import java.util.Arrays; public class WriterCode { public static final int MOD998 = 998244353; public static final int MOD100 = 1000000007; public static void main(String[] args) throws Exception { ContestScanner sc = new ContestScanner(); ContestPrinter cp = new ContestPrinter(); long n = sc.nextLong(); String s = String.valueOf(n); int len = s.length(); String ans = null; // Reusable arrays to avoid allocation int[] counts = new int[10]; // Iterate lengths for (int l = len; l <= 20; l++) { minForLen = null; dfs(0, l, counts, s, l); if (minForLen != null) { ans = minForLen; break; } } cp.println(ans); cp.close(); } static String minForLen = null; // DFS to generate all digit distributions summing to 'total' static void dfs(int digit, int remaining, int[] counts, String targetStr, int L) { if (digit == 9) { counts[9] = remaining; checkAndUpdate(counts, targetStr, L); counts[9] = 0; // backtrack return; } for (int i = 0; i <= remaining; i++) { counts[digit] = i; dfs(digit + 1, remaining - i, counts, targetStr, L); } counts[digit] = 0; // backtrack } static void checkAndUpdate(int[] cnt, String targetStr, int L) { // Fast validity check // segcnt[2] + segcnt[4] parity check // segcnt[2] = L - cnt[2] // segcnt[4] = cnt[0] + cnt[2] + cnt[6] + cnt[8] // Sum = L + cnt[0] + cnt[6] + cnt[8] if ((L + cnt[0] + cnt[6] + cnt[8]) % 2 != 0) return; // Calculate segcnts needed for logic // segcnt[0] (top): 0, 2, 3, 5, 6, 7, 8, 9 int s0 = cnt[0] + cnt[2] + cnt[3] + cnt[5] + cnt[6] + cnt[7] + cnt[8] + cnt[9]; // segcnt[1] (top-right): 0, 1, 2, 3, 4, 7, 8, 9 int s1 = cnt[0] + cnt[1] + cnt[2] + cnt[3] + cnt[4] + cnt[7] + cnt[8] + cnt[9]; // segcnt[2] (bottom-right): All except 2 int s2 = L - cnt[2]; // segcnt[3] (bottom): 0, 2, 3, 5, 6, 8, 9 int s3 = cnt[0] + cnt[2] + cnt[3] + cnt[5] + cnt[6] + cnt[8] + cnt[9]; // segcnt[4] (bottom-left): 0, 2, 6, 8 int s4 = cnt[0] + cnt[2] + cnt[6] + cnt[8]; // segcnt[5] (top-left): 0, 4, 5, 6, 8, 9 int s5 = cnt[0] + cnt[4] + cnt[5] + cnt[6] + cnt[8] + cnt[9]; // segcnt[6] (middle): 2, 3, 4, 5, 6, 8, 9 int s6 = cnt[2] + cnt[3] + cnt[4] + cnt[5] + cnt[6] + cnt[8] + cnt[9]; int base = (s2 + s4) / 2; int nine = s3 - base; int one = base - s4; int zero = (s1 - one) - base; int seven = base - (s5 - zero + one); int six = (s0 - zero) - base; if (one < 0 || zero < 0 || seven < 0 || six < 0 || nine < 0) return; if (one > cnt[1]) return; if (zero > cnt[0]) return; if (seven > cnt[7]) return; if (six > cnt[6]) return; if (nine > cnt[9]) return; if (s0 - zero - six != base) return; if (s1 - one - zero != base) return; if (s2 - one != base) return; if (s3 - nine != base) return; if (s4 + one != base) return; if (s5 - zero + one + seven != base) return; if (s6 + zero != base) return; // If valid, find smallest String candidate = findSmallest(cnt, targetStr); if (candidate != null) { if (minForLen == null) { minForLen = candidate; } else { if (candidate.length() < minForLen.length() || (candidate.length() == minForLen.length() && candidate.compareTo(minForLen) < 0)) { minForLen = candidate; } } } } // Find smallest permutation >= targetStr static String findSmallest(int[] counts, String targetStr) { int totalDigits = 0; for (int c : counts) totalDigits += c; if (totalDigits > targetStr.length()) { // Find smallest non-zero digit for the first position for (int d = 1; d <= 9; d++) { if (counts[d] > 0) { StringBuilder sb = new StringBuilder(); sb.append(d); counts[d]--; // Append remaining digits in increasing order for (int k = 0; k <= 9; k++) { for (int j = 0; j < counts[k]; j++) { sb.append(k); } } counts[d]++; // backtrack return sb.toString(); } } return null; } else { // Same length, need >= targetStr return solveRecursive(0, true, counts, targetStr); } } static String solveRecursive(int idx, boolean tight, int[] counts, String targetStr) { if (idx == targetStr.length()) { return ""; } int start = tight ? (targetStr.charAt(idx) - '0') : 0; for (int d = start; d <= 9; d++) { if (counts[d] > 0) { counts[d]--; boolean nextTight = tight && (d == start); // Optimization: if not tight, we can just fill with smallest digits if (!nextTight) { StringBuilder sb = new StringBuilder(); sb.append(d); for (int k = 0; k <= 9; k++) { for (int j = 0; j < counts[k]; j++) { sb.append(k); } } counts[d]++; // backtrack return sb.toString(); } String res = solveRecursive(idx + 1, nextTight, counts, targetStr); if (res != null) { counts[d]++; // backtrack return d + res; } counts[d]++; // backtrack } } return null; } static class ContestScanner { private final java.io.InputStream in; private final byte[] buffer = new byte[1024]; private int ptr = 0; private int buflen = 0; private static final long LONG_MAX_TENTHS = 922337203685477580L; private static final int LONG_MAX_LAST_DIGIT = 7; private static final int LONG_MIN_LAST_DIGIT = 8; public ContestScanner(java.io.InputStream in) { this.in = in; } public ContestScanner() { this(System.in); } private boolean hasNextByte() { if (ptr < buflen) { return true; } else { ptr = 0; try { buflen = in.read(buffer); } catch (java.io.IOException e) { e.printStackTrace(); } if (buflen <= 0) { return false; } } return true; } private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1; } private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126; } public boolean hasNext() { while (hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte(); } public String next() { if (!hasNext()) throw new java.util.NoSuchElementException(); StringBuilder sb = new StringBuilder(); int b = readByte(); while (isPrintableChar(b)) { sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } public long nextLong() { if (!hasNext()) throw new java.util.NoSuchElementException(); long n = 0; boolean minus = false; int b = readByte(); if (b == '-') { minus = true; b = readByte(); } if (b < '0' || '9' < b) { throw new NumberFormatException(); } while (true) { if ('0' <= b && b <= '9') { int digit = b - '0'; if (n >= LONG_MAX_TENTHS) { if (n == LONG_MAX_TENTHS) { if (minus) { if (digit <= LONG_MIN_LAST_DIGIT) { n = -n * 10 - digit; b = readByte(); if (!isPrintableChar(b)) { return n; } else if (b < '0' || '9' < b) { throw new NumberFormatException( String.format("%d%s... is not number", n, Character.toString(b))); } } } else { if (digit <= LONG_MAX_LAST_DIGIT) { n = n * 10 + digit; b = readByte(); if (!isPrintableChar(b)) { return n; } else if (b < '0' || '9' < b) { throw new NumberFormatException( String.format("%d%s... is not number", n, Character.toString(b))); } } } } throw new ArithmeticException( String.format("%s%d%d... overflows long.", minus ? "-" : "", n, digit)); } n = n * 10 + digit; } else if (b == -1 || !isPrintableChar(b)) { return minus ? -n : n; } else { throw new NumberFormatException(); } b = readByte(); } } public int nextInt() { long nl = nextLong(); if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException(); return (int) nl; } public double nextDouble() { return Double.parseDouble(next()); } public long[] nextLongArray(int length) { long[] array = new long[length]; for (int i = 0; i < length; i++) array[i] = this.nextLong(); return array; } public long[] nextLongArray(int length, java.util.function.LongUnaryOperator map) { long[] array = new long[length]; for (int i = 0; i < length; i++) array[i] = map.applyAsLong(this.nextLong()); return array; } public int[] nextIntArray(int length) { int[] array = new int[length]; for (int i = 0; i < length; i++) array[i] = this.nextInt(); return array; } public int[][] nextIntArrayMulti(int length, int width) { int[][] arrays = new int[width][length]; for (int i = 0; i < length; i++) { for (int j = 0; j < width; j++) arrays[j][i] = this.nextInt(); } return arrays; } public int[] nextIntArray(int length, java.util.function.IntUnaryOperator map) { int[] array = new int[length]; for (int i = 0; i < length; i++) array[i] = map.applyAsInt(this.nextInt()); return array; } public double[] nextDoubleArray(int length) { double[] array = new double[length]; for (int i = 0; i < length; i++) array[i] = this.nextDouble(); return array; } public double[] nextDoubleArray(int length, java.util.function.DoubleUnaryOperator map) { double[] array = new double[length]; for (int i = 0; i < length; i++) array[i] = map.applyAsDouble(this.nextDouble()); return array; } public long[][] nextLongMatrix(int height, int width) { long[][] mat = new long[height][width]; for (int h = 0; h < height; h++) for (int w = 0; w < width; w++) { mat[h][w] = this.nextLong(); } return mat; } public int[][] nextIntMatrix(int height, int width) { int[][] mat = new int[height][width]; for (int h = 0; h < height; h++) for (int w = 0; w < width; w++) { mat[h][w] = this.nextInt(); } return mat; } public double[][] nextDoubleMatrix(int height, int width) { double[][] mat = new double[height][width]; for (int h = 0; h < height; h++) for (int w = 0; w < width; w++) { mat[h][w] = this.nextDouble(); } return mat; } public char[][] nextCharMatrix(int height, int width) { char[][] mat = new char[height][width]; for (int h = 0; h < height; h++) { String s = this.next(); for (int w = 0; w < width; w++) { mat[h][w] = s.charAt(w); } } return mat; } } static class ContestPrinter extends java.io.PrintWriter { public ContestPrinter(java.io.PrintStream stream) { super(stream); } public ContestPrinter() { super(System.out); } private static String dtos(double x, int n) { StringBuilder sb = new StringBuilder(); if (x < 0) { sb.append('-'); x = -x; } x += Math.pow(10, -n) / 2; sb.append((long) x); sb.append("."); x -= (long) x; for (int i = 0; i < n; i++) { x *= 10; sb.append((int) x); x -= (int) x; } return sb.toString(); } @Override public void print(float f) { super.print(dtos(f, 20)); } @Override public void println(float f) { super.println(dtos(f, 20)); } @Override public void print(double d) { super.print(dtos(d, 20)); } @Override public void println(double d) { super.println(dtos(d, 20)); } public void printArray(int[] array, String separator) { int n = array.length; for (int i = 0; i < n - 1; i++) { super.print(array[i]); super.print(separator); } super.println(array[n - 1]); } public void printArray(int[] array) { this.printArray(array, " "); } public void printArray(int[] array, String separator, java.util.function.IntUnaryOperator map) { int n = array.length; for (int i = 0; i < n - 1; i++) { super.print(map.applyAsInt(array[i])); super.print(separator); } super.println(map.applyAsInt(array[n - 1])); } public void printArray(int[] array, java.util.function.IntUnaryOperator map) { this.printArray(array, " ", map); } public void printArray(long[] array, String separator) { int n = array.length; for (int i = 0; i < n - 1; i++) { super.print(array[i]); super.print(separator); } super.println(array[n - 1]); } public void printArray(long[] array) { this.printArray(array, " "); } public void printArray(long[] array, String separator, java.util.function.LongUnaryOperator map) { int n = array.length; for (int i = 0; i < n - 1; i++) { super.print(map.applyAsLong(array[i])); super.print(separator); } super.println(map.applyAsLong(array[n - 1])); } public void printArray(long[] array, java.util.function.LongUnaryOperator map) { this.printArray(array, " ", map); } } }