From 1928ffdc8e2016adacdaec1f229652a32a579ec3 Mon Sep 17 00:00:00 2001
From: Ranadheer Senani Dasari <dasarirana660@gmail.com>
Date: Thu, 7 Oct 2021 19:05:40 +0530
Subject: [PATCH] added fast exponentiation

---
 fastexponentiation.cpp | 32 ++++++++++++++++++++++++++++++++
 1 file changed, 32 insertions(+)
 create mode 100644 fastexponentiation.cpp

diff --git a/fastexponentiation.cpp b/fastexponentiation.cpp
new file mode 100644
index 0000000..3201ee8
--- /dev/null
+++ b/fastexponentiation.cpp
@@ -0,0 +1,32 @@
+#include <iostream>
+using namespace std;
+
+int main()
+{
+    ios_base::sync_with_stdio(false);
+    cin.tie(NULL);
+    int t;
+    cin >> t;
+    unsigned long long a, b, c = 1e9 + 7, s, two = 2, one = 1;
+    while (t--)
+    {
+        s = 1;
+        cin >> a >> b;
+        a = a % c;
+        while (b > 0)
+        {
+            if (b % 2 == 0)
+            {
+                a = (a * a) % c;
+                b = b / two;
+            }
+            else
+            {
+                s = (s * a) % c;
+                b = b - one;
+            }
+        }
+        cout << s << endl;
+    }
+    return 0;
+}