#include using namespace std; using ll = long long; using ld = long double; using pll = pair; using vl = vector; template using vec = vector; template using vv = vec>; template using vvv = vv>; template using minpq = priority_queue, greater>; #define all(a) (a).begin(),(a).end() #define rep(i, n) for (ll i = 0; i < (n); ++i) #define reps(i, l, r) for(ll i = (l); i < (r); ++i) #define rrep(i, l, r) for(ll i = (r)-1; i >= (l); --i) #define sz(x) (ll) (x).size() template bool chmax(T &a, const T& b) { return a < b ? a = b, true : false; } template bool chmin(T &a, const T& b) { return a > b ? a = b, true : false; } struct Edge { ll from, to, cost; Edge (ll from, ll to, ll cost = 1ll) : from(from), to(to), cost(cost) {} }; struct Graph { vector> G; Graph() = default; explicit Graph(ll N) : G(N) {} size_t size() const { return G.size(); } void add(ll from, ll to, ll cost = 1ll, bool direct = 0) { G[from].emplace_back(from, to, cost); if (!direct) G[to].emplace_back(to, from, cost); } vector &operator[](const int &k) { return G[k]; } }; using Edges = vector; const ll mod = 998244353; // 1000000007; struct mint { ll x; mint(ll y = 0) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} mint &operator+=(const mint &p) { if ((x += p.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint &p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint &p) { x = (ll)(1ll * x * p.x % mod); return *this; } mint &operator/=(const mint &p) { *this *= p.inv(); return *this; } mint operator-() const { return mint(-x); } mint operator+(const mint &p) const { return mint(*this) += p; } mint operator-(const mint &p) const { return mint(*this) -= p; } mint operator*(const mint &p) const { return mint(*this) *= p; } mint operator/(const mint &p) const { return mint(*this) /= p; } bool operator==(const mint &p) const { return x == p.x; } bool operator!=(const mint &p) const { return x != p.x; } friend ostream &operator<<(ostream &os, const mint &p) { return os << p.x; } friend istream &operator>>(istream &is, mint &a) { ll t; is >> t; a = mint(t); return (is); } mint inv() const { return pow(mod - 2); } mint pow(ll n) const { mint ret(1), mul(x); while (n > 0) { if (n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } }; template struct WeightedUnionFind { vl par; vec wd; WeightedUnionFind() = default; explicit WeightedUnionFind(size_t n) : par(n, -1), wd(n) {} ll find(int i) { if (par[i] < 0) return i; const ll root = find(par[i]); wd[i] += wd[par[i]]; return (par[i] = root); } void merge(int a, int b, Type w) { w += weight(a), w -= weight(b); a = find(a), b = find(b); if (a == b) return; if (-par[a] < -par[b]) { swap(a, b); w = -w; } par[a] += par[b]; par[b] = a; wd[b] = w; } Type diff(int a, int b) { return (weight(b) - weight(a)); } bool same(int a, int b) { return (find(a) == find(b)); } int size(int i) { return -par[find(i)]; } Type weight(int i) { find(i); return wd[i]; } }; void solve(){ ll N, M; cin >> N >> M; vl l(M), r(M), w(M); vv G(N); rep(i, M){ cin >> l[i] >> r[i] >> w[i]; l[i]--; r[i]--; w[i]--; G[l[i]].push_back({r[i], w[i]}); G[r[i]].push_back({l[i], -w[i]}); } vec dp(N, {0, 4e18}); auto merge = [&](pll& a, pll b)->bool{ a = pll{max(a.first, b.first), min(a.second, b.second)}; return (a.first > a.second); }; dp[0] = {1, 1}; deque Q; Q.push_back(0); vl vis(N, 0); vis[0] = 1; while(!Q.empty()){ ll p = Q.front(); Q.pop_front(); for(pll e : G[p]){ ll nx = e.first, vl = e.second; pll pr = dp[p]; pr.first += vl, pr.second += vl; if(merge(dp[nx], pr)){ cout << "No" << endl; return; } if(!vis[nx]){ Q.push_front(nx); vis[nx] = 1; } } if(p + 1 < N){ pll pr = dp[p]; pr.second++; if(merge(dp[p+1], pr)){ cout << "No" << endl; return; } if(!vis[p+1]) Q.push_back(p+1), vis[p+1] = 1; } if(p > 0){ pll pr = dp[p]; pr.first--; if(merge(dp[p-1], pr)){ cout << "No" << endl; return; } if(!vis[p-1]) Q.push_back(p-1), vis[p-1] = 1; } } rep(i, N-1){ { pll pr = dp[i]; pr.second++; merge(dp[i+1], pr); } { pll pr = dp[i+1]; pr.first--; merge(dp[i], pr); } } cout << "Yes" << endl; rep(i, N){ cout << dp[i].first << " \n"[i == N-1]; } return; } int main(){ cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); int t = 1; // cin >> t; while(t--){ solve(); } }