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Hi everyone.



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So in this lesson we are going to learn what our two dimensional at is so consider for example you want



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to implement board a game.



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So let us consider that you want to implement our tic tac toe game so intact tactile we have a basically



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two dimensional Larry and basically direct to you rules and three columns so this matrix has a dimension



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of three cores three now with the current knowledge that we have.



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How can we store detectable.



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So basically the first option is with the use of three one dimensional Eddie.



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So I will create three areas.



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So even if you do and 80



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so even will correspond to the first rule you two is going to correspond for the second row and A3 is



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for the third row of detectors.



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So this even restore the data president in the first row you to restore the data president in the second



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row and a previous order data present in the third row.



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So for example if you do something here if are going to store something here.



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Then that data will be stored at this point.



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If you want to store something at this location.



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So you have to go to edit 3 and add zero index.



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You will solve the data.



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So this is the first option but this option is not very good.



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Why this is not very good.



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Because suppose you want to implement a chess game so inches you have it cross it.



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So basically you have to take it one dimensional Eddie.



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So even do it.



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So I have to take it one be Eddie one dimensional Eddie.



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So this first option is not a very good option.



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Now the second option for implementing tic tac toe.



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What can I do.



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So in total I have nine cents.



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So what I will do I will create a one degree.



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And in this one day I will basically have.



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So this one day it will be of size nine.



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So the first and next will be zero.



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And the last index is going to be eight now for example if you want to insert something at this location.



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So if will do the indexing so 0 1 Do you remember the indexing always starts from zero.



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So this is 0 1 2.



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Now what I want to do I want to store something at this location.



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So it's the rule number is two.



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And it indexes one.



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So I want to store something at this location to code 11 and what this location will be in this area.



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So basically if you count so one two three four five six seven and eight.



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So its location will be seven so you will store whatever you are going to store at this location that



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will be stored at the nexus 7 corresponding to this one that mission at.



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So this is our second option or it off implementing the tic tac toe again.



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So the problem with this approach is basically you have to calculate.



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You have to do some calculation to find out the index in the 80 but the third option of implementing



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tic tac toe is with the help of two damaged letters.



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So now let's see what are two damage salaries.



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So as the name suggests there will be two dimensions just like three across three.



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So basically there are two dimensions in chess.



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We have two dimensions eight closet.



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So now let's see how we will create our to damage Hillary.



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So for example if you want to create an idea what you will write you will write it deja if you want



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to create a different teacher then the name of the array and then let's say I want lent five.



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So what will happen you will get an array the first index is going to be zero and the last index is



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going to be.



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Now if you want to create a tool that that it would do well right.



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So I want to create the Mitchell that often do just so I will give the data type then the name of the



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area.



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So I want to be led to the name of that is B.



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Now you have to give two things.



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So here the ad is a one dimensional.



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So you just have to give the land.



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But the two that Mitchell at is.



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So there are two damage and first I have rules and I have columns.



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So what I will do I will write like this one box and second box.



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So this first box will contain how many tools and the second box will contain how many columns.



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So for example if I give 3Com a Ford 3 and 4.



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And so what really we might do these metrics.



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So I will have three rows and I will have four columns.



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So this is the number of rows so Tito's so these are the tables and I want four columns.



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So this is the first column.



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The second column third and fourth column and we know the indexing in the IRS starts from zero.



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So similarly the indexing will start some 0 so the 0 1 2 3 I have four columns and 0 1 2.



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So I have three rules.



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So what is the last index last year nixes basically two commentary.



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What is the first index so Foster indexes is a zero comma zero.



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So now let's say if you want to take input.



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So how can you take input.



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So in every if you've undertaken.



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So what we have to do.



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I will write how many elements you want to insert.



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Then I will take the number of elements and then basically you have to use a for loop starting from



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zero and I list in it.



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And I plus plus.



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And then you will do something like this.



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Each if I use the name of the area.



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So for taking the input from the user we have to do this thing.



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Now let's see how we can take input in beauty metrics into their machinery.



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So let's see.



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So there are two ways of taking input.



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So what is the first option.



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So the first option is basically take input always and the second option is basically take input column



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wise.



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So what is the meaning of railways.



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So railways is very common and we will use this only so railways means taken but for the zero total



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then take input for the first row then they can put for the second to first of all I have to do.



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I will take how many rules and how many columns.



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So for these two.



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The first step is going to be same you will create a truly matrix.



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So let's say number of rules are handed number of columns that are also a hundred then you will take



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two variables four rows and columns.



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So let's call them a man and then you will take how many rows and it will take how many columns.



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So here M signifies rules and is basically the number of columns.



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So the first step is going to be very same.



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Just like we used to take and hit here we take two variables number of frozen number of columns.



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Now the defense will come that you are going to take in rural ways or column wise.



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So let's say if the valley of M is let's say 3 and and is 2.



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So basically what do list situation.



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So I'm going to have clear rules and only two columns so please rows and two columns so this is a situation.



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This is 0 1 2 and this is 0 and 1.



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Now let's talk about railways input so if you want to take in brutal ways let's take input for the name



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of the arrays.



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Name of the to the arrays B.



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So first you will take then put 4 0 0 you will write seen 0 0.



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Then you will write 0 1 then you will write 1 0 so this is for the first row.



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Cholesterol has been over.



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Now taking input for the second to an index is 1.



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So since the first column this is the second column then so then I will take the input for this and



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now take the input for the third row.



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So you will write.



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So this index is two commas 0 so to zero and this one is actually 2 1.



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So you will write to 1 and again seen.



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So this is taking input rule wise I am thinking and put the weights.



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Similarly you can do the opposite if you want to take and put column ways where you can do first fill.



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First take the input for the cell then take the input for this cell.



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So column wise is very similar to that always.



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So for now let us concentrate on the ways because everyone uses revise revise is more popular.



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So if you want taken But Roy's what quote We have to write.



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So if you can see what we are doing here.



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So I need two loops.



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I'm going to take in three ways.



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So I need to loop so one loop for hydrating over the rules and second loop for iterating over the columns.



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Simple.



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I am repeating myself.



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I want to take input railways so I need to loop one loop related or what the routes and one loop related



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or what the columns.



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Simple and what we have to do so for each row for each row I have to take input for all the columns.



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Similarly for the second row I will take input for all the columns.



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Similarly for the third row I will take input for the third column for the fourth row.



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I will take input for the fourth column to two loops will be there.



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So the outermost loop will either rate or what the rules.



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So let's say I equals zero number of rules are m so I listed them and I plus plus so this is the loop



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for trading or whether it was normal for each.



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I have to I read all the columns.



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So one loop inside this bigger loop.



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So this is for real.



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So this loop is going to migrate over the rules and we know that for each all I have to take the input



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for all the columns.



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So let's take a variable j so J quizzical how many columns out there.



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So there are n columns to g list and N G plus plus.



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And again this index is very similar syntax is very simple C in the name of that is B.



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And I will write I yet rule and git column simple yet rule.



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I use the rule you can see I used the rule and g at column so g is the column.



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So this is the way I will take input from the user in that way.



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I used to take input like this I equals zero.



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I left an N A plus plus and I used to write C in e of I so the idea is very similar here.



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I was just I over the area because the area was one dimensional but here we have two dimensions.



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Since we have two dimension then it is obvious that we need two loops.



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So this is the outer loop and this one is the inner loop again very simple first we have to get rid



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of what the rules.



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And for each rule I have to enter the order column because I'm taking input railways column.



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What will happen.



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So this will become outer loop and this will become inner loop.



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Just the opposite so.



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Now let us write the code and let's see how to create a three Matrix so let us create a two the matrix.



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So I do two dimensional Larry let's say the name of that is e the number of those hundred and let's



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say the number of columns that hundred now what they have to lose for taking the input from the user.



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I need to take how many rules are and how many columns.



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So give me how many rows and give me how many columns.



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Now I am taking in vertical ways.



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So I need one loop.



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Do I know what that was.



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So I am I iterating over the rows and now I need one loop for iterating over the columns.



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So for each and all I have to either do the column so I equals.



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So we have to take another variable so Jake will see zero g list and n and G plus plus and then I will



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take seeing it off I I get through and G column.



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So this code is exactly the same as we discussed here.



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Exactly same code.



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So what I'm doing it I am I dating order.



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And for each rule I am my dating order column.



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Then take the input I get through and g at column so let's try to run our program and let's see everything



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is working fine or not.



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So first I have to give the value of I mean.



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So let's say I want two rows and columns.



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Now it is waiting for my input.



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So how many elements I have to give or two in two three to cross three.



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So I have to give six elements.



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So let's say the elements are one two three four five and six and press enter.



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So basically I have a code is working fine.



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Our code is properly taking our input.



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Now for this for this input what will be our metrics.



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So our metrics is going to be very simple so you give the value of so you give m equals two and you



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give any quiz three and then you give six entries.



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So one two three four five six so if you will draw the matrix it will draw due to their mission Larry



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you need tools.



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So tools and you need three columns.



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So three columns and then you give six entries one two three four five and six.



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This is to include three metrics.



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This is 0 1 and 2 this is 0 and 1.



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So this is the input.



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Now let us try to print this metrics.



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So I want to print this metrics and I want to see how many metrics look like.



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So again we have two option.



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So first is to always print the metrics.



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So print the first rule.



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It will print the first rule 1 2 3.



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Now print the second doing 2 4 5 6 and the second option is let's print the column.



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Just like taking input.



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We can also print column bytes for example print the first column so it will be 1 4.



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Now print the second column so it will be 2 5.



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Now print the third column so it will be 3 6.



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So let's print otherwise and then we will also print the Columbine.



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So for printing it always if I want to print ways how will I print again.



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Just like taking input.



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Where do we look we will need two loops.



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What I want to do so for each row for each row I will I to the weather column and I will print the content.



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Similarly for the next row I related order column and I will print the content.



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So I need two loops.



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So the first loop is going to a trade or whether those two equals you do a less than M and A plus plus



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and for each row what we have to do we have to print the content.



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So for printing the content I have to I trade over the columns.



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So j equals zero g less than N N G plus plus and print the content to see out the name that is B I want



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to print I utero and g at column now after printing that all.



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So after printing the rule after printing the all I have to go to the next year.



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So for going to the next row I will write C out and line simple.



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So let us Sprint our metrics through ways so this the old line is basically for going to the next level.



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Simple.



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So we will give this input and let us sprint the roadways.



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So let's see



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what printing railways.



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Let me write here.



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I am printing railways and this is also railways so we can just copy the code copy the code and pasted



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here.



235

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So what we are doing instead of seeing what I will write I will write C out MySQL.



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We are printing the content.



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And after printing window.



238

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So for going to the next rule you will write C out and line and that's all.



239

00:16:19,790 --> 00:16:28,060

So this is the railway sprint so I have basically two rows and columns and I have to give six elements.



240

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So the elements are one two three four five and six.



241

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And this is so okay.



242

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So I didn't give the space.



243

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So that's why they are printing.



244

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That's why that's why my output is veered so let's give the space so I am giving spaces between the



245

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elements.



246

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Now output will be incorrectly two rows three columns.



247

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Now to give six elements a one two three four five and six.



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So this is the content of the two dimensional area railways.



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One two three and four five six.



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You can see one two three and four five six.



251

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So I will call this printing railways output in the correct manner.



252

00:17:11,380 --> 00:17:19,780

Now let us try to print column wise so if you want to print columns What do you have to do.



253

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Again very simple.



254

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What do we do.



255

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So for each column I have to trade or whether it was just we will do the opposite.



256

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What I am saying so what was it always so it always says I try to weather rules.



257

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And for each it'll printed the column what column by says



258

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you a trade or weather column.



259

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And for each column you will print that all simple.



260

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So basically what will be our record.



261

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So our code will look like this.



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First we have to trade all the columns.



263

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So for right trading with a column so I so I equals zero.



264

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I list and a number of columns that N and a plus plus.



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So I am migrating over the columns.



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And for each column I have a total with the rules so remember M is rules and is the number of columns.



267

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So you can see here rows and columns.



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Similarly this is columns and



269

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so I am migrating over these rules.



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Now for each column we have to trade or whether it was so j equals zero g list an M C++.



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I will simply write C out the name of the edit is B I want to print a yet column.



272

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So if you want to print diet column so I will come here and Deer Trail.



273

00:18:58,550 --> 00:19:03,000

So here it was A.G. But here what is I.



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So this is I.



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00:19:04,860 --> 00:19:06,470

And this is G.



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So Jay's actually derail and 1st index so.



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So this one this is actually it'll and this is column so here you have two right.



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00:19:17,890 --> 00:19:21,290

J first and then I.



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Because Jay's rule i e column and after printing one column for going to the next column you will write



280

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a c out and line and that's all.



281

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So this is printing column weights.



282

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This is how we will print column wise.



283

00:19:38,150 --> 00:19:38,910

Simple.



284

00:19:38,960 --> 00:19:40,130

So what should be our output.



285

00:19:40,130 --> 00:19:43,950

So our approach would be 1 4 2 5 and then 3 6.



286

00:19:43,970 --> 00:19:48,350

So let me write this called.



287

00:19:48,560 --> 00:19:55,640

So this is the way sprint now I want to print column wise so let's print



288

00:19:58,540 --> 00:20:00,880

column by is so approach is very simple.



289

00:20:00,890 --> 00:20:03,580

We have to write trade with the columns so i equals zero.



290

00:20:03,590 --> 00:20:07,190

I less than anyplace else I am taking over the columns.



291

00:20:07,190 --> 00:20:11,540

And for each column I have to iterate over that it was so j equals zero.



292

00:20:11,630 --> 00:20:17,930

Similarly G less than M.G. plus plus and then I want to print.



293

00:20:18,020 --> 00:20:20,050

So the name of the ad is B.



294

00:20:20,290 --> 00:20:21,620

I'll get a name that is a.



295

00:20:21,630 --> 00:20:31,650

So I want to print my dear true and I get column and we will give spaces between the elements and after



296

00:20:31,650 --> 00:20:35,600

printing the one column for going to the next column.



297

00:20:35,710 --> 00:20:36,300

Right.



298

00:20:36,330 --> 00:20:37,680

She out and Lane.



299

00:20:37,800 --> 00:20:38,580

So this is all.



300

00:20:38,700 --> 00:20:39,900

So this is column wise.



301

00:20:39,900 --> 00:20:40,530

Now let's see



302

00:20:46,890 --> 00:20:53,520

number of rows are two number of columns are three and elements are 1 2 3 4 5 and 6.



303

00:20:53,580 --> 00:20:54,870

So this is it always print.



304

00:20:55,380 --> 00:21:03,350

We have seen already and this is column I sprint 1 4 2 5 and 2 6



305

00:21:08,120 --> 00:21:09,010

so you can compare



306

00:21:16,850 --> 00:21:17,930

so you can compare both.



307

00:21:17,960 --> 00:21:28,360

So this is always just like this one and this is column bytes 1 4 2 5 and 3 6 1 4 2 5 and 6.



308

00:21:28,360 --> 00:21:29,740

So our goal is working.



309

00:21:29,740 --> 00:21:36,500

Hundred percent correct.



310

00:21:36,530 --> 00:21:37,820

So this is the complete core



311

00:21:41,710 --> 00:21:42,760

now in the next redo.



312

00:21:42,780 --> 00:21:45,570

We will discuss how we can initialize our duty.



313

00:21:45,660 --> 00:21:46,620

I will see you there.



314

00:21:46,640 --> 00:21:47,000

Bye bye.