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add Pascal's Triangle Algorithm

Others/Pascal_Triangle.cpp

@@ -0,0 +1,52 @@
+#include<iostream>
+
+using namespace std;
+
+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));
+	}
+
+	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];
+		}
+	}
+
+	//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;
+	}
+	
+	//deallocation
+	for (int i = 0; i < n; ++i)
+	{
+		delete[] arr[i];
+	}
+	delete [] arr;
+
+	return 0;
+}