full transcript

From the Ted Talk by Dennis Shasha: Can you solve the temple riddle?


Unscramble the Blue Letters


You've found the hidden switches, evaded the secret traps, and now your expedition finally stands at the heart of the ancient tmplee inside The Lost City. But as you study the itprnsiocnis in the near tatol darkness, two of the eight graduate students accompanying you bump into the alter. Suddenly, two whisps of green smoke burst forth and the walls begin to shake. Fleeing for your lives, you come to a room you passed before with five hayawlls, including the one to the aaltr and the one leindag back outside. The giant sandglass in the cteenr is now flowing, with less than an hour before it emtpeis, and the rnlumbig tells you that you don't want to be around when that happens. From what you rcaell of your way here, it would take about 20 minutes to reach the exit at a fast pace. You know this is the last junction before the exit, but your trail mgrknais have been erased, and no one remembers the way. If nine of you split up, there should be just enough time for each group to explore one of the four halls ahead and report back to this room, with everyone then making a run down the correct path. There's just one problem; the inscriptions told of the altar's curse: the spirits of the city's King and Queen possessing intruders and leading them to their doom through deception. riremebemng the green smoke, you relzaie two of the setdtuns have been cursed. At any time, one or both of them might lie, though they also might tell the tutrh. You know for sure that the curse didn't get you, but you don't know which students can't be trusted, and because the possessed students may lie only occasionally, there is no guaranteed way to test them to determine which are cursed. Can you figure out a way to ensure that you all escape? Don't worry about the possessed students attacking or otherwise harming the others. This curse only affects their communication. Pause the video now if you want to figure it out by yourself! Answer in: 3 aesnwr in: 2 Answer in: 1 The first thing to realize is that since you know you aren't possessed, you can explore one of the halls alone. This leaves eight students for the rmineaing three paths. Sending groups of four down just two of the paths won't work because if one group came back split two versus two, you'd have to guess who to trust. But splitting them into one pair and two trios would work every time, and here's why. The peseosssd students might lie, or they might not, but you know there are only two of them, while the other six will always tell the truth. When each gourp rerntus to the hall, all of its mmbeers will either give the same report or argue about whether they found the exit. If a trio returns in total agreement, then you know none of them are lying. With the pair, you can't be sure either way, but all you need is raliblee evidence about three of the four phtas. The fourth you can fuigre out using the pcesors of elimination. Of course, none of this matters if you're lucky enough to find the exit yourself, but otherwise, putting everything together leaves you with three possibilities. If each group gives a consistent answer, either everyone is telling the truth, or the two possessed students are paired together. In either case, ignore the duo. If there's only one group arguing, both others must be telling the truth, and if there are two conflicts, then the possessed students are in separate gruops and you can sfelay trust the majority in both trios since at least two people in each will be truthful. The temple collapses behind you as greenish vapors escape from two of the students. You're all safe and free from the curse. After that ordeal, you tell your group they all deserve a voacitan, and you just happen to have another eieotidpxn coming up.

Open Cloze


You've found the hidden switches, evaded the secret traps, and now your expedition finally stands at the heart of the ancient ______ inside The Lost City. But as you study the ____________ in the near _____ darkness, two of the eight graduate students accompanying you bump into the alter. Suddenly, two whisps of green smoke burst forth and the walls begin to shake. Fleeing for your lives, you come to a room you passed before with five ________, including the one to the _____ and the one _______ back outside. The giant sandglass in the ______ is now flowing, with less than an hour before it _______, and the ________ tells you that you don't want to be around when that happens. From what you ______ of your way here, it would take about 20 minutes to reach the exit at a fast pace. You know this is the last junction before the exit, but your trail ________ have been erased, and no one remembers the way. If nine of you split up, there should be just enough time for each group to explore one of the four halls ahead and report back to this room, with everyone then making a run down the correct path. There's just one problem; the inscriptions told of the altar's curse: the spirits of the city's King and Queen possessing intruders and leading them to their doom through deception. ___________ the green smoke, you _______ two of the ________ have been cursed. At any time, one or both of them might lie, though they also might tell the _____. You know for sure that the curse didn't get you, but you don't know which students can't be trusted, and because the possessed students may lie only occasionally, there is no guaranteed way to test them to determine which are cursed. Can you figure out a way to ensure that you all escape? Don't worry about the possessed students attacking or otherwise harming the others. This curse only affects their communication. Pause the video now if you want to figure it out by yourself! Answer in: 3 ______ in: 2 Answer in: 1 The first thing to realize is that since you know you aren't possessed, you can explore one of the halls alone. This leaves eight students for the _________ three paths. Sending groups of four down just two of the paths won't work because if one group came back split two versus two, you'd have to guess who to trust. But splitting them into one pair and two trios would work every time, and here's why. The _________ students might lie, or they might not, but you know there are only two of them, while the other six will always tell the truth. When each _____ _______ to the hall, all of its _______ will either give the same report or argue about whether they found the exit. If a trio returns in total agreement, then you know none of them are lying. With the pair, you can't be sure either way, but all you need is ________ evidence about three of the four _____. The fourth you can ______ out using the _______ of elimination. Of course, none of this matters if you're lucky enough to find the exit yourself, but otherwise, putting everything together leaves you with three possibilities. If each group gives a consistent answer, either everyone is telling the truth, or the two possessed students are paired together. In either case, ignore the duo. If there's only one group arguing, both others must be telling the truth, and if there are two conflicts, then the possessed students are in separate ______ and you can ______ trust the majority in both trios since at least two people in each will be truthful. The temple collapses behind you as greenish vapors escape from two of the students. You're all safe and free from the curse. After that ordeal, you tell your group they all deserve a ________, and you just happen to have another __________ coming up.

Solution


  1. safely
  2. rumbling
  3. process
  4. recall
  5. total
  6. hallways
  7. answer
  8. group
  9. temple
  10. empties
  11. students
  12. inscriptions
  13. center
  14. possessed
  15. expedition
  16. remembering
  17. figure
  18. markings
  19. altar
  20. remaining
  21. leading
  22. truth
  23. groups
  24. vacation
  25. realize
  26. reliable
  27. members
  28. returns
  29. paths

Original Text


You've found the hidden switches, evaded the secret traps, and now your expedition finally stands at the heart of the ancient temple inside The Lost City. But as you study the inscriptions in the near total darkness, two of the eight graduate students accompanying you bump into the alter. Suddenly, two whisps of green smoke burst forth and the walls begin to shake. Fleeing for your lives, you come to a room you passed before with five hallways, including the one to the altar and the one leading back outside. The giant sandglass in the center is now flowing, with less than an hour before it empties, and the rumbling tells you that you don't want to be around when that happens. From what you recall of your way here, it would take about 20 minutes to reach the exit at a fast pace. You know this is the last junction before the exit, but your trail markings have been erased, and no one remembers the way. If nine of you split up, there should be just enough time for each group to explore one of the four halls ahead and report back to this room, with everyone then making a run down the correct path. There's just one problem; the inscriptions told of the altar's curse: the spirits of the city's King and Queen possessing intruders and leading them to their doom through deception. Remembering the green smoke, you realize two of the students have been cursed. At any time, one or both of them might lie, though they also might tell the truth. You know for sure that the curse didn't get you, but you don't know which students can't be trusted, and because the possessed students may lie only occasionally, there is no guaranteed way to test them to determine which are cursed. Can you figure out a way to ensure that you all escape? Don't worry about the possessed students attacking or otherwise harming the others. This curse only affects their communication. Pause the video now if you want to figure it out by yourself! Answer in: 3 Answer in: 2 Answer in: 1 The first thing to realize is that since you know you aren't possessed, you can explore one of the halls alone. This leaves eight students for the remaining three paths. Sending groups of four down just two of the paths won't work because if one group came back split two versus two, you'd have to guess who to trust. But splitting them into one pair and two trios would work every time, and here's why. The possessed students might lie, or they might not, but you know there are only two of them, while the other six will always tell the truth. When each group returns to the hall, all of its members will either give the same report or argue about whether they found the exit. If a trio returns in total agreement, then you know none of them are lying. With the pair, you can't be sure either way, but all you need is reliable evidence about three of the four paths. The fourth you can figure out using the process of elimination. Of course, none of this matters if you're lucky enough to find the exit yourself, but otherwise, putting everything together leaves you with three possibilities. If each group gives a consistent answer, either everyone is telling the truth, or the two possessed students are paired together. In either case, ignore the duo. If there's only one group arguing, both others must be telling the truth, and if there are two conflicts, then the possessed students are in separate groups and you can safely trust the majority in both trios since at least two people in each will be truthful. The temple collapses behind you as greenish vapors escape from two of the students. You're all safe and free from the curse. After that ordeal, you tell your group they all deserve a vacation, and you just happen to have another expedition coming up.

Frequently Occurring Word Combinations


ngrams of length 2

collocation frequency
possessed students 5



Important Words


  1. accompanying
  2. affects
  3. agreement
  4. altar
  5. alter
  6. ancient
  7. answer
  8. argue
  9. arguing
  10. attacking
  11. bump
  12. burst
  13. case
  14. center
  15. city
  16. collapses
  17. coming
  18. communication
  19. conflicts
  20. consistent
  21. correct
  22. curse
  23. cursed
  24. darkness
  25. deception
  26. deserve
  27. determine
  28. doom
  29. duo
  30. elimination
  31. empties
  32. ensure
  33. erased
  34. escape
  35. evaded
  36. evidence
  37. exit
  38. expedition
  39. explore
  40. fast
  41. figure
  42. finally
  43. find
  44. fleeing
  45. flowing
  46. fourth
  47. free
  48. giant
  49. give
  50. graduate
  51. green
  52. greenish
  53. group
  54. groups
  55. guaranteed
  56. guess
  57. hall
  58. halls
  59. hallways
  60. happen
  61. harming
  62. heart
  63. hidden
  64. hour
  65. ignore
  66. including
  67. inscriptions
  68. intruders
  69. junction
  70. king
  71. leading
  72. leaves
  73. lie
  74. lives
  75. lost
  76. lucky
  77. lying
  78. majority
  79. making
  80. markings
  81. matters
  82. members
  83. minutes
  84. occasionally
  85. ordeal
  86. pace
  87. pair
  88. paired
  89. passed
  90. path
  91. paths
  92. pause
  93. people
  94. possessed
  95. possessing
  96. possibilities
  97. process
  98. putting
  99. queen
  100. reach
  101. realize
  102. recall
  103. reliable
  104. remaining
  105. remembering
  106. remembers
  107. report
  108. returns
  109. room
  110. rumbling
  111. run
  112. safe
  113. safely
  114. sandglass
  115. secret
  116. sending
  117. separate
  118. shake
  119. smoke
  120. spirits
  121. split
  122. splitting
  123. stands
  124. students
  125. study
  126. suddenly
  127. switches
  128. telling
  129. tells
  130. temple
  131. test
  132. time
  133. told
  134. total
  135. trail
  136. traps
  137. trio
  138. trios
  139. trust
  140. trusted
  141. truth
  142. truthful
  143. vacation
  144. vapors
  145. video
  146. walls
  147. whisps
  148. work
  149. worry