package contest170609; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.InputMismatchException; import java.util.List; import java.util.PriorityQueue; import java.util.Queue; public class E { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int n = ni(), m = ni(), Q = ni(); int[] from = new int[m]; int[] to = new int[m]; for(int i = 0;i < m;i++){ from[i] = ni()-1; to[i] = ni()-1; } int[][] g = packU(n, from, to); int[] clus = decomposeToBECC(g); int[][] cg = condense(g, clus); int[][] pars = parents3(cg, 0); int[] par = pars[0], ord = pars[1], dep = pars[2]; HeavyLightDecomposition hld = new HeavyLightDecomposition(cg, par, ord, dep); List> pqs = new ArrayList<>(); for(int i = 0;i < cg.length;i++)pqs.add(new PriorityQueue<>()); SegmentTreeRMQPos[] sts = new SegmentTreeRMQPos[hld.cluspath.length]; for(int i = 0;i < hld.cluspath.length;i++){ sts[i] = new SegmentTreeRMQPos(hld.cluspath[i].length); } for(int z = 0;z < Q;z++){ int type = ni(); if(type == 1){ int u = clus[ni()-1], w = ni(); Integer cur = pqs.get(u).peek(); pqs.get(u).add(-w); if(cur == null || -w < cur){ sts[hld.clus[u]].update(hld.clusiind[u], -w); } }else{ int a = clus[ni()-1], b = clus[ni()-1]; int lca = hld.lca(a, b); int tempmin = 1; int argmin = -1; { int x = a; int cx = hld.clus[x]; // cluster int ind = hld.clusiind[x]; // pos in cluster while(cx != hld.clus[lca]){ int minval = sts[cx].minx(0, ind+1); if(minval < tempmin){ tempmin = minval; argmin = hld.cluspath[cx][sts[cx].minpos]; } int con = par[hld.cluspath[cx][0]]; ind = hld.clusiind[con]; cx = hld.clus[con]; } int minval = sts[cx].minx(hld.clusiind[lca], ind+1); if(minval < tempmin){ tempmin = minval; argmin = hld.cluspath[cx][sts[cx].minpos]; } } { int x = b; int cx = hld.clus[x]; // cluster int ind = hld.clusiind[x]; // pos in cluster while(cx != hld.clus[lca]){ int minval = sts[cx].minx(0, ind+1); if(minval < tempmin){ tempmin = minval; argmin = hld.cluspath[cx][sts[cx].minpos]; } int con = par[hld.cluspath[cx][0]]; ind = hld.clusiind[con]; cx = hld.clus[con]; } int minval = sts[cx].minx(hld.clusiind[lca], ind+1); if(minval < tempmin){ tempmin = minval; argmin = hld.cluspath[cx][sts[cx].minpos]; } } out.println(argmin == -1 ? -1 : -tempmin); if(argmin != -1){ pqs.get(argmin).poll(); Integer cur = pqs.get(argmin).peek(); if(cur == null){ sts[hld.clus[argmin]].update(hld.clusiind[argmin], Integer.MAX_VALUE); }else{ sts[hld.clus[argmin]].update(hld.clusiind[argmin], cur); } } } } } public static class SegmentTreeRMQPos { public int M, H, N; public int[] st; public int[] pos; public SegmentTreeRMQPos(int n) { N = n; M = Integer.highestOneBit(Math.max(N-1, 1))<<2; H = M>>>1; st = new int[M]; pos = new int[M]; for(int i = 0;i < N;i++)pos[H+i] = i; Arrays.fill(st, 0, M, Integer.MAX_VALUE); for(int i = H-1;i >= 1;i--)propagate(i); } public SegmentTreeRMQPos(int[] a) { N = a.length; M = Integer.highestOneBit(Math.max(N-1, 1))<<2; H = M>>>1; st = new int[M]; pos = new int[M]; for(int i = 0;i < N;i++){ st[H+i] = a[i]; pos[H+i] = i; } Arrays.fill(st, H+N, M, Integer.MAX_VALUE); for(int i = H-1;i >= 1;i--)propagate(i); } public void update(int pos, int x) { st[H+pos] = x; for(int i = (H+pos)>>>1;i >= 1;i >>>= 1)propagate(i); } private void propagate(int i) { if(st[2*i] <= st[2*i+1]){ st[i] = st[2*i]; pos[i] = pos[2*i]; }else{ st[i] = st[2*i+1]; pos[i] = pos[2*i+1]; } } public int minpos; public int minval; public int minx(int l, int r){ minval = Integer.MAX_VALUE; minpos = -1; if(l >= r)return minval; while(l != 0){ int f = l&-l; if(l+f > r)break; int v = st[(H+l)/f]; if(v < minval){ minval = v; minpos = pos[(H+l)/f]; } l += f; } while(l < r){ int f = r&-r; int v = st[(H+r)/f-1]; if(v < minval){ minval = v; minpos = pos[(H+r)/f-1]; } r -= f; } return minval; } public int min(int l, int r){ minpos = -1; minval = Integer.MAX_VALUE; min(l, r, 0, H, 1); return minval; } private void min(int l, int r, int cl, int cr, int cur) { if(l <= cl && cr <= r){ if(st[cur] < minval){ minval = st[cur]; minpos = pos[cur]; } }else{ int mid = cl+cr>>>1; if(cl < r && l < mid)min(l, r, cl, mid, 2*cur); if(mid < r && l < cr)min(l, r, mid, cr, 2*cur+1); } } } public static class HeavyLightDecomposition { public int[] clus; public int[][] cluspath; public int[] clusiind; public int[] par, dep; public HeavyLightDecomposition(int[][] g, int[] par, int[] ord, int[] dep) { init(g, par, ord, dep); } public void init(int[][] g, int[] par, int[] ord, int[] dep) { clus = decomposeToHeavyLight(g, par, ord); cluspath = clusPaths(clus, ord); clusiind = clusIInd(cluspath, g.length); this.par = par; this.dep = dep; } public static int[] decomposeToHeavyLight(int[][] g, int[] par, int[] ord) { int n = g.length; int[] size = new int[n]; Arrays.fill(size, 1); for(int i = n-1;i > 0;i--)size[par[ord[i]]] += size[ord[i]]; int[] clus = new int[n]; Arrays.fill(clus, -1); int p = 0; for(int i = 0;i < n;i++){ int u = ord[i]; if(clus[u] == -1)clus[u] = p++; // centroid path (not heavy path) int argmax = -1; for(int v : g[u]){ if(par[u] != v && (argmax == -1 || size[v] > size[argmax]))argmax = v; } if(argmax != -1)clus[argmax] = clus[u]; } return clus; } public static int[][] clusPaths(int[] clus, int[] ord) { int n = clus.length; int[] rp = new int[n]; int sup = 0; for(int i = 0;i < n;i++){ rp[clus[i]]++; sup = Math.max(sup, clus[i]); } sup++; int[][] row = new int[sup][]; for(int i = 0;i < sup;i++)row[i] = new int[rp[i]]; for(int i = n-1;i >= 0;i--){ row[clus[ord[i]]][--rp[clus[ord[i]]]] = ord[i]; } return row; } public static int[] clusIInd(int[][] clusPath, int n) { int[] iind = new int[n]; for(int[] path : clusPath){ for(int i = 0;i < path.length;i++){ iind[path[i]] = i; } } return iind; } public int lca(int x, int y) { int rx = cluspath[clus[x]][0]; int ry = cluspath[clus[y]][0]; while(clus[x] != clus[y]){ if(dep[rx] > dep[ry]){ x = par[rx]; rx = cluspath[clus[x]][0]; }else{ y = par[ry]; ry = cluspath[clus[y]][0]; } } return clusiind[x] > clusiind[y] ? y : x; } public int ancestor(int x, int v) { while(x != -1){ if(v <= clusiind[x])return cluspath[clus[x]][clusiind[x]-v]; v -= clusiind[x]+1; x = par[cluspath[clus[x]][0]]; } return x; } ///// templates /** * xとその先祖ancについて経路x-ancでのクエリを処理するテンプレ * @param x * @param anc */ public void query(int x, int anc) { int cx = clus[x]; // cluster int ind = clusiind[x]; // pos in cluster while(cx != clus[anc]){ // TODO クラスタcxの0~indについて逆向きにクエリ処理 // st[cx].add(0, ind+1, v); int con = par[cluspath[cx][0]]; ind = clusiind[con]; cx = clus[con]; } // TODO clusiind[anc]~indについて逆向きにクエリ処理 // st[cx].add(clusiind[anc], ind+1, v); } } public static int lca2(int a, int b, int[][] spar, int[] depth) { if (depth[a] < depth[b]) { b = ancestor(b, depth[b] - depth[a], spar); } else if (depth[a] > depth[b]) { a = ancestor(a, depth[a] - depth[b], spar); } if (a == b) return a; int sa = a, sb = b; for (int low = 0, high = depth[a], t = Integer.highestOneBit(high), k = Integer .numberOfTrailingZeros(t); t > 0; t >>>= 1, k--) { if ((low ^ high) >= t) { if (spar[k][sa] != spar[k][sb]) { low |= t; sa = spar[k][sa]; sb = spar[k][sb]; } else { high = low | t - 1; } } } return spar[0][sa]; } protected static int ancestor(int a, int m, int[][] spar) { for (int i = 0; m > 0 && a != -1; m >>>= 1, i++) { if ((m & 1) == 1) a = spar[i][a]; } return a; } public static int[][] logstepParents(int[] par) { int n = par.length; int m = Integer.numberOfTrailingZeros(Integer.highestOneBit(n - 1)) + 1; int[][] pars = new int[m][n]; pars[0] = par; for (int j = 1; j < m; j++) { for (int i = 0; i < n; i++) { pars[j][i] = pars[j - 1][i] == -1 ? -1 : pars[j - 1][pars[j - 1][i]]; } } return pars; } public static int[][] parents3(int[][] g, int root) { int n = g.length; int[] par = new int[n]; Arrays.fill(par, -1); int[] depth = new int[n]; depth[0] = 0; int[] q = new int[n]; q[0] = root; for (int p = 0, r = 1; p < r; p++) { int cur = q[p]; for (int nex : g[cur]) { if (par[cur] != nex) { q[r++] = nex; par[nex] = cur; depth[nex] = depth[cur] + 1; } } } return new int[][] { par, q, depth }; } public static int[][] condense(int[][] g, int[] clus) { int n = g.length; int m = 0; for(int i = 0;i < n;i++)m = Math.max(m, clus[i]); m++; int[] cp = new int[m]; for(int i = 0;i < n;i++){ cp[clus[i]] += g[i].length; } int[][] c = new int[m][]; for(int i = 0;i < m;i++){ c[i] = new int[cp[i]]; } for(int i = 0;i < n;i++){ for(int j = 0;j < g[i].length;j++){ c[clus[i]][--cp[clus[i]]] = clus[g[i][j]]; } } for(int i = 0;i < m;i++){ Arrays.sort(c[i]); int jp = 0; for(int j = 0;j < c[i].length;j++){ if((j == 0 || c[i][j] != c[i][j-1]) && c[i][j] != i){ c[i][jp++] = c[i][j]; } } c[i] = Arrays.copyOf(c[i], jp); } return c; } public static int[] decomposeToBECC(int[][] g) { int n = g.length; boolean[] visited = new boolean[n]; int[] ord = new int[n]; int[] low = new int[n]; int[] ids = new int[n]; int[] inds = new int[n]; int[] parct = new int[n]; int pos = 0; for(int i = 0;i < n;i++){ if(!visited[i]){ ids[0] = i; inds[0] = 0; int sp = 1; while(sp > 0){ int cur = ids[sp-1]; if(inds[sp-1] == 0){ visited[cur] = true; ord[cur] = low[cur] = pos++; parct[sp-1] = 0; } if(inds[sp-1] == g[cur].length){ if(sp-2 >= 0)low[ids[sp-2]] = Math.min(low[ids[sp-2]], low[cur]); sp--; continue; } int next = g[cur][inds[sp-1]]; if(!visited[next]){ ids[sp] = next; inds[sp] = 0; inds[sp-1]++; sp++; continue; }else if(sp-2 >= 0 && (next != ids[sp-2] || ++parct[sp-1] >= 2)){ low[cur] = Math.min(low[cur], ord[next]); } inds[sp-1]++; } } } int[] clus = new int[n]; Arrays.fill(clus, -1); int[] q = new int[n]; int cnum = 0; for(int i = 0;i < n;i++){ if(clus[i] == -1){ int p = 0; q[p++] = i; clus[i] = cnum++; for(int r = 0;r < p;r++){ int cur = q[r]; for(int next : g[cur]){ if(clus[next] == -1){ clus[next] = ord[cur] < low[next] ? cnum++ : clus[cur]; q[p++] = next; } } } } } return clus; } static int[][] packU(int n, int[] from, int[] to) { int[][] g = new int[n][]; int[] p = new int[n]; for (int f : from) p[f]++; for (int t : to) p[t]++; for (int i = 0; i < n; i++) g[i] = new int[p[i]]; for (int i = 0; i < from.length; i++) { g[from[i]][--p[from[i]]] = to[i]; g[to[i]][--p[to[i]]] = from[i]; } return g; } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new E().run(); } private byte[] inbuf = new byte[1024]; public int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }