結果

問題 No.1038 TreeAddQuery
ユーザー uwiuwi
提出日時 2020-04-24 22:26:39
言語 Java21
(openjdk 21)
結果
MLE  
(最新)
AC  
(最初)
実行時間 -
コード長 11,057 bytes
コンパイル時間 4,455 ms
コンパイル使用メモリ 90,020 KB
実行使用メモリ 753,852 KB
最終ジャッジ日時 2024-05-03 23:13:51
合計ジャッジ時間 41,378 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
このコードへのチャレンジ
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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 52 ms
37,056 KB
testcase_01 AC 53 ms
37,132 KB
testcase_02 AC 53 ms
36,652 KB
testcase_03 AC 135 ms
40,816 KB
testcase_04 AC 146 ms
41,600 KB
testcase_05 AC 132 ms
41,600 KB
testcase_06 AC 132 ms
41,448 KB
testcase_07 AC 142 ms
41,792 KB
testcase_08 AC 1,741 ms
100,224 KB
testcase_09 AC 1,727 ms
95,488 KB
testcase_10 AC 2,006 ms
95,456 KB
testcase_11 AC 2,168 ms
96,020 KB
testcase_12 AC 1,754 ms
97,996 KB
testcase_13 AC 2,337 ms
119,324 KB
testcase_14 AC 2,721 ms
119,804 KB
testcase_15 AC 2,431 ms
103,240 KB
testcase_16 AC 2,396 ms
117,188 KB
testcase_17 AC 2,113 ms
100,600 KB
testcase_18 AC 757 ms
91,216 KB
testcase_19 AC 1,024 ms
100,236 KB
testcase_20 AC 962 ms
103,820 KB
testcase_21 AC 1,042 ms
87,132 KB
testcase_22 AC 1,088 ms
94,580 KB
testcase_23 AC 1,195 ms
94,600 KB
testcase_24 AC 1,437 ms
102,088 KB
testcase_25 AC 2,472 ms
116,708 KB
testcase_26 MLE -
権限があれば一括ダウンロードができます

ソースコード

diff # 

package contest200424;
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 F {
	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);
		int[][] pars = parents3(g, 0);
		int[] par = pars[0], ord = pars[1], dep = pars[2];
		
		int[] cpar = buildCentroidTree(g);
		maxds = new int[n];
		ctneck = new int[n];
		Context cx = dfsTopCT(cpar, g);
		
		long[][] plus = new long[n][];
		long[] plusall = new long[n];
		for(int i = 0;i < n;i++){
			plus[i] = new long[maxds[i]+1+3];
		}
		
		long[][][] minus = new long[n][][];
		long[][] minusall = new long[n][];
		for(int i = 0;i < n;i++){
			minus[i] = new long[ctneck[i]][maxds[i]+1+3];
			minusall[i] = new long[ctneck[i]];
		}
		
		int[][] spar = logstepParents(par);
		
		for(int z = 0;z < Q;z++){
			int x = ni()-1, D = ni(), Z = ni();
			long val = 0;
			for(int u = x;u != -1;u = cpar[u]){
				int d = d(u, x, spar, dep);
//				tr(x, D, Z, u, d);
//				tr(plusall[u], restoreFenwick(plus[u]));
				val += plusall[u] - sumFenwick(plus[u], d-1);
//				tr(val);
				if(d <= D){
					addFenwick(plus[u], Math.min(maxds[u], D-d), Z);
					plusall[u] += Z;
				}
				int neckind = cx.neckind[u];
				int pu = cpar[u];
				if(pu != -1){
					int pd = d(pu, x, spar, dep);
					val -= minusall[pu][neckind] - sumFenwick(minus[pu][neckind], Math.min(pd-1, maxds[pu]));
					if(D-pd >= 0){
						addFenwick(minus[pu][neckind], Math.min(maxds[pu], D-pd), Z);
						minusall[pu][neckind] += Z;
					}
				}
			}
			out.println(val);
		}
	}
	
	public static long[] restoreFenwick(long[] ft)
	{
		int n = ft.length-1;
		long[] ret = new long[n];
		for(int i = 0;i < n;i++)ret[i] = sumFenwick(ft, i);
		for(int i = n-1;i >= 1;i--)ret[i] -= ret[i-1];
		return ret;
	}

	
	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;
	}

	
	static int d(int x, int y, int[][] spar, int[] dep)
	{
		int lca = lca2(x, y, spar, dep);
		return dep[x] + dep[y] - 2*dep[lca];
	}
	
	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;
	}

	/**
	 * 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
	 * vss: vertices. vss[j] = (j番目のneckにある頂点のpreorder)
	 * ctch: children of centroid tree
	 * stack, inds: 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[][] vss; // [neckind][vertices]
		int[][] ctch;
		int[][] g;
		int[] stack;
		int[] inds;
		int[] neckind;
		int[] cpar;
	}
	
	int[] maxds;
	int[] ctneck;

	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.vss = new int[n][];
		cx.ctch = parentToChildren(cpar);
		cx.g = g;
		cx.stack = new int[n];
		cx.inds = new int[n];
		cx.neckind = new int[n];
		dfs(ctroot, cx);
		return cx;
	}
	
	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.neckind[cur] = neckp;
				}
				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.vss[neckp] = Arrays.copyOf(cx.vs, vsp);
			neckp++;
		}
		
		ctneck[sep] = neckp;
		
		process(sep, cx, Arrays.copyOf(cx.vss, neckp));
		
		for(int e : cx.ctch[sep])dfs(e, 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 process(int sep, Context cx, int[][] vss)
	{
		for(int[] vs : vss){
			for(int v : vs){
				maxds[sep] = Math.max(maxds[sep], cx.dt[v]);
			}
		}
	}
	
	public static int lca2(int a, int b, int[][] spar, int[] depth) {
		if (depth[a] < depth[b]) {
			b = ancestor(b, depth[b] - depth[a], spar);
		} else if (depth[a] > depth[b]) {
			a = ancestor(a, depth[a] - depth[b], spar);
		}

		if (a == b)
			return a;
		int sa = a, sb = b;
		for (int low = 0, high = depth[a], t = Integer.highestOneBit(high), k = Integer
				.numberOfTrailingZeros(t); t > 0; t >>>= 1, k--) {
			if ((low ^ high) >= t) {
				if (spar[k][sa] != spar[k][sb]) {
					low |= t;
					sa = spar[k][sa];
					sb = spar[k][sb];
				} else {
					high = low | t - 1;
				}
			}
		}
		return spar[0][sa];
	}

	protected static int ancestor(int a, int m, int[][] spar) {
		for (int i = 0; m > 0 && a != -1; m >>>= 1, i++) {
			if ((m & 1) == 1)
				a = spar[i][a];
		}
		return a;
	}

	public static int[][] logstepParents(int[] par) {
		int n = par.length;
		int m = Integer.numberOfTrailingZeros(Integer.highestOneBit(n - 1)) + 1;
		int[][] pars = new int[m][n];
		pars[0] = par;
		for (int j = 1; j < m; j++) {
			for (int i = 0; i < n; i++) {
				pars[j][i] = pars[j - 1][i] == -1 ? -1 : pars[j - 1][pars[j - 1][i]];
			}
		}
		return pars;
	}



	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 F().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)); }
}
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