All language subtitles for 4. Example 2 - Factorial

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Would you like to inspect the original subtitles? These are the user uploaded subtitles that are being translated: 1 00:00:00,540 --> 00:00:04,350 All right, so that's another example in our Recursions section. 2 00:00:04,770 --> 00:00:10,080 And in this video, what we are going to do is to write a function that received some natural number 3 00:00:10,200 --> 00:00:14,160 NUM and returns there, factorial of this number. 4 00:00:14,310 --> 00:00:21,630 And for those of you who is not so familiar with what factorial is, let's explain it in simple terms. 5 00:00:21,750 --> 00:00:30,480 So a factorial by its definition is just a mathematical operation and is defined to be as the multiplication 6 00:00:30,690 --> 00:00:34,680 of all natural numbers from one up to a given number. 7 00:00:34,860 --> 00:00:40,950 So very similar to how we used to find the sum of all the numbers from one up to number. 8 00:00:41,100 --> 00:00:47,820 The factorial simply finds the multiplication of all the numbers of all the natural numbers from one 9 00:00:47,970 --> 00:00:49,410 to a given number. 10 00:00:49,590 --> 00:00:55,890 So, for example, if we want to calculate the factorial for numskulls two three, then our recursive 11 00:00:55,890 --> 00:01:02,370 function should return the result of one multiplied by two, multiplied by three, which is a total 12 00:01:02,370 --> 00:01:03,270 of six. 13 00:01:03,420 --> 00:01:09,330 And if we want to calculate the factorial for nummy equals two five, then our recursive function should 14 00:01:09,330 --> 00:01:15,220 return the result of one multiplied by two and so on, up to five, which is a total of one hundred 15 00:01:15,220 --> 00:01:15,800 and twenty. 16 00:01:15,980 --> 00:01:22,350 So basically we can say that the function for a given NUM should return the following result of one 17 00:01:22,350 --> 00:01:25,560 multiplied by two, multiplied by three and so on. 18 00:01:25,620 --> 00:01:32,340 Up until a given num so num minus one will be our one element before the last one. 19 00:01:32,370 --> 00:01:38,280 And num will be our last element in this multiplication factorial formula. 20 00:01:38,430 --> 00:01:39,500 Not so complicated. 21 00:01:39,510 --> 00:01:39,920 Right. 22 00:01:40,170 --> 00:01:43,530 And it's basically it's pretty similar to the previous example. 23 00:01:43,530 --> 00:01:51,300 We can see that the only thing that changed between these example to the previous one is that we just 24 00:01:51,390 --> 00:01:56,040 instead of using the addition operator, we are just using their multiplication. 25 00:01:56,160 --> 00:01:58,890 So also very similar to the previous question. 26 00:01:59,490 --> 00:02:02,820 So you will be able to write the factorial function with ease. 27 00:02:03,300 --> 00:02:08,430 I suggest using the same approach as we did previously and just to show you the multiplication from 28 00:02:08,430 --> 00:02:09,390 left to right. 29 00:02:09,510 --> 00:02:13,480 So instead of taking a look at this formula from the left to the right. 30 00:02:13,510 --> 00:02:18,840 Right from one multiplied by two and so on, we will look at from right to left, which is num multiplied 31 00:02:18,840 --> 00:02:21,270 by num minus one and so on and so forth. 32 00:02:21,330 --> 00:02:23,790 You've got the idea the result will be the same. 33 00:02:23,790 --> 00:02:28,390 Would it change anything, just the order that would look at the multiplication. 34 00:02:28,450 --> 00:02:31,920 But the overall result is going to be the same. 35 00:02:32,040 --> 00:02:35,790 And now it's time for some Hanzo in our programming language. 36 00:02:36,000 --> 00:02:36,600 So let's go. 3738

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