package contest220429;
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 E {
	InputStream is;
	FastWriter out;

	String INPUT = "";

	public void solve()
	{
		int n = ni();
		int[] a = na(n);
		int[] b = na(n);
		out.println(solve(a, b) + " " + solve(b, a));
	}

	long solve(int[] a, int[] b)
	{
		int n = a.length;
		final int mod = 1000000007;

		int[][] as = new int[n][];
		for(int i = 0;i < n;i++){
			as[i] = new int[]{a[i], b[i]};
		}
		Arrays.sort(as, (x, y) -> x[0] - y[0]);

		int[][] co = new int[n][];
		for(int i = 0;i < n;i++){
			co[i] = new int[]{as[i][0]-as[i][1], as[i][0]+as[i][1], i, as[i][0]};
		}
		Arrays.sort(co, (x, y) -> {
			if (x[0] != y[0]) return x[0] - y[0];
			return (x[1] - y[1]);
		});
		int[] xs = getind(co, 0);
		int[] ys = shrink(getind(co, 1));

		int[] iord = new int[n];
		for(int i = 0;i < n;i++)iord[co[i][2]] = i;

//		tr(co);

		DynamicWeightedWaveletMatrix wm = new DynamicWeightedWaveletMatrix(ys, new long[n], 21);
		DynamicWeightedWaveletMatrix wm1 = new DynamicWeightedWaveletMatrix(ys, new long[n], 21);
		long ans = 0;
		for(int i = n-1;i >= 0;i--){
			int id = iord[i];
			int l = lowerBound(xs, xs[id]+1);
//			tr(id, l, ys[id]+1);
			long s = wm.sum(l, n, ys[id]+1, 1<<20);
			long f = wm1.sum(l, n, ys[id]+1, 1<<20);
			ans += s - co[id][3] * f;
			wm.add(id, co[id][3]);
			wm1.add(id, 1L);
			ans %= mod;
		}
		if(ans < 0)ans += mod;
		ans = ans * 2 % mod;
		return ans;
	}

	public static int[] shrink(int[] a) {
		int n = a.length;
		long[] b = new long[n];
		for (int i = 0; i < n; i++) b[i] = (long) a[i] << 32 | i;
		Arrays.sort(b);
		int[] ret = new int[n];
		int p = 0;
		for (int i = 0; i < n; i++) {
			if (i > 0 && (b[i] ^ b[i - 1]) >> 32 != 0) p++;
			ret[(int) b[i]] = p;
		}
		return ret;
	}


	public static int lowerBound(int[] a, int v){ return lowerBound(a, 0, a.length, v); }
	public static int lowerBound(int[] a, int l, int r, int v)
	{
		if(l > r || l < 0 || r > a.length)throw new IllegalArgumentException();
		int low = l-1, high = r;
		while(high-low > 1){
			int h = high+low>>>1;
			if(a[h] >= v){
				high = h;
			}else{
				low = h;
			}
		}
		return high;
	}


	public static int[] getind(int[][] a, int ind) { int[] b = new int[a.length]; for(int i = 0;i < a.length;i++)b[i] = a[i][ind]; return b;}

	public static class SBVWithoutSelect {
		public int[] bc;
		public long[] a;
		public int n;

		public SBVWithoutSelect(boolean[] a)
		{
			n = a.length;
			int m = (n>>>6)+1;
			this.a = new long[m];
			for(int i = 0;i < n;i++){
				if(a[i])this.a[i>>>6] |= 1L<<i;
			}
			bc = new int[m+1];
			for(int i = 0;i < m;i++){
				bc[i+1] = bc[i] + Long.bitCount(this.a[i]);
			}
		}

		public boolean get(int i)
		{
			assert i >= 0;
			assert i < n;
			return a[i>>>6]<<~i<0;
		}

		public int rank(int i, boolean b)
		{
			assert i >= 0;
			assert i <= n;
			int ret = bc[i >>> 6] + ((i & 63) == 0 ? 0 : Long.bitCount(a[i >>> 6]<<-i));
			return b ? ret : i - ret;
		}

		@Override
		public String toString() {
			return "SBVWithoutSelect{" +
					", bc=" + Arrays.toString(bc) +
					", a=" + Arrays.toString(a) +
					", n=" + n +
					'}';
		}
	}


	public static class DynamicWeightedWaveletMatrix {
		public SBVWithoutSelect[] sbvs;
		public int K;
		public int[] borders;
		public long[][] cums;

		public DynamicWeightedWaveletMatrix(int[] a, long[] ws, int K)
		{
			this.K = K;
			int n = a.length;
			int[] sa = Arrays.copyOf(a, n);
			sbvs = new SBVWithoutSelect[K];
			borders = new int[K];
			for(int d = K-1;d >= 0;d--){
				boolean[] b = new boolean[n];
				int[] t = new int[n];
				int offset = 0;
				for(int i = 0;i < n;i++){
					b[i] = sa[i]<<~d<0;
					if(sa[i]<<~d>=0) offset++;
				}
				borders[d] = offset;

				int p = 0, q = offset;
				for(int v : sa){
					if(v<<~d<0){
						t[q++] = v;
					}else{
						t[p++] = v;
					}
				}
				sa = t;
				sbvs[d] = new SBVWithoutSelect(b);
			}
			cums = new long[K][n+3];
			for(int j = 0;j < n;j++)add(j, ws[j]);
		}

		public void add(int i, long v)
		{
			if(v == 0)return;
			for(int d = K-1;d >= 0;d--){
				boolean res = sbvs[d].get(i);
				if(res){
					i = borders[d] + sbvs[d].rank(i, true);
				}else{
					i = sbvs[d].rank(i, false);
				}
				addFenwick(cums[d], i, v);
			}
		}

		/**
		 * T[i]を復元する
		 * @param i
		 * @return
		 */
		public int get(int i)
		{
			int ret = 0;
			for(int d = K-1;d >= 0;d--){
				ret *= 2;
				boolean res = sbvs[d].get(i);
				if(res){
					ret++;
					i = borders[d] + sbvs[d].rank(i, true);
				}else{
					i = sbvs[d].rank(i, false);
				}
			}
			return ret;
		}

		/**
		 * T[0,i)中のcの出現回数を返す
		 * @param i
		 * @param c
		 * @return
		 */
		public int rank(int i, int c)
		{
			int j = 0;
			for(int d = K-1;d >= 0;d--){
				i = sbvs[d].rank(i, c<<~d<0) + (c<<~d<0 ? borders[d] : 0);
				j = sbvs[d].rank(j, c<<~d<0) + (c<<~d<0 ? borders[d] : 0);
			}
			return i - j;
		}

		/**
		 * T[l,r)のk番目の小さい値を返す
		 * @param l
		 * @param r
		 * @param k
		 * @return
		 */
		public int kthLowest(int l, int r, int k)
		{
			int v = 0;
			for(int d = K-1;d >= 0;d--) {
				int rz = sbvs[d].rank(r, false);
				int lz = sbvs[d].rank(l, false);
				if (k < rz - lz) {
					l = lz;
					r = rz;
				} else {
					v |= 1<<d;
					l = borders[d] + l - lz;
					r = borders[d] + r - rz;
					k -= rz - lz;
				}
			}
			return v;
		}

		/**
		 * T[l,r)にある、c in [d,u)の出現個数を返す
		 *
		 * count(c<u, T[l,r)) - count(c<d, T[l,r))
		 * @param l
		 * @param r
		 * @param d
		 * @param u
		 * @return
		 */
		public int freq(int l, int r, int d, int u)
		{
			return freq(l, r, u) - freq(l, r, d);
		}

		public int freq(int l, int r, int u)
		{
			if(u >= 1<<K)return r - l;
			int ret = 0;
			for(int d = K-1;d >= 0;d--){
				int zr = sbvs[d].rank(r, false);
				int zl = sbvs[d].rank(l, false);
				if(u<<~d<0){
					ret += zr - zl;
					r = borders[d] + r - zr;
					l = borders[d] + l - zl;
				}else{
					r = zr;
					l = zl;
				}
			}
			return ret;
		}

		public long sum(int l, int r, int d, int u)
		{
			return sum(l, r, u) - sum(l, r, d);
		}

		public long sum(int l, int r, int u)
		{
			if(u >= 1<<K)return r - l;
			long ret = 0;
			for(int d = K-1;d >= 0;d--){
				int zr = sbvs[d].rank(r, false);
				int zl = sbvs[d].rank(l, false);
				//				tr(d, restoreFenwick(cums[d]));
				if(u<<~d<0){
					ret += sumFenwick(cums[d], zr-1) - sumFenwick(cums[d], zl-1);
					//					ret += cums[d][zr] - cums[d][zl];
					r = borders[d] + r - zr;
					l = borders[d] + l - zl;
				}else{
					r = zr;
					l = zl;
					// 0 2 0 2
					// 0 1 0 1

					// 0 0 2 2
				}
			}
			return ret;
		}

		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;
		}


		/**
		 * T[l,r)にある値を降順に頻度とともにk個返す
		 * @param l
		 * @param r
		 * @param k
		 * @return
		 */
		public int[][] maxk(int l, int r, int k)
		{
			int[][] ret = new int[k][];
			int[] f = new int[K];
			int rem = r-l;
			for(int i = 0;i < k;i++) {
				int ll = l, rr = r;
				int v = 0;
				for (int d = K - 1; d >= 0; d--) {
					int cha = sbvs[d].rank(rr, true) - sbvs[d].rank(ll, true);
					if(i == 0 || ret[i-1][0]>>>d+1 == v>>>d+1){
						cha -= f[d];
					}else{
						f[d] = 0;
					}
					if (cha > 0) {
						v |= 1<<d;
						ll = borders[d] + sbvs[d].rank(ll, true);
						rr = borders[d] + sbvs[d].rank(rr, true);
					} else {
						ll = sbvs[d].rank(ll, false);
						rr = sbvs[d].rank(rr, false);
					}
				}
				ret[i] = new int[]{v, rr-ll};
				for(int j = 0;j < K;j++){
					if(v<<~j<0)f[j] += ret[i][1];
				}
				rem -= ret[i][1];
				if(rem == 0)return Arrays.copyOf(ret, i+1);
			}
			return ret;
		}

		/**
		 * T[l,r)にある値を昇順に頻度とともにk個返す
		 * @param l
		 * @param r
		 * @param k
		 * @return
		 */
		public int[][] mink(int l, int r, int k)
		{
			int[][] ret = new int[k][];
			int[] f = new int[K];
			int rem = r-l;
			for(int i = 0;i < k;i++) {
				int ll = l, rr = r;
				int v = 0;
				for (int d = K - 1; d >= 0; d--) {
					int cha = sbvs[d].rank(rr, false) - sbvs[d].rank(ll, false);
					if(i == 0 || ret[i-1][0]>>>d+1 == v>>>d+1){
						cha -= f[d];
					}else{
						f[d] = 0;
					}
					if (cha > 0) {
						ll = sbvs[d].rank(ll, false);
						rr = sbvs[d].rank(rr, false);
					} else {
						v |= 1<<d;
						ll = borders[d] + sbvs[d].rank(ll, true);
						rr = borders[d] + sbvs[d].rank(rr, true);
					}
				}
				ret[i] = new int[]{v, rr-ll};
				for(int j = 0;j < K;j++){
					if(v<<~j>=0)f[j] += ret[i][1];
				}
				rem -= ret[i][1];
				if(rem == 0)return Arrays.copyOf(ret, i+1);
			}
			return ret;
		}

		/**
		 * T[l,R)で、u以下である最大のuを返す
		 *
		 * validは、その桁を0にできてかつ以後の整数が存在する最小のd
		 * @param l
		 * @param r
		 * @param u
		 * @return
		 */
		public int maxv(int l, int r, int u)
		{
			if(l == r)return -1;
			int ll = l, rr = r;
			int valid = -1;
			for (int d = K - 1; d >= 0; d--) {
				int nl, nr;
				if(u<<~d<0){
					nl = borders[d] + sbvs[d].rank(ll, true);
					nr = borders[d] + sbvs[d].rank(rr, true);
					if(sbvs[d].rank(rr, false) - sbvs[d].rank(ll, false) > 0)valid = d;
				}else{
					nl = sbvs[d].rank(ll, false);
					nr = sbvs[d].rank(rr, false);
				}
				ll = nl; rr = nr;
				if(nr - nl == 0)break;
			}

			if(rr-ll > 0)return u;
			if(valid == -1)return -1;

			ll = l; rr = r;
			int v = u>>>valid+1<<valid+1;
			for(int d = K-1;d > valid;d--){
				if(u<<~d<0){
					ll = borders[d] + sbvs[d].rank(ll, true);
					rr = borders[d] + sbvs[d].rank(rr, true);
				}else{
					ll = sbvs[d].rank(ll, false);
					rr = sbvs[d].rank(rr, false);
				}
			}
			{
				ll = sbvs[valid].rank(ll, false);
				rr = sbvs[valid].rank(rr, false);
			}
			for(int d = valid-1;d >= 0;d--){
				int lo = sbvs[d].rank(ll, true);
				int ro = sbvs[d].rank(rr, true);
				if(ro - lo > 0){
					v |= 1<<d;
					ll = borders[d] + lo;
					rr = borders[d] + ro;
				}else{
					ll = ll - lo;
					rr = rr - ro;
				}
			}

			assert rr-ll > 0;
			return v;
		}

		/**
		 * T[l,R)で、u以上の最小のcを返す
		 * @param l
		 * @param r
		 * @param u
		 * @return
		 */
		public int minv(int l, int r, int u)
		{
			if(l == r)return -1;
			int ll = l, rr = r;
			int valid = -1;
			for (int d = K - 1; d >= 0; d--) {
				int nl, nr;
				if(u<<~d<0){
					nl = borders[d] + sbvs[d].rank(ll, true);
					nr = borders[d] + sbvs[d].rank(rr, true);
				}else{
					nl = sbvs[d].rank(ll, false);
					nr = sbvs[d].rank(rr, false);
					if(sbvs[d].rank(rr, true) - sbvs[d].rank(ll, true) > 0)valid = d;
				}
				ll = nl; rr = nr;
				if(nr - nl == 0)break;
			}

			if(rr-ll > 0)return u;
			if(valid == -1)return -1;

			ll = l; rr = r;
			int v = u>>>valid+1<<valid+1;
			for(int d = K-1;d > valid;d--){
				if(u<<~d<0){
					ll = borders[d] + sbvs[d].rank(ll, true);
					rr = borders[d] + sbvs[d].rank(rr, true);
				}else{
					ll = sbvs[d].rank(ll, false);
					rr = sbvs[d].rank(rr, false);
				}
			}
			{
				v |= 1<<valid;
				ll = borders[valid] + sbvs[valid].rank(ll, true);
				rr = borders[valid] + sbvs[valid].rank(rr, true);
			}
			for(int d = valid-1;d >= 0;d--){
				int lz = sbvs[d].rank(ll, false);
				int rz = sbvs[d].rank(rr, false);
				if(rz - lz > 0) {
					ll = lz;
					rr = rz;
				}else{
					v |= 1<<d;
					ll = borders[d] + ll - lz;
					rr = borders[d] + rr - rz;
				}
			}

			assert rr-ll > 0;
			return v;
		}

		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 i, long v)
		{
			if(v == 0)return;
			int n = ft.length;
			for(i++;i < n;i += i&-i)ft[i] += v;
		}
	}


	public static void main(String[] args) {
		new E().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[] 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)); }
}