結果
問題 | No.898 tri-βutree |
ユーザー | Oland |
提出日時 | 2020-05-21 19:20:59 |
言語 | Java21 (openjdk 21) |
結果 |
AC
|
実行時間 | 874 ms / 4,000 ms |
コード長 | 10,659 bytes |
コンパイル時間 | 3,868 ms |
コンパイル使用メモリ | 81,620 KB |
実行使用メモリ | 97,300 KB |
最終ジャッジ日時 | 2024-11-08 23:43:59 |
合計ジャッジ時間 | 20,700 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
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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 | 661 ms
97,300 KB |
testcase_01 | AC | 54 ms
36,816 KB |
testcase_02 | AC | 62 ms
37,264 KB |
testcase_03 | AC | 60 ms
36,864 KB |
testcase_04 | AC | 58 ms
37,440 KB |
testcase_05 | AC | 58 ms
37,348 KB |
testcase_06 | AC | 58 ms
37,480 KB |
testcase_07 | AC | 846 ms
91,092 KB |
testcase_08 | AC | 859 ms
90,972 KB |
testcase_09 | AC | 872 ms
91,052 KB |
testcase_10 | AC | 848 ms
91,040 KB |
testcase_11 | AC | 858 ms
86,968 KB |
testcase_12 | AC | 858 ms
90,816 KB |
testcase_13 | AC | 856 ms
91,072 KB |
testcase_14 | AC | 844 ms
86,904 KB |
testcase_15 | AC | 874 ms
94,920 KB |
testcase_16 | AC | 852 ms
87,048 KB |
testcase_17 | AC | 847 ms
86,916 KB |
testcase_18 | AC | 852 ms
86,828 KB |
testcase_19 | AC | 871 ms
91,088 KB |
testcase_20 | AC | 854 ms
87,040 KB |
testcase_21 | AC | 857 ms
86,740 KB |
ソースコード
import java.io.*; import java.util.*; @SuppressWarnings("unused") public class Main { FastScanner in; PrintWriter out; final static int MOD = (int)1e9+7; void solve(){ int N = in.nextInt(); ArrayList<ArrayList<Edge>> g = new ArrayList<>(); for(int i = 0; i < N; i++) g.add(new ArrayList<>()); for(int i = 0; i < N - 1; i++){ int u = in.nextInt(), v = in.nextInt(); long cost = in.nextLong(); g.get(u).add(new Edge(u, v, cost)); g.get(v).add(new Edge(v, u, cost)); } long[] sum = new long[N]; boolean[] visited = new boolean[N]; ArrayDeque<Integer> queue = new ArrayDeque<Integer>(); visited[0] = true; queue.addLast(0); while(!queue.isEmpty()){ int v = queue.removeFirst(); for(Edge edge : g.get(v)){ int to = edge.to; long cost = edge.cost; if(visited[to]) continue; visited[to] = true; sum[to] = sum[v] + cost; queue.addLast(to); } } LowestCommonAncestor lca = new LowestCommonAncestor(g, 0); int Q = in.nextInt(); for(int i = 0; i < Q; i++){ int x = in.nextInt(), y = in.nextInt(), z = in.nextInt(); long ans = 0; ans += sum[x] + sum[y] - 2 * sum[lca.getLCA(x, y)]; ans += sum[y] + sum[z] - 2 * sum[lca.getLCA(y, z)]; ans += sum[z] + sum[x] - 2 * sum[lca.getLCA(z, x)]; ans /= 2; out.println(ans); } } class Edge implements Comparable<Edge>{ int from; int to; long cost; public Edge(int f, int t, long c){ from = f; to = t; cost = c; } @Override public int compareTo(Edge o) { return Long.compare(this.cost, o.cost); } } class LowestCommonAncestor { int[] vs, depth, id; ArrayList<ArrayList<Edge>> T; SparseTableIndex sti; //Euler-Tour Technique public LowestCommonAncestor(ArrayList<ArrayList<Edge>> T, int root){ vs = new int[T.size()*2-1]; depth = new int[T.size()*2-1]; id = new int[T.size()]; this.T = T; dfsStack(root); sti = new SparseTableIndex(depth); } void dfsStack(int root){ ArrayDeque<int[]> stack = new ArrayDeque<>(); int k = 0; stack.addLast(new int[]{0, root, -1, 0}); while(!stack.isEmpty()){ int[] node = stack.removeLast(); int v = node[1], p = node[2], d = node[3]; if(node[0] == 0){ id[v] = k; vs[k] = v; depth[k] = d; k++; for(Edge edge : T.get(v)) { if (edge.to == p) continue; stack.addLast(new int[]{1, v, p, d}); stack.addLast(new int[]{0, edge.to, v, d+1}); } }else{ vs[k] = v; depth[k] = d; k++; } } } public int getLCA(int u, int v){ int L = Math.min(id[u], id[v]), R = Math.max(id[u], id[v]); return vs[sti.get(L, R+1)]; } class SparseTableIndex { int[][] table; int[] height; int[] v; public SparseTableIndex(int[] v){ init(v); } void init(int[] v){ this.v = Arrays.copyOf(v, v.length); int n = v.length, h = 0; while((1<<h) <= n) h++; table = new int[h][1<<h]; height = new int[n+1]; for(int i = 2; i <= n; i++) height[i] = height[i>>1]+1; for(int i = 0; i < n; i++) table[0][i] = i; for(int i = 1; i < h; i++) { for (int j = 0; j < n; j++) { int x = table[i - 1][j], y = table[i - 1][Math.min(j + (1 << (i - 1)), n - 1)]; table[i][j] = v[x] <= v[y] ? x : y; } } } public int get(int a, int b){ int l = height[b-a]; int x = table[l][a], y = table[l][b-(1<<l)]; return v[x] <= v[y] ? x : y; } } } public static void main(String[] args) { new Main().m(); } private void m() { in = new FastScanner(System.in); out = new PrintWriter(System.out); /* try { String path = "input.txt"; out = new PrintWriter(new BufferedWriter(new FileWriter(new File(path)))); }catch (IOException e){ e.printStackTrace(); } */ solve(); out.flush(); in.close(); out.close(); } static class FastScanner { private Reader input; public FastScanner() {this(System.in);} public FastScanner(InputStream stream) {this.input = new BufferedReader(new InputStreamReader(stream));} public void close() { try { this.input.close(); } catch (IOException e) { e.printStackTrace(); } } public int nextInt() {return (int) nextLong();} public long nextLong() { try { int sign = 1; int b = input.read(); while ((b < '0' || '9' < b) && b != '-' && b != '+') { b = input.read(); } if (b == '-') { sign = -1; b = input.read(); } else if (b == '+') { b = input.read(); } long ret = b - '0'; while (true) { b = input.read(); if (b < '0' || '9' < b) return ret * sign; ret *= 10; ret += b - '0'; } } catch (IOException e) { e.printStackTrace(); return -1; } } public double nextDouble() { try { double sign = 1; int b = input.read(); while ((b < '0' || '9' < b) && b != '-' && b != '+') { b = input.read(); } if (b == '-') { sign = -1; b = input.read(); } else if (b == '+') { b = input.read(); } double ret = b - '0'; while (true) { b = input.read(); if (b < '0' || '9' < b) break; ret *= 10; ret += b - '0'; } if (b != '.') return sign * ret; double div = 1; b = input.read(); while ('0' <= b && b <= '9') { ret *= 10; ret += b - '0'; div *= 10; b = input.read(); } return sign * ret / div; } catch (IOException e) { e.printStackTrace(); return Double.NaN; } } public char nextChar() { try { int b = input.read(); while (Character.isWhitespace(b)) { b = input.read(); } return (char) b; } catch (IOException e) { e.printStackTrace(); return 0; } } public String nextStr() { try { StringBuilder sb = new StringBuilder(); int b = input.read(); while (Character.isWhitespace(b)) { b = input.read(); } while (b != -1 && !Character.isWhitespace(b)) { sb.append((char) b); b = input.read(); } return sb.toString(); } catch (IOException e) { e.printStackTrace(); return ""; } } public String nextLine() { try { StringBuilder sb = new StringBuilder(); int b = input.read(); while (b != -1 && b != '\n') { sb.append((char) b); b = input.read(); } return sb.toString(); } catch (IOException e) { e.printStackTrace(); return ""; } } public int[] nextIntArray(int n) { int[] res = new int[n]; for (int i = 0; i < n; i++) { res[i] = nextInt(); } return res; } public int[] nextIntArrayDec(int n) { int[] res = new int[n]; for (int i = 0; i < n; i++) { res[i] = nextInt() - 1; } return res; } public int[] nextIntArray1Index(int n) { int[] res = new int[n + 1]; for (int i = 0; i < n; i++) { res[i + 1] = nextInt(); } return res; } public long[] nextLongArray(int n) { long[] res = new long[n]; for (int i = 0; i < n; i++) { res[i] = nextLong(); } return res; } public long[] nextLongArrayDec(int n) { long[] res = new long[n]; for (int i = 0; i < n; i++) { res[i] = nextLong() - 1; } return res; } public long[] nextLongArray1Index(int n) { long[] res = new long[n + 1]; for (int i = 0; i < n; i++) { res[i + 1] = nextLong(); } return res; } public double[] nextDoubleArray(int n) { double[] res = new double[n]; for (int i = 0; i < n; i++) { res[i] = nextDouble(); } return res; } } }