zenilib  0.5.3.0
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hrtf_tables.inc
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1 /* Elevation metrics */
2 static const ALubyte defaultAzCount[19] = { 1, 12, 24, 36, 45, 56, 60, 72, 72, 72, 72, 72, 60, 56, 45, 36, 24, 12, 1, };
3 static const ALushort defaultEvOffset[19] = { 0, 1, 13, 37, 73, 118, 174, 234, 306, 378, 450, 522, 594, 654, 710, 755, 791, 815, 827, };
4 
5 /* HRIR Coefficients */
6 static const ALshort defaultCoeffs[26496] =
7 {
8  +6117, +8354, +3531, +2903, +1118, +342, +874, -822, -2447, -1309, +579, -133, -617, -1093, -998, -416, -244, -202, -84, -134, -375, -200, -416, -331, -408, -614, -489, -332, -207, -97, -7, -145,
9  +6958, +8678, +3013, +3274, +1145, +25, +847, -771, -2501, -1666, +534, +86, -597, -917, -967, -916, -367, -80, -198, -215, -475, -312, -442, -372, -399, -554, -517, -249, -103, -75, -5, -176,
10  +6349, +8083, +2935, +2854, +1109, +344, +851, -891, -2351, -1252, +506, -191, -559, -861, -745, -485, -327, -77, -17, -172, -405, -189, -402, -350, -459, -599, -449, -315, -184, -77, +13, -134,
11  +5910, +7494, +2698, +2625, +992, +373, +884, -825, -2197, -962, +698, -127, -425, -759, -697, -286, -213, -171, -64, -127, -336, -131, -355, -271, -368, -553, -428, -299, -179, -74, +4, -137,
12  +5808, +7380, +2660, +2585, +1001, +453, +998, -698, -2078, -854, +773, -100, -470, -857, -730, -241, -185, -179, -63, -114, -325, -112, -322, -220, -300, -507, -404, -297, -216, -122, -35, -168,
13  +5957, +7591, +2687, +2503, +871, +340, +913, -821, -2282, -1053, +775, -16, -459, -904, -784, -240, -114, -100, -12, -59, -285, -105, -334, -253, -340, -532, -400, -251, -127, -17, +33, -156,
14  +6515, +8209, +2752, +2639, +892, +326, +895, -1074, -2683, -1313, +854, -53, -682, -1135, -939, -316, -155, -153, -32, -64, -346, -124, -339, -249, -345, -543, -400, -232, -129, -39, +38, -120,
15  +6887, +8888, +3060, +2770, +926, +146, +833, -1245, -2800, -1317, +584, -231, -619, -1119, -983, -413, -244, -71, -9, -143, -405, -183, -399, -307, -420, -595, -439, -302, -153, -55, +34, -129,
16  +7340, +9090, +2964, +3130, +1162, +115, +612, -1577, -2702, -692, +458, -1019, -864, -943, -587, -190, -434, -226, +41, -162, -398, -144, -463, -353, -533, -708, -464, -374, -270, -103, +2, -187,
17  +8348, +9865, +2233, +2503, +594, +154, +1277, -1477, -3002, -433, +1280, -991, -1387, -1385, -643, +20, -514, -498, -16, -150, -545, -145, -486, -329, -539, -846, -509, -326, -250, -110, +9, -211,
18  +8668, +10241, +2446, +2335, +160, +133, +1408, -1244, -3403, -895, +1742, -269, -1341, -2123, -1100, +207, -94, -571, -238, -198, -607, -211, -581, -326, -492, -792, -539, -293, -202, -119, -28, -265,
19  +8261, +10052, +3261, +2775, +344, +65, +1000, -1138, -3661, -1615, +1337, +126, -290, -1970, -1899, -55, +143, -202, -175, -248, -492, -207, -591, -284, -495, -901, -578, -409, -197, -51, +38, -151,
20  +7749, +9628, +3084, +3049, +870, +16, +727, -1159, -2880, -1819, +969, +83, -717, -1031, -1759, -1055, -39, -9, -26, -31, -379, -324, -646, -479, -344, -651, -608, -341, -196, -48, +22, -160,
21  +7872, +8889, +2424, +3846, +1113, -405, +870, -636, -2562, -2175, +535, +438, -627, -691, -988, -1594, -378, +123, -383, -287, -574, -435, -436, -421, -370, -475, -575, -138, +9, -79, -10, -210,
22  +7007, +8290, +2692, +3507, +1037, -125, +838, -876, -2265, -1597, +225, -49, -510, -580, -573, -987, -677, +32, +42, -236, -535, -281, -374, -349, -433, -522, -408, -257, -182, -133, +15, -132,
23  +6475, +7694, +2419, +2913, +1152, +342, +794, -920, -2186, -1265, +352, -196, -457, -569, -494, -665, -413, +113, +33, -239, -428, -173, -379, -384, -517, -559, -408, -308, -159, -59, +31, -118,
24  +5981, +7105, +2165, +2692, +1134, +347, +767, -876, -2030, -957, +421, -294, -318, -441, -466, -416, -281, -39, -27, -194, -378, -156, -345, -274, -384, -498, -440, -344, -158, -51, +21, -134,
25  +5468, +6465, +2050, +2460, +952, +446, +858, -776, -1849, -646, +711, -106, -171, -377, -412, -225, -208, -139, -49, -122, -280, -59, -288, -217, -330, -482, -372, -276, -153, -54, +11, -123,
26  +5247, +6086, +1760, +2189, +842, +506, +1054, -433, -1470, -298, +965, +30, -189, -498, -477, -163, -126, -106, -24, -94, -283, -72, -247, -143, -266, -434, -302, -196, -110, -68, -52, -213,
27  +5232, +6232, +1996, +2383, +983, +625, +1098, -519, -1614, -432, +848, -66, -286, -585, -461, -110, -157, -165, -46, -92, -261, -20, -217, -109, -190, -394, -333, -281, -239, -151, -66, -182,
28  +5323, +6297, +1900, +2226, +867, +582, +1114, -514, -1700, -507, +886, -53, -362, -695, -545, -42, +42, -2, +24, -89, -290, -90, -302, -188, -238, -341, -202, -173, -185, -163, -115, -218,
29  +5574, +6674, +1997, +2183, +707, +407, +936, -776, -2047, -829, +914, +130, -285, -696, -573, -93, +9, -5, +50, +20, -186, -16, -247, -182, -271, -441, -315, -175, -47, +63, +58, -176,
30  +6045, +7217, +2109, +2333, +722, +394, +912, -1008, -2484, -1201, +940, +97, -533, -929, -717, -112, +69, +18, +107, +96, -204, -31, -262, -175, -230, -397, -254, -106, -72, -21, +17, -112,
31  +6856, +7935, +1962, +2469, +717, +365, +900, -1353, -2894, -1309, +1170, +26, -784, -1168, -861, -220, -61, -113, +16, +18, -323, -43, -253, -171, -282, -468, -311, -130, -56, +10, +78, -94,
32  +7514, +8789, +1982, +2483, +712, +262, +907, -1695, -3191, -1325, +1153, -23, -806, -1333, -975, -279, -115, -59, -35, -42, -373, -130, -392, -273, -384, -542, -334, -150, -38, +4, +93, -104,
33  +7708, +9393, +2471, +2673, +752, -59, +807, -1726, -3115, -1282, +555, -307, -586, -1146, -966, -429, -241, +103, +48, -175, -435, -160, -372, -287, -438, -565, -385, -281, -93, -15, +72, -115,
34  +7961, +9595, +2700, +3173, +1089, -199, +393, -2045, -2982, -748, +119, -1067, -577, -787, -541, -413, -602, -36, +144, -149, -336, -111, -417, -324, -553, -659, -425, -410, -226, -58, +56, -137,
35  +8750, +9725, +2189, +3527, +1193, -202, +307, -2424, -2793, +130, +87, -2091, -927, -659, -104, -33, -745, -205, +211, -231, -414, -73, -531, -374, -686, -789, -410, -438, -340, -94, +17, -238,
36  +9887, +10729, +1149, +2712, +812, -159, +1171, -2374, -3238, +573, +900, -2331, -1559, -881, +10, +282, -825, -483, +230, -178, -567, -74, -569, -393, -734, -962, -410, -384, -393, -161, +71, -197,
37  +11064, +11221, +279, +2282, +77, +57, +1829, -2384, -3518, +811, +1905, -2262, -2145, -1529, -99, +470, -985, -810, +158, -183, -755, -35, -580, -314, -703, -1105, -476, -311, -308, -116, +33, -294,
38  +11675, +11698, +209, +1859, -553, +242, +2236, -2105, -4055, +456, +2775, -1639, -2377, -2493, -525, +885, -700, -1033, -74, -269, -767, -30, -730, -335, -644, -1070, -436, -206, -262, -87, -13, -377,
39  +11801, +11992, +657, +1830, -875, +135, +2141, -1883, -4508, -144, +3105, -728, -2249, -3247, -939, +1040, -70, -1098, -336, -229, -882, -166, -780, -279, -597, -994, -559, -229, -208, -150, -49, -410,
40  +11441, +12041, +1632, +2283, -957, -39, +1816, -1840, -4880, -918, +2879, +121, -1146, -3647, -1711, +1051, +438, -745, -603, -262, -776, -209, -700, -151, -609, -1078, -625, -402, -194, -201, -9, -262,
41  +10865, +11676, +2584, +2613, -586, -83, +1224, -1524, -5125, -1724, +2382, +303, +58, -3199, -2831, +663, +561, -315, -300, -369, -601, -190, -808, -177, -617, -1246, -617, -484, -161, +7, +81, -166,
42  +10191, +11218, +2753, +3225, -135, -314, +1139, -1492, -4741, -2381, +2120, +202, +83, -1978, -3635, -327, +757, +52, -23, -340, -548, -69, -879, -641, -441, -1126, -641, -329, -170, +77, +67, -175,
43  +9689, +10846, +2307, +3298, +545, -344, +602, -1494, -3324, -2412, +1584, +308, -905, -920, -2772, -1685, +423, +196, -11, +88, -409, -493, -902, -608, -212, -710, -760, -321, -179, +12, +47, -183,
44  +8953, +9908, +2218, +3607, +920, -373, +599, -1197, -2905, -2314, +1261, +665, -1096, -819, -1580, -2014, -168, +187, -326, -97, -344, -334, -636, -572, -272, -489, -771, -288, -106, -59, +97, -199,
45  +8864, +8963, +1784, +4657, +969, -956, +982, -415, -2657, -2862, +633, +942, -750, -396, -1083, -2461, -216, +391, -668, -329, -673, -573, -389, -489, -318, -379, -677, +16, +122, -114, -18, -247,
46  +7756, +8469, +2432, +4304, +831, -834, +867, -757, -2207, -2102, -12, +321, -466, -174, -519, -1837, -871, +255, +23, -250, -677, -423, -326, -339, -330, -413, -490, -195, -73, -162, -2, -152,
47  +7061, +7757, +2298, +3660, +972, -50, +816, -871, -2023, -1762, +29, +39, -419, -270, -323, -1264, -738, +345, +74, -339, -535, -233, -317, -423, -530, -487, -350, -279, -220, -117, +68, -96,
48  +6469, +7209, +2035, +3061, +1233, +321, +690, -887, -1952, -1381, +126, -112, -325, -222, -261, -975, -473, +378, +46, -334, -435, -156, -344, -439, -577, -492, -370, -312, -132, -41, +48, -98,
49  +5924, +6587, +1791, +2840, +1306, +325, +630, -832, -1787, -1021, +168, -250, -169, -97, -250, -687, -289, +202, -37, -279, -361, -130, -348, -361, -448, -399, -386, -361, -133, -16, +50, -129,
50  +5282, +6011, +1719, +2545, +1130, +445, +720, -784, -1642, -749, +308, -187, +39, -21, -232, -423, -260, +27, -35, -215, -317, -45, -205, -222, -390, -439, -388, -320, -115, -45, +11, -94,
51  +4741, +5315, +1665, +2368, +986, +543, +781, -655, -1403, -392, +608, -36, +147, +49, -163, -239, -215, -100, -40, -117, -205, +8, -213, -171, -294, -397, -329, -264, -127, -36, +13, -103,
52  +4473, +4913, +1415, +2018, +802, +585, +981, -314, -1070, -10, +964, +194, +186, -38, -233, -201, -159, -68, +40, -54, -215, -5, -156, -100, -249, -363, -242, -160, -67, -14, -33, -215,
53  +4287, +4651, +1225, +2028, +1002, +772, +1151, -74, -767, +174, +960, +71, -57, -266, -220, -24, -57, -86, -63, -101, -197, +12, -123, -8, -137, -308, -225, -169, -123, -121, -128, -237,
54  +4337, +4965, +1624, +2246, +1058, +843, +1155, -266, -1056, -75, +799, +3, -60, -285, -202, -30, -153, -156, -30, -66, -178, +71, -100, -2, -76, -278, -279, -283, -274, -184, -98, -187,
55  +4443, +5025, +1531, +2119, +997, +856, +1205, -260, -1169, -213, +764, -10, -150, -366, -219, +89, +76, -16, -38, -108, -204, -23, -212, -56, -66, -154, -135, -246, -290, -240, -153, -192,
56  +4604, +5187, +1421, +1877, +708, +663, +1129, -291, -1278, -255, +968, +170, -109, -537, -478, +41, +175, +171, +207, -3, -219, -11, -242, -189, -190, -256, -119, -13, -31, -100, -174, -309,
57  +4923, +5652, +1529, +1902, +624, +528, +924, -671, -1743, -664, +996, +326, -100, -476, -372, +25, +128, +85, +100, +106, -73, +61, -152, -121, -199, -342, -237, -104, +32, +141, +70, -204,
58  +5421, +6220, +1615, +2041, +613, +476, +868, -945, -2209, -1062, +1028, +282, -361, -678, -462, +90, +247, +119, +166, +124, -141, +83, -164, -99, -131, -291, -197, -34, +4, +4, +72, -42,
59  +6190, +6818, +1507, +2236, +597, +518, +893, -1240, -2699, -1316, +1269, +222, -676, -957, -667, -54, +151, +26, +170, +185, -160, +80, -150, -125, -158, -266, -176, +4, -12, -12, +35, -111,
60  +7121, +7541, +1201, +2394, +583, +455, +869, -1653, -3075, -1304, +1541, +95, -937, -1178, -764, -132, +36, -84, +64, +109, -308, +44, -155, -103, -220, -385, -224, -28, +7, +54, +114, -67,
61  +7954, +8408, +983, +2438, +632, +359, +872, -2062, -3411, -1245, +1676, +31, -1048, -1363, -832, -150, -48, -120, +14, +94, -364, -58, -298, -170, -314, -457, -245, -56, +16, +70, +176, -53,
62  +8426, +9277, +1223, +2430, +532, +133, +944, -2316, -3533, -1292, +1244, -43, -818, -1449, -1029, -259, -53, +135, -32, -56, -402, -136, -404, -282, -407, -503, -267, -114, +46, +41, +136, -109,
63  +8583, +9860, +1762, +2634, +598, -282, +801, -2272, -3373, -1211, +481, -346, -524, -1183, -947, -470, -228, +324, +74, -228, -460, -132, -337, -273, -462, -518, -331, -270, -26, +19, +110, -100,
64  +8789, +10123, +2143, +3154, +907, -539, +350, -2551, -3191, -653, -134, -1144, -348, -706, -562, -559, -647, +213, +190, -170, -308, -125, -412, -293, -550, -593, -367, -441, -161, -3, +111, -113,
65  +9368, +10135, +1939, +3756, +1190, -650, -93, -2909, -2955, +75, -583, -2117, -371, -455, -4, -431, -1040, +118, +327, -275, -298, -31, -480, -340, -761, -730, -381, -524, -283, -44, +42, -215,
66  +10370, +10210, +1204, +4156, +1175, -623, -28, -3363, -2672, +1145, -623, -3309, -728, -270, +428, +27, -1178, -99, +420, -357, -415, +13, -626, -389, -869, -847, -326, -533, -414, -65, +33, -301,
67  +11635, +11075, -31, +3531, +952, -550, +724, -3443, -3032, +1791, +130, -3849, -1409, -370, +688, +391, -1323, -332, +504, -391, -598, +96, -680, -457, -950, -1002, -305, -479, -469, -136, +71, -286,
68  +13207, +11905, -1547, +2772, +301, -274, +1873, -3587, -3556, +2285, +1234, -3973, -2188, -835, +809, +672, -1631, -769, +602, -241, -847, +83, -674, -374, -941, -1208, -342, -448, -473, -101, +134, -318,
69  +14337, +12287, -2399, +2422, -469, +62, +2531, -3616, -3929, +2464, +2354, -3991, -2785, -1503, +623, +891, -1697, -1088, +457, -261, -1009, +151, -717, -276, -913, -1388, -372, -300, -384, -112, +67, -401,
70  +15087, +12820, -2744, +1910, -1184, +425, +3120, -3448, -4563, +2187, +3466, -3489, -3173, -2589, +266, +1446, -1532, -1382, +191, -327, -1016, +193, -847, -301, -888, -1367, -296, -177, -336, -114, +20, -474,
71  +15581, +13124, -2434, +1591, -1676, +521, +3195, -3036, -5227, +1724, +4250, -2658, -3404, -3573, -56, +1861, -986, -1649, +4, -355, -1041, +91, -1052, -239, -767, -1287, -362, -121, -296, -58, -65, -569,
72  +15601, +13452, -1914, +1563, -2007, +399, +3052, -2823, -5735, +1036, +4617, -1613, -3294, -4431, -451, +2051, -245, -1777, -331, -235, -1215, -48, -1032, -173, -736, -1221, -537, -142, -232, -189, -69, -580,
73  +15203, +13689, -870, +1955, -2244, +197, +2769, -2807, -6122, +172, +4587, -487, -2272, -5183, -1225, +2226, +446, -1489, -791, -175, -1171, -107, -880, -30, -790, -1309, -587, -320, -186, -316, -13, -442,
74  +14648, +13594, +409, +2248, -2137, -16, +2270, -2431, -6673, -665, +4167, +189, -766, -5403, -2316, +2230, +741, -1027, -813, -342, -840, -164, -978, +109, -745, -1474, -642, -547, -154, -159, +47, -247,
75  +13996, +13109, +1461, +2499, -1685, -37, +1524, -2013, -6863, -1546, +3712, +317, +445, -4840, -3714, +1807, +920, -566, -438, -485, -703, -148, -1075, +6, -791, -1647, -584, -567, -97, +72, +120, -190,
76  +13165, +12534, +1976, +3362, -1471, -314, +1381, -1961, -6484, -2520, +3399, +361, +831, -3679, -5026, +938, +1344, -192, -237, -452, -597, -58, -1183, -507, -582, -1548, -641, -480, -68, +246, +63, -219,
77  +12626, +12250, +1611, +3690, -681, -941, +1250, -1619, -5566, -2944, +3036, +177, +25, -1933, -5154, -665, +1470, +164, +107, -276, -664, -178, -1249, -762, -296, -1315, -631, -232, -234, +180, +66, -251,
78  +11980, +11934, +1167, +3735, +109, -727, +510, -1829, -3781, -3108, +2485, +496, -1203, -728, -4093, -2241, +1182, +347, -49, +233, -470, -711, -1173, -711, -7, -812, -944, -259, -161, +83, +61, -212,
79  +11247, +11010, +1120, +4114, +574, -764, +386, -1687, -3259, -2815, +2128, +825, -1544, -509, -2722, -2986, +467, +444, -350, +190, -276, -570, -1067, -700, +132, -512, -1156, -281, -35, -10, +123, -207,
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101  +8554, +8204, +13, +2518, +545, +433, +808, -2585, -3651, -1161, +2167, +23, -1301, -1412, -719, -73, +18, -111, +45, +202, -388, -7, -242, -122, -287, -383, -162, +38, +78, +115, +239, -27,
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110  +16995, +12596, -4875, +3443, -244, -334, +2668, -5173, -3649, +4366, +1153, -6044, -2514, -559, +1728, +927, -2652, -901, +1093, -410, -1143, +329, -841, -335, -1196, -1458, -195, -525, -564, -33, +194, -462,
111  +18241, +12894, -5826, +3138, -1130, +187, +3380, -5255, -4143, +4561, +2499, -6195, -3183, -1309, +1509, +1233, -2676, -1266, +894, -425, -1299, +432, -922, -204, -1176, -1686, -183, -313, -482, -86, +105, -535,
112  +19257, +13367, -6379, +2592, -1984, +792, +4070, -5179, -4919, +4384, +3882, -5784, -3709, -2594, +1250, +1947, -2577, -1645, +617, -476, -1302, +491, -1070, -197, -1169, -1676, -76, -162, -446, -100, +47, -614,
113  +19926, +13767, -6244, +2039, -2577, +1096, +4300, -4713, -5817, +3943, +5112, -5041, -4213, -3795, +981, +2627, -2147, -2070, +431, -519, -1281, +436, -1355, -148, -989, -1627, -104, -51, -433, -15, -50, -735,
114  +20240, +14125, -5799, +1784, -3007, +1064, +4265, -4313, -6590, +3386, +5836, -3972, -4474, -4840, +741, +2976, -1373, -2410, +167, -416, -1413, +247, -1435, -24, -966, -1480, -291, -55, -313, -65, -145, -781,
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116  +19554, +14863, -3770, +2150, -3733, +724, +3709, -4072, -7621, +1495, +6312, -1303, -3056, -6981, -603, +3594, +321, -2274, -920, -58, -1568, +72, -1120, +198, -1037, -1588, -525, -300, -179, -434, +24, -584,
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123  +13958, +12124, -373, +4782, +21, -1129, +272, -2320, -3404, -3627, +3139, +1060, -2160, -3, -4519, -3752, +1820, +541, -476, +570, -311, -1038, -1434, -687, +457, -671, -1457, -167, -11, +62, +118, -218,
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128  +8202, +7850, +2127, +5711, +161, -1682, +1271, -489, -1744, -3323, -499, +1254, -540, +771, -297, -3344, -963, +1117, -26, -591, -845, -454, -64, -490, -350, -197, -438, -86, -170, -321, +106, -106,
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130  +6561, +6470, +2014, +3851, +1081, +55, +479, -597, -1428, -2456, -448, +615, -253, +562, +94, -2318, -595, +1226, -130, -587, -411, -244, -197, -635, -712, -320, -371, -307, -113, -95, +84, -14,
131  +5624, +5918, +1762, +3266, +1692, +206, +288, -499, -1267, -1883, -464, +389, +31, +706, +63, -1900, -243, +1098, -142, -584, -335, -87, -244, -648, -669, -209, -339, -372, -24, +17, +83, -55,
132  +4953, +5180, +1625, +3144, +1769, +106, +214, -394, -1053, -1453, -538, +193, +277, +807, +43, -1499, -93, +748, -239, -450, -232, -115, -285, -525, -481, -91, -398, -447, -39, +45, +83, -112,
133  +4115, +4607, +1619, +2888, +1682, +161, +244, -329, -812, -1141, -599, +67, +593, +924, +29, -1137, -210, +449, -129, -365, -249, -133, -121, -277, -340, -178, -530, -428, -2, -6, +39, -84,
134  +3177, +4024, +1786, +2341, +1485, +534, +375, -316, -681, -795, -329, +287, +817, +880, +57, -781, -190, +258, -112, -286, -153, +95, +56, -236, -403, -237, -370, -335, -19, -47, -2, +10,
135  +2412, +3137, +2012, +2211, +1367, +699, +342, -131, -395, -414, -56, +329, +935, +975, +138, -528, -171, +55, -126, -152, +41, +119, -74, -171, -229, -182, -327, -290, -76, -28, +10, -11,
136  +1837, +2561, +1897, +1806, +1200, +798, +563, +60, +7, +156, +349, +604, +923, +1022, +216, -431, -239, -64, +75, +24, -47, +67, +76, -40, -176, -179, -231, -224, -40, +27, +0, -75,
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138  +1298, +1691, +1267, +1399, +1307, +1124, +1131, +1104, +891, +667, +567, +575, +628, +507, +105, -108, +52, +24, -45, -25, -34, +55, +160, +131, -29, -57, -79, -54, -16, -156, -247, -286,
139  +1179, +1848, +1466, +1730, +1760, +1293, +1046, +857, +729, +698, +565, +381, +236, +320, +318, +91, +9, -97, -187, -79, +91, +171, +186, +225, +142, -75, -156, -189, -210, -232, -263, -201,
140  +1352, +2405, +2052, +1820, +1528, +1334, +1064, +583, +298, +292, +336, +420, +473, +384, +247, -41, -172, -129, -4, +7, +46, +224, +188, +178, +173, -32, -241, -326, -370, -251, -162, -160,
141  +1579, +2518, +2005, +1719, +1482, +1383, +1139, +573, +88, -86, +163, +548, +481, +335, +281, +88, +49, -30, -101, -73, +80, +110, +12, +172, +343, +170, -228, -430, -393, -298, -216, -120,
142  +1583, +2450, +1680, +1499, +1447, +1389, +1184, +570, +27, +164, +464, +283, +128, +199, +220, +325, +423, +123, -72, -74, -43, -22, -19, +72, +115, +277, +185, -229, -439, -410, -283, -162,
143  +1893, +2685, +1508, +1157, +986, +1135, +1120, +583, -124, +57, +765, +643, +287, -137, -232, +275, +511, +407, +350, +8, -96, +73, -79, -165, +36, +100, +98, +172, -6, -229, -385, -374,
144  +2209, +3190, +1517, +1044, +774, +938, +848, +161, -496, -290, +950, +973, +315, -37, -73, +18, +254, +388, +315, +238, +180, +91, -63, -33, -110, -192, -12, +129, +232, +155, -164, -407,
145  +2814, +3765, +1508, +1224, +774, +836, +645, -346, -1219, -800, +1084, +985, +184, +33, +8, +229, +466, +169, +87, +354, +189, +192, +160, -56, +4, -65, -184, -15, +177, +366, +142, -203,
146  +3495, +4412, +1460, +1383, +688, +753, +615, -665, -1708, -1197, +1222, +875, -213, -223, -72, +363, +610, +259, +273, +267, +37, +270, +44, +9, +100, -45, -90, +149, +122, +13, +149, +90,
147  +4347, +4935, +1271, +1660, +643, +828, +646, -1007, -2278, -1449, +1567, +759, -633, -516, -277, +238, +622, +239, +355, +523, +20, +141, +46, -6, +111, -2, +46, +213, +21, +33, +1, +6,
148  +5621, +5545, +799, +2031, +504, +892, +652, -1492, -2860, -1584, +2032, +530, -1030, -782, -469, +89, +432, +59, +340, +429, -61, +279, +83, -74, +47, +39, -51, +241, +56, -19, +59, -78,
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359  +19048, +11932, -9850, +4534, +10090, -1984, -5054, +6461, +2293, -11027, -4690, +4999, +2637, -594, -2197, -2457, +1788, -1314, -2837, +89, -2336, -2296, -497, -623, +34, -680, -1066, +461, -55, -678, -251, -446,
360  +21615, +12285, -12393, +3218, +10447, -513, -5263, +6448, +2499, -11072, -5490, +4213, +3638, +192, -2622, -3085, +2128, -1593, -3108, +258, -2535, -2078, -721, -584, +167, -802, -1230, +548, +77, -824, -300, -503,
361  +23814, +13115, -14900, +2298, +10402, +898, -5101, +6133, +3297, -10978, -6160, +3330, +4213, +1402, -2845, -3633, +2406, -1782, -3197, +506, -2620, -1975, -705, -585, +213, -896, -1169, +725, -33, -930, -208, -501,
362  +26386, +12827, -16969, +2278, +9703, +1341, -4735, +5967, +4345, -11169, -7039, +2751, +4328, +2440, -3053, -3808, +2333, -2300, -2829, +717, -2947, -2030, -466, -759, +120, -952, -975, +828, -420, -898, -159, -497,
363  +27944, +13492, -18792, +2616, +8679, +1183, -4343, +5611, +6445, -11341, -8610, +2448, +4449, +2910, -2638, -3722, +1665, -2447, -2294, +737, -3191, -2075, -286, -1008, +16, -802, -857, +864, -755, -842, -70, -604,
364  +29685, +13246, -19821, +3525, +7289, +438, -4363, +5714, +8745, -11618, -10243, +2318, +4494, +2830, -1737, -3623, +798, -2252, -1923, +676, -3494, -1846, -281, -1396, -10, -574, -760, +810, -964, -876, +89, -884,
365  +30876, +13227, -20231, +4464, +5889, -395, -4997, +6035, +11190, -11731, -11571, +2002, +4359, +2564, -389, -3809, +115, -1644, -2030, +671, -3672, -1473, -429, -1750, -81, -276, -628, +609, -946, -950, +127, -1298,
366  +31278, +13828, -20217, +5005, +4867, -1003, -6198, +6112, +13378, -11330, -12204, +1134, +4093, +2243, +984, -3911, -507, -785, -2404, +550, -3517, -1127, -734, -1985, -167, -11, -527, +311, -626, -1201, -142, -1426,
367  +31763, +14606, -20213, +4922, +4300, -1334, -7821, +5934, +15019, -10488, -12296, -244, +3894, +2145, +1899, -3668, -996, -217, -2645, +278, -3186, -960, -1050, -2098, -246, +125, -509, +271, -479, -1663, -297, -1411,
368  +32059, +15063, -19624, +4534, +3996, -1550, -9300, +5401, +15706, -8935, -11963, -1825, +3576, +2337, +2148, -3207, -1061, -200, -2557, +23, -2815, -964, -1297, -2112, -372, +106, -371, +213, -866, -1642, -555, -1453,
369  +31594, +16148, -18709, +3873, +3953, -1965, -10020, +3854, +16002, -6585, -11621, -3362, +3109, +2803, +1915, -2572, -712, -591, -2348, +118, -2607, -1103, -1413, -2224, -397, +185, -559, -36, -1026, -1584, -771, -1168,
370  +30561, +17638, -17451, +3091, +3826, -2310, -9959, +1289, +16030, -3803, -11272, -4403, +2328, +3336, +1431, -1843, -11, -1291, -1874, +345, -2491, -1351, -1564, -2198, -272, -81, -1106, +216, -1299, -1439, -527, -1224,
371  +29054, +19377, -15810, +1898, +3337, -2040, -9228, -2236, +15567, -882, -10760, -4753, +1128, +3442, +1193, -1335, +949, -1929, -1501, +721, -2539, -1679, -1649, -1976, -762, -420, -1351, +363, -1271, -1184, -487, -1395,
372  +27602, +19984, -13330, +1384, +2220, -1553, -8967, -5440, +14956, +1794, -10257, -4554, -131, +2570, +2016, -1408, +1844, -1852, -1851, +1473, -2793, -1890, -1630, -2378, -1270, -515, -1540, +663, -952, -1427, -261, -1350,
373  +25630, +20290, -10249, +1324, +1107, -1114, -8918, -8485, +14115, +4665, -9857, -4277, -756, +606, +3451, -1301, +1865, -565, -2709, +1877, -2367, -2459, -1746, -2677, -1920, -340, -1413, +665, -508, -1675, -66, -1466,
374  +23903, +20683, -7286, +510, -377, -53, -7840, -11202, +11907, +7374, -9146, -4087, -105, -1982, +4052, -56, +1078, +860, -2851, +1241, -1622, -2794, -2100, -2674, -2293, -321, -1039, +386, -96, -1780, -277, -1191,
375  +22823, +20723, -6390, +1262, +38, -1708, -6903, -11540, +8654, +9407, -7731, -4726, +1287, -3835, +3356, +1929, +303, +1232, -2157, +96, -909, -2590, -2708, -1999, -2763, -486, -647, +74, -134, -1612, -437, -1074,
376  +23286, +19705, -6984, +2708, +768, -3874, -6807, -9892, +5577, +9767, -5818, -5461, +2601, -4494, +2384, +2776, +168, +931, -1602, -159, -1262, -1698, -2885, -1466, -2698, -1301, -450, -206, -5, -1620, -620, -969,
377  +23121, +19255, -7571, +3875, +1563, -5614, -6214, -8564, +2641, +9601, -3111, -6567, +3743, -4320, +945, +3692, -1043, +1590, -1282, -840, -479, -978, -2698, -1087, -2537, -2252, -520, -532, +376, -1513, -1259, -735,
378  +23895, +17231, -7926, +5603, +1022, -6360, -5559, -7729, +248, +9659, -1110, -7381, +4032, -2981, -753, +3497, -675, +212, -226, -663, -11, -138, -2841, -1009, -2052, -2616, -1508, -419, +202, -1307, -1387, -864,
379  +24342, +16471, -9991, +7124, +2357, -8386, -5329, -5315, -1440, +7468, +1850, -7622, +3025, -1191, -1868, +2925, -544, -837, +462, +724, -295, +355, -2494, -1379, -1397, -2680, -2066, -975, -223, -1077, -799, -950,
380  +24670, +15431, -12280, +9290, +3619, -10800, -4710, -2736, -2869, +4919, +4375, -7414, +1744, +298, -2787, +2517, -329, -1185, +786, +1117, +234, +534, -2350, -1334, -1274, -2503, -2002, -1594, -1255, -755, -99, -851,
381  +25053, +13472, -13783, +11903, +3737, -12350, -3755, -973, -3561, +2410, +5792, -6487, +903, +639, -3500, +2947, +120, -1823, +1427, +635, +328, +1654, -2795, -1081, -1079, -2818, -1321, -1807, -2368, -781, +236, -570,
382  +25116, +10992, -14060, +14345, +2919, -12891, -2578, +298, -4831, +849, +7344, -6355, -113, +1687, -3785, +2243, +1525, -1852, +673, +891, +28, +1939, -1939, -1636, -642, -2710, -1531, -1027, -2946, -1438, +260, -246,
383  +23985, +9052, -12782, +15373, +1674, -11878, -1468, -66, -5434, +491, +7676, -6469, -622, +2840, -3942, +1270, +2660, -1561, +29, +815, -200, +1925, -1493, -1644, -301, -2510, -1767, -674, -2584, -1874, -316, -165,
384  +21931, +7984, -10773, +14942, +1323, -10330, -1496, -41, -5153, -560, +7563, -5510, -1367, +3202, -3067, +472, +2598, -1083, +280, +328, -550, +2171, -1750, -1359, +265, -2505, -1617, -565, -2257, -1696, -689, -545,
385  +19430, +7714, -9051, +13883, +1898, -9550, -1479, +550, -5119, -1546, +7412, -4342, -2191, +3447, -2123, -382, +2504, -635, +149, +475, -754, +1639, -1244, -1582, +373, -1789, -1679, -351, -2065, -1520, -554, -754,
386  +15748, +5880, -5425, +14058, +1054, -9150, +6, +395, -3696, +26, +2379, -3599, +1707, +2155, -2493, -381, +1177, -628, -908, +221, -185, +13, -490, +744, +822, +168, +287, -448, -1045, -444, -892, -1472,
387  +13423, +5793, -3949, +12100, +1504, -7414, -200, +63, -3202, +36, +2192, -2942, +1203, +1913, -1964, -650, +802, -427, -791, -12, -102, +329, -386, +362, +832, +203, -6, -415, -837, -549, -728, -965,
388  +11547, +5785, -2873, +10302, +2118, -6063, -463, +55, -2706, -44, +2080, -2250, +641, +1766, -1389, -907, +655, -241, -693, -30, +34, +406, -343, +364, +574, +40, +171, -246, -795, -541, -534, -664,
389  +9992, +5645, -2205, +8952, +2516, -5038, -463, +97, -2247, -98, +1995, -1860, +247, +1695, -1144, -964, +569, -79, -605, +22, +220, +235, -242, +317, +304, +54, +320, -69, -720, -432, -411, -602,
390  +8782, +5267, -1688, +7925, +2586, -4032, -444, +186, -1797, -191, +1866, -1605, +27, +1498, -942, -933, +555, +32, -524, +199, +141, +118, -129, +149, +324, +142, +325, +78, -560, -385, -344, -545,
391  +7729, +4882, -1177, +6873, +2650, -3039, -407, +340, -1509, -165, +1693, -1465, -61, +1352, -781, -864, +627, +111, -305, +152, +24, +234, -129, +182, +391, +215, +338, +94, -398, -277, -266, -463,
392  +6682, +4405, -731, +6123, +2845, -2298, -387, +459, -1188, -176, +1393, -1251, -73, +1145, -660, -560, +620, +101, -161, +95, +165, +308, -117, +224, +453, +233, +340, +124, -276, -83, -284, -652,
393  +5690, +4114, -370, +5337, +2959, -1597, -302, +540, -969, -272, +1211, -1020, -123, +962, -388, -419, +496, +293, -68, +198, +277, +243, -1, +258, +446, +244, +316, +224, -197, -287, -538, -753,
394  +4886, +3783, -77, +4739, +3009, -1004, -171, +567, -808, -296, +1071, -732, -150, +762, -143, -243, +583, +495, +70, +295, +285, +282, +109, +300, +419, +303, +318, -41, -410, -429, -543, -696,
395  +4226, +3500, +214, +4230, +2888, -619, +78, +571, -807, -209, +1096, -674, -362, +872, +202, -45, +765, +519, +142, +420, +299, +326, +177, +298, +271, +19, +43, -216, -432, -470, -647, -770,
396  +3932, +3487, +332, +3583, +2646, -337, +285, +627, -784, -249, +992, -484, -225, +1185, +515, -8, +833, +683, +354, +372, +256, +357, +26, -114, -52, -13, -48, -275, -631, -669, -560, -678,
397  +3417, +3033, +572, +3583, +2497, -132, +512, +448, -821, -41, +1094, -215, +63, +1208, +613, +421, +1026, +661, +269, +268, +157, -77, -316, -230, -50, -15, -270, -450, -631, -506, -489, -682,
398  +3181, +2995, +715, +3281, +2345, -67, +347, +573, -324, +109, +1136, +26, +360, +1541, +983, +492, +841, +521, -21, -138, -249, -144, -314, -277, -62, -239, -335, -379, -509, -456, -497, -624,
399  +2727, +2772, +1072, +2985, +1995, +392, +618, +698, +14, +104, +1230, +616, +773, +1489, +881, +385, +451, -79, -396, -153, -251, -293, -476, -335, -58, -202, -314, -426, -485, -422, -544, -580,
400  +2494, +2557, +1043, +2809, +2364, +870, +612, +794, +496, +543, +1308, +960, +905, +1098, +463, -159, -22, -97, -245, -365, -543, -373, -259, -109, -161, -351, -340, -303, -434, -540, -495, -424,
401  +2244, +2930, +1654, +2496, +2296, +1063, +990, +1335, +682, +721, +1328, +513, +346, +642, +45, -321, -153, -280, -469, -425, -401, -290, -203, -148, -250, -401, -344, -391, -436, -433, -426, -380,
402  +2037, +3030, +1906, +2584, +3062, +1893, +990, +1134, +771, +385, +555, +134, +140, +441, -13, -448, -353, -397, -487, -345, -327, -238, -229, -306, -339, -347, -307, -358, -440, -470, -365, -304,
403  +2260, +3620, +2531, +2997, +2841, +1693, +1371, +1050, +54, -313, +437, +310, -186, +172, -15, -693, -347, -145, -477, -380, -271, -292, -232, -289, -368, -327, -359, -335, -337, -420, -362, -300,
404  +2676, +4646, +3139, +2421, +2169, +1461, +1102, +750, +196, +85, +103, -264, -85, +79, -270, -444, -278, -319, -366, -267, -356, -287, -310, -325, -320, -352, -353, -348, -336, -368, -283, -304,
405  +2949, +4690, +2841, +1992, +1689, +1410, +1437, +860, +277, +660, +273, -352, -345, -179, +121, -193, -595, -313, -69, -302, -301, -297, -388, -283, -359, -329, -293, -304, -317, -316, -248, -264,
406  +2663, +4197, +2446, +1659, +1599, +1195, +1150, +1390, +834, +702, +922, +74, -262, -12, -178, -353, -146, -141, -372, -189, -146, -406, -452, -309, -320, -299, -251, -248, -234, -286, -278, -279,
407  +2398, +3447, +2003, +1730, +1358, +984, +1031, +668, +683, +1466, +1326, +833, +547, +62, +124, -145, -512, -263, -44, -260, -496, -309, -241, -380, -321, -210, -197, -195, -288, -327, -348, -283,
408  +1987, +2518, +1256, +1700, +1770, +1374, +486, -161, +666, +1239, +1117, +1441, +1412, +1138, +952, +102, -154, -108, -471, -390, -130, -296, -423, -224, -149, -219, -273, -144, -187, -306, -316, -312,
409  +2277, +2839, +857, +1089, +1531, +1252, +447, -170, +485, +946, +625, +786, +1274, +1596, +1572, +803, +425, +213, -154, -308, -514, -316, -104, -287, -376, -112, -81, -229, -298, -346, -243, -269,
410  +2475, +3091, +1057, +1202, +1523, +1181, +155, -419, +779, +1083, +35, +243, +607, +800, +1330, +1039, +902, +962, +366, -99, -203, -378, -433, -305, -177, -196, -314, -134, -130, -427, -342, -186,
411  +2867, +3436, +954, +1406, +1896, +1116, -228, -668, +1005, +1052, -200, +160, +322, +441, +627, +249, +723, +1109, +691, +570, +250, -239, -146, -317, -437, -152, -136, -255, -367, -288, -235, -306,
412  +3223, +4037, +1059, +1327, +1971, +1123, -496, -724, +1262, +822, -504, +196, +267, +346, +542, -168, +79, +604, +516, +608, +511, +379, +188, -138, -157, -106, -291, -239, -240, -438, -390, -237,
413  +3604, +4513, +1093, +1460, +2232, +986, -1011, -692, +1601, +582, -689, +154, +137, +264, +549, -231, -112, +308, -5, +126, +288, +386, +454, +334, +190, +65, -9, -169, -440, -448, -309, -360,
414  +4214, +5204, +1001, +1333, +2363, +811, -1317, -468, +1657, +218, -774, +195, +54, +193, +477, -310, -143, +220, -205, -91, -167, -47, +273, +245, +485, +588, +199, -41, -178, -454, -469, -319,
415  +4699, +5772, +1037, +1391, +2580, +571, -1811, -137, +1930, -248, -876, +278, -102, +158, +529, -367, -232, +173, -250, -176, -332, -250, -145, -125, +369, +578, +501, +334, -24, -230, -185, -365,
416  +5288, +6343, +926, +1516, +2837, +116, -2274, +403, +2022, -767, -921, +321, -140, +29, +469, -385, -290, +151, -299, -257, -451, -381, -272, -339, +52, +314, +302, +289, +305, +49, -70, -194,
417  +5726, +6820, +1096, +1667, +3026, -179, -2850, +907, +2339, -1355, -1017, +450, -163, -66, +415, -378, -412, +166, -245, -345, -541, -415, -353, -452, -62, +81, +100, +97, +117, +54, +153, +24,
418  +6153, +7423, +1241, +1705, +3192, -342, -3363, +1287, +2593, -1875, -1019, +557, -240, -122, +319, -290, -434, +2, -201, -386, -582, -375, -458, -561, -160, +6, +81, -90, -141, -171, +10, +136,
419  +6828, +8181, +890, +1848, +3361, -805, -3382, +1527, +2488, -2165, -973, +617, -316, -246, +308, -188, -549, -125, -176, -412, -641, -381, -560, -633, -100, -94, -15, -180, -313, -244, -131, -157,
420  +7339, +8745, +841, +2086, +3460, -1152, -3508, +1614, +2597, -2420, -1103, +713, -354, -350, +308, -133, -681, -241, -127, -375, -784, -526, -527, -641, -141, -117, -177, -223, -325, -365, -249, -300,
421  +7574, +9152, +1067, +2490, +3582, -1504, -3603, +1572, +2713, -2475, -1389, +742, -241, -424, +146, -29, -689, -412, -49, -482, -922, -508, -528, -656, -326, -236, +0, -242, -494, -465, -250, -363,
422  +7771, +9477, +1527, +2680, +3445, -1316, -3581, +1119, +2776, -2355, -1714, +883, -172, -648, +99, -15, -445, -536, -388, -395, -960, -596, -496, -760, -479, -221, +19, -221, -514, -524, -422, -579,
423  +8021, +9527, +2130, +2911, +3042, -704, -3474, +429, +2652, -2057, -1809, +694, -37, -769, -100, +184, -247, -761, -609, -325, -1000, -680, -746, -736, -332, -408, -31, -128, -468, -729, -608, -586,
424  +8404, +9096, +2503, +3785, +2807, -578, -3480, +263, +2211, -1959, -1522, +174, -65, -508, -392, +128, +9, -898, -776, -193, -1245, -945, -832, -687, -337, -524, -93, -26, -595, -926, -547, -887,
425  +8807, +8295, +2417, +5558, +3298, -1393, -3611, +1274, +1418, -2498, -541, -286, -448, +137, -733, -107, +472, -919, -800, -132, -1516, -1020, -876, -819, -258, -573, -75, -222, -470, -870, -816, -827,
426  +9721, +7750, +1320, +7320, +3992, -2723, -3178, +2422, -20, -3129, +726, -465, -1243, +477, -680, -418, +820, -960, -919, -87, -1553, -1159, -1230, -839, -90, -743, -335, -154, -533, -893, -664, -1012,
427  +10870, +7707, -280, +8285, +5199, -3799, -2870, +3710, -1420, -4018, +2054, -220, -2214, +514, -188, -855, +1016, -762, -1123, +24, -1500, -1380, -1443, -763, -169, -955, -493, -100, -557, -806, -616, -1159,
428  +11833, +8327, -2134, +8341, +6953, -4401, -2931, +5077, -2393, -5396, +3185, +626, -3054, -50, +496, -988, +898, -338, -1369, +122, -1461, -1366, -1542, -1049, -218, -1029, -640, -181, -361, -866, -501, -1048,
429  +12829, +9031, -3811, +7670, +8588, -4509, -3175, +6408, -3118, -7036, +3841, +1817, -3527, -1043, +839, -699, +618, +2, -1465, -51, -1246, -1421, -1712, -1253, -467, -1107, -577, -354, -342, -807, -350, -891,
430  +14193, +9389, -5197, +6872, +9549, -4273, -3139, +7727, -3898, -8441, +3999, +3031, -3444, -2122, +727, -197, +556, +113, -1327, -318, -1040, -1564, -1813, -1380, -747, -1085, -601, -339, -469, -645, -199, -888,
431  +15661, +9657, -6466, +6233, +9751, -3871, -2723, +8959, -4623, -9557, +3687, +4006, -2825, -3063, +218, +188, +872, +40, -1085, -476, -1213, -1459, -1966, -1538, -758, -1196, -697, -106, -518, -710, -84, -846,
432  +17612, +9338, -7642, +6082, +9245, -3958, -1634, +10145, -5734, -10179, +3233, +4461, -2053, -3596, -499, +236, +1471, -53, -824, -783, -1511, -1205, -2322, -1376, -936, -1374, -531, +50, -558, -860, -125, -756,
433  +19463, +9219, -8893, +6261, +8413, -4281, -363, +11374, -6530, -10787, +2801, +4644, -1342, -3682, -1194, -39, +2157, +139, -767, -1072, -1682, -1101, -2364, -1296, -1186, -1329, -395, +235, -591, -1146, -127, -554,
434  +21650, +9391, -10922, +6081, +8229, -4220, +202, +11812, -6628, -11097, +2478, +4559, -1182, -3433, -1549, -554, +2784, +461, -1205, -1027, -1704, -1258, -2251, -1431, -1146, -1205, -447, +400, -669, -1391, -60, -370,
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436  +25507, +10091, -14633, +6037, +7728, -4437, +358, +12536, -5172, -12313, +2012, +4630, -1785, -2622, -1212, -2223, +3337, +1463, -2227, -360, -1728, -1658, -1788, -1625, -1024, -963, -484, +363, -873, -1530, +387, -597,
437  +26627, +10861, -15853, +5976, +7293, -4687, -371, +13070, -3740, -13126, +1550, +4641, -1970, -2334, -931, -3002, +3015, +1972, -2297, -262, -1622, -1706, -1631, -1718, -1043, -847, -523, +200, -913, -1491, +419, -863,
438  +27529, +11441, -16338, +5805, +6853, -5062, -1537, +13789, -2342, -13609, +1025, +4352, -1778, -2113, -836, -3461, +2445, +2244, -1905, -447, -1343, -1486, -1806, -1634, -1063, -761, -595, -38, -809, -1509, +121, -852,
439  +28224, +11700, -16026, +5571, +6480, -5603, -2945, +14554, -1154, -13550, +445, +3703, -1208, -1832, -1081, -3648, +1918, +2132, -1094, -755, -1071, -949, -2221, -1385, -1073, -728, -775, -144, -846, -1640, -17, -888,
440  +28214, +12317, -15132, +5336, +6093, -6385, -4398, +15063, +169, -13141, -349, +2865, -289, -1493, -1675, -3631, +1627, +1567, -67, -871, -1083, -137, -2567, -1204, -1005, -901, -818, -487, -1098, -1321, -264, -1047,
441  +27674, +13198, -13952, +5049, +5725, -7019, -5818, +14656, +1734, -12326, -1241, +1915, +642, -1155, -2395, -3373, +1425, +664, +785, -409, -1488, +642, -2474, -1372, -798, -1009, -1376, -899, -968, -1199, -318, -1143,
442  +26652, +14012, -12267, +5200, +5059, -7687, -7096, +13622, +3659, -11441, -2232, +1136, +1363, -745, -2920, -3117, +1275, -215, +1173, +578, -1926, +1018, -1813, -1727, -552, -1508, -1936, -882, -1218, -880, -117, -1274,
443  +25476, +14976, -10645, +5041, +4465, -7268, -8563, +11373, +5951, -10470, -2967, +695, +1268, -121, -2916, -3040, +1232, -1049, +1136, +1691, -1847, +783, -939, -1782, -1189, -1393, -2259, -1210, -1263, -527, +246, -1345,
444  +24418, +15887, -9483, +5106, +3650, -6572, -9308, +8066, +7947, -9122, -3698, +546, +799, +234, -2298, -3040, +979, -1401, +660, +2460, -1414, +581, -594, -1924, -1571, -1185, -2342, -1526, -1293, -276, +512, -1388,
445  +23795, +16122, -8471, +5677, +2738, -6335, -9272, +4879, +8930, -7283, -4533, +587, +584, -12, -1140, -3045, +596, -1168, -297, +2828, -664, +171, -697, -1636, -1755, -862, -2122, -1839, -1085, -590, +469, -1065,
446  +23181, +16390, -7741, +6442, +2203, -6740, -8434, +1898, +8933, -4752, -5617, +579, +1155, -849, +75, -2508, -62, -548, -1446, +2589, +243, -427, -620, -1078, -1599, -627, -1538, -1798, -1522, -1117, +586, -608,
447  +22030, +16813, -6552, +6365, +1905, -6491, -7923, -1054, +8742, -2377, -6611, +561, +1892, -1729, +1053, -1623, -1078, +90, -2143, +1121, +1073, -290, -801, -281, -1302, -213, -1096, -1925, -1798, -1686, +156, -224,
448  +21251, +16564, -5227, +6101, +1298, -5618, -7958, -3289, +8275, -752, -6864, +468, +2279, -1970, +1851, -1720, -1502, +720, -2997, -87, +1066, +346, -609, +374, -840, -207, -612, -1924, -1832, -2459, -669, -2,
449  +21059, +15707, -4300, +6487, +399, -4731, -7511, -5182, +7533, +993, -7053, +282, +3472, -2462, +1927, -1518, -1924, +1110, -3285, -499, +296, +615, +989, +279, -802, +498, -387, -1895, -1824, -2715, -1623, -344,
450  +21308, +14470, -4242, +7387, -252, -4583, -6956, -6093, +6238, +2376, -6555, -258, +4580, -2860, +1045, -858, -2358, +1013, -2617, -1140, +487, +118, +1239, +1477, -1144, +905, +15, -2196, -1670, -2549, -2403, -914,
451  +21749, +13551, -6010, +9423, +237, -6449, -5831, -5696, +4659, +3069, -5379, -988, +5203, -3101, -229, +148, -2474, +413, -1565, -777, +245, -263, +270, +2911, -521, +46, +1169, -2577, -2021, -1583, -2762, -1790,
452  +22949, +11670, -8631, +12918, +409, -9740, -4092, -3756, +2385, +3036, -3324, -2593, +5421, -2472, -2044, +991, -1723, -438, -884, +258, -444, -546, -80, +2348, +873, +112, +640, -1839, -2303, -1429, -2266, -2374,
453  +23912, +9195, -9740, +15651, -753, -10898, -2348, -2548, +736, +2645, -1865, -3420, +5193, -2092, -2914, +1332, -608, -827, -805, +690, -265, -735, -758, +2026, +1239, +685, +402, -1265, -2108, -2026, -1548, -2057,
454  +24116, +7253, -10354, +17453, -1244, -12053, -838, -452, -1755, +1608, +585, -4398, +4021, -759, -3062, +841, +208, -518, -792, +316, -185, -122, -1534, +1707, +1529, +201, +1161, -889, -2381, -1596, -1536, -1868,
455  +22899, +6009, -9723, +18156, -1387, -12297, +387, +197, -3319, +1403, +1627, -5089, +3452, +505, -3305, +713, +563, -709, -310, -26, -425, +286, -1418, +1157, +1256, +363, +1114, -493, -2226, -1184, -1308, -2261,
456  +20564, +5546, -8226, +17550, -828, -11490, +294, +435, -3523, +690, +1926, -4747, +2908, +1152, -2973, +467, +625, -707, -390, +101, -449, +40, -906, +959, +763, +546, +863, -551, -1476, -956, -1217, -2071,
457  +18013, +5812, -6919, +15896, +403, -10591, +67, +717, -3782, +91, +2336, -4162, +2130, +1919, -2779, -103, +1086, -691, -833, +297, -250, -202, -650, +1014, +731, +166, +703, -484, -1293, -477, -1156, -1837,
458  +15954, +7279, -4696, +11257, -415, -7760, +15, -732, -924, +300, -779, -1111, +2316, +31, -1667, -359, +362, -476, -1406, +77, +201, +160, +31, +184, +33, +618, +402, -142, -19, -131, -351, -177,
459  +13494, +6705, -2870, +10505, -334, -6612, +28, -1001, -670, +405, -783, -1035, +2308, +178, -1639, -390, +219, -411, -1192, +78, +48, +72, +135, +215, +200, +619, +296, -179, +63, -49, -474, -174,
460  +11237, +6344, -1097, +9098, -68, -4982, -506, -1321, -184, +563, -966, -831, +2204, +226, -1398, -487, +210, -400, -1067, +109, +7, -13, +137, +290, +364, +506, +81, -34, +85, -87, -211, -95,
461  +9435, +6226, -171, +7621, +609, -3889, -842, -1290, +79, +593, -877, -638, +1778, +372, -1115, -612, +133, -304, -919, +84, +28, -9, +49, +403, +518, +117, +63, +315, +9, -189, +148, +127,
462  +8281, +6134, -52, +6557, +1253, -3449, -792, -804, +3, +410, -398, -491, +1170, +585, -801, -816, +97, -92, -760, -8, +125, +10, +14, +591, +350, +20, +334, +355, -11, +73, +387, +50,
463  +7625, +5926, -212, +5732, +1440, -2973, -409, -538, -153, +402, +53, -528, +814, +714, -773, -751, +187, -25, -685, +71, +194, -126, +301, +656, +141, +177, +495, +460, +123, +277, +255, -206,
464  +6929, +5539, -213, +5156, +1489, -2470, -128, -421, -216, +512, +263, -626, +604, +666, -598, -609, +135, +2, -569, +170, +101, +124, +603, +290, +211, +558, +624, +396, +73, +189, -68, -300,
465  +6185, +4980, +12, +4844, +1476, -2007, +5, -218, -48, +475, +186, -579, +652, +583, -532, -454, +163, -44, -351, +323, +185, +454, +519, +323, +554, +596, +513, +149, -59, +27, -156, -301,
466  +5578, +4710, +139, +4160, +1511, -1429, +247, -167, -134, +535, +301, -478, +484, +512, -357, -355, +143, +139, +9, +323, +460, +774, +454, +456, +460, +265, +311, +29, -141, -56, -157, -425,
467  +4834, +4247, +381, +3890, +1667, -1077, +239, -52, +64, +515, +186, -374, +470, +446, -204, -178, +260, +402, +264, +582, +786, +717, +277, +144, +133, +174, +219, +36, -212, -220, -241, -491,
468  +4111, +3866, +739, +3569, +1573, -633, +462, -99, +98, +570, +132, -353, +509, +570, +1, -45, +535, +857, +514, +702, +653, +127, -67, +94, +33, +142, +132, -176, -297, -218, -361, -612,
469  +3730, +3751, +749, +2995, +1740, -73, +398, -128, +157, +562, +322, -106, +526, +653, +398, +535, +911, +896, +331, +268, +196, +17, -50, +13, -44, +14, +4, -239, -323, -300, -491, -605,
470  +2892, +3209, +1362, +3059, +1608, +182, +476, -76, +432, +661, +242, +160, +1034, +1084, +626, +638, +748, +381, -9, +164, +81, +56, -148, -220, -132, -95, -61, -252, -388, -412, -527, -492,
471  +2752, +3422, +1354, +2301, +1710, +560, +500, +0, +522, +1109, +816, +680, +1165, +1033, +440, -19, +152, +356, +205, +72, -219, -249, -230, -203, -210, -180, -256, -370, -297, -417, -460, -470,
472  +2213, +3015, +1710, +2495, +1858, +590, +641, +619, +1215, +1482, +1045, +756, +541, +266, +10, +87, +388, +325, -149, -273, -65, -313, -465, -315, -243, -222, -297, -239, -314, -374, -410, -472,
473  +2378, +3632, +1949, +1796, +1538, +1419, +1931, +1407, +1042, +906, +324, -55, +57, +281, +416, +73, -141, +104, -125, -338, -346, -567, -456, -178, -236, -293, -193, -168, -347, -459, -409, -412,
474  +2533, +3615, +2312, +2871, +2388, +1873, +1924, +743, -6, +118, +67, +58, +149, +131, +262, -115, -211, -1, -357, -465, -469, -597, -378, -114, -162, -284, -237, -201, -345, -426, -423, -455,
475  +2942, +4615, +3780, +3595, +1951, +1001, +577, -3, -9, +178, +100, -150, -79, +35, +232, -191, -343, -241, -527, -515, -469, -366, -285, -260, -253, -164, -168, -307, -405, -445, -401, -430,
476  +3532, +6354, +4764, +2112, +192, +502, +1060, +740, -280, -481, -6, +64, -3, -232, +35, -123, -425, -424, -500, -331, -403, -411, -380, -233, -195, -219, -156, -328, -390, -471, -421, -332,
477  +3754, +6378, +3302, +1176, +770, +1524, +1808, +405, -520, -9, +89, -401, +38, -134, -211, -179, -439, -279, -348, -439, -354, -411, -499, -252, -186, -273, -220, -306, -347, -364, -422, -391,
478  +2291, +3472, +1957, +1996, +2277, +2297, +2104, +987, +507, +706, +356, -152, -298, -91, -5, -385, -390, -196, -226, -195, -416, -447, -287, -389, -410, -244, -292, -350, -178, -230, -400, -417,
479  +1819, +2518, +1138, +1323, +2016, +2067, +1584, +1227, +1540, +1527, +1077, +599, +319, +222, -133, -344, -224, -354, -392, -98, -287, -313, -172, -348, -336, -273, -365, -452, -322, -244, -281, -244,
480  +1991, +2736, +1265, +1355, +1696, +1270, +711, +599, +1244, +1618, +1273, +1004, +935, +768, +344, -110, -219, -251, -264, -319, -400, -274, -131, -258, -317, -231, -396, -403, -299, -400, -335, -208,
481  +2251, +2968, +994, +1270, +1801, +1182, +278, +85, +960, +1169, +719, +996, +1351, +1194, +875, +354, +176, -35, -282, -178, -385, -406, -153, -263, -175, -84, -340, -346, -297, -435, -353, -295,
482  +2479, +3474, +1165, +1200, +1738, +845, +57, +328, +1004, +611, +199, +546, +759, +1002, +1149, +732, +519, +336, +110, +42, -306, -317, -221, -391, -190, -72, -254, -255, -285, -409, -356, -289,
483  +2648, +3711, +1310, +1382, +2036, +687, -508, +326, +1209, +455, +69, +381, +353, +462, +570, +467, +723, +755, +406, +258, +135, -71, -226, -267, -244, -225, -239, -248, -226, -295, -370, -333,
484  +2964, +4131, +1490, +1331, +2035, +615, -807, +460, +1251, +53, -30, +484, +328, +176, +292, +67, +31, +459, +630, +520, +346, +231, +64, -123, -179, -163, -253, -368, -325, -244, -286, -364,
485  +3240, +4589, +1670, +1277, +2158, +577, -1140, +581, +1323, -227, -122, +553, +290, +100, +235, -70, -152, +21, +69, +287, +434, +552, +333, +96, +114, -5, -177, -258, -330, -382, -258, -309,
486  +3730, +5196, +1638, +1123, +2168, +499, -1274, +755, +1209, -628, -139, +668, +292, -40, +122, -92, -234, -100, -101, -83, -135, +285, +479, +374, +279, +151, +85, -119, -293, -348, -282, -381,
487  +4119, +5684, +1732, +1126, +2228, +300, -1467, +1077, +1204, -1061, -263, +742, +305, -24, +37, -204, -274, -137, -131, -189, -340, -114, +44, +178, +404, +348, +234, +110, -83, -267, -257, -291,
488  +4622, +6186, +1693, +1242, +2320, -46, -1538, +1517, +1127, -1483, -304, +841, +294, -67, +5, -203, -308, -200, -102, -217, -386, -222, -141, -99, +23, +201, +346, +265, +65, -52, -11, -200,
489  +5193, +6638, +1553, +1499, +2388, -594, -1569, +2013, +985, -1862, -401, +847, +342, -127, -49, -265, -391, -279, -24, -258, -446, -237, -373, -107, -35, -174, -57, +100, +163, +130, +55, -58,
490  +5824, +7125, +1374, +1701, +2443, -1077, -1576, +2426, +806, -2127, -438, +769, +324, -176, +41, -326, -603, -328, -5, -213, -487, -284, -470, -142, -47, -263, -242, -262, -124, +12, +120, +33,
491  +6335, +7628, +1408, +1800, +2526, -1396, -1736, +2894, +798, -2493, -400, +738, +274, -165, +15, -222, -694, -482, +72, -261, -572, -116, -475, -277, -17, -291, -261, -317, -412, -297, -56, +28,
492  +6761, +8075, +1459, +2066, +2609, -1964, -1828, +3359, +727, -2782, -456, +715, +208, -232, -18, -148, -747, -627, +81, -302, -698, -121, -406, -325, -107, -219, -294, -466, -521, -391, -176, -288,
493  +7157, +8606, +1581, +2068, +2784, -2202, -2039, +3602, +767, -2899, -542, +707, +104, -260, -9, -128, -676, -844, +64, -130, -840, -253, -381, -284, -107, -233, -282, -564, -568, -421, -261, -447,
494  +7410, +9322, +1838, +1630, +3033, -1959, -2478, +3478, +916, -2764, -738, +578, +126, -372, +30, -107, -667, -935, -60, -32, -777, -452, -481, -148, -144, -362, -257, -530, -598, -498, -436, -437,
495  +7600, +9757, +2318, +1422, +3068, -1530, -2951, +3205, +1134, -2618, -848, +362, +153, -421, -49, -52, -609, -1028, -173, +13, -822, -437, -527, -269, -108, -428, -361, -411, -698, -654, -354, -475,
496  +8104, +9762, +2543, +1907, +2993, -1492, -3123, +3108, +1007, -2376, -799, +85, +225, -462, -207, +76, -422, -1156, -330, +104, -791, -492, -526, -345, -141, -393, -383, -537, -744, -705, -190, -505,
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511  +23984, +13865, -11140, +1506, +6153, -6455, +3221, +12728, -11274, -6683, +4149, +879, -1350, -1515, -1321, -1966, +480, -2107, -735, -1620, -134, +3538, -695, -707, +1213, -1214, -1434, -1269, -3012, -1293, -736, +72,
512  +24782, +14120, -11236, +1961, +5253, -7111, +2788, +12880, -10420, -6360, +3471, +290, -601, -1551, -1881, -1800, +635, -2271, -409, -1692, -623, +3484, +102, -645, +1121, -484, -1860, -1402, -3095, -1550, -1113, -154,
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528  +19959, +7458, -6254, +13163, -2749, -8575, +168, -1541, +524, +795, -2410, -1167, +3370, -1359, -1981, +131, -37, -600, -1272, +322, -134, +241, +366, +572, -360, -40, +508, -76, -11, +77, -84, -39,
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550  +2822, +5085, +3846, +2069, +435, +648, +1401, +1023, +236, -6, +341, +350, +172, -40, +34, -202, -361, -272, -304, -204, -29, -187, -395, -181, -217, -302, -314, -303, -311, -325, -288, -335,
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556  +2624, +4417, +2420, +1461, +1611, +190, -334, +1254, +921, -411, -37, +569, +431, +277, +366, +238, +20, +196, +411, +163, +23, +266, +197, +88, +161, +35, -197, -291, -298, -316, -320, -247,
557  +2857, +4661, +2448, +1599, +1644, -52, -369, +1426, +846, -542, -64, +578, +333, +106, +438, +207, -300, -149, +268, +191, +20, +247, +302, +342, +299, +211, +96, -235, -456, -375, -272, -328,
558  +3188, +5067, +2423, +1526, +1665, -114, -379, +1420, +746, -615, -22, +514, +244, +36, +349, +284, -291, -398, -114, +35, -95, +71, +386, +395, +370, +407, +245, -45, -298, -398, -392, -348,
559  +3392, +5464, +2575, +1426, +1705, -141, -510, +1546, +697, -819, -14, +541, +205, -81, +197, +362, -172, -517, -262, -166, -340, -129, +171, +384, +434, +397, +374, +107, -152, -237, -310, -366,
560  +3778, +5985, +2547, +1224, +1789, -132, -599, +1611, +647, -931, +4, +483, +130, -67, +79, +336, -105, -481, -339, -274, -374, -355, -90, +280, +364, +297, +401, +185, -84, -89, -184, -264,
561  +4238, +6510, +2468, +1077, +1860, -270, -600, +1756, +466, -1066, +75, +520, -27, -200, +61, +302, -74, -470, -390, -308, -412, -437, -214, +90, +251, +154, +227, +157, -56, -78, -125, -116,
562  +4791, +7085, +2292, +969, +1933, -473, -530, +1936, +231, -1156, +164, +537, -117, -309, +2, +238, -84, -390, -352, -407, -462, -398, -204, -73, +172, +87, +45, +57, -238, -129, -20, -64,
563  +5298, +7657, +2183, +875, +2016, -753, -494, +2218, -13, -1312, +267, +578, -182, -441, -93, +196, -122, -393, -302, -435, -513, -440, -113, -135, -14, +190, -70, -156, -337, -293, -128, -66,
564  +5772, +8287, +2120, +701, +2131, -1043, -540, +2502, -218, -1459, +344, +564, -207, -513, -279, +141, -129, -411, -314, -481, -509, -495, -83, -55, -189, +147, -1, -322, -411, -420, -358, -159,
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573  +10878, +9347, +643, +5807, +3528, -5043, -576, +4279, -3492, -1535, +1951, +350, -873, -858, +153, -941, -755, -1006, -1030, -132, +274, -915, -234, +450, -136, +336, -408, -493, -454, -795, -947, -437,
574  +11510, +9866, -517, +5809, +4860, -5267, -967, +4693, -4147, -1854, +2440, +298, -1178, -888, +429, -1109, -918, -824, -1173, -606, +385, -531, -456, +537, -109, +345, -322, -566, -435, -822, -1034, -491,
575  +12635, +10354, -1762, +5073, +6221, -4898, -1391, +4717, -4535, -2049, +2756, +364, -1594, -867, +721, -1229, -1148, -678, -1099, -989, +154, -84, -438, +418, +119, +303, -273, -468, -478, -915, -1048, -631,
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577  +14744, +11698, -4040, +3065, +7514, -2833, -1645, +3985, -4805, -2328, +2928, +769, -2368, -998, +1104, -1337, -1464, -742, -746, -1258, -738, +270, +219, -28, +461, +565, -183, -98, -674, -1208, -1015, -822,
578  +15661, +12563, -4797, +1712, +7684, -1798, -1303, +3560, -5128, -2181, +2756, +928, -2517, -1206, +1167, -1348, -1484, -913, -576, -1200, -996, -13, +556, +59, +345, +829, -12, -35, -778, -1229, -1099, -956,
579  +16364, +13610, -5417, +358, +7606, -1081, -694, +3363, -5713, -1853, +2574, +824, -2410, -1460, +1029, -1325, -1426, -1134, -452, -1081, -1063, -425, +647, +304, +234, +1059, +210, -50, -832, -1188, -1210, -1113,
580  +17301, +14490, -6249, -381, +7171, -884, +239, +3371, -6504, -1381, +2548, +400, -2128, -1591, +701, -1356, -1209, -1399, -313, -902, -1081, -684, +503, +524, +231, +1359, +398, -161, -776, -1179, -1300, -1239,
581  +19090, +14422, -7537, +119, +6088, -1186, +1568, +3110, -7218, -739, +2538, -295, -1756, -1656, +234, -1424, -1032, -1537, -233, -694, -1129, -779, +292, +571, +268, +1771, +559, -457, -623, -1262, -1420, -1267,
582  +20805, +14336, -8736, +920, +4704, -1494, +2649, +2925, -7561, -328, +2504, -973, -1224, -1901, -205, -1369, -1023, -1413, -248, -538, -1010, -940, +175, +531, +207, +2290, +770, -842, -494, -1328, -1610, -1150,
583  +22109, +14485, -9555, +1595, +3405, -1875, +3399, +2878, -7467, -159, +2320, -1375, -756, -2191, -602, -1235, -972, -1286, -262, -418, -788, -1088, +82, +594, -8, +2708, +1095, -1168, -535, -1285, -1751, -974,
584  +22911, +14859, -9889, +1889, +2263, -2415, +3753, +2933, -7127, -227, +1986, -1630, -415, -2450, -1051, -1037, -827, -1434, -165, -366, -647, -1068, -154, +882, -368, +2616, +1524, -1241, -905, -1145, -1703, -979,
585  +23245, +15363, -9604, +1856, +1322, -3040, +3776, +3098, -6633, -350, +1568, -1819, -103, -2618, -1435, -794, -655, -1757, +41, -318, -654, -746, -459, +1267, -738, +1911, +2006, -928, -1339, -994, -1484, -1026,
586  +23048, +16128, -8809, +1596, +486, -3594, +3405, +3364, -5994, -577, +1227, -2110, +338, -2650, -1697, -633, -515, -2058, +200, -158, -867, -14, -786, +1297, -792, +869, +2115, -163, -1403, -1180, -994, -927,
587  +22809, +16473, -7468, +1279, -304, -4094, +2691, +3769, -5530, -656, +858, -2440, +917, -2540, -1937, -596, -384, -2335, +377, -58, -950, +797, -1345, +1069, -434, -289, +1797, +898, -1234, -1327, -340, -1167,
588  +22287, +16759, -6019, +907, -957, -4847, +1807, +4137, -5333, -671, +434, -2757, +1592, -2484, -2177, -772, -331, -2403, +180, +397, -1148, +952, -1488, +457, +9, -900, +941, +1571, -432, -1370, -331, -1254,
589  +21687, +17120, -4653, +1201, -1531, -5605, +1233, +4224, -4907, -618, +334, -2824, +2339, -2255, -2444, -777, -345, -2119, +138, +690, -1476, +1035, -1282, -255, +720, -854, -197, +2118, +560, -1484, -235, -840,
590  +20812, +17571, -3517, +1604, -1925, -6559, +655, +3983, -4426, -559, +260, -2689, +2858, -2122, -2599, -1007, -244, -1381, -668, +771, -1403, +492, -756, -404, +502, +93, -695, +1167, +1322, -839, -247, -943,
591  +20139, +17539, -2371, +1932, -2101, -7422, -134, +3611, -3812, -412, +185, -2382, +3168, -1970, -3046, -567, -229, -1405, -1029, +419, -1307, +375, -467, -375, +380, +1214, -1001, -411, +2033, -274, -430, -799,
592  +19753, +17050, -1457, +2572, -2382, -8049, -965, +2983, -2716, -235, -326, -1321, +2916, -2171, -2296, -826, -571, -1104, -1712, +62, -637, +159, -684, +668, +232, +865, +69, -1322, +1025, +254, +67, -588,
593  +19313, +16611, -863, +3251, -2596, -8557, -2035, +2815, -1745, -84, -572, -839, +2943, -1918, -2229, -1014, -802, -1378, -1915, +318, -814, +322, -33, +499, +177, +995, +794, -1733, -313, +324, +698, -311,
594  +19432, +15373, -280, +4094, -3296, -8664, -2599, +2170, -225, -30, -1542, +594, +2691, -2281, -1544, -1686, -1307, -903, -1915, -153, -126, +698, -360, +340, +825, +1064, +273, -993, -998, -689, +1129, +142,
595  +19161, +14270, +164, +4902, -4023, -8420, -3080, +1712, +839, +173, -2097, +1066, +2771, -2396, -1584, -2406, -841, -783, -2457, +724, +24, +6, +115, +460, +603, +1331, -24, -638, -844, -1849, +898, +543,
596  +18185, +13294, +1396, +5056, -4975, -6537, -4217, +256, +3477, -142, -3597, +2330, +2565, -2744, -1485, -2544, -786, -568, -2073, +767, -278, -87, +712, +47, +286, +1855, +49, -975, -401, -2019, -110, +720,
597  +18313, +12559, +1145, +3915, -4788, -4611, -4800, -248, +4385, -385, -3737, +2444, +2059, -2542, -1236, -3085, -90, -60, -2227, +677, -342, +170, +590, -167, +444, +1928, +89, -943, -588, -1828, -345, +588,
598  +19047, +11703, -955, +4365, -4893, -3853, -3267, -1533, +4299, +134, -4009, +2112, +2030, -2635, -1305, -2227, -55, -224, -2038, +767, -148, -368, +345, +393, +586, +1413, +142, -763, -846, -1547, -218, +199,
599  +19014, +10464, -2335, +5732, -4481, -4151, -2526, -849, +3281, -472, -3208, +1847, +1902, -2824, -779, -1622, -183, -396, -1924, +1079, -378, -665, +394, +566, +672, +1279, -35, -701, -812, -1354, +31, +44,
600  +18162, +9492, -3044, +7090, -3964, -4906, -1033, -851, +1796, -66, -2783, +1424, +1900, -2369, -665, -1270, -198, -516, -1532, +747, -522, -404, +331, +314, +897, +1359, -338, -718, -601, -1136, +5, +342,
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603  +12278, +8141, +1428, +3486, -3243, -1249, -493, -560, +165, -592, -1924, +1327, +1447, -1595, +92, -1011, -282, -108, -1214, +238, -313, -593, +289, +150, -236, +853, +317, -36, -85, -842, +19, -3,
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605  +8218, +7700, +2637, +2474, -1307, -764, -546, -580, +192, -485, -1350, +993, +1042, -888, +8, -569, -372, -127, -680, -31, -355, -306, +131, -53, +119, +550, +383, +249, -130, -272, +357, +9,
606  +7260, +6952, +2528, +2729, -947, -957, -177, -207, -119, -455, -915, +762, +893, -798, +106, -330, -495, -95, -429, -94, -346, -203, -44, +24, +289, +567, +633, +250, -96, -40, +210, -228,
607  +6314, +6251, +2666, +2794, -629, -891, -34, +102, -183, -316, -716, +491, +887, -525, +110, -285, -414, +113, -262, -316, -185, -38, -118, +319, +459, +666, +731, +112, -104, -55, +52, -322,
608  +5417, +5613, +2827, +2816, -327, -838, +28, +455, -189, -286, -591, +343, +896, -378, +146, -174, -275, +223, -276, -286, +110, +144, +58, +429, +461, +747, +496, -173, -50, +14, -42, -390,
609  +4737, +5252, +2774, +2553, +28, -656, +97, +596, -174, -128, -477, +136, +904, -37, +86, -133, -68, +253, -71, +76, +414, +107, +44, +523, +339, +397, +292, -77, +23, -24, -184, -339,
610  +3981, +4689, +2974, +2705, +128, -673, +191, +862, -76, -188, -396, +170, +926, +95, +102, -7, +257, +567, +232, +227, +237, +46, +2, +205, +229, +329, +244, -63, +38, -31, -270, -262,
611  +3639, +4461, +2924, +2330, +166, -438, +386, +823, -29, -56, -316, +227, +932, +175, +339, +566, +570, +436, +183, +186, -95, -222, +17, +187, +153, +207, +145, +26, +72, -187, -282, -293,
612  +3259, +4171, +2982, +2255, +67, -366, +661, +923, -74, +111, -202, +162, +1330, +741, +513, +485, +402, +353, -62, -283, -157, +6, -120, +24, +146, +186, +148, -35, -33, -267, -322, -309,
613  +3122, +4118, +2900, +1944, +0, -98, +882, +1021, -181, +159, +515, +745, +1264, +473, +425, +351, -23, -30, -118, -265, -166, -97, -186, +192, +98, -114, +91, +11, -210, -322, -297, -412,
614  +3235, +4303, +2623, +1571, +77, +285, +881, +1185, +547, +613, +652, +402, +925, +370, -45, -8, +19, -59, -264, -364, +11, +81, -230, -1, -128, -117, +119, -34, -321, -411, -265, -385,
615  +3389, +4725, +2245, +1203, +58, +908, +2020, +1399, +334, +357, +538, +113, +387, +96, +39, -34, -209, -107, -173, -4, +62, -200, -339, -98, -124, -103, +123, -133, -427, -315, -196, -296,
616  +3432, +4882, +1947, +1109, +1266, +1747, +1687, +1007, +236, +86, +163, -84, +293, +0, -42, -68, -271, +122, +155, -210, -251, -156, -291, -288, -163, +38, -58, -180, -248, -250, -248, -317,
617  +3101, +4702, +2964, +1975, +929, +1541, +1764, +744, -57, -59, +188, -44, +87, -46, -2, +54, +100, +125, -120, -181, -166, -232, -402, -239, -149, -71, +43, -36, -164, -289, -356, -319,
618  +3896, +5904, +2447, +896, +1159, +1573, +1310, +595, -175, -62, +179, +2, +162, -166, +142, +495, +86, -291, -23, -10, -305, -361, -351, -199, -209, +43, +163, +6, -270, -382, -312, -377,
619  +4111, +6381, +2053, +273, +1154, +1396, +1209, +828, +5, -261, +331, +111, +75, +99, +333, +466, -15, -97, -25, -78, -294, -279, -352, -332, -105, +81, +175, -17, -195, -388, -359, -345,
620  +3095, +5772, +3360, +570, +281, +922, +1379, +1273, +83, -225, +436, +376, -8, +55, +499, +520, +210, -84, -45, +41, -164, -351, -289, -251, -244, +17, +144, +52, -153, -277, -319, -362,
621  +2581, +5083, +3747, +1205, +166, +554, +1050, +1250, +302, -212, +397, +598, +127, +67, +436, +383, +436, +172, +39, +53, -182, -180, -149, -287, -291, -5, +118, -12, -207, -177, -214, -333,
622  +2552, +4951, +3531, +1372, +349, +359, +972, +1271, +183, -443, +321, +679, +210, +58, +442, +429, +340, +218, +211, +180, -63, -124, -120, -161, -112, -103, +24, +72, -222, -300, -275, -209,
623  +2665, +4956, +3357, +1460, +482, +248, +879, +1296, +212, -508, +150, +505, +100, +12, +412, +341, +306, +406, +139, +62, +128, -3, -44, -39, -12, -31, +66, +41, -175, -338, -364, -294,
624  +2910, +5172, +3202, +1418, +526, +219, +908, +1323, +135, -544, +153, +494, +74, -268, +195, +282, +179, +422, +266, +64, +20, -95, +137, +155, -18, +190, +178, +50, -99, -282, -367, -378,
625  +3106, +5510, +3157, +1272, +654, +172, +826, +1393, +101, -594, +108, +460, +164, -335, -22, +133, -125, +219, +461, +52, -105, -110, +31, +176, +54, +285, +298, +145, +61, -223, -389, -316,
626  +3368, +5932, +3118, +1145, +758, +78, +765, +1468, +37, -717, +138, +457, +120, -290, -144, +62, -257, -129, +404, +63, -206, -153, -100, +152, +60, +155, +386, +264, +71, -31, -197, -377,
627  +3733, +6456, +3058, +942, +889, +25, +681, +1552, -15, -820, +148, +459, +69, -211, -190, -47, -265, -323, +274, +169, -372, -347, -72, +87, +21, +34, +374, +281, +11, +98, -68, -219,
628  +4188, +7066, +2967, +691, +995, -34, +635, +1651, -188, -887, +235, +437, -43, -227, -100, -139, -354, -381, +96, +266, -304, -584, -157, +39, -36, +7, +204, +218, +59, +6, -48, -108,
629  +4746, +7725, +2804, +457, +1072, -163, +664, +1759, -458, -963, +395, +430, -203, -287, -43, -200, -465, -426, -10, +200, -148, -659, -283, +63, -164, -51, +108, +49, +5, -21, -57, -176,
630  +5293, +8424, +2691, +200, +1075, -352, +722, +1883, -811, -1091, +593, +430, -407, -391, +9, -266, -633, -524, -73, +107, -103, -596, -428, +55, -134, -199, +69, -190, -167, +13, -143, -226,
631  +5863, +9141, +2667, +40, +1052, -543, +868, +2094, -1172, -1177, +878, +497, -546, -487, +104, -257, -732, -597, -153, +94, -40, -473, -388, -65, +22, -141, -52, -184, -372, -50, -90, -264,
632  +6256, +9830, +2894, -163, +970, -781, +879, +2372, -1514, -1408, +1131, +611, -714, -628, +124, -250, -817, -728, -318, +48, +3, -481, -237, -140, -63, +59, -165, -299, -349, -283, -158, -207,
633  +6594, +10538, +3188, -331, +878, -910, +803, +2530, -1667, -1658, +1306, +784, -813, -792, +152, -249, -880, -762, -546, -74, +192, -563, -200, +88, -247, +128, -7, -470, -416, -264, -343, -125,
634  +6837, +11211, +3624, -582, +873, -887, +585, +2486, -1630, -1804, +1272, +974, -837, -900, +104, -254, -971, -753, -648, -416, +302, -345, -395, +287, -167, -70, +229, -446, -659, -259, -391, -167,
635  +7304, +11778, +3694, -565, +932, -974, +429, +2281, -1610, -1825, +1167, +1061, -833, -962, +48, -273, -1134, -738, -667, -706, +131, -22, -389, +150, +154, -245, +198, -184, -827, -453, -344, -269,
636  +8235, +12147, +3165, -179, +1250, -1280, +244, +2247, -1802, -1646, +1035, +1095, -763, -1091, +127, -372, -1161, -866, -623, -801, -185, +121, -30, -44, +248, -32, -42, -16, -686, -726, -403, -227,
637  +9297, +12266, +2226, +787, +1787, -2113, +102, +2510, -2139, -1611, +994, +1052, -665, -1269, +199, -511, -1125, -991, -710, -778, -421, -49, +341, +106, +24, +220, -125, -69, -467, -801, -641, -218,
638  +10147, +12083, +1353, +2463, +2227, -3535, +293, +3115, -2724, -1863, +1270, +952, -736, -1330, +259, -696, -1131, -995, -849, -797, -533, -301, +461, +439, -103, +301, -72, -178, -379, -650, -774, -450,
639  +10811, +11594, +849, +4553, +2308, -5080, +959, +3783, -3596, -2129, +1832, +791, -1018, -1161, +326, -938, -1147, -869, -944, -907, -502, -461, +355, +652, +38, +401, -29, -244, -390, -373, -749, -645,
640  +12468, +11803, -955, +4782, +3329, -5109, +523, +3592, -3808, -2001, +2054, +456, -1328, -944, +309, -1271, -1148, -913, -864, -1037, -475, -486, +86, +849, +201, +318, +27, -164, -495, -300, -684, -554,
641  +14105, +12174, -2678, +4502, +4313, -4564, -152, +3309, -3818, -1885, +2202, +220, -1631, -822, +354, -1654, -1062, -1037, -689, -1076, -553, -275, -262, +847, +479, +306, -29, -31, -462, -290, -612, -344,
642  +15495, +12899, -4263, +3779, +5080, -3531, -900, +2885, -3629, -1828, +2258, +22, -1763, -951, +442, -1975, -1049, -1113, -557, -940, -769, +0, -446, +597, +677, +483, -199, +94, -302, -403, -398, -267,
643  +17119, +13318, -5617, +3044, +5263, -2373, -1299, +2236, -3473, -1545, +2114, -220, -1690, -1270, +432, -2146, -1156, -1068, -496, -761, -890, +68, -296, +183, +744, +728, -384, +229, -162, -523, -141, -307,
644  +18484, +13996, -6861, +2361, +5043, -1327, -1316, +1482, -3224, -1275, +1889, -488, -1425, -1754, +345, -2172, -1331, -893, -513, -608, -886, +7, -57, -56, +527, +1062, -513, +203, +21, -599, -22, -277,
645  +19664, +14808, -7930, +1852, +4472, -629, -944, +743, -2898, -1130, +1684, -714, -1190, -2160, +165, -2109, -1400, -723, -585, -442, -817, -87, +159, -22, +135, +1403, -577, -74, +264, -623, -30, -70,
646  +21117, +15043, -8651, +1665, +3562, -302, -433, +306, -2732, -998, +1479, -897, -1082, -2373, -85, -2001, -1270, -757, -612, -253, -784, -73, +231, +244, -130, +1411, -530, -488, +338, -544, +88, +69,
647  +22154, +15465, -8959, +1402, +2531, -346, +86, +155, -2719, -964, +1298, -1197, -837, -2538, -368, -1715, -1223, -911, -611, -54, -781, -33, +268, +653, -384, +1073, -318, -957, +90, -192, +241, +104,
648  +22859, +15907, -8818, +1234, +1297, -584, +637, +95, -2746, -892, +980, -1473, -344, -2665, -593, -1404, -1232, -1113, -586, +219, -920, +190, +386, +763, -501, +647, -217, -1200, -157, -60, +514, +428,
649  +23324, +16162, -8220, +1233, -271, -830, +1044, +4, -2761, -848, +545, -1644, +393, -2819, -805, -1116, -1381, -1232, -481, +245, -798, +446, +127, +832, -496, +109, -143, -1012, -512, -218, +1023, +636,
650  +23496, +16326, -7279, +1262, -1985, -1155, +1282, -135, -2863, -819, +135, -1617, +1191, -3031, -953, -1076, -1474, -1177, -641, +567, -852, +321, -9, +770, -595, -103, +21, -1077, -316, -427, +637, +1058,
651  +23095, +16685, -5961, +1382, -3468, -1694, +1418, -258, -2996, -670, +47, -1596, +2016, -3064, -1350, -839, -1582, -979, -545, +371, -989, +403, -350, +690, -257, -300, +78, -651, -207, -824, +183, +1360,
652  +23064, +16194, -4345, +1405, -4772, -2458, +1309, -309, -3246, -87, -265, -1329, +2641, -3203, -1669, -828, -1062, -1045, -1017, +329, -1074, +156, -379, +809, -266, -110, +348, -721, -327, -460, -318, +476,
653  +22166, +16307, -2720, +1513, -5503, -3602, +868, +57, -3167, +189, -262, -1102, +3165, -3419, -1892, +19, -1444, -1300, -1087, -50, -1052, +281, -440, +743, +297, +10, -121, -326, +62, -941, -205, -296,
654  +21370, +16040, -1198, +1538, -5866, -4987, +180, +1090, -3147, +120, +48, -770, +2709, -2688, -1726, -511, -1299, -1588, -1418, -44, -787, -13, -172, +1224, -173, +86, +190, -419, +152, -1134, +61, -580,
655  +20588, +15763, -447, +2263, -6362, -6502, +294, +1839, -3312, +732, -314, -780, +3610, -2936, -1826, -471, -1919, -1347, -1286, -339, -634, +489, -63, +635, +27, +550, -117, -722, +816, -1169, -430, +0,
656  +20517, +14351, +399, +2893, -7361, -6720, +201, +2186, -2610, +382, -514, +112, +3193, -2866, -1734, -1281, -1564, -810, -1919, -87, +325, -151, -301, +1086, -74, +249, +48, -598, +812, -904, -810, +141,
657  +19676, +13347, +1269, +2990, -7493, -6742, +83, +2235, -1954, +838, -1855, +980, +3383, -3609, -1607, -1296, -1241, -963, -1499, +306, -188, -169, +134, +680, -311, +474, +114, -498, +603, -657, -632, -512,
658  +18294, +12994, +1651, +2477, -6776, -5594, -1193, +2361, -74, -729, -2110, +2060, +2280, -3521, -925, -1755, -1040, +4, -1831, -24, +217, -146, -194, +523, -89, +412, +148, -368, +547, -585, -520, -748,
659  +18558, +12123, -346, +2881, -6362, -4645, -59, +1181, -164, -263, -2409, +2048, +1834, -3453, -616, -1525, -435, -206, -2101, +563, +264, -775, -79, +639, -65, +370, -42, -65, +678, -907, -609, -386,
660  +17685, +10480, -40, +3473, -6519, -2739, -508, +476, +794, -1230, -2572, +2593, +1476, -3576, +141, -1207, -497, -277, -1926, +798, -90, -892, +128, +624, -265, +467, +194, -122, +569, -901, -567, -322,
661  +16309, +9199, +186, +4082, -5385, -2804, -279, +710, -5, -1375, -2021, +2397, +953, -2773, +531, -1321, -456, -212, -1629, +612, -269, -841, +361, +372, -412, +797, +264, -230, +451, -838, -585, -226,
662  +15571, +11264, +2379, +478, -10208, -3446, +2999, +3275, -500, -1930, -3348, +266, +1652, -1984, +1186, -362, -580, +611, -665, +483, -71, -639, -236, -683, -414, +551, -551, -99, +973, -315, +229, -109,
663  +13108, +11000, +3186, +1280, -8696, -4695, +2112, +2705, +415, -824, -3163, -516, +1162, -1069, +990, -408, -449, +725, -557, +276, +252, -440, -211, -595, -598, +266, -697, +52, +1118, -108, +414, -97,
664  +11346, +10103, +3442, +1763, -7242, -4319, +1504, +1898, +542, -443, -2642, -793, +1114, -726, +553, -274, -403, +642, -397, +111, +268, -218, -281, -579, -486, +53, -591, +203, +993, +104, +363, -159,
665  +9333, +9181, +4026, +1891, -5737, -3665, +628, +1442, +686, -179, -2080, -924, +1011, -560, +271, -128, -344, +546, -210, +21, +313, -35, -349, -508, -402, +17, -265, +291, +786, +199, +233, -195,
666  +7824, +8565, +4450, +1794, -4594, -3174, +140, +1252, +671, +30, -1593, -927, +798, -461, +248, -40, -339, +534, -12, -10, +342, +33, -332, -281, -185, +20, -144, +273, +558, +171, +139, -239,
667  +6337, +7830, +4715, +1908, -3553, -2897, -163, +1081, +702, +211, -1249, -839, +616, -437, +196, +111, -267, +479, +135, +12, +326, +212, -47, -34, -177, -218, -105, +167, +266, +120, +84, -158,
668  +5342, +7158, +4878, +2188, -2903, -2714, -263, +1026, +804, +276, -973, -621, +425, -432, +323, +229, -177, +523, +156, +236, +666, +314, -37, +11, -270, -439, -68, +145, +155, +196, +77, -226,
669  +4764, +6717, +4705, +2043, -2555, -2349, -213, +866, +792, +353, -756, -574, +302, -362, +407, +259, -158, +679, +475, +400, +570, +170, -131, -157, -526, -408, +47, -28, +159, +57, -96, +32,
670  +4181, +6120, +4609, +2151, -2225, -2162, -181, +900, +848, +365, -518, -436, +242, -269, +393, +570, +370, +732, +393, +271, +373, -75, -324, -138, -536, -326, +93, -221, -12, +223, +50, -24,
671  +4015, +5982, +4273, +1823, -2038, -1791, +35, +933, +871, +389, -235, -337, +148, +75, +824, +806, +274, +455, +265, +150, +178, -130, -231, -188, -435, -270, -151, -8, +202, +32, -30, +38,
672  +3935, +5782, +3945, +1507, -1917, -1335, +323, +927, +964, +503, -86, -55, +602, +326, +626, +524, +61, +238, +130, +138, +142, -108, -297, -233, -424, -97, +144, -211, +2, +11, +59, +102,
673  +3902, +5745, +3557, +1311, -1656, -1075, +626, +1068, +893, +711, +517, +29, +271, +228, +356, +317, +28, +184, +167, +138, +52, -157, -344, -161, +13, -100, -239, -186, +14, +16, +22, +148,
674  +3628, +5656, +3399, +1258, -1213, -703, +858, +1220, +1301, +913, +184, -182, +3, -30, +266, +240, +91, +140, +96, +72, +8, -109, -120, +190, -242, -389, -174, -137, -134, -75, +225, -41,
675  +3635, +5627, +3156, +1153, -667, -305, +1152, +1542, +949, +463, +84, -274, -67, -129, +266, +232, +17, +66, +88, +199, -87, +174, +189, -310, -329, -218, -244, -286, -93, -9, -62, +33,
676  +3750, +5696, +2978, +1126, -254, +215, +1221, +1141, +606, +286, +8, -220, -48, -224, +233, +223, -143, +120, +323, +31, +156, +458, -282, -324, -203, -336, -370, -173, -80, -307, +26, +219,
677  +3708, +6007, +3252, +1084, -197, +131, +973, +976, +487, +259, +136, -370, -69, -106, +43, +210, -33, +247, +171, +273, +554, -86, -293, -37, -371, -530, -251, -143, -337, -184, +155, +321,
678  +3943, +6405, +3364, +855, -445, -300, +746, +1177, +555, +245, +158, -422, -186, -48, +127, +143, +129, +192, +83, +689, +384, -278, -109, -102, -392, -521, -225, -363, -322, +86, +221, +118,
679  +3963, +6788, +3553, +597, -677, -627, +588, +1136, +500, +391, +206, -514, -153, +22, +70, +197, +285, -39, +123, +985, +227, -286, +1, -155, -441, -352, -267, -542, -311, +209, +364, -112,
680  +3772, +6899, +3947, +501, -937, -727, +636, +1168, +340, +109, +160, -312, -140, -4, +244, +180, +122, +45, +73, +884, +451, -250, -58, -111, -413, -290, -294, -523, -289, +122, +331, -74,
681  +3462, +6882, +4502, +695, -1202, -904, +656, +1374, +518, -169, -142, -383, -288, +151, +492, +188, +134, +104, -153, +774, +761, -195, -124, +19, -277, -262, -247, -438, -285, +127, +319, -81,
682  +3402, +6922, +4775, +801, -1378, -1083, +663, +1537, +602, -245, -249, -453, -540, -124, +493, +404, +124, +134, -71, +426, +838, +18, -287, -73, -153, -110, -193, -451, -296, +175, +269, -23,
683  +3560, +7157, +4846, +842, -1601, -1246, +801, +1630, +679, -335, -317, -376, -611, -299, +272, +320, +96, +184, +134, +295, +750, +284, -376, -324, -110, -14, -46, -352, -273, +168, +253, +68,
684  +3781, +7518, +5064, +780, -1878, -1426, +861, +1887, +678, -490, -323, -360, -585, -337, +124, +225, -92, -87, +272, +304, +648, +580, -207, -590, -353, -33, +88, -214, -276, +256, +259, +93,
685  +4023, +8013, +5260, +520, -2126, -1537, +904, +2110, +621, -684, -367, -338, -545, -334, +31, +151, -90, -326, +98, +316, +484, +602, +136, -551, -624, -186, +88, -177, -281, +258, +226, +119,
686  +4437, +8672, +5470, +189, -2426, -1777, +1004, +2534, +471, -984, -417, -281, -536, -313, +40, +69, -119, -424, -33, +239, +301, +445, +325, -371, -639, -347, -13, -119, -335, +161, +141, +68,
687  +4952, +9349, +5539, -179, -2758, -2011, +1219, +2888, +279, -1276, -463, -211, -592, -300, +102, -4, -169, -480, -76, +194, +168, +301, +339, -242, -691, -395, -6, -107, -357, +112, +26, -204,
688  +5239, +10282, +5947, -647, -3196, -2226, +1311, +3315, +161, -1681, -491, -173, -597, -373, +170, -45, -294, -440, -175, +126, +127, +78, +331, -124, -648, -478, -149, -83, -176, +24, -84, -362,
689  +5839, +11149, +6005, -1123, -3665, -2327, +1613, +3627, -71, -2065, -429, -99, -639, -410, +251, -61, -421, -436, -166, +117, +55, -75, +317, -59, -558, -473, -198, -174, -157, +173, -146, -406,
690  +6264, +12031, +6260, -1503, -4165, -2511, +1902, +3881, -220, -2443, -428, +51, -706, -495, +320, -9, -559, -492, -144, +113, +44, -260, +228, +46, -480, -381, -268, -203, -217, +218, -114, -429,
691  +6813, +12945, +6569, -1945, -4848, -2783, +2188, +4127, -523, -2951, -443, +204, -809, -654, +274, +56, -695, -599, -243, +84, +37, -469, +12, +64, -398, -293, -252, -328, -254, +98, -55, -527,
692  +7209, +13717, +6921, -1967, -5316, -3090, +2544, +4308, -606, -3304, -485, +501, -832, -729, +300, +116, -725, -556, -280, +71, +96, -513, -156, +86, -225, -237, -54, -372, -184, +51, -70, -428,
693  +7996, +14426, +6885, -1822, -5825, -3511, +3030, +4353, -912, -3620, -593, +764, -830, -921, +358, +119, -837, -534, -312, +44, +63, -481, -430, -53, +49, -227, +88, -308, -219, +114, -168, -425,
694  +8882, +15071, +6412, -1835, -5966, -3673, +3408, +4119, -1227, -3662, -763, +899, -746, -1111, +359, +151, -942, -516, -330, +17, -16, -403, -535, -393, +280, -94, +75, -119, -291, +140, -109, -538,
695  +10567, +15752, +4909, -1935, -5684, -3567, +3668, +3636, -1744, -3453, -930, +847, -522, -1336, +279, +135, -969, -534, -297, -7, -169, -364, -497, -748, +299, +223, -60, +142, -209, -44, +74, -643,
696  +11943, +15859, +3693, -1168, -5342, -4152, +3859, +3672, -2239, -3456, -946, +824, -414, -1484, +211, +82, -987, -499, -174, -100, -272, -362, -415, -898, +70, +599, -127, +237, +12, -204, +166, -634,
697  +13286, +15772, +2438, -128, -4984, -4823, +4009, +3750, -2786, -3502, -799, +696, -411, -1556, +156, -56, -1055, -395, +29, -275, -377, -305, -450, -921, -205, +832, -22, +179, +243, -241, +88, -561,
698  +15203, +16245, +66, +61, -3930, -4645, +3668, +3392, -3154, -3516, -581, +453, -338, -1692, +34, -193, -1068, -347, +256, -295, -574, -274, -592, -759, -402, +757, +277, +182, +289, -131, -87, -538,
699  +17246, +16423, -2122, -11, -3063, -3961, +3236, +2949, -3315, -3590, -360, +310, -300, -1854, +21, -379, -1001, -238, +408, -257, -762, -185, -742, -584, -408, +586, +464, +330, +189, -58, -105, -673,
700  +19117, +17194, -4525, -594, -2040, -2928, +2541, +2436, -3174, -3955, -153, +154, -238, -2084, -35, -538, -893, -103, +477, -124, -1066, -60, -862, -458, -281, +408, +389, +584, +66, -198, +49, -844,
701  +20721, +17777, -6299, -1368, -1442, -1849, +1965, +2056, -2976, -4357, -43, +20, -202, -2215, -94, -626, -745, -20, +462, +11, -1311, +50, -912, -421, -24, +317, +54, +773, +39, -439, +197, -803,
702  +22510, +18390, -7885, -2507, -1141, -610, +1490, +1800, -2821, -4825, -36, -196, -92, -2264, -98, -656, -568, +0, +406, +174, -1496, +186, -1014, -271, +276, +136, -341, +713, +119, -602, +263, -543,
703  +23764, +19077, -8920, -3523, -1276, +188, +1429, +1689, -2771, -5201, -193, -427, +128, -2191, -88, -582, -532, -60, +345, +366, -1555, +193, -996, -85, +266, +23, -631, +431, +299, -553, +232, -344,
704  +24818, +19733, -9528, -4328, -1918, +770, +1688, +1610, -2757, -5522, -511, -645, +585, -2065, -55, -440, -631, -162, +378, +612, -1616, +251, -901, -119, +151, -32, -905, +195, +543, -403, +171, -190,
705  +25942, +20257, -9828, -5006, -3337, +1229, +2251, +1491, -2816, -5884, -1016, -737, +1357, -2026, +75, -408, -894, -120, +477, +717, -1428, +314, -1223, -176, -2, -219, -932, +91, +634, -169, +260, -194,
706  +26806, +20370, -9612, -5429, -4920, +1516, +2696, +1428, -3018, -6052, -1361, -633, +1984, -1981, +130, -617, -894, -5, +427, +963, -1258, -100, -1423, -216, -233, -165, -732, -55, +587, +188, +254, -445,
707  +27209, +20584, -8793, -5848, -6861, +1389, +3245, +1326, -3300, -5756, -1708, -571, +2761, -2008, -124, -572, -811, +83, +640, +854, -1485, -319, -1727, -286, -130, -52, -610, -82, +598, +192, +317, -394,
708  +26893, +21151, -7832, -5916, -8592, +716, +3831, +1043, -3056, -5275, -2081, -436, +3209, -2095, -313, -337, -686, +446, +148, +578, -1361, -677, -1772, -79, -85, -62, -326, -96, +288, +256, +729, -628,
709  +26953, +20650, -6193, -5839, -10706, -128, +4025, +1350, -2673, -4655, -2334, -397, +3476, -2270, -280, +333, -640, -63, -135, +292, -1261, -713, -1609, +24, -62, +134, -367, -195, +342, +253, +839, -600,
710  +26223, +20702, -4716, -5564, -12304, -1451, +4411, +2099, -2421, -4083, -2432, -598, +3439, -2035, +238, +317, -1138, -105, -496, +286, -908, -750, -1436, +173, -78, -80, -177, -33, +173, +164, +1062, -575,
711  +25928, +19969, -3485, -5141, -13936, -2549, +5094, +2717, -2372, -3260, -2726, -1115, +3984, -1704, +8, +193, -1565, -173, -413, +254, -689, -651, -1111, -74, -302, +129, -24, -206, +176, +212, +1048, -582,
712  +25176, +19122, -2331, -4479, -15530, -3096, +5493, +3261, -1783, -2862, -3340, -611, +4094, -2064, +150, -498, -1520, +306, -690, +346, -212, -559, -1329, -185, -92, +42, -36, -161, +240, +170, +921, -542,
713  +24482, +17970, -1385, -4296, -15673, -3520, +5482, +4107, -1928, -2384, -3245, -840, +4078, -2209, -307, -382, -1158, +232, -617, +670, -229, -809, -1085, -111, -314, +49, +102, -188, +256, +76, +933, -522,
714  +23018, +16730, -558, -3503, -15157, -4048, +5380, +4222, -1077, -2064, -4052, -288, +3518, -2565, -42, -296, -1035, +526, -341, +255, -181, -591, -933, -333, -446, +264, +149, -398, +317, +312, +625, -550,
715  +21612, +15388, -80, -2338, -14307, -4401, +4806, +4911, -877, -2366, -3925, -404, +3244, -2585, +155, -320, -674, +881, -905, +291, +164, -706, -883, -428, -426, +443, -108, -467, +714, +169, +330, -367,
716  +19859, +13489, +594, -510, -13595, -4524, +5021, +4279, -755, -2023, -4414, +179, +2843, -2732, +498, -73, -330, +471, -963, +610, +149, -898, -638, -432, -427, +380, -223, -282, +814, +29, +168, -248,
717  +17742, +12321, +1537, +213, -12421, -3676, +4012, +3612, -294, -2291, -3920, +331, +2249, -2515, +892, +37, -643, +510, -767, +581, +11, -855, -358, -539, -531, +491, -270, -331, +960, -123, +115, -173,
718  +16821, +11926, +463, -1706, -11380, -169, +5057, +1524, -1492, -1439, -2644, -359, +2193, -2391, +635, +125, -644, +317, -422, +472, -172, -610, -637, -211, -252, -7, -26, -80, -218, -217, +829, -147,
719  +13656, +11995, +3238, -883, -11164, -2746, +3338, +2611, +688, -1041, -2888, -1083, +1213, -1539, +1161, +189, -818, +634, -355, +123, +274, -342, -515, +152, -873, -436, -4, -321, +327, +309, +783, -46,
720  +11207, +10925, +3942, -83, -8816, -2936, +2399, +2271, +597, -709, -2174, -1110, +823, -992, +937, +143, -694, +584, -237, +52, +375, -217, -303, +162, -792, -361, +105, -252, +214, +381, +632, -19,
721  +9243, +9941, +4245, +657, -6939, -2976, +1760, +1792, +578, -304, -1653, -1098, +643, -655, +689, +159, -542, +528, -131, +56, +430, -13, -221, +210, -469, -319, +52, -319, +110, +335, +494, +43,
722  +7775, +9004, +4364, +1074, -5566, -2771, +1288, +1356, +632, -19, -1266, -996, +487, -456, +486, +214, -418, +456, -8, +91, +463, +193, -8, +266, -378, -438, -88, -360, -112, +272, +544, +30,
723  +6749, +8329, +4226, +1199, -4454, -2378, +954, +1109, +723, +141, -897, -819, +428, -339, +428, +308, -281, +463, +96, +331, +672, +327, +10, +166, -357, -510, -211, -393, -151, +319, +576, +31,
724  +5988, +7653, +4116, +1168, -3765, -2038, +743, +915, +737, +259, -623, -668, +285, -262, +442, +295, -206, +564, +342, +402, +543, +169, -105, +70, -443, -594, -251, -433, -272, +334, +502, -77,
725  +5467, +7250, +3847, +1019, -3110, -1692, +669, +871, +822, +369, -365, -484, +245, -133, +474, +473, +20, +567, +337, +288, +369, +117, -150, +13, -324, -594, -356, -414, -226, +271, +602, +138,
726  +5122, +6973, +3542, +803, -2565, -1389, +713, +947, +893, +463, -170, -291, +235, +82, +633, +446, -49, +345, +308, +240, +201, +133, -77, -9, -324, -573, -352, -476, -45, +494, +363, +16,
727  +4855, +6836, +3247, +531, -2098, -1103, +840, +1094, +882, +577, -75, -121, +401, +26, +454, +321, -151, +130, +276, +269, +118, +152, -61, -115, -199, -507, -538, -83, +76, +24, +184, +126,
728  +4686, +6807, +3020, +381, -1698, -797, +985, +1300, +880, +654, +193, -260, +327, -18, +295, +312, -217, +5, +244, +427, +89, +60, +69, +22, -305, -328, -97, -385, -172, +69, +91, +154,
729  +4632, +6769, +2880, +360, -1379, -630, +1032, +1346, +1008, +601, +155, -416, +54, +91, +208, +254, -266, -94, +300, +314, +94, +118, +154, -112, -59, +83, -557, -570, -137, +42, +28, +65,
730  +4540, +6825, +2991, +442, -1145, -666, +903, +1315, +922, +656, +103, -490, -32, -70, +234, +239, -193, -130, +219, +288, +5, +292, +9, +89, +428, -439, -684, -356, -314, -42, +168, -24,
731  +4565, +7043, +3133, +398, -1092, -628, +698, +1105, +781, +505, +302, -393, -208, -57, +80, +210, -27, -27, +131, +97, +164, +95, +10, +715, +96, -727, -439, -390, -341, +7, +168, -278,
732  +4628, +7376, +3330, +175, -1131, -632, +658, +1096, +468, +306, +276, -396, -10, -64, +41, +226, -104, +83, +212, +65, +61, -40, +256, +815, -181, -624, -368, -423, -196, +109, -11, -411,
733  +4617, +7799, +3588, -63, -1282, -806, +761, +1267, +342, +103, +9, -566, -109, +89, +288, +207, -102, +37, +103, +149, +142, -173, +222, +878, -329, -612, -244, -446, -47, +197, -164, -416,
734  +4660, +8175, +3965, -277, -1581, -952, +885, +1487, +358, +16, -136, -742, -411, +6, +351, +359, +99, +41, +67, +54, +185, -145, +158, +875, -393, -637, -194, -414, +89, +273, -162, -421,
735  +4721, +8663, +4296, -438, -1910, -1208, +1075, +1666, +396, -64, -205, -776, -575, -199, +234, +288, +60, +190, +260, +39, +105, -43, -107, +796, -78, -840, -343, -310, +149, +286, -89, -348,
736  +4872, +9194, +4729, -774, -2386, -1225, +1197, +1899, +429, -345, -152, -738, -728, -229, +85, +167, -114, +11, +383, +94, +153, +194, -391, +530, +269, -869, -518, -280, +55, +314, -13, -367,
737  +5066, +9823, +5271, -1107, -2955, -1313, +1335, +2152, +396, -624, -133, -598, -828, -241, +24, +42, -162, -203, +299, +184, -39, +336, -145, +68, +454, -442, -819, -503, +69, +300, -63, -319,
738  +5153, +10511, +6095, -1484, -3588, -1456, +1423, +2504, +356, -975, -219, -396, -876, -284, +78, -92, -239, -325, +171, +296, -163, +80, +60, -117, +343, +144, -711, -771, -136, +164, +7, -305,
739  +5279, +11273, +7005, -1898, -4346, -1576, +1570, +2874, +319, -1413, -325, -192, -896, -360, +145, -111, -363, -399, +61, +261, +19, -193, -117, -56, -9, +423, -34, -872, -482, +162, -138, -388,
740  +6056, +12428, +7017, -2743, -5015, -1595, +2092, +3133, -74, -1835, -369, -82, -887, -433, +159, -124, -505, -444, +1, +176, +57, -207, -371, -191, -116, +297, +399, -455, -738, -65, -85, -546,
741  +6550, +13417, +7566, -3351, -5854, -1576, +2466, +3359, -262, -2321, -480, +199, -992, -483, +233, -211, -561, -459, -82, +172, +17, -196, -387, -532, -129, +223, +460, +107, -612, -458, -73, -511,
742  +7012, +14309, +8271, -3829, -6828, -1561, +2860, +3523, -456, -2805, -697, +575, -1040, -702, +326, -213, -692, -488, -58, +49, +67, -318, -318, -681, -441, +323, +421, +317, -109, -624, -463, -340,
743  +8016, +15374, +8120, -4423, -7514, -1497, +3500, +3557, -967, -3143, -754, +778, -1014, -873, +371, -263, -697, -565, +8, +40, -65, -294, -389, -676, -607, +208, +557, +311, +173, -239, -863, -535,
744  +8871, +16239, +8063, -4588, -8132, -1638, +4115, +3491, -1344, -3391, -963, +994, -922, -1121, +393, -248, -762, -536, +34, +55, -184, -324, -431, -662, -593, -42, +629, +427, +134, +214, -755, -1041,
745  +9741, +17020, +7674, -4576, -8426, -2000, +4611, +3393, -1757, -3551, -1213, +1115, -851, -1378, +299, -217, -824, -499, +46, +51, -282, -489, -415, -741, -447, -171, +355, +641, +79, +272, -284, -1349,
746  +11312, +17790, +6362, -4799, -8173, -2096, +4973, +3237, -2301, -3658, -1190, +1112, -886, -1482, +185, -250, -754, -451, +117, +102, -439, -579, -427, -793, -304, +10, -28, +635, +235, +100, +114, -1241,
747  +13177, +18485, +4498, -4942, -7590, -1947, +5032, +3048, -2673, -3843, -991, +968, -867, -1596, +107, -286, -639, -361, +165, +232, -672, -529, -499, -772, -195, +286, -298, +389, +407, -34, +287, -927,
748  +15061, +19221, +2298, -5197, -6823, -1696, +4782, +2846, -2873, -4171, -778, +660, -800, -1706, -5, -268, -588, -254, +120, +358, -929, -400, -614, -747, -72, +413, -441, -8, +458, -76, +301, -594,
749  +17417, +19661, -218, -5533, -6027, -1097, +4358, +2666, -3090, -4449, -601, +308, -686, -1718, -14, -284, -463, -238, +124, +408, -1064, -243, -713, -651, +62, +367, -575, -268, +316, -31, +381, -321,
750  +19867, +19942, -2698, -5917, -5419, -356, +3943, +2529, -3315, -4768, -533, -59, -432, -1576, -30, -272, -359, -356, +203, +452, -1089, -118, -778, -495, +49, +184, -640, -440, +103, +121, +489, -151,
751  +22000, +20274, -4928, -6244, -5183, +422, +3657, +2387, -3535, -5191, -499, -408, +124, -1486, -39, -209, -489, -410, +327, +558, -1091, -6, -842, -510, -62, +53, -686, -527, +27, +247, +412, +120,
752  +23867, +20630, -6764, -6611, -5435, +1219, +3584, +2132, -3790, -5664, -426, -579, +849, -1544, +115, -346, -693, -253, +402, +737, -1086, +70, -1208, -570, -77, -89, -681, -321, -84, +142, +497, +304,
753  +25427, +20921, -8048, -7062, -6069, +1884, +3693, +1754, -4141, -5893, -210, -678, +1594, -1604, +126, -548, -678, -23, +392, +982, -1152, -266, -1531, -447, -207, -3, -478, -227, -288, +201, +484, +187,
754  +26670, +20956, -8821, -7361, -6968, +2286, +3959, +1161, -4414, -5482, -257, -597, +2261, -1827, +18, -485, -493, +96, +432, +895, -1493, -446, -1665, -450, +33, +175, -509, -150, -228, -15, +349, +351,
755  +27247, +21029, -9279, -7221, -8186, +2443, +4316, +433, -4111, -5058, -277, -461, +2624, -2135, +8, -68, -470, +172, -50, +659, -1495, -578, -1725, -94, +295, -26, -297, -74, -411, -173, +430, +303,
756  +27900, +20315, -8903, -7184, -9921, +2431, +4704, +385, -3980, -4367, -496, -493, +2857, -2265, +375, +207, -681, -337, -225, +556, -1409, -535, -1534, +66, +228, +14, -233, -136, -400, -267, +410, +268,
757  +27607, +19995, -8273, -6960, -11863, +2111, +5727, +206, -3669, -3625, -950, -750, +3372, -2159, +511, +126, -1428, -249, -334, +460, -1027, -385, -1566, +110, +211, -88, -105, -186, -370, -401, +501, +177,
758  +27622, +18453, -7307, -6733, -13561, +2585, +6218, +129, -3285, -2980, -1630, -393, +3761, -2468, +529, -441, -1518, +13, -480, +602, -588, -563, -1536, +165, +105, -89, -91, -163, -357, -425, +580, -7,
759  +26712, +17271, -6277, -6285, -14362, +2609, +6500, +415, -3110, -2459, -1751, -325, +3747, -2769, +192, -404, -1346, +67, -259, +700, -500, -685, -1381, +215, -122, -46, -21, -142, -291, -476, +628, -31,
760  +24769, +16230, -5111, -5257, -14397, +2104, +6670, +474, -2600, -1910, -2144, -355, +3491, -3153, +319, -229, -1416, +584, -304, +502, -383, -651, -1149, -88, -115, +8, -18, -89, -321, -449, +713, -173,
761  +22531, +14663, -3328, -4140, -13801, +1449, +6057, +1180, -2109, -1891, -2239, -499, +2901, -2827, +365, -277, -887, +650, -524, +392, -96, -669, -1178, -67, -149, -9, +23, -125, -229, -396, +626, -144,
762  +19895, +13154, -1419, -2898, -12707, +438, +5719, +1680, -2070, -1480, -2520, -641, +2754, -2677, +403, +34, -653, +479, -618, +548, -55, -828, -839, -119, -236, +37, -10, -61, -202, -414, +734, -50,
763  +15813, +10164, -3306, -1259, -4293, +3357, +1973, -2111, -1944, +200, +219, -308, +1352, -2193, +64, -117, -1126, +153, -436, +60, -137, -521, -663, +805, -86, +19, +120, -674, -64, -483, -254, +28,
764  +13540, +9962, -1922, -1329, -4062, +2676, +2356, -1429, -1777, +3, -53, -302, +1192, -1816, -26, +30, -863, +65, -256, +68, -137, -483, -700, +634, +28, +18, +255, -495, -126, -392, -252, -65,
765  +11634, +9561, -699, -1265, -3629, +2134, +2474, -898, -1471, -172, -210, -167, +1001, -1414, -33, +173, -616, +55, -78, +97, -92, -391, -629, +503, +182, +60, +264, -359, -148, -296, -278, -94,
766  +10116, +9195, +85, -1190, -3168, +1756, +2451, -457, -1159, -296, -215, -72, +824, -1068, +57, +267, -418, +80, +67, +164, -62, -236, -495, +399, +241, +62, +228, -255, -153, -255, -222, -97,
767  +8972, +8865, +505, -1212, -2723, +1474, +2315, -138, -916, -335, -184, -65, +679, -767, +131, +280, -267, +100, +140, +232, -22, -124, -428, +222, +224, +45, +106, -204, -143, -199, -220, -223,
768  +8143, +8550, +717, -1226, -2288, +1267, +2150, +132, -720, -286, -144, -49, +640, -554, +197, +300, -154, +119, +220, +280, -45, -61, -392, +43, +178, +16, +16, -111, -123, -218, -232, -196,
769  +7519, +8353, +812, -1237, -1913, +1117, +2025, +376, -587, -178, -1, -84, +685, -393, +217, +358, -60, +126, +213, +332, -84, -72, -329, -119, +124, +96, -34, -68, -117, -163, -197, -307,
770  +7138, +8193, +814, -1279, -1576, +1064, +1902, +541, -519, -85, +237, -175, +678, -205, +145, +407, -22, +33, +193, +347, -106, -168, -290, -132, +40, +147, -63, -81, -15, -226, -137, +56,
771  +6765, +8188, +868, -1293, -1277, +1051, +1806, +584, -405, -124, +486, -108, +449, +28, +127, +224, +67, +7, +73, +339, -51, -243, -320, +0, -67, +74, +55, -80, -93, +50, +86, -210,
772  +6619, +8107, +942, -1282, -1022, +1117, +1715, +528, -435, -63, +479, +47, +396, -99, +275, +103, -92, +116, +36, +186, -20, -104, -395, -86, -10, +55, +1, -128, +248, +155, -185, -146,
773  +6506, +8197, +996, -1294, -821, +1178, +1651, +459, -560, -146, +509, -44, +460, -45, +85, +200, -171, -75, +154, +145, -147, -20, -290, -290, -60, +165, -210, +91, +457, -145, -98, -174,
774  +6582, +8378, +972, -1387, -629, +1360, +1678, +371, -630, -289, +430, -31, +347, +59, +235, +84, -170, +9, -19, +188, -18, -105, -290, -206, -28, -83, -58, +442, +120, -133, +100, -328,
775  +6729, +8662, +933, -1675, -529, +1529, +1750, +352, -860, -415, +386, -244, +217, +58, +206, +210, -193, -125, +73, +64, -149, +23, -388, -231, +36, -212, +36, +433, -79, -64, +4, -312,
776  +6891, +9095, +950, -1986, -500, +1682, +1851, +373, -983, -585, +394, -308, -13, -44, +240, +173, -175, +14, +14, +51, -151, -125, -432, -103, +46, -279, +169, +405, -280, -72, +3, -309,
777  +7140, +9633, +936, -2394, -433, +1844, +1940, +403, -1165, -606, +441, -410, -140, -123, +140, +125, -224, -22, +162, +113, -243, -123, -493, -210, +171, -184, +103, +464, -305, -188, -101, -278,
778  +7579, +10153, +808, -2790, -377, +2061, +1958, +319, -1378, -620, +599, -484, -299, -248, +140, +31, -407, -65, +163, +117, -205, -114, -553, -215, +158, -225, +53, +587, -241, -398, -127, -310,
779  +8098, +10746, +572, -3255, -297, +2282, +1951, +145, -1630, -671, +779, -545, -492, -334, +56, -74, -517, -231, +85, +61, -318, -68, -487, -259, +155, -163, -275, +532, +118, -570, -295, -288,
780  +8856, +11416, +228, -3688, -131, +2625, +1937, -65, -1888, -582, +1023, -544, -642, -393, +130, -159, -647, -205, +40, -68, -349, -125, -337, -110, +114, -18, -391, +244, +381, -387, -478, -229,
781  +9699, +12034, -166, -4109, -4, +2965, +1853, -341, -2231, -485, +1256, -561, -825, -509, +157, -201, -806, -277, +86, -284, -419, -202, -354, +141, +75, -8, -343, -105, +372, -52, -654, -293,
782  +10543, +12775, -545, -4510, +87, +3328, +1796, -636, -2510, -451, +1566, -593, -960, -599, +156, -239, -879, -366, +153, -404, -550, -174, -435, +353, +148, -50, -279, -255, +87, +310, -515, -582,
783  +11200, +13601, -758, -4805, +51, +3618, +1817, -936, -2667, -529, +1865, -619, -1077, -658, +152, -290, -948, -411, +137, -381, -707, -102, -513, +487, +276, -91, -256, -301, -183, +365, -56, -808,
784  +11970, +14337, -1048, -4982, -71, +3819, +1800, -1224, -2823, -587, +2067, -657, -1227, -698, +129, -342, -1036, -477, +85, -363, -801, -49, -525, +479, +403, -110, -295, -362, -353, +170, +366, -705,
785  +12952, +14790, -1411, -4961, -192, +3874, +1746, -1433, -2954, -613, +2172, -717, -1346, -744, +115, -409, -1087, -567, +16, -356, -787, -59, -428, +439, +419, -85, -317, -480, -441, -15, +471, -306,
786  +13912, +15283, -1898, -4796, -288, +3733, +1713, -1566, -3031, -703, +2247, -785, -1394, -782, +55, -432, -1125, -661, -51, -311, -721, -96, -300, +422, +338, -39, -314, -612, -519, -71, +296, +100,
787  +14855, +15823, -2738, -4516, -305, +3389, +1721, -1674, -3103, -885, +2277, -894, -1325, -878, -28, -456, -1189, -726, -166, -184, -719, -109, -219, +375, +189, +34, -370, -698, -563, -131, +49, +307,
788  +16338, +16003, -4097, -3971, -183, +3015, +1641, -1812, -3218, -959, +2300, -1062, -1053, -1052, -10, -553, -1252, -711, -213, -61, -766, +9, -305, +359, +93, +64, -446, -677, -520, -329, -54, +380,
789  +18251, +15738, -5808, -3185, -135, +2789, +1385, -1959, -3407, -901, +2346, -1243, -701, -1229, +42, -723, -1269, -588, -226, -66, -699, +25, -533, +532, -57, +38, -378, -632, -576, -478, +14, +227,
790  +20108, +15232, -7463, -2359, -182, +2680, +993, -2135, -3628, -757, +2465, -1466, -282, -1397, +30, -889, -1150, -413, -456, +70, -740, -222, -483, +617, -261, +207, -289, -809, -541, -427, -149, +45,
791  +21818, +14565, -8920, -1528, -323, +2633, +590, -2360, -3741, -408, +2485, -1626, +257, -1681, +37, -834, -979, -443, -529, +77, -986, -154, -547, +693, -157, +334, -410, -839, -327, -606, -328, +75,
792  +23103, +13939, -10069, -743, -746, +2659, +301, -2677, -3587, -100, +2394, -1612, +709, -2069, +297, -672, -1108, -278, -883, +30, -908, -351, -497, +1045, -177, +252, -316, -804, -379, -726, -359, +57,
793  +23945, +13086, -10548, -173, -1474, +2865, +166, -2907, -3401, +227, +2202, -1525, +1022, -2203, +552, -677, -1107, -549, -996, +157, -1089, -304, -261, +1165, -310, +418, -308, -941, -344, -785, -396, +51,
794  +24255, +12118, -10245, -13, -2426, +3265, +310, -3204, -3183, +647, +1733, -1352, +1565, -2480, +734, -599, -1582, -399, -1019, +24, -846, -257, -242, +1202, -199, +374, -346, -1003, -311, -777, -466, +127,
795  +23709, +11520, -9531, -151, -3388, +3855, +550, -3483, -2789, +731, +1250, -841, +1752, -2633, +801, -862, -1583, -318, -1087, +206, -657, -373, -274, +1353, -271, +302, -334, -1032, -204, -865, -432, +235,
796  +22428, +11143, -8405, -496, -4041, +4230, +889, -3448, -2615, +728, +1070, -660, +1947, -2748, +486, -621, -1697, -171, -896, +282, -583, -459, -269, +1324, -316, +161, -148, -1048, -191, -833, -297, +216,
797  +20761, +10556, -6721, -940, -4366, +4259, +1328, -3270, -2442, +888, +519, -254, +1808, -2851, +481, -564, -1534, -32, -625, +157, -458, -456, -349, +1175, -358, +206, -68, -1025, -144, -651, -305, +204,
798  +18483, +10322, -5051, -1232, -4488, +3998, +1699, -2851, -2083, +521, +346, -174, +1484, -2533, +230, -316, -1365, +115, -496, +12, -245, -474, -558, +987, -219, +124, +13, -912, -46, -573, -264, +159,
799  +15151, +10407, -3905, -1083, -1883, +2118, +367, -2185, -1952, +542, +790, -175, +1158, -1491, +303, +11, -942, -141, -277, +14, -417, -305, -403, +619, -260, -27, +128, -617, -289, -452, -406, -109,
800  +12885, +10154, -2446, -1435, -1886, +1994, +819, -1625, -1685, +115, +676, -116, +950, -1122, +70, +152, -656, +7, -100, +33, -249, -339, -518, +467, -154, -64, +221, -437, -240, -376, -360, -167,
801  +11026, +9815, -1373, -1604, -1732, +1727, +1082, -1042, -1489, -153, +594, -120, +851, -783, -35, +259, -348, +25, +24, +163, -205, -275, -535, +286, -60, -104, +181, -299, -203, -314, -276, -258,
802  +9638, +9479, -718, -1704, -1525, +1463, +1205, -627, -1291, -289, +532, -105, +728, -476, -29, +265, -147, +9, +102, +238, -168, -228, -548, +99, -70, -181, +55, -160, -166, -274, -267, -318,
803  +8752, +9179, -333, -1745, -1266, +1296, +1255, -331, -1103, -308, +517, +6, +654, -256, +108, +218, -57, +66, +139, +248, -132, -162, -550, -73, -107, -216, +35, -13, -164, -279, -126, -282,
804  +8140, +9001, -85, -1784, -995, +1204, +1247, -134, -1072, -291, +536, +70, +685, -204, +206, +280, -165, +40, +195, +187, -211, -72, -529, -292, -102, -127, -36, -76, -58, -138, -270, -89,
805  +7821, +8936, +29, -1810, -714, +1265, +1138, -40, -1096, -420, +649, +5, +642, -11, +138, +306, -111, -183, +147, +285, -330, -213, -387, -248, -250, -102, -97, -86, +22, -265, +130, +187,
806  +7807, +9028, -50, -1866, -441, +1451, +1138, -195, -1118, -490, +518, +2, +517, +35, +307, +254, -153, -103, +7, +126, -244, -245, -496, -140, -99, -332, -144, +49, -205, +61, +387, -266,
807  +7883, +9354, -84, -2058, -175, +1671, +1191, -268, -1313, -554, +542, -204, +353, +81, +268, +401, -95, -139, +119, +41, -495, -190, -362, -215, -155, -154, -74, -308, -29, +393, -17, -331,
808  +8309, +9731, -294, -2293, +42, +1934, +1203, -363, -1445, -664, +574, -270, +131, -85, +298, +391, -163, +29, +228, -28, -529, -302, -516, -77, -71, -224, -65, -236, +37, +234, -157, -305,
809  +8910, +10272, -662, -2606, +320, +2118, +1145, -521, -1640, -652, +647, -370, -95, -197, +260, +249, -276, +1, +311, +7, -540, -340, -597, -115, -162, -109, -41, -330, +23, +288, -224, -561,
810  +9705, +10883, -1159, -2876, +618, +2308, +939, -735, -1827, -569, +847, -551, -252, -350, +282, +190, -540, -53, +297, -89, -533, -247, -636, +1, -229, -304, +0, -239, -164, +169, +30, -627,
811  +10729, +11542, -1791, -3053, +931, +2475, +682, -1055, -1976, -419, +1145, -742, -457, -399, +293, +130, -657, -195, +215, -136, -668, -129, -569, +112, -117, -431, -109, -273, -261, +33, +231, -480,
812  +11880, +12255, -2434, -3089, +1163, +2572, +450, -1357, -2085, -232, +1467, -892, -621, -438, +381, +30, -732, -214, +65, -162, -709, -100, -437, +212, -28, -368, -165, -380, -411, -90, +291, -64,
813  +13138, +12910, -3157, -3037, +1198, +2492, +221, -1627, -2212, -103, +1693, -1094, -727, -513, +408, -69, -857, -306, -36, -187, -773, -78, -367, +223, -33, -259, -244, -476, -574, -270, +164, +260,
814  +14397, +13579, -3910, -2827, +1090, +2265, +96, -1784, -2287, -52, +1872, -1249, -736, -567, +401, -118, -956, -410, -92, -132, -795, +4, -347, +213, -84, -122, -283, -544, -622, -487, +74, +387,
815  +15830, +13982, -4898, -2472, +856, +1874, -58, -1916, -2412, -69, +1931, -1394, -672, -679, +358, -219, -1064, -512, -131, -146, -801, +55, -460, +223, -217, -78, -273, -623, -663, -737, +48, +327,
816  +17467, +14082, -6145, -1897, +641, +1483, -284, -1985, -2544, -62, +2082, -1574, -443, -758, +315, -348, -1052, -474, -316, -34, -792, -77, -456, +264, -381, +42, -169, -787, -651, -765, -87, +204,
817  +19204, +13692, -7428, -1120, +469, +1144, -634, -1991, -2737, +205, +2197, -1785, +24, -916, +275, -357, -852, -637, -399, +114, -1061, -13, -468, +245, -296, +208, -219, -909, -451, -819, -365, +209,
818  +20434, +13223, -8548, -342, +182, +828, -924, -2160, -2725, +468, +2161, -1789, +445, -1242, +435, -205, -999, -575, -649, -4, -1029, -158, -482, +542, -293, +181, -169, -874, -514, -927, -442, +127,
819  +21071, +12403, -8865, +245, -318, +823, -1130, -2243, -2635, +724, +2101, -1684, +725, -1293, +626, -269, -883, -830, -829, +105, -1203, -105, -238, +653, -371, +371, -143, -1016, -532, -886, -493, +33,
820  +20789, +11662, -8363, +332, -911, +1138, -984, -2430, -2493, +1026, +1715, -1379, +1228, -1581, +803, -170, -1256, -633, -926, +9, -905, -125, -208, +782, -256, +313, -208, -993, -501, -825, -526, -5,
821  +19596, +11016, -7150, -54, -1442, +1677, -696, -2554, -2277, +940, +1405, -817, +1246, -1536, +683, -288, -1142, -645, -762, +96, -739, -256, -171, +923, -379, +209, -146, -915, -439, -791, -471, +64,
822  +17572, +10705, -5607, -659, -1779, +2017, -199, -2475, -2231, +834, +1110, -554, +1413, -1693, +462, -69, -1229, -319, -565, +61, -598, -344, -187, +729, -361, +89, -38, -790, -417, -617, -384, -60,
823  +13984, +10256, -4374, -387, +520, +1170, -465, -1651, -1737, +620, +1299, -598, +593, -692, +507, -106, -759, -500, -601, +13, -482, -134, -166, +603, -169, +64, -79, -688, -462, -543, -415, -231,
824  +12758, +10312, -3687, -1357, +269, +1735, +98, -1444, -1892, +26, +1171, -327, +678, -523, +452, +210, -645, -277, -231, -18, -408, -233, -377, +567, -155, -104, +72, -516, -401, -434, -355, -174,
825  +11716, +10426, -3021, -2050, -38, +1840, +528, -1068, -1835, -336, +989, -214, +710, -348, +420, +365, -440, -231, -16, +39, -429, -185, -574, +332, -35, -237, +26, -307, -370, -373, -221, -235,
826  +11134, +10529, -2662, -2372, -80, +1872, +687, -929, -1758, -466, +868, -263, +670, -278, +447, +463, -382, -147, +37, -28, -515, -135, -648, +44, +50, -206, -64, -271, -287, -346, -196, -161,
827  +11076, +10636, -2726, -2397, +319, +2006, +654, -1075, -1802, -427, +898, -371, +393, -170, +406, +444, -274, -100, +119, -97, -686, -259, -554, +17, -61, -105, -68, -278, -240, -444, -157, +31,
828  +11612, +10554, -3129, -2035, +925, +2135, +343, -1322, -1834, -253, +981, -508, +127, -339, +524, +263, -428, +146, +113, -216, -691, -403, -615, +161, -3, -171, -98, -195, -334, -500, -145, +70,
829  +12375, +10683, -3543, -1496, +1375, +1878, -63, -1524, -1717, +100, +1163, -755, -161, -335, +443, +21, -544, +0, +88, -275, -693, -316, -565, +159, -85, -8, -150, -333, -390, -555, -137, +51,
830  +13451, +11029, -4018, -1046, +1272, +1286, -363, -1499, -1496, +592, +1316, -1108, -273, -352, +296, -275, -635, -344, -118, -175, -740, -127, -424, +105, -164, +113, -179, -568, -399, -627, -271, +78,
831  +14734, +11620, -4801, -879, +695, +632, -389, -1350, -1318, +1007, +1424, -1500, -74, -505, -4, -282, -945, -711, -166, -124, -792, +39, -391, +77, -83, +118, -326, -662, -381, -867, -393, +164,
832  +15985, +11630, -5516, -532, +203, +208, -354, -1214, -1189, +1341, +1442, -1615, +268, -744, -62, -254, -1183, -868, -259, -11, -770, +72, -261, +154, +24, +109, -377, -617, -514, -967, -389, +157,
833  +16167, +11377, -5735, -169, +103, +84, -542, -1299, -1254, +1362, +1544, -1556, +422, -670, -103, -248, -1015, -1157, -377, +88, -926, +197, -106, +201, +13, +190, -354, -777, -517, -923, -458, +58,
834  +15468, +10670, -5248, +0, +346, +442, -693, -1493, -1502, +1200, +1468, -1209, +625, -745, +218, -158, -964, -895, -623, +11, -688, +93, -44, +335, -4, +183, -327, -757, -508, -710, -494, -108,
835  +11864, +10338, -3078, -621, +1333, +599, -268, -1143, -1003, +1077, +1244, -764, -17, -195, +147, -60, -510, -758, -332, -70, -719, -16, -15, +316, +287, +250, -355, -886, -747, -549, -54, +215,
836 };
837 
838 /* HRIR Delays */
839 static const ALubyte defaultDelays[828] =
840 {
841  12, 12, 13, 14, 14, 14, 13, 12, 11, 10, 10, 10, 11, 12, 13, 14, 15, 15, 16, 16, 16, 15, 15, 14, 13, 12, 11, 10, 9, 8, 8, 8, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 18, 18, 18, 18, 17, 16, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 6, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 22, 22, 22, 22, 21, 21, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 24, 24, 24, 24, 24, 23, 22, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 26, 26, 26, 26, 25, 24, 24, 23, 22, 21, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 28, 28, 27, 26, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 28, 28, 27, 26, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 26, 26, 26, 26, 25, 24, 24, 23, 22, 21, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 24, 24, 24, 24, 24, 23, 22, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 22, 22, 22, 22, 21, 21, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 18, 18, 18, 18, 17, 16, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 6, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 16, 16, 15, 15, 14, 13, 12, 11, 10, 9, 8, 8, 8, 8, 8, 9, 10, 11, 12, 13, 14, 14, 14, 13, 12, 11, 10, 10, 10, 11, 12,
842 };
843 
844 /* Default HRTF Definition */
845 static const struct Hrtf DefaultHrtf = {
846  44100, 32, 19, defaultAzCount, defaultEvOffset,
847  defaultCoeffs, defaultDelays, NULL
848 };
unsigned char ALubyte
Definition: al.h:47
#define NULL
Definition: ftobjs.h:61
short ALshort
Definition: al.h:50
unsigned short ALushort
Definition: al.h:53