Initial data commit

Task/Shortest-common-supersequence/C-sharp/shortest-common-supersequence.cs

@@ -0,0 +1,34 @@
+public class ShortestCommonSupersequence
+{
+    Dictionary<(string, string), string> cache = new();
+
+    public string scs(string x, string y)
+    {
+        if (x.Length == 0) return y;
+        if (y.Length == 0) return x;
+
+        if (cache.TryGetValue((x, y), out var result)) return result;
+
+        if (x[0] == y[0])
+        {
+            return cache[(x, y)] = x[0] + scs(x.Substring(1), y.Substring(1));
+        }
+
+        var xr = scs(x.Substring(1), y);
+        var yr = scs(x, y.Substring(1));
+        if (yr.Length <= xr.Length)
+        {
+            return cache[(x, y)] = y[0] + yr;
+        }
+        else
+        {
+            return cache[(x, y)] = x[0] + xr;
+        }
+    }
+
+    public static void Main(string[] args)
+    {
+        var scs = new ShortestCommonSupersequence();
+        Console.WriteLine(scs.scs("abcbdab", "bdcaba"));
+    }
+}