結果

問題 No.1976 Cut then Connect
ユーザー uwiuwi
提出日時 2022-06-10 22:12:17
言語 Java21
(openjdk 21)
結果
AC  
実行時間 610 ms / 2,000 ms
コード長 21,484 bytes
コンパイル時間 4,912 ms
コンパイル使用メモリ 93,588 KB
実行使用メモリ 66,080 KB
最終ジャッジ日時 2024-05-03 12:19:03
合計ジャッジ時間 15,780 ms
ジャッジサーバーID
(参考情報)
judge4 / judge1
このコードへのチャレンジ
(要ログイン)

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 70 ms
37,820 KB
testcase_01 AC 67 ms
37,548 KB
testcase_02 AC 554 ms
65,340 KB
testcase_03 AC 407 ms
59,104 KB
testcase_04 AC 216 ms
48,568 KB
testcase_05 AC 343 ms
54,404 KB
testcase_06 AC 554 ms
61,212 KB
testcase_07 AC 333 ms
53,576 KB
testcase_08 AC 603 ms
66,080 KB
testcase_09 AC 553 ms
63,740 KB
testcase_10 AC 233 ms
49,004 KB
testcase_11 AC 610 ms
65,332 KB
testcase_12 AC 126 ms
44,032 KB
testcase_13 AC 504 ms
60,932 KB
testcase_14 AC 511 ms
60,924 KB
testcase_15 AC 484 ms
60,252 KB
testcase_16 AC 550 ms
63,228 KB
testcase_17 AC 274 ms
50,768 KB
testcase_18 AC 143 ms
45,092 KB
testcase_19 AC 463 ms
61,212 KB
testcase_20 AC 593 ms
66,004 KB
testcase_21 AC 422 ms
59,300 KB
testcase_22 AC 69 ms
37,952 KB
testcase_23 AC 72 ms
38,024 KB
testcase_24 AC 74 ms
38,028 KB
testcase_25 AC 71 ms
37,652 KB
testcase_26 AC 70 ms
37,928 KB
testcase_27 AC 66 ms
37,644 KB
testcase_28 AC 69 ms
38,136 KB
testcase_29 AC 64 ms
37,704 KB
testcase_30 AC 67 ms
38,008 KB
testcase_31 AC 65 ms
37,992 KB
testcase_32 AC 74 ms
37,968 KB
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 contest220610;
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 F {
	InputStream is;
	FastWriter out;

	String INPUT = "";

	public void solve()
	{
		// 最大値じゃないのか…
		// 中心同士をつなぐとよさそう
		// even,evenで直径が同じなら、直径+1
		// even,oddでeven=odd-1, even=odd+1なら、直径+1
		// odd,oddで直径が同じなら直径+2
		// odd-odd=2ならmax+1

		int n = 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 = parents(g, 0);
		int[] par = pars[0], ord = pars[1], dep = pars[2];
		lf = LCAFast2.build(g, 0);
		Datum[][] du = omnidirectionalTreeDP(g, par, ord);
		int ans = Integer.MAX_VALUE;
		for(int i = 1;i < n;i++){
			int x = du[0][i].diam;
			int y = du[1][i].diam;
			if(x > y){
				int d = x; x = y; y = d;
			}
			if(x % 2 == 0 && y % 2 == 0){
				ans = Math.min(ans, x == y ? y + 1 : y);
			}else if(x % 2 == 1 && y % 2 == 1){
				if(x == y){
					ans = Math.min(ans, y+2);
				}else if(y == x + 2){
					ans = Math.min(ans, y+1);
				}else{
					ans = Math.min(ans, y);
				}
			}else{
				if(y == x + 1){
					ans = Math.min(ans, y+1);
				}else{
					ans = Math.min(ans, y);
				}
			}
		}
		out.println(ans);
	}

		public static class Datum {
			int arg1, arg2;
			int diam;

			public Datum() {
			}

			public Datum(int cur) {
				arg1 = arg2 = cur;
				diam = 0;
			}

			@Override
			public String toString() {
				return "Datum{" +
						"arg1=" + arg1 +
						", arg2=" + arg2 +
						", diam=" + diam +
						'}';
			}
		}

		public static Datum zero = new Datum();
		public static LCAFast2 lf;

		public static Datum merge(Datum a, Datum b) {
			Datum ret = new Datum();
			int d = -1;
			if(a.diam > d){
				d = a.diam; ret.arg1 = a.arg1; ret.arg2 = a.arg2;
			}
			if(b.diam > d){
				d = b.diam; ret.arg1 = b.arg1; ret.arg2 = b.arg2;
			}
			for(int u : new int[]{a.arg1, a.arg2}){
				for(int v : new int[]{b.arg1, b.arg2}){
					int td = lf.d(u, v);
					if(td > d){
						d = td; ret.arg1 = u; ret.arg2 = v;
					}
				}
			}
			ret.diam = d;
			return ret;
		}

		public static Datum promote(Datum d, int... e) {
			return merge(d, new Datum(e[0]));
		}


		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];
			Datum[] down = 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) {
						down[e] = merge(prefix[g[cur].length - 1 - j], suffix);
						fall[e] = promote(down[e], e);
					}
					suffix = par[cur] == e ? suffix : merge(suffix, promote(dp[e], e));
				}
			}

			return new Datum[][]{dp, down};
		}

	public static class LCAFast2 {
		public int n, h;
		public int[][] bigst;
		public int[][] bigind;
		public long[][] smallb;
		public int[] vs, first, deps;

		public int lca(int a, int b) {
			return vs[rmqpos(Math.min(first[a], first[b]), Math.max(first[a], first[b]))];
		}

		public int pointOnPath(int a, int b, int dfroma) {
			int lca = lca(a, b);
			if (dfroma <= dep(a) - dep(lca)) {
				return anc(a, dfroma);
			}
			int dfromb = dep(b) - dep(lca) - (dfroma - (dep(a) - dep(lca)));
			if (dfromb < 0) return -1;

			return anc(b, dfromb);
		}

		public int anc(int a, int d) {
			int da = dep(a);
			if (da < d) return -1;
			int danc = da - d;
			int low = 0, high = first[a] + 1;
			while (high - low > 1) {
				int h = high + low >> 1;
				if (rmqval(h, first[a]) <= danc) {
					low = h;
				} else {
					high = h;
				}
			}
			return vs[low];
		}

		public int d(int a, int b) {
			return dep(a) + dep(b) - 2 * rmqval(Math.min(first[a], first[b]), Math.max(first[a], first[b]));
		}

		public int dep(int x) {
			return deps[first[x]];
		}

		public int rmqpos(int l, int r) {
			if (l > r) return -1;
			int cl = l >>> 6;
			int cr = r >>> 6;
			if (cl == cr) {
				return argmax(smallb[l & 63][cl], r - l + 1) + l;
			} else {
				int min = deps[l] - max(smallb[l & 63][cl], 63 - (l & 63) + 1);
				int pos = argmax(smallb[l & 63][cl], 63 - (l & 63) + 1) + l;

				{
					int can = deps[r >>> 6 << 6] - max(smallb[0][cr], (r & 63) - 0 + 1);
					if (can < min) {
						min = can;
						pos = argmax(smallb[0][cr], (r & 63) - 0 + 1) + (r >>> 6 << 6);
					}
				}

				if (cl + 1 <= cr - 1) {
					int len = (cr - 1) - (cl + 1) + 1;
					int h = 31 - Integer.numberOfLeadingZeros(len);
					{
						int can = bigst[h][cl + 1];
						if (can < min) {
							min = can;
							pos = bigind[h][cl + 1];
						}
					}
					{
						int can = bigst[h][cr - 1 - (1 << h) + 1];
						if (can < min) {
							min = can;
							pos = bigind[h][cr - 1 - (1 << h) + 1];
						}
					}
				}
				return pos;
			}
		}

		public int rmqval(int l, int r) {
			if (l > r) return -1;
			int cl = l >>> 6;
			int cr = r >>> 6;
			if (cl == cr) {
				return deps[l] - max(smallb[l & 63][cl], r - l + 1);
			} else {
				int min = deps[l] - max(smallb[l & 63][cl], 63 - (l & 63) + 1);
				min = Math.min(min, deps[r >>> 6 << 6] - max(smallb[0][cr], (r & 63) - 0 + 1));

				if (cl + 1 <= cr - 1) {
					int len = (cr - 1) - (cl + 1) + 1;
					int h = 31 - Integer.numberOfLeadingZeros(len);
					min = Math.min(min, bigst[h][cl + 1]);
					min = Math.min(min, bigst[h][cr - 1 - (1 << h) + 1]);
				}
				return min;
			}
		}

		public static LCAFast2 build(int[][] g, int root) {
			LCAFast2 ret = new LCAFast2();
			int[][] et = eulerTour(g, root);
			int[] vs = et[0], deps = et[1], first = et[2];
			ret.vs = vs;
			ret.first = first;
			ret.deps = deps;

			int n = deps.length;
			int u = n + 63 >>> 6;
			int h = 31 - Integer.numberOfLeadingZeros(u) + 1;
			int[][] bigst = new int[h][];
			int[][] bigind = new int[h][];
			int[] cup = new int[u];
			int[] cupind = new int[u];
			Arrays.fill(cup, Integer.MAX_VALUE);
			for (int i = 0; i < n; i++) {
				if (deps[i] < cup[i >>> 6]) {
					cup[i >>> 6] = deps[i];
					cupind[i >>> 6] = i;
				}
			}
			bigst[0] = cup;
			bigind[0] = cupind;
			for (int i = 1; i < h; i++) {
				bigst[i] = new int[u - (1 << i) + 1];
				bigind[i] = new int[u - (1 << i) + 1];
				for (int j = 0; j + (1 << i) <= u; j++) {
					if (bigst[i - 1][j] < bigst[i - 1][j + (1 << i - 1)]) {
						bigst[i][j] = bigst[i - 1][j];
						bigind[i][j] = bigind[i - 1][j];
					} else {
						bigst[i][j] = bigst[i - 1][j + (1 << i - 1)];
						bigind[i][j] = bigind[i - 1][j + (1 << i - 1)];
					}
				}
			}

			long[][] smallb = new long[64][u];
			for (int i = 0; i < u; i++) {
				long x = 0;
				for (int j = 0; j < 63 && (i << 6 | j + 1) < n; j++) {
					if (deps[i << 6 | j] > deps[i << 6 | j + 1]) {
						x |= 1L << j;
					}
				}
				long val = 0;
				for (int j = 63; j >= 0; j--) {
					val <<= 1;
					if (x << ~j < 0) {
						val |= 1L;
					} else {
						val &= val - 1;
					}
					smallb[j][i] = val;
				}
				//
				//			for(int j = 0;j < 64;j++){
				//				smallb[j][i] = make(x>>>j);
				//			}
			}

			ret.n = n;
			ret.h = h;
			ret.bigst = bigst;
			ret.bigind = bigind;
			ret.smallb = smallb;
			return ret;
		}

		public static int[][] eulerTour(int[][] g, int root) {
			int n = g.length;
			int[] vs = new int[2 * n - 1];
			int[] deps = new int[2 * n - 1];
			int[] first = new int[n];
			Arrays.fill(first, -1);
			int p = 0;

			int[] stack = new int[n];
			int[] inds = new int[n];
			int sp = 0;
			stack[sp++] = root;
			outer:
			while (sp > 0) {
				int cur = stack[sp - 1], ind = inds[sp - 1];
				vs[p] = cur;
				deps[p] = sp - 1;
				if (first[cur] == -1) first[cur] = p;
				p++;
				while (ind < g[cur].length) {
					int nex = g[cur][ind++];
					if (first[nex] == -1) {
						inds[sp - 1] = ind;
						stack[sp] = nex;
						inds[sp] = 0;
						sp++;
						continue outer;
					}
				}
				inds[sp - 1] = ind;
				if (ind == g[cur].length) sp--;
			}

			return new int[][]{vs, deps, first};
		}

		// TinyRMQ
		public static long make(long x) {
			int h = 0;
			int max = 0;
			long ret = 0;
			for (int i = 0; i < 64; i++) {
				if (x << ~i < 0) {
					h++;
				} else {
					h--;
				}
				if (h > max) {
					max = h;
					ret |= 1L << i;
				}
			}
			return ret;
		}

		public static int max(long x, int r) {
			assert r > 0;
			return Long.bitCount(x & (1L << r - 1) - 1);
		}

		public static int argmax(long x, int r) {
			assert r > 0;
			return 64 - Long.numberOfLeadingZeros(x & (1L << r - 1) - 1);
		}
	}


	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 F().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[][] 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[] 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)); }
}
0