#include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template int LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template int UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(b bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template T square(T a){return a * a;} #include using mint = atcoder::modint998244353; namespace po167{ struct UF { using _F = int; int _n; std::vector<_F> wei; std::vector q; int component; UF(int n):_n(n), wei(n), component(n), par(n){ for (int i = 0; i < n; i++){ wei[i] =1, par[i] = i; } } void intialize(){ for (auto x : q){ wei[root(x)] = 1; par[x] = x; } component = (int)par.size(); q = {}; } //根っこを返す int root(int a){ assert(0 <= a && a < _n); if (a == par[a]) return a; return par[a] = root(par[a]); } //trueなら1,falseなら0 int same(int a, int b){ assert(0 <= a && a < _n); assert(0 <= b && b < _n); if(root(a) == root(b)) return 1; else return 0; } _F size(int a){ return wei[root(a)]; } //a,bが違う根っこの元なら結合する,結合したらtrueを返す bool unite(int a,int b){ a = root(a), b = root(b); if (a == b) return false; if (wei[a] < wei[b]) std::swap(a, b); par[b] = a; q.push_back(b); wei[a] += wei[b]; component--; return true; } private: std::vector par; }; } using po167::UF; std::vector> tree_in(int N){ std::vector> G(N); for(int i=0;i>a>>b; a--,b--; G[a].push_back(b); G[b].push_back(a); } return G; } std::tuple,std::vector,std::vector> tree_order_pare_depth(std::vector> &G,int root){ int n=G.size(); std::vector order={root},pare(n,-1),depth(n); pare[root]=-2; for(int i=0;i tree_diameter_path(std::vector> &G){ int n=G.size(); auto r=(std::get<0>(tree_order_pare_depth(G,0))).at(n-1); std::vector order,pare,depth,ans; tie(order,pare,depth)=tree_order_pare_depth(G,r); int ind=order[n-1]; while(ind!=-2){ ans.push_back(ind); ind=pare[ind]; } return ans; } void solve(); // CITRUS CURIO CITY / FREDERIC int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; // cin >> t; rep(i, 0, t) solve(); } void solve(){ int N, M; cin >> N >> M; vector B(N); rep(i, 0, N){ int b; cin >> b; B[i] = b; } UF T(N); vector U(M), V(M), use(M); vector> G(N); vector ans(M); rep(i, 0, M){ cin >> U[i] >> V[i]; U[i]--, V[i]--; if (T.unite(U[i], V[i])){ G[U[i]].push_back(V[i]); G[V[i]].push_back(U[i]); use[i] = 1; } } auto [order, pare, depth] = tree_order_pare_depth(G, 0); mint sum = 0; rep(i, 0, N){ depth[i] = depth[i] % 2; if (depth[i]) sum += B[i]; else sum -= B[i]; } rep(i, 0, M) if (depth[U[i]] == depth[V[i]]){ if (depth[U[i]]){ ans[i] = sum / 2; B[U[i]] -= ans[i]; B[V[i]] -= ans[i]; sum = 0; } else{ ans[i] = -sum / 2; B[U[i]] -= ans[i]; B[V[i]] -= ans[i]; sum = 0; } } if (sum != 0){ cout << "-1\n"; return; } vector pare_ind(N); rep(i, 0, M) if (use[i]){ if (pare[U[i]] != V[i]) swap(U[i], V[i]); pare_ind[U[i]] = i; } reverse(all(order)); order.pop_back(); for (auto id : order){ mint tmp = B[id]; // cout << id << " " << B[id].val() << endl; // cout << pare_ind[id] << endl; B[pare[id]] -= tmp; ans[pare_ind[id]] = tmp; } assert(B[0] == 0); rep(i, 0, M){ cout << ans[i].val() << (i + 1 == M ? "\n" : " "); } }