結果
| 問題 | No.1038 TreeAddQuery |
| ユーザー |
 uwi
|
| 提出日時 | 2020-08-27 13:38:17 |
| 言語 | Java21 (openjdk 21) |
| 結果 |
AC
|
| 実行時間 | 1,819 ms / 4,000 ms |
| コード長 | 12,696 bytes |
| コンパイル時間 | 5,087 ms |
| コンパイル使用メモリ | 89,852 KB |
| 実行使用メモリ | 122,464 KB |
| 最終ジャッジ日時 | 2024-11-07 16:12:58 |
| 合計ジャッジ時間 | 34,633 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge4 |
（要ログイン）
テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 51 ms
37,028 KB |
| testcase_01 | AC | 54 ms
36,804 KB |
| testcase_02 | AC | 55 ms
37,168 KB |
| testcase_03 | AC | 130 ms
41,588 KB |
| testcase_04 | AC | 132 ms
41,672 KB |
| testcase_05 | AC | 136 ms
41,244 KB |
| testcase_06 | AC | 127 ms
41,316 KB |
| testcase_07 | AC | 140 ms
41,116 KB |
| testcase_08 | AC | 1,367 ms
94,988 KB |
| testcase_09 | AC | 1,375 ms
106,564 KB |
| testcase_10 | AC | 1,519 ms
108,928 KB |
| testcase_11 | AC | 1,384 ms
106,884 KB |
| testcase_12 | AC | 1,393 ms
106,504 KB |
| testcase_13 | AC | 1,776 ms
122,324 KB |
| testcase_14 | AC | 1,618 ms
106,636 KB |
| testcase_15 | AC | 1,479 ms
104,352 KB |
| testcase_16 | AC | 1,395 ms
104,768 KB |
| testcase_17 | AC | 1,614 ms
103,936 KB |
| testcase_18 | AC | 881 ms
99,500 KB |
| testcase_19 | AC | 990 ms
99,112 KB |
| testcase_20 | AC | 970 ms
98,724 KB |
| testcase_21 | AC | 1,058 ms
100,524 KB |
| testcase_22 | AC | 1,121 ms
99,964 KB |
| testcase_23 | AC | 1,079 ms
98,396 KB |
| testcase_24 | AC | 1,033 ms
97,000 KB |
| testcase_25 | AC | 1,819 ms
122,464 KB |
| testcase_26 | AC | 1,409 ms
118,556 KB |
ソースコード
package no1xxx;
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 No1038 {
InputStream is;
PrintWriter out;
String INPUT = "";
void solve()
{
int n = ni(), Q = ni();
int[] from = new int[n - 1];
int[] to = new int[n - 1];
for (int i = 0; i < n - 1; i++) {
from[i] = ni() - 1;
to[i] = ni() - 1;
}
int[][] g = packU(n, from, to);
ConstBombQuery cbq = new ConstBombQuery(g);
for(int z = 0;z < Q;z++) {
int X = ni()-1, Y = ni(), Z = ni();
out.println(cbq.get(X));
cbq.query(X, Y, Z);
}
}
public static int[] buildCentroidTree(int[][] g) {
int n = g.length;
int[] ctpar = new int[n];
Arrays.fill(ctpar, -1);
buildCentroidTree(g, 0, new boolean[n], new int[n], new int[n], new int[n], ctpar);
return ctpar;
}
private static int buildCentroidTree(int[][] g, int root, boolean[] sed, int[] par, int[] ord, int[] des, int[] ctpar)
{
// parent and level-order
ord[0] = root;
par[root] = -1;
int r = 1;
for(int p = 0;p < r;p++) {
int cur = ord[p];
for(int nex : g[cur]){
if(par[cur] != nex && !sed[nex]){
ord[r++] = nex;
par[nex] = cur;
}
}
}
// if(r == 1)return;
// DP and find a separator
int sep = -1; // always exists
outer:
for(int i = r-1;i >= 0;i--){
int cur = ord[i];
des[cur] = 1;
for(int e : g[cur]){
if(par[cur] != e && !sed[e])des[cur] += des[e];
}
if(r-des[cur] <= r/2){
for(int e : g[cur]){
if(par[cur] != e && !sed[e] && des[e] >= r/2+1)continue outer;
}
sep = cur;
break;
}
}
sed[sep] = true;
for(int e : g[sep]){
if(!sed[e])ctpar[buildCentroidTree(g, e, sed, par, ord, des, ctpar)] = sep;
}
return sep;
}
public static long sumFenwick(long[] ft, int i)
{
long sum = 0;
for(i++;i > 0;i -= i&-i)sum += ft[i];
return sum;
}
public static void addFenwick(long[] ft, int l, int r, long v)
{
addFenwick(ft, l, v);
addFenwick(ft, r, -v);
}
public static void addFenwick(long[] ft, int i, long v)
{
if(v == 0)return;
int n = ft.length;
for(i++;i < n;i += i&-i)ft[i] += v;
}
public static class ConstBombQuery {
LCAByEulerTourWithSparseTable lca;
long[][] vals;
long[][] valsn;
int[] cpar;
public ConstBombQuery(int[][] g)
{
int n = g.length;
cpar = buildCentroidTree(g);
vals = new long[n][];
valsn = new long[n][];
dfsTopCT(cpar, g);
for(int i = 0;i < n;i++) {
if(valsn[i] == null)valsn[i] = new long[0];
}
lca = new LCAByEulerTourWithSparseTable(g, 0);
}
public long get(int V)
{
long ret = 0;
for(int x = V, pre = -1;x != -1;pre = x, x = cpar[x]) {
int d = lca.d(x, V);
ret += sumFenwick(vals[x], d);
if(pre != -1) {
ret -= sumFenwick(valsn[pre], d);
}
}
return ret;
}
public void query(int V, int R, long val)
{
for(int x = V, pre = -1;x != -1;pre = x, x = cpar[x]) {
int d = lca.d(x, V);
if(d <= R) {
addFenwick(vals[x], 0, val);
if(R-d+1 < vals[x].length)addFenwick(vals[x], R-d+1, -val);
if(pre != -1) {
addFenwick(valsn[pre], 0, val);
if(R-d+1 < valsn[pre].length)addFenwick(valsn[pre], R-d+1, -val);
}
}
}
}
/**
* w: 頂点重み
* wt: weight table. wt[i] = (頂点iのsepからの重み合計。sepは含まない)
* dt: distance table. dt[i] = (頂点iのsepからの距離)
* vs: vertices. vssのテンポラリ
* vals: vertices. vals[j] = (j番目のneckにある頂点のpreorder)
* ctch: children of centroid tree
* stack, inds, rulers: テンポラリ
* @author uwi
*
*/
static class Context
{
boolean[] seps; // is separator?
long[] wt; // [ind] = w between sep and ind
int[] dt;
int[] vs;
int[][] vals; // [neckind][vertices]
int[][] ctch;
int[][] g;
int[] stack;
int[] inds;
int[] rulers; // temp. [neckp] = separator
int[] cpar;
}
public Context dfsTopCT(int[] cpar, int[][] g) {
int n = g.length;
int ctroot = -1;
for(int i = 0;i < n;i++)if(cpar[i] == -1)ctroot = i;
Context cx = new Context();
cx.cpar = cpar;
cx.seps = new boolean[n];
cx.wt = new long[n];
cx.dt = new int[n];
cx.vs = new int[n];
cx.vals = new int[n][];
cx.ctch = parentToChildren(cpar);
cx.g = g;
cx.stack = new int[n];
cx.inds = new int[n];
cx.rulers = new int[n];
dfs(ctroot, cx);
return cx;
}
public static int[][] parentToChildren(int[] par)
{
int n = par.length;
int[] ct = new int[n];
for(int i = 0;i < n;i++){
if(par[i] >= 0){
ct[par[i]]++;
}
}
int[][] g = new int[n][];
for(int i = 0;i < n;i++){
g[i] = new int[ct[i]];
}
for(int i = 0;i < n;i++){
if(par[i] >= 0){
g[par[i]][--ct[par[i]]] = i;
}
}
return g;
}
private void dfs(int sep, Context cx)
{
cx.seps[sep] = true;
int neckp = 0;
for(int neck : cx.g[sep]){
if(cx.seps[neck])continue;
int sp = 0;
cx.inds[sp] = 0;
// cx.wt[neck] = w[neck];
cx.dt[neck] = 1;
int vsp = 0;
cx.stack[sp++] = neck;
while(sp > 0){
int cur = cx.stack[sp-1];
if(cx.inds[sp-1] == 0){
cx.vs[vsp++] = cur;
if(cx.cpar[cur] == sep)cx.rulers[neckp] = cur;
}
if(cx.inds[sp-1] == cx.g[cur].length){
sp--;
continue;
}
int e = cx.g[cur][cx.inds[sp-1]++];
if(!cx.seps[e] && !(sp-2 >= 0 && e == cx.stack[sp-2])){
// cx.wt[e] = cx.wt[cur] + w[e];
cx.dt[e] = sp + 1;
cx.stack[sp] = e;
cx.inds[sp] = 0;
sp++;
}
}
cx.vals[neckp] = Arrays.copyOf(cx.vs, vsp);
neckp++;
}
process(sep, cx, Arrays.copyOf(cx.vals, neckp));
for(int e : cx.ctch[sep])dfs(e, cx);
}
private void process(int sep, Context cx, int[][] vss)
{
int maxd = 0;
for(int i = 0;i < vss.length;i++) {
int lmaxd = 0;
for(int v : vss[i]) {
lmaxd = Math.max(lmaxd, cx.dt[v]);
}
valsn[cx.rulers[i]] = new long[lmaxd + 3];
maxd = Math.max(maxd, lmaxd);
}
vals[sep] = new long[maxd + 3];
}
}
public static class LCAByEulerTourWithSparseTable {
public EulerTour et;
public int[][][] st;
public LCAByEulerTourWithSparseTable(int[][] g, int root)
{
et = edgedEulerTour(g, root);
st = buildP(et.deps);
}
public int lca(int x, int y)
{
int lx = et.last[x], ly = et.last[y];
return et.vs[rmqpos(st, Math.min(lx, ly), Math.max(lx, ly)+1)];
}
public int d(int x, int y)
{
int lx = et.last[x], ly = et.last[y];
return et.deps[lx] + et.deps[ly] - 2 * rmqval(st, Math.min(lx, ly), Math.max(lx, ly)+1);
}
public static EulerTour edgedEulerTour(int[][] g, int root)
{
int n = g.length;
int[] vs = new int[2*n-1];
int[] deps = new int[2*n-1];
int[] first = new int[n];
int[] last = new int[n];
int p = 0;
int[] stack = new int[n];
int[] inds = new int[n];
int[] sdeps = new int[n];
int sp = 0;
stack[sp++] = root;
first[root] = -1;
last[root] = 2*n-2;
outer:
while(sp > 0){
int cur = stack[sp-1], ind = inds[sp-1], sdep = sdeps[sp-1];
vs[p] = cur;
deps[p] = sdep;
p++;
while(ind < g[cur].length){
int nex = g[cur][ind++];
if(sp-2 >= 0 && nex == stack[sp-2])continue;
inds[sp-1] = ind;
stack[sp] = nex;
inds[sp] = 0;
sdeps[sp] = sdep+1;
first[nex] = p-1;
sp++;
continue outer;
}
inds[sp-1] = ind;
if(cur != root)last[cur] = p-1;
sp--;
}
return new EulerTour(vs, first, last, deps);
}
public static class EulerTour
{
public int[] vs; // vertices
public int[] first; // first appeared time
public int[] last; // last appeared time
public int[] deps;
public EulerTour(int[] vs, int[] f, int[] l, int[] deps) {
this.vs = vs;
this.first = f;
this.last = l;
this.deps = deps;
}
}
public static int[][][] buildP(int[] a)
{
int n = a.length;
int b = 32-Integer.numberOfLeadingZeros(n);
int[][] ret = new int[b][];
int[][] pos = new int[b][];
for(int i = 0, l = 1;i < b;i++, l*=2) {
if(i == 0) {
ret[i] = a;
pos[i] = new int[n];
for(int j = 0;j < n;j++)pos[i][j] = j;
}else {
ret[i] = new int[n-l+1];
pos[i] = new int[n-l+1];
for(int j = 0;j < n-l+1;j++) {
if(ret[i-1][j] < ret[i-1][j+l/2]){
ret[i][j] = ret[i-1][j];
pos[i][j] = pos[i-1][j];
}else{
ret[i][j] = ret[i-1][j+l/2];
pos[i][j] = pos[i-1][j+l/2];
}
}
}
}
return new int[][][]{ret, pos};
}
public static int rmqpos(int[][][] st, int a, int b)
{
int t = 31-Integer.numberOfLeadingZeros(b-a);
if(st[0][t][a] < st[0][t][b-(1<<t)]){
return st[1][t][a];
}else{
return st[1][t][b-(1<<t)];
}
}
public static int rmqval(int[][][] st, int a, int b)
{
int t = 31-Integer.numberOfLeadingZeros(b-a);
if(st[0][t][a] < st[0][t][b-(1<<t)]){
return st[0][t][a];
}else{
return st[0][t][b-(1<<t)];
}
}
}
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 No1038().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)); }
}