tor/src/ext/ed25519/donna/fuzz/ed25519-ref10.c

#include <stdint.h>
#include <stddef.h>
#include <string.h>

static int crypto_verify_32(const unsigned char *x,const unsigned char *y)
{
  unsigned int differentbits = 0;
#define F(i) differentbits |= x[i] ^ y[i];
  F(0)
  F(1)
  F(2)
  F(3)
  F(4)
  F(5)
  F(6)
  F(7)
  F(8)
  F(9)
  F(10)
  F(11)
  F(12)
  F(13)
  F(14)
  F(15)
  F(16)
  F(17)
  F(18)
  F(19)
  F(20)
  F(21)
  F(22)
  F(23)
  F(24)
  F(25)
  F(26)
  F(27)
  F(28)
  F(29)
  F(30)
  F(31)
  return (1 & ((differentbits - 1) >> 8)) - 1;
}

#if defined(ED25519_REFHASH)

/* reference/slow SHA-512. really, do not use this */

#define HASH_BLOCK_SIZE 128
#define HASH_DIGEST_SIZE 64

typedef struct sha512_state_t {
	uint64_t H[8];
	uint64_t T[2];
	uint32_t leftover;
	uint8_t buffer[HASH_BLOCK_SIZE];
} sha512_state;

typedef sha512_state ed25519_hash_context;

static const uint64_t sha512_constants[80] = {
	0x428a2f98d728ae22ull, 0x7137449123ef65cdull, 0xb5c0fbcfec4d3b2full, 0xe9b5dba58189dbbcull,
	0x3956c25bf348b538ull, 0x59f111f1b605d019ull, 0x923f82a4af194f9bull, 0xab1c5ed5da6d8118ull,
	0xd807aa98a3030242ull, 0x12835b0145706fbeull, 0x243185be4ee4b28cull, 0x550c7dc3d5ffb4e2ull,
	0x72be5d74f27b896full, 0x80deb1fe3b1696b1ull, 0x9bdc06a725c71235ull, 0xc19bf174cf692694ull,
	0xe49b69c19ef14ad2ull, 0xefbe4786384f25e3ull, 0x0fc19dc68b8cd5b5ull, 0x240ca1cc77ac9c65ull,
	0x2de92c6f592b0275ull, 0x4a7484aa6ea6e483ull, 0x5cb0a9dcbd41fbd4ull, 0x76f988da831153b5ull,
	0x983e5152ee66dfabull, 0xa831c66d2db43210ull, 0xb00327c898fb213full, 0xbf597fc7beef0ee4ull,
	0xc6e00bf33da88fc2ull, 0xd5a79147930aa725ull, 0x06ca6351e003826full, 0x142929670a0e6e70ull,
	0x27b70a8546d22ffcull, 0x2e1b21385c26c926ull, 0x4d2c6dfc5ac42aedull, 0x53380d139d95b3dfull,
	0x650a73548baf63deull, 0x766a0abb3c77b2a8ull, 0x81c2c92e47edaee6ull, 0x92722c851482353bull,
	0xa2bfe8a14cf10364ull, 0xa81a664bbc423001ull, 0xc24b8b70d0f89791ull, 0xc76c51a30654be30ull,
	0xd192e819d6ef5218ull, 0xd69906245565a910ull, 0xf40e35855771202aull, 0x106aa07032bbd1b8ull,
	0x19a4c116b8d2d0c8ull, 0x1e376c085141ab53ull, 0x2748774cdf8eeb99ull, 0x34b0bcb5e19b48a8ull,
	0x391c0cb3c5c95a63ull, 0x4ed8aa4ae3418acbull, 0x5b9cca4f7763e373ull, 0x682e6ff3d6b2b8a3ull,
	0x748f82ee5defb2fcull, 0x78a5636f43172f60ull, 0x84c87814a1f0ab72ull, 0x8cc702081a6439ecull,
	0x90befffa23631e28ull, 0xa4506cebde82bde9ull, 0xbef9a3f7b2c67915ull, 0xc67178f2e372532bull,
	0xca273eceea26619cull, 0xd186b8c721c0c207ull, 0xeada7dd6cde0eb1eull, 0xf57d4f7fee6ed178ull,
	0x06f067aa72176fbaull, 0x0a637dc5a2c898a6ull, 0x113f9804bef90daeull, 0x1b710b35131c471bull,
	0x28db77f523047d84ull, 0x32caab7b40c72493ull, 0x3c9ebe0a15c9bebcull, 0x431d67c49c100d4cull,
	0x4cc5d4becb3e42b6ull, 0x597f299cfc657e2aull, 0x5fcb6fab3ad6faecull, 0x6c44198c4a475817ull
};

static uint64_t
sha512_ROTR64(uint64_t x, int k) {
	return (x >> k) | (x << (64 - k));
}

static uint64_t
sha512_LOAD64_BE(const uint8_t *p) {
	return 
		((uint64_t)p[0] << 56) |
		((uint64_t)p[1] << 48) |
		((uint64_t)p[2] << 40) |
		((uint64_t)p[3] << 32) |
		((uint64_t)p[4] << 24) |
		((uint64_t)p[5] << 16) |
		((uint64_t)p[6] <<  8) |
		((uint64_t)p[7]      );
}

static void
sha512_STORE64_BE(uint8_t *p, uint64_t v) {
	p[0] = (uint8_t)(v >> 56);
	p[1] = (uint8_t)(v >> 48);
	p[2] = (uint8_t)(v >> 40);
	p[3] = (uint8_t)(v >> 32);
	p[4] = (uint8_t)(v >> 24);
	p[5] = (uint8_t)(v >> 16);
	p[6] = (uint8_t)(v >>  8);
	p[7] = (uint8_t)(v      );
}

#define Ch(x,y,z)  (z ^ (x & (y ^ z)))
#define Maj(x,y,z) (((x | y) & z) | (x & y))
#define S0(x)      (sha512_ROTR64(x, 28) ^ sha512_ROTR64(x, 34) ^ sha512_ROTR64(x, 39))
#define S1(x)      (sha512_ROTR64(x, 14) ^ sha512_ROTR64(x, 18) ^ sha512_ROTR64(x, 41))
#define G0(x)      (sha512_ROTR64(x,  1) ^ sha512_ROTR64(x,  8) ^ (x >>  7))
#define G1(x)      (sha512_ROTR64(x, 19) ^ sha512_ROTR64(x, 61) ^ (x >>  6))
#define W0(in,i)   (sha512_LOAD64_BE(&in[i * 8]))
#define W1(i)      (G1(w[i - 2]) + w[i - 7] + G0(w[i - 15]) + w[i - 16])
#define STEP(i) \
	t1 = S0(r[0]) + Maj(r[0], r[1], r[2]); \
	t0 = r[7] + S1(r[4]) + Ch(r[4], r[5], r[6]) + sha512_constants[i] + w[i]; \
	r[7] = r[6]; \
	r[6] = r[5]; \
	r[5] = r[4]; \
	r[4] = r[3] + t0; \
	r[3] = r[2]; \
	r[2] = r[1]; \
	r[1] = r[0]; \
	r[0] = t0 + t1;

static void
sha512_blocks(sha512_state *S, const uint8_t *in, size_t blocks) {
	uint64_t r[8], w[80], t0, t1;
	size_t i;

	for (i = 0; i < 8; i++) r[i] = S->H[i];

	while (blocks--) {
		for (i =  0; i < 16; i++) { w[i] = W0(in, i); }
		for (i = 16; i < 80; i++) { w[i] = W1(i); }
		for (i =  0; i < 80; i++) { STEP(i); }
		for (i =  0; i <  8; i++) { r[i] += S->H[i]; S->H[i] = r[i]; }
		S->T[0] += HASH_BLOCK_SIZE * 8;
		S->T[1] += (!S->T[0]) ? 1 : 0;
		in += HASH_BLOCK_SIZE;
	}
}

static void
ed25519_hash_init(sha512_state *S) {
	S->H[0] = 0x6a09e667f3bcc908ull;
	S->H[1] = 0xbb67ae8584caa73bull;
	S->H[2] = 0x3c6ef372fe94f82bull;
	S->H[3] = 0xa54ff53a5f1d36f1ull;
	S->H[4] = 0x510e527fade682d1ull;
	S->H[5] = 0x9b05688c2b3e6c1full;
	S->H[6] = 0x1f83d9abfb41bd6bull;
	S->H[7] = 0x5be0cd19137e2179ull;
	S->T[0] = 0;
	S->T[1] = 0;
	S->leftover = 0;
}

static void
ed25519_hash_update(sha512_state *S, const uint8_t *in, size_t inlen) {
	size_t blocks, want;

	/* handle the previous data */
	if (S->leftover) {
		want = (HASH_BLOCK_SIZE - S->leftover);
		want = (want < inlen) ? want : inlen;
		memcpy(S->buffer + S->leftover, in, want);
		S->leftover += (uint32_t)want;
		if (S->leftover < HASH_BLOCK_SIZE)
			return;
		in += want;
		inlen -= want;
		sha512_blocks(S, S->buffer, 1);
	}

	/* handle the current data */
	blocks = (inlen & ~(HASH_BLOCK_SIZE - 1));
	S->leftover = (uint32_t)(inlen - blocks);
	if (blocks) {
		sha512_blocks(S, in, blocks / HASH_BLOCK_SIZE);
		in += blocks;
	}

	/* handle leftover data */
	if (S->leftover)
		memcpy(S->buffer, in, S->leftover);
}

static void
ed25519_hash_final(sha512_state *S, uint8_t *hash) {
	uint64_t t0 = S->T[0] + (S->leftover * 8), t1 = S->T[1];

	S->buffer[S->leftover] = 0x80;
	if (S->leftover <= 111) {
		memset(S->buffer + S->leftover + 1, 0, 111 - S->leftover);
	} else {
		memset(S->buffer + S->leftover + 1, 0, 127 - S->leftover);
		sha512_blocks(S, S->buffer, 1);
		memset(S->buffer, 0, 112);
	}

	sha512_STORE64_BE(S->buffer + 112, t1);
	sha512_STORE64_BE(S->buffer + 120, t0);
	sha512_blocks(S, S->buffer, 1);

	sha512_STORE64_BE(&hash[ 0], S->H[0]);
	sha512_STORE64_BE(&hash[ 8], S->H[1]);
	sha512_STORE64_BE(&hash[16], S->H[2]);
	sha512_STORE64_BE(&hash[24], S->H[3]);
	sha512_STORE64_BE(&hash[32], S->H[4]);
	sha512_STORE64_BE(&hash[40], S->H[5]);
	sha512_STORE64_BE(&hash[48], S->H[6]);
	sha512_STORE64_BE(&hash[56], S->H[7]);
}

static void
crypto_hash_sha512(unsigned char *hash, const unsigned char *in, size_t inlen) {
	ed25519_hash_context ctx;
	ed25519_hash_init(&ctx);
	ed25519_hash_update(&ctx, in, inlen);
	ed25519_hash_final(&ctx, hash);
}

#else

#include <openssl/sha.h>

static void
crypto_hash_sha512(unsigned char *hash, const unsigned char *in, size_t inlen) {
	SHA512(in, inlen, hash);
}

#endif




typedef int32_t crypto_int32;
typedef uint32_t crypto_uint32;
typedef int64_t crypto_int64;
typedef uint64_t crypto_uint64;

typedef crypto_int32 fe[10];

/*
h = 0
*/

static void fe_0(fe h)
{
  h[0] = 0;
  h[1] = 0;
  h[2] = 0;
  h[3] = 0;
  h[4] = 0;
  h[5] = 0;
  h[6] = 0;
  h[7] = 0;
  h[8] = 0;
  h[9] = 0;
}

/*
h = 1
*/

static void fe_1(fe h)
{
  h[0] = 1;
  h[1] = 0;
  h[2] = 0;
  h[3] = 0;
  h[4] = 0;
  h[5] = 0;
  h[6] = 0;
  h[7] = 0;
  h[8] = 0;
  h[9] = 0;
}

/*
h = f + g
Can overlap h with f or g.

Preconditions:
   |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
   |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.

Postconditions:
   |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/

static void fe_add(fe h,const fe f,const fe g)
{
  crypto_int32 f0 = f[0];
  crypto_int32 f1 = f[1];
  crypto_int32 f2 = f[2];
  crypto_int32 f3 = f[3];
  crypto_int32 f4 = f[4];
  crypto_int32 f5 = f[5];
  crypto_int32 f6 = f[6];
  crypto_int32 f7 = f[7];
  crypto_int32 f8 = f[8];
  crypto_int32 f9 = f[9];
  crypto_int32 g0 = g[0];
  crypto_int32 g1 = g[1];
  crypto_int32 g2 = g[2];
  crypto_int32 g3 = g[3];
  crypto_int32 g4 = g[4];
  crypto_int32 g5 = g[5];
  crypto_int32 g6 = g[6];
  crypto_int32 g7 = g[7];
  crypto_int32 g8 = g[8];
  crypto_int32 g9 = g[9];
  crypto_int32 h0 = f0 + g0;
  crypto_int32 h1 = f1 + g1;
  crypto_int32 h2 = f2 + g2;
  crypto_int32 h3 = f3 + g3;
  crypto_int32 h4 = f4 + g4;
  crypto_int32 h5 = f5 + g5;
  crypto_int32 h6 = f6 + g6;
  crypto_int32 h7 = f7 + g7;
  crypto_int32 h8 = f8 + g8;
  crypto_int32 h9 = f9 + g9;
  h[0] = h0;
  h[1] = h1;
  h[2] = h2;
  h[3] = h3;
  h[4] = h4;
  h[5] = h5;
  h[6] = h6;
  h[7] = h7;
  h[8] = h8;
  h[9] = h9;
}


/*
Replace (f,g) with (g,g) if b == 1;
replace (f,g) with (f,g) if b == 0.

Preconditions: b in {0,1}.
*/

static void fe_cmov(fe f,const fe g,unsigned int b)
{
  crypto_int32 f0 = f[0];
  crypto_int32 f1 = f[1];
  crypto_int32 f2 = f[2];
  crypto_int32 f3 = f[3];
  crypto_int32 f4 = f[4];
  crypto_int32 f5 = f[5];
  crypto_int32 f6 = f[6];
  crypto_int32 f7 = f[7];
  crypto_int32 f8 = f[8];
  crypto_int32 f9 = f[9];
  crypto_int32 g0 = g[0];
  crypto_int32 g1 = g[1];
  crypto_int32 g2 = g[2];
  crypto_int32 g3 = g[3];
  crypto_int32 g4 = g[4];
  crypto_int32 g5 = g[5];
  crypto_int32 g6 = g[6];
  crypto_int32 g7 = g[7];
  crypto_int32 g8 = g[8];
  crypto_int32 g9 = g[9];
  crypto_int32 x0 = f0 ^ g0;
  crypto_int32 x1 = f1 ^ g1;
  crypto_int32 x2 = f2 ^ g2;
  crypto_int32 x3 = f3 ^ g3;
  crypto_int32 x4 = f4 ^ g4;
  crypto_int32 x5 = f5 ^ g5;
  crypto_int32 x6 = f6 ^ g6;
  crypto_int32 x7 = f7 ^ g7;
  crypto_int32 x8 = f8 ^ g8;
  crypto_int32 x9 = f9 ^ g9;
  b = -b;
  x0 &= b;
  x1 &= b;
  x2 &= b;
  x3 &= b;
  x4 &= b;
  x5 &= b;
  x6 &= b;
  x7 &= b;
  x8 &= b;
  x9 &= b;
  f[0] = f0 ^ x0;
  f[1] = f1 ^ x1;
  f[2] = f2 ^ x2;
  f[3] = f3 ^ x3;
  f[4] = f4 ^ x4;
  f[5] = f5 ^ x5;
  f[6] = f6 ^ x6;
  f[7] = f7 ^ x7;
  f[8] = f8 ^ x8;
  f[9] = f9 ^ x9;
}


/*
h = f
*/

static void fe_copy(fe h,const fe f)
{
  crypto_int32 f0 = f[0];
  crypto_int32 f1 = f[1];
  crypto_int32 f2 = f[2];
  crypto_int32 f3 = f[3];
  crypto_int32 f4 = f[4];
  crypto_int32 f5 = f[5];
  crypto_int32 f6 = f[6];
  crypto_int32 f7 = f[7];
  crypto_int32 f8 = f[8];
  crypto_int32 f9 = f[9];
  h[0] = f0;
  h[1] = f1;
  h[2] = f2;
  h[3] = f3;
  h[4] = f4;
  h[5] = f5;
  h[6] = f6;
  h[7] = f7;
  h[8] = f8;
  h[9] = f9;
}


static crypto_uint64 load_3(const unsigned char *in)
{
  crypto_uint64 result;
  result = (crypto_uint64) in[0];
  result |= ((crypto_uint64) in[1]) << 8;
  result |= ((crypto_uint64) in[2]) << 16;
  return result;
}

static crypto_uint64 load_4(const unsigned char *in)
{
  crypto_uint64 result;
  result = (crypto_uint64) in[0];
  result |= ((crypto_uint64) in[1]) << 8;
  result |= ((crypto_uint64) in[2]) << 16;
  result |= ((crypto_uint64) in[3]) << 24;
  return result;
}

/*
Ignores top bit of h.
*/

static void fe_frombytes(fe h,const unsigned char *s)
{
  crypto_int64 h0 = load_4(s);
  crypto_int64 h1 = load_3(s + 4) << 6;
  crypto_int64 h2 = load_3(s + 7) << 5;
  crypto_int64 h3 = load_3(s + 10) << 3;
  crypto_int64 h4 = load_3(s + 13) << 2;
  crypto_int64 h5 = load_4(s + 16);
  crypto_int64 h6 = load_3(s + 20) << 7;
  crypto_int64 h7 = load_3(s + 23) << 5;
  crypto_int64 h8 = load_3(s + 26) << 4;
  crypto_int64 h9 = (load_3(s + 29) & 8388607) << 2;
  crypto_int64 carry0;
  crypto_int64 carry1;
  crypto_int64 carry2;
  crypto_int64 carry3;
  crypto_int64 carry4;
  crypto_int64 carry5;
  crypto_int64 carry6;
  crypto_int64 carry7;
  crypto_int64 carry8;
  crypto_int64 carry9;

  carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;
  carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
  carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
  carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;
  carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;

  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
  carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
  carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;
  carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;

  h[0] = h0;
  h[1] = h1;
  h[2] = h2;
  h[3] = h3;
  h[4] = h4;
  h[5] = h5;
  h[6] = h6;
  h[7] = h7;
  h[8] = h8;
  h[9] = h9;
}

/*
Preconditions:
  |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.

Write p=2^255-19; q=floor(h/p).
Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))).

Proof:
  Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4.
  Also have |h-2^230 h9|<2^231 so |19 2^(-255)(h-2^230 h9)|<1/4.

  Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9).
  Then 0<y<1.

  Write r=h-pq.
  Have 0<=r<=p-1=2^255-20.
  Thus 0<=r+19(2^-255)r<r+19(2^-255)2^255<=2^255-1.

  Write x=r+19(2^-255)r+y.
  Then 0<x<2^255 so floor(2^(-255)x) = 0 so floor(q+2^(-255)x) = q.

  Have q+2^(-255)x = 2^(-255)(h + 19 2^(-25) h9 + 2^(-1))
  so floor(2^(-255)(h + 19 2^(-25) h9 + 2^(-1))) = q.
*/

static void fe_tobytes(unsigned char *s,const fe h)
{
  crypto_int32 h0 = h[0];
  crypto_int32 h1 = h[1];
  crypto_int32 h2 = h[2];
  crypto_int32 h3 = h[3];
  crypto_int32 h4 = h[4];
  crypto_int32 h5 = h[5];
  crypto_int32 h6 = h[6];
  crypto_int32 h7 = h[7];
  crypto_int32 h8 = h[8];
  crypto_int32 h9 = h[9];
  crypto_int32 q;
  crypto_int32 carry0;
  crypto_int32 carry1;
  crypto_int32 carry2;
  crypto_int32 carry3;
  crypto_int32 carry4;
  crypto_int32 carry5;
  crypto_int32 carry6;
  crypto_int32 carry7;
  crypto_int32 carry8;
  crypto_int32 carry9;

  q = (19 * h9 + (((crypto_int32) 1) << 24)) >> 25;
  q = (h0 + q) >> 26;
  q = (h1 + q) >> 25;
  q = (h2 + q) >> 26;
  q = (h3 + q) >> 25;
  q = (h4 + q) >> 26;
  q = (h5 + q) >> 25;
  q = (h6 + q) >> 26;
  q = (h7 + q) >> 25;
  q = (h8 + q) >> 26;
  q = (h9 + q) >> 25;

  /* Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. */
  h0 += 19 * q;
  /* Goal: Output h-2^255 q, which is between 0 and 2^255-20. */

  carry0 = h0 >> 26; h1 += carry0; h0 -= carry0 << 26;
  carry1 = h1 >> 25; h2 += carry1; h1 -= carry1 << 25;
  carry2 = h2 >> 26; h3 += carry2; h2 -= carry2 << 26;
  carry3 = h3 >> 25; h4 += carry3; h3 -= carry3 << 25;
  carry4 = h4 >> 26; h5 += carry4; h4 -= carry4 << 26;
  carry5 = h5 >> 25; h6 += carry5; h5 -= carry5 << 25;
  carry6 = h6 >> 26; h7 += carry6; h6 -= carry6 << 26;
  carry7 = h7 >> 25; h8 += carry7; h7 -= carry7 << 25;
  carry8 = h8 >> 26; h9 += carry8; h8 -= carry8 << 26;
  carry9 = h9 >> 25;               h9 -= carry9 << 25;
                  /* h10 = carry9 */

  /*
  Goal: Output h0+...+2^255 h10-2^255 q, which is between 0 and 2^255-20.
  Have h0+...+2^230 h9 between 0 and 2^255-1;
  evidently 2^255 h10-2^255 q = 0.
  Goal: Output h0+...+2^230 h9.
  */

  s[0] = h0 >> 0;
  s[1] = h0 >> 8;
  s[2] = h0 >> 16;
  s[3] = (h0 >> 24) | (h1 << 2);
  s[4] = h1 >> 6;
  s[5] = h1 >> 14;
  s[6] = (h1 >> 22) | (h2 << 3);
  s[7] = h2 >> 5;
  s[8] = h2 >> 13;
  s[9] = (h2 >> 21) | (h3 << 5);
  s[10] = h3 >> 3;
  s[11] = h3 >> 11;
  s[12] = (h3 >> 19) | (h4 << 6);
  s[13] = h4 >> 2;
  s[14] = h4 >> 10;
  s[15] = h4 >> 18;
  s[16] = h5 >> 0;
  s[17] = h5 >> 8;
  s[18] = h5 >> 16;
  s[19] = (h5 >> 24) | (h6 << 1);
  s[20] = h6 >> 7;
  s[21] = h6 >> 15;
  s[22] = (h6 >> 23) | (h7 << 3);
  s[23] = h7 >> 5;
  s[24] = h7 >> 13;
  s[25] = (h7 >> 21) | (h8 << 4);
  s[26] = h8 >> 4;
  s[27] = h8 >> 12;
  s[28] = (h8 >> 20) | (h9 << 6);
  s[29] = h9 >> 2;
  s[30] = h9 >> 10;
  s[31] = h9 >> 18;
}


/*
h = f - g
Can overlap h with f or g.

Preconditions:
   |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
   |g| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.

Postconditions:
   |h| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/

static void fe_sub(fe h,const fe f,const fe g)
{
  crypto_int32 f0 = f[0];
  crypto_int32 f1 = f[1];
  crypto_int32 f2 = f[2];
  crypto_int32 f3 = f[3];
  crypto_int32 f4 = f[4];
  crypto_int32 f5 = f[5];
  crypto_int32 f6 = f[6];
  crypto_int32 f7 = f[7];
  crypto_int32 f8 = f[8];
  crypto_int32 f9 = f[9];
  crypto_int32 g0 = g[0];
  crypto_int32 g1 = g[1];
  crypto_int32 g2 = g[2];
  crypto_int32 g3 = g[3];
  crypto_int32 g4 = g[4];
  crypto_int32 g5 = g[5];
  crypto_int32 g6 = g[6];
  crypto_int32 g7 = g[7];
  crypto_int32 g8 = g[8];
  crypto_int32 g9 = g[9];
  crypto_int32 h0 = f0 - g0;
  crypto_int32 h1 = f1 - g1;
  crypto_int32 h2 = f2 - g2;
  crypto_int32 h3 = f3 - g3;
  crypto_int32 h4 = f4 - g4;
  crypto_int32 h5 = f5 - g5;
  crypto_int32 h6 = f6 - g6;
  crypto_int32 h7 = f7 - g7;
  crypto_int32 h8 = f8 - g8;
  crypto_int32 h9 = f9 - g9;
  h[0] = h0;
  h[1] = h1;
  h[2] = h2;
  h[3] = h3;
  h[4] = h4;
  h[5] = h5;
  h[6] = h6;
  h[7] = h7;
  h[8] = h8;
  h[9] = h9;
}


/*
h = f * f
Can overlap h with f.

Preconditions:
   |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.

Postconditions:
   |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
*/

/*
See fe_mul.c for discussion of implementation strategy.
*/

static void fe_sq(fe h,const fe f)
{
  crypto_int32 f0 = f[0];
  crypto_int32 f1 = f[1];
  crypto_int32 f2 = f[2];
  crypto_int32 f3 = f[3];
  crypto_int32 f4 = f[4];
  crypto_int32 f5 = f[5];
  crypto_int32 f6 = f[6];
  crypto_int32 f7 = f[7];
  crypto_int32 f8 = f[8];
  crypto_int32 f9 = f[9];
  crypto_int32 f0_2 = 2 * f0;
  crypto_int32 f1_2 = 2 * f1;
  crypto_int32 f2_2 = 2 * f2;
  crypto_int32 f3_2 = 2 * f3;
  crypto_int32 f4_2 = 2 * f4;
  crypto_int32 f5_2 = 2 * f5;
  crypto_int32 f6_2 = 2 * f6;
  crypto_int32 f7_2 = 2 * f7;
  crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */
  crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */
  crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */
  crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */
  crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */
  crypto_int64 f0f0    = f0   * (crypto_int64) f0;
  crypto_int64 f0f1_2  = f0_2 * (crypto_int64) f1;
  crypto_int64 f0f2_2  = f0_2 * (crypto_int64) f2;
  crypto_int64 f0f3_2  = f0_2 * (crypto_int64) f3;
  crypto_int64 f0f4_2  = f0_2 * (crypto_int64) f4;
  crypto_int64 f0f5_2  = f0_2 * (crypto_int64) f5;
  crypto_int64 f0f6_2  = f0_2 * (crypto_int64) f6;
  crypto_int64 f0f7_2  = f0_2 * (crypto_int64) f7;
  crypto_int64 f0f8_2  = f0_2 * (crypto_int64) f8;
  crypto_int64 f0f9_2  = f0_2 * (crypto_int64) f9;
  crypto_int64 f1f1_2  = f1_2 * (crypto_int64) f1;
  crypto_int64 f1f2_2  = f1_2 * (crypto_int64) f2;
  crypto_int64 f1f3_4  = f1_2 * (crypto_int64) f3_2;
  crypto_int64 f1f4_2  = f1_2 * (crypto_int64) f4;
  crypto_int64 f1f5_4  = f1_2 * (crypto_int64) f5_2;
  crypto_int64 f1f6_2  = f1_2 * (crypto_int64) f6;
  crypto_int64 f1f7_4  = f1_2 * (crypto_int64) f7_2;
  crypto_int64 f1f8_2  = f1_2 * (crypto_int64) f8;
  crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38;
  crypto_int64 f2f2    = f2   * (crypto_int64) f2;
  crypto_int64 f2f3_2  = f2_2 * (crypto_int64) f3;
  crypto_int64 f2f4_2  = f2_2 * (crypto_int64) f4;
  crypto_int64 f2f5_2  = f2_2 * (crypto_int64) f5;
  crypto_int64 f2f6_2  = f2_2 * (crypto_int64) f6;
  crypto_int64 f2f7_2  = f2_2 * (crypto_int64) f7;
  crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19;
  crypto_int64 f2f9_38 = f2   * (crypto_int64) f9_38;
  crypto_int64 f3f3_2  = f3_2 * (crypto_int64) f3;
  crypto_int64 f3f4_2  = f3_2 * (crypto_int64) f4;
  crypto_int64 f3f5_4  = f3_2 * (crypto_int64) f5_2;
  crypto_int64 f3f6_2  = f3_2 * (crypto_int64) f6;
  crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38;
  crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19;
  crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38;
  crypto_int64 f4f4    = f4   * (crypto_int64) f4;
  crypto_int64 f4f5_2  = f4_2 * (crypto_int64) f5;
  crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19;
  crypto_int64 f4f7_38 = f4   * (crypto_int64) f7_38;
  crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19;
  crypto_int64 f4f9_38 = f4   * (crypto_int64) f9_38;
  crypto_int64 f5f5_38 = f5   * (crypto_int64) f5_38;
  crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19;
  crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38;
  crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19;
  crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38;
  crypto_int64 f6f6_19 = f6   * (crypto_int64) f6_19;
  crypto_int64 f6f7_38 = f6   * (crypto_int64) f7_38;
  crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19;
  crypto_int64 f6f9_38 = f6   * (crypto_int64) f9_38;
  crypto_int64 f7f7_38 = f7   * (crypto_int64) f7_38;
  crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19;
  crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38;
  crypto_int64 f8f8_19 = f8   * (crypto_int64) f8_19;
  crypto_int64 f8f9_38 = f8   * (crypto_int64) f9_38;
  crypto_int64 f9f9_38 = f9   * (crypto_int64) f9_38;
  crypto_int64 h0 = f0f0  +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38;
  crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38;
  crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19;
  crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38;
  crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2   +f5f9_76+f6f8_38+f7f7_38;
  crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38;
  crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19;
  crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38;
  crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4   +f9f9_38;
  crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2;
  crypto_int64 carry0;
  crypto_int64 carry1;
  crypto_int64 carry2;
  crypto_int64 carry3;
  crypto_int64 carry4;
  crypto_int64 carry5;
  crypto_int64 carry6;
  crypto_int64 carry7;
  crypto_int64 carry8;
  crypto_int64 carry9;

  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;

  carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
  carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;

  carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
  carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;

  carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
  carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;

  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
  carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;

  carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;

  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;

  h[0] = h0;
  h[1] = h1;
  h[2] = h2;
  h[3] = h3;
  h[4] = h4;
  h[5] = h5;
  h[6] = h6;
  h[7] = h7;
  h[8] = h8;
  h[9] = h9;
}

/*
h = 2 * f * f
Can overlap h with f.

Preconditions:
   |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.

Postconditions:
   |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
*/

/*
See fe_mul.c for discussion of implementation strategy.
*/

static void fe_sq2(fe h,const fe f)
{
  crypto_int32 f0 = f[0];
  crypto_int32 f1 = f[1];
  crypto_int32 f2 = f[2];
  crypto_int32 f3 = f[3];
  crypto_int32 f4 = f[4];
  crypto_int32 f5 = f[5];
  crypto_int32 f6 = f[6];
  crypto_int32 f7 = f[7];
  crypto_int32 f8 = f[8];
  crypto_int32 f9 = f[9];
  crypto_int32 f0_2 = 2 * f0;
  crypto_int32 f1_2 = 2 * f1;
  crypto_int32 f2_2 = 2 * f2;
  crypto_int32 f3_2 = 2 * f3;
  crypto_int32 f4_2 = 2 * f4;
  crypto_int32 f5_2 = 2 * f5;
  crypto_int32 f6_2 = 2 * f6;
  crypto_int32 f7_2 = 2 * f7;
  crypto_int32 f5_38 = 38 * f5; /* 1.959375*2^30 */
  crypto_int32 f6_19 = 19 * f6; /* 1.959375*2^30 */
  crypto_int32 f7_38 = 38 * f7; /* 1.959375*2^30 */
  crypto_int32 f8_19 = 19 * f8; /* 1.959375*2^30 */
  crypto_int32 f9_38 = 38 * f9; /* 1.959375*2^30 */
  crypto_int64 f0f0    = f0   * (crypto_int64) f0;
  crypto_int64 f0f1_2  = f0_2 * (crypto_int64) f1;
  crypto_int64 f0f2_2  = f0_2 * (crypto_int64) f2;
  crypto_int64 f0f3_2  = f0_2 * (crypto_int64) f3;
  crypto_int64 f0f4_2  = f0_2 * (crypto_int64) f4;
  crypto_int64 f0f5_2  = f0_2 * (crypto_int64) f5;
  crypto_int64 f0f6_2  = f0_2 * (crypto_int64) f6;
  crypto_int64 f0f7_2  = f0_2 * (crypto_int64) f7;
  crypto_int64 f0f8_2  = f0_2 * (crypto_int64) f8;
  crypto_int64 f0f9_2  = f0_2 * (crypto_int64) f9;
  crypto_int64 f1f1_2  = f1_2 * (crypto_int64) f1;
  crypto_int64 f1f2_2  = f1_2 * (crypto_int64) f2;
  crypto_int64 f1f3_4  = f1_2 * (crypto_int64) f3_2;
  crypto_int64 f1f4_2  = f1_2 * (crypto_int64) f4;
  crypto_int64 f1f5_4  = f1_2 * (crypto_int64) f5_2;
  crypto_int64 f1f6_2  = f1_2 * (crypto_int64) f6;
  crypto_int64 f1f7_4  = f1_2 * (crypto_int64) f7_2;
  crypto_int64 f1f8_2  = f1_2 * (crypto_int64) f8;
  crypto_int64 f1f9_76 = f1_2 * (crypto_int64) f9_38;
  crypto_int64 f2f2    = f2   * (crypto_int64) f2;
  crypto_int64 f2f3_2  = f2_2 * (crypto_int64) f3;
  crypto_int64 f2f4_2  = f2_2 * (crypto_int64) f4;
  crypto_int64 f2f5_2  = f2_2 * (crypto_int64) f5;
  crypto_int64 f2f6_2  = f2_2 * (crypto_int64) f6;
  crypto_int64 f2f7_2  = f2_2 * (crypto_int64) f7;
  crypto_int64 f2f8_38 = f2_2 * (crypto_int64) f8_19;
  crypto_int64 f2f9_38 = f2   * (crypto_int64) f9_38;
  crypto_int64 f3f3_2  = f3_2 * (crypto_int64) f3;
  crypto_int64 f3f4_2  = f3_2 * (crypto_int64) f4;
  crypto_int64 f3f5_4  = f3_2 * (crypto_int64) f5_2;
  crypto_int64 f3f6_2  = f3_2 * (crypto_int64) f6;
  crypto_int64 f3f7_76 = f3_2 * (crypto_int64) f7_38;
  crypto_int64 f3f8_38 = f3_2 * (crypto_int64) f8_19;
  crypto_int64 f3f9_76 = f3_2 * (crypto_int64) f9_38;
  crypto_int64 f4f4    = f4   * (crypto_int64) f4;
  crypto_int64 f4f5_2  = f4_2 * (crypto_int64) f5;
  crypto_int64 f4f6_38 = f4_2 * (crypto_int64) f6_19;
  crypto_int64 f4f7_38 = f4   * (crypto_int64) f7_38;
  crypto_int64 f4f8_38 = f4_2 * (crypto_int64) f8_19;
  crypto_int64 f4f9_38 = f4   * (crypto_int64) f9_38;
  crypto_int64 f5f5_38 = f5   * (crypto_int64) f5_38;
  crypto_int64 f5f6_38 = f5_2 * (crypto_int64) f6_19;
  crypto_int64 f5f7_76 = f5_2 * (crypto_int64) f7_38;
  crypto_int64 f5f8_38 = f5_2 * (crypto_int64) f8_19;
  crypto_int64 f5f9_76 = f5_2 * (crypto_int64) f9_38;
  crypto_int64 f6f6_19 = f6   * (crypto_int64) f6_19;
  crypto_int64 f6f7_38 = f6   * (crypto_int64) f7_38;
  crypto_int64 f6f8_38 = f6_2 * (crypto_int64) f8_19;
  crypto_int64 f6f9_38 = f6   * (crypto_int64) f9_38;
  crypto_int64 f7f7_38 = f7   * (crypto_int64) f7_38;
  crypto_int64 f7f8_38 = f7_2 * (crypto_int64) f8_19;
  crypto_int64 f7f9_76 = f7_2 * (crypto_int64) f9_38;
  crypto_int64 f8f8_19 = f8   * (crypto_int64) f8_19;
  crypto_int64 f8f9_38 = f8   * (crypto_int64) f9_38;
  crypto_int64 f9f9_38 = f9   * (crypto_int64) f9_38;
  crypto_int64 h0 = f0f0  +f1f9_76+f2f8_38+f3f7_76+f4f6_38+f5f5_38;
  crypto_int64 h1 = f0f1_2+f2f9_38+f3f8_38+f4f7_38+f5f6_38;
  crypto_int64 h2 = f0f2_2+f1f1_2 +f3f9_76+f4f8_38+f5f7_76+f6f6_19;
  crypto_int64 h3 = f0f3_2+f1f2_2 +f4f9_38+f5f8_38+f6f7_38;
  crypto_int64 h4 = f0f4_2+f1f3_4 +f2f2   +f5f9_76+f6f8_38+f7f7_38;
  crypto_int64 h5 = f0f5_2+f1f4_2 +f2f3_2 +f6f9_38+f7f8_38;
  crypto_int64 h6 = f0f6_2+f1f5_4 +f2f4_2 +f3f3_2 +f7f9_76+f8f8_19;
  crypto_int64 h7 = f0f7_2+f1f6_2 +f2f5_2 +f3f4_2 +f8f9_38;
  crypto_int64 h8 = f0f8_2+f1f7_4 +f2f6_2 +f3f5_4 +f4f4   +f9f9_38;
  crypto_int64 h9 = f0f9_2+f1f8_2 +f2f7_2 +f3f6_2 +f4f5_2;
  crypto_int64 carry0;
  crypto_int64 carry1;
  crypto_int64 carry2;
  crypto_int64 carry3;
  crypto_int64 carry4;
  crypto_int64 carry5;
  crypto_int64 carry6;
  crypto_int64 carry7;
  crypto_int64 carry8;
  crypto_int64 carry9;

  h0 += h0;
  h1 += h1;
  h2 += h2;
  h3 += h3;
  h4 += h4;
  h5 += h5;
  h6 += h6;
  h7 += h7;
  h8 += h8;
  h9 += h9;

  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;

  carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
  carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;

  carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
  carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;

  carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
  carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;

  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
  carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;

  carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;

  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;

  h[0] = h0;
  h[1] = h1;
  h[2] = h2;
  h[3] = h3;
  h[4] = h4;
  h[5] = h5;
  h[6] = h6;
  h[7] = h7;
  h[8] = h8;
  h[9] = h9;
}

/*
h = f * g
Can overlap h with f or g.

Preconditions:
   |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.
   |g| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc.

Postconditions:
   |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc.
*/

/*
Notes on implementation strategy:

Using schoolbook multiplication.
Karatsuba would save a little in some cost models.

Most multiplications by 2 and 19 are 32-bit precomputations;
cheaper than 64-bit postcomputations.

There is one remaining multiplication by 19 in the carry chain;
one *19 precomputation can be merged into this,
but the resulting data flow is considerably less clean.

There are 12 carries below.
10 of them are 2-way parallelizable and vectorizable.
Can get away with 11 carries, but then data flow is much deeper.

With tighter constraints on inputs can squeeze carries into int32.
*/

static void fe_mul(fe h,const fe f,const fe g)
{
  crypto_int32 f0 = f[0];
  crypto_int32 f1 = f[1];
  crypto_int32 f2 = f[2];
  crypto_int32 f3 = f[3];
  crypto_int32 f4 = f[4];
  crypto_int32 f5 = f[5];
  crypto_int32 f6 = f[6];
  crypto_int32 f7 = f[7];
  crypto_int32 f8 = f[8];
  crypto_int32 f9 = f[9];
  crypto_int32 g0 = g[0];
  crypto_int32 g1 = g[1];
  crypto_int32 g2 = g[2];
  crypto_int32 g3 = g[3];
  crypto_int32 g4 = g[4];
  crypto_int32 g5 = g[5];
  crypto_int32 g6 = g[6];
  crypto_int32 g7 = g[7];
  crypto_int32 g8 = g[8];
  crypto_int32 g9 = g[9];
  crypto_int32 g1_19 = 19 * g1; /* 1.959375*2^29 */
  crypto_int32 g2_19 = 19 * g2; /* 1.959375*2^30; still ok */
  crypto_int32 g3_19 = 19 * g3;
  crypto_int32 g4_19 = 19 * g4;
  crypto_int32 g5_19 = 19 * g5;
  crypto_int32 g6_19 = 19 * g6;
  crypto_int32 g7_19 = 19 * g7;
  crypto_int32 g8_19 = 19 * g8;
  crypto_int32 g9_19 = 19 * g9;
  crypto_int32 f1_2 = 2 * f1;
  crypto_int32 f3_2 = 2 * f3;
  crypto_int32 f5_2 = 2 * f5;
  crypto_int32 f7_2 = 2 * f7;
  crypto_int32 f9_2 = 2 * f9;
  crypto_int64 f0g0    = f0   * (crypto_int64) g0;
  crypto_int64 f0g1    = f0   * (crypto_int64) g1;
  crypto_int64 f0g2    = f0   * (crypto_int64) g2;
  crypto_int64 f0g3    = f0   * (crypto_int64) g3;
  crypto_int64 f0g4    = f0   * (crypto_int64) g4;
  crypto_int64 f0g5    = f0   * (crypto_int64) g5;
  crypto_int64 f0g6    = f0   * (crypto_int64) g6;
  crypto_int64 f0g7    = f0   * (crypto_int64) g7;
  crypto_int64 f0g8    = f0   * (crypto_int64) g8;
  crypto_int64 f0g9    = f0   * (crypto_int64) g9;
  crypto_int64 f1g0    = f1   * (crypto_int64) g0;
  crypto_int64 f1g1_2  = f1_2 * (crypto_int64) g1;
  crypto_int64 f1g2    = f1   * (crypto_int64) g2;
  crypto_int64 f1g3_2  = f1_2 * (crypto_int64) g3;
  crypto_int64 f1g4    = f1   * (crypto_int64) g4;
  crypto_int64 f1g5_2  = f1_2 * (crypto_int64) g5;
  crypto_int64 f1g6    = f1   * (crypto_int64) g6;
  crypto_int64 f1g7_2  = f1_2 * (crypto_int64) g7;
  crypto_int64 f1g8    = f1   * (crypto_int64) g8;
  crypto_int64 f1g9_38 = f1_2 * (crypto_int64) g9_19;
  crypto_int64 f2g0    = f2   * (crypto_int64) g0;
  crypto_int64 f2g1    = f2   * (crypto_int64) g1;
  crypto_int64 f2g2    = f2   * (crypto_int64) g2;
  crypto_int64 f2g3    = f2   * (crypto_int64) g3;
  crypto_int64 f2g4    = f2   * (crypto_int64) g4;
  crypto_int64 f2g5    = f2   * (crypto_int64) g5;
  crypto_int64 f2g6    = f2   * (crypto_int64) g6;
  crypto_int64 f2g7    = f2   * (crypto_int64) g7;
  crypto_int64 f2g8_19 = f2   * (crypto_int64) g8_19;
  crypto_int64 f2g9_19 = f2   * (crypto_int64) g9_19;
  crypto_int64 f3g0    = f3   * (crypto_int64) g0;
  crypto_int64 f3g1_2  = f3_2 * (crypto_int64) g1;
  crypto_int64 f3g2    = f3   * (crypto_int64) g2;
  crypto_int64 f3g3_2  = f3_2 * (crypto_int64) g3;
  crypto_int64 f3g4    = f3   * (crypto_int64) g4;
  crypto_int64 f3g5_2  = f3_2 * (crypto_int64) g5;
  crypto_int64 f3g6    = f3   * (crypto_int64) g6;
  crypto_int64 f3g7_38 = f3_2 * (crypto_int64) g7_19;
  crypto_int64 f3g8_19 = f3   * (crypto_int64) g8_19;
  crypto_int64 f3g9_38 = f3_2 * (crypto_int64) g9_19;
  crypto_int64 f4g0    = f4   * (crypto_int64) g0;
  crypto_int64 f4g1    = f4   * (crypto_int64) g1;
  crypto_int64 f4g2    = f4   * (crypto_int64) g2;
  crypto_int64 f4g3    = f4   * (crypto_int64) g3;
  crypto_int64 f4g4    = f4   * (crypto_int64) g4;
  crypto_int64 f4g5    = f4   * (crypto_int64) g5;
  crypto_int64 f4g6_19 = f4   * (crypto_int64) g6_19;
  crypto_int64 f4g7_19 = f4   * (crypto_int64) g7_19;
  crypto_int64 f4g8_19 = f4   * (crypto_int64) g8_19;
  crypto_int64 f4g9_19 = f4   * (crypto_int64) g9_19;
  crypto_int64 f5g0    = f5   * (crypto_int64) g0;
  crypto_int64 f5g1_2  = f5_2 * (crypto_int64) g1;
  crypto_int64 f5g2    = f5   * (crypto_int64) g2;
  crypto_int64 f5g3_2  = f5_2 * (crypto_int64) g3;
  crypto_int64 f5g4    = f5   * (crypto_int64) g4;
  crypto_int64 f5g5_38 = f5_2 * (crypto_int64) g5_19;
  crypto_int64 f5g6_19 = f5   * (crypto_int64) g6_19;
  crypto_int64 f5g7_38 = f5_2 * (crypto_int64) g7_19;
  crypto_int64 f5g8_19 = f5   * (crypto_int64) g8_19;
  crypto_int64 f5g9_38 = f5_2 * (crypto_int64) g9_19;
  crypto_int64 f6g0    = f6   * (crypto_int64) g0;
  crypto_int64 f6g1    = f6   * (crypto_int64) g1;
  crypto_int64 f6g2    = f6   * (crypto_int64) g2;
  crypto_int64 f6g3    = f6   * (crypto_int64) g3;
  crypto_int64 f6g4_19 = f6   * (crypto_int64) g4_19;
  crypto_int64 f6g5_19 = f6   * (crypto_int64) g5_19;
  crypto_int64 f6g6_19 = f6   * (crypto_int64) g6_19;
  crypto_int64 f6g7_19 = f6   * (crypto_int64) g7_19;
  crypto_int64 f6g8_19 = f6   * (crypto_int64) g8_19;
  crypto_int64 f6g9_19 = f6   * (crypto_int64) g9_19;
  crypto_int64 f7g0    = f7   * (crypto_int64) g0;
  crypto_int64 f7g1_2  = f7_2 * (crypto_int64) g1;
  crypto_int64 f7g2    = f7   * (crypto_int64) g2;
  crypto_int64 f7g3_38 = f7_2 * (crypto_int64) g3_19;
  crypto_int64 f7g4_19 = f7   * (crypto_int64) g4_19;
  crypto_int64 f7g5_38 = f7_2 * (crypto_int64) g5_19;
  crypto_int64 f7g6_19 = f7   * (crypto_int64) g6_19;
  crypto_int64 f7g7_38 = f7_2 * (crypto_int64) g7_19;
  crypto_int64 f7g8_19 = f7   * (crypto_int64) g8_19;
  crypto_int64 f7g9_38 = f7_2 * (crypto_int64) g9_19;
  crypto_int64 f8g0    = f8   * (crypto_int64) g0;
  crypto_int64 f8g1    = f8   * (crypto_int64) g1;
  crypto_int64 f8g2_19 = f8   * (crypto_int64) g2_19;
  crypto_int64 f8g3_19 = f8   * (crypto_int64) g3_19;
  crypto_int64 f8g4_19 = f8   * (crypto_int64) g4_19;
  crypto_int64 f8g5_19 = f8   * (crypto_int64) g5_19;
  crypto_int64 f8g6_19 = f8   * (crypto_int64) g6_19;
  crypto_int64 f8g7_19 = f8   * (crypto_int64) g7_19;
  crypto_int64 f8g8_19 = f8   * (crypto_int64) g8_19;
  crypto_int64 f8g9_19 = f8   * (crypto_int64) g9_19;
  crypto_int64 f9g0    = f9   * (crypto_int64) g0;
  crypto_int64 f9g1_38 = f9_2 * (crypto_int64) g1_19;
  crypto_int64 f9g2_19 = f9   * (crypto_int64) g2_19;
  crypto_int64 f9g3_38 = f9_2 * (crypto_int64) g3_19;
  crypto_int64 f9g4_19 = f9   * (crypto_int64) g4_19;
  crypto_int64 f9g5_38 = f9_2 * (crypto_int64) g5_19;
  crypto_int64 f9g6_19 = f9   * (crypto_int64) g6_19;
  crypto_int64 f9g7_38 = f9_2 * (crypto_int64) g7_19;
  crypto_int64 f9g8_19 = f9   * (crypto_int64) g8_19;
  crypto_int64 f9g9_38 = f9_2 * (crypto_int64) g9_19;
  crypto_int64 h0 = f0g0+f1g9_38+f2g8_19+f3g7_38+f4g6_19+f5g5_38+f6g4_19+f7g3_38+f8g2_19+f9g1_38;
  crypto_int64 h1 = f0g1+f1g0   +f2g9_19+f3g8_19+f4g7_19+f5g6_19+f6g5_19+f7g4_19+f8g3_19+f9g2_19;
  crypto_int64 h2 = f0g2+f1g1_2 +f2g0   +f3g9_38+f4g8_19+f5g7_38+f6g6_19+f7g5_38+f8g4_19+f9g3_38;
  crypto_int64 h3 = f0g3+f1g2   +f2g1   +f3g0   +f4g9_19+f5g8_19+f6g7_19+f7g6_19+f8g5_19+f9g4_19;
  crypto_int64 h4 = f0g4+f1g3_2 +f2g2   +f3g1_2 +f4g0   +f5g9_38+f6g8_19+f7g7_38+f8g6_19+f9g5_38;
  crypto_int64 h5 = f0g5+f1g4   +f2g3   +f3g2   +f4g1   +f5g0   +f6g9_19+f7g8_19+f8g7_19+f9g6_19;
  crypto_int64 h6 = f0g6+f1g5_2 +f2g4   +f3g3_2 +f4g2   +f5g1_2 +f6g0   +f7g9_38+f8g8_19+f9g7_38;
  crypto_int64 h7 = f0g7+f1g6   +f2g5   +f3g4   +f4g3   +f5g2   +f6g1   +f7g0   +f8g9_19+f9g8_19;
  crypto_int64 h8 = f0g8+f1g7_2 +f2g6   +f3g5_2 +f4g4   +f5g3_2 +f6g2   +f7g1_2 +f8g0   +f9g9_38;
  crypto_int64 h9 = f0g9+f1g8   +f2g7   +f3g6   +f4g5   +f5g4   +f6g3   +f7g2   +f8g1   +f9g0   ;
  crypto_int64 carry0;
  crypto_int64 carry1;
  crypto_int64 carry2;
  crypto_int64 carry3;
  crypto_int64 carry4;
  crypto_int64 carry5;
  crypto_int64 carry6;
  crypto_int64 carry7;
  crypto_int64 carry8;
  crypto_int64 carry9;

  /*
  |h0| <= (1.65*1.65*2^52*(1+19+19+19+19)+1.65*1.65*2^50*(38+38+38+38+38))
    i.e. |h0| <= 1.4*2^60; narrower ranges for h2, h4, h6, h8
  |h1| <= (1.65*1.65*2^51*(1+1+19+19+19+19+19+19+19+19))
    i.e. |h1| <= 1.7*2^59; narrower ranges for h3, h5, h7, h9
  */

  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
  /* |h0| <= 2^25 */
  /* |h4| <= 2^25 */
  /* |h1| <= 1.71*2^59 */
  /* |h5| <= 1.71*2^59 */

  carry1 = (h1 + (crypto_int64) (1<<24)) >> 25; h2 += carry1; h1 -= carry1 << 25;
  carry5 = (h5 + (crypto_int64) (1<<24)) >> 25; h6 += carry5; h5 -= carry5 << 25;
  /* |h1| <= 2^24; from now on fits into int32 */
  /* |h5| <= 2^24; from now on fits into int32 */
  /* |h2| <= 1.41*2^60 */
  /* |h6| <= 1.41*2^60 */

  carry2 = (h2 + (crypto_int64) (1<<25)) >> 26; h3 += carry2; h2 -= carry2 << 26;
  carry6 = (h6 + (crypto_int64) (1<<25)) >> 26; h7 += carry6; h6 -= carry6 << 26;
  /* |h2| <= 2^25; from now on fits into int32 unchanged */
  /* |h6| <= 2^25; from now on fits into int32 unchanged */
  /* |h3| <= 1.71*2^59 */
  /* |h7| <= 1.71*2^59 */

  carry3 = (h3 + (crypto_int64) (1<<24)) >> 25; h4 += carry3; h3 -= carry3 << 25;
  carry7 = (h7 + (crypto_int64) (1<<24)) >> 25; h8 += carry7; h7 -= carry7 << 25;
  /* |h3| <= 2^24; from now on fits into int32 unchanged */
  /* |h7| <= 2^24; from now on fits into int32 unchanged */
  /* |h4| <= 1.72*2^34 */
  /* |h8| <= 1.41*2^60 */

  carry4 = (h4 + (crypto_int64) (1<<25)) >> 26; h5 += carry4; h4 -= carry4 << 26;
  carry8 = (h8 + (crypto_int64) (1<<25)) >> 26; h9 += carry8; h8 -= carry8 << 26;
  /* |h4| <= 2^25; from now on fits into int32 unchanged */
  /* |h8| <= 2^25; from now on fits into int32 unchanged */
  /* |h5| <= 1.01*2^24 */
  /* |h9| <= 1.71*2^59 */

  carry9 = (h9 + (crypto_int64) (1<<24)) >> 25; h0 += carry9 * 19; h9 -= carry9 << 25;
  /* |h9| <= 2^24; from now on fits into int32 unchanged */
  /* |h0| <= 1.1*2^39 */

  carry0 = (h0 + (crypto_int64) (1<<25)) >> 26; h1 += carry0; h0 -= carry0 << 26;
  /* |h0| <= 2^25; from now on fits into int32 unchanged */
  /* |h1| <= 1.01*2^24 */

  h[0] = h0;
  h[1] = h1;
  h[2] = h2;
  h[3] = h3;
  h[4] = h4;
  h[5] = h5;
  h[6] = h6;
  h[7] = h7;
  h[8] = h8;
  h[9] = h9;
}


/*
return 1 if f is in {1,3,5,...,q-2}
return 0 if f is in {0,2,4,...,q-1}

Preconditions:
   |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/

static int fe_isnegative(const fe f)
{
  unsigned char s[32];
  fe_tobytes(s,f);
  return s[0] & 1;
}


/*
return 1 if f == 0
return 0 if f != 0

Preconditions:
   |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc.
*/

static const unsigned char zero[32] = {0};

static int fe_isnonzero(const fe f)
{
  unsigned char s[32];
  fe_tobytes(s,f);
  return crypto_verify_32(s,zero);
}

/*
h = -f

Preconditions:
   |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.

Postconditions:
   |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc.
*/

static void fe_neg(fe h,const fe f)
{
  crypto_int32 f0 = f[0];
  crypto_int32 f1 = f[1];
  crypto_int32 f2 = f[2];
  crypto_int32 f3 = f[3];
  crypto_int32 f4 = f[4];
  crypto_int32 f5 = f[5];
  crypto_int32 f6 = f[6];
  crypto_int32 f7 = f[7];
  crypto_int32 f8 = f[8];
  crypto_int32 f9 = f[9];
  crypto_int32 h0 = -f0;
  crypto_int32 h1 = -f1;
  crypto_int32 h2 = -f2;
  crypto_int32 h3 = -f3;
  crypto_int32 h4 = -f4;
  crypto_int32 h5 = -f5;
  crypto_int32 h6 = -f6;
  crypto_int32 h7 = -f7;
  crypto_int32 h8 = -f8;
  crypto_int32 h9 = -f9;
  h[0] = h0;
  h[1] = h1;
  h[2] = h2;
  h[3] = h3;
  h[4] = h4;
  h[5] = h5;
  h[6] = h6;
  h[7] = h7;
  h[8] = h8;
  h[9] = h9;
}

static void fe_invert(fe out,const fe z)
{
  fe t0;
  fe t1;
  fe t2;
  fe t3;
  int i;


/* qhasm: fe z1 */

/* qhasm: fe z2 */

/* qhasm: fe z8 */

/* qhasm: fe z9 */

/* qhasm: fe z11 */

/* qhasm: fe z22 */

/* qhasm: fe z_5_0 */

/* qhasm: fe z_10_5 */

/* qhasm: fe z_10_0 */

/* qhasm: fe z_20_10 */

/* qhasm: fe z_20_0 */

/* qhasm: fe z_40_20 */

/* qhasm: fe z_40_0 */

/* qhasm: fe z_50_10 */

/* qhasm: fe z_50_0 */

/* qhasm: fe z_100_50 */

/* qhasm: fe z_100_0 */

/* qhasm: fe z_200_100 */

/* qhasm: fe z_200_0 */

/* qhasm: fe z_250_50 */

/* qhasm: fe z_250_0 */

/* qhasm: fe z_255_5 */

/* qhasm: fe z_255_21 */

/* qhasm: enter pow225521 */

/* qhasm: z2 = z1^2^1 */
/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */
/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */
fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0);

/* qhasm: z8 = z2^2^2 */
/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */
/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */
fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1);

/* qhasm: z9 = z1*z8 */
/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */
/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */
fe_mul(t1,z,t1);

/* qhasm: z11 = z2*z9 */
/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */
/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */
fe_mul(t0,t0,t1);

/* qhasm: z22 = z11^2^1 */
/* asm 1: fe_sq(>z22=fe#3,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#3,>z22=fe#3); */
/* asm 2: fe_sq(>z22=t2,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t2,>z22=t2); */
fe_sq(t2,t0); for (i = 1;i < 1;++i) fe_sq(t2,t2);

/* qhasm: z_5_0 = z9*z22 */
/* asm 1: fe_mul(>z_5_0=fe#2,<z9=fe#2,<z22=fe#3); */
/* asm 2: fe_mul(>z_5_0=t1,<z9=t1,<z22=t2); */
fe_mul(t1,t1,t2);

/* qhasm: z_10_5 = z_5_0^2^5 */
/* asm 1: fe_sq(>z_10_5=fe#3,<z_5_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#3,>z_10_5=fe#3); */
/* asm 2: fe_sq(>z_10_5=t2,<z_5_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t2,>z_10_5=t2); */
fe_sq(t2,t1); for (i = 1;i < 5;++i) fe_sq(t2,t2);

/* qhasm: z_10_0 = z_10_5*z_5_0 */
/* asm 1: fe_mul(>z_10_0=fe#2,<z_10_5=fe#3,<z_5_0=fe#2); */
/* asm 2: fe_mul(>z_10_0=t1,<z_10_5=t2,<z_5_0=t1); */
fe_mul(t1,t2,t1);

/* qhasm: z_20_10 = z_10_0^2^10 */
/* asm 1: fe_sq(>z_20_10=fe#3,<z_10_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#3,>z_20_10=fe#3); */
/* asm 2: fe_sq(>z_20_10=t2,<z_10_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t2,>z_20_10=t2); */
fe_sq(t2,t1); for (i = 1;i < 10;++i) fe_sq(t2,t2);

/* qhasm: z_20_0 = z_20_10*z_10_0 */
/* asm 1: fe_mul(>z_20_0=fe#3,<z_20_10=fe#3,<z_10_0=fe#2); */
/* asm 2: fe_mul(>z_20_0=t2,<z_20_10=t2,<z_10_0=t1); */
fe_mul(t2,t2,t1);

/* qhasm: z_40_20 = z_20_0^2^20 */
/* asm 1: fe_sq(>z_40_20=fe#4,<z_20_0=fe#3); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#4,>z_40_20=fe#4); */
/* asm 2: fe_sq(>z_40_20=t3,<z_20_0=t2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t3,>z_40_20=t3); */
fe_sq(t3,t2); for (i = 1;i < 20;++i) fe_sq(t3,t3);

/* qhasm: z_40_0 = z_40_20*z_20_0 */
/* asm 1: fe_mul(>z_40_0=fe#3,<z_40_20=fe#4,<z_20_0=fe#3); */
/* asm 2: fe_mul(>z_40_0=t2,<z_40_20=t3,<z_20_0=t2); */
fe_mul(t2,t3,t2);

/* qhasm: z_50_10 = z_40_0^2^10 */
/* asm 1: fe_sq(>z_50_10=fe#3,<z_40_0=fe#3); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#3,>z_50_10=fe#3); */
/* asm 2: fe_sq(>z_50_10=t2,<z_40_0=t2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t2,>z_50_10=t2); */
fe_sq(t2,t2); for (i = 1;i < 10;++i) fe_sq(t2,t2);

/* qhasm: z_50_0 = z_50_10*z_10_0 */
/* asm 1: fe_mul(>z_50_0=fe#2,<z_50_10=fe#3,<z_10_0=fe#2); */
/* asm 2: fe_mul(>z_50_0=t1,<z_50_10=t2,<z_10_0=t1); */
fe_mul(t1,t2,t1);

/* qhasm: z_100_50 = z_50_0^2^50 */
/* asm 1: fe_sq(>z_100_50=fe#3,<z_50_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#3,>z_100_50=fe#3); */
/* asm 2: fe_sq(>z_100_50=t2,<z_50_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t2,>z_100_50=t2); */
fe_sq(t2,t1); for (i = 1;i < 50;++i) fe_sq(t2,t2);

/* qhasm: z_100_0 = z_100_50*z_50_0 */
/* asm 1: fe_mul(>z_100_0=fe#3,<z_100_50=fe#3,<z_50_0=fe#2); */
/* asm 2: fe_mul(>z_100_0=t2,<z_100_50=t2,<z_50_0=t1); */
fe_mul(t2,t2,t1);

/* qhasm: z_200_100 = z_100_0^2^100 */
/* asm 1: fe_sq(>z_200_100=fe#4,<z_100_0=fe#3); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#4,>z_200_100=fe#4); */
/* asm 2: fe_sq(>z_200_100=t3,<z_100_0=t2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t3,>z_200_100=t3); */
fe_sq(t3,t2); for (i = 1;i < 100;++i) fe_sq(t3,t3);

/* qhasm: z_200_0 = z_200_100*z_100_0 */
/* asm 1: fe_mul(>z_200_0=fe#3,<z_200_100=fe#4,<z_100_0=fe#3); */
/* asm 2: fe_mul(>z_200_0=t2,<z_200_100=t3,<z_100_0=t2); */
fe_mul(t2,t3,t2);

/* qhasm: z_250_50 = z_200_0^2^50 */
/* asm 1: fe_sq(>z_250_50=fe#3,<z_200_0=fe#3); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#3,>z_250_50=fe#3); */
/* asm 2: fe_sq(>z_250_50=t2,<z_200_0=t2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t2,>z_250_50=t2); */
fe_sq(t2,t2); for (i = 1;i < 50;++i) fe_sq(t2,t2);

/* qhasm: z_250_0 = z_250_50*z_50_0 */
/* asm 1: fe_mul(>z_250_0=fe#2,<z_250_50=fe#3,<z_50_0=fe#2); */
/* asm 2: fe_mul(>z_250_0=t1,<z_250_50=t2,<z_50_0=t1); */
fe_mul(t1,t2,t1);

/* qhasm: z_255_5 = z_250_0^2^5 */
/* asm 1: fe_sq(>z_255_5=fe#2,<z_250_0=fe#2); for (i = 1;i < 5;++i) fe_sq(>z_255_5=fe#2,>z_255_5=fe#2); */
/* asm 2: fe_sq(>z_255_5=t1,<z_250_0=t1); for (i = 1;i < 5;++i) fe_sq(>z_255_5=t1,>z_255_5=t1); */
fe_sq(t1,t1); for (i = 1;i < 5;++i) fe_sq(t1,t1);

/* qhasm: z_255_21 = z_255_5*z11 */
/* asm 1: fe_mul(>z_255_21=fe#12,<z_255_5=fe#2,<z11=fe#1); */
/* asm 2: fe_mul(>z_255_21=out,<z_255_5=t1,<z11=t0); */
fe_mul(out,t1,t0);

/* qhasm: return */

  return;
}


static void fe_pow22523(fe out,const fe z)
{
  fe t0;
  fe t1;
  fe t2;
  int i;


/* qhasm: fe z1 */

/* qhasm: fe z2 */

/* qhasm: fe z8 */

/* qhasm: fe z9 */

/* qhasm: fe z11 */

/* qhasm: fe z22 */

/* qhasm: fe z_5_0 */

/* qhasm: fe z_10_5 */

/* qhasm: fe z_10_0 */

/* qhasm: fe z_20_10 */

/* qhasm: fe z_20_0 */

/* qhasm: fe z_40_20 */

/* qhasm: fe z_40_0 */

/* qhasm: fe z_50_10 */

/* qhasm: fe z_50_0 */

/* qhasm: fe z_100_50 */

/* qhasm: fe z_100_0 */

/* qhasm: fe z_200_100 */

/* qhasm: fe z_200_0 */

/* qhasm: fe z_250_50 */

/* qhasm: fe z_250_0 */

/* qhasm: fe z_252_2 */

/* qhasm: fe z_252_3 */

/* qhasm: enter pow22523 */

/* qhasm: z2 = z1^2^1 */
/* asm 1: fe_sq(>z2=fe#1,<z1=fe#11); for (i = 1;i < 1;++i) fe_sq(>z2=fe#1,>z2=fe#1); */
/* asm 2: fe_sq(>z2=t0,<z1=z); for (i = 1;i < 1;++i) fe_sq(>z2=t0,>z2=t0); */
fe_sq(t0,z); for (i = 1;i < 1;++i) fe_sq(t0,t0);

/* qhasm: z8 = z2^2^2 */
/* asm 1: fe_sq(>z8=fe#2,<z2=fe#1); for (i = 1;i < 2;++i) fe_sq(>z8=fe#2,>z8=fe#2); */
/* asm 2: fe_sq(>z8=t1,<z2=t0); for (i = 1;i < 2;++i) fe_sq(>z8=t1,>z8=t1); */
fe_sq(t1,t0); for (i = 1;i < 2;++i) fe_sq(t1,t1);

/* qhasm: z9 = z1*z8 */
/* asm 1: fe_mul(>z9=fe#2,<z1=fe#11,<z8=fe#2); */
/* asm 2: fe_mul(>z9=t1,<z1=z,<z8=t1); */
fe_mul(t1,z,t1);

/* qhasm: z11 = z2*z9 */
/* asm 1: fe_mul(>z11=fe#1,<z2=fe#1,<z9=fe#2); */
/* asm 2: fe_mul(>z11=t0,<z2=t0,<z9=t1); */
fe_mul(t0,t0,t1);

/* qhasm: z22 = z11^2^1 */
/* asm 1: fe_sq(>z22=fe#1,<z11=fe#1); for (i = 1;i < 1;++i) fe_sq(>z22=fe#1,>z22=fe#1); */
/* asm 2: fe_sq(>z22=t0,<z11=t0); for (i = 1;i < 1;++i) fe_sq(>z22=t0,>z22=t0); */
fe_sq(t0,t0); for (i = 1;i < 1;++i) fe_sq(t0,t0);

/* qhasm: z_5_0 = z9*z22 */
/* asm 1: fe_mul(>z_5_0=fe#1,<z9=fe#2,<z22=fe#1); */
/* asm 2: fe_mul(>z_5_0=t0,<z9=t1,<z22=t0); */
fe_mul(t0,t1,t0);

/* qhasm: z_10_5 = z_5_0^2^5 */
/* asm 1: fe_sq(>z_10_5=fe#2,<z_5_0=fe#1); for (i = 1;i < 5;++i) fe_sq(>z_10_5=fe#2,>z_10_5=fe#2); */
/* asm 2: fe_sq(>z_10_5=t1,<z_5_0=t0); for (i = 1;i < 5;++i) fe_sq(>z_10_5=t1,>z_10_5=t1); */
fe_sq(t1,t0); for (i = 1;i < 5;++i) fe_sq(t1,t1);

/* qhasm: z_10_0 = z_10_5*z_5_0 */
/* asm 1: fe_mul(>z_10_0=fe#1,<z_10_5=fe#2,<z_5_0=fe#1); */
/* asm 2: fe_mul(>z_10_0=t0,<z_10_5=t1,<z_5_0=t0); */
fe_mul(t0,t1,t0);

/* qhasm: z_20_10 = z_10_0^2^10 */
/* asm 1: fe_sq(>z_20_10=fe#2,<z_10_0=fe#1); for (i = 1;i < 10;++i) fe_sq(>z_20_10=fe#2,>z_20_10=fe#2); */
/* asm 2: fe_sq(>z_20_10=t1,<z_10_0=t0); for (i = 1;i < 10;++i) fe_sq(>z_20_10=t1,>z_20_10=t1); */
fe_sq(t1,t0); for (i = 1;i < 10;++i) fe_sq(t1,t1);

/* qhasm: z_20_0 = z_20_10*z_10_0 */
/* asm 1: fe_mul(>z_20_0=fe#2,<z_20_10=fe#2,<z_10_0=fe#1); */
/* asm 2: fe_mul(>z_20_0=t1,<z_20_10=t1,<z_10_0=t0); */
fe_mul(t1,t1,t0);

/* qhasm: z_40_20 = z_20_0^2^20 */
/* asm 1: fe_sq(>z_40_20=fe#3,<z_20_0=fe#2); for (i = 1;i < 20;++i) fe_sq(>z_40_20=fe#3,>z_40_20=fe#3); */
/* asm 2: fe_sq(>z_40_20=t2,<z_20_0=t1); for (i = 1;i < 20;++i) fe_sq(>z_40_20=t2,>z_40_20=t2); */
fe_sq(t2,t1); for (i = 1;i < 20;++i) fe_sq(t2,t2);

/* qhasm: z_40_0 = z_40_20*z_20_0 */
/* asm 1: fe_mul(>z_40_0=fe#2,<z_40_20=fe#3,<z_20_0=fe#2); */
/* asm 2: fe_mul(>z_40_0=t1,<z_40_20=t2,<z_20_0=t1); */
fe_mul(t1,t2,t1);

/* qhasm: z_50_10 = z_40_0^2^10 */
/* asm 1: fe_sq(>z_50_10=fe#2,<z_40_0=fe#2); for (i = 1;i < 10;++i) fe_sq(>z_50_10=fe#2,>z_50_10=fe#2); */
/* asm 2: fe_sq(>z_50_10=t1,<z_40_0=t1); for (i = 1;i < 10;++i) fe_sq(>z_50_10=t1,>z_50_10=t1); */
fe_sq(t1,t1); for (i = 1;i < 10;++i) fe_sq(t1,t1);

/* qhasm: z_50_0 = z_50_10*z_10_0 */
/* asm 1: fe_mul(>z_50_0=fe#1,<z_50_10=fe#2,<z_10_0=fe#1); */
/* asm 2: fe_mul(>z_50_0=t0,<z_50_10=t1,<z_10_0=t0); */
fe_mul(t0,t1,t0);

/* qhasm: z_100_50 = z_50_0^2^50 */
/* asm 1: fe_sq(>z_100_50=fe#2,<z_50_0=fe#1); for (i = 1;i < 50;++i) fe_sq(>z_100_50=fe#2,>z_100_50=fe#2); */
/* asm 2: fe_sq(>z_100_50=t1,<z_50_0=t0); for (i = 1;i < 50;++i) fe_sq(>z_100_50=t1,>z_100_50=t1); */
fe_sq(t1,t0); for (i = 1;i < 50;++i) fe_sq(t1,t1);

/* qhasm: z_100_0 = z_100_50*z_50_0 */
/* asm 1: fe_mul(>z_100_0=fe#2,<z_100_50=fe#2,<z_50_0=fe#1); */
/* asm 2: fe_mul(>z_100_0=t1,<z_100_50=t1,<z_50_0=t0); */
fe_mul(t1,t1,t0);

/* qhasm: z_200_100 = z_100_0^2^100 */
/* asm 1: fe_sq(>z_200_100=fe#3,<z_100_0=fe#2); for (i = 1;i < 100;++i) fe_sq(>z_200_100=fe#3,>z_200_100=fe#3); */
/* asm 2: fe_sq(>z_200_100=t2,<z_100_0=t1); for (i = 1;i < 100;++i) fe_sq(>z_200_100=t2,>z_200_100=t2); */
fe_sq(t2,t1); for (i = 1;i < 100;++i) fe_sq(t2,t2);

/* qhasm: z_200_0 = z_200_100*z_100_0 */
/* asm 1: fe_mul(>z_200_0=fe#2,<z_200_100=fe#3,<z_100_0=fe#2); */
/* asm 2: fe_mul(>z_200_0=t1,<z_200_100=t2,<z_100_0=t1); */
fe_mul(t1,t2,t1);

/* qhasm: z_250_50 = z_200_0^2^50 */
/* asm 1: fe_sq(>z_250_50=fe#2,<z_200_0=fe#2); for (i = 1;i < 50;++i) fe_sq(>z_250_50=fe#2,>z_250_50=fe#2); */
/* asm 2: fe_sq(>z_250_50=t1,<z_200_0=t1); for (i = 1;i < 50;++i) fe_sq(>z_250_50=t1,>z_250_50=t1); */
fe_sq(t1,t1); for (i = 1;i < 50;++i) fe_sq(t1,t1);

/* qhasm: z_250_0 = z_250_50*z_50_0 */
/* asm 1: fe_mul(>z_250_0=fe#1,<z_250_50=fe#2,<z_50_0=fe#1); */
/* asm 2: fe_mul(>z_250_0=t0,<z_250_50=t1,<z_50_0=t0); */
fe_mul(t0,t1,t0);

/* qhasm: z_252_2 = z_250_0^2^2 */
/* asm 1: fe_sq(>z_252_2=fe#1,<z_250_0=fe#1); for (i = 1;i < 2;++i) fe_sq(>z_252_2=fe#1,>z_252_2=fe#1); */
/* asm 2: fe_sq(>z_252_2=t0,<z_250_0=t0); for (i = 1;i < 2;++i) fe_sq(>z_252_2=t0,>z_252_2=t0); */
fe_sq(t0,t0); for (i = 1;i < 2;++i) fe_sq(t0,t0);

/* qhasm: z_252_3 = z_252_2*z1 */
/* asm 1: fe_mul(>z_252_3=fe#12,<z_252_2=fe#1,<z1=fe#11); */
/* asm 2: fe_mul(>z_252_3=out,<z_252_2=t0,<z1=z); */
fe_mul(out,t0,z);

/* qhasm: return */


  return;
}


/*
ge means group element.

Here the group is the set of pairs (x,y) of field elements (see fe.h)
satisfying -x^2 + y^2 = 1 + d x^2y^2
where d = -121665/121666.

Representations:
  ge_p2 (projective): (X:Y:Z) satisfying x=X/Z, y=Y/Z
  ge_p3 (extended): (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT
  ge_p1p1 (completed): ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T
  ge_precomp (Duif): (y+x,y-x,2dxy)
*/

typedef struct {
  fe X;
  fe Y;
  fe Z;
} ge_p2;

typedef struct {
  fe X;
  fe Y;
  fe Z;
  fe T;
} ge_p3;

typedef struct {
  fe X;
  fe Y;
  fe Z;
  fe T;
} ge_p1p1;

typedef struct {
  fe yplusx;
  fe yminusx;
  fe xy2d;
} ge_precomp;

typedef struct {
  fe YplusX;
  fe YminusX;
  fe Z;
  fe T2d;
} ge_cached;

static const fe d = {
-10913610,13857413,-15372611,6949391,114729,-8787816,-6275908,-3247719,-18696448,-12055116
} ;

static const fe sqrtm1 = {
-32595792,-7943725,9377950,3500415,12389472,-272473,-25146209,-2005654,326686,11406482
} ;

static const fe d2 = {
-21827239,-5839606,-30745221,13898782,229458,15978800,-12551817,-6495438,29715968,9444199
} ;

static ge_precomp Bi[8] = {
 {
  { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 },
  { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 },
  { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 },
 },
 {
  { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 },
  { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 },
  { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 },
 },
 {
  { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 },
  { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 },
  { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 },
 },
 {
  { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 },
  { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 },
  { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 },
 },
 {
  { -22518993,-6692182,14201702,-8745502,-23510406,8844726,18474211,-1361450,-13062696,13821877 },
  { -6455177,-7839871,3374702,-4740862,-27098617,-10571707,31655028,-7212327,18853322,-14220951 },
  { 4566830,-12963868,-28974889,-12240689,-7602672,-2830569,-8514358,-10431137,2207753,-3209784 },
 },
 {
  { -25154831,-4185821,29681144,7868801,-6854661,-9423865,-12437364,-663000,-31111463,-16132436 },
  { 25576264,-2703214,7349804,-11814844,16472782,9300885,3844789,15725684,171356,6466918 },
  { 23103977,13316479,9739013,-16149481,817875,-15038942,8965339,-14088058,-30714912,16193877 },
 },
 {
  { -33521811,3180713,-2394130,14003687,-16903474,-16270840,17238398,4729455,-18074513,9256800 },
  { -25182317,-4174131,32336398,5036987,-21236817,11360617,22616405,9761698,-19827198,630305 },
  { -13720693,2639453,-24237460,-7406481,9494427,-5774029,-6554551,-15960994,-2449256,-14291300 },
 },
 {
  { -3151181,-5046075,9282714,6866145,-31907062,-863023,-18940575,15033784,25105118,-7894876 },
  { -24326370,15950226,-31801215,-14592823,-11662737,-5090925,1573892,-2625887,2198790,-15804619 },
  { -3099351,10324967,-2241613,7453183,-5446979,-2735503,-13812022,-16236442,-32461234,-12290683 },
 },
} ;


/* base[i][j] = (j+1)*256^i*B */
static ge_precomp base[32][8] = {
{
 {
  { 25967493,-14356035,29566456,3660896,-12694345,4014787,27544626,-11754271,-6079156,2047605 },
  { -12545711,934262,-2722910,3049990,-727428,9406986,12720692,5043384,19500929,-15469378 },
  { -8738181,4489570,9688441,-14785194,10184609,-12363380,29287919,11864899,-24514362,-4438546 },
 },
 {
  { -12815894,-12976347,-21581243,11784320,-25355658,-2750717,-11717903,-3814571,-358445,-10211303 },
  { -21703237,6903825,27185491,6451973,-29577724,-9554005,-15616551,11189268,-26829678,-5319081 },
  { 26966642,11152617,32442495,15396054,14353839,-12752335,-3128826,-9541118,-15472047,-4166697 },
 },
 {
  { 15636291,-9688557,24204773,-7912398,616977,-16685262,27787600,-14772189,28944400,-1550024 },
  { 16568933,4717097,-11556148,-1102322,15682896,-11807043,16354577,-11775962,7689662,11199574 },
  { 30464156,-5976125,-11779434,-15670865,23220365,15915852,7512774,10017326,-17749093,-9920357 },
 },
 {
  { -17036878,13921892,10945806,-6033431,27105052,-16084379,-28926210,15006023,3284568,-6276540 },
  { 23599295,-8306047,-11193664,-7687416,13236774,10506355,7464579,9656445,13059162,10374397 },
  { 7798556,16710257,3033922,2874086,28997861,2835604,32406664,-3839045,-641708,-101325 },
 },
 {
  { 10861363,11473154,27284546,1981175,-30064349,12577861,32867885,14515107,-15438304,10819380 },
  { 4708026,6336745,20377586,9066809,-11272109,6594696,-25653668,12483688,-12668491,5581306 },
  { 19563160,16186464,-29386857,4097519,10237984,-4348115,28542350,13850243,-23678021,-15815942 },
 },
 {
  { -15371964,-12862754,32573250,4720197,-26436522,5875511,-19188627,-15224819,-9818940,-12085777 },
  { -8549212,109983,15149363,2178705,22900618,4543417,3044240,-15689887,1762328,14866737 },
  { -18199695,-15951423,-10473290,1707278,-17185920,3916101,-28236412,3959421,27914454,4383652 },
 },
 {
  { 5153746,9909285,1723747,-2777874,30523605,5516873,19480852,5230134,-23952439,-15175766 },
  { -30269007,-3463509,7665486,10083793,28475525,1649722,20654025,16520125,30598449,7715701 },
  { 28881845,14381568,9657904,3680757,-20181635,7843316,-31400660,1370708,29794553,-1409300 },
 },
 {
  { 14499471,-2729599,-33191113,-4254652,28494862,14271267,30290735,10876454,-33154098,2381726 },
  { -7195431,-2655363,-14730155,462251,-27724326,3941372,-6236617,3696005,-32300832,15351955 },
  { 27431194,8222322,16448760,-3907995,-18707002,11938355,-32961401,-2970515,29551813,10109425 },
 },
},
{
 {
  { -13657040,-13155431,-31283750,11777098,21447386,6519384,-2378284,-1627556,10092783,-4764171 },
  { 27939166,14210322,4677035,16277044,-22964462,-12398139,-32508754,12005538,-17810127,12803510 },
  { 17228999,-15661624,-1233527,300140,-1224870,-11714777,30364213,-9038194,18016357,4397660 },
 },
 {
  { -10958843,-7690207,4776341,-14954238,27850028,-15602212,-26619106,14544525,-17477504,982639 },
  { 29253598,15796703,-2863982,-9908884,10057023,3163536,7332899,-4120128,-21047696,9934963 },
  { 5793303,16271923,-24131614,-10116404,29188560,1206517,-14747930,4559895,-30123922,-10897950 },
 },
 {
  { -27643952,-11493006,16282657,-11036493,28414021,-15012264,24191034,4541697,-13338309,5500568 },
  { 12650548,-1497113,9052871,11355358,-17680037,-8400164,-17430592,12264343,10874051,13524335 },
  { 25556948,-3045990,714651,2510400,23394682,-10415330,33119038,5080568,-22528059,5376628 },
 },
 {
  { -26088264,-4011052,-17013699,-3537628,-6726793,1920897,-22321305,-9447443,4535768,1569007 },
  { -2255422,14606630,-21692440,-8039818,28430649,8775819,-30494562,3044290,31848280,12543772 },
  { -22028579,2943893,-31857513,6777306,13784462,-4292203,-27377195,-2062731,7718482,14474653 },
 },
 {
  { 2385315,2454213,-22631320,46603,-4437935,-15680415,656965,-7236665,24316168,-5253567 },
  { 13741529,10911568,-33233417,-8603737,-20177830,-1033297,33040651,-13424532,-20729456,8321686 },
  { 21060490,-2212744,15712757,-4336099,1639040,10656336,23845965,-11874838,-9984458,608372 },
 },
 {
  { -13672732,-15087586,-10889693,-7557059,-6036909,11305547,1123968,-6780577,27229399,23887 },
  { -23244140,-294205,-11744728,14712571,-29465699,-2029617,12797024,-6440308,-1633405,16678954 },
  { -29500620,4770662,-16054387,14001338,7830047,9564805,-1508144,-4795045,-17169265,4904953 },
 },
 {
  { 24059557,14617003,19037157,-15039908,19766093,-14906429,5169211,16191880,2128236,-4326833 },
  { -16981152,4124966,-8540610,-10653797,30336522,-14105247,-29806336,916033,-6882542,-2986532 },
  { -22630907,12419372,-7134229,-7473371,-16478904,16739175,285431,2763829,15736322,4143876 },
 },
 {
  { 2379352,11839345,-4110402,-5988665,11274298,794957,212801,-14594663,23527084,-16458268 },
  { 33431127,-11130478,-17838966,-15626900,8909499,8376530,-32625340,4087881,-15188911,-14416214 },
  { 1767683,7197987,-13205226,-2022635,-13091350,448826,5799055,4357868,-4774191,-16323038 },
 },
},
{
 {
  { 6721966,13833823,-23523388,-1551314,26354293,-11863321,23365147,-3949732,7390890,2759800 },
  { 4409041,2052381,23373853,10530217,7676779,-12885954,21302353,-4264057,1244380,-12919645 },
  { -4421239,7169619,4982368,-2957590,30256825,-2777540,14086413,9208236,15886429,16489664 },
 },
 {
  { 1996075,10375649,14346367,13311202,-6874135,-16438411,-13693198,398369,-30606455,-712933 },
  { -25307465,9795880,-2777414,14878809,-33531835,14780363,13348553,12076947,-30836462,5113182 },
  { -17770784,11797796,31950843,13929123,-25888302,12288344,-30341101,-7336386,13847711,5387222 },
 },
 {
  { -18582163,-3416217,17824843,-2340966,22744343,-10442611,8763061,3617786,-19600662,10370991 },
  { 20246567,-14369378,22358229,-543712,18507283,-10413996,14554437,-8746092,32232924,16763880 },
  { 9648505,10094563,26416693,14745928,-30374318,-6472621,11094161,15689506,3140038,-16510092 },
 },
 {
  { -16160072,5472695,31895588,4744994,8823515,10365685,-27224800,9448613,-28774454,366295 },
  { 19153450,11523972,-11096490,-6503142,-24647631,5420647,28344573,8041113,719605,11671788 },
  { 8678025,2694440,-6808014,2517372,4964326,11152271,-15432916,-15266516,27000813,-10195553 },
 },
 {
  { -15157904,7134312,8639287,-2814877,-7235688,10421742,564065,5336097,6750977,-14521026 },
  { 11836410,-3979488,26297894,16080799,23455045,15735944,1695823,-8819122,8169720,16220347 },
  { -18115838,8653647,17578566,-6092619,-8025777,-16012763,-11144307,-2627664,-5990708,-14166033 },
 },
 {
  { -23308498,-10968312,15213228,-10081214,-30853605,-11050004,27884329,2847284,2655861,1738395 },
  { -27537433,-14253021,-25336301,-8002780,-9370762,8129821,21651608,-3239336,-19087449,-11005278 },
  { 1533110,3437855,23735889,459276,29970501,11335377,26030092,5821408,10478196,8544890 },
 },
 {
  { 32173121,-16129311,24896207,3921497,22579056,-3410854,19270449,12217473,17789017,-3395995 },
  { -30552961,-2228401,-15578829,-10147201,13243889,517024,15479401,-3853233,30460520,1052596 },
  { -11614875,13323618,32618793,8175907,-15230173,12596687,27491595,-4612359,3179268,-9478891 },
 },
 {
  { 31947069,-14366651,-4640583,-15339921,-15125977,-6039709,-14756777,-16411740,19072640,-9511060 },
  { 11685058,11822410,3158003,-13952594,33402194,-4165066,5977896,-5215017,473099,5040608 },
  { -20290863,8198642,-27410132,11602123,1290375,-2799760,28326862,1721092,-19558642,-3131606 },
 },
},
{
 {
  { 7881532,10687937,7578723,7738378,-18951012,-2553952,21820786,8076149,-27868496,11538389 },
  { -19935666,3899861,18283497,-6801568,-15728660,-11249211,8754525,7446702,-5676054,5797016 },
  { -11295600,-3793569,-15782110,-7964573,12708869,-8456199,2014099,-9050574,-2369172,-5877341 },
 },
 {
  { -22472376,-11568741,-27682020,1146375,18956691,16640559,1192730,-3714199,15123619,10811505 },
  { 14352098,-3419715,-18942044,10822655,32750596,4699007,-70363,15776356,-28886779,-11974553 },
  { -28241164,-8072475,-4978962,-5315317,29416931,1847569,-20654173,-16484855,4714547,-9600655 },
 },
 {
  { 15200332,8368572,19679101,15970074,-31872674,1959451,24611599,-4543832,-11745876,12340220 },
  { 12876937,-10480056,33134381,6590940,-6307776,14872440,9613953,8241152,15370987,9608631 },
  { -4143277,-12014408,8446281,-391603,4407738,13629032,-7724868,15866074,-28210621,-8814099 },
 },
 {
  { 26660628,-15677655,8393734,358047,-7401291,992988,-23904233,858697,20571223,8420556 },
  { 14620715,13067227,-15447274,8264467,14106269,15080814,33531827,12516406,-21574435,-12476749 },
  { 236881,10476226,57258,-14677024,6472998,2466984,17258519,7256740,8791136,15069930 },
 },
 {
  { 1276410,-9371918,22949635,-16322807,-23493039,-5702186,14711875,4874229,-30663140,-2331391 },
  { 5855666,4990204,-13711848,7294284,-7804282,1924647,-1423175,-7912378,-33069337,9234253 },
  { 20590503,-9018988,31529744,-7352666,-2706834,10650548,31559055,-11609587,18979186,13396066 },
 },
 {
  { 24474287,4968103,22267082,4407354,24063882,-8325180,-18816887,13594782,33514650,7021958 },
  { -11566906,-6565505,-21365085,15928892,-26158305,4315421,-25948728,-3916677,-21480480,12868082 },
  { -28635013,13504661,19988037,-2132761,21078225,6443208,-21446107,2244500,-12455797,-8089383 },
 },
 {
  { -30595528,13793479,-5852820,319136,-25723172,-6263899,33086546,8957937,-15233648,5540521 },
  { -11630176,-11503902,-8119500,-7643073,2620056,1022908,-23710744,-1568984,-16128528,-14962807 },
  { 23152971,775386,27395463,14006635,-9701118,4649512,1689819,892185,-11513277,-15205948 },
 },
 {
  { 9770129,9586738,26496094,4324120,1556511,-3550024,27453819,4763127,-19179614,5867134 },
  { -32765025,1927590,31726409,-4753295,23962434,-16019500,27846559,5931263,-29749703,-16108455 },
  { 27461885,-2977536,22380810,1815854,-23033753,-3031938,7283490,-15148073,-19526700,7734629 },
 },
},
{
 {
  { -8010264,-9590817,-11120403,6196038,29344158,-13430885,7585295,-3176626,18549497,15302069 },
  { -32658337,-6171222,-7672793,-11051681,6258878,13504381,10458790,-6418461,-8872242,8424746 },
  { 24687205,8613276,-30667046,-3233545,1863892,-1830544,19206234,7134917,-11284482,-828919 },
 },
 {
  { 11334899,-9218022,8025293,12707519,17523892,-10476071,10243738,-14685461,-5066034,16498837 },
  { 8911542,6887158,-9584260,-6958590,11145641,-9543680,17303925,-14124238,6536641,10543906 },
  { -28946384,15479763,-17466835,568876,-1497683,11223454,-2669190,-16625574,-27235709,8876771 },
 },
 {
  { -25742899,-12566864,-15649966,-846607,-33026686,-796288,-33481822,15824474,-604426,-9039817 },
  { 10330056,70051,7957388,-9002667,9764902,15609756,27698697,-4890037,1657394,3084098 },
  { 10477963,-7470260,12119566,-13250805,29016247,-5365589,31280319,14396151,-30233575,15272409 },
 },
 {
  { -12288309,3169463,28813183,16658753,25116432,-5630466,-25173957,-12636138,-25014757,1950504 },
  { -26180358,9489187,11053416,-14746161,-31053720,5825630,-8384306,-8767532,15341279,8373727 },
  { 28685821,7759505,-14378516,-12002860,-31971820,4079242,298136,-10232602,-2878207,15190420 },
 },
 {
  { -32932876,13806336,-14337485,-15794431,-24004620,10940928,8669718,2742393,-26033313,-6875003 },
  { -1580388,-11729417,-25979658,-11445023,-17411874,-10912854,9291594,-16247779,-12154742,6048605 },
  { -30305315,14843444,1539301,11864366,20201677,1900163,13934231,5128323,11213262,9168384 },
 },
 {
  { -26280513,11007847,19408960,-940758,-18592965,-4328580,-5088060,-11105150,20470157,-16398701 },
  { -23136053,9282192,14855179,-15390078,-7362815,-14408560,-22783952,14461608,14042978,5230683 },
  { 29969567,-2741594,-16711867,-8552442,9175486,-2468974,21556951,3506042,-5933891,-12449708 },
 },
 {
  { -3144746,8744661,19704003,4581278,-20430686,6830683,-21284170,8971513,-28539189,15326563 },
  { -19464629,10110288,-17262528,-3503892,-23500387,1355669,-15523050,15300988,-20514118,9168260 },
  { -5353335,4488613,-23803248,16314347,7780487,-15638939,-28948358,9601605,33087103,-9011387 },
 },
 {
  { -19443170,-15512900,-20797467,-12445323,-29824447,10229461,-27444329,-15000531,-5996870,15664672 },
  { 23294591,-16632613,-22650781,-8470978,27844204,11461195,13099750,-2460356,18151676,13417686 },
  { -24722913,-4176517,-31150679,5988919,-26858785,6685065,1661597,-12551441,15271676,-15452665 },
 },
},
{
 {
  { 11433042,-13228665,8239631,-5279517,-1985436,-725718,-18698764,2167544,-6921301,-13440182 },
  { -31436171,15575146,30436815,12192228,-22463353,9395379,-9917708,-8638997,12215110,12028277 },
  { 14098400,6555944,23007258,5757252,-15427832,-12950502,30123440,4617780,-16900089,-655628 },
 },
 {
  { -4026201,-15240835,11893168,13718664,-14809462,1847385,-15819999,10154009,23973261,-12684474 },
  { -26531820,-3695990,-1908898,2534301,-31870557,-16550355,18341390,-11419951,32013174,-10103539 },
  { -25479301,10876443,-11771086,-14625140,-12369567,1838104,21911214,6354752,4425632,-837822 },
 },
 {
  { -10433389,-14612966,22229858,-3091047,-13191166,776729,-17415375,-12020462,4725005,14044970 },
  { 19268650,-7304421,1555349,8692754,-21474059,-9910664,6347390,-1411784,-19522291,-16109756 },
  { -24864089,12986008,-10898878,-5558584,-11312371,-148526,19541418,8180106,9282262,10282508 },
 },
 {
  { -26205082,4428547,-8661196,-13194263,4098402,-14165257,15522535,8372215,5542595,-10702683 },
  { -10562541,14895633,26814552,-16673850,-17480754,-2489360,-2781891,6993761,-18093885,10114655 },
  { -20107055,-929418,31422704,10427861,-7110749,6150669,-29091755,-11529146,25953725,-106158 },
 },
 {
  { -4234397,-8039292,-9119125,3046000,2101609,-12607294,19390020,6094296,-3315279,12831125 },
  { -15998678,7578152,5310217,14408357,-33548620,-224739,31575954,6326196,7381791,-2421839 },
  { -20902779,3296811,24736065,-16328389,18374254,7318640,6295303,8082724,-15362489,12339664 },
 },
 {
  { 27724736,2291157,6088201,-14184798,1792727,5857634,13848414,15768922,25091167,14856294 },
  { -18866652,8331043,24373479,8541013,-701998,-9269457,12927300,-12695493,-22182473,-9012899 },
  { -11423429,-5421590,11632845,3405020,30536730,-11674039,-27260765,13866390,30146206,9142070 },
 },
 {
  { 3924129,-15307516,-13817122,-10054960,12291820,-668366,-27702774,9326384,-8237858,4171294 },
  { -15921940,16037937,6713787,16606682,-21612135,2790944,26396185,3731949,345228,-5462949 },
  { -21327538,13448259,25284571,1143661,20614966,-8849387,2031539,-12391231,-16253183,-13582083 },
 },
 {
  { 31016211,-16722429,26371392,-14451233,-5027349,14854137,17477601,3842657,28012650,-16405420 },
  { -5075835,9368966,-8562079,-4600902,-15249953,6970560,-9189873,16292057,-8867157,3507940 },
  { 29439664,3537914,23333589,6997794,-17555561,-11018068,-15209202,-15051267,-9164929,6580396 },
 },
},
{
 {
  { -12185861,-7679788,16438269,10826160,-8696817,-6235611,17860444,-9273846,-2095802,9304567 },
  { 20714564,-4336911,29088195,7406487,11426967,-5095705,14792667,-14608617,5289421,-477127 },
  { -16665533,-10650790,-6160345,-13305760,9192020,-1802462,17271490,12349094,26939669,-3752294 },
 },
 {
  { -12889898,9373458,31595848,16374215,21471720,13221525,-27283495,-12348559,-3698806,117887 },
  { 22263325,-6560050,3984570,-11174646,-15114008,-566785,28311253,5358056,-23319780,541964 },
  { 16259219,3261970,2309254,-15534474,-16885711,-4581916,24134070,-16705829,-13337066,-13552195 },
 },
 {
  { 9378160,-13140186,-22845982,-12745264,28198281,-7244098,-2399684,-717351,690426,14876244 },
  { 24977353,-314384,-8223969,-13465086,28432343,-1176353,-13068804,-12297348,-22380984,6618999 },
  { -1538174,11685646,12944378,13682314,-24389511,-14413193,8044829,-13817328,32239829,-5652762 },
 },
 {
  { -18603066,4762990,-926250,8885304,-28412480,-3187315,9781647,-10350059,32779359,5095274 },
  { -33008130,-5214506,-32264887,-3685216,9460461,-9327423,-24601656,14506724,21639561,-2630236 },
  { -16400943,-13112215,25239338,15531969,3987758,-4499318,-1289502,-6863535,17874574,558605 },
 },
 {
  { -13600129,10240081,9171883,16131053,-20869254,9599700,33499487,5080151,2085892,5119761 },
  { -22205145,-2519528,-16381601,414691,-25019550,2170430,30634760,-8363614,-31999993,-5759884 },
  { -6845704,15791202,8550074,-1312654,29928809,-12092256,27534430,-7192145,-22351378,12961482 },
 },
 {
  { -24492060,-9570771,10368194,11582341,-23397293,-2245287,16533930,8206996,-30194652,-5159638 },
  { -11121496,-3382234,2307366,6362031,-135455,8868177,-16835630,7031275,7589640,8945490 },
  { -32152748,8917967,6661220,-11677616,-1192060,-15793393,7251489,-11182180,24099109,-14456170 },
 },
 {
  { 5019558,-7907470,4244127,-14714356,-26933272,6453165,-19118182,-13289025,-6231896,-10280736 },
  { 10853594,10721687,26480089,5861829,-22995819,1972175,-1866647,-10557898,-3363451,-6441124 },
  { -17002408,5906790,221599,-6563147,7828208,-13248918,24362661,-2008168,-13866408,7421392 },
 },
 {
  { 8139927,-6546497,32257646,-5890546,30375719,1886181,-21175108,15441252,28826358,-4123029 },
  { 6267086,9695052,7709135,-16603597,-32869068,-1886135,14795160,-7840124,13746021,-1742048 },
  { 28584902,7787108,-6732942,-15050729,22846041,-7571236,-3181936,-363524,4771362,-8419958 },
 },
},
{
 {
  { 24949256,6376279,-27466481,-8174608,-18646154,-9930606,33543569,-12141695,3569627,11342593 },
  { 26514989,4740088,27912651,3697550,19331575,-11472339,6809886,4608608,7325975,-14801071 },
  { -11618399,-14554430,-24321212,7655128,-1369274,5214312,-27400540,10258390,-17646694,-8186692 },
 },
 {
  { 11431204,15823007,26570245,14329124,18029990,4796082,-31446179,15580664,9280358,-3973687 },
  { -160783,-10326257,-22855316,-4304997,-20861367,-13621002,-32810901,-11181622,-15545091,4387441 },
  { -20799378,12194512,3937617,-5805892,-27154820,9340370,-24513992,8548137,20617071,-7482001 },
 },
 {
  { -938825,-3930586,-8714311,16124718,24603125,-6225393,-13775352,-11875822,24345683,10325460 },
  { -19855277,-1568885,-22202708,8714034,14007766,6928528,16318175,-1010689,4766743,3552007 },
  { -21751364,-16730916,1351763,-803421,-4009670,3950935,3217514,14481909,10988822,-3994762 },
 },
 {
  { 15564307,-14311570,3101243,5684148,30446780,-8051356,12677127,-6505343,-8295852,13296005 },
  { -9442290,6624296,-30298964,-11913677,-4670981,-2057379,31521204,9614054,-30000824,12074674 },
  { 4771191,-135239,14290749,-13089852,27992298,14998318,-1413936,-1556716,29832613,-16391035 },
 },
 {
  { 7064884,-7541174,-19161962,-5067537,-18891269,-2912736,25825242,5293297,-27122660,13101590 },
  { -2298563,2439670,-7466610,1719965,-27267541,-16328445,32512469,-5317593,-30356070,-4190957 },
  { -30006540,10162316,-33180176,3981723,-16482138,-13070044,14413974,9515896,19568978,9628812 },
 },
 {
  { 33053803,199357,15894591,1583059,27380243,-4580435,-17838894,-6106839,-6291786,3437740 },
  { -18978877,3884493,19469877,12726490,15913552,13614290,-22961733,70104,7463304,4176122 },
  { -27124001,10659917,11482427,-16070381,12771467,-6635117,-32719404,-5322751,24216882,5944158 },
 },
 {
  { 8894125,7450974,-2664149,-9765752,-28080517,-12389115,19345746,14680796,11632993,5847885 },
  { 26942781,-2315317,9129564,-4906607,26024105,11769399,-11518837,6367194,-9727230,4782140 },
  { 19916461,-4828410,-22910704,-11414391,25606324,-5972441,33253853,8220911,6358847,-1873857 },
 },
 {
  { 801428,-2081702,16569428,11065167,29875704,96627,7908388,-4480480,-13538503,1387155 },
  { 19646058,5720633,-11416706,12814209,11607948,12749789,14147075,15156355,-21866831,11835260 },
  { 19299512,1155910,28703737,14890794,2925026,7269399,26121523,15467869,-26560550,5052483 },
 },
},
{
 {
  { -3017432,10058206,1980837,3964243,22160966,12322533,-6431123,-12618185,12228557,-7003677 },
  { 32944382,14922211,-22844894,5188528,21913450,-8719943,4001465,13238564,-6114803,8653815 },
  { 22865569,-4652735,27603668,-12545395,14348958,8234005,24808405,5719875,28483275,2841751 },
 },
 {
  { -16420968,-1113305,-327719,-12107856,21886282,-15552774,-1887966,-315658,19932058,-12739203 },
  { -11656086,10087521,-8864888,-5536143,-19278573,-3055912,3999228,13239134,-4777469,-13910208 },
  { 1382174,-11694719,17266790,9194690,-13324356,9720081,20403944,11284705,-14013818,3093230 },
 },
 {
  { 16650921,-11037932,-1064178,1570629,-8329746,7352753,-302424,16271225,-24049421,-6691850 },
  { -21911077,-5927941,-4611316,-5560156,-31744103,-10785293,24123614,15193618,-21652117,-16739389 },
  { -9935934,-4289447,-25279823,4372842,2087473,10399484,31870908,14690798,17361620,11864968 },
 },
 {
  { -11307610,6210372,13206574,5806320,-29017692,-13967200,-12331205,-7486601,-25578460,-16240689 },
  { 14668462,-12270235,26039039,15305210,25515617,4542480,10453892,6577524,9145645,-6443880 },
  { 5974874,3053895,-9433049,-10385191,-31865124,3225009,-7972642,3936128,-5652273,-3050304 },
 },
 {
  { 30625386,-4729400,-25555961,-12792866,-20484575,7695099,17097188,-16303496,-27999779,1803632 },
  { -3553091,9865099,-5228566,4272701,-5673832,-16689700,14911344,12196514,-21405489,7047412 },
  { 20093277,9920966,-11138194,-5343857,13161587,12044805,-32856851,4124601,-32343828,-10257566 },
 },
 {
  { -20788824,14084654,-13531713,7842147,19119038,-13822605,4752377,-8714640,-21679658,2288038 },
  { -26819236,-3283715,29965059,3039786,-14473765,2540457,29457502,14625692,-24819617,12570232 },
  { -1063558,-11551823,16920318,12494842,1278292,-5869109,-21159943,-3498680,-11974704,4724943 },
 },
 {
  { 17960970,-11775534,-4140968,-9702530,-8876562,-1410617,-12907383,-8659932,-29576300,1903856 },
  { 23134274,-14279132,-10681997,-1611936,20684485,15770816,-12989750,3190296,26955097,14109738 },
  { 15308788,5320727,-30113809,-14318877,22902008,7767164,29425325,-11277562,31960942,11934971 },
 },
 {
  { -27395711,8435796,4109644,12222639,-24627868,14818669,20638173,4875028,10491392,1379718 },
  { -13159415,9197841,3875503,-8936108,-1383712,-5879801,33518459,16176658,21432314,12180697 },
  { -11787308,11500838,13787581,-13832590,-22430679,10140205,1465425,12689540,-10301319,-13872883 },
 },
},
{
 {
  { 5414091,-15386041,-21007664,9643570,12834970,1186149,-2622916,-1342231,26128231,6032912 },
  { -26337395,-13766162,32496025,-13653919,17847801,-12669156,3604025,8316894,-25875034,-10437358 },
  { 3296484,6223048,24680646,-12246460,-23052020,5903205,-8862297,-4639164,12376617,3188849 },
 },
 {
  { 29190488,-14659046,27549113,-1183516,3520066,-10697301,32049515,-7309113,-16109234,-9852307 },
  { -14744486,-9309156,735818,-598978,-20407687,-5057904,25246078,-15795669,18640741,-960977 },
  { -6928835,-16430795,10361374,5642961,4910474,12345252,-31638386,-494430,10530747,1053335 },
 },
 {
  { -29265967,-14186805,-13538216,-12117373,-19457059,-10655384,-31462369,-2948985,24018831,15026644 },
  { -22592535,-3145277,-2289276,5953843,-13440189,9425631,25310643,13003497,-2314791,-15145616 },
  { -27419985,-603321,-8043984,-1669117,-26092265,13987819,-27297622,187899,-23166419,-2531735 },
 },
 {
  { -21744398,-13810475,1844840,5021428,-10434399,-15911473,9716667,16266922,-5070217,726099 },
  { 29370922,-6053998,7334071,-15342259,9385287,2247707,-13661962,-4839461,30007388,-15823341 },
  { -936379,16086691,23751945,-543318,-1167538,-5189036,9137109,730663,9835848,4555336 },
 },
 {
  { -23376435,1410446,-22253753,-12899614,30867635,15826977,17693930,544696,-11985298,12422646 },
  { 31117226,-12215734,-13502838,6561947,-9876867,-12757670,-5118685,-4096706,29120153,13924425 },
  { -17400879,-14233209,19675799,-2734756,-11006962,-5858820,-9383939,-11317700,7240931,-237388 },
 },
 {
  { -31361739,-11346780,-15007447,-5856218,-22453340,-12152771,1222336,4389483,3293637,-15551743 },
  { -16684801,-14444245,11038544,11054958,-13801175,-3338533,-24319580,7733547,12796905,-6335822 },
  { -8759414,-10817836,-25418864,10783769,-30615557,-9746811,-28253339,3647836,3222231,-11160462 },
 },
 {
  { 18606113,1693100,-25448386,-15170272,4112353,10045021,23603893,-2048234,-7550776,2484985 },
  { 9255317,-3131197,-12156162,-1004256,13098013,-9214866,16377220,-2102812,-19802075,-3034702 },
  { -22729289,7496160,-5742199,11329249,19991973,-3347502,-31718148,9936966,-30097688,-10618797 },
 },
 {
  { 21878590,-5001297,4338336,13643897,-3036865,13160960,19708896,5415497,-7360503,-4109293 },
  { 27736861,10103576,12500508,8502413,-3413016,-9633558,10436918,-1550276,-23659143,-8132100 },
  { 19492550,-12104365,-29681976,-852630,-3208171,12403437,30066266,8367329,13243957,8709688 },
 },
},
{
 {
  { 12015105,2801261,28198131,10151021,24818120,-4743133,-11194191,-5645734,5150968,7274186 },
  { 2831366,-12492146,1478975,6122054,23825128,-12733586,31097299,6083058,31021603,-9793610 },
  { -2529932,-2229646,445613,10720828,-13849527,-11505937,-23507731,16354465,15067285,-14147707 },
 },
 {
  { 7840942,14037873,-33364863,15934016,-728213,-3642706,21403988,1057586,-19379462,-12403220 },
  { 915865,-16469274,15608285,-8789130,-24357026,6060030,-17371319,8410997,-7220461,16527025 },
  { 32922597,-556987,20336074,-16184568,10903705,-5384487,16957574,52992,23834301,6588044 },
 },
 {
  { 32752030,11232950,3381995,-8714866,22652988,-10744103,17159699,16689107,-20314580,-1305992 },
  { -4689649,9166776,-25710296,-10847306,11576752,12733943,7924251,-2752281,1976123,-7249027 },
  { 21251222,16309901,-2983015,-6783122,30810597,12967303,156041,-3371252,12331345,-8237197 },
 },
 {
  { 8651614,-4477032,-16085636,-4996994,13002507,2950805,29054427,-5106970,10008136,-4667901 },
  { 31486080,15114593,-14261250,12951354,14369431,-7387845,16347321,-13662089,8684155,-10532952 },
  { 19443825,11385320,24468943,-9659068,-23919258,2187569,-26263207,-6086921,31316348,14219878 },
 },
 {
  { -28594490,1193785,32245219,11392485,31092169,15722801,27146014,6992409,29126555,9207390 },
  { 32382935,1110093,18477781,11028262,-27411763,-7548111,-4980517,10843782,-7957600,-14435730 },
  { 2814918,7836403,27519878,-7868156,-20894015,-11553689,-21494559,8550130,28346258,1994730 },
 },
 {
  { -19578299,8085545,-14000519,-3948622,2785838,-16231307,-19516951,7174894,22628102,8115180 },
  { -30405132,955511,-11133838,-15078069,-32447087,-13278079,-25651578,3317160,-9943017,930272 },
  { -15303681,-6833769,28856490,1357446,23421993,1057177,24091212,-1388970,-22765376,-10650715 },
 },
 {
  { -22751231,-5303997,-12907607,-12768866,-15811511,-7797053,-14839018,-16554220,-1867018,8398970 },
  { -31969310,2106403,-4736360,1362501,12813763,16200670,22981545,-6291273,18009408,-15772772 },
  { -17220923,-9545221,-27784654,14166835,29815394,7444469,29551787,-3727419,19288549,1325865 },
 },
 {
  { 15100157,-15835752,-23923978,-1005098,-26450192,15509408,12376730,-3479146,33166107,-8042750 },
  { 20909231,13023121,-9209752,16251778,-5778415,-8094914,12412151,10018715,2213263,-13878373 },
  { 32529814,-11074689,30361439,-16689753,-9135940,1513226,22922121,6382134,-5766928,8371348 },
 },
},
{
 {
  { 9923462,11271500,12616794,3544722,-29998368,-1721626,12891687,-8193132,-26442943,10486144 },
  { -22597207,-7012665,8587003,-8257861,4084309,-12970062,361726,2610596,-23921530,-11455195 },
  { 5408411,-1136691,-4969122,10561668,24145918,14240566,31319731,-4235541,19985175,-3436086 },
 },
 {
  { -13994457,16616821,14549246,3341099,32155958,13648976,-17577068,8849297,65030,8370684 },
  { -8320926,-12049626,31204563,5839400,-20627288,-1057277,-19442942,6922164,12743482,-9800518 },
  { -2361371,12678785,28815050,4759974,-23893047,4884717,23783145,11038569,18800704,255233 },
 },
 {
  { -5269658,-1773886,13957886,7990715,23132995,728773,13393847,9066957,19258688,-14753793 },
  { -2936654,-10827535,-10432089,14516793,-3640786,4372541,-31934921,2209390,-1524053,2055794 },
  { 580882,16705327,5468415,-2683018,-30926419,-14696000,-7203346,-8994389,-30021019,7394435 },
 },
 {
  { 23838809,1822728,-15738443,15242727,8318092,-3733104,-21672180,-3492205,-4821741,14799921 },
  { 13345610,9759151,3371034,-16137791,16353039,8577942,31129804,13496856,-9056018,7402518 },
  { 2286874,-4435931,-20042458,-2008336,-13696227,5038122,11006906,-15760352,8205061,1607563 },
 },
 {
  { 14414086,-8002132,3331830,-3208217,22249151,-5594188,18364661,-2906958,30019587,-9029278 },
  { -27688051,1585953,-10775053,931069,-29120221,-11002319,-14410829,12029093,9944378,8024 },
  { 4368715,-3709630,29874200,-15022983,-20230386,-11410704,-16114594,-999085,-8142388,5640030 },
 },
 {
  { 10299610,13746483,11661824,16234854,7630238,5998374,9809887,-16694564,15219798,-14327783 },
  { 27425505,-5719081,3055006,10660664,23458024,595578,-15398605,-1173195,-18342183,9742717 },
  { 6744077,2427284,26042789,2720740,-847906,1118974,32324614,7406442,12420155,1994844 },
 },
 {
  { 14012521,-5024720,-18384453,-9578469,-26485342,-3936439,-13033478,-10909803,24319929,-6446333 },
  { 16412690,-4507367,10772641,15929391,-17068788,-4658621,10555945,-10484049,-30102368,-4739048 },
  { 22397382,-7767684,-9293161,-12792868,17166287,-9755136,-27333065,6199366,21880021,-12250760 },
 },
 {
  { -4283307,5368523,-31117018,8163389,-30323063,3209128,16557151,8890729,8840445,4957760 },
  { -15447727,709327,-6919446,-10870178,-29777922,6522332,-21720181,12130072,-14796503,5005757 },
  { -2114751,-14308128,23019042,15765735,-25269683,6002752,10183197,-13239326,-16395286,-2176112 },
 },
},
{
 {
  { -19025756,1632005,13466291,-7995100,-23640451,16573537,-32013908,-3057104,22208662,2000468 },
  { 3065073,-1412761,-25598674,-361432,-17683065,-5703415,-8164212,11248527,-3691214,-7414184 },
  { 10379208,-6045554,8877319,1473647,-29291284,-12507580,16690915,2553332,-3132688,16400289 },
 },
 {
  { 15716668,1254266,-18472690,7446274,-8448918,6344164,-22097271,-7285580,26894937,9132066 },
  { 24158887,12938817,11085297,-8177598,-28063478,-4457083,-30576463,64452,-6817084,-2692882 },
  { 13488534,7794716,22236231,5989356,25426474,-12578208,2350710,-3418511,-4688006,2364226 },
 },
 {
  { 16335052,9132434,25640582,6678888,1725628,8517937,-11807024,-11697457,15445875,-7798101 },
  { 29004207,-7867081,28661402,-640412,-12794003,-7943086,31863255,-4135540,-278050,-15759279 },
  { -6122061,-14866665,-28614905,14569919,-10857999,-3591829,10343412,-6976290,-29828287,-10815811 },
 },
 {
  { 27081650,3463984,14099042,-4517604,1616303,-6205604,29542636,15372179,17293797,960709 },
  { 20263915,11434237,-5765435,11236810,13505955,-10857102,-16111345,6493122,-19384511,7639714 },
  { -2830798,-14839232,25403038,-8215196,-8317012,-16173699,18006287,-16043750,29994677,-15808121 },
 },
 {
  { 9769828,5202651,-24157398,-13631392,-28051003,-11561624,-24613141,-13860782,-31184575,709464 },
  { 12286395,13076066,-21775189,-1176622,-25003198,4057652,-32018128,-8890874,16102007,13205847 },
  { 13733362,5599946,10557076,3195751,-5557991,8536970,-25540170,8525972,10151379,10394400 },
 },
 {
  { 4024660,-16137551,22436262,12276534,-9099015,-2686099,19698229,11743039,-33302334,8934414 },
  { -15879800,-4525240,-8580747,-2934061,14634845,-698278,-9449077,3137094,-11536886,11721158 },
  { 17555939,-5013938,8268606,2331751,-22738815,9761013,9319229,8835153,-9205489,-1280045 },
 },
 {
  { -461409,-7830014,20614118,16688288,-7514766,-4807119,22300304,505429,6108462,-6183415 },
  { -5070281,12367917,-30663534,3234473,32617080,-8422642,29880583,-13483331,-26898490,-7867459 },
  { -31975283,5726539,26934134,10237677,-3173717,-605053,24199304,3795095,7592688,-14992079 },
 },
 {
  { 21594432,-14964228,17466408,-4077222,32537084,2739898,6407723,12018833,-28256052,4298412 },
  { -20650503,-11961496,-27236275,570498,3767144,-1717540,13891942,-1569194,13717174,10805743 },
  { -14676630,-15644296,15287174,11927123,24177847,-8175568,-796431,14860609,-26938930,-5863836 },
 },
},
{
 {
  { 12962541,5311799,-10060768,11658280,18855286,-7954201,13286263,-12808704,-4381056,9882022 },
  { 18512079,11319350,-20123124,15090309,18818594,5271736,-22727904,3666879,-23967430,-3299429 },
  { -6789020,-3146043,16192429,13241070,15898607,-14206114,-10084880,-6661110,-2403099,5276065 },
 },
 {
  { 30169808,-5317648,26306206,-11750859,27814964,7069267,7152851,3684982,1449224,13082861 },
  { 10342826,3098505,2119311,193222,25702612,12233820,23697382,15056736,-21016438,-8202000 },
  { -33150110,3261608,22745853,7948688,19370557,-15177665,-26171976,6482814,-10300080,-11060101 },
 },
 {
  { 32869458,-5408545,25609743,15678670,-10687769,-15471071,26112421,2521008,-22664288,6904815 },
  { 29506923,4457497,3377935,-9796444,-30510046,12935080,1561737,3841096,-29003639,-6657642 },
  { 10340844,-6630377,-18656632,-2278430,12621151,-13339055,30878497,-11824370,-25584551,5181966 },
 },
 {
  { 25940115,-12658025,17324188,-10307374,-8671468,15029094,24396252,-16450922,-2322852,-12388574 },
  { -21765684,9916823,-1300409,4079498,-1028346,11909559,1782390,12641087,20603771,-6561742 },
  { -18882287,-11673380,24849422,11501709,13161720,-4768874,1925523,11914390,4662781,7820689 },
 },
 {
  { 12241050,-425982,8132691,9393934,32846760,-1599620,29749456,12172924,16136752,15264020 },
  { -10349955,-14680563,-8211979,2330220,-17662549,-14545780,10658213,6671822,19012087,3772772 },
  { 3753511,-3421066,10617074,2028709,14841030,-6721664,28718732,-15762884,20527771,12988982 },
 },
 {
  { -14822485,-5797269,-3707987,12689773,-898983,-10914866,-24183046,-10564943,3299665,-12424953 },
  { -16777703,-15253301,-9642417,4978983,3308785,8755439,6943197,6461331,-25583147,8991218 },
  { -17226263,1816362,-1673288,-6086439,31783888,-8175991,-32948145,7417950,-30242287,1507265 },
 },
 {
  { 29692663,6829891,-10498800,4334896,20945975,-11906496,-28887608,8209391,14606362,-10647073 },
  { -3481570,8707081,32188102,5672294,22096700,1711240,-33020695,9761487,4170404,-2085325 },
  { -11587470,14855945,-4127778,-1531857,-26649089,15084046,22186522,16002000,-14276837,-8400798 },
 },
 {
  { -4811456,13761029,-31703877,-2483919,-3312471,7869047,-7113572,-9620092,13240845,10965870 },
  { -7742563,-8256762,-14768334,-13656260,-23232383,12387166,4498947,14147411,29514390,4302863 },
  { -13413405,-12407859,20757302,-13801832,14785143,8976368,-5061276,-2144373,17846988,-13971927 },
 },
},
{
 {
  { -2244452,-754728,-4597030,-1066309,-6247172,1455299,-21647728,-9214789,-5222701,12650267 },
  { -9906797,-16070310,21134160,12198166,-27064575,708126,387813,13770293,-19134326,10958663 },
  { 22470984,12369526,23446014,-5441109,-21520802,-9698723,-11772496,-11574455,-25083830,4271862 },
 },
 {
  { -25169565,-10053642,-19909332,15361595,-5984358,2159192,75375,-4278529,-32526221,8469673 },
  { 15854970,4148314,-8893890,7259002,11666551,13824734,-30531198,2697372,24154791,-9460943 },
  { 15446137,-15806644,29759747,14019369,30811221,-9610191,-31582008,12840104,24913809,9815020 },
 },
 {
  { -4709286,-5614269,-31841498,-12288893,-14443537,10799414,-9103676,13438769,18735128,9466238 },
  { 11933045,9281483,5081055,-5183824,-2628162,-4905629,-7727821,-10896103,-22728655,16199064 },
  { 14576810,379472,-26786533,-8317236,-29426508,-10812974,-102766,1876699,30801119,2164795 },
 },
 {
  { 15995086,3199873,13672555,13712240,-19378835,-4647646,-13081610,-15496269,-13492807,1268052 },
  { -10290614,-3659039,-3286592,10948818,23037027,3794475,-3470338,-12600221,-17055369,3565904 },
  { 29210088,-9419337,-5919792,-4952785,10834811,-13327726,-16512102,-10820713,-27162222,-14030531 },
 },
 {
  { -13161890,15508588,16663704,-8156150,-28349942,9019123,-29183421,-3769423,2244111,-14001979 },
  { -5152875,-3800936,-9306475,-6071583,16243069,14684434,-25673088,-16180800,13491506,4641841 },
  { 10813417,643330,-19188515,-728916,30292062,-16600078,27548447,-7721242,14476989,-12767431 },
 },
 {
  { 10292079,9984945,6481436,8279905,-7251514,7032743,27282937,-1644259,-27912810,12651324 },
  { -31185513,-813383,22271204,11835308,10201545,15351028,17099662,3988035,21721536,-3148940 },
  { 10202177,-6545839,-31373232,-9574638,-32150642,-8119683,-12906320,3852694,13216206,14842320 },
 },
 {
  { -15815640,-10601066,-6538952,-7258995,-6984659,-6581778,-31500847,13765824,-27434397,9900184 },
  { 14465505,-13833331,-32133984,-14738873,-27443187,12990492,33046193,15796406,-7051866,-8040114 },
  { 30924417,-8279620,6359016,-12816335,16508377,9071735,-25488601,15413635,9524356,-7018878 },
 },
 {
  { 12274201,-13175547,32627641,-1785326,6736625,13267305,5237659,-5109483,15663516,4035784 },
  { -2951309,8903985,17349946,601635,-16432815,-4612556,-13732739,-15889334,-22258478,4659091 },
  { -16916263,-4952973,-30393711,-15158821,20774812,15897498,5736189,15026997,-2178256,-13455585 },
 },
},
{
 {
  { -8858980,-2219056,28571666,-10155518,-474467,-10105698,-3801496,278095,23440562,-290208 },
  { 10226241,-5928702,15139956,120818,-14867693,5218603,32937275,11551483,-16571960,-7442864 },
  { 17932739,-12437276,-24039557,10749060,11316803,7535897,22503767,5561594,-3646624,3898661 },
 },
 {
  { 7749907,-969567,-16339731,-16464,-25018111,15122143,-1573531,7152530,21831162,1245233 },
  { 26958459,-14658026,4314586,8346991,-5677764,11960072,-32589295,-620035,-30402091,-16716212 },
  { -12165896,9166947,33491384,13673479,29787085,13096535,6280834,14587357,-22338025,13987525 },
 },
 {
  { -24349909,7778775,21116000,15572597,-4833266,-5357778,-4300898,-5124639,-7469781,-2858068 },
  { 9681908,-6737123,-31951644,13591838,-6883821,386950,31622781,6439245,-14581012,4091397 },
  { -8426427,1470727,-28109679,-1596990,3978627,-5123623,-19622683,12092163,29077877,-14741988 },
 },
 {
  { 5269168,-6859726,-13230211,-8020715,25932563,1763552,-5606110,-5505881,-20017847,2357889 },
  { 32264008,-15407652,-5387735,-1160093,-2091322,-3946900,23104804,-12869908,5727338,189038 },
  { 14609123,-8954470,-6000566,-16622781,-14577387,-7743898,-26745169,10942115,-25888931,-14884697 },
 },
 {
  { 20513500,5557931,-15604613,7829531,26413943,-2019404,-21378968,7471781,13913677,-5137875 },
  { -25574376,11967826,29233242,12948236,-6754465,4713227,-8940970,14059180,12878652,8511905 },
  { -25656801,3393631,-2955415,-7075526,-2250709,9366908,-30223418,6812974,5568676,-3127656 },
 },
 {
  { 11630004,12144454,2116339,13606037,27378885,15676917,-17408753,-13504373,-14395196,8070818 },
  { 27117696,-10007378,-31282771,-5570088,1127282,12772488,-29845906,10483306,-11552749,-1028714 },
  { 10637467,-5688064,5674781,1072708,-26343588,-6982302,-1683975,9177853,-27493162,15431203 },
 },
 {
  { 20525145,10892566,-12742472,12779443,-29493034,16150075,-28240519,14943142,-15056790,-7935931 },
  { -30024462,5626926,-551567,-9981087,753598,11981191,25244767,-3239766,-3356550,9594024 },
  { -23752644,2636870,-5163910,-10103818,585134,7877383,11345683,-6492290,13352335,-10977084 },
 },
 {
  { -1931799,-5407458,3304649,-12884869,17015806,-4877091,-29783850,-7752482,-13215537,-319204 },
  { 20239939,6607058,6203985,3483793,-18386976,-779229,-20723742,15077870,-22750759,14523817 },
  { 27406042,-6041657,27423596,-4497394,4996214,10002360,-28842031,-4545494,-30172742,-4805667 },
 },
},
{
 {
  { 11374242,12660715,17861383,-12540833,10935568,1099227,-13886076,-9091740,-27727044,11358504 },
  { -12730809,10311867,1510375,10778093,-2119455,-9145702,32676003,11149336,-26123651,4985768 },
  { -19096303,341147,-6197485,-239033,15756973,-8796662,-983043,13794114,-19414307,-15621255 },
 },
 {
  { 6490081,11940286,25495923,-7726360,8668373,-8751316,3367603,6970005,-1691065,-9004790 },
  { 1656497,13457317,15370807,6364910,13605745,8362338,-19174622,-5475723,-16796596,-5031438 },
  { -22273315,-13524424,-64685,-4334223,-18605636,-10921968,-20571065,-7007978,-99853,-10237333 },
 },
 {
  { 17747465,10039260,19368299,-4050591,-20630635,-16041286,31992683,-15857976,-29260363,-5511971 },
  { 31932027,-4986141,-19612382,16366580,22023614,88450,11371999,-3744247,4882242,-10626905 },
  { 29796507,37186,19818052,10115756,-11829032,3352736,18551198,3272828,-5190932,-4162409 },
 },
 {
  { 12501286,4044383,-8612957,-13392385,-32430052,5136599,-19230378,-3529697,330070,-3659409 },
  { 6384877,2899513,17807477,7663917,-2358888,12363165,25366522,-8573892,-271295,12071499 },
  { -8365515,-4042521,25133448,-4517355,-6211027,2265927,-32769618,1936675,-5159697,3829363 },
 },
 {
  { 28425966,-5835433,-577090,-4697198,-14217555,6870930,7921550,-6567787,26333140,14267664 },
  { -11067219,11871231,27385719,-10559544,-4585914,-11189312,10004786,-8709488,-21761224,8930324 },
  { -21197785,-16396035,25654216,-1725397,12282012,11008919,1541940,4757911,-26491501,-16408940 },
 },
 {
  { 13537262,-7759490,-20604840,10961927,-5922820,-13218065,-13156584,6217254,-15943699,13814990 },
  { -17422573,15157790,18705543,29619,24409717,-260476,27361681,9257833,-1956526,-1776914 },
  { -25045300,-10191966,15366585,15166509,-13105086,8423556,-29171540,12361135,-18685978,4578290 },
 },
 {
  { 24579768,3711570,1342322,-11180126,-27005135,14124956,-22544529,14074919,21964432,8235257 },
  { -6528613,-2411497,9442966,-5925588,12025640,-1487420,-2981514,-1669206,13006806,2355433 },
  { -16304899,-13605259,-6632427,-5142349,16974359,-10911083,27202044,1719366,1141648,-12796236 },
 },
 {
  { -12863944,-13219986,-8318266,-11018091,-6810145,-4843894,13475066,-3133972,32674895,13715045 },
  { 11423335,-5468059,32344216,8962751,24989809,9241752,-13265253,16086212,-28740881,-15642093 },
  { -1409668,12530728,-6368726,10847387,19531186,-14132160,-11709148,7791794,-27245943,4383347 },
 },
},
{
 {
  { -28970898,5271447,-1266009,-9736989,-12455236,16732599,-4862407,-4906449,27193557,6245191 },
  { -15193956,5362278,-1783893,2695834,4960227,12840725,23061898,3260492,22510453,8577507 },
  { -12632451,11257346,-32692994,13548177,-721004,10879011,31168030,13952092,-29571492,-3635906 },
 },
 {
  { 3877321,-9572739,32416692,5405324,-11004407,-13656635,3759769,11935320,5611860,8164018 },
  { -16275802,14667797,15906460,12155291,-22111149,-9039718,32003002,-8832289,5773085,-8422109 },
  { -23788118,-8254300,1950875,8937633,18686727,16459170,-905725,12376320,31632953,190926 },
 },
 {
  { -24593607,-16138885,-8423991,13378746,14162407,6901328,-8288749,4508564,-25341555,-3627528 },
  { 8884438,-5884009,6023974,10104341,-6881569,-4941533,18722941,-14786005,-1672488,827625 },
  { -32720583,-16289296,-32503547,7101210,13354605,2659080,-1800575,-14108036,-24878478,1541286 },
 },
 {
  { 2901347,-1117687,3880376,-10059388,-17620940,-3612781,-21802117,-3567481,20456845,-1885033 },
  { 27019610,12299467,-13658288,-1603234,-12861660,-4861471,-19540150,-5016058,29439641,15138866 },
  { 21536104,-6626420,-32447818,-10690208,-22408077,5175814,-5420040,-16361163,7779328,109896 },
 },
 {
  { 30279744,14648750,-8044871,6425558,13639621,-743509,28698390,12180118,23177719,-554075 },
  { 26572847,3405927,-31701700,12890905,-19265668,5335866,-6493768,2378492,4439158,-13279347 },
  { -22716706,3489070,-9225266,-332753,18875722,-1140095,14819434,-12731527,-17717757,-5461437 },
 },
 {
  { -5056483,16566551,15953661,3767752,-10436499,15627060,-820954,2177225,8550082,-15114165 },
  { -18473302,16596775,-381660,15663611,22860960,15585581,-27844109,-3582739,-23260460,-8428588 },
  { -32480551,15707275,-8205912,-5652081,29464558,2713815,-22725137,15860482,-21902570,1494193 },
 },
 {
  { -19562091,-14087393,-25583872,-9299552,13127842,759709,21923482,16529112,8742704,12967017 },
  { -28464899,1553205,32536856,-10473729,-24691605,-406174,-8914625,-2933896,-29903758,15553883 },
  { 21877909,3230008,9881174,10539357,-4797115,2841332,11543572,14513274,19375923,-12647961 },
 },
 {
  { 8832269,-14495485,13253511,5137575,5037871,4078777,24880818,-6222716,2862653,9455043 },
  { 29306751,5123106,20245049,-14149889,9592566,8447059,-2077124,-2990080,15511449,4789663 },
  { -20679756,7004547,8824831,-9434977,-4045704,-3750736,-5754762,108893,23513200,16652362 },
 },
},
{
 {
  { -33256173,4144782,-4476029,-6579123,10770039,-7155542,-6650416,-12936300,-18319198,10212860 },
  { 2756081,8598110,7383731,-6859892,22312759,-1105012,21179801,2600940,-9988298,-12506466 },
  { -24645692,13317462,-30449259,-15653928,21365574,-10869657,11344424,864440,-2499677,-16710063 },
 },
 {
  { -26432803,6148329,-17184412,-14474154,18782929,-275997,-22561534,211300,2719757,4940997 },
  { -1323882,3911313,-6948744,14759765,-30027150,7851207,21690126,8518463,26699843,5276295 },
  { -13149873,-6429067,9396249,365013,24703301,-10488939,1321586,149635,-15452774,7159369 },
 },
 {
  { 9987780,-3404759,17507962,9505530,9731535,-2165514,22356009,8312176,22477218,-8403385 },
  { 18155857,-16504990,19744716,9006923,15154154,-10538976,24256460,-4864995,-22548173,9334109 },
  { 2986088,-4911893,10776628,-3473844,10620590,-7083203,-21413845,14253545,-22587149,536906 },
 },
 {
  { 4377756,8115836,24567078,15495314,11625074,13064599,7390551,10589625,10838060,-15420424 },
  { -19342404,867880,9277171,-3218459,-14431572,-1986443,19295826,-15796950,6378260,699185 },
  { 7895026,4057113,-7081772,-13077756,-17886831,-323126,-716039,15693155,-5045064,-13373962 },
 },
 {
  { -7737563,-5869402,-14566319,-7406919,11385654,13201616,31730678,-10962840,-3918636,-9669325 },
  { 10188286,-15770834,-7336361,13427543,22223443,14896287,30743455,7116568,-21786507,5427593 },
  { 696102,13206899,27047647,-10632082,15285305,-9853179,10798490,-4578720,19236243,12477404 },
 },
 {
  { -11229439,11243796,-17054270,-8040865,-788228,-8167967,-3897669,11180504,-23169516,7733644 },
  { 17800790,-14036179,-27000429,-11766671,23887827,3149671,23466177,-10538171,10322027,15313801 },
  { 26246234,11968874,32263343,-5468728,6830755,-13323031,-15794704,-101982,-24449242,10890804 },
 },
 {
  { -31365647,10271363,-12660625,-6267268,16690207,-13062544,-14982212,16484931,25180797,-5334884 },
  { -586574,10376444,-32586414,-11286356,19801893,10997610,2276632,9482883,316878,13820577 },
  { -9882808,-4510367,-2115506,16457136,-11100081,11674996,30756178,-7515054,30696930,-3712849 },
 },
 {
  { 32988917,-9603412,12499366,7910787,-10617257,-11931514,-7342816,-9985397,-32349517,7392473 },
  { -8855661,15927861,9866406,-3649411,-2396914,-16655781,-30409476,-9134995,25112947,-2926644 },
  { -2504044,-436966,25621774,-5678772,15085042,-5479877,-24884878,-13526194,5537438,-13914319 },
 },
},
{
 {
  { -11225584,2320285,-9584280,10149187,-33444663,5808648,-14876251,-1729667,31234590,6090599 },
  { -9633316,116426,26083934,2897444,-6364437,-2688086,609721,15878753,-6970405,-9034768 },
  { -27757857,247744,-15194774,-9002551,23288161,-10011936,-23869595,6503646,20650474,1804084 },
 },
 {
  { -27589786,15456424,8972517,8469608,15640622,4439847,3121995,-10329713,27842616,-202328 },
  { -15306973,2839644,22530074,10026331,4602058,5048462,28248656,5031932,-11375082,12714369 },
  { 20807691,-7270825,29286141,11421711,-27876523,-13868230,-21227475,1035546,-19733229,12796920 },
 },
 {
  { 12076899,-14301286,-8785001,-11848922,-25012791,16400684,-17591495,-12899438,3480665,-15182815 },
  { -32361549,5457597,28548107,7833186,7303070,-11953545,-24363064,-15921875,-33374054,2771025 },
  { -21389266,421932,26597266,6860826,22486084,-6737172,-17137485,-4210226,-24552282,15673397 },
 },
 {
  { -20184622,2338216,19788685,-9620956,-4001265,-8740893,-20271184,4733254,3727144,-12934448 },
  { 6120119,814863,-11794402,-622716,6812205,-15747771,2019594,7975683,31123697,-10958981 },
  { 30069250,-11435332,30434654,2958439,18399564,-976289,12296869,9204260,-16432438,9648165 },
 },
 {
  { 32705432,-1550977,30705658,7451065,-11805606,9631813,3305266,5248604,-26008332,-11377501 },
  { 17219865,2375039,-31570947,-5575615,-19459679,9219903,294711,15298639,2662509,-16297073 },
  { -1172927,-7558695,-4366770,-4287744,-21346413,-8434326,32087529,-1222777,32247248,-14389861 },
 },
 {
  { 14312628,1221556,17395390,-8700143,-4945741,-8684635,-28197744,-9637817,-16027623,-13378845 },
  { -1428825,-9678990,-9235681,6549687,-7383069,-468664,23046502,9803137,17597934,2346211 },
  { 18510800,15337574,26171504,981392,-22241552,7827556,-23491134,-11323352,3059833,-11782870 },
 },
 {
  { 10141598,6082907,17829293,-1947643,9830092,13613136,-25556636,-5544586,-33502212,3592096 },
  { 33114168,-15889352,-26525686,-13343397,33076705,8716171,1151462,1521897,-982665,-6837803 },
  { -32939165,-4255815,23947181,-324178,-33072974,-12305637,-16637686,3891704,26353178,693168 },
 },
 {
  { 30374239,1595580,-16884039,13186931,4600344,406904,9585294,-400668,31375464,14369965 },
  { -14370654,-7772529,1510301,6434173,-18784789,-6262728,32732230,-13108839,17901441,16011505 },
  { 18171223,-11934626,-12500402,15197122,-11038147,-15230035,-19172240,-16046376,8764035,12309598 },
 },
},
{
 {
  { 5975908,-5243188,-19459362,-9681747,-11541277,14015782,-23665757,1228319,17544096,-10593782 },
  { 5811932,-1715293,3442887,-2269310,-18367348,-8359541,-18044043,-15410127,-5565381,12348900 },
  { -31399660,11407555,25755363,6891399,-3256938,14872274,-24849353,8141295,-10632534,-585479 },
 },
 {
  { -12675304,694026,-5076145,13300344,14015258,-14451394,-9698672,-11329050,30944593,1130208 },
  { 8247766,-6710942,-26562381,-7709309,-14401939,-14648910,4652152,2488540,23550156,-271232 },
  { 17294316,-3788438,7026748,15626851,22990044,113481,2267737,-5908146,-408818,-137719 },
 },
 {
  { 16091085,-16253926,18599252,7340678,2137637,-1221657,-3364161,14550936,3260525,-7166271 },
  { -4910104,-13332887,18550887,10864893,-16459325,-7291596,-23028869,-13204905,-12748722,2701326 },
  { -8574695,16099415,4629974,-16340524,-20786213,-6005432,-10018363,9276971,11329923,1862132 },
 },
 {
  { 14763076,-15903608,-30918270,3689867,3511892,10313526,-21951088,12219231,-9037963,-940300 },
  { 8894987,-3446094,6150753,3013931,301220,15693451,-31981216,-2909717,-15438168,11595570 },
  { 15214962,3537601,-26238722,-14058872,4418657,-15230761,13947276,10730794,-13489462,-4363670 },
 },
 {
  { -2538306,7682793,32759013,263109,-29984731,-7955452,-22332124,-10188635,977108,699994 },
  { -12466472,4195084,-9211532,550904,-15565337,12917920,19118110,-439841,-30534533,-14337913 },
  { 31788461,-14507657,4799989,7372237,8808585,-14747943,9408237,-10051775,12493932,-5409317 },
 },
 {
  { -25680606,5260744,-19235809,-6284470,-3695942,16566087,27218280,2607121,29375955,6024730 },
  { 842132,-2794693,-4763381,-8722815,26332018,-12405641,11831880,6985184,-9940361,2854096 },
  { -4847262,-7969331,2516242,-5847713,9695691,-7221186,16512645,960770,12121869,16648078 },
 },
 {
  { -15218652,14667096,-13336229,2013717,30598287,-464137,-31504922,-7882064,20237806,2838411 },
  { -19288047,4453152,15298546,-16178388,22115043,-15972604,12544294,-13470457,1068881,-12499905 },
  { -9558883,-16518835,33238498,13506958,30505848,-1114596,-8486907,-2630053,12521378,4845654 },
 },
 {
  { -28198521,10744108,-2958380,10199664,7759311,-13088600,3409348,-873400,-6482306,-12885870 },
  { -23561822,6230156,-20382013,10655314,-24040585,-11621172,10477734,-1240216,-3113227,13974498 },
  { 12966261,15550616,-32038948,-1615346,21025980,-629444,5642325,7188737,18895762,12629579 },
 },
},
{
 {
  { 14741879,-14946887,22177208,-11721237,1279741,8058600,11758140,789443,32195181,3895677 },
  { 10758205,15755439,-4509950,9243698,-4879422,6879879,-2204575,-3566119,-8982069,4429647 },
  { -2453894,15725973,-20436342,-10410672,-5803908,-11040220,-7135870,-11642895,18047436,-15281743 },
 },
 {
  { -25173001,-11307165,29759956,11776784,-22262383,-15820455,10993114,-12850837,-17620701,-9408468 },
  { 21987233,700364,-24505048,14972008,-7774265,-5718395,32155026,2581431,-29958985,8773375 },
  { -25568350,454463,-13211935,16126715,25240068,8594567,20656846,12017935,-7874389,-13920155 },
 },
 {
  { 6028182,6263078,-31011806,-11301710,-818919,2461772,-31841174,-5468042,-1721788,-2776725 },
  { -12278994,16624277,987579,-5922598,32908203,1248608,7719845,-4166698,28408820,6816612 },
  { -10358094,-8237829,19549651,-12169222,22082623,16147817,20613181,13982702,-10339570,5067943 },
 },
 {
  { -30505967,-3821767,12074681,13582412,-19877972,2443951,-19719286,12746132,5331210,-10105944 },
  { 30528811,3601899,-1957090,4619785,-27361822,-15436388,24180793,-12570394,27679908,-1648928 },
  { 9402404,-13957065,32834043,10838634,-26580150,-13237195,26653274,-8685565,22611444,-12715406 },
 },
 {
  { 22190590,1118029,22736441,15130463,-30460692,-5991321,19189625,-4648942,4854859,6622139 },
  { -8310738,-2953450,-8262579,-3388049,-10401731,-271929,13424426,-3567227,26404409,13001963 },
  { -31241838,-15415700,-2994250,8939346,11562230,-12840670,-26064365,-11621720,-15405155,11020693 },
 },
 {
  { 1866042,-7949489,-7898649,-10301010,12483315,13477547,3175636,-12424163,28761762,1406734 },
  { -448555,-1777666,13018551,3194501,-9580420,-11161737,24760585,-4347088,25577411,-13378680 },
  { -24290378,4759345,-690653,-1852816,2066747,10693769,-29595790,9884936,-9368926,4745410 },
 },
 {
  { -9141284,6049714,-19531061,-4341411,-31260798,9944276,-15462008,-11311852,10931924,-11931931 },
  { -16561513,14112680,-8012645,4817318,-8040464,-11414606,-22853429,10856641,-20470770,13434654 },
  { 22759489,-10073434,-16766264,-1871422,13637442,-10168091,1765144,-12654326,28445307,-5364710 },
 },
 {
  { 29875063,12493613,2795536,-3786330,1710620,15181182,-10195717,-8788675,9074234,1167180 },
  { -26205683,11014233,-9842651,-2635485,-26908120,7532294,-18716888,-9535498,3843903,9367684 },
  { -10969595,-6403711,9591134,9582310,11349256,108879,16235123,8601684,-139197,4242895 },
 },
},
{
 {
  { 22092954,-13191123,-2042793,-11968512,32186753,-11517388,-6574341,2470660,-27417366,16625501 },
  { -11057722,3042016,13770083,-9257922,584236,-544855,-7770857,2602725,-27351616,14247413 },
  { 6314175,-10264892,-32772502,15957557,-10157730,168750,-8618807,14290061,27108877,-1180880 },
 },
 {
  { -8586597,-7170966,13241782,10960156,-32991015,-13794596,33547976,-11058889,-27148451,981874 },
  { 22833440,9293594,-32649448,-13618667,-9136966,14756819,-22928859,-13970780,-10479804,-16197962 },
  { -7768587,3326786,-28111797,10783824,19178761,14905060,22680049,13906969,-15933690,3797899 },
 },
 {
  { 21721356,-4212746,-12206123,9310182,-3882239,-13653110,23740224,-2709232,20491983,-8042152 },
  { 9209270,-15135055,-13256557,-6167798,-731016,15289673,25947805,15286587,30997318,-6703063 },
  { 7392032,16618386,23946583,-8039892,-13265164,-1533858,-14197445,-2321576,17649998,-250080 },
 },
 {
  { -9301088,-14193827,30609526,-3049543,-25175069,-1283752,-15241566,-9525724,-2233253,7662146 },
  { -17558673,1763594,-33114336,15908610,-30040870,-12174295,7335080,-8472199,-3174674,3440183 },
  { -19889700,-5977008,-24111293,-9688870,10799743,-16571957,40450,-4431835,4862400,1133 },
 },
 {
  { -32856209,-7873957,-5422389,14860950,-16319031,7956142,7258061,311861,-30594991,-7379421 },
  { -3773428,-1565936,28985340,7499440,24445838,9325937,29727763,16527196,18278453,15405622 },
  { -4381906,8508652,-19898366,-3674424,-5984453,15149970,-13313598,843523,-21875062,13626197 },
 },
 {
  { 2281448,-13487055,-10915418,-2609910,1879358,16164207,-10783882,3953792,13340839,15928663 },
  { 31727126,-7179855,-18437503,-8283652,2875793,-16390330,-25269894,-7014826,-23452306,5964753 },
  { 4100420,-5959452,-17179337,6017714,-18705837,12227141,-26684835,11344144,2538215,-7570755 },
 },
 {
  { -9433605,6123113,11159803,-2156608,30016280,14966241,-20474983,1485421,-629256,-15958862 },
  { -26804558,4260919,11851389,9658551,-32017107,16367492,-20205425,-13191288,11659922,-11115118 },
  { 26180396,10015009,-30844224,-8581293,5418197,9480663,2231568,-10170080,33100372,-1306171 },
 },
 {
  { 15121113,-5201871,-10389905,15427821,-27509937,-15992507,21670947,4486675,-5931810,-14466380 },
  { 16166486,-9483733,-11104130,6023908,-31926798,-1364923,2340060,-16254968,-10735770,-10039824 },
  { 28042865,-3557089,-12126526,12259706,-3717498,-6945899,6766453,-8689599,18036436,5803270 },
 },
},
{
 {
  { -817581,6763912,11803561,1585585,10958447,-2671165,23855391,4598332,-6159431,-14117438 },
  { -31031306,-14256194,17332029,-2383520,31312682,-5967183,696309,50292,-20095739,11763584 },
  { -594563,-2514283,-32234153,12643980,12650761,14811489,665117,-12613632,-19773211,-10713562 },
 },
 {
  { 30464590,-11262872,-4127476,-12734478,19835327,-7105613,-24396175,2075773,-17020157,992471 },
  { 18357185,-6994433,7766382,16342475,-29324918,411174,14578841,8080033,-11574335,-10601610 },
  { 19598397,10334610,12555054,2555664,18821899,-10339780,21873263,16014234,26224780,16452269 },
 },
 {
  { -30223925,5145196,5944548,16385966,3976735,2009897,-11377804,-7618186,-20533829,3698650 },
  { 14187449,3448569,-10636236,-10810935,-22663880,-3433596,7268410,-10890444,27394301,12015369 },
  { 19695761,16087646,28032085,12999827,6817792,11427614,20244189,-1312777,-13259127,-3402461 },
 },
 {
  { 30860103,12735208,-1888245,-4699734,-16974906,2256940,-8166013,12298312,-8550524,-10393462 },
  { -5719826,-11245325,-1910649,15569035,26642876,-7587760,-5789354,-15118654,-4976164,12651793 },
  { -2848395,9953421,11531313,-5282879,26895123,-12697089,-13118820,-16517902,9768698,-2533218 },
 },
 {
  { -24719459,1894651,-287698,-4704085,15348719,-8156530,32767513,12765450,4940095,10678226 },
  { 18860224,15980149,-18987240,-1562570,-26233012,-11071856,-7843882,13944024,-24372348,16582019 },
  { -15504260,4970268,-29893044,4175593,-20993212,-2199756,-11704054,15444560,-11003761,7989037 },
 },
 {
  { 31490452,5568061,-2412803,2182383,-32336847,4531686,-32078269,6200206,-19686113,-14800171 },
  { -17308668,-15879940,-31522777,-2831,-32887382,16375549,8680158,-16371713,28550068,-6857132 },
  { -28126887,-5688091,16837845,-1820458,-6850681,12700016,-30039981,4364038,1155602,5988841 },
 },
 {
  { 21890435,-13272907,-12624011,12154349,-7831873,15300496,23148983,-4470481,24618407,8283181 },
  { -33136107,-10512751,9975416,6841041,-31559793,16356536,3070187,-7025928,1466169,10740210 },
  { -1509399,-15488185,-13503385,-10655916,32799044,909394,-13938903,-5779719,-32164649,-15327040 },
 },
 {
  { 3960823,-14267803,-28026090,-15918051,-19404858,13146868,15567327,951507,-3260321,-573935 },
  { 24740841,5052253,-30094131,8961361,25877428,6165135,-24368180,14397372,-7380369,-6144105 },
  { -28888365,3510803,-28103278,-1158478,-11238128,-10631454,-15441463,-14453128,-1625486,-6494814 },
 },
},
{
 {
  { 793299,-9230478,8836302,-6235707,-27360908,-2369593,33152843,-4885251,-9906200,-621852 },
  { 5666233,525582,20782575,-8038419,-24538499,14657740,16099374,1468826,-6171428,-15186581 },
  { -4859255,-3779343,-2917758,-6748019,7778750,11688288,-30404353,-9871238,-1558923,-9863646 },
 },
 {
  { 10896332,-7719704,824275,472601,-19460308,3009587,25248958,14783338,-30581476,-15757844 },
  { 10566929,12612572,-31944212,11118703,-12633376,12362879,21752402,8822496,24003793,14264025 },
  { 27713862,-7355973,-11008240,9227530,27050101,2504721,23886875,-13117525,13958495,-5732453 },
 },
 {
  { -23481610,4867226,-27247128,3900521,29838369,-8212291,-31889399,-10041781,7340521,-15410068 },
  { 4646514,-8011124,-22766023,-11532654,23184553,8566613,31366726,-1381061,-15066784,-10375192 },
  { -17270517,12723032,-16993061,14878794,21619651,-6197576,27584817,3093888,-8843694,3849921 },
 },
 {
  { -9064912,2103172,25561640,-15125738,-5239824,9582958,32477045,-9017955,5002294,-15550259 },
  { -12057553,-11177906,21115585,-13365155,8808712,-12030708,16489530,13378448,-25845716,12741426 },
  { -5946367,10645103,-30911586,15390284,-3286982,-7118677,24306472,15852464,28834118,-7646072 },
 },
 {
  { -17335748,-9107057,-24531279,9434953,-8472084,-583362,-13090771,455841,20461858,5491305 },
  { 13669248,-16095482,-12481974,-10203039,-14569770,-11893198,-24995986,11293807,-28588204,-9421832 },
  { 28497928,6272777,-33022994,14470570,8906179,-1225630,18504674,-14165166,29867745,-8795943 },
 },
 {
  { -16207023,13517196,-27799630,-13697798,24009064,-6373891,-6367600,-13175392,22853429,-4012011 },
  { 24191378,16712145,-13931797,15217831,14542237,1646131,18603514,-11037887,12876623,-2112447 },
  { 17902668,4518229,-411702,-2829247,26878217,5258055,-12860753,608397,16031844,3723494 },
 },
 {
  { -28632773,12763728,-20446446,7577504,33001348,-13017745,17558842,-7872890,23896954,-4314245 },
  { -20005381,-12011952,31520464,605201,2543521,5991821,-2945064,7229064,-9919646,-8826859 },
  { 28816045,298879,-28165016,-15920938,19000928,-1665890,-12680833,-2949325,-18051778,-2082915 },
 },
 {
  { 16000882,-344896,3493092,-11447198,-29504595,-13159789,12577740,16041268,-19715240,7847707 },
  { 10151868,10572098,27312476,7922682,14825339,4723128,-32855931,-6519018,-10020567,3852848 },
  { -11430470,15697596,-21121557,-4420647,5386314,15063598,16514493,-15932110,29330899,-15076224 },
 },
},
{
 {
  { -25499735,-4378794,-15222908,-6901211,16615731,2051784,3303702,15490,-27548796,12314391 },
  { 15683520,-6003043,18109120,-9980648,15337968,-5997823,-16717435,15921866,16103996,-3731215 },
  { -23169824,-10781249,13588192,-1628807,-3798557,-1074929,-19273607,5402699,-29815713,-9841101 },
 },
 {
  { 23190676,2384583,-32714340,3462154,-29903655,-1529132,-11266856,8911517,-25205859,2739713 },
  { 21374101,-3554250,-33524649,9874411,15377179,11831242,-33529904,6134907,4931255,11987849 },
  { -7732,-2978858,-16223486,7277597,105524,-322051,-31480539,13861388,-30076310,10117930 },
 },
 {
  { -29501170,-10744872,-26163768,13051539,-25625564,5089643,-6325503,6704079,12890019,15728940 },
  { -21972360,-11771379,-951059,-4418840,14704840,2695116,903376,-10428139,12885167,8311031 },
  { -17516482,5352194,10384213,-13811658,7506451,13453191,26423267,4384730,1888765,-5435404 },
 },
 {
  { -25817338,-3107312,-13494599,-3182506,30896459,-13921729,-32251644,-12707869,-19464434,-3340243 },
  { -23607977,-2665774,-526091,4651136,5765089,4618330,6092245,14845197,17151279,-9854116 },
  { -24830458,-12733720,-15165978,10367250,-29530908,-265356,22825805,-7087279,-16866484,16176525 },
 },
 {
  { -23583256,6564961,20063689,3798228,-4740178,7359225,2006182,-10363426,-28746253,-10197509 },
  { -10626600,-4486402,-13320562,-5125317,3432136,-6393229,23632037,-1940610,32808310,1099883 },
  { 15030977,5768825,-27451236,-2887299,-6427378,-15361371,-15277896,-6809350,2051441,-15225865 },
 },
 {
  { -3362323,-7239372,7517890,9824992,23555850,295369,5148398,-14154188,-22686354,16633660 },
  { 4577086,-16752288,13249841,-15304328,19958763,-14537274,18559670,-10759549,8402478,-9864273 },
  { -28406330,-1051581,-26790155,-907698,-17212414,-11030789,9453451,-14980072,17983010,9967138 },
 },
 {
  { -25762494,6524722,26585488,9969270,24709298,1220360,-1677990,7806337,17507396,3651560 },
  { -10420457,-4118111,14584639,15971087,-15768321,8861010,26556809,-5574557,-18553322,-11357135 },
  { 2839101,14284142,4029895,3472686,14402957,12689363,-26642121,8459447,-5605463,-7621941 },
 },
 {
  { -4839289,-3535444,9744961,2871048,25113978,3187018,-25110813,-849066,17258084,-7977739 },
  { 18164541,-10595176,-17154882,-1542417,19237078,-9745295,23357533,-15217008,26908270,12150756 },
  { -30264870,-7647865,5112249,-7036672,-1499807,-6974257,43168,-5537701,-32302074,16215819 },
 },
},
{
 {
  { -6898905,9824394,-12304779,-4401089,-31397141,-6276835,32574489,12532905,-7503072,-8675347 },
  { -27343522,-16515468,-27151524,-10722951,946346,16291093,254968,7168080,21676107,-1943028 },
  { 21260961,-8424752,-16831886,-11920822,-23677961,3968121,-3651949,-6215466,-3556191,-7913075 },
 },
 {
  { 16544754,13250366,-16804428,15546242,-4583003,12757258,-2462308,-8680336,-18907032,-9662799 },
  { -2415239,-15577728,18312303,4964443,-15272530,-12653564,26820651,16690659,25459437,-4564609 },
  { -25144690,11425020,28423002,-11020557,-6144921,-15826224,9142795,-2391602,-6432418,-1644817 },
 },
 {
  { -23104652,6253476,16964147,-3768872,-25113972,-12296437,-27457225,-16344658,6335692,7249989 },
  { -30333227,13979675,7503222,-12368314,-11956721,-4621693,-30272269,2682242,25993170,-12478523 },
  { 4364628,5930691,32304656,-10044554,-8054781,15091131,22857016,-10598955,31820368,15075278 },
 },
 {
  { 31879134,-8918693,17258761,90626,-8041836,-4917709,24162788,-9650886,-17970238,12833045 },
  { 19073683,14851414,-24403169,-11860168,7625278,11091125,-19619190,2074449,-9413939,14905377 },
  { 24483667,-11935567,-2518866,-11547418,-1553130,15355506,-25282080,9253129,27628530,-7555480 },
 },
 {
  { 17597607,8340603,19355617,552187,26198470,-3176583,4593324,-9157582,-14110875,15297016 },
  { 510886,14337390,-31785257,16638632,6328095,2713355,-20217417,-11864220,8683221,2921426 },
  { 18606791,11874196,27155355,-5281482,-24031742,6265446,-25178240,-1278924,4674690,13890525 },
 },
 {
  { 13609624,13069022,-27372361,-13055908,24360586,9592974,14977157,9835105,4389687,288396 },
  { 9922506,-519394,13613107,5883594,-18758345,-434263,-12304062,8317628,23388070,16052080 },
  { 12720016,11937594,-31970060,-5028689,26900120,8561328,-20155687,-11632979,-14754271,-10812892 },
 },
 {
  { 15961858,14150409,26716931,-665832,-22794328,13603569,11829573,7467844,-28822128,929275 },
  { 11038231,-11582396,-27310482,-7316562,-10498527,-16307831,-23479533,-9371869,-21393143,2465074 },
  { 20017163,-4323226,27915242,1529148,12396362,15675764,13817261,-9658066,2463391,-4622140 },
 },
 {
  { -16358878,-12663911,-12065183,4996454,-1256422,1073572,9583558,12851107,4003896,12673717 },
  { -1731589,-15155870,-3262930,16143082,19294135,13385325,14741514,-9103726,7903886,2348101 },
  { 24536016,-16515207,12715592,-3862155,1511293,10047386,-3842346,-7129159,-28377538,10048127 },
 },
},
{
 {
  { -12622226,-6204820,30718825,2591312,-10617028,12192840,18873298,-7297090,-32297756,15221632 },
  { -26478122,-11103864,11546244,-1852483,9180880,7656409,-21343950,2095755,29769758,6593415 },
  { -31994208,-2907461,4176912,3264766,12538965,-868111,26312345,-6118678,30958054,8292160 },
 },
 {
  { 31429822,-13959116,29173532,15632448,12174511,-2760094,32808831,3977186,26143136,-3148876 },
  { 22648901,1402143,-22799984,13746059,7936347,365344,-8668633,-1674433,-3758243,-2304625 },
  { -15491917,8012313,-2514730,-12702462,-23965846,-10254029,-1612713,-1535569,-16664475,8194478 },
 },
 {
  { 27338066,-7507420,-7414224,10140405,-19026427,-6589889,27277191,8855376,28572286,3005164 },
  { 26287124,4821776,25476601,-4145903,-3764513,-15788984,-18008582,1182479,-26094821,-13079595 },
  { -7171154,3178080,23970071,6201893,-17195577,-4489192,-21876275,-13982627,32208683,-1198248 },
 },
 {
  { -16657702,2817643,-10286362,14811298,6024667,13349505,-27315504,-10497842,-27672585,-11539858 },
  { 15941029,-9405932,-21367050,8062055,31876073,-238629,-15278393,-1444429,15397331,-4130193 },
  { 8934485,-13485467,-23286397,-13423241,-32446090,14047986,31170398,-1441021,-27505566,15087184 },
 },
 {
  { -18357243,-2156491,24524913,-16677868,15520427,-6360776,-15502406,11461896,16788528,-5868942 },
  { -1947386,16013773,21750665,3714552,-17401782,-16055433,-3770287,-10323320,31322514,-11615635 },
  { 21426655,-5650218,-13648287,-5347537,-28812189,-4920970,-18275391,-14621414,13040862,-12112948 },
 },
 {
  { 11293895,12478086,-27136401,15083750,-29307421,14748872,14555558,-13417103,1613711,4896935 },
  { -25894883,15323294,-8489791,-8057900,25967126,-13425460,2825960,-4897045,-23971776,-11267415 },
  { -15924766,-5229880,-17443532,6410664,3622847,10243618,20615400,12405433,-23753030,-8436416 },
 },
 {
  { -7091295,12556208,-20191352,9025187,-17072479,4333801,4378436,2432030,23097949,-566018 },
  { 4565804,-16025654,20084412,-7842817,1724999,189254,24767264,10103221,-18512313,2424778 },
  { 366633,-11976806,8173090,-6890119,30788634,5745705,-7168678,1344109,-3642553,12412659 },
 },
 {
  { -24001791,7690286,14929416,-168257,-32210835,-13412986,24162697,-15326504,-3141501,11179385 },
  { 18289522,-14724954,8056945,16430056,-21729724,7842514,-6001441,-1486897,-18684645,-11443503 },
  { 476239,6601091,-6152790,-9723375,17503545,-4863900,27672959,13403813,11052904,5219329 },
 },
},
{
 {
  { 20678546,-8375738,-32671898,8849123,-5009758,14574752,31186971,-3973730,9014762,-8579056 },
  { -13644050,-10350239,-15962508,5075808,-1514661,-11534600,-33102500,9160280,8473550,-3256838 },
  { 24900749,14435722,17209120,-15292541,-22592275,9878983,-7689309,-16335821,-24568481,11788948 },
 },
 {
  { -3118155,-11395194,-13802089,14797441,9652448,-6845904,-20037437,10410733,-24568470,-1458691 },
  { -15659161,16736706,-22467150,10215878,-9097177,7563911,11871841,-12505194,-18513325,8464118 },
  { -23400612,8348507,-14585951,-861714,-3950205,-6373419,14325289,8628612,33313881,-8370517 },
 },
 {
  { -20186973,-4967935,22367356,5271547,-1097117,-4788838,-24805667,-10236854,-8940735,-5818269 },
  { -6948785,-1795212,-32625683,-16021179,32635414,-7374245,15989197,-12838188,28358192,-4253904 },
  { -23561781,-2799059,-32351682,-1661963,-9147719,10429267,-16637684,4072016,-5351664,5596589 },
 },
 {
  { -28236598,-3390048,12312896,6213178,3117142,16078565,29266239,2557221,1768301,15373193 },
  { -7243358,-3246960,-4593467,-7553353,-127927,-912245,-1090902,-4504991,-24660491,3442910 },
  { -30210571,5124043,14181784,8197961,18964734,-11939093,22597931,7176455,-18585478,13365930 },
 },
 {
  { -7877390,-1499958,8324673,4690079,6261860,890446,24538107,-8570186,-9689599,-3031667 },
  { 25008904,-10771599,-4305031,-9638010,16265036,15721635,683793,-11823784,15723479,-15163481 },
  { -9660625,12374379,-27006999,-7026148,-7724114,-12314514,11879682,5400171,519526,-1235876 },
 },
 {
  { 22258397,-16332233,-7869817,14613016,-22520255,-2950923,-20353881,7315967,16648397,7605640 },
  { -8081308,-8464597,-8223311,9719710,19259459,-15348212,23994942,-5281555,-9468848,4763278 },
  { -21699244,9220969,-15730624,1084137,-25476107,-2852390,31088447,-7764523,-11356529,728112 },
 },
 {
  { 26047220,-11751471,-6900323,-16521798,24092068,9158119,-4273545,-12555558,-29365436,-5498272 },
  { 17510331,-322857,5854289,8403524,17133918,-3112612,-28111007,12327945,10750447,10014012 },
  { -10312768,3936952,9156313,-8897683,16498692,-994647,-27481051,-666732,3424691,7540221 },
 },
 {
  { 30322361,-6964110,11361005,-4143317,7433304,4989748,-7071422,-16317219,-9244265,15258046 },
  { 13054562,-2779497,19155474,469045,-12482797,4566042,5631406,2711395,1062915,-5136345 },
  { -19240248,-11254599,-29509029,-7499965,-5835763,13005411,-6066489,12194497,32960380,1459310 },
 },
},
{
 {
  { 19852034,7027924,23669353,10020366,8586503,-6657907,394197,-6101885,18638003,-11174937 },
  { 31395534,15098109,26581030,8030562,-16527914,-5007134,9012486,-7584354,-6643087,-5442636 },
  { -9192165,-2347377,-1997099,4529534,25766844,607986,-13222,9677543,-32294889,-6456008 },
 },
 {
  { -2444496,-149937,29348902,8186665,1873760,12489863,-30934579,-7839692,-7852844,-8138429 },
  { -15236356,-15433509,7766470,746860,26346930,-10221762,-27333451,10754588,-9431476,5203576 },
  { 31834314,14135496,-770007,5159118,20917671,-16768096,-7467973,-7337524,31809243,7347066 },
 },
 {
  { -9606723,-11874240,20414459,13033986,13716524,-11691881,19797970,-12211255,15192876,-2087490 },
  { -12663563,-2181719,1168162,-3804809,26747877,-14138091,10609330,12694420,33473243,-13382104 },
  { 33184999,11180355,15832085,-11385430,-1633671,225884,15089336,-11023903,-6135662,14480053 },
 },
 {
  { 31308717,-5619998,31030840,-1897099,15674547,-6582883,5496208,13685227,27595050,8737275 },
  { -20318852,-15150239,10933843,-16178022,8335352,-7546022,-31008351,-12610604,26498114,66511 },
  { 22644454,-8761729,-16671776,4884562,-3105614,-13559366,30540766,-4286747,-13327787,-7515095 },
 },
 {
  { -28017847,9834845,18617207,-2681312,-3401956,-13307506,8205540,13585437,-17127465,15115439 },
  { 23711543,-672915,31206561,-8362711,6164647,-9709987,-33535882,-1426096,8236921,16492939 },
  { -23910559,-13515526,-26299483,-4503841,25005590,-7687270,19574902,10071562,6708380,-6222424 },
 },
 {
  { 2101391,-4930054,19702731,2367575,-15427167,1047675,5301017,9328700,29955601,-11678310 },
  { 3096359,9271816,-21620864,-15521844,-14847996,-7592937,-25892142,-12635595,-9917575,6216608 },
  { -32615849,338663,-25195611,2510422,-29213566,-13820213,24822830,-6146567,-26767480,7525079 },
 },
 {
  { -23066649,-13985623,16133487,-7896178,-3389565,778788,-910336,-2782495,-19386633,11994101 },
  { 21691500,-13624626,-641331,-14367021,3285881,-3483596,-25064666,9718258,-7477437,13381418 },
  { 18445390,-4202236,14979846,11622458,-1727110,-3582980,23111648,-6375247,28535282,15779576 },
 },
 {
  { 30098053,3089662,-9234387,16662135,-21306940,11308411,-14068454,12021730,9955285,-16303356 },
  { 9734894,-14576830,-7473633,-9138735,2060392,11313496,-18426029,9924399,20194861,13380996 },
  { -26378102,-7965207,-22167821,15789297,-18055342,-6168792,-1984914,15707771,26342023,10146099 },
 },
},
{
 {
  { -26016874,-219943,21339191,-41388,19745256,-2878700,-29637280,2227040,21612326,-545728 },
  { -13077387,1184228,23562814,-5970442,-20351244,-6348714,25764461,12243797,-20856566,11649658 },
  { -10031494,11262626,27384172,2271902,26947504,-15997771,39944,6114064,33514190,2333242 },
 },
 {
  { -21433588,-12421821,8119782,7219913,-21830522,-9016134,-6679750,-12670638,24350578,-13450001 },
  { -4116307,-11271533,-23886186,4843615,-30088339,690623,-31536088,-10406836,8317860,12352766 },
  { 18200138,-14475911,-33087759,-2696619,-23702521,-9102511,-23552096,-2287550,20712163,6719373 },
 },
 {
  { 26656208,6075253,-7858556,1886072,-28344043,4262326,11117530,-3763210,26224235,-3297458 },
  { -17168938,-14854097,-3395676,-16369877,-19954045,14050420,21728352,9493610,18620611,-16428628 },
  { -13323321,13325349,11432106,5964811,18609221,6062965,-5269471,-9725556,-30701573,-16479657 },
 },
 {
  { -23860538,-11233159,26961357,1640861,-32413112,-16737940,12248509,-5240639,13735342,1934062 },
  { 25089769,6742589,17081145,-13406266,21909293,-16067981,-15136294,-3765346,-21277997,5473616 },
  { 31883677,-7961101,1083432,-11572403,22828471,13290673,-7125085,12469656,29111212,-5451014 },
 },
 {
  { 24244947,-15050407,-26262976,2791540,-14997599,16666678,24367466,6388839,-10295587,452383 },
  { -25640782,-3417841,5217916,16224624,19987036,-4082269,-24236251,-5915248,15766062,8407814 },
  { -20406999,13990231,15495425,16395525,5377168,15166495,-8917023,-4388953,-8067909,2276718 },
 },
 {
  { 30157918,12924066,-17712050,9245753,19895028,3368142,-23827587,5096219,22740376,-7303417 },
  { 2041139,-14256350,7783687,13876377,-25946985,-13352459,24051124,13742383,-15637599,13295222 },
  { 33338237,-8505733,12532113,7977527,9106186,-1715251,-17720195,-4612972,-4451357,-14669444 },
 },
 {
  { -20045281,5454097,-14346548,6447146,28862071,1883651,-2469266,-4141880,7770569,9620597 },
  { 23208068,7979712,33071466,8149229,1758231,-10834995,30945528,-1694323,-33502340,-14767970 },
  { 1439958,-16270480,-1079989,-793782,4625402,10647766,-5043801,1220118,30494170,-11440799 },
 },
 {
  { -5037580,-13028295,-2970559,-3061767,15640974,-6701666,-26739026,926050,-1684339,-13333647 },
  { 13908495,-3549272,30919928,-6273825,-21521863,7989039,9021034,9078865,3353509,4033511 },
  { -29663431,-15113610,32259991,-344482,24295849,-12912123,23161163,8839127,27485041,7356032 },
 },
},
{
 {
  { 9661027,705443,11980065,-5370154,-1628543,14661173,-6346142,2625015,28431036,-16771834 },
  { -23839233,-8311415,-25945511,7480958,-17681669,-8354183,-22545972,14150565,15970762,4099461 },
  { 29262576,16756590,26350592,-8793563,8529671,-11208050,13617293,-9937143,11465739,8317062 },
 },
 {
  { -25493081,-6962928,32500200,-9419051,-23038724,-2302222,14898637,3848455,20969334,-5157516 },
  { -20384450,-14347713,-18336405,13884722,-33039454,2842114,-21610826,-3649888,11177095,14989547 },
  { -24496721,-11716016,16959896,2278463,12066309,10137771,13515641,2581286,-28487508,9930240 },
 },
 {
  { -17751622,-2097826,16544300,-13009300,-15914807,-14949081,18345767,-13403753,16291481,-5314038 },
  { -33229194,2553288,32678213,9875984,8534129,6889387,-9676774,6957617,4368891,9788741 },
  { 16660756,7281060,-10830758,12911820,20108584,-8101676,-21722536,-8613148,16250552,-11111103 },
 },
 {
  { -19765507,2390526,-16551031,14161980,1905286,6414907,4689584,10604807,-30190403,4782747 },
  { -1354539,14736941,-7367442,-13292886,7710542,-14155590,-9981571,4383045,22546403,437323 },
  { 31665577,-12180464,-16186830,1491339,-18368625,3294682,27343084,2786261,-30633590,-14097016 },
 },
 {
  { -14467279,-683715,-33374107,7448552,19294360,14334329,-19690631,2355319,-19284671,-6114373 },
  { 15121312,-15796162,6377020,-6031361,-10798111,-12957845,18952177,15496498,-29380133,11754228 },
  { -2637277,-13483075,8488727,-14303896,12728761,-1622493,7141596,11724556,22761615,-10134141 },
 },
 {
  { 16918416,11729663,-18083579,3022987,-31015732,-13339659,-28741185,-12227393,32851222,11717399 },
  { 11166634,7338049,-6722523,4531520,-29468672,-7302055,31474879,3483633,-1193175,-4030831 },
  { -185635,9921305,31456609,-13536438,-12013818,13348923,33142652,6546660,-19985279,-3948376 },
 },
 {
  { -32460596,11266712,-11197107,-7899103,31703694,3855903,-8537131,-12833048,-30772034,-15486313 },
  { -18006477,12709068,3991746,-6479188,-21491523,-10550425,-31135347,-16049879,10928917,3011958 },
  { -6957757,-15594337,31696059,334240,29576716,14796075,-30831056,-12805180,18008031,10258577 },
 },
 {
  { -22448644,15655569,7018479,-4410003,-30314266,-1201591,-1853465,1367120,25127874,6671743 },
  { 29701166,-14373934,-10878120,9279288,-17568,13127210,21382910,11042292,25838796,4642684 },
  { -20430234,14955537,-24126347,8124619,-5369288,-5990470,30468147,-13900640,18423289,4177476 },
 },
},
} ;

static void ge_p2_0(ge_p2 *h)
{
  fe_0(h->X);
  fe_1(h->Y);
  fe_1(h->Z);
}

static void ge_p3_0(ge_p3 *h)
{
  fe_0(h->X);
  fe_1(h->Y);
  fe_1(h->Z);
  fe_0(h->T);
}

static void ge_precomp_0(ge_precomp *h)
{
  fe_1(h->yplusx);
  fe_1(h->yminusx);
  fe_0(h->xy2d);
}

/*
r = p
*/

static void ge_p1p1_to_p2(ge_p2 *r,const ge_p1p1 *p)
{
  fe_mul(r->X,p->X,p->T);
  fe_mul(r->Y,p->Y,p->Z);
  fe_mul(r->Z,p->Z,p->T);
}

/*
r = p
*/

static void ge_p1p1_to_p3(ge_p3 *r,const ge_p1p1 *p)
{
  fe_mul(r->X,p->X,p->T);
  fe_mul(r->Y,p->Y,p->Z);
  fe_mul(r->Z,p->Z,p->T);
  fe_mul(r->T,p->X,p->Y);
}

/*
r = p
*/

static void ge_p3_to_p2(ge_p2 *r,const ge_p3 *p)
{
  fe_copy(r->X,p->X);
  fe_copy(r->Y,p->Y);
  fe_copy(r->Z,p->Z);
}


/*
r = 2 * p
*/

static void ge_p2_dbl(ge_p1p1 *r,const ge_p2 *p)
{
  fe t0;
/* qhasm: enter ge_p2_dbl */

/* qhasm: fe X1 */

/* qhasm: fe Y1 */

/* qhasm: fe Z1 */

/* qhasm: fe A */

/* qhasm: fe AA */

/* qhasm: fe XX */

/* qhasm: fe YY */

/* qhasm: fe B */

/* qhasm: fe X3 */

/* qhasm: fe Y3 */

/* qhasm: fe Z3 */

/* qhasm: fe T3 */

/* qhasm: XX=X1^2 */
/* asm 1: fe_sq(>XX=fe#1,<X1=fe#11); */
/* asm 2: fe_sq(>XX=r->X,<X1=p->X); */
fe_sq(r->X,p->X);

/* qhasm: YY=Y1^2 */
/* asm 1: fe_sq(>YY=fe#3,<Y1=fe#12); */
/* asm 2: fe_sq(>YY=r->Z,<Y1=p->Y); */
fe_sq(r->Z,p->Y);

/* qhasm: B=2*Z1^2 */
/* asm 1: fe_sq2(>B=fe#4,<Z1=fe#13); */
/* asm 2: fe_sq2(>B=r->T,<Z1=p->Z); */
fe_sq2(r->T,p->Z);

/* qhasm: A=X1+Y1 */
/* asm 1: fe_add(>A=fe#2,<X1=fe#11,<Y1=fe#12); */
/* asm 2: fe_add(>A=r->Y,<X1=p->X,<Y1=p->Y); */
fe_add(r->Y,p->X,p->Y);

/* qhasm: AA=A^2 */
/* asm 1: fe_sq(>AA=fe#5,<A=fe#2); */
/* asm 2: fe_sq(>AA=t0,<A=r->Y); */
fe_sq(t0,r->Y);

/* qhasm: Y3=YY+XX */
/* asm 1: fe_add(>Y3=fe#2,<YY=fe#3,<XX=fe#1); */
/* asm 2: fe_add(>Y3=r->Y,<YY=r->Z,<XX=r->X); */
fe_add(r->Y,r->Z,r->X);

/* qhasm: Z3=YY-XX */
/* asm 1: fe_sub(>Z3=fe#3,<YY=fe#3,<XX=fe#1); */
/* asm 2: fe_sub(>Z3=r->Z,<YY=r->Z,<XX=r->X); */
fe_sub(r->Z,r->Z,r->X);

/* qhasm: X3=AA-Y3 */
/* asm 1: fe_sub(>X3=fe#1,<AA=fe#5,<Y3=fe#2); */
/* asm 2: fe_sub(>X3=r->X,<AA=t0,<Y3=r->Y); */
fe_sub(r->X,t0,r->Y);

/* qhasm: T3=B-Z3 */
/* asm 1: fe_sub(>T3=fe#4,<B=fe#4,<Z3=fe#3); */
/* asm 2: fe_sub(>T3=r->T,<B=r->T,<Z3=r->Z); */
fe_sub(r->T,r->T,r->Z);

/* qhasm: return */
}


/*
r = 2 * p
*/

static void ge_p3_dbl(ge_p1p1 *r,const ge_p3 *p)
{
  ge_p2 q;
  ge_p3_to_p2(&q,p);
  ge_p2_dbl(r,&q);
}


/*
r = p
*/

static void ge_p3_to_cached(ge_cached *r,const ge_p3 *p)
{
  fe_add(r->YplusX,p->Y,p->X);
  fe_sub(r->YminusX,p->Y,p->X);
  fe_copy(r->Z,p->Z);
  fe_mul(r->T2d,p->T,d2);
}

/*
r = p + q
*/

static void ge_add(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q)
{
  fe t0;
/* qhasm: enter ge_add */

/* qhasm: fe X1 */

/* qhasm: fe Y1 */

/* qhasm: fe Z1 */

/* qhasm: fe Z2 */

/* qhasm: fe T1 */

/* qhasm: fe ZZ */

/* qhasm: fe YpX2 */

/* qhasm: fe YmX2 */

/* qhasm: fe T2d2 */

/* qhasm: fe X3 */

/* qhasm: fe Y3 */

/* qhasm: fe Z3 */

/* qhasm: fe T3 */

/* qhasm: fe YpX1 */

/* qhasm: fe YmX1 */

/* qhasm: fe A */

/* qhasm: fe B */

/* qhasm: fe C */

/* qhasm: fe D */

/* qhasm: YpX1 = Y1+X1 */
/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
fe_add(r->X,p->Y,p->X);

/* qhasm: YmX1 = Y1-X1 */
/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
fe_sub(r->Y,p->Y,p->X);

/* qhasm: A = YpX1*YpX2 */
/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YpX2=fe#15); */
/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<YpX2=q->YplusX); */
fe_mul(r->Z,r->X,q->YplusX);

/* qhasm: B = YmX1*YmX2 */
/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YmX2=fe#16); */
/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<YmX2=q->YminusX); */
fe_mul(r->Y,r->Y,q->YminusX);

/* qhasm: C = T2d2*T1 */
/* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */
/* asm 2: fe_mul(>C=r->T,<T2d2=q->T2d,<T1=p->T); */
fe_mul(r->T,q->T2d,p->T);

/* qhasm: ZZ = Z1*Z2 */
/* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */
/* asm 2: fe_mul(>ZZ=r->X,<Z1=p->Z,<Z2=q->Z); */
fe_mul(r->X,p->Z,q->Z);

/* qhasm: D = 2*ZZ */
/* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */
/* asm 2: fe_add(>D=t0,<ZZ=r->X,<ZZ=r->X); */
fe_add(t0,r->X,r->X);

/* qhasm: X3 = A-B */
/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
fe_sub(r->X,r->Z,r->Y);

/* qhasm: Y3 = A+B */
/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
fe_add(r->Y,r->Z,r->Y);

/* qhasm: Z3 = D+C */
/* asm 1: fe_add(>Z3=fe#3,<D=fe#5,<C=fe#4); */
/* asm 2: fe_add(>Z3=r->Z,<D=t0,<C=r->T); */
fe_add(r->Z,t0,r->T);

/* qhasm: T3 = D-C */
/* asm 1: fe_sub(>T3=fe#4,<D=fe#5,<C=fe#4); */
/* asm 2: fe_sub(>T3=r->T,<D=t0,<C=r->T); */
fe_sub(r->T,t0,r->T);

/* qhasm: return */
}


/*
r = p - q
*/

static void ge_sub(ge_p1p1 *r,const ge_p3 *p,const ge_cached *q)
{
  fe t0;
/* qhasm: enter ge_sub */

/* qhasm: fe X1 */

/* qhasm: fe Y1 */

/* qhasm: fe Z1 */

/* qhasm: fe Z2 */

/* qhasm: fe T1 */

/* qhasm: fe ZZ */

/* qhasm: fe YpX2 */

/* qhasm: fe YmX2 */

/* qhasm: fe T2d2 */

/* qhasm: fe X3 */

/* qhasm: fe Y3 */

/* qhasm: fe Z3 */

/* qhasm: fe T3 */

/* qhasm: fe YpX1 */

/* qhasm: fe YmX1 */

/* qhasm: fe A */

/* qhasm: fe B */

/* qhasm: fe C */

/* qhasm: fe D */

/* qhasm: YpX1 = Y1+X1 */
/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
fe_add(r->X,p->Y,p->X);

/* qhasm: YmX1 = Y1-X1 */
/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
fe_sub(r->Y,p->Y,p->X);

/* qhasm: A = YpX1*YmX2 */
/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<YmX2=fe#16); */
/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<YmX2=q->YminusX); */
fe_mul(r->Z,r->X,q->YminusX);

/* qhasm: B = YmX1*YpX2 */
/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<YpX2=fe#15); */
/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<YpX2=q->YplusX); */
fe_mul(r->Y,r->Y,q->YplusX);

/* qhasm: C = T2d2*T1 */
/* asm 1: fe_mul(>C=fe#4,<T2d2=fe#18,<T1=fe#14); */
/* asm 2: fe_mul(>C=r->T,<T2d2=q->T2d,<T1=p->T); */
fe_mul(r->T,q->T2d,p->T);

/* qhasm: ZZ = Z1*Z2 */
/* asm 1: fe_mul(>ZZ=fe#1,<Z1=fe#13,<Z2=fe#17); */
/* asm 2: fe_mul(>ZZ=r->X,<Z1=p->Z,<Z2=q->Z); */
fe_mul(r->X,p->Z,q->Z);

/* qhasm: D = 2*ZZ */
/* asm 1: fe_add(>D=fe#5,<ZZ=fe#1,<ZZ=fe#1); */
/* asm 2: fe_add(>D=t0,<ZZ=r->X,<ZZ=r->X); */
fe_add(t0,r->X,r->X);

/* qhasm: X3 = A-B */
/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
fe_sub(r->X,r->Z,r->Y);

/* qhasm: Y3 = A+B */
/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
fe_add(r->Y,r->Z,r->Y);

/* qhasm: Z3 = D-C */
/* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */
/* asm 2: fe_sub(>Z3=r->Z,<D=t0,<C=r->T); */
fe_sub(r->Z,t0,r->T);

/* qhasm: T3 = D+C */
/* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */
/* asm 2: fe_add(>T3=r->T,<D=t0,<C=r->T); */
fe_add(r->T,t0,r->T);

/* qhasm: return */
}


/*
r = p + q
*/

static void ge_madd(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q)
{
  fe t0;
/* qhasm: enter ge_madd */

/* qhasm: fe X1 */

/* qhasm: fe Y1 */

/* qhasm: fe Z1 */

/* qhasm: fe T1 */

/* qhasm: fe ypx2 */

/* qhasm: fe ymx2 */

/* qhasm: fe xy2d2 */

/* qhasm: fe X3 */

/* qhasm: fe Y3 */

/* qhasm: fe Z3 */

/* qhasm: fe T3 */

/* qhasm: fe YpX1 */

/* qhasm: fe YmX1 */

/* qhasm: fe A */

/* qhasm: fe B */

/* qhasm: fe C */

/* qhasm: fe D */

/* qhasm: YpX1 = Y1+X1 */
/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
fe_add(r->X,p->Y,p->X);

/* qhasm: YmX1 = Y1-X1 */
/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
fe_sub(r->Y,p->Y,p->X);

/* qhasm: A = YpX1*ypx2 */
/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<ypx2=fe#15); */
/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<ypx2=q->yplusx); */
fe_mul(r->Z,r->X,q->yplusx);

/* qhasm: B = YmX1*ymx2 */
/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<ymx2=fe#16); */
/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<ymx2=q->yminusx); */
fe_mul(r->Y,r->Y,q->yminusx);

/* qhasm: C = xy2d2*T1 */
/* asm 1: fe_mul(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */
/* asm 2: fe_mul(>C=r->T,<xy2d2=q->xy2d,<T1=p->T); */
fe_mul(r->T,q->xy2d,p->T);

/* qhasm: D = 2*Z1 */
/* asm 1: fe_add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */
/* asm 2: fe_add(>D=t0,<Z1=p->Z,<Z1=p->Z); */
fe_add(t0,p->Z,p->Z);

/* qhasm: X3 = A-B */
/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
fe_sub(r->X,r->Z,r->Y);

/* qhasm: Y3 = A+B */
/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
fe_add(r->Y,r->Z,r->Y);

/* qhasm: Z3 = D+C */
/* asm 1: fe_add(>Z3=fe#3,<D=fe#5,<C=fe#4); */
/* asm 2: fe_add(>Z3=r->Z,<D=t0,<C=r->T); */
fe_add(r->Z,t0,r->T);

/* qhasm: T3 = D-C */
/* asm 1: fe_sub(>T3=fe#4,<D=fe#5,<C=fe#4); */
/* asm 2: fe_sub(>T3=r->T,<D=t0,<C=r->T); */
fe_sub(r->T,t0,r->T);

/* qhasm: return */
}


/*
r = p - q
*/

static void ge_msub(ge_p1p1 *r,const ge_p3 *p,const ge_precomp *q)
{
  fe t0;
/* qhasm: enter ge_msub */

/* qhasm: fe X1 */

/* qhasm: fe Y1 */

/* qhasm: fe Z1 */

/* qhasm: fe T1 */

/* qhasm: fe ypx2 */

/* qhasm: fe ymx2 */

/* qhasm: fe xy2d2 */

/* qhasm: fe X3 */

/* qhasm: fe Y3 */

/* qhasm: fe Z3 */

/* qhasm: fe T3 */

/* qhasm: fe YpX1 */

/* qhasm: fe YmX1 */

/* qhasm: fe A */

/* qhasm: fe B */

/* qhasm: fe C */

/* qhasm: fe D */

/* qhasm: YpX1 = Y1+X1 */
/* asm 1: fe_add(>YpX1=fe#1,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_add(>YpX1=r->X,<Y1=p->Y,<X1=p->X); */
fe_add(r->X,p->Y,p->X);

/* qhasm: YmX1 = Y1-X1 */
/* asm 1: fe_sub(>YmX1=fe#2,<Y1=fe#12,<X1=fe#11); */
/* asm 2: fe_sub(>YmX1=r->Y,<Y1=p->Y,<X1=p->X); */
fe_sub(r->Y,p->Y,p->X);

/* qhasm: A = YpX1*ymx2 */
/* asm 1: fe_mul(>A=fe#3,<YpX1=fe#1,<ymx2=fe#16); */
/* asm 2: fe_mul(>A=r->Z,<YpX1=r->X,<ymx2=q->yminusx); */
fe_mul(r->Z,r->X,q->yminusx);

/* qhasm: B = YmX1*ypx2 */
/* asm 1: fe_mul(>B=fe#2,<YmX1=fe#2,<ypx2=fe#15); */
/* asm 2: fe_mul(>B=r->Y,<YmX1=r->Y,<ypx2=q->yplusx); */
fe_mul(r->Y,r->Y,q->yplusx);

/* qhasm: C = xy2d2*T1 */
/* asm 1: fe_mul(>C=fe#4,<xy2d2=fe#17,<T1=fe#14); */
/* asm 2: fe_mul(>C=r->T,<xy2d2=q->xy2d,<T1=p->T); */
fe_mul(r->T,q->xy2d,p->T);

/* qhasm: D = 2*Z1 */
/* asm 1: fe_add(>D=fe#5,<Z1=fe#13,<Z1=fe#13); */
/* asm 2: fe_add(>D=t0,<Z1=p->Z,<Z1=p->Z); */
fe_add(t0,p->Z,p->Z);

/* qhasm: X3 = A-B */
/* asm 1: fe_sub(>X3=fe#1,<A=fe#3,<B=fe#2); */
/* asm 2: fe_sub(>X3=r->X,<A=r->Z,<B=r->Y); */
fe_sub(r->X,r->Z,r->Y);

/* qhasm: Y3 = A+B */
/* asm 1: fe_add(>Y3=fe#2,<A=fe#3,<B=fe#2); */
/* asm 2: fe_add(>Y3=r->Y,<A=r->Z,<B=r->Y); */
fe_add(r->Y,r->Z,r->Y);

/* qhasm: Z3 = D-C */
/* asm 1: fe_sub(>Z3=fe#3,<D=fe#5,<C=fe#4); */
/* asm 2: fe_sub(>Z3=r->Z,<D=t0,<C=r->T); */
fe_sub(r->Z,t0,r->T);

/* qhasm: T3 = D+C */
/* asm 1: fe_add(>T3=fe#4,<D=fe#5,<C=fe#4); */
/* asm 2: fe_add(>T3=r->T,<D=t0,<C=r->T); */
fe_add(r->T,t0,r->T);

/* qhasm: return */
}


static void ge_p3_tobytes(unsigned char *s,const ge_p3 *h)
{
  fe recip;
  fe x;
  fe y;

  fe_invert(recip,h->Z);
  fe_mul(x,h->X,recip);
  fe_mul(y,h->Y,recip);
  fe_tobytes(s,y);
  s[31] ^= fe_isnegative(x) << 7;
}

static void ge_tobytes(unsigned char *s,const ge_p2 *h)
{
  fe recip;
  fe x;
  fe y;

  fe_invert(recip,h->Z);
  fe_mul(x,h->X,recip);
  fe_mul(y,h->Y,recip);
  fe_tobytes(s,y);
  s[31] ^= fe_isnegative(x) << 7;
}

static int ge_frombytes_negate_vartime(ge_p3 *h,const unsigned char *s)
{
  fe u;
  fe v;
  fe v3;
  fe vxx;
  fe check;

  fe_frombytes(h->Y,s);
  fe_1(h->Z);
  fe_sq(u,h->Y);
  fe_mul(v,u,d);
  fe_sub(u,u,h->Z);       /* u = y^2-1 */
  fe_add(v,v,h->Z);       /* v = dy^2+1 */

  fe_sq(v3,v);
  fe_mul(v3,v3,v);        /* v3 = v^3 */
  fe_sq(h->X,v3);
  fe_mul(h->X,h->X,v);
  fe_mul(h->X,h->X,u);    /* x = uv^7 */

  fe_pow22523(h->X,h->X); /* x = (uv^7)^((q-5)/8) */
  fe_mul(h->X,h->X,v3);
  fe_mul(h->X,h->X,u);    /* x = uv^3(uv^7)^((q-5)/8) */

  fe_sq(vxx,h->X);
  fe_mul(vxx,vxx,v);
  fe_sub(check,vxx,u);    /* vx^2-u */
  if (fe_isnonzero(check)) {
    fe_add(check,vxx,u);  /* vx^2+u */
    if (fe_isnonzero(check)) return -1;
    fe_mul(h->X,h->X,sqrtm1);
  }

  if (fe_isnegative(h->X) == (s[31] >> 7))
    fe_neg(h->X,h->X);

  fe_mul(h->T,h->X,h->Y);
  return 0;
}


static void slide(signed char *r,const unsigned char *a)
{
  int i;
  int b;
  int k;

  for (i = 0;i < 256;++i)
    r[i] = 1 & (a[i >> 3] >> (i & 7));

  for (i = 0;i < 256;++i)
    if (r[i]) {
      for (b = 1;b <= 6 && i + b < 256;++b) {
        if (r[i + b]) {
          if (r[i] + (r[i + b] << b) <= 15) {
            r[i] += r[i + b] << b; r[i + b] = 0;
          } else if (r[i] - (r[i + b] << b) >= -15) {
            r[i] -= r[i + b] << b;
            for (k = i + b;k < 256;++k) {
              if (!r[k]) {
                r[k] = 1;
                break;
              }
              r[k] = 0;
            }
          } else
            break;
        }
      }
    }

}


/*
r = a * A + b * B
where a = a[0]+256*a[1]+...+256^31 a[31].
and b = b[0]+256*b[1]+...+256^31 b[31].
B is the Ed25519 base point (x,4/5) with x positive.
*/

static void ge_double_scalarmult_vartime(ge_p2 *r,const unsigned char *a,const ge_p3 *A,const unsigned char *b)
{
  signed char aslide[256];
  signed char bslide[256];
  ge_cached Ai[8]; /* A,3A,5A,7A,9A,11A,13A,15A */
  ge_p1p1 t;
  ge_p3 u;
  ge_p3 A2;
  int i;

  slide(aslide,a);
  slide(bslide,b);

  ge_p3_to_cached(&Ai[0],A);
  ge_p3_dbl(&t,A); ge_p1p1_to_p3(&A2,&t);
  ge_add(&t,&A2,&Ai[0]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[1],&u);
  ge_add(&t,&A2,&Ai[1]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[2],&u);
  ge_add(&t,&A2,&Ai[2]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[3],&u);
  ge_add(&t,&A2,&Ai[3]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[4],&u);
  ge_add(&t,&A2,&Ai[4]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[5],&u);
  ge_add(&t,&A2,&Ai[5]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[6],&u);
  ge_add(&t,&A2,&Ai[6]); ge_p1p1_to_p3(&u,&t); ge_p3_to_cached(&Ai[7],&u);

  ge_p2_0(r);

  for (i = 255;i >= 0;--i) {
    if (aslide[i] || bslide[i]) break;
  }

  for (;i >= 0;--i) {
    ge_p2_dbl(&t,r);

    if (aslide[i] > 0) {
      ge_p1p1_to_p3(&u,&t);
      ge_add(&t,&u,&Ai[aslide[i]/2]);
    } else if (aslide[i] < 0) {
      ge_p1p1_to_p3(&u,&t);
      ge_sub(&t,&u,&Ai[(-aslide[i])/2]);
    }

    if (bslide[i] > 0) {
      ge_p1p1_to_p3(&u,&t);
      ge_madd(&t,&u,&Bi[bslide[i]/2]);
    } else if (bslide[i] < 0) {
      ge_p1p1_to_p3(&u,&t);
      ge_msub(&t,&u,&Bi[(-bslide[i])/2]);
    }

    ge_p1p1_to_p2(r,&t);
  }
}

static unsigned char equal(signed char b,signed char c)
{
  unsigned char ub = b;
  unsigned char uc = c;
  unsigned char x = ub ^ uc; /* 0: yes; 1..255: no */
  crypto_uint32 y = x; /* 0: yes; 1..255: no */
  y -= 1; /* 4294967295: yes; 0..254: no */
  y >>= 31; /* 1: yes; 0: no */
  return y;
}

static unsigned char negative(signed char b)
{
  unsigned long long x = b; /* 18446744073709551361..18446744073709551615: yes; 0..255: no */
  x >>= 63; /* 1: yes; 0: no */
  return x;
}

static void cmov(ge_precomp *t,ge_precomp *u,unsigned char b)
{
  fe_cmov(t->yplusx,u->yplusx,b);
  fe_cmov(t->yminusx,u->yminusx,b);
  fe_cmov(t->xy2d,u->xy2d,b);
}



static void select(ge_precomp *t,int pos,signed char b)
{
  ge_precomp minust;
  unsigned char bnegative = negative(b);
  unsigned char babs = b - (((-bnegative) & b) << 1);

  ge_precomp_0(t);
  cmov(t,&base[pos][0],equal(babs,1));
  cmov(t,&base[pos][1],equal(babs,2));
  cmov(t,&base[pos][2],equal(babs,3));
  cmov(t,&base[pos][3],equal(babs,4));
  cmov(t,&base[pos][4],equal(babs,5));
  cmov(t,&base[pos][5],equal(babs,6));
  cmov(t,&base[pos][6],equal(babs,7));
  cmov(t,&base[pos][7],equal(babs,8));
  fe_copy(minust.yplusx,t->yminusx);
  fe_copy(minust.yminusx,t->yplusx);
  fe_neg(minust.xy2d,t->xy2d);
  cmov(t,&minust,bnegative);
}

/*
h = a * B
where a = a[0]+256*a[1]+...+256^31 a[31]
B is the Ed25519 base point (x,4/5) with x positive.

Preconditions:
  a[31] <= 127
*/

static void ge_scalarmult_base(ge_p3 *h,const unsigned char *a)
{
  signed char e[64];
  signed char carry;
  ge_p1p1 r;
  ge_p2 s;
  ge_precomp t;
  int i;

  for (i = 0;i < 32;++i) {
    e[2 * i + 0] = (a[i] >> 0) & 15;
    e[2 * i + 1] = (a[i] >> 4) & 15;
  }
  /* each e[i] is between 0 and 15 */
  /* e[63] is between 0 and 7 */

  carry = 0;
  for (i = 0;i < 63;++i) {
    e[i] += carry;
    carry = e[i] + 8;
    carry >>= 4;
    e[i] -= carry << 4;
  }
  e[63] += carry;
  /* each e[i] is between -8 and 8 */

  ge_p3_0(h);
  for (i = 1;i < 64;i += 2) {
    select(&t,i / 2,e[i]);
    ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r);
  }

  ge_p3_dbl(&r,h);  ge_p1p1_to_p2(&s,&r);
  ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r);
  ge_p2_dbl(&r,&s); ge_p1p1_to_p2(&s,&r);
  ge_p2_dbl(&r,&s); ge_p1p1_to_p3(h,&r);

  for (i = 0;i < 64;i += 2) {
    select(&t,i / 2,e[i]);
    ge_madd(&r,h,&t); ge_p1p1_to_p3(h,&r);
  }
}

/*
Input:
  s[0]+256*s[1]+...+256^63*s[63] = s

Output:
  s[0]+256*s[1]+...+256^31*s[31] = s mod l
  where l = 2^252 + 27742317777372353535851937790883648493.
  Overwrites s in place.
*/

static void sc_reduce(unsigned char *s)
{
  crypto_int64 s0 = 2097151 & load_3(s);
  crypto_int64 s1 = 2097151 & (load_4(s + 2) >> 5);
  crypto_int64 s2 = 2097151 & (load_3(s + 5) >> 2);
  crypto_int64 s3 = 2097151 & (load_4(s + 7) >> 7);
  crypto_int64 s4 = 2097151 & (load_4(s + 10) >> 4);
  crypto_int64 s5 = 2097151 & (load_3(s + 13) >> 1);
  crypto_int64 s6 = 2097151 & (load_4(s + 15) >> 6);
  crypto_int64 s7 = 2097151 & (load_3(s + 18) >> 3);
  crypto_int64 s8 = 2097151 & load_3(s + 21);
  crypto_int64 s9 = 2097151 & (load_4(s + 23) >> 5);
  crypto_int64 s10 = 2097151 & (load_3(s + 26) >> 2);
  crypto_int64 s11 = 2097151 & (load_4(s + 28) >> 7);
  crypto_int64 s12 = 2097151 & (load_4(s + 31) >> 4);
  crypto_int64 s13 = 2097151 & (load_3(s + 34) >> 1);
  crypto_int64 s14 = 2097151 & (load_4(s + 36) >> 6);
  crypto_int64 s15 = 2097151 & (load_3(s + 39) >> 3);
  crypto_int64 s16 = 2097151 & load_3(s + 42);
  crypto_int64 s17 = 2097151 & (load_4(s + 44) >> 5);
  crypto_int64 s18 = 2097151 & (load_3(s + 47) >> 2);
  crypto_int64 s19 = 2097151 & (load_4(s + 49) >> 7);
  crypto_int64 s20 = 2097151 & (load_4(s + 52) >> 4);
  crypto_int64 s21 = 2097151 & (load_3(s + 55) >> 1);
  crypto_int64 s22 = 2097151 & (load_4(s + 57) >> 6);
  crypto_int64 s23 = (load_4(s + 60) >> 3);
  crypto_int64 carry0;
  crypto_int64 carry1;
  crypto_int64 carry2;
  crypto_int64 carry3;
  crypto_int64 carry4;
  crypto_int64 carry5;
  crypto_int64 carry6;
  crypto_int64 carry7;
  crypto_int64 carry8;
  crypto_int64 carry9;
  crypto_int64 carry10;
  crypto_int64 carry11;
  crypto_int64 carry12;
  crypto_int64 carry13;
  crypto_int64 carry14;
  crypto_int64 carry15;
  crypto_int64 carry16;

  s11 += s23 * 666643;
  s12 += s23 * 470296;
  s13 += s23 * 654183;
  s14 -= s23 * 997805;
  s15 += s23 * 136657;
  s16 -= s23 * 683901;
  s23 = 0;

  s10 += s22 * 666643;
  s11 += s22 * 470296;
  s12 += s22 * 654183;
  s13 -= s22 * 997805;
  s14 += s22 * 136657;
  s15 -= s22 * 683901;
  s22 = 0;

  s9 += s21 * 666643;
  s10 += s21 * 470296;
  s11 += s21 * 654183;
  s12 -= s21 * 997805;
  s13 += s21 * 136657;
  s14 -= s21 * 683901;
  s21 = 0;

  s8 += s20 * 666643;
  s9 += s20 * 470296;
  s10 += s20 * 654183;
  s11 -= s20 * 997805;
  s12 += s20 * 136657;
  s13 -= s20 * 683901;
  s20 = 0;

  s7 += s19 * 666643;
  s8 += s19 * 470296;
  s9 += s19 * 654183;
  s10 -= s19 * 997805;
  s11 += s19 * 136657;
  s12 -= s19 * 683901;
  s19 = 0;

  s6 += s18 * 666643;
  s7 += s18 * 470296;
  s8 += s18 * 654183;
  s9 -= s18 * 997805;
  s10 += s18 * 136657;
  s11 -= s18 * 683901;
  s18 = 0;

  carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
  carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
  carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
  carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
  carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
  carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;

  carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
  carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
  carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
  carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
  carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;

  s5 += s17 * 666643;
  s6 += s17 * 470296;
  s7 += s17 * 654183;
  s8 -= s17 * 997805;
  s9 += s17 * 136657;
  s10 -= s17 * 683901;
  s17 = 0;

  s4 += s16 * 666643;
  s5 += s16 * 470296;
  s6 += s16 * 654183;
  s7 -= s16 * 997805;
  s8 += s16 * 136657;
  s9 -= s16 * 683901;
  s16 = 0;

  s3 += s15 * 666643;
  s4 += s15 * 470296;
  s5 += s15 * 654183;
  s6 -= s15 * 997805;
  s7 += s15 * 136657;
  s8 -= s15 * 683901;
  s15 = 0;

  s2 += s14 * 666643;
  s3 += s14 * 470296;
  s4 += s14 * 654183;
  s5 -= s14 * 997805;
  s6 += s14 * 136657;
  s7 -= s14 * 683901;
  s14 = 0;

  s1 += s13 * 666643;
  s2 += s13 * 470296;
  s3 += s13 * 654183;
  s4 -= s13 * 997805;
  s5 += s13 * 136657;
  s6 -= s13 * 683901;
  s13 = 0;

  s0 += s12 * 666643;
  s1 += s12 * 470296;
  s2 += s12 * 654183;
  s3 -= s12 * 997805;
  s4 += s12 * 136657;
  s5 -= s12 * 683901;
  s12 = 0;

  carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
  carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
  carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
  carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
  carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
  carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;

  carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
  carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
  carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
  carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
  carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
  carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;

  s0 += s12 * 666643;
  s1 += s12 * 470296;
  s2 += s12 * 654183;
  s3 -= s12 * 997805;
  s4 += s12 * 136657;
  s5 -= s12 * 683901;
  s12 = 0;

  carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
  carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
  carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
  carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
  carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
  carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
  carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
  carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
  carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
  carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
  carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
  carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;

  s0 += s12 * 666643;
  s1 += s12 * 470296;
  s2 += s12 * 654183;
  s3 -= s12 * 997805;
  s4 += s12 * 136657;
  s5 -= s12 * 683901;
  s12 = 0;

  carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
  carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
  carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
  carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
  carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
  carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
  carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
  carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
  carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
  carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
  carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;

  s[0] = s0 >> 0;
  s[1] = s0 >> 8;
  s[2] = (s0 >> 16) | (s1 << 5);
  s[3] = s1 >> 3;
  s[4] = s1 >> 11;
  s[5] = (s1 >> 19) | (s2 << 2);
  s[6] = s2 >> 6;
  s[7] = (s2 >> 14) | (s3 << 7);
  s[8] = s3 >> 1;
  s[9] = s3 >> 9;
  s[10] = (s3 >> 17) | (s4 << 4);
  s[11] = s4 >> 4;
  s[12] = s4 >> 12;
  s[13] = (s4 >> 20) | (s5 << 1);
  s[14] = s5 >> 7;
  s[15] = (s5 >> 15) | (s6 << 6);
  s[16] = s6 >> 2;
  s[17] = s6 >> 10;
  s[18] = (s6 >> 18) | (s7 << 3);
  s[19] = s7 >> 5;
  s[20] = s7 >> 13;
  s[21] = s8 >> 0;
  s[22] = s8 >> 8;
  s[23] = (s8 >> 16) | (s9 << 5);
  s[24] = s9 >> 3;
  s[25] = s9 >> 11;
  s[26] = (s9 >> 19) | (s10 << 2);
  s[27] = s10 >> 6;
  s[28] = (s10 >> 14) | (s11 << 7);
  s[29] = s11 >> 1;
  s[30] = s11 >> 9;
  s[31] = s11 >> 17;
}

/*
Input:
  a[0]+256*a[1]+...+256^31*a[31] = a
  b[0]+256*b[1]+...+256^31*b[31] = b
  c[0]+256*c[1]+...+256^31*c[31] = c

Output:
  s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l
  where l = 2^252 + 27742317777372353535851937790883648493.
*/

static void sc_muladd(unsigned char *s,const unsigned char *a,const unsigned char *b,const unsigned char *c)
{
  crypto_int64 a0 = 2097151 & load_3(a);
  crypto_int64 a1 = 2097151 & (load_4(a + 2) >> 5);
  crypto_int64 a2 = 2097151 & (load_3(a + 5) >> 2);
  crypto_int64 a3 = 2097151 & (load_4(a + 7) >> 7);
  crypto_int64 a4 = 2097151 & (load_4(a + 10) >> 4);
  crypto_int64 a5 = 2097151 & (load_3(a + 13) >> 1);
  crypto_int64 a6 = 2097151 & (load_4(a + 15) >> 6);
  crypto_int64 a7 = 2097151 & (load_3(a + 18) >> 3);
  crypto_int64 a8 = 2097151 & load_3(a + 21);
  crypto_int64 a9 = 2097151 & (load_4(a + 23) >> 5);
  crypto_int64 a10 = 2097151 & (load_3(a + 26) >> 2);
  crypto_int64 a11 = (load_4(a + 28) >> 7);
  crypto_int64 b0 = 2097151 & load_3(b);
  crypto_int64 b1 = 2097151 & (load_4(b + 2) >> 5);
  crypto_int64 b2 = 2097151 & (load_3(b + 5) >> 2);
  crypto_int64 b3 = 2097151 & (load_4(b + 7) >> 7);
  crypto_int64 b4 = 2097151 & (load_4(b + 10) >> 4);
  crypto_int64 b5 = 2097151 & (load_3(b + 13) >> 1);
  crypto_int64 b6 = 2097151 & (load_4(b + 15) >> 6);
  crypto_int64 b7 = 2097151 & (load_3(b + 18) >> 3);
  crypto_int64 b8 = 2097151 & load_3(b + 21);
  crypto_int64 b9 = 2097151 & (load_4(b + 23) >> 5);
  crypto_int64 b10 = 2097151 & (load_3(b + 26) >> 2);
  crypto_int64 b11 = (load_4(b + 28) >> 7);
  crypto_int64 c0 = 2097151 & load_3(c);
  crypto_int64 c1 = 2097151 & (load_4(c + 2) >> 5);
  crypto_int64 c2 = 2097151 & (load_3(c + 5) >> 2);
  crypto_int64 c3 = 2097151 & (load_4(c + 7) >> 7);
  crypto_int64 c4 = 2097151 & (load_4(c + 10) >> 4);
  crypto_int64 c5 = 2097151 & (load_3(c + 13) >> 1);
  crypto_int64 c6 = 2097151 & (load_4(c + 15) >> 6);
  crypto_int64 c7 = 2097151 & (load_3(c + 18) >> 3);
  crypto_int64 c8 = 2097151 & load_3(c + 21);
  crypto_int64 c9 = 2097151 & (load_4(c + 23) >> 5);
  crypto_int64 c10 = 2097151 & (load_3(c + 26) >> 2);
  crypto_int64 c11 = (load_4(c + 28) >> 7);
  crypto_int64 s0;
  crypto_int64 s1;
  crypto_int64 s2;
  crypto_int64 s3;
  crypto_int64 s4;
  crypto_int64 s5;
  crypto_int64 s6;
  crypto_int64 s7;
  crypto_int64 s8;
  crypto_int64 s9;
  crypto_int64 s10;
  crypto_int64 s11;
  crypto_int64 s12;
  crypto_int64 s13;
  crypto_int64 s14;
  crypto_int64 s15;
  crypto_int64 s16;
  crypto_int64 s17;
  crypto_int64 s18;
  crypto_int64 s19;
  crypto_int64 s20;
  crypto_int64 s21;
  crypto_int64 s22;
  crypto_int64 s23;
  crypto_int64 carry0;
  crypto_int64 carry1;
  crypto_int64 carry2;
  crypto_int64 carry3;
  crypto_int64 carry4;
  crypto_int64 carry5;
  crypto_int64 carry6;
  crypto_int64 carry7;
  crypto_int64 carry8;
  crypto_int64 carry9;
  crypto_int64 carry10;
  crypto_int64 carry11;
  crypto_int64 carry12;
  crypto_int64 carry13;
  crypto_int64 carry14;
  crypto_int64 carry15;
  crypto_int64 carry16;
  crypto_int64 carry17;
  crypto_int64 carry18;
  crypto_int64 carry19;
  crypto_int64 carry20;
  crypto_int64 carry21;
  crypto_int64 carry22;

  s0 = c0 + a0*b0;
  s1 = c1 + a0*b1 + a1*b0;
  s2 = c2 + a0*b2 + a1*b1 + a2*b0;
  s3 = c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0;
  s4 = c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0;
  s5 = c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0;
  s6 = c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0;
  s7 = c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0;
  s8 = c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0;
  s9 = c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0;
  s10 = c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0;
  s11 = c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0;
  s12 = a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1;
  s13 = a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2;
  s14 = a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3;
  s15 = a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4;
  s16 = a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5;
  s17 = a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6;
  s18 = a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7;
  s19 = a8*b11 + a9*b10 + a10*b9 + a11*b8;
  s20 = a9*b11 + a10*b10 + a11*b9;
  s21 = a10*b11 + a11*b10;
  s22 = a11*b11;
  s23 = 0;

  carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
  carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
  carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
  carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
  carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
  carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
  carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
  carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
  carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;
  carry18 = (s18 + (1<<20)) >> 21; s19 += carry18; s18 -= carry18 << 21;
  carry20 = (s20 + (1<<20)) >> 21; s21 += carry20; s20 -= carry20 << 21;
  carry22 = (s22 + (1<<20)) >> 21; s23 += carry22; s22 -= carry22 << 21;

  carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
  carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
  carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
  carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
  carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
  carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
  carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
  carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;
  carry17 = (s17 + (1<<20)) >> 21; s18 += carry17; s17 -= carry17 << 21;
  carry19 = (s19 + (1<<20)) >> 21; s20 += carry19; s19 -= carry19 << 21;
  carry21 = (s21 + (1<<20)) >> 21; s22 += carry21; s21 -= carry21 << 21;

  s11 += s23 * 666643;
  s12 += s23 * 470296;
  s13 += s23 * 654183;
  s14 -= s23 * 997805;
  s15 += s23 * 136657;
  s16 -= s23 * 683901;
  s23 = 0;

  s10 += s22 * 666643;
  s11 += s22 * 470296;
  s12 += s22 * 654183;
  s13 -= s22 * 997805;
  s14 += s22 * 136657;
  s15 -= s22 * 683901;
  s22 = 0;

  s9 += s21 * 666643;
  s10 += s21 * 470296;
  s11 += s21 * 654183;
  s12 -= s21 * 997805;
  s13 += s21 * 136657;
  s14 -= s21 * 683901;
  s21 = 0;

  s8 += s20 * 666643;
  s9 += s20 * 470296;
  s10 += s20 * 654183;
  s11 -= s20 * 997805;
  s12 += s20 * 136657;
  s13 -= s20 * 683901;
  s20 = 0;

  s7 += s19 * 666643;
  s8 += s19 * 470296;
  s9 += s19 * 654183;
  s10 -= s19 * 997805;
  s11 += s19 * 136657;
  s12 -= s19 * 683901;
  s19 = 0;

  s6 += s18 * 666643;
  s7 += s18 * 470296;
  s8 += s18 * 654183;
  s9 -= s18 * 997805;
  s10 += s18 * 136657;
  s11 -= s18 * 683901;
  s18 = 0;

  carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
  carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
  carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;
  carry12 = (s12 + (1<<20)) >> 21; s13 += carry12; s12 -= carry12 << 21;
  carry14 = (s14 + (1<<20)) >> 21; s15 += carry14; s14 -= carry14 << 21;
  carry16 = (s16 + (1<<20)) >> 21; s17 += carry16; s16 -= carry16 << 21;

  carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
  carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
  carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;
  carry13 = (s13 + (1<<20)) >> 21; s14 += carry13; s13 -= carry13 << 21;
  carry15 = (s15 + (1<<20)) >> 21; s16 += carry15; s15 -= carry15 << 21;

  s5 += s17 * 666643;
  s6 += s17 * 470296;
  s7 += s17 * 654183;
  s8 -= s17 * 997805;
  s9 += s17 * 136657;
  s10 -= s17 * 683901;
  s17 = 0;

  s4 += s16 * 666643;
  s5 += s16 * 470296;
  s6 += s16 * 654183;
  s7 -= s16 * 997805;
  s8 += s16 * 136657;
  s9 -= s16 * 683901;
  s16 = 0;

  s3 += s15 * 666643;
  s4 += s15 * 470296;
  s5 += s15 * 654183;
  s6 -= s15 * 997805;
  s7 += s15 * 136657;
  s8 -= s15 * 683901;
  s15 = 0;

  s2 += s14 * 666643;
  s3 += s14 * 470296;
  s4 += s14 * 654183;
  s5 -= s14 * 997805;
  s6 += s14 * 136657;
  s7 -= s14 * 683901;
  s14 = 0;

  s1 += s13 * 666643;
  s2 += s13 * 470296;
  s3 += s13 * 654183;
  s4 -= s13 * 997805;
  s5 += s13 * 136657;
  s6 -= s13 * 683901;
  s13 = 0;

  s0 += s12 * 666643;
  s1 += s12 * 470296;
  s2 += s12 * 654183;
  s3 -= s12 * 997805;
  s4 += s12 * 136657;
  s5 -= s12 * 683901;
  s12 = 0;

  carry0 = (s0 + (1<<20)) >> 21; s1 += carry0; s0 -= carry0 << 21;
  carry2 = (s2 + (1<<20)) >> 21; s3 += carry2; s2 -= carry2 << 21;
  carry4 = (s4 + (1<<20)) >> 21; s5 += carry4; s4 -= carry4 << 21;
  carry6 = (s6 + (1<<20)) >> 21; s7 += carry6; s6 -= carry6 << 21;
  carry8 = (s8 + (1<<20)) >> 21; s9 += carry8; s8 -= carry8 << 21;
  carry10 = (s10 + (1<<20)) >> 21; s11 += carry10; s10 -= carry10 << 21;

  carry1 = (s1 + (1<<20)) >> 21; s2 += carry1; s1 -= carry1 << 21;
  carry3 = (s3 + (1<<20)) >> 21; s4 += carry3; s3 -= carry3 << 21;
  carry5 = (s5 + (1<<20)) >> 21; s6 += carry5; s5 -= carry5 << 21;
  carry7 = (s7 + (1<<20)) >> 21; s8 += carry7; s7 -= carry7 << 21;
  carry9 = (s9 + (1<<20)) >> 21; s10 += carry9; s9 -= carry9 << 21;
  carry11 = (s11 + (1<<20)) >> 21; s12 += carry11; s11 -= carry11 << 21;

  s0 += s12 * 666643;
  s1 += s12 * 470296;
  s2 += s12 * 654183;
  s3 -= s12 * 997805;
  s4 += s12 * 136657;
  s5 -= s12 * 683901;
  s12 = 0;

  carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
  carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
  carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
  carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
  carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
  carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
  carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
  carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
  carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
  carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
  carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;
  carry11 = s11 >> 21; s12 += carry11; s11 -= carry11 << 21;

  s0 += s12 * 666643;
  s1 += s12 * 470296;
  s2 += s12 * 654183;
  s3 -= s12 * 997805;
  s4 += s12 * 136657;
  s5 -= s12 * 683901;
  s12 = 0;

  carry0 = s0 >> 21; s1 += carry0; s0 -= carry0 << 21;
  carry1 = s1 >> 21; s2 += carry1; s1 -= carry1 << 21;
  carry2 = s2 >> 21; s3 += carry2; s2 -= carry2 << 21;
  carry3 = s3 >> 21; s4 += carry3; s3 -= carry3 << 21;
  carry4 = s4 >> 21; s5 += carry4; s4 -= carry4 << 21;
  carry5 = s5 >> 21; s6 += carry5; s5 -= carry5 << 21;
  carry6 = s6 >> 21; s7 += carry6; s6 -= carry6 << 21;
  carry7 = s7 >> 21; s8 += carry7; s7 -= carry7 << 21;
  carry8 = s8 >> 21; s9 += carry8; s8 -= carry8 << 21;
  carry9 = s9 >> 21; s10 += carry9; s9 -= carry9 << 21;
  carry10 = s10 >> 21; s11 += carry10; s10 -= carry10 << 21;

  s[0] = s0 >> 0;
  s[1] = s0 >> 8;
  s[2] = (s0 >> 16) | (s1 << 5);
  s[3] = s1 >> 3;
  s[4] = s1 >> 11;
  s[5] = (s1 >> 19) | (s2 << 2);
  s[6] = s2 >> 6;
  s[7] = (s2 >> 14) | (s3 << 7);
  s[8] = s3 >> 1;
  s[9] = s3 >> 9;
  s[10] = (s3 >> 17) | (s4 << 4);
  s[11] = s4 >> 4;
  s[12] = s4 >> 12;
  s[13] = (s4 >> 20) | (s5 << 1);
  s[14] = s5 >> 7;
  s[15] = (s5 >> 15) | (s6 << 6);
  s[16] = s6 >> 2;
  s[17] = s6 >> 10;
  s[18] = (s6 >> 18) | (s7 << 3);
  s[19] = s7 >> 5;
  s[20] = s7 >> 13;
  s[21] = s8 >> 0;
  s[22] = s8 >> 8;
  s[23] = (s8 >> 16) | (s9 << 5);
  s[24] = s9 >> 3;
  s[25] = s9 >> 11;
  s[26] = (s9 >> 19) | (s10 << 2);
  s[27] = s10 >> 6;
  s[28] = (s10 >> 14) | (s11 << 7);
  s[29] = s11 >> 1;
  s[30] = s11 >> 9;
  s[31] = s11 >> 17;
}

/*
int crypto_sign_keypair(unsigned char *pk,unsigned char *sk)
{
  unsigned char h[64];
  ge_p3 A;
  int i;

  randombytes(sk,32);
  crypto_hash_sha512(h,sk,32);
  h[0] &= 248;
  h[31] &= 63;
  h[31] |= 64;

  ge_scalarmult_base(&A,h);
  ge_p3_tobytes(pk,&A);

  for (i = 0;i < 32;++i) sk[32 + i] = pk[i];
  return 0;
}
*/

int crypto_sign_pk_ref10(unsigned char *pk,unsigned char *sk)
{
  unsigned char h[64];
  ge_p3 A;
  int i;

  crypto_hash_sha512(h,sk,32);
  h[0] &= 248;
  h[31] &= 63;
  h[31] |= 64;

  ge_scalarmult_base(&A,h);
  ge_p3_tobytes(pk,&A);

  for (i = 0;i < 32;++i) sk[32 + i] = pk[i];
  return 0;
}

int crypto_sign_ref10(
  unsigned char *sm,unsigned long long *smlen,
  const unsigned char *m,unsigned long long mlen,
  const unsigned char *sk
)
{
  unsigned char az[64];
  unsigned char r[64];
  unsigned char hram[64];
  ge_p3 R;
  unsigned long long i;

  crypto_hash_sha512(az,sk,32);
  az[0] &= 248;
  az[31] &= 63;
  az[31] |= 64;

  *smlen = mlen + 64;
  for (i = 0;i < mlen;++i) sm[64 + i] = m[i];
  for (i = 0;i < 32;++i) sm[32 + i] = az[32 + i];
  crypto_hash_sha512(r,sm + 32,mlen + 32);
  for (i = 0;i < 32;++i) sm[32 + i] = sk[32 + i];

  sc_reduce(r);
  ge_scalarmult_base(&R,r);
  ge_p3_tobytes(sm,&R);

  crypto_hash_sha512(hram,sm,mlen + 64);
  sc_reduce(hram);
  sc_muladd(sm + 32,hram,az,r);

  return 0;
}

int crypto_sign_open_ref10(
  unsigned char *m,unsigned long long *mlen,
  const unsigned char *sm,unsigned long long smlen,
  const unsigned char *pk
)
{
  unsigned char h[64];
  unsigned char checkr[32];
  ge_p3 A;
  ge_p2 R;
  unsigned long long i;

  *mlen = -1;
  if (smlen < 64) return -1;
  if (sm[63] & 224) return -1;
  if (ge_frombytes_negate_vartime(&A,pk) != 0) return -1;

  for (i = 0;i < smlen;++i) m[i] = sm[i];
  for (i = 0;i < 32;++i) m[32 + i] = pk[i];
  crypto_hash_sha512(h,m,smlen);
  sc_reduce(h);

  ge_double_scalarmult_vartime(&R,h,&A,sm + 32);
  ge_tobytes(checkr,&R);
  if (crypto_verify_32(checkr,sm) != 0) {
    for (i = 0;i < smlen;++i) m[i] = 0;
    return -1;
  }

  for (i = 0;i < smlen - 64;++i) m[i] = sm[64 + i];
  for (i = smlen - 64;i < smlen;++i) m[i] = 0;
  *mlen = smlen - 64;
  return 0;
}