import java.io.EOFException; import java.io.File; import java.io.FileDescriptor; import java.io.FileInputStream; import java.io.FileOutputStream; import java.io.IOException; import java.io.InputStream; import java.io.OutputStream; import java.io.UncheckedIOException; import java.lang.reflect.Field; import java.nio.CharBuffer; import java.nio.charset.CharacterCodingException; import java.nio.charset.CharsetEncoder; import java.nio.charset.StandardCharsets; import java.util.Arrays; import java.util.OptionalLong; import java.util.function.IntUnaryOperator; import java.util.function.LongUnaryOperator; public class Main { public static void main(String[] args) throws Exception { ExtendedScanner sc = new ExtendedScanner(); FastPrintStream pw = new FastPrintStream(); solve(sc, pw); sc.close(); pw.flush(); pw.close(); } static final class ModArithmetic1000000009 extends ModArithmetic { public static final ModArithmetic INSTANCE = new ModArithmetic1000000009(); private ModArithmetic1000000009(){} public static final long MOD = 1000000009; public long getMod() {return MOD;} public long mod(long a) {return (a %= MOD) < 0 ? a + MOD : a;} public long add(long a, long b) {return (a += b) >= MOD ? a - MOD : a;} public long sub(long a, long b) {return (a -= b) < 0 ? a + MOD : a;} public long mul(long a, long b) {return (a * b) % MOD;} } static final ModArithmetic ma = ModArithmetic1000000009.INSTANCE; static final int MAX = 100000; public static void solve(ExtendedScanner sc, FastPrintStream pw) { long[] f = new long[MAX + 1]; Arrays.fill(f, 1); for (int i = 1; i <= 9; i++) { for (int j = i; j <= MAX; j++) { f[j] = ma.add(f[j], f[j - i]); } } int t = sc.nextInt(); while (t --> 0) { int m = (int) (sc.nextLong() / 111111); pw.println(f[m]); } } } /** * @author https://atcoder.jp/users/suisen */ final class ExtendedScanner extends FastScanner { public ExtendedScanner() {super();} public ExtendedScanner(InputStream in) {super(in);} public int[] ints(final int n) { final int[] a = new int[n]; Arrays.setAll(a, $ -> nextInt()); return a; } public int[] ints(final int n, final IntUnaryOperator f) { final int[] a = new int[n]; Arrays.setAll(a, $ -> f.applyAsInt(nextInt())); return a; } public int[][] ints(final int n, final int m) { final int[][] a = new int[n][]; Arrays.setAll(a, $ -> ints(m)); return a; } public int[][] ints(final int n, final int m, final IntUnaryOperator f) { final int[][] a = new int[n][]; Arrays.setAll(a, $ -> ints(m, f)); return a; } public long[] longs(final int n) { final long[] a = new long[n]; Arrays.setAll(a, $ -> nextLong()); return a; } public long[] longs(final int n, final LongUnaryOperator f) { final long[] a = new long[n]; Arrays.setAll(a, $ -> f.applyAsLong(nextLong())); return a; } public long[][] longs(final int n, final int m) { final long[][] a = new long[n][]; Arrays.setAll(a, $ -> longs(m)); return a; } public long[][] longs(final int n, final int m, final LongUnaryOperator f) { final long[][] a = new long[n][]; Arrays.setAll(a, $ -> longs(m, f)); return a; } public char[][] charArrays(final int n) { final char[][] c = new char[n][]; Arrays.setAll(c, $ -> nextChars()); return c; } public double[] doubles(final int n) { final double[] a = new double[n]; Arrays.setAll(a, $ -> nextDouble()); return a; } public double[][] doubles(final int n, final int m) { final double[][] a = new double[n][]; Arrays.setAll(a, $ -> doubles(m)); return a; } public String[] strings(final int n) { final String[] s = new String[n]; Arrays.setAll(s, $ -> next()); return s; } } /** * @author https://atcoder.jp/users/suisen */ class FastPrintStream implements AutoCloseable { private static final int INT_MAX_LEN = 11; private static final int LONG_MAX_LEN = 20; private int precision = 9; private static final int BUF_SIZE = 1 << 14; private static final int BUF_SIZE_MINUS_INT_MAX_LEN = BUF_SIZE - INT_MAX_LEN; private static final int BUF_SIZE_MINUS_LONG_MAX_LEN = BUF_SIZE - LONG_MAX_LEN; private final byte[] buf = new byte[BUF_SIZE]; private int ptr = 0; private final Field strField; private final CharsetEncoder encoder; private final OutputStream out; public FastPrintStream(OutputStream out) { this.out = out; Field f; try { f = String.class.getDeclaredField("value"); f.setAccessible(true); } catch (NoSuchFieldException | SecurityException e) { f = null; } this.strField = f; this.encoder = StandardCharsets.US_ASCII.newEncoder(); } public FastPrintStream(File file) throws IOException { this(new FileOutputStream(file)); } public FastPrintStream(String filename) throws IOException { this(new File(filename)); } public FastPrintStream() { this(new FileOutputStream(FileDescriptor.out)); } public FastPrintStream println() { if (ptr == BUF_SIZE) internalFlush(); buf[ptr++] = (byte) '\n'; return this; } public FastPrintStream println(Object o) { return print(o).println(); } public FastPrintStream println(String s) { return print(s).println(); } public FastPrintStream println(char[] s) { return print(s).println(); } public FastPrintStream println(char c) { return print(c).println(); } public FastPrintStream println(int x) { return print(x).println(); } public FastPrintStream println(long x) { return print(x).println(); } public FastPrintStream println(double d, int precision) { return print(d, precision).println(); } public FastPrintStream println(double d) { return print(d).println(); } private FastPrintStream print(byte[] bytes) { int n = bytes.length; if (ptr + n > BUF_SIZE) { internalFlush(); try { out.write(bytes); } catch (IOException e) { throw new UncheckedIOException(e); } } else { System.arraycopy(bytes, 0, buf, ptr, n); ptr += n; } return this; } public FastPrintStream print(Object o) { return print(o.toString()); } public FastPrintStream print(String s) { if (strField == null) { return print(s.getBytes()); } else { try { Object value = strField.get(s); if (value instanceof byte[]) { return print((byte[]) value); } else { return print((char[]) value); } } catch (IllegalAccessException e) { return print(s.getBytes()); } } } public FastPrintStream print(char[] s) { try { return print(encoder.encode(CharBuffer.wrap(s)).array()); } catch (CharacterCodingException e) { byte[] bytes = new byte[s.length]; for (int i = 0; i < s.length; i++) { bytes[i] = (byte) s[i]; } return print(bytes); } } public FastPrintStream print(char c) { if (ptr == BUF_SIZE) internalFlush(); buf[ptr++] = (byte) c; return this; } public FastPrintStream print(int x) { if (ptr > BUF_SIZE_MINUS_INT_MAX_LEN) internalFlush(); if (-10 < x && x < 10) { if (x < 0) { buf[ptr++] = '-'; x = -x; } buf[ptr++] = (byte) ('0' + x); return this; } int d; if (x < 0) { if (x == Integer.MIN_VALUE) { buf[ptr++] = '-'; buf[ptr++] = '2'; buf[ptr++] = '1'; buf[ptr++] = '4'; buf[ptr++] = '7'; buf[ptr++] = '4'; buf[ptr++] = '8'; buf[ptr++] = '3'; buf[ptr++] = '6'; buf[ptr++] = '4'; buf[ptr++] = '8'; return this; } d = len(x = -x); buf[ptr++] = '-'; } else { d = len(x); } int j = ptr += d; while (x > 0) { buf[--j] = (byte) ('0' + (x % 10)); x /= 10; } return this; } public FastPrintStream print(long x) { if ((int) x == x) return print((int) x); if (ptr > BUF_SIZE_MINUS_LONG_MAX_LEN) internalFlush(); int d; if (x < 0) { if (x == Long.MIN_VALUE) { buf[ptr++] = '-'; buf[ptr++] = '9'; buf[ptr++] = '2'; buf[ptr++] = '2'; buf[ptr++] = '3'; buf[ptr++] = '3'; buf[ptr++] = '7'; buf[ptr++] = '2'; buf[ptr++] = '0'; buf[ptr++] = '3'; buf[ptr++] = '6'; buf[ptr++] = '8'; buf[ptr++] = '5'; buf[ptr++] = '4'; buf[ptr++] = '7'; buf[ptr++] = '7'; buf[ptr++] = '5'; buf[ptr++] = '8'; buf[ptr++] = '0'; buf[ptr++] = '8'; return this; } d = len(x = -x); buf[ptr++] = '-'; } else { d = len(x); } int j = ptr += d; while (x > 0) { buf[--j] = (byte) ('0' + (x % 10)); x /= 10; } return this; } public FastPrintStream print(double d, int precision) { if (d < 0) { print('-'); d = -d; } d += Math.pow(10, -precision) / 2; print((long) d).print('.'); d -= (long) d; for(int i = 0; i < precision; i++){ d *= 10; print((int) d); d -= (int) d; } return this; } public FastPrintStream print(double d) { return print(d, precision); } public void setPrecision(int precision) { this.precision = precision; } private void internalFlush() { try { out.write(buf, 0, ptr); ptr = 0; } catch (IOException e) { throw new UncheckedIOException(e); } } public void flush() { try { out.write(buf, 0, ptr); out.flush(); ptr = 0; } catch (IOException e) { throw new UncheckedIOException(e); } } public void close() { try { out.close(); } catch (IOException e) { throw new UncheckedIOException(e); } } private static int len(int x) { return x >= 1000000000 ? 10 : x >= 100000000 ? 9 : x >= 10000000 ? 8 : x >= 1000000 ? 7 : x >= 100000 ? 6 : x >= 10000 ? 5 : x >= 1000 ? 4 : x >= 100 ? 3 : x >= 10 ? 2 : 1; } private static int len(long x) { return x >= 1000000000000000000L ? 19 : x >= 100000000000000000L ? 18 : x >= 10000000000000000L ? 17 : x >= 1000000000000000L ? 16 : x >= 100000000000000L ? 15 : x >= 10000000000000L ? 14 : x >= 1000000000000L ? 13 : x >= 100000000000L ? 12 : x >= 10000000000L ? 11 : 10; } } /** * @author https://atcoder.jp/users/suisen */ class FastScanner implements AutoCloseable { private final ByteBuffer tokenBuf = new ByteBuffer(); public final InputStream in; private final byte[] rawBuf = new byte[1 << 14]; private int ptr = 0; private int buflen = 0; public FastScanner(InputStream in) { this.in = in; } public FastScanner() { this(new FileInputStream(FileDescriptor.in)); } private int readByte() { if (ptr < buflen) return rawBuf[ptr++]; ptr = 0; try { buflen = in.read(rawBuf); if (buflen > 0) { return rawBuf[ptr++]; } else { throw new EOFException(); } } catch (IOException e) { throw new UncheckedIOException(e); } } private int readByteUnsafe() { if (ptr < buflen) return rawBuf[ptr++]; ptr = 0; try { buflen = in.read(rawBuf); if (buflen > 0) { return rawBuf[ptr++]; } else { return -1; } } catch (IOException e) { throw new UncheckedIOException(e); } } private int skipUnprintableChars() { int b = readByte(); while (b <= 32 || b >= 127) b = readByte(); return b; } private void loadToken() { tokenBuf.clear(); for (int b = skipUnprintableChars(); 32 < b && b < 127; b = readByteUnsafe()) { tokenBuf.append(b); } } public final boolean hasNext() { for (int b = readByteUnsafe(); b <= 32 || b >= 127; b = readByteUnsafe()) { if (b == -1) return false; } --ptr; return true; } public final String next() { loadToken(); return new String(tokenBuf.getRawBuf(), 0, tokenBuf.size()); } public final String nextLine() { tokenBuf.clear(); for (int b = readByte(); b != '\n'; b = readByteUnsafe()) { if (b == -1) break; tokenBuf.append(b); } return new String(tokenBuf.getRawBuf(), 0, tokenBuf.size()); } public final char nextChar() { return (char) skipUnprintableChars(); } public final char[] nextChars() { loadToken(); return tokenBuf.toCharArray(); } public final long nextLong() { long n = 0; boolean isNegative = false; int b = skipUnprintableChars(); if (b == '-') { isNegative = true; b = readByteUnsafe(); } if (b < '0' || '9' < b) throw new NumberFormatException(); while ('0' <= b && b <= '9') { // -9223372036854775808 - 9223372036854775807 if (n >= 922337203685477580L) { if (n > 922337203685477580L) { throw new ArithmeticException("long overflow"); } if (isNegative) { if (b >= '9') { throw new ArithmeticException("long overflow"); } n = -n - (b - '0'); } else { if (b >= '8') { throw new ArithmeticException("long overflow"); } n = n * 10 + b - '0'; } b = readByteUnsafe(); if ('0' <= b && b <= '9') { throw new ArithmeticException("long overflow"); } else if (b <= 32 || b >= 127) { return n; } else { throw new NumberFormatException(); } } n = n * 10 + b - '0'; b = readByteUnsafe(); } if (b <= 32 || b >= 127) return isNegative ? -n : n; throw new NumberFormatException(); } public final int nextInt() { long value = nextLong(); if ((int) value != value) { throw new ArithmeticException("int overflow"); } return (int) value; } public final double nextDouble() { return Double.parseDouble(next()); } public final void close() { try { in.close(); } catch (IOException e) { throw new UncheckedIOException(e); } } @SuppressWarnings("UnusedReturnValue") private static final class ByteBuffer { private static final int DEFAULT_BUF_SIZE = 1 << 12; private byte[] buf; private int ptr = 0; private ByteBuffer(@SuppressWarnings("SameParameterValue") int capacity) { this.buf = new byte[capacity]; } private ByteBuffer() { this(DEFAULT_BUF_SIZE); } private ByteBuffer append(int b) { if (ptr == buf.length) { int newLength = buf.length << 1; byte[] newBuf = new byte[newLength]; System.arraycopy(buf, 0, newBuf, 0, buf.length); buf = newBuf; } buf[ptr++] = (byte) b; return this; } private char[] toCharArray() { char[] chs = new char[ptr]; for (int i = 0; i < ptr; i++) { chs[i] = (char) buf[i]; } return chs; } private byte[] getRawBuf() { return buf; } private int size() { return ptr; } private void clear() { ptr = 0; } } } /** * @author https://atcoder.jp/users/suisen */ abstract class ModArithmetic { public abstract long getMod(); public abstract long mod(long a); public abstract long add(long a, long b); public abstract long sub(long a, long b); public abstract long mul(long a, long b); public final long div(long a, long b) {return mul(a, inv(b));} public final long inv(long a) { a = mod(a); long b = getMod(); long u = 1, v = 0; while (b >= 1) { long t = a / b; a -= t * b; long tmp1 = a; a = b; b = tmp1; u -= t * v; long tmp2 = u; u = v; v = tmp2; } if (a != 1) throw new ArithmeticException("divide by zero"); return mod(u); } public final long fma(long a, long b, long c) {return add(mul(a, b), c);} public final long pow(long a, long b) { long pow = 1; for (a = mod(a); b > 0; b >>= 1, a = mul(a, a)) { if ((b & 1) == 1) pow = mul(pow, a); } return pow; } public final long add(long a, long b, long c) {return mod(a + b + c);} public final long add(long a, long b, long c, long d) {return mod(a + b + c + d);} public final long add(long a, long b, long c, long d, long e) {return mod(a + b + c + d + e);} public final long add(long a, long b, long c, long d, long e, long f) {return mod(a + b + c + d + e + f);} public final long add(long a, long b, long c, long d, long e, long f, long g) {return mod(a + b + c + d + e + f + g);} public final long add(long a, long b, long c, long d, long e, long f, long g, long h) {return mod(a + b + c + d + e + f + g + h);} public final long add(long... xs) {long s = 0; for (long x : xs) s += x; return mod(s);} public final long mul(long a, long b, long c) {return mul(a, mul(b, c));} public final long mul(long a, long b, long c, long d) {return mul(a, mul(b, mul(c, d)));} public final long mul(long a, long b, long c, long d, long e) {return mul(a, mul(b, mul(c, mul(d, e))));} public final long mul(long a, long b, long c, long d, long e, long f) {return mul(a, mul(b, mul(c, mul(d, mul(e, f)))));} public final long mul(long a, long b, long c, long d, long e, long f, long g) {return mul(a, mul(b, mul(c, mul(d, mul(e, mul(f, g))))));} public final long mul(long a, long b, long c, long d, long e, long f, long g, long h) {return mul(a, mul(b, mul(c, mul(d, mul(e, mul(f, mul(g, h)))))));} public final long mul(long... xs) {long s = 1; for (long x : xs) s = mul(s, x); return s;} /** * @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g */ public final long[] gcdInv(long a) { final long m = getMod(); a = mod(a); if (a == 0) return new long[]{m, 0}; long s = m, t = a; long m0 = 0, m1 = 1; while (t > 0) { long u = s / t; s -= t * u; m0 -= m1 * u; long tmp; tmp = s; s = t; t = tmp; tmp = m0; m0 = m1; m1 = tmp; } if (m0 < 0) m0 += m / s; return new long[]{s, m0}; } public final OptionalLong sqrt(long a) { a = mod(a); if (a == 0) return OptionalLong.of(0); if (a == 1) return OptionalLong.of(1); long p = getMod(); if (pow(a, (p - 1) >> 1) != 1) { return OptionalLong.empty(); } if ((p & 3) == 3) { return OptionalLong.of(pow(a, (p + 1) >> 2)); } if ((p & 7) == 5) { if (pow(a, (p - 1) >> 2) == 1) { return OptionalLong.of(pow(a, (p + 3) >> 3)); } else { return OptionalLong.of(mul(pow(2, (p - 1) >> 2), pow(a, (p + 3) >> 3))); } } long S = 0, Q = p - 1; while ((Q & 1) == 0) { ++S; Q >>= 1; } long z = 1; while (pow(z, (p - 1) >> 1) != p - 1) ++z; long c = pow(z, Q), R = pow(a, (Q + 1) / 2), t = pow(a, Q), M = S; while (t != 1) { long cur = t; int i; for (i = 1; i < M; i++) { cur = mul(cur, cur); if (cur == 1) break; } long b = pow(c, 1L << (M - i - 1)); c = mul(b, b); R = mul(R, b); t = mul(t, b, b); M = i; } return OptionalLong.of(R); } public final int primitiveRoot() { final int m = Math.toIntExact(getMod()); if (m == 2) return 1; if (m == 167772161) return 3; if (m == 469762049) return 3; if (m == 754974721) return 11; if (m == 998244353) return 3; int[] divs = new int[20]; divs[0] = 2; int cnt = 1; int x = (m - 1) / 2; while (x % 2 == 0) x /= 2; for (int i = 3; (long) i * i <= x; i += 2) { if (x % i == 0) { divs[cnt++] = i; while (x % i == 0) x /= i; } } if (x > 1) { divs[cnt++] = x; } for (int g = 2; ; g++) { boolean ok = true; for (int i = 0; i < cnt; i++) { if (pow(g, (m - 1) / divs[i]) == 1) { ok = false; break; } } if (ok) return g; } } /** array operations */ public final long[] rangeInv(int n) { final long MOD = getMod(); long[] invs = new long[n + 1]; if (n == 0) return invs; invs[1] = 1; for (int i = 2; i <= n; i++) { invs[i] = mul(MOD - MOD / i, invs[(int) (MOD % i)]); } return invs; } public final long[] arrayInv(long[] a) { int n = a.length; long[] l = new long[n + 1]; long[] r = new long[n + 1]; l[0] = r[n] = 1; for (int i = 0; i < n; i++) l[i + 1] = mul(l[i], a[i ]); for (int i = n; i > 0; i--) r[i - 1] = mul(r[i], a[i - 1]); long invAll = inv(l[n]); long[] invs = new long[n]; for (int i = 0; i < n; i++) { invs[i] = mul(l[i], r[i + 1], invAll); } return invs; } public final long[] factorial(int n) { long[] ret = new long[n + 1]; ret[0] = 1; for (int i = 1; i <= n; i++) ret[i] = mul(ret[i - 1], i); return ret; } public final long[] factorialInv(int n) { long facN = 1; for (int i = 2; i <= n; i++) facN = mul(facN, i); long[] invs = new long[n + 1]; invs[n] = inv(facN); for (int i = n; i > 0; i--) invs[i - 1] = mul(invs[i], i); return invs; } public final long[] rangePower(long a, int n) { a = mod(a); long[] pows = new long[n + 1]; pows[0] = 1; for (int i = 1; i <= n; i++) pows[i] = mul(pows[i - 1], a); return pows; } public final long[] rangePowerInv(long a, int n) { a = mod(a); long[] invs = new long[n + 1]; invs[n] = inv(pow(a, n)); for (int i = n; i > 0; i--) invs[i - 1] = mul(invs[i], a); return invs; } /** combinatric operations */ public final long[][] combTable(int n) { long[][] comb = new long[n + 1][]; for (int i = 0; i <= n; i++) { comb[i] = new long[i + 1]; comb[i][0] = comb[i][i] = 1; for (int j = 1; j < i; j++) { comb[i][j] = add(comb[i - 1][j - 1], comb[i - 1][j]); } } return comb; } public final long naiveComb(long n, int r) { if (r < 0 || r > n) return 0; long num = 1, den = 1; for (int i = 0; i < r; i++) { num = mul(num, mod(n - i)); den = mul(den, i + 1); } return div(num, den); } public final long naivePerm(long n, long r) { if (r < 0 || r > n) return 0; long res = 1; for (long i = 0; i < r; i++) res = mul(res, n - i); return res; } public final long naiveFactorial(int n) { return naivePerm(n, n); } }