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filename

pascal_triangle.cpp

#include<iostream>

using namespace std;

void show_pascal(int **arr, int n)

{

//pint Pascal's Triangle

for (int i = 0; i < n; ++i)

{

for (int j = 0; j < n + i; ++j)

{

if (arr[i][j] == 0)

cout << " ";

else

cout << arr[i][j];

}

cout << endl;

}

}

int **pascal_triangle(int **arr, int n)

{

for (int i = 0; i < n; ++i)

{

for (int j = n - i - 1; j < n + i; ++j)

{

if (j == n - i - 1 || j == n + i - 1)

arr[i][j] = 1; //The edge of the Pascal triangle goes in 1

else

arr[i][j] = arr[i - 1][j - 1] + arr[i - 1][j + 1];

}

}

return arr;

}

int main()

{

int n = 0;

cout << "Set Pascal's Triangle Height" << endl;

cin >> n;

//memory allocation (Assign two-dimensional array to store Pascal triangle)

int **arr = new int*[n];

for (int i = 0; i < n; ++i)

{

arr[i] = new int[2 * n - 1];

memset(arr[i], 0, sizeof(int)*(2 * n - 1));

}

pascal_triangle(arr, n);

show_pascal(arr, n);

//deallocation

for (int i = 0; i < n; ++i)

{

delete[] arr[i];

}

delete[] arr;

return 0;

}