Vasya has an array a consisting of positive integer numbers. Vasya wants to divide this array into two non-empty consecutive parts (the prefix and the suffix) so that the sum of all elements in the first part equals to the sum of elements in the second part. It is not always possible, so Vasya will move some element before dividing the array (Vasya will erase some element and insert it into an arbitrary position).

Inserting an element in the same position he was erased from is also considered moving.

Can Vasya divide the array after choosing the right element to move and its new position?

Input

The first line contains single integer n (1 ≤ n ≤ 100000) — the size of the array.

The second line contains n integers a1, a2... an (1 ≤ ai ≤ 109) — the elements of the array.

Output

Print YES if Vasya can divide the array after moving one element. Otherwise print NO.

Examples

Input

3
1 3 2


Output

YES


Input

5
1 2 3 4 5


Output

NO


Input

5
2 2 3 4 5


Output

YES

Note

In the first example Vasya can move the second element to the end of the array.

In the second example no move can make the division possible.

In the third example Vasya can move the fourth element by one position to the left.
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Collection;
import java.util.InputMismatchException;
import java.io.IOException;
import java.util.NoSuchElementException;
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);
        ArrayDivision solver = new ArrayDivision();
        solver.solve(1, in, out);
        out.close();
    }

    static class ArrayDivision {
        int n;
        int[] a;

        boolean check(int[] v) {
            long[] p = new long[n];
            p[0] = v[0];
            for (int i = 1; i < n; i++) {
                p[i] = p[i - 1] + v[i];
            }

            EzLongTreeSet seen = new EzLongTreeSet();
            for (int j = 0; j < n; j++) {
                seen.add(2 * v[j]);
                if (seen.contains(2 * p[j] - p[n - 1])) {
                    return true;
                }
            }
            return false;
        }

        public void solve(int testNumber, InputReader in, PrintWriter out) {
            n = in.nextInt();
            a = in.nextIntArray(n);

            boolean ok = check(a);
            for (int i = 0, j = n - 1; i < j; i++, j--) {
                int temp = a[i];
                a[i] = a[j];
                a[j] = temp;
            }
            ok = ok || check(a);

            out.println(ok ? "YES" : "NO");
        }

    }

    static interface EzLongSortedSet extends EzLongSet {
        int size();

        EzLongIterator iterator();

        boolean equals(Object object);

        int hashCode();

        String toString();

    }

    static interface EzLongCollection {
        int size();

        EzLongIterator iterator();

        boolean equals(Object object);

        int hashCode();

        String toString();

    }

    static interface EzLongIterator {
        boolean hasNext();

        long next();

    }

    static class EzLongTreeSet implements EzLongSortedSet {
        private static final int DEFAULT_CAPACITY = 10;
        private static final double ENLARGE_SCALE = 2.0;
        private static final int HASHCODE_INITIAL_VALUE = 0x811c9dc5;
        private static final int HASHCODE_MULTIPLIER = 0x01000193;
        private static final boolean BLACK = false;
        private static final boolean RED = true;
        private static final int NULL = 0;
        private long[] key;
        private int[] left;
        private int[] right;
        private int[] p;
        private boolean[] color;
        private int size;
        private int root;
        private boolean returnedNull;

        public EzLongTreeSet() {
            this(DEFAULT_CAPACITY);
        }

        public EzLongTreeSet(int capacity) {
            if (capacity < 0) {
                throw new IllegalArgumentException("Capacity must be non-negative");
            }
            capacity++;
            key = new long[capacity];
            left = new int[capacity];
            right = new int[capacity];
            p = new int[capacity];
            color = new boolean[capacity];
            color[NULL] = BLACK;
            size = 0;
            root = NULL;
            returnedNull = false;
        }

        public EzLongTreeSet(EzLongCollection collection) {
            this(collection.size());
            for (EzLongIterator iterator = collection.iterator(); iterator.hasNext(); ) {
                add(iterator.next());
            }
        }

        public EzLongTreeSet(long[] srcArray) {
            this(srcArray.length);
            for (long element : srcArray) {
                add(element);
            }
        }

        public EzLongTreeSet(Collection<Long> javaCollection) {
            this(javaCollection.size());
            for (long element : javaCollection) {
                add(element);
            }
        }

        public int size() {
            return size;
        }

        public boolean contains(long element) {
            int x = root;
            while (x != NULL) {
                if (element < key[x]) {
                    x = left[x];
                } else if (element > key[x]) {
                    x = right[x];
                } else {
                    return true;
                }
            }
            return false;
        }

        public EzLongIterator iterator() {
            return new EzLongTreeSetIterator();
        }

        public boolean add(long element) {
            int y = NULL;
            int x = root;
            while (x != NULL) {
                //noinspection SuspiciousNameCombination
                y = x;
                if (element < key[x]) {
                    x = left[x];
                } else if (element > key[x]) {
                    x = right[x];
                } else {
                    return false;
                }
            }
            if (size == color.length - 1) {
                enlarge();
            }
            int z = ++size;
            key[z] = element;
            p[z] = y;
            if (y == NULL) {
                root = z;
            } else {
                if (element < key[y]) {
                    left[y] = z;
                } else {
                    right[y] = z;
                }
            }
            left[z] = NULL;
            right[z] = NULL;
            color[z] = RED;
            fixAfterAdd(z);
            return true;
        }

        private int successorNode(int x) {
            if (right[x] != NULL) {
                x = right[x];
                while (left[x] != NULL) {
                    x = left[x];
                }
                return x;
            } else {
                int y = p[x];
                while (y != NULL && x == right[y]) {
                    //noinspection SuspiciousNameCombination
                    x = y;
                    y = p[y];
                }
                return y;
            }
        }

        private void fixAfterAdd(int z) {
            while (color[p[z]] == RED) {
                if (p[z] == left[p[p[z]]]) {
                    int y = right[p[p[z]]];
                    if (color[y] == RED) {
                        color[p[z]] = BLACK;
                        color[y] = BLACK;
                        color[p[p[z]]] = RED;
                        z = p[p[z]];
                    } else {
                        if (z == right[p[z]]) {
                            z = p[z];
                            rotateLeft(z);
                        }
                        color[p[z]] = BLACK;
                        color[p[p[z]]] = RED;
                        rotateRight(p[p[z]]);
                    }
                } else {
                    int y = left[p[p[z]]];
                    if (color[y] == RED) {
                        color[p[z]] = BLACK;
                        color[y] = BLACK;
                        color[p[p[z]]] = RED;
                        z = p[p[z]];
                    } else {
                        if (z == left[p[z]]) {
                            z = p[z];
                            rotateRight(z);
                        }
                        color[p[z]] = BLACK;
                        color[p[p[z]]] = RED;
                        rotateLeft(p[p[z]]);
                    }
                }
            }
            color[root] = BLACK;
        }

        private void rotateLeft(int x) {
            int y = right[x];
            right[x] = left[y];
            if (left[y] != NULL) {
                p[left[y]] = x;
            }
            p[y] = p[x];
            if (p[x] == NULL) {
                root = y;
            } else {
                if (x == left[p[x]]) {
                    left[p[x]] = y;
                } else {
                    right[p[x]] = y;
                }
            }
            left[y] = x;
            p[x] = y;
        }

        private void rotateRight(int x) {
            int y = left[x];
            left[x] = right[y];
            if (right[y] != NULL) {
                p[right[y]] = x;
            }
            p[y] = p[x];
            if (p[x] == NULL) {
                root = y;
            } else {
                if (x == right[p[x]]) {
                    right[p[x]] = y;
                } else {
                    left[p[x]] = y;
                }
            }
            right[y] = x;
            p[x] = y;
        }

        private void enlarge() {
            int newLength = Math.max(color.length + 1, (int) (color.length * ENLARGE_SCALE));
            key = Arrays.copyOf(key, newLength);
            left = Arrays.copyOf(left, newLength);
            right = Arrays.copyOf(right, newLength);
            p = Arrays.copyOf(p, newLength);
            color = Arrays.copyOf(color, newLength);
        }

        private int firstNode() {
            int x = root;
            while (left[x] != NULL) {
                x = left[x];
            }
            return x;
        }

        public boolean equals(Object o) {
            if (this == o) return true;
            if (o == null || getClass() != o.getClass()) return false;
            EzLongTreeSet that = (EzLongTreeSet) o;

            if (size != that.size) {
                return false;
            }
            for (int x = firstNode(), y = that.firstNode();
                 x != NULL;
                //noinspection SuspiciousNameCombination
                 x = successorNode(x), y = that.successorNode(y)
            ) {
                if (key[x] != that.key[y]) {
                    return false;
                }
            }
            return true;
        }

        public int hashCode() {
            int hash = HASHCODE_INITIAL_VALUE;
            for (int x = firstNode(); x != NULL; x = successorNode(x)) {
                hash = (hash ^ PrimitiveHashCalculator.getHash(key[x])) * HASHCODE_MULTIPLIER;
            }
            return hash;
        }

        public String toString() {
            StringBuilder sb = new StringBuilder();
            sb.append('[');
            for (int x = firstNode(); x != NULL; x = successorNode(x)) {
                if (sb.length() > 1) {
                    sb.append(", ");
                }
                sb.append(key[x]);
            }
            sb.append(']');
            return sb.toString();
        }

        private class EzLongTreeSetIterator implements EzLongIterator {
            private int x;

            private EzLongTreeSetIterator() {
                x = firstNode();
            }

            public boolean hasNext() {
                return x != NULL;
            }

            public long next() {
                if (x == NULL) {
                    throw new NoSuchElementException("Iterator doesn't have more elements");
                }
                final long result = key[x];
                x = successorNode(x);
                return result;
            }

        }

    }

    static final class PrimitiveHashCalculator {
        private PrimitiveHashCalculator() {
        }

        public static int getHash(long x) {
            return (int) x ^ (int) (x >>> 32);
        }

    }

    static interface EzLongSet extends EzLongCollection {
        int size();

        EzLongIterator iterator();

        boolean equals(Object object);

        int hashCode();

        String toString();

    }

    static class InputReader {
        private final InputStream is;
        private final byte[] inbuf = new byte[1024];
        private int lenbuf = 0;
        private int ptrbuf = 0;

        public InputReader(InputStream stream) {
            is = stream;
        }

        private int readByte() {
            if (lenbuf == -1) throw new InputMismatchException();
            if (ptrbuf >= lenbuf) {
                ptrbuf = 0;
                try {
                    lenbuf = is.read(inbuf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (lenbuf <= 0) return -1;
            }
            return inbuf[ptrbuf++];
        }

        public int[] nextIntArray(int n) {
            int[] a = new int[n];
            for (int i = 0; i < n; i++) a[i] = nextInt();
            return a;
        }

        public int nextInt() {
            int num = 0, b;
            boolean minus = false;
            while ((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')) ;
            if (b == '-') {
                minus = true;
                b = readByte();
            }

            while (true) {
                if (b >= '0' && b <= '9') {
                    num = num * 10 + (b - '0');
                } else {
                    return minus ? -num : num;
                }
                b = readByte();
            }
        }

    }
}

