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pub const SMALL_PRIME_PI: [u8; 1619] = [
0, 0, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6,
7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11,
11, 11, 11, 12, 12, 12, 12, 13, 13, 14, 14, 14, 14, 15, 15,
15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 18, 18, 18, 18, 18,
18, 19, 19, 19, 19, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22,
22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24,
25, 25, 25, 25, 26, 26, 27, 27, 27, 27, 28, 28, 29, 29,
29, 29, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 31, 31,
31, 31, 32, 32, 32, 32, 32, 32, 33, 33, 34, 34, 34, 34, 34, 34,
34, 34, 34, 34, 35, 35, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37,
37, 37, 38, 38, 38, 38, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40,
40, 40, 41, 41, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 43, 43,
44, 44, 44, 44, 45, 45, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46,
46, 46, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 48, 48, 48, 48,
49, 49, 50, 50, 50, 50, 51, 51, 51, 51, 51, 51, 52, 52,
53, 53, 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 54,
55, 55, 55, 55, 55, 55, 56, 56, 56, 56, 56, 56, 57, 57, 58, 58,
58, 58, 58, 58, 59, 59, 59, 59, 60, 60, 61, 61, 61, 61, 61, 61,
61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62, 62,
63, 63, 63, 63, 64, 64, 65, 65, 65, 65, 66, 66, 66, 66,
66, 66, 66, 66, 66, 66, 66, 66, 66, 66, 67, 67, 67, 67, 67, 67, 68, 68,
68, 68, 68, 68, 68, 68, 68, 68, 69, 69, 70, 70, 70, 70, 71, 71,
71, 71, 71, 71, 72, 72, 72, 72, 72, 72, 72, 72, 73, 73, 73, 73, 73, 73,
74, 74, 74, 74, 74, 74, 75, 75, 75, 75, 76, 76, 76, 76, 76, 76,
77, 77, 77, 77, 77, 77, 77, 77, 78, 78, 78, 78, 79, 79, 79, 79,
79, 79, 79, 79, 80, 80, 80, 80, 80, 80, 80, 80, 80, 80, 81, 81,
82, 82, 82, 82, 82, 82, 82, 82, 82, 82, 83, 83, 84, 84, 84, 84, 84, 84,
85, 85, 85, 85, 86, 86, 86, 86, 86, 86, 87, 87, 87, 87, 87, 87,
87, 87, 88, 88, 88, 88, 89, 89, 90, 90, 90, 90, 91, 91,
91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 92, 92, 92, 92, 92, 92, 92, 92,
93, 93, 93, 93, 94, 94, 94, 94, 94, 94, 94, 94, 95, 95, 95, 95,
96, 96, 96, 96, 96, 96, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97,
98, 98, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99, 99,
99, 99, 100, 100, 100, 100, 100, 100, 101, 101, 101, 101, 101, 101,
101, 101, 101, 101, 102, 102, 102, 102, 102, 102, 103, 103, 103, 103,
103, 103, 104, 104, 105, 105, 105, 105, 105, 105, 106, 106, 106,
106, 106, 106, 106, 106, 106, 106, 107, 107, 107, 107, 107, 107, 108,
108, 108, 108, 108, 108, 109, 109, 110, 110, 110, 110, 110, 110,
111, 111, 111, 111, 111, 111, 112, 112, 112, 112, 113, 113,
114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 115, 115,
115, 115, 115, 115, 115, 115, 115, 115, 116, 116, 117, 117, 117, 117,
118, 118, 118, 118, 118, 118, 119, 119, 119, 119, 119, 119,
120, 120, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121,
122, 122, 122, 122, 123, 123, 123, 123, 123, 123, 124, 124, 124, 124,
124, 124, 124, 124, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125,
126, 126, 126, 126, 126, 126, 126, 126, 127, 127, 127, 127, 127, 127, 127,
127, 127, 127, 128, 128, 128, 128, 128, 128, 128, 128, 129, 129, 129,
129, 129, 129, 130, 130, 130, 130, 130, 130, 131, 131, 131, 131,
132, 132, 132, 132, 132, 132, 132, 132, 133, 133, 133, 133, 133, 133,
134, 134, 134, 134, 135, 135, 135, 135, 135, 135, 135, 135,
136, 136, 136, 136, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137,
137, 137, 137, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 139,
139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 139, 140, 140, 141,
141, 141, 141, 141, 141, 141, 141, 141, 141, 142, 142, 143, 143, 143,
143, 144, 144, 145, 145, 145, 145, 145, 145, 145, 145, 145, 145,
146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146,
147, 147, 147, 147, 148, 148, 149, 149, 149, 149, 150, 150, 150,
150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 150, 151, 151, 151, 151,
152, 152, 153, 153, 153, 153, 154, 154, 154, 154, 154, 154, 154,
154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 154, 155, 155,
155, 155, 156, 156, 156, 156, 156, 156, 156, 156, 157, 157, 157, 157,
157, 157, 157, 157, 157, 157, 158, 158, 158, 158, 158, 158, 158, 158,
159, 159, 159, 159, 160, 160, 160, 160, 160, 160, 161, 161, 161, 161,
161, 161, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162,
162, 163, 163, 163, 163, 164, 164, 164, 164, 164, 164, 165, 165,
165, 165, 165, 165, 166, 166, 166, 166, 166, 166, 166, 166, 167, 167,
167, 167, 167, 167, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168, 168,
168, 169, 169, 169, 169, 170, 170, 170, 170, 170, 170, 171,
171, 172, 172, 172, 172, 172, 172, 172, 172, 172, 172, 173, 173,
174, 174, 174, 174, 174, 174, 175, 175, 175, 175, 175, 175, 175, 175,
175, 175, 176, 176, 177, 177, 177, 177, 177, 177, 177, 177, 177, 177,
178, 178, 179, 179, 179, 179, 179, 179, 180, 180, 180, 180,
180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 180, 181,
181, 181, 181, 182, 182, 183, 183, 183, 183, 184, 184, 184,
184, 184, 184, 185, 185, 185, 185, 185, 185, 186, 186, 186, 186, 186,
186, 186, 186, 187, 187, 187, 187, 187, 187, 188, 188, 188, 188, 188,
188, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189, 189,
189, 189, 189, 189, 189, 189, 189, 189, 190, 190, 191, 191, 191, 191,
191, 191, 191, 191, 191, 191, 192, 192, 192, 192, 192, 192, 192, 192,
193, 193, 193, 193, 193, 193, 193, 193, 193, 193, 194, 194, 194, 194,
194, 194, 195, 195, 195, 195, 195, 195, 196, 196, 196, 196, 196, 196,
196, 196, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197, 197,
198, 198, 198, 198, 199, 199, 199, 199, 199, 199, 200, 200,
200, 200, 200, 200, 201, 201, 202, 202, 202, 202, 202, 202,
203, 203, 203, 203, 203, 203, 203, 203, 203, 203, 203, 203, 204, 204, 204,
204, 204, 204, 204, 204, 204, 204, 205, 205, 205, 205, 205, 205, 205, 205,
205, 205, 205, 205, 205, 205, 205, 205, 205, 205, 206, 206, 207, 207,
207, 207, 208, 208, 208, 208, 208, 208, 209, 209, 210, 210,
210, 210, 210, 210, 211, 211, 211, 211, 212, 212, 213, 213,
213, 213, 214, 214, 214, 214, 214, 214, 214, 214, 214, 214, 214, 214,
215, 215, 216, 216, 216, 216, 216, 216, 217, 217, 217, 217,
217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217,
217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 217, 218, 218,
218, 218, 218, 218, 219, 219, 219, 219, 219, 219, 220, 220, 220, 220,
220, 220, 220, 220, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221,
221, 221, 221, 221, 221, 221, 221, 222, 222, 222, 222, 222, 222, 222, 222,
222, 222, 223, 223, 223, 223, 223, 223, 223, 223, 223, 223, 223, 223, 223,
223, 224, 224, 224, 224, 225, 225, 226, 226, 226, 226,
227, 227, 227, 227, 227, 227, 228, 228, 228, 228, 228, 228, 228, 228,
229, 229, 229, 229, 230, 230, 231, 231, 231, 231, 231, 231,
232, 232, 232, 232, 232, 232, 232, 232, 232, 232, 232, 232, 233, 233,
233, 233, 233, 233, 233, 233, 233, 233, 234, 234, 235, 235, 235, 235,
236, 236, 237, 237, 237, 237, 238, 238, 238, 238, 238, 238,
239, 239, 239, 239, 239, 239, 239, 239, 239, 239, 239, 239, 240, 240,
240, 240, 240, 240, 240, 240, 240, 240, 240, 240, 241, 241, 241, 241, 241,
241, 241, 241, 242, 242, 242, 242, 242, 242, 242, 242, 242, 242, 242, 242,
243, 243, 243, 243, 243, 243, 244, 244, 244, 244, 245, 245,
245, 245, 245, 245, 246, 246, 246, 246, 246, 246, 246, 246, 247, 247,
247, 247, 248, 248, 248, 248, 248, 248, 248, 248, 249, 249, 249, 249,
250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250, 250,
251, 251, 251, 251, 252, 252, 252, 252, 252, 252, 253, 253,
254, 254, 254, 254, 255, 255, 255, 255, 255, 255,];
pub const SMALL_PRIME_LIMIT: usize = 255;
pub const SMALL_PRIMES: [u8; 54] = [
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79,
83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167,
173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251,];