Problem: Bankopolis, the city you already know, finally got a new bank opened! Unfortunately, its security system is not yet working fine... Meanwhile hacker Leha arrived in Bankopolis and decided to test the system!

Bank has n cells for clients' money. A sequence from n numbers a1, a2, ..., an describes the amount of money each client has. Leha wants to make requests to the database of the bank, finding out the total amount of money on some subsegments of the sequence and changing values of the sequence on some subsegments. Using a bug in the system, Leha can requests two types of queries to the database:

  * 1 l r x y denoting that Leha changes each digit x to digit y in each element of sequence ai, for which l ≤ i ≤ r is holds. For example, if we change in number 11984381 digit 8 to 4, we get 11944341. It's worth noting that Leha, in order to stay in the shadow, never changes digits in the database to 0, i.e. y ≠ 0. 
  * 2 l r denoting that Leha asks to calculate and print the sum of such elements of sequence ai, for which l ≤ i ≤ r holds. 



As Leha is a white-hat hacker, he don't want to test this vulnerability on a real database. You are to write a similar database for Leha to test.

Input

The first line of input contains two integers n and q (1 ≤ n ≤ 105, 1 ≤ q ≤ 105) denoting amount of cells in the bank and total amount of queries respectively. 

The following line contains n integers a1, a2, ..., an (1 ≤ ai < 109) denoting the amount of money in each cell initially. These integers do not contain leading zeros.

Each of the following q lines has one of the formats:

  * 1 l r x y (1 ≤ l ≤ r ≤ n, 0 ≤ x ≤ 9, 1 ≤ y ≤ 9), denoting Leha asks to change each digit x on digit y for each element ai of the sequence for which l ≤ i ≤ r holds; 
  * 2 l r (1 ≤ l ≤ r ≤ n), denoting you have to calculate and print the sum of elements ai for which l ≤ i ≤ r holds. 

Output

For each second type query print a single number denoting the required sum.

Examples

Input

5 5
38 43 4 12 70
1 1 3 4 8
2 2 4
1 4 5 0 8
1 2 5 8 7
2 1 5


Output

103
207


Input

5 5
25 36 39 40 899
1 1 3 2 7
2 1 2
1 3 5 9 1
1 4 4 0 9
2 1 5


Output

111
1002

Note

Let's look at the example testcase.

Initially the sequence is [38, 43, 4, 12, 70]. 

After the first change each digit equal to 4 becomes 8 for each element with index in interval [1; 3]. Thus, the new sequence is [38, 83, 8, 12, 70].

The answer for the first sum's query is the sum in the interval [2; 4], which equal 83 + 8 + 12 = 103, so the answer to this query is 103.

The sequence becomes [38, 83, 8, 12, 78] after the second change and [38, 73, 7, 12, 77] after the third.

The answer for the second sum's query is 38 + 73 + 7 + 12 + 77 = 207.

Solution (in JAVA):

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

    static class TaskF {
        public static int[] arr;

        public void solve(int testNumber, InputReader in, OutputWriter out) {
            int n = in.nextInt(), q = in.nextInt();
            arr = in.readIntArray(n);
            TaskF.SegmentTree root = new TaskF.SegmentTree(n);
            for (int i = 0; i < q; i++) {
                int type = in.nextInt();
                if (type == 1) {
                    int from = in.nextInt() - 1, to = in.nextInt() - 1, a = in.nextInt(), b = in.nextInt();
                    root.modify(from, to, a, b);
                } else {
                    int from = in.nextInt() - 1, to = in.nextInt() - 1;
                    out.println(root.query(from, to));
                }
            }
        }

        static class SegmentTree {
            int n;
            long[][] value;
            int[][] delta;

            public SegmentTree(int n) {
                this.n = n;
                value = new long[4 * n][10];
                delta = new int[4 * n][10];
                init(0, 0, n - 1);
            }

            long[] combine(long[] a, int[] b) {
                long[] ret = new long[10];
                for (int i = 0; i < 10; i++) {
                    ret[b[i]] += a[i];
                }
                return ret;
            }

            int[] combined(int[] a, int[] b) {
                int[] c = new int[10];
                for (int i = 0; i < 10; i++) {
                    c[i] = b[a[i]];
                }
                return c;
            }

            void pushDelta(int root, int left, int right) {
                value[root] = combine(value[root], delta[root]);
                delta[2 * root + 1] = combined(delta[2 * root + 1], delta[root]);
                delta[2 * root + 2] = combined(delta[2 * root + 2], delta[root]);
                for (int i = 0; i < 10; i++) {
                    delta[root][i] = i;
                }
            }

            void init(int root, int left, int right) {
                for (int digit = 0; digit < 10; digit++) {
                    delta[root][digit] = digit;
                }
                if (left == right) {
                    int cpow = 1;
                    while (arr[left] > 0) {
                        int d = arr[left] % 10;
                        value[root][d] += cpow;
                        cpow *= 10;
                        arr[left] /= 10;
                    }
                } else {
                    int mid = (left + right) >> 1;
                    init(2 * root + 1, left, mid);
                    init(2 * root + 2, mid + 1, right);
                    value[root] = MatrixOperations.vector_add(value[2 * root + 1], value[2 * root + 2]);
                }
            }

            public long query(int from, int to) {
                long[] x = query(from, to, 0, 0, n - 1);
                long ret = 0;
                for (int j = 0; j < 10; j++) {
                    ret += x[j] * j;
                }
                return ret;
            }

            long[] query(int from, int to, int root, int left, int right) {
                if (from == left && to == right)
                    return combine(value[root], delta[root]);
                pushDelta(root, left, right);
                int mid = (left + right) >> 1;
                if (from <= mid && to > mid)
                    return MatrixOperations.vector_add(
                            query(from, Math.min(to, mid), root * 2 + 1, left, mid),
                            query(Math.max(from, mid + 1), to, root * 2 + 2, mid + 1, right));
                else if (from <= mid)
                    return query(from, Math.min(to, mid), root * 2 + 1, left, mid);
                else if (to > mid)
                    return query(Math.max(from, mid + 1), to, root * 2 + 2, mid + 1, right);
                else
                    throw new RuntimeException("Incorrect query from " + from + " to " + to);
            }

            public void modify(int from, int to, int a, int b) {
                if (a == b) return;
                int[] delta = new int[10];
                for (int i = 0; i < 10; i++) {
                    delta[i] = i == a ? b : i;
                }
                modify(from, to, delta, 0, 0, n - 1);
            }

            void modify(int from, int to, int[] delta, int root, int left, int right) {
                if (from == left && to == right) {
                    this.delta[root] = combined(this.delta[root], delta);
                    return;
                }
                pushDelta(root, left, right);
                int mid = (left + right) >> 1;
                if (from <= mid)
                    modify(from, Math.min(to, mid), delta, 2 * root + 1, left, mid);
                if (to > mid)
                    modify(Math.max(from, mid + 1), to, delta, 2 * root + 2, mid + 1, right);
                value[root] = MatrixOperations.vector_add(
                        combine(value[2 * root + 1], this.delta[2 * root + 1]),
                        combine(value[2 * root + 2], this.delta[2 * root + 2]));
            }

        }

    }

    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[] readIntArray(int tokens) {
            int[] ret = new int[tokens];
            for (int i = 0; i < tokens; i++) {
                ret[i] = nextInt();
            }
            return ret;
        }

        public int read() {
            if (this.numChars == -1) {
                throw new InputMismatchException();
            } else {
                if (this.curChar >= this.numChars) {
                    this.curChar = 0;

                    try {
                        this.numChars = this.stream.read(this.buf);
                    } catch (IOException var2) {
                        throw new InputMismatchException();
                    }

                    if (this.numChars <= 0) {
                        return -1;
                    }
                }

                return this.buf[this.curChar++];
            }
        }

        public int nextInt() {
            int c;
            for (c = this.read(); isSpaceChar(c); c = this.read()) {
                ;
            }

            byte sgn = 1;
            if (c == 45) {
                sgn = -1;
                c = this.read();
            }

            int res = 0;

            while (c >= 48 && c <= 57) {
                res *= 10;
                res += c - 48;
                c = this.read();
                if (isSpaceChar(c)) {
                    return res * sgn;
                }
            }

            throw new InputMismatchException();
        }

        public static boolean isSpaceChar(int c) {
            return c == 32 || c == 10 || c == 13 || c == 9 || c == -1;
        }

    }

    static class MatrixOperations {
        public static long[] vector_add(long[] A, long[] B) {
            long[] C = new long[A.length];
            for (int i = 0; i < A.length; i++)
                C[i] = A[i] + B[i];
            return C;
        }

    }

    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 println(long i) {
            writer.println(i);
        }

    }
}