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  "events": [ {
    "tStartMs": 7163,
    "dDurationMs": 2500,
    "segs": [ {
      "utf8": "You’re the realm’s greatest mathematician,"
    } ]
  }, {
    "tStartMs": 9663,
    "dDurationMs": 3416,
    "segs": [ {
      "utf8": "but ever since you criticized\nthe emperor's tax laws,"
    } ]
  }, {
    "tStartMs": 13079,
    "dDurationMs": 4292,
    "segs": [ {
      "utf8": "you’ve been locked in the dungeon \nwith only a marker to count the days."
    } ]
  }, {
    "tStartMs": 17954,
    "dDurationMs": 3084,
    "segs": [ {
      "utf8": "But one day you're suddenly brought\nbefore the emperor,"
    } ]
  }, {
    "tStartMs": 21246,
    "dDurationMs": 2125,
    "segs": [ {
      "utf8": "who looks even angrier than usual."
    } ]
  }, {
    "tStartMs": 23829,
    "dDurationMs": 4167,
    "segs": [ {
      "utf8": "One of his 12 governors has been convicted\nof paying his taxes"
    } ]
  }, {
    "tStartMs": 27996,
    "dDurationMs": 1625,
    "segs": [ {
      "utf8": "with a counterfeit coin,"
    } ]
  }, {
    "tStartMs": 29621,
    "dDurationMs": 2708,
    "segs": [ {
      "utf8": "which has already made its way \ninto the Treasury."
    } ]
  }, {
    "tStartMs": 32912,
    "dDurationMs": 2125,
    "segs": [ {
      "utf8": "As the kingdom's greatest mathematician,"
    } ]
  }, {
    "tStartMs": 35037,
    "dDurationMs": 4875,
    "segs": [ {
      "utf8": "you’ve been granted a chance to earn \nyour freedom by identifying the fake."
    } ]
  }, {
    "tStartMs": 40621,
    "dDurationMs": 4458,
    "segs": [ {
      "utf8": "Before you are the 12 identical looking\ncoins and a balance scale."
    } ]
  }, {
    "tStartMs": 45871,
    "dDurationMs": 5166,
    "segs": [ {
      "utf8": "You know that the false coin will be very\nslightly lighter or heavier than the rest."
    } ]
  }, {
    "tStartMs": 51579,
    "dDurationMs": 2458,
    "segs": [ {
      "utf8": "But the emperor’s not a patient man."
    } ]
  }, {
    "tStartMs": 54162,
    "dDurationMs": 2834,
    "segs": [ {
      "utf8": "You may only use the scale three times"
    } ]
  }, {
    "tStartMs": 56996,
    "dDurationMs": 2708,
    "segs": [ {
      "utf8": "before you’ll be thrown \nback into the dungeon."
    } ]
  }, {
    "tStartMs": 60329,
    "dDurationMs": 2417,
    "segs": [ {
      "utf8": "You look around for\nanything else you can use,"
    } ]
  }, {
    "tStartMs": 62746,
    "dDurationMs": 2958,
    "segs": [ {
      "utf8": "but there's nothing in the room,\njust the coins,"
    } ]
  }, {
    "tStartMs": 65704,
    "dDurationMs": 2625,
    "segs": [ {
      "utf8": "the scale, and your trusty marker."
    } ]
  }, {
    "tStartMs": 68663,
    "dDurationMs": 1791,
    "segs": [ {
      "utf8": "How do you identify the counterfeit?"
    } ]
  }, {
    "tStartMs": 71121,
    "dDurationMs": 2875,
    "segs": [ {
      "utf8": "Pause now to figure it out yourself!"
    } ]
  }, {
    "tStartMs": 74163,
    "dDurationMs": 1458,
    "segs": [ {
      "utf8": "Answer in 3"
    } ]
  }, {
    "tStartMs": 75621,
    "dDurationMs": 1667,
    "segs": [ {
      "utf8": "Answer in 2"
    } ]
  }, {
    "tStartMs": 77288,
    "dDurationMs": 1458,
    "segs": [ {
      "utf8": "Answer in 1"
    } ]
  }, {
    "tStartMs": 78871,
    "dDurationMs": 4083,
    "segs": [ {
      "utf8": "Obviously, you can't weigh each coin\nagainst all of the others,"
    } ]
  }, {
    "tStartMs": 82954,
    "dDurationMs": 3000,
    "segs": [ {
      "utf8": "so you’ll have to weigh several coins\nat the same time"
    } ]
  }, {
    "tStartMs": 85954,
    "dDurationMs": 2834,
    "segs": [ {
      "utf8": "by splitting the stack \ninto multiple piles,"
    } ]
  }, {
    "tStartMs": 88788,
    "dDurationMs": 3125,
    "segs": [ {
      "utf8": "then narrowing down where\nthe false coin is."
    } ]
  }, {
    "tStartMs": 92371,
    "dDurationMs": 4500,
    "segs": [ {
      "utf8": "Start by dividing the 12 coins \ninto three equal piles of four."
    } ]
  }, {
    "tStartMs": 97329,
    "dDurationMs": 3959,
    "segs": [ {
      "utf8": "Placing two of these on the scale\ngives us two possible outcomes."
    } ]
  }, {
    "tStartMs": 102496,
    "dDurationMs": 4375,
    "segs": [ {
      "utf8": "If the two sides balance, \nall eight coins on the scale are real"
    } ]
  }, {
    "tStartMs": 106871,
    "dDurationMs": 2667,
    "segs": [ {
      "utf8": "and the fake must be among \nthe remaining four."
    } ]
  }, {
    "tStartMs": 110121,
    "dDurationMs": 3917,
    "segs": [ {
      "utf8": "So how do you keep track of these results?\nThat’s where the marker comes in."
    } ]
  }, {
    "tStartMs": 114371,
    "dDurationMs": 2917,
    "segs": [ {
      "utf8": "Mark the eight authentic\ncoins with a zero."
    } ]
  }, {
    "tStartMs": 117871,
    "dDurationMs": 4292,
    "segs": [ {
      "utf8": "Now take three of them and weigh them\nagainst three unmarked coins."
    } ]
  }, {
    "tStartMs": 122579,
    "dDurationMs": 3834,
    "segs": [ {
      "utf8": "If they balance, the remaining unmarked\ncoin must be the fake."
    } ]
  }, {
    "tStartMs": 126913,
    "dDurationMs": 4250,
    "segs": [ {
      "utf8": "If they don’t, draw a plus \non the three unmarked coins"
    } ]
  }, {
    "tStartMs": 131163,
    "dDurationMs": 3125,
    "segs": [ {
      "utf8": "if they’re heavier, \nor a minus if they’re lighter."
    } ]
  }, {
    "tStartMs": 134788,
    "dDurationMs": 4208,
    "segs": [ {
      "utf8": "Now take two of the newly marked coins\nand weigh them against each other."
    } ]
  }, {
    "tStartMs": 139413,
    "dDurationMs": 2583,
    "segs": [ {
      "utf8": "If they balance, the third coin is fake."
    } ]
  }, {
    "tStartMs": 142371,
    "dDurationMs": 1958,
    "segs": [ {
      "utf8": "Otherwise, look at their marks."
    } ]
  }, {
    "tStartMs": 144329,
    "dDurationMs": 3625,
    "segs": [ {
      "utf8": "If they are plus coins, \nthe heavier one is the impostor."
    } ]
  }, {
    "tStartMs": 148246,
    "dDurationMs": 2583,
    "segs": [ {
      "utf8": "If they are marked with minus,\nit's the lighter one."
    } ]
  }, {
    "tStartMs": 151496,
    "dDurationMs": 3583,
    "segs": [ {
      "utf8": "But what if the first two piles\nyou way don't balance?"
    } ]
  }, {
    "tStartMs": 155954,
    "dDurationMs": 3167,
    "segs": [ {
      "utf8": "Mark the coins on the heavier side\nwith a plus"
    } ]
  }, {
    "tStartMs": 159121,
    "dDurationMs": 2708,
    "segs": [ {
      "utf8": "and those on the lighter side \nwith a minus."
    } ]
  }, {
    "tStartMs": 162663,
    "dDurationMs": 3625,
    "segs": [ {
      "utf8": "You can also mark the remaining four\ncoins with zeros,"
    } ]
  }, {
    "tStartMs": 166663,
    "dDurationMs": 3875,
    "segs": [ {
      "utf8": "since you know the fake one \nis already somewhere on the scale."
    } ]
  }, {
    "tStartMs": 171246,
    "dDurationMs": 2125,
    "segs": [ {
      "utf8": "Now you'll need to think strategically"
    } ]
  }, {
    "tStartMs": 173371,
    "dDurationMs": 4458,
    "segs": [ {
      "utf8": "so you can remove all remaining ambiguity\nin just two more ways."
    } ]
  }, {
    "tStartMs": 178163,
    "dDurationMs": 3083,
    "segs": [ {
      "utf8": "To do this, you’ll need \nto reassemble the piles."
    } ]
  }, {
    "tStartMs": 181663,
    "dDurationMs": 3041,
    "segs": [ {
      "utf8": "One method is to replace three \nof the plus coins"
    } ]
  }, {
    "tStartMs": 184704,
    "dDurationMs": 2084,
    "segs": [ {
      "utf8": "with three of the minus coins"
    } ]
  }, {
    "tStartMs": 186788,
    "dDurationMs": 3291,
    "segs": [ {
      "utf8": "and replace those\nwith three of the zero coins."
    } ]
  }, {
    "tStartMs": 190663,
    "dDurationMs": 2291,
    "segs": [ {
      "utf8": "From here, you have three possibilities."
    } ]
  }, {
    "tStartMs": 193746,
    "dDurationMs": 3500,
    "segs": [ {
      "utf8": "If the previously heavier side \nof the scale is still heavier,"
    } ]
  }, {
    "tStartMs": 197454,
    "dDurationMs": 3334,
    "segs": [ {
      "utf8": "that means either the remaining \nplus coin on that side"
    } ]
  }, {
    "tStartMs": 200788,
    "dDurationMs": 1833,
    "segs": [ {
      "utf8": "is actually the heavier one,"
    } ]
  }, {
    "tStartMs": 202621,
    "dDurationMs": 4750,
    "segs": [ {
      "utf8": "or the remaining minus coin on the \nlighter side is actually the lighter one."
    } ]
  }, {
    "tStartMs": 207954,
    "dDurationMs": 3750,
    "segs": [ {
      "utf8": "Choose either one of them and weigh it \nagainst one of the regular coins"
    } ]
  }, {
    "tStartMs": 211704,
    "dDurationMs": 1459,
    "segs": [ {
      "utf8": "to see which is true."
    } ]
  }, {
    "tStartMs": 213454,
    "dDurationMs": 2834,
    "segs": [ {
      "utf8": "If the previously heavier side \nbecame lighter,"
    } ]
  }, {
    "tStartMs": 216288,
    "dDurationMs": 4458,
    "segs": [ {
      "utf8": "that means one of the three minus coins\nyou moved is actually the lighter one."
    } ]
  }, {
    "tStartMs": 221204,
    "dDurationMs": 2250,
    "segs": [ {
      "utf8": "Weigh two of them against each other."
    } ]
  }, {
    "tStartMs": 223663,
    "dDurationMs": 2500,
    "segs": [ {
      "utf8": "If they balance, the third is counterfeit."
    } ]
  }, {
    "tStartMs": 226371,
    "dDurationMs": 2583,
    "segs": [ {
      "utf8": "If not, the lighter one is."
    } ]
  }, {
    "tStartMs": 229538,
    "dDurationMs": 3916,
    "segs": [ {
      "utf8": "Similarly, if the two sides balanced\nafter your substitution,"
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  }, {
    "tStartMs": 233621,
    "dDurationMs": 4167,
    "segs": [ {
      "utf8": "then one of the three plus coins \nyou removed must be the heavier one."
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  }, {
    "tStartMs": 238246,
    "dDurationMs": 2083,
    "segs": [ {
      "utf8": "Weigh two of them against each other."
    } ]
  }, {
    "tStartMs": 240329,
    "dDurationMs": 2792,
    "segs": [ {
      "utf8": "If they balance, the third one is fake."
    } ]
  }, {
    "tStartMs": 243246,
    "dDurationMs": 2042,
    "segs": [ {
      "utf8": "If not, then it's the heavier one."
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  }, {
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    "dDurationMs": 3000,
    "segs": [ {
      "utf8": "The emperor nods approvingly\nat your finding,"
    } ]
  }, {
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    "dDurationMs": 3375,
    "segs": [ {
      "utf8": "and the counterfeiting lord \ntakes your place in the dungeon."
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