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Hello, everyone, welcome to this session.

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So in this session, what we will do so we will try to solve one more problem with the help of commission.

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So the name of the problem is the numbers.

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OK, so we will record this problem.

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We will solve this problem with the help of the commission.

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So what these problems suggest, so if the value of these five, what would I have to do?

7
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So I have to print the numbers from one to end.

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So if the value of minus five, I will print the number one, two, three, four, five.

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If the value of and three, I will print the numbers.

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One, two, three.

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OK, so what I have to do, I have to write a function print and and this print and function.

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What it will do, it will print the number, it will start printing from one billion.

13
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OK, so this is the work of this function.

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We can solve this problem very easily using default all the way, but we have to solve this problem

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using.

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So using irrigation, what I have to do if I want to solve the problem for and then I have to solve

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the problem for the smaller end.

18
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OK, so what this printing function will do, so this printing function, it will print the number from

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one to end.

20
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OK, so this printing function, it will print the numbers from one, two and.

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So can I write like this?

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So what this print and minus one function will do so print and function, its job is to print the numbers

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starting from one then.

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What this sprint and minus one will do, so it will start printing the number from one bill and minus

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one.

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OK, and this is our goal.

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And this, this and this will be put off and minus one function, then after printing, then minus one

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we will print and OK after printing and minus one we will print another term.

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So unless we also get printed.

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So these two will become equal.

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OK.

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So this will be our recursive case.

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Simple enough.

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OK, so let's write the code for this.

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So first of all, word of the return type return will be void because I'm not I'm not returning anything.

36
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I'm basically printing, OK, so I have to print what it will take.

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It will take on this argument.

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OK, so first of all, what will be the best case?

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Whatever the best case, so basically the smallest the smallest problem whose solution we already know.

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So the smallest problem will be if the value of any zero, so if the value of any zero, what I have

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to do, what I have to print, I do not have to print anything, OK, if the value of Aniceto do not

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print anything.

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So this will be our best case because I have to start printing from one you can see here.

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We have to start printing from one.

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If the value of an is zero, we will not print painting.

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OK, I have to start printing from one.

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You can also write the best case for an equals one.

48
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Also, if the value of this one, then print one.

49
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OK, so as you wish you can as a wish, you can modify the Good Samaritan type word.

50
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Hence I am not understanding anything.

51
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OK.

52
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So if the value of any zero then do not print anything otherwise.

53
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First, what do you have to do.

54
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Recursive case.

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So recursive case will be.

56
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So dysfunction, brain function, it brings the number from one to and now I'm calling this brain function

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four and minus one, what will happen?

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Our numbers will get brain dead from one twin.

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So what will the output of this line?

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This line will print the numbers starting from one.

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And minus one.

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OK, so this is the this is our output in line number 11.

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OK, so this is our output line number 11.

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Now our third thing.

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So the calculation part, what I have to do, I have to print and it's done.

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OK, now let's print.

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OK, so this is our output.

68
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OK, so this print function, what it what it does is it brings the number from one twin print, then

69
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minus one, it will print the number from one to ten, minus one.

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And then I am printing the net number.

71
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OK, now let's call this function, let's call this print function.

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Four to five.

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OK.

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Now, let's than another file, OK, so dysfunctional, not returning anything, so I have to call this

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function, I cannot write you out, OK, because dysfunctional, not running anything.

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Now let's an our file.

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So this is our output one, two, three, four and five.

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OK, so our goal is working fine.

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Now after writing the code, what we have to do, we have to make their diagram.

80
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We have to tighten our code so we can understand it better.

81
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OK, so Brent five, the value of and is five.

82
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OK, so this is five.

83
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So I am writing the output here.

84
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I will write the output here.

85
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OK, so five will call on four.

86
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Four will call on three.

87
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Three will call on two, two will call on when, one will call on zero.

88
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So if the value of any zero, what I'm doing is done.

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So I will come here.

90
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We're done.

91
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OK, so one was waiting at line number 11 when was waiting in line number 11.

92
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Now I will reach your line, but I didn't see out and OK, so at this line what will happen to out end.

93
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So when will get printed.

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Now you can write a written statement here also.

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OK, they're done the statement.

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This is optional.

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So what will happen.

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I will come here.

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OK, so the value of this to so, too, was also waiting at line number 11, then CO2, so too will

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get printed.

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So one gets printed first, then two printed, then are done.

102
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I will write the line written, I will write the statement written.

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But this is optional.

104
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Okay, because the cord and red line number 15.

105
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So writing written is optional here.

106
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So the value of industry now will get better.

107
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So return the value of this for for will get printed the value of faintness five, five years, get

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printed and then finally return, I will reach the mean and then return.

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Our program will be over and this will be our output.

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OK, so you might so you might have confusion.

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So I am returning.

112
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I am writing right down here, ok.

113
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It will not affect our goal of course will still work fine.

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So our output is still one, two, three, four, five.

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OK, so our goal is working fine now.

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One more thing.

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So here.

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I have been the numbers in ascending order.

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I am printing the numbers in ascending order one, two.

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Now, whatever, I want to print the number in descending order, for example, of the value of and

121
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his wife, I want to print five, four, three, two and one.

122
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OK, this is how I want to print the number.

123
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Basically, I want to print the number in descending order.

124
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OK, so what we will do let's say I am writing print to function, so print to what it will take, it

125
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will take and as input and its work is what it will do, it will print the numbers in descending order.

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Five, four, three, two and one.

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OK, so first of all, what I will do, I will print and OK, because the value of it is five five is

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getting printed first.

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So first of all, I will print that number in and then I will call the function and minus one.

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So what.

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And minus one will do so and minus one will start bending the numbers from and minus one then and minus

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two L1.

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OK, and first of all and we'll get printer and our work was also the same.

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We have to print the numbers in descending order.

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OK, so first I have to print N and then I will call, I will call the same function here.

136
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It will be a portrait of this.

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So first I was calling and minus one and then I was printing and but here first I will print N and then

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I will call and minus one.

139
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OK, so basically descending order will be the opposite of the ascending order.

140
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OK, so what I will do, let's write print to function.

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Let us copy this code.

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So this is Sprink to function now what I have to do, I have to just change the order of these two lines.

143
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So first, I will print an.

144
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OK, so this will be our bench to function, so to function, what it does is.

145
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So this is our best case now.

146
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First I will print and and then I will call and minus one.

147
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So sorry, this will be print to OK, print to function.

148
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So what this function will do.

149
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It will start printing the numbers from and minus one.

150
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Well, one, OK, so this will be the output of this line, but before the output of this line, I am

151
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printing and OK, now let's call print to function.

152
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So I'm calling print to function and I'm giving fifers input.

153
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So our output will be five, four, three, two and one.

154
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OK, so let's another good.

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So I put five, four, three, two and one now after writing the code, what we have to do, we have

156
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to have a goal so that we can understand what is going on here.

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OK, so the value of N is five.

158
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OK, so this is five and I will write my output here.

159
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OK, so five is not close to zero C out and so five will get printed and then I am calling print to

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function with the value and minus one.

161
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OK, so the value of Anisfield four is not close to zero zero then.

162
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So four will get printed then.

163
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We are calling with a smaller function.

164
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OK, I will call on three.

165
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Then they will get printed, I will call and one I will call and do two is not close to zero, then

166
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I will bring it to.

167
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Then will call on one.

168
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So one is not close to zero, so I will bring one, then I will call on zero zero zero equals zero.

169
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Then I what I will do, I will return.

170
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So I will return.

171
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So when was waiting at line number 26.

172
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OK, this one was waiting at line number 26 then written, so written there was also waiting at line

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number 26 and then return.

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So I will return three was waiting in line number 26 then it will return four was also waiting.

175
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I remember 26 then written and then five was also waiting at line number twenty six and then return.

176
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So it had done so and this is our output.

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Five, four, three, two, one.

178
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OK, so I hope you understand the code, how it is working.

179
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OK, so writing this return but writing this written statement is optional here.

180
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If you want you can remove it also.

181
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OK, for example let's remove this line and then also have a code of a code will work because the function

182
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ends here and there, the function and that automatically means that are done OK with the void you have

183
00:11:38,860 --> 00:11:39,790
option to return.

184
00:11:40,660 --> 00:11:44,140
This is optional here, but writing return here is mandatory.

185
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OK, writing the return statement inside the IF is mandatory.

186
00:11:48,520 --> 00:11:51,760
OK, so this return is compulsory.

187
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Otherwise, what will happen if I will not write the written statement, what will happen, I will commit

188
00:11:58,680 --> 00:12:00,610
line number 22, which is wrong.

189
00:12:00,910 --> 00:12:04,200
OK, so writing written is mandatory here.

190
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But this return is optional.

191
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OK?

192
00:12:11,840 --> 00:12:13,780
And also, this return is optional.

193
00:12:16,130 --> 00:12:22,400
Now, I doubt this are done, but now if we run our program, our program will still work fine out probably

194
00:12:22,550 --> 00:12:23,690
five, four, three, two, one, one.

195
00:12:23,780 --> 00:12:27,520
OK, so I hope you understand why this is mandatory.

196
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I am.

197
00:12:28,250 --> 00:12:29,160
Let's try to.

198
00:12:29,690 --> 00:12:32,360
So it was a value of industry.

199
00:12:32,390 --> 00:12:35,380
Let's say I am calling brain to function for the value of industry.

200
00:12:35,660 --> 00:12:36,920
So three, what will happen.

201
00:12:36,920 --> 00:12:42,490
Three will call on, two do will call and one no one will call on zero zero zero equals zero.

202
00:12:42,860 --> 00:12:46,030
So if you will not read the written statement, what will happen.

203
00:12:46,280 --> 00:12:47,560
So zero will come here.

204
00:12:48,320 --> 00:12:50,060
Zero zero zero zero will get.

205
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This is our output.

206
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So what will happen.

207
00:12:52,130 --> 00:12:53,210
Zero will get printed.

208
00:12:54,440 --> 00:12:56,360
OK, so this is Brent to function.

209
00:12:56,390 --> 00:12:59,220
So what will happen to our output is three to one.

210
00:12:59,480 --> 00:13:00,190
Now what will happen?

211
00:13:00,210 --> 00:13:02,880
The value of N is zero, so zero zero.

212
00:13:02,900 --> 00:13:05,630
But if the written statement is not here, then what will happen?

213
00:13:05,630 --> 00:13:07,160
I will come line number 23.

214
00:13:07,430 --> 00:13:08,750
So zero will get printed.

215
00:13:09,380 --> 00:13:12,980
Then what I will do, I will call on Ben to function and mightiness.

216
00:13:12,980 --> 00:13:18,950
And so it will call on minus one, then minus one will get printed, it will call on minus two, it

217
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will call on minus three and so on.

218
00:13:20,600 --> 00:13:22,880
Basically infinite loop problem will be there.

219
00:13:23,690 --> 00:13:25,680
OK, so infinite loop problem will be there.

220
00:13:25,700 --> 00:13:27,740
That's why this return is mandatory here.

221
00:13:27,740 --> 00:13:29,290
If this are done, is there what will happen.

222
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I will return from zero.

223
00:13:30,860 --> 00:13:32,900
OK, and this will not happen.

224
00:13:33,730 --> 00:13:38,450
OK, so this return is mandatory and there is this written is optional.

225
00:13:38,630 --> 00:13:39,020
OK.

226
00:13:42,200 --> 00:13:45,200
And similarly for this one, also for brain function.

227
00:13:45,480 --> 00:13:48,140
OK, what will happen?

228
00:13:48,440 --> 00:13:50,150
Suppose the value of industry.

229
00:13:51,950 --> 00:13:56,480
Now, what will happen and is not close to zero, this this is our output.

230
00:13:56,850 --> 00:13:58,450
I'm calling on smaller part.

231
00:13:58,460 --> 00:14:02,950
So to do will call on when one will call on zero.

232
00:14:03,380 --> 00:14:05,010
OK, so zero zero.

233
00:14:05,270 --> 00:14:07,330
So if the written statement is there, what will happen?

234
00:14:07,520 --> 00:14:10,680
I will come out one and then one will get printed.

235
00:14:11,600 --> 00:14:15,920
But if this written statement is not there, what will happen?

236
00:14:16,850 --> 00:14:21,740
What will happen when I call on zero zero zero but the written statement is not there, then I will

237
00:14:21,740 --> 00:14:23,180
come here a headline number 11.

238
00:14:23,180 --> 00:14:26,720
I will call minus one, then minus and will call on minus two.

239
00:14:26,720 --> 00:14:28,340
Minus two will call on minus three.

240
00:14:28,340 --> 00:14:31,030
Ansun, basically infinite loop problem will be there.

241
00:14:31,700 --> 00:14:33,580
That's why I return is mandatory here.

242
00:14:33,620 --> 00:14:37,550
OK, inside the base case returns statement is mandatory.

243
00:14:38,090 --> 00:14:39,290
OK, remember this thing.

244
00:14:40,460 --> 00:14:41,930
So I hope you understood the school.

245
00:14:42,150 --> 00:14:43,340
OK, thank you.