#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define rep(i,n) for(int i=0;i<n;i++)
#define rrep(i,n) for(int i=n-1;i>=0;i--)
#define rrep2(i,n,k) for(int i=n-1;i>=n-k;i--)
#define vll(n,i) vector<long long>(n,i)
#define v2ll(n,m,i) vector<vector<long long>>(n,vll(m,i))
#define v3ll(n,m,k,i) vector<vector<vector<long long>>>(n,v2ll(m,k,i))
#define v4ll(n,m,k,l,i) vector<vector<vector<vector<long long>>>>(n,v3ll(m,k,l,i))
#define all(v) v.begin(),v.end()
#define chmin(k,m) k = min(k,m)
#define chmax(k,m) k = max(k,m)
#define Pr pair<ll,ll>
#define Tp tuple<int,int,int>
#define riano_ std::ios::sync_with_stdio(false);std::cin.tie(nullptr)
using Graph = vector<vector<int>>;

const ll mod = 998244353;
template<uint64_t mod>
struct modint{
    uint64_t val;
    constexpr modint(const int64_t val_=0) noexcept:val((val_%int64_t(mod)+int64_t(mod))%int64_t(mod)){}
    constexpr modint operator-() const noexcept{
        return modint(*this)=mod-val;
    }
    constexpr modint operator+(const modint rhs) const noexcept{
        return modint(*this)+=rhs;
    }
    constexpr modint operator-(const modint rhs) const noexcept{
        return modint(*this)-=rhs;
    }
    constexpr modint operator*(const modint rhs) const noexcept{
        return modint(*this)*=rhs;
    }
    constexpr modint operator/(const modint rhs) const noexcept{
        return modint(*this)/=rhs;
    }
    constexpr modint &operator+=(const modint rhs) noexcept{
        val+=rhs.val;
        val-=((val>=mod)?mod:0);
        return (*this);
    }
    constexpr modint &operator-=(const modint rhs) noexcept{
        val+=((val<rhs.val)?mod:0);
        val-=rhs.val;
        return (*this);
    }
    constexpr modint &operator*=(const modint rhs) noexcept{
        val=val*rhs.val%mod;
        return (*this);
    }
    constexpr modint &operator/=(modint rhs) noexcept{
        uint64_t ex=mod-2;
        modint now=1;
        while(ex){
            now*=((ex&1)?rhs:1);
            rhs*=rhs,ex>>=1;
        }
        return (*this)*=now;
    }
    modint & operator++(){
        val++;
        if (val == mod) val = 0;
        return *this;
    }
    modint operator++(int){
        modint<mod> res = *this;
        ++*this;
        return res;
    }
    constexpr bool operator==(const modint rhs) noexcept{
        return val==rhs.val;
    }
    constexpr bool operator!=(const modint rhs) noexcept{
        return val!=rhs.val;
    }
    friend constexpr ostream &operator<<(ostream& os,const modint x) noexcept{
        return os<<(x.val);
    }
    friend constexpr istream &operator>>(istream& is,modint& x) noexcept{
        uint64_t t;
        is>>t,x=t;
        return is;
    }
};
typedef modint<mod> mint;
#define vm(n,i) vector<mint>(n,i)
#define v2m(n,m,i) vector<vector<mint>>(n,vm(m,i))
#define v3m(n,m,k,i) vector<vector<vector<mint>>>(n,v2m(m,k,i))
#define v4m(n,m,k,l,i) vector<vector<vector<vector<mint>>>>(n,v3m(m,k,l,i))


//ration operation stack
//作成中
struct range_operaion_stack {
	vector<tuple<ll,ll,ll>> range;
	range_operaion_stack(ll start,ll size,ll inf) {
		range.push_back(make_tuple(inf,start,start));
	}

    ll add(ll i,ll x){
        int n = range.size() -1;
        ll k = get<0>(range[n]);
        ll i1 = i;
        while(k>=x){     //右からの区間最小値更新の場合（最大値は-1倍して使う）
            ll j1 = get<1>(range[n]);
            ll j2 = get<2>(range[n]);
            i1 = j1;
            range.pop_back();
            n = range.size() -1;
            k = get<0>(range[n]);
        }
        range.push_back(make_tuple(x,i1,i));
        return i1;
    }

    //s以上の区間の端を返す
    ll id(ll s){
        ll k = lower_bound(all(range),make_tuple(s,-1,-1))-range.begin();
        if(k==range.size()) return -1;
        return get<1>(range[k]);
    }
	
};
    

//Dinic
template< typename flow_t >
struct Dinic {
  const flow_t INF;

  struct edge {
    int to;
    flow_t cap;
    int rev;
    bool isrev;
    int idx;
  };

  vector< vector< edge > > graph;
  vector< int > min_cost, iter;

  Dinic(int V) : INF(numeric_limits< flow_t >::max()), graph(V) {}

  void add_edge(int from, int to, flow_t cap, int idx = -1) {
    graph[from].emplace_back((edge) {to, cap, (int) graph[to].size(), false, idx});
    graph[to].emplace_back((edge) {from, 0, (int) graph[from].size() - 1, true, idx});
  }

  bool bfs(int s, int t) {
    min_cost.assign(graph.size(), -1);
    queue< int > que;
    min_cost[s] = 0;
    que.push(s);
    while(!que.empty() && min_cost[t] == -1) {
      int p = que.front();
      que.pop();
      for(auto &e : graph[p]) {
        if(e.cap > 0 && min_cost[e.to] == -1) {
          min_cost[e.to] = min_cost[p] + 1;
          que.push(e.to);
        }
      }
    }
    return min_cost[t] != -1;
  }

  flow_t dfs(int idx, const int t, flow_t flow) {
    if(idx == t) return flow;
    for(int &i = iter[idx]; i < graph[idx].size(); i++) {
      edge &e = graph[idx][i];
      if(e.cap > 0 && min_cost[idx] < min_cost[e.to]) {
        flow_t d = dfs(e.to, t, min(flow, e.cap));
        if(d > 0) {
          e.cap -= d;
          graph[e.to][e.rev].cap += d;
          return d;
        }
      }
    }
    return 0;
  }

  flow_t max_flow(int s, int t) {
    flow_t flow = 0;
    while(bfs(s, t)) {
      iter.assign(graph.size(), 0);
      flow_t f = 0;
      while((f = dfs(s, t, INF)) > 0) flow += f;
    }
    return flow;
  }

  vector<Pr> output(ll N) {
      vector<Pr> v;
    for(int i = 0; i < graph.size(); i++) {
        
      for(auto &e : graph[i]) {
        if(e.isrev) continue;
        auto &rev_e = graph[e.to][e.rev];
        if(i!=0&&i<=N&&rev_e.cap>0){
            v.push_back(make_pair(i,e.to));
        }
        //cout << i << "->" << e.to << " (flow: " << rev_e.cap << "/" << e.cap + rev_e.cap << ")" << endl;
      }
    }
    return v;
  }
};


//SCC 各頂点にSCC順の番号を格納して返す
void dfs_scc(Graph &G,vector<long long> &perm_back,vector<bool> &vis,long long i,int j){
    vis[i] = true;
    for(long long x:G[i]){
        if(vis[x]) continue;
        dfs_scc(G,perm_back,vis,x,j);
    }
    if(j==-1) perm_back.push_back(i);
    else perm_back[i] = j;
}
vector<long long> scc(Graph &G){
    int N = G.size();
    vector<long long> perm_back;
    vector<bool> vis(N,false);
    for(int i=0;i<N;i++){
        if(vis[i]) continue;
        dfs_scc(G,perm_back,vis,i,-1);
    }
    reverse(perm_back.begin(),perm_back.end());
    Graph rev(N);
    for(int i=0;i<N;i++){
        for(long long x:G[i]){
            rev[x].push_back(i);
        }
    }
    int k = 0;
    vector<long long> scc_label(N);
    vis.assign(N,false);
    for(int i=0;i<N;i++){
        int s = perm_back[i];
        if(vis[s]) continue;
        dfs_scc(rev,scc_label,vis,s,k);
        k++;
    }
    return scc_label;
}
    

    

int main() {
    riano_; ll ans = 0;
    ll N,M,L; cin >> N >> M >> L;
    //main関数内
    Dinic<ll> G(N+M+2);
    Graph G2(N+M+2);
    vector<Pr> ed;
    map<Pr,ll> lab;
    rep(i,L){
        ll s,t; cin >> s >> t;
        G.add_edge(s,N+t,1);
        ed.push_back(make_pair(s,N+t));
        lab[make_pair(s,t+N)] = i;
    }
    rep(i,N){
        G.add_edge(0,i+1,1);
    }
    rep(i,M){
        G.add_edge(N+i+1,N+M+1,1);
    }
    G.max_flow(0,N+M+1);
    auto v = G.output(N);
    // for(auto[x,y]:v){
    //     cout << x << " " << y << endl;
    // }
    bool rev[L];
    rep(i,L) rev[i] = true;
    for(Pr p:v){
        rev[lab[p]] = false;
    }
    auto in = vll(N+M+1,0);
    rep(i,L){
        if(rev[i]){
            auto[s,t] = ed[i];
            G2[t].push_back(s); in[s]++;
        }
        else{
            auto[s,t] = ed[i];
            G2[s].push_back(t); in[t]++;
        }
    }
    //BFS (普通の幅優先探索)
    queue<int> go; ll dist[N+M+1]; // ll par[N+1];
    rep(i,N+M+1){
        dist[i] = 2000000000;
    }
    
    for(int i=N+1;i<=N+M;i++){
        if(in[i]==0){
            go.push(i);
        }
    }
    while(!go.empty()){
        int s = go.front(); go.pop();
        for(int x:G2[s]){
            if(dist[x]<=dist[s]+1) continue;
            if(s<=N){
                rev[lab[make_pair(s,x)]] = true;
            }
            dist[x] = dist[s] + 1;
            go.push(x);
        }
    }

    //main関数内
    auto v2 = scc(G2);

    rep(i,L){
        if(rev[i]){
            cout << "Yes" << "\n";
        }
        else{
            auto[s,t] = ed[i];
            if(v2[s]==v2[t]) cout << "Yes" << "\n";
            else cout << "No" << "\n";
        }
    }

}