using System;
using System.Collections.Generic;
using System.Linq;
using static System.Console;
using static System.Convert;
using static System.Math;
using Pair = System.Tuple<int, int>;
using Edge = System.Tuple<int, int, long>;
//using Debug;
//using static System.Globalization.CultureInfo;

class Program
{
    static void Main(string[] args)
    {
        //Solve();
        WriteLine(Solve());
    }
    static string Solve()
    {
        var nm = Input.ar;
        var lrd = Input.ar2D(nm[1]);
        var ps = Enumerable.Range(0, nm[0]).Select(v => new P(v)).ToArray();
        for(var i = 0; i < nm[1]; i++)
        {
            for(var j = 0; j < 2; j++)
            {
                ps[lrd[i][j] - 1].adj.Add(lrd[i][1 - j] - 1);
                ps[lrd[i][j] - 1].dist[lrd[i][1 - j] - 1] = lrd[i][2];
            }
        }
        var pq = new PriorityQueue<P>(new P(-1, long.MaxValue), false);
        ps[0].Weight = 0;
        pq.Enqueue(ps[0]);
        while (!pq.isEmpty)
        {
            var p = pq.Dequeue();
            foreach (var ad in p.adj)
                if (ps[ad].Weight > p.Weight + p.dist[ad])
                {
                    ps[ad].Weight = p.Weight + p.dist[ad];
                    pq.Enqueue(ps[ad]);
                }
        }
        for(var i = 0; i < nm[1]; i++)
        {
            if (lrd[i][2] != Abs(ps[lrd[i][0] - 1].Weight - ps[lrd[i][1] - 1].Weight)) return "No";
        }
        return "Yes";
    }
}

public class Input
{
    public static string read => ReadLine();
    public  static int[] ar => Array.ConvertAll(read.Split(' '), int.Parse);
    public  static int num => ToInt32(read);
    public static long[] arL => Array.ConvertAll(read.Split(' '), long.Parse);
    public  static long numL => ToInt64(read);
    public static char[][] gred(int h) 
        => Enumerable.Repeat(0, h).Select(v => read.ToCharArray()).ToArray();
    public static int[][] ar2D(int num)
        => Enumerable.Repeat(0, num).Select(v => ar).ToArray();
    public static long[][] arL2D(int num)
        => Enumerable.Repeat(0, num).Select(v => arL).ToArray();
    public const long Inf = (long)1e18;
    public const double eps = 1e-6;
    public  const string Alfa = "abcdefghijklmnopqrstuvwxyz";
    public  const int MOD = 1000000007;
}

public class P : IComparable<P>
{
    public int index;
    public List<int> adj;
    public List<int> rev;
    public Dictionary<int, int> dist;
    public int parent;
    public long Weight { get; set; }
    public P(int index,long Weight=Input.Inf)
    {
        this.index = index;
        adj = new List<int>();
        rev = new List<int>();
        dist = new Dictionary<int, int>();
        this.Weight = Weight;
    }
    public static P[] Make(int num, int edge = 0, bool isNotDirected = true, bool isWeighted = true)
    {
        var ps = Enumerable.Range(0, num).Select(v => new P(v)).ToArray();
        for (var i = 0; i < edge; i++)
        {
            var inp = Input.ar;
            inp[0]--;
            inp[1]--;
            for (var j = 0; j <= ToInt32(isNotDirected); j++)
            {
                ps[inp[j]].adj.Add(inp[1 - j]);
                if (!isNotDirected)
                    ps[inp[1 - j]].rev.Add(inp[j]);
                if (isWeighted)
                    ps[inp[j]].dist[inp[1 - j]] = inp[2];
            }
        }
        return ps;
    }
    public override string ToString()
        => $"{index + 1} {Weight}";
    public override int GetHashCode()
        => index.GetHashCode();
    public int CompareTo(P p)
        => Weight.CompareTo(p.Weight);
}

public class PriorityQueue<T> where T : IComparable<T>
{
    private readonly List<T> items;
    private T MinValue { get; }//一番優先度が低い値

    public bool IsMax { get; }
    public int Size { get { return items.Count; } }
    public bool isEmpty { get { return items.Count == 0; } }
    
    public PriorityQueue(T MinValue,bool IsMax=true)
    {
        this.items = new List<T>();
        this.IsMax = IsMax;
        this.MinValue = MinValue;
    }

    private int Parent(int num)
    {
        return (num + 1) / 2 - 1;
    }
    private int Left(int num)
    { 
        return 2 * num + 1;
    }
    private int Right(int num)
    { 
        return 2 * (num + 1);
    }

    private void MaxHeapify(int num)
    {
        var left = Left(num);
        var right = Right(num);
        var largest = 0;
        if (Size >= left + 1 && items[left].CompareTo(items[num]) == 1)
            largest = left;
        else largest = num;
        if (Size >= right + 1 && items[right].CompareTo(items[largest]) == 1)
            largest = right;
        if (largest != num)
        {
            var value = items[largest];
            items[largest] = items[num];
            items[num] = value;
            MaxHeapify(largest);
        }
    }

    private void MinHeapify(int num)
    {
        var left = Left(num);
        var right = Right(num);
        var smallest = 0;
        if (Size >= left + 1 && items[num].CompareTo(items[left]) == 1) smallest = left;
        else smallest = num;
        if (Size >= right + 1 && items[smallest].CompareTo(items[right]) == 1) smallest = right;
        if (smallest != num)
        {
            var value = items[smallest];
            items[smallest] = items[num];
            items[num] = value;
            MinHeapify(smallest);
        }
    }

    private void BuildHeap()
    {
        for (var i = (int)Math.Ceiling((double)Size / 2) - 1; i >= 0; i--)
        {
            if (IsMax) MaxHeapify(i);
            else MinHeapify(i);
        }
    }
    

    private bool ChangeKey(int index, T reValue)
    {
        if (IsMax && items[index].CompareTo(reValue) == 1)
            return false;
        if (!IsMax && items[index].CompareTo(reValue) == -1)
            return false;
        items[index] = reValue;
        if (IsMax)
        {
            while (index > 0 && items[Parent(index)].CompareTo(items[index]) == -1)
            {
                var value = items[Parent(index)];
                items[Parent(index)] = items[index];
                items[index] = value;
                index = Parent(index);
            }
        }
        else
        {
            while (index > 0 && items[Parent(index)].CompareTo(items[index]) == 1)
            {
                var value = items[Parent(index)];
                items[Parent(index)] = items[index];
                items[index] = value;
                index = Parent(index);
            }
        }
        return true;
    }

    public T Peek { get { return items[0]; } }

    public T Dequeue()
    {
        if (Size <= 0) return default(T);
        var value = items[0];
        items[0] = items[Size - 1];
        items.RemoveAt(Size - 1);
        if (IsMax) MaxHeapify(0);
        else MinHeapify(0);
        return value;
    }

    public bool Enqueue(T key)
    {
        items.Add(MinValue);
        return ChangeKey(Size-1, key);
    }

    private bool Delete(int index)
    {
        if (index >= Size)
            return false;
        var value = items[index];
        items[index] = items[Size - 1];
        items[Size - 1] = value;
        items.RemoveAt(Size - 1);
        if (IsMax) MaxHeapify(0);
        else MinHeapify(0);
        return true;
    }
}
