結果

問題 No.650 行列木クエリ
ユーザー tanzakutanzaku
提出日時 2017-03-24 01:24:22
言語 Java21
(openjdk 21)
結果
RE  
実行時間 -
コード長 8,615 bytes
コンパイル時間 4,985 ms
コンパイル使用メモリ 84,464 KB
実行使用メモリ 71,756 KB
最終ジャッジ日時 2024-07-18 01:24:41
合計ジャッジ時間 6,861 ms
ジャッジサーバーID
(参考情報)
judge5 / judge1
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 83 ms
52,868 KB
testcase_01 AC 589 ms
65,604 KB
testcase_02 RE -
testcase_03 AC 90 ms
52,980 KB
testcase_04 AC 574 ms
66,308 KB
testcase_05 RE -
testcase_06 AC 96 ms
52,976 KB
testcase_07 AC 78 ms
51,404 KB
testcase_08 AC 811 ms
71,756 KB
testcase_09 RE -
testcase_10 AC 79 ms
51,076 KB
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ソースコード

diff #

import java.io.*;
import java.util.*;


public class _p1317_Validate {
	public static void main(String[] args) throws IOException {
		new _p1317_Validate().solve();
	}
	
	static int mod = (int)1e9+7;
	void solve() throws IOException {
		try (final InputValidator in = new InputValidator(System.in)) {
			int n = in.nextInt(1, 20000);
			LinkCutTree[] tree = new LinkCutTree[n];
			g = new List[n];
			for (int i = 0; i < n; i++) {
				tree[i] = new LinkCutTree(i);
				g[i] = new ArrayList<>();
			}
			in.newLine();
			UnionFind uf = new UnionFind(n);
			int[][] es = new int[n-1][];
			for (int i = 0; i < n - 1; i++) {
				int a = in.nextInt(0, n - 1);
				in.space();
				int b = in.nextInt(0, n - 1);
				in.newLine();
				es[i] = new int[]{a,b};
				uf.union(a, b);
				g[a].add(b);
				g[b].add(a);
			}
			
			par = new int[n];
			init(0, -1);
			
			for (int[] e : es) {
				if (par[e[0]] == e[1]) {
					int tmp = e[0];
					e[0] = e[1];
					e[1] = tmp;
				}
				tree[e[1]].link(tree[e[0]]);
			}

			int q = in.nextInt(1, 20000);
			in.newLine();
			while (q-- > 0) {
				char c = in.nextChar();
				in.space();
				if (c == 'x') {
					int i = in.nextInt(0, n - 2);	in.space();
					int x00 = in.nextInt(0, 1000);	in.space();
					int x01 = in.nextInt(0, 1000);	in.space();
					int x10 = in.nextInt(0, 1000);	in.space();
					int x11 = in.nextInt(0, 1000);	in.newLine();
					tree[es[i][1]].set(new long[]{x00,x01,x10,x11});
					
				} else if (c == 'g') {
					int u = in.nextInt(0, n - 1);	in.space();
					int v = in.nextInt(0, n - 1);	in.newLine();
					
					long[] tmp = tree[u].value;
					tree[u].expose();
					LinkCutTree p = tree[u].cut();
					tree[u].set(id);
					tree[v].expose();
					long[] ans = tree[v].sum;
					System.out.println(ans[0] + " " + ans[1] + " " + ans[2] + " " + ans[3]);
					tree[u].set(tmp);
					tree[u].link(p);
					
				} else {
					throw new RuntimeException();
				}
			}
			in.eof();
		}
	}
	
	void debug(LinkCutTree t, String path) {
		if (t != null) {
			debug(t.left, path + "L");
			dump(t.value, t.sum, t.index, path);
			debug(t.right, path + "R");
		}
	}
	
	List<Integer>[] g;
	int[] par;
	
	void init(int v, int p) {
		par[v] = p;
//		dump("par", v, p);
		for (int t : g[v]) if (t != p) init(t, v);
	}
	
	static long[] merge(long[] l, long[] r) {
		long[] res = new long[4];
		res[0] = (l[0] * r[0] + l[1] * r[2]) % mod;
		res[1] = (l[0] * r[1] + l[1] * r[3]) % mod;
		res[2] = (l[2] * r[0] + l[3] * r[2]) % mod;
		res[3] = (l[2] * r[1] + l[3] * r[3]) % mod;
		return res;
	}

	final static long[] id = new long[]{1,0,0,1,};
	
	static class LinkCutTree {
		LinkCutTree parent;
		LinkCutTree left;
		LinkCutTree right;
		boolean rev;
		long[] value;
		long[] sum;
		final int index;
		
		void debug() {
			dump(value, sum, index);
		}
		
		boolean isSplayRoot() {
			return parent == null ||
					parent.left != this && parent.right != this;
		}
		
		public LinkCutTree(final int index) {
			this.index = index;
			this.value = id;
			this.sum = id;
		}
		
		public void set(long[] value) {
			expose();
			this.value = value;
			update();
		}
		
		public long[] sum() {
			expose();
			return sum;
//			if (left == null) return value;
//			return merge(left.sum, value);
		}
		
		private void update() {
			sum = value;
			if (left != null) sum = merge(left.sum, sum);
			if (right != null) sum = merge(sum, right.sum);
		}
		
		public static LinkCutTree lca(LinkCutTree u, LinkCutTree v) {
			if(u == v) return u;
			LinkCutTree a = u.findRoot();
			LinkCutTree b = v.findRoot();
			if(a != b) {
				return null;
			}
			u.splay();
			if(u.parent != null && u.parent.left != u && u.parent.right != u) {
				return u.parent;
			}
			return u;
		}
		
		public void evert() {
			expose();
			rev = !rev;
		}
		
		private void expose() {
			LinkCutTree x = this;
			LinkCutTree r = null;
			for(LinkCutTree p = x; p != null; p = p.parent) {
				p.splay();
				p.right = r;
				r = p;
			}
			x.splay();
		}
		
		public LinkCutTree findRoot() {
			LinkCutTree v = this;
			v.expose();
			while(v.left != null)
				v = v.left;
			v.splay();
			return v;
		}
		
		public LinkCutTree cut() {
			expose();
			if (left == null) return null;
			LinkCutTree p = left;
			left = null;
			p.parent = null;
			while (p.right != null) p = p.right;
			update();
			p.splay();
			return p;
		}
		
		public void link(LinkCutTree p) {
			if (p == null) return;
			expose();
			p.expose();
			parent = p;
			p.right = this;
			p.update();
		}
		
		static void rotateRight(LinkCutTree x) {
			final LinkCutTree p = x.parent;
			final LinkCutTree g = p.parent;
			p.left = x.right;
			if(x.right != null) { x.right.parent = p; }
			p.parent = x;
			x.right = p;
			x.parent = g;
			p.update();
			x.update();
			if(g != null) {
				if(g.left == p) g.left = x;
				else if(g.right == p) g.right = x;
				g.update();
			}
		}
		
		static void rotateLeft(LinkCutTree x) {
			final LinkCutTree p = x.parent;
			final LinkCutTree g = p.parent;
			p.right = x.left;
			if(x.left != null) { x.left.parent = p; }
			p.parent = x;
			x.left = p;
			x.parent = g;
			p.update();
			x.update();
			if(g != null) {
				if(g.left == p) g.left = x;
				else if(g.right == p) g.right = x;
				g.update();
			}
		}
		
		private void pushDown() {
			if (rev) {
				LinkCutTree t = left; left = right; right = t;
				if (left != null) left.rev = !left.rev;
				if (right != null) right.rev = !right.rev;
				rev = false;
			}
		}
		
		protected void splay() {
			final LinkCutTree x = this;
			while(!x.isSplayRoot()) {
				final LinkCutTree p = x.parent;
				if(p.isSplayRoot()) {
					p.pushDown();
					x.pushDown();
					// zig step
					if(p.left == x) { rotateRight(x); }
					else { rotateLeft(x); }
				}
				else {
					final LinkCutTree g = p.parent;
					g.pushDown();
					p.pushDown();
					x.pushDown();
					// zig-zig step / zig-zag step
					if(g.left == p) {
						if(p.left == x) { rotateRight(p); rotateRight(x); }
						else { rotateLeft(x); rotateRight(x); }
					}
					else {
						if(p.left == x) { rotateRight(x); rotateLeft(x); }
						else { rotateLeft(p); rotateLeft(x); }
					}
				}
			}
		}
	}

	static class UnionFind {
		private int[] data;
		
		public UnionFind(int size) {
			data = new int[size];
			clear();
		}
		
		public void clear() {
			Arrays.fill(data, -1);
		}
		
		public int root(int x) { return data[x] < 0 ? x : (data[x] = root(data[x])); }
		
		public void union(int x, int y) {
			if((x = root(x)) == (y = root(y))) {
				throw new RuntimeException();
			}
			if(data[y] < data[x]) { final int t = x; x = y; y = t; }
			data[x] += data[y];
			data[y] = x;
		}
		
		public boolean same(int x, int y) { return root(x) == root(y); }
		public int size(int x) { return -data[root(x)]; }
	}
	
	// for debug
	static void dump(Object... o) {
		System.err.println(Arrays.deepToString(o));
	}
	
	static class InputValidator implements Closeable {
		final InputStream in;
		
		final int NO_BUFFER = -2;
		int buffer;
		
		public InputValidator(final InputStream in) {
			this.in = in;
			buffer = NO_BUFFER;
		}
		
		public char nextChar() throws IOException {
			int res = read();
			check(Character.isLetterOrDigit(res));
			return (char)res;
		}

		int read() throws IOException {
			final int res = buffer == NO_BUFFER ? in.read() : buffer;
			buffer = NO_BUFFER;
			return res;
		}
		
		void unread(int ch) throws IOException {
			buffer = ch;
		}
		
		// [low, high]
		long nextLong(long low, long high) throws IOException {
			long val = 0;
			int ch = -1;
			boolean read = false;
			while (true) {
				ch = read();
				if (!Character.isDigit(ch)) break;
				read = true;
				val = val * 10 + ch - '0';
				check(val <= high);
			}
			check(read);
			check(ch >= 0);
			check(val >= low);
			unread(ch);
			return val;
		}
		int nextInt(int low, int high) throws IOException { return (int)nextLong(low, high); }
		int[] nextInts(int n, int low, int high) throws IOException {
			int[] res = new int[n];
			for (int i = 0; i < n; i++) {
				res[i] = nextInt(low, high);
				if (i + 1 != n) space();
			}
			newLineOrEOF();
			return res;
		}
		
		void space() throws IOException { int ch = read(); check(ch == ' '); }
		void newLine() throws IOException {
			int ch = read();
			if (ch == '\r') ch = read();
			check(ch == '\n');
		}
		void newLineOrEOF() throws IOException { int ch = read(); check(ch == '\r' || ch == '\n' || ch < 0); }
		void eof() throws IOException { int ch = read(); check(ch < 0); }
		void check(boolean b) { if (!b) throw new RuntimeException(); }

		@Override
		public void close() throws IOException {
		}
	}
}
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