結果
| 問題 |
No.1212 Second Path
|
| コンテスト | |
| ユーザー |
 りあん
|
| 提出日時 | 2020-08-30 17:55:59 |
| 言語 | C#(csc) (csc 3.9.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 12,650 bytes |
| コンパイル時間 | 5,076 ms |
| コンパイル使用メモリ | 116,352 KB |
| 実行使用メモリ | 266,840 KB |
| 最終ジャッジ日時 | 2024-11-15 14:46:30 |
| 合計ジャッジ時間 | 78,374 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge3 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 13 WA * 27 TLE * 5 |
コンパイルメッセージ
Microsoft (R) Visual C# Compiler version 3.9.0-6.21124.20 (db94f4cc) Copyright (C) Microsoft Corporation. All rights reserved.
ソースコード
using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Threading;
using System.Text;
using System.Text.RegularExpressions;
using System.Diagnostics;
using static util;
using P = pair<int, int>;
class Program {
static void Main(string[] args) {
var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
var solver = new Solver(sw);
// var t = new Thread(solver.solve, 1 << 28); // 256 MB
// t.Start();
// t.Join();
solver.solve();
sw.Flush();
}
}
class Solver {
StreamWriter sw;
Scan sc;
void Prt(string a) => sw.WriteLine(a);
void Prt<T>(IEnumerable<T> a) => Prt(string.Join(" ", a));
void Prt(params object[] a) => Prt(string.Join(" ", a));
public Solver(StreamWriter sw) {
this.sw = sw;
this.sc = new Scan();
}
public void solve() {
int n = sc.Int;
var edge = new List<P>[n];
for (int i = 0; i < n; i++)
{
edge[i] = new List<P>();
}
for (int i = 0; i < n - 1; i++)
{
int u, v, w;
sc.Multi(out u, out v, out w);
--u;
--v;
edge[u].Add(new P(w, v));
edge[v].Add(new P(w, u));
}
var lca = new LCATree(edge);
int q = sc.Int;
for (int i = 0; i < q; i++)
{
int u, v;
sc.Multi(out u, out v);
--u;
--v;
Prt(lca.run(u, v));
}
}
}
class pair<T, U> : IComparable<pair<T, U>> {
public T v1;
public U v2;
public pair() : this(default(T), default(U)) {}
public pair(T v1, U v2) { this.v1 = v1; this.v2 = v2; }
public int CompareTo(pair<T, U> a) {
int c = Comparer<T>.Default.Compare(v1, a.v1);
return c != 0 ? c : Comparer<U>.Default.Compare(v2, a.v2);
}
public override string ToString() => v1 + " " + v2;
public void Deconstruct(out T a, out U b) { a = v1; b = v2; }
}
static class util {
public static readonly int M = 1000000007;
// public static readonly int M = 998244353;
public static readonly long LM = 1L << 60;
public static readonly double eps = 1e-11;
public static void DBG(string a) => Console.Error.WriteLine(a);
public static void DBG<T>(IEnumerable<T> a) => DBG(string.Join(" ", a));
public static void DBG(params object[] a) => DBG(string.Join(" ", a));
public static void Assert(params bool[] conds) {
if (conds.Any(x => !x)) throw new Exception();
}
public static pair<T, U> make_pair<T, U>(T v1, U v2) => new pair<T, U>(v1, v2);
public static int CompareList<T>(IList<T> a, IList<T> b) where T : IComparable<T> {
for (int i = 0; i < a.Count && i < b.Count; i++)
if (a[i].CompareTo(b[i]) != 0) return a[i].CompareTo(b[i]);
return a.Count.CompareTo(b.Count);
}
public static bool inside(int i, int j, int h, int w) => i >= 0 && i < h && j >= 0 && j < w;
public static readonly int[] dd = { 0, 1, 0, -1 };
// static readonly string dstring = "RDLU";
public static IEnumerable<P> adjacents(int i, int j)
=> Enumerable.Range(0, dd.Length).Select(k => new P(i + dd[k], j + dd[k ^ 1]));
public static IEnumerable<P> adjacents(int i, int j, int h, int w)
=> adjacents(i, j).Where(p => inside(p.v1, p.v2, h, w));
public static IEnumerable<P> adjacents(this P p) => adjacents(p.v1, p.v2);
public static IEnumerable<P> adjacents(this P p, int h, int w) => adjacents(p.v1, p.v2, h, w);
public static IEnumerable<int> all_subset(this int p) {
for (int i = 0; ; i = i - p & p) {
yield return i;
if (i == p) break;
}
}
public static Dictionary<T, int> compress<T>(this IEnumerable<T> a)
=> a.Distinct().OrderBy(v => v).Select((v, i) => new { v, i }).ToDictionary(p => p.v, p => p.i);
public static Dictionary<T, int> compress<T>(params IEnumerable<T>[] a) => compress(a.SelectMany(x => x));
public static T[] inv<T>(this Dictionary<T, int> dic) {
var res = new T[dic.Count];
foreach (var item in dic) res[item.Value] = item.Key;
return res;
}
public static void swap<T>(ref T a, ref T b) where T : struct { var t = a; a = b; b = t; }
public static void swap<T>(this IList<T> a, int i, int j) where T : struct { var t = a[i]; a[i] = a[j]; a[j] = t; }
public static T[] copy<T>(this IList<T> a) {
var ret = new T[a.Count];
for (int i = 0; i < a.Count; i++) ret[i] = a[i];
return ret;
}
}
class Scan {
StreamReader sr;
public Scan() { sr = new StreamReader(Console.OpenStandardInput()); }
public Scan(string path) { sr = new StreamReader(path); }
public int Int => int.Parse(Str);
public long Long => long.Parse(Str);
public double Double => double.Parse(Str);
public string Str => ReadLine.Trim();
public string ReadLine => sr.ReadLine();
public pair<T, U> Pair<T, U>() {
T a; U b;
Multi(out a, out b);
return new pair<T, U>(a, b);
}
public P P => Pair<int, int>();
public int[] IntArr => StrArr.Select(int.Parse).ToArray();
public long[] LongArr => StrArr.Select(long.Parse).ToArray();
public double[] DoubleArr => StrArr.Select(double.Parse).ToArray();
public string[] StrArr => Str.Split(new[]{' '}, StringSplitOptions.RemoveEmptyEntries);
bool eq<T, U>() => typeof(T).Equals(typeof(U));
T ct<T, U>(U a) => (T)Convert.ChangeType(a, typeof(T));
T cv<T>(string s) => eq<T, int>() ? ct<T, int>(int.Parse(s))
: eq<T, long>() ? ct<T, long>(long.Parse(s))
: eq<T, double>() ? ct<T, double>(double.Parse(s))
: eq<T, char>() ? ct<T, char>(s[0])
: ct<T, string>(s);
public void Multi<T>(out T a) => a = cv<T>(Str);
public void Multi<T, U>(out T a, out U b) {
var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]);
}
public void Multi<T, U, V>(out T a, out U b, out V c) {
var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]);
}
public void Multi<T, U, V, W>(out T a, out U b, out V c, out W d) {
var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]);
}
public void Multi<T, U, V, W, X>(out T a, out U b, out V c, out W d, out X e) {
var ar = StrArr; a = cv<T>(ar[0]); b = cv<U>(ar[1]); c = cv<V>(ar[2]); d = cv<W>(ar[3]); e = cv<X>(ar[4]);
}
}
class LCATree {
int m;
int[][] parents;
long[][] dist;
int[][] last;
P[][][] mins;
P INF = new P(M, -1);
int[] depth;
public LCATree(List<pair<int, int>>[] g, int root = 0) {
int n = g.Length;
parents = new int[n][];
dist = new long[n][];
depth = new int[n];
last = new int[n][];
mins = new P[n][][];
m = 1;
while ((1 << m - 1) < n) ++m;
for (int i = 0; i < n; i++) {
parents[i] = new int[m];
dist[i] = new long[m];
last[i] = new int[m];
mins[i] = new P[m][];
depth[i] = -1;
for (int j = 0; j < m; j++) {
parents[i][j] = -1;
dist[i][j] = 0;
last[i][j] = -1;
mins[i][j] = new P[]{ INF, INF };
}
}
for (int i = 0; i < n; i++)
{
P mi1 = INF;
P mi2 = INF;
foreach (var item in g[i])
{
if (mi1.v1 > item.v1) {
mi2 = mi1;
mi1 = item;
}
else if (mi2.v1 > item.v1) {
mi2 = item;
}
}
mins[i][0] = new P[]{ mi1, mi2 };
}
depth[root] = 0;
var q = new Queue<int>();
q.Enqueue(root);
while (q.Count > 0) {
var p = q.Dequeue();
foreach (var item in g[p]) {
if (depth[item.v2] == -1) {
depth[item.v2] = depth[p] + 1;
parents[item.v2][0] = p;
last[item.v2][0] = item.v2;
dist[item.v2][0] = item.v1;
for (int i = 1; i < m && parents[item.v2][i - 1] != -1; i++) {
parents[item.v2][i] = parents[parents[item.v2][i - 1]][i - 1];
dist[item.v2][i] = dist[item.v2][i - 1] + dist[parents[item.v2][i - 1]][i - 1];
last[item.v2][i] = last[parents[item.v2][i - 1]][i - 1];
P mi1 = INF;
P mi2 = INF;
foreach (var mi in mins[item.v2][i - 1])
{
if (mi.v2 == parents[item.v2][i - 1]) continue;
if (mi1.v1 > mi.v1) {
mi2 = mi1;
mi1 = mi;
}
else if (mi2.v1 > mi.v1) {
mi2 = mi;
}
}
foreach (var mi in mins[parents[item.v2][i - 1]][i - 1])
{
if (mi.v2 == last[item.v2][i - 1]) continue;
if (mi1.v1 > mi.v1) {
mi2 = mi1;
mi1 = mi;
}
else if (mi2.v1 > mi.v1) {
mi2 = mi;
}
}
mins[item.v2][i] = new P[]{ mi1, mi2 };
}
q.Enqueue(item.v2);
}
}
}
}
void climb(ref int p, int cnt) {
for (int i = m - 1; i >= 0 ; i--) {
if (((cnt >> i) & 1) == 1) {
p = parents[p][i];
}
}
}
long climb(ref int p, ref P[] mis, ref int las, int cnt) {
long dis = 0;
for (int i = m - 1; i >= 0 ; i--) {
if (((cnt >> i) & 1) == 1) {
dis += dist[p][i];
P mi1 = INF;
P mi2 = INF;
foreach (var mi in mis)
{
if (mi.v2 == p) continue;
if (mi1.v1 > mi.v1) {
mi2 = mi1;
mi1 = mi;
}
else if (mi2.v1 > mi.v1) {
mi2 = mi;
}
}
foreach (var mi in mins[p][i])
{
if (mi.v2 == las) continue;
if (mi1.v1 > mi.v1) {
mi2 = mi1;
mi1 = mi;
}
else if (mi2.v1 > mi.v1) {
mi2 = mi;
}
}
mis = new P[]{ mi1, mi2 };
las = last[p][i];
p = parents[p][i];
}
}
return dis;
}
public long run(int p, int q) {
int lca = getlca(p, q);
var mip = new P[]{ INF, INF };
int lasp = -1;
var miq = new P[]{ INF, INF };
int lasq = -1;
long dist = 0;
dist += climb(ref p, ref mip, ref lasp, depth[p] - depth[lca]);
dist += climb(ref q, ref miq, ref lasq, depth[q] - depth[lca]);
int min = M;
foreach (var mi in mip)
{
if (mi.v2 == lca || mi.v2 == lasq) continue;
min = Math.Min(min, mi.v1);
}
foreach (var mi in miq)
{
if (mi.v2 == lca || mi.v2 == lasp) continue;
min = Math.Min(min, mi.v1);
}
foreach (var mi in mins[lca][0])
{
if (mi.v2 == lasq || mi.v2 == lasp) continue;
min = Math.Min(min, mi.v1);
}
if (min == M) return -1;
return dist + min * 2;
}
int getlca(int p, int q) {
if (depth[p] > depth[q]) climb(ref p, depth[p] - depth[q]);
if (depth[p] < depth[q]) climb(ref q, depth[q] - depth[p]);
if (p == q) return p;
for (int i = m - 1; i >= 0 ; i--) {
if (parents[p][i] != parents[q][i]) {
p = parents[p][i];
q = parents[q][i];
}
}
{
p = parents[p][0];
q = parents[q][0];
}
return p;
}
}