Add Conway Sequence (#3807)

Co-authored-by: Bruno Eloi <bruno.eloi@minfin.fed.be>
Co-authored-by: Andrii Siriak <siryaka@gmail.com>

src/main/java/com/thealgorithms/others/Conway.java

@@ -0,0 +1,36 @@
+package com.thealgorithms.others;
+
+import java.util.*;
+
+public class Conway {
+
+    /*
+     * This class will generate the conway sequence also known as the look and say sequence.
+     * To generate a member of the sequence from the previous member, read off the digits of the previous member, counting the number of digits in groups of the same digit. For example:
+     *1 is read off as "one 1" or 11.
+     *11 is read off as "two 1s" or 21.
+     *21 is read off as "one 2, one 1" or 1211.
+     *1211 is read off as "one 1, one 2, two 1s" or 111221.
+     *111221 is read off as "three 1s, two 2s, one 1" or 312211.
+     * https://en.wikipedia.org/wiki/Look-and-say_sequence
+     * */
+
+    private static final StringBuilder builder = new StringBuilder();
+
+    protected static List<String> generateList(String originalString, int maxIteration) {
+        List<String> numbers = new ArrayList<>();
+        for(int i=0; i<maxIteration; i++) {
+            originalString = generateNextElement(originalString);
+            numbers.add(originalString);
+        }
+        return numbers;
+    }
+
+
+    public static String generateNextElement(String originalString) {
+        builder.setLength(0);
+        String[] stp = originalString.split("(?<=(.))(?!\\1)");
+        Arrays.stream(stp).forEach(s -> builder.append(s.length()).append(s.charAt(0)));
+        return builder.toString();
+    }
+}