Statistics

Problem Statement for "CubeNets"

Problem Statement

In geometry a cube net is an arrangement of identical edge-joined squares in the plane which can be folded (along the edges) to become the faces of a cube.


In this problem you need to check if the given figure is a cube net. The given figure will be a union of six identical squares lying in the same plane and will be given to you as a String[] figure. Each element of figure will consist of '.' (dot) and '#' (sharp) characters only. A sharp represents one of the six squares, whereas a dot represents an empty space. Return "YES" if figure represents a cube net, or "NO" otherwise (all quotes for clarity).

Definition

Class:
CubeNets
Method:
isCubeNet
Parameters:
String[]
Returns:
String
Method signature:
String isCubeNet(String[] figure)
(be sure your method is public)

Constraints

  • figure will contain between 1 and 6 elements, inclusive.
  • Each element of figure will contain between 1 and 6 characters, inclusive.
  • Each element of figure will contain '.' (dot) and '#' (sharp) characters only.
  • All elements of figure will contain the same number of characters.
  • There will be exactly 6 '#' (sharp) characters among all the elements of figure.

Examples

  1. {"..#.", "####", "..#."}

    Returns: "YES"

    Here you can first fold across all the vertical edges to make the middle four squares become the down, right, up and left faces of the cube-to-be. One then finishes off the construction by folding across the remaining two edges to make the other two squares become the front and back faces of the cube.

  2. {"###", "###"}

    Returns: "NO"

    This is not a cube net.

  3. {"..#.", "####", ".#.."}

    Returns: "YES"

  4. {"##..", ".##.", "..##"}

    Returns: "YES"

  5. {"####", "...#", "...#"}

    Returns: "NO"

  6. {".#.","###",".#.",".#."}

    Returns: "YES"

  7. {"##.",".##",".#.",".#."}

    Returns: "YES"

  8. {".#.","##.",".##",".#."}

    Returns: "YES"

  9. {"##.",".#.",".#.",".##"}

    Returns: "YES"

  10. {"...#","####",".#.."}

    Returns: "YES"

  11. {".#..","####","...#"}

    Returns: "YES"

  12. {"##..",".###","..#."}

    Returns: "YES"

  13. {"##..",".###","...#"}

    Returns: "YES"

  14. {"..#.","###.","..##"}

    Returns: "YES"

  15. {"...#","####","...#"}

    Returns: "YES"

  16. {"....#",".####","....#"}

    Returns: "YES"

  17. {"....#.",".####.","....#."}

    Returns: "YES"

  18. {"......","....#.",".####.","....#."}

    Returns: "YES"

  19. {"#.....",".#....","..#...","...#..","....#.",".....#"}

    Returns: "NO"

  20. {"...#..","...##.","...##.","...#..","......","......"}

    Returns: "NO"

  21. {"...#..","...##.","......","...#..","...##.","......"}

    Returns: "NO"

  22. {"......","......","######","......","......","......"}

    Returns: "NO"

  23. {".....#",".....#","....##","....#.","....#.","......"}

    Returns: "YES"

  24. {"......",".#....","####..",".#....","......","......"}

    Returns: "YES"

  25. {"......","......","#####.","#.....","......","......"}

    Returns: "NO"

  26. {".##...","##....",".##...","......","......","......"}

    Returns: "NO"

  27. {"......","......","#####.",".#....","......","......"}

    Returns: "NO"

  28. {".#",".#","##","#.","#."}

    Returns: "YES"

  29. {".#",".#","##","#.",".#"}

    Returns: "NO"

  30. {".#","##",".#","#.","#."}

    Returns: "NO"

  31. {".#","##",".#",".#","#."}

    Returns: "NO"

  32. {"#","#","#","#","#","#"}

    Returns: "NO"

  33. {"######"}

    Returns: "NO"

  34. {"###..","..###"}

    Returns: "YES"

  35. {"..#.","####","#..."}

    Returns: "YES"

  36. { "..", "##", "#.", "##", "#." }

    Returns: "NO"

  37. { "....#.", "##.##.", ".#....", "......" }

    Returns: "NO"

  38. { ".#.", "...", "###", ".##" }

    Returns: "NO"

  39. { ".#", ".#", "#.", ".#", "##" }

    Returns: "NO"

  40. { "#..", ".##", "###" }

    Returns: "NO"

  41. { "##..", ".#..", "..#.", "#...", "..#." }

    Returns: "NO"

  42. { "....", "....", "#.#.", "##.#", "#..." }

    Returns: "NO"

  43. { "..##", "..##", "....", "...#", "...#" }

    Returns: "NO"

  44. { "#..#..", "##....", "..#.#.", "......" }

    Returns: "NO"

  45. { ".#.#.", "....#", ".....", "#....", ".#...", "....#" }

    Returns: "NO"

  46. { "###..", "..###" }

    Returns: "YES"

  47. { "..", ".#", ".#", "##", "#.", "#." }

    Returns: "YES"

  48. { "....", "..##", ".##.", "##..", "...." }

    Returns: "YES"

  49. { "......", "....#.", "....##", "...##.", "...#.." }

    Returns: "YES"

  50. { "......", "......", "......", "....#.", "..###.", ".##..." }

    Returns: "YES"

  51. { "..#..", ".####", "...#." }

    Returns: "YES"

  52. { "#.", "#.", "##", ".#", ".#", ".." }

    Returns: "YES"

  53. { "......", "..###.", "###..." }

    Returns: "YES"

  54. { "......", "......", "...#..", "####..", "#....." }

    Returns: "YES"

  55. { "...", ".#.", ".#.", "###", "..#" }

    Returns: "YES"

  56. { "....#.", "...###", "....##" }

    Returns: "NO"

  57. { "###..", "##...", "#....", "....." }

    Returns: "NO"

  58. { "##..", "####" }

    Returns: "NO"

  59. { "......", "###...", "###...", "......" }

    Returns: "NO"

  60. { ".##.", "###.", ".#..", "....", "...." }

    Returns: "NO"

  61. { "......", "..####", "...##." }

    Returns: "NO"

  62. { ".#...", ".###.", ".#...", ".#...", ".....", "....." }

    Returns: "NO"

  63. { "##....", "##....", "#.....", "#.....", "......" }

    Returns: "NO"

  64. { "######" }

    Returns: "NO"

  65. { "##", "##", "#.", "#.", ".." }

    Returns: "NO"

  66. { ".....", ".####", ".#..#" }

    Returns: "NO"

  67. { "..", "##", "#.", "##", "#.", ".." }

    Returns: "NO"

  68. { "##.", "#..", "##.", ".#." }

    Returns: "NO"

  69. { "####..", ".#.#.." }

    Returns: "NO"

  70. { "....", ".###", "##.#", "....", "....", "...." }

    Returns: "NO"

  71. {"####",".##."}

    Returns: "NO"

  72. {"##","#.","#.","#.","#."}

    Returns: "NO"

  73. {"#.","##","#.","#.","#."}

    Returns: "NO"

  74. {"#.","#.","##","#.","#."}

    Returns: "NO"

  75. {".#","##","#.","#.","#."}

    Returns: "NO"

  76. {"##","##","#.","#."}

    Returns: "NO"

  77. {"##","#.","##","#."}

    Returns: "NO"

  78. {"##","#.","#.","##"}

    Returns: "NO"

  79. {"###","#..","#..","#.."}

    Returns: "NO"

  80. {"#..","###","#..","#.."}

    Returns: "NO"

  81. {".#",".#","##","#.","#."}

    Returns: "YES"

  82. {".#","##","##","#."}

    Returns: "NO"

  83. {".#","##","#.","##"}

    Returns: "NO"

  84. {".##","##.","#..","#.."}

    Returns: "NO"

  85. {".#.","###","#..","#.."}

    Returns: "NO"

  86. {"##","##","##"}

    Returns: "NO"

  87. {"###","##.","#.."}

    Returns: "NO"

  88. {"##.","###","#.."}

    Returns: "NO"

  89. {"###","#..","##."}

    Returns: "NO"

  90. {"..#","###","#..","#.."}

    Returns: "NO"

  91. {".##",".#.","##.","#.."}

    Returns: "YES"

  92. {".#.",".##","##.","#.."}

    Returns: "YES"

  93. {".#.",".#.","###","#.."}

    Returns: "YES"

  94. {".##","##.","##."}

    Returns: "NO"

  95. {".#.","###","##."}

    Returns: "NO"

  96. {"..#",".##","##.","#.."}

    Returns: "YES"

  97. {".#.","###","#.#"}

    Returns: "NO"

  98. {".#..","####","#..."}

    Returns: "YES"

  99. {"###",".#.","##."}

    Returns: "NO"

  100. {".##",".#.",".#.","##."}

    Returns: "YES"

  101. {".#.",".##",".#.","##."}

    Returns: "YES"

  102. {".#.",".##","##.",".#."}

    Returns: "YES"

  103. {".#.",".#.","###",".#."}

    Returns: "YES"

  104. {"###",".#.",".#.",".#."}

    Returns: "YES"

  105. {"######"}

    Returns: "NO"

  106. {"####", "#.#." }

    Returns: "NO"

  107. {"###..", "..###" }

    Returns: "YES"

  108. {"###", "###" }

    Returns: "NO"

  109. {"......", "...#..", ".####.", "...#..", "......" }

    Returns: "YES"

  110. {"......", "..#...", "..#...", "..##..", "...#..", "...#.." }

    Returns: "YES"

  111. {"...#.", "####.", "...#." }

    Returns: "YES"

  112. {"######" }

    Returns: "NO"

  113. {"###", "...", "###" }

    Returns: "NO"

  114. {"...#..", "..###.", "...##.", "......" }

    Returns: "NO"

  115. {"......", ".###..", "...###", "......", "......" }

    Returns: "YES"

  116. {"##.", ".#.", ".##", "..#" }

    Returns: "YES"

  117. {"......", "..#...", "..#...", ".##...", ".#....", ".#...." }

    Returns: "YES"

  118. {".....#", ".....#", "....##", "....#.", "....#.", "......" }

    Returns: "YES"

  119. {"..###", "###.." }

    Returns: "YES"

  120. {"..#.", "###.", "..##" }

    Returns: "YES"

  121. {"..##", ".##.", "##.." }

    Returns: "YES"

  122. {"..##", "###.", "..#." }

    Returns: "YES"

  123. {"......", ".##...", "..###.", "...#..", "......" }

    Returns: "YES"

  124. {"##..", ".##.", "..##", "....", "...." }

    Returns: "YES"

  125. {"#...", "####", "...#" }

    Returns: "YES"

  126. {"#..", "##.", ".##", "..#" }

    Returns: "YES"

  127. {"###..", "..###", "....." }

    Returns: "YES"

  128. {".#...", "###..", "..##." }

    Returns: "YES"

  129. {"..#", ".##", ".#.", "##." }

    Returns: "YES"

  130. {"....#.", ".####.", "....#." }

    Returns: "YES"

  131. {"......", "......", "......", "...###", ".###..", "......" }

    Returns: "YES"

  132. {".#.", "###", ".#.", ".#." }

    Returns: "YES"

  133. {"......", "..###.", "...#..", "...#..", "...#..", "......" }

    Returns: "YES"

  134. {".#..", "###.", "..##" }

    Returns: "YES"

  135. {"###..", ".....", "..###" }

    Returns: "NO"

  136. {"#####.", "....#." }

    Returns: "NO"

  137. {"##..", ".###", ".#.." }

    Returns: "YES"

  138. {"......", "......", "..#...", "..#...", "..##..", ".##..." }

    Returns: "YES"

  139. {".#....", ".###..", "...##.", "......" }

    Returns: "YES"

  140. {"###", "..#", ".##" }

    Returns: "NO"

  141. {"......", "...#..", ".###..", "...##.", "......" }

    Returns: "YES"

  142. {"..#.", ".###", "##.." }

    Returns: "YES"

  143. {"#.####", "......", "#....." }

    Returns: "NO"

  144. {"###.", "..#.", "..##" }

    Returns: "NO"

  145. {"####", "#..#" }

    Returns: "NO"

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