Problem: Today is birthday of a Little Dasha — she is now 8 years old! On this occasion, each of her n friends and relatives gave her a ribbon with a greeting written on it, and, as it turned out, all the greetings are different. Dasha gathered all the ribbons and decided to throw away some of them in order to make the remaining set stylish. The birthday girl considers a set of ribbons stylish if no greeting written on some ribbon is a substring of another greeting written on some other ribbon. Let us recall that the substring of the string s is a continuous segment of s.

Help Dasha to keep as many ribbons as possible, so that she could brag about them to all of her friends. Dasha cannot rotate or flip ribbons, that is, each greeting can be read in a single way given in the input.

Input

The first line of the input contains integer n (1 ≤ n ≤ 750) — the number of Dasha's relatives and friends.

Each of the next n lines contains exactly one greeting. Each greeting consists of characters 'a' and 'b' only.

The total length of all greetings won't exceed 10 000 000 characters.

Output

In the first line print the maximum size of the stylish set. In the second line print the numbers of ribbons involved in it, assuming that they are numbered from 1 to n in the order they appear in the input. If there are several stylish sets of the maximum size, print any of them.

Examples

Input

5
abab
aba
aabab
ababb
bab


Output

2
2 5

Note

In the sample, the answer that keeps ribbons 3 and 4 is also considered correct.

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.io.IOException;
import java.io.InputStream;

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

    static class TaskE {
        boolean[][] graph;
        int[] leftMatch;
        int[] rightMatch;
        boolean[] used;
        boolean[] leftUsed;
        boolean[] rightUsed;

        public void solve(int testNumber, InputReader in, PrintWriter out) {
            int n = in.nextInt();
            String[] ribbons = new String[n];

            AhoCorasick t = new AhoCorasick();
            for (int i = 0; i < n; ++i) {
                ribbons[i] = in.next();
                t.add(ribbons[i], i);
            }

            t.buildLinks();
            graph = new boolean[n][n];

            for (int i = 0; i < n; ++i) {
                int node = t.root();
                for (int j = 0; j < ribbons[i].length(); ++j) {
                    int c = ribbons[i].charAt(j) - 'a';
                    node = t.next(node, c);

                    int pnode = t.hasWord(node) ? node : t.nextWordFail(node);
                    while (pnode != -1 && !graph[i][t.ending(pnode)]) {
                        graph[i][t.ending(pnode)] = true;
                        pnode = t.nextWordFail(pnode);
                    }
                }
            }

            for (int i = 0; i < n; ++i)
                graph[i][i] = false;

            leftMatch = new int[n];
            rightMatch = new int[n];
            Arrays.fill(leftMatch, -1);
            Arrays.fill(rightMatch, -1);
            used = new boolean[n];
            for (boolean ok = true; ok; ) {
                ok = false;
                Arrays.fill(used, false);
                for (int i = 0; i < n; ++i)
                    if (leftMatch[i] == -1)
                        ok |= pairUp(i);
            }

            leftUsed = new boolean[n];
            rightUsed = new boolean[n];
            for (int i = 0; i < n; ++i)
                if (leftMatch[i] != -1)
                    leftUsed[i] = true;
            for (int i = 0; i < n; ++i)
                if (!leftUsed[i])
                    support(i);

            int count = 0;
            for (int i = 0; i < n; ++i)
                if (!leftUsed[i] && !rightUsed[i])
                    ++count;

            out.println(count);
            for (int i = 0; i < n; ++i)
                if (!leftUsed[i] && !rightUsed[i])
                    out.print((i + 1) + " ");
            out.println();
        }

        private boolean pairUp(int node) {
            if (used[node]) return false;
            used[node] = true;
            for (int i = 0; i < graph.length; ++i) {
                if (graph[node][i] && rightMatch[i] == -1) {
                    leftMatch[node] = i;
                    rightMatch[i] = node;
                    return true;
                }
            }
            for (int i = 0; i < graph.length; ++i) {
                if (graph[node][i] && pairUp(rightMatch[i])) {
                    leftMatch[node] = i;
                    rightMatch[i] = node;
                    return true;
                }
            }
            return false;
        }

        private void support(int node) {
            for (int i = 0; i < graph.length; ++i) {
                if (graph[node][i] && !rightUsed[i]) {
                    rightUsed[i] = true;
                    leftUsed[rightMatch[i]] = false;
                    support(rightMatch[i]);
                }
            }
        }

        private class AhoCorasick {
            private final int initialCapacity = 10_000_002;
            private int[] next0;
            private int[] next1;
            private int[] ending;
            private int[] fail;
            private int[] nextWordFail;
            private int nodes;
            private int capacity;
            private int root;

            AhoCorasick() {
                next0 = new int[initialCapacity];
                next1 = new int[initialCapacity];
                ending = new int[initialCapacity];
                fail = new int[initialCapacity];
                nextWordFail = new int[initialCapacity];
                nodes = 0;
                capacity = initialCapacity;
                root = newNode();
            }

            public void add(String word, int index) {
                int node = root;
                for (char c : word.toCharArray()) {
                    if (c == 'a') {
                        if (next0[node] == -1) next0[node] = newNode();
                        node = next0[node];
                    } else {
                        if (next1[node] == -1) next1[node] = newNode();
                        node = next1[node];
                    }
                }
                ending[node] = index;
            }

            private int newNode() {
                ensureCapacity(nodes + 1);
                next0[nodes] = next1[nodes] = -1;
                fail[nodes] = nextWordFail[nodes] = -1;
                ending[nodes] = -1;
                return nodes++;
            }

            private void ensureCapacity(int size) {
                if (capacity < size) {
                    capacity = 2 * capacity + 1;
                    next0 = resize(next0, capacity);
                    next1 = resize(next1, capacity);
                    ending = resize(ending, capacity);
                    fail = resize(fail, capacity);
                    nextWordFail = resize(nextWordFail, capacity);
                }
            }

            private int[] resize(int[] a, int newSize) {
                int[] b = new int[newSize];
                System.arraycopy(a, 0, b, 0, a.length);
                return b;
            }

            public void buildLinks() {
                int[] q = new int[nodes];
                q[0] = root;
                int left = 0, right = 1;

                fail[root] = root;
                while (left < right) {
                    int node = q[left++];

                    for (int i = 0; i < 2; ++i) {
                        int[] next = i == 0 ? next0 : next1;
                        if (next[node] != -1) {
                            int p = next[node], k = fail[node];
                            while (k != root && next[k] == -1) k = fail[k];
                            if (next[k] != -1 && k != node) k = next[k];
                            fail[p] = k;
                            q[right++] = p;
                        }
                    }
                }
                fail[root] = -1;

                for (int i = 1; i < right; ++i) {
                    int node = q[i];
                    if (ending[fail[node]] != -1)
                        nextWordFail[node] = fail[node];
                    else nextWordFail[node] = nextWordFail[fail[node]];
                }
            }

            public int root() {
                return root;
            }

            public int next(int node, int c) {
                return c == 0 ? next0[node] : next1[node];
            }

            public int nextWordFail(int node) {
                return nextWordFail[node];
            }

            public boolean hasWord(int node) {
                return ending[node] != -1;
            }

            public int ending(int node) {
                return ending[node];
            }

        }

    }

    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1)
                throw new UnknownError();
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new UnknownError();
                }
                if (numChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public String next() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuffer res = new StringBuffer();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isSpaceChar(c));

            return res.toString();
        }

        private boolean isSpaceChar(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

    }
}