Print triangle separated pattern
In this article, we will explore the problem of printing a triangle separated pattern. We will provide an explanation of the problem statement, a suitable example, an algorithm and pseudocode with explanations, and an explanation of the resultant output. The code provided in the question will not be included in this article. Let's dive in!
Problem Statement
The problem is to print a triangle separated pattern of a given size. The pattern consists of asterisks (*) and diagonal lines (╲ and ╱). The triangle pattern is separated by a central element, which is represented by a cross symbol (╳) when the size is odd. The pattern is symmetric with respect to this central element.
Example:
For a size of 5, the pattern looks like this:
╲***╱ *╲*╱* **╳** *╱*╲* ╱***╲
Complete Pseudocode
function printPattern(size):
if size <= 2:
return
print "Size: ", size
for i = 0 to size-1:
for j = 0 to size-1:
if size is odd and i = size/2 and i = j:
print "╳"
else if j = i:
print "╲"
else if size - 1 - i = j:
print "╱"
else:
print "*"
print newline
function main():
printPattern(5)
printPattern(7)
printPattern(10)
printPattern(3)
Algorithm
1. Start.
2. Accept the size of the pattern.
3. If the size is less than or equal to 2, return.
4. Print the size of the pattern.
5. Initialize variables i and j for controlling the row and column operations.
6. Iterate over the rows from 0 to size-1.
7. Iterate over the columns from 0 to size-1.
8. Check if the size is odd and the current position is the middle element.
- If true, print the cross symbol (╳).
9. Check if the current position is on the diagonal (j == i).
- If true, print the diagonal line (╲).
10. Check if the current position is on the opposite diagonal (size - 1 - i == j).
- If true, print the diagonal line (╱).
11. If none of the above conditions are satisfied, print an asterisk (*).
12. Print a new line.
13. Repeat steps 6 to 12 until all rows and columns are printed.
14. End.Code Solution
// C Program
// Print triangle separated pattern
#include <stdio.h>
void printPattern(int size)
{
if (size <= 2)
{
return;
}
printf("\nSize : %d \n\n", size);
// Loop controlling variables
int i = 0, j = 0;
// Loop, which is control the printing row operations
for (i = 0; i < size; ++i)
{
// Loop, which is control the printing column operations
for (j = 0; j < size; ++j)
{
if(size%2 != 0 && i == size/2 && i == j)
{
// Middle element of Even size
printf("╳");
}
else if ( j == i)
{
printf("╲");
}
else if(size - 1 - i == j)
{
printf("╱");
}
else
{
// Include star
printf("*");
}
}
// Include new line
printf("\n");
}
}
int main()
{
/*
Example Size : 5
----------------
╲☀☀☀╱
☀╲☀╱☀
☀☀╳☀☀
☀╱☀╲☀
╱☀☀☀╲
----------------
*/
// Simple test
printPattern(5);
printPattern(7);
printPattern(10);
printPattern(3);
return 0;
}input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲/*
Java Program
Print triangle separated pattern
*/
public class TrianglePattern
{
public void printPattern(int size)
{
if (size <= 2)
{
return;
}
System.out.print("\nSize : " + size + " \n\n");
// Loop controlling variables
int i = 0, j = 0;
// Loop, which is control the printing row operations
for (i = 0; i < size; ++i)
{
// Loop, which is control the printing column operations
for (j = 0; j < size; ++j)
{
if (size % 2 != 0 && i == size / 2 && i == j)
{
// Middle element of Even size
System.out.print("╳");
}
else if (j == i)
{
System.out.print("╲");
}
else if (size - 1 - i == j)
{
System.out.print("╱");
}
else
{
// Include star
System.out.print("*");
}
}
// Include new line
System.out.print("\n");
}
}
public static void main(String[] args)
{
TrianglePattern task = new TrianglePattern();
/*
Example Size : 5
----------------
╲☀☀☀╱
☀╲☀╱☀
☀☀╳☀☀
☀╱☀╲☀
╱☀☀☀╲
----------------
*/
// Simple test
task.printPattern(5);
task.printPattern(7);
task.printPattern(10);
task.printPattern(3);
}
}input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲// Include header file
#include <iostream>
using namespace std;
/*
C++ Program
Print triangle separated pattern
*/
class TrianglePattern
{
public: void printPattern(int size)
{
if (size <= 2)
{
return;
}
cout << "\nSize : " << size << " \n\n";
// Loop controlling variables
int i = 0;
int j = 0;
// Loop, which is control the printing row operations
for (i = 0; i < size; ++i)
{
// Loop, which is control the printing column operations
for (j = 0; j < size; ++j)
{
if (size % 2 != 0 && i == size / 2 && i == j)
{
// Middle element of Even size
cout << "╳";
}
else if (j == i)
{
cout << "╲";
}
else if (size - 1 - i == j)
{
cout << "╱";
}
else
{
// Include star
cout << "*";
}
}
// Include new line
cout << "\n";
}
}
};
int main()
{
TrianglePattern *task = new TrianglePattern();
/*
Example Size : 5
----------------
╲☀☀☀╱
☀╲☀╱☀
☀☀╳☀☀
☀╱☀╲☀
╱☀☀☀╲
----------------
*/
// Simple test
task->printPattern(5);
task->printPattern(7);
task->printPattern(10);
task->printPattern(3);
return 0;
}input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲// Include namespace system
using System;
/*
Csharp Program
Print triangle separated pattern
*/
public class TrianglePattern
{
public void printPattern(int size)
{
if (size <= 2)
{
return;
}
Console.Write("\nSize : " + size + " \n\n");
// Loop controlling variables
int i = 0;
int j = 0;
// Loop, which is control the printing row operations
for (i = 0; i < size; ++i)
{
// Loop, which is control the printing column operations
for (j = 0; j < size; ++j)
{
if (size % 2 != 0 && i == size / 2 && i == j)
{
// Middle element of Even size
Console.Write("╳");
}
else if (j == i)
{
Console.Write("╲");
}
else if (size - 1 - i == j)
{
Console.Write("╱");
}
else
{
// Include star
Console.Write("*");
}
}
// Include new line
Console.Write("\n");
}
}
public static void Main(String[] args)
{
TrianglePattern task = new TrianglePattern();
/*
Example Size : 5
----------------
╲☀☀☀╱
☀╲☀╱☀
☀☀╳☀☀
☀╱☀╲☀
╱☀☀☀╲
----------------
*/
// Simple test
task.printPattern(5);
task.printPattern(7);
task.printPattern(10);
task.printPattern(3);
}
}input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲<?php
/*
Php Program
Print triangle separated pattern
*/
class TrianglePattern
{
public function printPattern($size)
{
if ($size <= 2)
{
return;
}
echo("\nSize : ".$size.
" \n\n");
// Loop controlling variables
$i = 0;
$j = 0;
// Loop, which is control the printing row operations
for ($i = 0; $i < $size; ++$i)
{
// Loop, which is control the printing column operations
for ($j = 0; $j < $size; ++$j)
{
if ($size % 2 != 0 && $i == (int)($size / 2) && $i == $j)
{
// Middle element of Even size
echo("╳");
}
else if ($j == $i)
{
echo("╲");
}
else if ($size - 1 - $i == $j)
{
echo("╱");
}
else
{
// Include star
echo("*");
}
}
// Include new line
echo("\n");
}
}
}
function main()
{
$task = new TrianglePattern();
/*
Example Size : 5
----------------
╲☀☀☀╱
☀╲☀╱☀
☀☀╳☀☀
☀╱☀╲☀
╱☀☀☀╲
----------------
*/
// Simple test
$task->printPattern(5);
$task->printPattern(7);
$task->printPattern(10);
$task->printPattern(3);
}
main();input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲/*
Node JS Program
Print triangle separated pattern
*/
class TrianglePattern
{
printPattern(size)
{
if (size <= 2)
{
return;
}
process.stdout.write("\nSize : " + size + " \n\n");
// Loop controlling variables
var i = 0;
var j = 0;
// Loop, which is control the printing row operations
for (i = 0; i < size; ++i)
{
// Loop, which is control the printing column operations
for (j = 0; j < size; ++j)
{
if (size % 2 != 0 && i == parseInt(size / 2) && i == j)
{
// Middle element of Even size
process.stdout.write("╳");
}
else if (j == i)
{
process.stdout.write("╲");
}
else if (size - 1 - i == j)
{
process.stdout.write("╱");
}
else
{
// Include star
process.stdout.write("*");
}
}
// Include new line
process.stdout.write("\n");
}
}
}
function main()
{
var task = new TrianglePattern();
/*
Example Size : 5
----------------
╲☀☀☀╱
☀╲☀╱☀
☀☀╳☀☀
☀╱☀╲☀
╱☀☀☀╲
----------------
*/
// Simple test
task.printPattern(5);
task.printPattern(7);
task.printPattern(10);
task.printPattern(3);
}
main();input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲# Python 3 Program
# Print triangle separated pattern
class TrianglePattern :
def printPattern(self, size) :
if (size <= 2) :
return
print("\nSize : ", size ," \n")
# Loop controlling variables
i = 0
j = 0
# Loop, which is control the printing row operations
while (i < size) :
# Loop, which is control the printing column operations
j = 0
while (j < size) :
if (size % 2 != 0 and i == int(size / 2) and i == j) :
# Middle element of Even size
print("╳", end = "")
elif (j == i) :
print("╲", end = "")
elif (size - 1 - i == j) :
print("╱", end = "")
else :
# Include star
print("*", end = "")
j += 1
# Include new line
print(end = "\n")
i += 1
def main() :
task = TrianglePattern()
# Example Size : 5
# ----------------
# ╲☀☀☀╱
# ☀╲☀╱☀
# ☀☀╳☀☀
# ☀╱☀╲☀
# ╱☀☀☀╲
# ----------------
# Simple test
task.printPattern(5)
task.printPattern(7)
task.printPattern(10)
task.printPattern(3)
if __name__ == "__main__": main()input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲# Ruby Program
# Print triangle separated pattern
class TrianglePattern
def printPattern(size)
if (size <= 2)
return
end
print("\nSize : ", size ," \n\n")
# Loop controlling variables
i = 0
j = 0
# Loop, which is control the printing row operations
while (i < size)
# Loop, which is control the printing column operations
j = 0
while (j < size)
if (size % 2 != 0 && i == size / 2 && i == j)
# Middle element of Even size
print("╳")
elsif (j == i)
print("╲")
elsif (size - 1 - i == j)
print("╱")
else
# Include star
print("*")
end
j += 1
end
# Include new line
print("\n")
i += 1
end
end
end
def main()
task = TrianglePattern.new()
# Example Size : 5
# ----------------
# ╲☀☀☀╱
# ☀╲☀╱☀
# ☀☀╳☀☀
# ☀╱☀╲☀
# ╱☀☀☀╲
# ----------------
# Simple test
task.printPattern(5)
task.printPattern(7)
task.printPattern(10)
task.printPattern(3)
end
main()input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲
/*
Scala Program
Print triangle separated pattern
*/
class TrianglePattern()
{
def printPattern(size: Int): Unit = {
if (size <= 2)
{
return;
}
print("\nSize : " + size + " \n\n");
// Loop controlling variables
var i: Int = 0;
var j: Int = 0;
// Loop, which is control the printing row operations
while (i < size)
{
j = 0;
// Loop, which is control the printing column operations
while (j < size)
{
if (size % 2 != 0 && i == size / 2 && i == j)
{
// Middle element of Even size
print("╳");
}
else if (j == i)
{
print("╲");
}
else if (size - 1 - i == j)
{
print("╱");
}
else
{
// Include star
print("*");
}
j += 1;
}
// Include new line
print("\n");
i += 1;
}
}
}
object Main
{
def main(args: Array[String]): Unit = {
var task: TrianglePattern = new TrianglePattern();
/*
Example Size : 5
----------------
╲☀☀☀╱
☀╲☀╱☀
☀☀╳☀☀
☀╱☀╲☀
╱☀☀☀╲
----------------
*/
// Simple test
task.printPattern(5);
task.printPattern(7);
task.printPattern(10);
task.printPattern(3);
}
}input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲/*
Swift 4 Program
Print triangle separated pattern
*/
class TrianglePattern
{
func printPattern(_ size: Int)
{
if (size <= 2)
{
return;
}
print("\nSize : ", size ," \n");
// Loop controlling variables
var i = 0;
var j = 0;
// Loop, which is control the printing row operations
while (i < size)
{
// Loop, which is control the printing column operations
j = 0;
while (j < size)
{
if (size % 2 != 0 && i == size / 2 && i == j)
{
// Middle element of Even size
print("╳", terminator: "");
}
else if (j == i)
{
print("╲", terminator: "");
}
else if (size - 1 - i == j)
{
print("╱", terminator: "");
}
else
{
// Include star
print("*", terminator: "");
}
j += 1;
}
// Include new line
print(terminator: "\n");
i += 1;
}
}
}
func main()
{
let task = TrianglePattern();
/*
Example Size : 5
----------------
╲☀☀☀╱
☀╲☀╱☀
☀☀╳☀☀
☀╱☀╲☀
╱☀☀☀╲
----------------
*/
// Simple test
task.printPattern(5);
task.printPattern(7);
task.printPattern(10);
task.printPattern(3);
}
main();input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲/*
Kotlin Program
Print triangle separated pattern
*/
class TrianglePattern
{
fun printPattern(size: Int): Unit
{
if (size <= 2)
{
return;
}
print("\nSize : " + size + " \n\n");
// Loop controlling variables
var i: Int = 0;
var j: Int = 0;
// Loop, which is control the printing row operations
while (i < size)
{
// Loop, which is control the printing column operations
while (j < size)
{
if (size % 2 != 0 && i == size / 2 && i == j)
{
// Middle element of Even size
print("╳");
}
else if (j == i)
{
print("╲");
}
else if (size - 1 - i == j)
{
print("╱");
}
else
{
// Include star
print("*");
}
j += 1;
}
// Include new line
print("\n");
i += 1;
j = 0;
}
}
}
fun main(args: Array < String > ): Unit
{
val task: TrianglePattern = TrianglePattern();
/*
Example Size : 5
----------------
╲☀☀☀╱
☀╲☀╱☀
☀☀╳☀☀
☀╱☀╲☀
╱☀☀☀╲
----------------
*/
// Simple test
task.printPattern(5);
task.printPattern(7);
task.printPattern(10);
task.printPattern(3);
}input
Size : 5
╲***╱
*╲*╱*
**╳**
*╱*╲*
╱***╲
Size : 7
╲*****╱
*╲***╱*
**╲*╱**
***╳***
**╱*╲**
*╱***╲*
╱*****╲
Size : 10
╲********╱
*╲******╱*
**╲****╱**
***╲**╱***
****╲╱****
****╱╲****
***╱**╲***
**╱****╲**
*╱******╲*
╱********╲
Size : 3
╲*╱
*╳*
╱*╲The time complexity of the code is O(n^2), where n is the size of the pattern. This is because there are nested loops iterating over the rows and columns, resulting in a quadratic time complexity.
Finally, the code provided prints a triangle separated pattern of a given size. The pattern consists of asterisks and diagonal lines, with a central cross symbol for odd-sized patterns. The output showcases various pattern sizes and demonstrates the symmetrical nature of the pattern. The provided algorithm and pseudocode explain the logic behind the code, and the resultant output illustrates the expected patterns.
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