import java.io.*; import java.util.*; import java.math.*; // import java.awt.Point; public class Main { InputStream is; PrintWriter out; String INPUT = ""; static long mod = 1_000_000_007; int inf = Integer.MAX_VALUE; void solve(){ int n = ni(); tree = new HeavyLightDecomposition(n); UnionFind uf = new UnionFind(n); int[][] es = new int[n-1][]; for (int i = 0; i < n - 1; i++) { int a = ni(); int b = ni(); es[i] = new int[]{a,b}; uf.union(a, b); tree.addEdge(a, b); } tree.init(); seg = new Seg2[tree.getHeavyEdgeCount()]; for (int i = 0; i < seg.length; i++) { seg[i] = new Seg2(tree.getHeavyEdgeLength(i)); } // for (int[] e : es) { // if (tree.g.childSize[e[0]] < tree.g.childSize[e[1]]) { // int tmp = e[0]; // e[0] = e[1]; // e[1] = tmp; // } // } int q = ni(); while (q-- > 0) { char c = nc(); if (c == 'x') { int i = ni(); int x00 = ni(); int x01 = ni(); int x10 = ni(); int x11 = ni(); int e = tree.getHeavyEdgeId(es[i][1]); int j = tree.getIndexInHeavyEdge(es[i][1]); seg[e].update(j, new long[]{x00,x01,x10,x11}); } else if (c == 'g') { int u = ni(); int v = ni(); int ei = tree.getHeavyEdgeId(u); int ej = tree.getHeavyEdgeId(v); long[] ans = Seg2.id.clone(); while (true) { int idx = tree.getIndexInHeavyEdge(v); int left = ei == ej ? tree.getIndexInHeavyEdge(u) + 1 : 0; ans = Seg2.merge(seg[ej].get(left, idx + 1), ans); if (ej == ei) break; v = tree.getParentVertex(ej); ej = tree.getHeavyEdgeId(v); } out.println(ans[0] + " " + ans[1] + " " + ans[2] + " " + ans[3]); } } } HeavyLightDecomposition tree; Seg2[] seg; static class Seg2 { final int n; final long[][] seg; public Seg2(final int n) { this.n = Integer.highestOneBit(n) << 1; seg = new long[this.n << 1][]; Arrays.fill(seg, id); } static long[] merge(long[] l, long[] r) { long[] res = new long[4]; res[0] = (l[0] * r[0] + l[1] * r[2]) % mod; res[1] = (l[0] * r[1] + l[1] * r[3]) % mod; res[2] = (l[2] * r[0] + l[3] * r[2]) % mod; res[3] = (l[2] * r[1] + l[3] * r[3]) % mod; return res; } final static long[] id = new long[]{1,0,0,1,}; long[] get(int l, int r) { return get(l, r, 0, 0, n); } long[] get(int l, int r, int k, int curL, int curR) { if(curR <= l || curL >= r) return id; if(l <= curL && curR <= r) { return seg[k]; } final int curM = (curL + curR) / 2; return merge( get(l, r, 2 * k + 1, curL, curM), get(l, r, 2 * k + 2, curM, curR)); } void update(int i, long[] v) { i += n - 1; seg[i] = v; while(i != 0) { i = (i - 1) / 2; seg[i] = merge(seg[2*i+1], seg[2*i+2]); } } } static class UnionFind { private int[] data; public UnionFind(int size) { data = new int[size]; clear(); } public void clear() { Arrays.fill(data, -1); } public int root(int x) { return data[x] < 0 ? x : (data[x] = root(data[x])); } public void union(int x, int y) { if((x = root(x)) == (y = root(y))) { throw new RuntimeException(); } if(data[y] < data[x]) { final int t = x; x = y; y = t; } data[x] += data[y]; data[y] = x; } public boolean same(int x, int y) { return root(x) == root(y); } public int size(int x) { return -data[root(x)]; } } static public class HeavyLightDecomposition { final AdjListGraph g; public HeavyLightDecomposition(final int V) { g = new AdjListGraph(V, 2 * (V - 1)); } void addEdge(int s, int t) { g.addEdge(s, t); g.addEdge(t, s); } 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.initHeavyLightDecomposition(); } static class AdjListGraph { 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 AdjListGraph(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 initHeavyLightDecomposition() { calcChildSize(0); initHeavyEdge(0); } private 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]; } } } private 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; } } } } 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"); } public static void main(String[] args) throws Exception { new Main().run(); } private byte[] inbuf = new byte[1024]; private 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) && 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 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[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private int ni() { int num = 0, 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 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)); } }