結果
| 問題 |
No.1326 ふたりのDominator
|
| コンテスト | |
| ユーザー |
 uwi
|
| 提出日時 | 2020-12-23 00:28:49 |
| 言語 | Java (openjdk 23) |
| 結果 |
AC
|
| 実行時間 | 457 ms / 2,000 ms |
| コード長 | 21,137 bytes |
| コンパイル時間 | 4,970 ms |
| コンパイル使用メモリ | 94,044 KB |
| 実行使用メモリ | 72,672 KB |
| 最終ジャッジ日時 | 2024-09-23 02:54:04 |
| 合計ジャッジ時間 | 11,954 ms |
|
ジャッジサーバーID （参考情報） |
judge1 / judge2 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 24 |
ソースコード
package adv2020;
import java.io.*;
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.Queue;
public class Day23 {
InputStream is;
FastWriter out;
String INPUT = "";
public void solve()
{
int n = ni(), m = ni();
int[] from = new int[m];
int[] to = new int[m];
int[] ids = new int[m];
for(int i = 0;i < m;i++){
from[i] = ni()-1;
to[i] = ni()-1;
ids[i] = i;
}
int[][][] g = packWU(n, from, to, ids);
BCDatum dat = decomposeToBiconnectedComponents(g);
int[][] bg = buildBlockCutTree(dat);
int[] aid = new int[n];
int ge = dat.ecp;
Arrays.fill(aid, -1);
for(int i = 0;i < n;i++){
if(dat.isArtic[i]){
aid[i] = ge++;
}
}
for(int i = 0;i < m;i++){
if(!dat.isArtic[from[i]]){
aid[from[i]] = dat.edgeClus[i];
}
if(!dat.isArtic[to[i]]){
aid[to[i]] = dat.edgeClus[i];
}
}
int[][] pars = parents(bg, 0);
int[] par = pars[0], ord = pars[1];
int[] dp = new int[bg.length];
for(int i = 0;i < bg.length;i++){
int cur = ord[i];
if(i > 0)dp[cur] = dp[par[cur]];
if(cur >= dat.ecp)dp[cur]++;
}
LCAFast2 lf = LCAFast2.build(bg, 0);
for(int Q = ni();Q > 0;Q--){
int x = ni()-1, y = ni()-1;
x = aid[x]; y = aid[y];
int lca = lf.lca(x, y);
int ans = dp[x] + dp[y] - dp[lca] - (lca != 0 ? dp[par[lca]] : 0);
if(x >= dat.ecp)ans--;
if(y >= dat.ecp && x != y)ans--;
out.println(ans);
}
}
public static class LCAFast2 {
public int n, h;
public int[][] bigst;
public int[][] bigind;
public long[][] smallb;
public int[] vs, first, deps;
public int lca(int a, int b)
{
return vs[rmqpos(Math.min(first[a], first[b]), Math.max(first[a], first[b]))];
}
public int pointOnPath(int a, int b, int dfroma)
{
int lca = lca(a, b);
if(dfroma <= dep(a) - dep(lca)){
return anc(a, dfroma);
}
int dfromb = dep(b) - dep(lca) - (dfroma - (dep(a) - dep(lca)));
if(dfromb < 0)return -1;
return anc(b, dfromb);
}
public int anc(int a, int d)
{
int da = dep(a);
if(da < d)return -1;
int danc = da - d;
int low = 0, high = first[a] + 1;
while(high - low > 1){
int h = high+low>>1;
if(rmqval(h, first[a]) <= danc){
low = h;
}else {
high = h;
}
}
return vs[low];
}
public int d(int a, int b)
{
return dep(a) + dep(b) - 2 * rmqval(Math.min(first[a], first[b]), Math.max(first[a], first[b]));
}
public int dep(int x)
{
return deps[first[x]];
}
public int rmqpos(int l, int r)
{
if(l > r)return -1;
int cl = l>>>6;
int cr = r>>>6;
if(cl == cr){
return argmax(smallb[l&63][cl], r-l+1) + l;
}else{
int min = deps[l] - max(smallb[l&63][cl], 63-(l&63)+1);
int pos = argmax(smallb[l&63][cl], 63-(l&63)+1) + l;
{
int can = deps[r>>>6<<6] - max(smallb[0][cr], (r&63)-0+1);
if(can < min){
min = can;
pos = argmax(smallb[0][cr], (r&63)-0+1) + (r>>>6<<6);
}
}
if(cl+1 <= cr-1){
int len = (cr-1)-(cl+1)+1;
int h = 31-Integer.numberOfLeadingZeros(len);
{
int can = bigst[h][cl+1];
if(can < min){
min = can;
pos = bigind[h][cl+1];
}
}
{
int can = bigst[h][cr-1-(1<<h)+1];
if(can < min){
min = can;
pos = bigind[h][cr-1-(1<<h)+1];
}
}
}
return pos;
}
}
public int rmqval(int l, int r)
{
if(l > r)return -1;
int cl = l>>>6;
int cr = r>>>6;
if(cl == cr){
return deps[l] - max(smallb[l&63][cl], r-l+1);
}else{
int min = deps[l] - max(smallb[l&63][cl], 63-(l&63)+1);
min = Math.min(min, deps[r>>>6<<6] - max(smallb[0][cr], (r&63)-0+1));
if(cl+1 <= cr-1){
int len = (cr-1)-(cl+1)+1;
int h = 31-Integer.numberOfLeadingZeros(len);
min = Math.min(min, bigst[h][cl+1]);
min = Math.min(min, bigst[h][cr-1-(1<<h)+1]);
}
return min;
}
}
public static LCAFast2 build(int[][] g, int root)
{
LCAFast2 ret = new LCAFast2();
int[][] et = eulerTour(g, root);
int[] vs = et[0], deps = et[1], first = et[2];
ret.vs = vs;
ret.first = first;
ret.deps = deps;
int n = deps.length;
int u = n+63>>>6;
int h = 31-Integer.numberOfLeadingZeros(u) + 1;
int[][] bigst = new int[h][];
int[][] bigind = new int[h][];
int[] cup = new int[u];
int[] cupind = new int[u];
Arrays.fill(cup, Integer.MAX_VALUE);
for(int i = 0;i < n;i++){
if(deps[i] < cup[i>>>6]){
cup[i>>>6] = deps[i];
cupind[i>>>6] = i;
}
}
bigst[0] = cup;
bigind[0] = cupind;
for(int i = 1;i < h;i++){
bigst[i] = new int[u-(1<<i)+1];
bigind[i] = new int[u-(1<<i)+1];
for(int j = 0;j + (1<<i) <= u;j++){
if(bigst[i-1][j] < bigst[i-1][j+(1<<i-1)]){
bigst[i][j] = bigst[i-1][j];
bigind[i][j] = bigind[i-1][j];
}else{
bigst[i][j] = bigst[i-1][j+(1<<i-1)];
bigind[i][j] = bigind[i-1][j+(1<<i-1)];
}
}
}
long[][] smallb = new long[64][u];
for(int i = 0;i < u;i++){
long x = 0;
for(int j = 0;j < 63 && (i<<6|j+1) < n;j++){
if(deps[i<<6|j] > deps[i<<6|j+1]){
x |= 1L<<j;
}
}
long val = 0;
for(int j = 63;j >= 0;j--){
val <<= 1;
if(x<<~j<0){
val |= 1L;
}else{
val &= val - 1;
}
smallb[j][i] = val;
}
//
// for(int j = 0;j < 64;j++){
// smallb[j][i] = make(x>>>j);
// }
}
ret.n = n; ret.h = h;
ret.bigst = bigst;
ret.bigind = bigind;
ret.smallb = smallb;
return ret;
}
public static int[][] eulerTour(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];
Arrays.fill(first, -1);
int p = 0;
int[] stack = new int[n];
int[] inds = new int[n];
int sp = 0;
stack[sp++] = root;
outer:
while(sp > 0){
int cur = stack[sp-1], ind = inds[sp-1];
vs[p] = cur;
deps[p] = sp-1;
if(first[cur] == -1)first[cur] = p;
p++;
while(ind < g[cur].length){
int nex = g[cur][ind++];
if(first[nex] == -1){
inds[sp-1] = ind;
stack[sp] = nex;
inds[sp] = 0;
sp++;
continue outer;
}
}
inds[sp-1] = ind;
if(ind == g[cur].length)sp--;
}
return new int[][]{vs, deps, first};
}
// TinyRMQ
public static long make(long x)
{
int h = 0;
int max = 0;
long ret = 0;
for(int i = 0;i < 64;i++){
if(x<<~i<0){
h++;
}else{
h--;
}
if(h > max){
max = h;
ret |= 1L<<i;
}
}
return ret;
}
public static int max(long x, int r)
{
assert r > 0;
return Long.bitCount(x&(1L<<r-1)-1);
}
public static int argmax(long x, int r)
{
assert r > 0;
return 64-Long.numberOfLeadingZeros(x&(1L<<r-1)-1);
}
}
public static int[][] parents(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[][] buildBlockCutTree(BCDatum dat)
{
int n = dat.g.length;
int m = dat.ecp;
int[] artics = new int[n];
Arrays.fill(artics, -1);
int q = 0;
for(int i = 0;i < n;i++){
if(dat.isArtic[i]){
artics[i] = q++;
}
}
int[] from = new int[q+m-1];
int[] to = new int[q+m-1];
// m+q
int p = 0;
int[] temp = new int[n];
for(int i = 0;i < n;i++){
if(dat.isArtic[i]){
int lp = 0;
for(int[] e : dat.g[i]){
temp[lp++] = dat.edgeClus[e[1]];
}
assert lp >= 2;
Arrays.sort(temp, 0, lp);
for(int j = 0;j < lp;j++){
if(j == 0 || temp[j] != temp[j-1]){
from[p] = m+artics[i]; to[p] = temp[j]; p++;
}
}
}
}
assert p == from.length;
return packU(q+m, from, to);
}
public static int[][] packU(int n, int[] from, int[] to) {
return packU(n, from, to, from.length);
}
public static int[][] packU(int n, int[] from, int[] to, int sup) {
int[][] g = new int[n][];
int[] p = new int[n];
for (int i = 0; i < sup; i++) p[from[i]]++;
for (int i = 0; i < sup; i++) p[to[i]]++;
for (int i = 0; i < n; i++) g[i] = new int[p[i]];
for (int i = 0; i < sup; i++) {
g[from[i]][--p[from[i]]] = to[i];
g[to[i]][--p[to[i]]] = from[i];
}
return g;
}
public static int[][][] packWU(int n, int[] from, int[] to, int[] w) {
return packWU(n, from, to, w, from.length);
}
public static int[][][] packWU(int n, int[] from, int[] to, int[] w, int sup) {
int[][][] g = new int[n][][];
int[] p = new int[n];
for (int i = 0; i < sup; i++) p[from[i]]++;
for (int i = 0; i < sup; i++) p[to[i]]++;
for (int i = 0; i < n; i++) g[i] = new int[p[i]][2];
for (int i = 0; i < sup; i++) {
--p[from[i]];
g[from[i]][p[from[i]]][0] = to[i];
g[from[i]][p[from[i]]][1] = w[i];
--p[to[i]];
g[to[i]][p[to[i]]][0] = from[i];
g[to[i]][p[to[i]]][1] = w[i];
}
return g;
}
public static BCDatum decomposeToBiconnectedComponents(int[][][] g)
{
int n = g.length;
int m = 0;
for(int[][] row : g)m += row.length;
m /= 2;
BCDatum d = new BCDatum();
d.g = g;
d.gen = 0;
d.low = new int[n];
Arrays.fill(d.low, -1);
d.ord = new int[n];
Arrays.fill(d.ord, -1);
d.edgeStack = new int[m];
d.esp = 0;
d.edgeClus = new int[m];
Arrays.fill(d.edgeClus, -1);
d.visited = new boolean[n];
d.parente = new int[n];
d.isArtic = new boolean[n];
Arrays.fill(d.parente, -1);
for(int i = 0;i < n;i++){
if(!d.visited[i])dfsBC(i, d);
}
assert d.esp == 0;
return d;
}
private static void dfsBC(int cur, BCDatum d)
{
d.visited[cur] = true;
d.low[cur] = d.ord[cur] = d.gen++;
int dfsch = 0;
for(int[] e : d.g[cur]){
if(!d.visited[e[0]]){
d.edgeStack[d.esp++] = e[1];
d.parente[e[0]] = e[1];
dfsch++;
dfsBC(e[0], d);
if(d.low[e[0]] >= d.ord[cur]){
d.isArtic[cur] = true;
while(d.esp > 0){
d.edgeClus[d.edgeStack[--d.esp]] = d.ecp;
if(d.edgeStack[d.esp] == e[1])break;
}
d.ecp++;
}
d.low[cur] = Math.min(d.low[cur], d.low[e[0]]);
}else if(d.parente[cur] != e[1] && d.ord[e[0]] < d.ord[cur]){
// e is a back edge from cur to its ancestor e[0]
d.edgeStack[d.esp++] = e[1];
d.low[cur] = Math.min(d.low[cur], d.ord[e[0]]);
}
}
if(d.parente[cur] < 0 && dfsch == 1)d.isArtic[cur] = false; // if root node and degree on dfs tree = 1 then not articulation point.
}
public static class BCDatum
{
public int[][][] g;
public int[] edgeClus;
public int ecp;
public int gen;
public int[] ord;
public int[] low;
public int[] edgeStack;
public int esp;
public boolean[] visited;
public int[] parente;
public boolean[] isArtic;
}
public static void main(String[] args) {
new Day23().run();
}
public void run()
{
long S = System.currentTimeMillis();
is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
out = new FastWriter(System.out);
solve();
out.flush();
long G = System.currentTimeMillis();
tr(G-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();
}
private boolean eof()
{
if(lenbuf == -1)return true;
int lptr = ptrbuf;
while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false;
try {
is.mark(1000);
while(true){
int b = is.read();
if(b == -1){
is.reset();
return true;
}else if(!isSpaceChar(b)){
is.reset();
return false;
}
}
} catch (IOException e) {
return true;
}
}
private final 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 boolean isSpaceChar(int c) { return !(c >= 32 && 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))){
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 long[] nal(int n)
{
long[] a = new long[n];
for(int i = 0;i < n;i++)a[i] = nl();
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();
}
}
public static class FastWriter
{
private static final int BUF_SIZE = 1<<13;
private final byte[] buf = new byte[BUF_SIZE];
private final OutputStream out;
private int ptr = 0;
private FastWriter(){out = null;}
public FastWriter(OutputStream os)
{
this.out = os;
}
public FastWriter(String path)
{
try {
this.out = new FileOutputStream(path);
} catch (FileNotFoundException e) {
throw new RuntimeException("FastWriter");
}
}
public FastWriter write(byte b)
{
buf[ptr++] = b;
if(ptr == BUF_SIZE)innerflush();
return this;
}
public FastWriter write(char c)
{
return write((byte)c);
}
public FastWriter write(char[] s)
{
for(char c : s){
buf[ptr++] = (byte)c;
if(ptr == BUF_SIZE)innerflush();
}
return this;
}
public FastWriter write(String s)
{
s.chars().forEach(c -> {
buf[ptr++] = (byte)c;
if(ptr == BUF_SIZE)innerflush();
});
return this;
}
private static int countDigits(int l) {
if (l >= 1000000000) return 10;
if (l >= 100000000) return 9;
if (l >= 10000000) return 8;
if (l >= 1000000) return 7;
if (l >= 100000) return 6;
if (l >= 10000) return 5;
if (l >= 1000) return 4;
if (l >= 100) return 3;
if (l >= 10) return 2;
return 1;
}
public FastWriter write(int x)
{
if(x == Integer.MIN_VALUE){
return write((long)x);
}
if(ptr + 12 >= BUF_SIZE)innerflush();
if(x < 0){
write((byte)'-');
x = -x;
}
int d = countDigits(x);
for(int i = ptr + d - 1;i >= ptr;i--){
buf[i] = (byte)('0'+x%10);
x /= 10;
}
ptr += d;
return this;
}
private static int countDigits(long l) {
if (l >= 1000000000000000000L) return 19;
if (l >= 100000000000000000L) return 18;
if (l >= 10000000000000000L) return 17;
if (l >= 1000000000000000L) return 16;
if (l >= 100000000000000L) return 15;
if (l >= 10000000000000L) return 14;
if (l >= 1000000000000L) return 13;
if (l >= 100000000000L) return 12;
if (l >= 10000000000L) return 11;
if (l >= 1000000000L) return 10;
if (l >= 100000000L) return 9;
if (l >= 10000000L) return 8;
if (l >= 1000000L) return 7;
if (l >= 100000L) return 6;
if (l >= 10000L) return 5;
if (l >= 1000L) return 4;
if (l >= 100L) return 3;
if (l >= 10L) return 2;
return 1;
}
public FastWriter write(long x)
{
if(x == Long.MIN_VALUE){
return write("" + x);
}
if(ptr + 21 >= BUF_SIZE)innerflush();
if(x < 0){
write((byte)'-');
x = -x;
}
int d = countDigits(x);
for(int i = ptr + d - 1;i >= ptr;i--){
buf[i] = (byte)('0'+x%10);
x /= 10;
}
ptr += d;
return this;
}
public FastWriter write(double x, int precision)
{
if(x < 0){
write('-');
x = -x;
}
x += Math.pow(10, -precision)/2;
// if(x < 0){ x = 0; }
write((long)x).write(".");
x -= (long)x;
for(int i = 0;i < precision;i++){
x *= 10;
write((char)('0'+(int)x));
x -= (int)x;
}
return this;
}
public FastWriter writeln(char c){
return write(c).writeln();
}
public FastWriter writeln(int x){
return write(x).writeln();
}
public FastWriter writeln(long x){
return write(x).writeln();
}
public FastWriter writeln(double x, int precision){
return write(x, precision).writeln();
}
public FastWriter write(int... xs)
{
boolean first = true;
for(int x : xs) {
if (!first) write(' ');
first = false;
write(x);
}
return this;
}
public FastWriter write(long... xs)
{
boolean first = true;
for(long x : xs) {
if (!first) write(' ');
first = false;
write(x);
}
return this;
}
public FastWriter writeln()
{
return write((byte)'\n');
}
public FastWriter writeln(int... xs)
{
return write(xs).writeln();
}
public FastWriter writeln(long... xs)
{
return write(xs).writeln();
}
public FastWriter writeln(char[] line)
{
return write(line).writeln();
}
public FastWriter writeln(char[]... map)
{
for(char[] line : map)write(line).writeln();
return this;
}
public FastWriter writeln(String s)
{
return write(s).writeln();
}
private void innerflush()
{
try {
out.write(buf, 0, ptr);
ptr = 0;
} catch (IOException e) {
throw new RuntimeException("innerflush");
}
}
public void flush()
{
innerflush();
try {
out.flush();
} catch (IOException e) {
throw new RuntimeException("flush");
}
}
public FastWriter print(byte b) { return write(b); }
public FastWriter print(char c) { return write(c); }
public FastWriter print(char[] s) { return write(s); }
public FastWriter print(String s) { return write(s); }
public FastWriter print(int x) { return write(x); }
public FastWriter print(long x) { return write(x); }
public FastWriter print(double x, int precision) { return write(x, precision); }
public FastWriter println(char c){ return writeln(c); }
public FastWriter println(int x){ return writeln(x); }
public FastWriter println(long x){ return writeln(x); }
public FastWriter println(double x, int precision){ return writeln(x, precision); }
public FastWriter print(int... xs) { return write(xs); }
public FastWriter print(long... xs) { return write(xs); }
public FastWriter println(int... xs) { return writeln(xs); }
public FastWriter println(long... xs) { return writeln(xs); }
public FastWriter println(char[] line) { return writeln(line); }
public FastWriter println(char[]... map) { return writeln(map); }
public FastWriter println(String s) { return writeln(s); }
public FastWriter println() { return writeln(); }
}
public static void trnz(int... o)
{
for(int i = 0;i < o.length;i++)if(o[i] != 0)System.out.print(i+":"+o[i]+" ");
System.out.println();
}
// print ids which are 1
public static void trt(long... o)
{
Queue<Integer> stands = new ArrayDeque<>();
for(int i = 0;i < o.length;i++){
for(long x = o[i];x != 0;x &= x-1)stands.add(i<<6|Long.numberOfTrailingZeros(x));
}
System.out.println(stands);
}
public static void tf(boolean... r)
{
for(boolean x : r)System.out.print(x?'#':'.');
System.out.println();
}
public static void tf(boolean[]... b)
{
for(boolean[] r : b) {
for(boolean x : r)System.out.print(x?'#':'.');
System.out.println();
}
System.out.println();
}
public void tf(long[]... b)
{
if(INPUT.length() != 0) {
for (long[] r : b) {
for (long x : r) {
for (int i = 0; i < 64; i++) {
System.out.print(x << ~i < 0 ? '#' : '.');
}
}
System.out.println();
}
System.out.println();
}
}
public void tf(long... b)
{
if(INPUT.length() != 0) {
for (long x : b) {
for (int i = 0; i < 64; i++) {
System.out.print(x << ~i < 0 ? '#' : '.');
}
}
System.out.println();
}
}
private void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); }
}