結果
| 問題 |
No.650 行列木クエリ
|
| コンテスト | |
| ユーザー |
 uwi
|
| 提出日時 | 2018-02-09 22:54:07 |
| 言語 | Java (openjdk 23) |
| 結果 |
AC
|
| 実行時間 | 731 ms / 2,000 ms |
| コード長 | 11,137 bytes |
| コンパイル時間 | 4,470 ms |
| コンパイル使用メモリ | 90,672 KB |
| 実行使用メモリ | 82,520 KB |
| 最終ジャッジ日時 | 2024-10-09 08:55:54 |
| 合計ジャッジ時間 | 8,977 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge1 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 10 |
ソースコード
package contest180209;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;
public class E {
InputStream is;
PrintWriter out;
String INPUT = "";
void solve()
{
int n = ni();
int[] from = new int[n - 1];
int[] to = new int[n - 1];
for (int i = 0; i < n - 1; i++) {
from[i] = ni();
to[i] = ni();
}
int[][] g = packU(n, from, to);
int[][] pars = parents3(g, 0);
int[] par = pars[0], ord = pars[1], dep = pars[2];
HeavyLightDecomposition hld = new HeavyLightDecomposition(g, par, ord, dep);
SegmentTreeMatrix[] sts = new SegmentTreeMatrix[n];
for(int i = 0;i < hld.m;i++){
sts[i] = new SegmentTreeMatrix(hld.cluspath[i].length);
}
for(int Q = ni();Q > 0;Q--){
char c = nc();
if(c == 'x'){
int v = ni();
if(par[from[v]] == to[v]){
v = from[v];
}else{
v = to[v];
}
sts[hld.clus[v]].update(hld.clusiind[v], ni(), ni(), ni(), ni());
}else{
int anc = ni(), u = ni();
int[][] M = {{1, 0}, {0, 1}};
if(anc != u){
anc = hld.ancestor(u, dep[u] - dep[anc] - 1);
for(int x = u;;){
int cx = hld.clus[x];
int l = cx == hld.clus[anc] ? hld.clusiind[anc] : 0;
int r = hld.clusiind[x];
M = sts[cx].apply(l, r+1, M);
if(cx == hld.clus[anc])break;
x = par[hld.cluspath[cx][0]];
}
}
out.println(M[0][0] + " " + M[0][1] + " " + M[1][0] + " " + M[1][1]);
}
}
}
public static class SegmentTreeMatrix {
public int M, H, N;
public int[][][] node;
public static int mod = 1000000007;
public static long BIG = 8L*mod*mod;
public static int S = 2;
public SegmentTreeMatrix(int n)
{
N = n;
M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
H = M>>>1;
node = new int[M][][];
for(int i = 0;i < N;i++){
node[H+i] = new int[S][S];
node[H+i][0][0] = 1;
node[H+i][1][1] = 1;
}
for(int i = H-1;i >= 1;i--)propagate(i);
}
private void propagate(int cur)
{
node[cur] = prop2(node[2*cur], node[2*cur+1], node[cur]);
}
private int[][] prop2(int[][] L, int[][] R, int[][] C)
{
if(L != null && R != null){
C = mul(L, R, C, mod);
return C;
}else if(L != null){
return prop1(L, C);
}else if(R != null){
return prop1(R, C);
}else{
return null;
}
}
private int[][] prop1(int[][] L, int[][] C)
{
if(C == null){
// C = L; // read only
C = new int[S][];
for(int i = 0;i < S;i++){
C[i] = Arrays.copyOf(L[i], S);
}
}else{
for(int i = 0;i < S;i++){
C[i] = Arrays.copyOf(L[i], S);
}
}
return C;
}
public void update(int pos, int x0, int x1, int x2, int x3) {
node[H+pos][0][0] = x0;
node[H+pos][0][1] = x1;
node[H+pos][1][0] = x2;
node[H+pos][1][1] = x3;
for(int i = H+pos>>>1;i >= 1;i>>>=1)propagate(i);
}
public int[][] apply(int l, int r, int[][] m){
return apply(l, r, 0, H, 1, m);
}
protected int[][] apply(int l, int r, int cl, int cr, int cur, int[][] m)
{
if(l <= cl && cr <= r){
return mul(node[cur], m, null, mod);
}else{
int mid = cl+cr>>>1;
if(mid < r && l < cr){
m = apply(l, r, mid, cr, 2*cur+1, m);
}
if(cl < r && l < mid){
m = apply(l, r, cl, mid, 2*cur, m);
}
return m;
}
}
public static int[] mul(int[][] A, int[] v, int mod)
{
int m = A.length;
int n = v.length;
int[] w = new int[m];
for(int i = 0;i < m;i++){
long sum = 0;
for(int k = 0;k < n;k++){
sum += (long)A[i][k] * v[k];
if(sum >= BIG)sum -= BIG;
}
w[i] = (int)(sum % mod);
}
return w;
}
public static int[][] mul(int[][] A, int[][] B, int[][] C, int mod)
{
assert A[0].length == B.length;
int m = A.length;
int n = A[0].length;
int o = B[0].length;
if(C == null)C = new int[m][o];
for(int i = 0;i < m;i++){
for(int j = 0;j < o;j++){
long sum = 0;
for(int k = 0;k < n;k++){
sum += (long)A[i][k] * B[k][j];
if(sum >= BIG)sum -= BIG;
}
sum %= mod;
C[i][j] = (int)sum;
}
}
return C;
}
}
public static class HeavyLightDecomposition {
public int[][] g;
public int[] clus;
public int[][] cluspath;
public int[] clusiind;
public int[] par, dep;
public int m;
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.m = cluspath.length;
this.par = par;
this.dep = dep;
this.g = g;
}
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;
}
// NOT VERIFIED
// [iord[x], right[x])
public int[][] makeRights()
{
int root = -1;
int n = g.length;
for(int i = 0;i < n;i++)if(par[i] == -1)root = i;
int[] ord = new int[n];
int[] right = new int[n];
int[] curs = new int[n];
int[] inds = new int[n];
int sp = 0, p = 0;
curs[sp++] = root;
while(sp > 0){
int cur = curs[sp-1];
int ind = inds[sp-1];
inds[sp-1]++;
if(ind == 0){
ord[p++] = cur;
for(int e : g[cur]){
if(par[cur] == e)continue;
if(clus[cur] == clus[e]){
curs[sp] = e;
inds[sp] = 0;
sp++;
break;
}
}
}else if(ind-1 < g[cur].length){
int e = g[cur][ind-1];
if(e == par[cur])continue;
if(clus[cur] == clus[e])continue;
curs[sp] = e;
inds[sp] = 0;
sp++;
}else{
right[cur] = p;
sp--;
}
}
int[] iord = new int[n];
for(int i = 0;i < n;i++)iord[ord[i]] = i;
return new int[][]{ord, iord, right};
}
///// templates
}
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 };
}
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)); }
}