Problem: Ivan wants to write a letter to his friend. The letter is a string s consisting of lowercase Latin letters.

Unfortunately, when Ivan started writing the letter, he realised that it is very long and writing the whole letter may take extremely long time. So he wants to write the compressed version of string s instead of the string itself.

The compressed version of string s is a sequence of strings c1, s1, c2, s2, ..., ck, sk, where ci is the decimal representation of number ai (without any leading zeroes) and si is some string consisting of lowercase Latin letters. If Ivan writes string s1 exactly a1 times, then string s2 exactly a2 times, and so on, the result will be string s.

The length of a compressed version is |c1| + |s1| + |c2| + |s2|... |ck| + |sk|. Among all compressed versions Ivan wants to choose a version such that its length is minimum possible. Help Ivan to determine minimum possible length.

Input

The only line of input contains one string s consisting of lowercase Latin letters (1 ≤ |s| ≤ 8000).

Output

Output one integer number — the minimum possible length of a compressed version of s.

Examples

Input

aaaaaaaaaa


Output

3


Input

abcab


Output

6


Input

cczabababab


Output

7

Note

In the first example Ivan will choose this compressed version: c1 is 10, s1 is a.

In the second example Ivan will choose this compressed version: c1 is 1, s1 is abcab.

In the third example Ivan will choose this compressed version: c1 is 2, s1 is c, c2 is 1, s2 is z, c3 is 4, s3 is ab.

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.OutputStream;
import java.util.Arrays;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.FileNotFoundException;
import java.io.File;
import java.util.ArrayList;
import java.util.List;
import java.util.StringTokenizer;
import java.io.Writer;
import java.io.BufferedReader;
import java.io.UnsupportedEncodingException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author kvark161
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        TaskF solver = new TaskF();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskF {
        public void solve(int testNumber, InputReader in, OutputWriter out) {
            String s = in.nextString();
            int n = s.length();
            List<int[]> prefixFunctions = new ArrayList<>();
            for (int i = 0; i < n; ++i) {
                prefixFunctions.add(StringsAlgo.prefixFunction(s.substring(i)));
            }
            int[] dp = new int[n + 1];
            Arrays.fill(dp, Integer.MAX_VALUE);
            dp[0] = 0;
            for (int i = 0; i < n; i++) {
                for (int j = i; j < n; ++j) {
                    int len = j - i + 1;
                    int k = len - prefixFunctions.get(i)[len - 1];
                    if (k > 0 && len % k == 0) {
                        int cost = log10(len / k) + k;
                        dp[i + len] = Math.min(dp[i + len], dp[i] + cost);
                    } else {
                        dp[i + len] = Math.min(dp[i + len], dp[i] + len + 1);
                    }
                }
            }
            out.print(dp[n]);
        }

        private int log10(int n) {
            int res = 0;
            while (n > 0) {
                ++res;
                n /= 10;
            }
            return res;
        }

    }

    static class InputReader {
        private final BufferedReader reader;
        private StringTokenizer tokenizer;

        public InputReader(InputStream inputStream) {
            reader = new BufferedReader(new InputStreamReader(inputStream));
        }

        private String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return tokenizer.nextToken();
        }

        public String nextString() {
            return next();
        }

    }

    static class OutputWriter extends PrintWriter {
        public OutputWriter(Writer out) {
            super(out);
        }

        public OutputWriter(Writer out, boolean autoFlush) {
            super(out, autoFlush);
        }

        public OutputWriter(OutputStream out) {
            super(out);
        }

        public OutputWriter(OutputStream out, boolean autoFlush) {
            super(out, autoFlush);
        }

        public OutputWriter(String fileName) throws FileNotFoundException {
            super(fileName);
        }

        public OutputWriter(String fileName, String csn) throws FileNotFoundException, UnsupportedEncodingException {
            super(fileName, csn);
        }

        public OutputWriter(File file) throws FileNotFoundException {
            super(file);
        }

        public OutputWriter(File file, String csn) throws FileNotFoundException, UnsupportedEncodingException {
            super(file, csn);
        }

    }

    static class StringsAlgo {
        public static int[] prefixFunction(String s) {
            int n = s.length();
            int[] pi = new int[n];
            for (int i = 1; i < n; ++i) {
                int j = pi[i - 1];
                while (j > 0 && s.charAt(j) != s.charAt(i)) {
                    j = pi[j - 1];
                }
                if (s.charAt(j) == s.charAt(i)) {
                    ++j;
                }
                pi[i] = j;
            }
            return pi;
        }

    }
}