#include #define REP_(i, a_, b_, a, b, ...) \ for (int i = (a), END_##i = (b); i < END_##i; ++i) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define ALL(x) std::begin(x), std::end(x) using i64 = long long; template inline bool chmax(T &a, U b) { return a < b and ((a = std::move(b)), true); } template inline bool chmin(T &a, U b) { return a > b and ((a = std::move(b)), true); } template inline int ssize(const T &a) { return (int)std::size(a); } template std::istream &operator>>(std::istream &is, std::vector &a) { for (auto &x : a) is >> x; return is; } template std::ostream &operator<<(std::ostream &os, const std::pair &a) { return os << "(" << a.first << ", " << a.second << ")"; } template std::ostream &print_seq(const Container &a, std::string_view sep = " ", std::string_view ends = "\n", std::ostream &os = std::cout) { auto b = std::begin(a), e = std::end(a); for (auto it = std::begin(a); it != e; ++it) { if (it != b) os << sep; os << *it; } return os << ends; } template struct is_iterable : std::false_type {}; template struct is_iterable())), decltype(std::end(std::declval()))>> : std::true_type {}; template ::value && !std::is_same::value && !std::is_same::value>> std::ostream &operator<<(std::ostream &os, const T &a) { return print_seq(a, ", ", "", (os << "{")) << "}"; } #ifdef ENABLE_DEBUG #include "debug_dump.hpp" #else #define DUMP(...) #endif using namespace std; struct UnionFind { int n; mutable std::vector parent; // positive: parent, negative: size int num_roots; explicit UnionFind(int sz) : n(sz), parent(sz, -1), num_roots(sz) {} bool unite(int x, int y) { x = find(x), y = find(y); if (x == y) return false; if (-parent[x] < -parent[y]) std::swap(x, y); parent[x] += parent[y]; parent[y] = x; --num_roots; return true; } int find(int v) const { if (parent[v] < 0) return v; return parent[v] = find(parent[v]); } int size(int v) const { return -parent[find(v)]; } bool same(int x, int y) const { return find(x) == find(y); } std::vector roots() const { std::vector res; res.reserve(num_roots); for (int i = 0; i < n; ++i) { if (parent[i] < 0) res.push_back(i); } return res; } }; // Returns the topogically sorted list of nodes. // Nodes with zero indegree come first. // Returns nullopt if the input graph is not a DAG. // Args: // g[a] = {b, c, d}; // directed adjacency list {a->b, a->c, a->d} optional> topological_sort(const vector> &g) { const int n = g.size(); vector indeg(n); for (int v = 0; v < n; ++v) { for (auto u : g[v]) ++indeg[u]; } deque q; for (int v = 0; v < n; ++v) { if (indeg[v] == 0) { q.emplace_back(v); } } vector res; while (not q.empty()) { auto v = q.front(); q.pop_front(); res.push_back(v); for (auto u : g[v]) { if (--indeg[u] == 0) { q.push_back(u); } } } if (int(res.size()) != n) { return nullopt; // not a DAG } return res; } template struct Compressed { std::vector values; explicit Compressed(std::vector v) : values(v) { std::sort(values.begin(), values.end()); values.erase(std::unique(values.begin(), values.end()), values.end()); } int size() const { return values.size(); } int index(T x) const { return std::lower_bound(values.begin(), values.end(), x) - values.begin(); } const T &value(int i) const { return values[i]; } }; auto solve() -> void { int n, m; cin >> n >> m; vector> g(n); UnionFind uf(n); REP(i, m) { int u, v; cin >> u >> v; --u, --v; g[u].push_back(v); uf.unite(u, v); } map> components; REP(i, n) { int r = uf.find(i); components[r].push_back(i); } DUMP(components); vector> edges; for (const auto &[r, nodes] : components) { if (ssize(nodes) <= 1) continue; Compressed cnodes(nodes); vector> p(cnodes.size()); for (auto u : nodes) { int v = cnodes.index(u); for (auto w : g[u]) { p[v].push_back(cnodes.index(w)); } } auto topo = topological_sort(p); if (topo.has_value()) { const auto &vs = topo.value(); REP(j, 1, ssize(vs)) { edges.emplace_back(cnodes.value(vs[j - 1]), cnodes.value(vs[j])); } } else { REP(j, 1, ssize(nodes)) { edges.emplace_back(nodes[j - 1], nodes[j]); edges.emplace_back(nodes.back(), nodes.front()); } } } cout << ssize(edges) << "\n"; for (const auto &[a, b] : edges) { cout << a + 1 << " " << b + 1 << "\n"; } } int main() { ios_base::sync_with_stdio(false), cin.tie(nullptr); int t = 1; REP(test_case, t) { solve(); } }