From 5c851e3d013eaa31102cc0ebb4bf0197b52f29dc Mon Sep 17 00:00:00 2001 From: Vincent Hanquez Date: Sat, 18 Apr 2015 21:38:04 +0100 Subject: [PATCH 1/8] [ED25519] add ed25519-donna C files --- README.md | 1 + cbits/ed25519/curve25519-donna-64bit.h | 413 ++++++++++++++++++ cbits/ed25519/curve25519-donna-helpers.h | 67 +++ cbits/ed25519/ed25519-donna-64bit-tables.h | 53 +++ cbits/ed25519/ed25519-donna-64bit-x86.h | 351 +++++++++++++++ cbits/ed25519/ed25519-donna-basepoint-table.h | 259 +++++++++++ cbits/ed25519/ed25519-donna-batchverify.h | 275 ++++++++++++ cbits/ed25519/ed25519-donna-impl-base.h | 364 +++++++++++++++ .../ed25519/ed25519-donna-portable-identify.h | 103 +++++ cbits/ed25519/ed25519-donna-portable.h | 138 ++++++ cbits/ed25519/ed25519-donna.h | 115 +++++ cbits/ed25519/ed25519-hash.h | 26 ++ cbits/ed25519/ed25519-randombytes.h | 4 + cbits/ed25519/ed25519.c | 143 ++++++ cbits/ed25519/ed25519.h | 30 ++ cbits/ed25519/modm-donna-64bit.h | 361 +++++++++++++++ cryptonite.cabal | 3 +- 17 files changed, 2705 insertions(+), 1 deletion(-) create mode 100644 cbits/ed25519/curve25519-donna-64bit.h create mode 100644 cbits/ed25519/curve25519-donna-helpers.h create mode 100644 cbits/ed25519/ed25519-donna-64bit-tables.h create mode 100644 cbits/ed25519/ed25519-donna-64bit-x86.h create mode 100644 cbits/ed25519/ed25519-donna-basepoint-table.h create mode 100644 cbits/ed25519/ed25519-donna-batchverify.h create mode 100644 cbits/ed25519/ed25519-donna-impl-base.h create mode 100644 cbits/ed25519/ed25519-donna-portable-identify.h create mode 100644 cbits/ed25519/ed25519-donna-portable.h create mode 100644 cbits/ed25519/ed25519-donna.h create mode 100644 cbits/ed25519/ed25519-hash.h create mode 100644 cbits/ed25519/ed25519-randombytes.h create mode 100644 cbits/ed25519/ed25519.c create mode 100644 cbits/ed25519/ed25519.h create mode 100644 cbits/ed25519/modm-donna-64bit.h diff --git a/README.md b/README.md index 7c67088..b12ed8f 100644 --- a/README.md +++ b/README.md @@ -60,6 +60,7 @@ Links * [Scrypt](http://www.tarsnap.com/scrypt.html) * [Curve25519](http://cr.yp.to/ecdh.html) +* [Ed25519](http://ed25519.cr.yp.to/papers.html) TODO ---- diff --git a/cbits/ed25519/curve25519-donna-64bit.h b/cbits/ed25519/curve25519-donna-64bit.h new file mode 100644 index 0000000..2941d1b --- /dev/null +++ b/cbits/ed25519/curve25519-donna-64bit.h @@ -0,0 +1,413 @@ +/* + Public domain by Adam Langley & + Andrew M. + See: https://github.com/floodyberry/curve25519-donna + + 64bit integer curve25519 implementation +*/ + +typedef uint64_t bignum25519[5]; + +static const uint64_t reduce_mask_40 = ((uint64_t)1 << 40) - 1; +static const uint64_t reduce_mask_51 = ((uint64_t)1 << 51) - 1; +static const uint64_t reduce_mask_56 = ((uint64_t)1 << 56) - 1; + +/* out = in */ +DONNA_INLINE static void +curve25519_copy(bignum25519 out, const bignum25519 in) { + out[0] = in[0]; + out[1] = in[1]; + out[2] = in[2]; + out[3] = in[3]; + out[4] = in[4]; +} + +/* out = a + b */ +DONNA_INLINE static void +curve25519_add(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; +} + +/* out = a + b, where a and/or b are the result of a basic op (add,sub) */ +DONNA_INLINE static void +curve25519_add_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; +} + +DONNA_INLINE static void +curve25519_add_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + uint64_t c; + out[0] = a[0] + b[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51; + out[1] = a[1] + b[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51; + out[2] = a[2] + b[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51; + out[3] = a[3] + b[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51; + out[4] = a[4] + b[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51; + out[0] += c * 19; +} + +/* multiples of p */ +static const uint64_t twoP0 = 0x0fffffffffffda; +static const uint64_t twoP1234 = 0x0ffffffffffffe; +static const uint64_t fourP0 = 0x1fffffffffffb4; +static const uint64_t fourP1234 = 0x1ffffffffffffc; + +/* out = a - b */ +DONNA_INLINE static void +curve25519_sub(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + twoP0 - b[0]; + out[1] = a[1] + twoP1234 - b[1]; + out[2] = a[2] + twoP1234 - b[2]; + out[3] = a[3] + twoP1234 - b[3]; + out[4] = a[4] + twoP1234 - b[4]; +} + +/* out = a - b, where a and/or b are the result of a basic op (add,sub) */ +DONNA_INLINE static void +curve25519_sub_after_basic(bignum25519 out, const bignum25519 a, const bignum25519 b) { + out[0] = a[0] + fourP0 - b[0]; + out[1] = a[1] + fourP1234 - b[1]; + out[2] = a[2] + fourP1234 - b[2]; + out[3] = a[3] + fourP1234 - b[3]; + out[4] = a[4] + fourP1234 - b[4]; +} + +DONNA_INLINE static void +curve25519_sub_reduce(bignum25519 out, const bignum25519 a, const bignum25519 b) { + uint64_t c; + out[0] = a[0] + fourP0 - b[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51; + out[1] = a[1] + fourP1234 - b[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51; + out[2] = a[2] + fourP1234 - b[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51; + out[3] = a[3] + fourP1234 - b[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51; + out[4] = a[4] + fourP1234 - b[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51; + out[0] += c * 19; +} + +/* out = -a */ +DONNA_INLINE static void +curve25519_neg(bignum25519 out, const bignum25519 a) { + uint64_t c; + out[0] = twoP0 - a[0] ; c = (out[0] >> 51); out[0] &= reduce_mask_51; + out[1] = twoP1234 - a[1] + c; c = (out[1] >> 51); out[1] &= reduce_mask_51; + out[2] = twoP1234 - a[2] + c; c = (out[2] >> 51); out[2] &= reduce_mask_51; + out[3] = twoP1234 - a[3] + c; c = (out[3] >> 51); out[3] &= reduce_mask_51; + out[4] = twoP1234 - a[4] + c; c = (out[4] >> 51); out[4] &= reduce_mask_51; + out[0] += c * 19; +} + +/* out = a * b */ +DONNA_INLINE static void +curve25519_mul(bignum25519 out, const bignum25519 in2, const bignum25519 in) { +#if !defined(HAVE_NATIVE_UINT128) + uint128_t mul; +#endif + uint128_t t[5]; + uint64_t r0,r1,r2,r3,r4,s0,s1,s2,s3,s4,c; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + + s0 = in2[0]; + s1 = in2[1]; + s2 = in2[2]; + s3 = in2[3]; + s4 = in2[4]; + +#if defined(HAVE_NATIVE_UINT128) + t[0] = ((uint128_t) r0) * s0; + t[1] = ((uint128_t) r0) * s1 + ((uint128_t) r1) * s0; + t[2] = ((uint128_t) r0) * s2 + ((uint128_t) r2) * s0 + ((uint128_t) r1) * s1; + t[3] = ((uint128_t) r0) * s3 + ((uint128_t) r3) * s0 + ((uint128_t) r1) * s2 + ((uint128_t) r2) * s1; + t[4] = ((uint128_t) r0) * s4 + ((uint128_t) r4) * s0 + ((uint128_t) r3) * s1 + ((uint128_t) r1) * s3 + ((uint128_t) r2) * s2; +#else + mul64x64_128(t[0], r0, s0) + mul64x64_128(t[1], r0, s1) mul64x64_128(mul, r1, s0) add128(t[1], mul) + mul64x64_128(t[2], r0, s2) mul64x64_128(mul, r2, s0) add128(t[2], mul) mul64x64_128(mul, r1, s1) add128(t[2], mul) + mul64x64_128(t[3], r0, s3) mul64x64_128(mul, r3, s0) add128(t[3], mul) mul64x64_128(mul, r1, s2) add128(t[3], mul) mul64x64_128(mul, r2, s1) add128(t[3], mul) + mul64x64_128(t[4], r0, s4) mul64x64_128(mul, r4, s0) add128(t[4], mul) mul64x64_128(mul, r3, s1) add128(t[4], mul) mul64x64_128(mul, r1, s3) add128(t[4], mul) mul64x64_128(mul, r2, s2) add128(t[4], mul) +#endif + + r1 *= 19; + r2 *= 19; + r3 *= 19; + r4 *= 19; + +#if defined(HAVE_NATIVE_UINT128) + t[0] += ((uint128_t) r4) * s1 + ((uint128_t) r1) * s4 + ((uint128_t) r2) * s3 + ((uint128_t) r3) * s2; + t[1] += ((uint128_t) r4) * s2 + ((uint128_t) r2) * s4 + ((uint128_t) r3) * s3; + t[2] += ((uint128_t) r4) * s3 + ((uint128_t) r3) * s4; + t[3] += ((uint128_t) r4) * s4; +#else + mul64x64_128(mul, r4, s1) add128(t[0], mul) mul64x64_128(mul, r1, s4) add128(t[0], mul) mul64x64_128(mul, r2, s3) add128(t[0], mul) mul64x64_128(mul, r3, s2) add128(t[0], mul) + mul64x64_128(mul, r4, s2) add128(t[1], mul) mul64x64_128(mul, r2, s4) add128(t[1], mul) mul64x64_128(mul, r3, s3) add128(t[1], mul) + mul64x64_128(mul, r4, s3) add128(t[2], mul) mul64x64_128(mul, r3, s4) add128(t[2], mul) + mul64x64_128(mul, r4, s4) add128(t[3], mul) +#endif + + + r0 = lo128(t[0]) & reduce_mask_51; shr128(c, t[0], 51); + add128_64(t[1], c) r1 = lo128(t[1]) & reduce_mask_51; shr128(c, t[1], 51); + add128_64(t[2], c) r2 = lo128(t[2]) & reduce_mask_51; shr128(c, t[2], 51); + add128_64(t[3], c) r3 = lo128(t[3]) & reduce_mask_51; shr128(c, t[3], 51); + add128_64(t[4], c) r4 = lo128(t[4]) & reduce_mask_51; shr128(c, t[4], 51); + r0 += c * 19; c = r0 >> 51; r0 = r0 & reduce_mask_51; + r1 += c; + + out[0] = r0; + out[1] = r1; + out[2] = r2; + out[3] = r3; + out[4] = r4; +} + +DONNA_NOINLINE static void +curve25519_mul_noinline(bignum25519 out, const bignum25519 in2, const bignum25519 in) { + curve25519_mul(out, in2, in); +} + +/* out = in^(2 * count) */ +DONNA_NOINLINE static void +curve25519_square_times(bignum25519 out, const bignum25519 in, uint64_t count) { +#if !defined(HAVE_NATIVE_UINT128) + uint128_t mul; +#endif + uint128_t t[5]; + uint64_t r0,r1,r2,r3,r4,c; + uint64_t d0,d1,d2,d4,d419; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + + do { + d0 = r0 * 2; + d1 = r1 * 2; + d2 = r2 * 2 * 19; + d419 = r4 * 19; + d4 = d419 * 2; + +#if defined(HAVE_NATIVE_UINT128) + t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 + (((uint128_t) d2) * (r3 )); + t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 + (((uint128_t) r3) * (r3 * 19)); + t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 + (((uint128_t) d4) * (r3 )); + t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 + (((uint128_t) r4) * (d419 )); + t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 + (((uint128_t) r2) * (r2 )); +#else + mul64x64_128(t[0], r0, r0) mul64x64_128(mul, d4, r1) add128(t[0], mul) mul64x64_128(mul, d2, r3) add128(t[0], mul) + mul64x64_128(t[1], d0, r1) mul64x64_128(mul, d4, r2) add128(t[1], mul) mul64x64_128(mul, r3, r3 * 19) add128(t[1], mul) + mul64x64_128(t[2], d0, r2) mul64x64_128(mul, r1, r1) add128(t[2], mul) mul64x64_128(mul, d4, r3) add128(t[2], mul) + mul64x64_128(t[3], d0, r3) mul64x64_128(mul, d1, r2) add128(t[3], mul) mul64x64_128(mul, r4, d419) add128(t[3], mul) + mul64x64_128(t[4], d0, r4) mul64x64_128(mul, d1, r3) add128(t[4], mul) mul64x64_128(mul, r2, r2) add128(t[4], mul) +#endif + + r0 = lo128(t[0]) & reduce_mask_51; + r1 = lo128(t[1]) & reduce_mask_51; shl128(c, t[0], 13); r1 += c; + r2 = lo128(t[2]) & reduce_mask_51; shl128(c, t[1], 13); r2 += c; + r3 = lo128(t[3]) & reduce_mask_51; shl128(c, t[2], 13); r3 += c; + r4 = lo128(t[4]) & reduce_mask_51; shl128(c, t[3], 13); r4 += c; + shl128(c, t[4], 13); r0 += c * 19; + c = r0 >> 51; r0 &= reduce_mask_51; + r1 += c ; c = r1 >> 51; r1 &= reduce_mask_51; + r2 += c ; c = r2 >> 51; r2 &= reduce_mask_51; + r3 += c ; c = r3 >> 51; r3 &= reduce_mask_51; + r4 += c ; c = r4 >> 51; r4 &= reduce_mask_51; + r0 += c * 19; + } while(--count); + + out[0] = r0; + out[1] = r1; + out[2] = r2; + out[3] = r3; + out[4] = r4; +} + +DONNA_INLINE static void +curve25519_square(bignum25519 out, const bignum25519 in) { +#if !defined(HAVE_NATIVE_UINT128) + uint128_t mul; +#endif + uint128_t t[5]; + uint64_t r0,r1,r2,r3,r4,c; + uint64_t d0,d1,d2,d4,d419; + + r0 = in[0]; + r1 = in[1]; + r2 = in[2]; + r3 = in[3]; + r4 = in[4]; + + d0 = r0 * 2; + d1 = r1 * 2; + d2 = r2 * 2 * 19; + d419 = r4 * 19; + d4 = d419 * 2; + +#if defined(HAVE_NATIVE_UINT128) + t[0] = ((uint128_t) r0) * r0 + ((uint128_t) d4) * r1 + (((uint128_t) d2) * (r3 )); + t[1] = ((uint128_t) d0) * r1 + ((uint128_t) d4) * r2 + (((uint128_t) r3) * (r3 * 19)); + t[2] = ((uint128_t) d0) * r2 + ((uint128_t) r1) * r1 + (((uint128_t) d4) * (r3 )); + t[3] = ((uint128_t) d0) * r3 + ((uint128_t) d1) * r2 + (((uint128_t) r4) * (d419 )); + t[4] = ((uint128_t) d0) * r4 + ((uint128_t) d1) * r3 + (((uint128_t) r2) * (r2 )); +#else + mul64x64_128(t[0], r0, r0) mul64x64_128(mul, d4, r1) add128(t[0], mul) mul64x64_128(mul, d2, r3) add128(t[0], mul) + mul64x64_128(t[1], d0, r1) mul64x64_128(mul, d4, r2) add128(t[1], mul) mul64x64_128(mul, r3, r3 * 19) add128(t[1], mul) + mul64x64_128(t[2], d0, r2) mul64x64_128(mul, r1, r1) add128(t[2], mul) mul64x64_128(mul, d4, r3) add128(t[2], mul) + mul64x64_128(t[3], d0, r3) mul64x64_128(mul, d1, r2) add128(t[3], mul) mul64x64_128(mul, r4, d419) add128(t[3], mul) + mul64x64_128(t[4], d0, r4) mul64x64_128(mul, d1, r3) add128(t[4], mul) mul64x64_128(mul, r2, r2) add128(t[4], mul) +#endif + + r0 = lo128(t[0]) & reduce_mask_51; shr128(c, t[0], 51); + add128_64(t[1], c) r1 = lo128(t[1]) & reduce_mask_51; shr128(c, t[1], 51); + add128_64(t[2], c) r2 = lo128(t[2]) & reduce_mask_51; shr128(c, t[2], 51); + add128_64(t[3], c) r3 = lo128(t[3]) & reduce_mask_51; shr128(c, t[3], 51); + add128_64(t[4], c) r4 = lo128(t[4]) & reduce_mask_51; shr128(c, t[4], 51); + r0 += c * 19; c = r0 >> 51; r0 = r0 & reduce_mask_51; + r1 += c; + + out[0] = r0; + out[1] = r1; + out[2] = r2; + out[3] = r3; + out[4] = r4; +} + +/* Take a little-endian, 32-byte number and expand it into polynomial form */ +DONNA_INLINE static void +curve25519_expand(bignum25519 out, const unsigned char *in) { + static const union { uint8_t b[2]; uint16_t s; } endian_check = {{1,0}}; + uint64_t x0,x1,x2,x3; + + if (endian_check.s == 1) { + x0 = *(uint64_t *)(in + 0); + x1 = *(uint64_t *)(in + 8); + x2 = *(uint64_t *)(in + 16); + x3 = *(uint64_t *)(in + 24); + } else { + #define F(s) \ + ((((uint64_t)in[s + 0]) ) | \ + (((uint64_t)in[s + 1]) << 8) | \ + (((uint64_t)in[s + 2]) << 16) | \ + (((uint64_t)in[s + 3]) << 24) | \ + (((uint64_t)in[s + 4]) << 32) | \ + (((uint64_t)in[s + 5]) << 40) | \ + (((uint64_t)in[s + 6]) << 48) | \ + (((uint64_t)in[s + 7]) << 56)) + + x0 = F(0); + x1 = F(8); + x2 = F(16); + x3 = F(24); + } + + out[0] = x0 & reduce_mask_51; x0 = (x0 >> 51) | (x1 << 13); + out[1] = x0 & reduce_mask_51; x1 = (x1 >> 38) | (x2 << 26); + out[2] = x1 & reduce_mask_51; x2 = (x2 >> 25) | (x3 << 39); + out[3] = x2 & reduce_mask_51; x3 = (x3 >> 12); + out[4] = x3 & reduce_mask_51; +} + +/* Take a fully reduced polynomial form number and contract it into a + * little-endian, 32-byte array + */ +DONNA_INLINE static void +curve25519_contract(unsigned char *out, const bignum25519 input) { + uint64_t t[5]; + uint64_t f, i; + + t[0] = input[0]; + t[1] = input[1]; + t[2] = input[2]; + t[3] = input[3]; + t[4] = input[4]; + + #define curve25519_contract_carry() \ + t[1] += t[0] >> 51; t[0] &= reduce_mask_51; \ + t[2] += t[1] >> 51; t[1] &= reduce_mask_51; \ + t[3] += t[2] >> 51; t[2] &= reduce_mask_51; \ + t[4] += t[3] >> 51; t[3] &= reduce_mask_51; + + #define curve25519_contract_carry_full() curve25519_contract_carry() \ + t[0] += 19 * (t[4] >> 51); t[4] &= reduce_mask_51; + + #define curve25519_contract_carry_final() curve25519_contract_carry() \ + t[4] &= reduce_mask_51; + + curve25519_contract_carry_full() + curve25519_contract_carry_full() + + /* now t is between 0 and 2^255-1, properly carried. */ + /* case 1: between 0 and 2^255-20. case 2: between 2^255-19 and 2^255-1. */ + t[0] += 19; + curve25519_contract_carry_full() + + /* now between 19 and 2^255-1 in both cases, and offset by 19. */ + t[0] += (reduce_mask_51 + 1) - 19; + t[1] += (reduce_mask_51 + 1) - 1; + t[2] += (reduce_mask_51 + 1) - 1; + t[3] += (reduce_mask_51 + 1) - 1; + t[4] += (reduce_mask_51 + 1) - 1; + + /* now between 2^255 and 2^256-20, and offset by 2^255. */ + curve25519_contract_carry_final() + + #define write51full(n,shift) \ + f = ((t[n] >> shift) | (t[n+1] << (51 - shift))); \ + for (i = 0; i < 8; i++, f >>= 8) *out++ = (unsigned char)f; + #define write51(n) write51full(n,13*n) + write51(0) + write51(1) + write51(2) + write51(3) +} + +#if !defined(ED25519_GCC_64BIT_CHOOSE) + +/* out = (flag) ? in : out */ +DONNA_INLINE static void +curve25519_move_conditional_bytes(uint8_t out[96], const uint8_t in[96], uint64_t flag) { + const uint64_t nb = flag - 1, b = ~nb; + const uint64_t *inq = (const uint64_t *)in; + uint64_t *outq = (uint64_t *)out; + outq[0] = (outq[0] & nb) | (inq[0] & b); + outq[1] = (outq[1] & nb) | (inq[1] & b); + outq[2] = (outq[2] & nb) | (inq[2] & b); + outq[3] = (outq[3] & nb) | (inq[3] & b); + outq[4] = (outq[4] & nb) | (inq[4] & b); + outq[5] = (outq[5] & nb) | (inq[5] & b); + outq[6] = (outq[6] & nb) | (inq[6] & b); + outq[7] = (outq[7] & nb) | (inq[7] & b); + outq[8] = (outq[8] & nb) | (inq[8] & b); + outq[9] = (outq[9] & nb) | (inq[9] & b); + outq[10] = (outq[10] & nb) | (inq[10] & b); + outq[11] = (outq[11] & nb) | (inq[11] & b); +} + +/* if (iswap) swap(a, b) */ +DONNA_INLINE static void +curve25519_swap_conditional(bignum25519 a, bignum25519 b, uint64_t iswap) { + const uint64_t swap = (uint64_t)(-(int64_t)iswap); + uint64_t x0,x1,x2,x3,x4; + + x0 = swap & (a[0] ^ b[0]); a[0] ^= x0; b[0] ^= x0; + x1 = swap & (a[1] ^ b[1]); a[1] ^= x1; b[1] ^= x1; + x2 = swap & (a[2] ^ b[2]); a[2] ^= x2; b[2] ^= x2; + x3 = swap & (a[3] ^ b[3]); a[3] ^= x3; b[3] ^= x3; + x4 = swap & (a[4] ^ b[4]); a[4] ^= x4; b[4] ^= x4; +} + +#endif /* ED25519_GCC_64BIT_CHOOSE */ + +#define ED25519_64BIT_TABLES + diff --git a/cbits/ed25519/curve25519-donna-helpers.h b/cbits/ed25519/curve25519-donna-helpers.h new file mode 100644 index 0000000..e4058ff --- /dev/null +++ b/cbits/ed25519/curve25519-donna-helpers.h @@ -0,0 +1,67 @@ +/* + Public domain by Andrew M. + See: https://github.com/floodyberry/curve25519-donna + + Curve25519 implementation agnostic helpers +*/ + +/* + * In: b = 2^5 - 2^0 + * Out: b = 2^250 - 2^0 + */ +static void +curve25519_pow_two5mtwo0_two250mtwo0(bignum25519 b) { + bignum25519 ALIGN(16) t0,c; + + /* 2^5 - 2^0 */ /* b */ + /* 2^10 - 2^5 */ curve25519_square_times(t0, b, 5); + /* 2^10 - 2^0 */ curve25519_mul_noinline(b, t0, b); + /* 2^20 - 2^10 */ curve25519_square_times(t0, b, 10); + /* 2^20 - 2^0 */ curve25519_mul_noinline(c, t0, b); + /* 2^40 - 2^20 */ curve25519_square_times(t0, c, 20); + /* 2^40 - 2^0 */ curve25519_mul_noinline(t0, t0, c); + /* 2^50 - 2^10 */ curve25519_square_times(t0, t0, 10); + /* 2^50 - 2^0 */ curve25519_mul_noinline(b, t0, b); + /* 2^100 - 2^50 */ curve25519_square_times(t0, b, 50); + /* 2^100 - 2^0 */ curve25519_mul_noinline(c, t0, b); + /* 2^200 - 2^100 */ curve25519_square_times(t0, c, 100); + /* 2^200 - 2^0 */ curve25519_mul_noinline(t0, t0, c); + /* 2^250 - 2^50 */ curve25519_square_times(t0, t0, 50); + /* 2^250 - 2^0 */ curve25519_mul_noinline(b, t0, b); +} + +/* + * z^(p - 2) = z(2^255 - 21) + */ +static void +curve25519_recip(bignum25519 out, const bignum25519 z) { + bignum25519 ALIGN(16) a,t0,b; + + /* 2 */ curve25519_square_times(a, z, 1); /* a = 2 */ + /* 8 */ curve25519_square_times(t0, a, 2); + /* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */ + /* 11 */ curve25519_mul_noinline(a, b, a); /* a = 11 */ + /* 22 */ curve25519_square_times(t0, a, 1); + /* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b); + /* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b); + /* 2^255 - 2^5 */ curve25519_square_times(b, b, 5); + /* 2^255 - 21 */ curve25519_mul_noinline(out, b, a); +} + +/* + * z^((p-5)/8) = z^(2^252 - 3) + */ +static void +curve25519_pow_two252m3(bignum25519 two252m3, const bignum25519 z) { + bignum25519 ALIGN(16) b,c,t0; + + /* 2 */ curve25519_square_times(c, z, 1); /* c = 2 */ + /* 8 */ curve25519_square_times(t0, c, 2); /* t0 = 8 */ + /* 9 */ curve25519_mul_noinline(b, t0, z); /* b = 9 */ + /* 11 */ curve25519_mul_noinline(c, b, c); /* c = 11 */ + /* 22 */ curve25519_square_times(t0, c, 1); + /* 2^5 - 2^0 = 31 */ curve25519_mul_noinline(b, t0, b); + /* 2^250 - 2^0 */ curve25519_pow_two5mtwo0_two250mtwo0(b); + /* 2^252 - 2^2 */ curve25519_square_times(b, b, 2); + /* 2^252 - 3 */ curve25519_mul_noinline(two252m3, b, z); +} diff --git a/cbits/ed25519/ed25519-donna-64bit-tables.h b/cbits/ed25519/ed25519-donna-64bit-tables.h new file mode 100644 index 0000000..4a6ff9e --- /dev/null +++ b/cbits/ed25519/ed25519-donna-64bit-tables.h @@ -0,0 +1,53 @@ +static const ge25519 ge25519_basepoint = { + {0x00062d608f25d51a,0x000412a4b4f6592a,0x00075b7171a4b31d,0x0001ff60527118fe,0x000216936d3cd6e5}, + {0x0006666666666658,0x0004cccccccccccc,0x0001999999999999,0x0003333333333333,0x0006666666666666}, + {0x0000000000000001,0x0000000000000000,0x0000000000000000,0x0000000000000000,0x0000000000000000}, + {0x00068ab3a5b7dda3,0x00000eea2a5eadbb,0x0002af8df483c27e,0x000332b375274732,0x00067875f0fd78b7} +}; + +static const bignum25519 ge25519_ecd = { + 0x00034dca135978a3,0x0001a8283b156ebd,0x0005e7a26001c029,0x000739c663a03cbb,0x00052036cee2b6ff +}; + +static const bignum25519 ge25519_ec2d = { + 0x00069b9426b2f159,0x00035050762add7a,0x0003cf44c0038052,0x0006738cc7407977,0x0002406d9dc56dff +}; + +static const bignum25519 ge25519_sqrtneg1 = { + 0x00061b274a0ea0b0,0x0000d5a5fc8f189d,0x0007ef5e9cbd0c60,0x00078595a6804c9e,0x0002b8324804fc1d +}; + +static const ge25519_niels ge25519_niels_sliding_multiples[32] = { + {{0x00003905d740913e,0x0000ba2817d673a2,0x00023e2827f4e67c,0x000133d2e0c21a34,0x00044fd2f9298f81},{0x000493c6f58c3b85,0x0000df7181c325f7,0x0000f50b0b3e4cb7,0x0005329385a44c32,0x00007cf9d3a33d4b},{0x00011205877aaa68,0x000479955893d579,0x00050d66309b67a0,0x0002d42d0dbee5ee,0x0006f117b689f0c6}}, + {{0x00011fe8a4fcd265,0x0007bcb8374faacc,0x00052f5af4ef4d4f,0x0005314098f98d10,0x0002ab91587555bd},{0x0005b0a84cee9730,0x00061d10c97155e4,0x0004059cc8096a10,0x00047a608da8014f,0x0007a164e1b9a80f},{0x0006933f0dd0d889,0x00044386bb4c4295,0x0003cb6d3162508c,0x00026368b872a2c6,0x0005a2826af12b9b}}, + {{0x000182c3a447d6ba,0x00022964e536eff2,0x000192821f540053,0x0002f9f19e788e5c,0x000154a7e73eb1b5},{0x0002bc4408a5bb33,0x000078ebdda05442,0x0002ffb112354123,0x000375ee8df5862d,0x0002945ccf146e20},{0x0003dbf1812a8285,0x0000fa17ba3f9797,0x0006f69cb49c3820,0x00034d5a0db3858d,0x00043aabe696b3bb}}, + {{0x00072c9aaa3221b1,0x000267774474f74d,0x000064b0e9b28085,0x0003f04ef53b27c9,0x0001d6edd5d2e531},{0x00025cd0944ea3bf,0x00075673b81a4d63,0x000150b925d1c0d4,0x00013f38d9294114,0x000461bea69283c9},{0x00036dc801b8b3a2,0x0000e0a7d4935e30,0x0001deb7cecc0d7d,0x000053a94e20dd2c,0x0007a9fbb1c6a0f9}}, + {{0x0006217e039d8064,0x0006dea408337e6d,0x00057ac112628206,0x000647cb65e30473,0x00049c05a51fadc9},{0x0006678aa6a8632f,0x0005ea3788d8b365,0x00021bd6d6994279,0x0007ace75919e4e3,0x00034b9ed338add7},{0x0004e8bf9045af1b,0x000514e33a45e0d6,0x0007533c5b8bfe0f,0x000583557b7e14c9,0x00073c172021b008}}, + {{0x00075b0249864348,0x00052ee11070262b,0x000237ae54fb5acd,0x0003bfd1d03aaab5,0x00018ab598029d5c},{0x000700848a802ade,0x0001e04605c4e5f7,0x0005c0d01b9767fb,0x0007d7889f42388b,0x0004275aae2546d8},{0x00032cc5fd6089e9,0x000426505c949b05,0x00046a18880c7ad2,0x0004a4221888ccda,0x0003dc65522b53df}}, + {{0x0007013b327fbf93,0x0001336eeded6a0d,0x0002b565a2bbf3af,0x000253ce89591955,0x0000267882d17602},{0x0000c222a2007f6d,0x000356b79bdb77ee,0x00041ee81efe12ce,0x000120a9bd07097d,0x000234fd7eec346f},{0x0000a119732ea378,0x00063bf1ba8e2a6c,0x00069f94cc90df9a,0x000431d1779bfc48,0x000497ba6fdaa097}}, + {{0x0003cd86468ccf0b,0x00048553221ac081,0x0006c9464b4e0a6e,0x00075fba84180403,0x00043b5cd4218d05},{0x0006cc0313cfeaa0,0x0001a313848da499,0x0007cb534219230a,0x00039596dedefd60,0x00061e22917f12de},{0x0002762f9bd0b516,0x0001c6e7fbddcbb3,0x00075909c3ace2bd,0x00042101972d3ec9,0x000511d61210ae4d}}, + {{0x000386484420de87,0x0002d6b25db68102,0x000650b4962873c0,0x0004081cfd271394,0x00071a7fe6fe2482},{0x000676ef950e9d81,0x0001b81ae089f258,0x00063c4922951883,0x0002f1d54d9b3237,0x0006d325924ddb85},{0x000182b8a5c8c854,0x00073fcbe5406d8e,0x0005de3430cff451,0x000554b967ac8c41,0x0004746c4b6559ee}}, + {{0x000546c864741147,0x0003a1df99092690,0x0001ca8cc9f4d6bb,0x00036b7fc9cd3b03,0x000219663497db5e},{0x00077b3c6dc69a2b,0x0004edf13ec2fa6e,0x0004e85ad77beac8,0x0007dba2b28e7bda,0x0005c9a51de34fe9},{0x0000f1cf79f10e67,0x00043ccb0a2b7ea2,0x00005089dfff776a,0x0001dd84e1d38b88,0x0004804503c60822}}, + {{0x000021d23a36d175,0x0004fd3373c6476d,0x00020e291eeed02a,0x00062f2ecf2e7210,0x000771e098858de4},{0x00049ed02ca37fc7,0x000474c2b5957884,0x0005b8388e816683,0x0004b6c454b76be4,0x000553398a516506},{0x0002f5d278451edf,0x000730b133997342,0x0006965420eb6975,0x000308a3bfa516cf,0x0005a5ed1d68ff5a}}, + {{0x0005e0c558527359,0x0003395b73afd75c,0x000072afa4e4b970,0x00062214329e0f6d,0x000019b60135fefd},{0x0005122afe150e83,0x0004afc966bb0232,0x0001c478833c8268,0x00017839c3fc148f,0x00044acb897d8bf9},{0x000068145e134b83,0x0001e4860982c3cc,0x000068fb5f13d799,0x0007c9283744547e,0x000150c49fde6ad2}}, + {{0x0001863c9cdca868,0x0003770e295a1709,0x0000d85a3720fd13,0x0005e0ff1f71ab06,0x00078a6d7791e05f},{0x0003f29509471138,0x000729eeb4ca31cf,0x00069c22b575bfbc,0x0004910857bce212,0x0006b2b5a075bb99},{0x0007704b47a0b976,0x0002ae82e91aab17,0x00050bd6429806cd,0x00068055158fd8ea,0x000725c7ffc4ad55}}, + {{0x00002bf71cd098c0,0x00049dabcc6cd230,0x00040a6533f905b2,0x000573efac2eb8a4,0x0004cd54625f855f},{0x00026715d1cf99b2,0x0002205441a69c88,0x000448427dcd4b54,0x0001d191e88abdc5,0x000794cc9277cb1f},{0x0006c426c2ac5053,0x0005a65ece4b095e,0x0000c44086f26bb6,0x0007429568197885,0x0007008357b6fcc8}}, + {{0x00039fbb82584a34,0x00047a568f257a03,0x00014d88091ead91,0x0002145b18b1ce24,0x00013a92a3669d6d},{0x0000672738773f01,0x000752bf799f6171,0x0006b4a6dae33323,0x0007b54696ead1dc,0x00006ef7e9851ad0},{0x0003771cc0577de5,0x0003ca06bb8b9952,0x00000b81c5d50390,0x00043512340780ec,0x0003c296ddf8a2af}}, + {{0x00034d2ebb1f2541,0x0000e815b723ff9d,0x000286b416e25443,0x0000bdfe38d1bee8,0x0000a892c7007477},{0x000515f9d914a713,0x00073191ff2255d5,0x00054f5cc2a4bdef,0x0003dd57fc118bcf,0x0007a99d393490c7},{0x0002ed2436bda3e8,0x00002afd00f291ea,0x0000be7381dea321,0x0003e952d4b2b193,0x000286762d28302f}}, + {{0x00058e2bce2ef5bd,0x00068ce8f78c6f8a,0x0006ee26e39261b2,0x00033d0aa50bcf9d,0x0007686f2a3d6f17},{0x000036093ce35b25,0x0003b64d7552e9cf,0x00071ee0fe0b8460,0x00069d0660c969e5,0x00032f1da046a9d9},{0x000512a66d597c6a,0x0000609a70a57551,0x000026c08a3c464c,0x0004531fc8ee39e1,0x000561305f8a9ad2}}, + {{0x0002cc28e7b0c0d5,0x00077b60eb8a6ce4,0x0004042985c277a6,0x000636657b46d3eb,0x000030a1aef2c57c},{0x0004978dec92aed1,0x000069adae7ca201,0x00011ee923290f55,0x00069641898d916c,0x00000aaec53e35d4},{0x0001f773003ad2aa,0x000005642cc10f76,0x00003b48f82cfca6,0x0002403c10ee4329,0x00020be9c1c24065}}, + {{0x0000e44ae2025e60,0x0005f97b9727041c,0x0005683472c0ecec,0x000188882eb1ce7c,0x00069764c545067e},{0x000387d8249673a6,0x0005bea8dc927c2a,0x0005bd8ed5650ef0,0x0000ef0e3fcd40e1,0x000750ab3361f0ac},{0x00023283a2f81037,0x000477aff97e23d1,0x0000b8958dbcbb68,0x0000205b97e8add6,0x00054f96b3fb7075}}, + {{0x0005afc616b11ecd,0x00039f4aec8f22ef,0x0003b39e1625d92e,0x0005f85bd4508873,0x00078e6839fbe85d},{0x0005f20429669279,0x00008fafae4941f5,0x00015d83c4eb7688,0x0001cf379eca4146,0x0003d7fe9c52bb75},{0x00032df737b8856b,0x0000608342f14e06,0x0003967889d74175,0x0001211907fba550,0x00070f268f350088}}, + {{0x0004112070dcf355,0x0007dcff9c22e464,0x00054ada60e03325,0x00025cd98eef769a,0x000404e56c039b8c},{0x00064583b1805f47,0x00022c1baf832cd0,0x000132c01bd4d717,0x0004ecf4c3a75b8f,0x0007c0d345cfad88},{0x00071f4b8c78338a,0x00062cfc16bc2b23,0x00017cf51280d9aa,0x0003bbae5e20a95a,0x00020d754762aaec}}, + {{0x0004feb135b9f543,0x00063bd192ad93ae,0x00044e2ea612cdf7,0x000670f4991583ab,0x00038b8ada8790b4},{0x0007c36fc73bb758,0x0004a6c797734bd1,0x0000ef248ab3950e,0x00063154c9a53ec8,0x0002b8f1e46f3cee},{0x00004a9cdf51f95d,0x0005d963fbd596b8,0x00022d9b68ace54a,0x0004a98e8836c599,0x000049aeb32ceba1}}, + {{0x00067d3c63dcfe7e,0x000112f0adc81aee,0x00053df04c827165,0x0002fe5b33b430f0,0x00051c665e0c8d62},{0x00007d0b75fc7931,0x00016f4ce4ba754a,0x0005ace4c03fbe49,0x00027e0ec12a159c,0x000795ee17530f67},{0x00025b0a52ecbd81,0x0005dc0695fce4a9,0x0003b928c575047d,0x00023bf3512686e5,0x0006cd19bf49dc54}}, + {{0x0007619052179ca3,0x0000c16593f0afd0,0x000265c4795c7428,0x00031c40515d5442,0x0007520f3db40b2e},{0x0006612165afc386,0x0001171aa36203ff,0x0002642ea820a8aa,0x0001f3bb7b313f10,0x0005e01b3a7429e4},{0x00050be3d39357a1,0x0003ab33d294a7b6,0x0004c479ba59edb3,0x0004c30d184d326f,0x00071092c9ccef3c}}, + {{0x0000523f0364918c,0x000687f56d638a7b,0x00020796928ad013,0x0005d38405a54f33,0x0000ea15b03d0257},{0x0003d8ac74051dcf,0x00010ab6f543d0ad,0x0005d0f3ac0fda90,0x0005ef1d2573e5e4,0x0004173a5bb7137a},{0x00056e31f0f9218a,0x0005635f88e102f8,0x0002cbc5d969a5b8,0x000533fbc98b347a,0x0005fc565614a4e3}}, + {{0x0006570dc46d7ae5,0x00018a9f1b91e26d,0x000436b6183f42ab,0x000550acaa4f8198,0x00062711c414c454},{0x0002e1e67790988e,0x0001e38b9ae44912,0x000648fbb4075654,0x00028df1d840cd72,0x0003214c7409d466},{0x0001827406651770,0x0004d144f286c265,0x00017488f0ee9281,0x00019e6cdb5c760c,0x0005bea94073ecb8}}, + {{0x0005bf0912c89be4,0x00062fadcaf38c83,0x00025ec196b3ce2c,0x00077655ff4f017b,0x0003aacd5c148f61},{0x0000ce63f343d2f8,0x0001e0a87d1e368e,0x000045edbc019eea,0x0006979aed28d0d1,0x0004ad0785944f1b},{0x00063b34c3318301,0x0000e0e62d04d0b1,0x000676a233726701,0x00029e9a042d9769,0x0003aff0cb1d9028}}, + {{0x0005c7eb3a20405e,0x0005fdb5aad930f8,0x0004a757e63b8c47,0x00028e9492972456,0x000110e7e86f4cd2},{0x0006430bf4c53505,0x000264c3e4507244,0x00074c9f19a39270,0x00073f84f799bc47,0x0002ccf9f732bd99},{0x0000d89ed603f5e4,0x00051e1604018af8,0x0000b8eedc4a2218,0x00051ba98b9384d0,0x00005c557e0b9693}}, + {{0x0001ce311fc97e6f,0x0006023f3fb5db1f,0x0007b49775e8fc98,0x0003ad70adbf5045,0x0006e154c178fe98},{0x0006bbb089c20eb0,0x0006df41fb0b9eee,0x00051087ed87e16f,0x000102db5c9fa731,0x000289fef0841861},{0x00016336fed69abf,0x0004f066b929f9ec,0x0004e9ff9e6c5b93,0x00018c89bc4bb2ba,0x0006afbf642a95ca}}, + {{0x0000de0c62f5d2c1,0x00049601cf734fb5,0x0006b5c38263f0f6,0x0004623ef5b56d06,0x0000db4b851b9503},{0x00055070f913a8cc,0x000765619eac2bbc,0x0003ab5225f47459,0x00076ced14ab5b48,0x00012c093cedb801},{0x00047f9308b8190f,0x000414235c621f82,0x00031f5ff41a5a76,0x0006736773aab96d,0x00033aa8799c6635}}, + {{0x0007f51ebd085cf2,0x00012cfa67e3f5e1,0x0001800cf1e3d46a,0x00054337615ff0a8,0x000233c6f29e8e21},{0x0000f588fc156cb1,0x000363414da4f069,0x0007296ad9b68aea,0x0004d3711316ae43,0x000212cd0c1c8d58},{0x0004d5107f18c781,0x00064a4fd3a51a5e,0x0004f4cd0448bb37,0x000671d38543151e,0x0001db7778911914}}, + {{0x000352397c6bc26f,0x00018a7aa0227bbe,0x0005e68cc1ea5f8b,0x0006fe3e3a7a1d5f,0x00031ad97ad26e2a},{0x00014769dd701ab6,0x00028339f1b4b667,0x0004ab214b8ae37b,0x00025f0aefa0b0fe,0x0007ae2ca8a017d2},{0x000017ed0920b962,0x000187e33b53b6fd,0x00055829907a1463,0x000641f248e0a792,0x0001ed1fc53a6622}} +}; diff --git a/cbits/ed25519/ed25519-donna-64bit-x86.h b/cbits/ed25519/ed25519-donna-64bit-x86.h new file mode 100644 index 0000000..30bd472 --- /dev/null +++ b/cbits/ed25519/ed25519-donna-64bit-x86.h @@ -0,0 +1,351 @@ +#if defined(ED25519_GCC_64BIT_X86_CHOOSE) + +#define HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS + +DONNA_NOINLINE static void +ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) { + int64_t breg = (int64_t)b; + uint64_t sign = (uint64_t)breg >> 63; + uint64_t mask = ~(sign - 1); + uint64_t u = (breg + mask) ^ mask; + + __asm__ __volatile__ ( + /* ysubx+xaddy+t2d */ + "movq %0, %%rax ;\n" + "movd %%rax, %%xmm14 ;\n" + "pshufd $0x00, %%xmm14, %%xmm14 ;\n" + "pxor %%xmm0, %%xmm0 ;\n" + "pxor %%xmm1, %%xmm1 ;\n" + "pxor %%xmm2, %%xmm2 ;\n" + "pxor %%xmm3, %%xmm3 ;\n" + "pxor %%xmm4, %%xmm4 ;\n" + "pxor %%xmm5, %%xmm5 ;\n" + + /* 0 */ + "movq $0, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movq $1, %%rax ;\n" + "movd %%rax, %%xmm6 ;\n" + "pxor %%xmm7, %%xmm7 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm6, %%xmm2 ;\n" + "por %%xmm7, %%xmm3 ;\n" + + /* 1 */ + "movq $1, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 0(%1), %%xmm6 ;\n" + "movdqa 16(%1), %%xmm7 ;\n" + "movdqa 32(%1), %%xmm8 ;\n" + "movdqa 48(%1), %%xmm9 ;\n" + "movdqa 64(%1), %%xmm10 ;\n" + "movdqa 80(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 2 */ + "movq $2, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 96(%1), %%xmm6 ;\n" + "movdqa 112(%1), %%xmm7 ;\n" + "movdqa 128(%1), %%xmm8 ;\n" + "movdqa 144(%1), %%xmm9 ;\n" + "movdqa 160(%1), %%xmm10 ;\n" + "movdqa 176(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 3 */ + "movq $3, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 192(%1), %%xmm6 ;\n" + "movdqa 208(%1), %%xmm7 ;\n" + "movdqa 224(%1), %%xmm8 ;\n" + "movdqa 240(%1), %%xmm9 ;\n" + "movdqa 256(%1), %%xmm10 ;\n" + "movdqa 272(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 4 */ + "movq $4, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 288(%1), %%xmm6 ;\n" + "movdqa 304(%1), %%xmm7 ;\n" + "movdqa 320(%1), %%xmm8 ;\n" + "movdqa 336(%1), %%xmm9 ;\n" + "movdqa 352(%1), %%xmm10 ;\n" + "movdqa 368(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 5 */ + "movq $5, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 384(%1), %%xmm6 ;\n" + "movdqa 400(%1), %%xmm7 ;\n" + "movdqa 416(%1), %%xmm8 ;\n" + "movdqa 432(%1), %%xmm9 ;\n" + "movdqa 448(%1), %%xmm10 ;\n" + "movdqa 464(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 6 */ + "movq $6, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 480(%1), %%xmm6 ;\n" + "movdqa 496(%1), %%xmm7 ;\n" + "movdqa 512(%1), %%xmm8 ;\n" + "movdqa 528(%1), %%xmm9 ;\n" + "movdqa 544(%1), %%xmm10 ;\n" + "movdqa 560(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 7 */ + "movq $7, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 576(%1), %%xmm6 ;\n" + "movdqa 592(%1), %%xmm7 ;\n" + "movdqa 608(%1), %%xmm8 ;\n" + "movdqa 624(%1), %%xmm9 ;\n" + "movdqa 640(%1), %%xmm10 ;\n" + "movdqa 656(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* 8 */ + "movq $8, %%rax ;\n" + "movd %%rax, %%xmm15 ;\n" + "pshufd $0x00, %%xmm15, %%xmm15 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa 672(%1), %%xmm6 ;\n" + "movdqa 688(%1), %%xmm7 ;\n" + "movdqa 704(%1), %%xmm8 ;\n" + "movdqa 720(%1), %%xmm9 ;\n" + "movdqa 736(%1), %%xmm10 ;\n" + "movdqa 752(%1), %%xmm11 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pand %%xmm15, %%xmm8 ;\n" + "pand %%xmm15, %%xmm9 ;\n" + "pand %%xmm15, %%xmm10 ;\n" + "pand %%xmm15, %%xmm11 ;\n" + "por %%xmm6, %%xmm0 ;\n" + "por %%xmm7, %%xmm1 ;\n" + "por %%xmm8, %%xmm2 ;\n" + "por %%xmm9, %%xmm3 ;\n" + "por %%xmm10, %%xmm4 ;\n" + "por %%xmm11, %%xmm5 ;\n" + + /* conditionally swap ysubx and xaddy */ + "movq %3, %%rax ;\n" + "xorq $1, %%rax ;\n" + "movd %%rax, %%xmm14 ;\n" + "pxor %%xmm15, %%xmm15 ;\n" + "pshufd $0x00, %%xmm14, %%xmm14 ;\n" + "pxor %%xmm0, %%xmm2 ;\n" + "pxor %%xmm1, %%xmm3 ;\n" + "pcmpeqd %%xmm14, %%xmm15 ;\n" + "movdqa %%xmm2, %%xmm6 ;\n" + "movdqa %%xmm3, %%xmm7 ;\n" + "pand %%xmm15, %%xmm6 ;\n" + "pand %%xmm15, %%xmm7 ;\n" + "pxor %%xmm6, %%xmm0 ;\n" + "pxor %%xmm7, %%xmm1 ;\n" + "pxor %%xmm0, %%xmm2 ;\n" + "pxor %%xmm1, %%xmm3 ;\n" + + /* store ysubx */ + "movq $0x7ffffffffffff, %%rax ;\n" + "movd %%xmm0, %%rcx ;\n" + "movd %%xmm0, %%r8 ;\n" + "movd %%xmm1, %%rsi ;\n" + "pshufd $0xee, %%xmm0, %%xmm0 ;\n" + "pshufd $0xee, %%xmm1, %%xmm1 ;\n" + "movd %%xmm0, %%rdx ;\n" + "movd %%xmm1, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "andq %%rax, %%rcx ;\n" + "andq %%rax, %%r8 ;\n" + "andq %%rax, %%rdx ;\n" + "andq %%rax, %%rsi ;\n" + "andq %%rax, %%rdi ;\n" + "movq %%rcx, 0(%2) ;\n" + "movq %%r8, 8(%2) ;\n" + "movq %%rdx, 16(%2) ;\n" + "movq %%rsi, 24(%2) ;\n" + "movq %%rdi, 32(%2) ;\n" + + /* store xaddy */ + "movq $0x7ffffffffffff, %%rax ;\n" + "movd %%xmm2, %%rcx ;\n" + "movd %%xmm2, %%r8 ;\n" + "movd %%xmm3, %%rsi ;\n" + "pshufd $0xee, %%xmm2, %%xmm2 ;\n" + "pshufd $0xee, %%xmm3, %%xmm3 ;\n" + "movd %%xmm2, %%rdx ;\n" + "movd %%xmm3, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "andq %%rax, %%rcx ;\n" + "andq %%rax, %%r8 ;\n" + "andq %%rax, %%rdx ;\n" + "andq %%rax, %%rsi ;\n" + "andq %%rax, %%rdi ;\n" + "movq %%rcx, 40(%2) ;\n" + "movq %%r8, 48(%2) ;\n" + "movq %%rdx, 56(%2) ;\n" + "movq %%rsi, 64(%2) ;\n" + "movq %%rdi, 72(%2) ;\n" + + /* extract t2d */ + "movq $0x7ffffffffffff, %%rax ;\n" + "movd %%xmm4, %%rcx ;\n" + "movd %%xmm4, %%r8 ;\n" + "movd %%xmm5, %%rsi ;\n" + "pshufd $0xee, %%xmm4, %%xmm4 ;\n" + "pshufd $0xee, %%xmm5, %%xmm5 ;\n" + "movd %%xmm4, %%rdx ;\n" + "movd %%xmm5, %%rdi ;\n" + "shrdq $51, %%rdx, %%r8 ;\n" + "shrdq $38, %%rsi, %%rdx ;\n" + "shrdq $25, %%rdi, %%rsi ;\n" + "shrq $12, %%rdi ;\n" + "andq %%rax, %%rcx ;\n" + "andq %%rax, %%r8 ;\n" + "andq %%rax, %%rdx ;\n" + "andq %%rax, %%rsi ;\n" + "andq %%rax, %%rdi ;\n" + + /* conditionally negate t2d */ + "movq %3, %%rax ;\n" + "movq $0xfffffffffffda, %%r9 ;\n" + "movq $0xffffffffffffe, %%r10 ;\n" + "movq %%r10, %%r11 ;\n" + "movq %%r10, %%r12 ;\n" + "movq %%r10, %%r13 ;\n" + "subq %%rcx, %%r9 ;\n" + "subq %%r8, %%r10 ;\n" + "subq %%rdx, %%r11 ;\n" + "subq %%rsi, %%r12 ;\n" + "subq %%rdi, %%r13 ;\n" + "cmpq $1, %%rax ;\n" + "cmove %%r9, %%rcx ;\n" + "cmove %%r10, %%r8 ;\n" + "cmove %%r11, %%rdx ;\n" + "cmove %%r12, %%rsi ;\n" + "cmove %%r13, %%rdi ;\n" + + /* store t2d */ + "movq %%rcx, 80(%2) ;\n" + "movq %%r8, 88(%2) ;\n" + "movq %%rdx, 96(%2) ;\n" + "movq %%rsi, 104(%2) ;\n" + "movq %%rdi, 112(%2) ;\n" + : + : "m"(u), "r"(&table[pos * 8]), "r"(t), "m"(sign) /* %0 = u, %1 = table, %2 = t, %3 = sign */ + : + "%rax", "%rcx", "%rdx", "%rdi", "%rsi", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", + "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm14", "%xmm14", + "cc", "memory" + ); +} + +#endif /* defined(ED25519_GCC_64BIT_X86_CHOOSE) */ + diff --git a/cbits/ed25519/ed25519-donna-basepoint-table.h b/cbits/ed25519/ed25519-donna-basepoint-table.h new file mode 100644 index 0000000..41dcd52 --- /dev/null +++ b/cbits/ed25519/ed25519-donna-basepoint-table.h @@ -0,0 +1,259 @@ +/* multiples of the base point in packed {ysubx, xaddy, t2d} form */ +static const uint8_t ALIGN(16) ge25519_niels_base_multiples[256][96] = { + {0x3e,0x91,0x40,0xd7,0x05,0x39,0x10,0x9d,0xb3,0xbe,0x40,0xd1,0x05,0x9f,0x39,0xfd,0x09,0x8a,0x8f,0x68,0x34,0x84,0xc1,0xa5,0x67,0x12,0xf8,0x98,0x92,0x2f,0xfd,0x44,0x85,0x3b,0x8c,0xf5,0xc6,0x93,0xbc,0x2f,0x19,0x0e,0x8c,0xfb,0xc6,0x2d,0x93,0xcf,0xc2,0x42,0x3d,0x64,0x98,0x48,0x0b,0x27,0x65,0xba,0xd4,0x33,0x3a,0x9d,0xcf,0x07,0x59,0xbb,0x6f,0x4b,0x67,0x15,0xbd,0xdb,0xea,0xa5,0xa2,0xee,0x00,0x3f,0xe1,0x41,0xfa,0xc6,0x57,0xc9,0x1c,0x9d,0xd4,0xcd,0xca,0xec,0x16,0xaf,0x1f,0xbe,0x0e,0x4f}, + {0xa8,0xd5,0xb4,0x42,0x60,0xa5,0x99,0x8a,0xf6,0xac,0x60,0x4e,0x0c,0x81,0x2b,0x8f,0xaa,0x37,0x6e,0xb1,0x6b,0x23,0x9e,0xe0,0x55,0x25,0xc9,0x69,0xa6,0x95,0xb5,0x6b,0xd7,0x71,0x3c,0x93,0xfc,0xe7,0x24,0x92,0xb5,0xf5,0x0f,0x7a,0x96,0x9d,0x46,0x9f,0x02,0x07,0xd6,0xe1,0x65,0x9a,0xa6,0x5a,0x2e,0x2e,0x7d,0xa8,0x3f,0x06,0x0c,0x59,0x02,0x68,0xd3,0xda,0xaa,0x7e,0x34,0x6e,0x05,0x48,0xee,0x83,0x93,0x59,0xf3,0xba,0x26,0x68,0x07,0xe6,0x10,0xbe,0xca,0x3b,0xb8,0xd1,0x5e,0x16,0x0a,0x4f,0x31,0x49}, + {0x65,0xd2,0xfc,0xa4,0xe8,0x1f,0x61,0x56,0x7d,0xba,0xc1,0xe5,0xfd,0x53,0xd3,0x3b,0xbd,0xd6,0x4b,0x21,0x1a,0xf3,0x31,0x81,0x62,0xda,0x5b,0x55,0x87,0x15,0xb9,0x2a,0x30,0x97,0xee,0x4c,0xa8,0xb0,0x25,0xaf,0x8a,0x4b,0x86,0xe8,0x30,0x84,0x5a,0x02,0x32,0x67,0x01,0x9f,0x02,0x50,0x1b,0xc1,0xf4,0xf8,0x80,0x9a,0x1b,0x4e,0x16,0x7a,0x34,0x48,0x67,0xf1,0xf4,0x11,0xf2,0x9b,0x95,0xf8,0x2d,0xf6,0x17,0x6b,0x4e,0xb8,0x4e,0x2a,0x72,0x5b,0x07,0x6f,0xde,0xd7,0x21,0x2a,0xbb,0x63,0xb9,0x04,0x9a,0x54}, + {0xbf,0x18,0x68,0x05,0x0a,0x05,0xfe,0x95,0xa9,0xfa,0x60,0x56,0x71,0x89,0x7e,0x32,0x73,0x50,0xa0,0x06,0xcd,0xe3,0xe8,0xc3,0x9a,0xa4,0x45,0x74,0x4c,0x3f,0x93,0x27,0x9f,0x09,0xfc,0x8e,0xb9,0x51,0x73,0x28,0x38,0x25,0xfd,0x7d,0xf4,0xc6,0x65,0x67,0x65,0x92,0x0a,0xfb,0x3d,0x8d,0x34,0xca,0x27,0x87,0xe5,0x21,0x03,0x91,0x0e,0x68,0xb0,0x26,0x14,0xe5,0xec,0x45,0x1e,0xbf,0x94,0x0f,0xba,0x6d,0x3d,0xc6,0x2b,0xe3,0xc0,0x52,0xf8,0x8c,0xd5,0x74,0x29,0xe4,0x18,0x4c,0xe6,0xb0,0xb1,0x79,0xf0,0x44}, + {0xba,0xd6,0x47,0xa4,0xc3,0x82,0x91,0x7f,0xb7,0x29,0x27,0x4b,0xd1,0x14,0x00,0xd5,0x87,0xa0,0x64,0xb8,0x1c,0xf1,0x3c,0xe3,0xf3,0x55,0x1b,0xeb,0x73,0x7e,0x4a,0x15,0x33,0xbb,0xa5,0x08,0x44,0xbc,0x12,0xa2,0x02,0xed,0x5e,0xc7,0xc3,0x48,0x50,0x8d,0x44,0xec,0xbf,0x5a,0x0c,0xeb,0x1b,0xdd,0xeb,0x06,0xe2,0x46,0xf1,0xcc,0x45,0x29,0xb3,0x03,0xd0,0xe7,0x79,0xa1,0x32,0xc8,0x7e,0x4d,0x12,0x00,0x0a,0x9d,0x72,0x5f,0xf3,0x8f,0x6d,0x0e,0xa1,0xd4,0xc1,0x62,0x98,0x7a,0xb2,0x38,0x59,0xac,0xb8,0x68}, + {0xa4,0x8c,0x7d,0x7b,0xb6,0x06,0x98,0x49,0x39,0x27,0xd2,0x27,0x84,0xe2,0x5b,0x57,0xb9,0x53,0x45,0x20,0xe7,0x5c,0x08,0xbb,0x84,0x78,0x41,0xae,0x41,0x4c,0xb6,0x38,0x31,0x71,0x15,0x77,0xeb,0xee,0x0c,0x3a,0x88,0xaf,0xc8,0x00,0x89,0x15,0x27,0x9b,0x36,0xa7,0x59,0xda,0x68,0xb6,0x65,0x80,0xbd,0x38,0xcc,0xa2,0xb6,0x7b,0xe5,0x51,0xa4,0xe3,0x9d,0x68,0x91,0xad,0x9d,0x8f,0x37,0x91,0xfb,0xf8,0x28,0x24,0x5f,0x17,0x88,0xb9,0xcf,0x9f,0x32,0xb5,0x0a,0x05,0x9f,0xc0,0x54,0x13,0xa2,0xdf,0x65,0x78}, + {0xb1,0x21,0x32,0xaa,0x9a,0x2c,0x6f,0xba,0xa7,0x23,0xba,0x3b,0x53,0x21,0xa0,0x6c,0x3a,0x2c,0x19,0x92,0x4f,0x76,0xea,0x9d,0xe0,0x17,0x53,0x2e,0x5d,0xdd,0x6e,0x1d,0xbf,0xa3,0x4e,0x94,0xd0,0x5c,0x1a,0x6b,0xd2,0xc0,0x9d,0xb3,0x3a,0x35,0x70,0x74,0x49,0x2e,0x54,0x28,0x82,0x52,0xb2,0x71,0x7e,0x92,0x3c,0x28,0x69,0xea,0x1b,0x46,0x36,0xda,0x0f,0xab,0xac,0x8a,0x7a,0x21,0xc8,0x49,0x35,0x3d,0x54,0xc6,0x28,0xa5,0x68,0x75,0xab,0x13,0x8b,0x5b,0xd0,0x37,0x37,0xbc,0x2c,0x3a,0x62,0xef,0x3c,0x23}, + {0xd9,0x34,0x92,0xf3,0xed,0x5d,0xa7,0xe2,0xf9,0x58,0xb5,0xe1,0x80,0x76,0x3d,0x96,0xfb,0x23,0x3c,0x6e,0xac,0x41,0x27,0x2c,0xc3,0x01,0x0e,0x32,0xa1,0x24,0x90,0x3a,0x8f,0x3e,0xdd,0x04,0x66,0x59,0xb7,0x59,0x2c,0x70,0x88,0xe2,0x77,0x03,0xb3,0x6c,0x23,0xc3,0xd9,0x5e,0x66,0x9c,0x33,0xb1,0x2f,0xe5,0xbc,0x61,0x60,0xe7,0x15,0x09,0x7e,0xa3,0x34,0xa8,0x35,0xe8,0x7d,0xdf,0xea,0x57,0x98,0x68,0xda,0x9c,0xe1,0x8b,0x26,0xb3,0x67,0x71,0x36,0x85,0x11,0x2c,0xc2,0xd5,0xef,0xdb,0xd9,0xb3,0x9e,0x58}, + {0x5e,0x51,0xaa,0x49,0x54,0x63,0x5b,0xed,0x3a,0x82,0xc6,0x0b,0x9f,0xc4,0x65,0xa8,0xc4,0xd1,0x42,0x5b,0xe9,0x1f,0x0c,0x85,0xb9,0x15,0xd3,0x03,0x6f,0x6d,0xd7,0x30,0x1d,0x9c,0x2f,0x63,0x0e,0xdd,0xcc,0x2e,0x15,0x31,0x89,0x76,0x96,0xb6,0xd0,0x51,0x58,0x7a,0x63,0xa8,0x6b,0xb7,0xdf,0x52,0x39,0xef,0x0e,0xa0,0x49,0x7d,0xd3,0x6d,0xc7,0xe4,0x06,0x21,0x17,0x44,0x44,0x6c,0x69,0x7f,0x8d,0x92,0x80,0xd6,0x53,0xfb,0x26,0x3f,0x4d,0x69,0xa4,0x9e,0x73,0xb4,0xb0,0x4b,0x86,0x2e,0x11,0x97,0xc6,0x10}, + {0xde,0x5f,0xbe,0x7d,0x27,0xc4,0x93,0x64,0xa2,0x7e,0xad,0x19,0xad,0x4f,0x5d,0x26,0x90,0x45,0x30,0x46,0xc8,0xdf,0x00,0x0e,0x09,0xfe,0x66,0xed,0xab,0x1c,0xe6,0x25,0x05,0xc8,0x58,0x83,0xa0,0x2a,0xa6,0x0c,0x47,0x42,0x20,0x7a,0xe3,0x4a,0x3d,0x6a,0xdc,0xed,0x11,0x3b,0xa6,0xd3,0x64,0x74,0xef,0x06,0x08,0x55,0xaf,0x9b,0xbf,0x03,0x04,0x66,0x58,0xcc,0x28,0xe1,0x13,0x3f,0x7e,0x74,0x59,0xb4,0xec,0x73,0x58,0x6f,0xf5,0x68,0x12,0xcc,0xed,0x3d,0xb6,0xa0,0x2c,0xe2,0x86,0x45,0x63,0x78,0x6d,0x56}, + {0x34,0x08,0xc1,0x9c,0x9f,0xa4,0x37,0x16,0x51,0xc4,0x9b,0xa8,0xd5,0x56,0x8e,0xbc,0xdb,0xd2,0x7f,0x7f,0x0f,0xec,0xb5,0x1c,0xd9,0x35,0xcc,0x5e,0xca,0x5b,0x97,0x33,0xd0,0x2f,0x5a,0xc6,0x85,0x42,0x05,0xa1,0xc3,0x67,0x16,0xf3,0x2a,0x11,0x64,0x6c,0x58,0xee,0x1a,0x73,0x40,0xe2,0x0a,0x68,0x2a,0xb2,0x93,0x47,0xf3,0xa5,0xfb,0x14,0xd4,0xf7,0x85,0x69,0x16,0x46,0xd7,0x3c,0x57,0x00,0xc8,0xc9,0x84,0x5e,0x3e,0x59,0x1e,0x13,0x61,0x7b,0xb6,0xf2,0xc3,0x2f,0x6c,0x52,0xfc,0x83,0xea,0x9c,0x82,0x14}, + {0xc2,0x95,0xdd,0x97,0x84,0x7b,0x43,0xff,0xa7,0xb5,0x4e,0xaa,0x30,0x4e,0x74,0x6c,0x8b,0xe8,0x85,0x3c,0x61,0x5d,0x0c,0x9e,0x73,0x81,0x75,0x5f,0x1e,0xc7,0xd9,0x2f,0xb8,0xec,0x71,0x4e,0x2f,0x0b,0xe7,0x21,0xe3,0x77,0xa4,0x40,0xb9,0xdd,0x56,0xe6,0x80,0x4f,0x1d,0xce,0xce,0x56,0x65,0xbf,0x7e,0x7b,0x5d,0x53,0xc4,0x3b,0xfc,0x05,0xdd,0xde,0xaf,0x52,0xae,0xb3,0xb8,0x24,0xcf,0x30,0x3b,0xed,0x8c,0x63,0x95,0x34,0x95,0x81,0xbe,0xa9,0x83,0xbc,0xa4,0x33,0x04,0x1f,0x65,0x5c,0x47,0x67,0x37,0x37}, + {0xd9,0xad,0xd1,0x40,0xfd,0x99,0xba,0x2f,0x27,0xd0,0xf4,0x96,0x6f,0x16,0x07,0xb3,0xae,0x3b,0xf0,0x15,0x52,0xf0,0x63,0x43,0x99,0xf9,0x18,0x3b,0x6c,0xa5,0xbe,0x1f,0x90,0x65,0x24,0x14,0xcb,0x95,0x40,0x63,0x35,0x55,0xc1,0x16,0x40,0x14,0x12,0xef,0x60,0xbc,0x10,0x89,0x0c,0x14,0x38,0x9e,0x8c,0x7c,0x90,0x30,0x57,0x90,0xf5,0x6b,0x8a,0x5b,0x41,0xe1,0xf1,0x78,0xa7,0x0f,0x7e,0xa7,0xc3,0xba,0xf7,0x9f,0x40,0x06,0x50,0x9a,0xa2,0x9a,0xb8,0xd7,0x52,0x6f,0x56,0x5a,0x63,0x7a,0xf6,0x1c,0x52,0x02}, + {0x94,0x52,0x9d,0x0a,0x0b,0xee,0x3f,0x51,0x66,0x5a,0xdf,0x0f,0x5c,0xe7,0x98,0x8f,0xce,0x07,0xe1,0xbf,0x88,0x86,0x61,0xd4,0xed,0x2c,0x38,0x71,0x7e,0x0a,0xa0,0x3f,0xe4,0x5e,0x2f,0x77,0x20,0x67,0x14,0xb1,0xce,0x9a,0x07,0x96,0xb1,0x94,0xf8,0xe8,0x4a,0x82,0xac,0x00,0x4d,0x22,0xf8,0x4a,0xc4,0x6c,0xcd,0xf7,0xd9,0x53,0x17,0x00,0x34,0xdb,0x3d,0x96,0x2d,0x23,0x69,0x3c,0x58,0x38,0x97,0xb4,0xda,0x87,0xde,0x1d,0x85,0xf2,0x91,0xa0,0xf9,0xd1,0xd7,0xaa,0xb6,0xed,0x48,0xa0,0x2f,0xfe,0xb5,0x12}, + {0x4d,0xe3,0xfc,0x96,0xc4,0xfb,0xf0,0x71,0xed,0x5b,0xf3,0xad,0x6b,0x82,0xb9,0x73,0x61,0xc5,0x28,0xff,0x61,0x72,0x04,0xd2,0x6f,0x20,0xb1,0x6f,0xf9,0x76,0x9b,0x74,0x92,0x1e,0x6f,0xad,0x26,0x7c,0x2b,0xdf,0x13,0x89,0x4b,0x50,0x23,0xd3,0x66,0x4b,0xc3,0x8b,0x1c,0x75,0xc0,0x9d,0x40,0x8c,0xb8,0xc7,0x96,0x07,0xc2,0x93,0x7e,0x6f,0x05,0xae,0xa6,0xae,0x04,0xf6,0x5a,0x1f,0x99,0x9c,0xe4,0xbe,0xf1,0x51,0x23,0xc1,0x66,0x6b,0xff,0xee,0xb5,0x08,0xa8,0x61,0x51,0x21,0xe0,0x01,0x0f,0xc1,0xce,0x0f}, + {0x44,0x1e,0xfe,0x49,0xa6,0x58,0x4d,0x64,0x7e,0x77,0xad,0x31,0xa2,0xae,0xfc,0x21,0xd2,0xd0,0x7f,0x88,0x5a,0x1c,0x44,0x02,0xf3,0x11,0xc5,0x83,0x71,0xaa,0x01,0x49,0x45,0x4e,0x24,0xc4,0x9d,0xd2,0xf2,0x3d,0x0a,0xde,0xd8,0x93,0x74,0x0e,0x02,0x2b,0x4d,0x21,0x0c,0x82,0x7e,0x06,0xc8,0x6c,0x0a,0xb9,0xea,0x6f,0x16,0x79,0x37,0x41,0xf0,0xf8,0x1a,0x8c,0x54,0xb7,0xb1,0x08,0xb4,0x99,0x62,0x24,0x7c,0x7a,0x0f,0xce,0x39,0xd9,0x06,0x1e,0xf9,0xb0,0x60,0xf7,0x13,0x12,0x6d,0x72,0x7b,0x88,0xbb,0x41}, + {0xbe,0x46,0x43,0x74,0x44,0x7d,0xe8,0x40,0x25,0x2b,0xb5,0x15,0xd4,0xda,0x48,0x1d,0x3e,0x60,0x3b,0xa1,0x18,0x8a,0x3a,0x7c,0xf7,0xbd,0xcd,0x2f,0xc1,0x28,0xb7,0x4e,0xae,0x91,0x66,0x7c,0x59,0x4c,0x23,0x7e,0xc8,0xb4,0x85,0x0a,0x3d,0x9d,0x88,0x64,0xe7,0xfa,0x4a,0x35,0x0c,0xc9,0xe2,0xda,0x1d,0x9e,0x6a,0x0c,0x07,0x1e,0x87,0x0a,0x89,0x89,0xbc,0x4b,0x99,0xb5,0x01,0x33,0x60,0x42,0xdd,0x5b,0x3a,0xae,0x6b,0x73,0x3c,0x9e,0xd5,0x19,0xe2,0xad,0x61,0x0d,0x64,0xd4,0x85,0x26,0x0f,0x30,0xe7,0x3e}, + {0xb7,0xd6,0x7d,0x9e,0xe4,0x55,0xd2,0xf5,0xac,0x1e,0x0b,0x61,0x5c,0x11,0x16,0x80,0xca,0x87,0xe1,0x92,0x5d,0x97,0x99,0x3c,0xc2,0x25,0x91,0x97,0x62,0x57,0x81,0x13,0x18,0x75,0x1e,0x84,0x47,0x79,0xfa,0x43,0xd7,0x46,0x9c,0x63,0x59,0xfa,0xc6,0xe5,0x74,0x2b,0x05,0xe3,0x1d,0x5e,0x06,0xa1,0x30,0x90,0xb8,0xcf,0xa2,0xc6,0x47,0x7d,0xe0,0xd6,0xf0,0x8e,0x14,0xd0,0xda,0x3f,0x3c,0x6f,0x54,0x91,0x9a,0x74,0x3e,0x9d,0x57,0x81,0xbb,0x26,0x10,0x62,0xec,0x71,0x80,0xec,0xc9,0x34,0x8d,0xf5,0x8c,0x14}, + {0x27,0xf0,0x34,0x79,0xf6,0x92,0xa4,0x46,0xa9,0x0a,0x84,0xf6,0xbe,0x84,0x99,0x46,0x54,0x18,0x61,0x89,0x2a,0xbc,0xa1,0x5c,0xd4,0xbb,0x5d,0xbd,0x1e,0xfa,0xf2,0x3f,0x6d,0x75,0xe4,0x9a,0x7d,0x2f,0x57,0xe2,0x7f,0x48,0xf3,0x88,0xbb,0x45,0xc3,0x56,0x8d,0xa8,0x60,0x69,0x6d,0x0b,0xd1,0x9f,0xb9,0xa1,0xae,0x4e,0xad,0xeb,0x8f,0x27,0x66,0x39,0x93,0x8c,0x1f,0x68,0xaa,0xb1,0x98,0x0c,0x29,0x20,0x9c,0x94,0x21,0x8c,0x52,0x3c,0x9d,0x21,0x91,0x52,0x11,0x39,0x7b,0x67,0x9c,0xfe,0x02,0xdd,0x04,0x41}, + {0x2a,0x42,0x24,0x11,0x5e,0xbf,0xb2,0x72,0xb5,0x3a,0xa3,0x98,0x33,0x0c,0xfa,0xa1,0x66,0xb6,0x52,0xfa,0x01,0x61,0xcb,0x94,0xd5,0x53,0xaf,0xaf,0x00,0x3b,0x86,0x2c,0xb8,0x6a,0x09,0xdb,0x06,0x4e,0x21,0x81,0x35,0x4f,0xe4,0x0c,0xc9,0xb6,0xa8,0x21,0xf5,0x2a,0x9e,0x40,0x2a,0xc1,0x24,0x65,0x81,0xa4,0xfc,0x8e,0xa4,0xb5,0x65,0x01,0x76,0x6a,0x84,0xa0,0x74,0xa4,0x90,0xf1,0xc0,0x7c,0x2f,0xcd,0x84,0xf9,0xef,0x12,0x8f,0x2b,0xaa,0x58,0x06,0x29,0x5e,0x69,0xb8,0xc8,0xfe,0xbf,0xd9,0x67,0x1b,0x59}, + {0xfa,0x9b,0xb4,0x80,0x1c,0x0d,0x2f,0x31,0x8a,0xec,0xf3,0xab,0x5e,0x51,0x79,0x59,0x88,0x1c,0xf0,0x9e,0xc0,0x33,0x70,0x72,0xcb,0x7b,0x8f,0xca,0xc7,0x2e,0xe0,0x3d,0x5d,0xb5,0x18,0x9f,0x71,0xb3,0xb9,0x99,0x1e,0x64,0x8c,0xa1,0xfa,0xe5,0x65,0xe4,0xed,0x05,0x9f,0xc2,0x36,0x11,0x08,0x61,0x8b,0x12,0x30,0x70,0x86,0x4f,0x9b,0x48,0xef,0x92,0xeb,0x3a,0x2d,0x10,0x32,0xd2,0x61,0xa8,0x16,0x61,0xb4,0x53,0x62,0xe1,0x24,0xaa,0x0b,0x19,0xe7,0xab,0x7e,0x3d,0xbf,0xbe,0x6c,0x49,0xba,0xfb,0xf5,0x49}, + {0xd4,0xcf,0x5b,0x8a,0x10,0x9a,0x94,0x30,0xeb,0x73,0x64,0xbc,0x70,0xdd,0x40,0xdc,0x1c,0x0d,0x7c,0x30,0xc1,0x94,0xc2,0x92,0x74,0x6e,0xfa,0xcb,0x6d,0xa8,0x04,0x56,0x2e,0x57,0x9c,0x1e,0x8c,0x62,0x5d,0x15,0x41,0x47,0x88,0xc5,0xac,0x86,0x4d,0x8a,0xeb,0x63,0x57,0x51,0xf6,0x52,0xa3,0x91,0x5b,0x51,0x67,0x88,0xc2,0xa6,0xa1,0x06,0xb6,0x64,0x17,0x7c,0xd4,0xd1,0x88,0x72,0x51,0x8b,0x41,0xe0,0x40,0x11,0x54,0x72,0xd1,0xf6,0xac,0x18,0x60,0x1a,0x03,0x9f,0xc6,0x42,0x27,0xfe,0x89,0x9e,0x98,0x20}, + {0x7f,0xcc,0x2d,0x3a,0xfd,0x77,0x97,0x49,0x92,0xd8,0x4f,0xa5,0x2c,0x7c,0x85,0x32,0xa0,0xe3,0x07,0xd2,0x64,0xd8,0x79,0xa2,0x29,0x7e,0xa6,0x0c,0x1d,0xed,0x03,0x04,0x2e,0xec,0xea,0x85,0x8b,0x27,0x74,0x16,0xdf,0x2b,0xcb,0x7a,0x07,0xdc,0x21,0x56,0x5a,0xf4,0xcb,0x61,0x16,0x4c,0x0a,0x64,0xd3,0x95,0x05,0xf7,0x50,0x99,0x0b,0x73,0x52,0xc5,0x4e,0x87,0x35,0x2d,0x4b,0xc9,0x8d,0x6f,0x24,0x98,0xcf,0xc8,0xe6,0xc5,0xce,0x35,0xc0,0x16,0xfa,0x46,0xcb,0xf7,0xcc,0x3d,0x30,0x08,0x43,0x45,0xd7,0x5b}, + {0xc2,0x4c,0xb2,0x28,0x95,0xd1,0x9a,0x7f,0x81,0xc1,0x35,0x63,0x65,0x54,0x6b,0x7f,0x36,0x72,0xc0,0x4f,0x6e,0xb6,0xb8,0x66,0x83,0xad,0x80,0x73,0x00,0x78,0x3a,0x13,0x2a,0x79,0xe7,0x15,0x21,0x93,0xc4,0x85,0xc9,0xdd,0xcd,0xbd,0xa2,0x89,0x4c,0xc6,0x62,0xd7,0xa3,0xad,0xa8,0x3d,0x1e,0x9d,0x2c,0xf8,0x67,0x30,0x12,0xdb,0xb7,0x5b,0xbe,0x62,0xca,0xc6,0x67,0xf4,0x61,0x09,0xee,0x52,0x19,0x21,0xd6,0x21,0xec,0x04,0x70,0x47,0xd5,0x9b,0x77,0x60,0x23,0x18,0xd2,0xe0,0xf0,0x58,0x6d,0xca,0x0d,0x74}, + {0x4e,0xce,0xcf,0x52,0x07,0xee,0x48,0xdf,0xb7,0x08,0xec,0x06,0xf3,0xfa,0xff,0xc3,0xc4,0x59,0x54,0xb9,0x2a,0x0b,0x71,0x05,0x8d,0xa3,0x3e,0x96,0xfa,0x25,0x1d,0x16,0x3c,0x43,0x78,0x04,0x57,0x8c,0x1a,0x23,0x9d,0x43,0x81,0xc2,0x0e,0x27,0xb5,0xb7,0x9f,0x07,0xd9,0xe3,0xea,0x99,0xaa,0xdb,0xd9,0x03,0x2b,0x6c,0x25,0xf5,0x03,0x2c,0x7d,0xa4,0x53,0x7b,0x75,0x18,0x0f,0x79,0x79,0x58,0x0c,0xcf,0x30,0x01,0x7b,0x30,0xf9,0xf7,0x7e,0x25,0x77,0x3d,0x90,0x31,0xaf,0xbb,0x96,0xbd,0xbd,0x68,0x94,0x69}, + {0xcf,0xfe,0xda,0xf4,0x46,0x2f,0x1f,0xbd,0xf7,0xd6,0x7f,0xa4,0x14,0x01,0xef,0x7c,0x7f,0xb3,0x47,0x4a,0xda,0xfd,0x1f,0xd3,0x85,0x57,0x90,0x73,0xa4,0x19,0x52,0x52,0x48,0x19,0xa9,0x6a,0xe6,0x3d,0xdd,0xd8,0xcc,0xd2,0xc0,0x2f,0xc2,0x64,0x50,0x48,0x2f,0xea,0xfd,0x34,0x66,0x24,0x48,0x9b,0x3a,0x2e,0x4a,0x6c,0x4e,0x1c,0x3e,0x29,0xe1,0x12,0x51,0x92,0x4b,0x13,0x6e,0x37,0xa0,0x5d,0xa1,0xdc,0xb5,0x78,0x37,0x70,0x11,0x31,0x1c,0x46,0xaf,0x89,0x45,0xb0,0x23,0x28,0x03,0x7f,0x44,0x5c,0x60,0x5b}, + {0x89,0x7c,0xc4,0x20,0x59,0x80,0x65,0xb9,0xcc,0x8f,0x3b,0x92,0x0c,0x10,0xf0,0xe7,0x77,0xef,0xe2,0x02,0x65,0x25,0x01,0x00,0xee,0xb3,0xae,0xa8,0xce,0x6d,0xa7,0x24,0x4c,0xf0,0xe7,0xf0,0xc6,0xfe,0xe9,0x3b,0x62,0x49,0xe3,0x75,0x9e,0x57,0x6a,0x86,0x1a,0xe6,0x1d,0x1e,0x16,0xef,0x42,0x55,0xd5,0xbd,0x5a,0xcc,0xf4,0xfe,0x12,0x2f,0x40,0xc7,0xc0,0xdf,0xb2,0x22,0x45,0x0a,0x07,0xa4,0xc9,0x40,0x7f,0x6e,0xd0,0x10,0x68,0xf6,0xcf,0x78,0x41,0x14,0xcf,0xc6,0x90,0x37,0xa4,0x18,0x25,0x7b,0x60,0x5e}, + {0x18,0x18,0xdf,0x6c,0x8f,0x1d,0xb3,0x58,0xa2,0x58,0x62,0xc3,0x4f,0xa7,0xcf,0x35,0x6e,0x1d,0xe6,0x66,0x4f,0xff,0xb3,0xe1,0xf7,0xd5,0xcd,0x6c,0xab,0xac,0x67,0x50,0x14,0xcf,0x96,0xa5,0x1c,0x43,0x2c,0xa0,0x00,0xe4,0xd3,0xae,0x40,0x2d,0xc4,0xe3,0xdb,0x26,0x0f,0x2e,0x80,0x26,0x45,0xd2,0x68,0x70,0x45,0x9e,0x13,0x33,0x1f,0x20,0x51,0x9d,0x03,0x08,0x6b,0x7f,0x52,0xfd,0x06,0x00,0x7c,0x01,0x64,0x49,0xb1,0x18,0xa8,0xa4,0x25,0x2e,0xb0,0x0e,0x22,0xd5,0x75,0x03,0x46,0x62,0x88,0xba,0x7c,0x39}, + {0xb2,0x59,0x59,0xf0,0x93,0x30,0xc1,0x30,0x76,0x79,0xa9,0xe9,0x8d,0xa1,0x3a,0xe2,0x26,0x5e,0x1d,0x72,0x91,0xd4,0x2f,0x22,0x3a,0x6c,0x6e,0x76,0x20,0xd3,0x39,0x23,0xe7,0x79,0x13,0xc8,0xfb,0xc3,0x15,0x78,0xf1,0x2a,0xe1,0xdd,0x20,0x94,0x61,0xa6,0xd5,0xfd,0xa8,0x85,0xf8,0xc0,0xa9,0xff,0x52,0xc2,0xe1,0xc1,0x22,0x40,0x1b,0x77,0xa7,0x2f,0x3a,0x51,0x86,0xd9,0x7d,0xd8,0x08,0xcf,0xd4,0xf9,0x71,0x9b,0xac,0xf5,0xb3,0x83,0xa2,0x1e,0x1b,0xc3,0x6b,0xd0,0x76,0x1a,0x97,0x19,0x92,0x18,0x1a,0x33}, + {0xc6,0x80,0x4f,0xfb,0x45,0x6f,0x16,0xf5,0xcf,0x75,0xc7,0x61,0xde,0xc7,0x36,0x9c,0x1c,0xd9,0x41,0x90,0x1b,0xe8,0xd4,0xe3,0x21,0xfe,0xbd,0x83,0x6b,0x7c,0x16,0x31,0xaf,0x72,0x75,0x9d,0x3a,0x2f,0x51,0x26,0x9e,0x4a,0x07,0x68,0x88,0xe2,0xcb,0x5b,0xc4,0xf7,0x80,0x11,0xc1,0xc1,0xed,0x84,0x7b,0xa6,0x49,0xf6,0x9f,0x61,0xc9,0x1a,0x68,0x10,0x4b,0x52,0x42,0x38,0x2b,0xf2,0x87,0xe9,0x9c,0xee,0x3b,0x34,0x68,0x50,0xc8,0x50,0x62,0x4a,0x84,0x71,0x9d,0xfc,0x11,0xb1,0x08,0x1f,0x34,0x36,0x24,0x61}, + {0x8d,0x89,0x4e,0x87,0xdb,0x41,0x9d,0xd9,0x20,0xdc,0x07,0x6c,0xf1,0xa5,0xfe,0x09,0xbc,0x9b,0x0f,0xd0,0x67,0x2c,0x3d,0x79,0x40,0xff,0x5e,0x9e,0x30,0xe2,0xeb,0x46,0x38,0x26,0x2d,0x1a,0xe3,0x49,0x63,0x8b,0x35,0xfd,0xd3,0x9b,0x00,0xb7,0xdf,0x9d,0xa4,0x6b,0xa0,0xa3,0xb8,0xf1,0x8b,0x7f,0x45,0x04,0xd9,0x78,0x31,0xaa,0x22,0x15,0x38,0x49,0x61,0x69,0x53,0x2f,0x38,0x2c,0x10,0x6d,0x2d,0xb7,0x9a,0x40,0xfe,0xda,0x27,0xf2,0x46,0xb6,0x91,0x33,0xc8,0xe8,0x6c,0x30,0x24,0x05,0xf5,0x70,0xfe,0x45}, + {0x8c,0x0b,0x0c,0x96,0xa6,0x75,0x48,0xda,0x20,0x2f,0x0e,0xef,0x76,0xd0,0x68,0x5b,0xd4,0x8f,0x0b,0x3d,0xcf,0x51,0xfb,0x07,0xd4,0x92,0xe3,0xa0,0x23,0x16,0x8d,0x42,0x91,0x14,0x95,0xc8,0x20,0x49,0xf2,0x62,0xa2,0x0c,0x63,0x3f,0xc8,0x07,0xf0,0x05,0xb8,0xd4,0xc9,0xf5,0xd2,0x45,0xbb,0x6f,0x45,0x22,0x7a,0xb5,0x6d,0x9f,0x61,0x16,0xfd,0x08,0xa3,0x01,0x44,0x4a,0x4f,0x08,0xac,0xca,0xa5,0x76,0xc3,0x19,0x22,0xa8,0x7d,0xbc,0xd1,0x43,0x46,0xde,0xb8,0xde,0xc6,0x38,0xbd,0x60,0x2d,0x59,0x81,0x1d}, + {0x5f,0xac,0x0d,0xa6,0x56,0x87,0x36,0x61,0x57,0xdc,0xab,0xeb,0x6a,0x2f,0xe0,0x17,0x7d,0x0f,0xce,0x4c,0x2d,0x3f,0x19,0x7f,0xf0,0xdc,0xec,0x89,0x77,0x4a,0x23,0x20,0xe8,0xc5,0x85,0x7b,0x9f,0xb6,0x65,0x87,0xb2,0xba,0x68,0xd1,0x8b,0x67,0xf0,0x6f,0x9b,0x0f,0x33,0x1d,0x7c,0xe7,0x70,0x3a,0x7c,0x8e,0xaf,0xb0,0x51,0x6d,0x5f,0x3a,0x52,0xb2,0x78,0x71,0xb6,0x0d,0xd2,0x76,0x60,0xd1,0x1e,0xd5,0xf9,0x34,0x1c,0x07,0x70,0x11,0xe4,0xb3,0x20,0x4a,0x2a,0xf6,0x66,0xe3,0xff,0x3c,0x35,0x82,0xd6,0x7c}, + {0xb6,0xfa,0x87,0xd8,0x5b,0xa4,0xe1,0x0b,0x6e,0x3b,0x40,0xba,0x32,0x6a,0x84,0x2a,0x00,0x60,0x6e,0xe9,0x12,0x10,0x92,0xd9,0x43,0x09,0xdc,0x3b,0x86,0xc8,0x38,0x28,0xf3,0xf4,0xac,0x68,0x60,0xcd,0x65,0xa6,0xd3,0xe3,0xd7,0x3c,0x18,0x2d,0xd9,0x42,0xd9,0x25,0x60,0x33,0x9d,0x38,0x59,0x57,0xff,0xd8,0x2c,0x2b,0x3b,0x25,0xf0,0x3e,0x30,0x50,0x46,0x4a,0xcf,0xb0,0x6b,0xd1,0xab,0x77,0xc5,0x15,0x41,0x6b,0x49,0xfa,0x9d,0x41,0xab,0xf4,0x8a,0xae,0xcf,0x82,0x12,0x28,0xa8,0x06,0xa6,0xb8,0xdc,0x21}, + {0xc8,0x9f,0x9d,0x8c,0x46,0x04,0x60,0x5c,0xcb,0xa3,0x2a,0xd4,0x6e,0x09,0x40,0x25,0x9c,0x2f,0xee,0x12,0x4c,0x4d,0x5b,0x12,0xab,0x1d,0xa3,0x94,0x81,0xd0,0xc3,0x0b,0xba,0x31,0x77,0xbe,0xfa,0x00,0x8d,0x9a,0x89,0x18,0x9e,0x62,0x7e,0x60,0x03,0x82,0x7f,0xd9,0xf3,0x43,0x37,0x02,0xcc,0xb2,0x8b,0x67,0x6f,0x6c,0xbf,0x0d,0x84,0x5d,0x8b,0xe1,0x9f,0x30,0x0d,0x38,0x6e,0x70,0xc7,0x65,0xe1,0xb9,0xa6,0x2d,0xb0,0x6e,0xab,0x20,0xae,0x7d,0x99,0xba,0xbb,0x57,0xdd,0x96,0xc1,0x2a,0x23,0x76,0x42,0x3a}, + {0xfa,0x84,0x70,0x8a,0x2c,0x43,0x42,0x4b,0x45,0xe5,0xb9,0xdf,0xe3,0x19,0x8a,0x89,0x5d,0xe4,0x58,0x9c,0x21,0x00,0x9f,0xbe,0xd1,0xeb,0x6d,0xa1,0xce,0x77,0xf1,0x1f,0xcb,0x7e,0x44,0xdb,0x72,0xc1,0xf8,0x3b,0xbd,0x2d,0x28,0xc6,0x1f,0xc4,0xcf,0x5f,0xfe,0x15,0xaa,0x75,0xc0,0xff,0xac,0x80,0xf9,0xa9,0xe1,0x24,0xe8,0xc9,0x70,0x07,0xfd,0xb5,0xb5,0x45,0x9a,0xd9,0x61,0xcf,0x24,0x79,0x3a,0x1b,0xe9,0x84,0x09,0x86,0x89,0x3e,0x3e,0x30,0x19,0x09,0x30,0xe7,0x1e,0x0b,0x50,0x41,0xfd,0x64,0xf2,0x39}, + {0x9c,0xe2,0xe7,0xdb,0x17,0x34,0xad,0xa7,0x9c,0x13,0x9c,0x2b,0x6a,0x37,0x94,0xbd,0xa9,0x7b,0x59,0x93,0x8e,0x1b,0xe9,0xa0,0x40,0x98,0x88,0x68,0x34,0xd7,0x12,0x17,0xe1,0x7b,0x09,0xfe,0xab,0x4a,0x9b,0xd1,0x29,0x19,0xe0,0xdf,0xe1,0xfc,0x6d,0xa4,0xff,0xf1,0xa6,0x2c,0x94,0x08,0xc9,0xc3,0x4e,0xf1,0x35,0x2c,0x27,0x21,0xc6,0x65,0xdd,0x93,0x31,0xce,0xf8,0x89,0x2b,0xe7,0xbb,0xc0,0x25,0xa1,0x56,0x33,0x10,0x4d,0x83,0xfe,0x1c,0x2e,0x3d,0xa9,0x19,0x04,0x72,0xe2,0x9c,0xb1,0x0a,0x80,0xf9,0x22}, + {0xcb,0xf8,0x9e,0x3e,0x8a,0x36,0x5a,0x60,0x15,0x47,0x50,0xa5,0x22,0xc0,0xe9,0xe3,0x8f,0x24,0x24,0x5f,0xb0,0x48,0x3d,0x55,0xe5,0x26,0x76,0x64,0xcd,0x16,0xf4,0x13,0xac,0xfd,0x6e,0x9a,0xdd,0x9f,0x02,0x42,0x41,0x49,0xa5,0x34,0xbe,0xce,0x12,0xb9,0x7b,0xf3,0xbd,0x87,0xb9,0x64,0x0f,0x64,0xb4,0xca,0x98,0x85,0xd3,0xa4,0x71,0x41,0x8c,0x4c,0xc9,0x99,0xaa,0x58,0x27,0xfa,0x07,0xb8,0x00,0xb0,0x6f,0x6f,0x00,0x23,0x92,0x53,0xda,0xad,0xdd,0x91,0xd2,0xfb,0xab,0xd1,0x4b,0x57,0xfa,0x14,0x82,0x50}, + {0x4b,0xfe,0xd6,0x3e,0x15,0x69,0x02,0xc2,0xc4,0x77,0x1d,0x51,0x39,0x67,0x5a,0xa6,0x94,0xaf,0x14,0x2c,0x46,0x26,0xde,0xcb,0x4b,0xa7,0xab,0x6f,0xec,0x60,0xf9,0x22,0xd6,0x03,0xd0,0x53,0xbb,0x15,0x1a,0x46,0x65,0xc9,0xf3,0xbc,0x88,0x28,0x10,0xb2,0x5a,0x3a,0x68,0x6c,0x75,0x76,0xc5,0x27,0x47,0xb4,0x6c,0xc8,0xa4,0x58,0x77,0x3a,0x76,0x50,0xae,0x93,0xf6,0x11,0x81,0x54,0xa6,0x54,0xfd,0x1d,0xdf,0x21,0xae,0x1d,0x65,0x5e,0x11,0xf3,0x90,0x8c,0x24,0x12,0x94,0xf4,0xe7,0x8d,0x5f,0xd1,0x9f,0x5d}, + {0x7f,0x72,0x63,0x6d,0xd3,0x08,0x14,0x03,0x33,0xb5,0xc7,0xd7,0xef,0x9a,0x37,0x6a,0x4b,0xe2,0xae,0xcc,0xc5,0x8f,0xe1,0xa9,0xd3,0xbe,0x8f,0x4f,0x91,0x35,0x2f,0x33,0x1e,0x52,0xd7,0xee,0x2a,0x4d,0x24,0x3f,0x15,0x96,0x2e,0x43,0x28,0x90,0x3a,0x8e,0xd4,0x16,0x9c,0x2e,0x77,0xba,0x64,0xe1,0xd8,0x98,0xeb,0x47,0xfa,0x87,0xc1,0x3b,0x0c,0xc2,0x86,0xea,0x15,0x01,0x47,0x6d,0x25,0xd1,0x46,0x6c,0xcb,0xb7,0x8a,0x99,0x88,0x01,0x66,0x3a,0xb5,0x32,0x78,0xd7,0x03,0xba,0x6f,0x90,0xce,0x81,0x0d,0x45}, + {0x75,0x52,0x20,0xa6,0xa1,0xb6,0x7b,0x6e,0x83,0x8e,0x3c,0x41,0xd7,0x21,0x4f,0xaa,0xb2,0x5c,0x8f,0xe8,0x55,0xd1,0x56,0x6f,0xe1,0x5b,0x34,0xa6,0x4b,0x5d,0xe2,0x2d,0x3f,0x74,0xae,0x1c,0x96,0xd8,0x74,0xd0,0xed,0x63,0x1c,0xee,0xf5,0x18,0x6d,0xf8,0x29,0xed,0xf4,0xe7,0x5b,0xc5,0xbd,0x97,0x08,0xb1,0x3a,0x66,0x79,0xd2,0xba,0x4c,0xcd,0x1f,0xd7,0xa0,0x24,0x90,0xd1,0x80,0xf8,0x8a,0x28,0xfb,0x0a,0xc2,0x25,0xc5,0x19,0x64,0x3a,0x5f,0x4b,0x97,0xa3,0xb1,0x33,0x72,0x00,0xe2,0xef,0xbc,0x7f,0x7d}, + {0x01,0x28,0x6b,0x26,0x6a,0x1e,0xef,0xfa,0x16,0x9f,0x73,0xd5,0xc4,0x68,0x6c,0x86,0x2c,0x76,0x03,0x1b,0xbc,0x2f,0x8a,0xf6,0x8d,0x5a,0xb7,0x87,0x5e,0x43,0x75,0x59,0x94,0x90,0xc2,0xf3,0xc5,0x5d,0x7c,0xcd,0xab,0x05,0x91,0x2a,0x9a,0xa2,0x81,0xc7,0x58,0x30,0x1c,0x42,0x36,0x1d,0xc6,0x80,0xd7,0xd4,0xd8,0xdc,0x96,0xd1,0x9c,0x4f,0x68,0x37,0x7b,0x6a,0xd8,0x97,0x92,0x19,0x63,0x7a,0xd1,0x1a,0x24,0x58,0xd0,0xd0,0x17,0x0c,0x1c,0x5c,0xad,0x9c,0x02,0xba,0x07,0x03,0x7a,0x38,0x84,0xd0,0xcd,0x7c}, + {0x17,0x04,0x26,0x6d,0x2c,0x42,0xa6,0xdc,0xbd,0x40,0x82,0x94,0x50,0x3d,0x15,0xae,0x77,0xc6,0x68,0xfb,0xb4,0xc1,0xc0,0xa9,0x53,0xcf,0xd0,0x61,0xed,0xd0,0x8b,0x42,0x93,0xcc,0x60,0x67,0x18,0x84,0x0c,0x9b,0x99,0x2a,0xb3,0x1a,0x7a,0x00,0xae,0xcd,0x18,0xda,0x0b,0x62,0x86,0xec,0x8d,0xa8,0x44,0xca,0x90,0x81,0x84,0xca,0x93,0x35,0xa7,0x9a,0x84,0x5e,0x9a,0x18,0x13,0x92,0xcd,0xfa,0xd8,0x65,0x35,0xc3,0xd8,0xd4,0xd1,0xbb,0xfd,0x53,0x5b,0x54,0x52,0x8c,0xe6,0x63,0x2d,0xda,0x08,0x83,0x39,0x27}, + {0x13,0xd4,0x5e,0x43,0x28,0x8d,0xc3,0x42,0xc9,0xcc,0x78,0x32,0x60,0xf3,0x50,0xbd,0xef,0x03,0xda,0x79,0x1a,0xab,0x07,0xbb,0x55,0x33,0x8c,0xbe,0xae,0x97,0x95,0x26,0x53,0x24,0x70,0x0a,0x4c,0x0e,0xa1,0xb9,0xde,0x1b,0x7d,0xd5,0x66,0x58,0xa2,0x0f,0xf7,0xda,0x27,0xcd,0xb5,0xd9,0xb9,0xff,0xfd,0x33,0x2c,0x49,0x45,0x29,0x2c,0x57,0xbe,0x30,0xcd,0xd6,0x45,0xc7,0x7f,0xc7,0xfb,0xae,0xba,0xe3,0xd3,0xe8,0xdf,0xe4,0x0c,0xda,0x5d,0xaa,0x30,0x88,0x2c,0xa2,0x80,0xca,0x5b,0xc0,0x98,0x54,0x98,0x7f}, + {0x17,0xe1,0x0b,0x9f,0x88,0xce,0x49,0x38,0x88,0xa2,0x54,0x7b,0x1b,0xad,0x05,0x80,0x1c,0x92,0xfc,0x23,0x9f,0xc3,0xa3,0x3d,0x04,0xf3,0x31,0x0a,0x47,0xec,0xc2,0x76,0x63,0x63,0xbf,0x0f,0x52,0x15,0x56,0xd3,0xa6,0xfb,0x4d,0xcf,0x45,0x5a,0x04,0x08,0xc2,0xa0,0x3f,0x87,0xbc,0x4f,0xc2,0xee,0xe7,0x12,0x9b,0xd6,0x3c,0x65,0xf2,0x30,0x85,0x0c,0xc1,0xaa,0x38,0xc9,0x08,0x8a,0xcb,0x6b,0x27,0xdb,0x60,0x9b,0x17,0x46,0x70,0xac,0x6f,0x0e,0x1e,0xc0,0x20,0xa9,0xda,0x73,0x64,0x59,0xf1,0x73,0x12,0x2f}, + {0x11,0x1e,0xe0,0x8a,0x7c,0xfc,0x39,0x47,0x9f,0xab,0x6a,0x4a,0x90,0x74,0x52,0xfd,0x2e,0x8f,0x72,0x87,0x82,0x8a,0xd9,0x41,0xf2,0x69,0x5b,0xd8,0x2a,0x57,0x9e,0x5d,0xc0,0x0b,0xa7,0x55,0xd7,0x8b,0x48,0x30,0xe7,0x42,0xd4,0xf1,0xa4,0xb5,0xd6,0x06,0x62,0x61,0x59,0xbc,0x9e,0xa6,0xd1,0xea,0x84,0xf7,0xc5,0xed,0x97,0x19,0xac,0x38,0x3b,0xb1,0x51,0xa7,0x17,0xb5,0x66,0x06,0x8c,0x85,0x9b,0x7e,0x86,0x06,0x7d,0x74,0x49,0xde,0x4d,0x45,0x11,0xc0,0xac,0xac,0x9c,0xe6,0xe9,0xbf,0x9c,0xcd,0xdf,0x22}, + {0xd9,0x0c,0x0d,0xc3,0xe0,0xd2,0xdb,0x8d,0x33,0x43,0xbb,0xac,0x5f,0x66,0x8e,0xad,0x1f,0x96,0x2a,0x32,0x8c,0x25,0x6b,0x8f,0xc7,0xc1,0x48,0x54,0xc0,0x16,0x29,0x6b,0xa1,0xe0,0x3b,0x10,0xb4,0x59,0xec,0x56,0x69,0xf9,0x59,0xd2,0xec,0xba,0xe3,0x2e,0x32,0xcd,0xf5,0x13,0x94,0xb2,0x7c,0x79,0x72,0xe4,0xcd,0x24,0x78,0x87,0xe9,0x0f,0x3b,0x91,0xba,0x0a,0xd1,0x34,0xdb,0x7e,0x0e,0xac,0x6d,0x2e,0x82,0xcd,0xa3,0x4e,0x15,0xf8,0x78,0x65,0xff,0x3d,0x08,0x66,0x17,0x0a,0xf0,0x7f,0x30,0x3f,0x30,0x4c}, + {0x85,0x8c,0xb2,0x17,0xd6,0x3b,0x0a,0xd3,0xea,0x3b,0x77,0x39,0xb7,0x77,0xd3,0xc5,0xbf,0x5c,0x6a,0x1e,0x8c,0xe7,0xc6,0xc6,0xc4,0xb7,0x2a,0x8b,0xf7,0xb8,0x61,0x0d,0x00,0x45,0xd9,0x0d,0x58,0x03,0xfc,0x29,0x93,0xec,0xbb,0x6f,0xa4,0x7a,0xd2,0xec,0xf8,0xa7,0xe2,0xc2,0x5f,0x15,0x0a,0x13,0xd5,0xa1,0x06,0xb7,0x1a,0x15,0x6b,0x41,0xb0,0x36,0xc1,0xe9,0xef,0xd7,0xa8,0x56,0x20,0x4b,0xe4,0x58,0xcd,0xe5,0x07,0xbd,0xab,0xe0,0x57,0x1b,0xda,0x2f,0xe6,0xaf,0xd2,0xe8,0x77,0x42,0xf7,0x2a,0x1a,0x19}, + {0x31,0x14,0x3c,0xc5,0x4b,0xf7,0x16,0xce,0xde,0xed,0x72,0x20,0xce,0x25,0x97,0x2b,0xe7,0x3e,0xb2,0xb5,0x6f,0xc3,0xb9,0xb8,0x08,0xc9,0x5c,0x0b,0x45,0x0e,0x2e,0x7e,0xfb,0x0e,0x46,0x4f,0x43,0x2b,0xe6,0x9f,0xd6,0x07,0x36,0xa6,0xd4,0x03,0xd3,0xde,0x24,0xda,0xa0,0xb7,0x0e,0x21,0x52,0xf0,0x93,0x5b,0x54,0x00,0xbe,0x7d,0x7e,0x23,0x30,0xb4,0x01,0x67,0xed,0x75,0x35,0x01,0x10,0xfd,0x0b,0x9f,0xe6,0x94,0x10,0x23,0x22,0x7f,0xe4,0x83,0x15,0x0f,0x32,0x75,0xe3,0x55,0x11,0xb1,0x99,0xa6,0xaf,0x71}, + {0x1d,0xb6,0x53,0x39,0x9b,0x6f,0xce,0x65,0xe6,0x41,0xa1,0xaf,0xea,0x39,0x58,0xc6,0xfe,0x59,0xf7,0xa9,0xfd,0x5f,0x43,0x0f,0x8e,0xc2,0xb1,0xc2,0xe9,0x42,0x11,0x02,0xd6,0x50,0x3b,0x47,0x1c,0x3c,0x42,0xea,0x10,0xef,0x38,0x3b,0x1f,0x7a,0xe8,0x51,0x95,0xbe,0xc9,0xb2,0x5f,0xbf,0x84,0x9b,0x1c,0x9a,0xf8,0x78,0xbc,0x1f,0x73,0x00,0x80,0x18,0xf8,0x48,0x18,0xc7,0x30,0xe4,0x19,0xc1,0xce,0x5e,0x22,0x0c,0x96,0xbf,0xe3,0x15,0xba,0x6b,0x83,0xe0,0xda,0xb6,0x08,0x58,0xe1,0x47,0x33,0x6f,0x4d,0x4c}, + {0xc9,0x1f,0x7d,0xc1,0xcf,0xec,0xf7,0x18,0x14,0x3c,0x40,0x51,0xa6,0xf5,0x75,0x6c,0xdf,0x0c,0xee,0xf7,0x2b,0x71,0xde,0xdb,0x22,0x7a,0xe4,0xa7,0xaa,0xdd,0x3f,0x19,0x70,0x19,0x8f,0x98,0xfc,0xdd,0x0c,0x2f,0x1b,0xf5,0xb9,0xb0,0x27,0x62,0x91,0x6b,0xbe,0x76,0x91,0x77,0xc4,0xb6,0xc7,0x6e,0xa8,0x9f,0x8f,0xa8,0x00,0x95,0xbf,0x38,0x6f,0x87,0xe8,0x37,0x3c,0xc9,0xd2,0x1f,0x2c,0x46,0xd1,0x18,0x5a,0x1e,0xf6,0xa2,0x76,0x12,0x24,0x39,0x82,0xf5,0x80,0x50,0x69,0x49,0x0d,0xbf,0x9e,0xb9,0x6f,0x6a}, + {0xeb,0x55,0x08,0x56,0xbb,0xc1,0x46,0x6a,0x9d,0xf0,0x93,0xf8,0x38,0xbb,0x16,0x24,0xc1,0xac,0x71,0x8f,0x37,0x11,0x1d,0xd7,0xea,0x96,0x18,0xa3,0x14,0x69,0xf7,0x75,0xc6,0x23,0xe4,0xb6,0xb5,0x22,0xb1,0xee,0x8e,0xff,0x86,0xf2,0x10,0x70,0x9d,0x93,0x8c,0x5d,0xcf,0x1d,0x83,0x2a,0xa9,0x90,0x10,0xeb,0xc5,0x42,0x9f,0xda,0x6f,0x13,0xd1,0xbd,0x05,0xa3,0xb1,0xdf,0x4c,0xf9,0x08,0x2c,0xf8,0x9f,0x9d,0x4b,0x36,0x0f,0x8a,0x58,0xbb,0xc3,0xa5,0xd8,0x87,0x2a,0xba,0xdc,0xe8,0x0b,0x51,0x83,0x21,0x02}, + {0x14,0x2d,0xad,0x5e,0x38,0x66,0xf7,0x4a,0x30,0x58,0x7c,0xca,0x80,0xd8,0x8e,0xa0,0x3d,0x1e,0x21,0x10,0xe6,0xa6,0x13,0x0d,0x03,0x6c,0x80,0x7b,0xe1,0x1c,0x07,0x6a,0x7f,0x7a,0x30,0x43,0x01,0x71,0x5a,0x9d,0x5f,0xa4,0x7d,0xc4,0x9e,0xde,0x63,0xb0,0xd3,0x7a,0x92,0xbe,0x52,0xfe,0xbb,0x22,0x6c,0x42,0x40,0xfd,0x41,0xc4,0x87,0x13,0xf8,0x8a,0x97,0x87,0xd1,0xc3,0xd3,0xb5,0x13,0x44,0x0e,0x7f,0x3d,0x5a,0x2b,0x72,0xa0,0x7c,0x47,0xbb,0x48,0x48,0x7b,0x0d,0x92,0xdc,0x1e,0xaf,0x6a,0xb2,0x71,0x31}, + {0xa8,0x4c,0x56,0x97,0x90,0x31,0x2f,0xa9,0x19,0xe1,0x75,0x22,0x4c,0xb8,0x7b,0xff,0x50,0x51,0x87,0xa4,0x37,0xfe,0x55,0x4f,0x5a,0x83,0xf0,0x3c,0x87,0xd4,0x1f,0x22,0xd1,0x47,0x8a,0xb2,0xd8,0xb7,0x0d,0xa6,0xf1,0xa4,0x70,0x17,0xd6,0x14,0xbf,0xa6,0x58,0xbd,0xdd,0x53,0x93,0xf8,0xa1,0xd4,0xe9,0x43,0x42,0x34,0x63,0x4a,0x51,0x6c,0x41,0x63,0x15,0x3a,0x4f,0x20,0x22,0x23,0x2d,0x03,0x0a,0xba,0xe9,0xe0,0x73,0xfb,0x0e,0x03,0x0f,0x41,0x4c,0xdd,0xe0,0xfc,0xaa,0x4a,0x92,0xfb,0x96,0xa5,0xda,0x48}, + {0xc7,0x9c,0xa5,0x5c,0x66,0x8e,0xca,0x6e,0xa0,0xac,0x38,0x2e,0x4b,0x25,0x47,0xa8,0xce,0x17,0x1e,0xd2,0x08,0xc7,0xaf,0x31,0xf7,0x4a,0xd8,0xca,0xfc,0xd6,0x6d,0x67,0x93,0x97,0x4c,0xc8,0x5d,0x1d,0xf6,0x14,0x06,0x82,0x41,0xef,0xe3,0xf9,0x41,0x99,0xac,0x77,0x62,0x34,0x8f,0xb8,0xf5,0xcd,0xa9,0x79,0x8a,0x0e,0xfa,0x37,0xc8,0x58,0x58,0x90,0xfc,0x96,0x85,0x68,0xf9,0x0c,0x1b,0xa0,0x56,0x7b,0xf3,0xbb,0xdc,0x1d,0x6a,0xd6,0x35,0x49,0x7d,0xe7,0xc2,0xdc,0x0a,0x7f,0xa5,0xc6,0xf2,0x73,0x4f,0x1c}, + {0xbb,0xa0,0x5f,0x30,0xbd,0x4f,0x7a,0x0e,0xad,0x63,0xc6,0x54,0xe0,0x4c,0x9d,0x82,0x48,0x38,0xe3,0x2f,0x83,0xc3,0x21,0xf4,0x42,0x4c,0xf6,0x1b,0x0d,0xc8,0x5a,0x79,0x84,0x34,0x7c,0xfc,0x6e,0x70,0x6e,0xb3,0x61,0xcf,0xc1,0xc3,0xb4,0xc9,0xdf,0x73,0xe5,0xc7,0x1c,0x78,0xc9,0x79,0x1d,0xeb,0x5c,0x67,0xaf,0x7d,0xdb,0x9a,0x45,0x70,0xb3,0x2b,0xb4,0x91,0x49,0xdb,0x91,0x1b,0xca,0xdc,0x02,0x4b,0x23,0x96,0x26,0x57,0xdc,0x78,0x8c,0x1f,0xe5,0x9e,0xdf,0x9f,0xd3,0x1f,0xe2,0x8c,0x84,0x62,0xe1,0x5f}, + {0x1a,0x96,0x94,0xe1,0x4f,0x21,0x59,0x4e,0x4f,0xcd,0x71,0x0d,0xc7,0x7d,0xbe,0x49,0x2d,0xf2,0x50,0x3b,0xd2,0xcf,0x00,0x93,0x32,0x72,0x91,0xfc,0x46,0xd4,0x89,0x47,0x08,0xb2,0x7c,0x5d,0x2d,0x85,0x79,0x28,0xe7,0xf2,0x7d,0x68,0x70,0xdd,0xde,0xb8,0x91,0x78,0x68,0x21,0xab,0xff,0x0b,0xdc,0x35,0xaa,0x7d,0x67,0x43,0xc0,0x44,0x2b,0x8e,0xb7,0x4e,0x07,0xab,0x87,0x1c,0x1a,0x67,0xf4,0xda,0x99,0x8e,0xd1,0xc6,0xfa,0x67,0x90,0x4f,0x48,0xcd,0xbb,0xac,0x3e,0xe4,0xa4,0xb9,0x2b,0xef,0x2e,0xc5,0x60}, + {0xf1,0x8b,0xfd,0x3b,0xbc,0x89,0x5d,0x0b,0x1a,0x55,0xf3,0xc9,0x37,0x92,0x6b,0xb0,0xf5,0x28,0x30,0xd5,0xb0,0x16,0x4c,0x0e,0xab,0xca,0xcf,0x2c,0x31,0x9c,0xbc,0x10,0x11,0x6d,0xae,0x7c,0xc2,0xc5,0x2b,0x70,0xab,0x8c,0xa4,0x54,0x9b,0x69,0xc7,0x44,0xb2,0x2e,0x49,0xba,0x56,0x40,0xbc,0xef,0x6d,0x67,0xb6,0xd9,0x48,0x72,0xd7,0x70,0x5b,0xa0,0xc2,0x3e,0x4b,0xe8,0x8a,0xaa,0xe0,0x81,0x17,0xed,0xf4,0x9e,0x69,0x98,0xd1,0x85,0x8e,0x70,0xe4,0x13,0x45,0x79,0x13,0xf4,0x76,0xa9,0xd3,0x5b,0x75,0x63}, + {0x53,0x08,0xd1,0x2a,0x3e,0xa0,0x5f,0xb5,0x69,0x35,0xe6,0x9e,0x90,0x75,0x6f,0x35,0x90,0xb8,0x69,0xbe,0xfd,0xf1,0xf9,0x9f,0x84,0x6f,0xc1,0x8b,0xc4,0xc1,0x8c,0x0d,0xb7,0xac,0xf1,0x97,0x18,0x10,0xc7,0x3d,0xd8,0xbb,0x65,0xc1,0x5e,0x7d,0xda,0x5d,0x0f,0x02,0xa1,0x0f,0x9c,0x5b,0x8e,0x50,0x56,0x2a,0xc5,0x37,0x17,0x75,0x63,0x27,0xa9,0x19,0xb4,0x6e,0xd3,0x02,0x94,0x02,0xa5,0x60,0xb4,0x77,0x7e,0x4e,0xb4,0xf0,0x56,0x49,0x3c,0xd4,0x30,0x62,0xa8,0xcf,0xe7,0x66,0xd1,0x7a,0x8a,0xdd,0xc2,0x70}, + {0x0e,0xec,0x6f,0x9f,0x50,0x94,0x61,0x65,0x8d,0x51,0xc6,0x46,0xa9,0x7e,0x2e,0xee,0x5c,0x9b,0xe0,0x67,0xf3,0xc1,0x33,0x97,0x95,0x84,0x94,0x63,0x63,0xac,0x0f,0x2e,0x13,0x7e,0xed,0xb8,0x7d,0x96,0xd4,0x91,0x7a,0x81,0x76,0xd7,0x0a,0x2f,0x25,0x74,0x64,0x25,0x85,0x0d,0xe0,0x82,0x09,0xe4,0xe5,0x3c,0xa5,0x16,0x38,0x61,0xb8,0x32,0x64,0xcd,0x48,0xe4,0xbe,0xf7,0xe7,0x79,0xd0,0x86,0x78,0x08,0x67,0x3a,0xc8,0x6a,0x2e,0xdb,0xe4,0xa0,0xd9,0xd4,0x9f,0xf8,0x41,0x4f,0x5a,0x73,0x5c,0x21,0x79,0x41}, + {0x2a,0xed,0xdc,0xd7,0xe7,0x94,0x70,0x8c,0x70,0x9c,0xd3,0x47,0xc3,0x8a,0xfb,0x97,0x02,0xd9,0x06,0xa9,0x33,0xe0,0x3b,0xe1,0x76,0x9d,0xd9,0x0c,0xa3,0x44,0x03,0x70,0x34,0xcd,0x6b,0x28,0xb9,0x33,0xae,0xe4,0xdc,0xd6,0x9d,0x55,0xb6,0x7e,0xef,0xb7,0x1f,0x8e,0xd3,0xb3,0x1f,0x14,0x8b,0x27,0x86,0xc2,0x41,0x22,0x66,0x85,0xfa,0x31,0xf4,0x22,0x36,0x2e,0x42,0x6c,0x82,0xaf,0x2d,0x50,0x33,0x98,0x87,0x29,0x20,0xc1,0x23,0x91,0x38,0x2b,0xe1,0xb7,0xc1,0x9b,0x89,0x24,0x95,0xa9,0x12,0x23,0xbb,0x24}, + {0xc3,0x67,0xde,0x32,0x17,0xed,0xa8,0xb1,0x48,0x49,0x1b,0x46,0x18,0x94,0xb4,0x3c,0xd2,0xbc,0xcf,0x76,0x43,0x43,0xbd,0x8e,0x08,0x80,0x18,0x1e,0x87,0x3e,0xee,0x0f,0x6b,0x5c,0xf8,0xf5,0x2a,0x0c,0xf8,0x41,0x94,0x67,0xfa,0x04,0xc3,0x84,0x72,0x68,0xad,0x1b,0xba,0xa3,0x99,0xdf,0x45,0x89,0x16,0x5d,0xeb,0xff,0xf9,0x2a,0x1d,0x0d,0xdf,0x1e,0x62,0x32,0xa1,0x8a,0xda,0xa9,0x79,0x65,0x22,0x59,0xa1,0x22,0xb8,0x30,0x93,0xc1,0x9a,0xa7,0x7b,0x19,0x04,0x40,0x76,0x1d,0x53,0x18,0x97,0xd7,0xac,0x16}, + {0x3d,0x1d,0x9b,0x2d,0xaf,0x72,0xdf,0x72,0x5a,0x24,0x32,0xa4,0x36,0x2a,0x46,0x63,0x37,0x96,0xb3,0x16,0x79,0xa0,0xce,0x3e,0x09,0x23,0x30,0xb9,0xf6,0x0e,0x3e,0x12,0xad,0xb6,0x87,0x78,0xc5,0xc6,0x59,0xc9,0xba,0xfe,0x90,0x5f,0xad,0x9e,0xe1,0x94,0x04,0xf5,0x42,0xa3,0x62,0x4e,0xe2,0x16,0x00,0x17,0x16,0x18,0x4b,0xd3,0x4e,0x16,0x9a,0xe6,0x2f,0x19,0x4c,0xd9,0x7e,0x48,0x13,0x15,0x91,0x3a,0xea,0x2c,0xae,0x61,0x27,0xde,0xa4,0xb9,0xd3,0xf6,0x7b,0x87,0xeb,0xf3,0x73,0x10,0xc6,0x0f,0xda,0x78}, + {0x6a,0xc6,0x2b,0xe5,0x28,0x5d,0xf1,0x5b,0x8e,0x1a,0xf0,0x70,0x18,0xe3,0x47,0x2c,0xdd,0x8b,0xc2,0x06,0xbc,0xaf,0x19,0x24,0x3a,0x17,0x6b,0x25,0xeb,0xde,0x25,0x2d,0x94,0x3a,0x0c,0x68,0xf1,0x80,0x9f,0xa2,0xe6,0xe7,0xe9,0x1a,0x15,0x7e,0xf7,0x71,0x73,0x79,0x01,0x48,0x58,0xf1,0x00,0x11,0xdd,0x8d,0xb3,0x16,0xb3,0xa4,0x4a,0x05,0xb8,0x7c,0x26,0x19,0x8d,0x46,0xc8,0xdf,0xaf,0x4d,0xe5,0x66,0x9c,0x78,0x28,0x0b,0x17,0xec,0x6e,0x66,0x2a,0x1d,0xeb,0x2a,0x60,0xa7,0x7d,0xab,0xa6,0x10,0x46,0x13}, + {0xfe,0xb0,0xf6,0x8d,0xc7,0x8e,0x13,0x51,0x1b,0xf5,0x75,0xe5,0x89,0xda,0x97,0x53,0xb9,0xf1,0x7a,0x71,0x1d,0x7a,0x20,0x09,0x50,0xd6,0x20,0x2b,0xba,0xfd,0x02,0x21,0x15,0xf5,0xd1,0x77,0xe7,0x65,0x2a,0xcd,0xf1,0x60,0xaa,0x8f,0x87,0x91,0x89,0x54,0xe5,0x06,0xbc,0xda,0xbc,0x3b,0xb7,0xb1,0xfb,0xc9,0x7c,0xa9,0xcb,0x78,0x48,0x65,0xa1,0xe6,0x5c,0x05,0x05,0xe4,0x9e,0x96,0x29,0xad,0x51,0x12,0x68,0xa7,0xbc,0x36,0x15,0xa4,0x7d,0xaa,0x17,0xf5,0x1a,0x3a,0xba,0xb2,0xec,0x29,0xdb,0x25,0xd7,0x0a}, + {0x57,0x24,0x4e,0x83,0xb1,0x67,0x42,0xdc,0xc5,0x1b,0xce,0x70,0xb5,0x44,0x75,0xb6,0xd7,0x5e,0xd1,0xf7,0x0b,0x7a,0xf0,0x1a,0x50,0x36,0xa0,0x71,0xfb,0xcf,0xef,0x4a,0x85,0x6f,0x05,0x9b,0x0c,0xbc,0xc7,0xfe,0xd7,0xff,0xf5,0xe7,0x68,0x52,0x7d,0x53,0xfa,0xae,0x12,0x43,0x62,0xc6,0xaf,0x77,0xd9,0x9f,0x39,0x02,0x53,0x5f,0x67,0x4f,0x1e,0x17,0x15,0x04,0x36,0x36,0x2d,0xc3,0x3b,0x48,0x98,0x89,0x11,0xef,0x2b,0xcd,0x10,0x51,0x94,0xd0,0xad,0x6e,0x0a,0x87,0x61,0x65,0xa8,0xa2,0x72,0xbb,0xcc,0x0b}, + {0xc8,0xa9,0xb1,0xea,0x2f,0x96,0x5e,0x18,0xcd,0x7d,0x14,0x65,0x35,0xe6,0xe7,0x86,0xf2,0x6d,0x5b,0xbb,0x31,0xe0,0x92,0xb0,0x3e,0xb7,0xd6,0x59,0xab,0xf0,0x24,0x40,0x96,0x12,0xfe,0x50,0x4c,0x5e,0x6d,0x18,0x7e,0x9f,0xe8,0xfe,0x82,0x7b,0x39,0xe0,0xb0,0x31,0x70,0x50,0xc5,0xf6,0xc7,0x3b,0xc2,0x37,0x8f,0x10,0x69,0xfd,0x78,0x66,0xc2,0x63,0x68,0x63,0x31,0xfa,0x86,0x15,0xf2,0x33,0x2d,0x57,0x48,0x8c,0xf6,0x07,0xfc,0xae,0x9e,0x78,0x9f,0xcc,0x73,0x4f,0x01,0x47,0xad,0x8e,0x10,0xe2,0x42,0x2d}, + {0x9b,0xd2,0xdf,0x94,0x15,0x13,0xf5,0x97,0x6a,0x4c,0x3f,0x31,0x5d,0x98,0x55,0x61,0x10,0x50,0x45,0x08,0x07,0x3f,0xa1,0xeb,0x22,0xd3,0xd2,0xb8,0x08,0x26,0x6b,0x67,0x93,0x75,0x53,0x0f,0x0d,0x7b,0x71,0x21,0x4c,0x06,0x1e,0x13,0x0b,0x69,0x4e,0x91,0x9f,0xe0,0x2a,0x75,0xae,0x87,0xb6,0x1b,0x6e,0x3c,0x42,0x9b,0xa7,0xf3,0x0b,0x42,0x47,0x2b,0x5b,0x1c,0x65,0xba,0x38,0x81,0x80,0x1b,0x1b,0x31,0xec,0xb6,0x71,0x86,0xb0,0x35,0x31,0xbc,0xb1,0x0c,0xff,0x7b,0xe0,0xf1,0x0c,0x9c,0xfa,0x2f,0x5d,0x74}, + {0xbd,0xc8,0xc9,0x2b,0x1e,0x5a,0x52,0xbf,0x81,0x9d,0x47,0x26,0x08,0x26,0x5b,0xea,0xdb,0x55,0x01,0xdf,0x0e,0xc7,0x11,0xd5,0xd0,0xf5,0x0c,0x96,0xeb,0x3c,0xe2,0x1a,0x6a,0x4e,0xd3,0x21,0x57,0xdf,0x36,0x60,0xd0,0xb3,0x7b,0x99,0x27,0x88,0xdb,0xb1,0xfa,0x6a,0x75,0xc8,0xc3,0x09,0xc2,0xd3,0x39,0xc8,0x1d,0x4c,0xe5,0x5b,0xe1,0x06,0x4a,0x99,0x32,0x19,0x87,0x5d,0x72,0x5b,0xb0,0xda,0xb1,0xce,0xb5,0x1c,0x35,0x32,0x05,0xca,0xb7,0xda,0x49,0x15,0xc4,0x7d,0xf7,0xc1,0x8e,0x27,0x61,0xd8,0xde,0x58}, + {0x5c,0xc5,0x66,0xf2,0x93,0x37,0x17,0xd8,0x49,0x4e,0x45,0xcc,0xc5,0x76,0xc9,0xc8,0xa8,0xc3,0x26,0xbc,0xf8,0x82,0xe3,0x5c,0xf9,0xf6,0x85,0x54,0xe8,0x9d,0xf3,0x2f,0xa8,0xc9,0xc2,0xb6,0xa8,0x5b,0xfb,0x2d,0x8c,0x59,0x2c,0xf5,0x8e,0xef,0xee,0x48,0x73,0x15,0x2d,0xf1,0x07,0x91,0x80,0x33,0xd8,0x5b,0x1d,0x53,0x6b,0x69,0xba,0x08,0x7a,0xc5,0xef,0xc3,0xee,0x3e,0xed,0x77,0x11,0x48,0xff,0xd4,0x17,0x55,0xe0,0x04,0xcb,0x71,0xa6,0xf1,0x3f,0x7a,0x3d,0xea,0x54,0xfe,0x7c,0x94,0xb4,0x33,0x06,0x12}, + {0x42,0x00,0x61,0x91,0x78,0x98,0x94,0x0b,0xe8,0xfa,0xeb,0xec,0x3c,0xb1,0xe7,0x4e,0xc0,0xa4,0xf0,0x94,0x95,0x73,0xbe,0x70,0x85,0x91,0xd5,0xb4,0x99,0x0a,0xd3,0x35,0x0a,0x10,0x12,0x49,0x47,0x31,0xbd,0x82,0x06,0xbe,0x6f,0x7e,0x6d,0x7b,0x23,0xde,0xc6,0x79,0xea,0x11,0x19,0x76,0x1e,0xe1,0xde,0x3b,0x39,0xcb,0xe3,0x3b,0x43,0x07,0xf4,0x97,0xe9,0x5c,0xc0,0x44,0x79,0xff,0xa3,0x51,0x5c,0xb0,0xe4,0x3d,0x5d,0x57,0x7c,0x84,0x76,0x5a,0xfd,0x81,0x33,0x58,0x9f,0xda,0xf6,0x7a,0xde,0x3e,0x87,0x2d}, + {0x09,0x34,0x37,0x43,0x64,0x31,0x7a,0x15,0xd9,0x81,0xaa,0xf4,0xee,0xb7,0xb8,0xfa,0x06,0x48,0xa6,0xf5,0xe6,0xfe,0x93,0xb0,0xb6,0xa7,0x7f,0x70,0x54,0x36,0x77,0x2e,0x81,0xf9,0x5d,0x4e,0xe1,0x02,0x62,0xaa,0xf5,0xe1,0x15,0x50,0x17,0x59,0x0d,0xa2,0x6c,0x1d,0xe2,0xba,0xd3,0x75,0xa2,0x18,0x53,0x02,0x60,0x01,0x8a,0x61,0x43,0x05,0xc1,0x23,0x4c,0x97,0xf4,0xbd,0xea,0x0d,0x93,0x46,0xce,0x9d,0x25,0x0a,0x6f,0xaa,0x2c,0xba,0x9a,0xa2,0xb8,0x2c,0x20,0x04,0x0d,0x96,0x07,0x2d,0x36,0x43,0x14,0x4b}, + {0x7a,0x1f,0x6e,0xb6,0xc7,0xb7,0xc4,0xcc,0x7e,0x2f,0x0c,0xf5,0x25,0x7e,0x15,0x44,0x1c,0xaf,0x3e,0x71,0xfc,0x6d,0xf0,0x3e,0xf7,0x63,0xda,0x52,0x67,0x44,0x2f,0x58,0xcb,0x9c,0x52,0x1c,0xe9,0x54,0x7c,0x96,0xfb,0x35,0xc6,0x64,0x92,0x26,0xf6,0x30,0x65,0x19,0x12,0x78,0xf4,0xaf,0x47,0x27,0x5c,0x6f,0xf6,0xea,0x18,0x84,0x03,0x17,0xe4,0x4c,0x32,0x20,0xd3,0x7b,0x31,0xc6,0xc4,0x8b,0x48,0xa4,0xe8,0x42,0x10,0xa8,0x64,0x13,0x5a,0x4e,0x8b,0xf1,0x1e,0xb2,0xc9,0x8d,0xa2,0xcd,0x4b,0x1c,0x2a,0x0c}, + {0x47,0x04,0x1f,0x6f,0xd0,0xc7,0x4d,0xd2,0x59,0xc0,0x87,0xdb,0x3e,0x9e,0x26,0xb2,0x8f,0xd2,0xb2,0xfb,0x72,0x02,0x5b,0xd1,0x77,0x48,0xf6,0xc6,0xd1,0x8b,0x55,0x7c,0x45,0x69,0xbd,0x69,0x48,0x81,0xc4,0xed,0x22,0x8d,0x1c,0xbe,0x7d,0x90,0x6d,0x0d,0xab,0xc5,0x5c,0xd5,0x12,0xd2,0x3b,0xc6,0x83,0xdc,0x14,0xa3,0x30,0x9b,0x6a,0x5a,0x3d,0x46,0x96,0xd3,0x24,0x15,0xec,0xd0,0xf0,0x24,0x5a,0xc3,0x8a,0x62,0xbb,0x12,0xa4,0x5f,0xbc,0x1c,0x79,0x3a,0x0c,0xa5,0xc3,0xaf,0xfb,0x0a,0xca,0xa5,0x04,0x04}, + {0xd6,0x43,0xa7,0x0a,0x07,0x40,0x1f,0x8c,0xe8,0x5e,0x26,0x5b,0xcb,0xd0,0xba,0xcc,0xde,0xd2,0x8f,0x66,0x6b,0x04,0x4b,0x57,0x33,0x96,0xdd,0xca,0xfd,0x5b,0x39,0x46,0xd1,0x6f,0x41,0x2a,0x1b,0x9e,0xbc,0x62,0x8b,0x59,0x50,0xe3,0x28,0xf7,0xc6,0xb5,0x67,0x69,0x5d,0x3d,0xd8,0x3f,0x34,0x04,0x98,0xee,0xf8,0xe7,0x16,0x75,0x52,0x39,0x9c,0x9a,0x5d,0x1a,0x2d,0xdb,0x7f,0x11,0x2a,0x5c,0x00,0xd1,0xbc,0x45,0x77,0x9c,0xea,0x6f,0xd5,0x54,0xf1,0xbe,0xd4,0xef,0x16,0xd0,0x22,0xe8,0x29,0x9a,0x57,0x76}, + {0x17,0x2a,0xc0,0x49,0x7e,0x8e,0xb6,0x45,0x7f,0xa3,0xa9,0xbc,0xa2,0x51,0xcd,0x23,0x1b,0x4c,0x22,0xec,0x11,0x5f,0xd6,0x3e,0xb1,0xbd,0x05,0x9e,0xdc,0x84,0xa3,0x43,0xf2,0x34,0xb4,0x52,0x13,0xb5,0x3c,0x33,0xe1,0x80,0xde,0x93,0x49,0x28,0x32,0xd8,0xce,0x35,0x0d,0x75,0x87,0x28,0x51,0xb5,0xc1,0x77,0x27,0x2a,0xbb,0x14,0xc5,0x02,0x45,0xb6,0xf1,0x8b,0xda,0xd5,0x4b,0x68,0x53,0x4b,0xb5,0xf6,0x7e,0xd3,0x8b,0xfb,0x53,0xd2,0xb0,0xa9,0xd7,0x16,0x39,0x31,0x59,0x80,0x54,0x61,0x09,0x92,0x60,0x11}, + {0xaa,0xcf,0xda,0x29,0x69,0x16,0x4d,0xb4,0x8f,0x59,0x13,0x84,0x4c,0x9f,0x52,0xda,0x59,0x55,0x3d,0x45,0xca,0x63,0xef,0xe9,0x0b,0x8e,0x69,0xc5,0x5b,0x12,0x1e,0x35,0xcd,0x4d,0x9b,0x36,0x16,0x56,0x38,0x7a,0x63,0x35,0x5c,0x65,0xa7,0x2c,0xc0,0x75,0x21,0x80,0xf1,0xd4,0xf9,0x1b,0xc2,0x7d,0x42,0xe0,0xe6,0x91,0x74,0x7d,0x63,0x2f,0xbe,0x7b,0xf6,0x1a,0x46,0x9b,0xb4,0xd4,0x61,0x89,0xab,0xc8,0x7a,0x03,0x03,0xd6,0xfb,0x99,0xa6,0xf9,0x9f,0xe1,0xde,0x71,0x9a,0x2a,0xce,0xe7,0x06,0x2d,0x18,0x7f}, + {0xec,0x68,0x01,0xab,0x64,0x8e,0x7c,0x7a,0x43,0xc5,0xed,0x15,0x55,0x4a,0x5a,0xcb,0xda,0x0e,0xcd,0x47,0xd3,0x19,0x55,0x09,0xb0,0x93,0x3e,0x34,0x8c,0xac,0xd4,0x67,0x22,0x75,0x21,0x8e,0x72,0x4b,0x45,0x09,0xd8,0xb8,0x84,0xd4,0xf4,0xe8,0x58,0xaa,0x3c,0x90,0x46,0x7f,0x4d,0x25,0x58,0xd3,0x17,0x52,0x1c,0x24,0x43,0xc0,0xac,0x44,0x77,0x57,0x7a,0x4f,0xbb,0x6b,0x7d,0x1c,0xe1,0x13,0x83,0x91,0xd4,0xfe,0x35,0x8b,0x84,0x46,0x6b,0xc9,0xc6,0xa1,0xdc,0x4a,0xbd,0x71,0xad,0x12,0x83,0x1c,0x6d,0x55}, + {0x82,0x39,0x8d,0x0c,0xe3,0x40,0xef,0x17,0x34,0xfa,0xa3,0x15,0x3e,0x07,0xf7,0x31,0x6e,0x64,0x73,0x07,0xcb,0xf3,0x21,0x4f,0xff,0x4e,0x82,0x1d,0x6d,0x6c,0x6c,0x74,0x21,0xe8,0x1b,0xb1,0x56,0x67,0xf0,0x81,0xdd,0xf3,0xa3,0x10,0x23,0xf8,0xaf,0x0f,0x5d,0x46,0x99,0x6a,0x55,0xd0,0xb2,0xf8,0x05,0x7f,0x8c,0xcc,0x38,0xbe,0x7a,0x09,0xa4,0x2d,0xa5,0x7e,0x87,0xc9,0x49,0x0c,0x43,0x1d,0xdc,0x9b,0x55,0x69,0x43,0x4c,0xd2,0xeb,0xcc,0xf7,0x09,0x38,0x2c,0x02,0xbd,0x84,0xee,0x4b,0xa3,0x14,0x7e,0x57}, + {0x0a,0x3b,0xa7,0x61,0xac,0x68,0xe2,0xf0,0xf5,0xa5,0x91,0x37,0x10,0xfa,0xfa,0xf2,0xe9,0x00,0x6d,0x6b,0x82,0x3e,0xe1,0xc1,0x42,0x8f,0xd7,0x6f,0xe9,0x7e,0xfa,0x60,0x2b,0xd7,0x4d,0xbd,0xbe,0xce,0xfe,0x94,0x11,0x22,0x0f,0x06,0xda,0x4f,0x6a,0xf4,0xff,0xd1,0xc8,0xc0,0x77,0x59,0x4a,0x12,0x95,0x92,0x00,0xfb,0xb8,0x04,0x53,0x70,0xc6,0x6e,0x29,0x4d,0x35,0x1d,0x3d,0xb6,0xd8,0x31,0xad,0x5f,0x3e,0x05,0xc3,0xf3,0xec,0x42,0xbd,0xb4,0x8c,0x95,0x0b,0x67,0xfd,0x53,0x63,0xa1,0x0c,0x8e,0x39,0x21}, + {0xf3,0x33,0x2b,0x38,0x8a,0x05,0xf5,0x89,0xb4,0xc0,0x48,0xad,0x0b,0xba,0xe2,0x5a,0x6e,0xb3,0x3d,0xa5,0x03,0xb5,0x93,0x8f,0xe6,0x32,0xa2,0x95,0x9d,0xed,0xa3,0x5a,0x01,0x56,0xb7,0xb4,0xf9,0xaa,0x98,0x27,0x72,0xad,0x8d,0x5c,0x13,0x72,0xac,0x5e,0x23,0xa0,0xb7,0x61,0x61,0xaa,0xce,0xd2,0x4e,0x7d,0x8f,0xe9,0x84,0xb2,0xbf,0x1b,0x61,0x65,0xd9,0xc7,0xe9,0x77,0x67,0x65,0x36,0x80,0xc7,0x72,0x54,0x12,0x2b,0xcb,0xee,0x6e,0x50,0xd9,0x99,0x32,0x05,0x65,0xcc,0x57,0x89,0x5e,0x4e,0xe1,0x07,0x4a}, + {0x99,0xf9,0x0d,0x98,0xcb,0x12,0xe4,0x4e,0x71,0xc7,0x6e,0x3c,0x6f,0xd7,0x15,0xa3,0xfd,0x77,0x5c,0x92,0xde,0xed,0xa5,0xbb,0x02,0x34,0x31,0x1d,0x39,0xac,0x0b,0x3f,0x9b,0xa4,0x77,0xc4,0xcd,0x58,0x0b,0x24,0x17,0xf0,0x47,0x64,0xde,0xda,0x38,0xfd,0xad,0x6a,0xc8,0xa7,0x32,0x8d,0x92,0x19,0x81,0xa0,0xaf,0x84,0xed,0x7a,0xaf,0x50,0xe5,0x5b,0xf6,0x15,0x01,0xde,0x4f,0x6e,0xb2,0x09,0x61,0x21,0x21,0x26,0x98,0x29,0xd9,0xd6,0xad,0x0b,0x81,0x05,0x02,0x78,0x06,0xd0,0xeb,0xba,0x16,0xa3,0x21,0x19}, + {0xfc,0x70,0xb8,0xdf,0x7e,0x2f,0x42,0x89,0xbd,0xb3,0x76,0x4f,0xeb,0x6b,0x29,0x2c,0xf7,0x4d,0xc2,0x36,0xd4,0xf1,0x38,0x07,0xb0,0xae,0x73,0xe2,0x41,0xdf,0x58,0x64,0x8b,0xc1,0xf3,0xd9,0x9a,0xad,0x5a,0xd7,0x9c,0xc1,0xb1,0x60,0xef,0x0e,0x6a,0x56,0xd9,0x0e,0x5c,0x25,0xac,0x0b,0x9a,0x3e,0xf5,0xc7,0x62,0xa0,0xec,0x9d,0x04,0x7b,0x83,0x44,0x44,0x35,0x7a,0xe3,0xcb,0xdc,0x93,0xbe,0xed,0x0f,0x33,0x79,0x88,0x75,0x87,0xdd,0xc5,0x12,0xc3,0x04,0x60,0x78,0x64,0x0e,0x95,0xc2,0xcb,0xdc,0x93,0x60}, + {0x6d,0x70,0xe0,0x85,0x85,0x9a,0xf3,0x1f,0x33,0x39,0xe7,0xb3,0xd8,0xa5,0xd0,0x36,0x3b,0x45,0x8f,0x71,0xe1,0xf2,0xb9,0x43,0x7c,0xa9,0x27,0x48,0x08,0xea,0xd1,0x57,0x4b,0x03,0x84,0x60,0xbe,0xee,0xde,0x6b,0x54,0xb8,0x0f,0x78,0xb6,0xc2,0x99,0x31,0x95,0x06,0x2d,0xb6,0xab,0x76,0x33,0x97,0x90,0x7d,0x64,0x8b,0xc9,0x80,0x31,0x6e,0x71,0xb0,0x28,0xa1,0xe7,0xb6,0x7a,0xee,0xaa,0x8b,0xa8,0x93,0x6d,0x59,0xc1,0xa4,0x30,0x61,0x21,0xb2,0x82,0xde,0xb4,0xf7,0x18,0xbd,0x97,0xdd,0x9d,0x99,0x3e,0x36}, + {0xc4,0x1f,0xee,0x35,0xc1,0x43,0xa8,0x96,0xcf,0xc8,0xe4,0x08,0x55,0xb3,0x6e,0x97,0x30,0xd3,0x8c,0xb5,0x01,0x68,0x2f,0xb4,0x2b,0x05,0x3a,0x69,0x78,0x9b,0xee,0x48,0xc6,0xae,0x4b,0xe2,0xdc,0x48,0x18,0x2f,0x60,0xaf,0xbc,0xba,0x55,0x72,0x9b,0x76,0x31,0xe9,0xef,0x3c,0x6e,0x3c,0xcb,0x90,0x55,0xb3,0xf9,0xc6,0x9b,0x97,0x1f,0x23,0xc6,0xf3,0x2a,0xcc,0x4b,0xde,0x31,0x5c,0x1f,0x8d,0x20,0xfe,0x30,0xb0,0x4b,0xb0,0x66,0xb4,0x4f,0xc1,0x09,0x70,0x8d,0xb7,0x13,0x24,0x79,0x08,0x9b,0xfa,0x9b,0x07}, + {0xf4,0x0d,0x30,0xda,0x51,0x3a,0x90,0xe3,0xb0,0x5a,0xa9,0x3d,0x23,0x64,0x39,0x84,0x80,0x64,0x35,0x0b,0x2d,0xf1,0x3c,0xed,0x94,0x71,0x81,0x84,0xf6,0x77,0x8c,0x03,0x45,0x42,0xd5,0xa2,0x80,0xed,0xc9,0xf3,0x52,0x39,0xf6,0x77,0x78,0x8b,0xa0,0x0a,0x75,0x54,0x08,0xd1,0x63,0xac,0x6d,0xd7,0x6b,0x63,0x70,0x94,0x15,0xfb,0xf4,0x1e,0xec,0x7b,0x16,0x5b,0xe6,0x5e,0x4e,0x85,0xc2,0xcd,0xd0,0x96,0x42,0x0a,0x59,0x59,0x99,0x21,0x10,0x98,0x34,0xdf,0xb2,0x72,0x56,0xff,0x0b,0x4a,0x2a,0xe9,0x5e,0x57}, + {0xcf,0x2f,0x18,0x8a,0x90,0x80,0xc0,0xd4,0xbd,0x9d,0x48,0x99,0xc2,0x70,0xe1,0x30,0xde,0x33,0xf7,0x52,0x57,0xbd,0xba,0x05,0x00,0xfd,0xd3,0x2c,0x11,0xe7,0xd4,0x43,0x01,0xd8,0xa4,0x0a,0x45,0xbc,0x46,0x5d,0xd8,0xb9,0x33,0xa5,0x27,0x12,0xaf,0xc3,0xc2,0x06,0x89,0x2b,0x26,0x3b,0x9e,0x38,0x1b,0x58,0x2f,0x38,0x7e,0x1e,0x0a,0x20,0xc5,0x3a,0xf9,0xea,0x67,0xb9,0x8d,0x51,0xc0,0x52,0x66,0x05,0x9b,0x98,0xbc,0x71,0xf5,0x97,0x71,0x56,0xd9,0x85,0x2b,0xfe,0x38,0x4e,0x1e,0x65,0x52,0xca,0x0e,0x05}, + {0x9c,0x0c,0x3f,0x45,0xde,0x1a,0x43,0xc3,0x9b,0x3b,0x70,0xff,0x5e,0x04,0xf5,0xe9,0x3d,0x7b,0x84,0xed,0xc9,0x7a,0xd9,0xfc,0xc6,0xf4,0x58,0x1c,0xc2,0xe6,0x0e,0x4b,0xea,0x68,0xe6,0x60,0x76,0x39,0xac,0x97,0x97,0xb4,0x3a,0x15,0xfe,0xbb,0x19,0x9b,0x9f,0xa7,0xec,0x34,0xb5,0x79,0xb1,0x4c,0x57,0xae,0x31,0xa1,0x9f,0xc0,0x51,0x61,0x96,0x5d,0xf0,0xfd,0x0d,0x5c,0xf5,0x3a,0x7a,0xee,0xb4,0x2a,0xe0,0x2e,0x26,0xdd,0x09,0x17,0x17,0x12,0x87,0xbb,0xb2,0x11,0x0b,0x03,0x0f,0x80,0xfa,0x24,0xef,0x1f}, + {0x96,0x31,0xa7,0x1a,0xfb,0x53,0xd6,0x37,0x18,0x64,0xd7,0x3f,0x30,0x95,0x94,0x0f,0xb2,0x17,0x3a,0xfb,0x09,0x0b,0x20,0xad,0x3e,0x61,0xc8,0x2f,0x29,0x49,0x4d,0x54,0x86,0x6b,0x97,0x30,0xf5,0xaf,0xd2,0x22,0x04,0x46,0xd2,0xc2,0x06,0xb8,0x90,0x8d,0xe5,0xba,0xe5,0x4d,0x6c,0x89,0xa1,0xdc,0x17,0x0c,0x34,0xc8,0xe6,0x5f,0x00,0x28,0x88,0x86,0x52,0x34,0x9f,0xba,0xef,0x6a,0xa1,0x7d,0x10,0x25,0x94,0xff,0x1b,0x5c,0x36,0x4b,0xd9,0x66,0xcd,0xbb,0x5b,0xf7,0xfa,0x6d,0x31,0x0f,0x93,0x72,0xe4,0x72}, + {0x4f,0x08,0x81,0x97,0x8c,0x20,0x95,0x26,0xe1,0x0e,0x45,0x23,0x0b,0x2a,0x50,0xb1,0x02,0xde,0xef,0x03,0xa6,0xae,0x9d,0xfd,0x4c,0xa3,0x33,0x27,0x8c,0x2e,0x9d,0x5a,0x27,0x76,0x2a,0xd3,0x35,0xf6,0xf3,0x07,0xf0,0x66,0x65,0x5f,0x86,0x4d,0xaa,0x7a,0x50,0x44,0xd0,0x28,0x97,0xe7,0x85,0x3c,0x38,0x64,0xe0,0x0f,0x00,0x7f,0xee,0x1f,0xe5,0xf7,0xdb,0x03,0xda,0x05,0x53,0x76,0xbd,0xcd,0x34,0x14,0x49,0xf2,0xda,0xa4,0xec,0x88,0x4a,0xd2,0xcd,0xd5,0x4a,0x7b,0x43,0x05,0x04,0xee,0x51,0x40,0xf9,0x00}, + {0xb2,0x30,0xd3,0xc3,0x23,0x6b,0x35,0x8d,0x06,0x1b,0x47,0xb0,0x9b,0x8b,0x1c,0xf2,0x3c,0xb8,0x42,0x6e,0x6c,0x31,0x6c,0xb3,0x0d,0xb1,0xea,0x8b,0x7e,0x9c,0xd7,0x07,0x53,0x97,0xaf,0x07,0xbb,0x93,0xef,0xd7,0xa7,0x66,0xb7,0x3d,0xcf,0xd0,0x3e,0x58,0xc5,0x1e,0x0b,0x6e,0xbf,0x98,0x69,0xce,0x52,0x04,0xd4,0x5d,0xd2,0xff,0xb7,0x47,0x12,0xdd,0x08,0xbc,0x9c,0xfb,0xfb,0x87,0x9b,0xc2,0xee,0xe1,0x3a,0x6b,0x06,0x8a,0xbf,0xc1,0x1f,0xdb,0x2b,0x24,0x57,0x0d,0xb6,0x4b,0xa6,0x5e,0xa3,0x20,0x35,0x1c}, + {0x4a,0xa3,0xcb,0xbc,0xa6,0x53,0xd2,0x80,0x9b,0x21,0x38,0x38,0xa1,0xc3,0x61,0x3e,0x96,0xe3,0x82,0x98,0x01,0xb6,0xc3,0x90,0x6f,0xe6,0x0e,0x5d,0x77,0x05,0x3d,0x1c,0x59,0xc0,0x6b,0x21,0x40,0x6f,0xa8,0xcd,0x7e,0xd8,0xbc,0x12,0x1d,0x23,0xbb,0x1f,0x90,0x09,0xc7,0x17,0x9e,0x6a,0x95,0xb4,0x55,0x2e,0xd1,0x66,0x3b,0x0c,0x75,0x38,0x1a,0xe5,0x22,0x94,0x40,0xf1,0x2e,0x69,0x71,0xf6,0x5d,0x2b,0x3c,0xc7,0xc0,0xcb,0x29,0xe0,0x4c,0x74,0xe7,0x4f,0x01,0x21,0x7c,0x48,0x30,0xd3,0xc7,0xe2,0x21,0x06}, + {0x8d,0x83,0x59,0x82,0xcc,0x60,0x98,0xaf,0xdc,0x9a,0x9f,0xc6,0xc1,0x48,0xea,0x90,0x30,0x1e,0x58,0x65,0x37,0x48,0x26,0x65,0xbc,0xa5,0xd3,0x7b,0x09,0xd6,0x07,0x00,0xf3,0xf0,0xdb,0xb0,0x96,0x17,0xae,0xb7,0x96,0xe1,0x7c,0xe1,0xb9,0xaf,0xdf,0x54,0xb4,0xa3,0xaa,0xe9,0x71,0x30,0x92,0x25,0x9d,0x2e,0x00,0xa1,0x9c,0x58,0x8e,0x5d,0x4b,0xa9,0x42,0x08,0x95,0x1d,0xbf,0xc0,0x3e,0x2e,0x8f,0x58,0x63,0xc3,0xd3,0xb2,0xef,0xe2,0x51,0xbb,0x38,0x14,0x96,0x0a,0x86,0xbf,0x1c,0x3c,0x78,0xd7,0x83,0x15}, + {0xe1,0x7a,0xa2,0x5d,0xef,0xa2,0xee,0xec,0x74,0x01,0x67,0x55,0x14,0x3a,0x7c,0x59,0x7a,0x16,0x09,0x66,0x12,0x2a,0xa6,0xc9,0x70,0x8f,0xed,0x81,0x2e,0x5f,0x2a,0x25,0xc7,0x28,0x9d,0xcc,0x04,0x47,0x03,0x90,0x8f,0xc5,0x2c,0xf7,0x9e,0x67,0x1b,0x1d,0x26,0x87,0x5b,0xbe,0x5f,0x2b,0xe1,0x16,0x0a,0x58,0xc5,0x83,0x4e,0x06,0x58,0x49,0x0d,0xe8,0x66,0x50,0x26,0x94,0x28,0x0d,0x6b,0x8c,0x7c,0x30,0x85,0xf7,0xc3,0xfc,0xfd,0x12,0x11,0x0c,0x78,0xda,0x53,0x1b,0x88,0xb3,0x43,0xd8,0x0b,0x17,0x9c,0x07}, + {0xff,0x6f,0xfa,0x64,0xe4,0xec,0x06,0x05,0x23,0xe5,0x05,0x62,0x1e,0x43,0xe3,0xbe,0x42,0xea,0xb8,0x51,0x24,0x42,0x79,0x35,0x00,0xfb,0xc9,0x4a,0xe3,0x05,0xec,0x6d,0x56,0xd0,0xd5,0xc0,0x50,0xcd,0xd6,0xcd,0x3b,0x57,0x03,0xbb,0x6d,0x68,0xf7,0x9a,0x48,0xef,0xc3,0xf3,0x3f,0x72,0xa6,0x3c,0xcc,0x8a,0x7b,0x31,0xd7,0xc0,0x68,0x67,0xb3,0xc1,0x55,0xf1,0xe5,0x25,0xb6,0x94,0x91,0x7b,0x7b,0x99,0xa7,0xf3,0x7b,0x41,0x00,0x26,0x6b,0x6d,0xdc,0xbd,0x2c,0xc2,0xf4,0x52,0xcd,0xdd,0x14,0x5e,0x44,0x51}, + {0x51,0x49,0x14,0x3b,0x4b,0x2b,0x50,0x57,0xb3,0xbc,0x4b,0x44,0x6b,0xff,0x67,0x8e,0xdb,0x85,0x63,0x16,0x27,0x69,0xbd,0xb8,0xc8,0x95,0x92,0xe3,0x31,0x6f,0x18,0x13,0x55,0xa4,0xbe,0x2b,0xab,0x47,0x31,0x89,0x29,0x91,0x07,0x92,0x4f,0xa2,0x53,0x8c,0xa7,0xf7,0x30,0xbe,0x48,0xf9,0x49,0x4b,0x3d,0xd4,0x4f,0x6e,0x08,0x90,0xe9,0x12,0x2e,0xbb,0xdf,0x7f,0xb3,0x96,0x0c,0xf1,0xf9,0xea,0x1c,0x12,0x5e,0x93,0x9a,0x9f,0x3f,0x98,0x5b,0x3a,0xc4,0x36,0x11,0xdf,0xaf,0x99,0x3e,0x5d,0xf0,0xe3,0xb2,0x77}, + {0xde,0xc4,0x2e,0x9c,0xc5,0xa9,0x6f,0x29,0xcb,0xf3,0x84,0x4f,0xbf,0x61,0x8b,0xbc,0x08,0xf9,0xa8,0x17,0xd9,0x06,0x77,0x1c,0x5d,0x25,0xd3,0x7a,0xfc,0x95,0xb7,0x63,0xa4,0xb0,0xdd,0x12,0x9c,0x63,0x98,0xd5,0x6b,0x86,0x24,0xc0,0x30,0x9f,0xd1,0xa5,0x60,0xe4,0xfc,0x58,0x03,0x2f,0x7c,0xd1,0x8a,0x5e,0x09,0x2e,0x15,0x95,0xa1,0x07,0xc8,0x5f,0x9e,0x38,0x02,0x8f,0x36,0xa8,0x3b,0xe4,0x8d,0xcf,0x02,0x3b,0x43,0x90,0x43,0x26,0x41,0xc5,0x5d,0xfd,0xa1,0xaf,0x37,0x01,0x2f,0x03,0x3d,0xe8,0x8f,0x3e}, + {0x94,0xa2,0x70,0x05,0xb9,0x15,0x8b,0x2f,0x49,0x45,0x08,0x67,0x70,0x42,0xf2,0x94,0x84,0xfd,0xbb,0x61,0xe1,0x5a,0x1c,0xde,0x07,0x40,0xac,0x7f,0x79,0x3b,0xba,0x75,0x3c,0xd1,0xef,0xe8,0x8d,0x4c,0x70,0x08,0x31,0x37,0xe0,0x33,0x8e,0x1a,0xc5,0xdf,0xe3,0xcd,0x60,0x12,0xa5,0x5d,0x9d,0xa5,0x86,0x8c,0x25,0xa6,0x99,0x08,0xd6,0x22,0x96,0xd1,0xcd,0x70,0xc0,0xdb,0x39,0x62,0x9a,0x8a,0x7d,0x6c,0x8b,0x8a,0xfe,0x60,0x60,0x12,0x40,0xeb,0xbc,0x47,0x88,0xb3,0x5e,0x9e,0x77,0x87,0x7b,0xd0,0x04,0x09}, + {0x9c,0x91,0xba,0xdd,0xd4,0x1f,0xce,0xb4,0xaa,0x8d,0x4c,0xc7,0x3e,0xdb,0x31,0xcf,0x51,0xcc,0x86,0xad,0x63,0xcc,0x63,0x2c,0x07,0xde,0x1d,0xbc,0x3f,0x14,0xe2,0x43,0xb9,0x40,0xf9,0x48,0x66,0x2d,0x32,0xf4,0x39,0x0c,0x2d,0xbd,0x0c,0x2f,0x95,0x06,0x31,0xf9,0x81,0xa0,0xad,0x97,0x76,0x16,0x6c,0x2a,0xf7,0xba,0xce,0xaa,0x40,0x62,0xa0,0x95,0xa2,0x5b,0x9c,0x74,0x34,0xf8,0x5a,0xd2,0x37,0xca,0x5b,0x7c,0x94,0xd6,0x6a,0x31,0xc9,0xe7,0xa7,0x3b,0xf1,0x66,0xac,0x0c,0xb4,0x8d,0x23,0xaf,0xbd,0x56}, + {0xeb,0x33,0x35,0xf5,0xe3,0xb9,0x2a,0x36,0x40,0x3d,0xb9,0x6e,0xd5,0x68,0x85,0x33,0x72,0x55,0x5a,0x1d,0x52,0x14,0x0e,0x9e,0x18,0x13,0x74,0x83,0x6d,0xa8,0x24,0x1d,0xb2,0x3b,0x9d,0xc1,0x6c,0xd3,0x10,0x13,0xb9,0x86,0x23,0x62,0xb7,0x6b,0x2a,0x06,0x5c,0x4f,0xa1,0xd7,0x91,0x85,0x9b,0x7c,0x54,0x57,0x1e,0x7e,0x50,0x31,0xaa,0x03,0x1f,0xce,0xd4,0xff,0x48,0x76,0xec,0xf4,0x1c,0x8c,0xac,0x54,0xf0,0xea,0x45,0xe0,0x7c,0x35,0x09,0x1d,0x82,0x25,0xd2,0x88,0x59,0x48,0xeb,0x9a,0xdc,0x61,0xb2,0x43}, + {0xbb,0x79,0xbb,0x88,0x19,0x1e,0x5b,0xe5,0x9d,0x35,0x7a,0xc1,0x7d,0xd0,0x9e,0xa0,0x33,0xea,0x3d,0x60,0xe2,0x2e,0x2c,0xb0,0xc2,0x6b,0x27,0x5b,0xcf,0x55,0x60,0x32,0x64,0x13,0x95,0x6c,0x8b,0x3d,0x51,0x19,0x7b,0xf4,0x0b,0x00,0x26,0x71,0xfe,0x94,0x67,0x95,0x4f,0xd5,0xdd,0x10,0x8d,0x02,0x64,0x09,0x94,0x42,0xe2,0xd5,0xb4,0x02,0xf2,0x8d,0xd1,0x28,0xcb,0x55,0xa1,0xb4,0x08,0xe5,0x6c,0x18,0x46,0x46,0xcc,0xea,0x89,0x43,0x82,0x6c,0x93,0xf4,0x9c,0xc4,0x10,0x34,0x5d,0xae,0x09,0xc8,0xa6,0x27}, + {0x88,0xb1,0x0d,0x1f,0xcd,0xeb,0xa6,0x8b,0xe8,0x5b,0x5a,0x67,0x3a,0xd7,0xd3,0x37,0x5a,0x58,0xf5,0x15,0xa3,0xdf,0x2e,0xf2,0x7e,0xa1,0x60,0xff,0x74,0x71,0xb6,0x2c,0x54,0x69,0x3d,0xc4,0x0a,0x27,0x2c,0xcd,0xb2,0xca,0x66,0x6a,0x57,0x3e,0x4a,0xdd,0x6c,0x03,0xd7,0x69,0x24,0x59,0xfa,0x79,0x99,0x25,0x8c,0x3d,0x60,0x03,0x15,0x22,0xd0,0xe1,0x0b,0x39,0xf9,0xcd,0xee,0x59,0xf1,0xe3,0x8c,0x72,0x44,0x20,0x42,0xa9,0xf4,0xf0,0x94,0x7a,0x66,0x1c,0x89,0x82,0x36,0xf4,0x90,0x38,0xb7,0xf4,0x1d,0x7b}, + {0x24,0xa2,0xb2,0xb3,0xe0,0xf2,0x92,0xe4,0x60,0x11,0x55,0x2b,0x06,0x9e,0x6c,0x7c,0x0e,0x7b,0x7f,0x0d,0xe2,0x8f,0xeb,0x15,0x92,0x59,0xfc,0x58,0x26,0xef,0xfc,0x61,0x8c,0xf5,0xf8,0x07,0x18,0x22,0x2e,0x5f,0xd4,0x09,0x94,0xd4,0x9f,0x5c,0x55,0xe3,0x30,0xa6,0xb6,0x1f,0x8d,0xa8,0xaa,0xb2,0x3d,0xe0,0x52,0xd3,0x45,0x82,0x69,0x68,0x7a,0x18,0x18,0x2a,0x85,0x5d,0xb1,0xdb,0xd7,0xac,0xdd,0x86,0xd3,0xaa,0xe4,0xf3,0x82,0xc4,0xf6,0x0f,0x81,0xe2,0xba,0x44,0xcf,0x01,0xaf,0x3d,0x47,0x4c,0xcf,0x46}, + {0xf9,0xe5,0xc4,0x9e,0xed,0x25,0x65,0x42,0x03,0x33,0x90,0x16,0x01,0xda,0x5e,0x0e,0xdc,0xca,0xe5,0xcb,0xf2,0xa7,0xb1,0x72,0x40,0x5f,0xeb,0x14,0xcd,0x7b,0x38,0x29,0x40,0x81,0x49,0xf1,0xa7,0x6e,0x3c,0x21,0x54,0x48,0x2b,0x39,0xf8,0x7e,0x1e,0x7c,0xba,0xce,0x29,0x56,0x8c,0xc3,0x88,0x24,0xbb,0xc5,0x8c,0x0d,0xe5,0xaa,0x65,0x10,0x57,0x0d,0x20,0xdf,0x25,0x45,0x2c,0x1c,0x4a,0x67,0xca,0xbf,0xd6,0x2d,0x3b,0x5c,0x30,0x40,0x83,0xe1,0xb1,0xe7,0x07,0x0a,0x16,0xe7,0x1c,0x4f,0xe6,0x98,0xa1,0x69}, + {0xbc,0x78,0x1a,0xd9,0xe0,0xb2,0x62,0x90,0x67,0x96,0x50,0xc8,0x9c,0x88,0xc9,0x47,0xb8,0x70,0x50,0x40,0x66,0x4a,0xf5,0x9d,0xbf,0xa1,0x93,0x24,0xa9,0xe6,0x69,0x73,0xed,0xca,0xc5,0xdc,0x34,0x44,0x01,0xe1,0x33,0xfb,0x84,0x3c,0x96,0x5d,0xed,0x47,0xe7,0xa0,0x86,0xed,0x76,0x95,0x01,0x70,0xe4,0xf9,0x67,0xd2,0x7b,0x69,0xb2,0x25,0x64,0x68,0x98,0x13,0xfb,0x3f,0x67,0x9d,0xb8,0xc7,0x5d,0x41,0xd9,0xfb,0xa5,0x3c,0x5e,0x3b,0x27,0xdf,0x3b,0xcc,0x4e,0xe0,0xd2,0x4c,0x4e,0xb5,0x3d,0x68,0x20,0x14}, + {0x97,0xd1,0x9d,0x24,0x1e,0xbd,0x78,0xb4,0x02,0xc1,0x58,0x5e,0x00,0x35,0x0c,0x62,0x5c,0xac,0xba,0xcc,0x2f,0xd3,0x02,0xfb,0x2d,0xa7,0x08,0xf5,0xeb,0x3b,0xb6,0x60,0xd0,0x5a,0xcc,0xc1,0x6f,0xbb,0xee,0x34,0x8b,0xac,0x46,0x96,0xe9,0x0c,0x1b,0x6a,0x53,0xde,0x6b,0xa6,0x49,0xda,0xb0,0xd3,0xc1,0x81,0xd0,0x61,0x41,0x3b,0xe8,0x31,0x4f,0x2b,0x06,0x9e,0x12,0xc7,0xe8,0x97,0xd8,0x0a,0x32,0x29,0x4f,0x8f,0xe4,0x49,0x3f,0x68,0x18,0x6f,0x4b,0xe1,0xec,0x5b,0x17,0x03,0x55,0x2d,0xb6,0x1e,0xcf,0x55}, + {0x58,0x3d,0xc2,0x65,0x10,0x10,0x79,0x58,0x9c,0x81,0x94,0x50,0x6d,0x08,0x9d,0x8b,0xa7,0x5f,0xc5,0x12,0xa9,0x2f,0x40,0xe2,0xd4,0x91,0x08,0x57,0x64,0x65,0x9a,0x66,0x52,0x8c,0xf5,0x7d,0xe3,0xb5,0x76,0x30,0x36,0xcc,0x99,0xe7,0xdd,0xb9,0x3a,0xd7,0x20,0xee,0x13,0x49,0xe3,0x1c,0x83,0xbd,0x33,0x01,0xba,0x62,0xaa,0xfb,0x56,0x1a,0xec,0xc9,0x9d,0x5c,0x50,0x6b,0x3e,0x94,0x1a,0x37,0x7c,0xa7,0xbb,0x57,0x25,0x30,0x51,0x76,0x34,0x41,0x56,0xae,0x73,0x98,0x5c,0x8a,0xc5,0x99,0x67,0x83,0xc4,0x13}, + {0xb9,0xe1,0xb3,0x5a,0x46,0x5d,0x3a,0x42,0x61,0x3f,0xf1,0xc7,0x87,0xc1,0x13,0xfc,0xb6,0xb9,0xb5,0xec,0x64,0x36,0xf8,0x19,0x07,0xb6,0x37,0xa6,0x93,0x0c,0xf8,0x66,0x80,0xd0,0x8b,0x5d,0x6a,0xfb,0xdc,0xc4,0x42,0x48,0x1a,0x57,0xec,0xc4,0xeb,0xde,0x65,0x53,0xe5,0xb8,0x83,0xe8,0xb2,0xd4,0x27,0xb8,0xe5,0xc8,0x7d,0xc8,0xbd,0x50,0x11,0xe1,0xdf,0x6e,0x83,0x37,0x6d,0x60,0xd9,0xab,0x11,0xf0,0x15,0x3e,0x35,0x32,0x96,0x3b,0xb7,0x25,0xc3,0x3a,0xb0,0x64,0xae,0xd5,0x5f,0x72,0x44,0x64,0xd5,0x1d}, + {0x7d,0x12,0x62,0x33,0xf8,0x7f,0xa4,0x8f,0x15,0x7c,0xcd,0x71,0xc4,0x6a,0x9f,0xbc,0x8b,0x0c,0x22,0x49,0x43,0x45,0x71,0x6e,0x2e,0x73,0x9f,0x21,0x12,0x59,0x64,0x0e,0x9a,0xc8,0xba,0x08,0x00,0xe6,0x97,0xc2,0xe0,0xc3,0xe1,0xea,0x11,0xea,0x4c,0x7d,0x7c,0x97,0xe7,0x9f,0xe1,0x8b,0xe3,0xf3,0xcd,0x05,0xa3,0x63,0x0f,0x45,0x3a,0x3a,0x27,0x46,0x39,0xd8,0x31,0x2f,0x8f,0x07,0x10,0xa5,0x94,0xde,0x83,0x31,0x9d,0x38,0x80,0x6f,0x99,0x17,0x6d,0x6c,0xe3,0xd1,0x7b,0xa8,0xa9,0x93,0x93,0x8d,0x8c,0x31}, + {0x19,0xfe,0xff,0x2a,0x03,0x5d,0x74,0xf2,0x66,0xdb,0x24,0x7f,0x49,0x3c,0x9f,0x0c,0xef,0x98,0x85,0xba,0xe3,0xd3,0x98,0xbc,0x14,0x53,0x1d,0x9a,0x67,0x7c,0x4c,0x22,0x98,0xd3,0x1d,0xab,0x29,0x9e,0x66,0x5d,0x3b,0x9e,0x2d,0x34,0x58,0x16,0x92,0xfc,0xcd,0x73,0x59,0xf3,0xfd,0x1d,0x85,0x55,0xf6,0x0a,0x95,0x25,0xc3,0x41,0x9a,0x50,0xe9,0x25,0xf9,0xa6,0xdc,0x6e,0xc0,0xbd,0x33,0x1f,0x1b,0x64,0xf4,0xf3,0x3e,0x79,0x89,0x3e,0x83,0x9d,0x80,0x12,0xec,0x82,0x89,0x13,0xa1,0x28,0x23,0xf0,0xbf,0x05}, + {0x0b,0xe0,0xca,0x23,0x70,0x13,0x32,0x36,0x59,0xcf,0xac,0xd1,0x0a,0xcf,0x4a,0x54,0x88,0x1c,0x1a,0xd2,0x49,0x10,0x74,0x96,0xa7,0x44,0x2a,0xfa,0xc3,0x8c,0x0b,0x78,0xe4,0x12,0xc5,0x0d,0xdd,0xa0,0x81,0x68,0xfe,0xfa,0xa5,0x44,0xc8,0x0d,0xe7,0x4f,0x40,0x52,0x4a,0x8f,0x6b,0x8e,0x74,0x1f,0xea,0xa3,0x01,0xee,0xcd,0x77,0x62,0x57,0x5f,0x30,0x4f,0x23,0xbc,0x8a,0xf3,0x1e,0x08,0xde,0x05,0x14,0xbd,0x7f,0x57,0x9a,0x0d,0x2a,0xe6,0x34,0x14,0xa5,0x82,0x5e,0xa1,0xb7,0x71,0x62,0x72,0x18,0xf4,0x5f}, + {0x9d,0xdb,0x89,0x17,0x0c,0x08,0x8e,0x39,0xf5,0x78,0xe7,0xf3,0x25,0x20,0x60,0xa7,0x5d,0x03,0xbd,0x06,0x4c,0x89,0x98,0xfa,0xbe,0x66,0xa9,0x25,0xdc,0x03,0x6a,0x10,0x40,0x95,0xb6,0x13,0xe8,0x47,0xdb,0xe5,0xe1,0x10,0x26,0x43,0x3b,0x2a,0x5d,0xf3,0x76,0x12,0x78,0x38,0xe9,0x26,0x1f,0xac,0x69,0xcb,0xa0,0xa0,0x8c,0xdb,0xd4,0x29,0xd0,0x53,0x33,0x33,0xaf,0x0a,0xad,0xd9,0xe5,0x09,0xd3,0xac,0xa5,0x9d,0x66,0x38,0xf0,0xf7,0x88,0xc8,0x8a,0x65,0x57,0x3c,0xfa,0xbe,0x2c,0x05,0x51,0x8a,0xb3,0x4a}, + {0x93,0xd5,0x68,0x67,0x25,0x2b,0x7c,0xda,0x13,0xca,0x22,0x44,0x57,0xc0,0xc1,0x98,0x1d,0xce,0x0a,0xca,0xd5,0x0b,0xa8,0xf1,0x90,0xa6,0x88,0xc0,0xad,0xd1,0xcd,0x29,0x9c,0xc0,0xdd,0x5f,0xef,0xd1,0xcf,0xd6,0xce,0x5d,0x57,0xf7,0xfd,0x3e,0x2b,0xe8,0xc2,0x34,0x16,0x20,0x5d,0x6b,0xd5,0x25,0x9b,0x2b,0xed,0x04,0xbb,0xc6,0x41,0x30,0x48,0xe1,0x56,0xd9,0xf9,0xf2,0xf2,0x0f,0x2e,0x6b,0x35,0x9f,0x75,0x97,0xe7,0xad,0x5c,0x02,0x6c,0x5f,0xbb,0x98,0x46,0x1a,0x7b,0x9a,0x04,0x14,0x68,0xbd,0x4b,0x10}, + {0x67,0xed,0xf1,0x68,0x31,0xfd,0xf0,0x51,0xc2,0x3b,0x6f,0xd8,0xcd,0x1d,0x81,0x2c,0xde,0xf2,0xd2,0x04,0x43,0x5c,0xdc,0x44,0x49,0x71,0x2a,0x09,0x57,0xcc,0xe8,0x5b,0x63,0xf1,0x7f,0xd6,0x5f,0x9a,0x5d,0xa9,0x81,0x56,0xc7,0x4c,0x9d,0xe6,0x2b,0xe9,0x57,0xf2,0x20,0xde,0x4c,0x02,0xf8,0xb7,0xf5,0x2d,0x07,0xfb,0x20,0x2a,0x4f,0x20,0x79,0xb0,0xeb,0x30,0x3d,0x3b,0x14,0xc8,0x30,0x2e,0x65,0xbd,0x5a,0x15,0x89,0x75,0x31,0x5c,0x6d,0x8f,0x31,0x3c,0x3c,0x65,0x1f,0x16,0x79,0xc2,0x17,0xfb,0x70,0x25}, + {0x75,0x15,0xb6,0x2c,0x7f,0x36,0xfa,0x3e,0x6c,0x02,0xd6,0x1c,0x76,0x6f,0xf9,0xf5,0x62,0x25,0xb5,0x65,0x2a,0x14,0xc7,0xe8,0xcd,0x0a,0x03,0x53,0xea,0x65,0xcb,0x3d,0x5a,0x24,0xb8,0x0b,0x55,0xa9,0x2e,0x19,0xd1,0x50,0x90,0x8f,0xa8,0xfb,0xe6,0xc8,0x35,0xc9,0xa4,0x88,0x2d,0xea,0x86,0x79,0x68,0x86,0x01,0xde,0x91,0x5f,0x1c,0x24,0xaa,0x6c,0xde,0x40,0x29,0x17,0xd8,0x28,0x3a,0x73,0xd9,0x22,0xf0,0x2c,0xbf,0x8f,0xd1,0x01,0x5b,0x23,0xdd,0xfc,0xd7,0x16,0xe5,0xf0,0xcd,0x5f,0xdd,0x0e,0x42,0x08}, + {0x4a,0xfa,0x62,0x83,0xab,0x20,0xff,0xcd,0x6e,0x3e,0x1a,0xe2,0xd4,0x18,0xe1,0x57,0x2b,0xe6,0x39,0xfc,0x17,0x96,0x17,0xe3,0xfd,0x69,0x17,0xbc,0xef,0x53,0x9a,0x0d,0xce,0x10,0xf4,0x04,0x4e,0xc3,0x58,0x03,0x85,0x06,0x6e,0x27,0x5a,0x5b,0x13,0xb6,0x21,0x15,0xb9,0xeb,0xc7,0x70,0x96,0x5d,0x9c,0x88,0xdb,0x21,0xf3,0x54,0xd6,0x04,0xd5,0xb5,0xbd,0xdd,0x16,0xc1,0x7d,0x5e,0x2d,0xdd,0xa5,0x8d,0xb6,0xde,0x54,0x29,0x92,0xa2,0x34,0x33,0x17,0x08,0xb6,0x1c,0xd7,0x1a,0x99,0x18,0x26,0x4f,0x7a,0x4a}, + {0x95,0x5f,0xb1,0x5f,0x02,0x18,0xa7,0xf4,0x8f,0x1b,0x5c,0x6b,0x34,0x5f,0xf6,0x3d,0x12,0x11,0xe0,0x00,0x85,0xf0,0xfc,0xcd,0x48,0x18,0xd3,0xdd,0x4c,0x0c,0xb5,0x11,0x4b,0x2a,0x37,0xaf,0x91,0xb2,0xc3,0x24,0xf2,0x47,0x81,0x71,0x70,0x82,0xda,0x93,0xf2,0x9e,0x89,0x86,0x64,0x85,0x84,0xdd,0x33,0xee,0xe0,0x23,0x42,0x31,0x96,0x4a,0xd6,0xff,0xa4,0x08,0x44,0x27,0xe8,0xa6,0xd9,0x76,0x15,0x9c,0x7e,0x17,0x8e,0x73,0xf2,0xb3,0x02,0x3d,0xb6,0x48,0x33,0x77,0x51,0xcc,0x6b,0xce,0x4d,0xce,0x4b,0x4f}, + {0x84,0x25,0x24,0xe2,0x5a,0xce,0x1f,0xa7,0x9e,0x8a,0xf5,0x92,0x56,0x72,0xea,0x26,0xf4,0x3c,0xea,0x1c,0xd7,0x09,0x1a,0xd2,0xe6,0x01,0x1c,0xb7,0x14,0xdd,0xfc,0x73,0x6f,0x0b,0x9d,0xc4,0x6e,0x61,0xe2,0x30,0x17,0x23,0xec,0xca,0x8f,0x71,0x56,0xe4,0xa6,0x4f,0x6b,0xf2,0x9b,0x40,0xeb,0x48,0x37,0x5f,0x59,0x61,0xe5,0xce,0x42,0x30,0x41,0xac,0x9b,0x44,0x79,0x70,0x7e,0x42,0x0a,0x31,0xe2,0xbc,0x6d,0xe3,0x5a,0x85,0x7c,0x1a,0x84,0x5f,0x21,0x76,0xae,0x4c,0xd6,0xe1,0x9c,0x9a,0x0c,0x74,0x9e,0x38}, + {0xce,0xb9,0xdc,0x34,0xae,0xb3,0xfc,0x64,0xad,0xd0,0x48,0xe3,0x23,0x03,0x50,0x97,0x1b,0x38,0xc6,0x62,0x7d,0xf0,0xb3,0x45,0x88,0x67,0x5a,0x46,0x79,0x53,0x54,0x61,0x28,0xac,0x0e,0x57,0xf6,0x78,0xbd,0xc9,0xe1,0x9c,0x91,0x27,0x32,0x0b,0x5b,0xe5,0xed,0x91,0x9b,0xa1,0xab,0x3e,0xfc,0x65,0x90,0x36,0x26,0xd6,0xe5,0x25,0xc4,0x25,0x6e,0xde,0xd7,0xf1,0xa6,0x06,0x3e,0x3f,0x08,0x23,0x06,0x8e,0x27,0x76,0xf9,0x3e,0x77,0x6c,0x8a,0x4e,0x26,0xf6,0x14,0x8c,0x59,0x47,0x48,0x15,0x89,0xa0,0x39,0x65}, + {0x73,0xf7,0xd2,0xc3,0x74,0x1f,0xd2,0xe9,0x45,0x68,0xc4,0x25,0x41,0x54,0x50,0xc1,0x33,0x9e,0xb9,0xf9,0xe8,0x5c,0x4e,0x62,0x6c,0x18,0xcd,0xc5,0xaa,0xe4,0xc5,0x11,0x19,0x4a,0xbb,0x14,0xd4,0xdb,0xc4,0xdd,0x8e,0x4f,0x42,0x98,0x3c,0xbc,0xb2,0x19,0x69,0x71,0xca,0x36,0xd7,0x9f,0xa8,0x48,0x90,0xbd,0x19,0xf0,0x0e,0x32,0x65,0x0f,0xc6,0xe0,0xfd,0xca,0xb1,0xd1,0x86,0xd4,0x81,0x51,0x3b,0x16,0xe3,0xe6,0x3f,0x4f,0x9a,0x93,0xf2,0xfa,0x0d,0xaf,0xa8,0x59,0x2a,0x07,0x33,0xec,0xbd,0xc7,0xab,0x4c}, + {0x2e,0x0a,0x9c,0x08,0x24,0x96,0x9e,0x23,0x38,0x47,0xfe,0x3a,0xc0,0xc4,0x48,0xc7,0x2a,0xa1,0x4f,0x76,0x2a,0xed,0xdb,0x17,0x82,0x85,0x1c,0x32,0xf0,0x93,0x9b,0x63,0x89,0xd2,0x78,0x3f,0x8f,0x78,0x8f,0xc0,0x9f,0x4d,0x40,0xa1,0x2c,0xa7,0x30,0xfe,0x9d,0xcc,0x65,0xcf,0xfc,0x8b,0x77,0xf2,0x21,0x20,0xcb,0x5a,0x16,0x98,0xe4,0x7e,0xc3,0xa1,0x11,0x91,0xe3,0x08,0xd5,0x7b,0x89,0x74,0x90,0x80,0xd4,0x90,0x2b,0x2b,0x19,0xfd,0x72,0xae,0xc2,0xae,0xd2,0xe7,0xa6,0x02,0xb6,0x85,0x3c,0x49,0xdf,0x0e}, + {0x68,0x5a,0x9b,0x59,0x58,0x81,0xcc,0xae,0x0e,0xe2,0xad,0xeb,0x0f,0x4f,0x57,0xea,0x07,0x7f,0xb6,0x22,0x74,0x1d,0xe4,0x4f,0xb4,0x4f,0x9d,0x01,0xe3,0x92,0x3b,0x40,0x13,0x41,0x76,0x84,0xd2,0xc4,0x67,0x67,0x35,0xf8,0xf5,0xf7,0x3f,0x40,0x90,0xa0,0xde,0xbe,0xe6,0xca,0xfa,0xcf,0x8f,0x1c,0x69,0xa3,0xdf,0xd1,0x54,0x0c,0xc0,0x04,0xf8,0x5c,0x46,0x8b,0x81,0x2f,0xc2,0x4d,0xf8,0xef,0x80,0x14,0x5a,0xf3,0xa0,0x71,0x57,0xd6,0xc7,0x04,0xad,0xbf,0xe8,0xae,0xf4,0x76,0x61,0xb2,0x2a,0xb1,0x5b,0x35}, + {0xf4,0xbb,0x93,0x74,0xcc,0x64,0x1e,0xa7,0xc3,0xb0,0xa3,0xec,0xd9,0x84,0xbd,0xe5,0x85,0xe7,0x05,0xfa,0x0c,0xc5,0x6b,0x0a,0x12,0xc3,0x2e,0x18,0x32,0x81,0x9b,0x0f,0x18,0x73,0x8c,0x5a,0xc7,0xda,0x01,0xa3,0x11,0xaa,0xce,0xb3,0x9d,0x03,0x90,0xed,0x2d,0x3f,0xae,0x3b,0xbf,0x7c,0x07,0x6f,0x8e,0xad,0x52,0xe0,0xf8,0xea,0x18,0x75,0x32,0x6c,0x7f,0x1b,0xc4,0x59,0x88,0xa4,0x98,0x32,0x38,0xf4,0xbc,0x60,0x2d,0x0f,0xd9,0xd1,0xb1,0xc9,0x29,0xa9,0x15,0x18,0xc4,0x55,0x17,0xbb,0x1b,0x87,0xc3,0x47}, + {0x48,0x4f,0xec,0x71,0x97,0x53,0x44,0x51,0x6e,0x5d,0x8c,0xc9,0x7d,0xb1,0x05,0xf8,0x6b,0xc6,0xc3,0x47,0x1a,0xc1,0x62,0xf7,0xdc,0x99,0x46,0x76,0x85,0x9b,0xb8,0x00,0xb0,0x66,0x50,0xc8,0x50,0x5d,0xe6,0xfb,0xb0,0x99,0xa2,0xb3,0xb0,0xc4,0xec,0x62,0xe0,0xe8,0x1a,0x44,0xea,0x54,0x37,0xe5,0x5f,0x8d,0xd4,0xe8,0x2c,0xa0,0xfe,0x08,0xd0,0xea,0xde,0x68,0x76,0xdd,0x4d,0x82,0x23,0x5d,0x68,0x4b,0x20,0x45,0x64,0xc8,0x65,0xd6,0x89,0x5d,0xcd,0xcf,0x14,0xb5,0x37,0xd5,0x75,0x4f,0xa7,0x29,0x38,0x47}, + {0x18,0xc4,0x79,0x46,0x75,0xda,0xd2,0x82,0xf0,0x8d,0x61,0xb2,0xd8,0xd7,0x3b,0xe6,0x0a,0xeb,0x47,0xac,0x24,0xef,0x5e,0x35,0xb4,0xc6,0x33,0x48,0x4c,0x68,0x78,0x20,0xc9,0x02,0x39,0xad,0x3a,0x53,0xd9,0x23,0x8f,0x58,0x03,0xef,0xce,0xdd,0xc2,0x64,0xb4,0x2f,0xe1,0xcf,0x90,0x73,0x25,0x15,0x90,0xd3,0xe4,0x44,0x4d,0x8b,0x66,0x6c,0x0c,0x82,0x78,0x7a,0x21,0xcf,0x48,0x3b,0x97,0x3e,0x27,0x81,0xb2,0x0a,0x6a,0xf7,0x7b,0xed,0x8e,0x8c,0xa7,0x65,0x6c,0xa9,0x3f,0x43,0x8a,0x4f,0x05,0xa6,0x11,0x74}, + {0x6d,0xc8,0x9d,0xb9,0x32,0x9d,0x65,0x4d,0x15,0xf1,0x3a,0x60,0x75,0xdc,0x4c,0x04,0x88,0xe4,0xc2,0xdc,0x2c,0x71,0x4c,0xb3,0xff,0x34,0x81,0xfb,0x74,0x65,0x13,0x7c,0xb4,0x75,0xb1,0x18,0x3d,0xe5,0x9a,0x57,0x02,0xa1,0x92,0xf3,0x59,0x31,0x71,0x68,0xf5,0x35,0xef,0x1e,0xba,0xec,0x55,0x84,0x8f,0x39,0x8c,0x45,0x72,0xa8,0xc9,0x1e,0x9b,0x50,0xa2,0x00,0xd4,0xa4,0xe6,0xb8,0xb4,0x82,0xc8,0x0b,0x02,0xd7,0x81,0x9b,0x61,0x75,0x95,0xf1,0x9b,0xcc,0xe7,0x57,0x60,0x64,0xcd,0xc7,0xa5,0x88,0xdd,0x3a}, + {0xf2,0xdc,0x35,0xb6,0x70,0x57,0x89,0xab,0xbc,0x1f,0x6c,0xf6,0x6c,0xef,0xdf,0x02,0x87,0xd1,0xb6,0xbe,0x68,0x02,0x53,0x85,0x74,0x9e,0x87,0xcc,0xfc,0x29,0x99,0x24,0x46,0x30,0x39,0x59,0xd4,0x98,0xc2,0x85,0xec,0x59,0xf6,0x5f,0x98,0x35,0x7e,0x8f,0x3a,0x6e,0xf6,0xf2,0x2a,0xa2,0x2c,0x1d,0x20,0xa7,0x06,0xa4,0x31,0x11,0xba,0x61,0x29,0x90,0x95,0x16,0xf1,0xa0,0xd0,0xa3,0x89,0xbd,0x7e,0xba,0x6c,0x6b,0x3b,0x02,0x07,0x33,0x78,0x26,0x3e,0x5a,0xf1,0x7b,0xe7,0xec,0xd8,0xbb,0x0c,0x31,0x20,0x56}, + {0x43,0xd6,0x34,0x49,0x43,0x93,0x89,0x52,0xf5,0x22,0x12,0xa5,0x06,0xf8,0xdb,0xb9,0x22,0x1c,0xf4,0xc3,0x8f,0x87,0x6d,0x8f,0x30,0x97,0x9d,0x4d,0x2a,0x6a,0x67,0x37,0xd6,0x85,0xe2,0x77,0xf4,0xb5,0x46,0x66,0x93,0x61,0x8f,0x6c,0x67,0xff,0xe8,0x40,0xdd,0x94,0xb5,0xab,0x11,0x73,0xec,0xa6,0x4d,0xec,0x8c,0x65,0xf3,0x46,0xc8,0x7e,0xc7,0x2e,0xa2,0x1d,0x3f,0x8f,0x5e,0x9b,0x13,0xcd,0x01,0x6c,0x77,0x1d,0x0f,0x13,0xb8,0x9f,0x98,0xa2,0xcf,0x8f,0x4c,0x21,0xd5,0x9d,0x9b,0x39,0x23,0xf7,0xaa,0x6d}, + {0x47,0xbe,0x3d,0xeb,0x62,0x75,0x3a,0x5f,0xb8,0xa0,0xbd,0x8e,0x54,0x38,0xea,0xf7,0x99,0x72,0x74,0x45,0x31,0xe5,0xc3,0x00,0x51,0xd5,0x27,0x16,0xe7,0xe9,0x04,0x13,0xa2,0x8e,0xad,0xac,0xbf,0x04,0x3b,0x58,0x84,0xe8,0x8b,0x14,0xe8,0x43,0xb7,0x29,0xdb,0xc5,0x10,0x08,0x3b,0x58,0x1e,0x2b,0xaa,0xbb,0xb3,0x8e,0xe5,0x49,0x54,0x2b,0xfe,0x9c,0xdc,0x6a,0xd2,0x14,0x98,0x78,0x0b,0xdd,0x48,0x8b,0x3f,0xab,0x1b,0x3c,0x0a,0xc6,0x79,0xf9,0xff,0xe1,0x0f,0xda,0x93,0xd6,0x2d,0x7c,0x2d,0xde,0x68,0x44}, + {0x9e,0x46,0x19,0x94,0x5e,0x35,0xbb,0x51,0x54,0xc7,0xdd,0x23,0x4c,0xdc,0xe6,0x33,0x62,0x99,0x7f,0x44,0xd6,0xb6,0xa5,0x93,0x63,0xbd,0x44,0xfb,0x6f,0x7c,0xce,0x6c,0xce,0x07,0x63,0xf8,0xc6,0xd8,0x9a,0x4b,0x28,0x0c,0x5d,0x43,0x31,0x35,0x11,0x21,0x2c,0x77,0x7a,0x65,0xc5,0x66,0xa8,0xd4,0x52,0x73,0x24,0x63,0x7e,0x42,0xa6,0x5d,0xca,0x22,0xac,0xde,0x88,0xc6,0x94,0x1a,0xf8,0x1f,0xae,0xbb,0xf7,0x6e,0x06,0xb9,0x0f,0x58,0x59,0x8d,0x38,0x8c,0xad,0x88,0xa8,0x2c,0x9f,0xe7,0xbf,0x9a,0xf2,0x58}, + {0x68,0x3e,0xe7,0x8d,0xab,0xcf,0x0e,0xe9,0xa5,0x76,0x7e,0x37,0x9f,0x6f,0x03,0x54,0x82,0x59,0x01,0xbe,0x0b,0x5b,0x49,0xf0,0x36,0x1e,0xf4,0xa7,0xc4,0x29,0x76,0x57,0xf6,0xcd,0x0e,0x71,0xbf,0x64,0x5a,0x4b,0x3c,0x29,0x2c,0x46,0x38,0xe5,0x4c,0xb1,0xb9,0x3a,0x0b,0xd5,0x56,0xd0,0x43,0x36,0x70,0x48,0x5b,0x18,0x24,0x37,0xf9,0x6a,0x88,0xa8,0xc6,0x09,0x45,0x02,0x20,0x32,0x73,0x89,0x55,0x4b,0x13,0x36,0xe0,0xd2,0x9f,0x28,0x33,0x3c,0x23,0x36,0xe2,0x83,0x8f,0xc1,0xae,0x0c,0xbb,0x25,0x1f,0x70}, + {0xed,0x6c,0x61,0xe4,0xf8,0xb0,0xa8,0xc3,0x7d,0xa8,0x25,0x9e,0x0e,0x66,0x00,0xf7,0x9c,0xa5,0xbc,0xf4,0x1f,0x06,0xe3,0x61,0xe9,0x0b,0xc4,0xbd,0xbf,0x92,0x0c,0x2e,0x13,0xc1,0xbe,0x7c,0xd9,0xf6,0x18,0x9d,0xe4,0xdb,0xbf,0x74,0xe6,0x06,0x4a,0x84,0xd6,0x60,0x4e,0xac,0x22,0xb5,0xf5,0x20,0x51,0x5e,0x95,0x50,0xc0,0x5b,0x0a,0x72,0x35,0x5a,0x80,0x9b,0x43,0x09,0x3f,0x0c,0xfc,0xab,0x42,0x62,0x37,0x8b,0x4e,0xe8,0x46,0x93,0x22,0x5c,0xf3,0x17,0x14,0x69,0xec,0xf0,0x4e,0x14,0xbb,0x9c,0x9b,0x0e}, + {0xad,0x20,0x57,0xfb,0x8f,0xd4,0xba,0xfb,0x0e,0x0d,0xf9,0xdb,0x6b,0x91,0x81,0xee,0xbf,0x43,0x55,0x63,0x52,0x31,0x81,0xd4,0xd8,0x7b,0x33,0x3f,0xeb,0x04,0x11,0x22,0xee,0xbe,0xb1,0x5d,0xd5,0x9b,0xee,0x8d,0xb9,0x3f,0x72,0x0a,0x37,0xab,0xc3,0xc9,0x91,0xd7,0x68,0x1c,0xbf,0xf1,0xa8,0x44,0xde,0x3c,0xfd,0x1c,0x19,0x44,0x6d,0x36,0x14,0x8c,0xbc,0xf2,0x43,0x17,0x3c,0x9e,0x3b,0x6c,0x85,0xb5,0xfc,0x26,0xda,0x2e,0x97,0xfb,0xa7,0x68,0x0e,0x2f,0xb8,0xcc,0x44,0x32,0x59,0xbc,0xe6,0xa4,0x67,0x41}, + {0x00,0x27,0xf6,0x76,0x28,0x9d,0x3b,0x64,0xeb,0x68,0x76,0x0e,0x40,0x9d,0x1d,0x5d,0x84,0x06,0xfc,0x21,0x03,0x43,0x4b,0x1b,0x6a,0x24,0x55,0x22,0x7e,0xbb,0x38,0x79,0xee,0x8f,0xce,0xf8,0x65,0x26,0xbe,0xc2,0x2c,0xd6,0x80,0xe8,0x14,0xff,0x67,0xe9,0xee,0x4e,0x36,0x2f,0x7e,0x6e,0x2e,0xf1,0xf6,0xd2,0x7e,0xcb,0x70,0x33,0xb3,0x34,0xcc,0xd6,0x81,0x86,0xee,0x91,0xc5,0xcd,0x53,0xa7,0x85,0xed,0x9c,0x10,0x02,0xce,0x83,0x88,0x80,0x58,0xc1,0x85,0x74,0xed,0xe4,0x65,0xfe,0x2d,0x6e,0xfc,0x76,0x11}, + {0x9b,0x61,0x9c,0x5b,0xd0,0x6c,0xaf,0xb4,0x80,0x84,0xa5,0xb2,0xf4,0xc9,0xdf,0x2d,0xc4,0x4d,0xe9,0xeb,0x02,0xa5,0x4f,0x3d,0x34,0x5f,0x7d,0x67,0x4c,0x3a,0xfc,0x08,0xb8,0x0e,0x77,0x49,0x89,0xe2,0x90,0xdb,0xa3,0x40,0xf4,0xac,0x2a,0xcc,0xfb,0x98,0x9b,0x87,0xd7,0xde,0xfe,0x4f,0x35,0x21,0xb6,0x06,0x69,0xf2,0x54,0x3e,0x6a,0x1f,0xea,0x34,0x07,0xd3,0x99,0xc1,0xa4,0x60,0xd6,0x5c,0x16,0x31,0xb6,0x85,0xc0,0x40,0x95,0x82,0x59,0xf7,0x23,0x3e,0x33,0xe2,0xd1,0x00,0xb9,0x16,0x01,0xad,0x2f,0x4f}, + {0x54,0x4e,0xae,0x94,0x41,0xb2,0xbe,0x44,0x6c,0xef,0x57,0x18,0x51,0x1c,0x54,0x5f,0x98,0x04,0x8d,0x36,0x2d,0x6b,0x1e,0xa6,0xab,0xf7,0x2e,0x97,0xa4,0x84,0x54,0x44,0x38,0xb6,0x3b,0xb7,0x1d,0xd9,0x2c,0x96,0x08,0x9c,0x12,0xfc,0xaa,0x77,0x05,0xe6,0x89,0x16,0xb6,0xf3,0x39,0x9b,0x61,0x6f,0x81,0xee,0x44,0x29,0x5f,0x99,0x51,0x34,0x7c,0x7d,0xea,0x9f,0xd0,0xfc,0x52,0x91,0xf6,0x5c,0x93,0xb0,0x94,0x6c,0x81,0x4a,0x40,0x5c,0x28,0x47,0xaa,0x9a,0x8e,0x25,0xb7,0x93,0x28,0x04,0xa6,0x9c,0xb8,0x10}, + {0x9c,0x28,0x18,0x97,0x49,0x47,0x59,0x3d,0x26,0x3f,0x53,0x24,0xc5,0xf8,0xeb,0x12,0x15,0xef,0xc3,0x14,0xcb,0xbf,0x62,0x02,0x8e,0x51,0xb7,0x77,0xd5,0x78,0xb8,0x20,0x6e,0xf0,0x45,0x5a,0xbe,0x41,0x39,0x75,0x65,0x5f,0x9c,0x6d,0xed,0xae,0x7c,0xd0,0xb6,0x51,0xff,0x72,0x9c,0x6b,0x77,0x11,0xa9,0x4d,0x0d,0xef,0xd9,0xd1,0xd2,0x17,0x6a,0x3e,0x3f,0x07,0x18,0xaf,0xf2,0x27,0x69,0x10,0x52,0xd7,0x19,0xe5,0x3f,0xfd,0x22,0x00,0xa6,0x3c,0x2c,0xb7,0xe3,0x22,0xa7,0xc6,0x65,0xcc,0x63,0x4f,0x21,0x72}, + {0x93,0xa6,0x07,0x53,0x40,0x7f,0xe3,0xb4,0x95,0x67,0x33,0x2f,0xd7,0x14,0xa7,0xab,0x99,0x10,0x76,0x73,0xa7,0xd0,0xfb,0xd6,0xc9,0xcb,0x71,0x81,0xc5,0x48,0xdf,0x5f,0xc9,0x29,0x3b,0xf4,0xb9,0xb7,0x9d,0x1d,0x75,0x8f,0x51,0x4f,0x4a,0x82,0x05,0xd6,0xc4,0x9d,0x2f,0x31,0xbd,0x72,0xc0,0xf2,0xb0,0x45,0x15,0x5a,0x85,0xac,0x24,0x1f,0xaa,0x05,0x95,0x8e,0x32,0x08,0xd6,0x24,0xee,0x20,0x14,0x0c,0xd1,0xc1,0x48,0x47,0xa2,0x25,0xfb,0x06,0x5c,0xe4,0xff,0xc7,0xe6,0x95,0xe3,0x2a,0x9e,0x73,0xba,0x00}, + {0xd6,0x90,0x87,0x5c,0xde,0x98,0x2e,0x59,0xdf,0xa2,0xc2,0x45,0xd3,0xb7,0xbf,0xe5,0x22,0x99,0xb4,0xf9,0x60,0x3b,0x5a,0x11,0xf3,0x78,0xad,0x67,0x3e,0x3a,0x28,0x03,0x26,0xbb,0x88,0xea,0xf5,0x26,0x44,0xae,0xfb,0x3b,0x97,0x84,0xd9,0x79,0x06,0x36,0x50,0x4e,0x69,0x26,0x0c,0x03,0x9f,0x5c,0x26,0xd2,0x18,0xd5,0xe7,0x7d,0x29,0x72,0x39,0xb9,0x0c,0xbe,0xc7,0x1d,0x24,0x48,0x80,0x30,0x63,0x8b,0x4d,0x9b,0xf1,0x32,0x08,0x93,0x28,0x02,0x0d,0xc9,0xdf,0xd3,0x45,0x19,0x27,0x46,0x68,0x29,0xe1,0x05}, + {0x5a,0x49,0x9c,0x2d,0xb3,0xee,0x82,0xba,0x7c,0xb9,0x2b,0xf1,0xfc,0xc8,0xef,0xce,0xe0,0xd1,0xb5,0x93,0xae,0xab,0x2d,0xb0,0x9b,0x8d,0x69,0x13,0x9c,0x0c,0xc0,0x39,0x50,0x45,0x2c,0x24,0xc8,0xbb,0xbf,0xad,0xd9,0x81,0x30,0xd0,0xec,0x0c,0xc8,0xbc,0x92,0xdf,0xc8,0xf5,0xa6,0x66,0x35,0x84,0x4c,0xce,0x58,0x82,0xd3,0x25,0xcf,0x78,0x68,0x9d,0x48,0x31,0x8e,0x6b,0xae,0x15,0x87,0xf0,0x2b,0x9c,0xab,0x1c,0x85,0xaa,0x05,0xfa,0x4e,0xf0,0x97,0x5a,0xa7,0xc9,0x32,0xf8,0x3f,0x6b,0x07,0x52,0x6b,0x00}, + {0x1c,0x78,0x95,0x9d,0xe1,0xcf,0xe0,0x29,0xe2,0x10,0x63,0x96,0x18,0xdf,0x81,0xb6,0x39,0x6b,0x51,0x70,0xd3,0x39,0xdf,0x57,0x22,0x61,0xc7,0x3b,0x44,0xe3,0x57,0x4d,0x2d,0x08,0xce,0xb9,0x16,0x7e,0xcb,0xf5,0x29,0xbc,0x7a,0x41,0x4c,0xf1,0x07,0x34,0xab,0xa7,0xf4,0x2b,0xce,0x6b,0xb3,0xd4,0xce,0x75,0x9f,0x1a,0x56,0xe9,0xe2,0x7d,0xcb,0x5e,0xa5,0xb6,0xf4,0xd4,0x70,0xde,0x99,0xdb,0x85,0x5d,0x7f,0x52,0x01,0x48,0x81,0x9a,0xee,0xd3,0x40,0xc4,0xc9,0xdb,0xed,0x29,0x60,0x1a,0xaf,0x90,0x2a,0x6b}, + {0x97,0x1e,0xe6,0x9a,0xfc,0xf4,0x23,0x69,0xd1,0x5f,0x3f,0xe0,0x1d,0x28,0x35,0x57,0x2d,0xd1,0xed,0xe6,0x43,0xae,0x64,0xa7,0x4a,0x3e,0x2d,0xd1,0xe9,0xf4,0xd8,0x5f,0x0a,0xd8,0xb2,0x5b,0x24,0xf3,0xeb,0x77,0x9b,0x07,0xb9,0x2f,0x47,0x1b,0x30,0xd8,0x33,0x73,0xee,0x4c,0xf2,0xe6,0x47,0xc6,0x09,0x21,0x6c,0x27,0xc8,0x12,0x58,0x46,0xd9,0x62,0x10,0x2a,0xb2,0xbe,0x43,0x4d,0x16,0xdc,0x31,0x38,0x75,0xfb,0x65,0x70,0xd7,0x68,0x29,0xde,0x7b,0x4a,0x0d,0x18,0x90,0x67,0xb1,0x1c,0x2b,0x2c,0xb3,0x05}, + {0xfd,0xa8,0x4d,0xd2,0xcc,0x5e,0xc0,0xc8,0x83,0xef,0xdf,0x05,0xac,0x1a,0xcf,0xa1,0x61,0xcd,0xf9,0x7d,0xf2,0xef,0xbe,0xdb,0x99,0x1e,0x47,0x7b,0xa3,0x56,0x55,0x3b,0x95,0x81,0xd5,0x7a,0x2c,0xa4,0xfc,0xf7,0xcc,0xf3,0x33,0x43,0x6e,0x28,0x14,0x32,0x9d,0x97,0x0b,0x34,0x0d,0x9d,0xc2,0xb6,0xe1,0x07,0x73,0x56,0x48,0x1a,0x77,0x31,0x82,0xd4,0x4d,0xe1,0x24,0xc5,0xb0,0x32,0xb6,0xa4,0x2b,0x1a,0x54,0x51,0xb3,0xed,0xf3,0x5a,0x2b,0x28,0x48,0x60,0xd1,0xa3,0xeb,0x36,0x73,0x7a,0xd2,0x79,0xc0,0x4f}, + {0x7f,0x2f,0xbf,0x89,0xb0,0x38,0xc9,0x51,0xa7,0xe9,0xdf,0x02,0x65,0xbd,0x97,0x24,0x53,0xe4,0x80,0x78,0x9c,0xc0,0xff,0xff,0x92,0x8e,0xf9,0xca,0xce,0x67,0x45,0x12,0x0d,0xc5,0x86,0x0c,0x44,0x8b,0x34,0xdc,0x51,0xe6,0x94,0xcc,0xc9,0xcb,0x37,0x13,0xb9,0x3c,0x3e,0x64,0x4d,0xf7,0x22,0x64,0x08,0xcd,0xe3,0xba,0xc2,0x70,0x11,0x24,0xb4,0x73,0xc4,0x0a,0x86,0xab,0xf9,0x3f,0x35,0xe4,0x13,0x01,0xee,0x1d,0x91,0xf0,0xaf,0xc4,0xc6,0xeb,0x60,0x50,0xe7,0x4a,0x0d,0x00,0x87,0x6c,0x96,0x12,0x86,0x3f}, + {0xde,0x0d,0x2a,0x78,0xc9,0x0c,0x9a,0x55,0x85,0x83,0x71,0xea,0xb2,0xcd,0x1d,0x55,0x8c,0x23,0xef,0x31,0x5b,0x86,0x62,0x7f,0x3d,0x61,0x73,0x79,0x76,0xa7,0x4a,0x50,0x13,0x8d,0x04,0x36,0xfa,0xfc,0x18,0x9c,0xdd,0x9d,0x89,0x73,0xb3,0x9d,0x15,0x29,0xaa,0xd0,0x92,0x9f,0x0b,0x35,0x9f,0xdc,0xd4,0x19,0x8a,0x87,0xee,0x7e,0xf5,0x26,0xb1,0xef,0x87,0x56,0xd5,0x2c,0xab,0x0c,0x7b,0xf1,0x7a,0x24,0x62,0xd1,0x80,0x51,0x67,0x24,0x5a,0x4f,0x34,0x5a,0xc1,0x85,0x69,0x30,0xba,0x9d,0x3d,0x94,0x41,0x40}, + {0x96,0xcc,0xeb,0x43,0xba,0xee,0xc0,0xc3,0xaf,0x9c,0xea,0x26,0x9c,0x9c,0x74,0x8d,0xc6,0xcc,0x77,0x1c,0xee,0x95,0xfa,0xd9,0x0f,0x34,0x84,0x76,0xd9,0xa1,0x20,0x14,0xdd,0xaa,0x6c,0xa2,0x43,0x77,0x21,0x4b,0xce,0xb7,0x8a,0x64,0x24,0xb4,0xa6,0x47,0xe3,0xc9,0xfb,0x03,0x7a,0x4f,0x1d,0xcb,0x19,0xd0,0x00,0x98,0x42,0x31,0xd9,0x12,0x4f,0x59,0x37,0xd3,0x99,0x77,0xc6,0x00,0x7b,0xa4,0x3a,0xb2,0x40,0x51,0x3c,0x5e,0x95,0xf3,0x5f,0xe3,0x54,0x28,0x18,0x44,0x12,0xa0,0x59,0x43,0x31,0x92,0x4f,0x1b}, + {0x51,0x09,0x15,0x89,0x9d,0x10,0x5c,0x3e,0x6a,0x69,0xe9,0x2d,0x91,0xfa,0xce,0x39,0x20,0x30,0x5f,0x97,0x3f,0xe4,0xea,0x20,0xae,0x2d,0x13,0x7f,0x2a,0x57,0x9b,0x23,0xb1,0x66,0x98,0xa4,0x30,0x30,0xcf,0x33,0x59,0x48,0x5f,0x21,0xd2,0x73,0x1f,0x25,0xf6,0xf4,0xde,0x51,0x40,0xaa,0x82,0xab,0xf6,0x23,0x9a,0x6f,0xd5,0x91,0xf1,0x5f,0x68,0x90,0x2d,0xac,0x33,0xd4,0x9e,0x81,0x23,0x85,0xc9,0x5f,0x79,0xab,0x83,0x28,0x3d,0xeb,0x93,0x55,0x80,0x72,0x45,0xef,0xcb,0x36,0x8f,0x75,0x6a,0x52,0x0c,0x02}, + {0xbc,0xdb,0xd8,0x9e,0xf8,0x34,0x98,0x77,0x6c,0xa4,0x7c,0xdc,0xf9,0xaa,0xf2,0xc8,0x74,0xb0,0xe1,0xa3,0xdc,0x4c,0x52,0xa9,0x77,0x38,0x31,0x15,0x46,0xcc,0xaa,0x02,0x89,0xcc,0x42,0xf0,0x59,0xef,0x31,0xe9,0xb6,0x4b,0x12,0x8e,0x9d,0x9c,0x58,0x2c,0x97,0x59,0xc7,0xae,0x8a,0xe1,0xc8,0xad,0x0c,0xc5,0x02,0x56,0x0a,0xfe,0x2c,0x45,0xdf,0x77,0x78,0x64,0xa0,0xf7,0xa0,0x86,0x9f,0x7c,0x60,0x0e,0x27,0x64,0xc4,0xbb,0xc9,0x11,0xfb,0xf1,0x25,0xea,0x17,0xab,0x7b,0x87,0x4b,0x30,0x7b,0x7d,0xfb,0x4c}, + {0xfe,0x75,0x9b,0xb8,0x6c,0x3d,0xb4,0x72,0x80,0xdc,0x6a,0x9c,0xd9,0x94,0xc6,0x54,0x9f,0x4c,0xe3,0x3e,0x37,0xaa,0xc3,0xb8,0x64,0x53,0x07,0x39,0x2b,0x62,0xb4,0x14,0x12,0xef,0x89,0x97,0xc2,0x99,0x86,0xe2,0x0d,0x19,0x57,0xdf,0x71,0xcd,0x6e,0x2b,0xd0,0x70,0xc9,0xec,0x57,0xc8,0x43,0xc3,0xc5,0x3a,0x4d,0x43,0xbc,0x4c,0x1d,0x5b,0x26,0x9f,0x0a,0xcc,0x15,0x26,0xfb,0xb6,0xe5,0xcc,0x8d,0xb8,0x2b,0x0e,0x4f,0x3a,0x05,0xa7,0x69,0x33,0x8b,0x49,0x01,0x13,0xd1,0x2d,0x59,0x58,0x12,0xf7,0x98,0x2f}, + {0x56,0x9e,0x0f,0xb5,0x4c,0xa7,0x94,0x0c,0x20,0x13,0x8e,0x8e,0xa9,0xf4,0x1f,0x5b,0x67,0x0f,0x30,0x82,0x21,0xcc,0x2a,0x9a,0xf9,0xaa,0x06,0xd8,0x49,0xe2,0x6a,0x3a,0x01,0xa7,0x54,0x4f,0x44,0xae,0x12,0x2e,0xde,0xd7,0xcb,0xa9,0xf0,0x3e,0xfe,0xfc,0xe0,0x5d,0x83,0x75,0x0d,0x89,0xbf,0xce,0x54,0x45,0x61,0xe7,0xe9,0x62,0x80,0x1d,0x5a,0x7c,0x90,0xa9,0x85,0xda,0x7a,0x65,0x62,0x0f,0xb9,0x91,0xb5,0xa8,0x0e,0x1a,0xe9,0xb4,0x34,0xdf,0xfb,0x1d,0x0e,0x8d,0xf3,0x5f,0xf2,0xae,0xe8,0x8c,0x8b,0x29}, + {0xb2,0x0c,0xf7,0xef,0x53,0x79,0x92,0x2a,0x76,0x70,0x15,0x79,0x2a,0xc9,0x89,0x4b,0x6a,0xcf,0xa7,0x30,0x7a,0x45,0x18,0x94,0x85,0xe4,0x5c,0x4d,0x40,0xa8,0xb8,0x34,0xde,0x65,0x21,0x0a,0xea,0x72,0x7a,0x83,0xf6,0x79,0xcf,0x0b,0xb4,0x07,0xab,0x3f,0x70,0xae,0x38,0x77,0xc7,0x36,0x16,0x52,0xdc,0xd7,0xa7,0x03,0x18,0x27,0xa6,0x6b,0x35,0x33,0x69,0x83,0xb5,0xec,0x6e,0xc2,0xfd,0xfe,0xb5,0x63,0xdf,0x13,0xa8,0xd5,0x73,0x25,0xb2,0xa4,0x9a,0xaa,0x93,0xa2,0x6a,0x1c,0x5e,0x46,0xdd,0x2b,0xd6,0x71}, + {0x80,0xdf,0x78,0xd3,0x28,0xcc,0x33,0x65,0xb4,0xa4,0x0f,0x0a,0x79,0x43,0xdb,0xf6,0x5a,0xda,0x01,0xf7,0xf9,0x5f,0x64,0xe3,0xa4,0x2b,0x17,0xf3,0x17,0xf3,0xd5,0x74,0xf5,0x5e,0xf7,0xb1,0xda,0xb5,0x2d,0xcd,0xf5,0x65,0xb0,0x16,0xcf,0x95,0x7f,0xd7,0x85,0xf0,0x49,0x3f,0xea,0x1f,0x57,0x14,0x3d,0x2b,0x2b,0x26,0x21,0x36,0x33,0x1c,0x81,0xca,0xd9,0x67,0x54,0xe5,0x6f,0xa8,0x37,0x8c,0x29,0x2b,0x75,0x7c,0x8b,0x39,0x3b,0x62,0xac,0xe3,0x92,0x08,0x6d,0xda,0x8c,0xd9,0xe9,0x47,0x45,0xcc,0xeb,0x4a}, + {0xc9,0x01,0x6d,0x27,0x1b,0x07,0xf0,0x12,0x70,0x8c,0xc4,0x86,0xc5,0xba,0xb8,0xe7,0xa9,0xfb,0xd6,0x71,0x9b,0x12,0x08,0x53,0x92,0xb7,0x3d,0x5a,0xf9,0xfb,0x88,0x5d,0x10,0xb6,0x54,0x73,0x9e,0x8d,0x40,0x0b,0x6e,0x5b,0xa8,0x5b,0x53,0x32,0x6b,0x80,0x07,0xa2,0x58,0x4a,0x03,0x3a,0xe6,0xdb,0x2c,0xdf,0xa1,0xc9,0xdd,0xd9,0x3b,0x17,0xdf,0x72,0x58,0xfe,0x1e,0x0f,0x50,0x2b,0xc1,0x18,0x39,0xd4,0x2e,0x58,0xd6,0x58,0xe0,0x3a,0x67,0xc9,0x8e,0x27,0xed,0xe6,0x19,0xa3,0x9e,0xb1,0x13,0xcd,0xe1,0x06}, + {0x23,0x6f,0x16,0x6f,0x51,0xad,0xd0,0x40,0xbe,0x6a,0xab,0x1f,0x93,0x32,0x8e,0x11,0x8e,0x08,0x4d,0xa0,0x14,0x5e,0xe3,0x3f,0x66,0x62,0xe1,0x26,0x35,0x60,0x80,0x30,0x53,0x03,0x5b,0x9e,0x62,0xaf,0x2b,0x47,0x47,0x04,0x8d,0x27,0x90,0x0b,0xaa,0x3b,0x27,0xbf,0x43,0x96,0x46,0x5f,0x78,0x0c,0x13,0x7b,0x83,0x8d,0x1a,0x6a,0x3a,0x7f,0x0b,0x80,0x3d,0x5d,0x39,0x44,0xe6,0xf7,0xf6,0xed,0x01,0xc9,0x55,0xd5,0xa8,0x95,0x39,0x63,0x2c,0x59,0x30,0x78,0xcd,0x68,0x7e,0x30,0x51,0x2e,0xed,0xfd,0xd0,0x30}, + {0xb3,0x33,0x12,0xf2,0x1a,0x4d,0x59,0xe0,0x9c,0x4d,0xcc,0xf0,0x8e,0xe7,0xdb,0x1b,0x77,0x9a,0x49,0x8f,0x7f,0x18,0x65,0x69,0x68,0x98,0x09,0x2c,0x20,0x14,0x92,0x0a,0x50,0x47,0xb8,0x68,0x1e,0x97,0xb4,0x9c,0xcf,0xbb,0x64,0x66,0x29,0x72,0x95,0xa0,0x2b,0x41,0xfa,0x72,0x26,0xe7,0x8d,0x5c,0xd9,0x89,0xc5,0x51,0x43,0x08,0x15,0x46,0x2e,0xa0,0xb9,0xae,0xc0,0x19,0x90,0xbc,0xae,0x4c,0x03,0x16,0x0d,0x11,0xc7,0x55,0xec,0x32,0x99,0x65,0x01,0xf5,0x6d,0x0e,0xfe,0x5d,0xca,0x95,0x28,0x0d,0xca,0x3b}, + {0xa4,0x62,0x5d,0x3c,0xbc,0x31,0xf0,0x40,0x60,0x7a,0xf0,0xcf,0x3e,0x8b,0xfc,0x19,0x45,0xb5,0x0f,0x13,0xa2,0x3d,0x18,0x98,0xcd,0x13,0x8f,0xae,0xdd,0xde,0x31,0x56,0xbf,0x01,0xcc,0x9e,0xb6,0x8e,0x68,0x9c,0x6f,0x89,0x44,0xa6,0xad,0x83,0xbc,0xf0,0xe2,0x9f,0x7a,0x5f,0x5f,0x95,0x2d,0xca,0x41,0x82,0xf2,0x8d,0x03,0xb4,0xa8,0x4e,0x02,0xd2,0xca,0xf1,0x0a,0x46,0xed,0x2a,0x83,0xee,0x8c,0xa4,0x05,0x53,0x30,0x46,0x5f,0x1a,0xf1,0x49,0x45,0x77,0x21,0x91,0x63,0xa4,0x2c,0x54,0x30,0x09,0xce,0x24}, + {0x06,0xc1,0x06,0xfd,0xf5,0x90,0xe8,0x1f,0xf2,0x10,0x88,0x5d,0x35,0x68,0xc4,0xb5,0x3e,0xaf,0x8c,0x6e,0xfe,0x08,0x78,0x82,0x4b,0xd7,0x06,0x8a,0xc2,0xe3,0xd4,0x41,0x85,0x0b,0xf3,0xfd,0x55,0xa1,0xcf,0x3f,0xa4,0x2e,0x37,0x36,0x8e,0x16,0xf7,0xd2,0x44,0xf8,0x92,0x64,0xde,0x64,0xe0,0xb2,0x80,0x42,0x4f,0x32,0xa7,0x28,0x99,0x54,0x2e,0x1a,0xee,0x63,0xa7,0x32,0x6e,0xf2,0xea,0xfd,0x5f,0xd2,0xb7,0xe4,0x91,0xae,0x69,0x4d,0x7f,0xd1,0x3b,0xd3,0x3b,0xbc,0x6a,0xff,0xdc,0xc0,0xde,0x66,0x1b,0x49}, + {0xa7,0x32,0xea,0xc7,0x3d,0xb1,0xf5,0x98,0x98,0xdb,0x16,0x7e,0xcc,0xf8,0xd5,0xe3,0x47,0xd9,0xf8,0xcb,0x52,0xbf,0x0a,0xac,0xac,0xe4,0x5e,0xc8,0xd0,0x38,0xf3,0x08,0xa1,0x64,0xda,0xd0,0x8e,0x4a,0xf0,0x75,0x4b,0x28,0xe2,0x67,0xaf,0x2c,0x22,0xed,0xa4,0x7b,0x7b,0x1f,0x79,0xa3,0x34,0x82,0x67,0x8b,0x01,0xb7,0xb0,0xb8,0xf6,0x4c,0xbd,0x73,0x1a,0x99,0x21,0xa8,0x83,0xc3,0x7a,0x0c,0x32,0xdf,0x01,0xbc,0x27,0xab,0x63,0x70,0x77,0x84,0x1b,0x33,0x3d,0xc1,0x99,0x8a,0x07,0xeb,0x82,0x4a,0x0d,0x53}, + {0x25,0x48,0xf9,0xe1,0x30,0x36,0x4c,0x00,0x5a,0x53,0xab,0x8c,0x26,0x78,0x2d,0x7e,0x8b,0xff,0x84,0xcc,0x23,0x23,0x48,0xc7,0xb9,0x70,0x17,0x10,0x3f,0x75,0xea,0x65,0x9e,0xbf,0x9a,0x6c,0x45,0x73,0x69,0x6d,0x80,0xa8,0x00,0x49,0xfc,0xb2,0x7f,0x25,0x50,0xb8,0xcf,0xc8,0x12,0xf4,0xac,0x2b,0x5b,0xbd,0xbf,0x0c,0xe0,0xe7,0xb3,0x0d,0x63,0x63,0x09,0xe2,0x3e,0xfc,0x66,0x3d,0x6b,0xcb,0xb5,0x61,0x7f,0x2c,0xd6,0x81,0x1a,0x3b,0x44,0x13,0x42,0x04,0xbe,0x0f,0xdb,0xa1,0xe1,0x21,0x19,0xec,0xa4,0x02}, + {0xa2,0xb8,0x24,0x3b,0x9a,0x25,0xe6,0x5c,0xb8,0xa0,0xaf,0x45,0xcc,0x7a,0x57,0xb8,0x37,0x70,0xa0,0x8b,0xe8,0xe6,0xcb,0xcc,0xbf,0x09,0x78,0x12,0x51,0x3c,0x14,0x3d,0x5f,0x79,0xcf,0xf1,0x62,0x61,0xc8,0xf5,0xf2,0x57,0xee,0x26,0x19,0x86,0x8c,0x11,0x78,0x35,0x06,0x1c,0x85,0x24,0x21,0x17,0xcf,0x7f,0x06,0xec,0x5d,0x2b,0xd1,0x36,0x57,0x45,0x15,0x79,0x91,0x27,0x6d,0x12,0x0a,0x3a,0x78,0xfc,0x5c,0x8f,0xe4,0xd5,0xac,0x9b,0x17,0xdf,0xe8,0xb6,0xbd,0x36,0x59,0x28,0xa8,0x5b,0x88,0x17,0xf5,0x2e}, + {0xdc,0xae,0x58,0x8c,0x4e,0x97,0x37,0x46,0xa4,0x41,0xf0,0xab,0xfb,0x22,0xef,0xb9,0x8a,0x71,0x80,0xe9,0x56,0xd9,0x85,0xe1,0xa6,0xa8,0x43,0xb1,0xfa,0x78,0x1b,0x2f,0x51,0x2f,0x5b,0x30,0xfb,0xbf,0xee,0x96,0xb8,0x96,0x95,0x88,0xad,0x38,0xf9,0xd3,0x25,0xdd,0xd5,0x46,0xc7,0x2d,0xf5,0xf0,0x95,0x00,0x3a,0xbb,0x90,0x82,0x96,0x57,0x01,0xe1,0x20,0x0a,0x43,0xb8,0x1a,0xf7,0x47,0xec,0xf0,0x24,0x8d,0x65,0x93,0xf3,0xd1,0xee,0xe2,0x6e,0xa8,0x09,0x75,0xcf,0xe1,0xa3,0x2a,0xdc,0x35,0x3e,0xc4,0x7d}, + {0xc3,0xd9,0x7d,0x88,0x65,0x66,0x96,0x85,0x55,0x53,0xb0,0x4b,0x31,0x9b,0x0f,0xc9,0xb1,0x79,0x20,0xef,0xf8,0x8d,0xe0,0xc6,0x2f,0xc1,0x8c,0x75,0x16,0x20,0xf7,0x7e,0x18,0x97,0x3e,0x27,0x5c,0x2a,0x78,0x5a,0x94,0xfd,0x4e,0x5e,0x99,0xc6,0x76,0x35,0x3e,0x7d,0x23,0x1f,0x05,0xd8,0x2e,0x0f,0x99,0x0a,0xd5,0x82,0x1d,0xb8,0x4f,0x04,0xd9,0xe3,0x07,0xa9,0xc5,0x18,0xdf,0xc1,0x59,0x63,0x4c,0xce,0x1d,0x37,0xb3,0x57,0x49,0xbb,0x01,0xb2,0x34,0x45,0x70,0xca,0x2e,0xdd,0x30,0x9c,0x3f,0x82,0x79,0x7f}, + {0xe8,0x13,0xb5,0xa3,0x39,0xd2,0x34,0x83,0xd8,0xa8,0x1f,0xb9,0xd4,0x70,0x36,0xc1,0x33,0xbd,0x90,0xf5,0x36,0x41,0xb5,0x12,0xb4,0xd9,0x84,0xd7,0x73,0x03,0x4e,0x0a,0xba,0x87,0xf5,0x68,0xf0,0x1f,0x9c,0x6a,0xde,0xc8,0x50,0x00,0x4e,0x89,0x27,0x08,0xe7,0x5b,0xed,0x7d,0x55,0x99,0xbf,0x3c,0xf0,0xd6,0x06,0x1c,0x43,0xb0,0xa9,0x64,0x19,0x29,0x7d,0x5b,0xa1,0xd6,0xb3,0x2e,0x35,0x82,0x3a,0xd5,0xa0,0xf6,0xb4,0xb0,0x47,0x5d,0xa4,0x89,0x43,0xce,0x56,0x71,0x6c,0x34,0x18,0xce,0x0a,0x7d,0x1a,0x07}, + {0x0b,0xba,0x87,0xc8,0xaa,0x2d,0x07,0xd3,0xee,0x62,0xa5,0xbf,0x05,0x29,0x26,0x01,0x8b,0x76,0xef,0xc0,0x02,0x30,0x54,0xcf,0x9c,0x7e,0xea,0x46,0x71,0xcc,0x3b,0x2c,0x31,0x44,0xe1,0x20,0x52,0x35,0x0c,0xcc,0x41,0x51,0xb1,0x09,0x07,0x95,0x65,0x0d,0x36,0x5f,0x9d,0x20,0x1b,0x62,0xf5,0x9a,0xd3,0x55,0x77,0x61,0xf7,0xbc,0x69,0x7c,0x5f,0x29,0xe8,0x04,0xeb,0xd7,0xf0,0x07,0x7d,0xf3,0x50,0x2f,0x25,0x18,0xdb,0x10,0xd7,0x98,0x17,0x17,0xa3,0xa9,0x51,0xe9,0x1d,0xa5,0xac,0x22,0x73,0x9a,0x5a,0x6f}, + {0xc5,0xc6,0x41,0x2f,0x0c,0x00,0xa1,0x8b,0x9b,0xfb,0xfe,0x0c,0xc1,0x79,0x9f,0xc4,0x9f,0x1c,0xc5,0x3c,0x70,0x47,0xfa,0x4e,0xca,0xaf,0x47,0xe1,0xa2,0x21,0x4e,0x49,0xbe,0x44,0xd9,0xa3,0xeb,0xd4,0x29,0xe7,0x9e,0xaf,0x78,0x80,0x40,0x09,0x9e,0x8d,0x03,0x9c,0x86,0x47,0x7a,0x56,0x25,0x45,0x24,0x3b,0x8d,0xee,0x80,0x96,0xab,0x02,0x9a,0x0d,0xe5,0xdd,0x85,0x8a,0xa4,0xef,0x49,0xa2,0xb9,0x0f,0x4e,0x22,0x9a,0x21,0xd9,0xf6,0x1e,0xd9,0x1d,0x1f,0x09,0xfa,0x34,0xbb,0x46,0xea,0xcb,0x76,0x5d,0x6b}, + {0x94,0xd9,0x0c,0xec,0x6c,0x55,0x57,0x88,0xba,0x1d,0xd0,0x5c,0x6f,0xdc,0x72,0x64,0x77,0xb4,0x42,0x8f,0x14,0x69,0x01,0xaf,0x54,0x73,0x27,0x85,0xf6,0x33,0xe3,0x0a,0x22,0x25,0x78,0x1e,0x17,0x41,0xf9,0xe0,0xd3,0x36,0x69,0x03,0x74,0xae,0xe6,0xf1,0x46,0xc7,0xfc,0xd0,0xa2,0x3e,0x8b,0x40,0x3e,0x31,0xdd,0x03,0x9c,0x86,0xfb,0x16,0x62,0x09,0xb6,0x33,0x97,0x19,0x8e,0x28,0x33,0xe1,0xab,0xd8,0xb4,0x72,0xfc,0x24,0x3e,0xd0,0x91,0x09,0xed,0xf7,0x11,0x48,0x75,0xd0,0x70,0x8f,0x8b,0xe3,0x81,0x3f}, + {0xfe,0xaf,0xd9,0x7e,0xcc,0x0f,0x91,0x7f,0x4b,0x87,0x65,0x24,0xa1,0xb8,0x5c,0x54,0x04,0x47,0x0c,0x4b,0xd2,0x7e,0x39,0xa8,0x93,0x09,0xf5,0x04,0xc1,0x0f,0x51,0x50,0x24,0xc8,0x17,0x5f,0x35,0x7f,0xdb,0x0a,0xa4,0x99,0x42,0xd7,0xc3,0x23,0xb9,0x74,0xf7,0xea,0xf8,0xcb,0x8b,0x3e,0x7c,0xd5,0x3d,0xdc,0xde,0x4c,0xd3,0xe2,0xd3,0x0a,0x9d,0x24,0x6e,0x33,0xc5,0x0f,0x0c,0x6f,0xd9,0xcf,0x31,0xc3,0x19,0xde,0x5e,0x74,0x1c,0xfe,0xee,0x09,0x00,0xfd,0xd6,0xf2,0xbe,0x1e,0xfa,0xf0,0x8b,0x15,0x7c,0x12}, + {0xa2,0x79,0x98,0x2e,0x42,0x7c,0x19,0xf6,0x47,0x36,0xca,0x52,0xd4,0xdd,0x4a,0xa4,0xcb,0xac,0x4e,0x4b,0xc1,0x3f,0x41,0x9b,0x68,0x4f,0xef,0x07,0x7d,0xf8,0x4e,0x35,0x74,0xb9,0x51,0xae,0xc4,0x8f,0xa2,0xde,0x96,0xfe,0x4d,0x74,0xd3,0x73,0x99,0x1d,0xa8,0x48,0x38,0x87,0x0b,0x68,0x40,0x62,0x95,0xdf,0x67,0xd1,0x79,0x24,0xd8,0x4e,0x75,0xd9,0xc5,0x60,0x22,0xb5,0xe3,0xfe,0xb8,0xb0,0x41,0xeb,0xfc,0x2e,0x35,0x50,0x3c,0x65,0xf6,0xa9,0x30,0xac,0x08,0x88,0x6d,0x23,0x39,0x05,0xd2,0x92,0x2d,0x30}, + {0x3d,0x28,0xa4,0xbc,0xa2,0xc1,0x13,0x78,0xd9,0x3d,0x86,0xa1,0x91,0xf0,0x62,0xed,0x86,0xfa,0x68,0xc2,0xb8,0xbc,0xc7,0xae,0x4c,0xae,0x1c,0x6f,0xb7,0xd3,0xe5,0x10,0x77,0xf1,0xe0,0xe4,0xb6,0x6f,0xbc,0x2d,0x93,0x6a,0xbd,0xa4,0x29,0xbf,0xe1,0x04,0xe8,0xf6,0x7a,0x78,0xd4,0x66,0x19,0x5e,0x60,0xd0,0x26,0xb4,0x5e,0x5f,0xdc,0x0e,0x67,0x8e,0xda,0x53,0xd6,0xbf,0x53,0x54,0x41,0xf6,0xa9,0x24,0xec,0x1e,0xdc,0xe9,0x23,0x8a,0x57,0x03,0x3b,0x26,0x87,0xbf,0x72,0xba,0x1c,0x36,0x51,0x6c,0xb4,0x45}, + {0xa1,0x7f,0x4f,0x31,0xbf,0x2a,0x40,0xa9,0x50,0xf4,0x8c,0x8e,0xdc,0xf1,0x57,0xe2,0x84,0xbe,0xa8,0x23,0x4b,0xd5,0xbb,0x1d,0x3b,0x71,0xcb,0x6d,0xa3,0xbf,0x77,0x21,0xe4,0xe3,0x7f,0x8a,0xdd,0x4d,0x9d,0xce,0x30,0x0e,0x62,0x76,0x56,0x64,0x13,0xab,0x58,0x99,0x0e,0xb3,0x7b,0x4f,0x59,0x4b,0xdf,0x29,0x12,0x32,0xef,0x0a,0x1c,0x5c,0x8f,0xdb,0x79,0xfa,0xbc,0x1b,0x08,0x37,0xb3,0x59,0x5f,0xc2,0x1e,0x81,0x48,0x60,0x87,0x24,0x83,0x9c,0x65,0x76,0x7a,0x08,0xbb,0xb5,0x8a,0x7d,0x38,0x19,0xe6,0x4a}, + {0x2e,0xa3,0x44,0x53,0xaa,0xf6,0xdb,0x8d,0x78,0x40,0x1b,0xb4,0xb4,0xea,0x88,0x7d,0x60,0x0d,0x13,0x4a,0x97,0xeb,0xb0,0x5e,0x03,0x3e,0xbf,0x17,0x1b,0xd9,0x00,0x1a,0x83,0xfb,0x5b,0x98,0x44,0x7e,0x11,0x61,0x36,0x31,0x96,0x71,0x2a,0x46,0xe0,0xfc,0x4b,0x90,0x25,0xd4,0x48,0x34,0xac,0x83,0x64,0x3d,0xa4,0x5b,0xbe,0x5a,0x68,0x75,0xb2,0xf2,0x61,0xeb,0x33,0x09,0x96,0x6e,0x52,0x49,0xff,0xc9,0xa8,0x0f,0x3d,0x54,0x69,0x65,0xf6,0x7a,0x10,0x75,0x72,0xdf,0xaa,0xe6,0xb0,0x23,0xb6,0x29,0x55,0x13}, + {0x18,0xd5,0xd1,0xad,0xd7,0xdb,0xf0,0x18,0x11,0x1f,0xc1,0xcf,0x88,0x78,0x9f,0x97,0x9b,0x75,0x14,0x71,0xf0,0xe1,0x32,0x87,0x01,0x3a,0xca,0x65,0x1a,0xb8,0xb5,0x79,0xfe,0x83,0x2e,0xe2,0xbc,0x16,0xc7,0xf5,0xc1,0x85,0x09,0xe8,0x19,0xeb,0x2b,0xb4,0xae,0x4a,0x25,0x14,0x37,0xa6,0x9d,0xec,0x13,0xa6,0x90,0x15,0x05,0xea,0x72,0x59,0x11,0x78,0x8f,0xdc,0x20,0xac,0xd4,0x0f,0xa8,0x4f,0x4d,0xac,0x94,0xd2,0x9a,0x9a,0x34,0x04,0x36,0xb3,0x64,0x2d,0x1b,0xc0,0xdb,0x3b,0x5f,0x90,0x95,0x9c,0x7e,0x4f}, + {0x2e,0x30,0x81,0x57,0xbc,0x4b,0x67,0x62,0x0f,0xdc,0xad,0x89,0x39,0x0f,0x52,0xd8,0xc6,0xd9,0xfb,0x53,0xae,0x99,0x29,0x8c,0x4c,0x8e,0x63,0x2e,0xd9,0x3a,0x99,0x31,0xfe,0x99,0x52,0x35,0x3d,0x44,0xc8,0x71,0xd7,0xea,0xeb,0xdb,0x1c,0x3b,0xcd,0x8b,0x66,0x94,0xa4,0xf1,0x9e,0x49,0x92,0x80,0xc8,0xad,0x44,0xa1,0xc4,0xee,0x42,0x19,0x92,0x49,0x23,0xae,0x19,0x53,0xac,0x7d,0x92,0x3e,0xea,0x0c,0x91,0x3d,0x1b,0x2c,0x22,0x11,0x3c,0x25,0x94,0xe4,0x3c,0x55,0x75,0xca,0xf9,0x4e,0x31,0x65,0x0a,0x2a}, + {0xc2,0x27,0xf9,0xf7,0x7f,0x93,0xb7,0x2d,0x35,0xa6,0xd0,0x17,0x06,0x1f,0x74,0xdb,0x76,0xaf,0x55,0x11,0xa2,0xf3,0x82,0x59,0xed,0x2d,0x7c,0x64,0x18,0xe2,0xf6,0x4c,0x3a,0x79,0x1c,0x3c,0xcd,0x1a,0x36,0xcf,0x3b,0xbc,0x35,0x5a,0xac,0xbc,0x9e,0x2f,0xab,0xa6,0xcd,0xa8,0xe9,0x60,0xe8,0x60,0x13,0x1a,0xea,0x6d,0x9b,0xc3,0x5d,0x05,0xb6,0x5b,0x8d,0xc2,0x7c,0x22,0x19,0xb1,0xab,0xff,0x4d,0x77,0xbc,0x4e,0xe2,0x07,0x89,0x2c,0xa3,0xe4,0xce,0x78,0x3c,0xa8,0xb6,0x24,0xaa,0x10,0x77,0x30,0x1a,0x12}, + {0x97,0x4a,0x03,0x9f,0x5e,0x5d,0xdb,0xe4,0x2d,0xbc,0x34,0x30,0x09,0xfc,0x53,0xe1,0xb1,0xd3,0x51,0x95,0x91,0x46,0x05,0x46,0x2d,0xe5,0x40,0x7a,0x6c,0xc7,0x3f,0x33,0xc9,0x83,0x74,0xc7,0x3e,0x71,0x59,0xd6,0xaf,0x96,0x2b,0xb8,0x77,0xe0,0xbf,0x88,0xd3,0xbc,0x97,0x10,0x23,0x28,0x9e,0x28,0x9b,0x3a,0xed,0x6c,0x4a,0xb9,0x7b,0x52,0x2e,0x48,0x5b,0x99,0x2a,0x99,0x3d,0x56,0x01,0x38,0x38,0x6e,0x7c,0xd0,0x05,0x34,0xe5,0xd8,0x64,0x2f,0xde,0x35,0x50,0x48,0xf7,0xa9,0xa7,0x20,0x9b,0x06,0x89,0x6b}, + {0x0d,0x22,0x70,0x62,0x41,0xa0,0x2a,0x81,0x4e,0x5b,0x24,0xf9,0xfa,0x89,0x5a,0x99,0x05,0xef,0x72,0x50,0xce,0xc4,0xad,0xff,0x73,0xeb,0x73,0xaa,0x03,0x21,0xbc,0x23,0x77,0xdb,0xc7,0xb5,0x8c,0xfa,0x82,0x40,0x55,0xc1,0x34,0xc7,0xf8,0x86,0x86,0x06,0x7e,0xa5,0xe7,0xf6,0xd9,0xc8,0xe6,0x29,0xcf,0x9b,0x63,0xa7,0x08,0xd3,0x73,0x04,0x05,0x9e,0x58,0x03,0x26,0x79,0xee,0xca,0x92,0xc4,0xdc,0x46,0x12,0x42,0x4b,0x2b,0x4f,0xa9,0x01,0xe6,0x74,0xef,0xa1,0x02,0x1a,0x34,0x04,0xde,0xbf,0x73,0x2f,0x10}, + {0xc6,0x45,0x57,0x7f,0xab,0xb9,0x18,0xeb,0x90,0xc6,0x87,0x57,0xee,0x8a,0x3a,0x02,0xa9,0xaf,0xf7,0x2d,0xda,0x12,0x27,0xb7,0x3d,0x01,0x5c,0xea,0x25,0x7d,0x59,0x36,0x9a,0x1c,0x51,0xb5,0xe0,0xda,0xb4,0xa2,0x06,0xff,0xff,0x2b,0x29,0x60,0xc8,0x7a,0x34,0x42,0x50,0xf5,0x5d,0x37,0x1f,0x98,0x2d,0xa1,0x4e,0xda,0x25,0xd7,0x6b,0x3f,0xac,0x58,0x60,0x10,0x7b,0x8d,0x4d,0x73,0x5f,0x90,0xc6,0x6f,0x9e,0x57,0x40,0xd9,0x2d,0x93,0x02,0x92,0xf9,0xf8,0x66,0x64,0xd0,0xd6,0x60,0xda,0x19,0xcc,0x7e,0x7b}, + {0x0d,0x69,0x5c,0x69,0x3c,0x37,0xc2,0x78,0x6e,0x90,0x42,0x06,0x66,0x2e,0x25,0xdd,0xd2,0x2b,0xe1,0x4a,0x44,0x44,0x1d,0x95,0x56,0x39,0x74,0x01,0x76,0xad,0x35,0x42,0x9b,0xfa,0x7c,0xa7,0x51,0x4a,0xae,0x6d,0x50,0x86,0xa3,0xe7,0x54,0x36,0x26,0x82,0xdb,0x82,0x2d,0x8f,0xcd,0xff,0xbb,0x09,0xba,0xca,0xf5,0x1b,0x66,0xdc,0xbe,0x03,0xf5,0x75,0x89,0x07,0x0d,0xcb,0x58,0x62,0x98,0xf2,0x89,0x91,0x54,0x42,0x29,0x49,0xe4,0x6e,0xe3,0xe2,0x23,0xb4,0xca,0xa0,0xa1,0x66,0xf0,0xcd,0xb0,0xe2,0x7c,0x0e}, + {0xa3,0x85,0x8c,0xc4,0x3a,0x64,0x94,0xc4,0xad,0x39,0x61,0x3c,0xf4,0x1d,0x36,0xfd,0x48,0x4d,0xe9,0x3a,0xdd,0x17,0xdb,0x09,0x4a,0x67,0xb4,0x8f,0x5d,0x0a,0x6e,0x66,0xf9,0x70,0x4b,0xd9,0xdf,0xfe,0xa6,0xfe,0x2d,0xba,0xfc,0xc1,0x51,0xc0,0x30,0xf1,0x89,0xab,0x2f,0x7f,0x7e,0xd4,0x82,0x48,0xb5,0xee,0xec,0x8a,0x13,0x56,0x52,0x61,0x0d,0xcb,0x70,0x48,0x4e,0xf6,0xbb,0x2a,0x6b,0x8b,0x45,0xaa,0xf0,0xbc,0x65,0xcd,0x5d,0x98,0xe8,0x75,0xba,0x4e,0xbe,0x9a,0xe4,0xde,0x14,0xd5,0x10,0xc8,0x0b,0x7f}, + {0x6f,0x13,0xf4,0x26,0xa4,0x6b,0x00,0xb9,0x35,0x30,0xe0,0x57,0x9e,0x36,0x67,0x8d,0x28,0x3c,0x46,0x4f,0xd9,0xdf,0xc8,0xcb,0xf5,0xdb,0xee,0xf8,0xbc,0x8d,0x1f,0x0d,0xa0,0x13,0x72,0x73,0xad,0x9d,0xac,0x83,0x98,0x2e,0xf7,0x2e,0xba,0xf8,0xf6,0x9f,0x57,0x69,0xec,0x43,0xdd,0x2e,0x1e,0x31,0x75,0xab,0xc5,0xde,0x7d,0x90,0x3a,0x1d,0xdc,0x81,0xd0,0x3e,0x31,0x93,0x16,0xba,0x80,0x34,0x1b,0x85,0xad,0x9f,0x32,0x29,0xcb,0x21,0x03,0x03,0x3c,0x01,0x28,0x01,0xe3,0xfd,0x1b,0xa3,0x44,0x1b,0x01,0x00}, + {0x0c,0x6c,0xc6,0x3f,0x6c,0xa0,0xdf,0x3f,0xd2,0x0d,0xd6,0x4d,0x8e,0xe3,0x40,0x5d,0x71,0x4d,0x8e,0x26,0x38,0x8b,0xe3,0x7a,0xe1,0x57,0x83,0x6e,0x91,0x8d,0xc4,0x3a,0x5c,0xa7,0x0a,0x6a,0x69,0x1f,0x56,0x16,0x6a,0xbd,0x52,0x58,0x5c,0x72,0xbf,0xc1,0xad,0x66,0x79,0x9a,0x7f,0xdd,0xa8,0x11,0x26,0x10,0x85,0xd2,0xa2,0x88,0xd9,0x63,0x2e,0x23,0xbd,0xaf,0x53,0x07,0x12,0x00,0x83,0xf6,0xd8,0xfd,0xb8,0xce,0x2b,0xe9,0x91,0x2b,0xe7,0x84,0xb3,0x69,0x16,0xf8,0x66,0xa0,0x68,0x23,0x2b,0xd5,0xfa,0x33}, + {0x16,0x1e,0xe4,0xc5,0xc6,0x49,0x06,0x54,0x35,0x77,0x3f,0x33,0x30,0x64,0xf8,0x0a,0x46,0xe7,0x05,0xf3,0xd2,0xfc,0xac,0xb2,0xa7,0xdc,0x56,0xa2,0x29,0xf4,0xc0,0x16,0xe8,0xcf,0x22,0xc4,0xd0,0xc8,0x2c,0x8d,0xcb,0x3a,0xa1,0x05,0x7b,0x4f,0x2b,0x07,0x6f,0xa5,0xf6,0xec,0xe6,0xb6,0xfe,0xa3,0xe2,0x71,0x0a,0xb9,0xcc,0x55,0xc3,0x3c,0x31,0x91,0x3e,0x90,0x43,0x94,0xb6,0xe9,0xce,0x37,0x56,0x7a,0xcb,0x94,0xa4,0xb8,0x44,0x92,0xba,0xba,0xa4,0xd1,0x7c,0xc8,0x68,0x75,0xae,0x6b,0x42,0xaf,0x1e,0x63}, + {0x9f,0xfe,0x66,0xda,0x10,0x04,0xe9,0xb3,0xa6,0xe5,0x16,0x6c,0x52,0x4b,0xdd,0x85,0x83,0xbf,0xf9,0x1e,0x61,0x97,0x3d,0xbc,0xb5,0x19,0xa9,0x1e,0x8b,0x64,0x99,0x55,0xe8,0x0d,0x70,0xa3,0xb9,0x75,0xd9,0x47,0x52,0x05,0xf8,0xe2,0xfb,0xc5,0x80,0x72,0xe1,0x5d,0xe4,0x32,0x27,0x8f,0x65,0x53,0xb5,0x80,0x5f,0x66,0x7f,0x2c,0x1f,0x43,0x19,0x7b,0x8f,0x85,0x44,0x63,0x02,0xd6,0x4a,0x51,0xea,0xa1,0x2f,0x35,0xab,0x14,0xd7,0xa9,0x90,0x20,0x1a,0x44,0x00,0x89,0x26,0x3b,0x25,0x91,0x5f,0x71,0x04,0x7b}, + {0x43,0xae,0xf6,0xac,0x28,0xbd,0xed,0x83,0xb4,0x7a,0x5c,0x7d,0x8b,0x7c,0x35,0x86,0x44,0x2c,0xeb,0xb7,0x69,0x47,0x40,0xc0,0x3f,0x58,0xf6,0xc2,0xf5,0x7b,0xb3,0x59,0xc6,0xba,0xe6,0xc4,0x80,0xc2,0x76,0xb3,0x0b,0x9b,0x1d,0x6d,0xdd,0xd3,0x0e,0x97,0x44,0xf9,0x0b,0x45,0x58,0x95,0x9a,0xb0,0x23,0xe2,0xcd,0x57,0xfa,0xac,0xd0,0x48,0x71,0xe6,0xab,0x7d,0xe4,0x26,0x0f,0xb6,0x37,0x3a,0x2f,0x62,0x97,0xa1,0xd1,0xf1,0x94,0x03,0x96,0xe9,0x7e,0xce,0x08,0x42,0xdb,0x3b,0x6d,0x33,0x91,0x41,0x23,0x16}, + {0xf6,0x7f,0x26,0xf6,0xde,0x99,0xe4,0xb9,0x43,0x08,0x2c,0x74,0x7b,0xca,0x72,0x77,0xb1,0xf2,0xa4,0xe9,0x3f,0x15,0xa0,0x23,0x06,0x50,0xd0,0xd5,0xec,0xdf,0xdf,0x2c,0x40,0x86,0xf3,0x1f,0xd6,0x9c,0x49,0xdd,0xa0,0x25,0x36,0x06,0xc3,0x9b,0xcd,0x29,0xc3,0x3d,0xd7,0x3d,0x02,0xd8,0xe2,0x51,0x31,0x92,0x3b,0x20,0x7a,0x70,0x25,0x4a,0x6a,0xed,0xf6,0x53,0x8a,0x66,0xb7,0x2a,0xa1,0x70,0xd1,0x1d,0x58,0x42,0x42,0x30,0x61,0x01,0xe2,0x3a,0x4c,0x14,0x00,0x40,0xfc,0x49,0x8e,0x24,0x6d,0x89,0x21,0x57}, + {0xae,0x1b,0x18,0xfd,0x17,0x55,0x6e,0x0b,0xb4,0x63,0xb9,0x2b,0x9f,0x62,0x22,0x90,0x25,0x46,0x06,0x32,0xe9,0xbc,0x09,0x55,0xda,0x13,0x3c,0xf6,0x74,0xdd,0x8e,0x57,0x4e,0xda,0xd0,0xa1,0x91,0x50,0x5d,0x28,0x08,0x3e,0xfe,0xb5,0xa7,0x6f,0xaa,0x4b,0xb3,0x93,0x93,0xe1,0x7c,0x17,0xe5,0x63,0xfd,0x30,0xb0,0xc4,0xaf,0x35,0xc9,0x03,0x3d,0x0c,0x2b,0x49,0xc6,0x76,0x72,0x99,0xfc,0x05,0xe2,0xdf,0xc4,0xc2,0xcc,0x47,0x3c,0x3a,0x62,0xdd,0x84,0x9b,0xd2,0xdc,0xa2,0xc7,0x88,0x02,0x59,0xab,0xc2,0x3e}, + {0xb9,0x7b,0xd8,0xe4,0x7b,0xd2,0xa0,0xa1,0xed,0x1a,0x39,0x61,0xeb,0x4d,0x8b,0xa9,0x83,0x9b,0xcb,0x73,0xd0,0xdd,0xa0,0x99,0xce,0xca,0x0f,0x20,0x5a,0xc2,0xd5,0x2d,0xcb,0xd1,0x32,0xae,0x09,0x3a,0x21,0xa7,0xd5,0xc2,0xf5,0x40,0xdf,0x87,0x2b,0x0f,0x29,0xab,0x1e,0xe8,0xc6,0xa4,0xae,0x0b,0x5e,0xac,0xdb,0x6a,0x6c,0xf6,0x1b,0x0e,0x7e,0x88,0x2c,0x79,0xe9,0xd5,0xab,0xe2,0x5d,0x6d,0x92,0xcb,0x18,0x00,0x02,0x1a,0x1e,0x5f,0xae,0xba,0xcd,0x69,0xba,0xbf,0x5f,0x8f,0xe8,0x5a,0xb3,0x48,0x05,0x73}, + {0xee,0xb8,0xa8,0xcb,0xa3,0x51,0x35,0xc4,0x16,0x5f,0x11,0xb2,0x1d,0x6f,0xa2,0x65,0x50,0x38,0x8c,0xab,0x52,0x4f,0x0f,0x76,0xca,0xb8,0x1d,0x41,0x3b,0x44,0x43,0x30,0x34,0xe3,0xd6,0xa1,0x4b,0x09,0x5b,0x80,0x19,0x3f,0x35,0x09,0x77,0xf1,0x3e,0xbf,0x2b,0x70,0x22,0x06,0xcb,0x06,0x3f,0x42,0xdd,0x45,0x78,0xd8,0x77,0x22,0x5a,0x58,0x62,0x89,0xd4,0x33,0x82,0x5f,0x8a,0xa1,0x7f,0x25,0x78,0xec,0xb5,0xc4,0x98,0x66,0xff,0x41,0x3e,0x37,0xa5,0x6f,0x8e,0xa7,0x1f,0x98,0xef,0x50,0x89,0x27,0x56,0x76}, + {0xc0,0xc8,0x1f,0xd5,0x59,0xcf,0xc3,0x38,0xf2,0xb6,0x06,0x05,0xfd,0xd2,0xed,0x9b,0x8f,0x0e,0x57,0xab,0x9f,0x10,0xbf,0x26,0xa6,0x46,0xb8,0xc1,0xa8,0x60,0x41,0x3f,0x9d,0xcf,0x86,0xea,0xa3,0x73,0x70,0xe1,0xdc,0x5f,0x15,0x07,0xb7,0xfb,0x8c,0x3a,0x8e,0x8a,0x83,0x31,0xfc,0xe7,0x53,0x48,0x16,0xf6,0x13,0xb6,0x84,0xf4,0xbb,0x28,0x7c,0x6c,0x13,0x6f,0x5c,0x2f,0x61,0xf2,0xbe,0x11,0xdd,0xf6,0x07,0xd1,0xea,0xaf,0x33,0x6f,0xde,0x13,0xd2,0x9a,0x7e,0x52,0x5d,0xf7,0x88,0x81,0x35,0xcb,0x79,0x1e}, + {0xf1,0xe3,0xf7,0xee,0xc3,0x36,0x34,0x01,0xf8,0x10,0x9e,0xfe,0x7f,0x6a,0x8b,0x82,0xfc,0xde,0xf9,0xbc,0xe5,0x08,0xf9,0x7f,0x31,0x38,0x3b,0x3a,0x1b,0x95,0xd7,0x65,0x81,0x81,0xe0,0xf5,0xd8,0x53,0xe9,0x77,0xd9,0xde,0x9d,0x29,0x44,0x0c,0xa5,0x84,0xe5,0x25,0x45,0x86,0x0c,0x2d,0x6c,0xdc,0xf4,0xf2,0xd1,0x39,0x2d,0xb5,0x8a,0x47,0x59,0xd1,0x52,0x92,0xd3,0xa4,0xa6,0x66,0x07,0xc8,0x1a,0x87,0xbc,0xe1,0xdd,0xe5,0x6f,0xc9,0xc1,0xa6,0x40,0x6b,0x2c,0xb8,0x14,0x22,0x21,0x1a,0x41,0x7a,0xd8,0x16}, + {0x15,0x62,0x06,0x42,0x5a,0x7e,0xbd,0xb3,0xc1,0x24,0x5a,0x0c,0xcd,0xe3,0x9b,0x87,0xb7,0x94,0xf9,0xd6,0xb1,0x5d,0xc0,0x57,0xa6,0x8c,0xf3,0x65,0x81,0x7c,0xf8,0x28,0x83,0x05,0x4e,0xd5,0xe2,0xd5,0xa4,0xfb,0xfa,0x99,0xbd,0x2e,0xd7,0xaf,0x1f,0xe2,0x8f,0x77,0xe9,0x6e,0x73,0xc2,0x7a,0x49,0xde,0x6d,0x5a,0x7a,0x57,0x0b,0x99,0x1f,0xd6,0xf7,0xe8,0x1b,0xad,0x4e,0x34,0xa3,0x8f,0x79,0xea,0xac,0xeb,0x50,0x1e,0x7d,0x52,0xe0,0x0d,0x52,0x9e,0x56,0xc6,0x77,0x3e,0x6d,0x4d,0x53,0xe1,0x2f,0x88,0x45}, + {0xd6,0x83,0x79,0x75,0x5d,0x34,0x69,0x66,0xa6,0x11,0xaa,0x17,0x11,0xed,0xb6,0x62,0x8f,0x12,0x5e,0x98,0x57,0x18,0xdd,0x7d,0xdd,0xf6,0x26,0xf6,0xb8,0xe5,0x8f,0x68,0xe4,0x6f,0x3c,0x94,0x29,0x99,0xac,0xd8,0xa2,0x92,0x83,0xa3,0x61,0xf1,0xf9,0xb5,0xf3,0x9a,0xc8,0xbe,0x13,0xdb,0x99,0x26,0x74,0xf0,0x05,0xe4,0x3c,0x84,0xcf,0x7d,0xc0,0x32,0x47,0x4a,0x48,0xd6,0x90,0x6c,0x99,0x32,0x56,0xca,0xfd,0x43,0x21,0xd5,0xe1,0xc6,0x5d,0x91,0xc3,0x28,0xbe,0xb3,0x1b,0x19,0x27,0x73,0x7e,0x68,0x39,0x67}, + {0xa6,0x75,0x56,0x38,0x14,0x20,0x78,0xef,0xe8,0xa9,0xfd,0xaa,0x30,0x9f,0x64,0xa2,0xcb,0xa8,0xdf,0x5c,0x50,0xeb,0xd1,0x4c,0xb3,0xc0,0x4d,0x1d,0xba,0x5a,0x11,0x46,0xc0,0x1a,0x0c,0xc8,0x9d,0xcc,0x6d,0xa6,0x36,0xa4,0x38,0x1b,0xf4,0x5c,0xa0,0x97,0xc6,0xd7,0xdb,0x95,0xbe,0xf3,0xeb,0xa7,0xab,0x7d,0x7e,0x8d,0xf6,0xb8,0xa0,0x7d,0x76,0xda,0xb5,0xc3,0x53,0x19,0x0f,0xd4,0x9b,0x9e,0x11,0x21,0x73,0x6f,0xac,0x1d,0x60,0x59,0xb2,0xfe,0x21,0x60,0xcc,0x03,0x4b,0x4b,0x67,0x83,0x7e,0x88,0x5f,0x5a}, + {0x11,0x3d,0xa1,0x70,0xcf,0x01,0x63,0x8f,0xc4,0xd0,0x0d,0x35,0x15,0xb8,0xce,0xcf,0x7e,0xa4,0xbc,0xa4,0xd4,0x97,0x02,0xf7,0x34,0x14,0x4d,0xe4,0x56,0xb6,0x69,0x36,0xb9,0x43,0xa6,0xa0,0xd3,0x28,0x96,0x9e,0x64,0x20,0xc3,0xe6,0x00,0xcb,0xc3,0xb5,0x32,0xec,0x2d,0x7c,0x89,0x02,0x53,0x9b,0x0c,0xc7,0xd1,0xd5,0xe2,0x7a,0xe3,0x43,0x33,0xe1,0xa6,0xed,0x06,0x3f,0x7e,0x38,0xc0,0x3a,0xa1,0x99,0x51,0x1d,0x30,0x67,0x11,0x38,0x26,0x36,0xf8,0xd8,0x5a,0xbd,0xbe,0xe9,0xd5,0x4f,0xcd,0xe6,0x21,0x6a}, + {0x5f,0xe6,0x46,0x30,0x0a,0x17,0xc6,0xf1,0x24,0x35,0xd2,0x00,0x2a,0x2a,0x71,0x58,0x55,0xb7,0x82,0x8c,0x3c,0xbd,0xdb,0x69,0x57,0xff,0x95,0xa1,0xf1,0xf9,0x6b,0x58,0xe3,0xb2,0x99,0x66,0x12,0x29,0x41,0xef,0x01,0x13,0x8d,0x70,0x47,0x08,0xd3,0x71,0xbd,0xb0,0x82,0x11,0xd0,0x32,0x54,0x32,0x36,0x8b,0x1e,0x00,0x07,0x1b,0x37,0x45,0x0b,0x79,0xf8,0x5e,0x8d,0x08,0xdb,0xa6,0xe5,0x37,0x09,0x61,0xdc,0xf0,0x78,0x52,0xb8,0x6e,0xa1,0x61,0xd2,0x49,0x03,0xac,0x79,0x21,0xe5,0x90,0x37,0xb0,0xaf,0x0e}, + {0x2f,0x04,0x48,0x37,0xc1,0x55,0x05,0x96,0x11,0xaa,0x0b,0x82,0xe6,0x41,0x9a,0x21,0x0c,0x6d,0x48,0x73,0x38,0xf7,0x81,0x1c,0x61,0xc6,0x02,0x5a,0x67,0xcc,0x9a,0x30,0x1d,0xae,0x75,0x0f,0x5e,0x80,0x40,0x51,0x30,0xcc,0x62,0x26,0xe3,0xfb,0x02,0xec,0x6d,0x39,0x92,0xea,0x1e,0xdf,0xeb,0x2c,0xb3,0x5b,0x43,0xc5,0x44,0x33,0xae,0x44,0xee,0x43,0xa5,0xbb,0xb9,0x89,0xf2,0x9c,0x42,0x71,0xc9,0x5a,0x9d,0x0e,0x76,0xf3,0xaa,0x60,0x93,0x4f,0xc6,0xe5,0x82,0x1d,0x8f,0x67,0x94,0x7f,0x1b,0x22,0xd5,0x62}, + {0x6d,0x93,0xd0,0x18,0x9c,0x29,0x4c,0x52,0x0c,0x1a,0x0c,0x8a,0x6c,0xb5,0x6b,0xc8,0x31,0x86,0x4a,0xdb,0x2e,0x05,0x75,0xa3,0x62,0x45,0x75,0xbc,0xe4,0xfd,0x0e,0x5c,0x3c,0x7a,0xf7,0x3a,0x26,0xd4,0x85,0x75,0x4d,0x14,0xe9,0xfe,0x11,0x7b,0xae,0xdf,0x3d,0x19,0xf7,0x59,0x80,0x70,0x06,0xa5,0x37,0x20,0x92,0x83,0x53,0x9a,0xf2,0x14,0xf5,0xd7,0xb2,0x25,0xdc,0x7e,0x71,0xdf,0x40,0x30,0xb5,0x99,0xdb,0x70,0xf9,0x21,0x62,0x4c,0xed,0xc3,0xb7,0x34,0x92,0xda,0x3e,0x09,0xee,0x7b,0x5c,0x36,0x72,0x5e}, + {0x7f,0x21,0x71,0x45,0x07,0xfc,0x5b,0x57,0x5b,0xd9,0x94,0x06,0x5d,0x67,0x79,0x37,0x33,0x1e,0x19,0xf4,0xbb,0x37,0x0a,0x9a,0xbc,0xea,0xb4,0x47,0x4c,0x10,0xf1,0x77,0x3e,0xb3,0x08,0x2f,0x06,0x39,0x93,0x7d,0xbe,0x32,0x9f,0xdf,0xe5,0x59,0x96,0x5b,0xfd,0xbd,0x9e,0x1f,0xad,0x3d,0xff,0xac,0xb7,0x49,0x73,0xcb,0x55,0x05,0xb2,0x70,0x4c,0x2c,0x11,0x55,0xc5,0x13,0x51,0xbe,0xcd,0x1f,0x88,0x9a,0x3a,0x42,0x88,0x66,0x47,0x3b,0x50,0x5e,0x85,0x77,0x66,0x44,0x4a,0x40,0x06,0x4a,0x8f,0x39,0x34,0x0e}, + {0xe8,0xbd,0xce,0x3e,0xd9,0x22,0x7d,0xb6,0x07,0x2f,0x82,0x27,0x41,0xe8,0xb3,0x09,0x8d,0x6d,0x5b,0xb0,0x1f,0xa6,0x3f,0x74,0x72,0x23,0x36,0x8a,0x36,0x05,0x54,0x5e,0x28,0x19,0x4b,0x3e,0x09,0x0b,0x93,0x18,0x40,0xf6,0xf3,0x73,0x0e,0xe1,0xe3,0x7d,0x6f,0x5d,0x39,0x73,0xda,0x17,0x32,0xf4,0x3e,0x9c,0x37,0xca,0xd6,0xde,0x8a,0x6f,0x9a,0xb2,0xb7,0xfd,0x3d,0x12,0x40,0xe3,0x91,0xb2,0x1a,0xa2,0xe1,0x97,0x7b,0x48,0x9e,0x94,0xe6,0xfd,0x02,0x7d,0x96,0xf9,0x97,0xde,0xd3,0xc8,0x2e,0xe7,0x0d,0x78}, + {0xbc,0xe7,0x9a,0x08,0x45,0x85,0xe2,0x0a,0x06,0x4d,0x7f,0x1c,0xcf,0xde,0x8d,0x38,0xb8,0x11,0x48,0x0a,0x51,0x15,0xac,0x38,0xe4,0x8c,0x92,0x71,0xf6,0x8b,0xb2,0x0e,0x72,0x27,0xf4,0x00,0xf3,0xea,0x1f,0x67,0xaa,0x41,0x8c,0x2a,0x2a,0xeb,0x72,0x8f,0x92,0x32,0x37,0x97,0xd7,0x7f,0xa1,0x29,0xa6,0x87,0xb5,0x32,0xad,0xc6,0xef,0x1d,0xa7,0x95,0x51,0xef,0x1a,0xbe,0x5b,0xaf,0xed,0x15,0x7b,0x91,0x77,0x12,0x8c,0x14,0x2e,0xda,0xe5,0x7a,0xfb,0xf7,0x91,0x29,0x67,0x28,0xdd,0xf8,0x1b,0x20,0x7d,0x46}, + {0xad,0x4f,0xef,0x74,0x9a,0x91,0xfe,0x95,0xa2,0x08,0xa3,0xf6,0xec,0x7b,0x82,0x3a,0x01,0x7b,0xa4,0x09,0xd3,0x01,0x4e,0x96,0x97,0xc7,0xa3,0x5b,0x4f,0x3c,0xc4,0x71,0xa9,0xe7,0x7a,0x56,0xbd,0xf4,0x1e,0xbc,0xbd,0x98,0x44,0xd6,0xb2,0x4c,0x62,0x3f,0xc8,0x4e,0x1f,0x2c,0xd2,0x64,0x10,0xe4,0x01,0x40,0x38,0xba,0xa5,0xc5,0xf9,0x2e,0xcd,0x74,0x9e,0xfa,0xf6,0x6d,0xfd,0xb6,0x7a,0x26,0xaf,0xe4,0xbc,0x78,0x82,0xf1,0x0e,0x99,0xef,0xf1,0xd0,0xb3,0x55,0x82,0x93,0xf2,0xc5,0x90,0xa3,0x8c,0x75,0x5a}, + {0x95,0x24,0x46,0xd9,0x10,0x27,0xb7,0xa2,0x03,0x50,0x7d,0xd5,0xd2,0xc6,0xa8,0x3a,0xca,0x87,0xb4,0xa0,0xbf,0x00,0xd4,0xe3,0xec,0x72,0xeb,0xb3,0x44,0xe2,0xba,0x2d,0x94,0xdc,0x61,0x1d,0x8b,0x91,0xe0,0x8c,0x66,0x30,0x81,0x9a,0x46,0x36,0xed,0x8d,0xd3,0xaa,0xe8,0xaf,0x29,0xa8,0xe6,0xd4,0x3f,0xd4,0x39,0xf6,0x27,0x80,0x73,0x0a,0xcc,0xe1,0xff,0x57,0x2f,0x4a,0x0f,0x98,0x43,0x98,0x83,0xe1,0x0d,0x0d,0x67,0x00,0xfd,0x15,0xfb,0x49,0x4a,0x3f,0x5c,0x10,0x9c,0xa6,0x26,0x51,0x63,0xca,0x98,0x26}, + {0x78,0xba,0xb0,0x32,0x88,0x31,0x65,0xe7,0x8b,0xff,0x5c,0x92,0xf7,0x31,0x18,0x38,0xcc,0x1f,0x29,0xa0,0x91,0x1b,0xa8,0x08,0x07,0xeb,0xca,0x49,0xcc,0x3d,0xb4,0x1f,0x0e,0xd9,0x3d,0x5e,0x2f,0x70,0x3d,0x2e,0x86,0x53,0xd2,0xe4,0x18,0x09,0x3f,0x9e,0x6a,0xa9,0x4d,0x02,0xf6,0x3e,0x77,0x5e,0x32,0x33,0xfa,0x4a,0x0c,0x4b,0x00,0x3c,0x2b,0xb8,0xf4,0x06,0xac,0x46,0xa9,0x9a,0xf3,0xc4,0x06,0xa8,0xa5,0x84,0xa2,0x1c,0x87,0x47,0xcd,0xc6,0x5f,0x26,0xd3,0x3e,0x17,0xd2,0x1f,0xcd,0x01,0xfd,0x43,0x6b}, + {0x44,0xc5,0x97,0x46,0x4b,0x5d,0xa7,0xc7,0xbf,0xff,0x0f,0xdf,0x48,0xf8,0xfd,0x15,0x5a,0x78,0x46,0xaa,0xeb,0xb9,0x68,0x28,0x14,0xf7,0x52,0x5b,0x10,0xd7,0x68,0x5a,0xf3,0x0e,0x76,0x3e,0x58,0x42,0xc7,0xb5,0x90,0xb9,0x0a,0xee,0xb9,0x52,0xdc,0x75,0x3f,0x92,0x2b,0x07,0xc2,0x27,0x14,0xbf,0xf0,0xd9,0xf0,0x6f,0x2d,0x0b,0x42,0x73,0x06,0x1e,0x85,0x9e,0xcb,0xf6,0x2c,0xaf,0xc4,0x38,0x22,0xc6,0x13,0x39,0x59,0x8f,0x73,0xf3,0xfb,0x99,0x96,0xb8,0x8a,0xda,0x9e,0xbc,0x34,0xea,0x2f,0x63,0xb5,0x3d}, + {0xd8,0xd9,0x5d,0xf7,0x2b,0xee,0x6e,0xf4,0xa5,0x59,0x67,0x39,0xf6,0xb1,0x17,0x0d,0x73,0x72,0x9e,0x49,0x31,0xd1,0xf2,0x1b,0x13,0x5f,0xd7,0x49,0xdf,0x1a,0x32,0x04,0xd5,0x25,0x98,0x82,0xb1,0x90,0x49,0x2e,0x91,0x89,0x9a,0x3e,0x87,0xeb,0xea,0xed,0xf8,0x4a,0x70,0x4c,0x39,0x3d,0xf0,0xee,0x0e,0x2b,0xdf,0x95,0xa4,0x7e,0x19,0x59,0xae,0x5a,0xe5,0xe4,0x19,0x60,0xe1,0x04,0xe9,0x92,0x2f,0x7e,0x7a,0x43,0x7b,0xe7,0xa4,0x9a,0x15,0x6f,0xc1,0x2d,0xce,0xc7,0xc0,0x0c,0xd7,0xf4,0xc1,0xfd,0xea,0x45}, + {0x2b,0xd7,0x45,0x80,0x85,0x01,0x84,0x69,0x51,0x06,0x2f,0xcf,0xa2,0xfa,0x22,0x4c,0xc6,0x2d,0x22,0x6b,0x65,0x36,0x1a,0x94,0xde,0xda,0x62,0x03,0xc8,0xeb,0x5e,0x5a,0xed,0xb1,0xcc,0xcf,0x24,0x46,0x0e,0xb6,0x95,0x03,0x5c,0xbd,0x92,0xc2,0xdb,0x59,0xc9,0x81,0x04,0xdc,0x1d,0x9d,0xa0,0x31,0x40,0xd9,0x56,0x5d,0xea,0xce,0x73,0x3f,0xc6,0x8d,0x4e,0x0a,0xd1,0xbf,0xa7,0xb7,0x39,0xb3,0xc9,0x44,0x7e,0x00,0x57,0xbe,0xfa,0xae,0x57,0x15,0x7f,0x20,0xc1,0x60,0xdb,0x18,0x62,0x26,0x91,0x88,0x05,0x26}, + {0x04,0xff,0x60,0x83,0xa6,0x04,0xf7,0x59,0xf4,0xe6,0x61,0x76,0xde,0x3f,0xd9,0xc3,0x51,0x35,0x87,0x12,0x73,0x2a,0x1b,0x83,0x57,0x5d,0x61,0x4e,0x2e,0x0c,0xad,0x54,0x42,0xe5,0x76,0xc6,0x3c,0x8e,0x81,0x4c,0xad,0xcc,0xce,0x03,0x93,0x2c,0x42,0x5e,0x08,0x9f,0x12,0xb4,0xca,0xcc,0x07,0xec,0xb8,0x43,0x44,0xb2,0x10,0xfa,0xed,0x0d,0x2a,0x52,0x2b,0xb8,0xd5,0x67,0x3b,0xee,0xeb,0xc1,0xa5,0x9f,0x46,0x63,0xf1,0x36,0xd3,0x9f,0xc1,0x6e,0xf2,0xd2,0xb4,0xa5,0x08,0x94,0x7a,0xa7,0xba,0xb2,0xec,0x62}, + {0x3d,0x2b,0x15,0x61,0x52,0x79,0xed,0xe5,0xd1,0xd7,0xdd,0x0e,0x7d,0x35,0x62,0x49,0x71,0x4c,0x6b,0xb9,0xd0,0xc8,0x82,0x74,0xbe,0xd8,0x66,0xa9,0x19,0xf9,0x59,0x2e,0x74,0x28,0xb6,0xaf,0x36,0x28,0x07,0x92,0xa5,0x04,0xe1,0x79,0x85,0x5e,0xcd,0x5f,0x4a,0xa1,0x30,0xc6,0xad,0x01,0xad,0x5a,0x98,0x3f,0x66,0x75,0x50,0x3d,0x91,0x61,0xda,0x31,0x32,0x1a,0x36,0x2d,0xc6,0x0d,0x70,0x02,0x20,0x94,0x32,0x58,0x47,0xfa,0xce,0x94,0x95,0x3f,0x51,0x01,0xd8,0x02,0x5c,0x5d,0xc0,0x31,0xa1,0xc2,0xdb,0x3d}, + {0x4b,0xc5,0x5e,0xce,0xf9,0x0f,0xdc,0x9a,0x0d,0x13,0x2f,0x8c,0x6b,0x2a,0x9c,0x03,0x15,0x95,0xf8,0xf0,0xc7,0x07,0x80,0x02,0x6b,0xb3,0x04,0xac,0x14,0x83,0x96,0x78,0x14,0xbb,0x96,0x27,0xa2,0x57,0xaa,0xf3,0x21,0xda,0x07,0x9b,0xb7,0xba,0x3a,0x88,0x1c,0x39,0xa0,0x31,0x18,0xe2,0x4b,0xe5,0xf9,0x05,0x32,0xd8,0x38,0xfb,0xe7,0x5e,0x8e,0x6a,0x44,0x41,0xcb,0xfd,0x8d,0x53,0xf9,0x37,0x49,0x43,0xa9,0xfd,0xac,0xa5,0x78,0x8c,0x3c,0x26,0x8d,0x90,0xaf,0x46,0x09,0x0d,0xca,0x9b,0x3c,0x63,0xd0,0x61}, + {0x66,0x25,0xdb,0xff,0x35,0x49,0x74,0x63,0xbb,0x68,0x0b,0x78,0x89,0x6b,0xbd,0xc5,0x03,0xec,0x3e,0x55,0x80,0x32,0x1b,0x6f,0xf5,0xd7,0xae,0x47,0xd8,0x5f,0x96,0x6e,0xdf,0x73,0xfc,0xf8,0xbc,0x28,0xa3,0xad,0xfc,0x37,0xf0,0xa6,0x5d,0x69,0x84,0xee,0x09,0xa9,0xc2,0x38,0xdb,0xb4,0x7f,0x63,0xdc,0x7b,0x06,0xf8,0x2d,0xac,0x23,0x5b,0x7b,0x52,0x80,0xee,0x53,0xb9,0xd2,0x9a,0x8d,0x6d,0xde,0xfa,0xaa,0x19,0x8f,0xe8,0xcf,0x82,0x0e,0x15,0x04,0x17,0x71,0x0e,0xdc,0xde,0x95,0xdd,0xb9,0xbb,0xb9,0x79}, + {0xc2,0x26,0x31,0x6a,0x40,0x55,0xb3,0xeb,0x93,0xc3,0xc8,0x68,0xa8,0x83,0x63,0xd2,0x82,0x7a,0xb9,0xe5,0x29,0x64,0x0c,0x6c,0x47,0x21,0xfd,0xc9,0x58,0xf1,0x65,0x50,0x74,0x73,0x9f,0x8e,0xae,0x7d,0x99,0xd1,0x16,0x08,0xbb,0xcf,0xf8,0xa2,0x32,0xa0,0x0a,0x5f,0x44,0x6d,0x12,0xba,0x6c,0xcd,0x34,0xb8,0xcc,0x0a,0x46,0x11,0xa8,0x1b,0x54,0x99,0x42,0x0c,0xfb,0x69,0x81,0x70,0x67,0xcf,0x6e,0xd7,0xac,0x00,0x46,0xe1,0xba,0x45,0xe6,0x70,0x8a,0xb9,0xaa,0x2e,0xf2,0xfa,0xa4,0x58,0x9e,0xf3,0x81,0x39}, + {0x93,0x0a,0x23,0x59,0x75,0x8a,0xfb,0x18,0x5d,0xf4,0xe6,0x60,0x69,0x8f,0x16,0x1d,0xb5,0x3c,0xa9,0x14,0x45,0xa9,0x85,0x3a,0xfd,0xd0,0xac,0x05,0x37,0x08,0xdc,0x38,0xde,0x6f,0xe6,0x6d,0xa5,0xdf,0x45,0xc8,0x3a,0x48,0x40,0x2c,0x00,0xa5,0x52,0xe1,0x32,0xf6,0xb4,0xc7,0x63,0xe1,0xd2,0xe9,0x65,0x1b,0xbc,0xdc,0x2e,0x45,0xf4,0x30,0x40,0x97,0x75,0xc5,0x82,0x27,0x6d,0x85,0xcc,0xbe,0x9c,0xf9,0x69,0x45,0x13,0xfa,0x71,0x4e,0xea,0xc0,0x73,0xfc,0x44,0x88,0x69,0x24,0x3f,0x59,0x1a,0x9a,0x2d,0x63}, + {0xa6,0xcb,0x07,0xb8,0x15,0x6b,0xbb,0xf6,0xd7,0xf0,0x54,0xbc,0xdf,0xc7,0x23,0x18,0x0b,0x67,0x29,0x6e,0x03,0x97,0x1d,0xbb,0x57,0x4a,0xed,0x47,0x88,0xf4,0x24,0x0b,0xa7,0x84,0x0c,0xed,0x11,0xfd,0x09,0xbf,0x3a,0x69,0x9f,0x0d,0x81,0x71,0xf0,0x63,0x79,0x87,0xcf,0x57,0x2d,0x8c,0x90,0x21,0xa2,0x4b,0xf6,0x8a,0xf2,0x7d,0x5a,0x3a,0xc7,0xea,0x1b,0x51,0xbe,0xd4,0xda,0xdc,0xf2,0xcc,0x26,0xed,0x75,0x80,0x53,0xa4,0x65,0x9a,0x5f,0x00,0x9f,0xff,0x9c,0xe1,0x63,0x1f,0x48,0x75,0x44,0xf7,0xfc,0x34}, + {0xca,0x67,0x97,0x78,0x4c,0xe0,0x97,0xc1,0x7d,0x46,0xd9,0x38,0xcb,0x4d,0x71,0xb8,0xa8,0x5f,0xf9,0x83,0x82,0x88,0xde,0x55,0xf7,0x63,0xfa,0x4d,0x16,0xdc,0x3b,0x3d,0x98,0xaa,0xcf,0x78,0xab,0x1d,0xbb,0xa5,0xf2,0x72,0x0b,0x19,0x67,0xa2,0xed,0x5c,0x8e,0x60,0x92,0x0a,0x11,0xc9,0x09,0x93,0xb0,0x74,0xb3,0x2f,0x04,0xa3,0x19,0x01,0x7d,0x17,0xc2,0xe8,0x9c,0xd8,0xa2,0x67,0xc1,0xd0,0x95,0x68,0xf6,0xa5,0x9d,0x66,0xb0,0xa2,0x82,0xb2,0xe5,0x98,0x65,0xf5,0x73,0x0a,0xe2,0xed,0xf1,0x88,0xc0,0x56}, + {0x17,0x6e,0xa8,0x10,0x11,0x3d,0x6d,0x33,0xfa,0xb2,0x75,0x0b,0x32,0x88,0xf3,0xd7,0x88,0x29,0x07,0x25,0x76,0x33,0x15,0xf9,0x87,0x8b,0x10,0x99,0x6b,0x4c,0x67,0x09,0x02,0x8f,0xf3,0x24,0xac,0x5f,0x1b,0x58,0xbd,0x0c,0xe3,0xba,0xfe,0xe9,0x0b,0xa9,0xf0,0x92,0xcf,0x8a,0x02,0x69,0x21,0x9a,0x8f,0x03,0x59,0x83,0xa4,0x7e,0x8b,0x03,0xf8,0x6f,0x31,0x99,0x21,0xf8,0x4e,0x9f,0x4f,0x8d,0xa7,0xea,0x82,0xd2,0x49,0x2f,0x74,0x31,0xef,0x5a,0xab,0xa5,0x71,0x09,0x65,0xeb,0x69,0x59,0x02,0x31,0x5e,0x6e}, + {0xfb,0x93,0xe5,0x87,0xf5,0x62,0x6c,0xb1,0x71,0x3e,0x5d,0xca,0xde,0xed,0x99,0x49,0x6d,0x3e,0xcc,0x14,0xe0,0xc1,0x91,0xb4,0xa8,0xdb,0xa8,0x89,0x47,0x11,0xf5,0x08,0x22,0x62,0x06,0x63,0x0e,0xfb,0x04,0x33,0x3f,0xba,0xac,0x87,0x89,0x06,0x35,0xfb,0xa3,0x61,0x10,0x8c,0x77,0x24,0x19,0xbd,0x20,0x86,0x83,0xd1,0x43,0xad,0x58,0x30,0xd0,0x63,0x76,0xe5,0xfd,0x0f,0x3c,0x32,0x10,0xa6,0x2e,0xa2,0x38,0xdf,0xc3,0x05,0x9a,0x4f,0x99,0xac,0xbd,0x8a,0xc7,0xbd,0x99,0xdc,0xe3,0xef,0xa4,0x9f,0x54,0x26}, + {0xd6,0xf9,0x6b,0x1e,0x46,0x5a,0x1d,0x74,0x81,0xa5,0x77,0x77,0xfc,0xb3,0x05,0x23,0xd9,0xd3,0x74,0x64,0xa2,0x74,0x55,0xd4,0xff,0xe0,0x01,0x64,0xdc,0xe1,0x26,0x19,0x6e,0x66,0x3f,0xaf,0x49,0x85,0x46,0xdb,0xa5,0x0e,0x4a,0xf1,0x04,0xcf,0x7f,0xd7,0x47,0x0c,0xba,0xa4,0xf7,0x3f,0xf2,0x3d,0x85,0x3c,0xce,0x32,0xe1,0xdf,0x10,0x3a,0xa0,0xce,0x17,0xea,0x8a,0x4e,0x7f,0xe0,0xfd,0xc1,0x1f,0x3a,0x46,0x15,0xd5,0x2f,0xf1,0xc0,0xf2,0x31,0xfd,0x22,0x53,0x17,0x15,0x5d,0x1e,0x86,0x1d,0xd0,0xa1,0x1f}, + {0x32,0x98,0x59,0x7d,0x94,0x55,0x80,0xcc,0x20,0x55,0xf1,0x37,0xda,0x56,0x46,0x1e,0x20,0x93,0x05,0x4e,0x74,0xf7,0xf6,0x99,0x33,0xcf,0x75,0x6a,0xbc,0x63,0x35,0x77,0xab,0x94,0xdf,0xd1,0x00,0xac,0xdc,0x38,0xe9,0x0d,0x08,0xd1,0xdd,0x2b,0x71,0x2e,0x62,0xe2,0xd5,0xfd,0x3e,0xe9,0x13,0x7f,0xe5,0x01,0x9a,0xee,0x18,0xed,0xfc,0x73,0xb3,0x9c,0x13,0x63,0x08,0xe9,0xb1,0x06,0xcd,0x3e,0xa0,0xc5,0x67,0xda,0x93,0xa4,0x32,0x89,0x63,0xad,0xc8,0xce,0x77,0x8d,0x44,0x4f,0x86,0x1b,0x70,0x6b,0x42,0x1f}, + {0x01,0x1c,0x91,0x41,0x4c,0x26,0xc9,0xef,0x25,0x2c,0xa2,0x17,0xb8,0xb7,0xa3,0xf1,0x47,0x14,0x0f,0xf3,0x6b,0xda,0x75,0x58,0x90,0xb0,0x31,0x1d,0x27,0xf5,0x1a,0x4e,0x52,0x25,0xa1,0x91,0xc8,0x35,0x7e,0xf1,0x76,0x9c,0x5e,0x57,0x53,0x81,0x6b,0xb7,0x3e,0x72,0x9b,0x0d,0x6f,0x40,0x83,0xfa,0x38,0xe4,0xa7,0x3f,0x1b,0xbb,0x76,0x0b,0x9b,0x93,0x92,0x7f,0xf9,0xc1,0xb8,0x08,0x6e,0xab,0x44,0xd4,0xcb,0x71,0x67,0xbe,0x17,0x80,0xbb,0x99,0x63,0x64,0xe5,0x22,0x55,0xa9,0x72,0xb7,0x1e,0xd6,0x6d,0x7b}, + {0x92,0x3d,0xf3,0x50,0xe8,0xc1,0xad,0xb7,0xcf,0xd5,0x8c,0x60,0x4f,0xfa,0x98,0x79,0xdb,0x5b,0xfc,0x8d,0xbd,0x2d,0x96,0xad,0x4f,0x2f,0x1d,0xaf,0xce,0x9b,0x3e,0x70,0xc7,0xd2,0x01,0xab,0xf9,0xab,0x30,0x57,0x18,0x3b,0x14,0x40,0xdc,0x76,0xfb,0x16,0x81,0xb2,0xcb,0xa0,0x65,0xbe,0x6c,0x86,0xfe,0x6a,0xff,0x9b,0x65,0x9b,0xfa,0x53,0x55,0x54,0x88,0x94,0xe9,0xc8,0x14,0x6c,0xe5,0xd4,0xae,0x65,0x66,0x5d,0x3a,0x84,0xf1,0x5a,0xd6,0xbc,0x3e,0xb7,0x1b,0x18,0x50,0x1f,0xc6,0xc4,0xe5,0x93,0x8d,0x39}, + {0xf3,0x48,0xe2,0x33,0x67,0xd1,0x4b,0x1c,0x5f,0x0a,0xbf,0x15,0x87,0x12,0x9e,0xbd,0x76,0x03,0x0b,0xa1,0xf0,0x8c,0x3f,0xd4,0x13,0x1b,0x19,0xdf,0x5d,0x9b,0xb0,0x53,0xf2,0xe3,0xe7,0xd2,0x60,0x7c,0x87,0xc3,0xb1,0x8b,0x82,0x30,0xa0,0xaa,0x34,0x3b,0x38,0xf1,0x9e,0x73,0xe7,0x26,0x3e,0x28,0x77,0x05,0xc3,0x02,0x90,0x9c,0x9c,0x69,0xcc,0xf1,0x46,0x59,0x23,0xa7,0x06,0xf3,0x7d,0xd9,0xe5,0xcc,0xb5,0x18,0x17,0x92,0x75,0xe9,0xb4,0x81,0x47,0xd2,0xcd,0x28,0x07,0xd9,0xcd,0x6f,0x0c,0xf3,0xca,0x51}, + {0x0a,0xe0,0x74,0x76,0x42,0xa7,0x0b,0xa6,0xf3,0x7b,0x7a,0xa1,0x70,0x85,0x0e,0x63,0xcc,0x24,0x33,0xcf,0x3d,0x56,0x58,0x37,0xaa,0xfd,0x83,0x23,0x29,0xaa,0x04,0x55,0xc7,0x54,0xac,0x18,0x9a,0xf9,0x7a,0x73,0x0f,0xb3,0x1c,0xc5,0xdc,0x78,0x33,0x90,0xc7,0x0c,0xe1,0x4c,0x33,0xbc,0x89,0x2b,0x9a,0xe9,0xf8,0x89,0xc1,0x29,0xae,0x12,0xcf,0x01,0x0d,0x1f,0xcb,0xc0,0x9e,0xa9,0xae,0xf7,0x34,0x3a,0xcc,0xef,0xd1,0x0d,0x22,0x4e,0x9c,0xd0,0x21,0x75,0xca,0x55,0xea,0xa5,0xeb,0x58,0xe9,0x4f,0xd1,0x5f}, + {0x2c,0xab,0x45,0x28,0xdf,0x2d,0xdc,0xb5,0x93,0xe9,0x7f,0x0a,0xb1,0x91,0x94,0x06,0x46,0xe3,0x02,0x40,0xd6,0xf3,0xaa,0x4d,0xd1,0x74,0x64,0x58,0x6e,0xf2,0x3f,0x09,0x8e,0xcb,0x93,0xbf,0x5e,0xfe,0x42,0x3c,0x5f,0x56,0xd4,0x36,0x51,0xa8,0xdf,0xbe,0xe8,0x20,0x42,0x88,0x9e,0x85,0xf0,0xe0,0x28,0xd1,0x25,0x07,0x96,0x3f,0xd7,0x7d,0x29,0x98,0x05,0x68,0xfe,0x24,0x0d,0xb1,0xe5,0x23,0xaf,0xdb,0x72,0x06,0x73,0x75,0x29,0xac,0x57,0xb4,0x3a,0x25,0x67,0x13,0xa4,0x70,0xb4,0x86,0xbc,0xbc,0x59,0x2f}, + {0x5f,0x13,0x17,0x99,0x42,0x7d,0x84,0x83,0xd7,0x03,0x7d,0x56,0x1f,0x91,0x1b,0xad,0xd1,0xaa,0x77,0xbe,0xd9,0x48,0x77,0x7e,0x4a,0xaf,0x51,0x2e,0x2e,0xb4,0x58,0x54,0x01,0xc3,0x91,0xb6,0x60,0xd5,0x41,0x70,0x1e,0xe7,0xd7,0xad,0x3f,0x1b,0x20,0x85,0x85,0x55,0x33,0x11,0x63,0xe1,0xc2,0x16,0xb1,0x28,0x08,0x01,0x3d,0x5e,0xa5,0x2a,0x4f,0x44,0x07,0x0c,0xe6,0x92,0x51,0xed,0x10,0x1d,0x42,0x74,0x2d,0x4e,0xc5,0x42,0x64,0xc8,0xb5,0xfd,0x82,0x4c,0x2b,0x35,0x64,0x86,0x76,0x8a,0x4a,0x00,0xe9,0x13}, + {0xdb,0xce,0x2f,0x83,0x45,0x88,0x9d,0x73,0x63,0xf8,0x6b,0xae,0xc9,0xd6,0x38,0xfa,0xf7,0xfe,0x4f,0xb7,0xca,0x0d,0xbc,0x32,0x5e,0xe4,0xbc,0x14,0x88,0x7e,0x93,0x73,0x7f,0x87,0x3b,0x19,0xc9,0x00,0x2e,0xbb,0x6b,0x50,0xdc,0xe0,0x90,0xa8,0xe3,0xec,0x9f,0x64,0xde,0x36,0xc0,0xb7,0xf3,0xec,0x1a,0x9e,0xde,0x98,0x08,0x04,0x46,0x5f,0x8d,0xf4,0x7b,0x29,0x16,0x71,0x03,0xb9,0x34,0x68,0xf0,0xd4,0x22,0x3b,0xd1,0xa9,0xc6,0xbd,0x96,0x46,0x57,0x15,0x97,0xe1,0x35,0xe8,0xd5,0x91,0xe8,0xa4,0xf8,0x2c}, + {0x67,0x0f,0x11,0x07,0x87,0xfd,0x93,0x6d,0x49,0xb5,0x38,0x7c,0xd3,0x09,0x4c,0xdd,0x86,0x6a,0x73,0xc2,0x4c,0x6a,0xb1,0x7c,0x09,0x2a,0x25,0x58,0x6e,0xbd,0x49,0x20,0xa2,0x6b,0xd0,0x17,0x7e,0x48,0xb5,0x2c,0x6b,0x19,0x50,0x39,0x1c,0x38,0xd2,0x24,0x30,0x8a,0x97,0x85,0x81,0x9c,0x65,0xd7,0xf6,0xa4,0xd6,0x91,0x28,0x7f,0x6f,0x7a,0x49,0xef,0x9a,0x6a,0x8d,0xfd,0x09,0x7d,0x0b,0xb9,0x3d,0x5b,0xbe,0x60,0xee,0xf0,0xd4,0xbf,0x9e,0x51,0x2c,0xb5,0x21,0x4c,0x1d,0x94,0x45,0xc5,0xdf,0xaa,0x11,0x60}, + {0x3c,0xf8,0x95,0xcf,0x6d,0x92,0x67,0x5f,0x71,0x90,0x28,0x71,0x61,0x85,0x7e,0x7c,0x5b,0x7a,0x8f,0x99,0xf3,0xe7,0xa1,0xd6,0xe0,0xf9,0x62,0x0b,0x1b,0xcc,0xc5,0x6f,0x90,0xf8,0xcb,0x02,0xc8,0xd0,0xde,0x63,0xaa,0x6a,0xff,0x0d,0xca,0x98,0xd0,0xfb,0x99,0xed,0xb6,0xb9,0xfd,0x0a,0x4d,0x62,0x1e,0x0b,0x34,0x79,0xb7,0x18,0xce,0x69,0xcb,0x79,0x98,0xb2,0x28,0x55,0xef,0xd1,0x92,0x90,0x7e,0xd4,0x3c,0xae,0x1a,0xdd,0x52,0x23,0x9f,0x18,0x42,0x04,0x7e,0x12,0xf1,0x01,0x71,0xe5,0x3a,0x6b,0x59,0x15}, + {0xa2,0x79,0x91,0x3f,0xd2,0x39,0x27,0x46,0xcf,0xdd,0xd6,0x97,0x31,0x12,0x83,0xff,0x8a,0x14,0xf2,0x53,0xb5,0xde,0x07,0x13,0xda,0x4d,0x5f,0x7b,0x68,0x37,0x22,0x0d,0xca,0x24,0x51,0x7e,0x16,0x31,0xff,0x09,0xdf,0x45,0xc7,0xd9,0x8b,0x15,0xe4,0x0b,0xe5,0x56,0xf5,0x7e,0x22,0x7d,0x2b,0x29,0x38,0xd1,0xb6,0xaf,0x41,0xe2,0xa4,0x3a,0xf5,0x05,0x33,0x2a,0xbf,0x38,0xc1,0x2c,0xc3,0x26,0xe9,0xa2,0x8f,0x3f,0x58,0x48,0xeb,0xd2,0x49,0x55,0xa2,0xb1,0x3a,0x08,0x6c,0xa3,0x87,0x46,0x6e,0xaa,0xfc,0x32}, + {0xf5,0x9a,0x7d,0xc5,0x8d,0x6e,0xc5,0x7b,0xf2,0xbd,0xf0,0x9d,0xed,0xd2,0x0b,0x3e,0xa3,0xe4,0xef,0x22,0xde,0x14,0xc0,0xaa,0x5c,0x6a,0xbd,0xfe,0xce,0xe9,0x27,0x46,0xdf,0xcc,0x87,0x27,0x73,0xa4,0x07,0x32,0xf8,0xe3,0x13,0xf2,0x08,0x19,0xe3,0x17,0x4e,0x96,0x0d,0xf6,0xd7,0xec,0xb2,0xd5,0xe9,0x0b,0x60,0xc2,0x36,0x63,0x6f,0x74,0x1c,0x97,0x6c,0xab,0x45,0xf3,0x4a,0x3f,0x1f,0x73,0x43,0x99,0x72,0xeb,0x88,0xe2,0x6d,0x18,0x44,0x03,0x8a,0x6a,0x59,0x33,0x93,0x62,0xd6,0x7e,0x00,0x17,0x49,0x7b}, + {0x64,0xb0,0x84,0xab,0x5c,0xfb,0x85,0x2d,0x14,0xbc,0xf3,0x89,0xd2,0x10,0x78,0x49,0x0c,0xce,0x15,0x7b,0x44,0xdc,0x6a,0x47,0x7b,0xfd,0x44,0xf8,0x76,0xa3,0x2b,0x12,0xdd,0xa2,0x53,0xdd,0x28,0x1b,0x34,0x54,0x3f,0xfc,0x42,0xdf,0x5b,0x90,0x17,0xaa,0xf4,0xf8,0xd2,0x4d,0xd9,0x92,0xf5,0x0f,0x7d,0xd3,0x8c,0xe0,0x0f,0x62,0x03,0x1d,0x54,0xe5,0xb4,0xa2,0xcd,0x32,0x02,0xc2,0x7f,0x18,0x5d,0x11,0x42,0xfd,0xd0,0x9e,0xd9,0x79,0xd4,0x7d,0xbe,0xb4,0xab,0x2e,0x4c,0xec,0x68,0x2b,0xf5,0x0b,0xc7,0x02}, + {0xbb,0x2f,0x0b,0x5d,0x4b,0xec,0x87,0xa2,0xca,0x82,0x48,0x07,0x90,0x57,0x5c,0x41,0x5c,0x81,0xd0,0xc1,0x1e,0xa6,0x44,0xe0,0xe0,0xf5,0x9e,0x40,0x0a,0x4f,0x33,0x26,0xe1,0x72,0x8d,0x45,0xbf,0x32,0xe5,0xac,0xb5,0x3c,0xb7,0x7c,0xe0,0x68,0xe7,0x5b,0xe7,0xbd,0x8b,0xee,0x94,0x7d,0xcf,0x56,0x03,0x3a,0xb4,0xfe,0xe3,0x97,0x06,0x6b,0xc0,0xa3,0x62,0xdf,0x4a,0xf0,0xc8,0xb6,0x5d,0xa4,0x6d,0x07,0xef,0x00,0xf0,0x3e,0xa9,0xd2,0xf0,0x49,0x58,0xb9,0x9c,0x9c,0xae,0x2f,0x1b,0x44,0x43,0x7f,0xc3,0x1c}, + {0x4f,0x32,0xc7,0x5c,0x5a,0x56,0x8f,0x50,0x22,0xa9,0x06,0xe5,0xc0,0xc4,0x61,0xd0,0x19,0xac,0x45,0x5c,0xdb,0xab,0x18,0xfb,0x4a,0x31,0x80,0x03,0xc1,0x09,0x68,0x6c,0xb9,0xae,0xce,0xc9,0xf1,0x56,0x66,0xd7,0x6a,0x65,0xe5,0x18,0xf8,0x15,0x5b,0x1c,0x34,0x23,0x4c,0x84,0x32,0x28,0xe7,0x26,0x38,0x68,0x19,0x2f,0x77,0x6f,0x34,0x3a,0xc8,0x6a,0xda,0xe2,0x12,0x51,0xd5,0xd2,0xed,0x51,0xe8,0xb1,0x31,0x03,0xbd,0xe9,0x62,0x72,0xc6,0x8e,0xdd,0x46,0x07,0x96,0xd0,0xc5,0xf7,0x6e,0x9f,0x1b,0x91,0x05}, + {0xbb,0x0e,0xdf,0xf5,0x83,0x99,0x33,0xc1,0xac,0x4c,0x2c,0x51,0x8f,0x75,0xf3,0xc0,0xe1,0x98,0xb3,0x0b,0x0a,0x13,0xf1,0x2c,0x62,0x0c,0x27,0xaa,0xf9,0xec,0x3c,0x6b,0xef,0xea,0x2e,0x51,0xf3,0xac,0x49,0x53,0x49,0xcb,0xc1,0x1c,0xd3,0x41,0xc1,0x20,0x8d,0x68,0x9a,0xa9,0x07,0x0c,0x18,0x24,0x17,0x2d,0x4b,0xc6,0xd1,0xf9,0x5e,0x55,0x08,0xbd,0x73,0x3b,0xba,0x70,0xa7,0x36,0x0c,0xbf,0xaf,0xa3,0x08,0xef,0x4a,0x62,0xf2,0x46,0x09,0xb4,0x98,0xff,0x37,0x57,0x9d,0x74,0x81,0x33,0xe1,0x4d,0x5f,0x67}, + {0xfc,0x82,0x17,0x6b,0x03,0x52,0x2c,0x0e,0xb4,0x83,0xad,0x6c,0x81,0x6c,0x81,0x64,0x3e,0x07,0x64,0x69,0xd9,0xbd,0xdc,0xd0,0x20,0xc5,0x64,0x01,0xf7,0x9d,0xd9,0x13,0x1d,0xb3,0xda,0x3b,0xd9,0xf6,0x2f,0xa1,0xfe,0x2d,0x65,0x9d,0x0f,0xd8,0x25,0x07,0x87,0x94,0xbe,0x9a,0xf3,0x4f,0x9c,0x01,0x43,0x3c,0xcd,0x82,0xb8,0x50,0xf4,0x60,0xca,0xc0,0xe5,0x21,0xc3,0x5e,0x4b,0x01,0xa2,0xbf,0x19,0xd7,0xc9,0x69,0xcb,0x4f,0xa0,0x23,0x00,0x75,0x18,0x1c,0x5f,0x4e,0x80,0xac,0xed,0x55,0x9e,0xde,0x06,0x1c}, + {0xe2,0xc4,0x3e,0xa3,0xd6,0x7a,0x0f,0x99,0x8e,0xe0,0x2e,0xbe,0x38,0xf9,0x08,0x66,0x15,0x45,0x28,0x63,0xc5,0x43,0xa1,0x9c,0x0d,0xb6,0x2d,0xec,0x1f,0x8a,0xf3,0x4c,0xaa,0x69,0x6d,0xff,0x40,0x2b,0xd5,0xff,0xbb,0x49,0x40,0xdc,0x18,0x0b,0x53,0x34,0x97,0x98,0x4d,0xa3,0x2f,0x5c,0x4a,0x5e,0x2d,0xba,0x32,0x7d,0x8e,0x6f,0x09,0x78,0xe7,0x5c,0xfa,0x0d,0x65,0xaa,0xaa,0xa0,0x8c,0x47,0xb5,0x48,0x2a,0x9e,0xc4,0xf9,0x5b,0x72,0x03,0x70,0x7d,0xcc,0x09,0x4f,0xbe,0x1a,0x09,0x26,0x3a,0xad,0x3c,0x37}, + {0x7c,0xf5,0xc9,0x82,0x4d,0x63,0x94,0xb2,0x36,0x45,0x93,0x24,0xe1,0xfd,0xcb,0x1f,0x5a,0xdb,0x8c,0x41,0xb3,0x4d,0x9c,0x9e,0xfc,0x19,0x44,0x45,0xd9,0xf3,0x40,0x00,0xad,0xbb,0xdd,0x89,0xfb,0xa8,0xbe,0xf1,0xcb,0xae,0xae,0x61,0xbc,0x2c,0xcb,0x3b,0x9d,0x8d,0x9b,0x1f,0xbb,0xa7,0x58,0x8f,0x86,0xa6,0x12,0x51,0xda,0x7e,0x54,0x21,0xd3,0x86,0x59,0xfd,0x39,0xe9,0xfd,0xde,0x0c,0x38,0x0a,0x51,0x89,0x2c,0x27,0xf4,0xb9,0x19,0x31,0xbb,0x07,0xa4,0x2b,0xb7,0xf4,0x4d,0x25,0x4a,0x33,0x0a,0x55,0x63}, + {0x37,0xcf,0x69,0xb5,0xed,0xd6,0x07,0x65,0xe1,0x2e,0xa5,0x0c,0xb0,0x29,0x84,0x17,0x5d,0xd6,0x6b,0xeb,0x90,0x00,0x7c,0xea,0x51,0x8f,0xf7,0xda,0xc7,0x62,0xea,0x3e,0x49,0x7b,0x54,0x72,0x45,0x58,0xba,0x9b,0xe0,0x08,0xc4,0xe2,0xfa,0xc6,0x05,0xf3,0x8d,0xf1,0x34,0xc7,0x69,0xfa,0xe8,0x60,0x7a,0x76,0x7d,0xaa,0xaf,0x2b,0xa9,0x39,0x4e,0x27,0x93,0xe6,0x13,0xc7,0x24,0x9d,0x75,0xd3,0xdb,0x68,0x77,0x85,0x63,0x5f,0x9a,0xb3,0x8a,0xeb,0x60,0x55,0x52,0x70,0xcd,0xc4,0xc9,0x65,0x06,0x6a,0x43,0x68}, + {0x27,0x3f,0x2f,0x20,0xe8,0x35,0x02,0xbc,0xb0,0x75,0xf9,0x64,0xe2,0x00,0x5c,0xc7,0x16,0x24,0x8c,0xa3,0xd5,0xe9,0xa4,0x91,0xf9,0x89,0xb7,0x8a,0xf6,0xe7,0xb6,0x17,0x7c,0x10,0x20,0xe8,0x17,0xd3,0x56,0x1e,0x65,0xe9,0x0a,0x84,0x44,0x68,0x26,0xc5,0x7a,0xfc,0x0f,0x32,0xc6,0xa1,0xe0,0xc1,0x72,0x14,0x61,0x91,0x9c,0x66,0x73,0x53,0x57,0x52,0x0e,0x9a,0xab,0x14,0x28,0x5d,0xfc,0xb3,0xca,0xc9,0x84,0x20,0x8f,0x90,0xca,0x1e,0x2d,0x5b,0x88,0xf5,0xca,0xaf,0x11,0x7d,0xf8,0x78,0xa6,0xb5,0xb4,0x1c}, + {0x6c,0xfc,0x4a,0x39,0x6b,0xc0,0x64,0xb6,0xb1,0x5f,0xda,0x98,0x24,0xde,0x88,0x0c,0x34,0xd8,0xca,0x4b,0x16,0x03,0x8d,0x4f,0xa2,0x34,0x74,0xde,0x78,0xca,0x0b,0x33,0xe7,0x07,0xa0,0xa2,0x62,0xaa,0x74,0x6b,0xb1,0xc7,0x71,0xf0,0xb0,0xe0,0x11,0xf3,0x23,0xe2,0x0b,0x00,0x38,0xe4,0x07,0x57,0xac,0x6e,0xef,0x82,0x2d,0xfd,0xc0,0x2d,0x4e,0x74,0x19,0x11,0x84,0xff,0x2e,0x98,0x24,0x47,0x07,0x2b,0x96,0x5e,0x69,0xf9,0xfb,0x53,0xc9,0xbf,0x4f,0xc1,0x8a,0xc5,0xf5,0x1c,0x9f,0x36,0x1b,0xbe,0x31,0x3c}, + {0xee,0x8a,0x94,0x08,0x4d,0x86,0xf4,0xb0,0x6f,0x1c,0xba,0x91,0xee,0x19,0xdc,0x07,0x58,0xa1,0xac,0xa6,0xae,0xcd,0x75,0x79,0xbb,0xd4,0x62,0x42,0x13,0x61,0x0b,0x33,0x72,0x42,0xcb,0xf9,0x93,0xbc,0x68,0xc1,0x98,0xdb,0xce,0xc7,0x1f,0x71,0xb8,0xae,0x7a,0x8d,0xac,0x34,0xaa,0x52,0x0e,0x7f,0xbb,0x55,0x7d,0x7e,0x09,0xc1,0xce,0x41,0x8a,0x80,0x6d,0xa2,0xd7,0x19,0x96,0xf7,0x6d,0x15,0x9e,0x1d,0x9e,0xd4,0x1f,0xbb,0x27,0xdf,0xa1,0xdb,0x6c,0xc3,0xd7,0x73,0x7d,0x77,0x28,0x1f,0xd9,0x4c,0xb4,0x26}, + {0x75,0x74,0x38,0x8f,0x47,0x48,0xf0,0x51,0x3c,0xcb,0xbe,0x9c,0xf4,0xbc,0x5d,0xb2,0x55,0x20,0x9f,0xd9,0x44,0x12,0xab,0x9a,0xd6,0xa5,0x10,0x1c,0x6c,0x9e,0x70,0x2c,0x83,0x03,0x73,0x62,0x93,0xf2,0xb7,0xe1,0x2c,0x8a,0xca,0xeb,0xff,0x79,0x52,0x4b,0x14,0x13,0xd4,0xbf,0x8a,0x77,0xfc,0xda,0x0f,0x61,0x72,0x9c,0x14,0x10,0xeb,0x7d,0x7a,0xee,0x66,0x87,0x6a,0xaf,0x62,0xcb,0x0e,0xcd,0x53,0x55,0x04,0xec,0xcb,0x66,0xb5,0xe4,0x0b,0x0f,0x38,0x01,0x80,0x58,0xea,0xe2,0x2c,0xf6,0x9f,0x8e,0xe6,0x08}, + {0xad,0x30,0xc1,0x4b,0x0a,0x50,0xad,0x34,0x9c,0xd4,0x0b,0x3d,0x49,0xdb,0x38,0x8d,0xbe,0x89,0x0a,0x50,0x98,0x3d,0x5c,0xa2,0x09,0x3b,0xba,0xee,0x87,0x3f,0x1f,0x2f,0xf9,0xf2,0xb8,0x0a,0xd5,0x09,0x2d,0x2f,0xdf,0x23,0x59,0xc5,0x8d,0x21,0xb9,0xac,0xb9,0x6c,0x76,0x73,0x26,0x34,0x8f,0x4a,0xf5,0x19,0xf7,0x38,0xd7,0x3b,0xb1,0x4c,0x4a,0xb6,0x15,0xe5,0x75,0x8c,0x84,0xf7,0x38,0x90,0x4a,0xdb,0xba,0x01,0x95,0xa5,0x50,0x1b,0x75,0x3f,0x3f,0x31,0x0d,0xc2,0xe8,0x2e,0xae,0xc0,0x53,0xe3,0xa1,0x19}, + {0xc3,0x05,0xfa,0xba,0x60,0x75,0x1c,0x7d,0x61,0x5e,0xe5,0xc6,0xa0,0xa0,0xe1,0xb3,0x73,0x64,0xd6,0xc0,0x18,0x97,0x52,0xe3,0x86,0x34,0x0c,0xc2,0x11,0x6b,0x54,0x41,0xbd,0xbd,0x96,0xd5,0xcd,0x72,0x21,0xb4,0x40,0xfc,0xee,0x98,0x43,0x45,0xe0,0x93,0xb5,0x09,0x41,0xb4,0x47,0x53,0xb1,0x9f,0x34,0xae,0x66,0x02,0x99,0xd3,0x6b,0x73,0xb4,0xb3,0x34,0x93,0x50,0x2d,0x53,0x85,0x73,0x65,0x81,0x60,0x4b,0x11,0xfd,0x46,0x75,0x83,0x5c,0x42,0x30,0x5f,0x5f,0xcc,0x5c,0xab,0x7f,0xb8,0xa2,0x95,0x22,0x41}, + {0xe9,0xd6,0x7e,0xf5,0x88,0x9b,0xc9,0x19,0x25,0xc8,0xf8,0x6d,0x26,0xcb,0x93,0x53,0x73,0xd2,0x0a,0xb3,0x13,0x32,0xee,0x5c,0x34,0x2e,0x2d,0xb5,0xeb,0x53,0xe1,0x14,0xc6,0xea,0x93,0xe2,0x61,0x52,0x65,0x2e,0xdb,0xac,0x33,0x21,0x03,0x92,0x5a,0x84,0x6b,0x99,0x00,0x79,0xcb,0x75,0x09,0x46,0x80,0xdd,0x5a,0x19,0x8d,0xbb,0x60,0x07,0x8a,0x81,0xe6,0xcd,0x17,0x1a,0x3e,0x41,0x84,0xa0,0x69,0xed,0xa9,0x6d,0x15,0x57,0xb1,0xcc,0xca,0x46,0x8f,0x26,0xbf,0x2c,0xf2,0xc5,0x3a,0xc3,0x9b,0xbe,0x34,0x6b}, + {0xb2,0xc0,0x78,0x3a,0x64,0x2f,0xdf,0xf3,0x7c,0x02,0x2e,0xf2,0x1e,0x97,0x3e,0x4c,0xa3,0xb5,0xc1,0x49,0x5e,0x1c,0x7d,0xec,0x2d,0xdd,0x22,0x09,0x8f,0xc1,0x12,0x20,0xd3,0xf2,0x71,0x65,0x65,0x69,0xfc,0x11,0x7a,0x73,0x0e,0x53,0x45,0xe8,0xc9,0xc6,0x35,0x50,0xfe,0xd4,0xa2,0xe7,0x3a,0xe3,0x0b,0xd3,0x6d,0x2e,0xb6,0xc7,0xb9,0x01,0x29,0x9d,0xc8,0x5a,0xe5,0x55,0x0b,0x88,0x63,0xa7,0xa0,0x45,0x1f,0x24,0x83,0x14,0x1f,0x6c,0xe7,0xc2,0xdf,0xef,0x36,0x3d,0xe8,0xad,0x4b,0x4e,0x78,0x5b,0xaf,0x08}, + {0x33,0x25,0x1f,0x88,0xdc,0x99,0x34,0x28,0xb6,0x23,0x93,0x77,0xda,0x25,0x05,0x9d,0xf4,0x41,0x34,0x67,0xfb,0xdd,0x7a,0x89,0x8d,0x16,0x3a,0x16,0x71,0x9d,0xb7,0x32,0x4b,0x2c,0xcc,0x89,0xd2,0x14,0x73,0xe2,0x8d,0x17,0x87,0xa2,0x11,0xbd,0xe4,0x4b,0xce,0x64,0x33,0xfa,0xd6,0x28,0xd5,0x18,0x6e,0x82,0xd9,0xaf,0xd5,0xc1,0x23,0x64,0x6a,0xb3,0xfc,0xed,0xd9,0xf8,0x85,0xcc,0xf9,0xe5,0x46,0x37,0x8f,0xc2,0xbc,0x22,0xcd,0xd3,0xe5,0xf9,0x38,0xe3,0x9d,0xe4,0xcc,0x2d,0x3e,0xc1,0xfb,0x5e,0x0a,0x48}, + {0x71,0x20,0x62,0x01,0x0b,0xe7,0x51,0x0b,0xc5,0xaf,0x1d,0x8b,0xcf,0x05,0xb5,0x06,0xcd,0xab,0x5a,0xef,0x61,0xb0,0x6b,0x2c,0x31,0xbf,0xb7,0x0c,0x60,0x27,0xaa,0x47,0x1f,0x22,0xce,0x42,0xe4,0x4c,0x61,0xb6,0x28,0x39,0x05,0x4c,0xcc,0x9d,0x19,0x6e,0x03,0xbe,0x1c,0xdc,0xa4,0xb4,0x3f,0x66,0x06,0x8e,0x1c,0x69,0x47,0x1d,0xb3,0x24,0xc3,0xf8,0x15,0xc0,0xed,0x1e,0x54,0x2a,0x7c,0x3f,0x69,0x7c,0x7e,0xfe,0xa4,0x11,0xd6,0x78,0xa2,0x4e,0x13,0x66,0xaf,0xf0,0x94,0xa0,0xdd,0x14,0x5d,0x58,0x5b,0x54}, + {0x0f,0x3a,0xd4,0xa0,0x5e,0x27,0xbf,0x67,0xbe,0xee,0x9b,0x08,0x34,0x8e,0xe6,0xad,0x2e,0xe7,0x79,0xd4,0x4c,0x13,0x89,0x42,0x54,0x54,0xba,0x32,0xc3,0xf9,0x62,0x0f,0xe1,0x21,0xb3,0xe3,0xd0,0xe4,0x04,0x62,0x95,0x1e,0xff,0x28,0x7a,0x63,0xaa,0x3b,0x9e,0xbd,0x99,0x5b,0xfd,0xcf,0x0c,0x0b,0x71,0xd0,0xc8,0x64,0x3e,0xdc,0x22,0x4d,0x39,0x5f,0x3b,0xd6,0x89,0x65,0xb4,0xfc,0x61,0xcf,0xcb,0x57,0x3f,0x6a,0xae,0x5c,0x05,0xfa,0x3a,0x95,0xd2,0xc2,0xba,0xfe,0x36,0x14,0x37,0x36,0x1a,0xa0,0x0f,0x1c}, + {0xff,0x3d,0x94,0x22,0xb6,0x04,0xc6,0xd2,0xa0,0xb3,0xcf,0x44,0xce,0xbe,0x8c,0xbc,0x78,0x86,0x80,0x97,0xf3,0x4f,0x25,0x5d,0xbf,0xa6,0x1c,0x3b,0x4f,0x61,0xa3,0x0f,0x50,0x6a,0x93,0x8c,0x0e,0x2b,0x08,0x69,0xb6,0xc5,0xda,0xc1,0x35,0xa0,0xc9,0xf9,0x34,0xb6,0xdf,0xc4,0x54,0x3e,0xb7,0x6f,0x40,0xc1,0x2b,0x1d,0x9b,0x41,0x05,0x40,0xf0,0x82,0xbe,0xb9,0xbd,0xfe,0x03,0xa0,0x90,0xac,0x44,0x3a,0xaf,0xc1,0x89,0x20,0x8e,0xfa,0x54,0x19,0x91,0x9f,0x49,0xf8,0x42,0xab,0x40,0xef,0x8a,0x21,0xba,0x1f}, + {0x3e,0xf5,0xc8,0xfa,0x48,0x94,0x54,0xab,0x41,0x37,0xa6,0x7b,0x9a,0xe8,0xf6,0x81,0x01,0x5e,0x2b,0x6c,0x7d,0x6c,0xfd,0x74,0x42,0x6e,0xc8,0xa8,0xca,0x3a,0x2e,0x39,0x94,0x01,0x7b,0x3e,0x04,0x57,0x3e,0x4f,0x7f,0xaf,0xda,0x08,0xee,0x3e,0x1d,0xa8,0xf1,0xde,0xdc,0x99,0xab,0xc6,0x39,0xc8,0xd5,0x61,0x77,0xff,0x13,0x5d,0x53,0x6c,0xaf,0x35,0x8a,0x3e,0xe9,0x34,0xbd,0x4c,0x16,0xe8,0x87,0x58,0x44,0x81,0x07,0x2e,0xab,0xb0,0x9a,0xf2,0x76,0x9c,0x31,0x19,0x3b,0xc1,0x0a,0xd5,0xe4,0x7f,0xe1,0x25}, + {0x76,0xf6,0x04,0x1e,0xd7,0x9b,0x28,0x0a,0x95,0x0f,0x42,0xd6,0x52,0x1c,0x8e,0x20,0xab,0x1f,0x69,0x34,0xb0,0xd8,0x86,0x51,0x51,0xb3,0x9f,0x2a,0x44,0x51,0x57,0x25,0xa7,0x21,0xf1,0x76,0xf5,0x7f,0x5f,0x91,0xe3,0x87,0xcd,0x2f,0x27,0x32,0x4a,0xc3,0x26,0xe5,0x1b,0x4d,0xde,0x2f,0xba,0xcc,0x9b,0x89,0x69,0x89,0x8f,0x82,0xba,0x6b,0x01,0x39,0xfe,0x90,0x66,0xbc,0xd1,0xe2,0xd5,0x7a,0x99,0xa0,0x18,0x4a,0xb5,0x4c,0xd4,0x60,0x84,0xaf,0x14,0x69,0x1d,0x97,0xe4,0x7b,0x6b,0x7f,0x4f,0x50,0x9d,0x55}, + {0xd5,0x54,0xeb,0xb3,0x78,0x83,0x73,0xa7,0x7c,0x3c,0x55,0xa5,0x66,0xd3,0x69,0x1d,0xba,0x00,0x28,0xf9,0x62,0xcf,0x26,0x0a,0x17,0x32,0x7e,0x80,0xd5,0x12,0xab,0x01,0xfd,0x66,0xd2,0xf6,0xe7,0x91,0x48,0x9c,0x1b,0x78,0x07,0x03,0x9b,0xa1,0x44,0x07,0x3b,0xe2,0x61,0x60,0x1d,0x8f,0x38,0x88,0x0e,0xd5,0x4b,0x35,0xa3,0xa6,0x3e,0x12,0x96,0x2d,0xe3,0x41,0x90,0x18,0x8d,0x11,0x48,0x58,0x31,0xd8,0xc2,0xe3,0xed,0xb9,0xd9,0x45,0x32,0xd8,0x71,0x42,0xab,0x1e,0x54,0xa1,0x18,0xc9,0xe2,0x61,0x39,0x4a}, + {0xa0,0xbb,0xe6,0xf8,0xe0,0x3b,0xdc,0x71,0x0a,0xe3,0xff,0x7e,0x34,0xf8,0xce,0xd6,0x6a,0x47,0x3a,0xe1,0x5f,0x42,0x92,0xa9,0x63,0xb7,0x1d,0xfb,0xe3,0xbc,0xd6,0x2c,0x1e,0x3f,0x23,0xf3,0x44,0xd6,0x27,0x03,0x16,0xf0,0xfc,0x34,0x0e,0x26,0x9a,0x49,0x79,0xb9,0xda,0xf2,0x16,0xa7,0xb5,0x83,0x1f,0x11,0xd4,0x9b,0xad,0xee,0xac,0x68,0x10,0xc2,0xd7,0xf3,0x0e,0xc9,0xb4,0x38,0x0c,0x04,0xad,0xb7,0x24,0x6e,0x8e,0x30,0x23,0x3e,0xe7,0xb7,0xf1,0xd9,0x60,0x38,0x97,0xf5,0x08,0xb5,0xd5,0x60,0x57,0x59}, + {0x97,0x63,0xaa,0x04,0xe1,0xbf,0x29,0x61,0xcb,0xfc,0xa7,0xa4,0x08,0x00,0x96,0x8f,0x58,0x94,0x90,0x7d,0x89,0xc0,0x8b,0x3f,0xa9,0x91,0xb2,0xdc,0x3e,0xa4,0x9f,0x70,0x90,0x27,0x02,0xfd,0xeb,0xcb,0x2a,0x88,0x60,0x57,0x11,0xc4,0x05,0x33,0xaf,0x89,0xf4,0x73,0x34,0x7d,0xe3,0x92,0xf4,0x65,0x2b,0x5a,0x51,0x54,0xdf,0xc5,0xb2,0x2c,0xca,0x2a,0xfd,0x63,0x8c,0x5d,0x0a,0xeb,0xff,0x4e,0x69,0x2e,0x66,0xc1,0x2b,0xd2,0x3a,0xb0,0xcb,0xf8,0x6e,0xf3,0x23,0x27,0x1f,0x13,0xc8,0xf0,0xec,0x29,0xf0,0x70}, + {0x33,0x3e,0xed,0x2e,0xb3,0x07,0x13,0x46,0xe7,0x81,0x55,0xa4,0x33,0x2f,0x04,0xae,0x66,0x03,0x5f,0x19,0xd3,0x49,0x44,0xc9,0x58,0x48,0x31,0x6c,0x8a,0x5d,0x7d,0x0b,0xb9,0xb0,0x10,0x5e,0xaa,0xaf,0x6a,0x2a,0xa9,0x1a,0x04,0xef,0x70,0xa3,0xf0,0x78,0x1f,0xd6,0x3a,0xaa,0x77,0xfb,0x3e,0x77,0xe1,0xd9,0x4b,0xa7,0xa2,0xa5,0xec,0x44,0x43,0xd5,0x95,0x7b,0x32,0x48,0xd4,0x25,0x1d,0x0f,0x34,0xa3,0x00,0x83,0xd3,0x70,0x2b,0xc5,0xe1,0x60,0x1c,0x53,0x1c,0xde,0xe4,0xe9,0x7d,0x2c,0x51,0x24,0x22,0x27}, + {0x2e,0x34,0xc5,0x49,0xaf,0x92,0xbc,0x1a,0xd0,0xfa,0xe6,0xb2,0x11,0xd8,0xee,0xff,0x29,0x4e,0xc8,0xfc,0x8d,0x8c,0xa2,0xef,0x43,0xc5,0x4c,0xa4,0x18,0xdf,0xb5,0x11,0xfc,0x75,0xa9,0x42,0x8a,0xbb,0x7b,0xbf,0x58,0xa3,0xad,0x96,0x77,0x39,0x5c,0x8c,0x48,0xaa,0xed,0xcd,0x6f,0xc7,0x7f,0xe2,0xa6,0x20,0xbc,0xf6,0xd7,0x5f,0x73,0x19,0x66,0x42,0xc8,0x42,0xd0,0x90,0xab,0xe3,0x7e,0x54,0x19,0x7f,0x0f,0x8e,0x84,0xeb,0xb9,0x97,0xa4,0x65,0xd0,0xa1,0x03,0x25,0x5f,0x89,0xdf,0x91,0x11,0x91,0xef,0x0f} +}; diff --git a/cbits/ed25519/ed25519-donna-batchverify.h b/cbits/ed25519/ed25519-donna-batchverify.h new file mode 100644 index 0000000..43c4923 --- /dev/null +++ b/cbits/ed25519/ed25519-donna-batchverify.h @@ -0,0 +1,275 @@ +/* + Ed25519 batch verification +*/ + +#define max_batch_size 64 +#define heap_batch_size ((max_batch_size * 2) + 1) + +/* which limb is the 128th bit in? */ +static const size_t limb128bits = (128 + bignum256modm_bits_per_limb - 1) / bignum256modm_bits_per_limb; + +typedef size_t heap_index_t; + +typedef struct batch_heap_t { + unsigned char r[heap_batch_size][16]; /* 128 bit random values */ + ge25519 points[heap_batch_size]; + bignum256modm scalars[heap_batch_size]; + heap_index_t heap[heap_batch_size]; + size_t size; +} batch_heap; + +/* swap two values in the heap */ +static void +heap_swap(heap_index_t *heap, size_t a, size_t b) { + heap_index_t temp; + temp = heap[a]; + heap[a] = heap[b]; + heap[b] = temp; +} + +/* add the scalar at the end of the list to the heap */ +static void +heap_insert_next(batch_heap *heap) { + size_t node = heap->size, parent; + heap_index_t *pheap = heap->heap; + bignum256modm *scalars = heap->scalars; + + /* insert at the bottom */ + pheap[node] = (heap_index_t)node; + + /* sift node up to its sorted spot */ + parent = (node - 1) / 2; + while (node && lt256_modm_batch(scalars[pheap[parent]], scalars[pheap[node]], bignum256modm_limb_size - 1)) { + heap_swap(pheap, parent, node); + node = parent; + parent = (node - 1) / 2; + } + heap->size++; +} + +/* update the heap when the root element is updated */ +static void +heap_updated_root(batch_heap *heap, size_t limbsize) { + size_t node, parent, childr, childl; + heap_index_t *pheap = heap->heap; + bignum256modm *scalars = heap->scalars; + + /* sift root to the bottom */ + parent = 0; + node = 1; + childl = 1; + childr = 2; + while ((childr < heap->size)) { + node = lt256_modm_batch(scalars[pheap[childl]], scalars[pheap[childr]], limbsize) ? childr : childl; + heap_swap(pheap, parent, node); + parent = node; + childl = (parent * 2) + 1; + childr = childl + 1; + } + + /* sift root back up to its sorted spot */ + parent = (node - 1) / 2; + while (node && lte256_modm_batch(scalars[pheap[parent]], scalars[pheap[node]], limbsize)) { + heap_swap(pheap, parent, node); + node = parent; + parent = (node - 1) / 2; + } +} + +/* build the heap with count elements, count must be >= 3 */ +static void +heap_build(batch_heap *heap, size_t count) { + heap->heap[0] = 0; + heap->size = 0; + while (heap->size < count) + heap_insert_next(heap); +} + +/* extend the heap to contain new_count elements */ +static void +heap_extend(batch_heap *heap, size_t new_count) { + while (heap->size < new_count) + heap_insert_next(heap); +} + +/* get the top 2 elements of the heap */ +static void +heap_get_top2(batch_heap *heap, heap_index_t *max1, heap_index_t *max2, size_t limbsize) { + heap_index_t h0 = heap->heap[0], h1 = heap->heap[1], h2 = heap->heap[2]; + if (lt256_modm_batch(heap->scalars[h1], heap->scalars[h2], limbsize)) + h1 = h2; + *max1 = h0; + *max2 = h1; +} + +/* */ +static void +ge25519_multi_scalarmult_vartime_final(ge25519 *r, ge25519 *point, bignum256modm scalar) { + const bignum256modm_element_t topbit = ((bignum256modm_element_t)1 << (bignum256modm_bits_per_limb - 1)); + size_t limb = limb128bits; + bignum256modm_element_t flag; + + if (isone256_modm_batch(scalar)) { + /* this will happen most of the time after bos-carter */ + *r = *point; + return; + } else if (iszero256_modm_batch(scalar)) { + /* this will only happen if all scalars == 0 */ + memset(r, 0, sizeof(*r)); + r->y[0] = 1; + r->z[0] = 1; + return; + } + + *r = *point; + + /* find the limb where first bit is set */ + while (!scalar[limb]) + limb--; + + /* find the first bit */ + flag = topbit; + while ((scalar[limb] & flag) == 0) + flag >>= 1; + + /* exponentiate */ + for (;;) { + ge25519_double(r, r); + if (scalar[limb] & flag) + ge25519_add(r, r, point); + + flag >>= 1; + if (!flag) { + if (!limb--) + break; + flag = topbit; + } + } +} + +/* count must be >= 5 */ +static void +ge25519_multi_scalarmult_vartime(ge25519 *r, batch_heap *heap, size_t count) { + heap_index_t max1, max2; + + /* start with the full limb size */ + size_t limbsize = bignum256modm_limb_size - 1; + + /* whether the heap has been extended to include the 128 bit scalars */ + int extended = 0; + + /* grab an odd number of scalars to build the heap, unknown limb sizes */ + heap_build(heap, ((count + 1) / 2) | 1); + + for (;;) { + heap_get_top2(heap, &max1, &max2, limbsize); + + /* only one scalar remaining, we're done */ + if (iszero256_modm_batch(heap->scalars[max2])) + break; + + /* exhausted another limb? */ + if (!heap->scalars[max1][limbsize]) + limbsize -= 1; + + /* can we extend to the 128 bit scalars? */ + if (!extended && isatmost128bits256_modm_batch(heap->scalars[max1])) { + heap_extend(heap, count); + heap_get_top2(heap, &max1, &max2, limbsize); + extended = 1; + } + + sub256_modm_batch(heap->scalars[max1], heap->scalars[max1], heap->scalars[max2], limbsize); + ge25519_add(&heap->points[max2], &heap->points[max2], &heap->points[max1]); + heap_updated_root(heap, limbsize); + } + + ge25519_multi_scalarmult_vartime_final(r, &heap->points[max1], heap->scalars[max1]); +} + +/* not actually used for anything other than testing */ +unsigned char batch_point_buffer[3][32]; + +static int +ge25519_is_neutral_vartime(const ge25519 *p) { + static const unsigned char zero[32] = {0}; + unsigned char point_buffer[3][32]; + curve25519_contract(point_buffer[0], p->x); + curve25519_contract(point_buffer[1], p->y); + curve25519_contract(point_buffer[2], p->z); + memcpy(batch_point_buffer[1], point_buffer[1], 32); + return (memcmp(point_buffer[0], zero, 32) == 0) && (memcmp(point_buffer[1], point_buffer[2], 32) == 0); +} + +int +ED25519_FN(ed25519_sign_open_batch) (const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid) { + batch_heap ALIGN(16) batch; + ge25519 ALIGN(16) p; + bignum256modm *r_scalars; + size_t i, batchsize; + unsigned char hram[64]; + int ret = 0; + + for (i = 0; i < num; i++) + valid[i] = 1; + + while (num > 3) { + batchsize = (num > max_batch_size) ? max_batch_size : num; + + /* generate r (scalars[batchsize+1]..scalars[2*batchsize] */ + ED25519_FN(ed25519_randombytes_unsafe) (batch.r, batchsize * 16); + r_scalars = &batch.scalars[batchsize + 1]; + for (i = 0; i < batchsize; i++) + expand256_modm(r_scalars[i], batch.r[i], 16); + + /* compute scalars[0] = ((r1s1 + r2s2 + ...)) */ + for (i = 0; i < batchsize; i++) { + expand256_modm(batch.scalars[i], RS[i] + 32, 32); + mul256_modm(batch.scalars[i], batch.scalars[i], r_scalars[i]); + } + for (i = 1; i < batchsize; i++) + add256_modm(batch.scalars[0], batch.scalars[0], batch.scalars[i]); + + /* compute scalars[1]..scalars[batchsize] as r[i]*H(R[i],A[i],m[i]) */ + for (i = 0; i < batchsize; i++) { + ed25519_hram(hram, RS[i], pk[i], m[i], mlen[i]); + expand256_modm(batch.scalars[i+1], hram, 64); + mul256_modm(batch.scalars[i+1], batch.scalars[i+1], r_scalars[i]); + } + + /* compute points */ + batch.points[0] = ge25519_basepoint; + for (i = 0; i < batchsize; i++) + if (!ge25519_unpack_negative_vartime(&batch.points[i+1], pk[i])) + goto fallback; + for (i = 0; i < batchsize; i++) + if (!ge25519_unpack_negative_vartime(&batch.points[batchsize+i+1], RS[i])) + goto fallback; + + ge25519_multi_scalarmult_vartime(&p, &batch, (batchsize * 2) + 1); + if (!ge25519_is_neutral_vartime(&p)) { + ret |= 2; + + fallback: + for (i = 0; i < batchsize; i++) { + valid[i] = ED25519_FN(ed25519_sign_open) (m[i], mlen[i], pk[i], RS[i]) ? 0 : 1; + ret |= (valid[i] ^ 1); + } + } + + m += batchsize; + mlen += batchsize; + pk += batchsize; + RS += batchsize; + num -= batchsize; + valid += batchsize; + } + + for (i = 0; i < num; i++) { + valid[i] = ED25519_FN(ed25519_sign_open) (m[i], mlen[i], pk[i], RS[i]) ? 0 : 1; + ret |= (valid[i] ^ 1); + } + + return ret; +} + diff --git a/cbits/ed25519/ed25519-donna-impl-base.h b/cbits/ed25519/ed25519-donna-impl-base.h new file mode 100644 index 0000000..48913ed --- /dev/null +++ b/cbits/ed25519/ed25519-donna-impl-base.h @@ -0,0 +1,364 @@ +/* + conversions +*/ + +DONNA_INLINE static void +ge25519_p1p1_to_partial(ge25519 *r, const ge25519_p1p1 *p) { + curve25519_mul(r->x, p->x, p->t); + curve25519_mul(r->y, p->y, p->z); + curve25519_mul(r->z, p->z, p->t); +} + +DONNA_INLINE static void +ge25519_p1p1_to_full(ge25519 *r, const ge25519_p1p1 *p) { + curve25519_mul(r->x, p->x, p->t); + curve25519_mul(r->y, p->y, p->z); + curve25519_mul(r->z, p->z, p->t); + curve25519_mul(r->t, p->x, p->y); +} + +static void +ge25519_full_to_pniels(ge25519_pniels *p, const ge25519 *r) { + curve25519_sub(p->ysubx, r->y, r->x); + curve25519_add(p->xaddy, r->y, r->x); + curve25519_copy(p->z, r->z); + curve25519_mul(p->t2d, r->t, ge25519_ec2d); +} + +/* + adding & doubling +*/ + +static void +ge25519_add_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519 *q) { + bignum25519 a,b,c,d,t,u; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_sub(t, q->y, q->x); + curve25519_add(u, q->y, q->x); + curve25519_mul(a, a, t); + curve25519_mul(b, b, u); + curve25519_mul(c, p->t, q->t); + curve25519_mul(c, c, ge25519_ec2d); + curve25519_mul(d, p->z, q->z); + curve25519_add(d, d, d); + curve25519_sub(r->x, b, a); + curve25519_add(r->y, b, a); + curve25519_add_after_basic(r->z, d, c); + curve25519_sub_after_basic(r->t, d, c); +} + + +static void +ge25519_double_p1p1(ge25519_p1p1 *r, const ge25519 *p) { + bignum25519 a,b,c; + + curve25519_square(a, p->x); + curve25519_square(b, p->y); + curve25519_square(c, p->z); + curve25519_add_reduce(c, c, c); + curve25519_add(r->x, p->x, p->y); + curve25519_square(r->x, r->x); + curve25519_add(r->y, b, a); + curve25519_sub(r->z, b, a); + curve25519_sub_after_basic(r->x, r->x, r->y); + curve25519_sub_after_basic(r->t, c, r->z); +} + +static void +ge25519_nielsadd2_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_niels *q, unsigned char signbit) { + const bignum25519 *qb = (const bignum25519 *)q; + bignum25519 *rb = (bignum25519 *)r; + bignum25519 a,b,c; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, qb[signbit]); /* x for +, y for - */ + curve25519_mul(r->x, b, qb[signbit^1]); /* y for +, x for - */ + curve25519_add(r->y, r->x, a); + curve25519_sub(r->x, r->x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_add_reduce(r->t, p->z, p->z); + curve25519_copy(r->z, r->t); + curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */ + curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */ +} + +static void +ge25519_pnielsadd_p1p1(ge25519_p1p1 *r, const ge25519 *p, const ge25519_pniels *q, unsigned char signbit) { + const bignum25519 *qb = (const bignum25519 *)q; + bignum25519 *rb = (bignum25519 *)r; + bignum25519 a,b,c; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, qb[signbit]); /* ysubx for +, xaddy for - */ + curve25519_mul(r->x, b, qb[signbit^1]); /* xaddy for +, ysubx for - */ + curve25519_add(r->y, r->x, a); + curve25519_sub(r->x, r->x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_mul(r->t, p->z, q->z); + curve25519_add_reduce(r->t, r->t, r->t); + curve25519_copy(r->z, r->t); + curve25519_add(rb[2+signbit], rb[2+signbit], c); /* z for +, t for - */ + curve25519_sub(rb[2+(signbit^1)], rb[2+(signbit^1)], c); /* t for +, z for - */ +} + +static void +ge25519_double_partial(ge25519 *r, const ge25519 *p) { + ge25519_p1p1 t; + ge25519_double_p1p1(&t, p); + ge25519_p1p1_to_partial(r, &t); +} + +static void +ge25519_double(ge25519 *r, const ge25519 *p) { + ge25519_p1p1 t; + ge25519_double_p1p1(&t, p); + ge25519_p1p1_to_full(r, &t); +} + +static void +ge25519_add(ge25519 *r, const ge25519 *p, const ge25519 *q) { + ge25519_p1p1 t; + ge25519_add_p1p1(&t, p, q); + ge25519_p1p1_to_full(r, &t); +} + +static void +ge25519_nielsadd2(ge25519 *r, const ge25519_niels *q) { + bignum25519 a,b,c,e,f,g,h; + + curve25519_sub(a, r->y, r->x); + curve25519_add(b, r->y, r->x); + curve25519_mul(a, a, q->ysubx); + curve25519_mul(e, b, q->xaddy); + curve25519_add(h, e, a); + curve25519_sub(e, e, a); + curve25519_mul(c, r->t, q->t2d); + curve25519_add(f, r->z, r->z); + curve25519_add_after_basic(g, f, c); + curve25519_sub_after_basic(f, f, c); + curve25519_mul(r->x, e, f); + curve25519_mul(r->y, h, g); + curve25519_mul(r->z, g, f); + curve25519_mul(r->t, e, h); +} + +static void +ge25519_pnielsadd(ge25519_pniels *r, const ge25519 *p, const ge25519_pniels *q) { + bignum25519 a,b,c,x,y,z,t; + + curve25519_sub(a, p->y, p->x); + curve25519_add(b, p->y, p->x); + curve25519_mul(a, a, q->ysubx); + curve25519_mul(x, b, q->xaddy); + curve25519_add(y, x, a); + curve25519_sub(x, x, a); + curve25519_mul(c, p->t, q->t2d); + curve25519_mul(t, p->z, q->z); + curve25519_add(t, t, t); + curve25519_add_after_basic(z, t, c); + curve25519_sub_after_basic(t, t, c); + curve25519_mul(r->xaddy, x, t); + curve25519_mul(r->ysubx, y, z); + curve25519_mul(r->z, z, t); + curve25519_mul(r->t2d, x, y); + curve25519_copy(y, r->ysubx); + curve25519_sub(r->ysubx, r->ysubx, r->xaddy); + curve25519_add(r->xaddy, r->xaddy, y); + curve25519_mul(r->t2d, r->t2d, ge25519_ec2d); +} + + +/* + pack & unpack +*/ + +static void +ge25519_pack(unsigned char r[32], const ge25519 *p) { + bignum25519 tx, ty, zi; + unsigned char parity[32]; + curve25519_recip(zi, p->z); + curve25519_mul(tx, p->x, zi); + curve25519_mul(ty, p->y, zi); + curve25519_contract(r, ty); + curve25519_contract(parity, tx); + r[31] ^= ((parity[0] & 1) << 7); +} + +static int +ge25519_unpack_negative_vartime(ge25519 *r, const unsigned char p[32]) { + static const unsigned char zero[32] = {0}; + static const bignum25519 one = {1}; + unsigned char parity = p[31] >> 7; + unsigned char check[32]; + bignum25519 t, root, num, den, d3; + + curve25519_expand(r->y, p); + curve25519_copy(r->z, one); + curve25519_square(num, r->y); /* x = y^2 */ + curve25519_mul(den, num, ge25519_ecd); /* den = dy^2 */ + curve25519_sub_reduce(num, num, r->z); /* x = y^1 - 1 */ + curve25519_add(den, den, r->z); /* den = dy^2 + 1 */ + + /* Computation of sqrt(num/den) */ + /* 1.: computation of num^((p-5)/8)*den^((7p-35)/8) = (num*den^7)^((p-5)/8) */ + curve25519_square(t, den); + curve25519_mul(d3, t, den); + curve25519_square(r->x, d3); + curve25519_mul(r->x, r->x, den); + curve25519_mul(r->x, r->x, num); + curve25519_pow_two252m3(r->x, r->x); + + /* 2. computation of r->x = num * den^3 * (num*den^7)^((p-5)/8) */ + curve25519_mul(r->x, r->x, d3); + curve25519_mul(r->x, r->x, num); + + /* 3. Check if either of the roots works: */ + curve25519_square(t, r->x); + curve25519_mul(t, t, den); + curve25519_sub_reduce(root, t, num); + curve25519_contract(check, root); + if (!ed25519_verify(check, zero, 32)) { + curve25519_add_reduce(t, t, num); + curve25519_contract(check, t); + if (!ed25519_verify(check, zero, 32)) + return 0; + curve25519_mul(r->x, r->x, ge25519_sqrtneg1); + } + + curve25519_contract(check, r->x); + if ((check[0] & 1) == parity) { + curve25519_copy(t, r->x); + curve25519_neg(r->x, t); + } + curve25519_mul(r->t, r->x, r->y); + return 1; +} + + +/* + scalarmults +*/ + +#define S1_SWINDOWSIZE 5 +#define S1_TABLE_SIZE (1<<(S1_SWINDOWSIZE-2)) +#define S2_SWINDOWSIZE 7 +#define S2_TABLE_SIZE (1<<(S2_SWINDOWSIZE-2)) + +/* computes [s1]p1 + [s2]basepoint */ +static void +ge25519_double_scalarmult_vartime(ge25519 *r, const ge25519 *p1, const bignum256modm s1, const bignum256modm s2) { + signed char slide1[256], slide2[256]; + ge25519_pniels pre1[S1_TABLE_SIZE]; + ge25519 d1; + ge25519_p1p1 t; + int32_t i; + + contract256_slidingwindow_modm(slide1, s1, S1_SWINDOWSIZE); + contract256_slidingwindow_modm(slide2, s2, S2_SWINDOWSIZE); + + ge25519_double(&d1, p1); + ge25519_full_to_pniels(pre1, p1); + for (i = 0; i < S1_TABLE_SIZE - 1; i++) + ge25519_pnielsadd(&pre1[i+1], &d1, &pre1[i]); + + /* set neutral */ + memset(r, 0, sizeof(ge25519)); + r->y[0] = 1; + r->z[0] = 1; + + i = 255; + while ((i >= 0) && !(slide1[i] | slide2[i])) + i--; + + for (; i >= 0; i--) { + ge25519_double_p1p1(&t, r); + + if (slide1[i]) { + ge25519_p1p1_to_full(r, &t); + ge25519_pnielsadd_p1p1(&t, r, &pre1[abs(slide1[i]) / 2], (unsigned char)slide1[i] >> 7); + } + + if (slide2[i]) { + ge25519_p1p1_to_full(r, &t); + ge25519_nielsadd2_p1p1(&t, r, &ge25519_niels_sliding_multiples[abs(slide2[i]) / 2], (unsigned char)slide2[i] >> 7); + } + + ge25519_p1p1_to_partial(r, &t); + } +} + + + +#if !defined(HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS) + +static uint32_t +ge25519_windowb_equal(uint32_t b, uint32_t c) { + return ((b ^ c) - 1) >> 31; +} + +static void +ge25519_scalarmult_base_choose_niels(ge25519_niels *t, const uint8_t table[256][96], uint32_t pos, signed char b) { + bignum25519 neg; + uint32_t sign = (uint32_t)((unsigned char)b >> 7); + uint32_t mask = ~(sign - 1); + uint32_t u = (b + mask) ^ mask; + uint32_t i; + + /* ysubx, xaddy, t2d in packed form. initialize to ysubx = 1, xaddy = 1, t2d = 0 */ + uint8_t packed[96] = {0}; + packed[0] = 1; + packed[32] = 1; + + for (i = 0; i < 8; i++) + curve25519_move_conditional_bytes(packed, table[(pos * 8) + i], ge25519_windowb_equal(u, i + 1)); + + /* expand in to t */ + curve25519_expand(t->ysubx, packed + 0); + curve25519_expand(t->xaddy, packed + 32); + curve25519_expand(t->t2d , packed + 64); + + /* adjust for sign */ + curve25519_swap_conditional(t->ysubx, t->xaddy, sign); + curve25519_neg(neg, t->t2d); + curve25519_swap_conditional(t->t2d, neg, sign); +} + +#endif /* HAVE_GE25519_SCALARMULT_BASE_CHOOSE_NIELS */ + + +/* computes [s]basepoint */ +static void +ge25519_scalarmult_base_niels(ge25519 *r, const uint8_t basepoint_table[256][96], const bignum256modm s) { + signed char b[64]; + uint32_t i; + ge25519_niels t; + + contract256_window4_modm(b, s); + + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[1]); + curve25519_sub_reduce(r->x, t.xaddy, t.ysubx); + curve25519_add_reduce(r->y, t.xaddy, t.ysubx); + memset(r->z, 0, sizeof(bignum25519)); + curve25519_copy(r->t, t.t2d); + r->z[0] = 2; + for (i = 3; i < 64; i += 2) { + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]); + ge25519_nielsadd2(r, &t); + } + ge25519_double_partial(r, r); + ge25519_double_partial(r, r); + ge25519_double_partial(r, r); + ge25519_double(r, r); + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, 0, b[0]); + curve25519_mul(t.t2d, t.t2d, ge25519_ecd); + ge25519_nielsadd2(r, &t); + for(i = 2; i < 64; i += 2) { + ge25519_scalarmult_base_choose_niels(&t, basepoint_table, i / 2, b[i]); + ge25519_nielsadd2(r, &t); + } +} + diff --git a/cbits/ed25519/ed25519-donna-portable-identify.h b/cbits/ed25519/ed25519-donna-portable-identify.h new file mode 100644 index 0000000..26a264c --- /dev/null +++ b/cbits/ed25519/ed25519-donna-portable-identify.h @@ -0,0 +1,103 @@ +/* os */ +#if defined(_WIN32) || defined(_WIN64) || defined(__TOS_WIN__) || defined(__WINDOWS__) + #define OS_WINDOWS +#elif defined(sun) || defined(__sun) || defined(__SVR4) || defined(__svr4__) + #define OS_SOLARIS +#else + #include /* need this to define BSD */ + #define OS_NIX + #if defined(__linux__) + #define OS_LINUX + #elif defined(BSD) + #define OS_BSD + #if defined(MACOS_X) || (defined(__APPLE__) & defined(__MACH__)) + #define OS_OSX + #elif defined(macintosh) || defined(Macintosh) + #define OS_MAC + #elif defined(__OpenBSD__) + #define OS_OPENBSD + #endif + #endif +#endif + + +/* compiler */ +#if defined(_MSC_VER) + #define COMPILER_MSVC +#endif +#if defined(__ICC) + #define COMPILER_INTEL +#endif +#if defined(__GNUC__) + #if (__GNUC__ >= 3) + #define COMPILER_GCC ((__GNUC__ * 10000) + (__GNUC_MINOR__ * 100) + (__GNUC_PATCHLEVEL__)) + #else + #define COMPILER_GCC ((__GNUC__ * 10000) + (__GNUC_MINOR__ * 100) ) + #endif +#endif +#if defined(__PATHCC__) + #define COMPILER_PATHCC +#endif +#if defined(__clang__) + #define COMPILER_CLANG ((__clang_major__ * 10000) + (__clang_minor__ * 100) + (__clang_patchlevel__)) +#endif + + + +/* cpu */ +#if defined(__amd64__) || defined(__amd64) || defined(__x86_64__ ) || defined(_M_X64) + #define CPU_X86_64 +#elif defined(__i586__) || defined(__i686__) || (defined(_M_IX86) && (_M_IX86 >= 500)) + #define CPU_X86 500 +#elif defined(__i486__) || (defined(_M_IX86) && (_M_IX86 >= 400)) + #define CPU_X86 400 +#elif defined(__i386__) || (defined(_M_IX86) && (_M_IX86 >= 300)) || defined(__X86__) || defined(_X86_) || defined(__I86__) + #define CPU_X86 300 +#elif defined(__ia64__) || defined(_IA64) || defined(__IA64__) || defined(_M_IA64) || defined(__ia64) + #define CPU_IA64 +#endif + +#if defined(__sparc__) || defined(__sparc) || defined(__sparcv9) + #define CPU_SPARC + #if defined(__sparcv9) + #define CPU_SPARC64 + #endif +#endif + +#if defined(powerpc) || defined(__PPC__) || defined(__ppc__) || defined(_ARCH_PPC) || defined(__powerpc__) || defined(__powerpc) || defined(POWERPC) || defined(_M_PPC) + #define CPU_PPC + #if defined(_ARCH_PWR7) + #define CPU_POWER7 + #elif defined(__64BIT__) + #define CPU_PPC64 + #else + #define CPU_PPC32 + #endif +#endif + +#if defined(__hppa__) || defined(__hppa) + #define CPU_HPPA +#endif + +#if defined(__alpha__) || defined(__alpha) || defined(_M_ALPHA) + #define CPU_ALPHA +#endif + +/* 64 bit cpu */ +#if defined(CPU_X86_64) || defined(CPU_IA64) || defined(CPU_SPARC64) || defined(__64BIT__) || defined(__LP64__) || defined(_LP64) || (defined(_MIPS_SZLONG) && (_MIPS_SZLONG == 64)) + #define CPU_64BITS +#endif + +#if defined(COMPILER_MSVC) + typedef signed char int8_t; + typedef unsigned char uint8_t; + typedef signed short int16_t; + typedef unsigned short uint16_t; + typedef signed int int32_t; + typedef unsigned int uint32_t; + typedef signed __int64 int64_t; + typedef unsigned __int64 uint64_t; +#else + #include +#endif + diff --git a/cbits/ed25519/ed25519-donna-portable.h b/cbits/ed25519/ed25519-donna-portable.h new file mode 100644 index 0000000..29e23f9 --- /dev/null +++ b/cbits/ed25519/ed25519-donna-portable.h @@ -0,0 +1,138 @@ +#include "ed25519-donna-portable-identify.h" + +#define mul32x32_64(a,b) (((uint64_t)(a))*(b)) + +/* platform */ +#if defined(COMPILER_MSVC) + #include + #if !defined(_DEBUG) + #undef mul32x32_64 + #define mul32x32_64(a,b) __emulu(a,b) + #endif + #undef inline + #define inline __forceinline + #define DONNA_INLINE __forceinline + #define DONNA_NOINLINE __declspec(noinline) + #define ALIGN(x) __declspec(align(x)) + #define ROTL32(a,b) _rotl(a,b) + #define ROTR32(a,b) _rotr(a,b) +#else + #include + #define DONNA_INLINE inline __attribute__((always_inline)) + #define DONNA_NOINLINE __attribute__((noinline)) + #ifdef ALIGN + #undef ALIGN + #endif + #define ALIGN(x) __attribute__((aligned(x))) + #define ROTL32(a,b) (((a) << (b)) | ((a) >> (32 - b))) + #define ROTR32(a,b) (((a) >> (b)) | ((a) << (32 - b))) +#endif + +/* uint128_t */ +#if defined(CPU_64BITS) && !defined(ED25519_FORCE_32BIT) + #if defined(COMPILER_CLANG) && (COMPILER_CLANG >= 30100) + #define HAVE_NATIVE_UINT128 + typedef unsigned __int128 uint128_t; + #elif defined(COMPILER_MSVC) + #define HAVE_UINT128 + typedef struct uint128_t { + uint64_t lo, hi; + } uint128_t; + #define mul64x64_128(out,a,b) out.lo = _umul128(a,b,&out.hi); + #define shr128_pair(out,hi,lo,shift) out = __shiftright128(lo, hi, shift); + #define shl128_pair(out,hi,lo,shift) out = __shiftleft128(lo, hi, shift); + #define shr128(out,in,shift) shr128_pair(out, in.hi, in.lo, shift) + #define shl128(out,in,shift) shl128_pair(out, in.hi, in.lo, shift) + #define add128(a,b) { uint64_t p = a.lo; a.lo += b.lo; a.hi += b.hi + (a.lo < p); } + #define add128_64(a,b) { uint64_t p = a.lo; a.lo += b; a.hi += (a.lo < p); } + #define lo128(a) (a.lo) + #define hi128(a) (a.hi) + #elif defined(COMPILER_GCC) && !defined(HAVE_NATIVE_UINT128) + #if defined(__SIZEOF_INT128__) + #define HAVE_NATIVE_UINT128 + typedef unsigned __int128 uint128_t; + #elif (COMPILER_GCC >= 40400) + #define HAVE_NATIVE_UINT128 + typedef unsigned uint128_t __attribute__((mode(TI))); + #elif defined(CPU_X86_64) + #define HAVE_UINT128 + typedef struct uint128_t { + uint64_t lo, hi; + } uint128_t; + #define mul64x64_128(out,a,b) __asm__ ("mulq %3" : "=a" (out.lo), "=d" (out.hi) : "a" (a), "rm" (b)); + #define shr128_pair(out,hi,lo,shift) __asm__ ("shrdq %2,%1,%0" : "+r" (lo) : "r" (hi), "J" (shift)); out = lo; + #define shl128_pair(out,hi,lo,shift) __asm__ ("shldq %2,%1,%0" : "+r" (hi) : "r" (lo), "J" (shift)); out = hi; + #define shr128(out,in,shift) shr128_pair(out,in.hi, in.lo, shift) + #define shl128(out,in,shift) shl128_pair(out,in.hi, in.lo, shift) + #define add128(a,b) __asm__ ("addq %4,%2; adcq %5,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b.lo), "rm" (b.hi) : "cc"); + #define add128_64(a,b) __asm__ ("addq %4,%2; adcq $0,%3" : "=r" (a.hi), "=r" (a.lo) : "1" (a.lo), "0" (a.hi), "rm" (b) : "cc"); + #define lo128(a) (a.lo) + #define hi128(a) (a.hi) + #endif + #endif + + #if defined(HAVE_NATIVE_UINT128) + #define HAVE_UINT128 + #define mul64x64_128(out,a,b) out = (uint128_t)a * b; + #define shr128_pair(out,hi,lo,shift) out = (uint64_t)((((uint128_t)hi << 64) | lo) >> (shift)); + #define shl128_pair(out,hi,lo,shift) out = (uint64_t)(((((uint128_t)hi << 64) | lo) << (shift)) >> 64); + #define shr128(out,in,shift) out = (uint64_t)(in >> (shift)); + #define shl128(out,in,shift) out = (uint64_t)((in << shift) >> 64); + #define add128(a,b) a += b; + #define add128_64(a,b) a += (uint64_t)b; + #define lo128(a) ((uint64_t)a) + #define hi128(a) ((uint64_t)(a >> 64)) + #endif + + #if !defined(HAVE_UINT128) + #error Need a uint128_t implementation! + #endif +#endif + +/* endian */ +#if !defined(ED25519_OPENSSLRNG) +static inline void U32TO8_LE(unsigned char *p, const uint32_t v) { + p[0] = (unsigned char)(v ); + p[1] = (unsigned char)(v >> 8); + p[2] = (unsigned char)(v >> 16); + p[3] = (unsigned char)(v >> 24); +} +#endif + +#if !defined(HAVE_UINT128) +static inline uint32_t U8TO32_LE(const unsigned char *p) { + return + (((uint32_t)(p[0]) ) | + ((uint32_t)(p[1]) << 8) | + ((uint32_t)(p[2]) << 16) | + ((uint32_t)(p[3]) << 24)); +} +#else +static inline uint64_t U8TO64_LE(const unsigned char *p) { + return + (((uint64_t)(p[0]) ) | + ((uint64_t)(p[1]) << 8) | + ((uint64_t)(p[2]) << 16) | + ((uint64_t)(p[3]) << 24) | + ((uint64_t)(p[4]) << 32) | + ((uint64_t)(p[5]) << 40) | + ((uint64_t)(p[6]) << 48) | + ((uint64_t)(p[7]) << 56)); +} + +static inline void U64TO8_LE(unsigned char *p, const uint64_t v) { + p[0] = (unsigned char)(v ); + p[1] = (unsigned char)(v >> 8); + p[2] = (unsigned char)(v >> 16); + p[3] = (unsigned char)(v >> 24); + p[4] = (unsigned char)(v >> 32); + p[5] = (unsigned char)(v >> 40); + p[6] = (unsigned char)(v >> 48); + p[7] = (unsigned char)(v >> 56); +} +#endif + +#include +#include + + diff --git a/cbits/ed25519/ed25519-donna.h b/cbits/ed25519/ed25519-donna.h new file mode 100644 index 0000000..de1120f --- /dev/null +++ b/cbits/ed25519/ed25519-donna.h @@ -0,0 +1,115 @@ +/* + Public domain by Andrew M. + Modified from the amd64-51-30k implementation by + Daniel J. Bernstein + Niels Duif + Tanja Lange + Peter Schwabe + Bo-Yin Yang +*/ + + +#include "ed25519-donna-portable.h" + +#if defined(ED25519_SSE2) +#else + #if defined(HAVE_UINT128) && !defined(ED25519_FORCE_32BIT) + #define ED25519_64BIT + #else + #define ED25519_32BIT + #endif +#endif + +#if !defined(ED25519_NO_INLINE_ASM) + /* detect extra features first so un-needed functions can be disabled throughout */ + #if defined(ED25519_SSE2) + #if defined(COMPILER_GCC) && defined(CPU_X86) + #define ED25519_GCC_32BIT_SSE_CHOOSE + #elif defined(COMPILER_GCC) && defined(CPU_X86_64) + #define ED25519_GCC_64BIT_SSE_CHOOSE + #endif + #else + #if defined(CPU_X86_64) + #if defined(COMPILER_GCC) + #if defined(ED25519_64BIT) + #define ED25519_GCC_64BIT_X86_CHOOSE + #else + #define ED25519_GCC_64BIT_32BIT_CHOOSE + #endif + #endif + #endif + #endif +#endif + +#if defined(ED25519_SSE2) + #include "curve25519-donna-sse2.h" +#elif defined(ED25519_64BIT) + #include "curve25519-donna-64bit.h" +#else + #include "curve25519-donna-32bit.h" +#endif + +#include "curve25519-donna-helpers.h" + +/* separate uint128 check for 64 bit sse2 */ +#if defined(HAVE_UINT128) && !defined(ED25519_FORCE_32BIT) + #include "modm-donna-64bit.h" +#else + #include "modm-donna-32bit.h" +#endif + +typedef unsigned char hash_512bits[64]; + +/* + Timing safe memory compare +*/ +static int +ed25519_verify(const unsigned char *x, const unsigned char *y, size_t len) { + size_t differentbits = 0; + while (len--) + differentbits |= (*x++ ^ *y++); + return (int) (1 & ((differentbits - 1) >> 8)); +} + + +/* + * Arithmetic on the twisted Edwards curve -x^2 + y^2 = 1 + dx^2y^2 + * with d = -(121665/121666) = 37095705934669439343138083508754565189542113879843219016388785533085940283555 + * Base point: (15112221349535400772501151409588531511454012693041857206046113283949847762202,46316835694926478169428394003475163141307993866256225615783033603165251855960); + */ + +typedef struct ge25519_t { + bignum25519 x, y, z, t; +} ge25519; + +typedef struct ge25519_p1p1_t { + bignum25519 x, y, z, t; +} ge25519_p1p1; + +typedef struct ge25519_niels_t { + bignum25519 ysubx, xaddy, t2d; +} ge25519_niels; + +typedef struct ge25519_pniels_t { + bignum25519 ysubx, xaddy, z, t2d; +} ge25519_pniels; + +#include "ed25519-donna-basepoint-table.h" + +#if defined(ED25519_64BIT) + #include "ed25519-donna-64bit-tables.h" + #include "ed25519-donna-64bit-x86.h" +#else + #include "ed25519-donna-32bit-tables.h" + #include "ed25519-donna-64bit-x86-32bit.h" +#endif + + +#if defined(ED25519_SSE2) + #include "ed25519-donna-32bit-sse2.h" + #include "ed25519-donna-64bit-sse2.h" + #include "ed25519-donna-impl-sse2.h" +#else + #include "ed25519-donna-impl-base.h" +#endif + diff --git a/cbits/ed25519/ed25519-hash.h b/cbits/ed25519/ed25519-hash.h new file mode 100644 index 0000000..2af0c71 --- /dev/null +++ b/cbits/ed25519/ed25519-hash.h @@ -0,0 +1,26 @@ +#include +typedef struct sha512_ctx ed25519_hash_context; + +static void +ed25519_hash_init(ed25519_hash_context *ctx) { + cryptonite_sha512_init(ctx); +} + +static void +ed25519_hash_update(ed25519_hash_context *ctx, const uint8_t *in, size_t inlen) { + cryptonite_sha512_update(ctx, in, inlen); +} + +static void +ed25519_hash_final(ed25519_hash_context *ctx, uint8_t *hash) { + cryptonite_sha512_finalize(ctx, hash); +} + +static void +ed25519_hash(uint8_t *hash, const uint8_t *in, size_t inlen) { + ed25519_hash_context ctx; + cryptonite_sha512_init(&ctx); + cryptonite_sha512_update(&ctx, in, inlen); + cryptonite_sha512_finalize(&ctx, hash); + memset(&ctx, 0, sizeof(ctx)); +} diff --git a/cbits/ed25519/ed25519-randombytes.h b/cbits/ed25519/ed25519-randombytes.h new file mode 100644 index 0000000..fa6a399 --- /dev/null +++ b/cbits/ed25519/ed25519-randombytes.h @@ -0,0 +1,4 @@ +void +ED25519_FN(ed25519_randombytes_unsafe) (void *p, size_t len) { + exit(1); +} diff --git a/cbits/ed25519/ed25519.c b/cbits/ed25519/ed25519.c new file mode 100644 index 0000000..fbf661c --- /dev/null +++ b/cbits/ed25519/ed25519.c @@ -0,0 +1,143 @@ +/* + Public domain by Andrew M. + + Ed25519 reference implementation using Ed25519-donna +*/ + + +#define ED25519_FN(fn) crypotnite_##fn + +#include "ed25519-donna.h" +#include "ed25519.h" +#include "ed25519-randombytes.h" +#include "ed25519-hash.h" + +/* + Generates a (extsk[0..31]) and aExt (extsk[32..63]) +*/ + +DONNA_INLINE static void +ed25519_extsk(hash_512bits extsk, const ed25519_secret_key sk) { + ed25519_hash(extsk, sk, 32); + extsk[0] &= 248; + extsk[31] &= 127; + extsk[31] |= 64; +} + +static void +ed25519_hram(hash_512bits hram, const ed25519_signature RS, const ed25519_public_key pk, const unsigned char *m, size_t mlen) { + ed25519_hash_context ctx; + ed25519_hash_init(&ctx); + ed25519_hash_update(&ctx, RS, 32); + ed25519_hash_update(&ctx, pk, 32); + ed25519_hash_update(&ctx, m, mlen); + ed25519_hash_final(&ctx, hram); +} + +void +ED25519_FN(ed25519_publickey) (const ed25519_secret_key sk, ed25519_public_key pk) { + bignum256modm a; + ge25519 ALIGN(16) A; + hash_512bits extsk; + + /* A = aB */ + ed25519_extsk(extsk, sk); + expand256_modm(a, extsk, 32); + ge25519_scalarmult_base_niels(&A, ge25519_niels_base_multiples, a); + ge25519_pack(pk, &A); +} + + +void +ED25519_FN(ed25519_sign) (const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS) { + ed25519_hash_context ctx; + bignum256modm r, S, a; + ge25519 ALIGN(16) R; + hash_512bits extsk, hashr, hram; + + ed25519_extsk(extsk, sk); + + /* r = H(aExt[32..64], m) */ + ed25519_hash_init(&ctx); + ed25519_hash_update(&ctx, extsk + 32, 32); + ed25519_hash_update(&ctx, m, mlen); + ed25519_hash_final(&ctx, hashr); + expand256_modm(r, hashr, 64); + + /* R = rB */ + ge25519_scalarmult_base_niels(&R, ge25519_niels_base_multiples, r); + ge25519_pack(RS, &R); + + /* S = H(R,A,m).. */ + ed25519_hram(hram, RS, pk, m, mlen); + expand256_modm(S, hram, 64); + + /* S = H(R,A,m)a */ + expand256_modm(a, extsk, 32); + mul256_modm(S, S, a); + + /* S = (r + H(R,A,m)a) */ + add256_modm(S, S, r); + + /* S = (r + H(R,A,m)a) mod L */ + contract256_modm(RS + 32, S); +} + +int +ED25519_FN(ed25519_sign_open) (const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS) { + ge25519 ALIGN(16) R, A; + hash_512bits hash; + bignum256modm hram, S; + unsigned char checkR[32]; + + if ((RS[63] & 224) || !ge25519_unpack_negative_vartime(&A, pk)) + return -1; + + /* hram = H(R,A,m) */ + ed25519_hram(hash, RS, pk, m, mlen); + expand256_modm(hram, hash, 64); + + /* S */ + expand256_modm(S, RS + 32, 32); + + /* SB - H(R,A,m)A */ + ge25519_double_scalarmult_vartime(&R, &A, hram, S); + ge25519_pack(checkR, &R); + + /* check that R = SB - H(R,A,m)A */ + return ed25519_verify(RS, checkR, 32) ? 0 : -1; +} + +#include "ed25519-donna-batchverify.h" + +/* + Fast Curve25519 basepoint scalar multiplication +*/ + +void +ED25519_FN(curved25519_scalarmult_basepoint) (curved25519_key pk, const curved25519_key e) { + curved25519_key ec; + bignum256modm s; + bignum25519 ALIGN(16) yplusz, zminusy; + ge25519 ALIGN(16) p; + size_t i; + + /* clamp */ + for (i = 0; i < 32; i++) ec[i] = e[i]; + ec[0] &= 248; + ec[31] &= 127; + ec[31] |= 64; + + expand_raw256_modm(s, ec); + + /* scalar * basepoint */ + ge25519_scalarmult_base_niels(&p, ge25519_niels_base_multiples, s); + + /* u = (y + z) / (z - y) */ + curve25519_add(yplusz, p.y, p.z); + curve25519_sub(zminusy, p.z, p.y); + curve25519_recip(zminusy, zminusy); + curve25519_mul(yplusz, yplusz, zminusy); + curve25519_contract(pk, yplusz); +} + diff --git a/cbits/ed25519/ed25519.h b/cbits/ed25519/ed25519.h new file mode 100644 index 0000000..3c32a7c --- /dev/null +++ b/cbits/ed25519/ed25519.h @@ -0,0 +1,30 @@ +#ifndef ED25519_H +#define ED25519_H + +#include + +#if defined(__cplusplus) +extern "C" { +#endif + +typedef unsigned char ed25519_signature[64]; +typedef unsigned char ed25519_public_key[32]; +typedef unsigned char ed25519_secret_key[32]; + +typedef unsigned char curved25519_key[32]; + +void cryptonite_ed25519_publickey(const ed25519_secret_key sk, ed25519_public_key pk); +int cryptonite_ed25519_sign_open(const unsigned char *m, size_t mlen, const ed25519_public_key pk, const ed25519_signature RS); +void cryptonite_ed25519_sign(const unsigned char *m, size_t mlen, const ed25519_secret_key sk, const ed25519_public_key pk, ed25519_signature RS); + +//int cryptonite_ed25519_sign_open_batch(const unsigned char **m, size_t *mlen, const unsigned char **pk, const unsigned char **RS, size_t num, int *valid); + +//void ed25519_randombytes_unsafe(void *out, size_t count); + +//void curved25519_scalarmult_basepoint(curved25519_key pk, const curved25519_key e); + +#if defined(__cplusplus) +} +#endif + +#endif // ED25519_H diff --git a/cbits/ed25519/modm-donna-64bit.h b/cbits/ed25519/modm-donna-64bit.h new file mode 100644 index 0000000..a47a38a --- /dev/null +++ b/cbits/ed25519/modm-donna-64bit.h @@ -0,0 +1,361 @@ +/* + Public domain by Andrew M. +*/ + + +/* + Arithmetic modulo the group order n = 2^252 + 27742317777372353535851937790883648493 = 7237005577332262213973186563042994240857116359379907606001950938285454250989 + + k = 32 + b = 1 << 8 = 256 + m = 2^252 + 27742317777372353535851937790883648493 = 0x1000000000000000000000000000000014def9dea2f79cd65812631a5cf5d3ed + mu = floor( b^(k*2) / m ) = 0xfffffffffffffffffffffffffffffffeb2106215d086329a7ed9ce5a30a2c131b +*/ + +#define bignum256modm_bits_per_limb 56 +#define bignum256modm_limb_size 5 + +typedef uint64_t bignum256modm_element_t; +typedef bignum256modm_element_t bignum256modm[5]; + +static const bignum256modm modm_m = { + 0x12631a5cf5d3ed, + 0xf9dea2f79cd658, + 0x000000000014de, + 0x00000000000000, + 0x00000010000000 +}; + +static const bignum256modm modm_mu = { + 0x9ce5a30a2c131b, + 0x215d086329a7ed, + 0xffffffffeb2106, + 0xffffffffffffff, + 0x00000fffffffff +}; + +static bignum256modm_element_t +lt_modm(bignum256modm_element_t a, bignum256modm_element_t b) { + return (a - b) >> 63; +} + +static void +reduce256_modm(bignum256modm r) { + bignum256modm t; + bignum256modm_element_t b = 0, pb, mask; + + /* t = r - m */ + pb = 0; + pb += modm_m[0]; b = lt_modm(r[0], pb); t[0] = (r[0] - pb + (b << 56)); pb = b; + pb += modm_m[1]; b = lt_modm(r[1], pb); t[1] = (r[1] - pb + (b << 56)); pb = b; + pb += modm_m[2]; b = lt_modm(r[2], pb); t[2] = (r[2] - pb + (b << 56)); pb = b; + pb += modm_m[3]; b = lt_modm(r[3], pb); t[3] = (r[3] - pb + (b << 56)); pb = b; + pb += modm_m[4]; b = lt_modm(r[4], pb); t[4] = (r[4] - pb + (b << 32)); + + /* keep r if r was smaller than m */ + mask = b - 1; + + r[0] ^= mask & (r[0] ^ t[0]); + r[1] ^= mask & (r[1] ^ t[1]); + r[2] ^= mask & (r[2] ^ t[2]); + r[3] ^= mask & (r[3] ^ t[3]); + r[4] ^= mask & (r[4] ^ t[4]); +} + +static void +barrett_reduce256_modm(bignum256modm r, const bignum256modm q1, const bignum256modm r1) { + bignum256modm q3, r2; + uint128_t c, mul; + bignum256modm_element_t f, b, pb; + + /* q1 = x >> 248 = 264 bits = 5 56 bit elements + q2 = mu * q1 + q3 = (q2 / 256(32+1)) = q2 / (2^8)^(32+1) = q2 >> 264 */ + mul64x64_128(c, modm_mu[0], q1[3]) mul64x64_128(mul, modm_mu[3], q1[0]) add128(c, mul) mul64x64_128(mul, modm_mu[1], q1[2]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[1]) add128(c, mul) shr128(f, c, 56); + mul64x64_128(c, modm_mu[0], q1[4]) add128_64(c, f) mul64x64_128(mul, modm_mu[4], q1[0]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[1]) add128(c, mul) mul64x64_128(mul, modm_mu[1], q1[3]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[2]) add128(c, mul) + f = lo128(c); q3[0] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[1]) add128_64(c, f) mul64x64_128(mul, modm_mu[1], q1[4]) add128(c, mul) mul64x64_128(mul, modm_mu[2], q1[3]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[2]) add128(c, mul) + f = lo128(c); q3[0] |= (f << 16) & 0xffffffffffffff; q3[1] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[2]) add128_64(c, f) mul64x64_128(mul, modm_mu[2], q1[4]) add128(c, mul) mul64x64_128(mul, modm_mu[3], q1[3]) add128(c, mul) + f = lo128(c); q3[1] |= (f << 16) & 0xffffffffffffff; q3[2] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[3]) add128_64(c, f) mul64x64_128(mul, modm_mu[3], q1[4]) add128(c, mul) + f = lo128(c); q3[2] |= (f << 16) & 0xffffffffffffff; q3[3] = (f >> 40) & 0xffff; shr128(f, c, 56); + mul64x64_128(c, modm_mu[4], q1[4]) add128_64(c, f) + f = lo128(c); q3[3] |= (f << 16) & 0xffffffffffffff; q3[4] = (f >> 40) & 0xffff; shr128(f, c, 56); + q3[4] |= (f << 16); + + mul64x64_128(c, modm_m[0], q3[0]) + r2[0] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[1]) add128_64(c, f) mul64x64_128(mul, modm_m[1], q3[0]) add128(c, mul) + r2[1] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[2]) add128_64(c, f) mul64x64_128(mul, modm_m[2], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[1]) add128(c, mul) + r2[2] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[3]) add128_64(c, f) mul64x64_128(mul, modm_m[3], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[2]) add128(c, mul) mul64x64_128(mul, modm_m[2], q3[1]) add128(c, mul) + r2[3] = lo128(c) & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, modm_m[0], q3[4]) add128_64(c, f) mul64x64_128(mul, modm_m[4], q3[0]) add128(c, mul) mul64x64_128(mul, modm_m[3], q3[1]) add128(c, mul) mul64x64_128(mul, modm_m[1], q3[3]) add128(c, mul) mul64x64_128(mul, modm_m[2], q3[2]) add128(c, mul) + r2[4] = lo128(c) & 0x0000ffffffffff; + + pb = 0; + pb += r2[0]; b = lt_modm(r1[0], pb); r[0] = (r1[0] - pb + (b << 56)); pb = b; + pb += r2[1]; b = lt_modm(r1[1], pb); r[1] = (r1[1] - pb + (b << 56)); pb = b; + pb += r2[2]; b = lt_modm(r1[2], pb); r[2] = (r1[2] - pb + (b << 56)); pb = b; + pb += r2[3]; b = lt_modm(r1[3], pb); r[3] = (r1[3] - pb + (b << 56)); pb = b; + pb += r2[4]; b = lt_modm(r1[4], pb); r[4] = (r1[4] - pb + (b << 40)); + + reduce256_modm(r); + reduce256_modm(r); +} + + +static void +add256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) { + bignum256modm_element_t c; + + c = x[0] + y[0]; r[0] = c & 0xffffffffffffff; c >>= 56; + c += x[1] + y[1]; r[1] = c & 0xffffffffffffff; c >>= 56; + c += x[2] + y[2]; r[2] = c & 0xffffffffffffff; c >>= 56; + c += x[3] + y[3]; r[3] = c & 0xffffffffffffff; c >>= 56; + c += x[4] + y[4]; r[4] = c; + + reduce256_modm(r); +} + +static void +mul256_modm(bignum256modm r, const bignum256modm x, const bignum256modm y) { + bignum256modm q1, r1; + uint128_t c, mul; + bignum256modm_element_t f; + + mul64x64_128(c, x[0], y[0]) + f = lo128(c); r1[0] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[1]) add128_64(c, f) mul64x64_128(mul, x[1], y[0]) add128(c, mul) + f = lo128(c); r1[1] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[2]) add128_64(c, f) mul64x64_128(mul, x[2], y[0]) add128(c, mul) mul64x64_128(mul, x[1], y[1]) add128(c, mul) + f = lo128(c); r1[2] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[3]) add128_64(c, f) mul64x64_128(mul, x[3], y[0]) add128(c, mul) mul64x64_128(mul, x[1], y[2]) add128(c, mul) mul64x64_128(mul, x[2], y[1]) add128(c, mul) + f = lo128(c); r1[3] = f & 0xffffffffffffff; shr128(f, c, 56); + mul64x64_128(c, x[0], y[4]) add128_64(c, f) mul64x64_128(mul, x[4], y[0]) add128(c, mul) mul64x64_128(mul, x[3], y[1]) add128(c, mul) mul64x64_128(mul, x[1], y[3]) add128(c, mul) mul64x64_128(mul, x[2], y[2]) add128(c, mul) + f = lo128(c); r1[4] = f & 0x0000ffffffffff; q1[0] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[1]) add128_64(c, f) mul64x64_128(mul, x[1], y[4]) add128(c, mul) mul64x64_128(mul, x[2], y[3]) add128(c, mul) mul64x64_128(mul, x[3], y[2]) add128(c, mul) + f = lo128(c); q1[0] |= (f << 32) & 0xffffffffffffff; q1[1] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[2]) add128_64(c, f) mul64x64_128(mul, x[2], y[4]) add128(c, mul) mul64x64_128(mul, x[3], y[3]) add128(c, mul) + f = lo128(c); q1[1] |= (f << 32) & 0xffffffffffffff; q1[2] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[3]) add128_64(c, f) mul64x64_128(mul, x[3], y[4]) add128(c, mul) + f = lo128(c); q1[2] |= (f << 32) & 0xffffffffffffff; q1[3] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + mul64x64_128(c, x[4], y[4]) add128_64(c, f) + f = lo128(c); q1[3] |= (f << 32) & 0xffffffffffffff; q1[4] = (f >> 24) & 0xffffffff; shr128(f, c, 56); + q1[4] |= (f << 32); + + barrett_reduce256_modm(r, q1, r1); +} + +static void +expand256_modm(bignum256modm out, const unsigned char *in, size_t len) { + unsigned char work[64] = {0}; + bignum256modm_element_t x[16]; + bignum256modm q1; + + memcpy(work, in, len); + x[0] = U8TO64_LE(work + 0); + x[1] = U8TO64_LE(work + 8); + x[2] = U8TO64_LE(work + 16); + x[3] = U8TO64_LE(work + 24); + x[4] = U8TO64_LE(work + 32); + x[5] = U8TO64_LE(work + 40); + x[6] = U8TO64_LE(work + 48); + x[7] = U8TO64_LE(work + 56); + + /* r1 = (x mod 256^(32+1)) = x mod (2^8)(31+1) = x & ((1 << 264) - 1) */ + out[0] = ( x[0]) & 0xffffffffffffff; + out[1] = ((x[ 0] >> 56) | (x[ 1] << 8)) & 0xffffffffffffff; + out[2] = ((x[ 1] >> 48) | (x[ 2] << 16)) & 0xffffffffffffff; + out[3] = ((x[ 2] >> 40) | (x[ 3] << 24)) & 0xffffffffffffff; + out[4] = ((x[ 3] >> 32) | (x[ 4] << 32)) & 0x0000ffffffffff; + + /* under 252 bits, no need to reduce */ + if (len < 32) + return; + + /* q1 = x >> 248 = 264 bits */ + q1[0] = ((x[ 3] >> 56) | (x[ 4] << 8)) & 0xffffffffffffff; + q1[1] = ((x[ 4] >> 48) | (x[ 5] << 16)) & 0xffffffffffffff; + q1[2] = ((x[ 5] >> 40) | (x[ 6] << 24)) & 0xffffffffffffff; + q1[3] = ((x[ 6] >> 32) | (x[ 7] << 32)) & 0xffffffffffffff; + q1[4] = ((x[ 7] >> 24) ); + + barrett_reduce256_modm(out, q1, out); +} + +static void +expand_raw256_modm(bignum256modm out, const unsigned char in[32]) { + bignum256modm_element_t x[4]; + + x[0] = U8TO64_LE(in + 0); + x[1] = U8TO64_LE(in + 8); + x[2] = U8TO64_LE(in + 16); + x[3] = U8TO64_LE(in + 24); + + out[0] = ( x[0]) & 0xffffffffffffff; + out[1] = ((x[ 0] >> 56) | (x[ 1] << 8)) & 0xffffffffffffff; + out[2] = ((x[ 1] >> 48) | (x[ 2] << 16)) & 0xffffffffffffff; + out[3] = ((x[ 2] >> 40) | (x[ 3] << 24)) & 0xffffffffffffff; + out[4] = ((x[ 3] >> 32) ) & 0x000000ffffffff; +} + +static void +contract256_modm(unsigned char out[32], const bignum256modm in) { + U64TO8_LE(out + 0, (in[0] ) | (in[1] << 56)); + U64TO8_LE(out + 8, (in[1] >> 8) | (in[2] << 48)); + U64TO8_LE(out + 16, (in[2] >> 16) | (in[3] << 40)); + U64TO8_LE(out + 24, (in[3] >> 24) | (in[4] << 32)); +} + +static void +contract256_window4_modm(signed char r[64], const bignum256modm in) { + char carry; + signed char *quads = r; + bignum256modm_element_t i, j, v, m; + + for (i = 0; i < 5; i++) { + v = in[i]; + m = (i == 4) ? 8 : 14; + for (j = 0; j < m; j++) { + *quads++ = (v & 15); + v >>= 4; + } + } + + /* making it signed */ + carry = 0; + for(i = 0; i < 63; i++) { + r[i] += carry; + r[i+1] += (r[i] >> 4); + r[i] &= 15; + carry = (r[i] >> 3); + r[i] -= (carry << 4); + } + r[63] += carry; +} + +static void +contract256_slidingwindow_modm(signed char r[256], const bignum256modm s, int windowsize) { + int i,j,k,b; + int m = (1 << (windowsize - 1)) - 1, soplen = 256; + signed char *bits = r; + bignum256modm_element_t v; + + /* first put the binary expansion into r */ + for (i = 0; i < 4; i++) { + v = s[i]; + for (j = 0; j < 56; j++, v >>= 1) + *bits++ = (v & 1); + } + v = s[4]; + for (j = 0; j < 32; j++, v >>= 1) + *bits++ = (v & 1); + + /* Making it sliding window */ + for (j = 0; j < soplen; j++) { + if (!r[j]) + continue; + + for (b = 1; (b < (soplen - j)) && (b <= 6); b++) { + if ((r[j] + (r[j + b] << b)) <= m) { + r[j] += r[j + b] << b; + r[j + b] = 0; + } else if ((r[j] - (r[j + b] << b)) >= -m) { + r[j] -= r[j + b] << b; + for (k = j + b; k < soplen; k++) { + if (!r[k]) { + r[k] = 1; + break; + } + r[k] = 0; + } + } else if (r[j + b]) { + break; + } + } + } +} + +/* + helpers for batch verifcation, are allowed to be vartime +*/ + +/* out = a - b, a must be larger than b */ +static void +sub256_modm_batch(bignum256modm out, const bignum256modm a, const bignum256modm b, size_t limbsize) { + size_t i = 0; + bignum256modm_element_t carry = 0; + switch (limbsize) { + case 4: out[i] = (a[i] - b[i]) ; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++; + case 3: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++; + case 2: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++; + case 1: out[i] = (a[i] - b[i]) - carry; carry = (out[i] >> 63); out[i] &= 0xffffffffffffff; i++; + case 0: + default: out[i] = (a[i] - b[i]) - carry; + } +} + + +/* is a < b */ +static int +lt256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) { + size_t i = 0; + bignum256modm_element_t t, carry = 0; + switch (limbsize) { + case 4: t = (a[i] - b[i]) ; carry = (t >> 63); i++; + case 3: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++; + case 2: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++; + case 1: t = (a[i] - b[i]) - carry; carry = (t >> 63); i++; + case 0: t = (a[i] - b[i]) - carry; carry = (t >> 63); + } + return (int)carry; +} + +/* is a <= b */ +static int +lte256_modm_batch(const bignum256modm a, const bignum256modm b, size_t limbsize) { + size_t i = 0; + bignum256modm_element_t t, carry = 0; + switch (limbsize) { + case 4: t = (b[i] - a[i]) ; carry = (t >> 63); i++; + case 3: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++; + case 2: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++; + case 1: t = (b[i] - a[i]) - carry; carry = (t >> 63); i++; + case 0: t = (b[i] - a[i]) - carry; carry = (t >> 63); + } + return (int)!carry; +} + +/* is a == 0 */ +static int +iszero256_modm_batch(const bignum256modm a) { + size_t i; + for (i = 0; i < 5; i++) + if (a[i]) + return 0; + return 1; +} + +/* is a == 1 */ +static int +isone256_modm_batch(const bignum256modm a) { + size_t i; + for (i = 0; i < 5; i++) + if (a[i] != ((i) ? 0 : 1)) + return 0; + return 1; +} + +/* can a fit in to (at most) 128 bits */ +static int +isatmost128bits256_modm_batch(const bignum256modm a) { + uint64_t mask = + ((a[4] ) | /* 32 */ + (a[3] ) | /* 88 */ + (a[2] & 0xffffffffff0000)); + + return (mask == 0); +} diff --git a/cryptonite.cabal b/cryptonite.cabal index 8d9557c..c5b69b3 100644 --- a/cryptonite.cabal +++ b/cryptonite.cabal @@ -148,6 +148,7 @@ Library , cbits/aes/gf.c , cbits/cryptonite_aes.c , cbits/curve25519/curve25519-donna.c + , cbits/ed25519/ed25519.c , cbits/cryptonite_poly1305.c , cbits/cryptonite_sha1.c , cbits/cryptonite_sha256.c @@ -163,7 +164,7 @@ Library , cbits/cryptonite_tiger.c , cbits/cryptonite_whirlpool.c , cbits/cryptonite_scrypt.c - include-dirs: cbits + include-dirs: cbits cbits/ed25519 -- FIXME armel or mispel is also little endian. -- might be a good idea to also add a runtime autodetect mode. From d595c01c092e50ea5ec38f0c10694c615f835ea7 Mon Sep 17 00:00:00 2001 From: Vincent Hanquez Date: Sun, 19 Apr 2015 09:21:19 +0100 Subject: [PATCH 2/8] [Ed25519] typo in C file --- cbits/ed25519/ed25519.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/cbits/ed25519/ed25519.c b/cbits/ed25519/ed25519.c index fbf661c..e70ed7c 100644 --- a/cbits/ed25519/ed25519.c +++ b/cbits/ed25519/ed25519.c @@ -5,7 +5,7 @@ */ -#define ED25519_FN(fn) crypotnite_##fn +#define ED25519_FN(fn) cryptonite_##fn #include "ed25519-donna.h" #include "ed25519.h" From be42fec6e5450975094a3e2542c5ffe626551f10 Mon Sep 17 00:00:00 2001 From: Vincent Hanquez Date: Sun, 19 Apr 2015 09:21:48 +0100 Subject: [PATCH 3/8] [Internal] properly define ByteArrayCopy functions to only requires ByteArrayAccess from the source --- Crypto/Internal/ByteArray.hs | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/Crypto/Internal/ByteArray.hs b/Crypto/Internal/ByteArray.hs index 63c458a..7960869 100644 --- a/Crypto/Internal/ByteArray.hs +++ b/Crypto/Internal/ByteArray.hs @@ -130,19 +130,19 @@ byteArrayConcat allBs = byteArrayAllocAndFreeze total (loop allBs) withByteArray b $ \p -> bufCopy dst p sz loop bs (dst `plusPtr` sz) -byteArrayCopy :: (ByteArray bs1, ByteArray bs2) => bs1 -> (Ptr p -> IO ()) -> IO bs2 +byteArrayCopy :: (ByteArrayAccess bs1, ByteArray bs2) => bs1 -> (Ptr p -> IO ()) -> IO bs2 byteArrayCopy bs f = byteArrayAlloc (byteArrayLength bs) $ \d -> do withByteArray bs $ \s -> bufCopy d s (byteArrayLength bs) f (castPtr d) -byteArrayCopyRet :: (ByteArray bs1, ByteArray bs2) => bs1 -> (Ptr p -> IO a) -> IO (a, bs2) +byteArrayCopyRet :: (ByteArrayAccess bs1, ByteArray bs2) => bs1 -> (Ptr p -> IO a) -> IO (a, bs2) byteArrayCopyRet bs f = byteArrayAllocRet (byteArrayLength bs) $ \d -> do withByteArray bs $ \s -> bufCopy d s (byteArrayLength bs) f (castPtr d) -byteArrayCopyAndFreeze :: (ByteArray bs1, ByteArray bs2) => bs1 -> (Ptr p -> IO ()) -> bs2 +byteArrayCopyAndFreeze :: (ByteArrayAccess bs1, ByteArray bs2) => bs1 -> (Ptr p -> IO ()) -> bs2 byteArrayCopyAndFreeze bs f = byteArrayAllocAndFreeze (byteArrayLength bs) $ \d -> do withByteArray bs $ \s -> bufCopy d s (byteArrayLength bs) From 3713c585fe524901b2b81923aa8f602956060d30 Mon Sep 17 00:00:00 2001 From: Vincent Hanquez Date: Sun, 19 Apr 2015 09:22:41 +0100 Subject: [PATCH 4/8] [Internal] add a utility to dump byte array in hexadecimal --- Crypto/Internal/Hex.hs | 57 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 57 insertions(+) create mode 100644 Crypto/Internal/Hex.hs diff --git a/Crypto/Internal/Hex.hs b/Crypto/Internal/Hex.hs new file mode 100644 index 0000000..be6768c --- /dev/null +++ b/Crypto/Internal/Hex.hs @@ -0,0 +1,57 @@ +-- | +-- Module : Crypto.Internal.Hex +-- License : BSD-style +-- Maintainer : Vincent Hanquez +-- Stability : experimental +-- Portability : unknown +-- +-- Hexadecimal escaper +-- +{-# LANGUAGE MagicHash #-} +{-# LANGUAGE UnboxedTuples #-} +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE BangPatterns #-} +module Crypto.Internal.Hex + ( showHexadecimal + ) where + +import Crypto.Internal.Compat +import Data.Word +import GHC.Prim +import GHC.Types +import Foreign.Storable +import Foreign.Ptr (Ptr) + +showHexadecimal :: Ptr Word8 -> Int -> String +showHexadecimal ptr len = loop 0 + where + loop i + | i == len = [] + | otherwise = + let b = fromIntegral (byteIndex i) + in toEnum (r tableHi b) : toEnum (r tableLo b) : loop (i+1) + + byteIndex :: Int -> Word8 + byteIndex i = unsafeDoIO (peekByteOff ptr i) + + r :: Addr# -> Int -> Int + r table (I# index) = I# (word2Int# (indexWord8OffAddr# table index)) + + !tableLo = + "0123456789abcdef0123456789abcdef\ + \0123456789abcdef0123456789abcdef\ + \0123456789abcdef0123456789abcdef\ + \0123456789abcdef0123456789abcdef\ + \0123456789abcdef0123456789abcdef\ + \0123456789abcdef0123456789abcdef\ + \0123456789abcdef0123456789abcdef\ + \0123456789abcdef0123456789abcdef"# + !tableHi = + "00000000000000001111111111111111\ + \22222222222222223333333333333333\ + \44444444444444445555555555555555\ + \66666666666666667777777777777777\ + \88888888888888889999999999999999\ + \aaaaaaaaaaaaaaaabbbbbbbbbbbbbbbb\ + \ccccccccccccccccdddddddddddddddd\ + \eeeeeeeeeeeeeeeeffffffffffffffff"# From fd13a4f0e238fd53d32db37a33acfd5c799c9f14 Mon Sep 17 00:00:00 2001 From: Vincent Hanquez Date: Sun, 19 Apr 2015 09:23:09 +0100 Subject: [PATCH 5/8] [Internal] add new hexadecimal dumper in the list of internal module --- cryptonite.cabal | 1 + 1 file changed, 1 insertion(+) diff --git a/cryptonite.cabal b/cryptonite.cabal index c5b69b3..94bb9d4 100644 --- a/cryptonite.cabal +++ b/cryptonite.cabal @@ -129,6 +129,7 @@ Library Crypto.Internal.CompatPrim Crypto.Internal.Bytes Crypto.Internal.Endian + Crypto.Internal.Hex Crypto.Internal.Imports Crypto.Internal.Memory Crypto.Internal.Words From 6e79d33e9fad5970decb07ea4fc2902e8e5d74c4 Mon Sep 17 00:00:00 2001 From: Vincent Hanquez Date: Sun, 19 Apr 2015 09:23:34 +0100 Subject: [PATCH 6/8] [Internal] Improve Bytes define Show and Eq instances, and add bytesIndex --- Crypto/Internal/Memory.hs | 39 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 39 insertions(+) diff --git a/Crypto/Internal/Memory.hs b/Crypto/Internal/Memory.hs index d72928d..cb10e72 100644 --- a/Crypto/Internal/Memory.hs +++ b/Crypto/Internal/Memory.hs @@ -18,20 +18,31 @@ module Crypto.Internal.Memory , bytesAlloc , bytesAllocRet , bytesLength + , bytesIndex , withBytes , SecureBytes ) where import GHC.Types import GHC.Prim +import GHC.Word import GHC.Ptr +import Data.Word (Word8) import Foreign.Marshal.Utils (copyBytes) import Data.SecureMem (SecureMem) +import Crypto.Internal.CompatPrim +import Crypto.Internal.Compat (unsafeDoIO) +import Crypto.Internal.Hex (showHexadecimal) data Bytes = Bytes (MutableByteArray# RealWorld) type SecureBytes = SecureMem +instance Show Bytes where + show = bytesShowHex +instance Eq Bytes where + (==) = bytesEq + ------------------------------------------------------------------------ newBytes :: Int -> IO Bytes newBytes (I# sz) = IO $ \s -> @@ -87,3 +98,31 @@ bytesLength = sizeofBytes withBytes :: Bytes -> (Ptr p -> IO a) -> IO a withBytes = withPtr + +bytesEq :: Bytes -> Bytes -> Bool +bytesEq b1@(Bytes m1) b2@(Bytes m2) + | l1 /= l2 = False + | otherwise = unsafeDoIO $ IO $ \s -> loop 0# s + where + !l1@(I# len) = bytesLength b1 + !l2 = bytesLength b2 + + loop i s + | booleanPrim (i ==# len) = (# s, True #) + | otherwise = + case readWord8Array# m1 i s of + (# s', e1 #) -> case readWord8Array# m2 i s' of + (# s'', e2 #) -> + if booleanPrim (eqWord# e1 e2) + then loop (i +# 1#) s'' + else (# s', False #) + +bytesIndex :: Bytes -> Int -> Word8 +bytesIndex (Bytes m) (I# i) = unsafeDoIO $ IO $ \s -> + case readWord8Array# m i s of + (# s', e #) -> (# s', W8# e #) +{-# NOINLINE bytesIndex #-} + +bytesShowHex :: Bytes -> String +bytesShowHex b = unsafeDoIO $ withPtr b $ \p -> return $ showHexadecimal p (bytesLength b) +{-# NOINLINE bytesShowHex #-} From 655d8b9c338a087683f5b11db660bceb3f064812 Mon Sep 17 00:00:00 2001 From: Vincent Hanquez Date: Sun, 19 Apr 2015 09:24:21 +0100 Subject: [PATCH 7/8] [Error] Add new public key error values --- Crypto/Error/Types.hs | 4 ++++ cryptonite.cabal | 1 - 2 files changed, 4 insertions(+), 1 deletion(-) diff --git a/Crypto/Error/Types.hs b/Crypto/Error/Types.hs index 368f5ef..225660c 100644 --- a/Crypto/Error/Types.hs +++ b/Crypto/Error/Types.hs @@ -29,6 +29,10 @@ data CryptoError = CryptoError_KeySizeInvalid | CryptoError_IvSizeInvalid | CryptoError_AEADModeNotSupported + -- public key cryptography error + | CryptoError_SecretKeySizeInvalid + | CryptoError_SecretKeyStructureInvalid + | CryptoError_PublicKeySizeInvalid deriving (Show,Eq,Enum,Data,Typeable) instance E.Exception CryptoError diff --git a/cryptonite.cabal b/cryptonite.cabal index 94bb9d4..c5b69b3 100644 --- a/cryptonite.cabal +++ b/cryptonite.cabal @@ -129,7 +129,6 @@ Library Crypto.Internal.CompatPrim Crypto.Internal.Bytes Crypto.Internal.Endian - Crypto.Internal.Hex Crypto.Internal.Imports Crypto.Internal.Memory Crypto.Internal.Words From 0aaa6a9e9ac744f142e006f1bcb03b7615760bee Mon Sep 17 00:00:00 2001 From: Vincent Hanquez Date: Sun, 19 Apr 2015 09:24:37 +0100 Subject: [PATCH 8/8] [Ed25519] Add haskell bindings and tests --- Crypto/PubKey/Ed25519.hs | 139 +++++++++++++++++++++++++++++++++++++++ cryptonite.cabal | 2 + tests/KAT_Ed25519.hs | 38 +++++++++++ tests/Tests.hs | 2 + 4 files changed, 181 insertions(+) create mode 100644 Crypto/PubKey/Ed25519.hs create mode 100644 tests/KAT_Ed25519.hs diff --git a/Crypto/PubKey/Ed25519.hs b/Crypto/PubKey/Ed25519.hs new file mode 100644 index 0000000..45651a3 --- /dev/null +++ b/Crypto/PubKey/Ed25519.hs @@ -0,0 +1,139 @@ +-- | +-- Module : Crypto.PubKey.Ed25519 +-- License : BSD-style +-- Maintainer : Vincent Hanquez +-- Stability : experimental +-- Portability : unknown +-- +-- Ed25519 support +-- +{-# LANGUAGE GeneralizedNewtypeDeriving #-} +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE BangPatterns #-} +module Crypto.PubKey.Ed25519 + ( SecretKey + , PublicKey + , Signature + -- * Smart constructors + , signature + , publicKey + , secretKey + -- * methods + , toPublic + , sign + , verify + ) where + +import Data.Word +import Foreign.Ptr +import Foreign.C.Types + +import Crypto.Internal.Compat +import Crypto.Internal.Imports +import Crypto.Internal.Memory +import Crypto.Internal.ByteArray +import Crypto.Error +import Data.ByteString (ByteString) + +-- | An Ed25519 Secret key +newtype SecretKey = SecretKey SecureBytes + deriving (Eq,ByteArrayAccess) + +-- | An Ed25519 public key +newtype PublicKey = PublicKey Bytes + deriving (Show,Eq,ByteArrayAccess) + +-- | An Ed25519 signature +newtype Signature = Signature Bytes + deriving (Show,Eq,ByteArrayAccess) + +-- | Try to build a public key from a bytearray +publicKey :: ByteArrayAccess ba => ba -> CryptoFailable PublicKey +publicKey bs + | byteArrayLength bs == publicKeySize = + CryptoPassed $ PublicKey $ byteArrayCopyAndFreeze bs (\_ -> return ()) + | otherwise = + CryptoFailed $ CryptoError_PublicKeySizeInvalid + +-- | Try to build a secret key from a bytearray +secretKey :: ByteArrayAccess ba => ba -> CryptoFailable SecretKey +secretKey bs + | byteArrayLength bs == secretKeySize = unsafeDoIO $ do + withByteArray bs $ \inp -> do + valid <- isValidPtr inp + if valid + then CryptoPassed . SecretKey <$> byteArrayCopy bs (\_ -> return ()) + else return $ CryptoFailed CryptoError_SecretKeyStructureInvalid + | otherwise = CryptoFailed CryptoError_SecretKeyStructureInvalid + where + isValidPtr :: Ptr Word8 -> IO Bool + isValidPtr _ = do + return True +{-# NOINLINE secretKey #-} + +-- | Try to build a signature from a bytearray +signature :: ByteArrayAccess ba => ba -> CryptoFailable Signature +signature bs + | byteArrayLength bs == signatureSize = + CryptoPassed $ Signature $ byteArrayCopyAndFreeze bs (\_ -> return ()) + | otherwise = + CryptoFailed CryptoError_SecretKeyStructureInvalid + +-- | Create a public key from a secret key +toPublic :: SecretKey -> PublicKey +toPublic (SecretKey sec) = PublicKey <$> + byteArrayAllocAndFreeze publicKeySize $ \result -> + withByteArray sec $ \psec -> + ccryptonite_ed25519_publickey psec result +{-# NOINLINE toPublic #-} + +-- | Sign a message using the key pair +sign :: ByteArrayAccess ba => SecretKey -> PublicKey -> ba -> Signature +sign secret public message = + Signature $ byteArrayAllocAndFreeze signatureSize $ \sig -> + withByteArray secret $ \sec -> + withByteArray public $ \pub -> + withByteArray message $ \msg -> + ccryptonite_ed25519_sign msg (fromIntegral msgLen) sec pub sig + where + !msgLen = byteArrayLength message + +-- | Verify a message +verify :: ByteArrayAccess ba => PublicKey -> ba -> Signature -> Bool +verify public message signatureVal = unsafeDoIO $ + withByteArray signatureVal $ \sig -> + withByteArray public $ \pub -> + withByteArray message $ \msg -> do + r <- ccryptonite_ed25519_sign_open msg (fromIntegral msgLen) pub sig + return (r == 0) + where + !msgLen = byteArrayLength message + +publicKeySize :: Int +publicKeySize = 32 + +secretKeySize :: Int +secretKeySize = 32 + +signatureSize :: Int +signatureSize = 64 + +foreign import ccall "cryptonite_ed25519_publickey" + ccryptonite_ed25519_publickey :: Ptr SecretKey -- secret key + -> Ptr PublicKey -- public key + -> IO () + +foreign import ccall "cryptonite_ed25519_sign_open" + ccryptonite_ed25519_sign_open :: Ptr Word8 -- message + -> CSize -- message len + -> Ptr PublicKey -- public + -> Ptr Signature -- signature + -> IO CInt + +foreign import ccall "cryptonite_ed25519_sign" + ccryptonite_ed25519_sign :: Ptr Word8 -- message + -> CSize -- message len + -> Ptr SecretKey -- secret + -> Ptr PublicKey -- public + -> Ptr Signature -- signature + -> IO () diff --git a/cryptonite.cabal b/cryptonite.cabal index c5b69b3..a35cb54 100644 --- a/cryptonite.cabal +++ b/cryptonite.cabal @@ -76,6 +76,7 @@ Library Crypto.PubKey.ECC.DH Crypto.PubKey.ECC.ECDSA Crypto.PubKey.ECC.Types + Crypto.PubKey.Ed25519 Crypto.PubKey.RSA Crypto.PubKey.RSA.PKCS15 Crypto.PubKey.RSA.Prim @@ -129,6 +130,7 @@ Library Crypto.Internal.CompatPrim Crypto.Internal.Bytes Crypto.Internal.Endian + Crypto.Internal.Hex Crypto.Internal.Imports Crypto.Internal.Memory Crypto.Internal.Words diff --git a/tests/KAT_Ed25519.hs b/tests/KAT_Ed25519.hs new file mode 100644 index 0000000..522f88f --- /dev/null +++ b/tests/KAT_Ed25519.hs @@ -0,0 +1,38 @@ +{-# LANGUAGE OverloadedStrings #-} +{-# LANGUAGE BangPatterns #-} +module KAT_Ed25519 ( tests ) where + +import Crypto.Error +import qualified Crypto.PubKey.Ed25519 as Ed25519 +import Imports + +data Vec = Vec + { vecSec :: ByteString + , vecPub :: ByteString + , vecMsg :: ByteString + , vecSig :: ByteString + } deriving (Show,Eq) + +vec1 = Vec + { vecSec = "\x4c\xcd\x08\x9b\x28\xff\x96\xda\x9d\xb6\xc3\x46\xec\x11\x4e\x0f\x5b\x8a\x31\x9f\x35\xab\xa6\x24\xda\x8c\xf6\xed\x4f\xb8\xa6\xfb" + , vecPub = "\x3d\x40\x17\xc3\xe8\x43\x89\x5a\x92\xb7\x0a\xa7\x4d\x1b\x7e\xbc\x9c\x98\x2c\xcf\x2e\xc4\x96\x8c\xc0\xcd\x55\xf1\x2a\xf4\x66\x0c" + , vecMsg = "\x72" + , vecSig = "\x92\xa0\x09\xa9\xf0\xd4\xca\xb8\x72\x0e\x82\x0b\x5f\x64\x25\x40\xa2\xb2\x7b\x54\x16\x50\x3f\x8f\xb3\x76\x22\x23\xeb\xdb\x69\xda\x08\x5a\xc1\xe4\x3e\x15\x99\x6e\x45\x8f\x36\x13\xd0\xf1\x1d\x8c\x38\x7b\x2e\xae\xb4\x30\x2a\xee\xb0\x0d\x29\x16\x12\xbb\x0c\x00" + } + +testVec :: String -> Vec -> [TestTree] +testVec s vec = + [ testCase (s ++ " gen publickey") (pub @=? Ed25519.toPublic sec) + , testCase (s ++ " gen signature") (sig @=? Ed25519.sign sec pub (vecMsg vec)) + ] + where + !sig = throwCryptoError $ Ed25519.signature (vecSig vec) + !pub = throwCryptoError $ Ed25519.publicKey (vecPub vec) + !sec = throwCryptoError $ Ed25519.secretKey (vecSec vec) + +katTests :: [TestTree] +katTests = testVec "vec 1" vec1 + +tests = testGroup "Ed25519" + [ testGroup "KATs" katTests + ] diff --git a/tests/Tests.hs b/tests/Tests.hs index 258228d..c781a71 100644 --- a/tests/Tests.hs +++ b/tests/Tests.hs @@ -14,6 +14,7 @@ import qualified KATHash import qualified KAT_HMAC import qualified KAT_PBKDF2 import qualified KAT_Curve25519 +import qualified KAT_Ed25519 import qualified KAT_PubKey import qualified KAT_Scrypt -- symmetric cipher -------------------- @@ -80,6 +81,7 @@ tests = testGroup "cryptonite" , KATHash.tests , KAT_HMAC.tests , KAT_Curve25519.tests + , KAT_Ed25519.tests , KAT_PubKey.tests , KAT_PBKDF2.tests , KAT_Scrypt.tests