1 00:00:00,000 --> 00:00:02,300 2 00:00:02,300 --> 00:00:05,210 SPEAKER 1: So let's take a look at the puzzle logic gate. 3 00:00:05,210 --> 00:00:10,109 In this puzzle, you're presented with a grid and a set of rules. 4 00:00:10,109 --> 00:00:11,900 And basically your objective in this puzzle 5 00:00:11,900 --> 00:00:15,590 is to figure out which student is of which year 6 00:00:15,590 --> 00:00:18,437 and which student is seated at which terminal. 7 00:00:18,437 --> 00:00:21,020 And you can actually figure this all this information out just 8 00:00:21,020 --> 00:00:23,477 from these four sentences here, and then there's 9 00:00:23,477 --> 00:00:26,060 one more step that we'll get to at the very end of the puzzle. 10 00:00:26,060 --> 00:00:30,570 But our goal is to figure out who is what basically. 11 00:00:30,570 --> 00:00:32,479 So let's start looking at the first clue. 12 00:00:32,479 --> 00:00:34,880 The student sitting at terminal number eight 13 00:00:34,880 --> 00:00:37,700 has been in college longer than Charlie. 14 00:00:37,700 --> 00:00:38,670 What does this tell us? 15 00:00:38,670 --> 00:00:39,990 Well, it's actually tells us a couple of things. 16 00:00:39,990 --> 00:00:42,754 First, we know that Charlie is not seated at terminal eight, 17 00:00:42,754 --> 00:00:43,670 because they are two-- 18 00:00:43,670 --> 00:00:45,378 we're talking about two different people. 19 00:00:45,378 --> 00:00:47,930 So we can basically X that one out or color it in red 20 00:00:47,930 --> 00:00:49,910 or whatever we want to do on our grid. 21 00:00:49,910 --> 00:00:53,570 The other thing we know is that the student sitting at terminal eight 22 00:00:53,570 --> 00:00:57,170 cannot be a freshmen, because they've been in college longer than Charlie. 23 00:00:57,170 --> 00:00:59,000 So we can also X that one out. 24 00:00:59,000 --> 00:01:03,110 And similarly, do we know that Charlie cannot be a senior, 25 00:01:03,110 --> 00:01:07,550 because if they have been in college longer than Charlie, 26 00:01:07,550 --> 00:01:09,500 Charlie can be the oldest one of the group. 27 00:01:09,500 --> 00:01:11,594 So we can X all of those out. 28 00:01:11,594 --> 00:01:13,010 Now let's look at the second clue. 29 00:01:13,010 --> 00:01:14,718 This one's a little more straightforward. 30 00:01:14,718 --> 00:01:16,079 It says Diane is a freshman. 31 00:01:16,079 --> 00:01:18,120 Well that actually gives us a lot of information. 32 00:01:18,120 --> 00:01:20,806 We can actually color in blue or green or check 33 00:01:20,806 --> 00:01:23,180 mark or whatever you want to do to mark this on your grid 34 00:01:23,180 --> 00:01:24,500 that Diane is a freshmen. 35 00:01:24,500 --> 00:01:26,180 And it also tells us a little bit more. 36 00:01:26,180 --> 00:01:28,846 It also tells us that none of the other three remaining students 37 00:01:28,846 --> 00:01:32,594 can possibly be freshmen, and it also tells us that Diane can't possibly 38 00:01:32,594 --> 00:01:34,010 be a sophomore, junior, or senior. 39 00:01:34,010 --> 00:01:38,520 So we can actually out all of those as well. 40 00:01:38,520 --> 00:01:39,980 The third clue is very similar. 41 00:01:39,980 --> 00:01:41,791 Charlie is sitting at terminal nine. 42 00:01:41,791 --> 00:01:43,790 So just like we did with Diane being a freshman, 43 00:01:43,790 --> 00:01:47,900 we can similarly fill in Charlie as at terminal nine 44 00:01:47,900 --> 00:01:50,960 and cross out all of the other possibilities for terminal nine 45 00:01:50,960 --> 00:01:53,577 and for Charlie. 46 00:01:53,577 --> 00:01:55,160 And then we have our fourth clue here. 47 00:01:55,160 --> 00:01:59,960 Alice is one year behind the student sitting at terminal number 10. 48 00:01:59,960 --> 00:02:02,360 So much like the first clue, we actually get three pieces 49 00:02:02,360 --> 00:02:04,400 of information out of this directly. 50 00:02:04,400 --> 00:02:08,312 The first is that, of course, Alice is not the student seated 51 00:02:08,312 --> 00:02:09,770 at terminal 10 for the same reason. 52 00:02:09,770 --> 00:02:12,920 We're talking about two different people here. 53 00:02:12,920 --> 00:02:16,610 The next is that it also means that the person who is seated at Terminal 10 54 00:02:16,610 --> 00:02:22,010 cannot be a freshmen because Alice is one year behind them. 55 00:02:22,010 --> 00:02:25,880 And it also means that Alice cannot be a senior, 56 00:02:25,880 --> 00:02:30,020 because she is one year behind the students at terminal 10. 57 00:02:30,020 --> 00:02:31,849 But what does this also tell us? 58 00:02:31,849 --> 00:02:34,640 You'll notice that if I go back to the previous slide for a second, 59 00:02:34,640 --> 00:02:37,400 there's only one possibility left now for a senior 60 00:02:37,400 --> 00:02:40,230 if we look at that top left, sort of, larger square, 61 00:02:40,230 --> 00:02:43,130 and that must mean that Bob has to be a senior. 62 00:02:43,130 --> 00:02:47,400 We've excluded every other possibility for who could be a senior, 63 00:02:47,400 --> 00:02:50,844 and Bob cannot be any other year. 64 00:02:50,844 --> 00:02:52,760 So now we have a couple of conclusions that we 65 00:02:52,760 --> 00:02:55,300 can draw from what we have left. 66 00:02:55,300 --> 00:02:58,740 And let's start by looking at who could be seated at terminal number 10. 67 00:02:58,740 --> 00:03:01,010 Let's take a look at that fourth clue again. 68 00:03:01,010 --> 00:03:05,630 There are only two options left if we look right here and right here. 69 00:03:05,630 --> 00:03:08,410 70 00:03:08,410 --> 00:03:11,360 And the only two options left are Bob and Diane. 71 00:03:11,360 --> 00:03:14,930 But now we have to, sort of, synthesize the clues we've already had. 72 00:03:14,930 --> 00:03:20,000 It can't be Diane, because Diane we know already is a freshmen 73 00:03:20,000 --> 00:03:22,880 and we know that Alice is younger than the person who 74 00:03:22,880 --> 00:03:24,770 is seated at terminal number 10. 75 00:03:24,770 --> 00:03:28,010 So if Diane was seated there, Alice couldn't be younger than her. 76 00:03:28,010 --> 00:03:33,410 And so Bob has to be the person who is seated at terminal number 10. 77 00:03:33,410 --> 00:03:35,390 Now in addition, because we know that Alice 78 00:03:35,390 --> 00:03:38,690 is one year younger than the person seated at terminal number 10, 79 00:03:38,690 --> 00:03:42,920 that means that Alice has to be a junior, because Bob is a senior 80 00:03:42,920 --> 00:03:46,920 and Bob is seated at terminal number 10. 81 00:03:46,920 --> 00:03:48,920 And that only leaves one option left for Charlie 82 00:03:48,920 --> 00:03:53,760 there in that square on the top left, which is that he must be a sophomore. 83 00:03:53,760 --> 00:03:55,860 And then finally, we know that the student who 84 00:03:55,860 --> 00:04:00,180 is seated at terminal number eight has been in college longer than Charlie 85 00:04:00,180 --> 00:04:02,820 and we know now that Charlie is a sophomore. 86 00:04:02,820 --> 00:04:05,070 And among Diane and Alice who are the last two left 87 00:04:05,070 --> 00:04:09,060 to figure out in that top right square, that's only true of Alice. 88 00:04:09,060 --> 00:04:12,840 Alice is the only one who's been there longer than Charlie of those two, 89 00:04:12,840 --> 00:04:15,300 so she has to be seen at terminal number eight 90 00:04:15,300 --> 00:04:17,170 and Diane must be at terminal number 11. 91 00:04:17,170 --> 00:04:19,503 And now we, kind of, filled out everybody's information, 92 00:04:19,503 --> 00:04:23,220 so we can also fill in everything in that bottom grid as well based on all 93 00:04:23,220 --> 00:04:25,730 the information that we already have. 94 00:04:25,730 --> 00:04:30,514 Now for that last piece of the puzzle here, originally, as you know, 95 00:04:30,514 --> 00:04:33,180 all of those squares that we just filled in had letters in them. 96 00:04:33,180 --> 00:04:35,221 And if we just focus on the ones now that reflect 97 00:04:35,221 --> 00:04:38,070 all of the true relationships in this puzzle, 98 00:04:38,070 --> 00:04:39,660 we see these are the letters left. 99 00:04:39,660 --> 00:04:42,790 And if we read them from left to right, top to bottom, 100 00:04:42,790 --> 00:04:47,720 we're left with the word architecture, and that was the answer to this puzzle.