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Homework 6: Bridges Recursion Contest

Student Puzzles selected for Contest

b****y_1, 1278 solutions


C#.#.#A
#.#.#.#
.#.#.#.
#B#.#B#
.#.#.#.
#.#.#.#
C#.#.#A

+---+---+---+---+---+---+---+
|                           |
| C   #   aaaa#aaaa   #   A |
| c       a       a       a |
+ c +   + a +   + a +   + a +
| c       a       a       a |
| #       #   bbbb#bbbb   # |
| c       a   b   a   b   a |
+ c +   + a + b + a + b + a +
| c       a   b   a   b   a |
| c   #   a   #   aaaa#aaaa |
| c       a   b       b     |
+ c +   + a + b +   + b +   +
| c       a   b       b     |
| #   B   #   b   #   B   # |
| c   b   a   b             |
+ c + b + a + b +   +   +   +
| c   b   a   b             |
| c   #   a   #   aaaa#aaaa |
| c   b   a   b   a       a |
+ c + b + a + b + a +   + a +
| c   b   a   b   a       a |
| #   bbbb#bbbb   #       # |
| c       a       a       a |
+ c +   + a +   + a +   + a +
| c       a       a       a |
| C   #   aaaa#aaaa   #   A |
|                           |
+---+---+---+---+---+---+---+
b****e_1, 51 different paths


C..A.
A....
.###.
B.#..
C..B.

+---+---+---+---+---+
|                   |
| C   bbbbb   A     |
|     b   b         |
+   + b + b +   +   +
|     b   b         |
| A   b   bbbbb     |
|     b       b     |
+   + b +   + b +   +
|     b       b     |
|     #   #   #     |
|     b       b     |
+   + b +   + b +   +
|     b       b     |
| Bbbbb   #   bbbbb |
|                 b |
+   +   +   +   + b +
|                 b |
| C           Bbbbb |
|                   |
+---+---+---+---+---+

b****a9_2, 20 solutions


B......FA
X#######.
.#.C...#.
.#.###.#.
W#X#A#.#.
.#.###.#W
.#.....#.
.#######.
CF......B

+---+---+---+---+---+---+---+---+---+
|                                   |
| Bbbbbbbbbbbbbbbbbbbbbbbbb   F   A |
|                         b   f   a |
+   +   +   +   +   +   + b + f + a +
|                         b   f   a |
| X   #   #   #   #   #   #   #   a |
| x                       b   f   a |
+ x +   +   +   +   +   + b + f + a +
| x                       b   f   a |
| xxxx#xxxx   C       bbbbb   #   a |
|         x   c       b       f   a |
+   +   + x + c +   + b +   + f + a +
|         x   c       b       f   a |
|     #   x   #   #   #   aaaa#aaaa |
|         x   c       b   a   f     |
+   +   + x + c +   + b + a + f +   +
|         x   c       b   a   f     |
| W   #   X   #   Aaaa#aaaa   #     |
| w           c       b       f     |
+ w +   +   + c +   + b +   + f +   +
| w           c       b       f     |
| wwww#wwwwwww#www#www#wwwwwww#wwwW |
|             c       b       f     |
+   +   +   + c +   + b +   + f +   +
|             c       b       f     |
| cccc#cccccccc       bbbbbbbb#bbbb |
| c                           f   b |
+ c +   +   +   +   +   +   + f + b +
| c                           f   b |
| c   #   #   #   #   #   #   #   b |
| c                           f   b |
+ c +   +   +   +   +   +   + f + b +
| c                           f   b |
| C   Fffffffffffffffffffffffff   B |
|                                   |
+---+---+---+---+---+---+---+---+---+

b****n_2, 20 solutions


.....
...A.
..B..
.....
A...B

+---+---+---+---+---+
|                   |
| aaaaa   aaaaa     |
| a   a   a   a     |
+ a + a + a + a +   +
| a   a   a   a     |
| a   aaaaa   A     |
| a                 |
+ a +   +   +   +   +
| a                 |
| a       B   bbbbb |
| a       b   b   b |
+ a +   + b + b + b +
| a       b   b   b |
| aaaaa   b   b   b |
|     a   b   b   b |
+   + a + b + b + b +
|     a   b   b   b |
| Aaaaa   bbbbb   B |
|                   |
+---+---+---+---+---+

c****l_1, No solutions


......ABC
.B.D..D..
.........
.........
.AEF..GH.
.........
..F.....H
......C.G
..I.E...I

+---+---+---+---+---+---+---+---+---+
|                                   |
|                         A   B   C |
|                                   |
+   +   +   +   +   +   +   +   +   +
|                                   |
|     B       D           D         |
|                                   |
+   +   +   +   +   +   +   +   +   +
|                                   |
|                                   |
|                                   |
+   +   +   +   +   +   +   +   +   +
|                                   |
|                                   |
|                                   |
+   +   +   +   +   +   +   +   +   +
|                                   |
|     A   E   F           G   H     |
|                                   |
+   +   +   +   +   +   +   +   +   +
|                                   |
|                                   |
|                                   |
+   +   +   +   +   +   +   +   +   +
|                                   |
|         F                       H |
|                                   |
+   +   +   +   +   +   +   +   +   +
|                                   |
|                         C       G |
|                                   |
+   +   +   +   +   +   +   +   +   +
|                                   |
|         I       E               I |
|                                   |
+---+---+---+---+---+---+---+---+---+

c***c_1, 207 solutions


.....A.
.#####.
..####.
.FF###.
.BBA##.
.DDEE#.
.......

+---+---+---+---+---+---+---+
|                           |
| fffff       aaaaaaaaA     |
| f   f       a             |
+ f + f +   + a +   +   +   +
| f   f       a             |
| f   #   #   #   #   #     |
| f   f       a             |
+ f + f +   + a +   +   +   +
| f   f       a             |
| f   ffff#fff#fff#fff#ffff |
| f           a           f |
+ f +   +   + a +   +   + f +
| f           a           f |
| ffffF   Ffff#fff#fff#ffff |
|             a             |
+   +   +   + a +   +   +   +
|             a             |
|     BbbbB   A   #   #     |
|                           |
+   +   +   +   +   +   +   +
|                           |
|     D   D   E   Eeee#eeee |
|     d   d   e           e |
+   + d + d + e +   +   + e +
|     d   d   e           e |
|     ddddd   eeeeeeeeeeeee |
|                           |
+---+---+---+---+---+---+---+

c***c_2, 73 solutions


.....
.###.
.#A#.
.###.
.#A#.
.###.
.....

+---+---+---+---+---+
|                   |
|                   |
|                   |
+   +   +   +   +   +
|                   |
|     #   #   #     |
|                   |
+   +   +   +   +   +
|                   |
|     #   Aaaa#aaaa |
|                 a |
+   +   +   +   + a +
|                 a |
| aaaa#aaa#aaa#aaaa |
| a                 |
+ a +   +   +   +   +
| a                 |
| a   #   A   #     |
| a       a         |
+ a +   + a +   +   +
| a       a         |
| a   #   #   #     |
| a       a         |
+ a +   + a +   +   +
| a       a         |
| aaaaaaaaa         |
|                   |
+---+---+---+---+---+

e****d_1, 768 solutions


.A.B.
.....
..#..
C###C
..#..
.....
.B.A.

+---+---+---+---+---+
|                   |
|     Aaaaa   Bbbbb |
|         a       b |
+   +   + a +   + b +
|         a       b |
|         a   bbbbb |
|         a   b     |
+   +   + a + b +   +
|         a   b     |
|     bbbb#bbbb     |
|     b   a         |
+   + b + a +   +   +
|     b   a         |
| Cccc#ccc#ccc#cccC |
|     b   a         |
+   + b + a +   +   +
|     b   a         |
|     b   #         |
|     b   a         |
+   + b + a +   +   +
|     b   a         |
| bbbbb   aaaaaaaaa |
| b               a |
+ b +   +   +   + a +
| b               a |
| bbbbB       Aaaaa |
|                   |
+---+---+---+---+---+

f****a_1, 42 paths


A..BA
CD...
...#.
.D..E
CB.E.

+---+---+---+---+---+
|                   |
| Aaaaaaaaa   B   A |
|         a       a |
+   +   + a +   + a +
|         a       a |
| C   D   a   aaaaa |
|         a   a     |
+   +   + a + a +   +
|         a   a     |
|         a   #     |
|         a   a     |
+   +   + a + a +   +
|         a   a     |
|     D   aaaaa   E |
|                   |
+   +   +   +   +   +
|                   |
| C   B       E     |
|                   |
+---+---+---+---+---+

f****a_2, 1 solution with board covered


.....A..
B..C....
....DA#.
..#.....
....E.F.
C.FD....
GH..HG..
......EB

+---+---+---+---+---+---+---+---+
|                               |
| bbbbbbbbbbbbbbbbb   Aaaaaaaaa |
| b               b           a |
+ b +   +   +   + b +   +   + a +
| b               b           a |
| B   ccccccccC   bbbbbbbbb   a |
|     c                   b   a |
+   + c +   +   +   +   + b + a +
|     c                   b   a |
| ccccc   ddddddddD   Aaaa#aaaa |
| c       d               b     |
+ c +   + d +   +   +   + b +   +
| c       d               b     |
| c   ffff#ffffffffffff   bbbbb |
| c   f   d           f       b |
+ c + f + d +   +   + f +   + b +
| c   f   d           f       b |
| c   f   ddddd   E   ffffF   b |
| c   f       d   e           b |
+ c + f +   + d + e +   +   + b +
| c   f       d   e           b |
| C   ffffF   D   eeeeeeeee   b |
|                         e   b |
+   +   +   +   +   +   + e + b +
|                         e   b |
| G   HhhhhhhhhhhhH   G   e   b |
| g                   g   e   b |
+ g +   +   +   +   + g + e + b +
| g                   g   e   b |
| ggggggggggggggggggggg   E   B |
|                               |
+---+---+---+---+---+---+---+---+

h****b2_1, 738 paths for color C


..G..CY
.....R.
..O....
..B..#.
....O..
.C.BY..
....GR.

+---+---+---+---+---+---+---+
|                           |
|         G       ccccC   Y |
|                 c         |
+   +   +   +   + c +   +   +
|                 c         |
|                 c   R     |
|                 c         |
+   +   +   +   + c +   +   +
|                 c         |
|         O       ccccccccc |
|                         c |
+   +   +   +   +   +   + c +
|                         c |
|         B   cccccccc#cccc |
|             c             |
+   +   +   + c +   +   +   +
|             c             |
| ccccc   ccccc   O         |
| c   c   c                 |
+ c + c + c +   +   +   +   +
| c   c   c                 |
| c   C   c   B   Y         |
| c       c                 |
+ c +   + c +   +   +   +   +
| c       c                 |
| ccccccccc       G   R     |
|                           |
+---+---+---+---+---+---+---+

k***j8_1, 1774 paths for color A


A.......
.A......
..B.....
...B....
....C...
.....C..
......D.
.......D

+---+---+---+---+---+---+---+---+
|                               |
| Aaaaaaaaaaaaaaaaaaaaaaaaaaaaa |
|                             a |
+   +   +   +   +   +   +   + a +
|                             a |
|     Aaaaaaaaa   aaaaa       a |
|             a   a   a       a |
+   +   +   + a + a + a +   + a +
|             a   a   a       a |
|         B   aaaaa   aaaaa   a |
|                         a   a |
+   +   +   +   +   +   + a + a +
|                         a   a |
|             B       aaaaa   a |
|                     a       a |
+   +   +   +   +   + a +   + a +
|                     a       a |
|                 C   aaaaa   a |
|                         a   a |
+   +   +   +   +   +   + a + a +
|                         a   a |
|                     C   aaaaa |
|                               |
+   +   +   +   +   +   +   +   +
|                               |
|                         D     |
|                               |
+   +   +   +   +   +   +   +   +
|                               |
|                             D |
|                               |
+---+---+---+---+---+---+---+---+

k****x_1, 5 solutions with board covered


......
C....C
O#..#O
DDE...
..E...
......
......

+---+---+---+---+---+---+
|                       |
| ccccccccccccccccccccc |
| c                   c |
+ c +   +   +   +   + c +
| c                   c |
| C   ddddddddddddd   C |
|     d           d     |
+   + d +   +   + d +   +
|     d           d     |
| Oooo#ooooooooooo#oooO |
|     d           d     |
+   + d +   +   + d +   +
|     d           d     |
| D   D   Eeeee   ddddd |
| d           e       d |
+ d +   +   + e +   + d +
| d           e       d |
| d   eeeeE   e   ddddd |
| d   e       e   d     |
+ d + e +   + e + d +   +
| d   e       e   d     |
| d   eeeeeeeee   ddddd |
| d                   d |
+ d +   +   +   +   + d +
| d                   d |
| ddddddddddddddddddddd |
|                       |
+---+---+---+---+---+---+

l****r_1, 8 solutions


A....
...#.
....B
C.##C
B...A

+---+---+---+---+---+
|                   |
| Aaaaaaaaaaaaa     |
|             a     |
+   +   +   + a +   +
|             a     |
|         bbbb#bbbb |
|         b   a   b |
+   +   + b + a + b +
|         b   a   b |
| ccccc   b   a   B |
| c   c   b   a     |
+ c + c + b + a +   +
| c   c   b   a     |
| C   cccc#ccc#cccC |
|         b   a     |
+   +   + b + a +   +
|         b   a     |
| Bbbbbbbbb   aaaaA |
|                   |
+---+---+---+---+---+

l**r12_1, 77 paths


.....
AA.B.
...B.
...CC
.....

+---+---+---+---+---+
|                   |
|         ccccccccc |
|         c       c |
+   +   + c +   + c +
|         c       c |
| A   A   c   B   c |
|         c       c |
+   +   + c +   + c +
|         c       c |
|     ccccc   B   c |
|     c           c |
+   + c +   +   + c +
|     c           c |
| ccccc       C   C |
| c           c     |
+ c +   +   + c +   +
| c           c     |
| ccccccccccccc     |
|                   |
+---+---+---+---+---+

l**r12_2, 1 solutions


D....PGC
.O......
.D..G...
.B...#BY
...P..C.
X.....Z.
...OX.Y.
.......Z

+---+---+---+---+---+---+---+---+
|                               |
| Ddddddddd   ppppppppP   G   C |
|         d   p           g   c |
+   +   + d + p +   +   + g + c +
|         d   p           g   c |
| ooooO   d   p   ggggggggg   c |
| o       d   p   g           c |
+ o +   + d + p + g +   +   + c +
| o       d   p   g           c |
| o   Ddddd   p   G   ccccccccc |
| o           p       c         |
+ o +   +   + p +   + c +   +   +
| o           p       c         |
| o   Bbbbb   p   bbbb#bbbB   Y |
| o       b   p   b   c       y |
+ o +   + b + p + b + c +   + y +
| o       b   p   b   c       y |
| ooooo   b   P   b   ccccC   y |
|     o   b       b           y |
+   + o + b +   + b +   +   + y +
|     o   b       b           y |
| X   o   bbbbbbbbb   zzzzZ   y |
| x   o               z       y |
+ x + o +   +   +   + z +   + y +
| x   o               z       y |
| x   ooooooooO   X   z   Yyyyy |
| x               x   z         |
+ x +   +   +   + x + z +   +   +
| x               x   z         |
| xxxxxxxxxxxxxxxxx   zzzzzzzzZ |
|                               |
+---+---+---+---+---+---+---+---+

l***m_1, 5 solutions that cover board


......V
.......
.P...G.
.V.R..P
.M.GY#.
.R.....
.MY....

+---+---+---+---+---+---+---+
|                           |
| vvvvvvvvvvvvvvvvvvvvvvvvV |
| v                         |
+ v +   +   +   +   +   +   +
| v                         |
| v   ppppp   ppppppppppppp |
| v   p   p   p           p |
+ v + p + p + p +   +   + p +
| v   p   p   p           p |
| v   P   ppppp   ggggG   p |
| v               g       p |
+ v +   +   +   + g +   + p +
| v               g       p |
| vvvvV   rrrrR   ggggg   P |
|         r           g     |
+   +   + r +   +   + g +   +
|         r           g     |
| mmmmM   r   G   Yyyy#yyyy |
| m       r   g       g   y |
+ m +   + r + g +   + g + y +
| m       r   g       g   y |
| m   Rrrrr   ggggggggg   y |
| m                       y |
+ m +   +   +   +   +   + y +
| m                       y |
| mmmmM   Yyyyyyyyyyyyyyyyy |
|                           |
+---+---+---+---+---+---+---+

m****b3_1, 1 solution that covers board


MORBIUS
.......
.......
.......
.......
.......
MORBIUS

+---+---+---+---+---+---+---+
|                           |
| M   O   R   B   I   U   S |
| m   o   r   b   i   u   s |
+ m + o + r + b + i + u + s +
| m   o   r   b   i   u   s |
| m   o   r   b   i   u   s |
| m   o   r   b   i   u   s |
+ m + o + r + b + i + u + s +
| m   o   r   b   i   u   s |
| m   o   r   b   i   u   s |
| m   o   r   b   i   u   s |
+ m + o + r + b + i + u + s +
| m   o   r   b   i   u   s |
| m   o   r   b   i   u   s |
| m   o   r   b   i   u   s |
+ m + o + r + b + i + u + s +
| m   o   r   b   i   u   s |
| m   o   r   b   i   u   s |
| m   o   r   b   i   u   s |
+ m + o + r + b + i + u + s +
| m   o   r   b   i   u   s |
| m   o   r   b   i   u   s |
| m   o   r   b   i   u   s |
+ m + o + r + b + i + u + s +
| m   o   r   b   i   u   s |
| M   O   R   B   I   U   S |
|                           |
+---+---+---+---+---+---+---+

n****b_1, No solutions


A...G....C
.B..####B.
A...G....C
E.E.H....H
..........
..........

+---+---+---+---+---+---+---+---+---+---+
|                                       |
| A               G                   C |
|                                       |
+   +   +   +   +   +   +   +   +   +   +
|                                       |
|     B           #   #   #   #   B     |
|                                       |
+   +   +   +   +   +   +   +   +   +   +
|                                       |
| A               G                   C |
|                                       |
+   +   +   +   +   +   +   +   +   +   +
|                                       |
| E       E       H                   H |
|                                       |
+   +   +   +   +   +   +   +   +   +   +
|                                       |
|                                       |
|                                       |
+   +   +   +   +   +   +   +   +   +   +
|                                       |
|                                       |
|                                       |
+---+---+---+---+---+---+---+---+---+---+

r****f_2, 52 paths for color A


#...A#
...C..
.C.B..
..B...
.A..#.
#....#

+---+---+---+---+---+---+
|                       |
| #               A   # |
|                 a     |
+   +   +   +   + a +   +
|                 a     |
|             C   aaaaa |
|                     a |
+   +   +   +   +   + a +
|                     a |
|     C       B       a |
|                     a |
+   +   +   +   +   + a +
|                     a |
|         B   aaaaaaaaa |
|             a         |
+   +   +   + a +   +   +
|             a         |
|     A       a   #     |
|     a       a         |
+   + a +   + a +   +   +
|     a       a         |
| #   aaaaaaaaa       # |
|                       |
+---+---+---+---+---+---+

s***y9_1, 49 solutions


.#B#C#
.#.#.#
.#.#.#
.#.#.#
.#.#.#
B#C#.#

+---+---+---+---+---+---+
|                       |
| bbbb#bbbB   #   C   # |
| b               c     |
+ b +   +   +   + c +   +
| b               c     |
| bbbb#bbbb   #   c   # |
|         b       c     |
+   +   + b +   + c +   +
|         b       c     |
| bbbb#bbbb   #   c   # |
| b               c     |
+ b +   +   +   + c +   +
| b               c     |
| b   #   cccc#cccc   # |
| b       c             |
+ b +   + c +   +   +   +
| b       c             |
| b   #   cccc#cccc   # |
| b               c     |
+ b +   +   +   + c +   +
| b               c     |
| B   #   Cccc#cccc   # |
|                       |
+---+---+---+---+---+---+

s***s3_1, 1 solution


Z..................................................Z
.Y................................................Y.
..X..............................................X..
...W............................................W...
....V..........................................V....
.....U........................................U.....
......T......................................T......
.......S....................................S.......
........R..................................R........
.........Q................................Q.........
..........P..............................P..........
...........O............................O...........
............N..........................N............
.............M........................M.............
..............L......................L..............
...............K....................K...............
................J..................J................
.................I................I.................
..................H..............H..................
...................G............G...................
....................F..........F....................
.....................E........E.....................
......................D......D......................
.......................C....C.......................
........................B..B........................
.........................AA.........................

+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+
|                                                                                                                                                                                                               |
| ZzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzZ |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|     YyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyY     |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|         XxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxX         |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|             WwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwW             |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                 VvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvV                 |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                     UuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuU                     |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                         TtttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttT                         |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                             SsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssS                             |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                 RrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrR                                 |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                     QqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqQ                                     |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                         PpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppP                                         |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                             OoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooO                                             |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                 NnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnN                                                 |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                     MmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmM                                                     |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                         LlllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllL                                                         |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                             KkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkK                                                             |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                                 JjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjJ                                                                 |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                                     IiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiI                                                                     |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                                         HhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhH                                                                         |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                                             GgggggggggggggggggggggggggggggggggggggggggggggggggggG                                                                             |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                                                 FfffffffffffffffffffffffffffffffffffffffffffF                                                                                 |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                                                     EeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeE                                                                                     |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                                                         DdddddddddddddddddddddddddddD                                                                                         |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                                                             CcccccccccccccccccccC                                                                                             |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                                                                 BbbbbbbbbbbbB                                                                                                 |
|                                                                                                                                                                                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                                                                                                                                                                               |
|                                                                                                     AaaaA                                                                                                     |
|                                                                                                                                                                                                               |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+

t****a_1, 1 solution that covers board


A........
BBCCDDEE.
.......F.
.NOOPP.F.
.N...Q.G.
.M.SAQ.G.
.M.SRR.H.
.L.....H.
.LKKJJII.
.........

+---+---+---+---+---+---+---+---+---+
|                                   |
| Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa |
|                                 a |
+   +   +   +   +   +   +   +   + a +
|                                 a |
| BbbbB   CcccC   DdddD   EeeeE   a |
|                                 a |
+   +   +   +   +   +   +   +   + a +
|                                 a |
| aaaaaaaaaaaaaaaaaaaaaaaaa   F   a |
| a                       a   f   a |
+ a +   +   +   +   +   + a + f + a +
| a                       a   f   a |
| a   N   OoooO   PpppP   a   F   a |
| a   n                   a       a |
+ a + n +   +   +   +   + a +   + a +
| a   n                   a       a |
| a   N   aaaaaaaaa   Q   a   G   a |
| a       a       a   q   a   g   a |
+ a +   + a +   + a + q + a + g + a +
| a       a       a   q   a   g   a |
| a   M   a   S   A   Q   a   G   a |
| a   m   a   s           a       a |
+ a + m + a + s +   +   + a +   + a +
| a   m   a   s           a       a |
| a   M   a   S   RrrrR   a   H   a |
| a       a               a   h   a |
+ a +   + a +   +   +   + a + h + a +
| a       a               a   h   a |
| a   L   aaaaaaaaaaaaaaaaa   H   a |
| a   l                           a |
+ a + l +   +   +   +   +   +   + a +
| a   l                           a |
| a   L   KkkkK   JjjjJ   IiiiI   a |
| a                               a |
+ a +   +   +   +   +   +   +   + a +
| a                               a |
| aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa |
|                                   |
+---+---+---+---+---+---+---+---+---+

w***j3_2, 1 solution that covers board


A.B....
C.AD.D.
....B..
...C...
EFE..G.
.#..F..
H....GH

+---+---+---+---+---+---+---+
|                           |
| Aaaaa   Bbbbbbbbbbbbbbbbb |
|     a                   b |
+   + a +   +   +   +   + b +
|     a                   b |
| C   aaaaA   DdddddddD   b |
| c                       b |
+ c +   +   +   +   +   + b +
| c                       b |
| ccccccccccccc   Bbbbbbbbb |
|             c             |
+   +   +   + c +   +   +   +
|             c             |
| eeeeeeeee   C   hhhhhhhhh |
| e       e       h       h |
+ e +   + e +   + h +   + h +
| e       e       h       h |
| E   F   E   hhhhh   G   h |
|     f       h       g   h |
+   + f +   + h +   + g + h +
|     f       h       g   h |
| hhhh#hhhhhhhh   F   g   h |
| h   f           f   g   h |
+ h + f +   +   + f + g + h +
| h   f           f   g   h |
| H   fffffffffffff   G   H |
|                           |
+---+---+---+---+---+---+---+

w****k2_1, 63 paths for color B


B....
#..#.
#A...
##...
.B..A

+---+---+---+---+---+
|                   |
| Bbbbb   bbbbb     |
|     b   b   b     |
+   + b + b + b +   +
|     b   b   b     |
| #   bbbbb   #     |
|             b     |
+   +   +   + b +   +
|             b     |
| #   A       b     |
|             b     |
+   +   +   + b +   +
|             b     |
| #   #   bbbbb     |
|         b         |
+   +   + b +   +   +
|         b         |
|     Bbbbb       A |
|                   |
+---+---+---+---+---+

w****a_2, no solutions that cover board


D.T..T.UCU..
..#..#..#.R.
.R.A...#....
..#..S..S#..
...D..A.C...
............

+---+---+---+---+---+---+---+---+---+---+---+---+
|                                               |
| D       T           T       U   C   U         |
|                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +
|                                               |
|         #           #           #       R     |
|                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +
|                                               |
|     R       A               #                 |
|                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +
|                                               |
|         #           S           S   #         |
|                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +
|                                               |
|             D           A       C             |
|                                               |
+   +   +   +   +   +   +   +   +   +   +   +   +
|                                               |
|                                               |
|                                               |
+---+---+---+---+---+---+---+---+---+---+---+---+

z**r7_1, no solutions


#.######S#.##
.#O......NA#.
G#.........K#
#..#SKULL#..E
#..##...##..#
##....#....##
###..###..###
##G.R.O.U.P##
.##.#.#.####.
#.#PATTERN#.#

+---+---+---+---+---+---+---+---+---+---+---+---+---+
|                                                   |
| #       #   #   #   #   #   #   S   #       #   # |
|                                                   |
+   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                   |
|     #   O                           N   A   #     |
|                                                   |
+   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                   |
| G   #                                       K   # |
|                                                   |
+   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                   |
| #           #   S   K   U   L   L   #           E |
|                                                   |
+   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                   |
| #           #   #               #   #           # |
|                                                   |
+   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                   |
| #   #                   #                   #   # |
|                                                   |
+   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                   |
| #   #   #           #   #   #           #   #   # |
|                                                   |
+   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                   |
| #   #   G       R       O       U       P   #   # |
|                                                   |
+   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                   |
|     #   #       #       #       #   #   #   #     |
|                                                   |
+   +   +   +   +   +   +   +   +   +   +   +   +   +
|                                                   |
| #       #   P   A   T   T   E   R   N   #       # |
|                                                   |
+---+---+---+---+---+---+---+---+---+---+---+---+---+

z**r7_2, 4 solutions that cover board


.K........O....
..###VSFC..YCE.
..Y.....#.F.#.O
.V..X..S.E...P.
K..B...B..J..W.
X....TD.D.#.P..
...HI.I..R.N.#.
T.G...Z.LMJ.U#.
G.Q..R....N.W.U
....#H...#.L...
...Q.ZA.A..M...

+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+
|                                                           |
| kkkkK   yyyyy   yyyyyyyyyyyyyyyyyyyyy   Ooooooooooooooooo |
| k       y   y   y                   y                   o |
+ k +   + y + y + y +   +   +   +   + y +   +   +   +   + o +
| k       y   y   y                   y                   o |
| k   vvvv#vvv#vvv#vvvV   S   F   C   yyyyyyyyY   C   E   o |
| k   v   y   y   y       s   f   c               c   e   o |
+ k + v + y + y + y +   + s + f + c +   +   +   + c + e + o +
| k   v   y   y   y       s   f   c               c   e   o |
| k   v   Y   yyyyy   sssss   ffff#fffffffF   eeee#eeee   O |
| k   v               s           c           e   c         |
+ k + v +   +   +   + s +   +   + c +   +   + e + c +   +   +
| k   v               s           c           e   c         |
| k   V   xxxxxxxxX   ssssssssS   c   Eeeeeeeee   c   Ppppp |
| k       x                       c               c       p |
+ k +   + x +   +   +   +   +   + c +   +   +   + c +   + p +
| k       x                       c               c       p |
| K   xxxxx   BbbbbbbbbbbbbbbbB   ccccc   J   ccccc   W   p |
|     x                               c   j   c       w   p |
+   + x +   +   +   +   +   +   +   + c + j + c +   + w + p +
|     x                               c   j   c       w   p |
| Xxxxx   ttttttttttttT   DdddddddD   cccc#cccc   P   w   p |
|         t                               j       p   w   p |
+   +   + t +   +   +   +   +   +   +   + j +   + p + w + p +
|         t                               j       p   w   p |
| ttttttttt   H   IiiiiiiiI   rrrrrrrrR   j   N   pppp#pppp |
| t           h               r           j   n       w     |
+ t +   +   + h +   +   +   + r +   +   + j + n +   + w +   +
| t           h               r           j   n       w     |
| T   ggggG   h   zzzzzzzzZ   r   L   M   J   n   Uuuu#uuuu |
|     g       h   z           r   l   m       n       w   u |
+   + g +   + h + z +   +   + r + l + m +   + n +   + w + u +
|     g       h   z           r   l   m       n       w   u |
| G   g   Q   h   z   Rrrrrrrrr   l   m   Nnnnn   W   w   U |
| g   g   q   h   z               l   m           w   w     |
+ g + g + q + h + z +   +   +   + l + m +   +   + w + w +   +
| g   g   q   h   z               l   m           w   w     |
| g   g   q   hhhh#hhhH   aaaaa   llll#lllllllL   w   wwwww |
| g   g   q       z       a   a       m           w       w |
+ g + g + q +   + z +   + a + a +   + m +   +   + w +   + w +
| g   g   q       z       a   a       m           w       w |
| ggggg   qqqqQ   zzzzZ   A   aaaaA   mmmmmmmmM   wwwwwwwww |
|                                                           |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+

Overall Contest Results








Contest Prizes


Eccentric Pentominoes, designed by Bill Cutler


Pentominoes - MB, designed by Bill Cutler


Squeeze Me In, designed by Bill Cutler


Pearl in the Shell, designed by Bill Cutler