Problem: Little Timofey has a big tree — an undirected connected graph with n vertices and no simple cycles. He likes to walk along it. His tree is flat so when he walks along it he sees it entirely. Quite naturally, when he stands on a vertex, he sees the tree as a rooted tree with the root in this vertex.

Timofey assumes that the more non-isomorphic subtrees are there in the tree, the more beautiful the tree is. A subtree of a vertex is a subgraph containing this vertex and all its descendants. You should tell Timofey the vertex in which he should stand to see the most beautiful rooted tree.

Subtrees of vertices u and v are isomorphic if the number of children of u equals the number of children of v, and their children can be arranged in such a way that the subtree of the first son of u is isomorphic to the subtree of the first son of v, the subtree of the second son of u is isomorphic to the subtree of the second son of v, and so on. In particular, subtrees consisting of single vertex are isomorphic to each other.

Input

First line contains single integer n (1 ≤ n ≤ 105) — number of vertices in the tree.

Each of the next n - 1 lines contains two integers ui and vi (1 ≤ ui, vi ≤ 105, ui ≠ vi), denoting the vertices the i-th edge connects.

It is guaranteed that the given graph is a tree.

Output

Print single integer — the index of the vertex in which Timofey should stand. If there are many answers, you can print any of them.

Examples

Input

3
1 2
2 3


Output

1


Input

7
1 2
4 2
2 3
5 6
6 7
3 7


Output

1


Input

10
1 7
1 8
9 4
5 1
9 2
3 5
10 6
10 9
5 10


Output

2

Note

In the first example we can stand in the vertex 1 or in the vertex 3 so that every subtree is non-isomorphic. If we stand in the vertex 2, then subtrees of vertices 1 and 3 are isomorphic.

In the second example, if we stand in the vertex 1, then only subtrees of vertices 4 and 5 are isomorphic.

In the third example, if we stand in the vertex 1, then subtrees of vertices 2, 3, 4, 6, 7 and 8 are isomorphic. If we stand in the vertex 2, than only subtrees of vertices 3, 4, 6, 7 and 8 are isomorphic. If we stand in the vertex 5, then subtrees of vertices 2, 3, 4, 6, 7 and 8 are isomorphic, and subtrees of vertices 1 and 9 are isomorphic as well: 
    
    
      
      1     9  
     /\    /\  
    7  8  4  2  
    

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.HashMap;
import java.io.OutputStreamWriter;
import java.util.NoSuchElementException;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.Iterator;
import java.io.BufferedWriter;
import java.io.IOException;
import java.io.Writer;
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);
        OutputWriter out = new OutputWriter(outputStream);
        TaskD solver = new TaskD();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskD {
        final long base = 179;
        final int maxn = (int) (1e5 + 5);
        final long[] pow = IntegerUtils.generatePowers(base, maxn + 1, Long.MAX_VALUE);
        int n;
        BidirectionalGraph graph;
        int[] sizeSubTree;
        long[] hash;
        Counter<Long> allHashs;
        int answer;
        int answerRoot;

        private void dfs(final int v, final int p) {
            if (answer < allHashs.size() || answer == allHashs.size() && answerRoot > v) {
                answer = allHashs.size();
                answerRoot = v;
            }

            IntArrayList orderIdRids = new IntArrayList();
            for (int i = graph.firstOutbound(v); i != -1; i = graph.nextOutbound(i)) {
                orderIdRids.add(i);
            }
            Sorter.sort(orderIdRids, (i, j) -> Long.compare(hash[graph.destination(i)], hash[graph.destination(j)]));
            long[] suf = new long[orderIdRids.size() + 1];
            suf[orderIdRids.size()] = ')';
            for (int i = orderIdRids.size() - 1; i >= 0; i--) {
                int to = graph.destination(orderIdRids.get(i));
                suf[i] = hash[to] + suf[i + 1] * pow[sizeSubTree[to]];
            }

            long pref = '(';
            int sizePref = 1;
            for (int i = 0; i < orderIdRids.size(); i++) {
                int to = graph.destination(orderIdRids.get(i));
                if (to != p) {
                    long oldHashV = hash[v];
                    long newHashV = pref + suf[i + 1] * pow[sizePref];
                    allHashs.add(oldHashV, -1);
                    allHashs.add(newHashV, 1);
                    hash[v] = newHashV;
                    sizeSubTree[v] = n - sizeSubTree[to];

                    long oldHashTo = hash[to];
                    int oldSizeSubTreeTo = sizeSubTree[to];
                    initHashAndSizeForRoot(to, -1);
                    long newHashTo = hash[to];
                    allHashs.add(oldHashTo, -1);
                    allHashs.add(newHashTo, 1);
                    hash[to] = newHashTo;

                    dfs(to, v);

                    allHashs.add(oldHashV, 1);
                    allHashs.add(newHashV, -1);
                    hash[v] = oldHashV;
                    sizeSubTree[v] = n;

                    allHashs.add(oldHashTo, 1);
                    allHashs.add(newHashTo, -1);
                    hash[to] = oldHashTo;
                    sizeSubTree[to] = oldSizeSubTreeTo;
                }
                pref += hash[to] * pow[sizePref];
                sizePref += sizeSubTree[to];
            }
        }

        private void initHashAndSizeForRoot(int v, int p) {
            IntArrayList orderEdge = new IntArrayList();
            sizeSubTree[v] = 1;
            for (int i = graph.firstOutbound(v); i != -1; i = graph.nextOutbound(i)) {
                int to = graph.destination(i);
                if (to == p) {
                    continue;
                }
                orderEdge.add(i);
                sizeSubTree[v] += sizeSubTree[to];
            }
            Sorter.sort(orderEdge, (i, j) -> Long.compare(hash[graph.destination(i)], hash[graph.destination(j)]));
            hash[v] = '(';
            int size = 1;
            for (int i = 0; i < orderEdge.size(); i++) {
                int to = graph.destination(orderEdge.get(i));
                hash[v] += hash[to] * pow[size];
                size += sizeSubTree[to];
            }
            hash[v] += ')' * pow[size];
        }

        private void initHash(int v, int p) {
            for (int i = graph.firstOutbound(v); i != -1; i = graph.nextOutbound(i)) {
                int to = graph.destination(i);
                if (to == p) {
                    continue;
                }
                initHash(to, v);
            }
            initHashAndSizeForRoot(v, p);
            allHashs.add(hash[v], 1);
        }

        public void solve(int testNumber, InputReader in, OutputWriter out) {
//        out.printLine(getHashStr("()"));
//        out.printLine(getHashStr("(())"));
//        out.printLine(getHashStr("((()))"));
//        out.printLine(getHashStr("(()())"));

            n = in.readInt();
            graph = new BidirectionalGraph(n, n - 1);
            for (int i = 0; i < n - 1; i++) {
                int a = in.readInt() - 1;
                int b = in.readInt() - 1;
                graph.addSimpleEdge(a, b);
            }

            answer = -1;
            answerRoot = -1;
            hash = new long[n];
            sizeSubTree = new int[n];
            allHashs = new Counter<>(n + 5);
            int root = (11392) % n;
            initHash(root, -1);
            dfs(root, -1);
            out.printLine(answerRoot + 1);
        }

    }

    static interface IntReversableCollection extends IntCollection {
    }

    static class BidirectionalGraph extends Graph {
        public int[] transposedEdge;

        public BidirectionalGraph(int vertexCount) {
            this(vertexCount, vertexCount);
        }

        public BidirectionalGraph(int vertexCount, int edgeCapacity) {
            super(vertexCount, 2 * edgeCapacity);
            transposedEdge = new int[2 * edgeCapacity];
        }


        public int addEdge(int fromID, int toID, long weight, long capacity, int reverseEdge) {
            int lastEdgeCount = edgeCount;
            super.addEdge(fromID, toID, weight, capacity, reverseEdge);
            super.addEdge(toID, fromID, weight, capacity, (reverseEdge == -1) ? -1 : (reverseEdge + 1));
            this.transposedEdge[lastEdgeCount] = lastEdgeCount + 1;
            this.transposedEdge[lastEdgeCount + 1] = lastEdgeCount;
            return lastEdgeCount;
        }


        protected int entriesPerEdge() {
            return 2;
        }


        protected void ensureEdgeCapacity(int size) {
            if (size > edgeCapacity()) {
                super.ensureEdgeCapacity(size);
                transposedEdge = resize(transposedEdge, edgeCapacity());
            }
        }

    }

    static abstract class IntAbstractStream implements IntStream {

        public String toString() {
            StringBuilder builder = new StringBuilder();
            boolean first = true;
            for (IntIterator it = intIterator(); it.isValid(); it.advance()) {
                if (first) {
                    first = false;
                } else {
                    builder.append(' ');
                }
                builder.append(it.value());
            }
            return builder.toString();
        }


        public boolean equals(Object o) {
            if (!(o instanceof IntStream)) {
                return false;
            }
            IntStream c = (IntStream) o;
            IntIterator it = intIterator();
            IntIterator jt = c.intIterator();
            while (it.isValid() && jt.isValid()) {
                if (it.value() != jt.value()) {
                    return false;
                }
                it.advance();
                jt.advance();
            }
            return !it.isValid() && !jt.isValid();
        }


        public int hashCode() {
            int result = 0;
            for (IntIterator it = intIterator(); it.isValid(); it.advance()) {
                result *= 31;
                result += it.value();
            }
            return result;
        }

    }

    static interface IntStream extends Iterable<Integer>, Comparable<IntStream> {
        public IntIterator intIterator();

        default public Iterator<Integer> iterator() {
            return new Iterator<Integer>() {
                private IntIterator it = intIterator();

                public boolean hasNext() {
                    return it.isValid();
                }

                public Integer next() {
                    int result = it.value();
                    it.advance();
                    return result;
                }
            };
        }

        default public int compareTo(IntStream c) {
            IntIterator it = intIterator();
            IntIterator jt = c.intIterator();
            while (it.isValid() && jt.isValid()) {
                int i = it.value();
                int j = jt.value();
                if (i < j) {
                    return -1;
                } else if (i > j) {
                    return 1;
                }
                it.advance();
                jt.advance();
            }
            if (it.isValid()) {
                return 1;
            }
            if (jt.isValid()) {
                return -1;
            }
            return 0;
        }

    }

    static interface Edge {
    }

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

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

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

        public int readInt() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if ((c < '0') || (c > '9')) {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public boolean isSpaceChar(int c) {
            if (filter != null) {
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

        public static boolean isWhitespace(int c) {
            return (c == ' ') || (c == '\n') || (c == '\r') || (c == '\t') || (c == -1);
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);

        }

    }

    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void close() {
            writer.close();
        }

        public void printLine(int i) {
            writer.println(i);
        }

    }

    static interface IntIterator {
        public int value() throws NoSuchElementException;

        public boolean advance();

        public boolean isValid();

    }

    static interface IntCollection extends IntStream {
        public int size();

        default public void add(int value) {
            throw new UnsupportedOperationException();
        }

        default public IntCollection addAll(IntStream values) {
            for (IntIterator it = values.intIterator(); it.isValid(); it.advance()) {
                add(it.value());
            }
            return this;
        }

    }

    static class IntegerUtils {
        public static long[] generatePowers(long base, int count, long mod) {
            long[] result = new long[count];
            if (count != 0) {
                result[0] = 1 % mod;
            }
            for (int i = 1; i < count; i++) {
                result[i] = (result[i - 1] * base) % mod;
            }
            return result;
        }

    }

    static class IntArrayList extends IntAbstractStream implements IntList {
        private int size;
        private int[] data;

        public IntArrayList() {
            this(3);
        }

        public IntArrayList(int capacity) {
            data = new int[capacity];
        }

        public IntArrayList(IntCollection c) {
            this(c.size());
            addAll(c);
        }

        public IntArrayList(IntStream c) {
            this();
            if (c instanceof IntCollection) {
                ensureCapacity(((IntCollection) c).size());
            }
            addAll(c);
        }

        public IntArrayList(IntArrayList c) {
            size = c.size();
            data = c.data.clone();
        }

        public IntArrayList(int[] arr) {
            size = arr.length;
            data = arr.clone();
        }

        public int size() {
            return size;
        }

        public int get(int at) {
            if (at >= size) {
                throw new IndexOutOfBoundsException("at = " + at + ", size = " + size);
            }
            return data[at];
        }

        private void ensureCapacity(int capacity) {
            if (data.length >= capacity) {
                return;
            }
            capacity = Math.max(2 * data.length, capacity);
            data = Arrays.copyOf(data, capacity);
        }

        public void addAt(int index, int value) {
            ensureCapacity(size + 1);
            if ((index > size) || (index < 0)) {
                throw new IndexOutOfBoundsException("at = " + index + ", size = " + size);
            }
            if (index != size) {
                System.arraycopy(data, index, data, index + 1, size - index);
            }
            data[index] = value;
            size++;
        }

        public void removeAt(int index) {
            if ((index >= size) || (index < 0)) {
                throw new IndexOutOfBoundsException("at = " + index + ", size = " + size);
            }
            if (index != (size - 1)) {
                System.arraycopy(data, index + 1, data, index, size - index - 1);
            }
            size--;
        }

        public void set(int index, int value) {
            if (index >= size) {
                throw new IndexOutOfBoundsException("at = " + index + ", size = " + size);
            }
            data[index] = value;
        }

    }

    static interface IntComparator {
        public int compare(int first, int second);

    }

    static class Sorter {
        private static final int INSERTION_THRESHOLD = 16;

        private Sorter() {
        }

        public static void sort(IntList list, IntComparator comparator) {
            quickSort(list, 0, list.size() - 1, (Integer.bitCount(Integer.highestOneBit(list.size()) - 1) * 5) >> 1,
                    comparator);
        }

        private static void quickSort(IntList list, int from, int to, int remaining, IntComparator comparator) {
            if ((to - from) < INSERTION_THRESHOLD) {
                insertionSort(list, from, to, comparator);
                return;
            }
            if (remaining == 0) {
                heapSort(list, from, to, comparator);
                return;
            }
            remaining--;
            int pivotIndex = (from + to) >> 1;
            int pivot = list.get(pivotIndex);
            list.swap(pivotIndex, to);
            int storeIndex = from;
            int equalIndex = to;
            for (int i = from; i < equalIndex; i++) {
                int value = comparator.compare(list.get(i), pivot);
                if (value < 0) {
                    list.swap(storeIndex++, i);
                } else if (value == 0) {
                    list.swap(--equalIndex, i--);
                }
            }
            quickSort(list, from, storeIndex - 1, remaining, comparator);
            for (int i = equalIndex; i <= to; i++) {
                list.swap(storeIndex++, i);
            }
            quickSort(list, storeIndex, to, remaining, comparator);
        }

        private static void heapSort(IntList list, int from, int to, IntComparator comparator) {
            for (int i = ((to + from) - 1) >> 1; i >= from; i--) {
                siftDown(list, i, to, comparator, from);
            }
            for (int i = to; i > from; i--) {
                list.swap(from, i);
                siftDown(list, from, i - 1, comparator, from);
            }
        }

        private static void siftDown(IntList list, int start, int end, IntComparator comparator, int delta) {
            int value = list.get(start);
            while (true) {
                int child = ((start - delta) << 1) + 1 + delta;
                if (child > end) {
                    return;
                }
                int childValue = list.get(child);
                if ((child + 1) <= end) {
                    int otherValue = list.get(child + 1);
                    if (comparator.compare(otherValue, childValue) > 0) {
                        child++;
                        childValue = otherValue;
                    }
                }
                if (comparator.compare(value, childValue) >= 0) {
                    return;
                }
                list.swap(start, child);
                start = child;
            }
        }

        private static void insertionSort(IntList list, int from, int to, IntComparator comparator) {
            for (int i = from + 1; i <= to; i++) {
                int value = list.get(i);
                for (int j = i - 1; j >= from; j--) {
                    if (comparator.compare(list.get(j), value) <= 0) {
                        break;
                    }
                    list.swap(j, j + 1);
                }
            }
        }

    }

    static class Counter<K> extends HashMap<K, Long> {
        public Counter() {
            super();
        }

        public Counter(int capacity) {
            super(capacity);
        }

        public void add(K key, long delta) {
            put(key, get(key) + delta);
            if (get(key) == 0) {
                remove(key);
            }
        }


        public Long get(Object key) {
            if (containsKey(key)) {
                return super.get(key);
            }
            return 0L;
        }

    }

    static interface IntList extends IntReversableCollection {
        public abstract int get(int index);

        public abstract void set(int index, int value);

        public abstract void addAt(int index, int value);

        public abstract void removeAt(int index);

        default public void swap(int first, int second) {
            if (first == second) {
                return;
            }
            int temp = get(first);
            set(first, get(second));
            set(second, temp);
        }

        default public IntIterator intIterator() {
            return new IntIterator() {
                private int at;
                private boolean removed;

                public int value() {
                    if (removed) {
                        throw new IllegalStateException();
                    }
                    return get(at);
                }

                public boolean advance() {
                    at++;
                    removed = false;
                    return isValid();
                }

                public boolean isValid() {
                    return !removed && (at < size());
                }

                public void remove() {
                    removeAt(at);
                    at--;
                    removed = true;
                }
            };
        }


        default public void add(int value) {
            addAt(size(), value);
        }

    }

    static class Graph {
        public static final int REMOVED_BIT = 0;
        protected int vertexCount;
        protected int edgeCount;
        private int[] firstOutbound;
        private int[] firstInbound;
        private Edge[] edges;
        private int[] nextInbound;
        private int[] nextOutbound;
        private int[] from;
        private int[] to;
        public long[] weight;
        public long[] capacity;
        private int[] reverseEdge;
        private int[] flags;

        public Graph(int vertexCount) {
            this(vertexCount, vertexCount);
        }

        public Graph(int vertexCount, int edgeCapacity) {
            this.vertexCount = vertexCount;
            firstOutbound = new int[vertexCount];
            Arrays.fill(firstOutbound, -1);

            from = new int[edgeCapacity];
            to = new int[edgeCapacity];
            nextOutbound = new int[edgeCapacity];
            flags = new int[edgeCapacity];
        }

        public int addEdge(int fromID, int toID, long weight, long capacity, int reverseEdge) {
            ensureEdgeCapacity(edgeCount + 1);
            if (firstOutbound[fromID] != -1) {
                nextOutbound[edgeCount] = firstOutbound[fromID];
            } else {
                nextOutbound[edgeCount] = -1;
            }
            firstOutbound[fromID] = edgeCount;
            if (firstInbound != null) {
                if (firstInbound[toID] != -1) {
                    nextInbound[edgeCount] = firstInbound[toID];
                } else {
                    nextInbound[edgeCount] = -1;
                }
                firstInbound[toID] = edgeCount;
            }
            this.from[edgeCount] = fromID;
            this.to[edgeCount] = toID;
            if (capacity != 0) {
                if (this.capacity == null) {
                    this.capacity = new long[from.length];
                }
                this.capacity[edgeCount] = capacity;
            }
            if (weight != 0) {
                if (this.weight == null) {
                    this.weight = new long[from.length];
                }
                this.weight[edgeCount] = weight;
            }
            if (reverseEdge != -1) {
                if (this.reverseEdge == null) {
                    this.reverseEdge = new int[from.length];
                    Arrays.fill(this.reverseEdge, 0, edgeCount, -1);
                }
                this.reverseEdge[edgeCount] = reverseEdge;
            }
            if (edges != null) {
                edges[edgeCount] = createEdge(edgeCount);
            }
            return edgeCount++;
        }

        protected final GraphEdge createEdge(int id) {
            return new GraphEdge(id);
        }

        public final int addFlowWeightedEdge(int from, int to, long weight, long capacity) {
            if (capacity == 0) {
                return addEdge(from, to, weight, 0, -1);
            } else {
                int lastEdgeCount = edgeCount;
                addEdge(to, from, -weight, 0, lastEdgeCount + entriesPerEdge());
                return addEdge(from, to, weight, capacity, lastEdgeCount);
            }
        }

        protected int entriesPerEdge() {
            return 1;
        }

        public final int addWeightedEdge(int from, int to, long weight) {
            return addFlowWeightedEdge(from, to, weight, 0);
        }

        public final int addSimpleEdge(int from, int to) {
            return addWeightedEdge(from, to, 0);
        }

        protected final int edgeCapacity() {
            return from.length;
        }

        public final int firstOutbound(int vertex) {
            int id = firstOutbound[vertex];
            while ((id != -1) && isRemoved(id)) {
                id = nextOutbound[id];
            }
            return id;
        }

        public final int nextOutbound(int id) {
            id = nextOutbound[id];
            while ((id != -1) && isRemoved(id)) {
                id = nextOutbound[id];
            }
            return id;
        }

        public final int destination(int id) {
            return to[id];
        }

        public final boolean flag(int id, int bit) {
            return ((flags[id] >> bit) & 1) != 0;
        }

        public final boolean isRemoved(int id) {
            return flag(id, REMOVED_BIT);
        }

        protected void ensureEdgeCapacity(int size) {
            if (from.length < size) {
                int newSize = Math.max(size, 2 * from.length);
                if (edges != null) {
                    edges = resize(edges, newSize);
                }
                from = resize(from, newSize);
                to = resize(to, newSize);
                nextOutbound = resize(nextOutbound, newSize);
                if (nextInbound != null) {
                    nextInbound = resize(nextInbound, newSize);
                }
                if (weight != null) {
                    weight = resize(weight, newSize);
                }
                if (capacity != null) {
                    capacity = resize(capacity, newSize);
                }
                if (reverseEdge != null) {
                    reverseEdge = resize(reverseEdge, newSize);
                }
                flags = resize(flags, newSize);
            }
        }

        protected final int[] resize(int[] array, int size) {
            int[] newArray = new int[size];
            System.arraycopy(array, 0, newArray, 0, array.length);
            return newArray;
        }

        private long[] resize(long[] array, int size) {
            long[] newArray = new long[size];
            System.arraycopy(array, 0, newArray, 0, array.length);
            return newArray;
        }

        private Edge[] resize(Edge[] array, int size) {
            Edge[] newArray = new Edge[size];
            System.arraycopy(array, 0, newArray, 0, array.length);
            return newArray;
        }

        protected class GraphEdge implements Edge {
            protected int id;

            protected GraphEdge(int id) {
                this.id = id;
            }

        }

    }
}