Add OptimalFileMerging algorithm (#5805)

src/test/java/com/thealgorithms/greedyalgorithms/OptimalFileMergingTest.java

@@ -0,0 +1,22 @@
+package com.thealgorithms.greedyalgorithms;
+
+import static org.junit.jupiter.api.Assertions.assertEquals;
+
+import java.util.stream.Stream;
+import org.junit.jupiter.params.ParameterizedTest;
+import org.junit.jupiter.params.provider.Arguments;
+import org.junit.jupiter.params.provider.MethodSource;
+
+public class OptimalFileMergingTest {
+
+    @ParameterizedTest
+    @MethodSource("fileMergingProvider")
+    public void testMinMergeCost(int[] files, int expected) {
+        assertEquals(expected, OptimalFileMerging.minMergeCost(files));
+    }
+
+    private static Stream<Arguments> fileMergingProvider() {
+        return Stream.of(Arguments.of(new int[] {4, 3, 2, 6}, 29), Arguments.of(new int[] {5}, 0), Arguments.of(new int[] {2, 2, 2}, 10), Arguments.of(new int[] {10, 5, 3, 2}, 35), Arguments.of(new int[] {1, 1, 1, 1}, 8), Arguments.of(new int[] {1, 2, 3, 4, 5}, 33),
+            Arguments.of(new int[] {1, 2, 3, 4, 5, 6}, 51), Arguments.of(new int[] {1, 2, 3, 4, 5, 6, 7}, 74), Arguments.of(new int[] {1, 2, 3, 4, 5, 6, 7, 8}, 102), Arguments.of(new int[] {1, 2, 3, 4, 5, 6, 7, 8, 9}, 135));
+    }
+}