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ysbaddadenMartin Verzilli
authored and
Martin Verzilli
committedJan 20, 2017
Increase Crypto::Bcrypt performance
Optimizes the Blowfish and Bcrypt algorithms by using stack allocated objects (StaticArray) instead of a HEAP allocation (Array), and raw pointer accesses. The implementation is still not on par with alternative C implementations (e.g. as used by the Ruby extension).
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4 files changed

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‎spec/std/crypto/blowfish_spec.cr

+34-34
Original file line numberDiff line numberDiff line change
@@ -3,40 +3,40 @@ require "crypto/blowfish"
33

44
describe "Crypto::Blowfish" do
55
vectors = [
6-
{UInt8[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00], Int32[0x00000000, 0x00000000], Int32[0x4EF99745, 0x6198DD78]},
7-
{UInt8[0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF], Int32[0xFFFFFFFF, 0xFFFFFFFF], Int32[0x51866FD5, 0xB85ECB8A]},
8-
{UInt8[0x30, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00], Int32[0x10000000, 0x00000001], Int32[0x7D856F9A, 0x613063F2]},
9-
{UInt8[0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11], Int32[0x11111111, 0x11111111], Int32[0x2466DD87, 0x8B963C9D]},
10-
{UInt8[0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF], Int32[0x11111111, 0x11111111], Int32[0x61F9C380, 0x2281B096]},
11-
{UInt8[0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11], Int32[0x01234567, 0x89ABCDEF], Int32[0x7D0CC630, 0xAFDA1EC7]},
12-
{UInt8[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00], Int32[0x00000000, 0x00000000], Int32[0x4EF99745, 0x6198DD78]},
13-
{UInt8[0xFE, 0xDC, 0xBA, 0x98, 0x76, 0x54, 0x32, 0x10], Int32[0x01234567, 0x89ABCDEF], Int32[0x0ACEAB0F, 0xC6A0A28D]},
14-
{UInt8[0x7C, 0xA1, 0x10, 0x45, 0x4A, 0x1A, 0x6E, 0x57], Int32[0x01A1D6D0, 0x39776742], Int32[0x59C68245, 0xEB05282B]},
15-
{UInt8[0x01, 0x31, 0xD9, 0x61, 0x9D, 0xC1, 0x37, 0x6E], Int32[0x5CD54CA8, 0x3DEF57DA], Int32[0xB1B8CC0B, 0x250F09A0]},
16-
{UInt8[0x07, 0xA1, 0x13, 0x3E, 0x4A, 0x0B, 0x26, 0x86], Int32[0x0248D438, 0x06F67172], Int32[0x1730E577, 0x8BEA1DA4]},
17-
{UInt8[0x38, 0x49, 0x67, 0x4C, 0x26, 0x02, 0x31, 0x9E], Int32[0x51454B58, 0x2DDF440A], Int32[0xA25E7856, 0xCF2651EB]},
18-
{UInt8[0x04, 0xB9, 0x15, 0xBA, 0x43, 0xFE, 0xB5, 0xB6], Int32[0x42FD4430, 0x59577FA2], Int32[0x353882B1, 0x09CE8F1A]},
19-
{UInt8[0x01, 0x13, 0xB9, 0x70, 0xFD, 0x34, 0xF2, 0xCE], Int32[0x059B5E08, 0x51CF143A], Int32[0x48F4D088, 0x4C379918]},
20-
{UInt8[0x01, 0x70, 0xF1, 0x75, 0x46, 0x8F, 0xB5, 0xE6], Int32[0x0756D8E0, 0x774761D2], Int32[0x432193B7, 0x8951FC98]},
21-
{UInt8[0x43, 0x29, 0x7F, 0xAD, 0x38, 0xE3, 0x73, 0xFE], Int32[0x762514B8, 0x29BF486A], Int32[0x13F04154, 0xD69D1AE5]},
22-
{UInt8[0x07, 0xA7, 0x13, 0x70, 0x45, 0xDA, 0x2A, 0x16], Int32[0x3BDD1190, 0x49372802], Int32[0x2EEDDA93, 0xFFD39C79]},
23-
{UInt8[0x04, 0x68, 0x91, 0x04, 0xC2, 0xFD, 0x3B, 0x2F], Int32[0x26955F68, 0x35AF609A], Int32[0xD887E039, 0x3C2DA6E3]},
24-
{UInt8[0x37, 0xD0, 0x6B, 0xB5, 0x16, 0xCB, 0x75, 0x46], Int32[0x164D5E40, 0x4F275232], Int32[0x5F99D04F, 0x5B163969]},
25-
{UInt8[0x1F, 0x08, 0x26, 0x0D, 0x1A, 0xC2, 0x46, 0x5E], Int32[0x6B056E18, 0x759F5CCA], Int32[0x4A057A3B, 0x24D3977B]},
26-
{UInt8[0x58, 0x40, 0x23, 0x64, 0x1A, 0xBA, 0x61, 0x76], Int32[0x004BD6EF, 0x09176062], Int32[0x452031C1, 0xE4FADA8E]},
27-
{UInt8[0x02, 0x58, 0x16, 0x16, 0x46, 0x29, 0xB0, 0x07], Int32[0x480D3900, 0x6EE762F2], Int32[0x7555AE39, 0xF59B87BD]},
28-
{UInt8[0x49, 0x79, 0x3E, 0xBC, 0x79, 0xB3, 0x25, 0x8F], Int32[0x437540C8, 0x698F3CFA], Int32[0x53C55F9C, 0xB49FC019]},
29-
{UInt8[0x4F, 0xB0, 0x5E, 0x15, 0x15, 0xAB, 0x73, 0xA7], Int32[0x072D43A0, 0x77075292], Int32[0x7A8E7BFA, 0x937E89A3]},
30-
{UInt8[0x49, 0xE9, 0x5D, 0x6D, 0x4C, 0xA2, 0x29, 0xBF], Int32[0x02FE5577, 0x8117F12A], Int32[0xCF9C5D7A, 0x4986ADB5]},
31-
{UInt8[0x01, 0x83, 0x10, 0xDC, 0x40, 0x9B, 0x26, 0xD6], Int32[0x1D9D5C50, 0x18F728C2], Int32[0xD1ABB290, 0x658BC778]},
32-
{UInt8[0x1C, 0x58, 0x7F, 0x1C, 0x13, 0x92, 0x4F, 0xEF], Int32[0x30553228, 0x6D6F295A], Int32[0x55CB3774, 0xD13EF201]},
33-
{UInt8[0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01], Int32[0x01234567, 0x89ABCDEF], Int32[0xFA34EC48, 0x47B268B2]},
34-
{UInt8[0x1F, 0x1F, 0x1F, 0x1F, 0x0E, 0x0E, 0x0E, 0x0E], Int32[0x01234567, 0x89ABCDEF], Int32[0xA7907951, 0x08EA3CAE]},
35-
{UInt8[0xE0, 0xFE, 0xE0, 0xFE, 0xF1, 0xFE, 0xF1, 0xFE], Int32[0x01234567, 0x89ABCDEF], Int32[0xC39E072D, 0x9FAC631D]},
36-
{UInt8[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00], Int32[0xFFFFFFFF, 0xFFFFFFFF], Int32[0x014933E0, 0xCDAFF6E4]},
37-
{UInt8[0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF], Int32[0x00000000, 0x00000000], Int32[0xF21E9A77, 0xB71C49BC]},
38-
{UInt8[0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF], Int32[0x00000000, 0x00000000], Int32[0x24594688, 0x5754369A]},
39-
{UInt8[0xFE, 0xDC, 0xBA, 0x98, 0x76, 0x54, 0x32, 0x10], Int32[0xFFFFFFFF, 0xFFFFFFFF], Int32[0x6B5C5A9C, 0x5D9E0A5A]},
6+
{UInt8[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00], UInt32[0x00000000, 0x00000000], UInt32[0x4EF99745, 0x6198DD78]},
7+
{UInt8[0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF], UInt32[0xFFFFFFFF, 0xFFFFFFFF], UInt32[0x51866FD5, 0xB85ECB8A]},
8+
{UInt8[0x30, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00], UInt32[0x10000000, 0x00000001], UInt32[0x7D856F9A, 0x613063F2]},
9+
{UInt8[0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11], UInt32[0x11111111, 0x11111111], UInt32[0x2466DD87, 0x8B963C9D]},
10+
{UInt8[0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF], UInt32[0x11111111, 0x11111111], UInt32[0x61F9C380, 0x2281B096]},
11+
{UInt8[0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11, 0x11], UInt32[0x01234567, 0x89ABCDEF], UInt32[0x7D0CC630, 0xAFDA1EC7]},
12+
{UInt8[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00], UInt32[0x00000000, 0x00000000], UInt32[0x4EF99745, 0x6198DD78]},
13+
{UInt8[0xFE, 0xDC, 0xBA, 0x98, 0x76, 0x54, 0x32, 0x10], UInt32[0x01234567, 0x89ABCDEF], UInt32[0x0ACEAB0F, 0xC6A0A28D]},
14+
{UInt8[0x7C, 0xA1, 0x10, 0x45, 0x4A, 0x1A, 0x6E, 0x57], UInt32[0x01A1D6D0, 0x39776742], UInt32[0x59C68245, 0xEB05282B]},
15+
{UInt8[0x01, 0x31, 0xD9, 0x61, 0x9D, 0xC1, 0x37, 0x6E], UInt32[0x5CD54CA8, 0x3DEF57DA], UInt32[0xB1B8CC0B, 0x250F09A0]},
16+
{UInt8[0x07, 0xA1, 0x13, 0x3E, 0x4A, 0x0B, 0x26, 0x86], UInt32[0x0248D438, 0x06F67172], UInt32[0x1730E577, 0x8BEA1DA4]},
17+
{UInt8[0x38, 0x49, 0x67, 0x4C, 0x26, 0x02, 0x31, 0x9E], UInt32[0x51454B58, 0x2DDF440A], UInt32[0xA25E7856, 0xCF2651EB]},
18+
{UInt8[0x04, 0xB9, 0x15, 0xBA, 0x43, 0xFE, 0xB5, 0xB6], UInt32[0x42FD4430, 0x59577FA2], UInt32[0x353882B1, 0x09CE8F1A]},
19+
{UInt8[0x01, 0x13, 0xB9, 0x70, 0xFD, 0x34, 0xF2, 0xCE], UInt32[0x059B5E08, 0x51CF143A], UInt32[0x48F4D088, 0x4C379918]},
20+
{UInt8[0x01, 0x70, 0xF1, 0x75, 0x46, 0x8F, 0xB5, 0xE6], UInt32[0x0756D8E0, 0x774761D2], UInt32[0x432193B7, 0x8951FC98]},
21+
{UInt8[0x43, 0x29, 0x7F, 0xAD, 0x38, 0xE3, 0x73, 0xFE], UInt32[0x762514B8, 0x29BF486A], UInt32[0x13F04154, 0xD69D1AE5]},
22+
{UInt8[0x07, 0xA7, 0x13, 0x70, 0x45, 0xDA, 0x2A, 0x16], UInt32[0x3BDD1190, 0x49372802], UInt32[0x2EEDDA93, 0xFFD39C79]},
23+
{UInt8[0x04, 0x68, 0x91, 0x04, 0xC2, 0xFD, 0x3B, 0x2F], UInt32[0x26955F68, 0x35AF609A], UInt32[0xD887E039, 0x3C2DA6E3]},
24+
{UInt8[0x37, 0xD0, 0x6B, 0xB5, 0x16, 0xCB, 0x75, 0x46], UInt32[0x164D5E40, 0x4F275232], UInt32[0x5F99D04F, 0x5B163969]},
25+
{UInt8[0x1F, 0x08, 0x26, 0x0D, 0x1A, 0xC2, 0x46, 0x5E], UInt32[0x6B056E18, 0x759F5CCA], UInt32[0x4A057A3B, 0x24D3977B]},
26+
{UInt8[0x58, 0x40, 0x23, 0x64, 0x1A, 0xBA, 0x61, 0x76], UInt32[0x004BD6EF, 0x09176062], UInt32[0x452031C1, 0xE4FADA8E]},
27+
{UInt8[0x02, 0x58, 0x16, 0x16, 0x46, 0x29, 0xB0, 0x07], UInt32[0x480D3900, 0x6EE762F2], UInt32[0x7555AE39, 0xF59B87BD]},
28+
{UInt8[0x49, 0x79, 0x3E, 0xBC, 0x79, 0xB3, 0x25, 0x8F], UInt32[0x437540C8, 0x698F3CFA], UInt32[0x53C55F9C, 0xB49FC019]},
29+
{UInt8[0x4F, 0xB0, 0x5E, 0x15, 0x15, 0xAB, 0x73, 0xA7], UInt32[0x072D43A0, 0x77075292], UInt32[0x7A8E7BFA, 0x937E89A3]},
30+
{UInt8[0x49, 0xE9, 0x5D, 0x6D, 0x4C, 0xA2, 0x29, 0xBF], UInt32[0x02FE5577, 0x8117F12A], UInt32[0xCF9C5D7A, 0x4986ADB5]},
31+
{UInt8[0x01, 0x83, 0x10, 0xDC, 0x40, 0x9B, 0x26, 0xD6], UInt32[0x1D9D5C50, 0x18F728C2], UInt32[0xD1ABB290, 0x658BC778]},
32+
{UInt8[0x1C, 0x58, 0x7F, 0x1C, 0x13, 0x92, 0x4F, 0xEF], UInt32[0x30553228, 0x6D6F295A], UInt32[0x55CB3774, 0xD13EF201]},
33+
{UInt8[0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01, 0x01], UInt32[0x01234567, 0x89ABCDEF], UInt32[0xFA34EC48, 0x47B268B2]},
34+
{UInt8[0x1F, 0x1F, 0x1F, 0x1F, 0x0E, 0x0E, 0x0E, 0x0E], UInt32[0x01234567, 0x89ABCDEF], UInt32[0xA7907951, 0x08EA3CAE]},
35+
{UInt8[0xE0, 0xFE, 0xE0, 0xFE, 0xF1, 0xFE, 0xF1, 0xFE], UInt32[0x01234567, 0x89ABCDEF], UInt32[0xC39E072D, 0x9FAC631D]},
36+
{UInt8[0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00], UInt32[0xFFFFFFFF, 0xFFFFFFFF], UInt32[0x014933E0, 0xCDAFF6E4]},
37+
{UInt8[0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF], UInt32[0x00000000, 0x00000000], UInt32[0xF21E9A77, 0xB71C49BC]},
38+
{UInt8[0x01, 0x23, 0x45, 0x67, 0x89, 0xAB, 0xCD, 0xEF], UInt32[0x00000000, 0x00000000], UInt32[0x24594688, 0x5754369A]},
39+
{UInt8[0xFE, 0xDC, 0xBA, 0x98, 0x76, 0x54, 0x32, 0x10], UInt32[0xFFFFFFFF, 0xFFFFFFFF], UInt32[0x6B5C5A9C, 0x5D9E0A5A]},
4040
]
4141

4242
it "encrypt and decrypt pair" do

‎src/crypto/bcrypt.cr

+6-6
Original file line numberDiff line numberDiff line change
@@ -37,10 +37,10 @@ class Crypto::Bcrypt
3737
private DIGEST_SIZE = 31
3838

3939
# bcrypt IV: "OrpheanBeholderScryDoubt"
40-
private CIPHER_TEXT = Int32[
40+
private CIPHER_TEXT = UInt32.static_array(
4141
0x4f727068, 0x65616e42, 0x65686f6c,
4242
0x64657253, 0x63727944, 0x6f756274,
43-
]
43+
)
4444

4545
def self.hash_secret(password, cost = DEFAULT_COST) : String
4646
passwordb = password.to_unsafe.to_slice(password.bytesize + 1) # include leading 0
@@ -94,8 +94,8 @@ class Crypto::Bcrypt
9494
blowfish = Blowfish.new(BLOWFISH_ROUNDS)
9595
blowfish.enhance_key_schedule(salt, password, cost)
9696

97-
cdata = CIPHER_TEXT.dup
98-
size = cdata.size
97+
cipher = CIPHER_TEXT.dup
98+
cdata = cipher.to_unsafe
9999

100100
0.step(to: 4, by: 2) do |i|
101101
64.times do
@@ -104,10 +104,10 @@ class Crypto::Bcrypt
104104
end
105105
end
106106

107-
ret = Bytes.new(size * 4)
107+
ret = Bytes.new(cipher.size * 4)
108108
j = -1
109109

110-
size.times do |i|
110+
cipher.size.times do |i|
111111
ret[j += 1] = (cdata[i] >> 24).to_u8
112112
ret[j += 1] = (cdata[i] >> 16).to_u8
113113
ret[j += 1] = (cdata[i] >> 8).to_u8

‎src/crypto/bcrypt/blowfish.cr

+11-13
Original file line numberDiff line numberDiff line change
@@ -16,27 +16,25 @@ class Crypto::Bcrypt::Blowfish < Crypto::Blowfish
1616
pos = 0
1717

1818
0.upto(17) do |i|
19-
@p[i] ^= next_word(key, pointerof(pos))
19+
@p.to_unsafe[i] ^= next_word(key, pointerof(pos))
2020
end
2121

22-
l, r, pos = 0, 0, 0
22+
l, r, pos = 0_u32, 0_u32, 0
2323

24-
0.step(to: 17, by: 2) do |i|
24+
(0..17).step(2) do |i|
2525
l ^= next_word(data, pointerof(pos))
2626
r ^= next_word(data, pointerof(pos))
2727
l, r = encrypt_pair(l, r)
28-
@p[i] = l
29-
@p[i + 1] = r
28+
@p.to_unsafe[i] = l
29+
@p.to_unsafe[i + 1] = r
3030
end
3131

32-
0.upto(3) do |i|
33-
0.step(to: 255, by: 2) do |j|
34-
l ^= next_word(data, pointerof(pos))
35-
r ^= next_word(data, pointerof(pos))
36-
l, r = encrypt_pair(l, r)
37-
@s[i][j] = l
38-
@s[i][j + 1] = r
39-
end
32+
(0..1023).step(2) do |i|
33+
l ^= next_word(data, pointerof(pos))
34+
r ^= next_word(data, pointerof(pos))
35+
l, r = encrypt_pair(l, r)
36+
@s.to_unsafe[i] = l
37+
@s.to_unsafe[i + 1] = r
4038
end
4139
end
4240
end

‎src/crypto/blowfish.cr

+212-213
Original file line numberDiff line numberDiff line change
@@ -1,79 +1,83 @@
11
class Crypto::Blowfish
22
DEFAULT_ROUNDS = 16
33

4-
@p : Array(Int32)
5-
@s : Array(Array(Int32))
4+
@p : StaticArray(UInt32, 18)
5+
@s : StaticArray(UInt32, 1024)
6+
@s1 : UInt32*
7+
@s2 : UInt32*
8+
@s3 : UInt32*
69

710
def initialize(@rounds = DEFAULT_ROUNDS)
811
@p = P.dup
9-
@s = S.clone
12+
@s = S.dup
13+
@s1 = @s.to_unsafe + 256
14+
@s2 = @s.to_unsafe + 512
15+
@s3 = @s.to_unsafe + 768
1016
end
1117

1218
def expand_key(key)
1319
pos = 0
1420

1521
0.upto(17) do |i|
16-
@p[i] ^= next_word(key, pointerof(pos))
22+
@p.to_unsafe[i] ^= next_word(key, pointerof(pos))
1723
end
1824

19-
l, r = 0, 0
25+
l, r = 0_u32, 0_u32
2026

21-
0.step(to: 17, by: 2) do |i|
27+
(0..17).step(2) do |i|
2228
l, r = encrypt_pair(l, r)
23-
@p[i] = l
24-
@p[i + 1] = r
29+
@p.to_unsafe[i] = l
30+
@p.to_unsafe[i + 1] = r
2531
end
2632

27-
0.upto(3) do |i|
28-
0.step(to: 255, by: 2) do |j|
29-
l, r = encrypt_pair(l, r)
30-
@s[i][j] = l
31-
@s[i][j + 1] = r
32-
end
33+
(0..1023).step(2) do |i|
34+
l, r = encrypt_pair(l, r)
35+
@s.to_unsafe[i] = l
36+
@s.to_unsafe[i + 1] = r
3337
end
3438
end
3539

36-
def encrypt_pair(l : Int32, r : Int32)
40+
def encrypt_pair(l : UInt32, r : UInt32)
3741
0.upto(@rounds - 1) do |i|
38-
l ^= @p[i]
42+
l ^= @p.to_unsafe[i]
3943
r ^= f(l)
4044
l, r = r, l
4145
end
4246

4347
l, r = r, l
4448

45-
r ^= @p[@rounds]
46-
l ^= @p[@rounds + 1]
49+
r ^= @p.to_unsafe[@rounds]
50+
l ^= @p.to_unsafe[@rounds + 1]
4751

4852
{l, r}
4953
end
5054

51-
def decrypt_pair(l : Int32, r : Int32)
55+
def decrypt_pair(l : UInt32, r : UInt32)
5256
(@rounds + 1).downto(2) do |i|
53-
l ^= @p[i]
57+
l ^= @p.to_unsafe[i]
5458
r ^= f(l)
5559
l, r = r, l
5660
end
5761

5862
l, r = r, l
5963

60-
r ^= @p[1]
61-
l ^= @p[0]
64+
r ^= @p.to_unsafe[1]
65+
l ^= @p.to_unsafe[0]
6266

6367
{l, r}
6468
end
6569

70+
@[AlwaysInline]
6671
private def f(x)
67-
d = x & 0x00ff
68-
c = (x >>= 8) & 0x00ff
69-
b = (x >>= 8) & 0x00ff
70-
a = (x >>= 8) & 0x00ff
71-
72-
((@s[0][a] + @s[1][b]) ^ @s[2][c]) + @s[3][d]
72+
d = x & 0xff_u32
73+
c = (x >> 8) & 0xff_u32
74+
b = (x >> 16) & 0xff_u32
75+
a = (x >> 24) & 0xff_u32
76+
((@s.to_unsafe[a] + @s1[b]) ^ @s2[c]) + @s3[d]
7377
end
7478

7579
private def next_word(data, pos)
76-
word = 0
80+
word = 0_u32
7781

7882
4.times do
7983
word = (word << 8) | data[pos.value]
@@ -83,192 +87,187 @@ class Crypto::Blowfish
8387
word
8488
end
8589

86-
private P = Int32[
90+
private P = UInt32.static_array(
8791
0x243f6a88, 0x85a308d3, 0x13198a2e, 0x03707344, 0xa4093822, 0x299f31d0,
8892
0x082efa98, 0xec4e6c89, 0x452821e6, 0x38d01377, 0xbe5466cf, 0x34e90c6c,
8993
0xc0ac29b7, 0xc97c50dd, 0x3f84d5b5, 0xb5470917, 0x9216d5d9, 0x8979fb1b,
90-
]
94+
)
95+
96+
private S = UInt32.static_array(
97+
0xd1310ba6, 0x98dfb5ac, 0x2ffd72db, 0xd01adfb7, 0xb8e1afed, 0x6a267e96,
98+
0xba7c9045, 0xf12c7f99, 0x24a19947, 0xb3916cf7, 0x0801f2e2, 0x858efc16,
99+
0x636920d8, 0x71574e69, 0xa458fea3, 0xf4933d7e, 0x0d95748f, 0x728eb658,
100+
0x718bcd58, 0x82154aee, 0x7b54a41d, 0xc25a59b5, 0x9c30d539, 0x2af26013,
101+
0xc5d1b023, 0x286085f0, 0xca417918, 0xb8db38ef, 0x8e79dcb0, 0x603a180e,
102+
0x6c9e0e8b, 0xb01e8a3e, 0xd71577c1, 0xbd314b27, 0x78af2fda, 0x55605c60,
103+
0xe65525f3, 0xaa55ab94, 0x57489862, 0x63e81440, 0x55ca396a, 0x2aab10b6,
104+
0xb4cc5c34, 0x1141e8ce, 0xa15486af, 0x7c72e993, 0xb3ee1411, 0x636fbc2a,
105+
0x2ba9c55d, 0x741831f6, 0xce5c3e16, 0x9b87931e, 0xafd6ba33, 0x6c24cf5c,
106+
0x7a325381, 0x28958677, 0x3b8f4898, 0x6b4bb9af, 0xc4bfe81b, 0x66282193,
107+
0x61d809cc, 0xfb21a991, 0x487cac60, 0x5dec8032, 0xef845d5d, 0xe98575b1,
108+
0xdc262302, 0xeb651b88, 0x23893e81, 0xd396acc5, 0x0f6d6ff3, 0x83f44239,
109+
0x2e0b4482, 0xa4842004, 0x69c8f04a, 0x9e1f9b5e, 0x21c66842, 0xf6e96c9a,
110+
0x670c9c61, 0xabd388f0, 0x6a51a0d2, 0xd8542f68, 0x960fa728, 0xab5133a3,
111+
0x6eef0b6c, 0x137a3be4, 0xba3bf050, 0x7efb2a98, 0xa1f1651d, 0x39af0176,
112+
0x66ca593e, 0x82430e88, 0x8cee8619, 0x456f9fb4, 0x7d84a5c3, 0x3b8b5ebe,
113+
0xe06f75d8, 0x85c12073, 0x401a449f, 0x56c16aa6, 0x4ed3aa62, 0x363f7706,
114+
0x1bfedf72, 0x429b023d, 0x37d0d724, 0xd00a1248, 0xdb0fead3, 0x49f1c09b,
115+
0x075372c9, 0x80991b7b, 0x25d479d8, 0xf6e8def7, 0xe3fe501a, 0xb6794c3b,
116+
0x976ce0bd, 0x04c006ba, 0xc1a94fb6, 0x409f60c4, 0x5e5c9ec2, 0x196a2463,
117+
0x68fb6faf, 0x3e6c53b5, 0x1339b2eb, 0x3b52ec6f, 0x6dfc511f, 0x9b30952c,
118+
0xcc814544, 0xaf5ebd09, 0xbee3d004, 0xde334afd, 0x660f2807, 0x192e4bb3,
119+
0xc0cba857, 0x45c8740f, 0xd20b5f39, 0xb9d3fbdb, 0x5579c0bd, 0x1a60320a,
120+
0xd6a100c6, 0x402c7279, 0x679f25fe, 0xfb1fa3cc, 0x8ea5e9f8, 0xdb3222f8,
121+
0x3c7516df, 0xfd616b15, 0x2f501ec8, 0xad0552ab, 0x323db5fa, 0xfd238760,
122+
0x53317b48, 0x3e00df82, 0x9e5c57bb, 0xca6f8ca0, 0x1a87562e, 0xdf1769db,
123+
0xd542a8f6, 0x287effc3, 0xac6732c6, 0x8c4f5573, 0x695b27b0, 0xbbca58c8,
124+
0xe1ffa35d, 0xb8f011a0, 0x10fa3d98, 0xfd2183b8, 0x4afcb56c, 0x2dd1d35b,
125+
0x9a53e479, 0xb6f84565, 0xd28e49bc, 0x4bfb9790, 0xe1ddf2da, 0xa4cb7e33,
126+
0x62fb1341, 0xcee4c6e8, 0xef20cada, 0x36774c01, 0xd07e9efe, 0x2bf11fb4,
127+
0x95dbda4d, 0xae909198, 0xeaad8e71, 0x6b93d5a0, 0xd08ed1d0, 0xafc725e0,
128+
0x8e3c5b2f, 0x8e7594b7, 0x8ff6e2fb, 0xf2122b64, 0x8888b812, 0x900df01c,
129+
0x4fad5ea0, 0x688fc31c, 0xd1cff191, 0xb3a8c1ad, 0x2f2f2218, 0xbe0e1777,
130+
0xea752dfe, 0x8b021fa1, 0xe5a0cc0f, 0xb56f74e8, 0x18acf3d6, 0xce89e299,
131+
0xb4a84fe0, 0xfd13e0b7, 0x7cc43b81, 0xd2ada8d9, 0x165fa266, 0x80957705,
132+
0x93cc7314, 0x211a1477, 0xe6ad2065, 0x77b5fa86, 0xc75442f5, 0xfb9d35cf,
133+
0xebcdaf0c, 0x7b3e89a0, 0xd6411bd3, 0xae1e7e49, 0x00250e2d, 0x2071b35e,
134+
0x226800bb, 0x57b8e0af, 0x2464369b, 0xf009b91e, 0x5563911d, 0x59dfa6aa,
135+
0x78c14389, 0xd95a537f, 0x207d5ba2, 0x02e5b9c5, 0x83260376, 0x6295cfa9,
136+
0x11c81968, 0x4e734a41, 0xb3472dca, 0x7b14a94a, 0x1b510052, 0x9a532915,
137+
0xd60f573f, 0xbc9bc6e4, 0x2b60a476, 0x81e67400, 0x08ba6fb5, 0x571be91f,
138+
0xf296ec6b, 0x2a0dd915, 0xb6636521, 0xe7b9f9b6, 0xff34052e, 0xc5855664,
139+
0x53b02d5d, 0xa99f8fa1, 0x08ba4799, 0x6e85076a,
140+
141+
0x4b7a70e9, 0xb5b32944, 0xdb75092e, 0xc4192623, 0xad6ea6b0, 0x49a7df7d,
142+
0x9cee60b8, 0x8fedb266, 0xecaa8c71, 0x699a17ff, 0x5664526c, 0xc2b19ee1,
143+
0x193602a5, 0x75094c29, 0xa0591340, 0xe4183a3e, 0x3f54989a, 0x5b429d65,
144+
0x6b8fe4d6, 0x99f73fd6, 0xa1d29c07, 0xefe830f5, 0x4d2d38e6, 0xf0255dc1,
145+
0x4cdd2086, 0x8470eb26, 0x6382e9c6, 0x021ecc5e, 0x09686b3f, 0x3ebaefc9,
146+
0x3c971814, 0x6b6a70a1, 0x687f3584, 0x52a0e286, 0xb79c5305, 0xaa500737,
147+
0x3e07841c, 0x7fdeae5c, 0x8e7d44ec, 0x5716f2b8, 0xb03ada37, 0xf0500c0d,
148+
0xf01c1f04, 0x0200b3ff, 0xae0cf51a, 0x3cb574b2, 0x25837a58, 0xdc0921bd,
149+
0xd19113f9, 0x7ca92ff6, 0x94324773, 0x22f54701, 0x3ae5e581, 0x37c2dadc,
150+
0xc8b57634, 0x9af3dda7, 0xa9446146, 0x0fd0030e, 0xecc8c73e, 0xa4751e41,
151+
0xe238cd99, 0x3bea0e2f, 0x3280bba1, 0x183eb331, 0x4e548b38, 0x4f6db908,
152+
0x6f420d03, 0xf60a04bf, 0x2cb81290, 0x24977c79, 0x5679b072, 0xbcaf89af,
153+
0xde9a771f, 0xd9930810, 0xb38bae12, 0xdccf3f2e, 0x5512721f, 0x2e6b7124,
154+
0x501adde6, 0x9f84cd87, 0x7a584718, 0x7408da17, 0xbc9f9abc, 0xe94b7d8c,
155+
0xec7aec3a, 0xdb851dfa, 0x63094366, 0xc464c3d2, 0xef1c1847, 0x3215d908,
156+
0xdd433b37, 0x24c2ba16, 0x12a14d43, 0x2a65c451, 0x50940002, 0x133ae4dd,
157+
0x71dff89e, 0x10314e55, 0x81ac77d6, 0x5f11199b, 0x043556f1, 0xd7a3c76b,
158+
0x3c11183b, 0x5924a509, 0xf28fe6ed, 0x97f1fbfa, 0x9ebabf2c, 0x1e153c6e,
159+
0x86e34570, 0xeae96fb1, 0x860e5e0a, 0x5a3e2ab3, 0x771fe71c, 0x4e3d06fa,
160+
0x2965dcb9, 0x99e71d0f, 0x803e89d6, 0x5266c825, 0x2e4cc978, 0x9c10b36a,
161+
0xc6150eba, 0x94e2ea78, 0xa5fc3c53, 0x1e0a2df4, 0xf2f74ea7, 0x361d2b3d,
162+
0x1939260f, 0x19c27960, 0x5223a708, 0xf71312b6, 0xebadfe6e, 0xeac31f66,
163+
0xe3bc4595, 0xa67bc883, 0xb17f37d1, 0x018cff28, 0xc332ddef, 0xbe6c5aa5,
164+
0x65582185, 0x68ab9802, 0xeecea50f, 0xdb2f953b, 0x2aef7dad, 0x5b6e2f84,
165+
0x1521b628, 0x29076170, 0xecdd4775, 0x619f1510, 0x13cca830, 0xeb61bd96,
166+
0x0334fe1e, 0xaa0363cf, 0xb5735c90, 0x4c70a239, 0xd59e9e0b, 0xcbaade14,
167+
0xeecc86bc, 0x60622ca7, 0x9cab5cab, 0xb2f3846e, 0x648b1eaf, 0x19bdf0ca,
168+
0xa02369b9, 0x655abb50, 0x40685a32, 0x3c2ab4b3, 0x319ee9d5, 0xc021b8f7,
169+
0x9b540b19, 0x875fa099, 0x95f7997e, 0x623d7da8, 0xf837889a, 0x97e32d77,
170+
0x11ed935f, 0x16681281, 0x0e358829, 0xc7e61fd6, 0x96dedfa1, 0x7858ba99,
171+
0x57f584a5, 0x1b227263, 0x9b83c3ff, 0x1ac24696, 0xcdb30aeb, 0x532e3054,
172+
0x8fd948e4, 0x6dbc3128, 0x58ebf2ef, 0x34c6ffea, 0xfe28ed61, 0xee7c3c73,
173+
0x5d4a14d9, 0xe864b7e3, 0x42105d14, 0x203e13e0, 0x45eee2b6, 0xa3aaabea,
174+
0xdb6c4f15, 0xfacb4fd0, 0xc742f442, 0xef6abbb5, 0x654f3b1d, 0x41cd2105,
175+
0xd81e799e, 0x86854dc7, 0xe44b476a, 0x3d816250, 0xcf62a1f2, 0x5b8d2646,
176+
0xfc8883a0, 0xc1c7b6a3, 0x7f1524c3, 0x69cb7492, 0x47848a0b, 0x5692b285,
177+
0x095bbf00, 0xad19489d, 0x1462b174, 0x23820e00, 0x58428d2a, 0x0c55f5ea,
178+
0x1dadf43e, 0x233f7061, 0x3372f092, 0x8d937e41, 0xd65fecf1, 0x6c223bdb,
179+
0x7cde3759, 0xcbee7460, 0x4085f2a7, 0xce77326e, 0xa6078084, 0x19f8509e,
180+
0xe8efd855, 0x61d99735, 0xa969a7aa, 0xc50c06c2, 0x5a04abfc, 0x800bcadc,
181+
0x9e447a2e, 0xc3453484, 0xfdd56705, 0x0e1e9ec9, 0xdb73dbd3, 0x105588cd,
182+
0x675fda79, 0xe3674340, 0xc5c43465, 0x713e38d8, 0x3d28f89e, 0xf16dff20,
183+
0x153e21e7, 0x8fb03d4a, 0xe6e39f2b, 0xdb83adf7,
184+
185+
0xe93d5a68, 0x948140f7, 0xf64c261c, 0x94692934, 0x411520f7, 0x7602d4f7,
186+
0xbcf46b2e, 0xd4a20068, 0xd4082471, 0x3320f46a, 0x43b7d4b7, 0x500061af,
187+
0x1e39f62e, 0x97244546, 0x14214f74, 0xbf8b8840, 0x4d95fc1d, 0x96b591af,
188+
0x70f4ddd3, 0x66a02f45, 0xbfbc09ec, 0x03bd9785, 0x7fac6dd0, 0x31cb8504,
189+
0x96eb27b3, 0x55fd3941, 0xda2547e6, 0xabca0a9a, 0x28507825, 0x530429f4,
190+
0x0a2c86da, 0xe9b66dfb, 0x68dc1462, 0xd7486900, 0x680ec0a4, 0x27a18dee,
191+
0x4f3ffea2, 0xe887ad8c, 0xb58ce006, 0x7af4d6b6, 0xaace1e7c, 0xd3375fec,
192+
0xce78a399, 0x406b2a42, 0x20fe9e35, 0xd9f385b9, 0xee39d7ab, 0x3b124e8b,
193+
0x1dc9faf7, 0x4b6d1856, 0x26a36631, 0xeae397b2, 0x3a6efa74, 0xdd5b4332,
194+
0x6841e7f7, 0xca7820fb, 0xfb0af54e, 0xd8feb397, 0x454056ac, 0xba489527,
195+
0x55533a3a, 0x20838d87, 0xfe6ba9b7, 0xd096954b, 0x55a867bc, 0xa1159a58,
196+
0xcca92963, 0x99e1db33, 0xa62a4a56, 0x3f3125f9, 0x5ef47e1c, 0x9029317c,
197+
0xfdf8e802, 0x04272f70, 0x80bb155c, 0x05282ce3, 0x95c11548, 0xe4c66d22,
198+
0x48c1133f, 0xc70f86dc, 0x07f9c9ee, 0x41041f0f, 0x404779a4, 0x5d886e17,
199+
0x325f51eb, 0xd59bc0d1, 0xf2bcc18f, 0x41113564, 0x257b7834, 0x602a9c60,
200+
0xdff8e8a3, 0x1f636c1b, 0x0e12b4c2, 0x02e1329e, 0xaf664fd1, 0xcad18115,
201+
0x6b2395e0, 0x333e92e1, 0x3b240b62, 0xeebeb922, 0x85b2a20e, 0xe6ba0d99,
202+
0xde720c8c, 0x2da2f728, 0xd0127845, 0x95b794fd, 0x647d0862, 0xe7ccf5f0,
203+
0x5449a36f, 0x877d48fa, 0xc39dfd27, 0xf33e8d1e, 0x0a476341, 0x992eff74,
204+
0x3a6f6eab, 0xf4f8fd37, 0xa812dc60, 0xa1ebddf8, 0x991be14c, 0xdb6e6b0d,
205+
0xc67b5510, 0x6d672c37, 0x2765d43b, 0xdcd0e804, 0xf1290dc7, 0xcc00ffa3,
206+
0xb5390f92, 0x690fed0b, 0x667b9ffb, 0xcedb7d9c, 0xa091cf0b, 0xd9155ea3,
207+
0xbb132f88, 0x515bad24, 0x7b9479bf, 0x763bd6eb, 0x37392eb3, 0xcc115979,
208+
0x8026e297, 0xf42e312d, 0x6842ada7, 0xc66a2b3b, 0x12754ccc, 0x782ef11c,
209+
0x6a124237, 0xb79251e7, 0x06a1bbe6, 0x4bfb6350, 0x1a6b1018, 0x11caedfa,
210+
0x3d25bdd8, 0xe2e1c3c9, 0x44421659, 0x0a121386, 0xd90cec6e, 0xd5abea2a,
211+
0x64af674e, 0xda86a85f, 0xbebfe988, 0x64e4c3fe, 0x9dbc8057, 0xf0f7c086,
212+
0x60787bf8, 0x6003604d, 0xd1fd8346, 0xf6381fb0, 0x7745ae04, 0xd736fccc,
213+
0x83426b33, 0xf01eab71, 0xb0804187, 0x3c005e5f, 0x77a057be, 0xbde8ae24,
214+
0x55464299, 0xbf582e61, 0x4e58f48f, 0xf2ddfda2, 0xf474ef38, 0x8789bdc2,
215+
0x5366f9c3, 0xc8b38e74, 0xb475f255, 0x46fcd9b9, 0x7aeb2661, 0x8b1ddf84,
216+
0x846a0e79, 0x915f95e2, 0x466e598e, 0x20b45770, 0x8cd55591, 0xc902de4c,
217+
0xb90bace1, 0xbb8205d0, 0x11a86248, 0x7574a99e, 0xb77f19b6, 0xe0a9dc09,
218+
0x662d09a1, 0xc4324633, 0xe85a1f02, 0x09f0be8c, 0x4a99a025, 0x1d6efe10,
219+
0x1ab93d1d, 0x0ba5a4df, 0xa186f20f, 0x2868f169, 0xdcb7da83, 0x573906fe,
220+
0xa1e2ce9b, 0x4fcd7f52, 0x50115e01, 0xa70683fa, 0xa002b5c4, 0x0de6d027,
221+
0x9af88c27, 0x773f8641, 0xc3604c06, 0x61a806b5, 0xf0177a28, 0xc0f586e0,
222+
0x006058aa, 0x30dc7d62, 0x11e69ed7, 0x2338ea63, 0x53c2dd94, 0xc2c21634,
223+
0xbbcbee56, 0x90bcb6de, 0xebfc7da1, 0xce591d76, 0x6f05e409, 0x4b7c0188,
224+
0x39720a3d, 0x7c927c24, 0x86e3725f, 0x724d9db9, 0x1ac15bb4, 0xd39eb8fc,
225+
0xed545578, 0x08fca5b5, 0xd83d7cd3, 0x4dad0fc4, 0x1e50ef5e, 0xb161e6f8,
226+
0xa28514d9, 0x6c51133c, 0x6fd5c7e7, 0x56e14ec4, 0x362abfce, 0xddc6c837,
227+
0xd79a3234, 0x92638212, 0x670efa8e, 0x406000e0,
91228

92-
private S = [
93-
Int32[
94-
0xd1310ba6, 0x98dfb5ac, 0x2ffd72db, 0xd01adfb7, 0xb8e1afed, 0x6a267e96,
95-
0xba7c9045, 0xf12c7f99, 0x24a19947, 0xb3916cf7, 0x0801f2e2, 0x858efc16,
96-
0x636920d8, 0x71574e69, 0xa458fea3, 0xf4933d7e, 0x0d95748f, 0x728eb658,
97-
0x718bcd58, 0x82154aee, 0x7b54a41d, 0xc25a59b5, 0x9c30d539, 0x2af26013,
98-
0xc5d1b023, 0x286085f0, 0xca417918, 0xb8db38ef, 0x8e79dcb0, 0x603a180e,
99-
0x6c9e0e8b, 0xb01e8a3e, 0xd71577c1, 0xbd314b27, 0x78af2fda, 0x55605c60,
100-
0xe65525f3, 0xaa55ab94, 0x57489862, 0x63e81440, 0x55ca396a, 0x2aab10b6,
101-
0xb4cc5c34, 0x1141e8ce, 0xa15486af, 0x7c72e993, 0xb3ee1411, 0x636fbc2a,
102-
0x2ba9c55d, 0x741831f6, 0xce5c3e16, 0x9b87931e, 0xafd6ba33, 0x6c24cf5c,
103-
0x7a325381, 0x28958677, 0x3b8f4898, 0x6b4bb9af, 0xc4bfe81b, 0x66282193,
104-
0x61d809cc, 0xfb21a991, 0x487cac60, 0x5dec8032, 0xef845d5d, 0xe98575b1,
105-
0xdc262302, 0xeb651b88, 0x23893e81, 0xd396acc5, 0x0f6d6ff3, 0x83f44239,
106-
0x2e0b4482, 0xa4842004, 0x69c8f04a, 0x9e1f9b5e, 0x21c66842, 0xf6e96c9a,
107-
0x670c9c61, 0xabd388f0, 0x6a51a0d2, 0xd8542f68, 0x960fa728, 0xab5133a3,
108-
0x6eef0b6c, 0x137a3be4, 0xba3bf050, 0x7efb2a98, 0xa1f1651d, 0x39af0176,
109-
0x66ca593e, 0x82430e88, 0x8cee8619, 0x456f9fb4, 0x7d84a5c3, 0x3b8b5ebe,
110-
0xe06f75d8, 0x85c12073, 0x401a449f, 0x56c16aa6, 0x4ed3aa62, 0x363f7706,
111-
0x1bfedf72, 0x429b023d, 0x37d0d724, 0xd00a1248, 0xdb0fead3, 0x49f1c09b,
112-
0x075372c9, 0x80991b7b, 0x25d479d8, 0xf6e8def7, 0xe3fe501a, 0xb6794c3b,
113-
0x976ce0bd, 0x04c006ba, 0xc1a94fb6, 0x409f60c4, 0x5e5c9ec2, 0x196a2463,
114-
0x68fb6faf, 0x3e6c53b5, 0x1339b2eb, 0x3b52ec6f, 0x6dfc511f, 0x9b30952c,
115-
0xcc814544, 0xaf5ebd09, 0xbee3d004, 0xde334afd, 0x660f2807, 0x192e4bb3,
116-
0xc0cba857, 0x45c8740f, 0xd20b5f39, 0xb9d3fbdb, 0x5579c0bd, 0x1a60320a,
117-
0xd6a100c6, 0x402c7279, 0x679f25fe, 0xfb1fa3cc, 0x8ea5e9f8, 0xdb3222f8,
118-
0x3c7516df, 0xfd616b15, 0x2f501ec8, 0xad0552ab, 0x323db5fa, 0xfd238760,
119-
0x53317b48, 0x3e00df82, 0x9e5c57bb, 0xca6f8ca0, 0x1a87562e, 0xdf1769db,
120-
0xd542a8f6, 0x287effc3, 0xac6732c6, 0x8c4f5573, 0x695b27b0, 0xbbca58c8,
121-
0xe1ffa35d, 0xb8f011a0, 0x10fa3d98, 0xfd2183b8, 0x4afcb56c, 0x2dd1d35b,
122-
0x9a53e479, 0xb6f84565, 0xd28e49bc, 0x4bfb9790, 0xe1ddf2da, 0xa4cb7e33,
123-
0x62fb1341, 0xcee4c6e8, 0xef20cada, 0x36774c01, 0xd07e9efe, 0x2bf11fb4,
124-
0x95dbda4d, 0xae909198, 0xeaad8e71, 0x6b93d5a0, 0xd08ed1d0, 0xafc725e0,
125-
0x8e3c5b2f, 0x8e7594b7, 0x8ff6e2fb, 0xf2122b64, 0x8888b812, 0x900df01c,
126-
0x4fad5ea0, 0x688fc31c, 0xd1cff191, 0xb3a8c1ad, 0x2f2f2218, 0xbe0e1777,
127-
0xea752dfe, 0x8b021fa1, 0xe5a0cc0f, 0xb56f74e8, 0x18acf3d6, 0xce89e299,
128-
0xb4a84fe0, 0xfd13e0b7, 0x7cc43b81, 0xd2ada8d9, 0x165fa266, 0x80957705,
129-
0x93cc7314, 0x211a1477, 0xe6ad2065, 0x77b5fa86, 0xc75442f5, 0xfb9d35cf,
130-
0xebcdaf0c, 0x7b3e89a0, 0xd6411bd3, 0xae1e7e49, 0x00250e2d, 0x2071b35e,
131-
0x226800bb, 0x57b8e0af, 0x2464369b, 0xf009b91e, 0x5563911d, 0x59dfa6aa,
132-
0x78c14389, 0xd95a537f, 0x207d5ba2, 0x02e5b9c5, 0x83260376, 0x6295cfa9,
133-
0x11c81968, 0x4e734a41, 0xb3472dca, 0x7b14a94a, 0x1b510052, 0x9a532915,
134-
0xd60f573f, 0xbc9bc6e4, 0x2b60a476, 0x81e67400, 0x08ba6fb5, 0x571be91f,
135-
0xf296ec6b, 0x2a0dd915, 0xb6636521, 0xe7b9f9b6, 0xff34052e, 0xc5855664,
136-
0x53b02d5d, 0xa99f8fa1, 0x08ba4799, 0x6e85076a,
137-
],
138-
Int32[
139-
0x4b7a70e9, 0xb5b32944, 0xdb75092e, 0xc4192623, 0xad6ea6b0, 0x49a7df7d,
140-
0x9cee60b8, 0x8fedb266, 0xecaa8c71, 0x699a17ff, 0x5664526c, 0xc2b19ee1,
141-
0x193602a5, 0x75094c29, 0xa0591340, 0xe4183a3e, 0x3f54989a, 0x5b429d65,
142-
0x6b8fe4d6, 0x99f73fd6, 0xa1d29c07, 0xefe830f5, 0x4d2d38e6, 0xf0255dc1,
143-
0x4cdd2086, 0x8470eb26, 0x6382e9c6, 0x021ecc5e, 0x09686b3f, 0x3ebaefc9,
144-
0x3c971814, 0x6b6a70a1, 0x687f3584, 0x52a0e286, 0xb79c5305, 0xaa500737,
145-
0x3e07841c, 0x7fdeae5c, 0x8e7d44ec, 0x5716f2b8, 0xb03ada37, 0xf0500c0d,
146-
0xf01c1f04, 0x0200b3ff, 0xae0cf51a, 0x3cb574b2, 0x25837a58, 0xdc0921bd,
147-
0xd19113f9, 0x7ca92ff6, 0x94324773, 0x22f54701, 0x3ae5e581, 0x37c2dadc,
148-
0xc8b57634, 0x9af3dda7, 0xa9446146, 0x0fd0030e, 0xecc8c73e, 0xa4751e41,
149-
0xe238cd99, 0x3bea0e2f, 0x3280bba1, 0x183eb331, 0x4e548b38, 0x4f6db908,
150-
0x6f420d03, 0xf60a04bf, 0x2cb81290, 0x24977c79, 0x5679b072, 0xbcaf89af,
151-
0xde9a771f, 0xd9930810, 0xb38bae12, 0xdccf3f2e, 0x5512721f, 0x2e6b7124,
152-
0x501adde6, 0x9f84cd87, 0x7a584718, 0x7408da17, 0xbc9f9abc, 0xe94b7d8c,
153-
0xec7aec3a, 0xdb851dfa, 0x63094366, 0xc464c3d2, 0xef1c1847, 0x3215d908,
154-
0xdd433b37, 0x24c2ba16, 0x12a14d43, 0x2a65c451, 0x50940002, 0x133ae4dd,
155-
0x71dff89e, 0x10314e55, 0x81ac77d6, 0x5f11199b, 0x043556f1, 0xd7a3c76b,
156-
0x3c11183b, 0x5924a509, 0xf28fe6ed, 0x97f1fbfa, 0x9ebabf2c, 0x1e153c6e,
157-
0x86e34570, 0xeae96fb1, 0x860e5e0a, 0x5a3e2ab3, 0x771fe71c, 0x4e3d06fa,
158-
0x2965dcb9, 0x99e71d0f, 0x803e89d6, 0x5266c825, 0x2e4cc978, 0x9c10b36a,
159-
0xc6150eba, 0x94e2ea78, 0xa5fc3c53, 0x1e0a2df4, 0xf2f74ea7, 0x361d2b3d,
160-
0x1939260f, 0x19c27960, 0x5223a708, 0xf71312b6, 0xebadfe6e, 0xeac31f66,
161-
0xe3bc4595, 0xa67bc883, 0xb17f37d1, 0x018cff28, 0xc332ddef, 0xbe6c5aa5,
162-
0x65582185, 0x68ab9802, 0xeecea50f, 0xdb2f953b, 0x2aef7dad, 0x5b6e2f84,
163-
0x1521b628, 0x29076170, 0xecdd4775, 0x619f1510, 0x13cca830, 0xeb61bd96,
164-
0x0334fe1e, 0xaa0363cf, 0xb5735c90, 0x4c70a239, 0xd59e9e0b, 0xcbaade14,
165-
0xeecc86bc, 0x60622ca7, 0x9cab5cab, 0xb2f3846e, 0x648b1eaf, 0x19bdf0ca,
166-
0xa02369b9, 0x655abb50, 0x40685a32, 0x3c2ab4b3, 0x319ee9d5, 0xc021b8f7,
167-
0x9b540b19, 0x875fa099, 0x95f7997e, 0x623d7da8, 0xf837889a, 0x97e32d77,
168-
0x11ed935f, 0x16681281, 0x0e358829, 0xc7e61fd6, 0x96dedfa1, 0x7858ba99,
169-
0x57f584a5, 0x1b227263, 0x9b83c3ff, 0x1ac24696, 0xcdb30aeb, 0x532e3054,
170-
0x8fd948e4, 0x6dbc3128, 0x58ebf2ef, 0x34c6ffea, 0xfe28ed61, 0xee7c3c73,
171-
0x5d4a14d9, 0xe864b7e3, 0x42105d14, 0x203e13e0, 0x45eee2b6, 0xa3aaabea,
172-
0xdb6c4f15, 0xfacb4fd0, 0xc742f442, 0xef6abbb5, 0x654f3b1d, 0x41cd2105,
173-
0xd81e799e, 0x86854dc7, 0xe44b476a, 0x3d816250, 0xcf62a1f2, 0x5b8d2646,
174-
0xfc8883a0, 0xc1c7b6a3, 0x7f1524c3, 0x69cb7492, 0x47848a0b, 0x5692b285,
175-
0x095bbf00, 0xad19489d, 0x1462b174, 0x23820e00, 0x58428d2a, 0x0c55f5ea,
176-
0x1dadf43e, 0x233f7061, 0x3372f092, 0x8d937e41, 0xd65fecf1, 0x6c223bdb,
177-
0x7cde3759, 0xcbee7460, 0x4085f2a7, 0xce77326e, 0xa6078084, 0x19f8509e,
178-
0xe8efd855, 0x61d99735, 0xa969a7aa, 0xc50c06c2, 0x5a04abfc, 0x800bcadc,
179-
0x9e447a2e, 0xc3453484, 0xfdd56705, 0x0e1e9ec9, 0xdb73dbd3, 0x105588cd,
180-
0x675fda79, 0xe3674340, 0xc5c43465, 0x713e38d8, 0x3d28f89e, 0xf16dff20,
181-
0x153e21e7, 0x8fb03d4a, 0xe6e39f2b, 0xdb83adf7,
182-
],
183-
Int32[
184-
0xe93d5a68, 0x948140f7, 0xf64c261c, 0x94692934, 0x411520f7, 0x7602d4f7,
185-
0xbcf46b2e, 0xd4a20068, 0xd4082471, 0x3320f46a, 0x43b7d4b7, 0x500061af,
186-
0x1e39f62e, 0x97244546, 0x14214f74, 0xbf8b8840, 0x4d95fc1d, 0x96b591af,
187-
0x70f4ddd3, 0x66a02f45, 0xbfbc09ec, 0x03bd9785, 0x7fac6dd0, 0x31cb8504,
188-
0x96eb27b3, 0x55fd3941, 0xda2547e6, 0xabca0a9a, 0x28507825, 0x530429f4,
189-
0x0a2c86da, 0xe9b66dfb, 0x68dc1462, 0xd7486900, 0x680ec0a4, 0x27a18dee,
190-
0x4f3ffea2, 0xe887ad8c, 0xb58ce006, 0x7af4d6b6, 0xaace1e7c, 0xd3375fec,
191-
0xce78a399, 0x406b2a42, 0x20fe9e35, 0xd9f385b9, 0xee39d7ab, 0x3b124e8b,
192-
0x1dc9faf7, 0x4b6d1856, 0x26a36631, 0xeae397b2, 0x3a6efa74, 0xdd5b4332,
193-
0x6841e7f7, 0xca7820fb, 0xfb0af54e, 0xd8feb397, 0x454056ac, 0xba489527,
194-
0x55533a3a, 0x20838d87, 0xfe6ba9b7, 0xd096954b, 0x55a867bc, 0xa1159a58,
195-
0xcca92963, 0x99e1db33, 0xa62a4a56, 0x3f3125f9, 0x5ef47e1c, 0x9029317c,
196-
0xfdf8e802, 0x04272f70, 0x80bb155c, 0x05282ce3, 0x95c11548, 0xe4c66d22,
197-
0x48c1133f, 0xc70f86dc, 0x07f9c9ee, 0x41041f0f, 0x404779a4, 0x5d886e17,
198-
0x325f51eb, 0xd59bc0d1, 0xf2bcc18f, 0x41113564, 0x257b7834, 0x602a9c60,
199-
0xdff8e8a3, 0x1f636c1b, 0x0e12b4c2, 0x02e1329e, 0xaf664fd1, 0xcad18115,
200-
0x6b2395e0, 0x333e92e1, 0x3b240b62, 0xeebeb922, 0x85b2a20e, 0xe6ba0d99,
201-
0xde720c8c, 0x2da2f728, 0xd0127845, 0x95b794fd, 0x647d0862, 0xe7ccf5f0,
202-
0x5449a36f, 0x877d48fa, 0xc39dfd27, 0xf33e8d1e, 0x0a476341, 0x992eff74,
203-
0x3a6f6eab, 0xf4f8fd37, 0xa812dc60, 0xa1ebddf8, 0x991be14c, 0xdb6e6b0d,
204-
0xc67b5510, 0x6d672c37, 0x2765d43b, 0xdcd0e804, 0xf1290dc7, 0xcc00ffa3,
205-
0xb5390f92, 0x690fed0b, 0x667b9ffb, 0xcedb7d9c, 0xa091cf0b, 0xd9155ea3,
206-
0xbb132f88, 0x515bad24, 0x7b9479bf, 0x763bd6eb, 0x37392eb3, 0xcc115979,
207-
0x8026e297, 0xf42e312d, 0x6842ada7, 0xc66a2b3b, 0x12754ccc, 0x782ef11c,
208-
0x6a124237, 0xb79251e7, 0x06a1bbe6, 0x4bfb6350, 0x1a6b1018, 0x11caedfa,
209-
0x3d25bdd8, 0xe2e1c3c9, 0x44421659, 0x0a121386, 0xd90cec6e, 0xd5abea2a,
210-
0x64af674e, 0xda86a85f, 0xbebfe988, 0x64e4c3fe, 0x9dbc8057, 0xf0f7c086,
211-
0x60787bf8, 0x6003604d, 0xd1fd8346, 0xf6381fb0, 0x7745ae04, 0xd736fccc,
212-
0x83426b33, 0xf01eab71, 0xb0804187, 0x3c005e5f, 0x77a057be, 0xbde8ae24,
213-
0x55464299, 0xbf582e61, 0x4e58f48f, 0xf2ddfda2, 0xf474ef38, 0x8789bdc2,
214-
0x5366f9c3, 0xc8b38e74, 0xb475f255, 0x46fcd9b9, 0x7aeb2661, 0x8b1ddf84,
215-
0x846a0e79, 0x915f95e2, 0x466e598e, 0x20b45770, 0x8cd55591, 0xc902de4c,
216-
0xb90bace1, 0xbb8205d0, 0x11a86248, 0x7574a99e, 0xb77f19b6, 0xe0a9dc09,
217-
0x662d09a1, 0xc4324633, 0xe85a1f02, 0x09f0be8c, 0x4a99a025, 0x1d6efe10,
218-
0x1ab93d1d, 0x0ba5a4df, 0xa186f20f, 0x2868f169, 0xdcb7da83, 0x573906fe,
219-
0xa1e2ce9b, 0x4fcd7f52, 0x50115e01, 0xa70683fa, 0xa002b5c4, 0x0de6d027,
220-
0x9af88c27, 0x773f8641, 0xc3604c06, 0x61a806b5, 0xf0177a28, 0xc0f586e0,
221-
0x006058aa, 0x30dc7d62, 0x11e69ed7, 0x2338ea63, 0x53c2dd94, 0xc2c21634,
222-
0xbbcbee56, 0x90bcb6de, 0xebfc7da1, 0xce591d76, 0x6f05e409, 0x4b7c0188,
223-
0x39720a3d, 0x7c927c24, 0x86e3725f, 0x724d9db9, 0x1ac15bb4, 0xd39eb8fc,
224-
0xed545578, 0x08fca5b5, 0xd83d7cd3, 0x4dad0fc4, 0x1e50ef5e, 0xb161e6f8,
225-
0xa28514d9, 0x6c51133c, 0x6fd5c7e7, 0x56e14ec4, 0x362abfce, 0xddc6c837,
226-
0xd79a3234, 0x92638212, 0x670efa8e, 0x406000e0,
227-
],
228-
Int32[
229-
0x3a39ce37, 0xd3faf5cf, 0xabc27737, 0x5ac52d1b, 0x5cb0679e, 0x4fa33742,
230-
0xd3822740, 0x99bc9bbe, 0xd5118e9d, 0xbf0f7315, 0xd62d1c7e, 0xc700c47b,
231-
0xb78c1b6b, 0x21a19045, 0xb26eb1be, 0x6a366eb4, 0x5748ab2f, 0xbc946e79,
232-
0xc6a376d2, 0x6549c2c8, 0x530ff8ee, 0x468dde7d, 0xd5730a1d, 0x4cd04dc6,
233-
0x2939bbdb, 0xa9ba4650, 0xac9526e8, 0xbe5ee304, 0xa1fad5f0, 0x6a2d519a,
234-
0x63ef8ce2, 0x9a86ee22, 0xc089c2b8, 0x43242ef6, 0xa51e03aa, 0x9cf2d0a4,
235-
0x83c061ba, 0x9be96a4d, 0x8fe51550, 0xba645bd6, 0x2826a2f9, 0xa73a3ae1,
236-
0x4ba99586, 0xef5562e9, 0xc72fefd3, 0xf752f7da, 0x3f046f69, 0x77fa0a59,
237-
0x80e4a915, 0x87b08601, 0x9b09e6ad, 0x3b3ee593, 0xe990fd5a, 0x9e34d797,
238-
0x2cf0b7d9, 0x022b8b51, 0x96d5ac3a, 0x017da67d, 0xd1cf3ed6, 0x7c7d2d28,
239-
0x1f9f25cf, 0xadf2b89b, 0x5ad6b472, 0x5a88f54c, 0xe029ac71, 0xe019a5e6,
240-
0x47b0acfd, 0xed93fa9b, 0xe8d3c48d, 0x283b57cc, 0xf8d56629, 0x79132e28,
241-
0x785f0191, 0xed756055, 0xf7960e44, 0xe3d35e8c, 0x15056dd4, 0x88f46dba,
242-
0x03a16125, 0x0564f0bd, 0xc3eb9e15, 0x3c9057a2, 0x97271aec, 0xa93a072a,
243-
0x1b3f6d9b, 0x1e6321f5, 0xf59c66fb, 0x26dcf319, 0x7533d928, 0xb155fdf5,
244-
0x03563482, 0x8aba3cbb, 0x28517711, 0xc20ad9f8, 0xabcc5167, 0xccad925f,
245-
0x4de81751, 0x3830dc8e, 0x379d5862, 0x9320f991, 0xea7a90c2, 0xfb3e7bce,
246-
0x5121ce64, 0x774fbe32, 0xa8b6e37e, 0xc3293d46, 0x48de5369, 0x6413e680,
247-
0xa2ae0810, 0xdd6db224, 0x69852dfd, 0x09072166, 0xb39a460a, 0x6445c0dd,
248-
0x586cdecf, 0x1c20c8ae, 0x5bbef7dd, 0x1b588d40, 0xccd2017f, 0x6bb4e3bb,
249-
0xdda26a7e, 0x3a59ff45, 0x3e350a44, 0xbcb4cdd5, 0x72eacea8, 0xfa6484bb,
250-
0x8d6612ae, 0xbf3c6f47, 0xd29be463, 0x542f5d9e, 0xaec2771b, 0xf64e6370,
251-
0x740e0d8d, 0xe75b1357, 0xf8721671, 0xaf537d5d, 0x4040cb08, 0x4eb4e2cc,
252-
0x34d2466a, 0x0115af84, 0xe1b00428, 0x95983a1d, 0x06b89fb4, 0xce6ea048,
253-
0x6f3f3b82, 0x3520ab82, 0x011a1d4b, 0x277227f8, 0x611560b1, 0xe7933fdc,
254-
0xbb3a792b, 0x344525bd, 0xa08839e1, 0x51ce794b, 0x2f32c9b7, 0xa01fbac9,
255-
0xe01cc87e, 0xbcc7d1f6, 0xcf0111c3, 0xa1e8aac7, 0x1a908749, 0xd44fbd9a,
256-
0xd0dadecb, 0xd50ada38, 0x0339c32a, 0xc6913667, 0x8df9317c, 0xe0b12b4f,
257-
0xf79e59b7, 0x43f5bb3a, 0xf2d519ff, 0x27d9459c, 0xbf97222c, 0x15e6fc2a,
258-
0x0f91fc71, 0x9b941525, 0xfae59361, 0xceb69ceb, 0xc2a86459, 0x12baa8d1,
259-
0xb6c1075e, 0xe3056a0c, 0x10d25065, 0xcb03a442, 0xe0ec6e0e, 0x1698db3b,
260-
0x4c98a0be, 0x3278e964, 0x9f1f9532, 0xe0d392df, 0xd3a0342b, 0x8971f21e,
261-
0x1b0a7441, 0x4ba3348c, 0xc5be7120, 0xc37632d8, 0xdf359f8d, 0x9b992f2e,
262-
0xe60b6f47, 0x0fe3f11d, 0xe54cda54, 0x1edad891, 0xce6279cf, 0xcd3e7e6f,
263-
0x1618b166, 0xfd2c1d05, 0x848fd2c5, 0xf6fb2299, 0xf523f357, 0xa6327623,
264-
0x93a83531, 0x56cccd02, 0xacf08162, 0x5a75ebb5, 0x6e163697, 0x88d273cc,
265-
0xde966292, 0x81b949d0, 0x4c50901b, 0x71c65614, 0xe6c6c7bd, 0x327a140a,
266-
0x45e1d006, 0xc3f27b9a, 0xc9aa53fd, 0x62a80f00, 0xbb25bfe2, 0x35bdd2f6,
267-
0x71126905, 0xb2040222, 0xb6cbcf7c, 0xcd769c2b, 0x53113ec0, 0x1640e3d3,
268-
0x38abbd60, 0x2547adf0, 0xba38209c, 0xf746ce76, 0x77afa1c5, 0x20756060,
269-
0x85cbfe4e, 0x8ae88dd8, 0x7aaaf9b0, 0x4cf9aa7e, 0x1948c25c, 0x02fb8a8c,
270-
0x01c36ae4, 0xd6ebe1f9, 0x90d4f869, 0xa65cdea0, 0x3f09252d, 0xc208e69f,
271-
0xb74e6132, 0xce77e25b, 0x578fdfe3, 0x3ac372e6,
272-
],
273-
]
229+
0x3a39ce37, 0xd3faf5cf, 0xabc27737, 0x5ac52d1b, 0x5cb0679e, 0x4fa33742,
230+
0xd3822740, 0x99bc9bbe, 0xd5118e9d, 0xbf0f7315, 0xd62d1c7e, 0xc700c47b,
231+
0xb78c1b6b, 0x21a19045, 0xb26eb1be, 0x6a366eb4, 0x5748ab2f, 0xbc946e79,
232+
0xc6a376d2, 0x6549c2c8, 0x530ff8ee, 0x468dde7d, 0xd5730a1d, 0x4cd04dc6,
233+
0x2939bbdb, 0xa9ba4650, 0xac9526e8, 0xbe5ee304, 0xa1fad5f0, 0x6a2d519a,
234+
0x63ef8ce2, 0x9a86ee22, 0xc089c2b8, 0x43242ef6, 0xa51e03aa, 0x9cf2d0a4,
235+
0x83c061ba, 0x9be96a4d, 0x8fe51550, 0xba645bd6, 0x2826a2f9, 0xa73a3ae1,
236+
0x4ba99586, 0xef5562e9, 0xc72fefd3, 0xf752f7da, 0x3f046f69, 0x77fa0a59,
237+
0x80e4a915, 0x87b08601, 0x9b09e6ad, 0x3b3ee593, 0xe990fd5a, 0x9e34d797,
238+
0x2cf0b7d9, 0x022b8b51, 0x96d5ac3a, 0x017da67d, 0xd1cf3ed6, 0x7c7d2d28,
239+
0x1f9f25cf, 0xadf2b89b, 0x5ad6b472, 0x5a88f54c, 0xe029ac71, 0xe019a5e6,
240+
0x47b0acfd, 0xed93fa9b, 0xe8d3c48d, 0x283b57cc, 0xf8d56629, 0x79132e28,
241+
0x785f0191, 0xed756055, 0xf7960e44, 0xe3d35e8c, 0x15056dd4, 0x88f46dba,
242+
0x03a16125, 0x0564f0bd, 0xc3eb9e15, 0x3c9057a2, 0x97271aec, 0xa93a072a,
243+
0x1b3f6d9b, 0x1e6321f5, 0xf59c66fb, 0x26dcf319, 0x7533d928, 0xb155fdf5,
244+
0x03563482, 0x8aba3cbb, 0x28517711, 0xc20ad9f8, 0xabcc5167, 0xccad925f,
245+
0x4de81751, 0x3830dc8e, 0x379d5862, 0x9320f991, 0xea7a90c2, 0xfb3e7bce,
246+
0x5121ce64, 0x774fbe32, 0xa8b6e37e, 0xc3293d46, 0x48de5369, 0x6413e680,
247+
0xa2ae0810, 0xdd6db224, 0x69852dfd, 0x09072166, 0xb39a460a, 0x6445c0dd,
248+
0x586cdecf, 0x1c20c8ae, 0x5bbef7dd, 0x1b588d40, 0xccd2017f, 0x6bb4e3bb,
249+
0xdda26a7e, 0x3a59ff45, 0x3e350a44, 0xbcb4cdd5, 0x72eacea8, 0xfa6484bb,
250+
0x8d6612ae, 0xbf3c6f47, 0xd29be463, 0x542f5d9e, 0xaec2771b, 0xf64e6370,
251+
0x740e0d8d, 0xe75b1357, 0xf8721671, 0xaf537d5d, 0x4040cb08, 0x4eb4e2cc,
252+
0x34d2466a, 0x0115af84, 0xe1b00428, 0x95983a1d, 0x06b89fb4, 0xce6ea048,
253+
0x6f3f3b82, 0x3520ab82, 0x011a1d4b, 0x277227f8, 0x611560b1, 0xe7933fdc,
254+
0xbb3a792b, 0x344525bd, 0xa08839e1, 0x51ce794b, 0x2f32c9b7, 0xa01fbac9,
255+
0xe01cc87e, 0xbcc7d1f6, 0xcf0111c3, 0xa1e8aac7, 0x1a908749, 0xd44fbd9a,
256+
0xd0dadecb, 0xd50ada38, 0x0339c32a, 0xc6913667, 0x8df9317c, 0xe0b12b4f,
257+
0xf79e59b7, 0x43f5bb3a, 0xf2d519ff, 0x27d9459c, 0xbf97222c, 0x15e6fc2a,
258+
0x0f91fc71, 0x9b941525, 0xfae59361, 0xceb69ceb, 0xc2a86459, 0x12baa8d1,
259+
0xb6c1075e, 0xe3056a0c, 0x10d25065, 0xcb03a442, 0xe0ec6e0e, 0x1698db3b,
260+
0x4c98a0be, 0x3278e964, 0x9f1f9532, 0xe0d392df, 0xd3a0342b, 0x8971f21e,
261+
0x1b0a7441, 0x4ba3348c, 0xc5be7120, 0xc37632d8, 0xdf359f8d, 0x9b992f2e,
262+
0xe60b6f47, 0x0fe3f11d, 0xe54cda54, 0x1edad891, 0xce6279cf, 0xcd3e7e6f,
263+
0x1618b166, 0xfd2c1d05, 0x848fd2c5, 0xf6fb2299, 0xf523f357, 0xa6327623,
264+
0x93a83531, 0x56cccd02, 0xacf08162, 0x5a75ebb5, 0x6e163697, 0x88d273cc,
265+
0xde966292, 0x81b949d0, 0x4c50901b, 0x71c65614, 0xe6c6c7bd, 0x327a140a,
266+
0x45e1d006, 0xc3f27b9a, 0xc9aa53fd, 0x62a80f00, 0xbb25bfe2, 0x35bdd2f6,
267+
0x71126905, 0xb2040222, 0xb6cbcf7c, 0xcd769c2b, 0x53113ec0, 0x1640e3d3,
268+
0x38abbd60, 0x2547adf0, 0xba38209c, 0xf746ce76, 0x77afa1c5, 0x20756060,
269+
0x85cbfe4e, 0x8ae88dd8, 0x7aaaf9b0, 0x4cf9aa7e, 0x1948c25c, 0x02fb8a8c,
270+
0x01c36ae4, 0xd6ebe1f9, 0x90d4f869, 0xa65cdea0, 0x3f09252d, 0xc208e69f,
271+
0xb74e6132, 0xce77e25b, 0x578fdfe3, 0x3ac372e6,
272+
)
274273
end

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