK 086 087 088 UK 089 090 091 092 093 094 095 096 UK 097 098 099 100 101 102 103 104 105 106 107 108 109 110 111 UK 112 113 UK 114 115 116 117 118 119 120 121 122 123 124 UK 125 126 127 128 129 130 131 132 133 134 135

Weekly	See here for weekly puzzles

Puzzle Index: CV · DB · UF · LS · MM · AL · VS

[CV084] Which Boxes to Move?

Contents

Puzzle

Hints

Solution

Incorrect

Correct

Fan Feed