Description

You can check your solutions here: https://judge.softuni.bg/Contests/Practice/Index/599
1. Sum Matrix Elements
Write program that read a matrix from console and print:
• Count of rows
• Count of columns
• Sum of all matrix elements
On first line you will get matrix sizes in format [rows, columns]
Examples
Input Output
3, 6
7, 1, 3, 3, 2, 1
1, 3, 9, 8, 5, 6
4, 6, 7, 9, 1, 0
3
6
76
Hints
• On next [rows] lines you will get elements for each column separated with coma and whitespace
• Try to use only foreach for printing
2. Square With Maximum Sum
Write a program that read a matrix from console. Then find biggest sum of 2×2 submatrix and print it to console.
On first line you will get matrix sizes in format rows, columns.
One next rows lines you will get elements for each column separated with coma.
Print biggest top-left square, which you find and sum of its elements.
Examples
Input Output
3, 6
7, 1, 3, 3, 2, 1
1, 3, 9, 8, 5, 6
4, 6, 7, 9, 1, 0 9 8
7 9
33
2, 4
10, 11, 12, 13
14, 15, 16, 17 12 13
16 17
58
Hints
• Think about IndexOutOfRangeException()
• If you find more than one max square, print the top-left one
3. Group Numbers
Read a set of numbers and group them by their remainder when dividing to 3 (0, 1 and 2).
One first line, you will get numbers separated with coma and whitespace.
Examples
Input Output
1, 4, 113, 55, 3, 1, 2, 66, 557, 124, 2
3 66
1 4 55 1 124
113 2 557 2
1, 4, -113, 55, -3, 1, -2, 66, 557, -124, 2 -3 66
1 4 55 1 -124
-113 -2 557 2
Hints
• Think about how to get all rows lengths
• First element in each array will be easy, but what will happen with next numbers we need to add to each row. Probably you will need one more array to save the next index for each row
4. Pascal Triangle
If you want more info about it: https://en.wikipedia.org/wiki/Pascal’s_triangle Print each row elements separated with whitespace.
Examples
Input Output
4 1
1 1
1 2 1
1 3 3 1
13 1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1
1 10 45 120 210 252 210 120 45 10 1
1 11 55 165 330 462 462 330 165 55 11 1
1 12 66 220 495 792 924 792 495 220 66 12 1
Hints
• The input number n will be 1 <= n <= 60
• Think about proper type for elements in array
• Don’t be scary to use more and more arrays