Unix Crypt : Unix « Security « Java






Unix Crypt

     
/* Copyright c 2005-2012.
 * Licensed under GNU  LESSER General Public License, Version 3.
 * http://www.gnu.org/licenses
 */
//package org.beangle.security.codec;

import java.util.Random;

public class UnixCrypt {

  private UnixCrypt() {
  }

  private static final int byteToUnsigned(byte b) {
    int value = b;
    return value < 0 ? value + 256 : value;
  }

  private static int fourBytesToInt(byte b[], int offset) {
    int value = byteToUnsigned(b[offset++]);
    value |= byteToUnsigned(b[offset++]) << 8;
    value |= byteToUnsigned(b[offset++]) << 16;
    value |= byteToUnsigned(b[offset++]) << 24;
    return value;
  }

  private static final void intToFourBytes(int iValue, byte b[], int offset) {
    b[offset++] = (byte) (iValue & 0xff);
    b[offset++] = (byte) (iValue >>> 8 & 0xff);
    b[offset++] = (byte) (iValue >>> 16 & 0xff);
    b[offset++] = (byte) (iValue >>> 24 & 0xff);
  }

  private static final void PERM_OP(int a, int b, int n, int m, int results[]) {
    int t = (a >>> n ^ b) & m;
    a ^= t << n;
    b ^= t;
    results[0] = a;
    results[1] = b;
  }

  private static final int HPERM_OP(int a, int n, int m) {
    int t = (a << 16 - n ^ a) & m;
    a = a ^ t ^ t >>> 16 - n;
    return a;
  }

  private static int[] des_set_key(byte key[]) {
    int schedule[] = new int[32];
    int c = fourBytesToInt(key, 0);
    int d = fourBytesToInt(key, 4);
    int results[] = new int[2];
    PERM_OP(d, c, 4, 0xf0f0f0f, results);
    d = results[0];
    c = results[1];
    c = HPERM_OP(c, -2, 0xcccc0000);
    d = HPERM_OP(d, -2, 0xcccc0000);
    PERM_OP(d, c, 1, 0x55555555, results);
    d = results[0];
    c = results[1];
    PERM_OP(c, d, 8, 0xff00ff, results);
    c = results[0];
    d = results[1];
    PERM_OP(d, c, 1, 0x55555555, results);
    d = results[0];
    c = results[1];
    d = (d & 0xff) << 16 | d & 0xff00 | (d & 0xff0000) >>> 16
        | (c & 0xf0000000) >>> 4;
    c &= 0xfffffff;
    int j = 0;
    for (int i = 0; i < 16; i++) {
      if (shifts2[i]) {
        c = c >>> 2 | c << 26;
        d = d >>> 2 | d << 26;
      } else {
        c = c >>> 1 | c << 27;
        d = d >>> 1 | d << 27;
      }
      c &= 0xfffffff;
      d &= 0xfffffff;
      int s = skb[0][c & 0x3f] | skb[1][c >>> 6 & 3 | c >>> 7 & 0x3c]
          | skb[2][c >>> 13 & 0xf | c >>> 14 & 0x30]
          | skb[3][c >>> 20 & 1 | c >>> 21 & 6 | c >>> 22 & 0x38];
      int t = skb[4][d & 0x3f] | skb[5][d >>> 7 & 3 | d >>> 8 & 0x3c]
          | skb[6][d >>> 15 & 0x3f]
          | skb[7][d >>> 21 & 0xf | d >>> 22 & 0x30];
      schedule[j++] = (t << 16 | s & 0xffff) & -1;
      s = s >>> 16 | t & 0xffff0000;
      s = s << 4 | s >>> 28;
      schedule[j++] = s & -1;
    }

    return schedule;
  }

  private static final int D_ENCRYPT(int L, int R, int S, int E0, int E1,
      int s[]) {
    int v = R ^ R >>> 16;
    int u = v & E0;
    v &= E1;
    u = u ^ u << 16 ^ R ^ s[S];
    int t = v ^ v << 16 ^ R ^ s[S + 1];
    t = t >>> 4 | t << 28;
    L ^= SPtrans[1][t & 0x3f] | SPtrans[3][t >>> 8 & 0x3f]
        | SPtrans[5][t >>> 16 & 0x3f] | SPtrans[7][t >>> 24 & 0x3f]
        | SPtrans[0][u & 0x3f] | SPtrans[2][u >>> 8 & 0x3f]
        | SPtrans[4][u >>> 16 & 0x3f] | SPtrans[6][u >>> 24 & 0x3f];
    return L;
  }

  private static final int[] body(int schedule[], int Eswap0, int Eswap1) {
    int left = 0;
    int right = 0;
    int t = 0;
    for (int j = 0; j < 25; j++) {
      for (int i = 0; i < 32; i += 4) {
        left = D_ENCRYPT(left, right, i, Eswap0, Eswap1, schedule);
        right = D_ENCRYPT(right, left, i + 2, Eswap0, Eswap1, schedule);
      }

      t = left;
      left = right;
      right = t;
    }

    t = right;
    right = left >>> 1 | left << 31;
    left = t >>> 1 | t << 31;
    left &= -1;
    right &= -1;
    int results[] = new int[2];
    PERM_OP(right, left, 1, 0x55555555, results);
    right = results[0];
    left = results[1];
    PERM_OP(left, right, 8, 0xff00ff, results);
    left = results[0];
    right = results[1];
    PERM_OP(right, left, 2, 0x33333333, results);
    right = results[0];
    left = results[1];
    PERM_OP(left, right, 16, 65535, results);
    left = results[0];
    right = results[1];
    PERM_OP(right, left, 4, 0xf0f0f0f, results);
    right = results[0];
    left = results[1];
    int out[] = new int[2];
    out[0] = left;
    out[1] = right;
    return out;
  }

  public static final String crypt(String salt, String original) {
    for (; salt.length() < 2; salt = salt + "A")
      ;
    StringBuilder buffer = new StringBuilder("             ");
    char charZero = salt.charAt(0);
    char charOne = salt.charAt(1);
    buffer.setCharAt(0, charZero);
    buffer.setCharAt(1, charOne);
    int Eswap0 = con_salt[charZero];
    int Eswap1 = con_salt[charOne] << 4;
    byte key[] = new byte[8];
    for (int i = 0; i < key.length; i++)
      key[i] = 0;

    for (int i = 0; i < key.length && i < original.length(); i++) {
      int iChar = original.charAt(i);
      key[i] = (byte) (iChar << 1);
    }

    int schedule[] = des_set_key(key);
    int out[] = body(schedule, Eswap0, Eswap1);
    byte b[] = new byte[9];
    intToFourBytes(out[0], b, 0);
    intToFourBytes(out[1], b, 4);
    b[8] = 0;
    int i = 2;
    int y = 0;
    int u = 128;
    for (; i < 13; i++) {
      int j = 0;
      int c = 0;
      for (; j < 6; j++) {
        c <<= 1;
        if ((b[y] & u) != 0)
          c |= 1;
        u >>>= 1;
        if (u == 0) {
          y++;
          u = 128;
        }
        buffer.setCharAt(i, (char) cov_2char[c]);
      }

    }

    return buffer.toString();
  }

  public static final String crypt(String original) {
    Random randomGenerator = new Random();
    int numSaltChars = saltChars.length;
    String salt = ""
        + saltChars[Math.abs(randomGenerator.nextInt()) % numSaltChars]
        + saltChars[Math.abs(randomGenerator.nextInt()) % numSaltChars];
    return crypt(salt, original);
  }

  public static final boolean matches(String encryptedPassword,
      String enteredPassword) {
    String salt = encryptedPassword.substring(0, 3);
    String newCrypt = crypt(salt, enteredPassword);
    return newCrypt.equals(encryptedPassword);
  }

  private static final char saltChars[] = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789./"
      .toCharArray();
  // private static final int ITERATIONS = 16;
  private static final int con_salt[] = { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
      0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
      10, 11, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
      21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37,
      32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48,
      49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 0, 0,
      0, 0, 0 };
  private static final boolean shifts2[] = { false, false, true, true, true,
      true, true, true, false, true, true, true, true, true, true, false };
  private static final int skb[][] = {
      { 0, 16, 0x20000000, 0x20000010, 0x10000, 0x10010, 0x20010000,
          0x20010010, 2048, 2064, 0x20000800, 0x20000810, 0x10800,
          0x10810, 0x20010800, 0x20010810, 32, 48, 0x20000020,
          0x20000030, 0x10020, 0x10030, 0x20010020, 0x20010030, 2080,
          2096, 0x20000820, 0x20000830, 0x10820, 0x10830, 0x20010820,
          0x20010830, 0x80000, 0x80010, 0x20080000, 0x20080010,
          0x90000, 0x90010, 0x20090000, 0x20090010, 0x80800, 0x80810,
          0x20080800, 0x20080810, 0x90800, 0x90810, 0x20090800,
          0x20090810, 0x80020, 0x80030, 0x20080020, 0x20080030,
          0x90020, 0x90030, 0x20090020, 0x20090030, 0x80820, 0x80830,
          0x20080820, 0x20080830, 0x90820, 0x90830, 0x20090820,
          0x20090830 },
      { 0, 0x2000000, 8192, 0x2002000, 0x200000, 0x2200000, 0x202000,
          0x2202000, 4, 0x2000004, 8196, 0x2002004, 0x200004,
          0x2200004, 0x202004, 0x2202004, 1024, 0x2000400, 9216,
          0x2002400, 0x200400, 0x2200400, 0x202400, 0x2202400, 1028,
          0x2000404, 9220, 0x2002404, 0x200404, 0x2200404, 0x202404,
          0x2202404, 0x10000000, 0x12000000, 0x10002000, 0x12002000,
          0x10200000, 0x12200000, 0x10202000, 0x12202000, 0x10000004,
          0x12000004, 0x10002004, 0x12002004, 0x10200004, 0x12200004,
          0x10202004, 0x12202004, 0x10000400, 0x12000400, 0x10002400,
          0x12002400, 0x10200400, 0x12200400, 0x10202400, 0x12202400,
          0x10000404, 0x12000404, 0x10002404, 0x12002404, 0x10200404,
          0x12200404, 0x10202404, 0x12202404 },
      { 0, 1, 0x40000, 0x40001, 0x1000000, 0x1000001, 0x1040000,
          0x1040001, 2, 3, 0x40002, 0x40003, 0x1000002, 0x1000003,
          0x1040002, 0x1040003, 512, 513, 0x40200, 0x40201,
          0x1000200, 0x1000201, 0x1040200, 0x1040201, 514, 515,
          0x40202, 0x40203, 0x1000202, 0x1000203, 0x1040202,
          0x1040203, 0x8000000, 0x8000001, 0x8040000, 0x8040001,
          0x9000000, 0x9000001, 0x9040000, 0x9040001, 0x8000002,
          0x8000003, 0x8040002, 0x8040003, 0x9000002, 0x9000003,
          0x9040002, 0x9040003, 0x8000200, 0x8000201, 0x8040200,
          0x8040201, 0x9000200, 0x9000201, 0x9040200, 0x9040201,
          0x8000202, 0x8000203, 0x8040202, 0x8040203, 0x9000202,
          0x9000203, 0x9040202, 0x9040203 },
      { 0, 0x100000, 256, 0x100100, 8, 0x100008, 264, 0x100108, 4096,
          0x101000, 4352, 0x101100, 4104, 0x101008, 4360, 0x101108,
          0x4000000, 0x4100000, 0x4000100, 0x4100100, 0x4000008,
          0x4100008, 0x4000108, 0x4100108, 0x4001000, 0x4101000,
          0x4001100, 0x4101100, 0x4001008, 0x4101008, 0x4001108,
          0x4101108, 0x20000, 0x120000, 0x20100, 0x120100, 0x20008,
          0x120008, 0x20108, 0x120108, 0x21000, 0x121000, 0x21100,
          0x121100, 0x21008, 0x121008, 0x21108, 0x121108, 0x4020000,
          0x4120000, 0x4020100, 0x4120100, 0x4020008, 0x4120008,
          0x4020108, 0x4120108, 0x4021000, 0x4121000, 0x4021100,
          0x4121100, 0x4021008, 0x4121008, 0x4021108, 0x4121108 },
      { 0, 0x10000000, 0x10000, 0x10010000, 4, 0x10000004, 0x10004,
          0x10010004, 0x20000000, 0x30000000, 0x20010000, 0x30010000,
          0x20000004, 0x30000004, 0x20010004, 0x30010004, 0x100000,
          0x10100000, 0x110000, 0x10110000, 0x100004, 0x10100004,
          0x110004, 0x10110004, 0x20100000, 0x30100000, 0x20110000,
          0x30110000, 0x20100004, 0x30100004, 0x20110004, 0x30110004,
          4096, 0x10001000, 0x11000, 0x10011000, 4100, 0x10001004,
          0x11004, 0x10011004, 0x20001000, 0x30001000, 0x20011000,
          0x30011000, 0x20001004, 0x30001004, 0x20011004, 0x30011004,
          0x101000, 0x10101000, 0x111000, 0x10111000, 0x101004,
          0x10101004, 0x111004, 0x10111004, 0x20101000, 0x30101000,
          0x20111000, 0x30111000, 0x20101004, 0x30101004, 0x20111004,
          0x30111004 },
      { 0, 0x8000000, 8, 0x8000008, 1024, 0x8000400, 1032, 0x8000408,
          0x20000, 0x8020000, 0x20008, 0x8020008, 0x20400, 0x8020400,
          0x20408, 0x8020408, 1, 0x8000001, 9, 0x8000009, 1025,
          0x8000401, 1033, 0x8000409, 0x20001, 0x8020001, 0x20009,
          0x8020009, 0x20401, 0x8020401, 0x20409, 0x8020409,
          0x2000000, 0xa000000, 0x2000008, 0xa000008, 0x2000400,
          0xa000400, 0x2000408, 0xa000408, 0x2020000, 0xa020000,
          0x2020008, 0xa020008, 0x2020400, 0xa020400, 0x2020408,
          0xa020408, 0x2000001, 0xa000001, 0x2000009, 0xa000009,
          0x2000401, 0xa000401, 0x2000409, 0xa000409, 0x2020001,
          0xa020001, 0x2020009, 0xa020009, 0x2020401, 0xa020401,
          0x2020409, 0xa020409 },
      { 0, 256, 0x80000, 0x80100, 0x1000000, 0x1000100, 0x1080000,
          0x1080100, 16, 272, 0x80010, 0x80110, 0x1000010, 0x1000110,
          0x1080010, 0x1080110, 0x200000, 0x200100, 0x280000,
          0x280100, 0x1200000, 0x1200100, 0x1280000, 0x1280100,
          0x200010, 0x200110, 0x280010, 0x280110, 0x1200010,
          0x1200110, 0x1280010, 0x1280110, 512, 768, 0x80200,
          0x80300, 0x1000200, 0x1000300, 0x1080200, 0x1080300, 528,
          784, 0x80210, 0x80310, 0x1000210, 0x1000310, 0x1080210,
          0x1080310, 0x200200, 0x200300, 0x280200, 0x280300,
          0x1200200, 0x1200300, 0x1280200, 0x1280300, 0x200210,
          0x200310, 0x280210, 0x280310, 0x1200210, 0x1200310,
          0x1280210, 0x1280310 },
      { 0, 0x4000000, 0x40000, 0x4040000, 2, 0x4000002, 0x40002,
          0x4040002, 8192, 0x4002000, 0x42000, 0x4042000, 8194,
          0x4002002, 0x42002, 0x4042002, 32, 0x4000020, 0x40020,
          0x4040020, 34, 0x4000022, 0x40022, 0x4040022, 8224,
          0x4002020, 0x42020, 0x4042020, 8226, 0x4002022, 0x42022,
          0x4042022, 2048, 0x4000800, 0x40800, 0x4040800, 2050,
          0x4000802, 0x40802, 0x4040802, 10240, 0x4002800, 0x42800,
          0x4042800, 10242, 0x4002802, 0x42802, 0x4042802, 2080,
          0x4000820, 0x40820, 0x4040820, 2082, 0x4000822, 0x40822,
          0x4040822, 10272, 0x4002820, 0x42820, 0x4042820, 10274,
          0x4002822, 0x42822, 0x4042822 } };
  private static final int SPtrans[][] = {
      { 0x820200, 0x20000, 0x80800000, 0x80820200, 0x800000, 0x80020200,
          0x80020000, 0x80800000, 0x80020200, 0x820200, 0x820000,
          0x80000200, 0x80800200, 0x800000, 0, 0x80020000, 0x20000,
          0x80000000, 0x800200, 0x20200, 0x80820200, 0x820000,
          0x80000200, 0x800200, 0x80000000, 512, 0x20200, 0x80820000,
          512, 0x80800200, 0x80820000, 0, 0, 0x80820200, 0x800200,
          0x80020000, 0x820200, 0x20000, 0x80000200, 0x800200,
          0x80820000, 512, 0x20200, 0x80800000, 0x80020200,
          0x80000000, 0x80800000, 0x820000, 0x80820200, 0x20200,
          0x820000, 0x80800200, 0x800000, 0x80000200, 0x80020000, 0,
          0x20000, 0x800000, 0x80800200, 0x820200, 0x80000000,
          0x80820000, 512, 0x80020200 },
      { 0x10042004, 0, 0x42000, 0x10040000, 0x10000004, 8196, 0x10002000,
          0x42000, 8192, 0x10040004, 4, 0x10002000, 0x40004,
          0x10042000, 0x10040000, 4, 0x40000, 0x10002004, 0x10040004,
          8192, 0x42004, 0x10000000, 0, 0x40004, 0x10002004, 0x42004,
          0x10042000, 0x10000004, 0x10000000, 0x40000, 8196,
          0x10042004, 0x40004, 0x10042000, 0x10002000, 0x42004,
          0x10042004, 0x40004, 0x10000004, 0, 0x10000000, 8196,
          0x40000, 0x10040004, 8192, 0x10000000, 0x42004, 0x10002004,
          0x10042000, 8192, 0, 0x10000004, 4, 0x10042004, 0x42000,
          0x10040000, 0x10040004, 0x40000, 8196, 0x10002000,
          0x10002004, 4, 0x10040000, 0x42000 },
      { 0x41000000, 0x1010040, 64, 0x41000040, 0x40010000, 0x1000000,
          0x41000040, 0x10040, 0x1000040, 0x10000, 0x1010000,
          0x40000000, 0x41010040, 0x40000040, 0x40000000, 0x41010000,
          0, 0x40010000, 0x1010040, 64, 0x40000040, 0x41010040,
          0x10000, 0x41000000, 0x41010000, 0x1000040, 0x40010040,
          0x1010000, 0x10040, 0, 0x1000000, 0x40010040, 0x1010040,
          64, 0x40000000, 0x10000, 0x40000040, 0x40010000, 0x1010000,
          0x41000040, 0, 0x1010040, 0x10040, 0x41010000, 0x40010000,
          0x1000000, 0x41010040, 0x40000000, 0x40010040, 0x41000000,
          0x1000000, 0x41010040, 0x10000, 0x1000040, 0x41000040,
          0x10040, 0x1000040, 0, 0x41010000, 0x40000040, 0x41000000,
          0x40010040, 64, 0x1010000 },
      { 0x100402, 0x4000400, 2, 0x4100402, 0, 0x4100000, 0x4000402,
          0x100002, 0x4100400, 0x4000002, 0x4000000, 1026, 0x4000002,
          0x100402, 0x100000, 0x4000000, 0x4100002, 0x100400, 1024,
          2, 0x100400, 0x4000402, 0x4100000, 1024, 1026, 0, 0x100002,
          0x4100400, 0x4000400, 0x4100002, 0x4100402, 0x100000,
          0x4100002, 1026, 0x100000, 0x4000002, 0x100400, 0x4000400,
          2, 0x4100000, 0x4000402, 0, 1024, 0x100002, 0, 0x4100002,
          0x4100400, 1024, 0x4000000, 0x4100402, 0x100402, 0x100000,
          0x4100402, 2, 0x4000400, 0x100402, 0x100002, 0x100400,
          0x4100000, 0x4000402, 1026, 0x4000000, 0x4000002, 0x4100400 },
      { 0x2000000, 16384, 256, 0x2004108, 0x2004008, 0x2000100, 16648,
          0x2004000, 16384, 8, 0x2000008, 16640, 0x2000108,
          0x2004008, 0x2004100, 0, 16640, 0x2000000, 16392, 264,
          0x2000100, 16648, 0, 0x2000008, 8, 0x2000108, 0x2004108,
          16392, 0x2004000, 256, 264, 0x2004100, 0x2004100,
          0x2000108, 16392, 0x2004000, 16384, 8, 0x2000008,
          0x2000100, 0x2000000, 16640, 0x2004108, 0, 16648,
          0x2000000, 256, 16392, 0x2000108, 256, 0, 0x2004108,
          0x2004008, 0x2004100, 264, 16384, 16640, 0x2004008,
          0x2000100, 264, 8, 16648, 0x2004000, 0x2000008 },
      { 0x20000010, 0x80010, 0, 0x20080800, 0x80010, 2048, 0x20000810,
          0x80000, 2064, 0x20080810, 0x80800, 0x20000000, 0x20000800,
          0x20000010, 0x20080000, 0x80810, 0x80000, 0x20000810,
          0x20080010, 0, 2048, 16, 0x20080800, 0x20080010,
          0x20080810, 0x20080000, 0x20000000, 2064, 16, 0x80800,
          0x80810, 0x20000800, 2064, 0x20000000, 0x20000800, 0x80810,
          0x20080800, 0x80010, 0, 0x20000800, 0x20000000, 2048,
          0x20080010, 0x80000, 0x80010, 0x20080810, 0x80800, 16,
          0x20080810, 0x80800, 0x80000, 0x20000810, 0x20000010,
          0x20080000, 0x80810, 0, 2048, 0x20000010, 0x20000810,
          0x20080800, 0x20080000, 2064, 16, 0x20080010 },
      { 4096, 128, 0x400080, 0x400001, 0x401081, 4097, 4224, 0, 0x400000,
          0x400081, 129, 0x401000, 1, 0x401080, 0x401000, 129,
          0x400081, 4096, 4097, 0x401081, 0, 0x400080, 0x400001,
          4224, 0x401001, 4225, 0x401080, 1, 4225, 0x401001, 128,
          0x400000, 4225, 0x401000, 0x401001, 129, 4096, 128,
          0x400000, 0x401001, 0x400081, 4225, 4224, 0, 128, 0x400001,
          1, 0x400080, 0, 0x400081, 0x400080, 4224, 129, 4096,
          0x401081, 0x400000, 0x401080, 1, 4097, 0x401081, 0x400001,
          0x401080, 0x401000, 4097 },
      { 0x8200020, 0x8208000, 32800, 0, 0x8008000, 0x200020, 0x8200000,
          0x8208020, 32, 0x8000000, 0x208000, 32800, 0x208020,
          0x8008020, 0x8000020, 0x8200000, 32768, 0x208020, 0x200020,
          0x8008000, 0x8208020, 0x8000020, 0, 0x208000, 0x8000000,
          0x200000, 0x8008020, 0x8200020, 0x200000, 32768, 0x8208000,
          32, 0x200000, 32768, 0x8000020, 0x8208020, 32800,
          0x8000000, 0, 0x208000, 0x8200020, 0x8008020, 0x8008000,
          0x200020, 0x8208000, 32, 0x200020, 0x8008000, 0x8208020,
          0x200000, 0x8200000, 0x8000020, 0x208000, 32800, 0x8008020,
          0x8200000, 32, 0x8208000, 0x208020, 0, 0x8000000,
          0x8200020, 32768, 0x208020 } };
  private static final int cov_2char[] = { 46, 47, 48, 49, 50, 51, 52, 53,
      54, 55, 56, 57, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77,
      78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 97, 98, 99,
      100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112,
      113, 114, 115, 116, 117, 118, 119, 120, 121, 122 };

}

   
    
    
    
    
  








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