#include using ll = long long; using uint = unsigned int; using ull = unsigned long long; using ld = long double; template using max_heap = std::priority_queue; template using min_heap = std::priority_queue, std::greater>; constexpr int popcount(const ull v) { return v ? __builtin_popcountll(v) : 0; } constexpr int log2p1(const ull v) { return v ? 64 - __builtin_clzll(v) : 0; } constexpr int lsbp1(const ull v) { return __builtin_ffsll(v); } constexpr int clog(const ull v) { return v ? log2p1(v - 1) : 0; } constexpr ull ceil2(const ull v) { return 1ULL << clog(v); } constexpr ull floor2(const ull v) { return v ? (1ULL << (log2p1(v) - 1)) : 0ULL; } constexpr bool btest(const ull mask, const int ind) { return (mask >> ind) & 1ULL; } template void bset(T& mask, const int ind) { mask |= ((T)1 << ind); } template void breset(T& mask, const int ind) { mask &= ~((T)1 << ind); } template void bflip(T& mask, const int ind) { mask ^= ((T)1 << ind); } template void bset(T& mask, const int ind, const bool b) { (b ? bset(mask, ind) : breset(mask, ind)); } template bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); } template bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); } template constexpr T inf_v = std::numeric_limits::max() / 4; template constexpr Real pi_v = Real{3.141592653589793238462643383279502884}; constexpr ull TEN(const int n) { return n == 0 ? 1ULL : TEN(n - 1) * 10ULL; } template struct fix : F { fix(F&& f) : F{std::forward(f)} {} template auto operator()(Args&&... args) const { return F::operator()(*this, std::forward(args)...); } }; template auto nd_array(int const (&szs)[n], const T x = T{}) { if constexpr (i == n) { return x; } else { return std::vector(szs[i], nd_array(szs, x)); } } class printer { public: printer(std::ostream& os_ = std::cout) : os{os_} { os << std::fixed << std::setprecision(15); } template int operator()(const T& v) { return os << v, 0; } template int operator()(const std::vector& vs) { for (int i = 0; i < (int)vs.size(); i++) { os << (i ? " " : ""), this->operator()(vs[i]); } return 0; } template int operator()(const std::vector>& vss) { for (int i = 0; i < (int)vss.size(); i++) { os << (0 <= i or i + 1 < (int)vss.size() ? "\n" : ""), this->operator()(vss[i]); } return 0; } template int operator()(const T& v, const Args&... args) { return this->operator()(v), os << ' ', this->operator()(args...), 0; } template int ln(const Args&... args) { return this->operator()(args...), os << '\n', 0; } template int el(const Args&... args) { return this->operator()(args...), os << std::endl, 0; } template int fmt(const std::string& s, const Args&... args) { return rec(s, 0, args...); } private: int rec(const std::string& s, int index) { return os << s.substr(index, s.size()), 0; } template int rec(const std::string& s, int index, const T& v, const Args&... args) { return index == s.size() ? 0 : s[index] == '%' ? (this->operator()(v), rec(s, index + 1, args...)) : (os << s[index], rec(s, index + 1, v, args...)); } std::ostream& os; }; printer out; class scanner { public: scanner(std::istream& is_ = std::cin) : is{is_} { is.tie(nullptr), std::ios::sync_with_stdio(false); } template T val() { static T v; return is >> v, v; } template T val(const T offset) { return val() - offset; } template std::vector vec(const int n) { std::vector vs(n); for (auto& v : vs) { is = val(); } return vs; } template std::vector vec(const int n, const T offset) { std::vector vs(n); for (auto& v : vs) { is = val(offset); } return vs; } template std::vector> vvec(const int n0, const int n1) { std::vector> vss(n0); for (auto& vs : vss) { vs = vec(n1); } return vss; } template std::vector> vvec(const int n0, const int n1, const T offset) { std::vector> vss(n0); for (auto& vs : vss) { vs = vec(n1, offset); } return vss; } template auto tup() { return std::tuple...>{val()...}; } template auto tup(const Args&... offsets) { return std::tuple...>{val(offsets)...}; } private: std::istream& is; }; scanner in; # define SHOW(...) static_cast(0) template struct flow { using capacity_type = T; flow(const int v) : sz(v), edges(v) {} void add_edge(const int from, const int to, const capacity_type cap) { edges[from].push_back({to, edges[to].size(), cap, false}), edges[to].push_back({from, edges[from].size() - 1, 0, true}); } struct edge { int to, rev; capacity_type cap; const bool is_rev; }; const std::vector& operator[](const int i) const { return edges[i]; } std::vector& operator[](const int i) { return edges[i]; } friend std::ostream& operator<<(std::ostream& os, const flow& f) { os << "[\n"; for (int i = 0; i < f.size(); i++) { for (const auto& e : f[i]) { if (not e.is_rev) { os << i << "->" << e.to << ":" << e.cap << "\n"; } } } return (os << "]\n"); } int size() const { return sz; } private: const int sz; std::vector> edges; }; template T dinic(flow& flow, const int s, const int t, const T max_cap = inf_v) { const int sz = flow.size(); std::vector level(sz, sz), iter(sz, 0); auto bfs = [&, sz](const T base) { std::fill(level.begin(), level.end(), sz); std::queue q; q.push(s), level[s] = 0; while (not q.empty()) { const int s = q.front(); q.pop(); for (const auto& e : flow[s]) { if (e.cap < base or level[e.to] != sz) { continue; } level[e.to] = level[s] + 1, q.push(e.to); } } }; auto dfs = [&, sz](auto&& self, const int s, const T base, const T f) -> T { if (s == t) { return f; } T ans = 0; for (int& i = iter[s]; i < flow[s].size(); i++) { auto& e = flow[s][i]; if (e.cap < base or level[e.to] == sz or level[s] >= level[e.to]) { continue; } const T d = self(self, e.to, base, std::min(f - ans, e.cap)); if (d == 0) { continue; } e.cap -= d, flow[e.to][e.rev].cap += d, ans += d; if (f - ans < base) { break; } } return ans; }; T f = 0; for (T base = floor2(max_cap); base >= 1;) { bfs(base); if (level[t] == sz) { base >>= 1; continue; } std::fill(iter.begin(), iter.end(), 0); const T df = dfs(dfs, s, base, inf_v); f += df; } return f; } int main() { const auto [L, R, M] = in.tup(); std::vector as(M), bs(M); using pii = std::pair; std::multimap mp; std::vector ds(L + R, 0); for (int i = 0; i < M; i++) { std::tie(as[i], bs[i]) = in.tup(0, -L); ds[as[i]]++, ds[bs[i]]++; mp.insert({{as[i], bs[i]}, i}); } const int K = *std::min_element(ds.begin(), ds.end()); std::vector ans(M, -1); std::set es; for (int i = 0; i < M; i++) { es.insert(i); } for (int k = 0; k < K; k++) { flow f(L + R + 2); const int S = L + R, T = L + R + 1; for (int i = 0; i < L; i++) { f.add_edge(S, i, 1); } for (int i = 0; i < R; i++) { f.add_edge(i + L, T, 1); } for (const int e : es) { const int a = as[e], b = bs[e]; f.add_edge(a, b, 1); } dinic(f, S, T); for (int i = 0; i < L; i++) { bool matched = false; for (const auto& e : f[i]) { const int to = e.to; if (e.is_rev) { continue; } if (to == S or to == T) { continue; } if (e.cap == 0) { matched = true; const int ei = mp.find({i, to})->second; mp.erase(mp.find({i, to})); ans[ei] = k; ds[i]--, ds[to]--; es.erase(ei); } } if (not matched) { int maxto = -1, max = -1; for (const auto& e : f[i]) { const int to = e.to; if (to == S or to == T) { continue; } if (e.cap == 1) { if (chmax(max, ds[to])) { maxto = to; } } } const int ei = mp.find({i, maxto})->second; mp.erase(mp.find({i, maxto})); ans[ei] = k; es.erase(ei); } } } for (const int e : es) { ans[e] = 0; } out.ln(K); for (const int an : ans) { out.ln(an); } return 0; }