Problem: For the simplicity, let's say that the "Death Note" is a notebook that kills a person when their name is written in it.

It's easy to kill with it, but it's pretty hard to keep track of people you haven't killed and still plan to. You decided to make a "Death Database Management System" — a computer program that provides the easy access to the database of possible victims. Let me describe its specifications to you.

Let's define a victim entity: a victim has a name (not necessarily unique) that consists only of lowercase Latin letters and an integer suspicion value.

At the start of the program the user enters a list of n victim names into a database, each suspicion value is set to 0.

Then the user makes queries of two types: 

  * 1~i~x — set the suspicion value of the i-th victim to x; 
  * 2~q — given a string q find the maximum suspicion value of a victim whose name is a contiguous substring of q. 



Just to remind you, this program doesn't kill people, it only helps to search for the names to write down in an actual notebook. Thus, the list of the victims in the database doesn't change throughout the queries.

What are you waiting for? Write that program now!

Input

The first line contains two integers n and m (1 ≤ n, m ≤ 3 ⋅ 10^5) — the number of victims and the number of queries, respectively.

Each of the next n lines contains a single string s_i — the name of the i-th victim. Each name consists only of lowercase Latin letters.

Each of the next m lines contains a query of one of two types: 

  * 1~i~x (1 ≤ i ≤ n, 0 ≤ x ≤ 10^9) — change the suspicion value of the i-th victim to x; 
  * 2~q — given a string q consisting only of lowercase Latin letters find the maximum suspicion value of a victim whose name is a contiguous substring of q. 



There is at least one query of the second type. The total length of the strings s_i doesn't exceed 3 ⋅ 10^5. The total length of the strings q doesn't exceed 3 ⋅ 10^5. 

Output

For each query of the second type print an integer value. If there is no victim name that is a contiguous substring of q, then print -1. Otherwise, print the maximum suspicion value of a victim whose name is a contiguous substring of q.

Examples

Input


5 8
kurou
takuo
takeshi
naomi
shingo
2 nakiraomi
2 abanaomicaba
1 3 943
2 takuotakeshishingo
1 5 135832
2 shingotakeshi
1 5 0
2 shingotakeshi


Output


-1
0
943
135832
943


Input


6 15
a
ab
ba
b
a
ba
2 aa
1 4 4
2 bbb
1 2 1
1 2 18
2 b
2 c
1 6 10
2 aba
2 abbbba
1 2 12
2 bbaaab
1 1 11
1 5 5
2 baa


Output


0
4
4
-1
18
18
12
11

Solution (in JAVA):

Solution:
//package ecr97;

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

public class G {
	InputStream is;
	FastWriter out;
	String INPUT = "";

	void solve()
	{
		int n = ni(), Q = ni();
		TrieByList trie = new TrieByList();
		for(int i = 0;i < n;i++){
			trie.add(ns().toCharArray(), i);
		}
		trie.buildFailure();
		TrieByList.Node[] nodes = trie.toArray();
		int[] par = new int[nodes.length];
		par[0] = -1;
		int m = nodes.length;
		for(int i = 1;i < nodes.length;i++){
			par[i] = nodes[i].fail.id;
		}
		int[][] g = parentToG(par);

		int[][] pars = parents(g, 0);
		int[] ord = pars[1], dep = pars[2];
		HeavyLightDecomposition hld = new HeavyLightDecomposition(g, par, ord, dep);

		SegmentTreeRMQ[] sts = new SegmentTreeRMQ[hld.m];
		for(int i = 0;i < hld.m;i++){
			sts[i] = new SegmentTreeRMQ(hld.cluspath[i].length);
		}
		MinHeap[] hs = new MinHeap[m];
		int[] to = new int[n];
		Arrays.fill(to, -1);
		for(int i = 0;i < m;i++){
			if(nodes[i].hit != null){
				hs[i] = new MinHeap(nodes[i].hit.size());
				int p = 0;
				for(int id : nodes[i].hit){
					hs[i].add(p++, 0);
					to[id] = i;
				}
				sts[hld.clus[i]].update(hld.clusiind[i], 0);
			}
		}

		for(int z = 0;z < Q;z++){
			int t = ni();
			if(t == 1){
				int id = ni()-1, x = ni();
				hs[to[id]].update(
						Collections.binarySearch(nodes[to[id]].hit, id),
				-x);
				sts[hld.clus[to[id]]].update(hld.clusiind[to[id]], hs[to[id]].min());
			}else{
				char[] ne = ns().toCharArray();
				TrieByList.Node cur = trie.root;
				int max = -1;
				for(char c : ne){
					TrieByList.Node nex = trie.next(cur, c);
					for(int x = nex.id;x != -1;){
						int cx = hld.clus[x];
						int r = hld.clusiind[x];

						int v = -sts[cx].min(0, r+1);
						max = Math.max(max, v);

						x = par[hld.cluspath[cx][0]];
					}
					cur = nex;
				}
				out.println(max);
			}
		}
	}

	public static class MinHeap {
		public int[] a;
		public int[] map;
		public int[] imap;
		public int n;
		public int pos;
		public static int INF = Integer.MAX_VALUE;

		public MinHeap(int m)
		{
			n = m+2;
			a = new int[n];
			map = new int[n];
			imap = new int[n];
			Arrays.fill(a, INF);
			Arrays.fill(map, -1);
			Arrays.fill(imap, -1);
			pos = 1;
		}

		public int add(int ind, int x)
		{
			int ret = imap[ind];
			if(imap[ind] < 0){
				a[pos] = x; map[pos] = ind; imap[ind] = pos;
				pos++;
				up(pos-1);
			}
			return ret != -1 ? a[ret] : x;
		}

		public int update(int ind, int x)
		{
			int ret = imap[ind];
			if(imap[ind] < 0){
				a[pos] = x; map[pos] = ind; imap[ind] = pos;
				pos++;
				up(pos-1);
			}else{
				int o = a[ret];
				a[ret] = x;
				up(ret);
				down(ret);
				//			if(a[ret] > o){
				//				up(ret);
				//			}else{
				//				down(ret);
				//			}
			}
			return x;
		}

		public int remove(int ind)
		{
			if(pos == 1)return INF;
			if(imap[ind] == -1)return INF;

			pos--;
			int rem = imap[ind];
			int ret = a[rem];
			map[rem] = map[pos];
			imap[map[pos]] = rem;
			imap[ind] = -1;
			a[rem] = a[pos];
			a[pos] = INF;
			map[pos] = -1;

			up(rem);
			down(rem);
			return ret;
		}

		public int min() { return a[1]; }
		public int argmin() { return map[1]; }
		public int size() {	return pos-1; }

		private void up(int cur)
		{
			for(int c = cur, p = c>>>1;p >= 1 && a[p] > a[c];c>>>=1, p>>>=1){
				int d = a[p]; a[p] = a[c]; a[c] = d;
				int e = imap[map[p]]; imap[map[p]] = imap[map[c]]; imap[map[c]] = e;
				e = map[p]; map[p] = map[c]; map[c] = e;
			}
		}

		private void down(int cur)
		{
			for(int c = cur;2*c < pos;){
				int b = a[2*c] < a[2*c+1] ? 2*c : 2*c+1;
				if(a[b] < a[c]){
					int d = a[c]; a[c] = a[b]; a[b] = d;
					int e = imap[map[c]]; imap[map[c]] = imap[map[b]]; imap[map[b]] = e;
					e = map[c]; map[c] = map[b]; map[b] = e;
					c = b;
				}else{
					break;
				}
			}
		}
	}


	public static class SegmentTreeRMQ {
		public final int M, H, N;
		public int[] vals;
		public static final int I = Integer.MAX_VALUE;

		public SegmentTreeRMQ(int n)
		{
			N = n;
			M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
			H = M>>>1;
			vals = new int[M];
			Arrays.fill(vals, 0, M, I/2);
		}

		public SegmentTreeRMQ(int[] a)
		{
			this(a.length);
			for(int i = 0;i < N;i++){
				vals[H+i] = a[i];
			}
			//		Arrays.fill(vals, H+N, M, I);
			for(int i = H-1;i >= 1;i--)propagate(i);
		}

		public void update(int pos, int x)
		{
			vals[H+pos] = x;
			for(int i = (H+pos)>>>1;i >= 1;i >>>= 1)propagate(i);
		}

		private void propagate(int i)
		{
			vals[i] = Math.min(vals[2*i], vals[2*i+1]);
		}

		public int min(int l, int r){
			int min = I/2;
			if(l >= r)return min;
			l += H; r += H;
			for(;l < r;l>>>=1,r>>>=1){
				if((l&1) == 1)min = Math.min(min, vals[l++]);
				if((r&1) == 1)min = Math.min(min, vals[--r]);
			}
			return min;
		}

		public int firstle(int l, int v) {
			if(l >= H)return -1;
			int cur = H+l;
			while(true){
				if(vals[cur] <= v){
					if(cur >= H)return cur-H;
					cur = 2*cur;
				}else{
					cur++;
					if((cur&cur-1) == 0)return -1;
					if((cur&1)==0)cur>>>=1;
				}
			}
		}

		public int lastle(int l, int v) {
			if(l < 0)return -1;
			int cur = H+l;
			while(true){
				if(vals[cur] <= v){
					if(cur >= H)return cur-H;
					cur = 2*cur + 1;
				}else{
					if((cur&cur-1) == 0)return -1;
					cur--;
					if((cur&1)==1)cur>>>=1;
				}
			}
		}
	}


	public static int[] sortByPreorder(int[][] g, int root){
		int n = g.length;
		int[] stack = new int[n];
		int[] ord = new int[n];
		boolean[] ved = new boolean[n];
		stack[0] = root;
		int p = 1;
		int r = 0;
		ved[root] = true;
		while(p > 0){
			int cur = stack[p-1];
			ord[r++] = cur;
			p--;
			for(int e : g[cur]){
				if(!ved[e]){
					ved[e] = true;
					stack[p++] = e;
				}
			}
		}
		return ord;
	}

	/**
	 * ルートrootの木gに対し、行きがけ順で訪れたときの各ノードの子孫を表す範囲の終端を計算する。
	 * 格納はソート順で行われている。ルートが[0]に対応する。
	 * [ord, iord, right]
	 *
	 * @usage ノード番号xに対して対応する範囲は[iord[x], right[iord[x]]].
	 * @param g
	 * @param par
	 * @param root
	 * @return
	 */
	public static int[][] makeRights(int[][] g, int[] par, int root)
	{
		int n = g.length;
		int[] ord = sortByPreorder(g, root);
		int[] iord = new int[n];
		for(int i = 0;i < n;i++)iord[ord[i]] = i;

		int[] right = new int[n];
		for(int i = n-1;i >= 1;i--){
			if(right[i] == 0)right[i] = i;
			int p = iord[par[ord[i]]];
			right[p] = Math.max(right[p], right[i]);
		}
		return new int[][]{ord, iord, right};
	}


	public static int[][] parentToG(int[] par)
	{
		int n = par.length;
		int[] ct = new int[n];
		for(int i = 0;i < n;i++){
			if(par[i] >= 0){
				ct[i]++;
				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;
				g[i][--ct[i]] = par[i];
			}
		}
		return g;
	}

	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 class HeavyLightDecomposition {
		public int[][] g;
		public int[] clus;
		public int[][] cluspath;
		public int[] clusiind;
		public int[] par, dep;
		public int m;

		public HeavyLightDecomposition(int[][] g, int[] par, int[] ord, int[] dep)
		{
			init(g, par, ord, dep);
		}

		public void init(int[][] g, int[] par, int[] ord, int[] dep)
		{
			clus = decomposeToHeavyLight(g, par, ord);
			cluspath = clusPaths(clus, ord);
			clusiind = clusIInd(cluspath, g.length);
			this.m = cluspath.length;
			this.par = par;
			this.dep = dep;
			this.g = g;
		}

		public static int[] decomposeToHeavyLight(int[][] g, int[] par, int[] ord)
		{
			int n = g.length;
			int[] size = new int[n];
			Arrays.fill(size, 1);
			for(int i = n-1;i > 0;i--)size[par[ord[i]]] += size[ord[i]];

			int[] clus = new int[n];
			Arrays.fill(clus, -1);
			int p = 0;
			for(int i = 0;i < n;i++){
				int u = ord[i];
				if(clus[u] == -1)clus[u] = p++;
				// centroid path (not heavy path)
				int argmax = -1;
				for(int v : g[u]){
					if(par[u] != v && (argmax == -1 || size[v] > size[argmax]))argmax = v;
				}
				if(argmax != -1)clus[argmax] = clus[u];
			}
			return clus;
		}

		public static int[][] clusPaths(int[] clus, int[] ord)
		{
			int n = clus.length;
			int[] rp = new int[n];
			int sup = 0;
			for(int i = 0;i < n;i++){
				rp[clus[i]]++;
				sup = Math.max(sup, clus[i]);
			}
			sup++;

			int[][] row = new int[sup][];
			for(int i = 0;i < sup;i++)row[i] = new int[rp[i]];

			for(int i = n-1;i >= 0;i--){
				row[clus[ord[i]]][--rp[clus[ord[i]]]] = ord[i];
			}
			return row;
		}

		public static int[] clusIInd(int[][] clusPath, int n)
		{
			int[] iind = new int[n];
			for(int[] path : clusPath){
				for(int i = 0;i < path.length;i++){
					iind[path[i]] = i;
				}
			}
			return iind;
		}

		public int lca(int x, int y)
		{
			int rx = cluspath[clus[x]][0];
			int ry = cluspath[clus[y]][0];
			while(clus[x] != clus[y]){
				if(dep[rx] > dep[ry]){
					x = par[rx];
					rx = cluspath[clus[x]][0];
				}else{
					y = par[ry];
					ry = cluspath[clus[y]][0];
				}
			}
			return clusiind[x] > clusiind[y] ? y : x;
		}

		public int ancestor(int x, int v)
		{
			while(x != -1){
				if(v <= clusiind[x])return cluspath[clus[x]][clusiind[x]-v];
				v -= clusiind[x]+1;
				x = par[cluspath[clus[x]][0]];
			}
			return x;
		}

		// [iord[x], right[x])
		public int[][] makeRights()
		{
			int root = -1;
			int n = g.length;
			for(int i = 0;i < n;i++)if(par[i] == -1)root = i;

			int[] ord = new int[n];
			int[] right = new int[n];

			int[] curs = new int[n];
			int[] inds = new int[n];
			int sp = 0, p = 0;
			curs[sp++] = root;
			while(sp > 0){
				int cur = curs[sp-1];
				int ind = inds[sp-1];
				inds[sp-1]++;
				if(ind == 0){
					ord[p++] = cur;
					for(int e : g[cur]){
						if(par[cur] == e)continue;
						if(clus[cur] == clus[e]){
							curs[sp] = e;
							inds[sp] = 0;
							sp++;
							break;
						}
					}
				}else if(ind-1 < g[cur].length){
					int e = g[cur][ind-1];
					if(e == par[cur])continue;
					if(clus[cur] == clus[e])continue;
					curs[sp] = e;
					inds[sp] = 0;
					sp++;
				}else{
					right[cur] = p;
					sp--;
				}
			}
			int[] iord = new int[n];
			for(int i = 0;i < n;i++)iord[ord[i]] = i;
			return new int[][]{ord, iord, right};
		}

	}



	public static class TrieByList {
		public Node root = new Node((char)0, 0);
		public int gen = 1;

		public static class Node
		{
			public int id;
			public char c;

			public long ptn = 0;
			public int p = 0;
			public Node[] child = null;
			public List<Integer> hit;

			public Node fail;

			public Node(char c, int id)
			{
				this.id = id;
				this.c = c;
			}

			public int enc(char c)
			{
				//			return c <= 'Z' ? c-'A' : c-'a'+32;
				return c-'a';
			}

			public void appendChild(Node n)
			{
				if(p == 0){
					child = new Node[1];
				}else if(p+1 >= child.length){
					child = Arrays.copyOf(child, child.length*2);
				}
				int z = enc(n.c);
				int nind = Long.bitCount(ptn<<~z);
				ptn |= 1L<<z;
				System.arraycopy(child, nind, child, nind+1, p-nind);
				child[nind] = n;
				p++;
			}

			public Node search(char c)
			{
				if(ptn<<~enc(c)<0){
					return child[Long.bitCount(ptn<<~enc(c))-1];
				}else{
					return null;
				}
			}
		}

		public void add(char[] s, int id)
		{
			Node cur = root;
			Node pre = null;
			for(char c : s){
				pre = cur;
				cur = pre.search(c);
				if(cur == null){
					cur = new Node(c, gen++);
					pre.appendChild(cur);
				}
			}
			if(cur.hit == null)cur.hit = new ArrayList<>();
			cur.hit.add(id);
		}

		public void buildFailure()
		{
			root.fail = null;
			Queue<Node> q = new ArrayDeque<Node>();
			q.add(root);
			while(!q.isEmpty()){
				Node cur = q.poll();
				inner:
				for(int i = 0;i < cur.p;i++){
					Node ch = cur.child[i];
					q.add(ch);
					for(Node to = cur.fail; to != null; to = to.fail){
						Node lch = to.search(ch.c);
						if(lch != null){
							ch.fail = lch;
//							ch.hit += lch.hit; // propagation of hit
							continue inner;
						}
					}
					ch.fail = root;
				}
			}
		}

		public Node next(Node cur, char c)
		{
			for(;cur != null;cur = cur.fail){
				Node next = cur.search(c);
				if(next != null){
					return next;
				}
				// dead
			}
			return root;
		}

		public Node[] toArray()
		{
			Node[] ret = new Node[gen];
			ret[0] = root;
			for(int i = 0;i < gen;i++){
				Node cur = ret[i];
				for(int j = 0;j < cur.p;j++){
					ret[cur.child[j].id] = cur.child[j];
				}
			}
			return ret;
		}
	}


	void run() throws Exception
	{
		is = oj ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new FastWriter(System.out);
		
		long s = System.currentTimeMillis();
		solve();
		out.flush();
		tr(System.currentTimeMillis()-s+"ms");
	}
	
	public static void main(String[] args) throws Exception { new G().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();
		}
	}

	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 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(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 println(int... xs) { return writeln(xs); }
		public FastWriter println(long... xs) { return writeln(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 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 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 void tf(boolean... r)
	{
		for(boolean x : r)System.out.print(x?'#':'.');
		System.out.println();
	}

	public 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 boolean oj = System.getProperty("ONLINE_JUDGE") != null;
	private void tr(Object... o) { if(!oj)System.out.println(Arrays.deepToString(o)); }
}