Add Galois lab 1

Change-Id: I888fc143dba834e1d4575d4c5c2ed43a4008d5ba
diff --git a/quad9/galois/labs/lab1/utils/inverses.cc b/quad9/galois/labs/lab1/utils/inverses.cc
new file mode 100644
index 0000000..c54a019
--- /dev/null
+++ b/quad9/galois/labs/lab1/utils/inverses.cc
@@ -0,0 +1,13 @@
+#include <iostream>
+
+int main() {
+  int p = 43;
+  for (int i = 1; i < p; ++i) {
+    for (int j = 1; j < p; ++j) {
+      if ((i*j) % 43 == 1) {
+        std::cout << i << "^{-1} = " << j << std::endl;
+        break;
+      }
+    }
+  }
+}