path: root/Emby.Server.Implementations/TextEncoding/UniversalDetector/Core/CharDistributionAnalyser.cs

/* ***** BEGIN LICENSE BLOCK *****
 * Version: MPL 1.1/GPL 2.0/LGPL 2.1
 *
 * The contents of this file are subject to the Mozilla Public License Version
 * 1.1 (the "License"); you may not use this file except in compliance with
 * the License. You may obtain a copy of the License at
 * http://www.mozilla.org/MPL/
 *
 * Software distributed under the License is distributed on an "AS IS" basis,
 * WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
 * for the specific language governing rights and limitations under the
 * License.
 *
 * The Original Code is Mozilla Universal charset detector code.
 *
 * The Initial Developer of the Original Code is
 * Netscape Communications Corporation.
 * Portions created by the Initial Developer are Copyright (C) 2001
 * the Initial Developer. All Rights Reserved.
 *
 * Contributor(s):
 *          Shy Shalom <shooshX@gmail.com>
 *          Rudi Pettazzi <rudi.pettazzi@gmail.com> (C# port)
 * Alternatively, the contents of this file may be used under the terms of
 * either the GNU General Public License Version 2 or later (the "GPL"), or
 * the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
 * in which case the provisions of the GPL or the LGPL are applicable instead
 * of those above. If you wish to allow use of your version of this file only
 * under the terms of either the GPL or the LGPL, and not to allow others to
 * use your version of this file under the terms of the MPL, indicate your
 * decision by deleting the provisions above and replace them with the notice
 * and other provisions required by the GPL or the LGPL. If you do not delete
 * the provisions above, a recipient may use your version of this file under
 * the terms of any one of the MPL, the GPL or the LGPL.
 *
 * ***** END LICENSE BLOCK ***** */

namespace UniversalDetector.Core
{
    /// <summary>
    /// Base class for the Character Distribution Method, used for 
    /// the CJK encodings
    /// </summary>
    public abstract class CharDistributionAnalyser
    {
        
        protected const float SURE_YES = 0.99f;
        protected const float SURE_NO = 0.01f;
        protected const int MINIMUM_DATA_THRESHOLD = 4;
        protected const int ENOUGH_DATA_THRESHOLD = 1024;

        //If this flag is set to PR_TRUE, detection is done and conclusion has been made
        protected bool done;

        // The number of characters whose frequency order is less than 512
        protected int freqChars;

        //Total character encounted.
        protected int totalChars;
        
        // Mapping table to get frequency order from char order (get from GetOrder())
        protected int[] charToFreqOrder;

        // Size of above table
        protected int tableSize;

        //This is a constant value varies from language to language, it is used 
        // in calculating confidence. 
        protected float typicalDistributionRatio;        

        public CharDistributionAnalyser()
        { 
            Reset();
        }

        /// <summary>
        /// Feed a block of data and do distribution analysis
        /// </summary>
        /// </param>
        //public abstract void HandleData(byte[] buf, int offset, int len); 
                
        /// <summary>
        /// we do not handle character base on its original encoding string, but 
        /// convert this encoding string to a number, here called order.
        /// This allow multiple encoding of a language to share one frequency table
        /// </summary>
        /// <param name="buf">A <see cref="System.Byte"/></param>
        /// <param name="offset"></param>
        /// <returns></returns>
        public abstract int GetOrder(byte[] buf, int offset);
        
        /// <summary>
        /// Feed a character with known length 
        /// </summary>
        /// <param name="buf">A <see cref="System.Byte"/></param>
        /// <param name="offset">buf offset</param>
        public void HandleOneChar(byte[] buf, int offset, int charLen)
        {
            //we only care about 2-bytes character in our distribution analysis
            int order = (charLen == 2) ? GetOrder(buf, offset) : -1;
            if (order >= 0) {
                totalChars++;
                if (order < tableSize) { // order is valid
                    if (512 > charToFreqOrder[order])
                        freqChars++;
                }
            }
        }

        public virtual void Reset() 
        {
            done = false;
            totalChars = 0;
            freqChars = 0;
        }
        
        /// <summary>
        /// return confidence base on received data
        /// </summary>
        /// <returns></returns>
        public virtual float GetConfidence()
        {
            //if we didn't receive any character in our consideration range, or the
            // number of frequent characters is below the minimum threshold, return
            // negative answer
            if (totalChars <= 0 || freqChars <= MINIMUM_DATA_THRESHOLD)
                return SURE_NO;
            if (totalChars != freqChars) {
                float r = freqChars / ((totalChars - freqChars) * typicalDistributionRatio);
                if (r < SURE_YES)
                    return r;
            }
            //normalize confidence, (we don't want to be 100% sure)
            return SURE_YES;
        }
        
        //It is not necessary to receive all data to draw conclusion. For charset detection,
        // certain amount of data is enough
        public bool GotEnoughData() 
        {
            return totalChars > ENOUGH_DATA_THRESHOLD;
        }

    }
    
    public class GB18030DistributionAnalyser : CharDistributionAnalyser
    {
        // GB2312 most frequently used character table
        // Char to FreqOrder table, from hz6763
        /******************************************************************************
         * 512  --> 0.79  -- 0.79
         * 1024 --> 0.92  -- 0.13
         * 2048 --> 0.98  -- 0.06
         * 6768 --> 1.00  -- 0.02
         *
         * Idea Distribution Ratio = 0.79135/(1-0.79135) = 3.79
         * Random Distribution Ration = 512 / (3755 - 512) = 0.157
         * 
         * Typical Distribution Ratio about 25% of Ideal one, still much higher that RDR
         *****************************************************************************/

        private static float GB2312_TYPICAL_DISTRIBUTION_RATIO = 0.9f;

        private static int GB2312_TABLE_SIZE = 3760;

        private static int[] GB2312_CHAR2FREQ_ORDER = {
        1671, 749,1443,2364,3924,3807,2330,3921,1704,3463,2691,1511,1515, 572,3191,2205,
        2361, 224,2558, 479,1711, 963,3162, 440,4060,1905,2966,2947,3580,2647,3961,3842,
        2204, 869,4207, 970,2678,5626,2944,2956,1479,4048, 514,3595, 588,1346,2820,3409,
         249,4088,1746,1873,2047,1774, 581,1813, 358,1174,3590,1014,1561,4844,2245, 670,
        1636,3112, 889,1286, 953, 556,2327,3060,1290,3141, 613, 185,3477,1367, 850,3820,
        1715,2428,2642,2303,2732,3041,2562,2648,3566,3946,1349, 388,3098,2091,1360,3585,
         152,1687,1539, 738,1559,  59,1232,2925,2267,1388,1249,1741,1679,2960, 151,1566,
        1125,1352,4271, 924,4296, 385,3166,4459, 310,1245,2850,  70,3285,2729,3534,3575,
        2398,3298,3466,1960,2265, 217,3647, 864,1909,2084,4401,2773,1010,3269,5152, 853,
        3051,3121,1244,4251,1895, 364,1499,1540,2313,1180,3655,2268, 562, 715,2417,3061,
         544, 336,3768,2380,1752,4075, 950, 280,2425,4382, 183,2759,3272, 333,4297,2155,
        1688,2356,1444,1039,4540, 736,1177,3349,2443,2368,2144,2225, 565, 196,1482,3406,
         927,1335,4147, 692, 878,1311,1653,3911,3622,1378,4200,1840,2969,3149,2126,1816,
        2534,1546,2393,2760, 737,2494,  13, 447, 245,2747,  38,2765,2129,2589,1079, 606,
         360, 471,3755,2890, 404, 848, 699,1785,1236, 370,2221,1023,3746,2074,2026,2023,
        2388,1581,2119, 812,1141,3091,2536,1519, 804,2053, 406,1596,1090, 784, 548,4414,
        1806,2264,2936,1100, 343,4114,5096, 622,3358, 743,3668,1510,1626,5020,3567,2513,
        3195,4115,5627,2489,2991,  24,2065,2697,1087,2719,  48,1634, 315,  68, 985,2052,
         198,2239,1347,1107,1439, 597,2366,2172, 871,3307, 919,2487,2790,1867, 236,2570,
        1413,3794, 906,3365,3381,1701,1982,1818,1524,2924,1205, 616,2586,2072,2004, 575,
         253,3099,  32,1365,1182, 197,1714,2454,1201, 554,3388,3224,2748, 756,2587, 250,
        2567,1507,1517,3529,1922,2761,2337,3416,1961,1677,2452,2238,3153, 615, 911,1506,
        1474,2495,1265,1906,2749,3756,3280,2161, 898,2714,1759,3450,2243,2444, 563,  26,
        3286,2266,3769,3344,2707,3677, 611,1402, 531,1028,2871,4548,1375, 261,2948, 835,
        1190,4134, 353, 840,2684,1900,3082,1435,2109,1207,1674, 329,1872,2781,4055,2686,
        2104, 608,3318,2423,2957,2768,1108,3739,3512,3271,3985,2203,1771,3520,1418,2054,
        1681,1153, 225,1627,2929, 162,2050,2511,3687,1954, 124,1859,2431,1684,3032,2894,
         585,4805,3969,2869,2704,2088,2032,2095,3656,2635,4362,2209, 256, 518,2042,2105,
        3777,3657, 643,2298,1148,1779, 190, 989,3544, 414,  11,2135,2063,2979,1471, 403,
        3678, 126, 770,1563, 671,2499,3216,2877, 600,1179, 307,2805,4937,1268,1297,2694,
         252,4032,1448,1494,1331,1394, 127,2256, 222,1647,1035,1481,3056,1915,1048, 873,
        3651, 210,  33,1608,2516, 200,1520, 415, 102,   0,3389,1287, 817,  91,3299,2940,
         836,1814, 549,2197,1396,1669,2987,3582,2297,2848,4528,1070, 687,  20,1819, 121,
        1552,1364,1461,1968,2617,3540,2824,2083, 177, 948,4938,2291, 110,4549,2066, 648,
        3359,1755,2110,2114,4642,4845,1693,3937,3308,1257,1869,2123, 208,1804,3159,2992,
        2531,2549,3361,2418,1350,2347,2800,2568,1291,2036,2680,  72, 842,1990, 212,1233,
        1154,1586,  75,2027,3410,4900,1823,1337,2710,2676, 728,2810,1522,3026,4995, 157,
         755,1050,4022, 710, 785,1936,2194,2085,1406,2777,2400, 150,1250,4049,1206, 807,
        1910, 534, 529,3309,1721,1660, 274,  39,2827, 661,2670,1578, 925,3248,3815,1094,
        4278,4901,4252,  41,1150,3747,2572,2227,4501,3658,4902,3813,3357,3617,2884,2258,
         887, 538,4187,3199,1294,2439,3042,2329,2343,2497,1255, 107, 543,1527, 521,3478,
        3568, 194,5062,  15, 961,3870,1241,1192,2664,  66,5215,3260,2111,1295,1127,2152,
        3805,4135, 901,1164,1976, 398,1278, 530,1460, 748, 904,1054,1966,1426,  53,2909,
         509, 523,2279,1534, 536,1019, 239,1685, 460,2353, 673,1065,2401,3600,4298,2272,
        1272,2363, 284,1753,3679,4064,1695,  81, 815,2677,2757,2731,1386, 859, 500,4221,
        2190,2566, 757,1006,2519,2068,1166,1455, 337,2654,3203,1863,1682,1914,3025,1252,
        1409,1366, 847, 714,2834,2038,3209, 964,2970,1901, 885,2553,1078,1756,3049, 301,
        1572,3326, 688,2130,1996,2429,1805,1648,2930,3421,2750,3652,3088, 262,1158,1254,
         389,1641,1812, 526,1719, 923,2073,1073,1902, 468, 489,4625,1140, 857,2375,3070,
        3319,2863, 380, 116,1328,2693,1161,2244, 273,1212,1884,2769,3011,1775,1142, 461,
        3066,1200,2147,2212, 790, 702,2695,4222,1601,1058, 434,2338,5153,3640,  67,2360,
        4099,2502, 618,3472,1329, 416,1132, 830,2782,1807,2653,3211,3510,1662, 192,2124,
         296,3979,1739,1611,3684,  23, 118, 324, 446,1239,1225, 293,2520,3814,3795,2535,
        3116,  17,1074, 467,2692,2201, 387,2922,  45,1326,3055,1645,3659,2817, 958, 243,
        1903,2320,1339,2825,1784,3289, 356, 576, 865,2315,2381,3377,3916,1088,3122,1713,
        1655, 935, 628,4689,1034,1327, 441, 800, 720, 894,1979,2183,1528,5289,2702,1071,
        4046,3572,2399,1571,3281,  79, 761,1103, 327, 134, 758,1899,1371,1615, 879, 442,
         215,2605,2579, 173,2048,2485,1057,2975,3317,1097,2253,3801,4263,1403,1650,2946,
         814,4968,3487,1548,2644,1567,1285,   2, 295,2636,  97, 946,3576, 832, 141,4257,
        3273, 760,3821,3521,3156,2607, 949,1024,1733,1516,1803,1920,2125,2283,2665,3180,
        1501,2064,3560,2171,1592, 803,3518,1416, 732,3897,4258,1363,1362,2458, 119,1427,
         602,1525,2608,1605,1639,3175, 694,3064,  10, 465,  76,2000,4846,4208, 444,3781,
        1619,3353,2206,1273,3796, 740,2483, 320,1723,2377,3660,2619,1359,1137,1762,1724,
        2345,2842,1850,1862, 912, 821,1866, 612,2625,1735,2573,3369,1093, 844,  89, 937,
         930,1424,3564,2413,2972,1004,3046,3019,2011, 711,3171,1452,4178, 428, 801,1943,
         432, 445,2811, 206,4136,1472, 730, 349,  73, 397,2802,2547, 998,1637,1167, 789,
         396,3217, 154,1218, 716,1120,1780,2819,4826,1931,3334,3762,2139,1215,2627, 552,
        3664,3628,3232,1405,2383,3111,1356,2652,3577,3320,3101,1703, 640,1045,1370,1246,
        4996, 371,1575,2436,1621,2210, 984,4033,1734,2638,  16,4529, 663,2755,3255,1451,
        3917,2257,1253,1955,2234,1263,2951, 214,1229, 617, 485, 359,1831,1969, 473,2310,
         750,2058, 165,  80,2864,2419, 361,4344,2416,2479,1134, 796,3726,1266,2943, 860,
        2715, 938, 390,2734,1313,1384, 248, 202, 877,1064,2854, 522,3907, 279,1602, 297,
        2357, 395,3740, 137,2075, 944,4089,2584,1267,3802,  62,1533,2285, 178, 176, 780,
        2440, 201,3707, 590, 478,1560,4354,2117,1075,  30,  74,4643,4004,1635,1441,2745,
         776,2596, 238,1077,1692,1912,2844, 605, 499,1742,3947, 241,3053, 980,1749, 936,
        2640,4511,2582, 515,1543,2162,5322,2892,2993, 890,2148,1924, 665,1827,3581,1032,
         968,3163, 339,1044,1896, 270, 583,1791,1720,4367,1194,3488,3669,  43,2523,1657,
         163,2167, 290,1209,1622,3378, 550, 634,2508,2510, 695,2634,2384,2512,1476,1414,
         220,1469,2341,2138,2852,3183,2900,4939,2865,3502,1211,3680, 854,3227,1299,2976,
        3172, 186,2998,1459, 443,1067,3251,1495, 321,1932,3054, 909, 753,1410,1828, 436,
        2441,1119,1587,3164,2186,1258, 227, 231,1425,1890,3200,3942, 247, 959, 725,5254,
        2741, 577,2158,2079, 929, 120, 174, 838,2813, 591,1115, 417,2024,  40,3240,1536,
        1037, 291,4151,2354, 632,1298,2406,2500,3535,1825,1846,3451, 205,1171, 345,4238,
          18,1163, 811, 685,2208,1217, 425,1312,1508,1175,4308,2552,1033, 587,1381,3059,
        2984,3482, 340,1316,4023,3972, 792,3176, 519, 777,4690, 918, 933,4130,2981,3741,
          90,3360,2911,2200,5184,4550, 609,3079,2030, 272,3379,2736, 363,3881,1130,1447,
         286, 779, 357,1169,3350,3137,1630,1220,2687,2391, 747,1277,3688,2618,2682,2601,
        1156,3196,5290,4034,3102,1689,3596,3128, 874, 219,2783, 798, 508,1843,2461, 269,
        1658,1776,1392,1913,2983,3287,2866,2159,2372, 829,4076,  46,4253,2873,1889,1894,
         915,1834,1631,2181,2318, 298, 664,2818,3555,2735, 954,3228,3117, 527,3511,2173,
         681,2712,3033,2247,2346,3467,1652, 155,2164,3382, 113,1994, 450, 899, 494, 994,
        1237,2958,1875,2336,1926,3727, 545,1577,1550, 633,3473, 204,1305,3072,2410,1956,
        2471, 707,2134, 841,2195,2196,2663,3843,1026,4940, 990,3252,4997, 368,1092, 437,
        3212,3258,1933,1829, 675,2977,2893, 412, 943,3723,4644,3294,3283,2230,2373,5154,
        2389,2241,2661,2323,1404,2524, 593, 787, 677,3008,1275,2059, 438,2709,2609,2240,
        2269,2246,1446,  36,1568,1373,3892,1574,2301,1456,3962, 693,2276,5216,2035,1143,
        2720,1919,1797,1811,2763,4137,2597,1830,1699,1488,1198,2090, 424,1694, 312,3634,
        3390,4179,3335,2252,1214, 561,1059,3243,2295,2561, 975,5155,2321,2751,3772, 472,
        1537,3282,3398,1047,2077,2348,2878,1323,3340,3076, 690,2906,  51, 369, 170,3541,
        1060,2187,2688,3670,2541,1083,1683, 928,3918, 459, 109,4427, 599,3744,4286, 143,
        2101,2730,2490,  82,1588,3036,2121, 281,1860, 477,4035,1238,2812,3020,2716,3312,
        1530,2188,2055,1317, 843, 636,1808,1173,3495, 649, 181,1002, 147,3641,1159,2414,
        3750,2289,2795, 813,3123,2610,1136,4368,   5,3391,4541,2174, 420, 429,1728, 754,
        1228,2115,2219, 347,2223,2733, 735,1518,3003,2355,3134,1764,3948,3329,1888,2424,
        1001,1234,1972,3321,3363,1672,1021,1450,1584, 226, 765, 655,2526,3404,3244,2302,
        3665, 731, 594,2184, 319,1576, 621, 658,2656,4299,2099,3864,1279,2071,2598,2739,
         795,3086,3699,3908,1707,2352,2402,1382,3136,2475,1465,4847,3496,3865,1085,3004,
        2591,1084, 213,2287,1963,3565,2250, 822, 793,4574,3187,1772,1789,3050, 595,1484,
        1959,2770,1080,2650, 456, 422,2996, 940,3322,4328,4345,3092,2742, 965,2784, 739,
        4124, 952,1358,2498,2949,2565, 332,2698,2378, 660,2260,2473,4194,3856,2919, 535,
        1260,2651,1208,1428,1300,1949,1303,2942, 433,2455,2450,1251,1946, 614,1269, 641,
        1306,1810,2737,3078,2912, 564,2365,1419,1415,1497,4460,2367,2185,1379,3005,1307,
        3218,2175,1897,3063, 682,1157,4040,4005,1712,1160,1941,1399, 394, 402,2952,1573,
        1151,2986,2404, 862, 299,2033,1489,3006, 346, 171,2886,3401,1726,2932, 168,2533,
          47,2507,1030,3735,1145,3370,1395,1318,1579,3609,4560,2857,4116,1457,2529,1965,
         504,1036,2690,2988,2405, 745,5871, 849,2397,2056,3081, 863,2359,3857,2096,  99,
        1397,1769,2300,4428,1643,3455,1978,1757,3718,1440,  35,4879,3742,1296,4228,2280,
         160,5063,1599,2013, 166, 520,3479,1646,3345,3012, 490,1937,1545,1264,2182,2505,
        1096,1188,1369,1436,2421,1667,2792,2460,1270,2122, 727,3167,2143, 806,1706,1012,
        1800,3037, 960,2218,1882, 805, 139,2456,1139,1521, 851,1052,3093,3089, 342,2039,
         744,5097,1468,1502,1585,2087, 223, 939, 326,2140,2577, 892,2481,1623,4077, 982,
        3708, 135,2131,  87,2503,3114,2326,1106, 876,1616, 547,2997,2831,2093,3441,4530,
        4314,   9,3256,4229,4148, 659,1462,1986,1710,2046,2913,2231,4090,4880,5255,3392,
        3274,1368,3689,4645,1477, 705,3384,3635,1068,1529,2941,1458,3782,1509, 100,1656,
        2548, 718,2339, 408,1590,2780,3548,1838,4117,3719,1345,3530, 717,3442,2778,3220,
        2898,1892,4590,3614,3371,2043,1998,1224,3483, 891, 635, 584,2559,3355, 733,1766,
        1729,1172,3789,1891,2307, 781,2982,2271,1957,1580,5773,2633,2005,4195,3097,1535,
        3213,1189,1934,5693,3262, 586,3118,1324,1598, 517,1564,2217,1868,1893,4445,3728,
        2703,3139,1526,1787,1992,3882,2875,1549,1199,1056,2224,1904,2711,5098,4287, 338,
        1993,3129,3489,2689,1809,2815,1997, 957,1855,3898,2550,3275,3057,1105,1319, 627,
        1505,1911,1883,3526, 698,3629,3456,1833,1431, 746,  77,1261,2017,2296,1977,1885,
         125,1334,1600, 525,1798,1109,2222,1470,1945, 559,2236,1186,3443,2476,1929,1411,
        2411,3135,1777,3372,2621,1841,1613,3229, 668,1430,1839,2643,2916, 195,1989,2671,
        2358,1387, 629,3205,2293,5256,4439, 123,1310, 888,1879,4300,3021,3605,1003,1162,
        3192,2910,2010, 140,2395,2859,  55,1082,2012,2901, 662, 419,2081,1438, 680,2774,
        4654,3912,1620,1731,1625,5035,4065,2328, 512,1344, 802,5443,2163,2311,2537, 524,
        3399,  98,1155,2103,1918,2606,3925,2816,1393,2465,1504,3773,2177,3963,1478,4346,
         180,1113,4655,3461,2028,1698, 833,2696,1235,1322,1594,4408,3623,3013,3225,2040,
        3022, 541,2881, 607,3632,2029,1665,1219, 639,1385,1686,1099,2803,3231,1938,3188,
        2858, 427, 676,2772,1168,2025, 454,3253,2486,3556, 230,1950, 580, 791,1991,1280,
        1086,1974,2034, 630, 257,3338,2788,4903,1017,  86,4790, 966,2789,1995,1696,1131,
         259,3095,4188,1308, 179,1463,5257, 289,4107,1248,  42,3413,1725,2288, 896,1947,
         774,4474,4254, 604,3430,4264, 392,2514,2588, 452, 237,1408,3018, 988,4531,1970,
        3034,3310, 540,2370,1562,1288,2990, 502,4765,1147,   4,1853,2708, 207, 294,2814,
        4078,2902,2509, 684,  34,3105,3532,2551, 644, 709,2801,2344, 573,1727,3573,3557,
        2021,1081,3100,4315,2100,3681, 199,2263,1837,2385, 146,3484,1195,2776,3949, 997,
        1939,3973,1008,1091,1202,1962,1847,1149,4209,5444,1076, 493, 117,5400,2521, 972,
        1490,2934,1796,4542,2374,1512,2933,2657, 413,2888,1135,2762,2314,2156,1355,2369,
         766,2007,2527,2170,3124,2491,2593,2632,4757,2437, 234,3125,3591,1898,1750,1376,
        1942,3468,3138, 570,2127,2145,3276,4131, 962, 132,1445,4196,  19, 941,3624,3480,
        3366,1973,1374,4461,3431,2629, 283,2415,2275, 808,2887,3620,2112,2563,1353,3610,
         955,1089,3103,1053,  96,  88,4097, 823,3808,1583, 399, 292,4091,3313, 421,1128,
         642,4006, 903,2539,1877,2082, 596,  29,4066,1790, 722,2157, 130, 995,1569, 769,
        1485, 464, 513,2213, 288,1923,1101,2453,4316, 133, 486,2445,  50, 625, 487,2207,
          57, 423, 481,2962, 159,3729,1558, 491, 303, 482, 501, 240,2837, 112,3648,2392,
        1783, 362,   8,3433,3422, 610,2793,3277,1390,1284,1654,  21,3823, 734, 367, 623,
         193, 287, 374,1009,1483, 816, 476, 313,2255,2340,1262,2150,2899,1146,2581, 782,
        2116,1659,2018,1880, 255,3586,3314,1110,2867,2137,2564, 986,2767,5185,2006, 650,
         158, 926, 762, 881,3157,2717,2362,3587, 306,3690,3245,1542,3077,2427,1691,2478,
        2118,2985,3490,2438, 539,2305, 983, 129,1754, 355,4201,2386, 827,2923, 104,1773,
        2838,2771, 411,2905,3919, 376, 767, 122,1114, 828,2422,1817,3506, 266,3460,1007,
        1609,4998, 945,2612,4429,2274, 726,1247,1964,2914,2199,2070,4002,4108, 657,3323,
        1422, 579, 455,2764,4737,1222,2895,1670, 824,1223,1487,2525, 558, 861,3080, 598,
        2659,2515,1967, 752,2583,2376,2214,4180, 977, 704,2464,4999,2622,4109,1210,2961,
         819,1541, 142,2284,  44, 418, 457,1126,3730,4347,4626,1644,1876,3671,1864, 302,
        1063,5694, 624, 723,1984,3745,1314,1676,2488,1610,1449,3558,3569,2166,2098, 409,
        1011,2325,3704,2306, 818,1732,1383,1824,1844,3757, 999,2705,3497,1216,1423,2683,
        2426,2954,2501,2726,2229,1475,2554,5064,1971,1794,1666,2014,1343, 783, 724, 191,
        2434,1354,2220,5065,1763,2752,2472,4152, 131, 175,2885,3434,  92,1466,4920,2616,
        3871,3872,3866, 128,1551,1632, 669,1854,3682,4691,4125,1230, 188,2973,3290,1302,
        1213, 560,3266, 917, 763,3909,3249,1760, 868,1958, 764,1782,2097, 145,2277,3774,
        4462,  64,1491,3062, 971,2132,3606,2442, 221,1226,1617, 218, 323,1185,3207,3147,
         571, 619,1473,1005,1744,2281, 449,1887,2396,3685, 275, 375,3816,1743,3844,3731,
         845,1983,2350,4210,1377, 773, 967,3499,3052,3743,2725,4007,1697,1022,3943,1464,
        3264,2855,2722,1952,1029,2839,2467,  84,4383,2215, 820,1391,2015,2448,3672, 377,
        1948,2168, 797,2545,3536,2578,2645,  94,2874,1678, 405,1259,3071, 771, 546,1315,
         470,1243,3083, 895,2468, 981, 969,2037, 846,4181, 653,1276,2928,  14,2594, 557,
        3007,2474, 156, 902,1338,1740,2574, 537,2518, 973,2282,2216,2433,1928, 138,2903,
        1293,2631,1612, 646,3457, 839,2935, 111, 496,2191,2847, 589,3186, 149,3994,2060,
        4031,2641,4067,3145,1870,  37,3597,2136,1025,2051,3009,3383,3549,1121,1016,3261,
        1301, 251,2446,2599,2153, 872,3246, 637, 334,3705, 831, 884, 921,3065,3140,4092,
        2198,1944, 246,2964, 108,2045,1152,1921,2308,1031, 203,3173,4170,1907,3890, 810,
        1401,2003,1690, 506, 647,1242,2828,1761,1649,3208,2249,1589,3709,2931,5156,1708,
         498, 666,2613, 834,3817,1231, 184,2851,1124, 883,3197,2261,3710,1765,1553,2658,
        1178,2639,2351,  93,1193, 942,2538,2141,4402, 235,1821, 870,1591,2192,1709,1871,
        3341,1618,4126,2595,2334, 603, 651,  69, 701, 268,2662,3411,2555,1380,1606, 503,
         448, 254,2371,2646, 574,1187,2309,1770, 322,2235,1292,1801, 305, 566,1133, 229,
        2067,2057, 706, 167, 483,2002,2672,3295,1820,3561,3067, 316, 378,2746,3452,1112,
         136,1981, 507,1651,2917,1117, 285,4591, 182,2580,3522,1304, 335,3303,1835,2504,
        1795,1792,2248, 674,1018,2106,2449,1857,2292,2845, 976,3047,1781,2600,2727,1389,
        1281,  52,3152, 153, 265,3950, 672,3485,3951,4463, 430,1183, 365, 278,2169,  27,
        1407,1336,2304, 209,1340,1730,2202,1852,2403,2883, 979,1737,1062, 631,2829,2542,
        3876,2592, 825,2086,2226,3048,3625, 352,1417,3724, 542, 991, 431,1351,3938,1861,
        2294, 826,1361,2927,3142,3503,1738, 463,2462,2723, 582,1916,1595,2808, 400,3845,
        3891,2868,3621,2254,  58,2492,1123, 910,2160,2614,1372,1603,1196,1072,3385,1700,
        3267,1980, 696, 480,2430, 920, 799,1570,2920,1951,2041,4047,2540,1321,4223,2469,
        3562,2228,1271,2602, 401,2833,3351,2575,5157, 907,2312,1256, 410, 263,3507,1582,
         996, 678,1849,2316,1480, 908,3545,2237, 703,2322, 667,1826,2849,1531,2604,2999,
        2407,3146,2151,2630,1786,3711, 469,3542, 497,3899,2409, 858, 837,4446,3393,1274,
         786, 620,1845,2001,3311, 484, 308,3367,1204,1815,3691,2332,1532,2557,1842,2020,
        2724,1927,2333,4440, 567,  22,1673,2728,4475,1987,1858,1144,1597, 101,1832,3601,
          12, 974,3783,4391, 951,1412,   1,3720, 453,4608,4041, 528,1041,1027,3230,2628,
        1129, 875,1051,3291,1203,2262,1069,2860,2799,2149,2615,3278, 144,1758,3040,  31,
         475,1680, 366,2685,3184, 311,1642,4008,2466,5036,1593,1493,2809, 216,1420,1668,
         233, 304,2128,3284, 232,1429,1768,1040,2008,3407,2740,2967,2543, 242,2133, 778,
        1565,2022,2620, 505,2189,2756,1098,2273, 372,1614, 708, 553,2846,2094,2278, 169,
        3626,2835,4161, 228,2674,3165, 809,1454,1309, 466,1705,1095, 900,3423, 880,2667,
        3751,5258,2317,3109,2571,4317,2766,1503,1342, 866,4447,1118,  63,2076, 314,1881,
        1348,1061, 172, 978,3515,1747, 532, 511,3970,   6, 601, 905,2699,3300,1751, 276,
        1467,3725,2668,  65,4239,2544,2779,2556,1604, 578,2451,1802, 992,2331,2624,1320,
        3446, 713,1513,1013, 103,2786,2447,1661, 886,1702, 916, 654,3574,2031,1556, 751,
        2178,2821,2179,1498,1538,2176, 271, 914,2251,2080,1325, 638,1953,2937,3877,2432,
        2754,  95,3265,1716, 260,1227,4083, 775, 106,1357,3254, 426,1607, 555,2480, 772,
        1985, 244,2546, 474, 495,1046,2611,1851,2061,  71,2089,1675,2590, 742,3758,2843,
        3222,1433, 267,2180,2576,2826,2233,2092,3913,2435, 956,1745,3075, 856,2113,1116,
         451,   3,1988,2896,1398, 993,2463,1878,2049,1341,2718,2721,2870,2108, 712,2904,
        4363,2753,2324, 277,2872,2349,2649, 384, 987, 435, 691,3000, 922, 164,3939, 652,
        1500,1184,4153,2482,3373,2165,4848,2335,3775,3508,3154,2806,2830,1554,2102,1664,
        2530,1434,2408, 893,1547,2623,3447,2832,2242,2532,3169,2856,3223,2078,  49,3770,
        3469, 462, 318, 656,2259,3250,3069, 679,1629,2758, 344,1138,1104,3120,1836,1283,
        3115,2154,1437,4448, 934, 759,1999, 794,2862,1038, 533,2560,1722,2342, 855,2626,
        1197,1663,4476,3127,  85,4240,2528,  25,1111,1181,3673, 407,3470,4561,2679,2713,
         768,1925,2841,3986,1544,1165, 932, 373,1240,2146,1930,2673, 721,4766, 354,4333,
         391,2963, 187,  61,3364,1442,1102, 330,1940,1767, 341,3809,4118, 393,2496,2062,
        2211, 105, 331, 300, 439, 913,1332, 626, 379,3304,1557, 328, 689,3952, 309,1555,
         931, 317,2517,3027, 325, 569, 686,2107,3084,  60,1042,1333,2794, 264,3177,4014,
        1628, 258,3712,   7,4464,1176,1043,1778, 683, 114,1975,  78,1492, 383,1886, 510,
         386, 645,5291,2891,2069,3305,4138,3867,2939,2603,2493,1935,1066,1848,3588,1015,
        1282,1289,4609, 697,1453,3044,2666,3611,1856,2412,  54, 719,1330, 568,3778,2459,
        1748, 788, 492, 551,1191,1000, 488,3394,3763, 282,1799, 348,2016,1523,3155,2390,
        1049, 382,2019,1788,1170, 729,2968,3523, 897,3926,2785,2938,3292, 350,2319,3238,
        1718,1717,2655,3453,3143,4465, 161,2889,2980,2009,1421,  56,1908,1640,2387,2232,
        1917,1874,2477,4921, 148,  83,3438, 592,4245,2882,1822,1055, 741, 115,1496,1624,
         381,1638,4592,1020, 516,3214, 458, 947,4575,1432, 211,1514,2926,1865,2142, 189,
         852,1221,1400,1486, 882,2299,4036, 351,  28,1122, 700,6479,6480,6481,6482,6483,  //last 512

        /*************************************************************************************** 
         *Everything below is of no interest for detection purpose							   *
         ***************************************************************************************

        5508,6484,3900,3414,3974,4441,4024,3537,4037,5628,5099,3633,6485,3148,6486,3636,
        5509,3257,5510,5973,5445,5872,4941,4403,3174,4627,5873,6276,2286,4230,5446,5874,
        5122,6102,6103,4162,5447,5123,5323,4849,6277,3980,3851,5066,4246,5774,5067,6278,
        3001,2807,5695,3346,5775,5974,5158,5448,6487,5975,5976,5776,3598,6279,5696,4806,
        4211,4154,6280,6488,6489,6490,6281,4212,5037,3374,4171,6491,4562,4807,4722,4827,
        5977,6104,4532,4079,5159,5324,5160,4404,3858,5359,5875,3975,4288,4610,3486,4512,
        5325,3893,5360,6282,6283,5560,2522,4231,5978,5186,5449,2569,3878,6284,5401,3578,
        4415,6285,4656,5124,5979,2506,4247,4449,3219,3417,4334,4969,4329,6492,4576,4828,
        4172,4416,4829,5402,6286,3927,3852,5361,4369,4830,4477,4867,5876,4173,6493,6105,
        4657,6287,6106,5877,5450,6494,4155,4868,5451,3700,5629,4384,6288,6289,5878,3189,
        4881,6107,6290,6495,4513,6496,4692,4515,4723,5100,3356,6497,6291,3810,4080,5561,
        3570,4430,5980,6498,4355,5697,6499,4724,6108,6109,3764,4050,5038,5879,4093,3226,
        6292,5068,5217,4693,3342,5630,3504,4831,4377,4466,4309,5698,4431,5777,6293,5778,
        4272,3706,6110,5326,3752,4676,5327,4273,5403,4767,5631,6500,5699,5880,3475,5039,
        6294,5562,5125,4348,4301,4482,4068,5126,4593,5700,3380,3462,5981,5563,3824,5404,
        4970,5511,3825,4738,6295,6501,5452,4516,6111,5881,5564,6502,6296,5982,6503,4213,
        4163,3454,6504,6112,4009,4450,6113,4658,6297,6114,3035,6505,6115,3995,4904,4739,
        4563,4942,4110,5040,3661,3928,5362,3674,6506,5292,3612,4791,5565,4149,5983,5328,
        5259,5021,4725,4577,4564,4517,4364,6298,5405,4578,5260,4594,4156,4157,5453,3592,
        3491,6507,5127,5512,4709,4922,5984,5701,4726,4289,6508,4015,6116,5128,4628,3424,
        4241,5779,6299,4905,6509,6510,5454,5702,5780,6300,4365,4923,3971,6511,5161,3270,
        3158,5985,4100, 867,5129,5703,6117,5363,3695,3301,5513,4467,6118,6512,5455,4232,
        4242,4629,6513,3959,4478,6514,5514,5329,5986,4850,5162,5566,3846,4694,6119,5456,
        4869,5781,3779,6301,5704,5987,5515,4710,6302,5882,6120,4392,5364,5705,6515,6121,
        6516,6517,3736,5988,5457,5989,4695,2457,5883,4551,5782,6303,6304,6305,5130,4971,
        6122,5163,6123,4870,3263,5365,3150,4871,6518,6306,5783,5069,5706,3513,3498,4409,
        5330,5632,5366,5458,5459,3991,5990,4502,3324,5991,5784,3696,4518,5633,4119,6519,
        4630,5634,4417,5707,4832,5992,3418,6124,5993,5567,4768,5218,6520,4595,3458,5367,
        6125,5635,6126,4202,6521,4740,4924,6307,3981,4069,4385,6308,3883,2675,4051,3834,
        4302,4483,5568,5994,4972,4101,5368,6309,5164,5884,3922,6127,6522,6523,5261,5460,
        5187,4164,5219,3538,5516,4111,3524,5995,6310,6311,5369,3181,3386,2484,5188,3464,
        5569,3627,5708,6524,5406,5165,4677,4492,6312,4872,4851,5885,4468,5996,6313,5709,
        5710,6128,2470,5886,6314,5293,4882,5785,3325,5461,5101,6129,5711,5786,6525,4906,
        6526,6527,4418,5887,5712,4808,2907,3701,5713,5888,6528,3765,5636,5331,6529,6530,
        3593,5889,3637,4943,3692,5714,5787,4925,6315,6130,5462,4405,6131,6132,6316,5262,
        6531,6532,5715,3859,5716,5070,4696,5102,3929,5788,3987,4792,5997,6533,6534,3920,
        4809,5000,5998,6535,2974,5370,6317,5189,5263,5717,3826,6536,3953,5001,4883,3190,
        5463,5890,4973,5999,4741,6133,6134,3607,5570,6000,4711,3362,3630,4552,5041,6318,
        6001,2950,2953,5637,4646,5371,4944,6002,2044,4120,3429,6319,6537,5103,4833,6538,
        6539,4884,4647,3884,6003,6004,4758,3835,5220,5789,4565,5407,6540,6135,5294,4697,
        4852,6320,6321,3206,4907,6541,6322,4945,6542,6136,6543,6323,6005,4631,3519,6544,
        5891,6545,5464,3784,5221,6546,5571,4659,6547,6324,6137,5190,6548,3853,6549,4016,
        4834,3954,6138,5332,3827,4017,3210,3546,4469,5408,5718,3505,4648,5790,5131,5638,
        5791,5465,4727,4318,6325,6326,5792,4553,4010,4698,3439,4974,3638,4335,3085,6006,
        5104,5042,5166,5892,5572,6327,4356,4519,5222,5573,5333,5793,5043,6550,5639,5071,
        4503,6328,6139,6551,6140,3914,3901,5372,6007,5640,4728,4793,3976,3836,4885,6552,
        4127,6553,4451,4102,5002,6554,3686,5105,6555,5191,5072,5295,4611,5794,5296,6556,
        5893,5264,5894,4975,5466,5265,4699,4976,4370,4056,3492,5044,4886,6557,5795,4432,
        4769,4357,5467,3940,4660,4290,6141,4484,4770,4661,3992,6329,4025,4662,5022,4632,
        4835,4070,5297,4663,4596,5574,5132,5409,5895,6142,4504,5192,4664,5796,5896,3885,
        5575,5797,5023,4810,5798,3732,5223,4712,5298,4084,5334,5468,6143,4052,4053,4336,
        4977,4794,6558,5335,4908,5576,5224,4233,5024,4128,5469,5225,4873,6008,5045,4729,
        4742,4633,3675,4597,6559,5897,5133,5577,5003,5641,5719,6330,6560,3017,2382,3854,
        4406,4811,6331,4393,3964,4946,6561,2420,3722,6562,4926,4378,3247,1736,4442,6332,
        5134,6333,5226,3996,2918,5470,4319,4003,4598,4743,4744,4485,3785,3902,5167,5004,
        5373,4394,5898,6144,4874,1793,3997,6334,4085,4214,5106,5642,4909,5799,6009,4419,
        4189,3330,5899,4165,4420,5299,5720,5227,3347,6145,4081,6335,2876,3930,6146,3293,
        3786,3910,3998,5900,5300,5578,2840,6563,5901,5579,6147,3531,5374,6564,6565,5580,
        4759,5375,6566,6148,3559,5643,6336,6010,5517,6337,6338,5721,5902,3873,6011,6339,
        6567,5518,3868,3649,5722,6568,4771,4947,6569,6149,4812,6570,2853,5471,6340,6341,
        5644,4795,6342,6012,5723,6343,5724,6013,4349,6344,3160,6150,5193,4599,4514,4493,
        5168,4320,6345,4927,3666,4745,5169,5903,5005,4928,6346,5725,6014,4730,4203,5046,
        4948,3395,5170,6015,4150,6016,5726,5519,6347,5047,3550,6151,6348,4197,4310,5904,
        6571,5581,2965,6152,4978,3960,4291,5135,6572,5301,5727,4129,4026,5905,4853,5728,
        5472,6153,6349,4533,2700,4505,5336,4678,3583,5073,2994,4486,3043,4554,5520,6350,
        6017,5800,4487,6351,3931,4103,5376,6352,4011,4321,4311,4190,5136,6018,3988,3233,
        4350,5906,5645,4198,6573,5107,3432,4191,3435,5582,6574,4139,5410,6353,5411,3944,
        5583,5074,3198,6575,6354,4358,6576,5302,4600,5584,5194,5412,6577,6578,5585,5413,
        5303,4248,5414,3879,4433,6579,4479,5025,4854,5415,6355,4760,4772,3683,2978,4700,
        3797,4452,3965,3932,3721,4910,5801,6580,5195,3551,5907,3221,3471,3029,6019,3999,
        5908,5909,5266,5267,3444,3023,3828,3170,4796,5646,4979,4259,6356,5647,5337,3694,
        6357,5648,5338,4520,4322,5802,3031,3759,4071,6020,5586,4836,4386,5048,6581,3571,
        4679,4174,4949,6154,4813,3787,3402,3822,3958,3215,3552,5268,4387,3933,4950,4359,
        6021,5910,5075,3579,6358,4234,4566,5521,6359,3613,5049,6022,5911,3375,3702,3178,
        4911,5339,4521,6582,6583,4395,3087,3811,5377,6023,6360,6155,4027,5171,5649,4421,
        4249,2804,6584,2270,6585,4000,4235,3045,6156,5137,5729,4140,4312,3886,6361,4330,
        6157,4215,6158,3500,3676,4929,4331,3713,4930,5912,4265,3776,3368,5587,4470,4855,
        3038,4980,3631,6159,6160,4132,4680,6161,6362,3923,4379,5588,4255,6586,4121,6587,
        6363,4649,6364,3288,4773,4774,6162,6024,6365,3543,6588,4274,3107,3737,5050,5803,
        4797,4522,5589,5051,5730,3714,4887,5378,4001,4523,6163,5026,5522,4701,4175,2791,
        3760,6589,5473,4224,4133,3847,4814,4815,4775,3259,5416,6590,2738,6164,6025,5304,
        3733,5076,5650,4816,5590,6591,6165,6592,3934,5269,6593,3396,5340,6594,5804,3445,
        3602,4042,4488,5731,5732,3525,5591,4601,5196,6166,6026,5172,3642,4612,3202,4506,
        4798,6366,3818,5108,4303,5138,5139,4776,3332,4304,2915,3415,4434,5077,5109,4856,
        2879,5305,4817,6595,5913,3104,3144,3903,4634,5341,3133,5110,5651,5805,6167,4057,
        5592,2945,4371,5593,6596,3474,4182,6367,6597,6168,4507,4279,6598,2822,6599,4777,
        4713,5594,3829,6169,3887,5417,6170,3653,5474,6368,4216,2971,5228,3790,4579,6369,
        5733,6600,6601,4951,4746,4555,6602,5418,5475,6027,3400,4665,5806,6171,4799,6028,
        5052,6172,3343,4800,4747,5006,6370,4556,4217,5476,4396,5229,5379,5477,3839,5914,
        5652,5807,4714,3068,4635,5808,6173,5342,4192,5078,5419,5523,5734,6174,4557,6175,
        4602,6371,6176,6603,5809,6372,5735,4260,3869,5111,5230,6029,5112,6177,3126,4681,
        5524,5915,2706,3563,4748,3130,6178,4018,5525,6604,6605,5478,4012,4837,6606,4534,
        4193,5810,4857,3615,5479,6030,4082,3697,3539,4086,5270,3662,4508,4931,5916,4912,
        5811,5027,3888,6607,4397,3527,3302,3798,2775,2921,2637,3966,4122,4388,4028,4054,
        1633,4858,5079,3024,5007,3982,3412,5736,6608,3426,3236,5595,3030,6179,3427,3336,
        3279,3110,6373,3874,3039,5080,5917,5140,4489,3119,6374,5812,3405,4494,6031,4666,
        4141,6180,4166,6032,5813,4981,6609,5081,4422,4982,4112,3915,5653,3296,3983,6375,
        4266,4410,5654,6610,6181,3436,5082,6611,5380,6033,3819,5596,4535,5231,5306,5113,
        6612,4952,5918,4275,3113,6613,6376,6182,6183,5814,3073,4731,4838,5008,3831,6614,
        4888,3090,3848,4280,5526,5232,3014,5655,5009,5737,5420,5527,6615,5815,5343,5173,
        5381,4818,6616,3151,4953,6617,5738,2796,3204,4360,2989,4281,5739,5174,5421,5197,
        3132,5141,3849,5142,5528,5083,3799,3904,4839,5480,2880,4495,3448,6377,6184,5271,
        5919,3771,3193,6034,6035,5920,5010,6036,5597,6037,6378,6038,3106,5422,6618,5423,
        5424,4142,6619,4889,5084,4890,4313,5740,6620,3437,5175,5307,5816,4199,5198,5529,
        5817,5199,5656,4913,5028,5344,3850,6185,2955,5272,5011,5818,4567,4580,5029,5921,
        3616,5233,6621,6622,6186,4176,6039,6379,6380,3352,5200,5273,2908,5598,5234,3837,
        5308,6623,6624,5819,4496,4323,5309,5201,6625,6626,4983,3194,3838,4167,5530,5922,
        5274,6381,6382,3860,3861,5599,3333,4292,4509,6383,3553,5481,5820,5531,4778,6187,
        3955,3956,4324,4389,4218,3945,4325,3397,2681,5923,4779,5085,4019,5482,4891,5382,
        5383,6040,4682,3425,5275,4094,6627,5310,3015,5483,5657,4398,5924,3168,4819,6628,
        5925,6629,5532,4932,4613,6041,6630,4636,6384,4780,4204,5658,4423,5821,3989,4683,
        5822,6385,4954,6631,5345,6188,5425,5012,5384,3894,6386,4490,4104,6632,5741,5053,
        6633,5823,5926,5659,5660,5927,6634,5235,5742,5824,4840,4933,4820,6387,4859,5928,
        4955,6388,4143,3584,5825,5346,5013,6635,5661,6389,5014,5484,5743,4337,5176,5662,
        6390,2836,6391,3268,6392,6636,6042,5236,6637,4158,6638,5744,5663,4471,5347,3663,
        4123,5143,4293,3895,6639,6640,5311,5929,5826,3800,6189,6393,6190,5664,5348,3554,
        3594,4749,4603,6641,5385,4801,6043,5827,4183,6642,5312,5426,4761,6394,5665,6191,
        4715,2669,6643,6644,5533,3185,5427,5086,5930,5931,5386,6192,6044,6645,4781,4013,
        5745,4282,4435,5534,4390,4267,6045,5746,4984,6046,2743,6193,3501,4087,5485,5932,
        5428,4184,4095,5747,4061,5054,3058,3862,5933,5600,6646,5144,3618,6395,3131,5055,
        5313,6396,4650,4956,3855,6194,3896,5202,4985,4029,4225,6195,6647,5828,5486,5829,
        3589,3002,6648,6397,4782,5276,6649,6196,6650,4105,3803,4043,5237,5830,6398,4096,
        3643,6399,3528,6651,4453,3315,4637,6652,3984,6197,5535,3182,3339,6653,3096,2660,
        6400,6654,3449,5934,4250,4236,6047,6401,5831,6655,5487,3753,4062,5832,6198,6199,
        6656,3766,6657,3403,4667,6048,6658,4338,2897,5833,3880,2797,3780,4326,6659,5748,
        5015,6660,5387,4351,5601,4411,6661,3654,4424,5935,4339,4072,5277,4568,5536,6402,
        6662,5238,6663,5349,5203,6200,5204,6201,5145,4536,5016,5056,4762,5834,4399,4957,
        6202,6403,5666,5749,6664,4340,6665,5936,5177,5667,6666,6667,3459,4668,6404,6668,
        6669,4543,6203,6670,4276,6405,4480,5537,6671,4614,5205,5668,6672,3348,2193,4763,
        6406,6204,5937,5602,4177,5669,3419,6673,4020,6205,4443,4569,5388,3715,3639,6407,
        6049,4058,6206,6674,5938,4544,6050,4185,4294,4841,4651,4615,5488,6207,6408,6051,
        5178,3241,3509,5835,6208,4958,5836,4341,5489,5278,6209,2823,5538,5350,5206,5429,
        6675,4638,4875,4073,3516,4684,4914,4860,5939,5603,5389,6052,5057,3237,5490,3791,
        6676,6409,6677,4821,4915,4106,5351,5058,4243,5539,4244,5604,4842,4916,5239,3028,
        3716,5837,5114,5605,5390,5940,5430,6210,4332,6678,5540,4732,3667,3840,6053,4305,
        3408,5670,5541,6410,2744,5240,5750,6679,3234,5606,6680,5607,5671,3608,4283,4159,
        4400,5352,4783,6681,6411,6682,4491,4802,6211,6412,5941,6413,6414,5542,5751,6683,
        4669,3734,5942,6684,6415,5943,5059,3328,4670,4144,4268,6685,6686,6687,6688,4372,
        3603,6689,5944,5491,4373,3440,6416,5543,4784,4822,5608,3792,4616,5838,5672,3514,
        5391,6417,4892,6690,4639,6691,6054,5673,5839,6055,6692,6056,5392,6212,4038,5544,
        5674,4497,6057,6693,5840,4284,5675,4021,4545,5609,6418,4454,6419,6213,4113,4472,
        5314,3738,5087,5279,4074,5610,4959,4063,3179,4750,6058,6420,6214,3476,4498,4716,
        5431,4960,4685,6215,5241,6694,6421,6216,6695,5841,5945,6422,3748,5946,5179,3905,
        5752,5545,5947,4374,6217,4455,6423,4412,6218,4803,5353,6696,3832,5280,6219,4327,
        4702,6220,6221,6059,4652,5432,6424,3749,4751,6425,5753,4986,5393,4917,5948,5030,
        5754,4861,4733,6426,4703,6697,6222,4671,5949,4546,4961,5180,6223,5031,3316,5281,
        6698,4862,4295,4934,5207,3644,6427,5842,5950,6428,6429,4570,5843,5282,6430,6224,
        5088,3239,6060,6699,5844,5755,6061,6431,2701,5546,6432,5115,5676,4039,3993,3327,
        4752,4425,5315,6433,3941,6434,5677,4617,4604,3074,4581,6225,5433,6435,6226,6062,
        4823,5756,5116,6227,3717,5678,4717,5845,6436,5679,5846,6063,5847,6064,3977,3354,
        6437,3863,5117,6228,5547,5394,4499,4524,6229,4605,6230,4306,4500,6700,5951,6065,
        3693,5952,5089,4366,4918,6701,6231,5548,6232,6702,6438,4704,5434,6703,6704,5953,
        4168,6705,5680,3420,6706,5242,4407,6066,3812,5757,5090,5954,4672,4525,3481,5681,
        4618,5395,5354,5316,5955,6439,4962,6707,4526,6440,3465,4673,6067,6441,5682,6708,
        5435,5492,5758,5683,4619,4571,4674,4804,4893,4686,5493,4753,6233,6068,4269,6442,
        6234,5032,4705,5146,5243,5208,5848,6235,6443,4963,5033,4640,4226,6236,5849,3387,
        6444,6445,4436,4437,5850,4843,5494,4785,4894,6709,4361,6710,5091,5956,3331,6237,
        4987,5549,6069,6711,4342,3517,4473,5317,6070,6712,6071,4706,6446,5017,5355,6713,
        6714,4988,5436,6447,4734,5759,6715,4735,4547,4456,4754,6448,5851,6449,6450,3547,
        5852,5318,6451,6452,5092,4205,6716,6238,4620,4219,5611,6239,6072,4481,5760,5957,
        5958,4059,6240,6453,4227,4537,6241,5761,4030,4186,5244,5209,3761,4457,4876,3337,
        5495,5181,6242,5959,5319,5612,5684,5853,3493,5854,6073,4169,5613,5147,4895,6074,
        5210,6717,5182,6718,3830,6243,2798,3841,6075,6244,5855,5614,3604,4606,5496,5685,
        5118,5356,6719,6454,5960,5357,5961,6720,4145,3935,4621,5119,5962,4261,6721,6455,
        4786,5963,4375,4582,6245,6246,6247,6076,5437,4877,5856,3376,4380,6248,4160,6722,
        5148,6456,5211,6457,6723,4718,6458,6724,6249,5358,4044,3297,6459,6250,5857,5615,
        5497,5245,6460,5498,6725,6251,6252,5550,3793,5499,2959,5396,6461,6462,4572,5093,
        5500,5964,3806,4146,6463,4426,5762,5858,6077,6253,4755,3967,4220,5965,6254,4989,
        5501,6464,4352,6726,6078,4764,2290,5246,3906,5438,5283,3767,4964,2861,5763,5094,
        6255,6256,4622,5616,5859,5860,4707,6727,4285,4708,4824,5617,6257,5551,4787,5212,
        4965,4935,4687,6465,6728,6466,5686,6079,3494,4413,2995,5247,5966,5618,6729,5967,
        5764,5765,5687,5502,6730,6731,6080,5397,6467,4990,6258,6732,4538,5060,5619,6733,
        4719,5688,5439,5018,5149,5284,5503,6734,6081,4607,6259,5120,3645,5861,4583,6260,
        4584,4675,5620,4098,5440,6261,4863,2379,3306,4585,5552,5689,4586,5285,6735,4864,
        6736,5286,6082,6737,4623,3010,4788,4381,4558,5621,4587,4896,3698,3161,5248,4353,
        4045,6262,3754,5183,4588,6738,6263,6739,6740,5622,3936,6741,6468,6742,6264,5095,
        6469,4991,5968,6743,4992,6744,6083,4897,6745,4256,5766,4307,3108,3968,4444,5287,
        3889,4343,6084,4510,6085,4559,6086,4898,5969,6746,5623,5061,4919,5249,5250,5504,
        5441,6265,5320,4878,3242,5862,5251,3428,6087,6747,4237,5624,5442,6266,5553,4539,
        6748,2585,3533,5398,4262,6088,5150,4736,4438,6089,6267,5505,4966,6749,6268,6750,
        6269,5288,5554,3650,6090,6091,4624,6092,5690,6751,5863,4270,5691,4277,5555,5864,
        6752,5692,4720,4865,6470,5151,4688,4825,6753,3094,6754,6471,3235,4653,6755,5213,
        5399,6756,3201,4589,5865,4967,6472,5866,6473,5019,3016,6757,5321,4756,3957,4573,
        6093,4993,5767,4721,6474,6758,5625,6759,4458,6475,6270,6760,5556,4994,5214,5252,
        6271,3875,5768,6094,5034,5506,4376,5769,6761,2120,6476,5253,5770,6762,5771,5970,
        3990,5971,5557,5558,5772,6477,6095,2787,4641,5972,5121,6096,6097,6272,6763,3703,
        5867,5507,6273,4206,6274,4789,6098,6764,3619,3646,3833,3804,2394,3788,4936,3978,
        4866,4899,6099,6100,5559,6478,6765,3599,5868,6101,5869,5870,6275,6766,4527,6767,
        *******************************************************************************/
        };

        public GB18030DistributionAnalyser() : base()
        {
            charToFreqOrder = GB2312_CHAR2FREQ_ORDER;
            tableSize = GB2312_TABLE_SIZE;
            typicalDistributionRatio = GB2312_TYPICAL_DISTRIBUTION_RATIO;
        }
        
        /// <summary>
        /// for GB2312 encoding, we are interested
        ///   first  byte range: 0xb0 -- 0xfe
        ///   second byte range: 0xa1 -- 0xfe
        /// no validation needed here. State machine has done that
        /// </summary>
        /// <returns></returns>
        public override int GetOrder(byte[] buf, int offset) 
        { 
            if (buf[offset] >= 0xB0 && buf[offset+1] >= 0xA1)  
                return 94 * (buf[offset] - 0xb0) + buf[offset+1] - 0xA1;
            else
                return -1;
        }
    }
    
    public class EUCTWDistributionAnalyser : CharDistributionAnalyser
    {
        // EUCTW frequency table
        // Converted from big5 work 
        // by Taiwan's Mandarin Promotion Council 
        // <http://www.edu.tw:81/mandr/>
        /******************************************************************************
         * 128  --> 0.42261
         * 256  --> 0.57851
         * 512  --> 0.74851
         * 1024 --> 0.89384
         * 2048 --> 0.97583
         *
         * Idea Distribution Ratio = 0.74851/(1-0.74851) =2.98
         * Random Distribution Ration = 512/(5401-512)=0.105
         * 
         * Typical Distribution Ratio about 25% of Ideal one, still much higher than RDR
         *****************************************************************************/

        private static float EUCTW_TYPICAL_DISTRIBUTION_RATIO = 0.75f;

        private static int EUCTW_TABLE_SIZE = 8102;

        private static int[] EUCTW_CHAR2FREQ_ORDER = {
           1,1800,1506, 255,1431, 198,   9,  82,   6,7310, 177, 202,3615,1256,2808, 110, // 2742
        3735,  33,3241, 261,  76,  44,2113,  16,2931,2184,1176, 659,3868,  26,3404,2643, // 2758
        1198,3869,3313,4060, 410,2211, 302, 590, 361,1963,   8, 204,  58,4296,7311,1931, // 2774
          63,7312,7313, 317,1614,  75, 222, 159,4061,2412,1480,7314,3500,3068, 224,2809, // 2790
        3616,   3,  10,3870,1471,  29,2774,1135,2852,1939, 873, 130,3242,1123, 312,7315, // 2806
        4297,2051, 507, 252, 682,7316, 142,1914, 124, 206,2932,  34,3501,3173,  64, 604, // 2822
        7317,2494,1976,1977, 155,1990, 645, 641,1606,7318,3405, 337,  72, 406,7319,  80, // 2838
         630, 238,3174,1509, 263, 939,1092,2644, 756,1440,1094,3406, 449,  69,2969, 591, // 2854
         179,2095, 471, 115,2034,1843,  60,  50,2970, 134, 806,1868, 734,2035,3407, 180, // 2870
         995,1607, 156, 537,2893, 688,7320, 319,1305, 779,2144, 514,2374, 298,4298, 359, // 2886
        2495,  90,2707,1338, 663,  11, 906,1099,2545,  20,2436, 182, 532,1716,7321, 732, // 2902
        1376,4062,1311,1420,3175,  25,2312,1056, 113, 399, 382,1949, 242,3408,2467, 529, // 2918
        3243, 475,1447,3617,7322, 117,  21, 656, 810,1297,2295,2329,3502,7323, 126,4063, // 2934
         706, 456, 150, 613,4299,  71,1118,2036,4064, 145,3069,  85, 835, 486,2114,1246, // 2950
        1426, 428, 727,1285,1015, 800, 106, 623, 303,1281,7324,2127,2354, 347,3736, 221, // 2966
        3503,3110,7325,1955,1153,4065,  83, 296,1199,3070, 192, 624,  93,7326, 822,1897, // 2982
        2810,3111, 795,2064, 991,1554,1542,1592,  27,  43,2853, 859, 139,1456, 860,4300, // 2998
         437, 712,3871, 164,2392,3112, 695, 211,3017,2096, 195,3872,1608,3504,3505,3618, // 3014
        3873, 234, 811,2971,2097,3874,2229,1441,3506,1615,2375, 668,2076,1638, 305, 228, // 3030
        1664,4301, 467, 415,7327, 262,2098,1593, 239, 108, 300, 200,1033, 512,1247,2077, // 3046
        7328,7329,2173,3176,3619,2673, 593, 845,1062,3244,  88,1723,2037,3875,1950, 212, // 3062
         266, 152, 149, 468,1898,4066,4302,  77, 187,7330,3018,  37,   5,2972,7331,3876, // 3078
        7332,7333,  39,2517,4303,2894,3177,2078,  55, 148,  74,4304, 545, 483,1474,1029, // 3094
        1665, 217,1869,1531,3113,1104,2645,4067,  24, 172,3507, 900,3877,3508,3509,4305, // 3110
          32,1408,2811,1312, 329, 487,2355,2247,2708, 784,2674,   4,3019,3314,1427,1788, // 3126
         188, 109, 499,7334,3620,1717,1789, 888,1217,3020,4306,7335,3510,7336,3315,1520, // 3142
        3621,3878, 196,1034, 775,7337,7338, 929,1815, 249, 439,  38,7339,1063,7340, 794, // 3158
        3879,1435,2296,  46, 178,3245,2065,7341,2376,7342, 214,1709,4307, 804,  35, 707, // 3174
         324,3622,1601,2546, 140, 459,4068,7343,7344,1365, 839, 272, 978,2257,2572,3409, // 3190
        2128,1363,3623,1423, 697, 100,3071,  48,  70,1231, 495,3114,2193,7345,1294,7346, // 3206
        2079, 462, 586,1042,3246, 853, 256, 988, 185,2377,3410,1698, 434,1084,7347,3411, // 3222
         314,2615,2775,4308,2330,2331, 569,2280, 637,1816,2518, 757,1162,1878,1616,3412, // 3238
         287,1577,2115, 768,4309,1671,2854,3511,2519,1321,3737, 909,2413,7348,4069, 933, // 3254
        3738,7349,2052,2356,1222,4310, 765,2414,1322, 786,4311,7350,1919,1462,1677,2895, // 3270
        1699,7351,4312,1424,2437,3115,3624,2590,3316,1774,1940,3413,3880,4070, 309,1369, // 3286
        1130,2812, 364,2230,1653,1299,3881,3512,3882,3883,2646, 525,1085,3021, 902,2000, // 3302
        1475, 964,4313, 421,1844,1415,1057,2281, 940,1364,3116, 376,4314,4315,1381,   7, // 3318
        2520, 983,2378, 336,1710,2675,1845, 321,3414, 559,1131,3022,2742,1808,1132,1313, // 3334
         265,1481,1857,7352, 352,1203,2813,3247, 167,1089, 420,2814, 776, 792,1724,3513, // 3350
        4071,2438,3248,7353,4072,7354, 446, 229, 333,2743, 901,3739,1200,1557,4316,2647, // 3366
        1920, 395,2744,2676,3740,4073,1835, 125, 916,3178,2616,4317,7355,7356,3741,7357, // 3382
        7358,7359,4318,3117,3625,1133,2547,1757,3415,1510,2313,1409,3514,7360,2145, 438, // 3398
        2591,2896,2379,3317,1068, 958,3023, 461, 311,2855,2677,4074,1915,3179,4075,1978, // 3414
         383, 750,2745,2617,4076, 274, 539, 385,1278,1442,7361,1154,1964, 384, 561, 210, // 3430
          98,1295,2548,3515,7362,1711,2415,1482,3416,3884,2897,1257, 129,7363,3742, 642, // 3446
         523,2776,2777,2648,7364, 141,2231,1333,  68, 176, 441, 876, 907,4077, 603,2592, // 3462
         710, 171,3417, 404, 549,  18,3118,2393,1410,3626,1666,7365,3516,4319,2898,4320, // 3478
        7366,2973, 368,7367, 146, 366,  99, 871,3627,1543, 748, 807,1586,1185,  22,2258, // 3494
         379,3743,3180,7368,3181, 505,1941,2618,1991,1382,2314,7369, 380,2357, 218, 702, // 3510
        1817,1248,3418,3024,3517,3318,3249,7370,2974,3628, 930,3250,3744,7371,  59,7372, // 3526
         585, 601,4078, 497,3419,1112,1314,4321,1801,7373,1223,1472,2174,7374, 749,1836, // 3542
         690,1899,3745,1772,3885,1476, 429,1043,1790,2232,2116, 917,4079, 447,1086,1629, // 3558
        7375, 556,7376,7377,2020,1654, 844,1090, 105, 550, 966,1758,2815,1008,1782, 686, // 3574
        1095,7378,2282, 793,1602,7379,3518,2593,4322,4080,2933,2297,4323,3746, 980,2496, // 3590
         544, 353, 527,4324, 908,2678,2899,7380, 381,2619,1942,1348,7381,1341,1252, 560, // 3606
        3072,7382,3420,2856,7383,2053, 973, 886,2080, 143,4325,7384,7385, 157,3886, 496, // 3622
        4081,  57, 840, 540,2038,4326,4327,3421,2117,1445, 970,2259,1748,1965,2081,4082, // 3638
        3119,1234,1775,3251,2816,3629, 773,1206,2129,1066,2039,1326,3887,1738,1725,4083, // 3654
         279,3120,  51,1544,2594, 423,1578,2130,2066, 173,4328,1879,7386,7387,1583, 264, // 3670
         610,3630,4329,2439, 280, 154,7388,7389,7390,1739, 338,1282,3073, 693,2857,1411, // 3686
        1074,3747,2440,7391,4330,7392,7393,1240, 952,2394,7394,2900,1538,2679, 685,1483, // 3702
        4084,2468,1436, 953,4085,2054,4331, 671,2395,  79,4086,2441,3252, 608, 567,2680, // 3718
        3422,4087,4088,1691, 393,1261,1791,2396,7395,4332,7396,7397,7398,7399,1383,1672, // 3734
        3748,3182,1464, 522,1119, 661,1150, 216, 675,4333,3888,1432,3519, 609,4334,2681, // 3750
        2397,7400,7401,7402,4089,3025,   0,7403,2469, 315, 231,2442, 301,3319,4335,2380, // 3766
        7404, 233,4090,3631,1818,4336,4337,7405,  96,1776,1315,2082,7406, 257,7407,1809, // 3782
        3632,2709,1139,1819,4091,2021,1124,2163,2778,1777,2649,7408,3074, 363,1655,3183, // 3798
        7409,2975,7410,7411,7412,3889,1567,3890, 718, 103,3184, 849,1443, 341,3320,2934, // 3814
        1484,7413,1712, 127,  67, 339,4092,2398, 679,1412, 821,7414,7415, 834, 738, 351, // 3830
        2976,2146, 846, 235,1497,1880, 418,1992,3749,2710, 186,1100,2147,2746,3520,1545, // 3846
        1355,2935,2858,1377, 583,3891,4093,2573,2977,7416,1298,3633,1078,2549,3634,2358, // 3862
          78,3750,3751, 267,1289,2099,2001,1594,4094, 348, 369,1274,2194,2175,1837,4338, // 3878
        1820,2817,3635,2747,2283,2002,4339,2936,2748, 144,3321, 882,4340,3892,2749,3423, // 3894
        4341,2901,7417,4095,1726, 320,7418,3893,3026, 788,2978,7419,2818,1773,1327,2859, // 3910
        3894,2819,7420,1306,4342,2003,1700,3752,3521,2359,2650, 787,2022, 506, 824,3636, // 3926
         534, 323,4343,1044,3322,2023,1900, 946,3424,7421,1778,1500,1678,7422,1881,4344, // 3942
         165, 243,4345,3637,2521, 123, 683,4096, 764,4346,  36,3895,1792, 589,2902, 816, // 3958
         626,1667,3027,2233,1639,1555,1622,3753,3896,7423,3897,2860,1370,1228,1932, 891, // 3974
        2083,2903, 304,4097,7424, 292,2979,2711,3522, 691,2100,4098,1115,4347, 118, 662, // 3990
        7425, 611,1156, 854,2381,1316,2861,   2, 386, 515,2904,7426,7427,3253, 868,2234, // 4006
        1486, 855,2651, 785,2212,3028,7428,1040,3185,3523,7429,3121, 448,7430,1525,7431, // 4022
        2164,4348,7432,3754,7433,4099,2820,3524,3122, 503, 818,3898,3123,1568, 814, 676, // 4038
        1444, 306,1749,7434,3755,1416,1030, 197,1428, 805,2821,1501,4349,7435,7436,7437, // 4054
        1993,7438,4350,7439,7440,2195,  13,2779,3638,2980,3124,1229,1916,7441,3756,2131, // 4070
        7442,4100,4351,2399,3525,7443,2213,1511,1727,1120,7444,7445, 646,3757,2443, 307, // 4086
        7446,7447,1595,3186,7448,7449,7450,3639,1113,1356,3899,1465,2522,2523,7451, 519, // 4102
        7452, 128,2132,  92,2284,1979,7453,3900,1512, 342,3125,2196,7454,2780,2214,1980, // 4118
        3323,7455, 290,1656,1317, 789, 827,2360,7456,3758,4352, 562, 581,3901,7457, 401, // 4134
        4353,2248,  94,4354,1399,2781,7458,1463,2024,4355,3187,1943,7459, 828,1105,4101, // 4150
        1262,1394,7460,4102, 605,4356,7461,1783,2862,7462,2822, 819,2101, 578,2197,2937, // 4166
        7463,1502, 436,3254,4103,3255,2823,3902,2905,3425,3426,7464,2712,2315,7465,7466, // 4182
        2332,2067,  23,4357, 193, 826,3759,2102, 699,1630,4104,3075, 390,1793,1064,3526, // 4198
        7467,1579,3076,3077,1400,7468,4105,1838,1640,2863,7469,4358,4359, 137,4106, 598, // 4214
        3078,1966, 780, 104, 974,2938,7470, 278, 899, 253, 402, 572, 504, 493,1339,7471, // 4230
        3903,1275,4360,2574,2550,7472,3640,3029,3079,2249, 565,1334,2713, 863,  41,7473, // 4246
        7474,4361,7475,1657,2333,  19, 463,2750,4107, 606,7476,2981,3256,1087,2084,1323, // 4262
        2652,2982,7477,1631,1623,1750,4108,2682,7478,2864, 791,2714,2653,2334, 232,2416, // 4278
        7479,2983,1498,7480,2654,2620, 755,1366,3641,3257,3126,2025,1609, 119,1917,3427, // 4294
         862,1026,4109,7481,3904,3760,4362,3905,4363,2260,1951,2470,7482,1125, 817,4110, // 4310
        4111,3906,1513,1766,2040,1487,4112,3030,3258,2824,3761,3127,7483,7484,1507,7485, // 4326
        2683, 733,  40,1632,1106,2865, 345,4113, 841,2524, 230,4364,2984,1846,3259,3428, // 4342
        7486,1263, 986,3429,7487, 735, 879, 254,1137, 857, 622,1300,1180,1388,1562,3907, // 4358
        3908,2939, 967,2751,2655,1349, 592,2133,1692,3324,2985,1994,4114,1679,3909,1901, // 4374
        2185,7488, 739,3642,2715,1296,1290,7489,4115,2198,2199,1921,1563,2595,2551,1870, // 4390
        2752,2986,7490, 435,7491, 343,1108, 596,  17,1751,4365,2235,3430,3643,7492,4366, // 4406
         294,3527,2940,1693, 477, 979, 281,2041,3528, 643,2042,3644,2621,2782,2261,1031, // 4422
        2335,2134,2298,3529,4367, 367,1249,2552,7493,3530,7494,4368,1283,3325,2004, 240, // 4438
        1762,3326,4369,4370, 836,1069,3128, 474,7495,2148,2525, 268,3531,7496,3188,1521, // 4454
        1284,7497,1658,1546,4116,7498,3532,3533,7499,4117,3327,2684,1685,4118, 961,1673, // 4470
        2622, 190,2005,2200,3762,4371,4372,7500, 570,2497,3645,1490,7501,4373,2623,3260, // 4486
        1956,4374, 584,1514, 396,1045,1944,7502,4375,1967,2444,7503,7504,4376,3910, 619, // 4502
        7505,3129,3261, 215,2006,2783,2553,3189,4377,3190,4378, 763,4119,3763,4379,7506, // 4518
        7507,1957,1767,2941,3328,3646,1174, 452,1477,4380,3329,3130,7508,2825,1253,2382, // 4534
        2186,1091,2285,4120, 492,7509, 638,1169,1824,2135,1752,3911, 648, 926,1021,1324, // 4550
        4381, 520,4382, 997, 847,1007, 892,4383,3764,2262,1871,3647,7510,2400,1784,4384, // 4566
        1952,2942,3080,3191,1728,4121,2043,3648,4385,2007,1701,3131,1551,  30,2263,4122, // 4582
        7511,2026,4386,3534,7512, 501,7513,4123, 594,3431,2165,1821,3535,3432,3536,3192, // 4598
         829,2826,4124,7514,1680,3132,1225,4125,7515,3262,4387,4126,3133,2336,7516,4388, // 4614
        4127,7517,3912,3913,7518,1847,2383,2596,3330,7519,4389, 374,3914, 652,4128,4129, // 4630
         375,1140, 798,7520,7521,7522,2361,4390,2264, 546,1659, 138,3031,2445,4391,7523, // 4646
        2250, 612,1848, 910, 796,3765,1740,1371, 825,3766,3767,7524,2906,2554,7525, 692, // 4662
         444,3032,2624, 801,4392,4130,7526,1491, 244,1053,3033,4131,4132, 340,7527,3915, // 4678
        1041,2987, 293,1168,  87,1357,7528,1539, 959,7529,2236, 721, 694,4133,3768, 219, // 4694
        1478, 644,1417,3331,2656,1413,1401,1335,1389,3916,7530,7531,2988,2362,3134,1825, // 4710
         730,1515, 184,2827,  66,4393,7532,1660,2943, 246,3332, 378,1457, 226,3433, 975, // 4726
        3917,2944,1264,3537, 674, 696,7533, 163,7534,1141,2417,2166, 713,3538,3333,4394, // 4742
        3918,7535,7536,1186,  15,7537,1079,1070,7538,1522,3193,3539, 276,1050,2716, 758, // 4758
        1126, 653,2945,3263,7539,2337, 889,3540,3919,3081,2989, 903,1250,4395,3920,3434, // 4774
        3541,1342,1681,1718, 766,3264, 286,  89,2946,3649,7540,1713,7541,2597,3334,2990, // 4790
        7542,2947,2215,3194,2866,7543,4396,2498,2526, 181, 387,1075,3921, 731,2187,3335, // 4806
        7544,3265, 310, 313,3435,2299, 770,4134,  54,3034, 189,4397,3082,3769,3922,7545, // 4822
        1230,1617,1849, 355,3542,4135,4398,3336, 111,4136,3650,1350,3135,3436,3035,4137, // 4838
        2149,3266,3543,7546,2784,3923,3924,2991, 722,2008,7547,1071, 247,1207,2338,2471, // 4854
        1378,4399,2009, 864,1437,1214,4400, 373,3770,1142,2216, 667,4401, 442,2753,2555, // 4870
        3771,3925,1968,4138,3267,1839, 837, 170,1107, 934,1336,1882,7548,7549,2118,4139, // 4886
        2828, 743,1569,7550,4402,4140, 582,2384,1418,3437,7551,1802,7552, 357,1395,1729, // 4902
        3651,3268,2418,1564,2237,7553,3083,3772,1633,4403,1114,2085,4141,1532,7554, 482, // 4918
        2446,4404,7555,7556,1492, 833,1466,7557,2717,3544,1641,2829,7558,1526,1272,3652, // 4934
        4142,1686,1794, 416,2556,1902,1953,1803,7559,3773,2785,3774,1159,2316,7560,2867, // 4950
        4405,1610,1584,3036,2419,2754, 443,3269,1163,3136,7561,7562,3926,7563,4143,2499, // 4966
        3037,4406,3927,3137,2103,1647,3545,2010,1872,4144,7564,4145, 431,3438,7565, 250, // 4982
          97,  81,4146,7566,1648,1850,1558, 160, 848,7567, 866, 740,1694,7568,2201,2830, // 4998
        3195,4147,4407,3653,1687, 950,2472, 426, 469,3196,3654,3655,3928,7569,7570,1188, // 5014
         424,1995, 861,3546,4148,3775,2202,2685, 168,1235,3547,4149,7571,2086,1674,4408, // 5030
        3337,3270, 220,2557,1009,7572,3776, 670,2992, 332,1208, 717,7573,7574,3548,2447, // 5046
        3929,3338,7575, 513,7576,1209,2868,3339,3138,4409,1080,7577,7578,7579,7580,2527, // 5062
        3656,3549, 815,1587,3930,3931,7581,3550,3439,3777,1254,4410,1328,3038,1390,3932, // 5078
        1741,3933,3778,3934,7582, 236,3779,2448,3271,7583,7584,3657,3780,1273,3781,4411, // 5094
        7585, 308,7586,4412, 245,4413,1851,2473,1307,2575, 430, 715,2136,2449,7587, 270, // 5110
         199,2869,3935,7588,3551,2718,1753, 761,1754, 725,1661,1840,4414,3440,3658,7589, // 5126
        7590, 587,  14,3272, 227,2598, 326, 480,2265, 943,2755,3552, 291, 650,1883,7591, // 5142
        1702,1226, 102,1547,  62,3441, 904,4415,3442,1164,4150,7592,7593,1224,1548,2756, // 5158
         391, 498,1493,7594,1386,1419,7595,2055,1177,4416, 813, 880,1081,2363, 566,1145, // 5174
        4417,2286,1001,1035,2558,2599,2238, 394,1286,7596,7597,2068,7598,  86,1494,1730, // 5190
        3936, 491,1588, 745, 897,2948, 843,3340,3937,2757,2870,3273,1768, 998,2217,2069, // 5206
         397,1826,1195,1969,3659,2993,3341, 284,7599,3782,2500,2137,2119,1903,7600,3938, // 5222
        2150,3939,4151,1036,3443,1904, 114,2559,4152, 209,1527,7601,7602,2949,2831,2625, // 5238
        2385,2719,3139, 812,2560,7603,3274,7604,1559, 737,1884,3660,1210, 885,  28,2686, // 5254
        3553,3783,7605,4153,1004,1779,4418,7606, 346,1981,2218,2687,4419,3784,1742, 797, // 5270
        1642,3940,1933,1072,1384,2151, 896,3941,3275,3661,3197,2871,3554,7607,2561,1958, // 5286
        4420,2450,1785,7608,7609,7610,3942,4154,1005,1308,3662,4155,2720,4421,4422,1528, // 5302
        2600, 161,1178,4156,1982, 987,4423,1101,4157, 631,3943,1157,3198,2420,1343,1241, // 5318
        1016,2239,2562, 372, 877,2339,2501,1160, 555,1934, 911,3944,7611, 466,1170, 169, // 5334
        1051,2907,2688,3663,2474,2994,1182,2011,2563,1251,2626,7612, 992,2340,3444,1540, // 5350
        2721,1201,2070,2401,1996,2475,7613,4424, 528,1922,2188,1503,1873,1570,2364,3342, // 5366
        3276,7614, 557,1073,7615,1827,3445,2087,2266,3140,3039,3084, 767,3085,2786,4425, // 5382
        1006,4158,4426,2341,1267,2176,3664,3199, 778,3945,3200,2722,1597,2657,7616,4427, // 5398
        7617,3446,7618,7619,7620,3277,2689,1433,3278, 131,  95,1504,3946, 723,4159,3141, // 5414
        1841,3555,2758,2189,3947,2027,2104,3665,7621,2995,3948,1218,7622,3343,3201,3949, // 5430
        4160,2576, 248,1634,3785, 912,7623,2832,3666,3040,3786, 654,  53,7624,2996,7625, // 5446
        1688,4428, 777,3447,1032,3950,1425,7626, 191, 820,2120,2833, 971,4429, 931,3202, // 5462
         135, 664, 783,3787,1997, 772,2908,1935,3951,3788,4430,2909,3203, 282,2723, 640, // 5478
        1372,3448,1127, 922, 325,3344,7627,7628, 711,2044,7629,7630,3952,2219,2787,1936, // 5494
        3953,3345,2220,2251,3789,2300,7631,4431,3790,1258,3279,3954,3204,2138,2950,3955, // 5510
        3956,7632,2221, 258,3205,4432, 101,1227,7633,3280,1755,7634,1391,3281,7635,2910, // 5526
        2056, 893,7636,7637,7638,1402,4161,2342,7639,7640,3206,3556,7641,7642, 878,1325, // 5542
        1780,2788,4433, 259,1385,2577, 744,1183,2267,4434,7643,3957,2502,7644, 684,1024, // 5558
        4162,7645, 472,3557,3449,1165,3282,3958,3959, 322,2152, 881, 455,1695,1152,1340, // 5574
         660, 554,2153,4435,1058,4436,4163, 830,1065,3346,3960,4437,1923,7646,1703,1918, // 5590
        7647, 932,2268, 122,7648,4438, 947, 677,7649,3791,2627, 297,1905,1924,2269,4439, // 5606
        2317,3283,7650,7651,4164,7652,4165,  84,4166, 112, 989,7653, 547,1059,3961, 701, // 5622
        3558,1019,7654,4167,7655,3450, 942, 639, 457,2301,2451, 993,2951, 407, 851, 494, // 5638
        4440,3347, 927,7656,1237,7657,2421,3348, 573,4168, 680, 921,2911,1279,1874, 285, // 5654
         790,1448,1983, 719,2167,7658,7659,4441,3962,3963,1649,7660,1541, 563,7661,1077, // 5670
        7662,3349,3041,3451, 511,2997,3964,3965,3667,3966,1268,2564,3350,3207,4442,4443, // 5686
        7663, 535,1048,1276,1189,2912,2028,3142,1438,1373,2834,2952,1134,2012,7664,4169, // 5702
        1238,2578,3086,1259,7665, 700,7666,2953,3143,3668,4170,7667,4171,1146,1875,1906, // 5718
        4444,2601,3967, 781,2422, 132,1589, 203, 147, 273,2789,2402, 898,1786,2154,3968, // 5734
        3969,7668,3792,2790,7669,7670,4445,4446,7671,3208,7672,1635,3793, 965,7673,1804, // 5750
        2690,1516,3559,1121,1082,1329,3284,3970,1449,3794,  65,1128,2835,2913,2759,1590, // 5766
        3795,7674,7675,  12,2658,  45, 976,2579,3144,4447, 517,2528,1013,1037,3209,7676, // 5782
        3796,2836,7677,3797,7678,3452,7679,2602, 614,1998,2318,3798,3087,2724,2628,7680, // 5798
        2580,4172, 599,1269,7681,1810,3669,7682,2691,3088, 759,1060, 489,1805,3351,3285, // 5814
        1358,7683,7684,2386,1387,1215,2629,2252, 490,7685,7686,4173,1759,2387,2343,7687, // 5830
        4448,3799,1907,3971,2630,1806,3210,4449,3453,3286,2760,2344, 874,7688,7689,3454, // 5846
        3670,1858,  91,2914,3671,3042,3800,4450,7690,3145,3972,2659,7691,3455,1202,1403, // 5862
        3801,2954,2529,1517,2503,4451,3456,2504,7692,4452,7693,2692,1885,1495,1731,3973, // 5878
        2365,4453,7694,2029,7695,7696,3974,2693,1216, 237,2581,4174,2319,3975,3802,4454, // 5894
        4455,2694,3560,3457, 445,4456,7697,7698,7699,7700,2761,  61,3976,3672,1822,3977, // 5910
        7701, 687,2045, 935, 925, 405,2660, 703,1096,1859,2725,4457,3978,1876,1367,2695, // 5926
        3352, 918,2105,1781,2476, 334,3287,1611,1093,4458, 564,3146,3458,3673,3353, 945, // 5942
        2631,2057,4459,7702,1925, 872,4175,7703,3459,2696,3089, 349,4176,3674,3979,4460, // 5958
        3803,4177,3675,2155,3980,4461,4462,4178,4463,2403,2046, 782,3981, 400, 251,4179, // 5974
        1624,7704,7705, 277,3676, 299,1265, 476,1191,3804,2121,4180,4181,1109, 205,7706, // 5990
        2582,1000,2156,3561,1860,7707,7708,7709,4464,7710,4465,2565, 107,2477,2157,3982, // 6006
        3460,3147,7711,1533, 541,1301, 158, 753,4182,2872,3562,7712,1696, 370,1088,4183, // 6022
        4466,3563, 579, 327, 440, 162,2240, 269,1937,1374,3461, 968,3043,  56,1396,3090, // 6038
        2106,3288,3354,7713,1926,2158,4467,2998,7714,3564,7715,7716,3677,4468,2478,7717, // 6054
        2791,7718,1650,4469,7719,2603,7720,7721,3983,2661,3355,1149,3356,3984,3805,3985, // 6070
        7722,1076,  49,7723, 951,3211,3289,3290, 450,2837, 920,7724,1811,2792,2366,4184, // 6086
        1908,1138,2367,3806,3462,7725,3212,4470,1909,1147,1518,2423,4471,3807,7726,4472, // 6102
        2388,2604, 260,1795,3213,7727,7728,3808,3291, 708,7729,3565,1704,7730,3566,1351, // 6118
        1618,3357,2999,1886, 944,4185,3358,4186,3044,3359,4187,7731,3678, 422, 413,1714, // 6134
        3292, 500,2058,2345,4188,2479,7732,1344,1910, 954,7733,1668,7734,7735,3986,2404, // 6150
        4189,3567,3809,4190,7736,2302,1318,2505,3091, 133,3092,2873,4473, 629,  31,2838, // 6166
        2697,3810,4474, 850, 949,4475,3987,2955,1732,2088,4191,1496,1852,7737,3988, 620, // 6182
        3214, 981,1242,3679,3360,1619,3680,1643,3293,2139,2452,1970,1719,3463,2168,7738, // 6198
        3215,7739,7740,3361,1828,7741,1277,4476,1565,2047,7742,1636,3568,3093,7743, 869, // 6214
        2839, 655,3811,3812,3094,3989,3000,3813,1310,3569,4477,7744,7745,7746,1733, 558, // 6230
        4478,3681, 335,1549,3045,1756,4192,3682,1945,3464,1829,1291,1192, 470,2726,2107, // 6246
        2793, 913,1054,3990,7747,1027,7748,3046,3991,4479, 982,2662,3362,3148,3465,3216, // 6262
        3217,1946,2794,7749, 571,4480,7750,1830,7751,3570,2583,1523,2424,7752,2089, 984, // 6278
        4481,3683,1959,7753,3684, 852, 923,2795,3466,3685, 969,1519, 999,2048,2320,1705, // 6294
        7754,3095, 615,1662, 151, 597,3992,2405,2321,1049, 275,4482,3686,4193, 568,3687, // 6310
        3571,2480,4194,3688,7755,2425,2270, 409,3218,7756,1566,2874,3467,1002, 769,2840, // 6326
         194,2090,3149,3689,2222,3294,4195, 628,1505,7757,7758,1763,2177,3001,3993, 521, // 6342
        1161,2584,1787,2203,2406,4483,3994,1625,4196,4197, 412,  42,3096, 464,7759,2632, // 6358
        4484,3363,1760,1571,2875,3468,2530,1219,2204,3814,2633,2140,2368,4485,4486,3295, // 6374
        1651,3364,3572,7760,7761,3573,2481,3469,7762,3690,7763,7764,2271,2091, 460,7765, // 6390
        4487,7766,3002, 962, 588,3574, 289,3219,2634,1116,  52,7767,3047,1796,7768,7769, // 6406
        7770,1467,7771,1598,1143,3691,4198,1984,1734,1067,4488,1280,3365, 465,4489,1572, // 6422
         510,7772,1927,2241,1812,1644,3575,7773,4490,3692,7774,7775,2663,1573,1534,7776, // 6438
        7777,4199, 536,1807,1761,3470,3815,3150,2635,7778,7779,7780,4491,3471,2915,1911, // 6454
        2796,7781,3296,1122, 377,3220,7782, 360,7783,7784,4200,1529, 551,7785,2059,3693, // 6470
        1769,2426,7786,2916,4201,3297,3097,2322,2108,2030,4492,1404, 136,1468,1479, 672, // 6486
        1171,3221,2303, 271,3151,7787,2762,7788,2049, 678,2727, 865,1947,4493,7789,2013, // 6502
        3995,2956,7790,2728,2223,1397,3048,3694,4494,4495,1735,2917,3366,3576,7791,3816, // 6518
         509,2841,2453,2876,3817,7792,7793,3152,3153,4496,4202,2531,4497,2304,1166,1010, // 6534
         552, 681,1887,7794,7795,2957,2958,3996,1287,1596,1861,3154, 358, 453, 736, 175, // 6550
         478,1117, 905,1167,1097,7796,1853,1530,7797,1706,7798,2178,3472,2287,3695,3473, // 6566
        3577,4203,2092,4204,7799,3367,1193,2482,4205,1458,2190,2205,1862,1888,1421,3298, // 6582
        2918,3049,2179,3474, 595,2122,7800,3997,7801,7802,4206,1707,2636, 223,3696,1359, // 6598
         751,3098, 183,3475,7803,2797,3003, 419,2369, 633, 704,3818,2389, 241,7804,7805, // 6614
        7806, 838,3004,3697,2272,2763,2454,3819,1938,2050,3998,1309,3099,2242,1181,7807, // 6630
        1136,2206,3820,2370,1446,4207,2305,4498,7808,7809,4208,1055,2605, 484,3698,7810, // 6646
        3999, 625,4209,2273,3368,1499,4210,4000,7811,4001,4211,3222,2274,2275,3476,7812, // 6662
        7813,2764, 808,2606,3699,3369,4002,4212,3100,2532, 526,3370,3821,4213, 955,7814, // 6678
        1620,4214,2637,2427,7815,1429,3700,1669,1831, 994, 928,7816,3578,1260,7817,7818, // 6694
        7819,1948,2288, 741,2919,1626,4215,2729,2455, 867,1184, 362,3371,1392,7820,7821, // 6710
        4003,4216,1770,1736,3223,2920,4499,4500,1928,2698,1459,1158,7822,3050,3372,2877, // 6726
        1292,1929,2506,2842,3701,1985,1187,2071,2014,2607,4217,7823,2566,2507,2169,3702, // 6742
        2483,3299,7824,3703,4501,7825,7826, 666,1003,3005,1022,3579,4218,7827,4502,1813, // 6758
        2253, 574,3822,1603, 295,1535, 705,3823,4219, 283, 858, 417,7828,7829,3224,4503, // 6774
        4504,3051,1220,1889,1046,2276,2456,4004,1393,1599, 689,2567, 388,4220,7830,2484, // 6790
         802,7831,2798,3824,2060,1405,2254,7832,4505,3825,2109,1052,1345,3225,1585,7833, // 6806
         809,7834,7835,7836, 575,2730,3477, 956,1552,1469,1144,2323,7837,2324,1560,2457, // 6822
        3580,3226,4005, 616,2207,3155,2180,2289,7838,1832,7839,3478,4506,7840,1319,3704, // 6838
        3705,1211,3581,1023,3227,1293,2799,7841,7842,7843,3826, 607,2306,3827, 762,2878, // 6854
        1439,4221,1360,7844,1485,3052,7845,4507,1038,4222,1450,2061,2638,4223,1379,4508, // 6870
        2585,7846,7847,4224,1352,1414,2325,2921,1172,7848,7849,3828,3829,7850,1797,1451, // 6886
        7851,7852,7853,7854,2922,4006,4007,2485,2346, 411,4008,4009,3582,3300,3101,4509, // 6902
        1561,2664,1452,4010,1375,7855,7856,  47,2959, 316,7857,1406,1591,2923,3156,7858, // 6918
        1025,2141,3102,3157, 354,2731, 884,2224,4225,2407, 508,3706, 726,3583, 996,2428, // 6934
        3584, 729,7859, 392,2191,1453,4011,4510,3707,7860,7861,2458,3585,2608,1675,2800, // 6950
         919,2347,2960,2348,1270,4511,4012,  73,7862,7863, 647,7864,3228,2843,2255,1550, // 6966
        1346,3006,7865,1332, 883,3479,7866,7867,7868,7869,3301,2765,7870,1212, 831,1347, // 6982
        4226,4512,2326,3830,1863,3053, 720,3831,4513,4514,3832,7871,4227,7872,7873,4515, // 6998
        7874,7875,1798,4516,3708,2609,4517,3586,1645,2371,7876,7877,2924, 669,2208,2665, // 7014
        2429,7878,2879,7879,7880,1028,3229,7881,4228,2408,7882,2256,1353,7883,7884,4518, // 7030
        3158, 518,7885,4013,7886,4229,1960,7887,2142,4230,7888,7889,3007,2349,2350,3833, // 7046
         516,1833,1454,4014,2699,4231,4519,2225,2610,1971,1129,3587,7890,2766,7891,2961, // 7062
        1422, 577,1470,3008,1524,3373,7892,7893, 432,4232,3054,3480,7894,2586,1455,2508, // 7078
        2226,1972,1175,7895,1020,2732,4015,3481,4520,7896,2733,7897,1743,1361,3055,3482, // 7094
        2639,4016,4233,4521,2290, 895, 924,4234,2170, 331,2243,3056, 166,1627,3057,1098, // 7110
        7898,1232,2880,2227,3374,4522, 657, 403,1196,2372, 542,3709,3375,1600,4235,3483, // 7126
        7899,4523,2767,3230, 576, 530,1362,7900,4524,2533,2666,3710,4017,7901, 842,3834, // 7142
        7902,2801,2031,1014,4018, 213,2700,3376, 665, 621,4236,7903,3711,2925,2430,7904, // 7158
        2431,3302,3588,3377,7905,4237,2534,4238,4525,3589,1682,4239,3484,1380,7906, 724, // 7174
        2277, 600,1670,7907,1337,1233,4526,3103,2244,7908,1621,4527,7909, 651,4240,7910, // 7190
        1612,4241,2611,7911,2844,7912,2734,2307,3058,7913, 716,2459,3059, 174,1255,2701, // 7206
        4019,3590, 548,1320,1398, 728,4020,1574,7914,1890,1197,3060,4021,7915,3061,3062, // 7222
        3712,3591,3713, 747,7916, 635,4242,4528,7917,7918,7919,4243,7920,7921,4529,7922, // 7238
        3378,4530,2432, 451,7923,3714,2535,2072,4244,2735,4245,4022,7924,1764,4531,7925, // 7254
        4246, 350,7926,2278,2390,2486,7927,4247,4023,2245,1434,4024, 488,4532, 458,4248, // 7270
        4025,3715, 771,1330,2391,3835,2568,3159,2159,2409,1553,2667,3160,4249,7928,2487, // 7286
        2881,2612,1720,2702,4250,3379,4533,7929,2536,4251,7930,3231,4252,2768,7931,2015, // 7302
        2736,7932,1155,1017,3716,3836,7933,3303,2308, 201,1864,4253,1430,7934,4026,7935, // 7318
        7936,7937,7938,7939,4254,1604,7940, 414,1865, 371,2587,4534,4535,3485,2016,3104, // 7334
        4536,1708, 960,4255, 887, 389,2171,1536,1663,1721,7941,2228,4027,2351,2926,1580, // 7350
        7942,7943,7944,1744,7945,2537,4537,4538,7946,4539,7947,2073,7948,7949,3592,3380, // 7366
        2882,4256,7950,4257,2640,3381,2802, 673,2703,2460, 709,3486,4028,3593,4258,7951, // 7382
        1148, 502, 634,7952,7953,1204,4540,3594,1575,4541,2613,3717,7954,3718,3105, 948, // 7398
        3232, 121,1745,3837,1110,7955,4259,3063,2509,3009,4029,3719,1151,1771,3838,1488, // 7414
        4030,1986,7956,2433,3487,7957,7958,2093,7959,4260,3839,1213,1407,2803, 531,2737, // 7430
        2538,3233,1011,1537,7960,2769,4261,3106,1061,7961,3720,3721,1866,2883,7962,2017, // 7446
         120,4262,4263,2062,3595,3234,2309,3840,2668,3382,1954,4542,7963,7964,3488,1047, // 7462
        2704,1266,7965,1368,4543,2845, 649,3383,3841,2539,2738,1102,2846,2669,7966,7967, // 7478
        1999,7968,1111,3596,2962,7969,2488,3842,3597,2804,1854,3384,3722,7970,7971,3385, // 7494
        2410,2884,3304,3235,3598,7972,2569,7973,3599,2805,4031,1460, 856,7974,3600,7975, // 7510
        2885,2963,7976,2886,3843,7977,4264, 632,2510, 875,3844,1697,3845,2291,7978,7979, // 7526
        4544,3010,1239, 580,4545,4265,7980, 914, 936,2074,1190,4032,1039,2123,7981,7982, // 7542
        7983,3386,1473,7984,1354,4266,3846,7985,2172,3064,4033, 915,3305,4267,4268,3306, // 7558
        1605,1834,7986,2739, 398,3601,4269,3847,4034, 328,1912,2847,4035,3848,1331,4270, // 7574
        3011, 937,4271,7987,3602,4036,4037,3387,2160,4546,3388, 524, 742, 538,3065,1012, // 7590
        7988,7989,3849,2461,7990, 658,1103, 225,3850,7991,7992,4547,7993,4548,7994,3236, // 7606
        1243,7995,4038, 963,2246,4549,7996,2705,3603,3161,7997,7998,2588,2327,7999,4550, // 7622
        8000,8001,8002,3489,3307, 957,3389,2540,2032,1930,2927,2462, 870,2018,3604,1746, // 7638
        2770,2771,2434,2463,8003,3851,8004,3723,3107,3724,3490,3390,3725,8005,1179,3066, // 7654
        8006,3162,2373,4272,3726,2541,3163,3108,2740,4039,8007,3391,1556,2542,2292, 977, // 7670
        2887,2033,4040,1205,3392,8008,1765,3393,3164,2124,1271,1689, 714,4551,3491,8009, // 7686
        2328,3852, 533,4273,3605,2181, 617,8010,2464,3308,3492,2310,8011,8012,3165,8013, // 7702
        8014,3853,1987, 618, 427,2641,3493,3394,8015,8016,1244,1690,8017,2806,4274,4552, // 7718
        8018,3494,8019,8020,2279,1576, 473,3606,4275,3395, 972,8021,3607,8022,3067,8023, // 7734
        8024,4553,4554,8025,3727,4041,4042,8026, 153,4555, 356,8027,1891,2888,4276,2143, // 7750
         408, 803,2352,8028,3854,8029,4277,1646,2570,2511,4556,4557,3855,8030,3856,4278, // 7766
        8031,2411,3396, 752,8032,8033,1961,2964,8034, 746,3012,2465,8035,4279,3728, 698, // 7782
        4558,1892,4280,3608,2543,4559,3609,3857,8036,3166,3397,8037,1823,1302,4043,2706, // 7798
        3858,1973,4281,8038,4282,3167, 823,1303,1288,1236,2848,3495,4044,3398, 774,3859, // 7814
        8039,1581,4560,1304,2849,3860,4561,8040,2435,2161,1083,3237,4283,4045,4284, 344, // 7830
        1173, 288,2311, 454,1683,8041,8042,1461,4562,4046,2589,8043,8044,4563, 985, 894, // 7846
        8045,3399,3168,8046,1913,2928,3729,1988,8047,2110,1974,8048,4047,8049,2571,1194, // 7862
         425,8050,4564,3169,1245,3730,4285,8051,8052,2850,8053, 636,4565,1855,3861, 760, // 7878
        1799,8054,4286,2209,1508,4566,4048,1893,1684,2293,8055,8056,8057,4287,4288,2210, // 7894
         479,8058,8059, 832,8060,4049,2489,8061,2965,2490,3731, 990,3109, 627,1814,2642, // 7910
        4289,1582,4290,2125,2111,3496,4567,8062, 799,4291,3170,8063,4568,2112,1737,3013, // 7926
        1018, 543, 754,4292,3309,1676,4569,4570,4050,8064,1489,8065,3497,8066,2614,2889, // 7942
        4051,8067,8068,2966,8069,8070,8071,8072,3171,4571,4572,2182,1722,8073,3238,3239, // 7958
        1842,3610,1715, 481, 365,1975,1856,8074,8075,1962,2491,4573,8076,2126,3611,3240, // 7974
         433,1894,2063,2075,8077, 602,2741,8078,8079,8080,8081,8082,3014,1628,3400,8083, // 7990
        3172,4574,4052,2890,4575,2512,8084,2544,2772,8085,8086,8087,3310,4576,2891,8088, // 8006
        4577,8089,2851,4578,4579,1221,2967,4053,2513,8090,8091,8092,1867,1989,8093,8094, // 8022
        8095,1895,8096,8097,4580,1896,4054, 318,8098,2094,4055,4293,8099,8100, 485,8101, // 8038
         938,3862, 553,2670, 116,8102,3863,3612,8103,3498,2671,2773,3401,3311,2807,8104, // 8054
        3613,2929,4056,1747,2930,2968,8105,8106, 207,8107,8108,2672,4581,2514,8109,3015, // 8070
         890,3614,3864,8110,1877,3732,3402,8111,2183,2353,3403,1652,8112,8113,8114, 941, // 8086
        2294, 208,3499,4057,2019, 330,4294,3865,2892,2492,3733,4295,8115,8116,8117,8118, // 8102

        /*************************************************************************************** 
         *Everything below is of no interest for detection purpose							   *
         ***************************************************************************************

        2515,1613,4582,8119,3312,3866,2516,8120,4058,8121,1637,4059,2466,4583,3867,8122, // 8118
        2493,3016,3734,8123,8124,2192,8125,8126,2162,8127,8128,8129,8130,8131,8132,8133, // 8134
        8134,8135,8136,8137,8138,8139,8140,8141,8142,8143,8144,8145,8146,8147,8148,8149, // 8150
        8150,8151,8152,8153,8154,8155,8156,8157,8158,8159,8160,8161,8162,8163,8164,8165, // 8166
        8166,8167,8168,8169,8170,8171,8172,8173,8174,8175,8176,8177,8178,8179,8180,8181, // 8182
        8182,8183,8184,8185,8186,8187,8188,8189,8190,8191,8192,8193,8194,8195,8196,8197, // 8198
        8198,8199,8200,8201,8202,8203,8204,8205,8206,8207,8208,8209,8210,8211,8212,8213, // 8214
        8214,8215,8216,8217,8218,8219,8220,8221,8222,8223,8224,8225,8226,8227,8228,8229, // 8230
        8230,8231,8232,8233,8234,8235,8236,8237,8238,8239,8240,8241,8242,8243,8244,8245, // 8246
        8246,8247,8248,8249,8250,8251,8252,8253,8254,8255,8256,8257,8258,8259,8260,8261, // 8262
        8262,8263,8264,8265,8266,8267,8268,8269,8270,8271,8272,8273,8274,8275,8276,8277, // 8278
        8278,8279,8280,8281,8282,8283,8284,8285,8286,8287,8288,8289,8290,8291,8292,8293, // 8294
        8294,8295,8296,8297,8298,8299,8300,8301,8302,8303,8304,8305,8306,8307,8308,8309, // 8310
        8310,8311,8312,8313,8314,8315,8316,8317,8318,8319,8320,8321,8322,8323,8324,8325, // 8326
        8326,8327,8328,8329,8330,8331,8332,8333,8334,8335,8336,8337,8338,8339,8340,8341, // 8342
        8342,8343,8344,8345,8346,8347,8348,8349,8350,8351,8352,8353,8354,8355,8356,8357, // 8358
        8358,8359,8360,8361,8362,8363,8364,8365,8366,8367,8368,8369,8370,8371,8372,8373, // 8374
        8374,8375,8376,8377,8378,8379,8380,8381,8382,8383,8384,8385,8386,8387,8388,8389, // 8390
        8390,8391,8392,8393,8394,8395,8396,8397,8398,8399,8400,8401,8402,8403,8404,8405, // 8406
        8406,8407,8408,8409,8410,8411,8412,8413,8414,8415,8416,8417,8418,8419,8420,8421, // 8422
        8422,8423,8424,8425,8426,8427,8428,8429,8430,8431,8432,8433,8434,8435,8436,8437, // 8438
        8438,8439,8440,8441,8442,8443,8444,8445,8446,8447,8448,8449,8450,8451,8452,8453, // 8454
        8454,8455,8456,8457,8458,8459,8460,8461,8462,8463,8464,8465,8466,8467,8468,8469, // 8470
        8470,8471,8472,8473,8474,8475,8476,8477,8478,8479,8480,8481,8482,8483,8484,8485, // 8486
        8486,8487,8488,8489,8490,8491,8492,8493,8494,8495,8496,8497,8498,8499,8500,8501, // 8502
        8502,8503,8504,8505,8506,8507,8508,8509,8510,8511,8512,8513,8514,8515,8516,8517, // 8518
        8518,8519,8520,8521,8522,8523,8524,8525,8526,8527,8528,8529,8530,8531,8532,8533, // 8534
        8534,8535,8536,8537,8538,8539,8540,8541,8542,8543,8544,8545,8546,8547,8548,8549, // 8550
        8550,8551,8552,8553,8554,8555,8556,8557,8558,8559,8560,8561,8562,8563,8564,8565, // 8566
        8566,8567,8568,8569,8570,8571,8572,8573,8574,8575,8576,8577,8578,8579,8580,8581, // 8582
        8582,8583,8584,8585,8586,8587,8588,8589,8590,8591,8592,8593,8594,8595,8596,8597, // 8598
        8598,8599,8600,8601,8602,8603,8604,8605,8606,8607,8608,8609,8610,8611,8612,8613, // 8614
        8614,8615,8616,8617,8618,8619,8620,8621,8622,8623,8624,8625,8626,8627,8628,8629, // 8630
        8630,8631,8632,8633,8634,8635,8636,8637,8638,8639,8640,8641,8642,8643,8644,8645, // 8646
        8646,8647,8648,8649,8650,8651,8652,8653,8654,8655,8656,8657,8658,8659,8660,8661, // 8662
        8662,8663,8664,8665,8666,8667,8668,8669,8670,8671,8672,8673,8674,8675,8676,8677, // 8678
        8678,8679,8680,8681,8682,8683,8684,8685,8686,8687,8688,8689,8690,8691,8692,8693, // 8694
        8694,8695,8696,8697,8698,8699,8700,8701,8702,8703,8704,8705,8706,8707,8708,8709, // 8710
        8710,8711,8712,8713,8714,8715,8716,8717,8718,8719,8720,8721,8722,8723,8724,8725, // 8726
        8726,8727,8728,8729,8730,8731,8732,8733,8734,8735,8736,8737,8738,8739,8740,8741, // 8742															 //13973
        ****************************************************************************************/
        };

        public EUCTWDistributionAnalyser()
        {
            charToFreqOrder = EUCTW_CHAR2FREQ_ORDER;
            tableSize = EUCTW_TABLE_SIZE;
            typicalDistributionRatio = EUCTW_TYPICAL_DISTRIBUTION_RATIO;
        }

        /// <summary>
        /// first  byte range: 0xc4 -- 0xfe
        ///  second byte range: 0xa1 -- 0xfe
        /// no validation needed here. State machine has done that
        /// </summary>
        public override int GetOrder(byte[] buf, int offset) 
        { 
            if (buf[offset] >= 0xC4)  
                return 94 * (buf[offset] - 0xC4) + buf[offset+1] - 0xA1;
            else
                return -1;
        }
    }
    
    public class EUCKRDistributionAnalyser : CharDistributionAnalyser
    {
                // Sampling from about 20M text materials include literature and computer technology
        /*
         * 128  --> 0.79
         * 256  --> 0.92
         * 512  --> 0.986
         * 1024 --> 0.99944
         * 2048 --> 0.99999
         *
         * Idea Distribution Ratio = 0.98653 / (1-0.98653) = 73.24
         * Random Distribution Ration = 512 / (2350-512) = 0.279.
         */

        public const float EUCKR_TYPICAL_DISTRIBUTION_RATIO = 6.0f;

        public const int EUCKR_TABLE_SIZE = 2352;

        // Char to FreqOrder table
        public static int[] EUCKR_CHAR2FREQ_ORDER = {
          13, 130, 120,1396, 481,1719,1720, 328, 609, 212,1721, 707, 400, 299,1722,  87,
        1397, 1723, 104, 536,1117,1203,1724,1267, 685,1268, 508,1725,1726,1727,1728,1398,
        1399, 1729, 1730, 1731, 141, 621, 326,1057, 368,1732, 267, 488,  20,1733,1269,1734,
         945, 1400, 1735,  47, 904,1270,1736,1737, 773, 248,1738, 409, 313, 786, 429,1739,
         116, 987, 813,1401, 683,  75,1204, 145,1740,1741,1742,1743,  16, 847, 667, 622,
         708,1744,1745,1746, 966, 787, 304, 129,1747,  60, 820, 123, 676,1748,1749,1750,
        1751, 617,1752, 626,1753,1754,1755,1756, 653,1757,1758,1759,1760,1761,1762, 856,
         344,1763,1764,1765,1766,  89, 401, 418, 806, 905, 848,1767,1768,1769, 946,1205,
         709,1770,1118,1771, 241,1772,1773,1774,1271,1775, 569,1776, 999,1777,1778,1779,
        1780, 337, 751,1058,  28, 628, 254,1781, 177, 906, 270, 349, 891,1079,1782,  19,
        1783, 379,1784, 315,1785, 629, 754,1402, 559,1786, 636, 203,1206,1787, 710, 567,
        1788, 935, 814,1789,1790,1207, 766, 528,1791,1792,1208,1793,1794,1795,1796,1797,
        1403,1798,1799, 533,1059,1404,1405,1156,1406, 936, 884,1080,1800, 351,1801,1802,
        1803,1804,1805, 801,1806,1807,1808,1119,1809,1157, 714, 474,1407,1810, 298, 899,
         885,1811,1120, 802,1158,1812, 892,1813,1814,1408, 659,1815,1816,1121,1817,1818,
        1819,1820,1821,1822, 319,1823, 594, 545,1824, 815, 937,1209,1825,1826, 573,1409,
        1022,1827,1210,1828,1829,1830,1831,1832,1833, 556, 722, 807,1122,1060,1834, 697,
        1835, 900, 557, 715,1836,1410, 540,1411, 752,1159, 294, 597,1211, 976, 803, 770,
        1412,1837,1838,  39, 794,1413, 358,1839, 371, 925,1840, 453, 661, 788, 531, 723,
         544,1023,1081, 869,  91,1841, 392, 430, 790, 602,1414, 677,1082, 457,1415,1416,
        1842,1843, 475, 327,1024,1417, 795, 121,1844, 733, 403,1418,1845,1846,1847, 300,
         119, 711,1212, 627,1848,1272, 207,1849,1850, 796,1213, 382,1851, 519,1852,1083,
         893,1853,1854,1855, 367, 809, 487, 671,1856, 663,1857,1858, 956, 471, 306, 857,
        1859,1860,1160,1084,1861,1862,1863,1864,1865,1061,1866,1867,1868,1869,1870,1871,
         282,  96, 574,1872, 502,1085,1873,1214,1874, 907,1875,1876, 827, 977,1419,1420,
        1421, 268,1877,1422,1878,1879,1880, 308,1881,   2, 537,1882,1883,1215,1884,1885,
         127, 791,1886,1273,1423,1887,  34, 336, 404, 643,1888, 571, 654, 894, 840,1889,
           0, 886,1274, 122, 575, 260, 908, 938,1890,1275, 410, 316,1891,1892, 100,1893,
        1894,1123,  48,1161,1124,1025,1895, 633, 901,1276,1896,1897, 115, 816,1898, 317,
        1899, 694,1900, 909, 734,1424, 572, 866,1425, 691,  85, 524,1010, 543, 394, 841,
        1901,1902,1903,1026,1904,1905,1906,1907,1908,1909,  30, 451, 651, 988, 310,1910,
        1911,1426, 810,1216,  93,1912,1913,1277,1217,1914, 858, 759,  45,  58, 181, 610,
         269,1915,1916, 131,1062, 551, 443,1000, 821,1427, 957, 895,1086,1917,1918, 375,
        1919, 359,1920, 687,1921, 822,1922, 293,1923,1924,  40, 662, 118, 692,  29, 939,
         887, 640, 482, 174,1925,  69,1162, 728,1428, 910,1926,1278,1218,1279, 386, 870,
         217, 854,1163, 823,1927,1928,1929,1930, 834,1931,  78,1932, 859,1933,1063,1934,
        1935,1936,1937, 438,1164, 208, 595,1938,1939,1940,1941,1219,1125,1942, 280, 888,
        1429,1430,1220,1431,1943,1944,1945,1946,1947,1280, 150, 510,1432,1948,1949,1950,
        1951,1952,1953,1954,1011,1087,1955,1433,1043,1956, 881,1957, 614, 958,1064,1065,
        1221,1958, 638,1001, 860, 967, 896,1434, 989, 492, 553,1281,1165,1959,1282,1002,
        1283,1222,1960,1961,1962,1963,  36, 383, 228, 753, 247, 454,1964, 876, 678,1965,
        1966,1284, 126, 464, 490, 835, 136, 672, 529, 940,1088,1435, 473,1967,1968, 467,
          50, 390, 227, 587, 279, 378, 598, 792, 968, 240, 151, 160, 849, 882,1126,1285,
         639,1044, 133, 140, 288, 360, 811, 563,1027, 561, 142, 523,1969,1970,1971,   7,
         103, 296, 439, 407, 506, 634, 990,1972,1973,1974,1975, 645,1976,1977,1978,1979,
        1980,1981, 236,1982,1436,1983,1984,1089, 192, 828, 618, 518,1166, 333,1127,1985,
         818,1223,1986,1987,1988,1989,1990,1991,1992,1993, 342,1128,1286, 746, 842,1994,
        1995, 560, 223,1287,  98,   8, 189, 650, 978,1288,1996,1437,1997,  17, 345, 250,
         423, 277, 234, 512, 226,  97, 289,  42, 167,1998, 201,1999,2000, 843, 836, 824,
         532, 338, 783,1090, 182, 576, 436,1438,1439, 527, 500,2001, 947, 889,2002,2003,
        2004,2005, 262, 600, 314, 447,2006, 547,2007, 693, 738,1129,2008,  71,1440, 745,
         619, 688,2009, 829,2010,2011, 147,2012,  33, 948,2013,2014,  74, 224,2015,  61,
         191, 918, 399, 637,2016,1028,1130, 257, 902,2017,2018,2019,2020,2021,2022,2023,
        2024,2025,2026, 837,2027,2028,2029,2030, 179, 874, 591,  52, 724, 246,2031,2032,
        2033,2034,1167, 969,2035,1289, 630, 605, 911,1091,1168,2036,2037,2038,1441, 912,
        2039, 623,2040,2041, 253,1169,1290,2042,1442, 146, 620, 611, 577, 433,2043,1224,
         719,1170, 959, 440, 437, 534,  84, 388, 480,1131, 159, 220, 198, 679,2044,1012,
         819,1066,1443, 113,1225, 194, 318,1003,1029,2045,2046,2047,2048,1067,2049,2050,
        2051,2052,2053,  59, 913, 112,2054, 632,2055, 455, 144, 739,1291,2056, 273, 681,
         499,2057, 448,2058,2059, 760,2060,2061, 970, 384, 169, 245,1132,2062,2063, 414,
        1444,2064,2065,  41, 235,2066, 157, 252, 877, 568, 919, 789, 580,2067, 725,2068,
        2069,1292,2070,2071,1445,2072,1446,2073,2074,  55, 588,  66,1447, 271,1092,2075,
        1226,2076, 960,1013, 372,2077,2078,2079,2080,2081,1293,2082,2083,2084,2085, 850,
        2086,2087,2088,2089,2090, 186,2091,1068, 180,2092,2093,2094, 109,1227, 522, 606,
        2095, 867,1448,1093, 991,1171, 926, 353,1133,2096, 581,2097,2098,2099,1294,1449,
        1450,2100, 596,1172,1014,1228,2101,1451,1295,1173,1229,2102,2103,1296,1134,1452,
         949,1135,2104,2105,1094,1453,1454,1455,2106,1095,2107,2108,2109,2110,2111,2112,
        2113,2114,2115,2116,2117, 804,2118,2119,1230,1231, 805,1456, 405,1136,2120,2121,
        2122,2123,2124, 720, 701,1297, 992,1457, 927,1004,2125,2126,2127,2128,2129,2130,
          22, 417,2131, 303,2132, 385,2133, 971, 520, 513,2134,1174,  73,1096, 231, 274,
         962,1458, 673,2135,1459,2136, 152,1137,2137,2138,2139,2140,1005,1138,1460,1139,
        2141,2142,2143,2144,  11, 374, 844,2145, 154,1232,  46,1461,2146, 838, 830, 721,
        1233, 106,2147,  90, 428, 462, 578, 566,1175, 352,2148,2149, 538,1234, 124,1298,
        2150,1462, 761, 565,2151, 686,2152, 649,2153,  72, 173,2154, 460, 415,2155,1463,
        2156,1235, 305,2157,2158,2159,2160,2161,2162, 579,2163,2164,2165,2166,2167, 747,
        2168,2169,2170,2171,1464, 669,2172,2173,2174,2175,2176,1465,2177,  23, 530, 285,
        2178, 335, 729,2179, 397,2180,2181,2182,1030,2183,2184, 698,2185,2186, 325,2187,
        2188, 369,2189, 799,1097,1015, 348,2190,1069, 680,2191, 851,1466,2192,2193,  10,
        2194, 613, 424,2195, 979, 108, 449, 589,  27, 172,  81,1031,  80, 774, 281, 350,
        1032, 525, 301, 582,1176,2196, 674,1045,2197,2198,1467, 730, 762,2199,2200,2201,
        2202,1468,2203, 993,2204,2205, 266,1070, 963,1140,2206,2207,2208, 664,1098, 972,
        2209,2210,2211,1177,1469,1470, 871,2212,2213,2214,2215,2216,1471,2217,2218,2219,
        2220,2221,2222,2223,2224,2225,2226,2227,1472,1236,2228,2229,2230,2231,2232,2233,
        2234,2235,1299,2236,2237, 200,2238, 477, 373,2239,2240, 731, 825, 777,2241,2242,
        2243, 521, 486, 548,2244,2245,2246,1473,1300,  53, 549, 137, 875,  76, 158,2247,
        1301,1474, 469, 396,1016, 278, 712,2248, 321, 442, 503, 767, 744, 941,1237,1178,
        1475,2249,  82, 178,1141,1179, 973,2250,1302,2251, 297,2252,2253, 570,2254,2255,
        2256,  18, 450, 206,2257, 290, 292,1142,2258, 511, 162,  99, 346, 164, 735,2259,
        1476,1477,   4, 554, 343, 798,1099,2260,1100,2261,  43, 171,1303, 139, 215,2262,
        2263, 717, 775,2264,1033, 322, 216,2265, 831,2266, 149,2267,1304,2268,2269, 702,
        1238, 135, 845, 347, 309,2270, 484,2271, 878, 655, 238,1006,1478,2272,  67,2273,
         295,2274,2275, 461,2276, 478, 942, 412,2277,1034,2278,2279,2280, 265,2281, 541,
        2282,2283,2284,2285,2286,  70, 852,1071,2287,2288,2289,2290,  21,  56, 509, 117,
         432,2291,2292, 331, 980, 552,1101, 148, 284, 105, 393,1180,1239, 755,2293, 187,
        2294,1046,1479,2295, 340,2296,  63,1047, 230,2297,2298,1305, 763,1306, 101, 800,
         808, 494,2299,2300,2301, 903,2302,  37,1072,  14,   5,2303,  79, 675,2304, 312,
        2305,2306,2307,2308,2309,1480,   6,1307,2310,2311,2312,   1, 470,  35,  24, 229,
        2313, 695, 210,  86, 778,  15, 784, 592, 779,  32,  77, 855, 964,2314, 259,2315,
         501, 380,2316,2317,  83, 981, 153, 689,1308,1481,1482,1483,2318,2319, 716,1484,
        2320,2321,2322,2323,2324,2325,1485,2326,2327, 128,  57,  68, 261,1048, 211, 170,
        1240,  31,2328,  51, 435, 742,2329,2330,2331, 635,2332, 264, 456,2333,2334,2335,
         425,2336,1486, 143, 507, 263, 943,2337, 363, 920,1487, 256,1488,1102, 243, 601,
        1489,2338,2339,2340,2341,2342,2343,2344, 861,2345,2346,2347,2348,2349,2350, 395,
        2351,1490,1491,  62, 535, 166, 225,2352,2353, 668, 419,1241, 138, 604, 928,2354,
        1181,2355,1492,1493,2356,2357,2358,1143,2359, 696,2360, 387, 307,1309, 682, 476,
        2361,2362, 332,  12, 222, 156,2363, 232,2364, 641, 276, 656, 517,1494,1495,1035,
         416, 736,1496,2365,1017, 586,2366,2367,2368,1497,2369, 242,2370,2371,2372,1498,
        2373, 965, 713,2374,2375,2376,2377, 740, 982,1499, 944,1500,1007,2378,2379,1310,
        1501,2380,2381,2382, 785, 329,2383,2384,1502,2385,2386,2387, 932,2388,1503,2389,
        2390,2391,2392,1242,2393,2394,2395,2396,2397, 994, 950,2398,2399,2400,2401,1504,
        1311,2402,2403,2404,2405,1049, 749,2406,2407, 853, 718,1144,1312,2408,1182,1505,
        2409,2410, 255, 516, 479, 564, 550, 214,1506,1507,1313, 413, 239, 444, 339,1145,
        1036,1508,1509,1314,1037,1510,1315,2411,1511,2412,2413,2414, 176, 703, 497, 624,
         593, 921, 302,2415, 341, 165,1103,1512,2416,1513,2417,2418,2419, 376,2420, 700,
        2421,2422,2423, 258, 768,1316,2424,1183,2425, 995, 608,2426,2427,2428,2429, 221,
        2430,2431,2432,2433,2434,2435,2436,2437, 195, 323, 726, 188, 897, 983,1317, 377,
         644,1050, 879,2438, 452,2439,2440,2441,2442,2443,2444, 914,2445,2446,2447,2448,
         915, 489,2449,1514,1184,2450,2451, 515,  64, 427, 495,2452, 583,2453, 483, 485,
        1038, 562, 213,1515, 748, 666,2454,2455,2456,2457, 334,2458, 780, 996,1008, 705,
        1243,2459,2460,2461,2462,2463, 114,2464, 493,1146, 366, 163,1516, 961,1104,2465,
         291,2466,1318,1105,2467,1517, 365,2468, 355, 951,1244,2469,1319,2470, 631,2471,
        2472, 218,1320, 364, 320, 756,1518,1519,1321,1520,1322,2473,2474,2475,2476, 997,
        2477,2478,2479,2480, 665,1185,2481, 916,1521,2482,2483,2484, 584, 684,2485,2486,
         797,2487,1051,1186,2488,2489,2490,1522,2491,2492, 370,2493,1039,1187,  65,2494,
         434, 205, 463,1188,2495, 125, 812, 391, 402, 826, 699, 286, 398, 155, 781, 771,
         585,2496, 590, 505,1073,2497, 599, 244, 219, 917,1018, 952, 646,1523,2498,1323,
        2499,2500,  49, 984, 354, 741,2501, 625,2502,1324,2503,1019, 190, 357, 757, 491,
          95, 782, 868,2504,2505,2506,2507,2508,2509, 134,1524,1074, 422,1525, 898,2510,
         161,2511,2512,2513,2514, 769,2515,1526,2516,2517, 411,1325,2518, 472,1527,2519,
        2520,2521,2522,2523,2524, 985,2525,2526,2527,2528,2529,2530, 764,2531,1245,2532,
        2533,  25, 204, 311,2534, 496,2535,1052,2536,2537,2538,2539,2540,2541,2542, 199,
         704, 504, 468, 758, 657,1528, 196,  44, 839,1246, 272, 750,2543, 765, 862,2544,
        2545,1326,2546, 132, 615, 933,2547, 732,2548,2549,2550,1189,1529,2551, 283,1247,
        1053, 607, 929,2552,2553,2554, 930, 183, 872, 616,1040,1147,2555,1148,1020, 441,
         249,1075,2556,2557,2558, 466, 743,2559,2560,2561,  92, 514, 426, 420, 526,2562,
        2563,2564,2565,2566,2567,2568, 185,2569,2570,2571,2572, 776,1530, 658,2573, 362,
        2574, 361, 922,1076, 793,2575,2576,2577,2578,2579,2580,1531, 251,2581,2582,2583,
        2584,1532,  54, 612, 237,1327,2585,2586, 275, 408, 647, 111,2587,1533,1106, 465,
           3, 458,   9,  38,2588, 107, 110, 890, 209,  26, 737, 498,2589,1534,2590, 431,
         202,  88,1535, 356, 287,1107, 660,1149,2591, 381,1536, 986,1150, 445,1248,1151,
         974,2592,2593, 846,2594, 446, 953, 184,1249,1250, 727,2595, 923, 193, 883,2596,
        2597,2598, 102, 324, 539, 817,2599, 421,1041,2600, 832,2601,  94, 175, 197, 406,
        2602, 459,2603,2604,2605,2606,2607, 330, 555,2608,2609,2610, 706,1108, 389,2611,
        2612,2613,2614, 233,2615, 833, 558, 931, 954,1251,2616,2617,1537, 546,2618,2619,
        1009,2620,2621,2622,1538, 690,1328,2623, 955,2624,1539,2625,2626, 772,2627,2628,
        2629,2630,2631, 924, 648, 863, 603,2632,2633, 934,1540, 864, 865,2634, 642,1042,
         670,1190,2635,2636,2637,2638, 168,2639, 652, 873, 542,1054,1541,2640,2641,2642,  //512, 256

        /*************************************************************************************** 
         * Everything below is of no interest for detection purpose							   
         ***************************************************************************************

        2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,
        2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,
        2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,
        2691,2692,2693,2694,2695,2696,2697,2698,2699,1542, 880,2700,2701,2702,2703,2704,
        2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,
        2721,2722,2723,2724,2725,1543,2726,2727,2728,2729,2730,2731,2732,1544,2733,2734,
        2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,
        2751,2752,2753,2754,1545,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,2765,
        2766,1546,2767,1547,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,
        2780,2781,2782,2783,2784,2785,2786,1548,2787,2788,2789,1109,2790,2791,2792,2793,
        2794,2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,
        2810,2811,2812,1329,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,
        2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,2840,
        2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,2855,2856,
        1549,2857,2858,2859,2860,1550,2861,2862,1551,2863,2864,2865,2866,2867,2868,2869,
        2870,2871,2872,2873,2874,1110,1330,2875,2876,2877,2878,2879,2880,2881,2882,2883,
        2884,2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,
        2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,2915,
        2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,1331,
        2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2941,2942,2943,1552,2944,2945,
        2946,2947,2948,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,
        2962,2963,2964,1252,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2976,
        2977,2978,2979,2980,2981,2982,2983,2984,2985,2986,2987,2988,2989,2990,2991,2992,
        2993,2994,2995,2996,2997,2998,2999,3000,3001,3002,3003,3004,3005,3006,3007,3008,
        3009,3010,3011,3012,1553,3013,3014,3015,3016,3017,1554,3018,1332,3019,3020,3021,
        3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,
        3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,1555,3051,3052,
        3053,1556,1557,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,
        3067,1558,3068,3069,3070,3071,3072,3073,3074,3075,3076,1559,3077,3078,3079,3080,
        3081,3082,3083,1253,3084,3085,3086,3087,3088,3089,3090,3091,3092,3093,3094,3095,
        3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3107,3108,1152,3109,3110,
        3111,3112,3113,1560,3114,3115,3116,3117,1111,3118,3119,3120,3121,3122,3123,3124,
        3125,3126,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,
        3141,3142,3143,3144,3145,3146,3147,3148,3149,3150,3151,3152,3153,3154,3155,3156,
        3157,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3168,3169,3170,3171,3172,
        3173,3174,3175,3176,1333,3177,3178,3179,3180,3181,3182,3183,3184,3185,3186,3187,
        3188,3189,1561,3190,3191,1334,3192,3193,3194,3195,3196,3197,3198,3199,3200,3201,
        3202,3203,3204,3205,3206,3207,3208,3209,3210,3211,3212,3213,3214,3215,3216,3217,
        3218,3219,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,
        3234,1562,3235,3236,3237,3238,3239,3240,3241,3242,3243,3244,3245,3246,3247,3248,
        3249,3250,3251,3252,3253,3254,3255,3256,3257,3258,3259,3260,3261,3262,3263,3264,
        3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,1563,3278,3279,
        3280,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,
        3296,3297,3298,3299,3300,3301,3302,3303,3304,3305,3306,3307,3308,3309,3310,3311,
        3312,3313,3314,3315,3316,3317,3318,3319,3320,3321,3322,3323,3324,3325,3326,3327,
        3328,3329,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,
        3344,3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,
        3360,3361,3362,3363,3364,1335,3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,
        3375,3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,1336,3388,3389,
        3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,3400,3401,3402,3403,3404,3405,
        3406,3407,3408,3409,3410,3411,3412,3413,3414,1337,3415,3416,3417,3418,3419,1338,
        3420,3421,3422,1564,1565,3423,3424,3425,3426,3427,3428,3429,3430,3431,1254,3432,
        3433,3434,1339,3435,3436,3437,3438,3439,1566,3440,3441,3442,3443,3444,3445,3446,
        3447,3448,3449,3450,3451,3452,3453,3454,1255,3455,3456,3457,3458,3459,1567,1191,
        3460,1568,1569,3461,3462,3463,1570,3464,3465,3466,3467,3468,1571,3469,3470,3471,
        3472,3473,1572,3474,3475,3476,3477,3478,3479,3480,3481,3482,3483,3484,3485,3486,
        1340,3487,3488,3489,3490,3491,3492,1021,3493,3494,3495,3496,3497,3498,1573,3499,
        1341,3500,3501,3502,3503,3504,3505,3506,3507,3508,3509,3510,3511,1342,3512,3513,
        3514,3515,3516,1574,1343,3517,3518,3519,1575,3520,1576,3521,3522,3523,3524,3525,
        3526,3527,3528,3529,3530,3531,3532,3533,3534,3535,3536,3537,3538,3539,3540,3541,
        3542,3543,3544,3545,3546,3547,3548,3549,3550,3551,3552,3553,3554,3555,3556,3557,
        3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,3573,
        3574,3575,3576,3577,3578,3579,3580,1577,3581,3582,1578,3583,3584,3585,3586,3587,
        3588,3589,3590,3591,3592,3593,3594,3595,3596,3597,3598,3599,3600,3601,3602,3603,
        3604,1579,3605,3606,3607,3608,3609,3610,3611,3612,3613,3614,3615,3616,3617,3618,
        3619,3620,3621,3622,3623,3624,3625,3626,3627,3628,3629,1580,3630,3631,1581,3632,
        3633,3634,3635,3636,3637,3638,3639,3640,3641,3642,3643,3644,3645,3646,3647,3648,
        3649,3650,3651,3652,3653,3654,3655,3656,1582,3657,3658,3659,3660,3661,3662,3663,
        3664,3665,3666,3667,3668,3669,3670,3671,3672,3673,3674,3675,3676,3677,3678,3679,
        3680,3681,3682,3683,3684,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,3695,
        3696,3697,3698,3699,3700,1192,3701,3702,3703,3704,1256,3705,3706,3707,3708,1583,
        1257,3709,3710,3711,3712,3713,3714,3715,3716,1584,3717,3718,3719,3720,3721,3722,
        3723,3724,3725,3726,3727,3728,3729,3730,3731,3732,3733,3734,3735,3736,3737,3738,
        3739,3740,3741,3742,3743,3744,3745,1344,3746,3747,3748,3749,3750,3751,3752,3753,
        3754,3755,3756,1585,3757,3758,3759,3760,3761,3762,3763,3764,3765,3766,1586,3767,
        3768,3769,3770,3771,3772,3773,3774,3775,3776,3777,3778,1345,3779,3780,3781,3782,
        3783,3784,3785,3786,3787,3788,3789,3790,3791,3792,3793,3794,3795,1346,1587,3796,
        3797,1588,3798,3799,3800,3801,3802,3803,3804,3805,3806,1347,3807,3808,3809,3810,
        3811,1589,3812,3813,3814,3815,3816,3817,3818,3819,3820,3821,1590,3822,3823,1591,
        1348,3824,3825,3826,3827,3828,3829,3830,1592,3831,3832,1593,3833,3834,3835,3836,
        3837,3838,3839,3840,3841,3842,3843,3844,1349,3845,3846,3847,3848,3849,3850,3851,
        3852,3853,3854,3855,3856,3857,3858,1594,3859,3860,3861,3862,3863,3864,3865,3866,
        3867,3868,3869,1595,3870,3871,3872,3873,1596,3874,3875,3876,3877,3878,3879,3880,
        3881,3882,3883,3884,3885,3886,1597,3887,3888,3889,3890,3891,3892,3893,3894,3895,
        1598,3896,3897,3898,1599,1600,3899,1350,3900,1351,3901,3902,1352,3903,3904,3905,
        3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3918,3919,3920,3921,
        3922,3923,3924,1258,3925,3926,3927,3928,3929,3930,3931,1193,3932,1601,3933,3934,
        3935,3936,3937,3938,3939,3940,3941,3942,3943,1602,3944,3945,3946,3947,3948,1603,
        3949,3950,3951,3952,3953,3954,3955,3956,3957,3958,3959,3960,3961,3962,3963,3964,
        3965,1604,3966,3967,3968,3969,3970,3971,3972,3973,3974,3975,3976,3977,1353,3978,
        3979,3980,3981,3982,3983,3984,3985,3986,3987,3988,3989,3990,3991,1354,3992,3993,
        3994,3995,3996,3997,3998,3999,4000,4001,4002,4003,4004,4005,4006,4007,4008,4009,
        4010,4011,4012,4013,4014,4015,4016,4017,4018,4019,4020,4021,4022,4023,1355,4024,
        4025,4026,4027,4028,4029,4030,4031,4032,4033,4034,4035,4036,4037,4038,4039,4040,
        1605,4041,4042,4043,4044,4045,4046,4047,4048,4049,4050,4051,4052,4053,4054,4055,
        4056,4057,4058,4059,4060,1606,4061,4062,4063,4064,1607,4065,4066,4067,4068,4069,
        4070,4071,4072,4073,4074,4075,4076,1194,4077,4078,1608,4079,4080,4081,4082,4083,
        4084,4085,4086,4087,1609,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,
        4099,4100,4101,4102,4103,4104,4105,4106,4107,4108,1259,4109,4110,4111,4112,4113,
        4114,4115,4116,4117,4118,4119,4120,4121,4122,4123,4124,1195,4125,4126,4127,1610,
        4128,4129,4130,4131,4132,4133,4134,4135,4136,4137,1356,4138,4139,4140,4141,4142,
        4143,4144,1611,4145,4146,4147,4148,4149,4150,4151,4152,4153,4154,4155,4156,4157,
        4158,4159,4160,4161,4162,4163,4164,4165,4166,4167,4168,4169,4170,4171,4172,4173,
        4174,4175,4176,4177,4178,4179,4180,4181,4182,4183,4184,4185,4186,4187,4188,4189,
        4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4204,4205,
        4206,4207,4208,4209,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,1612,4220,
        4221,4222,4223,4224,4225,4226,4227,1357,4228,1613,4229,4230,4231,4232,4233,4234,
        4235,4236,4237,4238,4239,4240,4241,4242,4243,1614,4244,4245,4246,4247,4248,4249,
        4250,4251,4252,4253,4254,4255,4256,4257,4258,4259,4260,4261,4262,4263,4264,4265,
        4266,4267,4268,4269,4270,1196,1358,4271,4272,4273,4274,4275,4276,4277,4278,4279,
        4280,4281,4282,4283,4284,4285,4286,4287,1615,4288,4289,4290,4291,4292,4293,4294,
        4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4305,4306,4307,4308,4309,4310,
        4311,4312,4313,4314,4315,4316,4317,4318,4319,4320,4321,4322,4323,4324,4325,4326,
        4327,4328,4329,4330,4331,4332,4333,4334,1616,4335,4336,4337,4338,4339,4340,4341,
        4342,4343,4344,4345,4346,4347,4348,4349,4350,4351,4352,4353,4354,4355,4356,4357,
        4358,4359,4360,1617,4361,4362,4363,4364,4365,1618,4366,4367,4368,4369,4370,4371,
        4372,4373,4374,4375,4376,4377,4378,4379,4380,4381,4382,4383,4384,4385,4386,4387,
        4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,4401,4402,4403,
        4404,4405,4406,4407,4408,4409,4410,4411,4412,4413,4414,4415,4416,1619,4417,4418,
        4419,4420,4421,4422,4423,4424,4425,1112,4426,4427,4428,4429,4430,1620,4431,4432,
        4433,4434,4435,4436,4437,4438,4439,4440,4441,4442,1260,1261,4443,4444,4445,4446,
        4447,4448,4449,4450,4451,4452,4453,4454,4455,1359,4456,4457,4458,4459,4460,4461,
        4462,4463,4464,4465,1621,4466,4467,4468,4469,4470,4471,4472,4473,4474,4475,4476,
        4477,4478,4479,4480,4481,4482,4483,4484,4485,4486,4487,4488,4489,1055,4490,4491,
        4492,4493,4494,4495,4496,4497,4498,4499,4500,4501,4502,4503,4504,4505,4506,4507,
        4508,4509,4510,4511,4512,4513,4514,4515,4516,4517,4518,1622,4519,4520,4521,1623,
        4522,4523,4524,4525,4526,4527,4528,4529,4530,4531,4532,4533,4534,4535,1360,4536,
        4537,4538,4539,4540,4541,4542,4543, 975,4544,4545,4546,4547,4548,4549,4550,4551,
        4552,4553,4554,4555,4556,4557,4558,4559,4560,4561,4562,4563,4564,4565,4566,4567,
        4568,4569,4570,4571,1624,4572,4573,4574,4575,4576,1625,4577,4578,4579,4580,4581,
        4582,4583,4584,1626,4585,4586,4587,4588,4589,4590,4591,4592,4593,4594,4595,1627,
        4596,4597,4598,4599,4600,4601,4602,4603,4604,4605,4606,4607,4608,4609,4610,4611,
        4612,4613,4614,4615,1628,4616,4617,4618,4619,4620,4621,4622,4623,4624,4625,4626,
        4627,4628,4629,4630,4631,4632,4633,4634,4635,4636,4637,4638,4639,4640,4641,4642,
        4643,4644,4645,4646,4647,4648,4649,1361,4650,4651,4652,4653,4654,4655,4656,4657,
        4658,4659,4660,4661,1362,4662,4663,4664,4665,4666,4667,4668,4669,4670,4671,4672,
        4673,4674,4675,4676,4677,4678,4679,4680,4681,4682,1629,4683,4684,4685,4686,4687,
        1630,4688,4689,4690,4691,1153,4692,4693,4694,1113,4695,4696,4697,4698,4699,4700,
        4701,4702,4703,4704,4705,4706,4707,4708,4709,4710,4711,1197,4712,4713,4714,4715,
        4716,4717,4718,4719,4720,4721,4722,4723,4724,4725,4726,4727,4728,4729,4730,4731,
        4732,4733,4734,4735,1631,4736,1632,4737,4738,4739,4740,4741,4742,4743,4744,1633,
        4745,4746,4747,4748,4749,1262,4750,4751,4752,4753,4754,1363,4755,4756,4757,4758,
        4759,4760,4761,4762,4763,4764,4765,4766,4767,4768,1634,4769,4770,4771,4772,4773,
        4774,4775,4776,4777,4778,1635,4779,4780,4781,4782,4783,4784,4785,4786,4787,4788,
        4789,1636,4790,4791,4792,4793,4794,4795,4796,4797,4798,4799,4800,4801,4802,4803,
        4804,4805,4806,1637,4807,4808,4809,1638,4810,4811,4812,4813,4814,4815,4816,4817,
        4818,1639,4819,4820,4821,4822,4823,4824,4825,4826,4827,4828,4829,4830,4831,4832,
        4833,1077,4834,4835,4836,4837,4838,4839,4840,4841,4842,4843,4844,4845,4846,4847,
        4848,4849,4850,4851,4852,4853,4854,4855,4856,4857,4858,4859,4860,4861,4862,4863,
        4864,4865,4866,4867,4868,4869,4870,4871,4872,4873,4874,4875,4876,4877,4878,4879,
        4880,4881,4882,4883,1640,4884,4885,1641,4886,4887,4888,4889,4890,4891,4892,4893,
        4894,4895,4896,4897,4898,4899,4900,4901,4902,4903,4904,4905,4906,4907,4908,4909,
        4910,4911,1642,4912,4913,4914,1364,4915,4916,4917,4918,4919,4920,4921,4922,4923,
        4924,4925,4926,4927,4928,4929,4930,4931,1643,4932,4933,4934,4935,4936,4937,4938,
        4939,4940,4941,4942,4943,4944,4945,4946,4947,4948,4949,4950,4951,4952,4953,4954,
        4955,4956,4957,4958,4959,4960,4961,4962,4963,4964,4965,4966,4967,4968,4969,4970,
        4971,4972,4973,4974,4975,4976,4977,4978,4979,4980,1644,4981,4982,4983,4984,1645,
        4985,4986,1646,4987,4988,4989,4990,4991,4992,4993,4994,4995,4996,4997,4998,4999,
        5000,5001,5002,5003,5004,5005,1647,5006,1648,5007,5008,5009,5010,5011,5012,1078,
        5013,5014,5015,5016,5017,5018,5019,5020,5021,5022,5023,5024,5025,5026,5027,5028,
        1365,5029,5030,5031,5032,5033,5034,5035,5036,5037,5038,5039,1649,5040,5041,5042,
        5043,5044,5045,1366,5046,5047,5048,5049,5050,5051,5052,5053,5054,5055,1650,5056,
        5057,5058,5059,5060,5061,5062,5063,5064,5065,5066,5067,5068,5069,5070,5071,5072,
        5073,5074,5075,5076,5077,1651,5078,5079,5080,5081,5082,5083,5084,5085,5086,5087,
        5088,5089,5090,5091,5092,5093,5094,5095,5096,5097,5098,5099,5100,5101,5102,5103,
        5104,5105,5106,5107,5108,5109,5110,1652,5111,5112,5113,5114,5115,5116,5117,5118,
        1367,5119,5120,5121,5122,5123,5124,5125,5126,5127,5128,5129,1653,5130,5131,5132,
        5133,5134,5135,5136,5137,5138,5139,5140,5141,5142,5143,5144,5145,5146,5147,5148,
        5149,1368,5150,1654,5151,1369,5152,5153,5154,5155,5156,5157,5158,5159,5160,5161,
        5162,5163,5164,5165,5166,5167,5168,5169,5170,5171,5172,5173,5174,5175,5176,5177,
        5178,1370,5179,5180,5181,5182,5183,5184,5185,5186,5187,5188,5189,5190,5191,5192,
        5193,5194,5195,5196,5197,5198,1655,5199,5200,5201,5202,1656,5203,5204,5205,5206,
        1371,5207,1372,5208,5209,5210,5211,1373,5212,5213,1374,5214,5215,5216,5217,5218,
        5219,5220,5221,5222,5223,5224,5225,5226,5227,5228,5229,5230,5231,5232,5233,5234,
        5235,5236,5237,5238,5239,5240,5241,5242,5243,5244,5245,5246,5247,1657,5248,5249,
        5250,5251,1658,1263,5252,5253,5254,5255,5256,1375,5257,5258,5259,5260,5261,5262,
        5263,5264,5265,5266,5267,5268,5269,5270,5271,5272,5273,5274,5275,5276,5277,5278,
        5279,5280,5281,5282,5283,1659,5284,5285,5286,5287,5288,5289,5290,5291,5292,5293,
        5294,5295,5296,5297,5298,5299,5300,1660,5301,5302,5303,5304,5305,5306,5307,5308,
        5309,5310,5311,5312,5313,5314,5315,5316,5317,5318,5319,5320,5321,1376,5322,5323,
        5324,5325,5326,5327,5328,5329,5330,5331,5332,5333,1198,5334,5335,5336,5337,5338,
        5339,5340,5341,5342,5343,1661,5344,5345,5346,5347,5348,5349,5350,5351,5352,5353,
        5354,5355,5356,5357,5358,5359,5360,5361,5362,5363,5364,5365,5366,5367,5368,5369,
        5370,5371,5372,5373,5374,5375,5376,5377,5378,5379,5380,5381,5382,5383,5384,5385,
        5386,5387,5388,5389,5390,5391,5392,5393,5394,5395,5396,5397,5398,1264,5399,5400,
        5401,5402,5403,5404,5405,5406,5407,5408,5409,5410,5411,5412,1662,5413,5414,5415,
        5416,1663,5417,5418,5419,5420,5421,5422,5423,5424,5425,5426,5427,5428,5429,5430,
        5431,5432,5433,5434,5435,5436,5437,5438,1664,5439,5440,5441,5442,5443,5444,5445,
        5446,5447,5448,5449,5450,5451,5452,5453,5454,5455,5456,5457,5458,5459,5460,5461,
        5462,5463,5464,5465,5466,5467,5468,5469,5470,5471,5472,5473,5474,5475,5476,5477,
        5478,1154,5479,5480,5481,5482,5483,5484,5485,1665,5486,5487,5488,5489,5490,5491,
        5492,5493,5494,5495,5496,5497,5498,5499,5500,5501,5502,5503,5504,5505,5506,5507,
        5508,5509,5510,5511,5512,5513,5514,5515,5516,5517,5518,5519,5520,5521,5522,5523,
        5524,5525,5526,5527,5528,5529,5530,5531,5532,5533,5534,5535,5536,5537,5538,5539,
        5540,5541,5542,5543,5544,5545,5546,5547,5548,1377,5549,5550,5551,5552,5553,5554,
        5555,5556,5557,5558,5559,5560,5561,5562,5563,5564,5565,5566,5567,5568,5569,5570,
        1114,5571,5572,5573,5574,5575,5576,5577,5578,5579,5580,5581,5582,5583,5584,5585,
        5586,5587,5588,5589,5590,5591,5592,1378,5593,5594,5595,5596,5597,5598,5599,5600,
        5601,5602,5603,5604,5605,5606,5607,5608,5609,5610,5611,5612,5613,5614,1379,5615,
        5616,5617,5618,5619,5620,5621,5622,5623,5624,5625,5626,5627,5628,5629,5630,5631,
        5632,5633,5634,1380,5635,5636,5637,5638,5639,5640,5641,5642,5643,5644,5645,5646,
        5647,5648,5649,1381,1056,5650,5651,5652,5653,5654,5655,5656,5657,5658,5659,5660,
        1666,5661,5662,5663,5664,5665,5666,5667,5668,1667,5669,1668,5670,5671,5672,5673,
        5674,5675,5676,5677,5678,1155,5679,5680,5681,5682,5683,5684,5685,5686,5687,5688,
        5689,5690,5691,5692,5693,5694,5695,5696,5697,5698,1669,5699,5700,5701,5702,5703,
        5704,5705,1670,5706,5707,5708,5709,5710,1671,5711,5712,5713,5714,1382,5715,5716,
        5717,5718,5719,5720,5721,5722,5723,5724,5725,1672,5726,5727,1673,1674,5728,5729,
        5730,5731,5732,5733,5734,5735,5736,1675,5737,5738,5739,5740,5741,5742,5743,5744,
        1676,5745,5746,5747,5748,5749,5750,5751,1383,5752,5753,5754,5755,5756,5757,5758,
        5759,5760,5761,5762,5763,5764,5765,5766,5767,5768,1677,5769,5770,5771,5772,5773,
        1678,5774,5775,5776, 998,5777,5778,5779,5780,5781,5782,5783,5784,5785,1384,5786,
        5787,5788,5789,5790,5791,5792,5793,5794,5795,5796,5797,5798,5799,5800,1679,5801,
        5802,5803,1115,1116,5804,5805,5806,5807,5808,5809,5810,5811,5812,5813,5814,5815,
        5816,5817,5818,5819,5820,5821,5822,5823,5824,5825,5826,5827,5828,5829,5830,5831,
        5832,5833,5834,5835,5836,5837,5838,5839,5840,5841,5842,5843,5844,5845,5846,5847,
        5848,5849,5850,5851,5852,5853,5854,5855,1680,5856,5857,5858,5859,5860,5861,5862,
        5863,5864,1681,5865,5866,5867,1682,5868,5869,5870,5871,5872,5873,5874,5875,5876,
        5877,5878,5879,1683,5880,1684,5881,5882,5883,5884,1685,5885,5886,5887,5888,5889,
        5890,5891,5892,5893,5894,5895,5896,5897,5898,5899,5900,5901,5902,5903,5904,5905,
        5906,5907,1686,5908,5909,5910,5911,5912,5913,5914,5915,5916,5917,5918,5919,5920,
        5921,5922,5923,5924,5925,5926,5927,5928,5929,5930,5931,5932,5933,5934,5935,1687,
        5936,5937,5938,5939,5940,5941,5942,5943,5944,5945,5946,5947,5948,5949,5950,5951,
        5952,1688,1689,5953,1199,5954,5955,5956,5957,5958,5959,5960,5961,1690,5962,5963,
        5964,5965,5966,5967,5968,5969,5970,5971,5972,5973,5974,5975,5976,5977,5978,5979,
        5980,5981,1385,5982,1386,5983,5984,5985,5986,5987,5988,5989,5990,5991,5992,5993,
        5994,5995,5996,5997,5998,5999,6000,6001,6002,6003,6004,6005,6006,6007,6008,6009,
        6010,6011,6012,6013,6014,6015,6016,6017,6018,6019,6020,6021,6022,6023,6024,6025,
        6026,6027,1265,6028,6029,1691,6030,6031,6032,6033,6034,6035,6036,6037,6038,6039,
        6040,6041,6042,6043,6044,6045,6046,6047,6048,6049,6050,6051,6052,6053,6054,6055,
        6056,6057,6058,6059,6060,6061,6062,6063,6064,6065,6066,6067,6068,6069,6070,6071,
        6072,6073,6074,6075,6076,6077,6078,6079,6080,6081,6082,6083,6084,1692,6085,6086,
        6087,6088,6089,6090,6091,6092,6093,6094,6095,6096,6097,6098,6099,6100,6101,6102,
        6103,6104,6105,6106,6107,6108,6109,6110,6111,6112,6113,6114,6115,6116,6117,6118,
        6119,6120,6121,6122,6123,6124,6125,6126,6127,6128,6129,6130,6131,1693,6132,6133,
        6134,6135,6136,1694,6137,6138,6139,6140,6141,1695,6142,6143,6144,6145,6146,6147,
        6148,6149,6150,6151,6152,6153,6154,6155,6156,6157,6158,6159,6160,6161,6162,6163,
        6164,6165,6166,6167,6168,6169,6170,6171,6172,6173,6174,6175,6176,6177,6178,6179,
        6180,6181,6182,6183,6184,6185,1696,6186,6187,6188,6189,6190,6191,6192,6193,6194,
        6195,6196,6197,6198,6199,6200,6201,6202,6203,6204,6205,6206,6207,6208,6209,6210,
        6211,6212,6213,6214,6215,6216,6217,6218,6219,1697,6220,6221,6222,6223,6224,6225,
        6226,6227,6228,6229,6230,6231,6232,6233,6234,6235,6236,6237,6238,6239,6240,6241,
        6242,6243,6244,6245,6246,6247,6248,6249,6250,6251,6252,6253,1698,6254,6255,6256,
        6257,6258,6259,6260,6261,6262,6263,1200,6264,6265,6266,6267,6268,6269,6270,6271,  //1024
        6272,6273,6274,6275,6276,6277,6278,6279,6280,6281,6282,6283,6284,6285,6286,6287,
        6288,6289,6290,6291,6292,6293,6294,6295,6296,6297,6298,6299,6300,6301,6302,1699,
        6303,6304,1700,6305,6306,6307,6308,6309,6310,6311,6312,6313,6314,6315,6316,6317,
        6318,6319,6320,6321,6322,6323,6324,6325,6326,6327,6328,6329,6330,6331,6332,6333,
        6334,6335,6336,6337,6338,6339,1701,6340,6341,6342,6343,6344,1387,6345,6346,6347,
        6348,6349,6350,6351,6352,6353,6354,6355,6356,6357,6358,6359,6360,6361,6362,6363,
        6364,6365,6366,6367,6368,6369,6370,6371,6372,6373,6374,6375,6376,6377,6378,6379,
        6380,6381,6382,6383,6384,6385,6386,6387,6388,6389,6390,6391,6392,6393,6394,6395,
        6396,6397,6398,6399,6400,6401,6402,6403,6404,6405,6406,6407,6408,6409,6410,6411,
        6412,6413,1702,6414,6415,6416,6417,6418,6419,6420,6421,6422,1703,6423,6424,6425,
        6426,6427,6428,6429,6430,6431,6432,6433,6434,6435,6436,6437,6438,1704,6439,6440,
        6441,6442,6443,6444,6445,6446,6447,6448,6449,6450,6451,6452,6453,6454,6455,6456,
        6457,6458,6459,6460,6461,6462,6463,6464,6465,6466,6467,6468,6469,6470,6471,6472,
        6473,6474,6475,6476,6477,6478,6479,6480,6481,6482,6483,6484,6485,6486,6487,6488,
        6489,6490,6491,6492,6493,6494,6495,6496,6497,6498,6499,6500,6501,6502,6503,1266,
        6504,6505,6506,6507,6508,6509,6510,6511,6512,6513,6514,6515,6516,6517,6518,6519,
        6520,6521,6522,6523,6524,6525,6526,6527,6528,6529,6530,6531,6532,6533,6534,6535,
        6536,6537,6538,6539,6540,6541,6542,6543,6544,6545,6546,6547,6548,6549,6550,6551,
        1705,1706,6552,6553,6554,6555,6556,6557,6558,6559,6560,6561,6562,6563,6564,6565,
        6566,6567,6568,6569,6570,6571,6572,6573,6574,6575,6576,6577,6578,6579,6580,6581,
        6582,6583,6584,6585,6586,6587,6588,6589,6590,6591,6592,6593,6594,6595,6596,6597,
        6598,6599,6600,6601,6602,6603,6604,6605,6606,6607,6608,6609,6610,6611,6612,6613,
        6614,6615,6616,6617,6618,6619,6620,6621,6622,6623,6624,6625,6626,6627,6628,6629,
        6630,6631,6632,6633,6634,6635,6636,6637,1388,6638,6639,6640,6641,6642,6643,6644,
        1707,6645,6646,6647,6648,6649,6650,6651,6652,6653,6654,6655,6656,6657,6658,6659,
        6660,6661,6662,6663,1708,6664,6665,6666,6667,6668,6669,6670,6671,6672,6673,6674,
        1201,6675,6676,6677,6678,6679,6680,6681,6682,6683,6684,6685,6686,6687,6688,6689,
        6690,6691,6692,6693,6694,6695,6696,6697,6698,6699,6700,6701,6702,6703,6704,6705,
        6706,6707,6708,6709,6710,6711,6712,6713,6714,6715,6716,6717,6718,6719,6720,6721,
        6722,6723,6724,6725,1389,6726,6727,6728,6729,6730,6731,6732,6733,6734,6735,6736,
        1390,1709,6737,6738,6739,6740,6741,6742,1710,6743,6744,6745,6746,1391,6747,6748,
        6749,6750,6751,6752,6753,6754,6755,6756,6757,1392,6758,6759,6760,6761,6762,6763,
        6764,6765,6766,6767,6768,6769,6770,6771,6772,6773,6774,6775,6776,6777,6778,6779,
        6780,1202,6781,6782,6783,6784,6785,6786,6787,6788,6789,6790,6791,6792,6793,6794,
        6795,6796,6797,6798,6799,6800,6801,6802,6803,6804,6805,6806,6807,6808,6809,1711,
        6810,6811,6812,6813,6814,6815,6816,6817,6818,6819,6820,6821,6822,6823,6824,6825,
        6826,6827,6828,6829,6830,6831,6832,6833,6834,6835,6836,1393,6837,6838,6839,6840,
        6841,6842,6843,6844,6845,6846,6847,6848,6849,6850,6851,6852,6853,6854,6855,6856,
        6857,6858,6859,6860,6861,6862,6863,6864,6865,6866,6867,6868,6869,6870,6871,6872,
        6873,6874,6875,6876,6877,6878,6879,6880,6881,6882,6883,6884,6885,6886,6887,6888,
        6889,6890,6891,6892,6893,6894,6895,6896,6897,6898,6899,6900,6901,6902,1712,6903,
        6904,6905,6906,6907,6908,6909,6910,1713,6911,6912,6913,6914,6915,6916,6917,6918,
        6919,6920,6921,6922,6923,6924,6925,6926,6927,6928,6929,6930,6931,6932,6933,6934,
        6935,6936,6937,6938,6939,6940,6941,6942,6943,6944,6945,6946,6947,6948,6949,6950,
        6951,6952,6953,6954,6955,6956,6957,6958,6959,6960,6961,6962,6963,6964,6965,6966,
        6967,6968,6969,6970,6971,6972,6973,6974,1714,6975,6976,6977,6978,6979,6980,6981,
        6982,6983,6984,6985,6986,6987,6988,1394,6989,6990,6991,6992,6993,6994,6995,6996,
        6997,6998,6999,7000,1715,7001,7002,7003,7004,7005,7006,7007,7008,7009,7010,7011,
        7012,7013,7014,7015,7016,7017,7018,7019,7020,7021,7022,7023,7024,7025,7026,7027,
        7028,1716,7029,7030,7031,7032,7033,7034,7035,7036,7037,7038,7039,7040,7041,7042,
        7043,7044,7045,7046,7047,7048,7049,7050,7051,7052,7053,7054,7055,7056,7057,7058,
        7059,7060,7061,7062,7063,7064,7065,7066,7067,7068,7069,7070,7071,7072,7073,7074,
        7075,7076,7077,7078,7079,7080,7081,7082,7083,7084,7085,7086,7087,7088,7089,7090,
        7091,7092,7093,7094,7095,7096,7097,7098,7099,7100,7101,7102,7103,7104,7105,7106,
        7107,7108,7109,7110,7111,7112,7113,7114,7115,7116,7117,7118,7119,7120,7121,7122,
        7123,7124,7125,7126,7127,7128,7129,7130,7131,7132,7133,7134,7135,7136,7137,7138,
        7139,7140,7141,7142,7143,7144,7145,7146,7147,7148,7149,7150,7151,7152,7153,7154,
        7155,7156,7157,7158,7159,7160,7161,7162,7163,7164,7165,7166,7167,7168,7169,7170,
        7171,7172,7173,7174,7175,7176,7177,7178,7179,7180,7181,7182,7183,7184,7185,7186,
        7187,7188,7189,7190,7191,7192,7193,7194,7195,7196,7197,7198,7199,7200,7201,7202,
        7203,7204,7205,7206,7207,1395,7208,7209,7210,7211,7212,7213,1717,7214,7215,7216,
        7217,7218,7219,7220,7221,7222,7223,7224,7225,7226,7227,7228,7229,7230,7231,7232,
        7233,7234,7235,7236,7237,7238,7239,7240,7241,7242,7243,7244,7245,7246,7247,7248,
        7249,7250,7251,7252,7253,7254,7255,7256,7257,7258,7259,7260,7261,7262,7263,7264,
        7265,7266,7267,7268,7269,7270,7271,7272,7273,7274,7275,7276,7277,7278,7279,7280,
        7281,7282,7283,7284,7285,7286,7287,7288,7289,7290,7291,7292,7293,7294,7295,7296,
        7297,7298,7299,7300,7301,7302,7303,7304,7305,7306,7307,7308,7309,7310,7311,7312,
        7313,1718,7314,7315,7316,7317,7318,7319,7320,7321,7322,7323,7324,7325,7326,7327,
        7328,7329,7330,7331,7332,7333,7334,7335,7336,7337,7338,7339,7340,7341,7342,7343,
        7344,7345,7346,7347,7348,7349,7350,7351,7352,7353,7354,7355,7356,7357,7358,7359,
        7360,7361,7362,7363,7364,7365,7366,7367,7368,7369,7370,7371,7372,7373,7374,7375,
        7376,7377,7378,7379,7380,7381,7382,7383,7384,7385,7386,7387,7388,7389,7390,7391,
        7392,7393,7394,7395,7396,7397,7398,7399,7400,7401,7402,7403,7404,7405,7406,7407,
        7408,7409,7410,7411,7412,7413,7414,7415,7416,7417,7418,7419,7420,7421,7422,7423,
        7424,7425,7426,7427,7428,7429,7430,7431,7432,7433,7434,7435,7436,7437,7438,7439,
        7440,7441,7442,7443,7444,7445,7446,7447,7448,7449,7450,7451,7452,7453,7454,7455,
        7456,7457,7458,7459,7460,7461,7462,7463,7464,7465,7466,7467,7468,7469,7470,7471,
        7472,7473,7474,7475,7476,7477,7478,7479,7480,7481,7482,7483,7484,7485,7486,7487,
        7488,7489,7490,7491,7492,7493,7494,7495,7496,7497,7498,7499,7500,7501,7502,7503,
        7504,7505,7506,7507,7508,7509,7510,7511,7512,7513,7514,7515,7516,7517,7518,7519,
        7520,7521,7522,7523,7524,7525,7526,7527,7528,7529,7530,7531,7532,7533,7534,7535,
        7536,7537,7538,7539,7540,7541,7542,7543,7544,7545,7546,7547,7548,7549,7550,7551,
        7552,7553,7554,7555,7556,7557,7558,7559,7560,7561,7562,7563,7564,7565,7566,7567,
        7568,7569,7570,7571,7572,7573,7574,7575,7576,7577,7578,7579,7580,7581,7582,7583,
        7584,7585,7586,7587,7588,7589,7590,7591,7592,7593,7594,7595,7596,7597,7598,7599,
        7600,7601,7602,7603,7604,7605,7606,7607,7608,7609,7610,7611,7612,7613,7614,7615,
        7616,7617,7618,7619,7620,7621,7622,7623,7624,7625,7626,7627,7628,7629,7630,7631,
        7632,7633,7634,7635,7636,7637,7638,7639,7640,7641,7642,7643,7644,7645,7646,7647,
        7648,7649,7650,7651,7652,7653,7654,7655,7656,7657,7658,7659,7660,7661,7662,7663,
        7664,7665,7666,7667,7668,7669,7670,7671,7672,7673,7674,7675,7676,7677,7678,7679,
        7680,7681,7682,7683,7684,7685,7686,7687,7688,7689,7690,7691,7692,7693,7694,7695,
        7696,7697,7698,7699,7700,7701,7702,7703,7704,7705,7706,7707,7708,7709,7710,7711,
        7712,7713,7714,7715,7716,7717,7718,7719,7720,7721,7722,7723,7724,7725,7726,7727,
        7728,7729,7730,7731,7732,7733,7734,7735,7736,7737,7738,7739,7740,7741,7742,7743,
        7744,7745,7746,7747,7748,7749,7750,7751,7752,7753,7754,7755,7756,7757,7758,7759,
        7760,7761,7762,7763,7764,7765,7766,7767,7768,7769,7770,7771,7772,7773,7774,7775,
        7776,7777,7778,7779,7780,7781,7782,7783,7784,7785,7786,7787,7788,7789,7790,7791,
        7792,7793,7794,7795,7796,7797,7798,7799,7800,7801,7802,7803,7804,7805,7806,7807,
        7808,7809,7810,7811,7812,7813,7814,7815,7816,7817,7818,7819,7820,7821,7822,7823,
        7824,7825,7826,7827,7828,7829,7830,7831,7832,7833,7834,7835,7836,7837,7838,7839,
        7840,7841,7842,7843,7844,7845,7846,7847,7848,7849,7850,7851,7852,7853,7854,7855,
        7856,7857,7858,7859,7860,7861,7862,7863,7864,7865,7866,7867,7868,7869,7870,7871,
        7872,7873,7874,7875,7876,7877,7878,7879,7880,7881,7882,7883,7884,7885,7886,7887,
        7888,7889,7890,7891,7892,7893,7894,7895,7896,7897,7898,7899,7900,7901,7902,7903,
        7904,7905,7906,7907,7908,7909,7910,7911,7912,7913,7914,7915,7916,7917,7918,7919,
        7920,7921,7922,7923,7924,7925,7926,7927,7928,7929,7930,7931,7932,7933,7934,7935,
        7936,7937,7938,7939,7940,7941,7942,7943,7944,7945,7946,7947,7948,7949,7950,7951,
        7952,7953,7954,7955,7956,7957,7958,7959,7960,7961,7962,7963,7964,7965,7966,7967,
        7968,7969,7970,7971,7972,7973,7974,7975,7976,7977,7978,7979,7980,7981,7982,7983,
        7984,7985,7986,7987,7988,7989,7990,7991,7992,7993,7994,7995,7996,7997,7998,7999,
        8000,8001,8002,8003,8004,8005,8006,8007,8008,8009,8010,8011,8012,8013,8014,8015,
        8016,8017,8018,8019,8020,8021,8022,8023,8024,8025,8026,8027,8028,8029,8030,8031,
        8032,8033,8034,8035,8036,8037,8038,8039,8040,8041,8042,8043,8044,8045,8046,8047,
        8048,8049,8050,8051,8052,8053,8054,8055,8056,8057,8058,8059,8060,8061,8062,8063,
        8064,8065,8066,8067,8068,8069,8070,8071,8072,8073,8074,8075,8076,8077,8078,8079,
        8080,8081,8082,8083,8084,8085,8086,8087,8088,8089,8090,8091,8092,8093,8094,8095,
        8096,8097,8098,8099,8100,8101,8102,8103,8104,8105,8106,8107,8108,8109,8110,8111,
        8112,8113,8114,8115,8116,8117,8118,8119,8120,8121,8122,8123,8124,8125,8126,8127,
        8128,8129,8130,8131,8132,8133,8134,8135,8136,8137,8138,8139,8140,8141,8142,8143,
        8144,8145,8146,8147,8148,8149,8150,8151,8152,8153,8154,8155,8156,8157,8158,8159,
        8160,8161,8162,8163,8164,8165,8166,8167,8168,8169,8170,8171,8172,8173,8174,8175,
        8176,8177,8178,8179,8180,8181,8182,8183,8184,8185,8186,8187,8188,8189,8190,8191,
        8192,8193,8194,8195,8196,8197,8198,8199,8200,8201,8202,8203,8204,8205,8206,8207,
        8208,8209,8210,8211,8212,8213,8214,8215,8216,8217,8218,8219,8220,8221,8222,8223,
        8224,8225,8226,8227,8228,8229,8230,8231,8232,8233,8234,8235,8236,8237,8238,8239,
        8240,8241,8242,8243,8244,8245,8246,8247,8248,8249,8250,8251,8252,8253,8254,8255,
        8256,8257,8258,8259,8260,8261,8262,8263,8264,8265,8266,8267,8268,8269,8270,8271,
        8272,8273,8274,8275,8276,8277,8278,8279,8280,8281,8282,8283,8284,8285,8286,8287,
        8288,8289,8290,8291,8292,8293,8294,8295,8296,8297,8298,8299,8300,8301,8302,8303,
        8304,8305,8306,8307,8308,8309,8310,8311,8312,8313,8314,8315,8316,8317,8318,8319,
        8320,8321,8322,8323,8324,8325,8326,8327,8328,8329,8330,8331,8332,8333,8334,8335,
        8336,8337,8338,8339,8340,8341,8342,8343,8344,8345,8346,8347,8348,8349,8350,8351,
        8352,8353,8354,8355,8356,8357,8358,8359,8360,8361,8362,8363,8364,8365,8366,8367,
        8368,8369,8370,8371,8372,8373,8374,8375,8376,8377,8378,8379,8380,8381,8382,8383,
        8384,8385,8386,8387,8388,8389,8390,8391,8392,8393,8394,8395,8396,8397,8398,8399,
        8400,8401,8402,8403,8404,8405,8406,8407,8408,8409,8410,8411,8412,8413,8414,8415,
        8416,8417,8418,8419,8420,8421,8422,8423,8424,8425,8426,8427,8428,8429,8430,8431,
        8432,8433,8434,8435,8436,8437,8438,8439,8440,8441,8442,8443,8444,8445,8446,8447,
        8448,8449,8450,8451,8452,8453,8454,8455,8456,8457,8458,8459,8460,8461,8462,8463,
        8464,8465,8466,8467,8468,8469,8470,8471,8472,8473,8474,8475,8476,8477,8478,8479,
        8480,8481,8482,8483,8484,8485,8486,8487,8488,8489,8490,8491,8492,8493,8494,8495,
        8496,8497,8498,8499,8500,8501,8502,8503,8504,8505,8506,8507,8508,8509,8510,8511,
        8512,8513,8514,8515,8516,8517,8518,8519,8520,8521,8522,8523,8524,8525,8526,8527,
        8528,8529,8530,8531,8532,8533,8534,8535,8536,8537,8538,8539,8540,8541,8542,8543,
        8544,8545,8546,8547,8548,8549,8550,8551,8552,8553,8554,8555,8556,8557,8558,8559,
        8560,8561,8562,8563,8564,8565,8566,8567,8568,8569,8570,8571,8572,8573,8574,8575,
        8576,8577,8578,8579,8580,8581,8582,8583,8584,8585,8586,8587,8588,8589,8590,8591,
        8592,8593,8594,8595,8596,8597,8598,8599,8600,8601,8602,8603,8604,8605,8606,8607,
        8608,8609,8610,8611,8612,8613,8614,8615,8616,8617,8618,8619,8620,8621,8622,8623,
        8624,8625,8626,8627,8628,8629,8630,8631,8632,8633,8634,8635,8636,8637,8638,8639,
        8640,8641,8642,8643,8644,8645,8646,8647,8648,8649,8650,8651,8652,8653,8654,8655,
        8656,8657,8658,8659,8660,8661,8662,8663,8664,8665,8666,8667,8668,8669,8670,8671,
        8672,8673,8674,8675,8676,8677,8678,8679,8680,8681,8682,8683,8684,8685,8686,8687,
        8688,8689,8690,8691,8692,8693,8694,8695,8696,8697,8698,8699,8700,8701,8702,8703,
        8704,8705,8706,8707,8708,8709,8710,8711,8712,8713,8714,8715,8716,8717,8718,8719,
        8720,8721,8722,8723,8724,8725,8726,8727,8728,8729,8730,8731,8732,8733,8734,8735,
        8736,8737,8738,8739,8740,8741 */ };
        
        public EUCKRDistributionAnalyser()
        {
            charToFreqOrder = EUCKR_CHAR2FREQ_ORDER;
            tableSize = EUCKR_TABLE_SIZE;
            typicalDistributionRatio = EUCKR_TYPICAL_DISTRIBUTION_RATIO;        
        }
        
        /// <summary>
        /// first  byte range: 0xb0 -- 0xfe
        ///  second byte range: 0xa1 -- 0xfe
        /// no validation needed here. State machine has done that
        /// </summary>
        public override int GetOrder(byte[] buf, int offset) 
        { 
            if (buf[offset] >= 0xB0)  
                return 94 * (buf[offset] - 0xB0) + buf[offset+1] - 0xA1;
            else
                return -1;
        }
    }
    
    public class BIG5DistributionAnalyser : CharDistributionAnalyser
    {
        // Big5 frequency table
        // by Taiwan's Mandarin Promotion Council 
        // <http://www.edu.tw:81/mandr/>
        /******************************************************************************
         * 128  --> 0.42261
         * 256  --> 0.57851
         * 512  --> 0.74851
         * 1024 --> 0.89384
         * 2048 --> 0.97583
         *
         * Idea Distribution Ratio = 0.74851/(1-0.74851) =2.98
         * Random Distribution Ration = 512/(5401-512)=0.105
         * 
         * Typical Distribution Ratio about 25% of Ideal one, still much higher than RDR
         *****************************************************************************/

        private static float BIG5_TYPICAL_DISTRIBUTION_RATIO = 0.75f;

        private static int BIG5_TABLE_SIZE = 5376;

        private static int[] BIG5_CHAR2FREQ_ORDER = {
           1,1801,1506, 255,1431, 198,   9,  82,   6,5008, 177, 202,3681,1256,2821, 110, //   16
        3814,  33,3274, 261,  76,  44,2114,  16,2946,2187,1176, 659,3971,  26,3451,2653, //   32
        1198,3972,3350,4202, 410,2215, 302, 590, 361,1964,   8, 204,  58,4510,5009,1932, //   48
          63,5010,5011, 317,1614,  75, 222, 159,4203,2417,1480,5012,3555,3091, 224,2822, //   64
        3682,   3,  10,3973,1471,  29,2787,1135,2866,1940, 873, 130,3275,1123, 312,5013, //   80
        4511,2052, 507, 252, 682,5014, 142,1915, 124, 206,2947,  34,3556,3204,  64, 604, //   96
        5015,2501,1977,1978, 155,1991, 645, 641,1606,5016,3452, 337,  72, 406,5017,  80, //  112
         630, 238,3205,1509, 263, 939,1092,2654, 756,1440,1094,3453, 449,  69,2987, 591, //  128
         179,2096, 471, 115,2035,1844,  60,  50,2988, 134, 806,1869, 734,2036,3454, 180, //  144
         995,1607, 156, 537,2907, 688,5018, 319,1305, 779,2145, 514,2379, 298,4512, 359, //  160
        2502,  90,2716,1338, 663,  11, 906,1099,2553,  20,2441, 182, 532,1716,5019, 732, //  176
        1376,4204,1311,1420,3206,  25,2317,1056, 113, 399, 382,1950, 242,3455,2474, 529, //  192
        3276, 475,1447,3683,5020, 117,  21, 656, 810,1297,2300,2334,3557,5021, 126,4205, //  208
         706, 456, 150, 613,4513,  71,1118,2037,4206, 145,3092,  85, 835, 486,2115,1246, //  224
        1426, 428, 727,1285,1015, 800, 106, 623, 303,1281,5022,2128,2359, 347,3815, 221, //  240
        3558,3135,5023,1956,1153,4207,  83, 296,1199,3093, 192, 624,  93,5024, 822,1898, //  256
        2823,3136, 795,2065, 991,1554,1542,1592,  27,  43,2867, 859, 139,1456, 860,4514, //  272
         437, 712,3974, 164,2397,3137, 695, 211,3037,2097, 195,3975,1608,3559,3560,3684, //  288
        3976, 234, 811,2989,2098,3977,2233,1441,3561,1615,2380, 668,2077,1638, 305, 228, //  304
        1664,4515, 467, 415,5025, 262,2099,1593, 239, 108, 300, 200,1033, 512,1247,2078, //  320
        5026,5027,2176,3207,3685,2682, 593, 845,1062,3277,  88,1723,2038,3978,1951, 212, //  336
         266, 152, 149, 468,1899,4208,4516,  77, 187,5028,3038,  37,   5,2990,5029,3979, //  352
        5030,5031,  39,2524,4517,2908,3208,2079,  55, 148,  74,4518, 545, 483,1474,1029, //  368
        1665, 217,1870,1531,3138,1104,2655,4209,  24, 172,3562, 900,3980,3563,3564,4519, //  384
          32,1408,2824,1312, 329, 487,2360,2251,2717, 784,2683,   4,3039,3351,1427,1789, //  400
         188, 109, 499,5032,3686,1717,1790, 888,1217,3040,4520,5033,3565,5034,3352,1520, //  416
        3687,3981, 196,1034, 775,5035,5036, 929,1816, 249, 439,  38,5037,1063,5038, 794, //  432
        3982,1435,2301,  46, 178,3278,2066,5039,2381,5040, 214,1709,4521, 804,  35, 707, //  448
         324,3688,1601,2554, 140, 459,4210,5041,5042,1365, 839, 272, 978,2262,2580,3456, //  464
        2129,1363,3689,1423, 697, 100,3094,  48,  70,1231, 495,3139,2196,5043,1294,5044, //  480
        2080, 462, 586,1042,3279, 853, 256, 988, 185,2382,3457,1698, 434,1084,5045,3458, //  496
         314,2625,2788,4522,2335,2336, 569,2285, 637,1817,2525, 757,1162,1879,1616,3459, //  512
         287,1577,2116, 768,4523,1671,2868,3566,2526,1321,3816, 909,2418,5046,4211, 933, //  528
        3817,4212,2053,2361,1222,4524, 765,2419,1322, 786,4525,5047,1920,1462,1677,2909, //  544
        1699,5048,4526,1424,2442,3140,3690,2600,3353,1775,1941,3460,3983,4213, 309,1369, //  560
        1130,2825, 364,2234,1653,1299,3984,3567,3985,3986,2656, 525,1085,3041, 902,2001, //  576
        1475, 964,4527, 421,1845,1415,1057,2286, 940,1364,3141, 376,4528,4529,1381,   7, //  592
        2527, 983,2383, 336,1710,2684,1846, 321,3461, 559,1131,3042,2752,1809,1132,1313, //  608
         265,1481,1858,5049, 352,1203,2826,3280, 167,1089, 420,2827, 776, 792,1724,3568, //  624
        4214,2443,3281,5050,4215,5051, 446, 229, 333,2753, 901,3818,1200,1557,4530,2657, //  640
        1921, 395,2754,2685,3819,4216,1836, 125, 916,3209,2626,4531,5052,5053,3820,5054, //  656
        5055,5056,4532,3142,3691,1133,2555,1757,3462,1510,2318,1409,3569,5057,2146, 438, //  672
        2601,2910,2384,3354,1068, 958,3043, 461, 311,2869,2686,4217,1916,3210,4218,1979, //  688
         383, 750,2755,2627,4219, 274, 539, 385,1278,1442,5058,1154,1965, 384, 561, 210, //  704
          98,1295,2556,3570,5059,1711,2420,1482,3463,3987,2911,1257, 129,5060,3821, 642, //  720
         523,2789,2790,2658,5061, 141,2235,1333,  68, 176, 441, 876, 907,4220, 603,2602, //  736
         710, 171,3464, 404, 549,  18,3143,2398,1410,3692,1666,5062,3571,4533,2912,4534, //  752
        5063,2991, 368,5064, 146, 366,  99, 871,3693,1543, 748, 807,1586,1185,  22,2263, //  768
         379,3822,3211,5065,3212, 505,1942,2628,1992,1382,2319,5066, 380,2362, 218, 702, //  784
        1818,1248,3465,3044,3572,3355,3282,5067,2992,3694, 930,3283,3823,5068,  59,5069, //  800
         585, 601,4221, 497,3466,1112,1314,4535,1802,5070,1223,1472,2177,5071, 749,1837, //  816
         690,1900,3824,1773,3988,1476, 429,1043,1791,2236,2117, 917,4222, 447,1086,1629, //  832
        5072, 556,5073,5074,2021,1654, 844,1090, 105, 550, 966,1758,2828,1008,1783, 686, //  848
        1095,5075,2287, 793,1602,5076,3573,2603,4536,4223,2948,2302,4537,3825, 980,2503, //  864
         544, 353, 527,4538, 908,2687,2913,5077, 381,2629,1943,1348,5078,1341,1252, 560, //  880
        3095,5079,3467,2870,5080,2054, 973, 886,2081, 143,4539,5081,5082, 157,3989, 496, //  896
        4224,  57, 840, 540,2039,4540,4541,3468,2118,1445, 970,2264,1748,1966,2082,4225, //  912
        3144,1234,1776,3284,2829,3695, 773,1206,2130,1066,2040,1326,3990,1738,1725,4226, //  928
         279,3145,  51,1544,2604, 423,1578,2131,2067, 173,4542,1880,5083,5084,1583, 264, //  944
         610,3696,4543,2444, 280, 154,5085,5086,5087,1739, 338,1282,3096, 693,2871,1411, //  960
        1074,3826,2445,5088,4544,5089,5090,1240, 952,2399,5091,2914,1538,2688, 685,1483, //  976
        4227,2475,1436, 953,4228,2055,4545, 671,2400,  79,4229,2446,3285, 608, 567,2689, //  992
        3469,4230,4231,1691, 393,1261,1792,2401,5092,4546,5093,5094,5095,5096,1383,1672, // 1008
        3827,3213,1464, 522,1119, 661,1150, 216, 675,4547,3991,1432,3574, 609,4548,2690, // 1024
        2402,5097,5098,5099,4232,3045,   0,5100,2476, 315, 231,2447, 301,3356,4549,2385, // 1040
        5101, 233,4233,3697,1819,4550,4551,5102,  96,1777,1315,2083,5103, 257,5104,1810, // 1056
        3698,2718,1139,1820,4234,2022,1124,2164,2791,1778,2659,5105,3097, 363,1655,3214, // 1072
        5106,2993,5107,5108,5109,3992,1567,3993, 718, 103,3215, 849,1443, 341,3357,2949, // 1088
        1484,5110,1712, 127,  67, 339,4235,2403, 679,1412, 821,5111,5112, 834, 738, 351, // 1104
        2994,2147, 846, 235,1497,1881, 418,1993,3828,2719, 186,1100,2148,2756,3575,1545, // 1120
        1355,2950,2872,1377, 583,3994,4236,2581,2995,5113,1298,3699,1078,2557,3700,2363, // 1136
          78,3829,3830, 267,1289,2100,2002,1594,4237, 348, 369,1274,2197,2178,1838,4552, // 1152
        1821,2830,3701,2757,2288,2003,4553,2951,2758, 144,3358, 882,4554,3995,2759,3470, // 1168
        4555,2915,5114,4238,1726, 320,5115,3996,3046, 788,2996,5116,2831,1774,1327,2873, // 1184
        3997,2832,5117,1306,4556,2004,1700,3831,3576,2364,2660, 787,2023, 506, 824,3702, // 1200
         534, 323,4557,1044,3359,2024,1901, 946,3471,5118,1779,1500,1678,5119,1882,4558, // 1216
         165, 243,4559,3703,2528, 123, 683,4239, 764,4560,  36,3998,1793, 589,2916, 816, // 1232
         626,1667,3047,2237,1639,1555,1622,3832,3999,5120,4000,2874,1370,1228,1933, 891, // 1248
        2084,2917, 304,4240,5121, 292,2997,2720,3577, 691,2101,4241,1115,4561, 118, 662, // 1264
        5122, 611,1156, 854,2386,1316,2875,   2, 386, 515,2918,5123,5124,3286, 868,2238, // 1280
        1486, 855,2661, 785,2216,3048,5125,1040,3216,3578,5126,3146, 448,5127,1525,5128, // 1296
        2165,4562,5129,3833,5130,4242,2833,3579,3147, 503, 818,4001,3148,1568, 814, 676, // 1312
        1444, 306,1749,5131,3834,1416,1030, 197,1428, 805,2834,1501,4563,5132,5133,5134, // 1328
        1994,5135,4564,5136,5137,2198,  13,2792,3704,2998,3149,1229,1917,5138,3835,2132, // 1344
        5139,4243,4565,2404,3580,5140,2217,1511,1727,1120,5141,5142, 646,3836,2448, 307, // 1360
        5143,5144,1595,3217,5145,5146,5147,3705,1113,1356,4002,1465,2529,2530,5148, 519, // 1376
        5149, 128,2133,  92,2289,1980,5150,4003,1512, 342,3150,2199,5151,2793,2218,1981, // 1392
        3360,4244, 290,1656,1317, 789, 827,2365,5152,3837,4566, 562, 581,4004,5153, 401, // 1408
        4567,2252,  94,4568,5154,1399,2794,5155,1463,2025,4569,3218,1944,5156, 828,1105, // 1424
        4245,1262,1394,5157,4246, 605,4570,5158,1784,2876,5159,2835, 819,2102, 578,2200, // 1440
        2952,5160,1502, 436,3287,4247,3288,2836,4005,2919,3472,3473,5161,2721,2320,5162, // 1456
        5163,2337,2068,  23,4571, 193, 826,3838,2103, 699,1630,4248,3098, 390,1794,1064, // 1472
        3581,5164,1579,3099,3100,1400,5165,4249,1839,1640,2877,5166,4572,4573, 137,4250, // 1488
         598,3101,1967, 780, 104, 974,2953,5167, 278, 899, 253, 402, 572, 504, 493,1339, // 1504
        5168,4006,1275,4574,2582,2558,5169,3706,3049,3102,2253, 565,1334,2722, 863,  41, // 1520
        5170,5171,4575,5172,1657,2338,  19, 463,2760,4251, 606,5173,2999,3289,1087,2085, // 1536
        1323,2662,3000,5174,1631,1623,1750,4252,2691,5175,2878, 791,2723,2663,2339, 232, // 1552
        2421,5176,3001,1498,5177,2664,2630, 755,1366,3707,3290,3151,2026,1609, 119,1918, // 1568
        3474, 862,1026,4253,5178,4007,3839,4576,4008,4577,2265,1952,2477,5179,1125, 817, // 1584
        4254,4255,4009,1513,1766,2041,1487,4256,3050,3291,2837,3840,3152,5180,5181,1507, // 1600
        5182,2692, 733,  40,1632,1106,2879, 345,4257, 841,2531, 230,4578,3002,1847,3292, // 1616
        3475,5183,1263, 986,3476,5184, 735, 879, 254,1137, 857, 622,1300,1180,1388,1562, // 1632
        4010,4011,2954, 967,2761,2665,1349, 592,2134,1692,3361,3003,1995,4258,1679,4012, // 1648
        1902,2188,5185, 739,3708,2724,1296,1290,5186,4259,2201,2202,1922,1563,2605,2559, // 1664
        1871,2762,3004,5187, 435,5188, 343,1108, 596,  17,1751,4579,2239,3477,3709,5189, // 1680
        4580, 294,3582,2955,1693, 477, 979, 281,2042,3583, 643,2043,3710,2631,2795,2266, // 1696
        1031,2340,2135,2303,3584,4581, 367,1249,2560,5190,3585,5191,4582,1283,3362,2005, // 1712
         240,1762,3363,4583,4584, 836,1069,3153, 474,5192,2149,2532, 268,3586,5193,3219, // 1728
        1521,1284,5194,1658,1546,4260,5195,3587,3588,5196,4261,3364,2693,1685,4262, 961, // 1744
        1673,2632, 190,2006,2203,3841,4585,4586,5197, 570,2504,3711,1490,5198,4587,2633, // 1760
        3293,1957,4588, 584,1514, 396,1045,1945,5199,4589,1968,2449,5200,5201,4590,4013, // 1776
         619,5202,3154,3294, 215,2007,2796,2561,3220,4591,3221,4592, 763,4263,3842,4593, // 1792
        5203,5204,1958,1767,2956,3365,3712,1174, 452,1477,4594,3366,3155,5205,2838,1253, // 1808
        2387,2189,1091,2290,4264, 492,5206, 638,1169,1825,2136,1752,4014, 648, 926,1021, // 1824
        1324,4595, 520,4596, 997, 847,1007, 892,4597,3843,2267,1872,3713,2405,1785,4598, // 1840
        1953,2957,3103,3222,1728,4265,2044,3714,4599,2008,1701,3156,1551,  30,2268,4266, // 1856
        5207,2027,4600,3589,5208, 501,5209,4267, 594,3478,2166,1822,3590,3479,3591,3223, // 1872
         829,2839,4268,5210,1680,3157,1225,4269,5211,3295,4601,4270,3158,2341,5212,4602, // 1888
        4271,5213,4015,4016,5214,1848,2388,2606,3367,5215,4603, 374,4017, 652,4272,4273, // 1904
         375,1140, 798,5216,5217,5218,2366,4604,2269, 546,1659, 138,3051,2450,4605,5219, // 1920
        2254, 612,1849, 910, 796,3844,1740,1371, 825,3845,3846,5220,2920,2562,5221, 692, // 1936
         444,3052,2634, 801,4606,4274,5222,1491, 244,1053,3053,4275,4276, 340,5223,4018, // 1952
        1041,3005, 293,1168,  87,1357,5224,1539, 959,5225,2240, 721, 694,4277,3847, 219, // 1968
        1478, 644,1417,3368,2666,1413,1401,1335,1389,4019,5226,5227,3006,2367,3159,1826, // 1984
         730,1515, 184,2840,  66,4607,5228,1660,2958, 246,3369, 378,1457, 226,3480, 975, // 2000
        4020,2959,1264,3592, 674, 696,5229, 163,5230,1141,2422,2167, 713,3593,3370,4608, // 2016
        4021,5231,5232,1186,  15,5233,1079,1070,5234,1522,3224,3594, 276,1050,2725, 758, // 2032
        1126, 653,2960,3296,5235,2342, 889,3595,4022,3104,3007, 903,1250,4609,4023,3481, // 2048
        3596,1342,1681,1718, 766,3297, 286,  89,2961,3715,5236,1713,5237,2607,3371,3008, // 2064
        5238,2962,2219,3225,2880,5239,4610,2505,2533, 181, 387,1075,4024, 731,2190,3372, // 2080
        5240,3298, 310, 313,3482,2304, 770,4278,  54,3054, 189,4611,3105,3848,4025,5241, // 2096
        1230,1617,1850, 355,3597,4279,4612,3373, 111,4280,3716,1350,3160,3483,3055,4281, // 2112
        2150,3299,3598,5242,2797,4026,4027,3009, 722,2009,5243,1071, 247,1207,2343,2478, // 2128
        1378,4613,2010, 864,1437,1214,4614, 373,3849,1142,2220, 667,4615, 442,2763,2563, // 2144
        3850,4028,1969,4282,3300,1840, 837, 170,1107, 934,1336,1883,5244,5245,2119,4283, // 2160
        2841, 743,1569,5246,4616,4284, 582,2389,1418,3484,5247,1803,5248, 357,1395,1729, // 2176
        3717,3301,2423,1564,2241,5249,3106,3851,1633,4617,1114,2086,4285,1532,5250, 482, // 2192
        2451,4618,5251,5252,1492, 833,1466,5253,2726,3599,1641,2842,5254,1526,1272,3718, // 2208
        4286,1686,1795, 416,2564,1903,1954,1804,5255,3852,2798,3853,1159,2321,5256,2881, // 2224
        4619,1610,1584,3056,2424,2764, 443,3302,1163,3161,5257,5258,4029,5259,4287,2506, // 2240
        3057,4620,4030,3162,2104,1647,3600,2011,1873,4288,5260,4289, 431,3485,5261, 250, // 2256
          97,  81,4290,5262,1648,1851,1558, 160, 848,5263, 866, 740,1694,5264,2204,2843, // 2272
        3226,4291,4621,3719,1687, 950,2479, 426, 469,3227,3720,3721,4031,5265,5266,1188, // 2288
         424,1996, 861,3601,4292,3854,2205,2694, 168,1235,3602,4293,5267,2087,1674,4622, // 2304
        3374,3303, 220,2565,1009,5268,3855, 670,3010, 332,1208, 717,5269,5270,3603,2452, // 2320
        4032,3375,5271, 513,5272,1209,2882,3376,3163,4623,1080,5273,5274,5275,5276,2534, // 2336
        3722,3604, 815,1587,4033,4034,5277,3605,3486,3856,1254,4624,1328,3058,1390,4035, // 2352
        1741,4036,3857,4037,5278, 236,3858,2453,3304,5279,5280,3723,3859,1273,3860,4625, // 2368
        5281, 308,5282,4626, 245,4627,1852,2480,1307,2583, 430, 715,2137,2454,5283, 270, // 2384
         199,2883,4038,5284,3606,2727,1753, 761,1754, 725,1661,1841,4628,3487,3724,5285, // 2400
        5286, 587,  14,3305, 227,2608, 326, 480,2270, 943,2765,3607, 291, 650,1884,5287, // 2416
        1702,1226, 102,1547,  62,3488, 904,4629,3489,1164,4294,5288,5289,1224,1548,2766, // 2432
         391, 498,1493,5290,1386,1419,5291,2056,1177,4630, 813, 880,1081,2368, 566,1145, // 2448
        4631,2291,1001,1035,2566,2609,2242, 394,1286,5292,5293,2069,5294,  86,1494,1730, // 2464
        4039, 491,1588, 745, 897,2963, 843,3377,4040,2767,2884,3306,1768, 998,2221,2070, // 2480
         397,1827,1195,1970,3725,3011,3378, 284,5295,3861,2507,2138,2120,1904,5296,4041, // 2496
        2151,4042,4295,1036,3490,1905, 114,2567,4296, 209,1527,5297,5298,2964,2844,2635, // 2512
        2390,2728,3164, 812,2568,5299,3307,5300,1559, 737,1885,3726,1210, 885,  28,2695, // 2528
        3608,3862,5301,4297,1004,1780,4632,5302, 346,1982,2222,2696,4633,3863,1742, 797, // 2544
        1642,4043,1934,1072,1384,2152, 896,4044,3308,3727,3228,2885,3609,5303,2569,1959, // 2560
        4634,2455,1786,5304,5305,5306,4045,4298,1005,1308,3728,4299,2729,4635,4636,1528, // 2576
        2610, 161,1178,4300,1983, 987,4637,1101,4301, 631,4046,1157,3229,2425,1343,1241, // 2592
        1016,2243,2570, 372, 877,2344,2508,1160, 555,1935, 911,4047,5307, 466,1170, 169, // 2608
        1051,2921,2697,3729,2481,3012,1182,2012,2571,1251,2636,5308, 992,2345,3491,1540, // 2624
        2730,1201,2071,2406,1997,2482,5309,4638, 528,1923,2191,1503,1874,1570,2369,3379, // 2640
        3309,5310, 557,1073,5311,1828,3492,2088,2271,3165,3059,3107, 767,3108,2799,4639, // 2656
        1006,4302,4640,2346,1267,2179,3730,3230, 778,4048,3231,2731,1597,2667,5312,4641, // 2672
        5313,3493,5314,5315,5316,3310,2698,1433,3311, 131,  95,1504,4049, 723,4303,3166, // 2688
        1842,3610,2768,2192,4050,2028,2105,3731,5317,3013,4051,1218,5318,3380,3232,4052, // 2704
        4304,2584, 248,1634,3864, 912,5319,2845,3732,3060,3865, 654,  53,5320,3014,5321, // 2720
        1688,4642, 777,3494,1032,4053,1425,5322, 191, 820,2121,2846, 971,4643, 931,3233, // 2736
         135, 664, 783,3866,1998, 772,2922,1936,4054,3867,4644,2923,3234, 282,2732, 640, // 2752
        1372,3495,1127, 922, 325,3381,5323,5324, 711,2045,5325,5326,4055,2223,2800,1937, // 2768
        4056,3382,2224,2255,3868,2305,5327,4645,3869,1258,3312,4057,3235,2139,2965,4058, // 2784
        4059,5328,2225, 258,3236,4646, 101,1227,5329,3313,1755,5330,1391,3314,5331,2924, // 2800
        2057, 893,5332,5333,5334,1402,4305,2347,5335,5336,3237,3611,5337,5338, 878,1325, // 2816
        1781,2801,4647, 259,1385,2585, 744,1183,2272,4648,5339,4060,2509,5340, 684,1024, // 2832
        4306,5341, 472,3612,3496,1165,3315,4061,4062, 322,2153, 881, 455,1695,1152,1340, // 2848
         660, 554,2154,4649,1058,4650,4307, 830,1065,3383,4063,4651,1924,5342,1703,1919, // 2864
        5343, 932,2273, 122,5344,4652, 947, 677,5345,3870,2637, 297,1906,1925,2274,4653, // 2880
        2322,3316,5346,5347,4308,5348,4309,  84,4310, 112, 989,5349, 547,1059,4064, 701, // 2896
        3613,1019,5350,4311,5351,3497, 942, 639, 457,2306,2456, 993,2966, 407, 851, 494, // 2912
        4654,3384, 927,5352,1237,5353,2426,3385, 573,4312, 680, 921,2925,1279,1875, 285, // 2928
         790,1448,1984, 719,2168,5354,5355,4655,4065,4066,1649,5356,1541, 563,5357,1077, // 2944
        5358,3386,3061,3498, 511,3015,4067,4068,3733,4069,1268,2572,3387,3238,4656,4657, // 2960
        5359, 535,1048,1276,1189,2926,2029,3167,1438,1373,2847,2967,1134,2013,5360,4313, // 2976
        1238,2586,3109,1259,5361, 700,5362,2968,3168,3734,4314,5363,4315,1146,1876,1907, // 2992
        4658,2611,4070, 781,2427, 132,1589, 203, 147, 273,2802,2407, 898,1787,2155,4071, // 3008
        4072,5364,3871,2803,5365,5366,4659,4660,5367,3239,5368,1635,3872, 965,5369,1805, // 3024
        2699,1516,3614,1121,1082,1329,3317,4073,1449,3873,  65,1128,2848,2927,2769,1590, // 3040
        3874,5370,5371,  12,2668,  45, 976,2587,3169,4661, 517,2535,1013,1037,3240,5372, // 3056
        3875,2849,5373,3876,5374,3499,5375,2612, 614,1999,2323,3877,3110,2733,2638,5376, // 3072
        2588,4316, 599,1269,5377,1811,3735,5378,2700,3111, 759,1060, 489,1806,3388,3318, // 3088
        1358,5379,5380,2391,1387,1215,2639,2256, 490,5381,5382,4317,1759,2392,2348,5383, // 3104
        4662,3878,1908,4074,2640,1807,3241,4663,3500,3319,2770,2349, 874,5384,5385,3501, // 3120
        3736,1859,  91,2928,3737,3062,3879,4664,5386,3170,4075,2669,5387,3502,1202,1403, // 3136
        3880,2969,2536,1517,2510,4665,3503,2511,5388,4666,5389,2701,1886,1495,1731,4076, // 3152
        2370,4667,5390,2030,5391,5392,4077,2702,1216, 237,2589,4318,2324,4078,3881,4668, // 3168
        4669,2703,3615,3504, 445,4670,5393,5394,5395,5396,2771,  61,4079,3738,1823,4080, // 3184
        5397, 687,2046, 935, 925, 405,2670, 703,1096,1860,2734,4671,4081,1877,1367,2704, // 3200
        3389, 918,2106,1782,2483, 334,3320,1611,1093,4672, 564,3171,3505,3739,3390, 945, // 3216
        2641,2058,4673,5398,1926, 872,4319,5399,3506,2705,3112, 349,4320,3740,4082,4674, // 3232
        3882,4321,3741,2156,4083,4675,4676,4322,4677,2408,2047, 782,4084, 400, 251,4323, // 3248
        1624,5400,5401, 277,3742, 299,1265, 476,1191,3883,2122,4324,4325,1109, 205,5402, // 3264
        2590,1000,2157,3616,1861,5403,5404,5405,4678,5406,4679,2573, 107,2484,2158,4085, // 3280
        3507,3172,5407,1533, 541,1301, 158, 753,4326,2886,3617,5408,1696, 370,1088,4327, // 3296
        4680,3618, 579, 327, 440, 162,2244, 269,1938,1374,3508, 968,3063,  56,1396,3113, // 3312
        2107,3321,3391,5409,1927,2159,4681,3016,5410,3619,5411,5412,3743,4682,2485,5413, // 3328
        2804,5414,1650,4683,5415,2613,5416,5417,4086,2671,3392,1149,3393,4087,3884,4088, // 3344
        5418,1076,  49,5419, 951,3242,3322,3323, 450,2850, 920,5420,1812,2805,2371,4328, // 3360
        1909,1138,2372,3885,3509,5421,3243,4684,1910,1147,1518,2428,4685,3886,5422,4686, // 3376
        2393,2614, 260,1796,3244,5423,5424,3887,3324, 708,5425,3620,1704,5426,3621,1351, // 3392
        1618,3394,3017,1887, 944,4329,3395,4330,3064,3396,4331,5427,3744, 422, 413,1714, // 3408
        3325, 500,2059,2350,4332,2486,5428,1344,1911, 954,5429,1668,5430,5431,4089,2409, // 3424
        4333,3622,3888,4334,5432,2307,1318,2512,3114, 133,3115,2887,4687, 629,  31,2851, // 3440
        2706,3889,4688, 850, 949,4689,4090,2970,1732,2089,4335,1496,1853,5433,4091, 620, // 3456
        3245, 981,1242,3745,3397,1619,3746,1643,3326,2140,2457,1971,1719,3510,2169,5434, // 3472
        3246,5435,5436,3398,1829,5437,1277,4690,1565,2048,5438,1636,3623,3116,5439, 869, // 3488
        2852, 655,3890,3891,3117,4092,3018,3892,1310,3624,4691,5440,5441,5442,1733, 558, // 3504
        4692,3747, 335,1549,3065,1756,4336,3748,1946,3511,1830,1291,1192, 470,2735,2108, // 3520
        2806, 913,1054,4093,5443,1027,5444,3066,4094,4693, 982,2672,3399,3173,3512,3247, // 3536
        3248,1947,2807,5445, 571,4694,5446,1831,5447,3625,2591,1523,2429,5448,2090, 984, // 3552
        4695,3749,1960,5449,3750, 852, 923,2808,3513,3751, 969,1519, 999,2049,2325,1705, // 3568
        5450,3118, 615,1662, 151, 597,4095,2410,2326,1049, 275,4696,3752,4337, 568,3753, // 3584
        3626,2487,4338,3754,5451,2430,2275, 409,3249,5452,1566,2888,3514,1002, 769,2853, // 3600
         194,2091,3174,3755,2226,3327,4339, 628,1505,5453,5454,1763,2180,3019,4096, 521, // 3616
        1161,2592,1788,2206,2411,4697,4097,1625,4340,4341, 412,  42,3119, 464,5455,2642, // 3632
        4698,3400,1760,1571,2889,3515,2537,1219,2207,3893,2643,2141,2373,4699,4700,3328, // 3648
        1651,3401,3627,5456,5457,3628,2488,3516,5458,3756,5459,5460,2276,2092, 460,5461, // 3664
        4701,5462,3020, 962, 588,3629, 289,3250,2644,1116,  52,5463,3067,1797,5464,5465, // 3680
        5466,1467,5467,1598,1143,3757,4342,1985,1734,1067,4702,1280,3402, 465,4703,1572, // 3696
         510,5468,1928,2245,1813,1644,3630,5469,4704,3758,5470,5471,2673,1573,1534,5472, // 3712
        5473, 536,1808,1761,3517,3894,3175,2645,5474,5475,5476,4705,3518,2929,1912,2809, // 3728
        5477,3329,1122, 377,3251,5478, 360,5479,5480,4343,1529, 551,5481,2060,3759,1769, // 3744
        2431,5482,2930,4344,3330,3120,2327,2109,2031,4706,1404, 136,1468,1479, 672,1171, // 3760
        3252,2308, 271,3176,5483,2772,5484,2050, 678,2736, 865,1948,4707,5485,2014,4098, // 3776
        2971,5486,2737,2227,1397,3068,3760,4708,4709,1735,2931,3403,3631,5487,3895, 509, // 3792
        2854,2458,2890,3896,5488,5489,3177,3178,4710,4345,2538,4711,2309,1166,1010, 552, // 3808
         681,1888,5490,5491,2972,2973,4099,1287,1596,1862,3179, 358, 453, 736, 175, 478, // 3824
        1117, 905,1167,1097,5492,1854,1530,5493,1706,5494,2181,3519,2292,3761,3520,3632, // 3840
        4346,2093,4347,5495,3404,1193,2489,4348,1458,2193,2208,1863,1889,1421,3331,2932, // 3856
        3069,2182,3521, 595,2123,5496,4100,5497,5498,4349,1707,2646, 223,3762,1359, 751, // 3872
        3121, 183,3522,5499,2810,3021, 419,2374, 633, 704,3897,2394, 241,5500,5501,5502, // 3888
         838,3022,3763,2277,2773,2459,3898,1939,2051,4101,1309,3122,2246,1181,5503,1136, // 3904
        2209,3899,2375,1446,4350,2310,4712,5504,5505,4351,1055,2615, 484,3764,5506,4102, // 3920
         625,4352,2278,3405,1499,4353,4103,5507,4104,4354,3253,2279,2280,3523,5508,5509, // 3936
        2774, 808,2616,3765,3406,4105,4355,3123,2539, 526,3407,3900,4356, 955,5510,1620, // 3952
        4357,2647,2432,5511,1429,3766,1669,1832, 994, 928,5512,3633,1260,5513,5514,5515, // 3968
        1949,2293, 741,2933,1626,4358,2738,2460, 867,1184, 362,3408,1392,5516,5517,4106, // 3984
        4359,1770,1736,3254,2934,4713,4714,1929,2707,1459,1158,5518,3070,3409,2891,1292, // 4000
        1930,2513,2855,3767,1986,1187,2072,2015,2617,4360,5519,2574,2514,2170,3768,2490, // 4016
        3332,5520,3769,4715,5521,5522, 666,1003,3023,1022,3634,4361,5523,4716,1814,2257, // 4032
         574,3901,1603, 295,1535, 705,3902,4362, 283, 858, 417,5524,5525,3255,4717,4718, // 4048
        3071,1220,1890,1046,2281,2461,4107,1393,1599, 689,2575, 388,4363,5526,2491, 802, // 4064
        5527,2811,3903,2061,1405,2258,5528,4719,3904,2110,1052,1345,3256,1585,5529, 809, // 4080
        5530,5531,5532, 575,2739,3524, 956,1552,1469,1144,2328,5533,2329,1560,2462,3635, // 4096
        3257,4108, 616,2210,4364,3180,2183,2294,5534,1833,5535,3525,4720,5536,1319,3770, // 4112
        3771,1211,3636,1023,3258,1293,2812,5537,5538,5539,3905, 607,2311,3906, 762,2892, // 4128
        1439,4365,1360,4721,1485,3072,5540,4722,1038,4366,1450,2062,2648,4367,1379,4723, // 4144
        2593,5541,5542,4368,1352,1414,2330,2935,1172,5543,5544,3907,3908,4724,1798,1451, // 4160
        5545,5546,5547,5548,2936,4109,4110,2492,2351, 411,4111,4112,3637,3333,3124,4725, // 4176
        1561,2674,1452,4113,1375,5549,5550,  47,2974, 316,5551,1406,1591,2937,3181,5552, // 4192
        1025,2142,3125,3182, 354,2740, 884,2228,4369,2412, 508,3772, 726,3638, 996,2433, // 4208
        3639, 729,5553, 392,2194,1453,4114,4726,3773,5554,5555,2463,3640,2618,1675,2813, // 4224
         919,2352,2975,2353,1270,4727,4115,  73,5556,5557, 647,5558,3259,2856,2259,1550, // 4240
        1346,3024,5559,1332, 883,3526,5560,5561,5562,5563,3334,2775,5564,1212, 831,1347, // 4256
        4370,4728,2331,3909,1864,3073, 720,3910,4729,4730,3911,5565,4371,5566,5567,4731, // 4272
        5568,5569,1799,4732,3774,2619,4733,3641,1645,2376,4734,5570,2938, 669,2211,2675, // 4288
        2434,5571,2893,5572,5573,1028,3260,5574,4372,2413,5575,2260,1353,5576,5577,4735, // 4304
        3183, 518,5578,4116,5579,4373,1961,5580,2143,4374,5581,5582,3025,2354,2355,3912, // 4320
         516,1834,1454,4117,2708,4375,4736,2229,2620,1972,1129,3642,5583,2776,5584,2976, // 4336
        1422, 577,1470,3026,1524,3410,5585,5586, 432,4376,3074,3527,5587,2594,1455,2515, // 4352
        2230,1973,1175,5588,1020,2741,4118,3528,4737,5589,2742,5590,1743,1361,3075,3529, // 4368
        2649,4119,4377,4738,2295, 895, 924,4378,2171, 331,2247,3076, 166,1627,3077,1098, // 4384
        5591,1232,2894,2231,3411,4739, 657, 403,1196,2377, 542,3775,3412,1600,4379,3530, // 4400
        5592,4740,2777,3261, 576, 530,1362,4741,4742,2540,2676,3776,4120,5593, 842,3913, // 4416
        5594,2814,2032,1014,4121, 213,2709,3413, 665, 621,4380,5595,3777,2939,2435,5596, // 4432
        2436,3335,3643,3414,4743,4381,2541,4382,4744,3644,1682,4383,3531,1380,5597, 724, // 4448
        2282, 600,1670,5598,1337,1233,4745,3126,2248,5599,1621,4746,5600, 651,4384,5601, // 4464
        1612,4385,2621,5602,2857,5603,2743,2312,3078,5604, 716,2464,3079, 174,1255,2710, // 4480
        4122,3645, 548,1320,1398, 728,4123,1574,5605,1891,1197,3080,4124,5606,3081,3082, // 4496
        3778,3646,3779, 747,5607, 635,4386,4747,5608,5609,5610,4387,5611,5612,4748,5613, // 4512
        3415,4749,2437, 451,5614,3780,2542,2073,4388,2744,4389,4125,5615,1764,4750,5616, // 4528
        4390, 350,4751,2283,2395,2493,5617,4391,4126,2249,1434,4127, 488,4752, 458,4392, // 4544
        4128,3781, 771,1330,2396,3914,2576,3184,2160,2414,1553,2677,3185,4393,5618,2494, // 4560
        2895,2622,1720,2711,4394,3416,4753,5619,2543,4395,5620,3262,4396,2778,5621,2016, // 4576
        2745,5622,1155,1017,3782,3915,5623,3336,2313, 201,1865,4397,1430,5624,4129,5625, // 4592
        5626,5627,5628,5629,4398,1604,5630, 414,1866, 371,2595,4754,4755,3532,2017,3127, // 4608
        4756,1708, 960,4399, 887, 389,2172,1536,1663,1721,5631,2232,4130,2356,2940,1580, // 4624
        5632,5633,1744,4757,2544,4758,4759,5634,4760,5635,2074,5636,4761,3647,3417,2896, // 4640
        4400,5637,4401,2650,3418,2815, 673,2712,2465, 709,3533,4131,3648,4402,5638,1148, // 4656
         502, 634,5639,5640,1204,4762,3649,1575,4763,2623,3783,5641,3784,3128, 948,3263, // 4672
         121,1745,3916,1110,5642,4403,3083,2516,3027,4132,3785,1151,1771,3917,1488,4133, // 4688
        1987,5643,2438,3534,5644,5645,2094,5646,4404,3918,1213,1407,2816, 531,2746,2545, // 4704
        3264,1011,1537,4764,2779,4405,3129,1061,5647,3786,3787,1867,2897,5648,2018, 120, // 4720
        4406,4407,2063,3650,3265,2314,3919,2678,3419,1955,4765,4134,5649,3535,1047,2713, // 4736
        1266,5650,1368,4766,2858, 649,3420,3920,2546,2747,1102,2859,2679,5651,5652,2000, // 4752
        5653,1111,3651,2977,5654,2495,3921,3652,2817,1855,3421,3788,5655,5656,3422,2415, // 4768
        2898,3337,3266,3653,5657,2577,5658,3654,2818,4135,1460, 856,5659,3655,5660,2899, // 4784
        2978,5661,2900,3922,5662,4408, 632,2517, 875,3923,1697,3924,2296,5663,5664,4767, // 4800
        3028,1239, 580,4768,4409,5665, 914, 936,2075,1190,4136,1039,2124,5666,5667,5668, // 4816
        5669,3423,1473,5670,1354,4410,3925,4769,2173,3084,4137, 915,3338,4411,4412,3339, // 4832
        1605,1835,5671,2748, 398,3656,4413,3926,4138, 328,1913,2860,4139,3927,1331,4414, // 4848
        3029, 937,4415,5672,3657,4140,4141,3424,2161,4770,3425, 524, 742, 538,3085,1012, // 4864
        5673,5674,3928,2466,5675, 658,1103, 225,3929,5676,5677,4771,5678,4772,5679,3267, // 4880
        1243,5680,4142, 963,2250,4773,5681,2714,3658,3186,5682,5683,2596,2332,5684,4774, // 4896
        5685,5686,5687,3536, 957,3426,2547,2033,1931,2941,2467, 870,2019,3659,1746,2780, // 4912
        2781,2439,2468,5688,3930,5689,3789,3130,3790,3537,3427,3791,5690,1179,3086,5691, // 4928
        3187,2378,4416,3792,2548,3188,3131,2749,4143,5692,3428,1556,2549,2297, 977,2901, // 4944
        2034,4144,1205,3429,5693,1765,3430,3189,2125,1271, 714,1689,4775,3538,5694,2333, // 4960
        3931, 533,4417,3660,2184, 617,5695,2469,3340,3539,2315,5696,5697,3190,5698,5699, // 4976
        3932,1988, 618, 427,2651,3540,3431,5700,5701,1244,1690,5702,2819,4418,4776,5703, // 4992
        3541,4777,5704,2284,1576, 473,3661,4419,3432, 972,5705,3662,5706,3087,5707,5708, // 5008
        4778,4779,5709,3793,4145,4146,5710, 153,4780, 356,5711,1892,2902,4420,2144, 408, // 5024
         803,2357,5712,3933,5713,4421,1646,2578,2518,4781,4782,3934,5714,3935,4422,5715, // 5040
        2416,3433, 752,5716,5717,1962,3341,2979,5718, 746,3030,2470,4783,4423,3794, 698, // 5056
        4784,1893,4424,3663,2550,4785,3664,3936,5719,3191,3434,5720,1824,1302,4147,2715, // 5072
        3937,1974,4425,5721,4426,3192, 823,1303,1288,1236,2861,3542,4148,3435, 774,3938, // 5088
        5722,1581,4786,1304,2862,3939,4787,5723,2440,2162,1083,3268,4427,4149,4428, 344, // 5104
        1173, 288,2316, 454,1683,5724,5725,1461,4788,4150,2597,5726,5727,4789, 985, 894, // 5120
        5728,3436,3193,5729,1914,2942,3795,1989,5730,2111,1975,5731,4151,5732,2579,1194, // 5136
         425,5733,4790,3194,1245,3796,4429,5734,5735,2863,5736, 636,4791,1856,3940, 760, // 5152
        1800,5737,4430,2212,1508,4792,4152,1894,1684,2298,5738,5739,4793,4431,4432,2213, // 5168
         479,5740,5741, 832,5742,4153,2496,5743,2980,2497,3797, 990,3132, 627,1815,2652, // 5184
        4433,1582,4434,2126,2112,3543,4794,5744, 799,4435,3195,5745,4795,2113,1737,3031, // 5200
        1018, 543, 754,4436,3342,1676,4796,4797,4154,4798,1489,5746,3544,5747,2624,2903, // 5216
        4155,5748,5749,2981,5750,5751,5752,5753,3196,4799,4800,2185,1722,5754,3269,3270, // 5232
        1843,3665,1715, 481, 365,1976,1857,5755,5756,1963,2498,4801,5757,2127,3666,3271, // 5248
         433,1895,2064,2076,5758, 602,2750,5759,5760,5761,5762,5763,3032,1628,3437,5764, // 5264
        3197,4802,4156,2904,4803,2519,5765,2551,2782,5766,5767,5768,3343,4804,2905,5769, // 5280
        4805,5770,2864,4806,4807,1221,2982,4157,2520,5771,5772,5773,1868,1990,5774,5775, // 5296
        5776,1896,5777,5778,4808,1897,4158, 318,5779,2095,4159,4437,5780,5781, 485,5782, // 5312
         938,3941, 553,2680, 116,5783,3942,3667,5784,3545,2681,2783,3438,3344,2820,5785, // 5328
        3668,2943,4160,1747,2944,2983,5786,5787, 207,5788,4809,5789,4810,2521,5790,3033, // 5344
         890,3669,3943,5791,1878,3798,3439,5792,2186,2358,3440,1652,5793,5794,5795, 941, // 5360
        2299, 208,3546,4161,2020, 330,4438,3944,2906,2499,3799,4439,4811,5796,5797,5798, // 5376  //last 512

        /*************************************************************************************** 
         *Everything below is of no interest for detection purpose							   *
         ***************************************************************************************

        2522,1613,4812,5799,3345,3945,2523,5800,4162,5801,1637,4163,2471,4813,3946,5802, // 5392
        2500,3034,3800,5803,5804,2195,4814,5805,2163,5806,5807,5808,5809,5810,5811,5812, // 5408
        5813,5814,5815,5816,5817,5818,5819,5820,5821,5822,5823,5824,5825,5826,5827,5828, // 5424
        5829,5830,5831,5832,5833,5834,5835,5836,5837,5838,5839,5840,5841,5842,5843,5844, // 5440
        5845,5846,5847,5848,5849,5850,5851,5852,5853,5854,5855,5856,5857,5858,5859,5860, // 5456
        5861,5862,5863,5864,5865,5866,5867,5868,5869,5870,5871,5872,5873,5874,5875,5876, // 5472
        5877,5878,5879,5880,5881,5882,5883,5884,5885,5886,5887,5888,5889,5890,5891,5892, // 5488
        5893,5894,5895,5896,5897,5898,5899,5900,5901,5902,5903,5904,5905,5906,5907,5908, // 5504
        5909,5910,5911,5912,5913,5914,5915,5916,5917,5918,5919,5920,5921,5922,5923,5924, // 5520
        5925,5926,5927,5928,5929,5930,5931,5932,5933,5934,5935,5936,5937,5938,5939,5940, // 5536
        5941,5942,5943,5944,5945,5946,5947,5948,5949,5950,5951,5952,5953,5954,5955,5956, // 5552
        5957,5958,5959,5960,5961,5962,5963,5964,5965,5966,5967,5968,5969,5970,5971,5972, // 5568
        5973,5974,5975,5976,5977,5978,5979,5980,5981,5982,5983,5984,5985,5986,5987,5988, // 5584
        5989,5990,5991,5992,5993,5994,5995,5996,5997,5998,5999,6000,6001,6002,6003,6004, // 5600
        6005,6006,6007,6008,6009,6010,6011,6012,6013,6014,6015,6016,6017,6018,6019,6020, // 5616
        6021,6022,6023,6024,6025,6026,6027,6028,6029,6030,6031,6032,6033,6034,6035,6036, // 5632
        6037,6038,6039,6040,6041,6042,6043,6044,6045,6046,6047,6048,6049,6050,6051,6052, // 5648
        6053,6054,6055,6056,6057,6058,6059,6060,6061,6062,6063,6064,6065,6066,6067,6068, // 5664
        6069,6070,6071,6072,6073,6074,6075,6076,6077,6078,6079,6080,6081,6082,6083,6084, // 5680
        6085,6086,6087,6088,6089,6090,6091,6092,6093,6094,6095,6096,6097,6098,6099,6100, // 5696
        6101,6102,6103,6104,6105,6106,6107,6108,6109,6110,6111,6112,6113,6114,6115,6116, // 5712
        6117,6118,6119,6120,6121,6122,6123,6124,6125,6126,6127,6128,6129,6130,6131,6132, // 5728
        6133,6134,6135,6136,6137,6138,6139,6140,6141,6142,6143,6144,6145,6146,6147,6148, // 5744
        6149,6150,6151,6152,6153,6154,6155,6156,6157,6158,6159,6160,6161,6162,6163,6164, // 5760
        6165,6166,6167,6168,6169,6170,6171,6172,6173,6174,6175,6176,6177,6178,6179,6180, // 5776
        6181,6182,6183,6184,6185,6186,6187,6188,6189,6190,6191,6192,6193,6194,6195,6196, // 5792
        6197,6198,6199,6200,6201,6202,6203,6204,6205,6206,6207,6208,6209,6210,6211,6212, // 5808
        6213,6214,6215,6216,6217,6218,6219,6220,6221,6222,6223,3670,6224,6225,6226,6227, // 5824
        6228,6229,6230,6231,6232,6233,6234,6235,6236,6237,6238,6239,6240,6241,6242,6243, // 5840
        6244,6245,6246,6247,6248,6249,6250,6251,6252,6253,6254,6255,6256,6257,6258,6259, // 5856
        6260,6261,6262,6263,6264,6265,6266,6267,6268,6269,6270,6271,6272,6273,6274,6275, // 5872
        6276,6277,6278,6279,6280,6281,6282,6283,6284,6285,4815,6286,6287,6288,6289,6290, // 5888
        6291,6292,4816,6293,6294,6295,6296,6297,6298,6299,6300,6301,6302,6303,6304,6305, // 5904
        6306,6307,6308,6309,6310,6311,4817,4818,6312,6313,6314,6315,6316,6317,6318,4819, // 5920
        6319,6320,6321,6322,6323,6324,6325,6326,6327,6328,6329,6330,6331,6332,6333,6334, // 5936
        6335,6336,6337,4820,6338,6339,6340,6341,6342,6343,6344,6345,6346,6347,6348,6349, // 5952
        6350,6351,6352,6353,6354,6355,6356,6357,6358,6359,6360,6361,6362,6363,6364,6365, // 5968
        6366,6367,6368,6369,6370,6371,6372,6373,6374,6375,6376,6377,6378,6379,6380,6381, // 5984
        6382,6383,6384,6385,6386,6387,6388,6389,6390,6391,6392,6393,6394,6395,6396,6397, // 6000
        6398,6399,6400,6401,6402,6403,6404,6405,6406,6407,6408,6409,6410,3441,6411,6412, // 6016
        6413,6414,6415,6416,6417,6418,6419,6420,6421,6422,6423,6424,6425,4440,6426,6427, // 6032
        6428,6429,6430,6431,6432,6433,6434,6435,6436,6437,6438,6439,6440,6441,6442,6443, // 6048
        6444,6445,6446,6447,6448,6449,6450,6451,6452,6453,6454,4821,6455,6456,6457,6458, // 6064
        6459,6460,6461,6462,6463,6464,6465,6466,6467,6468,6469,6470,6471,6472,6473,6474, // 6080
        6475,6476,6477,3947,3948,6478,6479,6480,6481,3272,4441,6482,6483,6484,6485,4442, // 6096
        6486,6487,6488,6489,6490,6491,6492,6493,6494,6495,6496,4822,6497,6498,6499,6500, // 6112
        6501,6502,6503,6504,6505,6506,6507,6508,6509,6510,6511,6512,6513,6514,6515,6516, // 6128
        6517,6518,6519,6520,6521,6522,6523,6524,6525,6526,6527,6528,6529,6530,6531,6532, // 6144
        6533,6534,6535,6536,6537,6538,6539,6540,6541,6542,6543,6544,6545,6546,6547,6548, // 6160
        6549,6550,6551,6552,6553,6554,6555,6556,2784,6557,4823,6558,6559,6560,6561,6562, // 6176
        6563,6564,6565,6566,6567,6568,6569,3949,6570,6571,6572,4824,6573,6574,6575,6576, // 6192
        6577,6578,6579,6580,6581,6582,6583,4825,6584,6585,6586,3950,2785,6587,6588,6589, // 6208
        6590,6591,6592,6593,6594,6595,6596,6597,6598,6599,6600,6601,6602,6603,6604,6605, // 6224
        6606,6607,6608,6609,6610,6611,6612,4826,6613,6614,6615,4827,6616,6617,6618,6619, // 6240
        6620,6621,6622,6623,6624,6625,4164,6626,6627,6628,6629,6630,6631,6632,6633,6634, // 6256
        3547,6635,4828,6636,6637,6638,6639,6640,6641,6642,3951,2984,6643,6644,6645,6646, // 6272
        6647,6648,6649,4165,6650,4829,6651,6652,4830,6653,6654,6655,6656,6657,6658,6659, // 6288
        6660,6661,6662,4831,6663,6664,6665,6666,6667,6668,6669,6670,6671,4166,6672,4832, // 6304
        3952,6673,6674,6675,6676,4833,6677,6678,6679,4167,6680,6681,6682,3198,6683,6684, // 6320
        6685,6686,6687,6688,6689,6690,6691,6692,6693,6694,6695,6696,6697,4834,6698,6699, // 6336
        6700,6701,6702,6703,6704,6705,6706,6707,6708,6709,6710,6711,6712,6713,6714,6715, // 6352
        6716,6717,6718,6719,6720,6721,6722,6723,6724,6725,6726,6727,6728,6729,6730,6731, // 6368
        6732,6733,6734,4443,6735,6736,6737,6738,6739,6740,6741,6742,6743,6744,6745,4444, // 6384
        6746,6747,6748,6749,6750,6751,6752,6753,6754,6755,6756,6757,6758,6759,6760,6761, // 6400
        6762,6763,6764,6765,6766,6767,6768,6769,6770,6771,6772,6773,6774,6775,6776,6777, // 6416
        6778,6779,6780,6781,4168,6782,6783,3442,6784,6785,6786,6787,6788,6789,6790,6791, // 6432
        4169,6792,6793,6794,6795,6796,6797,6798,6799,6800,6801,6802,6803,6804,6805,6806, // 6448
        6807,6808,6809,6810,6811,4835,6812,6813,6814,4445,6815,6816,4446,6817,6818,6819, // 6464
        6820,6821,6822,6823,6824,6825,6826,6827,6828,6829,6830,6831,6832,6833,6834,6835, // 6480
        3548,6836,6837,6838,6839,6840,6841,6842,6843,6844,6845,6846,4836,6847,6848,6849, // 6496
        6850,6851,6852,6853,6854,3953,6855,6856,6857,6858,6859,6860,6861,6862,6863,6864, // 6512
        6865,6866,6867,6868,6869,6870,6871,6872,6873,6874,6875,6876,6877,3199,6878,6879, // 6528
        6880,6881,6882,4447,6883,6884,6885,6886,6887,6888,6889,6890,6891,6892,6893,6894, // 6544
        6895,6896,6897,6898,6899,6900,6901,6902,6903,6904,4170,6905,6906,6907,6908,6909, // 6560
        6910,6911,6912,6913,6914,6915,6916,6917,6918,6919,6920,6921,6922,6923,6924,6925, // 6576
        6926,6927,4837,6928,6929,6930,6931,6932,6933,6934,6935,6936,3346,6937,6938,4838, // 6592
        6939,6940,6941,4448,6942,6943,6944,6945,6946,4449,6947,6948,6949,6950,6951,6952, // 6608
        6953,6954,6955,6956,6957,6958,6959,6960,6961,6962,6963,6964,6965,6966,6967,6968, // 6624
        6969,6970,6971,6972,6973,6974,6975,6976,6977,6978,6979,6980,6981,6982,6983,6984, // 6640
        6985,6986,6987,6988,6989,6990,6991,6992,6993,6994,3671,6995,6996,6997,6998,4839, // 6656
        6999,7000,7001,7002,3549,7003,7004,7005,7006,7007,7008,7009,7010,7011,7012,7013, // 6672
        7014,7015,7016,7017,7018,7019,7020,7021,7022,7023,7024,7025,7026,7027,7028,7029, // 6688
        7030,4840,7031,7032,7033,7034,7035,7036,7037,7038,4841,7039,7040,7041,7042,7043, // 6704
        7044,7045,7046,7047,7048,7049,7050,7051,7052,7053,7054,7055,7056,7057,7058,7059, // 6720
        7060,7061,7062,7063,7064,7065,7066,7067,7068,7069,7070,2985,7071,7072,7073,7074, // 6736
        7075,7076,7077,7078,7079,7080,4842,7081,7082,7083,7084,7085,7086,7087,7088,7089, // 6752
        7090,7091,7092,7093,7094,7095,7096,7097,7098,7099,7100,7101,7102,7103,7104,7105, // 6768
        7106,7107,7108,7109,7110,7111,7112,7113,7114,7115,7116,7117,7118,4450,7119,7120, // 6784
        7121,7122,7123,7124,7125,7126,7127,7128,7129,7130,7131,7132,7133,7134,7135,7136, // 6800
        7137,7138,7139,7140,7141,7142,7143,4843,7144,7145,7146,7147,7148,7149,7150,7151, // 6816
        7152,7153,7154,7155,7156,7157,7158,7159,7160,7161,7162,7163,7164,7165,7166,7167, // 6832
        7168,7169,7170,7171,7172,7173,7174,7175,7176,7177,7178,7179,7180,7181,7182,7183, // 6848
        7184,7185,7186,7187,7188,4171,4172,7189,7190,7191,7192,7193,7194,7195,7196,7197, // 6864
        7198,7199,7200,7201,7202,7203,7204,7205,7206,7207,7208,7209,7210,7211,7212,7213, // 6880
        7214,7215,7216,7217,7218,7219,7220,7221,7222,7223,7224,7225,7226,7227,7228,7229, // 6896
        7230,7231,7232,7233,7234,7235,7236,7237,7238,7239,7240,7241,7242,7243,7244,7245, // 6912
        7246,7247,7248,7249,7250,7251,7252,7253,7254,7255,7256,7257,7258,7259,7260,7261, // 6928
        7262,7263,7264,7265,7266,7267,7268,7269,7270,7271,7272,7273,7274,7275,7276,7277, // 6944
        7278,7279,7280,7281,7282,7283,7284,7285,7286,7287,7288,7289,7290,7291,7292,7293, // 6960
        7294,7295,7296,4844,7297,7298,7299,7300,7301,7302,7303,7304,7305,7306,7307,7308, // 6976
        7309,7310,7311,7312,7313,7314,7315,7316,4451,7317,7318,7319,7320,7321,7322,7323, // 6992
        7324,7325,7326,7327,7328,7329,7330,7331,7332,7333,7334,7335,7336,7337,7338,7339, // 7008
        7340,7341,7342,7343,7344,7345,7346,7347,7348,7349,7350,7351,7352,7353,4173,7354, // 7024
        7355,4845,7356,7357,7358,7359,7360,7361,7362,7363,7364,7365,7366,7367,7368,7369, // 7040
        7370,7371,7372,7373,7374,7375,7376,7377,7378,7379,7380,7381,7382,7383,7384,7385, // 7056
        7386,7387,7388,4846,7389,7390,7391,7392,7393,7394,7395,7396,7397,7398,7399,7400, // 7072
        7401,7402,7403,7404,7405,3672,7406,7407,7408,7409,7410,7411,7412,7413,7414,7415, // 7088
        7416,7417,7418,7419,7420,7421,7422,7423,7424,7425,7426,7427,7428,7429,7430,7431, // 7104
        7432,7433,7434,7435,7436,7437,7438,7439,7440,7441,7442,7443,7444,7445,7446,7447, // 7120
        7448,7449,7450,7451,7452,7453,4452,7454,3200,7455,7456,7457,7458,7459,7460,7461, // 7136
        7462,7463,7464,7465,7466,7467,7468,7469,7470,7471,7472,7473,7474,4847,7475,7476, // 7152
        7477,3133,7478,7479,7480,7481,7482,7483,7484,7485,7486,7487,7488,7489,7490,7491, // 7168
        7492,7493,7494,7495,7496,7497,7498,7499,7500,7501,7502,3347,7503,7504,7505,7506, // 7184
        7507,7508,7509,7510,7511,7512,7513,7514,7515,7516,7517,7518,7519,7520,7521,4848, // 7200
        7522,7523,7524,7525,7526,7527,7528,7529,7530,7531,7532,7533,7534,7535,7536,7537, // 7216
        7538,7539,7540,7541,7542,7543,7544,7545,7546,7547,7548,7549,3801,4849,7550,7551, // 7232
        7552,7553,7554,7555,7556,7557,7558,7559,7560,7561,7562,7563,7564,7565,7566,7567, // 7248
        7568,7569,3035,7570,7571,7572,7573,7574,7575,7576,7577,7578,7579,7580,7581,7582, // 7264
        7583,7584,7585,7586,7587,7588,7589,7590,7591,7592,7593,7594,7595,7596,7597,7598, // 7280
        7599,7600,7601,7602,7603,7604,7605,7606,7607,7608,7609,7610,7611,7612,7613,7614, // 7296
        7615,7616,4850,7617,7618,3802,7619,7620,7621,7622,7623,7624,7625,7626,7627,7628, // 7312
        7629,7630,7631,7632,4851,7633,7634,7635,7636,7637,7638,7639,7640,7641,7642,7643, // 7328
        7644,7645,7646,7647,7648,7649,7650,7651,7652,7653,7654,7655,7656,7657,7658,7659, // 7344
        7660,7661,7662,7663,7664,7665,7666,7667,7668,7669,7670,4453,7671,7672,7673,7674, // 7360
        7675,7676,7677,7678,7679,7680,7681,7682,7683,7684,7685,7686,7687,7688,7689,7690, // 7376
        7691,7692,7693,7694,7695,7696,7697,3443,7698,7699,7700,7701,7702,4454,7703,7704, // 7392
        7705,7706,7707,7708,7709,7710,7711,7712,7713,2472,7714,7715,7716,7717,7718,7719, // 7408
        7720,7721,7722,7723,7724,7725,7726,7727,7728,7729,7730,7731,3954,7732,7733,7734, // 7424
        7735,7736,7737,7738,7739,7740,7741,7742,7743,7744,7745,7746,7747,7748,7749,7750, // 7440
        3134,7751,7752,4852,7753,7754,7755,4853,7756,7757,7758,7759,7760,4174,7761,7762, // 7456
        7763,7764,7765,7766,7767,7768,7769,7770,7771,7772,7773,7774,7775,7776,7777,7778, // 7472
        7779,7780,7781,7782,7783,7784,7785,7786,7787,7788,7789,7790,7791,7792,7793,7794, // 7488
        7795,7796,7797,7798,7799,7800,7801,7802,7803,7804,7805,4854,7806,7807,7808,7809, // 7504
        7810,7811,7812,7813,7814,7815,7816,7817,7818,7819,7820,7821,7822,7823,7824,7825, // 7520
        4855,7826,7827,7828,7829,7830,7831,7832,7833,7834,7835,7836,7837,7838,7839,7840, // 7536
        7841,7842,7843,7844,7845,7846,7847,3955,7848,7849,7850,7851,7852,7853,7854,7855, // 7552
        7856,7857,7858,7859,7860,3444,7861,7862,7863,7864,7865,7866,7867,7868,7869,7870, // 7568
        7871,7872,7873,7874,7875,7876,7877,7878,7879,7880,7881,7882,7883,7884,7885,7886, // 7584
        7887,7888,7889,7890,7891,4175,7892,7893,7894,7895,7896,4856,4857,7897,7898,7899, // 7600
        7900,2598,7901,7902,7903,7904,7905,7906,7907,7908,4455,7909,7910,7911,7912,7913, // 7616
        7914,3201,7915,7916,7917,7918,7919,7920,7921,4858,7922,7923,7924,7925,7926,7927, // 7632
        7928,7929,7930,7931,7932,7933,7934,7935,7936,7937,7938,7939,7940,7941,7942,7943, // 7648
        7944,7945,7946,7947,7948,7949,7950,7951,7952,7953,7954,7955,7956,7957,7958,7959, // 7664
        7960,7961,7962,7963,7964,7965,7966,7967,7968,7969,7970,7971,7972,7973,7974,7975, // 7680
        7976,7977,7978,7979,7980,7981,4859,7982,7983,7984,7985,7986,7987,7988,7989,7990, // 7696
        7991,7992,7993,7994,7995,7996,4860,7997,7998,7999,8000,8001,8002,8003,8004,8005, // 7712
        8006,8007,8008,8009,8010,8011,8012,8013,8014,8015,8016,4176,8017,8018,8019,8020, // 7728
        8021,8022,8023,4861,8024,8025,8026,8027,8028,8029,8030,8031,8032,8033,8034,8035, // 7744
        8036,4862,4456,8037,8038,8039,8040,4863,8041,8042,8043,8044,8045,8046,8047,8048, // 7760
        8049,8050,8051,8052,8053,8054,8055,8056,8057,8058,8059,8060,8061,8062,8063,8064, // 7776
        8065,8066,8067,8068,8069,8070,8071,8072,8073,8074,8075,8076,8077,8078,8079,8080, // 7792
        8081,8082,8083,8084,8085,8086,8087,8088,8089,8090,8091,8092,8093,8094,8095,8096, // 7808
        8097,8098,8099,4864,4177,8100,8101,8102,8103,8104,8105,8106,8107,8108,8109,8110, // 7824
        8111,8112,8113,8114,8115,8116,8117,8118,8119,8120,4178,8121,8122,8123,8124,8125, // 7840
        8126,8127,8128,8129,8130,8131,8132,8133,8134,8135,8136,8137,8138,8139,8140,8141, // 7856
        8142,8143,8144,8145,4865,4866,8146,8147,8148,8149,8150,8151,8152,8153,8154,8155, // 7872
        8156,8157,8158,8159,8160,8161,8162,8163,8164,8165,4179,8166,8167,8168,8169,8170, // 7888
        8171,8172,8173,8174,8175,8176,8177,8178,8179,8180,8181,4457,8182,8183,8184,8185, // 7904
        8186,8187,8188,8189,8190,8191,8192,8193,8194,8195,8196,8197,8198,8199,8200,8201, // 7920
        8202,8203,8204,8205,8206,8207,8208,8209,8210,8211,8212,8213,8214,8215,8216,8217, // 7936
        8218,8219,8220,8221,8222,8223,8224,8225,8226,8227,8228,8229,8230,8231,8232,8233, // 7952
        8234,8235,8236,8237,8238,8239,8240,8241,8242,8243,8244,8245,8246,8247,8248,8249, // 7968
        8250,8251,8252,8253,8254,8255,8256,3445,8257,8258,8259,8260,8261,8262,4458,8263, // 7984
        8264,8265,8266,8267,8268,8269,8270,8271,8272,4459,8273,8274,8275,8276,3550,8277, // 8000
        8278,8279,8280,8281,8282,8283,8284,8285,8286,8287,8288,8289,4460,8290,8291,8292, // 8016
        8293,8294,8295,8296,8297,8298,8299,8300,8301,8302,8303,8304,8305,8306,8307,4867, // 8032
        8308,8309,8310,8311,8312,3551,8313,8314,8315,8316,8317,8318,8319,8320,8321,8322, // 8048
        8323,8324,8325,8326,4868,8327,8328,8329,8330,8331,8332,8333,8334,8335,8336,8337, // 8064
        8338,8339,8340,8341,8342,8343,8344,8345,8346,8347,8348,8349,8350,8351,8352,8353, // 8080
        8354,8355,8356,8357,8358,8359,8360,8361,8362,8363,4869,4461,8364,8365,8366,8367, // 8096
        8368,8369,8370,4870,8371,8372,8373,8374,8375,8376,8377,8378,8379,8380,8381,8382, // 8112
        8383,8384,8385,8386,8387,8388,8389,8390,8391,8392,8393,8394,8395,8396,8397,8398, // 8128
        8399,8400,8401,8402,8403,8404,8405,8406,8407,8408,8409,8410,4871,8411,8412,8413, // 8144
        8414,8415,8416,8417,8418,8419,8420,8421,8422,4462,8423,8424,8425,8426,8427,8428, // 8160
        8429,8430,8431,8432,8433,2986,8434,8435,8436,8437,8438,8439,8440,8441,8442,8443, // 8176
        8444,8445,8446,8447,8448,8449,8450,8451,8452,8453,8454,8455,8456,8457,8458,8459, // 8192
        8460,8461,8462,8463,8464,8465,8466,8467,8468,8469,8470,8471,8472,8473,8474,8475, // 8208
        8476,8477,8478,4180,8479,8480,8481,8482,8483,8484,8485,8486,8487,8488,8489,8490, // 8224
        8491,8492,8493,8494,8495,8496,8497,8498,8499,8500,8501,8502,8503,8504,8505,8506, // 8240
        8507,8508,8509,8510,8511,8512,8513,8514,8515,8516,8517,8518,8519,8520,8521,8522, // 8256
        8523,8524,8525,8526,8527,8528,8529,8530,8531,8532,8533,8534,8535,8536,8537,8538, // 8272
        8539,8540,8541,8542,8543,8544,8545,8546,8547,8548,8549,8550,8551,8552,8553,8554, // 8288
        8555,8556,8557,8558,8559,8560,8561,8562,8563,8564,4872,8565,8566,8567,8568,8569, // 8304
        8570,8571,8572,8573,4873,8574,8575,8576,8577,8578,8579,8580,8581,8582,8583,8584, // 8320
        8585,8586,8587,8588,8589,8590,8591,8592,8593,8594,8595,8596,8597,8598,8599,8600, // 8336
        8601,8602,8603,8604,8605,3803,8606,8607,8608,8609,8610,8611,8612,8613,4874,3804, // 8352
        8614,8615,8616,8617,8618,8619,8620,8621,3956,8622,8623,8624,8625,8626,8627,8628, // 8368
        8629,8630,8631,8632,8633,8634,8635,8636,8637,8638,2865,8639,8640,8641,8642,8643, // 8384
        8644,8645,8646,8647,8648,8649,8650,8651,8652,8653,8654,8655,8656,4463,8657,8658, // 8400
        8659,4875,4876,8660,8661,8662,8663,8664,8665,8666,8667,8668,8669,8670,8671,8672, // 8416
        8673,8674,8675,8676,8677,8678,8679,8680,8681,4464,8682,8683,8684,8685,8686,8687, // 8432
        8688,8689,8690,8691,8692,8693,8694,8695,8696,8697,8698,8699,8700,8701,8702,8703, // 8448
        8704,8705,8706,8707,8708,8709,2261,8710,8711,8712,8713,8714,8715,8716,8717,8718, // 8464
        8719,8720,8721,8722,8723,8724,8725,8726,8727,8728,8729,8730,8731,8732,8733,4181, // 8480
        8734,8735,8736,8737,8738,8739,8740,8741,8742,8743,8744,8745,8746,8747,8748,8749, // 8496
        8750,8751,8752,8753,8754,8755,8756,8757,8758,8759,8760,8761,8762,8763,4877,8764, // 8512
        8765,8766,8767,8768,8769,8770,8771,8772,8773,8774,8775,8776,8777,8778,8779,8780, // 8528
        8781,8782,8783,8784,8785,8786,8787,8788,4878,8789,4879,8790,8791,8792,4880,8793, // 8544
        8794,8795,8796,8797,8798,8799,8800,8801,4881,8802,8803,8804,8805,8806,8807,8808, // 8560
        8809,8810,8811,8812,8813,8814,8815,3957,8816,8817,8818,8819,8820,8821,8822,8823, // 8576
        8824,8825,8826,8827,8828,8829,8830,8831,8832,8833,8834,8835,8836,8837,8838,8839, // 8592
        8840,8841,8842,8843,8844,8845,8846,8847,4882,8848,8849,8850,8851,8852,8853,8854, // 8608
        8855,8856,8857,8858,8859,8860,8861,8862,8863,8864,8865,8866,8867,8868,8869,8870, // 8624
        8871,8872,8873,8874,8875,8876,8877,8878,8879,8880,8881,8882,8883,8884,3202,8885, // 8640
        8886,8887,8888,8889,8890,8891,8892,8893,8894,8895,8896,8897,8898,8899,8900,8901, // 8656
        8902,8903,8904,8905,8906,8907,8908,8909,8910,8911,8912,8913,8914,8915,8916,8917, // 8672
        8918,8919,8920,8921,8922,8923,8924,4465,8925,8926,8927,8928,8929,8930,8931,8932, // 8688
        4883,8933,8934,8935,8936,8937,8938,8939,8940,8941,8942,8943,2214,8944,8945,8946, // 8704
        8947,8948,8949,8950,8951,8952,8953,8954,8955,8956,8957,8958,8959,8960,8961,8962, // 8720
        8963,8964,8965,4884,8966,8967,8968,8969,8970,8971,8972,8973,8974,8975,8976,8977, // 8736
        8978,8979,8980,8981,8982,8983,8984,8985,8986,8987,8988,8989,8990,8991,8992,4885, // 8752
        8993,8994,8995,8996,8997,8998,8999,9000,9001,9002,9003,9004,9005,9006,9007,9008, // 8768
        9009,9010,9011,9012,9013,9014,9015,9016,9017,9018,9019,9020,9021,4182,9022,9023, // 8784
        9024,9025,9026,9027,9028,9029,9030,9031,9032,9033,9034,9035,9036,9037,9038,9039, // 8800
        9040,9041,9042,9043,9044,9045,9046,9047,9048,9049,9050,9051,9052,9053,9054,9055, // 8816
        9056,9057,9058,9059,9060,9061,9062,9063,4886,9064,9065,9066,9067,9068,9069,4887, // 8832
        9070,9071,9072,9073,9074,9075,9076,9077,9078,9079,9080,9081,9082,9083,9084,9085, // 8848
        9086,9087,9088,9089,9090,9091,9092,9093,9094,9095,9096,9097,9098,9099,9100,9101, // 8864
        9102,9103,9104,9105,9106,9107,9108,9109,9110,9111,9112,9113,9114,9115,9116,9117, // 8880
        9118,9119,9120,9121,9122,9123,9124,9125,9126,9127,9128,9129,9130,9131,9132,9133, // 8896
        9134,9135,9136,9137,9138,9139,9140,9141,3958,9142,9143,9144,9145,9146,9147,9148, // 8912
        9149,9150,9151,4888,9152,9153,9154,9155,9156,9157,9158,9159,9160,9161,9162,9163, // 8928
        9164,9165,9166,9167,9168,9169,9170,9171,9172,9173,9174,9175,4889,9176,9177,9178, // 8944
        9179,9180,9181,9182,9183,9184,9185,9186,9187,9188,9189,9190,9191,9192,9193,9194, // 8960
        9195,9196,9197,9198,9199,9200,9201,9202,9203,4890,9204,9205,9206,9207,9208,9209, // 8976
        9210,9211,9212,9213,9214,9215,9216,9217,9218,9219,9220,9221,9222,4466,9223,9224, // 8992
        9225,9226,9227,9228,9229,9230,9231,9232,9233,9234,9235,9236,9237,9238,9239,9240, // 9008
        9241,9242,9243,9244,9245,4891,9246,9247,9248,9249,9250,9251,9252,9253,9254,9255, // 9024
        9256,9257,4892,9258,9259,9260,9261,4893,4894,9262,9263,9264,9265,9266,9267,9268, // 9040
        9269,9270,9271,9272,9273,4467,9274,9275,9276,9277,9278,9279,9280,9281,9282,9283, // 9056
        9284,9285,3673,9286,9287,9288,9289,9290,9291,9292,9293,9294,9295,9296,9297,9298, // 9072
        9299,9300,9301,9302,9303,9304,9305,9306,9307,9308,9309,9310,9311,9312,9313,9314, // 9088
        9315,9316,9317,9318,9319,9320,9321,9322,4895,9323,9324,9325,9326,9327,9328,9329, // 9104
        9330,9331,9332,9333,9334,9335,9336,9337,9338,9339,9340,9341,9342,9343,9344,9345, // 9120
        9346,9347,4468,9348,9349,9350,9351,9352,9353,9354,9355,9356,9357,9358,9359,9360, // 9136
        9361,9362,9363,9364,9365,9366,9367,9368,9369,9370,9371,9372,9373,4896,9374,4469, // 9152
        9375,9376,9377,9378,9379,4897,9380,9381,9382,9383,9384,9385,9386,9387,9388,9389, // 9168
        9390,9391,9392,9393,9394,9395,9396,9397,9398,9399,9400,9401,9402,9403,9404,9405, // 9184
        9406,4470,9407,2751,9408,9409,3674,3552,9410,9411,9412,9413,9414,9415,9416,9417, // 9200
        9418,9419,9420,9421,4898,9422,9423,9424,9425,9426,9427,9428,9429,3959,9430,9431, // 9216
        9432,9433,9434,9435,9436,4471,9437,9438,9439,9440,9441,9442,9443,9444,9445,9446, // 9232
        9447,9448,9449,9450,3348,9451,9452,9453,9454,9455,9456,9457,9458,9459,9460,9461, // 9248
        9462,9463,9464,9465,9466,9467,9468,9469,9470,9471,9472,4899,9473,9474,9475,9476, // 9264
        9477,4900,9478,9479,9480,9481,9482,9483,9484,9485,9486,9487,9488,3349,9489,9490, // 9280
        9491,9492,9493,9494,9495,9496,9497,9498,9499,9500,9501,9502,9503,9504,9505,9506, // 9296
        9507,9508,9509,9510,9511,9512,9513,9514,9515,9516,9517,9518,9519,9520,4901,9521, // 9312
        9522,9523,9524,9525,9526,4902,9527,9528,9529,9530,9531,9532,9533,9534,9535,9536, // 9328
        9537,9538,9539,9540,9541,9542,9543,9544,9545,9546,9547,9548,9549,9550,9551,9552, // 9344
        9553,9554,9555,9556,9557,9558,9559,9560,9561,9562,9563,9564,9565,9566,9567,9568, // 9360
        9569,9570,9571,9572,9573,9574,9575,9576,9577,9578,9579,9580,9581,9582,9583,9584, // 9376
        3805,9585,9586,9587,9588,9589,9590,9591,9592,9593,9594,9595,9596,9597,9598,9599, // 9392
        9600,9601,9602,4903,9603,9604,9605,9606,9607,4904,9608,9609,9610,9611,9612,9613, // 9408
        9614,4905,9615,9616,9617,9618,9619,9620,9621,9622,9623,9624,9625,9626,9627,9628, // 9424
        9629,9630,9631,9632,4906,9633,9634,9635,9636,9637,9638,9639,9640,9641,9642,9643, // 9440
        4907,9644,9645,9646,9647,9648,9649,9650,9651,9652,9653,9654,9655,9656,9657,9658, // 9456
        9659,9660,9661,9662,9663,9664,9665,9666,9667,9668,9669,9670,9671,9672,4183,9673, // 9472
        9674,9675,9676,9677,4908,9678,9679,9680,9681,4909,9682,9683,9684,9685,9686,9687, // 9488
        9688,9689,9690,4910,9691,9692,9693,3675,9694,9695,9696,2945,9697,9698,9699,9700, // 9504
        9701,9702,9703,9704,9705,4911,9706,9707,9708,9709,9710,9711,9712,9713,9714,9715, // 9520
        9716,9717,9718,9719,9720,9721,9722,9723,9724,9725,9726,9727,9728,9729,9730,9731, // 9536
        9732,9733,9734,9735,4912,9736,9737,9738,9739,9740,4913,9741,9742,9743,9744,9745, // 9552
        9746,9747,9748,9749,9750,9751,9752,9753,9754,9755,9756,9757,9758,4914,9759,9760, // 9568
        9761,9762,9763,9764,9765,9766,9767,9768,9769,9770,9771,9772,9773,9774,9775,9776, // 9584
        9777,9778,9779,9780,9781,9782,4915,9783,9784,9785,9786,9787,9788,9789,9790,9791, // 9600
        9792,9793,4916,9794,9795,9796,9797,9798,9799,9800,9801,9802,9803,9804,9805,9806, // 9616
        9807,9808,9809,9810,9811,9812,9813,9814,9815,9816,9817,9818,9819,9820,9821,9822, // 9632
        9823,9824,9825,9826,9827,9828,9829,9830,9831,9832,9833,9834,9835,9836,9837,9838, // 9648
        9839,9840,9841,9842,9843,9844,9845,9846,9847,9848,9849,9850,9851,9852,9853,9854, // 9664
        9855,9856,9857,9858,9859,9860,9861,9862,9863,9864,9865,9866,9867,9868,4917,9869, // 9680
        9870,9871,9872,9873,9874,9875,9876,9877,9878,9879,9880,9881,9882,9883,9884,9885, // 9696
        9886,9887,9888,9889,9890,9891,9892,4472,9893,9894,9895,9896,9897,3806,9898,9899, // 9712
        9900,9901,9902,9903,9904,9905,9906,9907,9908,9909,9910,9911,9912,9913,9914,4918, // 9728
        9915,9916,9917,4919,9918,9919,9920,9921,4184,9922,9923,9924,9925,9926,9927,9928, // 9744
        9929,9930,9931,9932,9933,9934,9935,9936,9937,9938,9939,9940,9941,9942,9943,9944, // 9760
        9945,9946,4920,9947,9948,9949,9950,9951,9952,9953,9954,9955,4185,9956,9957,9958, // 9776
        9959,9960,9961,9962,9963,9964,9965,4921,9966,9967,9968,4473,9969,9970,9971,9972, // 9792
        9973,9974,9975,9976,9977,4474,9978,9979,9980,9981,9982,9983,9984,9985,9986,9987, // 9808
        9988,9989,9990,9991,9992,9993,9994,9995,9996,9997,9998,9999,10000,10001,10002,10003, // 9824
        10004,10005,10006,10007,10008,10009,10010,10011,10012,10013,10014,10015,10016,10017,10018,10019, // 9840
        10020,10021,4922,10022,4923,10023,10024,10025,10026,10027,10028,10029,10030,10031,10032,10033, // 9856
        10034,10035,10036,10037,10038,10039,10040,10041,10042,10043,10044,10045,10046,10047,10048,4924, // 9872
        10049,10050,10051,10052,10053,10054,10055,10056,10057,10058,10059,10060,10061,10062,10063,10064, // 9888
        10065,10066,10067,10068,10069,10070,10071,10072,10073,10074,10075,10076,10077,10078,10079,10080, // 9904
        10081,10082,10083,10084,10085,10086,10087,4475,10088,10089,10090,10091,10092,10093,10094,10095, // 9920
        10096,10097,4476,10098,10099,10100,10101,10102,10103,10104,10105,10106,10107,10108,10109,10110, // 9936
        10111,2174,10112,10113,10114,10115,10116,10117,10118,10119,10120,10121,10122,10123,10124,10125, // 9952
        10126,10127,10128,10129,10130,10131,10132,10133,10134,10135,10136,10137,10138,10139,10140,3807, // 9968
        4186,4925,10141,10142,10143,10144,10145,10146,10147,4477,4187,10148,10149,10150,10151,10152, // 9984
        10153,4188,10154,10155,10156,10157,10158,10159,10160,10161,4926,10162,10163,10164,10165,10166, //10000
        10167,10168,10169,10170,10171,10172,10173,10174,10175,10176,10177,10178,10179,10180,10181,10182, //10016
        10183,10184,10185,10186,10187,10188,10189,10190,10191,10192,3203,10193,10194,10195,10196,10197, //10032
        10198,10199,10200,4478,10201,10202,10203,10204,4479,10205,10206,10207,10208,10209,10210,10211, //10048
        10212,10213,10214,10215,10216,10217,10218,10219,10220,10221,10222,10223,10224,10225,10226,10227, //10064
        10228,10229,10230,10231,10232,10233,10234,4927,10235,10236,10237,10238,10239,10240,10241,10242, //10080
        10243,10244,10245,10246,10247,10248,10249,10250,10251,10252,10253,10254,10255,10256,10257,10258, //10096
        10259,10260,10261,10262,10263,10264,10265,10266,10267,10268,10269,10270,10271,10272,10273,4480, //10112
        4928,4929,10274,10275,10276,10277,10278,10279,10280,10281,10282,10283,10284,10285,10286,10287, //10128
        10288,10289,10290,10291,10292,10293,10294,10295,10296,10297,10298,10299,10300,10301,10302,10303, //10144
        10304,10305,10306,10307,10308,10309,10310,10311,10312,10313,10314,10315,10316,10317,10318,10319, //10160
        10320,10321,10322,10323,10324,10325,10326,10327,10328,10329,10330,10331,10332,10333,10334,4930, //10176
        10335,10336,10337,10338,10339,10340,10341,10342,4931,10343,10344,10345,10346,10347,10348,10349, //10192
        10350,10351,10352,10353,10354,10355,3088,10356,2786,10357,10358,10359,10360,4189,10361,10362, //10208
        10363,10364,10365,10366,10367,10368,10369,10370,10371,10372,10373,10374,10375,4932,10376,10377, //10224
        10378,10379,10380,10381,10382,10383,10384,10385,10386,10387,10388,10389,10390,10391,10392,4933, //10240
        10393,10394,10395,4934,10396,10397,10398,10399,10400,10401,10402,10403,10404,10405,10406,10407, //10256
        10408,10409,10410,10411,10412,3446,10413,10414,10415,10416,10417,10418,10419,10420,10421,10422, //10272
        10423,4935,10424,10425,10426,10427,10428,10429,10430,4936,10431,10432,10433,10434,10435,10436, //10288
        10437,10438,10439,10440,10441,10442,10443,4937,10444,10445,10446,10447,4481,10448,10449,10450, //10304
        10451,10452,10453,10454,10455,10456,10457,10458,10459,10460,10461,10462,10463,10464,10465,10466, //10320
        10467,10468,10469,10470,10471,10472,10473,10474,10475,10476,10477,10478,10479,10480,10481,10482, //10336
        10483,10484,10485,10486,10487,10488,10489,10490,10491,10492,10493,10494,10495,10496,10497,10498, //10352
        10499,10500,10501,10502,10503,10504,10505,4938,10506,10507,10508,10509,10510,2552,10511,10512, //10368
        10513,10514,10515,10516,3447,10517,10518,10519,10520,10521,10522,10523,10524,10525,10526,10527, //10384
        10528,10529,10530,10531,10532,10533,10534,10535,10536,10537,10538,10539,10540,10541,10542,10543, //10400
        4482,10544,4939,10545,10546,10547,10548,10549,10550,10551,10552,10553,10554,10555,10556,10557, //10416
        10558,10559,10560,10561,10562,10563,10564,10565,10566,10567,3676,4483,10568,10569,10570,10571, //10432
        10572,3448,10573,10574,10575,10576,10577,10578,10579,10580,10581,10582,10583,10584,10585,10586, //10448
        10587,10588,10589,10590,10591,10592,10593,10594,10595,10596,10597,10598,10599,10600,10601,10602, //10464
        10603,10604,10605,10606,10607,10608,10609,10610,10611,10612,10613,10614,10615,10616,10617,10618, //10480
        10619,10620,10621,10622,10623,10624,10625,10626,10627,4484,10628,10629,10630,10631,10632,4940, //10496
        10633,10634,10635,10636,10637,10638,10639,10640,10641,10642,10643,10644,10645,10646,10647,10648, //10512
        10649,10650,10651,10652,10653,10654,10655,10656,4941,10657,10658,10659,2599,10660,10661,10662, //10528
        10663,10664,10665,10666,3089,10667,10668,10669,10670,10671,10672,10673,10674,10675,10676,10677, //10544
        10678,10679,10680,4942,10681,10682,10683,10684,10685,10686,10687,10688,10689,10690,10691,10692, //10560
        10693,10694,10695,10696,10697,4485,10698,10699,10700,10701,10702,10703,10704,4943,10705,3677, //10576
        10706,10707,10708,10709,10710,10711,10712,4944,10713,10714,10715,10716,10717,10718,10719,10720, //10592
        10721,10722,10723,10724,10725,10726,10727,10728,4945,10729,10730,10731,10732,10733,10734,10735, //10608
        10736,10737,10738,10739,10740,10741,10742,10743,10744,10745,10746,10747,10748,10749,10750,10751, //10624
        10752,10753,10754,10755,10756,10757,10758,10759,10760,10761,4946,10762,10763,10764,10765,10766, //10640
        10767,4947,4948,10768,10769,10770,10771,10772,10773,10774,10775,10776,10777,10778,10779,10780, //10656
        10781,10782,10783,10784,10785,10786,10787,10788,10789,10790,10791,10792,10793,10794,10795,10796, //10672
        10797,10798,10799,10800,10801,10802,10803,10804,10805,10806,10807,10808,10809,10810,10811,10812, //10688
        10813,10814,10815,10816,10817,10818,10819,10820,10821,10822,10823,10824,10825,10826,10827,10828, //10704
        10829,10830,10831,10832,10833,10834,10835,10836,10837,10838,10839,10840,10841,10842,10843,10844, //10720
        10845,10846,10847,10848,10849,10850,10851,10852,10853,10854,10855,10856,10857,10858,10859,10860, //10736
        10861,10862,10863,10864,10865,10866,10867,10868,10869,10870,10871,10872,10873,10874,10875,10876, //10752
        10877,10878,4486,10879,10880,10881,10882,10883,10884,10885,4949,10886,10887,10888,10889,10890, //10768
        10891,10892,10893,10894,10895,10896,10897,10898,10899,10900,10901,10902,10903,10904,10905,10906, //10784
        10907,10908,10909,10910,10911,10912,10913,10914,10915,10916,10917,10918,10919,4487,10920,10921, //10800
        10922,10923,10924,10925,10926,10927,10928,10929,10930,10931,10932,4950,10933,10934,10935,10936, //10816
        10937,10938,10939,10940,10941,10942,10943,10944,10945,10946,10947,10948,10949,4488,10950,10951, //10832
        10952,10953,10954,10955,10956,10957,10958,10959,4190,10960,10961,10962,10963,10964,10965,10966, //10848
        10967,10968,10969,10970,10971,10972,10973,10974,10975,10976,10977,10978,10979,10980,10981,10982, //10864
        10983,10984,10985,10986,10987,10988,10989,10990,10991,10992,10993,10994,10995,10996,10997,10998, //10880
        10999,11000,11001,11002,11003,11004,11005,11006,3960,11007,11008,11009,11010,11011,11012,11013, //10896
        11014,11015,11016,11017,11018,11019,11020,11021,11022,11023,11024,11025,11026,11027,11028,11029, //10912
        11030,11031,11032,4951,11033,11034,11035,11036,11037,11038,11039,11040,11041,11042,11043,11044, //10928
        11045,11046,11047,4489,11048,11049,11050,11051,4952,11052,11053,11054,11055,11056,11057,11058, //10944
        4953,11059,11060,11061,11062,11063,11064,11065,11066,11067,11068,11069,11070,11071,4954,11072, //10960
        11073,11074,11075,11076,11077,11078,11079,11080,11081,11082,11083,11084,11085,11086,11087,11088, //10976
        11089,11090,11091,11092,11093,11094,11095,11096,11097,11098,11099,11100,11101,11102,11103,11104, //10992
        11105,11106,11107,11108,11109,11110,11111,11112,11113,11114,11115,3808,11116,11117,11118,11119, //11008
        11120,11121,11122,11123,11124,11125,11126,11127,11128,11129,11130,11131,11132,11133,11134,4955, //11024
        11135,11136,11137,11138,11139,11140,11141,11142,11143,11144,11145,11146,11147,11148,11149,11150, //11040
        11151,11152,11153,11154,11155,11156,11157,11158,11159,11160,11161,4956,11162,11163,11164,11165, //11056
        11166,11167,11168,11169,11170,11171,11172,11173,11174,11175,11176,11177,11178,11179,11180,4957, //11072
        11181,11182,11183,11184,11185,11186,4958,11187,11188,11189,11190,11191,11192,11193,11194,11195, //11088
        11196,11197,11198,11199,11200,3678,11201,11202,11203,11204,11205,11206,4191,11207,11208,11209, //11104
        11210,11211,11212,11213,11214,11215,11216,11217,11218,11219,11220,11221,11222,11223,11224,11225, //11120
        11226,11227,11228,11229,11230,11231,11232,11233,11234,11235,11236,11237,11238,11239,11240,11241, //11136
        11242,11243,11244,11245,11246,11247,11248,11249,11250,11251,4959,11252,11253,11254,11255,11256, //11152
        11257,11258,11259,11260,11261,11262,11263,11264,11265,11266,11267,11268,11269,11270,11271,11272, //11168
        11273,11274,11275,11276,11277,11278,11279,11280,11281,11282,11283,11284,11285,11286,11287,11288, //11184
        11289,11290,11291,11292,11293,11294,11295,11296,11297,11298,11299,11300,11301,11302,11303,11304, //11200
        11305,11306,11307,11308,11309,11310,11311,11312,11313,11314,3679,11315,11316,11317,11318,4490, //11216
        11319,11320,11321,11322,11323,11324,11325,11326,11327,11328,11329,11330,11331,11332,11333,11334, //11232
        11335,11336,11337,11338,11339,11340,11341,11342,11343,11344,11345,11346,11347,4960,11348,11349, //11248
        11350,11351,11352,11353,11354,11355,11356,11357,11358,11359,11360,11361,11362,11363,11364,11365, //11264
        11366,11367,11368,11369,11370,11371,11372,11373,11374,11375,11376,11377,3961,4961,11378,11379, //11280
        11380,11381,11382,11383,11384,11385,11386,11387,11388,11389,11390,11391,11392,11393,11394,11395, //11296
        11396,11397,4192,11398,11399,11400,11401,11402,11403,11404,11405,11406,11407,11408,11409,11410, //11312
        11411,4962,11412,11413,11414,11415,11416,11417,11418,11419,11420,11421,11422,11423,11424,11425, //11328
        11426,11427,11428,11429,11430,11431,11432,11433,11434,11435,11436,11437,11438,11439,11440,11441, //11344
        11442,11443,11444,11445,11446,11447,11448,11449,11450,11451,11452,11453,11454,11455,11456,11457, //11360
        11458,11459,11460,11461,11462,11463,11464,11465,11466,11467,11468,11469,4963,11470,11471,4491, //11376
        11472,11473,11474,11475,4964,11476,11477,11478,11479,11480,11481,11482,11483,11484,11485,11486, //11392
        11487,11488,11489,11490,11491,11492,4965,11493,11494,11495,11496,11497,11498,11499,11500,11501, //11408
        11502,11503,11504,11505,11506,11507,11508,11509,11510,11511,11512,11513,11514,11515,11516,11517, //11424
        11518,11519,11520,11521,11522,11523,11524,11525,11526,11527,11528,11529,3962,11530,11531,11532, //11440
        11533,11534,11535,11536,11537,11538,11539,11540,11541,11542,11543,11544,11545,11546,11547,11548, //11456
        11549,11550,11551,11552,11553,11554,11555,11556,11557,11558,11559,11560,11561,11562,11563,11564, //11472
        4193,4194,11565,11566,11567,11568,11569,11570,11571,11572,11573,11574,11575,11576,11577,11578, //11488
        11579,11580,11581,11582,11583,11584,11585,11586,11587,11588,11589,11590,11591,4966,4195,11592, //11504
        11593,11594,11595,11596,11597,11598,11599,11600,11601,11602,11603,11604,3090,11605,11606,11607, //11520
        11608,11609,11610,4967,11611,11612,11613,11614,11615,11616,11617,11618,11619,11620,11621,11622, //11536
        11623,11624,11625,11626,11627,11628,11629,11630,11631,11632,11633,11634,11635,11636,11637,11638, //11552
        11639,11640,11641,11642,11643,11644,11645,11646,11647,11648,11649,11650,11651,11652,11653,11654, //11568
        11655,11656,11657,11658,11659,11660,11661,11662,11663,11664,11665,11666,11667,11668,11669,11670, //11584
        11671,11672,11673,11674,4968,11675,11676,11677,11678,11679,11680,11681,11682,11683,11684,11685, //11600
        11686,11687,11688,11689,11690,11691,11692,11693,3809,11694,11695,11696,11697,11698,11699,11700, //11616
        11701,11702,11703,11704,11705,11706,11707,11708,11709,11710,11711,11712,11713,11714,11715,11716, //11632
        11717,11718,3553,11719,11720,11721,11722,11723,11724,11725,11726,11727,11728,11729,11730,4969, //11648
        11731,11732,11733,11734,11735,11736,11737,11738,11739,11740,4492,11741,11742,11743,11744,11745, //11664
        11746,11747,11748,11749,11750,11751,11752,4970,11753,11754,11755,11756,11757,11758,11759,11760, //11680
        11761,11762,11763,11764,11765,11766,11767,11768,11769,11770,11771,11772,11773,11774,11775,11776, //11696
        11777,11778,11779,11780,11781,11782,11783,11784,11785,11786,11787,11788,11789,11790,4971,11791, //11712
        11792,11793,11794,11795,11796,11797,4972,11798,11799,11800,11801,11802,11803,11804,11805,11806, //11728
        11807,11808,11809,11810,4973,11811,11812,11813,11814,11815,11816,11817,11818,11819,11820,11821, //11744
        11822,11823,11824,11825,11826,11827,11828,11829,11830,11831,11832,11833,11834,3680,3810,11835, //11760
        11836,4974,11837,11838,11839,11840,11841,11842,11843,11844,11845,11846,11847,11848,11849,11850, //11776
        11851,11852,11853,11854,11855,11856,11857,11858,11859,11860,11861,11862,11863,11864,11865,11866, //11792
        11867,11868,11869,11870,11871,11872,11873,11874,11875,11876,11877,11878,11879,11880,11881,11882, //11808
        11883,11884,4493,11885,11886,11887,11888,11889,11890,11891,11892,11893,11894,11895,11896,11897, //11824
        11898,11899,11900,11901,11902,11903,11904,11905,11906,11907,11908,11909,11910,11911,11912,11913, //11840
        11914,11915,4975,11916,11917,11918,11919,11920,11921,11922,11923,11924,11925,11926,11927,11928, //11856
        11929,11930,11931,11932,11933,11934,11935,11936,11937,11938,11939,11940,11941,11942,11943,11944, //11872
        11945,11946,11947,11948,11949,4976,11950,11951,11952,11953,11954,11955,11956,11957,11958,11959, //11888
        11960,11961,11962,11963,11964,11965,11966,11967,11968,11969,11970,11971,11972,11973,11974,11975, //11904
        11976,11977,11978,11979,11980,11981,11982,11983,11984,11985,11986,11987,4196,11988,11989,11990, //11920
        11991,11992,4977,11993,11994,11995,11996,11997,11998,11999,12000,12001,12002,12003,12004,12005, //11936
        12006,12007,12008,12009,12010,12011,12012,12013,12014,12015,12016,12017,12018,12019,12020,12021, //11952
        12022,12023,12024,12025,12026,12027,12028,12029,12030,12031,12032,12033,12034,12035,12036,12037, //11968
        12038,12039,12040,12041,12042,12043,12044,12045,12046,12047,12048,12049,12050,12051,12052,12053, //11984
        12054,12055,12056,12057,12058,12059,12060,12061,4978,12062,12063,12064,12065,12066,12067,12068, //12000
        12069,12070,12071,12072,12073,12074,12075,12076,12077,12078,12079,12080,12081,12082,12083,12084, //12016
        12085,12086,12087,12088,12089,12090,12091,12092,12093,12094,12095,12096,12097,12098,12099,12100, //12032
        12101,12102,12103,12104,12105,12106,12107,12108,12109,12110,12111,12112,12113,12114,12115,12116, //12048
        12117,12118,12119,12120,12121,12122,12123,4979,12124,12125,12126,12127,12128,4197,12129,12130, //12064
        12131,12132,12133,12134,12135,12136,12137,12138,12139,12140,12141,12142,12143,12144,12145,12146, //12080
        12147,12148,12149,12150,12151,12152,12153,12154,4980,12155,12156,12157,12158,12159,12160,4494, //12096
        12161,12162,12163,12164,3811,12165,12166,12167,12168,12169,4495,12170,12171,4496,12172,12173, //12112
        12174,12175,12176,3812,12177,12178,12179,12180,12181,12182,12183,12184,12185,12186,12187,12188, //12128
        12189,12190,12191,12192,12193,12194,12195,12196,12197,12198,12199,12200,12201,12202,12203,12204, //12144
        12205,12206,12207,12208,12209,12210,12211,12212,12213,12214,12215,12216,12217,12218,12219,12220, //12160
        12221,4981,12222,12223,12224,12225,12226,12227,12228,12229,12230,12231,12232,12233,12234,12235, //12176
        4982,12236,12237,12238,12239,12240,12241,12242,12243,12244,12245,4983,12246,12247,12248,12249, //12192
        4984,12250,12251,12252,12253,12254,12255,12256,12257,12258,12259,12260,12261,12262,12263,12264, //12208
        4985,12265,4497,12266,12267,12268,12269,12270,12271,12272,12273,12274,12275,12276,12277,12278, //12224
        12279,12280,12281,12282,12283,12284,12285,12286,12287,4986,12288,12289,12290,12291,12292,12293, //12240
        12294,12295,12296,2473,12297,12298,12299,12300,12301,12302,12303,12304,12305,12306,12307,12308, //12256
        12309,12310,12311,12312,12313,12314,12315,12316,12317,12318,12319,3963,12320,12321,12322,12323, //12272
        12324,12325,12326,12327,12328,12329,12330,12331,12332,4987,12333,12334,12335,12336,12337,12338, //12288
        12339,12340,12341,12342,12343,12344,12345,12346,12347,12348,12349,12350,12351,12352,12353,12354, //12304
        12355,12356,12357,12358,12359,3964,12360,12361,12362,12363,12364,12365,12366,12367,12368,12369, //12320
        12370,3965,12371,12372,12373,12374,12375,12376,12377,12378,12379,12380,12381,12382,12383,12384, //12336
        12385,12386,12387,12388,12389,12390,12391,12392,12393,12394,12395,12396,12397,12398,12399,12400, //12352
        12401,12402,12403,12404,12405,12406,12407,12408,4988,12409,12410,12411,12412,12413,12414,12415, //12368
        12416,12417,12418,12419,12420,12421,12422,12423,12424,12425,12426,12427,12428,12429,12430,12431, //12384
        12432,12433,12434,12435,12436,12437,12438,3554,12439,12440,12441,12442,12443,12444,12445,12446, //12400
        12447,12448,12449,12450,12451,12452,12453,12454,12455,12456,12457,12458,12459,12460,12461,12462, //12416
        12463,12464,4989,12465,12466,12467,12468,12469,12470,12471,12472,12473,12474,12475,12476,12477, //12432
        12478,12479,12480,4990,12481,12482,12483,12484,12485,12486,12487,12488,12489,4498,12490,12491, //12448
        12492,12493,12494,12495,12496,12497,12498,12499,12500,12501,12502,12503,12504,12505,12506,12507, //12464
        12508,12509,12510,12511,12512,12513,12514,12515,12516,12517,12518,12519,12520,12521,12522,12523, //12480
        12524,12525,12526,12527,12528,12529,12530,12531,12532,12533,12534,12535,12536,12537,12538,12539, //12496
        12540,12541,12542,12543,12544,12545,12546,12547,12548,12549,12550,12551,4991,12552,12553,12554, //12512
        12555,12556,12557,12558,12559,12560,12561,12562,12563,12564,12565,12566,12567,12568,12569,12570, //12528
        12571,12572,12573,12574,12575,12576,12577,12578,3036,12579,12580,12581,12582,12583,3966,12584, //12544
        12585,12586,12587,12588,12589,12590,12591,12592,12593,12594,12595,12596,12597,12598,12599,12600, //12560
        12601,12602,12603,12604,12605,12606,12607,12608,12609,12610,12611,12612,12613,12614,12615,12616, //12576
        12617,12618,12619,12620,12621,12622,12623,12624,12625,12626,12627,12628,12629,12630,12631,12632, //12592
        12633,12634,12635,12636,12637,12638,12639,12640,12641,12642,12643,12644,12645,12646,4499,12647, //12608
        12648,12649,12650,12651,12652,12653,12654,12655,12656,12657,12658,12659,12660,12661,12662,12663, //12624
        12664,12665,12666,12667,12668,12669,12670,12671,12672,12673,12674,12675,12676,12677,12678,12679, //12640
        12680,12681,12682,12683,12684,12685,12686,12687,12688,12689,12690,12691,12692,12693,12694,12695, //12656
        12696,12697,12698,4992,12699,12700,12701,12702,12703,12704,12705,12706,12707,12708,12709,12710, //12672
        12711,12712,12713,12714,12715,12716,12717,12718,12719,12720,12721,12722,12723,12724,12725,12726, //12688
        12727,12728,12729,12730,12731,12732,12733,12734,12735,12736,12737,12738,12739,12740,12741,12742, //12704
        12743,12744,12745,12746,12747,12748,12749,12750,12751,12752,12753,12754,12755,12756,12757,12758, //12720
        12759,12760,12761,12762,12763,12764,12765,12766,12767,12768,12769,12770,12771,12772,12773,12774, //12736
        12775,12776,12777,12778,4993,2175,12779,12780,12781,12782,12783,12784,12785,12786,4500,12787, //12752
        12788,12789,12790,12791,12792,12793,12794,12795,12796,12797,12798,12799,12800,12801,12802,12803, //12768
        12804,12805,12806,12807,12808,12809,12810,12811,12812,12813,12814,12815,12816,12817,12818,12819, //12784
        12820,12821,12822,12823,12824,12825,12826,4198,3967,12827,12828,12829,12830,12831,12832,12833, //12800
        12834,12835,12836,12837,12838,12839,12840,12841,12842,12843,12844,12845,12846,12847,12848,12849, //12816
        12850,12851,12852,12853,12854,12855,12856,12857,12858,12859,12860,12861,4199,12862,12863,12864, //12832
        12865,12866,12867,12868,12869,12870,12871,12872,12873,12874,12875,12876,12877,12878,12879,12880, //12848
        12881,12882,12883,12884,12885,12886,12887,4501,12888,12889,12890,12891,12892,12893,12894,12895, //12864
        12896,12897,12898,12899,12900,12901,12902,12903,12904,12905,12906,12907,12908,12909,12910,12911, //12880
        12912,4994,12913,12914,12915,12916,12917,12918,12919,12920,12921,12922,12923,12924,12925,12926, //12896
        12927,12928,12929,12930,12931,12932,12933,12934,12935,12936,12937,12938,12939,12940,12941,12942, //12912
        12943,12944,12945,12946,12947,12948,12949,12950,12951,12952,12953,12954,12955,12956,1772,12957, //12928
        12958,12959,12960,12961,12962,12963,12964,12965,12966,12967,12968,12969,12970,12971,12972,12973, //12944
        12974,12975,12976,12977,12978,12979,12980,12981,12982,12983,12984,12985,12986,12987,12988,12989, //12960
        12990,12991,12992,12993,12994,12995,12996,12997,4502,12998,4503,12999,13000,13001,13002,13003, //12976
        4504,13004,13005,13006,13007,13008,13009,13010,13011,13012,13013,13014,13015,13016,13017,13018, //12992
        13019,13020,13021,13022,13023,13024,13025,13026,13027,13028,13029,3449,13030,13031,13032,13033, //13008
        13034,13035,13036,13037,13038,13039,13040,13041,13042,13043,13044,13045,13046,13047,13048,13049, //13024
        13050,13051,13052,13053,13054,13055,13056,13057,13058,13059,13060,13061,13062,13063,13064,13065, //13040
        13066,13067,13068,13069,13070,13071,13072,13073,13074,13075,13076,13077,13078,13079,13080,13081, //13056
        13082,13083,13084,13085,13086,13087,13088,13089,13090,13091,13092,13093,13094,13095,13096,13097, //13072
        13098,13099,13100,13101,13102,13103,13104,13105,13106,13107,13108,13109,13110,13111,13112,13113, //13088
        13114,13115,13116,13117,13118,3968,13119,4995,13120,13121,13122,13123,13124,13125,13126,13127, //13104
        4505,13128,13129,13130,13131,13132,13133,13134,4996,4506,13135,13136,13137,13138,13139,4997, //13120
        13140,13141,13142,13143,13144,13145,13146,13147,13148,13149,13150,13151,13152,13153,13154,13155, //13136
        13156,13157,13158,13159,4998,13160,13161,13162,13163,13164,13165,13166,13167,13168,13169,13170, //13152
        13171,13172,13173,13174,13175,13176,4999,13177,13178,13179,13180,13181,13182,13183,13184,13185, //13168
        13186,13187,13188,13189,13190,13191,13192,13193,13194,13195,13196,13197,13198,13199,13200,13201, //13184
        13202,13203,13204,13205,13206,5000,13207,13208,13209,13210,13211,13212,13213,13214,13215,13216, //13200
        13217,13218,13219,13220,13221,13222,13223,13224,13225,13226,13227,4200,5001,13228,13229,13230, //13216
        13231,13232,13233,13234,13235,13236,13237,13238,13239,13240,3969,13241,13242,13243,13244,3970, //13232
        13245,13246,13247,13248,13249,13250,13251,13252,13253,13254,13255,13256,13257,13258,13259,13260, //13248
        13261,13262,13263,13264,13265,13266,13267,13268,3450,13269,13270,13271,13272,13273,13274,13275, //13264
        13276,5002,13277,13278,13279,13280,13281,13282,13283,13284,13285,13286,13287,13288,13289,13290, //13280
        13291,13292,13293,13294,13295,13296,13297,13298,13299,13300,13301,13302,3813,13303,13304,13305, //13296
        13306,13307,13308,13309,13310,13311,13312,13313,13314,13315,13316,13317,13318,13319,13320,13321, //13312
        13322,13323,13324,13325,13326,13327,13328,4507,13329,13330,13331,13332,13333,13334,13335,13336, //13328
        13337,13338,13339,13340,13341,5003,13342,13343,13344,13345,13346,13347,13348,13349,13350,13351, //13344
        13352,13353,13354,13355,13356,13357,13358,13359,13360,13361,13362,13363,13364,13365,13366,13367, //13360
        5004,13368,13369,13370,13371,13372,13373,13374,13375,13376,13377,13378,13379,13380,13381,13382, //13376
        13383,13384,13385,13386,13387,13388,13389,13390,13391,13392,13393,13394,13395,13396,13397,13398, //13392
        13399,13400,13401,13402,13403,13404,13405,13406,13407,13408,13409,13410,13411,13412,13413,13414, //13408
        13415,13416,13417,13418,13419,13420,13421,13422,13423,13424,13425,13426,13427,13428,13429,13430, //13424
        13431,13432,4508,13433,13434,13435,4201,13436,13437,13438,13439,13440,13441,13442,13443,13444, //13440
        13445,13446,13447,13448,13449,13450,13451,13452,13453,13454,13455,13456,13457,5005,13458,13459, //13456
        13460,13461,13462,13463,13464,13465,13466,13467,13468,13469,13470,4509,13471,13472,13473,13474, //13472
        13475,13476,13477,13478,13479,13480,13481,13482,13483,13484,13485,13486,13487,13488,13489,13490, //13488
        13491,13492,13493,13494,13495,13496,13497,13498,13499,13500,13501,13502,13503,13504,13505,13506, //13504
        13507,13508,13509,13510,13511,13512,13513,13514,13515,13516,13517,13518,13519,13520,13521,13522, //13520
        13523,13524,13525,13526,13527,13528,13529,13530,13531,13532,13533,13534,13535,13536,13537,13538, //13536
        13539,13540,13541,13542,13543,13544,13545,13546,13547,13548,13549,13550,13551,13552,13553,13554, //13552
        13555,13556,13557,13558,13559,13560,13561,13562,13563,13564,13565,13566,13567,13568,13569,13570, //13568
        13571,13572,13573,13574,13575,13576,13577,13578,13579,13580,13581,13582,13583,13584,13585,13586, //13584
        13587,13588,13589,13590,13591,13592,13593,13594,13595,13596,13597,13598,13599,13600,13601,13602, //13600
        13603,13604,13605,13606,13607,13608,13609,13610,13611,13612,13613,13614,13615,13616,13617,13618, //13616
        13619,13620,13621,13622,13623,13624,13625,13626,13627,13628,13629,13630,13631,13632,13633,13634, //13632
        13635,13636,13637,13638,13639,13640,13641,13642,5006,13643,13644,13645,13646,13647,13648,13649, //13648
        13650,13651,5007,13652,13653,13654,13655,13656,13657,13658,13659,13660,13661,13662,13663,13664, //13664
        13665,13666,13667,13668,13669,13670,13671,13672,13673,13674,13675,13676,13677,13678,13679,13680, //13680
        13681,13682,13683,13684,13685,13686,13687,13688,13689,13690,13691,13692,13693,13694,13695,13696, //13696
        13697,13698,13699,13700,13701,13702,13703,13704,13705,13706,13707,13708,13709,13710,13711,13712, //13712
        13713,13714,13715,13716,13717,13718,13719,13720,13721,13722,13723,13724,13725,13726,13727,13728, //13728
        13729,13730,13731,13732,13733,13734,13735,13736,13737,13738,13739,13740,13741,13742,13743,13744, //13744
        13745,13746,13747,13748,13749,13750,13751,13752,13753,13754,13755,13756,13757,13758,13759,13760, //13760
        13761,13762,13763,13764,13765,13766,13767,13768,13769,13770,13771,13772,13773,13774,3273,13775, //13776
        13776,13777,13778,13779,13780,13781,13782,13783,13784,13785,13786,13787,13788,13789,13790,13791, //13792
        13792,13793,13794,13795,13796,13797,13798,13799,13800,13801,13802,13803,13804,13805,13806,13807, //13808
        13808,13809,13810,13811,13812,13813,13814,13815,13816,13817,13818,13819,13820,13821,13822,13823, //13824
        13824,13825,13826,13827,13828,13829,13830,13831,13832,13833,13834,13835,13836,13837,13838,13839, //13840
        13840,13841,13842,13843,13844,13845,13846,13847,13848,13849,13850,13851,13852,13853,13854,13855, //13856
        13856,13857,13858,13859,13860,13861,13862,13863,13864,13865,13866,13867,13868,13869,13870,13871, //13872
        13872,13873,13874,13875,13876,13877,13878,13879,13880,13881,13882,13883,13884,13885,13886,13887, //13888
        13888,13889,13890,13891,13892,13893,13894,13895,13896,13897,13898,13899,13900,13901,13902,13903, //13904
        13904,13905,13906,13907,13908,13909,13910,13911,13912,13913,13914,13915,13916,13917,13918,13919, //13920
        13920,13921,13922,13923,13924,13925,13926,13927,13928,13929,13930,13931,13932,13933,13934,13935, //13936
        13936,13937,13938,13939,13940,13941,13942,13943,13944,13945,13946,13947,13948,13949,13950,13951, //13952
        13952,13953,13954,13955,13956,13957,13958,13959,13960,13961,13962,13963,13964,13965,13966,13967, //13968
        13968,13969,13970,13971,13972, //13973
        ****************************************************************************************/
        };
        
        public BIG5DistributionAnalyser()
        {
            charToFreqOrder = BIG5_CHAR2FREQ_ORDER;
            tableSize = BIG5_TABLE_SIZE;
            typicalDistributionRatio = BIG5_TYPICAL_DISTRIBUTION_RATIO;        
        }
        
        /// <summary>
        /// first  byte range: 0xa4 -- 0xfe
        ///  second byte range: 0x40 -- 0x7e , 0xa1 -- 0xfe
        /// no validation needed here. State machine has done that
        /// </summary>
        public override int GetOrder(byte[] buf, int offset) 
        { 
            if (buf[offset] >= 0xA4) {
                if (buf[offset+1] >= 0xA1)
                    return 157 * (buf[offset] - 0xA4) + buf[offset+1] - 0xA1 + 63;
                else
                    return 157 * (buf[offset] - 0xA4) + buf[offset+1] - 0x40;
            } else {
                return -1;            
            }  
        }
    }

    public class SJISDistributionAnalyser : CharDistributionAnalyser
    {
        //Sampling from about 20M text materials include literature and computer technology
        // Japanese frequency table, applied to both S-JIS and EUC-JP
        //They are sorted in order. 

        /******************************************************************************
         * 128  --> 0.77094
         * 256  --> 0.85710
         * 512  --> 0.92635
         * 1024 --> 0.97130
         * 2048 --> 0.99431
         *
         * Idea Distribution Ratio = 0.92635 / (1-0.92635) = 12.58
         * Random Distribution Ration = 512 / (2965+62+83+86-512) = 0.191
         * 
         * Typical Distribution Ratio, 25% of IDR 
         *****************************************************************************/

        protected static float SJIS_TYPICAL_DISTRIBUTION_RATIO = 3.0f;

        protected static int SJIS_TABLE_SIZE = 4368;

        protected static int[] SJIS_CHAR2FREQ_ORDER = {
          40,   1,   6, 182, 152, 180, 295,2127, 285, 381,3295,4304,3068,4606,3165,3510, //   16
        3511,1822,2785,4607,1193,2226,5070,4608, 171,2996,1247,  18, 179,5071, 856,1661, //   32
        1262,5072, 619, 127,3431,3512,3230,1899,1700, 232, 228,1294,1298, 284, 283,2041, //   48
        2042,1061,1062,  48,  49,  44,  45, 433, 434,1040,1041, 996, 787,2997,1255,4305, //   64
        2108,4609,1684,1648,5073,5074,5075,5076,5077,5078,3687,5079,4610,5080,3927,3928, //   80
        5081,3296,3432, 290,2285,1471,2187,5082,2580,2825,1303,2140,1739,1445,2691,3375, //   96
        1691,3297,4306,4307,4611, 452,3376,1182,2713,3688,3069,4308,5083,5084,5085,5086, //  112
        5087,5088,5089,5090,5091,5092,5093,5094,5095,5096,5097,5098,5099,5100,5101,5102, //  128
        5103,5104,5105,5106,5107,5108,5109,5110,5111,5112,4097,5113,5114,5115,5116,5117, //  144
        5118,5119,5120,5121,5122,5123,5124,5125,5126,5127,5128,5129,5130,5131,5132,5133, //  160
        5134,5135,5136,5137,5138,5139,5140,5141,5142,5143,5144,5145,5146,5147,5148,5149, //  176
        5150,5151,5152,4612,5153,5154,5155,5156,5157,5158,5159,5160,5161,5162,5163,5164, //  192
        5165,5166,5167,5168,5169,5170,5171,5172,5173,5174,5175,1472, 598, 618, 820,1205, //  208
        1309,1412,1858,1307,1692,5176,5177,5178,5179,5180,5181,5182,1142,1452,1234,1172, //  224
        1875,2043,2149,1793,1382,2973, 925,2404,1067,1241, 960,1377,2935,1491, 919,1217, //  240
        1865,2030,1406,1499,2749,4098,5183,5184,5185,5186,5187,5188,2561,4099,3117,1804, //  256
        2049,3689,4309,3513,1663,5189,3166,3118,3298,1587,1561,3433,5190,3119,1625,2998, //  272
        3299,4613,1766,3690,2786,4614,5191,5192,5193,5194,2161,  26,3377,   2,3929,  20, //  288
        3691,  47,4100,  50,  17,  16,  35, 268,  27, 243,  42, 155,  24, 154,  29, 184, //  304
           4,  91,  14,  92,  53, 396,  33, 289,   9,  37,  64, 620,  21,  39, 321,   5, //  320
          12,  11,  52,  13,   3, 208, 138,   0,   7,  60, 526, 141, 151,1069, 181, 275, //  336
        1591,  83, 132,1475, 126, 331, 829,  15,  69, 160,  59,  22, 157,  55,1079, 312, //  352
         109,  38,  23,  25,  10,  19,  79,5195,  61, 382,1124,   8,  30,5196,5197,5198, //  368
        5199,5200,5201,5202,5203,5204,5205,5206,  89,  62,  74,  34,2416, 112, 139, 196, //  384
         271, 149,  84, 607, 131, 765,  46,  88, 153, 683,  76, 874, 101, 258,  57,  80, //  400
          32, 364, 121,1508, 169,1547,  68, 235, 145,2999,  41, 360,3027,  70,  63,  31, //  416
          43, 259, 262,1383,  99, 533, 194,  66,  93, 846, 217, 192,  56, 106,  58, 565, //  432
         280, 272, 311, 256, 146,  82, 308,  71, 100, 128, 214, 655, 110, 261, 104,1140, //  448
          54,  51,  36,  87,  67,3070, 185,2618,2936,2020,  28,1066,2390,2059,5207,5208, //  464
        5209,5210,5211,5212,5213,5214,5215,5216,4615,5217,5218,5219,5220,5221,5222,5223, //  480
        5224,5225,5226,5227,5228,5229,5230,5231,5232,5233,5234,5235,5236,3514,5237,5238, //  496
        5239,5240,5241,5242,5243,5244,2297,2031,4616,4310,3692,5245,3071,5246,3598,5247, //  512
        4617,3231,3515,5248,4101,4311,4618,3808,4312,4102,5249,4103,4104,3599,5250,5251, //  528
        5252,5253,5254,5255,5256,5257,5258,5259,5260,5261,5262,5263,5264,5265,5266,5267, //  544
        5268,5269,5270,5271,5272,5273,5274,5275,5276,5277,5278,5279,5280,5281,5282,5283, //  560
        5284,5285,5286,5287,5288,5289,5290,5291,5292,5293,5294,5295,5296,5297,5298,5299, //  576
        5300,5301,5302,5303,5304,5305,5306,5307,5308,5309,5310,5311,5312,5313,5314,5315, //  592
        5316,5317,5318,5319,5320,5321,5322,5323,5324,5325,5326,5327,5328,5329,5330,5331, //  608
        5332,5333,5334,5335,5336,5337,5338,5339,5340,5341,5342,5343,5344,5345,5346,5347, //  624
        5348,5349,5350,5351,5352,5353,5354,5355,5356,5357,5358,5359,5360,5361,5362,5363, //  640
        5364,5365,5366,5367,5368,5369,5370,5371,5372,5373,5374,5375,5376,5377,5378,5379, //  656
        5380,5381, 363, 642,2787,2878,2788,2789,2316,3232,2317,3434,2011, 165,1942,3930, //  672
        3931,3932,3933,5382,4619,5383,4620,5384,5385,5386,5387,5388,5389,5390,5391,5392, //  688
        5393,5394,5395,5396,5397,5398,5399,5400,5401,5402,5403,5404,5405,5406,5407,5408, //  704
        5409,5410,5411,5412,5413,5414,5415,5416,5417,5418,5419,5420,5421,5422,5423,5424, //  720
        5425,5426,5427,5428,5429,5430,5431,5432,5433,5434,5435,5436,5437,5438,5439,5440, //  736
        5441,5442,5443,5444,5445,5446,5447,5448,5449,5450,5451,5452,5453,5454,5455,5456, //  752
        5457,5458,5459,5460,5461,5462,5463,5464,5465,5466,5467,5468,5469,5470,5471,5472, //  768
        5473,5474,5475,5476,5477,5478,5479,5480,5481,5482,5483,5484,5485,5486,5487,5488, //  784
        5489,5490,5491,5492,5493,5494,5495,5496,5497,5498,5499,5500,5501,5502,5503,5504, //  800
        5505,5506,5507,5508,5509,5510,5511,5512,5513,5514,5515,5516,5517,5518,5519,5520, //  816
        5521,5522,5523,5524,5525,5526,5527,5528,5529,5530,5531,5532,5533,5534,5535,5536, //  832
        5537,5538,5539,5540,5541,5542,5543,5544,5545,5546,5547,5548,5549,5550,5551,5552, //  848
        5553,5554,5555,5556,5557,5558,5559,5560,5561,5562,5563,5564,5565,5566,5567,5568, //  864
        5569,5570,5571,5572,5573,5574,5575,5576,5577,5578,5579,5580,5581,5582,5583,5584, //  880
        5585,5586,5587,5588,5589,5590,5591,5592,5593,5594,5595,5596,5597,5598,5599,5600, //  896
        5601,5602,5603,5604,5605,5606,5607,5608,5609,5610,5611,5612,5613,5614,5615,5616, //  912
        5617,5618,5619,5620,5621,5622,5623,5624,5625,5626,5627,5628,5629,5630,5631,5632, //  928
        5633,5634,5635,5636,5637,5638,5639,5640,5641,5642,5643,5644,5645,5646,5647,5648, //  944
        5649,5650,5651,5652,5653,5654,5655,5656,5657,5658,5659,5660,5661,5662,5663,5664, //  960
        5665,5666,5667,5668,5669,5670,5671,5672,5673,5674,5675,5676,5677,5678,5679,5680, //  976
        5681,5682,5683,5684,5685,5686,5687,5688,5689,5690,5691,5692,5693,5694,5695,5696, //  992
        5697,5698,5699,5700,5701,5702,5703,5704,5705,5706,5707,5708,5709,5710,5711,5712, // 1008
        5713,5714,5715,5716,5717,5718,5719,5720,5721,5722,5723,5724,5725,5726,5727,5728, // 1024
        5729,5730,5731,5732,5733,5734,5735,5736,5737,5738,5739,5740,5741,5742,5743,5744, // 1040
        5745,5746,5747,5748,5749,5750,5751,5752,5753,5754,5755,5756,5757,5758,5759,5760, // 1056
        5761,5762,5763,5764,5765,5766,5767,5768,5769,5770,5771,5772,5773,5774,5775,5776, // 1072
        5777,5778,5779,5780,5781,5782,5783,5784,5785,5786,5787,5788,5789,5790,5791,5792, // 1088
        5793,5794,5795,5796,5797,5798,5799,5800,5801,5802,5803,5804,5805,5806,5807,5808, // 1104
        5809,5810,5811,5812,5813,5814,5815,5816,5817,5818,5819,5820,5821,5822,5823,5824, // 1120
        5825,5826,5827,5828,5829,5830,5831,5832,5833,5834,5835,5836,5837,5838,5839,5840, // 1136
        5841,5842,5843,5844,5845,5846,5847,5848,5849,5850,5851,5852,5853,5854,5855,5856, // 1152
        5857,5858,5859,5860,5861,5862,5863,5864,5865,5866,5867,5868,5869,5870,5871,5872, // 1168
        5873,5874,5875,5876,5877,5878,5879,5880,5881,5882,5883,5884,5885,5886,5887,5888, // 1184
        5889,5890,5891,5892,5893,5894,5895,5896,5897,5898,5899,5900,5901,5902,5903,5904, // 1200
        5905,5906,5907,5908,5909,5910,5911,5912,5913,5914,5915,5916,5917,5918,5919,5920, // 1216
        5921,5922,5923,5924,5925,5926,5927,5928,5929,5930,5931,5932,5933,5934,5935,5936, // 1232
        5937,5938,5939,5940,5941,5942,5943,5944,5945,5946,5947,5948,5949,5950,5951,5952, // 1248
        5953,5954,5955,5956,5957,5958,5959,5960,5961,5962,5963,5964,5965,5966,5967,5968, // 1264
        5969,5970,5971,5972,5973,5974,5975,5976,5977,5978,5979,5980,5981,5982,5983,5984, // 1280
        5985,5986,5987,5988,5989,5990,5991,5992,5993,5994,5995,5996,5997,5998,5999,6000, // 1296
        6001,6002,6003,6004,6005,6006,6007,6008,6009,6010,6011,6012,6013,6014,6015,6016, // 1312
        6017,6018,6019,6020,6021,6022,6023,6024,6025,6026,6027,6028,6029,6030,6031,6032, // 1328
        6033,6034,6035,6036,6037,6038,6039,6040,6041,6042,6043,6044,6045,6046,6047,6048, // 1344
        6049,6050,6051,6052,6053,6054,6055,6056,6057,6058,6059,6060,6061,6062,6063,6064, // 1360
        6065,6066,6067,6068,6069,6070,6071,6072,6073,6074,6075,6076,6077,6078,6079,6080, // 1376
        6081,6082,6083,6084,6085,6086,6087,6088,6089,6090,6091,6092,6093,6094,6095,6096, // 1392
        6097,6098,6099,6100,6101,6102,6103,6104,6105,6106,6107,6108,6109,6110,6111,6112, // 1408
        6113,6114,2044,2060,4621, 997,1235, 473,1186,4622, 920,3378,6115,6116, 379,1108, // 1424
        4313,2657,2735,3934,6117,3809, 636,3233, 573,1026,3693,3435,2974,3300,2298,4105, // 1440
         854,2937,2463, 393,2581,2417, 539, 752,1280,2750,2480, 140,1161, 440, 708,1569, // 1456
         665,2497,1746,1291,1523,3000, 164,1603, 847,1331, 537,1997, 486, 508,1693,2418, // 1472
        1970,2227, 878,1220, 299,1030, 969, 652,2751, 624,1137,3301,2619,  65,3302,2045, // 1488
        1761,1859,3120,1930,3694,3516, 663,1767, 852, 835,3695, 269, 767,2826,2339,1305, // 1504
         896,1150, 770,1616,6118, 506,1502,2075,1012,2519, 775,2520,2975,2340,2938,4314, // 1520
        3028,2086,1224,1943,2286,6119,3072,4315,2240,1273,1987,3935,1557, 175, 597, 985, // 1536
        3517,2419,2521,1416,3029, 585, 938,1931,1007,1052,1932,1685,6120,3379,4316,4623, // 1552
         804, 599,3121,1333,2128,2539,1159,1554,2032,3810, 687,2033,2904, 952, 675,1467, // 1568
        3436,6121,2241,1096,1786,2440,1543,1924, 980,1813,2228, 781,2692,1879, 728,1918, // 1584
        3696,4624, 548,1950,4625,1809,1088,1356,3303,2522,1944, 502, 972, 373, 513,2827, // 1600
         586,2377,2391,1003,1976,1631,6122,2464,1084, 648,1776,4626,2141, 324, 962,2012, // 1616
        2177,2076,1384, 742,2178,1448,1173,1810, 222, 102, 301, 445, 125,2420, 662,2498, // 1632
         277, 200,1476,1165,1068, 224,2562,1378,1446, 450,1880, 659, 791, 582,4627,2939, // 1648
        3936,1516,1274, 555,2099,3697,1020,1389,1526,3380,1762,1723,1787,2229, 412,2114, // 1664
        1900,2392,3518, 512,2597, 427,1925,2341,3122,1653,1686,2465,2499, 697, 330, 273, // 1680
         380,2162, 951, 832, 780, 991,1301,3073, 965,2270,3519, 668,2523,2636,1286, 535, // 1696
        1407, 518, 671, 957,2658,2378, 267, 611,2197,3030,6123, 248,2299, 967,1799,2356, // 1712
         850,1418,3437,1876,1256,1480,2828,1718,6124,6125,1755,1664,2405,6126,4628,2879, // 1728
        2829, 499,2179, 676,4629, 557,2329,2214,2090, 325,3234, 464, 811,3001, 992,2342, // 1744
        2481,1232,1469, 303,2242, 466,1070,2163, 603,1777,2091,4630,2752,4631,2714, 322, // 1760
        2659,1964,1768, 481,2188,1463,2330,2857,3600,2092,3031,2421,4632,2318,2070,1849, // 1776
        2598,4633,1302,2254,1668,1701,2422,3811,2905,3032,3123,2046,4106,1763,1694,4634, // 1792
        1604, 943,1724,1454, 917, 868,2215,1169,2940, 552,1145,1800,1228,1823,1955, 316, // 1808
        1080,2510, 361,1807,2830,4107,2660,3381,1346,1423,1134,4108,6127, 541,1263,1229, // 1824
        1148,2540, 545, 465,1833,2880,3438,1901,3074,2482, 816,3937, 713,1788,2500, 122, // 1840
        1575, 195,1451,2501,1111,6128, 859, 374,1225,2243,2483,4317, 390,1033,3439,3075, // 1856
        2524,1687, 266, 793,1440,2599, 946, 779, 802, 507, 897,1081, 528,2189,1292, 711, // 1872
        1866,1725,1167,1640, 753, 398,2661,1053, 246, 348,4318, 137,1024,3440,1600,2077, // 1888
        2129, 825,4319, 698, 238, 521, 187,2300,1157,2423,1641,1605,1464,1610,1097,2541, // 1904
        1260,1436, 759,2255,1814,2150, 705,3235, 409,2563,3304, 561,3033,2005,2564, 726, // 1920
        1956,2343,3698,4109, 949,3812,3813,3520,1669, 653,1379,2525, 881,2198, 632,2256, // 1936
        1027, 778,1074, 733,1957, 514,1481,2466, 554,2180, 702,3938,1606,1017,1398,6129, // 1952
        1380,3521, 921, 993,1313, 594, 449,1489,1617,1166, 768,1426,1360, 495,1794,3601, // 1968
        1177,3602,1170,4320,2344, 476, 425,3167,4635,3168,1424, 401,2662,1171,3382,1998, // 1984
        1089,4110, 477,3169, 474,6130,1909, 596,2831,1842, 494, 693,1051,1028,1207,3076, // 2000
         606,2115, 727,2790,1473,1115, 743,3522, 630, 805,1532,4321,2021, 366,1057, 838, // 2016
         684,1114,2142,4322,2050,1492,1892,1808,2271,3814,2424,1971,1447,1373,3305,1090, // 2032
        1536,3939,3523,3306,1455,2199, 336, 369,2331,1035, 584,2393, 902, 718,2600,6131, // 2048
        2753, 463,2151,1149,1611,2467, 715,1308,3124,1268, 343,1413,3236,1517,1347,2663, // 2064
        2093,3940,2022,1131,1553,2100,2941,1427,3441,2942,1323,2484,6132,1980, 872,2368, // 2080
        2441,2943, 320,2369,2116,1082, 679,1933,3941,2791,3815, 625,1143,2023, 422,2200, // 2096
        3816,6133, 730,1695, 356,2257,1626,2301,2858,2637,1627,1778, 937, 883,2906,2693, // 2112
        3002,1769,1086, 400,1063,1325,3307,2792,4111,3077, 456,2345,1046, 747,6134,1524, // 2128
         884,1094,3383,1474,2164,1059, 974,1688,2181,2258,1047, 345,1665,1187, 358, 875, // 2144
        3170, 305, 660,3524,2190,1334,1135,3171,1540,1649,2542,1527, 927, 968,2793, 885, // 2160
        1972,1850, 482, 500,2638,1218,1109,1085,2543,1654,2034, 876,  78,2287,1482,1277, // 2176
         861,1675,1083,1779, 724,2754, 454, 397,1132,1612,2332, 893, 672,1237, 257,2259, // 2192
        2370, 135,3384, 337,2244, 547, 352, 340, 709,2485,1400, 788,1138,2511, 540, 772, // 2208
        1682,2260,2272,2544,2013,1843,1902,4636,1999,1562,2288,4637,2201,1403,1533, 407, // 2224
         576,3308,1254,2071, 978,3385, 170, 136,1201,3125,2664,3172,2394, 213, 912, 873, // 2240
        3603,1713,2202, 699,3604,3699, 813,3442, 493, 531,1054, 468,2907,1483, 304, 281, // 2256
        4112,1726,1252,2094, 339,2319,2130,2639, 756,1563,2944, 748, 571,2976,1588,2425, // 2272
        2715,1851,1460,2426,1528,1392,1973,3237, 288,3309, 685,3386, 296, 892,2716,2216, // 2288
        1570,2245, 722,1747,2217, 905,3238,1103,6135,1893,1441,1965, 251,1805,2371,3700, // 2304
        2601,1919,1078,  75,2182,1509,1592,1270,2640,4638,2152,6136,3310,3817, 524, 706, // 2320
        1075, 292,3818,1756,2602, 317,  98,3173,3605,3525,1844,2218,3819,2502, 814, 567, // 2336
         385,2908,1534,6137, 534,1642,3239, 797,6138,1670,1529, 953,4323, 188,1071, 538, // 2352
         178, 729,3240,2109,1226,1374,2000,2357,2977, 731,2468,1116,2014,2051,6139,1261, // 2368
        1593, 803,2859,2736,3443, 556, 682, 823,1541,6140,1369,2289,1706,2794, 845, 462, // 2384
        2603,2665,1361, 387, 162,2358,1740, 739,1770,1720,1304,1401,3241,1049, 627,1571, // 2400
        2427,3526,1877,3942,1852,1500, 431,1910,1503, 677, 297,2795, 286,1433,1038,1198, // 2416
        2290,1133,1596,4113,4639,2469,1510,1484,3943,6141,2442, 108, 712,4640,2372, 866, // 2432
        3701,2755,3242,1348, 834,1945,1408,3527,2395,3243,1811, 824, 994,1179,2110,1548, // 2448
        1453, 790,3003, 690,4324,4325,2832,2909,3820,1860,3821, 225,1748, 310, 346,1780, // 2464
        2470, 821,1993,2717,2796, 828, 877,3528,2860,2471,1702,2165,2910,2486,1789, 453, // 2480
         359,2291,1676,  73,1164,1461,1127,3311, 421, 604, 314,1037, 589, 116,2487, 737, // 2496
         837,1180, 111, 244, 735,6142,2261,1861,1362, 986, 523, 418, 581,2666,3822, 103, // 2512
         855, 503,1414,1867,2488,1091, 657,1597, 979, 605,1316,4641,1021,2443,2078,2001, // 2528
        1209,  96, 587,2166,1032, 260,1072,2153, 173,  94, 226,3244, 819,2006,4642,4114, // 2544
        2203, 231,1744, 782,  97,2667, 786,3387, 887, 391, 442,2219,4326,1425,6143,2694, // 2560
         633,1544,1202, 483,2015, 592,2052,1958,2472,1655, 419, 129,4327,3444,3312,1714, // 2576
        1257,3078,4328,1518,1098, 865,1310,1019,1885,1512,1734, 469,2444, 148, 773, 436, // 2592
        1815,1868,1128,1055,4329,1245,2756,3445,2154,1934,1039,4643, 579,1238, 932,2320, // 2608
         353, 205, 801, 115,2428, 944,2321,1881, 399,2565,1211, 678, 766,3944, 335,2101, // 2624
        1459,1781,1402,3945,2737,2131,1010, 844, 981,1326,1013, 550,1816,1545,2620,1335, // 2640
        1008, 371,2881, 936,1419,1613,3529,1456,1395,2273,1834,2604,1317,2738,2503, 416, // 2656
        1643,4330, 806,1126, 229, 591,3946,1314,1981,1576,1837,1666, 347,1790, 977,3313, // 2672
         764,2861,1853, 688,2429,1920,1462,  77, 595, 415,2002,3034, 798,1192,4115,6144, // 2688
        2978,4331,3035,2695,2582,2072,2566, 430,2430,1727, 842,1396,3947,3702, 613, 377, // 2704
         278, 236,1417,3388,3314,3174, 757,1869, 107,3530,6145,1194, 623,2262, 207,1253, // 2720
        2167,3446,3948, 492,1117,1935, 536,1838,2757,1246,4332, 696,2095,2406,1393,1572, // 2736
        3175,1782, 583, 190, 253,1390,2230, 830,3126,3389, 934,3245,1703,1749,2979,1870, // 2752
        2545,1656,2204, 869,2346,4116,3176,1817, 496,1764,4644, 942,1504, 404,1903,1122, // 2768
        1580,3606,2945,1022, 515, 372,1735, 955,2431,3036,6146,2797,1110,2302,2798, 617, // 2784
        6147, 441, 762,1771,3447,3607,3608,1904, 840,3037,  86, 939,1385, 572,1370,2445, // 2800
        1336, 114,3703, 898, 294, 203,3315, 703,1583,2274, 429, 961,4333,1854,1951,3390, // 2816
        2373,3704,4334,1318,1381, 966,1911,2322,1006,1155, 309, 989, 458,2718,1795,1372, // 2832
        1203, 252,1689,1363,3177, 517,1936, 168,1490, 562, 193,3823,1042,4117,1835, 551, // 2848
         470,4645, 395, 489,3448,1871,1465,2583,2641, 417,1493, 279,1295, 511,1236,1119, // 2864
          72,1231,1982,1812,3004, 871,1564, 984,3449,1667,2696,2096,4646,2347,2833,1673, // 2880
        3609, 695,3246,2668, 807,1183,4647, 890, 388,2333,1801,1457,2911,1765,1477,1031, // 2896
        3316,3317,1278,3391,2799,2292,2526, 163,3450,4335,2669,1404,1802,6148,2323,2407, // 2912
        1584,1728,1494,1824,1269, 298, 909,3318,1034,1632, 375, 776,1683,2061, 291, 210, // 2928
        1123, 809,1249,1002,2642,3038, 206,1011,2132, 144, 975, 882,1565, 342, 667, 754, // 2944
        1442,2143,1299,2303,2062, 447, 626,2205,1221,2739,2912,1144,1214,2206,2584, 760, // 2960
        1715, 614, 950,1281,2670,2621, 810, 577,1287,2546,4648, 242,2168, 250,2643, 691, // 2976
         123,2644, 647, 313,1029, 689,1357,2946,1650, 216, 771,1339,1306, 808,2063, 549, // 2992
         913,1371,2913,2914,6149,1466,1092,1174,1196,1311,2605,2396,1783,1796,3079, 406, // 3008
        2671,2117,3949,4649, 487,1825,2220,6150,2915, 448,2348,1073,6151,2397,1707, 130, // 3024
         900,1598, 329, 176,1959,2527,1620,6152,2275,4336,3319,1983,2191,3705,3610,2155, // 3040
        3706,1912,1513,1614,6153,1988, 646, 392,2304,1589,3320,3039,1826,1239,1352,1340, // 3056
        2916, 505,2567,1709,1437,2408,2547, 906,6154,2672, 384,1458,1594,1100,1329, 710, // 3072
         423,3531,2064,2231,2622,1989,2673,1087,1882, 333, 841,3005,1296,2882,2379, 580, // 3088
        1937,1827,1293,2585, 601, 574, 249,1772,4118,2079,1120, 645, 901,1176,1690, 795, // 3104
        2207, 478,1434, 516,1190,1530, 761,2080, 930,1264, 355, 435,1552, 644,1791, 987, // 3120
         220,1364,1163,1121,1538, 306,2169,1327,1222, 546,2645, 218, 241, 610,1704,3321, // 3136
        1984,1839,1966,2528, 451,6155,2586,3707,2568, 907,3178, 254,2947, 186,1845,4650, // 3152
         745, 432,1757, 428,1633, 888,2246,2221,2489,3611,2118,1258,1265, 956,3127,1784, // 3168
        4337,2490, 319, 510, 119, 457,3612, 274,2035,2007,4651,1409,3128, 970,2758, 590, // 3184
        2800, 661,2247,4652,2008,3950,1420,1549,3080,3322,3951,1651,1375,2111, 485,2491, // 3200
        1429,1156,6156,2548,2183,1495, 831,1840,2529,2446, 501,1657, 307,1894,3247,1341, // 3216
         666, 899,2156,1539,2549,1559, 886, 349,2208,3081,2305,1736,3824,2170,2759,1014, // 3232
        1913,1386, 542,1397,2948, 490, 368, 716, 362, 159, 282,2569,1129,1658,1288,1750, // 3248
        2674, 276, 649,2016, 751,1496, 658,1818,1284,1862,2209,2087,2512,3451, 622,2834, // 3264
         376, 117,1060,2053,1208,1721,1101,1443, 247,1250,3179,1792,3952,2760,2398,3953, // 3280
        6157,2144,3708, 446,2432,1151,2570,3452,2447,2761,2835,1210,2448,3082, 424,2222, // 3296
        1251,2449,2119,2836, 504,1581,4338, 602, 817, 857,3825,2349,2306, 357,3826,1470, // 3312
        1883,2883, 255, 958, 929,2917,3248, 302,4653,1050,1271,1751,2307,1952,1430,2697, // 3328
        2719,2359, 354,3180, 777, 158,2036,4339,1659,4340,4654,2308,2949,2248,1146,2232, // 3344
        3532,2720,1696,2623,3827,6158,3129,1550,2698,1485,1297,1428, 637, 931,2721,2145, // 3360
         914,2550,2587,  81,2450, 612, 827,2646,1242,4655,1118,2884, 472,1855,3181,3533, // 3376
        3534, 569,1353,2699,1244,1758,2588,4119,2009,2762,2171,3709,1312,1531,6159,1152, // 3392
        1938, 134,1830, 471,3710,2276,1112,1535,3323,3453,3535, 982,1337,2950, 488, 826, // 3408
         674,1058,1628,4120,2017, 522,2399, 211, 568,1367,3454, 350, 293,1872,1139,3249, // 3424
        1399,1946,3006,1300,2360,3324, 588, 736,6160,2606, 744, 669,3536,3828,6161,1358, // 3440
         199, 723, 848, 933, 851,1939,1505,1514,1338,1618,1831,4656,1634,3613, 443,2740, // 3456
        3829, 717,1947, 491,1914,6162,2551,1542,4121,1025,6163,1099,1223, 198,3040,2722, // 3472
         370, 410,1905,2589, 998,1248,3182,2380, 519,1449,4122,1710, 947, 928,1153,4341, // 3488
        2277, 344,2624,1511, 615, 105, 161,1212,1076,1960,3130,2054,1926,1175,1906,2473, // 3504
         414,1873,2801,6164,2309, 315,1319,3325, 318,2018,2146,2157, 963, 631, 223,4342, // 3520
        4343,2675, 479,3711,1197,2625,3712,2676,2361,6165,4344,4123,6166,2451,3183,1886, // 3536
        2184,1674,1330,1711,1635,1506, 799, 219,3250,3083,3954,1677,3713,3326,2081,3614, // 3552
        1652,2073,4657,1147,3041,1752, 643,1961, 147,1974,3955,6167,1716,2037, 918,3007, // 3568
        1994, 120,1537, 118, 609,3184,4345, 740,3455,1219, 332,1615,3830,6168,1621,2980, // 3584
        1582, 783, 212, 553,2350,3714,1349,2433,2082,4124, 889,6169,2310,1275,1410, 973, // 3600
         166,1320,3456,1797,1215,3185,2885,1846,2590,2763,4658, 629, 822,3008, 763, 940, // 3616
        1990,2862, 439,2409,1566,1240,1622, 926,1282,1907,2764, 654,2210,1607, 327,1130, // 3632
        3956,1678,1623,6170,2434,2192, 686, 608,3831,3715, 903,3957,3042,6171,2741,1522, // 3648
        1915,1105,1555,2552,1359, 323,3251,4346,3457, 738,1354,2553,2311,2334,1828,2003, // 3664
        3832,1753,2351,1227,6172,1887,4125,1478,6173,2410,1874,1712,1847, 520,1204,2607, // 3680
         264,4659, 836,2677,2102, 600,4660,3833,2278,3084,6174,4347,3615,1342, 640, 532, // 3696
         543,2608,1888,2400,2591,1009,4348,1497, 341,1737,3616,2723,1394, 529,3252,1321, // 3712
         983,4661,1515,2120, 971,2592, 924, 287,1662,3186,4349,2700,4350,1519, 908,1948, // 3728
        2452, 156, 796,1629,1486,2223,2055, 694,4126,1259,1036,3392,1213,2249,2742,1889, // 3744
        1230,3958,1015, 910, 408, 559,3617,4662, 746, 725, 935,4663,3959,3009,1289, 563, // 3760
         867,4664,3960,1567,2981,2038,2626, 988,2263,2381,4351, 143,2374, 704,1895,6175, // 3776
        1188,3716,2088, 673,3085,2362,4352, 484,1608,1921,2765,2918, 215, 904,3618,3537, // 3792
         894, 509, 976,3043,2701,3961,4353,2837,2982, 498,6176,6177,1102,3538,1332,3393, // 3808
        1487,1636,1637, 233, 245,3962, 383, 650, 995,3044, 460,1520,1206,2352, 749,3327, // 3824
         530, 700, 389,1438,1560,1773,3963,2264, 719,2951,2724,3834, 870,1832,1644,1000, // 3840
         839,2474,3717, 197,1630,3394, 365,2886,3964,1285,2133, 734, 922, 818,1106, 732, // 3856
         480,2083,1774,3458, 923,2279,1350, 221,3086,  85,2233,2234,3835,1585,3010,2147, // 3872
        1387,1705,2382,1619,2475, 133, 239,2802,1991,1016,2084,2383, 411,2838,1113, 651, // 3888
        1985,1160,3328, 990,1863,3087,1048,1276,2647, 265,2627,1599,3253,2056, 150, 638, // 3904
        2019, 656, 853, 326,1479, 680,1439,4354,1001,1759, 413,3459,3395,2492,1431, 459, // 3920
        4355,1125,3329,2265,1953,1450,2065,2863, 849, 351,2678,3131,3254,3255,1104,1577, // 3936
         227,1351,1645,2453,2193,1421,2887, 812,2121, 634,  95,2435, 201,2312,4665,1646, // 3952
        1671,2743,1601,2554,2702,2648,2280,1315,1366,2089,3132,1573,3718,3965,1729,1189, // 3968
         328,2679,1077,1940,1136, 558,1283, 964,1195, 621,2074,1199,1743,3460,3619,1896, // 3984
        1916,1890,3836,2952,1154,2112,1064, 862, 378,3011,2066,2113,2803,1568,2839,6178, // 4000
        3088,2919,1941,1660,2004,1992,2194, 142, 707,1590,1708,1624,1922,1023,1836,1233, // 4016
        1004,2313, 789, 741,3620,6179,1609,2411,1200,4127,3719,3720,4666,2057,3721, 593, // 4032
        2840, 367,2920,1878,6180,3461,1521, 628,1168, 692,2211,2649, 300, 720,2067,2571, // 4048
        2953,3396, 959,2504,3966,3539,3462,1977, 701,6181, 954,1043, 800, 681, 183,3722, // 4064
        1803,1730,3540,4128,2103, 815,2314, 174, 467, 230,2454,1093,2134, 755,3541,3397, // 4080
        1141,1162,6182,1738,2039, 270,3256,2513,1005,1647,2185,3837, 858,1679,1897,1719, // 4096
        2954,2324,1806, 402, 670, 167,4129,1498,2158,2104, 750,6183, 915, 189,1680,1551, // 4112
         455,4356,1501,2455, 405,1095,2955, 338,1586,1266,1819, 570, 641,1324, 237,1556, // 4128
        2650,1388,3723,6184,1368,2384,1343,1978,3089,2436, 879,3724, 792,1191, 758,3012, // 4144
        1411,2135,1322,4357, 240,4667,1848,3725,1574,6185, 420,3045,1546,1391, 714,4358, // 4160
        1967, 941,1864, 863, 664, 426, 560,1731,2680,1785,2864,1949,2363, 403,3330,1415, // 4176
        1279,2136,1697,2335, 204, 721,2097,3838,  90,6186,2085,2505, 191,3967, 124,2148, // 4192
        1376,1798,1178,1107,1898,1405, 860,4359,1243,1272,2375,2983,1558,2456,1638, 113, // 4208
        3621, 578,1923,2609, 880, 386,4130, 784,2186,2266,1422,2956,2172,1722, 497, 263, // 4224
        2514,1267,2412,2610, 177,2703,3542, 774,1927,1344, 616,1432,1595,1018, 172,4360, // 4240
        2325, 911,4361, 438,1468,3622, 794,3968,2024,2173,1681,1829,2957, 945, 895,3090, // 4256
         575,2212,2476, 475,2401,2681, 785,2744,1745,2293,2555,1975,3133,2865, 394,4668, // 4272
        3839, 635,4131, 639, 202,1507,2195,2766,1345,1435,2572,3726,1908,1184,1181,2457, // 4288
        3727,3134,4362, 843,2611, 437, 916,4669, 234, 769,1884,3046,3047,3623, 833,6187, // 4304
        1639,2250,2402,1355,1185,2010,2047, 999, 525,1732,1290,1488,2612, 948,1578,3728, // 4320
        2413,2477,1216,2725,2159, 334,3840,1328,3624,2921,1525,4132, 564,1056, 891,4363, // 4336
        1444,1698,2385,2251,3729,1365,2281,2235,1717,6188, 864,3841,2515, 444, 527,2767, // 4352
        2922,3625, 544, 461,6189, 566, 209,2437,3398,2098,1065,2068,3331,3626,3257,2137, // 4368  //last 512

        /*************************************************************************************** 
         *Everything below is of no interest for detection purpose							   *
         ***************************************************************************************

        2138,2122,3730,2888,1995,1820,1044,6190,6191,6192,6193,6194,6195,6196,6197,6198, // 4384
        6199,6200,6201,6202,6203,6204,6205,4670,6206,6207,6208,6209,6210,6211,6212,6213, // 4400
        6214,6215,6216,6217,6218,6219,6220,6221,6222,6223,6224,6225,6226,6227,6228,6229, // 4416
        6230,6231,6232,6233,6234,6235,6236,6237,3187,6238,6239,3969,6240,6241,6242,6243, // 4432
        6244,4671,6245,6246,4672,6247,6248,4133,6249,6250,4364,6251,2923,2556,2613,4673, // 4448
        4365,3970,6252,6253,6254,6255,4674,6256,6257,6258,2768,2353,4366,4675,4676,3188, // 4464
        4367,3463,6259,4134,4677,4678,6260,2267,6261,3842,3332,4368,3543,6262,6263,6264, // 4480
        3013,1954,1928,4135,4679,6265,6266,2478,3091,6267,4680,4369,6268,6269,1699,6270, // 4496
        3544,4136,4681,6271,4137,6272,4370,2804,6273,6274,2593,3971,3972,4682,6275,2236, // 4512
        4683,6276,6277,4684,6278,6279,4138,3973,4685,6280,6281,3258,6282,6283,6284,6285, // 4528
        3974,4686,2841,3975,6286,6287,3545,6288,6289,4139,4687,4140,6290,4141,6291,4142, // 4544
        6292,6293,3333,6294,6295,6296,4371,6297,3399,6298,6299,4372,3976,6300,6301,6302, // 4560
        4373,6303,6304,3843,3731,6305,4688,4374,6306,6307,3259,2294,6308,3732,2530,4143, // 4576
        6309,4689,6310,6311,6312,3048,6313,6314,4690,3733,2237,6315,6316,2282,3334,6317, // 4592
        6318,3844,6319,6320,4691,6321,3400,4692,6322,4693,6323,3049,6324,4375,6325,3977, // 4608
        6326,6327,6328,3546,6329,4694,3335,6330,4695,4696,6331,6332,6333,6334,4376,3978, // 4624
        6335,4697,3979,4144,6336,3980,4698,6337,6338,6339,6340,6341,4699,4700,4701,6342, // 4640
        6343,4702,6344,6345,4703,6346,6347,4704,6348,4705,4706,3135,6349,4707,6350,4708, // 4656
        6351,4377,6352,4709,3734,4145,6353,2506,4710,3189,6354,3050,4711,3981,6355,3547, // 4672
        3014,4146,4378,3735,2651,3845,3260,3136,2224,1986,6356,3401,6357,4712,2594,3627, // 4688
        3137,2573,3736,3982,4713,3628,4714,4715,2682,3629,4716,6358,3630,4379,3631,6359, // 4704
        6360,6361,3983,6362,6363,6364,6365,4147,3846,4717,6366,6367,3737,2842,6368,4718, // 4720
        2628,6369,3261,6370,2386,6371,6372,3738,3984,4719,3464,4720,3402,6373,2924,3336, // 4736
        4148,2866,6374,2805,3262,4380,2704,2069,2531,3138,2806,2984,6375,2769,6376,4721, // 4752
        4722,3403,6377,6378,3548,6379,6380,2705,3092,1979,4149,2629,3337,2889,6381,3338, // 4768
        4150,2557,3339,4381,6382,3190,3263,3739,6383,4151,4723,4152,2558,2574,3404,3191, // 4784
        6384,6385,4153,6386,4724,4382,6387,6388,4383,6389,6390,4154,6391,4725,3985,6392, // 4800
        3847,4155,6393,6394,6395,6396,6397,3465,6398,4384,6399,6400,6401,6402,6403,6404, // 4816
        4156,6405,6406,6407,6408,2123,6409,6410,2326,3192,4726,6411,6412,6413,6414,4385, // 4832
        4157,6415,6416,4158,6417,3093,3848,6418,3986,6419,6420,3849,6421,6422,6423,4159, // 4848
        6424,6425,4160,6426,3740,6427,6428,6429,6430,3987,6431,4727,6432,2238,6433,6434, // 4864
        4386,3988,6435,6436,3632,6437,6438,2843,6439,6440,6441,6442,3633,6443,2958,6444, // 4880
        6445,3466,6446,2364,4387,3850,6447,4388,2959,3340,6448,3851,6449,4728,6450,6451, // 4896
        3264,4729,6452,3193,6453,4389,4390,2706,3341,4730,6454,3139,6455,3194,6456,3051, // 4912
        2124,3852,1602,4391,4161,3853,1158,3854,4162,3989,4392,3990,4731,4732,4393,2040, // 4928
        4163,4394,3265,6457,2807,3467,3855,6458,6459,6460,3991,3468,4733,4734,6461,3140, // 4944
        2960,6462,4735,6463,6464,6465,6466,4736,4737,4738,4739,6467,6468,4164,2403,3856, // 4960
        6469,6470,2770,2844,6471,4740,6472,6473,6474,6475,6476,6477,6478,3195,6479,4741, // 4976
        4395,6480,2867,6481,4742,2808,6482,2493,4165,6483,6484,6485,6486,2295,4743,6487, // 4992
        6488,6489,3634,6490,6491,6492,6493,6494,6495,6496,2985,4744,6497,6498,4745,6499, // 5008
        6500,2925,3141,4166,6501,6502,4746,6503,6504,4747,6505,6506,6507,2890,6508,6509, // 5024
        6510,6511,6512,6513,6514,6515,6516,6517,6518,6519,3469,4167,6520,6521,6522,4748, // 5040
        4396,3741,4397,4749,4398,3342,2125,4750,6523,4751,4752,4753,3052,6524,2961,4168, // 5056
        6525,4754,6526,4755,4399,2926,4169,6527,3857,6528,4400,4170,6529,4171,6530,6531, // 5072
        2595,6532,6533,6534,6535,3635,6536,6537,6538,6539,6540,6541,6542,4756,6543,6544, // 5088
        6545,6546,6547,6548,4401,6549,6550,6551,6552,4402,3405,4757,4403,6553,6554,6555, // 5104
        4172,3742,6556,6557,6558,3992,3636,6559,6560,3053,2726,6561,3549,4173,3054,4404, // 5120
        6562,6563,3993,4405,3266,3550,2809,4406,6564,6565,6566,4758,4759,6567,3743,6568, // 5136
        4760,3744,4761,3470,6569,6570,6571,4407,6572,3745,4174,6573,4175,2810,4176,3196, // 5152
        4762,6574,4177,6575,6576,2494,2891,3551,6577,6578,3471,6579,4408,6580,3015,3197, // 5168
        6581,3343,2532,3994,3858,6582,3094,3406,4409,6583,2892,4178,4763,4410,3016,4411, // 5184
        6584,3995,3142,3017,2683,6585,4179,6586,6587,4764,4412,6588,6589,4413,6590,2986, // 5200
        6591,2962,3552,6592,2963,3472,6593,6594,4180,4765,6595,6596,2225,3267,4414,6597, // 5216
        3407,3637,4766,6598,6599,3198,6600,4415,6601,3859,3199,6602,3473,4767,2811,4416, // 5232
        1856,3268,3200,2575,3996,3997,3201,4417,6603,3095,2927,6604,3143,6605,2268,6606, // 5248
        3998,3860,3096,2771,6607,6608,3638,2495,4768,6609,3861,6610,3269,2745,4769,4181, // 5264
        3553,6611,2845,3270,6612,6613,6614,3862,6615,6616,4770,4771,6617,3474,3999,4418, // 5280
        4419,6618,3639,3344,6619,4772,4182,6620,2126,6621,6622,6623,4420,4773,6624,3018, // 5296
        6625,4774,3554,6626,4183,2025,3746,6627,4184,2707,6628,4421,4422,3097,1775,4185, // 5312
        3555,6629,6630,2868,6631,6632,4423,6633,6634,4424,2414,2533,2928,6635,4186,2387, // 5328
        6636,4775,6637,4187,6638,1891,4425,3202,3203,6639,6640,4776,6641,3345,6642,6643, // 5344
        3640,6644,3475,3346,3641,4000,6645,3144,6646,3098,2812,4188,3642,3204,6647,3863, // 5360
        3476,6648,3864,6649,4426,4001,6650,6651,6652,2576,6653,4189,4777,6654,6655,6656, // 5376
        2846,6657,3477,3205,4002,6658,4003,6659,3347,2252,6660,6661,6662,4778,6663,6664, // 5392
        6665,6666,6667,6668,6669,4779,4780,2048,6670,3478,3099,6671,3556,3747,4004,6672, // 5408
        6673,6674,3145,4005,3748,6675,6676,6677,6678,6679,3408,6680,6681,6682,6683,3206, // 5424
        3207,6684,6685,4781,4427,6686,4782,4783,4784,6687,6688,6689,4190,6690,6691,3479, // 5440
        6692,2746,6693,4428,6694,6695,6696,6697,6698,6699,4785,6700,6701,3208,2727,6702, // 5456
        3146,6703,6704,3409,2196,6705,4429,6706,6707,6708,2534,1996,6709,6710,6711,2747, // 5472
        6712,6713,6714,4786,3643,6715,4430,4431,6716,3557,6717,4432,4433,6718,6719,6720, // 5488
        6721,3749,6722,4006,4787,6723,6724,3644,4788,4434,6725,6726,4789,2772,6727,6728, // 5504
        6729,6730,6731,2708,3865,2813,4435,6732,6733,4790,4791,3480,6734,6735,6736,6737, // 5520
        4436,3348,6738,3410,4007,6739,6740,4008,6741,6742,4792,3411,4191,6743,6744,6745, // 5536
        6746,6747,3866,6748,3750,6749,6750,6751,6752,6753,6754,6755,3867,6756,4009,6757, // 5552
        4793,4794,6758,2814,2987,6759,6760,6761,4437,6762,6763,6764,6765,3645,6766,6767, // 5568
        3481,4192,6768,3751,6769,6770,2174,6771,3868,3752,6772,6773,6774,4193,4795,4438, // 5584
        3558,4796,4439,6775,4797,6776,6777,4798,6778,4799,3559,4800,6779,6780,6781,3482, // 5600
        6782,2893,6783,6784,4194,4801,4010,6785,6786,4440,6787,4011,6788,6789,6790,6791, // 5616
        6792,6793,4802,6794,6795,6796,4012,6797,6798,6799,6800,3349,4803,3483,6801,4804, // 5632
        4195,6802,4013,6803,6804,4196,6805,4014,4015,6806,2847,3271,2848,6807,3484,6808, // 5648
        6809,6810,4441,6811,4442,4197,4443,3272,4805,6812,3412,4016,1579,6813,6814,4017, // 5664
        6815,3869,6816,2964,6817,4806,6818,6819,4018,3646,6820,6821,4807,4019,4020,6822, // 5680
        6823,3560,6824,6825,4021,4444,6826,4198,6827,6828,4445,6829,6830,4199,4808,6831, // 5696
        6832,6833,3870,3019,2458,6834,3753,3413,3350,6835,4809,3871,4810,3561,4446,6836, // 5712
        6837,4447,4811,4812,6838,2459,4448,6839,4449,6840,6841,4022,3872,6842,4813,4814, // 5728
        6843,6844,4815,4200,4201,4202,6845,4023,6846,6847,4450,3562,3873,6848,6849,4816, // 5744
        4817,6850,4451,4818,2139,6851,3563,6852,6853,3351,6854,6855,3352,4024,2709,3414, // 5760
        4203,4452,6856,4204,6857,6858,3874,3875,6859,6860,4819,6861,6862,6863,6864,4453, // 5776
        3647,6865,6866,4820,6867,6868,6869,6870,4454,6871,2869,6872,6873,4821,6874,3754, // 5792
        6875,4822,4205,6876,6877,6878,3648,4206,4455,6879,4823,6880,4824,3876,6881,3055, // 5808
        4207,6882,3415,6883,6884,6885,4208,4209,6886,4210,3353,6887,3354,3564,3209,3485, // 5824
        2652,6888,2728,6889,3210,3755,6890,4025,4456,6891,4825,6892,6893,6894,6895,4211, // 5840
        6896,6897,6898,4826,6899,6900,4212,6901,4827,6902,2773,3565,6903,4828,6904,6905, // 5856
        6906,6907,3649,3650,6908,2849,3566,6909,3567,3100,6910,6911,6912,6913,6914,6915, // 5872
        4026,6916,3355,4829,3056,4457,3756,6917,3651,6918,4213,3652,2870,6919,4458,6920, // 5888
        2438,6921,6922,3757,2774,4830,6923,3356,4831,4832,6924,4833,4459,3653,2507,6925, // 5904
        4834,2535,6926,6927,3273,4027,3147,6928,3568,6929,6930,6931,4460,6932,3877,4461, // 5920
        2729,3654,6933,6934,6935,6936,2175,4835,2630,4214,4028,4462,4836,4215,6937,3148, // 5936
        4216,4463,4837,4838,4217,6938,6939,2850,4839,6940,4464,6941,6942,6943,4840,6944, // 5952
        4218,3274,4465,6945,6946,2710,6947,4841,4466,6948,6949,2894,6950,6951,4842,6952, // 5968
        4219,3057,2871,6953,6954,6955,6956,4467,6957,2711,6958,6959,6960,3275,3101,4843, // 5984
        6961,3357,3569,6962,4844,6963,6964,4468,4845,3570,6965,3102,4846,3758,6966,4847, // 6000
        3878,4848,4849,4029,6967,2929,3879,4850,4851,6968,6969,1733,6970,4220,6971,6972, // 6016
        6973,6974,6975,6976,4852,6977,6978,6979,6980,6981,6982,3759,6983,6984,6985,3486, // 6032
        3487,6986,3488,3416,6987,6988,6989,6990,6991,6992,6993,6994,6995,6996,6997,4853, // 6048
        6998,6999,4030,7000,7001,3211,7002,7003,4221,7004,7005,3571,4031,7006,3572,7007, // 6064
        2614,4854,2577,7008,7009,2965,3655,3656,4855,2775,3489,3880,4222,4856,3881,4032, // 6080
        3882,3657,2730,3490,4857,7010,3149,7011,4469,4858,2496,3491,4859,2283,7012,7013, // 6096
        7014,2365,4860,4470,7015,7016,3760,7017,7018,4223,1917,7019,7020,7021,4471,7022, // 6112
        2776,4472,7023,7024,7025,7026,4033,7027,3573,4224,4861,4034,4862,7028,7029,1929, // 6128
        3883,4035,7030,4473,3058,7031,2536,3761,3884,7032,4036,7033,2966,2895,1968,4474, // 6144
        3276,4225,3417,3492,4226,2105,7034,7035,1754,2596,3762,4227,4863,4475,3763,4864, // 6160
        3764,2615,2777,3103,3765,3658,3418,4865,2296,3766,2815,7036,7037,7038,3574,2872, // 6176
        3277,4476,7039,4037,4477,7040,7041,4038,7042,7043,7044,7045,7046,7047,2537,7048, // 6192
        7049,7050,7051,7052,7053,7054,4478,7055,7056,3767,3659,4228,3575,7057,7058,4229, // 6208
        7059,7060,7061,3660,7062,3212,7063,3885,4039,2460,7064,7065,7066,7067,7068,7069, // 6224
        7070,7071,7072,7073,7074,4866,3768,4867,7075,7076,7077,7078,4868,3358,3278,2653, // 6240
        7079,7080,4479,3886,7081,7082,4869,7083,7084,7085,7086,7087,7088,2538,7089,7090, // 6256
        7091,4040,3150,3769,4870,4041,2896,3359,4230,2930,7092,3279,7093,2967,4480,3213, // 6272
        4481,3661,7094,7095,7096,7097,7098,7099,7100,7101,7102,2461,3770,7103,7104,4231, // 6288
        3151,7105,7106,7107,4042,3662,7108,7109,4871,3663,4872,4043,3059,7110,7111,7112, // 6304
        3493,2988,7113,4873,7114,7115,7116,3771,4874,7117,7118,4232,4875,7119,3576,2336, // 6320
        4876,7120,4233,3419,4044,4877,4878,4482,4483,4879,4484,4234,7121,3772,4880,1045, // 6336
        3280,3664,4881,4882,7122,7123,7124,7125,4883,7126,2778,7127,4485,4486,7128,4884, // 6352
        3214,3887,7129,7130,3215,7131,4885,4045,7132,7133,4046,7134,7135,7136,7137,7138, // 6368
        7139,7140,7141,7142,7143,4235,7144,4886,7145,7146,7147,4887,7148,7149,7150,4487, // 6384
        4047,4488,7151,7152,4888,4048,2989,3888,7153,3665,7154,4049,7155,7156,7157,7158, // 6400
        7159,7160,2931,4889,4890,4489,7161,2631,3889,4236,2779,7162,7163,4891,7164,3060, // 6416
        7165,1672,4892,7166,4893,4237,3281,4894,7167,7168,3666,7169,3494,7170,7171,4050, // 6432
        7172,7173,3104,3360,3420,4490,4051,2684,4052,7174,4053,7175,7176,7177,2253,4054, // 6448
        7178,7179,4895,7180,3152,3890,3153,4491,3216,7181,7182,7183,2968,4238,4492,4055, // 6464
        7184,2990,7185,2479,7186,7187,4493,7188,7189,7190,7191,7192,4896,7193,4897,2969, // 6480
        4494,4898,7194,3495,7195,7196,4899,4495,7197,3105,2731,7198,4900,7199,7200,7201, // 6496
        4056,7202,3361,7203,7204,4496,4901,4902,7205,4497,7206,7207,2315,4903,7208,4904, // 6512
        7209,4905,2851,7210,7211,3577,7212,3578,4906,7213,4057,3667,4907,7214,4058,2354, // 6528
        3891,2376,3217,3773,7215,7216,7217,7218,7219,4498,7220,4908,3282,2685,7221,3496, // 6544
        4909,2632,3154,4910,7222,2337,7223,4911,7224,7225,7226,4912,4913,3283,4239,4499, // 6560
        7227,2816,7228,7229,7230,7231,7232,7233,7234,4914,4500,4501,7235,7236,7237,2686, // 6576
        7238,4915,7239,2897,4502,7240,4503,7241,2516,7242,4504,3362,3218,7243,7244,7245, // 6592
        4916,7246,7247,4505,3363,7248,7249,7250,7251,3774,4506,7252,7253,4917,7254,7255, // 6608
        3284,2991,4918,4919,3219,3892,4920,3106,3497,4921,7256,7257,7258,4922,7259,4923, // 6624
        3364,4507,4508,4059,7260,4240,3498,7261,7262,4924,7263,2992,3893,4060,3220,7264, // 6640
        7265,7266,7267,7268,7269,4509,3775,7270,2817,7271,4061,4925,4510,3776,7272,4241, // 6656
        4511,3285,7273,7274,3499,7275,7276,7277,4062,4512,4926,7278,3107,3894,7279,7280, // 6672
        4927,7281,4513,7282,7283,3668,7284,7285,4242,4514,4243,7286,2058,4515,4928,4929, // 6688
        4516,7287,3286,4244,7288,4517,7289,7290,7291,3669,7292,7293,4930,4931,4932,2355, // 6704
        4933,7294,2633,4518,7295,4245,7296,7297,4519,7298,7299,4520,4521,4934,7300,4246, // 6720
        4522,7301,7302,7303,3579,7304,4247,4935,7305,4936,7306,7307,7308,7309,3777,7310, // 6736
        4523,7311,7312,7313,4248,3580,7314,4524,3778,4249,7315,3581,7316,3287,7317,3221, // 6752
        7318,4937,7319,7320,7321,7322,7323,7324,4938,4939,7325,4525,7326,7327,7328,4063, // 6768
        7329,7330,4940,7331,7332,4941,7333,4526,7334,3500,2780,1741,4942,2026,1742,7335, // 6784
        7336,3582,4527,2388,7337,7338,7339,4528,7340,4250,4943,7341,7342,7343,4944,7344, // 6800
        7345,7346,3020,7347,4945,7348,7349,7350,7351,3895,7352,3896,4064,3897,7353,7354, // 6816
        7355,4251,7356,7357,3898,7358,3779,7359,3780,3288,7360,7361,4529,7362,4946,4530, // 6832
        2027,7363,3899,4531,4947,3222,3583,7364,4948,7365,7366,7367,7368,4949,3501,4950, // 6848
        3781,4951,4532,7369,2517,4952,4252,4953,3155,7370,4954,4955,4253,2518,4533,7371, // 6864
        7372,2712,4254,7373,7374,7375,3670,4956,3671,7376,2389,3502,4065,7377,2338,7378, // 6880
        7379,7380,7381,3061,7382,4957,7383,7384,7385,7386,4958,4534,7387,7388,2993,7389, // 6896
        3062,7390,4959,7391,7392,7393,4960,3108,4961,7394,4535,7395,4962,3421,4536,7396, // 6912
        4963,7397,4964,1857,7398,4965,7399,7400,2176,3584,4966,7401,7402,3422,4537,3900, // 6928
        3585,7403,3782,7404,2852,7405,7406,7407,4538,3783,2654,3423,4967,4539,7408,3784, // 6944
        3586,2853,4540,4541,7409,3901,7410,3902,7411,7412,3785,3109,2327,3903,7413,7414, // 6960
        2970,4066,2932,7415,7416,7417,3904,3672,3424,7418,4542,4543,4544,7419,4968,7420, // 6976
        7421,4255,7422,7423,7424,7425,7426,4067,7427,3673,3365,4545,7428,3110,2559,3674, // 6992
        7429,7430,3156,7431,7432,3503,7433,3425,4546,7434,3063,2873,7435,3223,4969,4547, // 7008
        4548,2898,4256,4068,7436,4069,3587,3786,2933,3787,4257,4970,4971,3788,7437,4972, // 7024
        3064,7438,4549,7439,7440,7441,7442,7443,4973,3905,7444,2874,7445,7446,7447,7448, // 7040
        3021,7449,4550,3906,3588,4974,7450,7451,3789,3675,7452,2578,7453,4070,7454,7455, // 7056
        7456,4258,3676,7457,4975,7458,4976,4259,3790,3504,2634,4977,3677,4551,4260,7459, // 7072
        7460,7461,7462,3907,4261,4978,7463,7464,7465,7466,4979,4980,7467,7468,2213,4262, // 7088
        7469,7470,7471,3678,4981,7472,2439,7473,4263,3224,3289,7474,3908,2415,4982,7475, // 7104
        4264,7476,4983,2655,7477,7478,2732,4552,2854,2875,7479,7480,4265,7481,4553,4984, // 7120
        7482,7483,4266,7484,3679,3366,3680,2818,2781,2782,3367,3589,4554,3065,7485,4071, // 7136
        2899,7486,7487,3157,2462,4072,4555,4073,4985,4986,3111,4267,2687,3368,4556,4074, // 7152
        3791,4268,7488,3909,2783,7489,2656,1962,3158,4557,4987,1963,3159,3160,7490,3112, // 7168
        4988,4989,3022,4990,4991,3792,2855,7491,7492,2971,4558,7493,7494,4992,7495,7496, // 7184
        7497,7498,4993,7499,3426,4559,4994,7500,3681,4560,4269,4270,3910,7501,4075,4995, // 7200
        4271,7502,7503,4076,7504,4996,7505,3225,4997,4272,4077,2819,3023,7506,7507,2733, // 7216
        4561,7508,4562,7509,3369,3793,7510,3590,2508,7511,7512,4273,3113,2994,2616,7513, // 7232
        7514,7515,7516,7517,7518,2820,3911,4078,2748,7519,7520,4563,4998,7521,7522,7523, // 7248
        7524,4999,4274,7525,4564,3682,2239,4079,4565,7526,7527,7528,7529,5000,7530,7531, // 7264
        5001,4275,3794,7532,7533,7534,3066,5002,4566,3161,7535,7536,4080,7537,3162,7538, // 7280
        7539,4567,7540,7541,7542,7543,7544,7545,5003,7546,4568,7547,7548,7549,7550,7551, // 7296
        7552,7553,7554,7555,7556,5004,7557,7558,7559,5005,7560,3795,7561,4569,7562,7563, // 7312
        7564,2821,3796,4276,4277,4081,7565,2876,7566,5006,7567,7568,2900,7569,3797,3912, // 7328
        7570,7571,7572,4278,7573,7574,7575,5007,7576,7577,5008,7578,7579,4279,2934,7580, // 7344
        7581,5009,7582,4570,7583,4280,7584,7585,7586,4571,4572,3913,7587,4573,3505,7588, // 7360
        5010,7589,7590,7591,7592,3798,4574,7593,7594,5011,7595,4281,7596,7597,7598,4282, // 7376
        5012,7599,7600,5013,3163,7601,5014,7602,3914,7603,7604,2734,4575,4576,4577,7605, // 7392
        7606,7607,7608,7609,3506,5015,4578,7610,4082,7611,2822,2901,2579,3683,3024,4579, // 7408
        3507,7612,4580,7613,3226,3799,5016,7614,7615,7616,7617,7618,7619,7620,2995,3290, // 7424
        7621,4083,7622,5017,7623,7624,7625,7626,7627,4581,3915,7628,3291,7629,5018,7630, // 7440
        7631,7632,7633,4084,7634,7635,3427,3800,7636,7637,4582,7638,5019,4583,5020,7639, // 7456
        3916,7640,3801,5021,4584,4283,7641,7642,3428,3591,2269,7643,2617,7644,4585,3592, // 7472
        7645,4586,2902,7646,7647,3227,5022,7648,4587,7649,4284,7650,7651,7652,4588,2284, // 7488
        7653,5023,7654,7655,7656,4589,5024,3802,7657,7658,5025,3508,4590,7659,7660,7661, // 7504
        1969,5026,7662,7663,3684,1821,2688,7664,2028,2509,4285,7665,2823,1841,7666,2689, // 7520
        3114,7667,3917,4085,2160,5027,5028,2972,7668,5029,7669,7670,7671,3593,4086,7672, // 7536
        4591,4087,5030,3803,7673,7674,7675,7676,7677,7678,7679,4286,2366,4592,4593,3067, // 7552
        2328,7680,7681,4594,3594,3918,2029,4287,7682,5031,3919,3370,4288,4595,2856,7683, // 7568
        3509,7684,7685,5032,5033,7686,7687,3804,2784,7688,7689,7690,7691,3371,7692,7693, // 7584
        2877,5034,7694,7695,3920,4289,4088,7696,7697,7698,5035,7699,5036,4290,5037,5038, // 7600
        5039,7700,7701,7702,5040,5041,3228,7703,1760,7704,5042,3229,4596,2106,4089,7705, // 7616
        4597,2824,5043,2107,3372,7706,4291,4090,5044,7707,4091,7708,5045,3025,3805,4598, // 7632
        4292,4293,4294,3373,7709,4599,7710,5046,7711,7712,5047,5048,3806,7713,7714,7715, // 7648
        5049,7716,7717,7718,7719,4600,5050,7720,7721,7722,5051,7723,4295,3429,7724,7725, // 7664
        7726,7727,3921,7728,3292,5052,4092,7729,7730,7731,7732,7733,7734,7735,5053,5054, // 7680
        7736,7737,7738,7739,3922,3685,7740,7741,7742,7743,2635,5055,7744,5056,4601,7745, // 7696
        7746,2560,7747,7748,7749,7750,3923,7751,7752,7753,7754,7755,4296,2903,7756,7757, // 7712
        7758,7759,7760,3924,7761,5057,4297,7762,7763,5058,4298,7764,4093,7765,7766,5059, // 7728
        3925,7767,7768,7769,7770,7771,7772,7773,7774,7775,7776,3595,7777,4299,5060,4094, // 7744
        7778,3293,5061,7779,7780,4300,7781,7782,4602,7783,3596,7784,7785,3430,2367,7786, // 7760
        3164,5062,5063,4301,7787,7788,4095,5064,5065,7789,3374,3115,7790,7791,7792,7793, // 7776
        7794,7795,7796,3597,4603,7797,7798,3686,3116,3807,5066,7799,7800,5067,7801,7802, // 7792
        4604,4302,5068,4303,4096,7803,7804,3294,7805,7806,5069,4605,2690,7807,3026,7808, // 7808
        7809,7810,7811,7812,7813,7814,7815,7816,7817,7818,7819,7820,7821,7822,7823,7824, // 7824
        7825,7826,7827,7828,7829,7830,7831,7832,7833,7834,7835,7836,7837,7838,7839,7840, // 7840
        7841,7842,7843,7844,7845,7846,7847,7848,7849,7850,7851,7852,7853,7854,7855,7856, // 7856
        7857,7858,7859,7860,7861,7862,7863,7864,7865,7866,7867,7868,7869,7870,7871,7872, // 7872
        7873,7874,7875,7876,7877,7878,7879,7880,7881,7882,7883,7884,7885,7886,7887,7888, // 7888
        7889,7890,7891,7892,7893,7894,7895,7896,7897,7898,7899,7900,7901,7902,7903,7904, // 7904
        7905,7906,7907,7908,7909,7910,7911,7912,7913,7914,7915,7916,7917,7918,7919,7920, // 7920
        7921,7922,7923,7924,3926,7925,7926,7927,7928,7929,7930,7931,7932,7933,7934,7935, // 7936
        7936,7937,7938,7939,7940,7941,7942,7943,7944,7945,7946,7947,7948,7949,7950,7951, // 7952
        7952,7953,7954,7955,7956,7957,7958,7959,7960,7961,7962,7963,7964,7965,7966,7967, // 7968
        7968,7969,7970,7971,7972,7973,7974,7975,7976,7977,7978,7979,7980,7981,7982,7983, // 7984
        7984,7985,7986,7987,7988,7989,7990,7991,7992,7993,7994,7995,7996,7997,7998,7999, // 8000
        8000,8001,8002,8003,8004,8005,8006,8007,8008,8009,8010,8011,8012,8013,8014,8015, // 8016
        8016,8017,8018,8019,8020,8021,8022,8023,8024,8025,8026,8027,8028,8029,8030,8031, // 8032
        8032,8033,8034,8035,8036,8037,8038,8039,8040,8041,8042,8043,8044,8045,8046,8047, // 8048
        8048,8049,8050,8051,8052,8053,8054,8055,8056,8057,8058,8059,8060,8061,8062,8063, // 8064
        8064,8065,8066,8067,8068,8069,8070,8071,8072,8073,8074,8075,8076,8077,8078,8079, // 8080
        8080,8081,8082,8083,8084,8085,8086,8087,8088,8089,8090,8091,8092,8093,8094,8095, // 8096
        8096,8097,8098,8099,8100,8101,8102,8103,8104,8105,8106,8107,8108,8109,8110,8111, // 8112
        8112,8113,8114,8115,8116,8117,8118,8119,8120,8121,8122,8123,8124,8125,8126,8127, // 8128
        8128,8129,8130,8131,8132,8133,8134,8135,8136,8137,8138,8139,8140,8141,8142,8143, // 8144
        8144,8145,8146,8147,8148,8149,8150,8151,8152,8153,8154,8155,8156,8157,8158,8159, // 8160
        8160,8161,8162,8163,8164,8165,8166,8167,8168,8169,8170,8171,8172,8173,8174,8175, // 8176
        8176,8177,8178,8179,8180,8181,8182,8183,8184,8185,8186,8187,8188,8189,8190,8191, // 8192
        8192,8193,8194,8195,8196,8197,8198,8199,8200,8201,8202,8203,8204,8205,8206,8207, // 8208
        8208,8209,8210,8211,8212,8213,8214,8215,8216,8217,8218,8219,8220,8221,8222,8223, // 8224
        8224,8225,8226,8227,8228,8229,8230,8231,8232,8233,8234,8235,8236,8237,8238,8239, // 8240
        8240,8241,8242,8243,8244,8245,8246,8247,8248,8249,8250,8251,8252,8253,8254,8255, // 8256
        8256,8257,8258,8259,8260,8261,8262,8263,8264,8265,8266,8267,8268,8269,8270,8271, // 8272
        ****************************************************************************************/
        };        
        public SJISDistributionAnalyser()
        {
            charToFreqOrder = SJIS_CHAR2FREQ_ORDER;
            tableSize = SJIS_TABLE_SIZE;
            typicalDistributionRatio = SJIS_TYPICAL_DISTRIBUTION_RATIO;        
        }
        
        /// <summary>
        /// first  byte range: 0x81 -- 0x9f , 0xe0 -- 0xfe
        ///  second byte range: 0x40 -- 0x7e,  0x81 -- oxfe
        /// no validation needed here. State machine has done that
        /// </summary>
        public override int GetOrder(byte[] buf, int offset) 
        { 
            int order = 0;
            
            if (buf[offset] >= 0x81 && buf[offset] <= 0x9F)  
                order = 188 * (buf[offset] - 0x81);
            else if (buf[offset] >= 0xE0 && buf[offset] <= 0xEF)  
                order = 188 * (buf[offset] - 0xE0 + 31);
            else
                return -1;
            order += buf[offset+1] - 0x40;
            
            if (buf[offset+1] > 0x7F)
                order--;
            return order;
        }
    }

    public class EUCJPDistributionAnalyser : SJISDistributionAnalyser
    {
        public EUCJPDistributionAnalyser() : base()
        {
        }
        
        /// <summary>
        /// first  byte range: 0xa0 -- 0xfe
        ///  second byte range: 0xa1 -- 0xfe
        /// no validation needed here. State machine has done that
        /// </summary>
        public override int GetOrder(byte[] buf, int offset) 
        { 
            if (buf[offset] >= 0xA0)  
                return 94 * (buf[offset] - 0xA1) + buf[offset+1] - 0xA1;
            else
                return -1;
        }
    }

    
}