stablegradients/pie-gem5-pairs huggingface dataset:
// Slower C++ solution:
#include<bits/stdc++.h>

#define base 200000

#define inf 0x3f3f3f3f

using namespace std;

int n,m,x,y,w,ans,maxn,minn,dist[100010],vi[100010];

vector<int> g[100010],l[100010];

queue<int> q;

bool flag=false;



bool spfa(int s){

	memset(dist,0x3f,sizeof(dist));

	dist[s]=0,maxn=minn=0,q.push(s),vi[s]=1;

	while(!q.empty()){

		int u=q.front();q.pop();

		for(int i=0;i<g[u].size();i++){

			int v=g[u][i];

			if(!vi[v]){

				dist[v]=dist[u]+l[u][i];

				q.push(v),vi[v]=1;

				maxn=max(maxn,dist[v]),minn=min(minn,dist[v]);

			}

			else if(dist[v]!=dist[u]+l[u][i]) return true;

		}

	}

	return false;

}



int main(){

//	freopen("line.in","r",stdin);

//	freopen("line.out","w",stdout);

	scanf("%d%d",&n,&m);

	for(int i=1;i<=m;i++){

		scanf("%d%d%d",&x,&y,&w);

		g[x].push_back(y),l[x].push_back(w),g[y].push_back(x),l[y].push_back(-w);

	}

	for(int i=1;i<=n;i++){

		if(!vi[i]){

			flag=spfa(i);

			if(flag){

//				printf("impossible");

				printf("No");

				return 0;

			}

			ans=max(ans,maxn-minn);

		}

	}

//	printf("%d",ans);

	printf("Yes");

}

// Faster C++ solution for the same problem (measured speedup: 4.896169387250942x):
#include <cstdio>

#include <iostream>

#include <algorithm>

#include <cstring>

#include <queue>



using namespace std;



struct edge

{

    int v,w,nxt;

}e[400050];



int head[100050],ecnt;



void adde(int u,int v,int w)

{

    e[++ecnt].v = v;

    e[ecnt].w = w;

    e[ecnt].nxt = head[u];

    head[u] = ecnt;

}



int N,M;

int l[200050],r[200050];

int d[200050];

int dist[100005];

queue<int> que;

bool vis[100050],inq[100050];



bool spfa(int st)

{

    que.push(st);

    inq[st] = true;

    dist[st] = 0;

    int curmax = 0,curmin = 0;

    while(!que.empty())

    {

        int u = que.front();

        que.pop();

        for(int i = head[u];i;i = e[i].nxt)

        {

            int v = e[i].v;

            if(dist[v] == 0x3f3f3f3f)

            {

                dist[v] = dist[u] + e[i].w;

                curmax = max(curmax,dist[v]);

                curmin = min(curmin,dist[v]);

                if(curmax - curmin > 1e9)

                    return false;

                vis[v] = 1;

                if(!inq[v])

                    que.push(v);

            }

            else if(dist[v] != dist[u] + e[i].w)

                return false;

        }

        inq[u] = false;

    }

    return true;

}



int main()

{

    memset(dist,0x3f,sizeof(dist));

    scanf("%d%d",&N,&M);

    for(int i = 1;i <= M; ++ i)

    {

        scanf("%d%d%d",&l[i],&r[i],&d[i]);

        adde(l[i],r[i],d[i]);

        adde(r[i],l[i],-d[i]);

    }

    for(int i = 1;i <= N; ++ i)

    {

        if(!vis[i])

        {

            vis[i] = 1;

            if(!spfa(i))

            {

                printf("No\n");

                return 0;

            }

        }

    }

    printf("Yes\n");

    return 0;

}
// Slower C++ solution:
#include<bits/stdc++.h>

const int N=1e6+10;

using namespace std;



inline int read(){

	char ch=getchar();int x=0,f=1;

	while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}

	while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}

	return x*f;

} 



struct node{

	int v,nxt,w;

}e[N<<1];

int head[N],cnt;

int dis[N],n,m,INF;

bool used[N],vis[N];



void add(int u,int v,int w){

	e[++cnt].v=v;

	e[cnt].w=w;

	e[cnt].nxt=head[u];

	head[u]=cnt;

}



bool spfa(int s){

	queue<int> q;

	q.push(s);

	vis[s]=true;

	dis[s]=0;

	while(!q.empty()){

		int u=q.front();

		q.pop();vis[u]=false;

		for(int i=head[u];i;i=e[i].nxt){

			int v=e[i].v,w=e[i].w;

			if(dis[v]==INF){

				dis[v]=dis[u]+w;

				used[v]=true;

				if(!vis[v])vis[v]=true,q.push(v);

			}

			else if(dis[v]!=dis[u]+w)return false;

		}

	}

	return true;

}



int main(){

	memset(dis,0x3f,sizeof(dis));

	INF=dis[1];

	n=read(),m=read();

	for(int i=1;i<=m;i++){

		int x=read(),y=read(),z=read();

		add(x,y,z);add(y,x,-z);

	}

	for(int i=1;i<=n;i++){

		if(!used[i]){

			used[i]=true;

			if(!spfa(i)){

				printf("No");

				return 0;

			}

		}

	}

	printf("Yes");

	return 0;

}




// Faster C++ solution for the same problem (measured speedup: 3.6309370343690905x):
#include <cstdio>

#include <iostream>

#include <algorithm>

#include <cstring>

#include <queue>



using namespace std;



struct edge

{

    int v,w,nxt;

}e[400050];



int head[100050],ecnt;



void adde(int u,int v,int w)

{

    e[++ecnt].v = v;

    e[ecnt].w = w;

    e[ecnt].nxt = head[u];

    head[u] = ecnt;

}



int N,M;

int l[200050],r[200050];

int d[200050];

int dist[100005];

queue<int> que;

bool vis[100050],inq[100050];



bool spfa(int st)

{

    que.push(st);

    inq[st] = true;

    dist[st] = 0;

    int curmax = 0,curmin = 0;

    while(!que.empty())

    {

        int u = que.front();

        que.pop();

        for(int i = head[u];i;i = e[i].nxt)

        {

            int v = e[i].v;

            if(dist[v] == 0x3f3f3f3f)

            {

                dist[v] = dist[u] + e[i].w;

                curmax = max(curmax,dist[v]);

                curmin = min(curmin,dist[v]);

                if(curmax - curmin > 1e9)

                    return false;

                vis[v] = 1;

                if(!inq[v])

                    que.push(v);

            }

            else if(dist[v] != dist[u] + e[i].w)

                return false;

        }

        inq[u] = false;

    }

    return true;

}



int main()

{

    memset(dist,0x3f,sizeof(dist));

    scanf("%d%d",&N,&M);

    for(int i = 1;i <= M; ++ i)

    {

        scanf("%d%d%d",&l[i],&r[i],&d[i]);

        adde(l[i],r[i],d[i]);

        adde(r[i],l[i],-d[i]);

    }

    for(int i = 1;i <= N; ++ i)

    {

        if(!vis[i])

        {

            vis[i] = 1;

            if(!spfa(i))

            {

                printf("No\n");

                return 0;

            }

        }

    }

    printf("Yes\n");

    return 0;

}
// Slower C++ solution:
#include<bits/stdc++.h>

#define fr(i,a,b) for(register int i = a;i <= b;++i)

#define inf 0x3f3f3f3f

#define N 100010

#define M 200010

using namespace std;



struct edge{

	int to,nxt,w;

}e[M << 2];

int h[N],dis[N],vis[N];

int tot,n,m;



inline int read(){

	int x = 0,f = 1;char c = getchar();

	while(!isdigit(c)){if(c == '-')f = -1;c = getchar();}

	while(isdigit(c)){x = x * 10 + c - '0';c = getchar();}

	return f * x;

}



inline void add(int x,int y,int z){

	e[++tot] = (edge){y,h[x],z};

	h[x] = tot;

}



inline int spfa(int s){

	queue<int>q;

	q.push(s);vis[s] = 1;dis[s] = 0;

	while(q.size()){

		int x = q.front();q.pop();

		for(register int i = h[x];i;i = e[i].nxt){

			int p = e[i].to;

			if(dis[p] == inf){

				dis[p] = dis[x] + e[i].w;

				if(!vis[p])vis[p] = 1,q.push(p);

			}

			else if(dis[p] != dis[x] + e[i].w)return 0;

		}

	}

	return 1;

}



int main(){

	n = read();m = read();

	if(!m){printf("Yes");return 0;}

	fr(i,1,m){

		int x = read(),y = read(),z = read();

		add(x,y,z);add(y,x,-z);

	}

	memset(dis,inf,sizeof(dis));

	memset(vis,0,sizeof(vis));

	fr(i,1,n)

		if(!vis[i]){

			int x = spfa(i);

			if(!x){printf("No");return 0;}

		}

	printf("Yes");

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 1.2820679089948135x):
#include <cstdio>

#include <iostream>

#include <algorithm>

#include <cstring>

#include <queue>



using namespace std;



struct edge

{

    int v,w,nxt;

}e[400050];



int head[100050],ecnt;



void adde(int u,int v,int w)

{

    e[++ecnt].v = v;

    e[ecnt].w = w;

    e[ecnt].nxt = head[u];

    head[u] = ecnt;

}



int N,M;

int l[200050],r[200050];

int d[200050];

int dist[100005];

queue<int> que;

bool vis[100050],inq[100050];



bool spfa(int st)

{

    que.push(st);

    inq[st] = true;

    dist[st] = 0;

    int curmax = 0,curmin = 0;

    while(!que.empty())

    {

        int u = que.front();

        que.pop();

        for(int i = head[u];i;i = e[i].nxt)

        {

            int v = e[i].v;

            if(dist[v] == 0x3f3f3f3f)

            {

                dist[v] = dist[u] + e[i].w;

                curmax = max(curmax,dist[v]);

                curmin = min(curmin,dist[v]);

                if(curmax - curmin > 1e9)

                    return false;

                vis[v] = 1;

                if(!inq[v])

                    que.push(v);

            }

            else if(dist[v] != dist[u] + e[i].w)

                return false;

        }

        inq[u] = false;

    }

    return true;

}



int main()

{

    memset(dist,0x3f,sizeof(dist));

    scanf("%d%d",&N,&M);

    for(int i = 1;i <= M; ++ i)

    {

        scanf("%d%d%d",&l[i],&r[i],&d[i]);

        adde(l[i],r[i],d[i]);

        adde(r[i],l[i],-d[i]);

    }

    for(int i = 1;i <= N; ++ i)

    {

        if(!vis[i])

        {

            vis[i] = 1;

            if(!spfa(i))

            {

                printf("No\n");

                return 0;

            }

        }

    }

    printf("Yes\n");

    return 0;

}
// Slower C++ solution:
# include <cstring>

# include <cstdio>

# include <iostream>

# include <queue>

# define N 100050

# define M 200050 

# define WQD 0x7f7f7f7f

int n;

int m;

struct Edge{int next,to, w;}  e[M<<1];

int head[N+1]; 

int dis[N+1];

bool vis[N+1];

bool book[ N + 1 ] ;

bool spfa(int s);

using namespace std;

int main()

{

	memset(dis,0x7f,sizeof(dis));

	memset(book,0,sizeof(book));

	ios::sync_with_stdio ( false ) ;

	int u,v,w;

	memset(head,-1,sizeof(head));

	cin>>n>>m;

	for(int i=1; i<=m; i++)

	{

		cin>>u>>v>>w;

		e[i]=(Edge){head[u],v,w};head[u]=i;

		e[m+i]=(Edge){head[v],u,-w};head[v]=m+i;

	}

	for(int i=1; i<=n; i++)

		if(!vis[i]) 

		{

			vis[i]=1;

			if(!spfa(i))  {cout<<"No";return 0;}

		}

	cout<<"Yes";

	return 0;

}

bool spfa(int s)

{

 	queue<int>q;

//	memset(book,0,sizeof(book));

//	memset(dis,0x7f,sizeof(dis));

	dis[s]=0;

	q.push(s);book[s]=1;

	while(q.size()>0)

	{

		int k=q.front();q.pop();

		book[k]=0;

		for(int i=head[k]; i!=-1; i=e[i].next)

		{

			int v=e[i].to;

			if(dis[v]==WQD ) 

			{				

				dis[v]=dis[k]+e[i].w;

				if( ! book[v])	{q.push(v);	book[v]=1;}

				vis[v]=1;

			}

			else if(  (dis[v]!=dis[k]+e[i].w) )	return false;

		}		

    }

	return true;

}

// Faster C++ solution for the same problem (measured speedup: 1.9307934329887104x):
#include <iostream>

#include <cstdio>

#include <algorithm>

#define N 400005

#define inf 0x7fffffff

using namespace std;



struct E {int next, to, dis;} e[N];

int n, m, num, flag, cnt;

int h[N], a[N], pos[N], obj[N];

bool vis[N];



int read()

{

    int x = 0; char c = getchar();

    while(c < '0' || c > '9') c = getchar();

    while(c >= '0' && c <= '9') {x = x * 10 + c - '0'; c = getchar();}

    return x;

}



void add(int u, int v, int w)

{

    e[++num].next = h[u];

    e[num].to = v;

    e[num].dis = w;

    h[u] = num;

}



void dfs(int x)

{

    if(flag) return;

    vis[x] = 1;

    for(int i = h[x]; i != 0; i = e[i].next)

    {

        int t = pos[x] + e[i].dis;

        if(pos[e[i].to] == inf) pos[e[i].to] = t, dfs(e[i].to);

        else if(t != pos[e[i].to]) {flag = 1; return;}

    }

}



int main()

{

    cin >> n >> m;

    for(int i = 1; i <= m; i++)

    {

        int a = read(), b = read(), c = read();

        add(a, b, c), add(b, a, -c);

        pos[a] = pos[b] = inf;

        obj[++cnt] = a, obj[++cnt] = b;

    }

    sort(obj + 1, obj + 1 + cnt);

    cnt = unique(obj + 1, obj + 1 + cnt) - obj - 1;

    for(int i = 1; i <= cnt; i++)

        if(!vis[obj[i]])

        {

            flag = 0;

            pos[obj[i]] = 0;

            dfs(obj[i]);

            if(flag) {cout << "No"; return 0;}

        }

    cout << "Yes";

    return 0;

}
// Slower C++ solution:
#include<bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N=100005;

struct node

{

	int to;

	ll v;

	node(int a=0,int b=0){to=a;v=b;}

};

vector<node> path[N];

bool use[N];

ll d[N];

bool dfs(int o)

{

	use[o]=true;

	for(int i=path[o].size()-1;i>=0;i--)

	{

		node e=path[o][i];

		if(d[e.to]>d[o]+e.v)

		{

			if(use[e.to]) return true;

			d[e.to]=d[o]+e.v;

			if(dfs(e.to)) return true;

		}

	}

	use[o]=false;

	return false;

}

int main()

{

	int n,m,a,b;

	ll dd;

	scanf("%d%d",&n,&m);

	while(m--)

	{

		scanf("%d%d%lld",&a,&b,&dd);

		path[a].push_back(node(b,dd));

		path[b].push_back(node(a,-dd));

	}

	for(int i=1;i<=n;i++) 

	{

		d[i]=LLONG_MAX;

		path[0].push_back(node(i,0));

	}

	if(dfs(0)) puts("No");

	else puts("Yes");

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 3.5344222253575093x):
#include <iostream>

#include <cstdio>

#include <algorithm>

#define N 400005

#define inf 0x7fffffff

using namespace std;



struct E {int next, to, dis;} e[N];

int n, m, num, flag, cnt;

int h[N], a[N], pos[N], obj[N];

bool vis[N];



int read()

{

    int x = 0; char c = getchar();

    while(c < '0' || c > '9') c = getchar();

    while(c >= '0' && c <= '9') {x = x * 10 + c - '0'; c = getchar();}

    return x;

}



void add(int u, int v, int w)

{

    e[++num].next = h[u];

    e[num].to = v;

    e[num].dis = w;

    h[u] = num;

}



void dfs(int x)

{

    if(flag) return;

    vis[x] = 1;

    for(int i = h[x]; i != 0; i = e[i].next)

    {

        int t = pos[x] + e[i].dis;

        if(pos[e[i].to] == inf) pos[e[i].to] = t, dfs(e[i].to);

        else if(t != pos[e[i].to]) {flag = 1; return;}

    }

}



int main()

{

    cin >> n >> m;

    for(int i = 1; i <= m; i++)

    {

        int a = read(), b = read(), c = read();

        add(a, b, c), add(b, a, -c);

        pos[a] = pos[b] = inf;

        obj[++cnt] = a, obj[++cnt] = b;

    }

    sort(obj + 1, obj + 1 + cnt);

    cnt = unique(obj + 1, obj + 1 + cnt) - obj - 1;

    for(int i = 1; i <= cnt; i++)

        if(!vis[obj[i]])

        {

            flag = 0;

            pos[obj[i]] = 0;

            dfs(obj[i]);

            if(flag) {cout << "No"; return 0;}

        }

    cout << "Yes";

    return 0;

}
// Slower C++ solution:
#include<cstdio>

#include<vector>

using namespace std;

int a,b,c,n,m,dis[100005];

bool vis[100005];

struct edge{

	int to,v;

	edge(int a=0,int b=0){to=a;v=b;}

};

vector<edge> path[200005];

bool spfa(int x){

	vis[x]=true;

	for(int i=0;i<path[x].size();i++){

		edge e=path[x][i];

		if(dis[e.to]<dis[x]+e.v){

			if(vis[e.to])return true;

			dis[e.to]=dis[x]+e.v;

			if(spfa(e.to))return true;

		}

	}

	vis[x]=false;

	return false;

}

int main(){

	scanf("%d%d",&n,&m);

	for(int i=1;i<=m;i++){

		scanf("%d%d%d",&a,&b,&c);//b-a=c

		path[b].push_back(edge(a,c));

		path[a].push_back(edge(b,-c));

	}

	for(int i=1;i<=n;i++){

		dis[i]=-9999999;

		path[0].push_back(edge(i,0));

	}

	if(spfa(0))printf("No");

	else printf("Yes");

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 6.403932173457913x):
#include <iostream>

#include <cstdio>

#include <algorithm>

#define N 400005

#define inf 0x7fffffff

using namespace std;



struct E {int next, to, dis;} e[N];

int n, m, num, flag, cnt;

int h[N], a[N], pos[N], obj[N];

bool vis[N];



int read()

{

    int x = 0; char c = getchar();

    while(c < '0' || c > '9') c = getchar();

    while(c >= '0' && c <= '9') {x = x * 10 + c - '0'; c = getchar();}

    return x;

}



void add(int u, int v, int w)

{

    e[++num].next = h[u];

    e[num].to = v;

    e[num].dis = w;

    h[u] = num;

}



void dfs(int x)

{

    if(flag) return;

    vis[x] = 1;

    for(int i = h[x]; i != 0; i = e[i].next)

    {

        int t = pos[x] + e[i].dis;

        if(pos[e[i].to] == inf) pos[e[i].to] = t, dfs(e[i].to);

        else if(t != pos[e[i].to]) {flag = 1; return;}

    }

}



int main()

{

    cin >> n >> m;

    for(int i = 1; i <= m; i++)

    {

        int a = read(), b = read(), c = read();

        add(a, b, c), add(b, a, -c);

        pos[a] = pos[b] = inf;

        obj[++cnt] = a, obj[++cnt] = b;

    }

    sort(obj + 1, obj + 1 + cnt);

    cnt = unique(obj + 1, obj + 1 + cnt) - obj - 1;

    for(int i = 1; i <= cnt; i++)

        if(!vis[obj[i]])

        {

            flag = 0;

            pos[obj[i]] = 0;

            dfs(obj[i]);

            if(flag) {cout << "No"; return 0;}

        }

    cout << "Yes";

    return 0;

}
// Slower C++ solution:
#include<bits/stdc++.h>

using namespace std;

int n,m,dis[200001],l,r,d;

bool Error,f[200001];

struct edge {

	int to,cost;

	edge(int a=0,int b=0) {

		to=a;

		cost=b;

	}

};

vector<edge> path[200001];

void spfa(int x) {

	for(int i=0; i<path[x].size(); i++) {

		edge e=path[x][i];

		if(f[e.to])

			if(e.cost+dis[x]!=dis[e.to]) {

				Error=true;

				return;

			} else continue;

		f[e.to]=true;

		dis[e.to]=dis[x]+e.cost;

		spfa(e.to);

		if(Error) return;

	}

}

int main() {

	cin>>n>>m;

	for(int i=0; i<m; i++) {

		scanf("%d%d%d",&l,&r,&d);

		path[l].push_back(edge(r,d));

		path[r].push_back(edge(l,-d));

	}

	for(int i=0; i<n; i++) {

		if(!f[i]) {

			spfa(i);

			if(Error) break;

		}

	}

	if(!Error) printf("Yes");

	else printf("No");

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 6.493818357865707x):
#include <iostream>

#include <cstdio>

#include <algorithm>

#define N 400005

#define inf 0x7fffffff

using namespace std;



struct E {int next, to, dis;} e[N];

int n, m, num, flag, cnt;

int h[N], a[N], pos[N], obj[N];

bool vis[N];



int read()

{

    int x = 0; char c = getchar();

    while(c < '0' || c > '9') c = getchar();

    while(c >= '0' && c <= '9') {x = x * 10 + c - '0'; c = getchar();}

    return x;

}



void add(int u, int v, int w)

{

    e[++num].next = h[u];

    e[num].to = v;

    e[num].dis = w;

    h[u] = num;

}



void dfs(int x)

{

    if(flag) return;

    vis[x] = 1;

    for(int i = h[x]; i != 0; i = e[i].next)

    {

        int t = pos[x] + e[i].dis;

        if(pos[e[i].to] == inf) pos[e[i].to] = t, dfs(e[i].to);

        else if(t != pos[e[i].to]) {flag = 1; return;}

    }

}



int main()

{

    cin >> n >> m;

    for(int i = 1; i <= m; i++)

    {

        int a = read(), b = read(), c = read();

        add(a, b, c), add(b, a, -c);

        pos[a] = pos[b] = inf;

        obj[++cnt] = a, obj[++cnt] = b;

    }

    sort(obj + 1, obj + 1 + cnt);

    cnt = unique(obj + 1, obj + 1 + cnt) - obj - 1;

    for(int i = 1; i <= cnt; i++)

        if(!vis[obj[i]])

        {

            flag = 0;

            pos[obj[i]] = 0;

            dfs(obj[i]);

            if(flag) {cout << "No"; return 0;}

        }

    cout << "Yes";

    return 0;

}
// Slower C++ solution:
#include<cstdio>

#include<iostream>

#include<cstring>

using namespace std;

struct node_ {

	int v,c,next;

} node[3000001];

int head[1000001],e;

void addnode(int u,int v,int c) {

	e++;

	node[e].c=c;

	node[e].v=v;

	node[e].next=head[u];

	head[u]=e;

}

int n,m;

bool b[1000001],flag;

int d[1000001];

int L,R,D;

bool dfs(int x) {

	b[x]=1;

	for(int i=head[x]; i!=0; i=node[i].next) {

		int y=node[i].v,c=node[i].c;

		if(d[y]>d[x]+c) {

			if(b[y]) return 1;

			d[y]=d[x]+c;

			if(dfs(y))return 1;

		}

	}

	b[x]=0;

	return 0;

}

int main() {

	scanf("%d%d",&n,&m);

	for(int i=0; i<m; i++) {

		scanf("%d%d%d",&L,&R,&D);

		addnode(R,L,D);

		addnode(L,R,-D);

	}

	for(int i=1; i<=n; i++) {

		addnode(0,i,0);

	}

	memset(b,0,sizeof(b));

	memset(d,1000000,sizeof(d));

	d[0]=0;

	if(dfs(0)) printf("No\n");

	else printf("Yes\n");

	return 0;

}

// Faster C++ solution for the same problem (measured speedup: 6.160772903715492x):
#include <iostream>

#include <cstdio>

#include <algorithm>

#define N 400005

#define inf 0x7fffffff

using namespace std;



struct E {int next, to, dis;} e[N];

int n, m, num, flag, cnt;

int h[N], a[N], pos[N], obj[N];

bool vis[N];



int read()

{

    int x = 0; char c = getchar();

    while(c < '0' || c > '9') c = getchar();

    while(c >= '0' && c <= '9') {x = x * 10 + c - '0'; c = getchar();}

    return x;

}



void add(int u, int v, int w)

{

    e[++num].next = h[u];

    e[num].to = v;

    e[num].dis = w;

    h[u] = num;

}



void dfs(int x)

{

    if(flag) return;

    vis[x] = 1;

    for(int i = h[x]; i != 0; i = e[i].next)

    {

        int t = pos[x] + e[i].dis;

        if(pos[e[i].to] == inf) pos[e[i].to] = t, dfs(e[i].to);

        else if(t != pos[e[i].to]) {flag = 1; return;}

    }

}



int main()

{

    cin >> n >> m;

    for(int i = 1; i <= m; i++)

    {

        int a = read(), b = read(), c = read();

        add(a, b, c), add(b, a, -c);

        pos[a] = pos[b] = inf;

        obj[++cnt] = a, obj[++cnt] = b;

    }

    sort(obj + 1, obj + 1 + cnt);

    cnt = unique(obj + 1, obj + 1 + cnt) - obj - 1;

    for(int i = 1; i <= cnt; i++)

        if(!vis[obj[i]])

        {

            flag = 0;

            pos[obj[i]] = 0;

            dfs(obj[i]);

            if(flag) {cout << "No"; return 0;}

        }

    cout << "Yes";

    return 0;

}
// Slower C++ solution:
#include<bits/stdc++.h>

using namespace std;

const int MAXN=100007;

typedef long long ll;

struct node {

    int v,w;

    node(int x=0,int y=0) {

        v=x,w=y;

    }

};

int deg[MAXN],X,n,m,x1,x2,y,tot[MAXN];

ll pos[MAXN];

bool vis[MAXN];

char c;

vector<node> edge[MAXN];

inline char nc(){

	static char buf[100000],*p1=buf,*p2=buf;

	return p2==p1&&(p2=(p1=buf)+fread(buf,1,100000,stdin),p1==p2)?EOF:*p1++;

}

int read() {

    X=0,c=nc();

    while(!isdigit(c))c=nc();

    while(isdigit(c))X=(X<<1)+(X<<3)+c-'0',c=nc();

    return X;

}

bool ok;

bool check(int &u) {

    vis[u]=true;

    for(int i=0; i<tot[u]; i++) {

        if(vis[edge[u][i].v]) {

            if(pos[edge[u][i].v]-edge[u][i].w!=pos[u])return false;

        } else {

            pos[edge[u][i].v]=pos[u]+edge[u][i].w;

            if(!check(edge[u][i].v))return false;

            else continue;

        }

    }

    return true;

}

int main() {

        n=read(),m=read();

        if(!m){

            puts("Yes");

            return 0;

        }

        for(int i=0; i<m; i++) {

            x1=read(),x2=read(),y=read();

            tot[x1]++;

            deg[x2]++;

            edge[x1].push_back(node(x2,y));

        }

        for(int i=0; i<n; i++)if(!deg[i]&&tot[i]) {

                ok=1;

                if(!check(i)) {

                    puts("No");

                    return 0;

                }

            };

        if(!ok) {

            puts("No");

            return 0;

        }

        puts("Yes");

        return 0;

}

// Faster C++ solution for the same problem (measured speedup: 3.52993041252367x):
#include <iostream>

#include <cstdio>

#include <algorithm>

#define N 400005

#define inf 0x7fffffff

using namespace std;



struct E {int next, to, dis;} e[N];

int n, m, num, flag, cnt;

int h[N], a[N], pos[N], obj[N];

bool vis[N];



int read()

{

    int x = 0; char c = getchar();

    while(c < '0' || c > '9') c = getchar();

    while(c >= '0' && c <= '9') {x = x * 10 + c - '0'; c = getchar();}

    return x;

}



void add(int u, int v, int w)

{

    e[++num].next = h[u];

    e[num].to = v;

    e[num].dis = w;

    h[u] = num;

}



void dfs(int x)

{

    if(flag) return;

    vis[x] = 1;

    for(int i = h[x]; i != 0; i = e[i].next)

    {

        int t = pos[x] + e[i].dis;

        if(pos[e[i].to] == inf) pos[e[i].to] = t, dfs(e[i].to);

        else if(t != pos[e[i].to]) {flag = 1; return;}

    }

}



int main()

{

    cin >> n >> m;

    for(int i = 1; i <= m; i++)

    {

        int a = read(), b = read(), c = read();

        add(a, b, c), add(b, a, -c);

        pos[a] = pos[b] = inf;

        obj[++cnt] = a, obj[++cnt] = b;

    }

    sort(obj + 1, obj + 1 + cnt);

    cnt = unique(obj + 1, obj + 1 + cnt) - obj - 1;

    for(int i = 1; i <= cnt; i++)

        if(!vis[obj[i]])

        {

            flag = 0;

            pos[obj[i]] = 0;

            dfs(obj[i]);

            if(flag) {cout << "No"; return 0;}

        }

    cout << "Yes";

    return 0;

}