package contest220429; import java.io.*; import java.util.*; import java.util.function.IntUnaryOperator; import java.util.function.LongUnaryOperator; public class E2 { 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; long[] as = new long[n]; for(int i = 0;i < n;i++){ as[i] = (long)a[i]<<32|b[i]; } Arrays.sort(as); int[][] co = new int[n][]; for(int i = 0;i < n;i++){ co[i] = new int[]{(int)(as[i]>>>32)-(int)as[i], (int)(as[i]>>>32)+(int)as[i], i, (int)(as[i]>>>32)}; } Arrays.sort(co, (x, y) -> x[0] - y[0]); int[] xs = shrink(getind(co, 0)); int[] ys = shrink(getind(co, 1)); for(int i = 0;i < n;i++){ co[i][0] = xs[i]; co[i][1] = ys[i]; } int[] iord = new int[n]; for(int i = 0;i < n;i++)iord[co[i][2]] = i; // tr(co); StaticRangeTreeRSQ st = new StaticRangeTreeRSQ(co, n); // DynamicWeightedWaveletMatrix wm1 = new DynamicWeightedWaveletMatrix(ys, new long[n], 20); 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 val = st.sum(l, n, ys[id]+1, 1<<21); // long f = wm1.sum(l, n, ys[id]+1, 1<<21); long s = val&(1L<<46)-1; long f = val>>>46; ans += s - co[id][3] * f; st.add(xs[id], ys[id], 1L<<46|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 StaticRangeTreeRSQ { public int M, H, N; public long[][] fts; public int[][] maps; public int[] count; public long I = Long.MAX_VALUE; /** * @param co DESTRUCTIVE * @param n limit of coordinate */ public StaticRangeTreeRSQ(int[][] co, int n) { N = n; M = Integer.highestOneBit(Math.max(N-1, 1))<<2; H = M>>>1; Arrays.sort(co, new Comparator() { // x asc public int compare(int[] a, int[] b) { if(a[0] != b[0])return a[0] - b[0]; return a[1] - b[1]; } }); maps = new int[M][]; fts = new long[M][]; count = new int[M]; for(int i = 0;i < co.length;i++){ count[H+co[i][0]]++; } int off = 0; for(int i = 0;i < n;i++){ maps[H+i] = new int[count[H+i]]; for(int j = 0;j < count[H+i];j++,off++){ maps[H+i][j] = co[off][1]; } fts[H+i] = new long[count[H+i]+1]; } for(int i = H-1;i >= 1;i--){ if(maps[2*i+1] == null){ maps[i] = maps[2*i]; count[i] = count[2*i]; }else{ count[i] = count[2*i] + count[2*i+1]; maps[i] = new int[count[i]]; int l = 0; int j = 0, k = 0; while(j < count[2*i] && k < count[2*i+1]){ if(maps[2*i][j] < maps[2*i+1][k]){ maps[i][l++] = maps[2*i][j++]; }else if(maps[2*i][j] > maps[2*i+1][k]){ maps[i][l++] = maps[2*i+1][k++]; }else{ maps[i][l++] = maps[2*i][j++]; k++; } } while(j < count[2*i])maps[i][l++] = maps[2*i][j++]; while(k < count[2*i+1])maps[i][l++] = maps[2*i+1][k++]; if(l != count[i]){ // uniq count[i] = l; maps[i] = Arrays.copyOf(maps[i], l); } } fts[i] = new long[count[i]+1]; } } public void add(int x, int y, long v) { for(int pos = H+x;pos >= 1;pos>>>=1){ int ind = Arrays.binarySearch(maps[pos], y); if(ind >= 0){ addFenwick(fts[pos], ind, v); }else{ throw new RuntimeException(String.format("access to non-existing point : (%d,%d):%d", x, y, v)); } } } public long gsum; // [xl,xr)*[yl,yr) public long sum(int xl, int xr, int yl, int yr) { gsum = 0; sum(xl, xr, yl, yr, 0, H, 1); return gsum; } public void sum(int xl, int xr, int yl, int yr, int cl, int cr, int cur) { if(xl <= cl && cr <= xr){ int indl = Arrays.binarySearch(maps[cur], yl-1); int indr = Arrays.binarySearch(maps[cur], yr-1); if(indl < 0)indl = -indl - 2; if(indr < 0)indr = -indr - 2; gsum += sumFenwick(fts[cur], indr) - sumFenwick(fts[cur], indl); }else{ int mid = cl+cr>>>1; if(cl < xr && xl < mid)sum(xl, xr, yl, yr, cl, mid, 2*cur); if(mid < xr && xl < cr)sum(xl, xr, yl, yr, mid, cr, 2*cur+1); } } 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 E2().run(); } public void run() { // int n = 200000, m = 99999; // Random gen = new Random(); // StringBuilder sb = new StringBuilder(); // sb.append(n + " "); // for (int i = 0; i < n; i++) { // sb.append(gen.nextInt(1000000000) + " "); // sb.append(gen.nextInt(1000000000) + " "); // } // INPUT = sb.toString(); 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 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)); } }