Problem: Write a program which manipulates a sequence A = {a1, a2, . . . , an} with the following operations:

* add(i, x): add x to ai.
* getSum(s, t): print the sum of as, as+1,...,at.



Note that the initial values of ai (i = 1, 2, . . . , n) are 0.

Constraints

* 1 ≤ n ≤ 100000
* 1 ≤ q ≤ 100000
* If comi is 0, then 1 ≤ xi ≤ n, 0 ≤ yi ≤ 1000.
* If comi is 1, then 1 ≤ xi ≤ n, 1 ≤ yi ≤ n.

Input


n q
com1 x1 y1
com2 x2 y2
...
comq xq yq


In the first line, n (the number of elements in A) and q (the number of queries) are given. Then, q queries are given where com represents the type of queries. '0' denotes add(xi, yi) and '1' denotes getSum(xi, yi).

Output

For each getSum operation, print the sum in a line.

Example

Input

3 5
0 1 1
0 2 2
0 3 3
1 1 2
1 2 2


Output

3
2

Solution (in JAVA):

Solution:
import java.util.*;

public class Main {
    public static void main(String[] args) {
        new Solver().solve(new Scanner(System.in));
//        new Solver().solve(new Scanner(ex));
    }

    private static final String ex = "6 16\n" +
            "0 3 1\n" +
            "0 3 2\n" +
            "1 1 6\n" +
            "1 1 2\n" +
            "1 1 3\n" +
            "1 2 4\n" +
            "1 3 4\n" +
            "0 4 5\n" +
            "0 6 1\n" +
            "0 1 2\n" +
            "1 1 6\n" +
            "1 2 6\n" +
            "1 4 4\n" +
            "1 3 6\n" +
            "1 1 1\n" +
            "1 6 6";
}

class Solver {
    void solve(Scanner scanner) {
        int[] split = splitInt(scanner.nextLine());
        int n = split[0];
        int q = split[1];

        long[] nums = new long[n + 1];
        SegmentTree st = new SegmentTree(nums);

        for (int i = 0; i < q; i ++) {
            split = splitInt(scanner.nextLine());
            int com = split[0];
            int x = split[1];
            int y = split[2];
            if (com == 0) {
                st.update(x, y);
            } else {
                System.out.println(st.query(x, y + 1));
            }
        }
    }

    private int[] splitInt(String s) {
        String[] split = s.split(" ");
        int[] splitInt = new int[split.length];
        for (int i = 0; i < split.length; i ++) {
            splitInt[i] = Integer.parseInt(split[i]);
        }
        return splitInt;
    }

    private long[] splitLong(String s) {
        String[] split = s.split(" ");
        long[] splitLong = new long[split.length];
        for (int i = 0; i < split.length; i ++) {
            splitLong[i] = Long.parseLong(split[i]);
        }
        return splitLong;
    }
}


class SegmentTree {
    private static final long DEFAULT_VALUE = 0;
    private long[] treeArray;
    private int length;

    SegmentTree(long[] nums) {
        length = marginLength(nums.length);
        treeArray = new long[length * 2 - 1];
        for (int i = 0; i < treeArray.length; i ++) {
            treeArray[i] = DEFAULT_VALUE;
        }
        for (int i = 0; i < nums.length; i ++)  {
            update(i, nums[i]);
        }
    }

    /**
     * query b/w [i, j)
     */
    long query(int i, int j) {
        if (i >= j) throw new IllegalArgumentException();
        return query(i, j, 0, 0, length);
    }

    private long query(int i, int j, int k, int l, int r) {
        if (r <= i || j <= l) return DEFAULT_VALUE;
        if (i <= l && r <= j) return treeArray[k];
        else {
            long vl = query(i, j, k * 2 + 1, l, (l + r) / 2);
            long vr = query(i, j, k * 2 + 2, (l + r) / 2, r);
            return updateFunc(vl, vr);
        }
    }

    void update(int i, long x) {
        i += length - 1;
        treeArray[i] = x + treeArray[i];
        while (i > 0) {
            i = (i - 1) / 2;
            treeArray[i] = updateFunc(treeArray[i * 2 + 1], treeArray[i * 2 + 2]);
        }
    }

    private long updateFunc(long a, long b) {
        return a + b;
    }

    private int marginLength(int length) {
        if ((length & (length - 1)) == 0) return length;
        int count = 0;
        while (length > 0) {
            length = length >> 1;
            count ++;
        }
        return 1 << count;
    }
}