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2d arrays

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🔹 Step 1: Introduction

👨‍🏫 Teacher:
“Bachcho, aaj hum 2D Array in C पढ़ेंगे.
Pehle yaad करो 1D array kya hota hai?
1D array ek line jaisa hota hai jisme elements side-by-side store hote hain.

But kabhi kabhi hume data ko rows aur columns ki form me store karna padta hai, jaise:

  • Cricket score table

  • Students ke marks in 3 subjects

  • Chess board

👉 Tab hum use karte hain 2D Array.”


🔹 Step 2: Definition

👨‍🏫 Teacher:
“2D array is basically an array of arrays.
Socho jaise ek table:

Row 0 → [ 10   20   30 ]
Row 1 → [ 40   50   60 ]

Yaha row aur column dono hote hain.”


🔹 Step 3: Declaration

👨‍🏫 Teacher:
“Syntax:”

data_type array_name[rows][columns];

Example:

int marks[3][4];  // 3 rows, 4 columns

💡 Question for Students:
👉 Agar maine int arr[5][6]; banaya hai, to total kitne elements honge?
Answer = 5 × 6 = 30 elements.


🔹 Step 4: Initialization

👨‍🏫 Teacher:
“Array ko initialize karne ke 3 common tarike hote hain.”

(i) Row-wise braces:

int a[2][3] = { {1,2,3}, {4,5,6} };

(ii) Without braces:

int b[2][3] = {1,2,3,4,5,6};

(iii) Partial initialization:

int c[2][3] = { {1}, {4,5} };
// Result = { {1,0,0}, {4,5,0} }

🔹 Step 5: Accessing Elements

👨‍🏫 Teacher:
“Kisi bhi element ko access karne ka formula:”

arr[row][column]

Example:

printf("%d", a[1][2]);  
// Means → 2nd row, 3rd column

🔹 Step 6: Input/Output with Loops

👨‍🏫 Teacher:
“Jab hume user se values leni hain aur print karni hain, to nested loop ka use hota hai.”

#include <stdio.h>
int main() {
    int arr[2][3];

    // Input
    printf("Enter 6 elements:\n");
    for(int i=0; i<2; i++) {
        for(int j=0; j<3; j++) {
            scanf("%d", &arr[i][j]);
        }
    }

    // Output
    printf("Matrix is:\n");
    for(int i=0; i<2; i++) {
        for(int j=0; j<3; j++) {
            printf("%d ", arr[i][j]);
        }
        printf("\n"); // row complete hone ke baad new line
    }
    return 0;
}

📌 Teacher dry run:

  • Suppose input = 1 2 3 4 5 6

  • Matrix banega:

1 2 3  
4 5 6

🔹 Step 7: Memory Representation

👨‍🏫 Teacher:
“C me data row-major order me store hota hai.”

Example:

int a[2][3] = { {1,2,3}, {4,5,6} };

Memory:
1 2 3 4 5 6

👉 Matlab pehle puri row-0 store hoti hai, fir row-1.


🔹 Step 8: Applications

👨‍🏫 Teacher:
“2D arrays kaha use hote hain?

  • Matrices solve karne me

  • Tabular data (marks, sales report)

  • Image processing (pixels row × column)

  • Games (tic-tac-toe, chessboard)”


🔹 Step 9: Practice Questions

👨‍🏫 Teacher to Class:
“Ab kuch important problems karte hain.”

  1. Matrix ko row-wise aur column-wise print karo.

  2. Transpose of matrix likho.

  3. Har row aur column ka sum nikalo.

  4. Kisi element ko search karo.

  5. 2 matrices ka multiplication karo.


📢 Teacher:
“Ab homework: Har problem ko ek-ek karke code karke try karo.
Next class me hum transpose aur sum of rows/columns ka code detail me dry run karenge.”

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