# include using namespace std; using ll = long long; using ull = unsigned long long; const double pi = acos(-1); templateconstexpr T inf() { return ::std::numeric_limits::max(); } templateconstexpr T hinf() { return inf() / 2; } template T_char TL(T_char cX) { return tolower(cX); } template T_char TU(T_char cX) { return toupper(cX); } template bool chmin(T& a,T b) { if(a > b){a = b; return true;} return false; } template bool chmax(T& a,T b) { if(a < b){a = b; return true;} return false; } template bool is_sqare(T a) { if(floor(sqrt(a)) * floor(sqrt(a)) == a){ return true; }return false; } int popcnt(unsigned long long n) { int cnt = 0; for (int i = 0; i < 64; i++)if ((n >> i) & 1)cnt++; return cnt; } int d_sum(ll n) { int ret = 0; while (n > 0) { ret += n % 10; n /= 10; }return ret; } int d_cnt(ll n) { int ret = 0; while (n > 0) { ret++; n /= 10; }return ret; } ll gcd(ll a, ll b) { if (b == 0)return a; return gcd(b, a%b); }; ll lcm(ll a, ll b) { ll g = gcd(a, b); return a / g*b; }; template using dijk = priority_queue, greater>; # define all(qpqpq) (qpqpq).begin(),(qpqpq).end() # define UNIQUE(wpwpw) (wpwpw).erase(unique(all((wpwpw))),(wpwpw).end()) # define LOWER(epepe) transform(all((epepe)),(epepe).begin(),TL) # define UPPER(rprpr) transform(all((rprpr)),(rprpr).begin(),TU) # define rep(i,upupu) for(ll i = 0, i##_len = (upupu);(i) < (i##_len);(i)++) # define reps(i,opopo) for(ll i = 1, i##_len = (opopo);(i) <= (i##_len);(i)++) # define len(x) ((ll)(x).size()) # define bit(n) (1LL << (n)) # define pb push_back # define exists(c, e) ((c).find(e) != (c).end()) #ifdef LOCAL # include "_debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif struct INIT{ INIT(){ std::ios::sync_with_stdio(false); std::cin.tie(0); cout << fixed << setprecision(20); } }INIT; struct GabowEdmonds { struct edge { int to, idx; }; vector< vector< edge > > g; vector< pair< int, int > > edges; vector< int > mate, label, first; queue< int > que; GabowEdmonds(int n) : g(n + 1), mate(n + 1), label(n + 1, -1), first(n + 1) {} void add_edge(int u, int v) { ++u, ++v; g[u].push_back((edge) {v, (int) (edges.size() + g.size())}); g[v].push_back((edge) {u, (int) (edges.size() + g.size())}); edges.emplace_back(u, v); } int find(int x) { if(label[first[x]] < 0) return first[x]; first[x] = find(first[x]); return first[x]; } void rematch(int v, int w) { int t = mate[v]; mate[v] = w; if(mate[t] != v) return; if(label[v] < (int)g.size()) { mate[t] = label[v]; rematch(label[v], t); } else { int x = edges[label[v] - g.size()].first; int y = edges[label[v] - g.size()].second; rematch(x, y); rematch(y, x); } } void assign_label(int x, int y, int num) { int r = find(x); int s = find(y); int join = 0; if(r == s) return; label[r] = -num; label[s] = -num; while(true) { if(s != 0) swap(r, s); r = find(label[mate[r]]); if(label[r] == -num) { join = r; break; } label[r] = -num; } int v = first[x]; while(v != join) { que.push(v); label[v] = num; first[v] = join; v = first[label[mate[v]]]; } v = first[y]; while(v != join) { que.push(v); label[v] = num; first[v] = join; v = first[label[mate[v]]]; } } bool augment_check(int u) { que = queue< int >(); first[u] = 0; label[u] = 0; que.push(u); while(!que.empty()) { int x = que.front(); que.pop(); for(auto e : g[x]) { int y = e.to; if(mate[y] == 0 && y != u) { mate[y] = x; rematch(x, y); return true; } else if(label[y] >= 0) { assign_label(x, y, e.idx); } else if(label[mate[y]] < 0) { label[mate[y]] = x; first[mate[y]] = y; que.push(mate[y]); } } } return false; } vector< pair< int, int > > max_matching() { for(int i = 1; i < (int)g.size(); i++) { if(mate[i] != 0) continue; if(augment_check(i)) label.assign(g.size(), -1); } vector< pair< int, int > > ret; for(int i = 1; i < (int)g.size(); i++) { if(i < mate[i]) ret.emplace_back(i - 1, mate[i] - 1); } return ret; } }; void solve(){ int n, m; cin >> n >> m; GabowEdmonds ge(n); map, int> mp; rep(i, m){ int a, b; cin >> a >> b; a--, b--; ge.add_edge(a, b); mp[{a, b}] = mp[{b, a}] = i; } auto ret = ge.max_matching(); cout << len(ret) << endl; for(auto [a, b] : ret){ cout << mp[{a, b}]+1 << endl; } } int main(){ int t = 1; //cin >> t; while(t--)solve(); }