using System;
using System.Collections;
using System.Collections.Generic;
using System.Diagnostics;
using System.IO;
using System.Linq;
using System.Numerics;
using System.Runtime.CompilerServices;
using System.Text;
using static System.Math;
using static Extensions;
using static MathExtensions;

public static class Program
{
    public struct Node { public long T, Index; }

    public struct Monoid : IMonoid<Node?>
    {
        public Node? Unit => null;
        public Node? Append(Node? left, Node? right)
        {
            if (left is Node l && right is Node r)
            {
                var t = Max((r.Index - l.Index) * 3 + l.T, r.T);
                var i = Max(l.Index, r.Index);
                return new Node { T = t, Index = i };
            }
            else return left ?? right;
        }
    }

    public struct Apply : IBinaryOperator<Node?, long, Node?>
    {
        public Node? Operate(Node? left, long right)
            => left is Node node ? new Node { T = node.T + right, Index = node.Index } : left;
    }

    public static void Solve()
    {
        var n = I;
        var t = Repeat(n - 1, () => L).ToArray();
        var segtree = new LazySegmentTree<Node?, Monoid, long, SumGroup_Int64, Apply>(
            t.Select((x, i) => new Node { T = x, Index = i }).Cast<Node?>().ToArray());
        var m = I;

        Repeat(m, () =>
        {
            var (l, r, d) = (I - 1, I - 1, L);
            segtree[l, r].Apply(d);
            var ans = segtree[0, n - 1].Concat();
            Console.WriteLine(ans.Value.T + 3);
        });
    }

    #region Scanners
    static Scanner _scanner;
    static char C => _scanner.NextChar();
    static string S => _scanner.NextString();
    static int I => _scanner.NextInt();
    static long L => _scanner.NextLong();
    static BigInteger B => _scanner.NextBigInteger();
    static double D => _scanner.NextDouble();
    static decimal M => _scanner.NextDecimal();
    #endregion

    public static void Main()
    {
        var sw = new StreamWriter(Console.OpenStandardOutput());
        sw.NewLine = "\n";
#if DEBUG
        sw.AutoFlush = true;
#else
        sw.AutoFlush = false;
#endif
        Console.SetOut(sw);
        _scanner = new Scanner(Console.OpenStandardInput());
        Solve();
        Console.Out.Flush();
    }
}

public static partial class Extensions
{
}

#region Library
// hotfixed
public class Scanner
{
    private readonly Stream _stream;
    private const int _bufferSize = 1024;
    private readonly byte[] _buf = new byte[_bufferSize];
    private int _len, _ptr;

    public Scanner(Stream stream)
    {
        _stream = stream;
    }

    public byte ReadByte()
    {
        if (_ptr >= _len)
        {
            _len = _stream.Read(_buf, 0, _bufferSize);
            _ptr = 0;
        }
        return _buf[_ptr++];
    }

    public char ReadChar() => (char)ReadByte();

    public string ReadLine()
    {
        var r = new StringBuilder();
        if (_ptr == 0) r.Append(ReadChar());
        for (; _ptr < _len; _ptr++) r.Append((char)_buf[_ptr]);
        return r.ToString();
    }

    public char NextChar() => char.Parse(NextString());

    public string NextString()
    {
        var r = new StringBuilder();
        var b = ReadChar();
#if DEBUG
        while (b != ' ' && b != '\r')
        {
            r.Append(b);
            b = ReadChar();
        }
        if (b == '\r') ReadChar();
#else
        while (b != ' ' && b != '\n')
        {
            r.Append(b);
            b = ReadChar();
        }
#endif
        return r.ToString();
    }

    public int NextInt() => (int)NextLong();

    public long NextLong()
    {
        var r = 0L;
        var b = ReadByte();
        var n = b == '-';
        if (n) b = ReadByte();
#if DEBUG
        while (b != ' ' && b != '\r')
#else
        while (b != ' ' && b != '\n')
#endif
        {
            r = r * 10 + b - '0';
            b = ReadByte();
        }
#if DEBUG
        if (b == '\r') ReadChar();
#endif
        return n ? -r : r;
    }

    public BigInteger NextBigInteger()
    {
        var r = new BigInteger();
        var b = ReadByte();
        var n = b == '-';
        if (n) b = ReadByte();
#if DEBUG
        while (b != ' ' && b != '\r')
#else
        while (b != ' ' && b != '\n')
#endif
        {
            r = r * 10 + b - '0';
            b = ReadByte();
        }
#if DEBUG
        if (b == '\r') ReadChar();
#endif
        return n ? -r : r;
    }

    public double NextDouble()
    {
        var i = 0L;
        var b = ReadByte();
        var n = b == '-';
        if (n) b = ReadByte();
#if DEBUG
        while (b != '.' && b != ' ' && b != '\r')
#else
        while (b != '.' && b != ' ' && b != '\n')
#endif
        {
            i = i * 10 + b - '0';
            b = ReadByte();
        }
#if DEBUG
        if (b == '\r') ReadByte();
#endif
        if (b != '.') return n ? -i : i;
        b = ReadByte();
        var f = 0L;
        var p = 0;
#if DEBUG
        while (b != ' ' && b != '\r')
#else
        while (b != ' ' && b != '\n')
#endif
        {
            f = f * 10 + b - '0';
            b = ReadByte();
            p++;
        }
#if DEBUG
        if (b == '\r') ReadByte();
#endif
        var r = i + (double)f / MathExtensions.Pow(10, p);
        return n ? -r : r;
    }

    public decimal NextDecimal() => decimal.Parse(NextString());

    public T Next<T>(Converter<string, T> parser) => parser(NextString());
}

public interface IMonoid<T>
{
    T Unit { get; }
    T Append(T left, T right);
}

public struct MinMonoid_Int32 : IMonoid<int>
{
    public int Unit => int.MaxValue;
    public int Append(int left, int right) => Min(left, right);
}

public struct MaxMonoid_Int32 : IMonoid<int>
{
    public int Unit => int.MinValue;
    public int Append(int left, int right) => Max(left, right);
}

public struct MinMonoid_Int64 : IMonoid<long>
{
    public long Unit => long.MaxValue;
    public long Append(long left, long right) => Min(left, right);
}

public struct MaxMonoid_Int64 : IMonoid<long>
{
    public long Unit => long.MinValue;
    public long Append(long left, long right) => Max(left, right);
}

public interface IGroup<T> : IMonoid<T>
{
    T Invert(T value);
}

public struct SumGroup_Int32 : IGroup<int>
{
    public int Unit => 0;
    public int Append(int left, int right) => left + right;
    public int Invert(int value) => -value;
}

public struct SumGroup_Int64 : IGroup<long>
{
    public long Unit => 0L;
    public long Append(long left, long right) => left + right;
    public long Invert(long value) => -value;
}

public interface IBinaryOperator<in TLeft, in TRight, out TResult>
{
    TResult Operate(TLeft left, TRight right);
}

public class LazySegmentTree<T, TMonoid, TOperand, TOperandMonoid, TOperator>
    where TMonoid : struct, IMonoid<T>
    where TOperandMonoid : struct, IMonoid<TOperand>
    where TOperator : struct, IBinaryOperator<T, TOperand, T>
{
    public class Segment
    {
        [DebuggerBrowsable(DebuggerBrowsableState.Never)]
        private readonly LazySegmentTree<T, TMonoid, TOperand, TOperandMonoid, TOperator> _outer;

        public Segment(LazySegmentTree<T, TMonoid, TOperand, TOperandMonoid, TOperator> outer)
        {
            _outer = outer;
        }

        public int L { get; set; }
        public int R { get; set; }

        public void Apply(TOperand x) => Apply(0, 0, _outer._size, this.L, this.R, x);
        public T Concat() => Concat(0, 0, _outer._size, this.L, this.R);

        private void Apply(int i, int il, int ir, int l, int r, TOperand x)
        {
            if (ir <= l || r <= il) return;
            else if (l <= il && ir <= r)
            {
                _outer._t[i] = _operator.Operate(_outer._t[i], x);
                _outer._ope[i] = _opeMonoid.Append(x, _outer._ope[i]);
            }
            else
            {
                Apply((i << 1) + 1, il, (il + ir) >> 1, 0, _outer._size, _outer._ope[i]);
                Apply((i << 1) + 1, il, (il + ir) >> 1, l, r, x);
                Apply((i << 1) + 2, (il + ir) >> 1, ir, 0, _outer._size, _outer._ope[i]);
                Apply((i << 1) + 2, (il + ir) >> 1, ir, l, r, x);
                _outer._t[i] = _monoid.Append(_outer._t[(i << 1) + 1], _outer._t[(i << 1) + 2]);
                _outer._ope[i] = _opeMonoid.Unit;
            }
        }

        private T Concat(int i, int il, int ir, int l, int r)
        {
            if (ir <= l || r <= il) return _monoid.Unit;
            else if (l <= il && ir <= r) return _outer._t[i];
            else return _operator.Operate(_monoid.Append(
                Concat((i << 1) + 1, il, (il + ir) >> 1, l, r),
                Concat((i << 1) + 2, (il + ir) >> 1, ir, l, r)), _outer._ope[i]);
        }
    }

    [DebuggerBrowsable(DebuggerBrowsableState.Never)]
    private static readonly TMonoid _monoid = default(TMonoid);
    [DebuggerBrowsable(DebuggerBrowsableState.Never)]
    private static readonly TOperandMonoid _opeMonoid = default(TOperandMonoid);
    [DebuggerBrowsable(DebuggerBrowsableState.Never)]
    private static readonly TOperator _operator = default(TOperator);
    [DebuggerBrowsable(DebuggerBrowsableState.Never)]
    private readonly Segment _segment;

    private readonly T[] _t;
    private readonly TOperand[] _ope;
    private readonly int _size;

    public LazySegmentTree(int length) : this()
    {
        if (length > (int.MaxValue >> 1) + 1) throw new ArgumentException();
        _size = 1;
        while (_size < length) _size <<= 1;
        _t = Enumerable.Repeat(_monoid.Unit, _size << 1).ToArray();
        _ope = Enumerable.Repeat(_opeMonoid.Unit, _size << 1).ToArray();
        this.Length = length;
    }

    public LazySegmentTree(IReadOnlyList<T> collection) : this()
    {
        if (collection.Count > (int.MaxValue >> 1) + 1) throw new ArgumentException();
        _size = 1;
        while (_size < collection.Count) _size <<= 1;
        _t = new T[_size << 1];
        for (var i = 0; i < _size; i++)
            _t[i + _size - 1] = i < collection.Count ? collection[i] : _monoid.Unit;
        for (var i = _size - 2; i >= 0; i--)
            _t[i] = _monoid.Append(_t[(i << 1) + 1], _t[(i << 1) + 2]);
        _ope = Enumerable.Repeat(_opeMonoid.Unit, _size << 1).ToArray();
        this.Length = collection.Count;
    }

    private LazySegmentTree()
    {
        _segment = new Segment(this);
    }

    public int Length { get; }
    public Segment this[int i] => this[i, i];
    public Segment this[int l, int r]
    {
        get { _segment.L = l; _segment.R = r + 1; return _segment; }
    }

    // for debug
    [DebuggerBrowsable(DebuggerBrowsableState.RootHidden)]
    public IEnumerable<T> Values
    {
        get { for (var i = 0; i < this.Length; i++) yield return this[i].Concat(); }
    }
}

[DebuggerStepThrough]
public static partial class Extensions
{
    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static void Assert(bool condition)
    {
        if (!condition) throw new Exception("Assertion failed");
    }

    public static string AsString(this IEnumerable<char> source) => new string(source.ToArray());

    public static Dictionary<T, int> Bucket<T>(this IEnumerable<T> source) where T : IEquatable<T>
    {
        var dict = new Dictionary<T, int>();
        foreach (var item in source) if (dict.ContainsKey(item)) dict[item]++; else dict[item] = 1;
        return dict;
    }

    public static int[] Bucket<T>(this IEnumerable<T> source, int maxValue, Func<T, int> selector)
    {
        var arr = new int[maxValue + 1];
        foreach (var item in source) arr[selector(item)]++;
        return arr;
    }

    public static IEnumerable<int> CumSum(this IEnumerable<int> source)
    {
        var sum = 0;
        foreach (var item in source) yield return sum += item;
    }

    public static IEnumerable<long> CumSum(this IEnumerable<long> source)
    {
        var sum = 0L;
        foreach (var item in source) yield return sum += item;
    }

    public static void Exit(int exitCode)
    {
        Console.Out.Flush();
        Environment.Exit(exitCode);
    }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static void ForEach<T>(this IEnumerable<T> source, Action<T> action)
    {
        foreach (var item in source) action(item);
    }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static void ForEach<T, _>(this IEnumerable<T> source, Func<T, _> func)
    {
        foreach (var item in source) func(item);
    }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static void ForEach<T>(this IEnumerable<T> source, Action<T, int> action)
    {
        var i = 0;
        foreach (var item in source) action(item, i++);
    }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static void ForEach<T, _>(this IEnumerable<T> source, Func<T, int, _> func)
    {
        var i = 0;
        foreach (var item in source) func(item, i++);
    }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static void Repeat(int count, Action action)
    {
        for (var i = 0; i < count; i++) action();
    }

    [MethodImpl(MethodImplOptions.AggressiveInlining)]
    public static void Repeat(int count, Action<int> action)
    {
        for (var i = 0; i < count; i++) action(i);
    }

    public static IEnumerable<T> Repeat<T>(int count, Func<T> func)
    {
        for (var i = 0; i < count; i++) yield return func();
    }

    public static IEnumerable<T> Repeat<T>(int count, Func<int, T> func)
    {
        for (var i = 0; i < count; i++) yield return func(i);
    }

    public static void Swap<T>(ref T x, ref T y)
    {
        var tmp = x; x = y; y = tmp;
    }

    public static (T1[], T2[]) Unzip<T1, T2>(this ICollection<(T1, T2)> source)
    {
        var ts1 = new T1[source.Count];
        var ts2 = new T2[source.Count];
        var i = 0;
        foreach (var (t1, t2) in source) { ts1[i] = t1; ts2[i] = t2; i++; }
        return (ts1, ts2);
    }

    public static (T1[], T2[], T3[]) Unzip<T1, T2, T3>(this ICollection<(T1, T2, T3)> source)
    {
        var ts1 = new T1[source.Count];
        var ts2 = new T2[source.Count];
        var ts3 = new T3[source.Count];
        var i = 0;
        foreach (var (t1, t2, t3) in source) { ts1[i] = t1; ts2[i] = t2; ts3[i] = t3; i++; }
        return (ts1, ts2, ts3);
    }

    public static (T1[], T2[], T3[], T4[]) Unzip<T1, T2, T3, T4>(this ICollection<(T1, T2, T3, T4)> source)
    {
        var ts1 = new T1[source.Count];
        var ts2 = new T2[source.Count];
        var ts3 = new T3[source.Count];
        var ts4 = new T4[source.Count];
        var i = 0;
        foreach (var (t1, t2, t3, t4) in source) { ts1[i] = t1; ts2[i] = t2; ts3[i] = t3; ts4[i] = t4; i++; }
        return (ts1, ts2, ts3, ts4);
    }

    public static IEnumerable<T> Zip<T1, T2, T3, T>(this IEnumerable<T1> first, IEnumerable<T2> second, IEnumerable<T3> thrid, Func<T1, T2, T3, T> resultSelector)
    {
        using (var e1 = first.GetEnumerator())
        using (var e2 = second.GetEnumerator())
        using (var e3 = thrid.GetEnumerator())
        {
            while (e1.MoveNext() && e2.MoveNext() && e3.MoveNext())
                yield return resultSelector(e1.Current, e2.Current, e3.Current);
        }
    }

    public static IEnumerable<T> Zip<T1, T2, T3, T4, T>(this IEnumerable<T1> first, IEnumerable<T2> second, IEnumerable<T3> thrid, IEnumerable<T4> fourth, Func<T1, T2, T3, T4, T> resultSelector)
    {
        using (var e1 = first.GetEnumerator())
        using (var e2 = second.GetEnumerator())
        using (var e3 = thrid.GetEnumerator())
        using (var e4 = fourth.GetEnumerator())
        {
            while (e1.MoveNext() && e2.MoveNext() && e3.MoveNext() && e4.MoveNext())
                yield return resultSelector(e1.Current, e2.Current, e3.Current, e4.Current);
        }
    }
}

[DebuggerStepThrough]
public static class MathExtensions
{
    public static int DivCeil(int left, int right)
        => left / right + (left % right == 0 ? 0 : 1);

    public static long DivCeil(long left, long right)
        => left / right + (left % right == 0L ? 0L : 1L);

    public static int Gcd(int left, int right)
    {
        int r;
        while ((r = left % right) != 0) { left = right; right = r; }
        return right;
    }

    public static long Gcd(long left, long right)
    {
        long r;
        while ((r = left % right) != 0L) { left = right; right = r; }
        return right;
    }

    public static BigInteger Gcd(BigInteger left, BigInteger right)
        => BigInteger.GreatestCommonDivisor(left, right);

    public static int HighestOneBit(int x)
    {
        x |= x >> 01;
        x |= x >> 02;
        x |= x >> 04;
        x |= x >> 08;
        x |= x >> 16;
        return x - (x >> 1);
    }

    public static long HighestOneBit(long x)
    {
        x |= x >> 01;
        x |= x >> 02;
        x |= x >> 04;
        x |= x >> 08;
        x |= x >> 16;
        x |= x >> 32;
        return x - (x >> 1);
    }

    public static int Lcm(int left, int right) => left / Gcd(left, right) * right;

    public static long Lcm(long left, long right) => left / Gcd(left, right) * right;

    public static BigInteger Lcm(BigInteger left, BigInteger right)
        => left / Gcd(left, right) * right;

    public static int Pow(int value, int exponent)
    {
        var r = 1;
        while (exponent > 0)
        {
            if ((exponent & 1) == 1) r *= value;
            value *= value;
            exponent >>= 1;
        }
        return r;
    }

    public static long Pow(long value, int exponent)
    {
        var r = 1L;
        while (exponent > 0)
        {
            if ((exponent & 1) == 1) r *= value;
            value *= value;
            exponent >>= 1;
        }
        return r;
    }

    public static long Fact(int value)
    {
        var r = 1L;
        for (var i = 2; i <= value; i++) r *= i;
        return r;
    }
}
#endregion