LargestOfVeryLargeNumbers (TheAlgorithms#818)

* LargestOfVeryLargeNumbers

Finds the largest among two very large numbers of the form x^y. Numbers like 512^513 etc

* Rename LargestOfVeryLargeNumbers to LargestOfVeryLargeNumbers.py

* Input() statements have been indented.

input() statements are indented under if __name__ == "__main__":

* largest_of_very_large_numbers.py

Author: abhikmp

maths/largest_of_very_large_numbers.py

@@ -0,0 +1,35 @@
+# Author: Abhijeeth S
+
+import math
+
+
+def res(x, y):
+    if 0 not in (x, y):
+        # We use the relation x^y = y*log10(x), where 10 is the base.
+        return y * math.log10(x)
+    else:
+        if x == 0:  # 0 raised to any number is 0
+            return 0
+        elif y == 0:
+            return 1  # any number raised to 0 is 1
+
+
+if __name__ == "__main__":  # Main function
+    # Read two numbers from input and typecast them to int using map function.
+    # Here x is the base and y is the power.
+    prompt = "Enter the base and the power separated by a comma: "
+    x1, y1 = map(int, input(prompt).split(","))
+    x2, y2 = map(int, input(prompt).split(","))
+
+    # We find the log of each number, using the function res(), which takes two
+    # arguments.
+    res1 = res(x1, y1)
+    res2 = res(x2, y2)
+
+    # We check for the largest number
+    if res1 > res2:
+        print("Largest number is", x1, "^", y1)
+    elif res2 > res1:
+        print("Largest number is", x2, "^", y2)
+    else:
+        print("Both are equal")