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#include <bits/stdc++.h> #define all(vec) vec.begin(),vec.end() #define CLR(i,a) memset(i,a,sizeof(i)) #define pb push_back #define SZ(a) ((int) a.size()) #define FOR(i, a, b) for (int i = (a); i <= (b); ++i) #define ROF(i, a, b) for (int i = (a); i >= (b); --i) #define debug(var) cerr << #var <<":"<<var<<"\n"; #define lson(var) (var<<1) #define rson(var) ((var<<1)+1)
using namespace std;
using ll = long long;using ull = unsigned long long; using DB=double;using LD=long double; using i128 = __int128;using pdd = pair<DB,DB>;using plb = pair<ll,bool>; using pll = pair<ll,ll>; using arr3 = array<ll,3> ;using arr2 = array<ll,2>; constexpr ll MAXN=static_cast<ll>(1e6)+10,INF=static_cast<ll>(1e17)+9; constexpr ll mod=static_cast<ll>(1e9)+7; constexpr double eps=1e-8;
ll N,M,Q,X,K,lT,A[MAXN];
inline void init(){ } vector<ll> g[MAXN]; struct DSU { vector < int > fa, siz; int ln; DSU(int n) { ln = n; fa.resize(ln + 5, 0), siz.resize(ln + 5, 0); FOR(i, 1, n) { fa[i] = i; siz[i] = 1; } } int find(int x) { while (fa[x] != x) { x = fa[x]; fa[x] = fa[fa[x]]; } return x; } bool same(int x, int y) { return find(x) == find(y); } bool merge(int x, int y) { x = find(x); y = find(y); if (x == y) { return false; } siz[x] += siz[y]; fa[y] = x; return true; } int size(int x) { return siz[find(x)]; } int countFa() { int res = 0; FOR(i, 1, ln) { if (fa[i] == i) ++res; } return res; } }; inline void solve(){ cin>>N>>M>>Q; init(); DSU dsu(N); FOR(i,1,M){ ll u,v; cin>>u>>v; g[u].pb(v); g[v].pb(u); dsu.merge(u,v); } vector<bool> vis(N+5,false); vector<ll> color(N+5,0); vector<bool> isji(N+5,false); auto dfs=[&](auto &&dfs,ll u,ll col,ll fa)->void{ vis[u]=true; color[u]=col; FOR(i,0,SZ(g[u])-1){ ll v=g[u][i]; if(v==fa) continue; if(vis[v]){ ll diff=col-color[v]; if(diff%2==0){ isji[dsu.find(v)]=true; } continue; } dfs(dfs,v,1+col,u); } }; #ifdef LOCAL cerr << "OK" << '\n'; #endif FOR(i,1,N){ if(vis[i]){ continue; } dfs(dfs,i,1,0); #ifdef LOCAL debug(i); #endif } #ifdef LOCAL cerr << "OK" << '\n'; FOR(i,1,N){ cerr<<color[i]<<" "; } cerr<<"\n"; FOR(i,1,N){ cerr<<isji[dsu.find(i)]<<" "; } #endif FOR(i,1,Q){ ll s,t,x; cin>>s>>t>>x; if(dsu.same(s,t)==false){ cout<<"expand\n"; continue; } if(dsu.size(s)==1 && x!=0){ cout<<"expand\n"; continue; } if(isji[dsu.find(s)]){ cout<<"tribool\n"; continue; } ll diff=abs(color[s]-color[t]); if(diff%2==1 && x%2==1){ cout<<"tribool\n"; continue; } if(diff%2==0 && x%2==0){ cout<<"tribool\n"; continue; } cout<<"expand\n"; } }
int main() { ios::sync_with_stdio(false); cin.tie(0);cout.tie(0); solve(); return 0; }
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