結果
| 問題 |
No.1494 LCS on Tree
|
| コンテスト | |
| ユーザー |
 uwi
|
| 提出日時 | 2021-04-30 22:40:59 |
| 言語 | Java (openjdk 23) |
| 結果 |
AC
|
| 実行時間 | 283 ms / 2,000 ms |
| コード長 | 17,370 bytes |
| コンパイル時間 | 5,124 ms |
| コンパイル使用メモリ | 93,060 KB |
| 実行使用メモリ | 128,972 KB |
| 最終ジャッジ日時 | 2024-11-20 15:03:42 |
| 合計ジャッジ時間 | 16,706 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge3 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 47 |
ソースコード
package contest210430;
import java.io.*;
import java.util.ArrayDeque;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.Queue;
import java.util.function.IntUnaryOperator;
import java.util.function.LongUnaryOperator;
public class D2 {
InputStream is;
FastWriter out;
String INPUT = "";
static char[] s;
public void solve() {
int n = ni();
s = ns().toCharArray();
m = s.length;
int[] from = new int[n - 1];
int[] to = new int[n - 1];
int[] ws = new int[n - 1];
for (int i = 0; i < n - 1; i++) {
from[i] = ni() - 1;
to[i] = ni() - 1;
ws[i] = nc();
}
int[][][] g = packWU(n, from, to, ws);
int[][] pars = parents(g, 0);
zero = new Datum();
Datum[] res = omnidirectionalTreeDP(g, pars[0], pars[1]);
int ans = 0;
for(Datum d : res){
ans = Math.max(ans, max(d.lcs));
}
out.println(ans);
}
public static int max(int... args){ int max = Integer.MIN_VALUE; for(int a : args){max = Math.max(max, a);} return max; }
static int m;
public static class Datum
{
int[] lcs;
public Datum()
{
lcs = new int[m];
}
public Datum(int cur)
{
lcs = new int[m];
}
}
public static Datum zero;
public static Datum merge(Datum a, Datum b)
{
Datum ret = new Datum();
for(int i = 0;i < m;i++){
ret.lcs[i] = Math.max(a.lcs[i], b.lcs[i]);
}
return ret;
}
public static Datum promote(Datum d, int... e)
{
Datum ret = new Datum();
int mx = 0;
for(int i = 0;i < m;i++){
if(s[i] == e[1]){
ret.lcs[i] = Math.max(d.lcs[i], mx + 1);
}else{
ret.lcs[i] = d.lcs[i];
}
mx = Math.max(mx, d.lcs[i]);
}
return ret;
}
public static Datum[] omnidirectionalTreeDP(int[][] g, int[] par, int[] ord) {
int n = g.length;
int root = ord[0];
Datum[] dp = new Datum[n];
// up
for(int i = n-1;i >= 0;i--){
int cur = ord[i];
Datum ldp = new Datum(cur);
for(int e : g[cur]){
if(par[cur] == e)continue;
ldp = merge(ldp, promote(dp[e], e));
}
dp[cur] = ldp;
}
// down
Datum[] prefix = new Datum[n+1];
Datum[] fall = new Datum[n];
fall[root] = zero;
for(int i = 0;i < n;i++){
int cur = ord[i];
prefix[0] = zero;
Datum suffix = merge(new Datum(cur), fall[cur]);
for(int j = 0;j < g[cur].length;j++){
int e = g[cur][j];
prefix[j+1] = par[cur] == e ? prefix[j] : merge(prefix[j], promote(dp[e], e));
}
for(int j = 0;j < g[cur].length;j++){
int e = g[cur][g[cur].length-1-j];
if(par[cur] != e){
fall[e] = promote(merge(prefix[g[cur].length-1-j], suffix), e);
}
suffix = par[cur] == e ? suffix : merge(suffix, promote(dp[e], e));
}
}
for(int i = 0;i < n;i++){
dp[i] = merge(fall[i], dp[i]);
}
return dp;
}
public static Datum[] omnidirectionalTreeDP(int[][][] g, int[] par, int[] ord) {
int n = g.length;
int root = ord[0];
Datum[] dp = new Datum[n];
// up
for(int i = n-1;i >= 0;i--){
int cur = ord[i];
Datum ldp = new Datum(cur);
for(int[] e : g[cur]){
if(par[cur] == e[0])continue;
ldp = merge(ldp, promote(dp[e[0]], e));
}
dp[cur] = ldp;
}
// down
Datum[] prefix = new Datum[n+1];
Datum[] fall = new Datum[n];
fall[root] = zero;
for(int i = 0;i < n;i++){
int cur = ord[i];
prefix[0] = zero;
Datum suffix = merge(new Datum(cur), fall[cur]);
for(int j = 0;j < g[cur].length;j++){
int[] e = g[cur][j];
prefix[j+1] = par[cur] == e[0] ? prefix[j] : merge(prefix[j], promote(dp[e[0]], e));
}
for(int j = 0;j < g[cur].length;j++){
int[] e = g[cur][g[cur].length-1-j];
if(par[cur] != e[0]){
fall[e[0]] = promote(merge(prefix[g[cur].length-1-j], suffix), e);
}
suffix = par[cur] == e[0] ? suffix : merge(suffix, promote(dp[e[0]], e));
}
}
for(int i = 0;i < n;i++){
dp[i] = merge(fall[i], dp[i]);
}
return dp;
}
public static int[][] makeFatNext(char[] s, char inf, char sup)
{
int n = s.length;
int[][] next = new int[sup-inf+1][n+1];
for(int i = 0;i < sup-inf+1;i++)next[i][n] = n+1;
for(int i = s.length-1;i >= 0;i--){
for(int j = 0;j < sup-inf+1;j++)next[j][i] = next[j][i+1];
next[s[i]-inf][i] = i+1;
}
return next;
}
public static int[][] parents(int[][][] g, int root) {
int n = g.length;
int[] par = new int[n];
Arrays.fill(par, -1);
int[] dw = new int[n];
int[] pw = new int[n];
int[] dep = new int[n];
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[0]) {
q[r++] = nex[0];
par[nex[0]] = cur;
dep[nex[0]] = dep[cur] + 1;
dw[nex[0]] = dw[cur] + nex[1];
pw[nex[0]] = nex[1];
}
}
}
return new int[][]{par, q, dep, dw, pw};
}
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 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[][] 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 void main(String[] args) {
new D2().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 write(IntUnaryOperator f, int... xs)
{
boolean first = true;
for(int x : xs) {
if (!first) write(' ');
first = false;
write(f.applyAsInt(x));
}
return this;
}
public FastWriter write(LongUnaryOperator f, long... xs)
{
boolean first = true;
for(long x : xs) {
if (!first) write(' ');
first = false;
write(f.applyAsLong(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(IntUnaryOperator f, int... xs) { return write(f, xs).writeln(); }
public FastWriter writeln(LongUnaryOperator f, long... xs) { return write(f, 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 print(IntUnaryOperator f, int... xs) { return write(f, xs); }
public FastWriter print(LongUnaryOperator f, long... xs) { return write(f, xs); }
public FastWriter println(int... xs) { return writeln(xs); }
public FastWriter println(long... xs) { return writeln(xs); }
public FastWriter println(IntUnaryOperator f, int... xs) { return writeln(f, xs); }
public FastWriter println(LongUnaryOperator f, long... xs) { return writeln(f, 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)); }
}