imgtable.h

#ifndef NA_IMAGE_TABLE_H_ 
#define NA_IMAGE_TABLE_H_ 
#define IMG_LUT_WIDTH 64 
#define IMG_LUT_HEIGHT 64 
static const uint16_t LUTFromApt[64][64] = {
0,256,512,768,16,272,528,784,32,288,544,800,48,304,560,816,64,320,576,832,80,336,592,848,96,352,608,864,112,368,624,880,128,384,640,896,144,400,656,912,160,416,672,928,176,432,688,944,192,448,704,960,208,464,720,976,224,480,736,992,240,496,752,1008,
1024,1280,1536,1792,1040,1296,1552,1808,1056,1312,1568,1824,1072,1328,1584,1840,1088,1344,1600,1856,1104,1360,1616,1872,1120,1376,1632,1888,1136,1392,1648,1904,1152,1408,1664,1920,1168,1424,1680,1936,1184,1440,1696,1952,1200,1456,1712,1968,1216,1472,1728,1984,1232,1488,1744,2000,1248,1504,1760,2016,1264,1520,1776,2032,
2048,2304,2560,2816,2064,2320,2576,2832,2080,2336,2592,2848,2096,2352,2608,2864,2112,2368,2624,2880,2128,2384,2640,2896,2144,2400,2656,2912,2160,2416,2672,2928,2176,2432,2688,2944,2192,2448,2704,2960,2208,2464,2720,2976,2224,2480,2736,2992,2240,2496,2752,3008,2256,2512,2768,3024,2272,2528,2784,3040,2288,2544,2800,3056,
3072,3328,3584,3840,3088,3344,3600,3856,3104,3360,3616,3872,3120,3376,3632,3888,3136,3392,3648,3904,3152,3408,3664,3920,3168,3424,3680,3936,3184,3440,3696,3952,3200,3456,3712,3968,3216,3472,3728,3984,3232,3488,3744,4000,3248,3504,3760,4016,3264,3520,3776,4032,3280,3536,3792,4048,3296,3552,3808,4064,3312,3568,3824,4080,
3073,3329,3585,3841,3089,3345,3601,3857,3105,3361,3617,3873,3121,3377,3633,3889,3137,3393,3649,3905,3153,3409,3665,3921,3169,3425,3681,3937,3185,3441,3697,3953,3201,3457,3713,3969,3217,3473,3729,3985,3233,3489,3745,4001,3249,3505,3761,4017,3265,3521,3777,4033,3281,3537,3793,4049,3297,3553,3809,4065,3313,3569,3825,4081,
2049,2305,2561,2817,2065,2321,2577,2833,2081,2337,2593,2849,2097,2353,2609,2865,2113,2369,2625,2881,2129,2385,2641,2897,2145,2401,2657,2913,2161,2417,2673,2929,2177,2433,2689,2945,2193,2449,2705,2961,2209,2465,2721,2977,2225,2481,2737,2993,2241,2497,2753,3009,2257,2513,2769,3025,2273,2529,2785,3041,2289,2545,2801,3057,
1025,1281,1537,1793,1041,1297,1553,1809,1057,1313,1569,1825,1073,1329,1585,1841,1089,1345,1601,1857,1105,1361,1617,1873,1121,1377,1633,1889,1137,1393,1649,1905,1153,1409,1665,1921,1169,1425,1681,1937,1185,1441,1697,1953,1201,1457,1713,1969,1217,1473,1729,1985,1233,1489,1745,2001,1249,1505,1761,2017,1265,1521,1777,2033,
1,257,513,769,17,273,529,785,33,289,545,801,49,305,561,817,65,321,577,833,81,337,593,849,97,353,609,865,113,369,625,881,129,385,641,897,145,401,657,913,161,417,673,929,177,433,689,945,193,449,705,961,209,465,721,977,225,481,737,993,241,497,753,1009,
2,258,514,770,18,274,530,786,34,290,546,802,50,306,562,818,66,322,578,834,82,338,594,850,98,354,610,866,114,370,626,882,130,386,642,898,146,402,658,914,162,418,674,930,178,434,690,946,194,450,706,962,210,466,722,978,226,482,738,994,242,498,754,1010,
1026,1282,1538,1794,1042,1298,1554,1810,1058,1314,1570,1826,1074,1330,1586,1842,1090,1346,1602,1858,1106,1362,1618,1874,1122,1378,1634,1890,1138,1394,1650,1906,1154,1410,1666,1922,1170,1426,1682,1938,1186,1442,1698,1954,1202,1458,1714,1970,1218,1474,1730,1986,1234,1490,1746,2002,1250,1506,1762,2018,1266,1522,1778,2034,
2050,2306,2562,2818,2066,2322,2578,2834,2082,2338,2594,2850,2098,2354,2610,2866,2114,2370,2626,2882,2130,2386,2642,2898,2146,2402,2658,2914,2162,2418,2674,2930,2178,2434,2690,2946,2194,2450,2706,2962,2210,2466,2722,2978,2226,2482,2738,2994,2242,2498,2754,3010,2258,2514,2770,3026,2274,2530,2786,3042,2290,2546,2802,3058,
3074,3330,3586,3842,3090,3346,3602,3858,3106,3362,3618,3874,3122,3378,3634,3890,3138,3394,3650,3906,3154,3410,3666,3922,3170,3426,3682,3938,3186,3442,3698,3954,3202,3458,3714,3970,3218,3474,3730,3986,3234,3490,3746,4002,3250,3506,3762,4018,3266,3522,3778,4034,3282,3538,3794,4050,3298,3554,3810,4066,3314,3570,3826,4082,
3075,3331,3587,3843,3091,3347,3603,3859,3107,3363,3619,3875,3123,3379,3635,3891,3139,3395,3651,3907,3155,3411,3667,3923,3171,3427,3683,3939,3187,3443,3699,3955,3203,3459,3715,3971,3219,3475,3731,3987,3235,3491,3747,4003,3251,3507,3763,4019,3267,3523,3779,4035,3283,3539,3795,4051,3299,3555,3811,4067,3315,3571,3827,4083,
2051,2307,2563,2819,2067,2323,2579,2835,2083,2339,2595,2851,2099,2355,2611,2867,2115,2371,2627,2883,2131,2387,2643,2899,2147,2403,2659,2915,2163,2419,2675,2931,2179,2435,2691,2947,2195,2451,2707,2963,2211,2467,2723,2979,2227,2483,2739,2995,2243,2499,2755,3011,2259,2515,2771,3027,2275,2531,2787,3043,2291,2547,2803,3059,
1027,1283,1539,1795,1043,1299,1555,1811,1059,1315,1571,1827,1075,1331,1587,1843,1091,1347,1603,1859,1107,1363,1619,1875,1123,1379,1635,1891,1139,1395,1651,1907,1155,1411,1667,1923,1171,1427,1683,1939,1187,1443,1699,1955,1203,1459,1715,1971,1219,1475,1731,1987,1235,1491,1747,2003,1251,1507,1763,2019,1267,1523,1779,2035,
3,259,515,771,19,275,531,787,35,291,547,803,51,307,563,819,67,323,579,835,83,339,595,851,99,355,611,867,115,371,627,883,131,387,643,899,147,403,659,915,163,419,675,931,179,435,691,947,195,451,707,963,211,467,723,979,227,483,739,995,243,499,755,1011,
4,260,516,772,20,276,532,788,36,292,548,804,52,308,564,820,68,324,580,836,84,340,596,852,100,356,612,868,116,372,628,884,132,388,644,900,148,404,660,916,164,420,676,932,180,436,692,948,196,452,708,964,212,468,724,980,228,484,740,996,244,500,756,1012,
1028,1284,1540,1796,1044,1300,1556,1812,1060,1316,1572,1828,1076,1332,1588,1844,1092,1348,1604,1860,1108,1364,1620,1876,1124,1380,1636,1892,1140,1396,1652,1908,1156,1412,1668,1924,1172,1428,1684,1940,1188,1444,1700,1956,1204,1460,1716,1972,1220,1476,1732,1988,1236,1492,1748,2004,1252,1508,1764,2020,1268,1524,1780,2036,
2052,2308,2564,2820,2068,2324,2580,2836,2084,2340,2596,2852,2100,2356,2612,2868,2116,2372,2628,2884,2132,2388,2644,2900,2148,2404,2660,2916,2164,2420,2676,2932,2180,2436,2692,2948,2196,2452,2708,2964,2212,2468,2724,2980,2228,2484,2740,2996,2244,2500,2756,3012,2260,2516,2772,3028,2276,2532,2788,3044,2292,2548,2804,3060,
3076,3332,3588,3844,3092,3348,3604,3860,3108,3364,3620,3876,3124,3380,3636,3892,3140,3396,3652,3908,3156,3412,3668,3924,3172,3428,3684,3940,3188,3444,3700,3956,3204,3460,3716,3972,3220,3476,3732,3988,3236,3492,3748,4004,3252,3508,3764,4020,3268,3524,3780,4036,3284,3540,3796,4052,3300,3556,3812,4068,3316,3572,3828,4084,
3077,3333,3589,3845,3093,3349,3605,3861,3109,3365,3621,3877,3125,3381,3637,3893,3141,3397,3653,3909,3157,3413,3669,3925,3173,3429,3685,3941,3189,3445,3701,3957,3205,3461,3717,3973,3221,3477,3733,3989,3237,3493,3749,4005,3253,3509,3765,4021,3269,3525,3781,4037,3285,3541,3797,4053,3301,3557,3813,4069,3317,3573,3829,4085,
2053,2309,2565,2821,2069,2325,2581,2837,2085,2341,2597,2853,2101,2357,2613,2869,2117,2373,2629,2885,2133,2389,2645,2901,2149,2405,2661,2917,2165,2421,2677,2933,2181,2437,2693,2949,2197,2453,2709,2965,2213,2469,2725,2981,2229,2485,2741,2997,2245,2501,2757,3013,2261,2517,2773,3029,2277,2533,2789,3045,2293,2549,2805,3061,
1029,1285,1541,1797,1045,1301,1557,1813,1061,1317,1573,1829,1077,1333,1589,1845,1093,1349,1605,1861,1109,1365,1621,1877,1125,1381,1637,1893,1141,1397,1653,1909,1157,1413,1669,1925,1173,1429,1685,1941,1189,1445,1701,1957,1205,1461,1717,1973,1221,1477,1733,1989,1237,1493,1749,2005,1253,1509,1765,2021,1269,1525,1781,2037,
5,261,517,773,21,277,533,789,37,293,549,805,53,309,565,821,69,325,581,837,85,341,597,853,101,357,613,869,117,373,629,885,133,389,645,901,149,405,661,917,165,421,677,933,181,437,693,949,197,453,709,965,213,469,725,981,229,485,741,997,245,501,757,1013,
6,262,518,774,22,278,534,790,38,294,550,806,54,310,566,822,70,326,582,838,86,342,598,854,102,358,614,870,118,374,630,886,134,390,646,902,150,406,662,918,166,422,678,934,182,438,694,950,198,454,710,966,214,470,726,982,230,486,742,998,246,502,758,1014,
1030,1286,1542,1798,1046,1302,1558,1814,1062,1318,1574,1830,1078,1334,1590,1846,1094,1350,1606,1862,1110,1366,1622,1878,1126,1382,1638,1894,1142,1398,1654,1910,1158,1414,1670,1926,1174,1430,1686,1942,1190,1446,1702,1958,1206,1462,1718,1974,1222,1478,1734,1990,1238,1494,1750,2006,1254,1510,1766,2022,1270,1526,1782,2038,
2054,2310,2566,2822,2070,2326,2582,2838,2086,2342,2598,2854,2102,2358,2614,2870,2118,2374,2630,2886,2134,2390,2646,2902,2150,2406,2662,2918,2166,2422,2678,2934,2182,2438,2694,2950,2198,2454,2710,2966,2214,2470,2726,2982,2230,2486,2742,2998,2246,2502,2758,3014,2262,2518,2774,3030,2278,2534,2790,3046,2294,2550,2806,3062,
3078,3334,3590,3846,3094,3350,3606,3862,3110,3366,3622,3878,3126,3382,3638,3894,3142,3398,3654,3910,3158,3414,3670,3926,3174,3430,3686,3942,3190,3446,3702,3958,3206,3462,3718,3974,3222,3478,3734,3990,3238,3494,3750,4006,3254,3510,3766,4022,3270,3526,3782,4038,3286,3542,3798,4054,3302,3558,3814,4070,3318,3574,3830,4086,
3079,3335,3591,3847,3095,3351,3607,3863,3111,3367,3623,3879,3127,3383,3639,3895,3143,3399,3655,3911,3159,3415,3671,3927,3175,3431,3687,3943,3191,3447,3703,3959,3207,3463,3719,3975,3223,3479,3735,3991,3239,3495,3751,4007,3255,3511,3767,4023,3271,3527,3783,4039,3287,3543,3799,4055,3303,3559,3815,4071,3319,3575,3831,4087,
2055,2311,2567,2823,2071,2327,2583,2839,2087,2343,2599,2855,2103,2359,2615,2871,2119,2375,2631,2887,2135,2391,2647,2903,2151,2407,2663,2919,2167,2423,2679,2935,2183,2439,2695,2951,2199,2455,2711,2967,2215,2471,2727,2983,2231,2487,2743,2999,2247,2503,2759,3015,2263,2519,2775,3031,2279,2535,2791,3047,2295,2551,2807,3063,
1031,1287,1543,1799,1047,1303,1559,1815,1063,1319,1575,1831,1079,1335,1591,1847,1095,1351,1607,1863,1111,1367,1623,1879,1127,1383,1639,1895,1143,1399,1655,1911,1159,1415,1671,1927,1175,1431,1687,1943,1191,1447,1703,1959,1207,1463,1719,1975,1223,1479,1735,1991,1239,1495,1751,2007,1255,1511,1767,2023,1271,1527,1783,2039,
7,263,519,775,23,279,535,791,39,295,551,807,55,311,567,823,71,327,583,839,87,343,599,855,103,359,615,871,119,375,631,887,135,391,647,903,151,407,663,919,167,423,679,935,183,439,695,951,199,455,711,967,215,471,727,983,231,487,743,999,247,503,759,1015,
8,264,520,776,24,280,536,792,40,296,552,808,56,312,568,824,72,328,584,840,88,344,600,856,104,360,616,872,120,376,632,888,136,392,648,904,152,408,664,920,168,424,680,936,184,440,696,952,200,456,712,968,216,472,728,984,232,488,744,1000,248,504,760,1016,
1032,1288,1544,1800,1048,1304,1560,1816,1064,1320,1576,1832,1080,1336,1592,1848,1096,1352,1608,1864,1112,1368,1624,1880,1128,1384,1640,1896,1144,1400,1656,1912,1160,1416,1672,1928,1176,1432,1688,1944,1192,1448,1704,1960,1208,1464,1720,1976,1224,1480,1736,1992,1240,1496,1752,2008,1256,1512,1768,2024,1272,1528,1784,2040,
2056,2312,2568,2824,2072,2328,2584,2840,2088,2344,2600,2856,2104,2360,2616,2872,2120,2376,2632,2888,2136,2392,2648,2904,2152,2408,2664,2920,2168,2424,2680,2936,2184,2440,2696,2952,2200,2456,2712,2968,2216,2472,2728,2984,2232,2488,2744,3000,2248,2504,2760,3016,2264,2520,2776,3032,2280,2536,2792,3048,2296,2552,2808,3064,
3080,3336,3592,3848,3096,3352,3608,3864,3112,3368,3624,3880,3128,3384,3640,3896,3144,3400,3656,3912,3160,3416,3672,3928,3176,3432,3688,3944,3192,3448,3704,3960,3208,3464,3720,3976,3224,3480,3736,3992,3240,3496,3752,4008,3256,3512,3768,4024,3272,3528,3784,4040,3288,3544,3800,4056,3304,3560,3816,4072,3320,3576,3832,4088,
3081,3337,3593,3849,3097,3353,3609,3865,3113,3369,3625,3881,3129,3385,3641,3897,3145,3401,3657,3913,3161,3417,3673,3929,3177,3433,3689,3945,3193,3449,3705,3961,3209,3465,3721,3977,3225,3481,3737,3993,3241,3497,3753,4009,3257,3513,3769,4025,3273,3529,3785,4041,3289,3545,3801,4057,3305,3561,3817,4073,3321,3577,3833,4089,
2057,2313,2569,2825,2073,2329,2585,2841,2089,2345,2601,2857,2105,2361,2617,2873,2121,2377,2633,2889,2137,2393,2649,2905,2153,2409,2665,2921,2169,2425,2681,2937,2185,2441,2697,2953,2201,2457,2713,2969,2217,2473,2729,2985,2233,2489,2745,3001,2249,2505,2761,3017,2265,2521,2777,3033,2281,2537,2793,3049,2297,2553,2809,3065,
1033,1289,1545,1801,1049,1305,1561,1817,1065,1321,1577,1833,1081,1337,1593,1849,1097,1353,1609,1865,1113,1369,1625,1881,1129,1385,1641,1897,1145,1401,1657,1913,1161,1417,1673,1929,1177,1433,1689,1945,1193,1449,1705,1961,1209,1465,1721,1977,1225,1481,1737,1993,1241,1497,1753,2009,1257,1513,1769,2025,1273,1529,1785,2041,
9,265,521,777,25,281,537,793,41,297,553,809,57,313,569,825,73,329,585,841,89,345,601,857,105,361,617,873,121,377,633,889,137,393,649,905,153,409,665,921,169,425,681,937,185,441,697,953,201,457,713,969,217,473,729,985,233,489,745,1001,249,505,761,1017,
10,266,522,778,26,282,538,794,42,298,554,810,58,314,570,826,74,330,586,842,90,346,602,858,106,362,618,874,122,378,634,890,138,394,650,906,154,410,666,922,170,426,682,938,186,442,698,954,202,458,714,970,218,474,730,986,234,490,746,1002,250,506,762,1018,
1034,1290,1546,1802,1050,1306,1562,1818,1066,1322,1578,1834,1082,1338,1594,1850,1098,1354,1610,1866,1114,1370,1626,1882,1130,1386,1642,1898,1146,1402,1658,1914,1162,1418,1674,1930,1178,1434,1690,1946,1194,1450,1706,1962,1210,1466,1722,1978,1226,1482,1738,1994,1242,1498,1754,2010,1258,1514,1770,2026,1274,1530,1786,2042,
2058,2314,2570,2826,2074,2330,2586,2842,2090,2346,2602,2858,2106,2362,2618,2874,2122,2378,2634,2890,2138,2394,2650,2906,2154,2410,2666,2922,2170,2426,2682,2938,2186,2442,2698,2954,2202,2458,2714,2970,2218,2474,2730,2986,2234,2490,2746,3002,2250,2506,2762,3018,2266,2522,2778,3034,2282,2538,2794,3050,2298,2554,2810,3066,
3082,3338,3594,3850,3098,3354,3610,3866,3114,3370,3626,3882,3130,3386,3642,3898,3146,3402,3658,3914,3162,3418,3674,3930,3178,3434,3690,3946,3194,3450,3706,3962,3210,3466,3722,3978,3226,3482,3738,3994,3242,3498,3754,4010,3258,3514,3770,4026,3274,3530,3786,4042,3290,3546,3802,4058,3306,3562,3818,4074,3322,3578,3834,4090,
3083,3339,3595,3851,3099,3355,3611,3867,3115,3371,3627,3883,3131,3387,3643,3899,3147,3403,3659,3915,3163,3419,3675,3931,3179,3435,3691,3947,3195,3451,3707,3963,3211,3467,3723,3979,3227,3483,3739,3995,3243,3499,3755,4011,3259,3515,3771,4027,3275,3531,3787,4043,3291,3547,3803,4059,3307,3563,3819,4075,3323,3579,3835,4091,
2059,2315,2571,2827,2075,2331,2587,2843,2091,2347,2603,2859,2107,2363,2619,2875,2123,2379,2635,2891,2139,2395,2651,2907,2155,2411,2667,2923,2171,2427,2683,2939,2187,2443,2699,2955,2203,2459,2715,2971,2219,2475,2731,2987,2235,2491,2747,3003,2251,2507,2763,3019,2267,2523,2779,3035,2283,2539,2795,3051,2299,2555,2811,3067,
1035,1291,1547,1803,1051,1307,1563,1819,1067,1323,1579,1835,1083,1339,1595,1851,1099,1355,1611,1867,1115,1371,1627,1883,1131,1387,1643,1899,1147,1403,1659,1915,1163,1419,1675,1931,1179,1435,1691,1947,1195,1451,1707,1963,1211,1467,1723,1979,1227,1483,1739,1995,1243,1499,1755,2011,1259,1515,1771,2027,1275,1531,1787,2043,
11,267,523,779,27,283,539,795,43,299,555,811,59,315,571,827,75,331,587,843,91,347,603,859,107,363,619,875,123,379,635,891,139,395,651,907,155,411,667,923,171,427,683,939,187,443,699,955,203,459,715,971,219,475,731,987,235,491,747,1003,251,507,763,1019,
12,268,524,780,28,284,540,796,44,300,556,812,60,316,572,828,76,332,588,844,92,348,604,860,108,364,620,876,124,380,636,892,140,396,652,908,156,412,668,924,172,428,684,940,188,444,700,956,204,460,716,972,220,476,732,988,236,492,748,1004,252,508,764,1020,
1036,1292,1548,1804,1052,1308,1564,1820,1068,1324,1580,1836,1084,1340,1596,1852,1100,1356,1612,1868,1116,1372,1628,1884,1132,1388,1644,1900,1148,1404,1660,1916,1164,1420,1676,1932,1180,1436,1692,1948,1196,1452,1708,1964,1212,1468,1724,1980,1228,1484,1740,1996,1244,1500,1756,2012,1260,1516,1772,2028,1276,1532,1788,2044,
2060,2316,2572,2828,2076,2332,2588,2844,2092,2348,2604,2860,2108,2364,2620,2876,2124,2380,2636,2892,2140,2396,2652,2908,2156,2412,2668,2924,2172,2428,2684,2940,2188,2444,2700,2956,2204,2460,2716,2972,2220,2476,2732,2988,2236,2492,2748,3004,2252,2508,2764,3020,2268,2524,2780,3036,2284,2540,2796,3052,2300,2556,2812,3068,
3084,3340,3596,3852,3100,3356,3612,3868,3116,3372,3628,3884,3132,3388,3644,3900,3148,3404,3660,3916,3164,3420,3676,3932,3180,3436,3692,3948,3196,3452,3708,3964,3212,3468,3724,3980,3228,3484,3740,3996,3244,3500,3756,4012,3260,3516,3772,4028,3276,3532,3788,4044,3292,3548,3804,4060,3308,3564,3820,4076,3324,3580,3836,4092,
3085,3341,3597,3853,3101,3357,3613,3869,3117,3373,3629,3885,3133,3389,3645,3901,3149,3405,3661,3917,3165,3421,3677,3933,3181,3437,3693,3949,3197,3453,3709,3965,3213,3469,3725,3981,3229,3485,3741,3997,3245,3501,3757,4013,3261,3517,3773,4029,3277,3533,3789,4045,3293,3549,3805,4061,3309,3565,3821,4077,3325,3581,3837,4093,
2061,2317,2573,2829,2077,2333,2589,2845,2093,2349,2605,2861,2109,2365,2621,2877,2125,2381,2637,2893,2141,2397,2653,2909,2157,2413,2669,2925,2173,2429,2685,2941,2189,2445,2701,2957,2205,2461,2717,2973,2221,2477,2733,2989,2237,2493,2749,3005,2253,2509,2765,3021,2269,2525,2781,3037,2285,2541,2797,3053,2301,2557,2813,3069,
1037,1293,1549,1805,1053,1309,1565,1821,1069,1325,1581,1837,1085,1341,1597,1853,1101,1357,1613,1869,1117,1373,1629,1885,1133,1389,1645,1901,1149,1405,1661,1917,1165,1421,1677,1933,1181,1437,1693,1949,1197,1453,1709,1965,1213,1469,1725,1981,1229,1485,1741,1997,1245,1501,1757,2013,1261,1517,1773,2029,1277,1533,1789,2045,
13,269,525,781,29,285,541,797,45,301,557,813,61,317,573,829,77,333,589,845,93,349,605,861,109,365,621,877,125,381,637,893,141,397,653,909,157,413,669,925,173,429,685,941,189,445,701,957,205,461,717,973,221,477,733,989,237,493,749,1005,253,509,765,1021,
14,270,526,782,30,286,542,798,46,302,558,814,62,318,574,830,78,334,590,846,94,350,606,862,110,366,622,878,126,382,638,894,142,398,654,910,158,414,670,926,174,430,686,942,190,446,702,958,206,462,718,974,222,478,734,990,238,494,750,1006,254,510,766,1022,
1038,1294,1550,1806,1054,1310,1566,1822,1070,1326,1582,1838,1086,1342,1598,1854,1102,1358,1614,1870,1118,1374,1630,1886,1134,1390,1646,1902,1150,1406,1662,1918,1166,1422,1678,1934,1182,1438,1694,1950,1198,1454,1710,1966,1214,1470,1726,1982,1230,1486,1742,1998,1246,1502,1758,2014,1262,1518,1774,2030,1278,1534,1790,2046,
2062,2318,2574,2830,2078,2334,2590,2846,2094,2350,2606,2862,2110,2366,2622,2878,2126,2382,2638,2894,2142,2398,2654,2910,2158,2414,2670,2926,2174,2430,2686,2942,2190,2446,2702,2958,2206,2462,2718,2974,2222,2478,2734,2990,2238,2494,2750,3006,2254,2510,2766,3022,2270,2526,2782,3038,2286,2542,2798,3054,2302,2558,2814,3070,
3086,3342,3598,3854,3102,3358,3614,3870,3118,3374,3630,3886,3134,3390,3646,3902,3150,3406,3662,3918,3166,3422,3678,3934,3182,3438,3694,3950,3198,3454,3710,3966,3214,3470,3726,3982,3230,3486,3742,3998,3246,3502,3758,4014,3262,3518,3774,4030,3278,3534,3790,4046,3294,3550,3806,4062,3310,3566,3822,4078,3326,3582,3838,4094,
3087,3343,3599,3855,3103,3359,3615,3871,3119,3375,3631,3887,3135,3391,3647,3903,3151,3407,3663,3919,3167,3423,3679,3935,3183,3439,3695,3951,3199,3455,3711,3967,3215,3471,3727,3983,3231,3487,3743,3999,3247,3503,3759,4015,3263,3519,3775,4031,3279,3535,3791,4047,3295,3551,3807,4063,3311,3567,3823,4079,3327,3583,3839,4095,
2063,2319,2575,2831,2079,2335,2591,2847,2095,2351,2607,2863,2111,2367,2623,2879,2127,2383,2639,2895,2143,2399,2655,2911,2159,2415,2671,2927,2175,2431,2687,2943,2191,2447,2703,2959,2207,2463,2719,2975,2223,2479,2735,2991,2239,2495,2751,3007,2255,2511,2767,3023,2271,2527,2783,3039,2287,2543,2799,3055,2303,2559,2815,3071,
1039,1295,1551,1807,1055,1311,1567,1823,1071,1327,1583,1839,1087,1343,1599,1855,1103,1359,1615,1871,1119,1375,1631,1887,1135,1391,1647,1903,1151,1407,1663,1919,1167,1423,1679,1935,1183,1439,1695,1951,1199,1455,1711,1967,1215,1471,1727,1983,1231,1487,1743,1999,1247,1503,1759,2015,1263,1519,1775,2031,1279,1535,1791,2047,
15,271,527,783,31,287,543,799,47,303,559,815,63,319,575,831,79,335,591,847,95,351,607,863,111,367,623,879,127,383,639,895,143,399,655,911,159,415,671,927,175,431,687,943,191,447,703,959,207,463,719,975,223,479,735,991,239,495,751,1007,255,511,767,1023
};
#endif