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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Pascals-triangle-Puzzle/C-sharp/pascals-triangle-puzzle.cs Normal file
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using System;
namespace Pyramid_of_Numbers
{
class Program
{
public static void Main(string[] args)
{
// Set console properties
Console.Title = " Pyramid of Numbers / Pascal's triangle Puzzle";
Console.SetBufferSize(80,1000);
Console.SetWindowSize(80,60);
Console.ForegroundColor = ConsoleColor.Green;
// Main Program Loop
ConsoleKeyInfo k = new ConsoleKeyInfo('Y', ConsoleKey.Y,true,true,true);
while (k.Key == ConsoleKey.Y)
{
Console.Clear();
Console.WriteLine("----------------------------------------------");
Console.WriteLine(" Pyramid of Numbers / Pascal's triangle Puzzle");
Console.WriteLine("----------------------------------------------");
Console.WriteLine();
//
// Declare new Pyramid array
//
int r = 5;// Number of rows
int [,] Pyramid = new int[r,r];
// Set initial Pyramid values
for (int i = 0; i < r; i++)
{
for(int j = 0; j < r; j++)
{
Pyramid[i,j] = 0;
}
}
// Show info on created array
Console.WriteLine(" Pyramid has " + r + " rows");
Console.WriteLine("--------------------------------------------");
// Enter Pyramid values
for(int i = 0; i <= r-1; i++)
{
Console.WriteLine(" Enter " + (i+1).ToString() + ". row values:");
Console.WriteLine("--------------------------------------------");
for(int j = 0; j < i+1; j++)
{
Console.Write(" " + (j+1).ToString() + ". value = ");
int v = int.Parse(Console.ReadLine());
Pyramid[i,j] = v;
}
Console.WriteLine("--------------------------------------------");
}
//
// Show initial Pyramid values
//
Console.WriteLine();
Console.WriteLine(" Initial Pyramid Values ");
Console.WriteLine();
// Show Pyramid values
for(int i = 0; i <= r-1; i++)
{
for(int j = 0; j < i+1; j++)
{
Console.Write("{0,4}",Pyramid[i,j]);
}
Console.WriteLine();
}
Console.WriteLine("--------------------------------------------");
// Find solution
Solve_Pyramid(Pyramid);
Console.WriteLine();
Console.Write(" Start new calculation <Y/N> . . . ");
k = Console.ReadKey(true);
}
}
//
// Solve Function
//
public static void Solve_Pyramid(int [,] Pyramid)
{
int r = 5; // Number of rows
// Calculate Y
int a = Pyramid[r-1,1];
int b = Pyramid[r-1,3];
int c = Pyramid[0,0];
int y = (c - (4*a) - (4*b))/7;
Pyramid[r-1,2] = y;
// Create copy of Pyramid
int [,] Pyramid_Copy = new int[r,r];
Array.Copy(Pyramid,Pyramid_Copy,r*r);
int n = 0; // solution counter
for(int x = 0; x < y + 1; x++)
{
for(int z = 0; z < y + 1; z++)
{
if( (x+z) == y)
{
Pyramid[r-1,0] = x;
Pyramid[r-1,r-1] = z;
// Recalculate Pyramid values
for(int i = r-1; i > 0; i--)
{
for(int j = 0; j < i; j++)
{
Pyramid[i-1,j] = Pyramid[i,j]+Pyramid[i,j+1];
}
}
// Compare Pyramid values
bool solved = true;
for(int i = 0; i < r-1; i++)
{
for(int j = 0; j < i+1; j++)
{
if(Pyramid_Copy[i,j]>0)
{
if(Pyramid[i,j] != Pyramid_Copy[i,j])
{
solved = false;
i = r;
break;
}
}
}
}
if(solved)
{
n++;
Console.WriteLine();
Console.WriteLine(" Solved Pyramid Values no." + n);
Console.WriteLine();
// Show Pyramid values
for(int i = 0; i <= r-1; i++)
{
for(int j = 0; j < i+1; j++)
{
Console.Write("{0,4}",Pyramid[i,j]);
}
Console.WriteLine();
}
Console.WriteLine();
Console.WriteLine(" X = " + Pyramid[r-1,0] + " " +
" Y = " + Pyramid[r-1,2] + " " +
" Z = " + Pyramid[r-1,4]);
Console.WriteLine();
Console.WriteLine("--------------------------------------------");
}
Array.Copy(Pyramid_Copy,Pyramid,r*r);
}
}
}
if(n == 0)
{
Console.WriteLine();
Console.WriteLine(" Pyramid has no solution ");
Console.WriteLine();
}
}
}
}