import java.io.BufferedInputStream; import java.io.BufferedReader; import java.io.FileReader; import java.io.FileWriter; import java.io.IOException; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.*; public class _484_InputTest { void range(int v, int low, int high) { if (v < low || v > high) { throw new RuntimeException(); } } final Scanner in = new Scanner(System.in); int read1(String s) { if (!Character.isDigit(s.charAt(0))) throw new RuntimeException(); if (!Character.isDigit(s.charAt(s.length() - 1))) throw new RuntimeException(); return Integer.parseInt(s); } int[] readN(String s, int n) { if (!Character.isDigit(s.charAt(0))) throw new RuntimeException(); if (!Character.isDigit(s.charAt(s.length() - 1))) throw new RuntimeException(); String[] s2 = s.split(" "); if (s2.length != n) throw new RuntimeException(); int[] res = new int[n]; for (int i = 0; i < n; i++) res[i] = read1(s2[i]); return res; } /// MAIN CODE public void run() throws IOException { // int TEST_CASE = Integer.parseInt(new String(io.nextLine()).trim()); int TEST_CASE = 1; while(TEST_CASE-- != 0) { int[] nmq = readN(in.nextLine(), 3); int n = nmq[0]; int m = nmq[1]; int Q = nmq[2]; range(n, 2, 100000); range(m, 1, 200000); range(Q, 2, 200000); SimpleAdjListGraph g = new SimpleAdjListGraph(n, 2*m); for (int i = 0; i < m; i++) { int[] AB = readN(in.nextLine(), 2); int A = AB[0]; int B = AB[1]; range(A, 1, n); range(B, 1, n); g.addEdge(A - 1, B - 1); g.addEdge(B - 1, A - 1); } List br = new ArrayList<>(); List> tecomp = new ArrayList<>(); g.bridgeNoRec(br, tecomp); cmp = new int[n]; for (int i = 0; i < tecomp.size(); i++) { for (int t : tecomp.get(i)) { cmp[t] = i; } } tree = new HeavyLightDecomposition(tecomp.size()); for (int e : br) { tree.addEdge(cmp[g.to[e^0]], cmp[g.to[e^1]]); tree.addEdge(cmp[g.to[e^1]], cmp[g.to[e^0]]); } tree.init(); set = new TreeSet[cmp.length]; for (int i = 0; i < cmp.length; i++) { set[i] = new TreeSet<>(); set[i].add(-1); } seg = new Seg2[tree.getHeavyEdgeCount()]; for (int i = 0; i < tree.getHeavyEdgeCount(); i++) { seg[i] = new Seg2(tree.getHeavyEdgeLength(i)); for (int j = 0; j < tree.getHeavyEdgeLength(i); j++) { seg[i].update(j, -1); } } TreeSet duplicateCheck = new TreeSet<>(); while (Q-- > 0) { int[] t3 = readN(in.nextLine(), 3); int t = t3[0]; range(t, 1, 2); if (t == 1) { int u = t3[1]; int w = t3[2]; range(u, 1, n); range(w, 1, 1_000_000_000); if (!duplicateCheck.add(w)) { throw new RuntimeException(); } int v = cmp[u-1]; mp.remove(set[v].last()); set[v].add(w); mp.put(set[v].last(), v); seg[tree.getHeavyEdgeId(v)].update(tree.getIndexInHeavyEdge(v), set[v].last()); } else if (t == 2) { int S = t3[1]; int T = t3[2]; range(S, 1, n); range(T, 1, n); int ans = query(cmp[S-1], cmp[T-1]); remove(ans); System.out.println(ans); } } } } int query(int u, int v) { int ans = -1; while (true) { int hi = tree.getHeavyEdgeId(u); int hj = tree.getHeavyEdgeId(v); if (hi == hj) { int i0 = tree.getIndexInHeavyEdge(u); int i1 = tree.getIndexInHeavyEdge(v); int val = seg[hi].get(Math.min(i0, i1), Math.max(i0, i1) + 1); ans = Math.max(ans, val); break; } int di = tree.getHeavyEdgeDepth(hi); int dj = tree.getHeavyEdgeDepth(hj); if (di >= dj) { int val = seg[hi].get(0, tree.getIndexInHeavyEdge(u) + 1); ans = Math.max(ans, val); u = tree.getParentVertex(hi); } else { int val = seg[hj].get(0, tree.getIndexInHeavyEdge(v) + 1); ans = Math.max(ans, val); v = tree.getParentVertex(hj); } } return ans; } void remove(int ans) { if (ans == -1) return; int v = mp.get(ans); mp.remove(ans); set[v].pollLast(); mp.put(set[v].last(), v); seg[tree.getHeavyEdgeId(v)].update(tree.getIndexInHeavyEdge(v), set[v].last()); } void put(int v, int w) { mp.remove(set[v].last()); set[v].add(w); mp.put(set[v].last(), v); seg[tree.getHeavyEdgeId(v)].update(tree.getIndexInHeavyEdge(v), set[v].last()); } int[] cmp; HeavyLightDecomposition tree; TreeMap mp = new TreeMap<>(); TreeSet[] set; Seg2[] seg; static public class HeavyLightDecomposition { final G g; public HeavyLightDecomposition(final int V) { g = new G(V, 2 * (V - 1)); } void addEdge(int s, int t) { g.addEdge(s, t); } int getHeavyEdgeCount() { return g.heavyEdgeCount; } int getHeavyEdgeLength(int heavyEdgeId) { return g.heavyEdge[heavyEdgeId].length; } int getHeavyEdgeDepth(int heavyEdgeId) { return g.heavyEdgeDepth[heavyEdgeId]; } int getHeavyEdgeId(int vertexIndex) { return g.belongHeavyEdgeIndex[vertexIndex]; } int getIndexInHeavyEdge(int vertexIndex) { return g.heavyEdgeIndex[vertexIndex]; } int getParentVertex(int heavyEdgeId) { return g.heavyEdgeParent[g.heavyEdge[heavyEdgeId][0]]; } void init() { g.init(); } static class G { int m, V, E; int[] head, next, to, childSize, parent; int[] heavyEdgeIndex; int[] belongHeavyEdgeIndex; int[] heavyEdgeParent; int[][] heavyEdge; int[] heavyEdgeVertexCount; int[] heavyEdgeDepth; int heavyEdgeCount; boolean[] vis; int[] st; public G(int V, int E) { head = new int[V]; childSize = new int[V]; heavyEdgeIndex = new int[V]; belongHeavyEdgeIndex = new int[V]; heavyEdgeVertexCount = new int[V]; heavyEdgeDepth = new int[V]; heavyEdgeParent = new int[V]; parent = new int[V]; next = new int[E]; to = new int[E]; vis = new boolean[head.length]; st = new int[head.length + 1]; this.V = V; this.E = E; clear(); } public void clear() { m = 0; Arrays.fill(head, -1); } public void addEdge(int s, int t) { next[m] = head[s]; head[s] = m; to[m++] = t; } public void init() { calcChildSize(0); initHeavyEdge(0); } public void calcChildSize(final int root) { int sp = 0; parent[root] = -1; st[sp++] = root; while(sp != 0) { final int v = st[--sp]; if(!vis[v]) { st[sp++] = v; childSize[v]++; vis[v] = true; for(int e = head[v]; e != -1; e = next[e]) { final int u = to[e]; if(!vis[u]) { parent[u] = v; st[sp++] = u; } } } else if(parent[v] != -1) { childSize[parent[v]] += childSize[v]; } } } public void initHeavyEdge(final int root) { int sp = 0; st[sp++] = root; Arrays.fill(vis, false); heavyEdgeIndex[root] = 0; belongHeavyEdgeIndex[root] = heavyEdgeCount++; heavyEdgeParent[root] = -1; while(sp != 0) { final int v = st[--sp]; if(!vis[v]) { st[sp++] = v; vis[v] = true; heavyEdgeVertexCount[belongHeavyEdgeIndex[v]]++; // System.err.println(belongHeavyEdgeIndex[v] + " " + heavyEdgeVertexCount[belongHeavyEdgeIndex[v]]); int maxChildIndex = -1; int maxChildSize = 0; for(int e = head[v]; e != -1; e = next[e]) { final int u = to[e]; if(!vis[u]) { if(maxChildSize < childSize[u]) { maxChildIndex = u; maxChildSize = childSize[u]; } // System.err.println(v + " -> " + u + " " + maxChildIndex); st[sp++] = u; } } for(int e = head[v]; e != -1; e = next[e]) { final int u = to[e]; if(!vis[u] && maxChildIndex != u) { heavyEdgeIndex[u] = 0; heavyEdgeDepth[heavyEdgeCount] = heavyEdgeDepth[belongHeavyEdgeIndex[v]] + 1; // heavyEdgeVertexCount[heavyEdgeCount] = 1; belongHeavyEdgeIndex[u] = heavyEdgeCount++; heavyEdgeParent[u] = v; } } if(maxChildIndex != -1) { heavyEdgeIndex[maxChildIndex] = heavyEdgeIndex[v] + 1; belongHeavyEdgeIndex[maxChildIndex] = belongHeavyEdgeIndex[v]; heavyEdgeParent[maxChildIndex] = heavyEdgeParent[v]; } } } heavyEdge = new int[heavyEdgeCount][]; for(int i = 0; i < heavyEdgeCount; i++) { heavyEdge[i] = new int[heavyEdgeVertexCount[i]]; } for(int i = 0; i < V; i++) { final int j = belongHeavyEdgeIndex[i]; // System.err.println(i + " " + j + " " + heavyEdgeIndex[i] + " " + heavyEdge[j].length); heavyEdge[j][heavyEdgeIndex[i]] = i; } } } } static class Seg2 { final int n; final int[] seg; public Seg2(final int n) { this.n = Integer.highestOneBit(n) << 1; seg = new int[this.n << 1]; } int get(int l, int r) { return get(l, r, 0, 0, n); } int get(int l, int r, int k, int curL, int curR) { if(curR <= l || curL >= r) return -1; if(l <= curL && curR <= r) { return seg[k]; } final int curM = (curL + curR) / 2; int lv = get(l, r, 2 * k + 1, curL, curM); int rv = get(l, r, 2 * k + 2, curM, curR); return Math.max(lv, rv); } void update(int i, int v) { i += n - 1; seg[i] = v; while(i != 0) { i = (i - 1) / 2; seg[i] = Math.max(seg[2*i+1], seg[2*i+2]); } } } static class SimpleAdjListGraph { int m, V, E; int[] head, next, to; public SimpleAdjListGraph(int V, int E) { head = new int[V]; next = new int[E]; to = new int[E]; this.V = V; this.E = E; clear(); } public void clear() { m = 0; Arrays.fill(head, -1); } public void addEdge(int s, int t) { next[m] = head[s]; head[s] = m; to[m++] = t; } // 橋,二重辺連結成分分解(非再帰版) // http://www.prefield.com/algorithm/graph/bridge.html List br; List> tecomp; Stack roots; Stack S; boolean[] inS; int[] num; int[] stv; int[] stu; int[] stt; int[] parent; void bridgeNoRec(List br, List> tecomp) { this.br = br; this.tecomp = tecomp; final int n = head.length; num = new int[n]; inS = new boolean[n]; roots = new Stack(); S = new Stack(); stv = new int[V+2*E]; stu = new int[V+2*E]; stt = new int[V+2*E]; parent = new int[V]; int time = 0; for(int i = 0; i < n; i++) if(num[i] == 0) { visitBridgeNoRec(i, n, time); br.remove(br.size() - 1); } } private void visitBridgeNoRec(int v, int u, int time) { int sp = 0; stv[sp] = v; stu[sp] = u; stt[sp] = time; parent[sp] = -1; sp++; while(sp != 0) { sp--; time = stt[sp]; u = stu[sp]; v = stv[sp]; if(num[v] != 0) { int eu = -1; for(int e = head[v]; e != -1; e = next[e]) { int w = to[e]; if(w == u) { eu = e; } if(parent[w] != v && u != w && inS[w]) { while(num[roots.peek()] > num[w]) { roots.pop(); } } } if(v == roots.peek()) { br.add(eu); List xs = new ArrayList(); while(true) { int w = S.pop(); inS[w] = false; xs.add(w); if(v == w) break; } tecomp.add(xs); roots.pop(); } } else { num[v] = ++time; S.push(v); inS[v] = true; roots.push(v); stv[sp] = v; stu[sp] = u; stt[sp] = time; sp++; for(int e = head[v]; e != -1; e = next[e]) { int w = to[e]; if(num[w] == 0) { stv[sp] = w; stu[sp] = v; stt[sp] = time; parent[w] = v; sp++; // visitBridge(w, v, br, tecomp, roots, S, inS, num, time); } } } } } } /// TEMPLATE static int gcd(int n, int r) { return r == 0 ? n : gcd(r, n%r); } static long gcd(long n, long r) { return r == 0 ? n : gcd(r, n%r); } static void swap(T[] x, int i, int j) { T t = x[i]; x[i] = x[j]; x[j] = t; } static void swap(int[] x, int i, int j) { int t = x[i]; x[i] = x[j]; x[j] = t; } static void dump(Object... o) { System.err.println(Arrays.deepToString(o)); } void main() throws IOException { // IOFast.setFileIO("rle-size.in", "rle-size.out"); try { run(); } catch (EndOfFileRuntimeException e) { } } public static void main(String[] args) throws IOException { new _484_InputTest().main(); } static class EndOfFileRuntimeException extends RuntimeException { private static final long serialVersionUID = -8565341110209207657L; } static public class IOFast { private BufferedReader in = new BufferedReader(new InputStreamReader(System.in)); private PrintWriter out = new PrintWriter(System.out); void setFileIn(String ins) throws IOException { in.close(); in = new BufferedReader(new FileReader(ins)); } void setFileOut(String outs) throws IOException { out.flush(); out.close(); out = new PrintWriter(new FileWriter(outs)); } void setFileIO(String ins, String outs) throws IOException { setFileIn(ins); setFileOut(outs); } private static int pos, readLen; private static final char[] buffer = new char[1024 * 8]; private static char[] str = new char[500*8*2]; private static boolean[] isDigit = new boolean[256]; private static boolean[] isSpace = new boolean[256]; private static boolean[] isLineSep = new boolean[256]; static { for(int i = 0; i < 10; i++) { isDigit['0' + i] = true; } isDigit['-'] = true; isSpace[' '] = isSpace['\r'] = isSpace['\n'] = isSpace['\t'] = true; isLineSep['\r'] = isLineSep['\n'] = true; } public int read() throws IOException { if(pos >= readLen) { pos = 0; readLen = in.read(buffer); if(readLen <= 0) { throw new EndOfFileRuntimeException(); } } return buffer[pos++]; } public int nextInt() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; int ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; } public long nextLong() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; long ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; } public char nextChar() throws IOException { while(true) { final int c = read(); if(!isSpace[c]) { return (char)c; } } } int reads(int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } if(str.length == len) { char[] rep = new char[str.length * 3 / 2]; System.arraycopy(str, 0, rep, 0, str.length); str = rep; } str[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; } int reads(char[] cs, int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } cs[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; } public char[] nextLine() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isLineSep); try { if(str[len-1] == '\r') { len--; read(); } } catch(EndOfFileRuntimeException e) { ; } return Arrays.copyOf(str, len); } public String nextString() throws IOException { return new String(next()); } public char[] next() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); return Arrays.copyOf(str, len); } // public int next(char[] cs) throws IOException { int len = 0; cs[len++] = nextChar(); len = reads(cs, len, isSpace); return len; } public double nextDouble() throws IOException { return Double.parseDouble(nextString()); } public long[] nextLongArray(final int n) throws IOException { final long[] res = new long[n]; for(int i = 0; i < n; i++) { res[i] = nextLong(); } return res; } public int[] nextIntArray(final int n) throws IOException { final int[] res = new int[n]; for(int i = 0; i < n; i++) { res[i] = nextInt(); } return res; } public int[][] nextIntArray2D(final int n, final int k) throws IOException { final int[][] res = new int[n][]; for(int i = 0; i < n; i++) { res[i] = nextIntArray(k); } return res; } public int[][] nextIntArray2DWithIndex(final int n, final int k) throws IOException { final int[][] res = new int[n][k+1]; for(int i = 0; i < n; i++) { for(int j = 0; j < k; j++) { res[i][j] = nextInt(); } res[i][k] = i; } return res; } public double[] nextDoubleArray(final int n) throws IOException { final double[] res = new double[n]; for(int i = 0; i < n; i++) { res[i] = nextDouble(); } return res; } } }