Problem:
Score : 100 points

Problem Statement

You are given an array a_0, a_1, ..., a_{N-1} of length N. Process Q queries of the following types.

0 p x: a_p \gets a_p + x

1 l r: Print \sum_{i = l}^{r - 1}{a_i}.

Constraints

1 \leq N, Q \leq 500,000

0 \leq a_i, x \leq 10^9

0 \leq p < N

0 \leq l_i < r_i \leq N

All values in Input are integer.

Input

Input is given from Standard Input in the following format:

N Q
a_0 a_1 ... a_{N - 1}
\textrm{Query}_0
\textrm{Query}_1
:
\textrm{Query}_{Q - 1}

Output

For each query of the latter type, print the answer.

Sample Input 1

5 5
1 2 3 4 5
1 0 5
1 2 4
0 3 10
1 0 5
1 0 3

Sample Output 1

15
7
25
6

Solution in Java (OpenJDK 11.0.6) (judge verdict: Accepted)

import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.util.Arrays;
import java.util.function.LongBinaryOperator;
import java.nio.ByteBuffer;
import java.nio.charset.Charset;
import java.util.NoSuchElementException;
import java.io.OutputStream;
import java.nio.CharBuffer;
import java.io.IOException;
import java.nio.charset.CharsetDecoder;
import java.lang.reflect.Field;
import java.nio.charset.StandardCharsets;
import java.io.UncheckedIOException;
import java.util.function.LongUnaryOperator;
import java.security.AccessControlException;
import java.io.Writer;
import java.io.InputStream;

/**
 * Built using CHelper reloaded plug-in
 * Actual solution is at the top
 *
 * @author mikit
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        LightScanner2 in = new LightScanner2(inputStream);
        LightWriter2 out = new LightWriter2(outputStream);
        BFenwickTree solver = new BFenwickTree();
        solver.solve(1, in, out);
        out.close();
    }

    static class BFenwickTree {
        public void solve(int testNumber, LightScanner2 in, LightWriter2 out) {
            int n = in.ints(), q = in.ints();
            AbelianIntFenwickTree bit = new AbelianIntFenwickTree(in.longs(n), Long::sum, 0L, x -> -x);
            for (int i = 0; i < q; i++) {
                if (in.ints() == 0) {
                    bit.add(in.ints(), in.ints());
                } else {
                    out.ans(bit.query(in.ints(), in.ints())).ln();
                }
            }
        }

    }

    static abstract class LightScannerAdapter implements AutoCloseable {
        public abstract String string();

        public long longs() {
            return Long.parseLong(string());
        }

        public final long[] longs(int length) {
            long[] res = new long[length];
            Arrays.setAll(res, ignored -> longs());
            return res;
        }

        public abstract void close();

    }

    static class LightWriter2 implements AutoCloseable {
        private static final int BUF_SIZE = 32 * 1024;
        private static final int BUF_THRESHOLD = 1024;
        private final OutputStream out;
        private final byte[] buf = new byte[BUF_SIZE];
        private int ptr;
        private final Field fastStringAccess;
        private boolean autoflush = false;
        private boolean breaked = true;

        public LightWriter2(OutputStream out) {
            this.out = out;
            Field f;
            try {
                f = String.class.getDeclaredField("value");
                f.setAccessible(true);
                if (f.getType() != byte[].class) f = null;
            } catch (ReflectiveOperationException | AccessControlException ignored) {
                f = null;
            }
            this.fastStringAccess = f;
        }

        public LightWriter2(Writer out) {
            this.out = new LightWriter2.WriterOutputStream(out);
            this.fastStringAccess = null;
        }

        private void allocate(int n) {
            if (ptr + n <= BUF_SIZE) return;
            try {
                out.write(buf, 0, ptr);
                ptr = 0;
            } catch (IOException ex) {
                throw new UncheckedIOException(ex);
            }
            if (BUF_SIZE < n) throw new IllegalArgumentException("Internal buffer exceeded");
        }

        public void close() {
            try {
                out.write(buf, 0, ptr);
                ptr = 0;
                out.flush();
                out.close();
            } catch (IOException ex) {
                throw new UncheckedIOException(ex);
            }
        }

        public LightWriter2 print(char c) {
            allocate(1);
            buf[ptr++] = (byte) c;
            breaked = false;
            return this;
        }

        public LightWriter2 print(String s) {
            byte[] bytes;
            if (this.fastStringAccess == null) bytes = s.getBytes();
            else {
                try {
                    bytes = (byte[]) fastStringAccess.get(s);
                } catch (IllegalAccessException ignored) {
                    bytes = s.getBytes();
                }
            }
            int n = bytes.length;
            if (n <= BUF_THRESHOLD) {
                allocate(n);
                System.arraycopy(bytes, 0, buf, ptr, n);
                ptr += n;
                return this;
            }
            try {
                out.write(buf, 0, ptr);
                ptr = 0;
                out.write(bytes);
                out.flush();
            } catch (IOException ex) {
                throw new UncheckedIOException(ex);
            }
            return this;
        }

        public LightWriter2 ans(long l) {
            if (!breaked) {
                print(' ');
            }
            breaked = false;
            if (l == 0) return print('0');
            if (l < 0) {
                print('-');
                l = -l;
            }
            int n = 0;
            long t = l;
            while (t > 0) {
                t /= 10;
                n++;
            }
            allocate(n);
            for (int i = 1; i <= n; i++) {
                buf[ptr + n - i] = (byte) (l % 10 + '0');
                l /= 10;
            }
            ptr += n;
            return this;
        }

        public LightWriter2 ln() {
            print(System.lineSeparator());
            breaked = true;
            if (autoflush) {
                try {
                    out.flush();
                } catch (IOException ex) {
                    throw new UncheckedIOException(ex);
                }
            }
            return this;
        }

        private static class WriterOutputStream extends OutputStream {
            final Writer writer;
            final CharsetDecoder decoder;

            WriterOutputStream(Writer writer) {
                this.writer = writer;
                this.decoder = StandardCharsets.UTF_8.newDecoder();
            }

            public void write(int b) throws IOException {
                writer.write(b);
            }

            public void write(byte[] b) throws IOException {
                writer.write(decoder.decode(ByteBuffer.wrap(b)).array());
            }

            public void write(byte[] b, int off, int len) throws IOException {
                writer.write(decoder.decode(ByteBuffer.wrap(b, off, len)).array());
            }

            public void flush() throws IOException {
                writer.flush();
            }

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

        }

    }

    static class LightScanner2 extends LightScannerAdapter {
        private static final int BUF_SIZE = 32 * 1024;
        private final InputStream stream;
        private final StringBuilder builder = new StringBuilder();
        private final byte[] buf = new byte[BUF_SIZE];
        private int ptr;
        private int len;

        public LightScanner2(InputStream stream) {
            this.stream = stream;
        }

        private int read() {
            if (ptr < len) return buf[ptr++];
            try {
                ptr = 0;
                len = stream.read(buf);
            } catch (IOException ex) {
                throw new UncheckedIOException(ex);
            }
            if (len == -1) return -1;
            return buf[ptr++];
        }

        private void skip() {
            int b;
            while (isTokenSeparator(b = read()) && b != -1) ;
            if (b == -1) throw new NoSuchElementException("EOF");
            ptr--;
        }

        private void loadToken() {
            builder.setLength(0);
            skip();
            for (int b = read(); !isTokenSeparator(b); b = read()) {
                builder.appendCodePoint(b);
            }
        }

        public String string() {
            loadToken();
            return builder.toString();
        }

        public int ints() {
            long x = longs();
            if (x < Integer.MIN_VALUE || Integer.MAX_VALUE < x) throw new NumberFormatException("Overflow");
            return (int) x;
        }

        public long longs() {
            skip();
            int b = read();
            boolean negate;
            if (b == '-') {
                negate = true;
                b = read();
            } else negate = false;
            long x = 0;
            for (; !isTokenSeparator(b); b = read()) {
                if ('0' <= b && b <= '9') x = x * 10 + b - '0';
                else throw new NumberFormatException("Unexpected character '" + b + "'");
            }
            return negate ? -x : x;
        }

        public void close() {
            try {
                stream.close();
            } catch (IOException e) {
                throw new UncheckedIOException(e);
            }
        }

        private static boolean isTokenSeparator(int b) {
            return b < 33 || 126 < b;
        }

    }

    static final class BitMath {
        private BitMath() {
        }

        public static int extractLsb(int v) {
            return v & (-v);
        }

    }

    static class IntFenwickTree {
        protected final int n;
        private final long[] tree;
        protected final LongBinaryOperator op;
        protected final long zero;

        public IntFenwickTree(int n, LongBinaryOperator op, long zero) {
            this.n = n;
            tree = new long[n + 1];
            Arrays.fill(tree, zero);
            this.op = op;
            this.zero = zero;
        }

        public IntFenwickTree(long[] init, LongBinaryOperator op, long zero) {
            this(init.length, op, zero);
            for (int i = 0; i < n; i++) add(i, init[i]);
        }

        public void add(int index, long value) {
            for (index++; index <= n; index += BitMath.extractLsb(index)) {
                tree[index] = op.applyAsLong(tree[index], value);
            }
        }

        public long query(int last) {
            long res = zero;
            for (; last > 0; last -= BitMath.extractLsb(last)) {
                res = op.applyAsLong(res, tree[last]);
            }
            return res;
        }

    }

    static class AbelianIntFenwickTree extends IntFenwickTree {
        private final LongUnaryOperator rev;

        public AbelianIntFenwickTree(int n, LongBinaryOperator op, long zero, LongUnaryOperator rev) {
            super(n, op, zero);
            this.rev = rev;
        }

        public AbelianIntFenwickTree(long[] init, LongBinaryOperator op, long zero, LongUnaryOperator rev) {
            super(init, op, zero);
            this.rev = rev;
        }

        public long query(int first, int last) {
            if (first == 0) {
                return query(last);
            } else {
                return op.applyAsLong(query(last), rev.applyAsLong(query(first)));
            }
        }

    }
}