From 0ef181c0ccb54c049b893dcd61777b9c459d6580 Mon Sep 17 00:00:00 2001
From: Bhavya M Modi <83846197+bhavyammodi@users.noreply.github.com>
Date: Fri, 22 Oct 2021 01:20:55 +0530
Subject: [PATCH] Create fermats_little_theorem.cpp

---
 Number Theory/fermats_little_theorem.cpp | 38 ++++++++++++++++++++++++
 1 file changed, 38 insertions(+)
 create mode 100644 Number Theory/fermats_little_theorem.cpp

diff --git a/Number Theory/fermats_little_theorem.cpp b/Number Theory/fermats_little_theorem.cpp
new file mode 100644
index 0000000..afa079a
--- /dev/null
+++ b/Number Theory/fermats_little_theorem.cpp	
@@ -0,0 +1,38 @@
+
+#include <bits/stdc++.h>
+#define ll long long int
+// Compute (A^B)%mod
+using namespace std;
+ll power(ll a, ll b, ll mod)
+{
+    if (b == 0)
+        return 1;
+    ll ans = power(a, b / 2, mod);
+    ans %= mod;
+    ans = (ans * ans) % mod;
+    if ((b & 1) == 1)
+        return (ans * a) % mod;
+    return ans % mod;
+}
+ll stoi(string a, ll mod)
+{
+    ll ans = 0;
+    for (size_t i = 0; i < a.length(); i++)
+        ans = ((ans * 10) % mod + a[i] - '0') % mod;
+    return ans;
+}
+int main()
+{
+    ll n, m, mod = 1000000007;
+    ll t;
+    cin >> t;
+    string a, b;
+    while (t--)
+    {
+        cin >> a >> b;
+        n = stoi(a, mod);
+        m = stoi(b, mod - 1); // using fermats little theorem
+        cout << power(n, m, mod) << endl;
+    }
+    return 0;
+}