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    "tStartMs": 6720,
    "dDurationMs": 3634,
    "segs": [ {
      "utf8": "Your rich, eccentric uncle \njust passed away,"
    } ]
  }, {
    "tStartMs": 10354,
    "dDurationMs": 6500,
    "segs": [ {
      "utf8": "and you and your 99 nasty relatives have\nbeen invited to the reading of his will."
    } ]
  }, {
    "tStartMs": 16854,
    "dDurationMs": 2520,
    "segs": [ {
      "utf8": "He wanted to leave \nall of his money to you,"
    } ]
  }, {
    "tStartMs": 19374,
    "dDurationMs": 5431,
    "segs": [ {
      "utf8": "but he knew that if he did,\nyour relatives would pester you forever."
    } ]
  }, {
    "tStartMs": 24805,
    "dDurationMs": 2257,
    "segs": [ {
      "utf8": "So he is banking on the fact"
    } ]
  }, {
    "tStartMs": 27062,
    "dDurationMs": 5598,
    "segs": [ {
      "utf8": "that he taught you everything \nyou need to know about riddles."
    } ]
  }, {
    "tStartMs": 32660,
    "dDurationMs": 2898,
    "segs": [ {
      "utf8": "Your uncle left the following \nnote in his will:"
    } ]
  }, {
    "tStartMs": 35558,
    "dDurationMs": 2219,
    "segs": [ {
      "utf8": "\"I have created a puzzle."
    } ]
  }, {
    "tStartMs": 37777,
    "dDurationMs": 4251,
    "segs": [ {
      "utf8": "If all 100 of you answer it together,\nyou will share the money evenly."
    } ]
  }, {
    "tStartMs": 42028,
    "dDurationMs": 4157,
    "segs": [ {
      "utf8": "However, if you are the first to find\nthe pattern and solve the problem"
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  }, {
    "tStartMs": 46185,
    "dDurationMs": 2536,
    "segs": [ {
      "utf8": "without going through all of the leg work,"
    } ]
  }, {
    "tStartMs": 48721,
    "dDurationMs": 3800,
    "segs": [ {
      "utf8": "you will get the entire inheritance \nall to yourself."
    } ]
  }, {
    "tStartMs": 52521,
    "dDurationMs": 1577,
    "segs": [ {
      "utf8": "Good luck.\""
    } ]
  }, {
    "tStartMs": 54098,
    "dDurationMs": 4831,
    "segs": [ {
      "utf8": "The lawyer takes you and your 99 relatives\nto a secret room in the mansion"
    } ]
  }, {
    "tStartMs": 58929,
    "dDurationMs": 2866,
    "segs": [ {
      "utf8": "that contains 100 lockers,"
    } ]
  }, {
    "tStartMs": 61795,
    "dDurationMs": 2475,
    "segs": [ {
      "utf8": "each hiding a single word."
    } ]
  }, {
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    "dDurationMs": 1170,
    "segs": [ {
      "utf8": "He explains:"
    } ]
  }, {
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    "dDurationMs": 4365,
    "segs": [ {
      "utf8": "Every relative is assigned a number\nfrom 1 to 100."
    } ]
  }, {
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    "dDurationMs": 2900,
    "segs": [ {
      "utf8": "Heir 1 will open every locker."
    } ]
  }, {
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    "dDurationMs": 3997,
    "segs": [ {
      "utf8": "Heir 2 will then \nclose every second locker."
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    "dDurationMs": 4177,
    "segs": [ {
      "utf8": "Heir 3 will change the status\nof every third locker,"
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  }, {
    "tStartMs": 80879,
    "dDurationMs": 2896,
    "segs": [ {
      "utf8": "specifically if it's open, \nshe'll close it,"
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  }, {
    "tStartMs": 83775,
    "dDurationMs": 2805,
    "segs": [ {
      "utf8": "but if it's closed, she'll open it."
    } ]
  }, {
    "tStartMs": 86580,
    "dDurationMs": 4599,
    "segs": [ {
      "utf8": "This pattern will continue until\nall 100 of you have gone."
    } ]
  }, {
    "tStartMs": 91179,
    "dDurationMs": 3283,
    "segs": [ {
      "utf8": "The words in the lockers that remain\nopen at the end"
    } ]
  }, {
    "tStartMs": 94462,
    "dDurationMs": 3575,
    "segs": [ {
      "utf8": "will help you crack the code for the safe."
    } ]
  }, {
    "tStartMs": 98037,
    "dDurationMs": 4607,
    "segs": [ {
      "utf8": "Before cousin Thaddeus can even start\ndown the line,"
    } ]
  }, {
    "tStartMs": 102644,
    "dDurationMs": 6368,
    "segs": [ {
      "utf8": "you step forward and tell the lawyer\nyou know which lockers will remain open."
    } ]
  }, {
    "tStartMs": 109012,
    "dDurationMs": 2354,
    "segs": [ {
      "utf8": "But how?"
    } ]
  }, {
    "tStartMs": 111366,
    "dDurationMs": 2966,
    "segs": [ {
      "utf8": "Pause the video now if you want\nto figure it out for yourself!"
    } ]
  }, {
    "tStartMs": 114332,
    "dDurationMs": 1089,
    "segs": [ {
      "utf8": "Answer in: 3"
    } ]
  }, {
    "tStartMs": 115421,
    "dDurationMs": 1156,
    "segs": [ {
      "utf8": "Answer in: 2"
    } ]
  }, {
    "tStartMs": 116577,
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    "segs": [ {
      "utf8": "Answer in: 1"
    } ]
  }, {
    "tStartMs": 118248,
    "dDurationMs": 3903,
    "segs": [ {
      "utf8": "The key is realizing that the number\nof times a locker is touched"
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  }, {
    "tStartMs": 122151,
    "dDurationMs": 4276,
    "segs": [ {
      "utf8": "is the same as the number of factors\nin the locker number."
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  }, {
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    "segs": [ {
      "utf8": "For example, in locker #6,"
    } ]
  }, {
    "tStartMs": 129064,
    "dDurationMs": 1644,
    "segs": [ {
      "utf8": "Person 1 will open it,"
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  }, {
    "tStartMs": 130708,
    "dDurationMs": 1894,
    "segs": [ {
      "utf8": "Person 2 will close it,"
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  }, {
    "tStartMs": 132602,
    "dDurationMs": 1714,
    "segs": [ {
      "utf8": "Person 3 will open it,"
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  }, {
    "tStartMs": 134316,
    "dDurationMs": 2896,
    "segs": [ {
      "utf8": "and Person 6 will close it."
    } ]
  }, {
    "tStartMs": 137212,
    "dDurationMs": 5120,
    "segs": [ {
      "utf8": "The numbers 1, 2, 3, and 6 \nare the factors of 6."
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    "dDurationMs": 2833,
    "segs": [ {
      "utf8": "So when a locker has an even number\nof factors"
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  }, {
    "tStartMs": 145165,
    "dDurationMs": 1647,
    "segs": [ {
      "utf8": "it will remain closed,"
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  }, {
    "tStartMs": 146812,
    "dDurationMs": 2021,
    "segs": [ {
      "utf8": "and when it has an odd number of factors,"
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  }, {
    "tStartMs": 148833,
    "dDurationMs": 2129,
    "segs": [ {
      "utf8": "it will remain open."
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  }, {
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    "segs": [ {
      "utf8": "Most of the lockers \nhave an even number of factors,"
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  }, {
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    "dDurationMs": 3760,
    "segs": [ {
      "utf8": "which makes sense because factors\nnaturally pair up."
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    "segs": [ {
      "utf8": "In fact, the only lockers that have\nan odd number of factors"
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  }, {
    "tStartMs": 161475,
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    "segs": [ {
      "utf8": "are perfect squares"
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  }, {
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    "segs": [ {
      "utf8": "because those have one factor that when\nmultiplied by itself equals the number."
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    "segs": [ {
      "utf8": "For Locker 9, 1 will open it,"
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  }, {
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    "dDurationMs": 1484,
    "segs": [ {
      "utf8": "3 will close,"
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  }, {
    "tStartMs": 172818,
    "dDurationMs": 2116,
    "segs": [ {
      "utf8": "and 9 will open it."
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  }, {
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    "segs": [ {
      "utf8": "3 x 3 = 9,"
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  }, {
    "tStartMs": 177094,
    "dDurationMs": 2285,
    "segs": [ {
      "utf8": "but the 3 can only be counted once."
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  }, {
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    "segs": [ {
      "utf8": "Therefore, every locker that is \na perfect square will remain open."
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  }, {
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    "segs": [ {
      "utf8": "You know that these ten lockers \nare the solution,"
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  }, {
    "tStartMs": 187426,
    "dDurationMs": 3859,
    "segs": [ {
      "utf8": "so you open them immediately\nand read the words inside:"
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  }, {
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    "dDurationMs": 5758,
    "segs": [ {
      "utf8": "\"The code is the first five lockers\ntouched only twice.\""
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    "segs": [ {
      "utf8": "You realize that the only lockers \ntouched twice have to be prime numbers"
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  }, {
    "tStartMs": 201881,
    "dDurationMs": 2573,
    "segs": [ {
      "utf8": "since each only has two factors:"
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  }, {
    "tStartMs": 204454,
    "dDurationMs": 2054,
    "segs": [ {
      "utf8": "1 and itself."
    } ]
  }, {
    "tStartMs": 206508,
    "dDurationMs": 4327,
    "segs": [ {
      "utf8": "So the code is 2-3-5-7-11."
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  }, {
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    "segs": [ {
      "utf8": "The lawyer brings you to the safe,"
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  }, {
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    "dDurationMs": 1836,
    "segs": [ {
      "utf8": "and you claim your inheritance."
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  }, {
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    "dDurationMs": 3482,
    "segs": [ {
      "utf8": "Too bad your relatives were always\ntoo busy being nasty to each other"
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  }, {
    "tStartMs": 218527,
    "dDurationMs": 2817,
    "segs": [ {
      "utf8": "to pay attention \nto your eccentric uncle's riddles."
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