Initial data commit

Task/Pascal-matrix-generation/Python/pascal-matrix-generation-1.py

@@ -0,0 +1,30 @@
+from pprint import pprint as pp
+
+def pascal_upp(n):
+    s = [[0] * n for _ in range(n)]
+    s[0] = [1] * n
+    for i in range(1, n):
+        for j in range(i, n):
+            s[i][j] = s[i-1][j-1] + s[i][j-1]
+    return s
+
+def pascal_low(n):
+    # transpose of pascal_upp(n)
+    return [list(x) for x in zip(*pascal_upp(n))]
+
+def pascal_sym(n):
+    s = [[1] * n for _ in range(n)]
+    for i in range(1, n):
+        for j in range(1, n):
+            s[i][j] = s[i-1][j] + s[i][j-1]
+    return s
+
+
+if __name__ == "__main__":
+    n = 5
+    print("\nUpper:")
+    pp(pascal_upp(n))
+    print("\nLower:")
+    pp(pascal_low(n))
+    print("\nSymmetric:")
+    pp(pascal_sym(n))