/* template

int XXX_flow[] = {
};

int XXX_dist[] = {
};

int XXX_sol[] = {  };

QAP(XXX, SIZE, OPTCOST, XXX_sol);

*/
/* moved to qap.c

#define QAP(p, s, w, d, ...) \
int p ## _flow[] = w; \
int p ## _dist[] = d; \
qap p = { s, p ## _flow, p ## _dist, #p, ## __VA_ARGS__ };

QAP(x3, 1, ({ 2, 3, 4, 5 }), ({ 6, 7 }))
QAP(x2, 10, 100, 1000, 10000, ({ 0xa, 0xb, 0xc, 0xd }))

*/


int esc16a_flow[] = {
  0, 2, 1, 1, 2, 1, 1, 2, 2, 3, 0, 0, 0, 0, 0, 0,
  2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0,
  1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0,
  1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0,
  2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0,
  1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0,
  1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0,
  2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0,
  2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0,
  3, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};

int esc16a_dist[] = {
  0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 3,
  0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 3, 2,
  0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 3, 1, 2,
  1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 3, 2, 2, 1,
  0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2,
  1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 3, 2, 1, 0, 2, 1,
  1, 2, 0, 1, 0, 1, 0, 0, 2, 3, 1, 2, 1, 2, 0, 1,
  2, 1, 1, 0, 1, 0, 0, 0, 3, 2, 2, 1, 2, 1, 1, 0,
  0, 1, 1, 2, 1, 2, 2, 3, 0, 0, 0, 1, 0, 1, 1, 2,
  1, 0, 2, 1, 2, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 1,
  1, 2, 0, 1, 2, 3, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1,
  2, 1, 1, 0, 3, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0,
  1, 2, 2, 3, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1,
  2, 1, 3, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0,
  2, 3, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0,
  3, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0
};

int esc16a_sol[] = { 2, 14, 10, 16, 5, 3, 7, 8, 4, 6, 12, 11, 15, 13, 9, 1 };
		   // 2 14 10 16 5 1 7 4 8 6 3 9 11 12 13 15
		   // 2 14 10 9 8 4 3 1 5 6 7 11 12 13 15 16
		   // 2 14 5 6 12 3 4 1 9 10 7 8 11 13 15 16
		   // 2 3 1 5 12 10 14 6 8 4 7 9 11 13 15 16
		   // 4 1 2 5 11 12 15 7 8 3 6 9 10 13 14 16

QAP(esc16a, 16, 68, esc16a_sol);

/*
  ism:	   4 -  0:08  (2.42) (args: 2 14 10 16)
	        1:37 (64.28) (args: 2 14 10)
	       19:57  (6:04) (args: 2 14)
	     4:56:30 (62.65) (args: 2)
*/


int esc16d_flow[] = {
  0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0,
  1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0,
  0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0,
  0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
  0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0,
  0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0,
  0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};

int esc16d_dist[] = {
  0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 3,
  0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 3, 2,
  0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 3, 1, 2,
  1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 3, 2, 2, 1,
  0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2,
  1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 3, 2, 1, 0, 2, 1,
  1, 2, 0, 1, 0, 1, 0, 0, 2, 3, 1, 2, 1, 2, 0, 1,
  2, 1, 1, 0, 1, 0, 0, 0, 3, 2, 2, 1, 2, 1, 1, 0,
  0, 1, 1, 2, 1, 2, 2, 3, 0, 0, 0, 1, 0, 1, 1, 2,
  1, 0, 2, 1, 2, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 1,
  1, 2, 0, 1, 2, 3, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1,
  2, 1, 1, 0, 3, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0,
  1, 2, 2, 3, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1,
  2, 1, 3, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0,
  2, 3, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0,
  3, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0
};

int esc16d_sol[] = { 14, 2, 12, 5, 6, 16, 8, 10, 3, 9, 13, 7, 11, 15, 4, 1 };
		   // 14 2 1 5 6 4 10 7 12 8 16 11 3 15 9 13
		   // 1 7 2 3 4 5 8 9 16 11 15 14 10 13 6 12

QAP(esc16d, 16, 16, esc16d_sol);

/*
  diaz:    16 - +10:20:00

  ism:	   4 -  0:26  (0.21) (args: 14 2 12 5 6)
	        1:55 (19.21) (args: 14 2 12 5)
	       29:16  (7:43) (args: 14 2 12)
	     5:45:38  (7:39) (args: 14 2)
	 3d 14:23:06  (3:26) (args: 14)
		....  (1:35)

  ingrid:  64x1 (big8) 23:30:28
*/


int esc16e_flow[] = {
  0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0,
  1, 0, 0, 1, 1, 0, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0,
  1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0,
  1, 0, 0, 1, 1, 3, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0,
  1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};

int esc16e_dist[] = {
  0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 3,
  0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 3, 2,
  0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 3, 1, 2,
  1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 3, 2, 2, 1,
  0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2,
  1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 3, 2, 1, 0, 2, 1,
  1, 2, 0, 1, 0, 1, 0, 0, 2, 3, 1, 2, 1, 2, 0, 1,
  2, 1, 1, 0, 1, 0, 0, 0, 3, 2, 2, 1, 2, 1, 1, 0,
  0, 1, 1, 2, 1, 2, 2, 3, 0, 0, 0, 1, 0, 1, 1, 2,
  1, 0, 2, 1, 2, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 1,
  1, 2, 0, 1, 2, 3, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1,
  2, 1, 1, 0, 3, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0,
  1, 2, 2, 3, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1,
  2, 1, 3, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0,
  2, 3, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0,
  3, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0
};

int esc16e_sol[] = { 1, 4, 2, 3, 13, 7, 5, 15, 11, 6, 8, 9, 10, 12, 14, 16 };
		   // 16 7 8 15 9 12 14 10 11 2 6 5 13 4 3 1

QAP(esc16e, 16, 28, esc16e_sol);


int esc16f_flow[] = {
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};

int esc16f_dist[] = {
  0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 3,
  0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 3, 2,
  0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 3, 1, 2,
  1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 3, 2, 2, 1,
  0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2,
  1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 3, 2, 1, 0, 2, 1,
  1, 2, 0, 1, 0, 1, 0, 0, 2, 3, 1, 2, 1, 2, 0, 1,
  2, 1, 1, 0, 1, 0, 0, 0, 3, 2, 2, 1, 2, 1, 1, 0,
  0, 1, 1, 2, 1, 2, 2, 3, 0, 0, 0, 1, 0, 1, 1, 2,
  1, 0, 2, 1, 2, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 1,
  1, 2, 0, 1, 2, 3, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1,
  2, 1, 1, 0, 3, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0,
  1, 2, 2, 3, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1,
  2, 1, 3, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0,
  2, 3, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0,
  3, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0
};

QAP(esc16f, 16, 0, 0 /* qualquer */);


int esc16g_flow[] = {
  0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 1, 1, 0, 1, 2, 1, 3, 0, 0, 0, 0, 0, 0, 0, 0,
  1, 2, 1, 1, 0, 3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0,
  1, 1, 0, 2, 3, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 1, 2, 3, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};

#define esc16g_dist esc16f_dist

int esc16g_sol[] = { 1, 4, 2, 8, 3, 7, 5, 6, 9, 10, 11, 12, 13, 14, 15, 16 };

QAP(esc16g, 16, 26, esc16g_sol);


int esc16h_flow[] = {
  0,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  0,  1,
  1,  0,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  0,  1,
  1,  1,  0,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  0,  1,
  1,  1,  1,  0,  7,  7,  7,  7,  7,  7,  7,  1,  1,  1,  0,  1,
  1,  1,  1,  7,  0, 21, 21, 21, 21, 21, 21,  2,  2,  2,  1,  1,
  1,  1,  1,  7, 21,  0, 21, 21, 21, 21, 21,  2,  2,  2,  1,  1,
  1,  1,  1,  7, 21, 21,  0, 21, 21, 21, 21,  2,  2,  2,  1,  1,
  1,  1,  1,  7, 21, 21, 21,  0, 21, 21, 21,  2,  2,  2,  1,  1,
  1,  1,  1,  7, 21, 21, 21, 21,  0, 21, 21,  2,  2,  2,  1,  1,
  1,  1,  1,  7, 21, 21, 21, 21, 21,  0, 21,  2,  2,  2,  1,  1,
  1,  1,  1,  7, 21, 21, 21, 21, 21, 21,  0,  2,  2,  2,  1,  1,
  1,  1,  1,  1,  2,  2,  2,  2,  2,  2,  2,  0,  6,  6,  4,  1,
  1,  1,  1,  1,  2,  2,  2,  2,  2,  2,  2,  6,  0,  6,  4,  1,
  1,  1,  1,  1,  2,  2,  2,  2,  2,  2,  2,  6,  6,  0,  4,  1,
  0,  0,  0,  0,  1,  1,  1,  1,  1,  1,  1,  4,  4,  4,  0,  0,
  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  1,  0,  0
};

#define esc16h_dist esc16a_dist

int esc16h_sol[] = { 13, 9, 10, 15, 3, 11, 4, 16, 12, 7, 8, 5, 6, 2, 1, 14 };

QAP(esc16h, 16, 996, esc16h_sol);

int esc16i_flow[] = {
  0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 1, 2, 0, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 1, 3, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};

int esc16i_dist[] = {
  0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 3,
  0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 3, 2,
  0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 3, 1, 2,
  1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 3, 2, 2, 1,
  0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2,
  1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 3, 2, 1, 0, 2, 1,
  1, 2, 0, 1, 0, 1, 0, 0, 2, 3, 1, 2, 1, 2, 0, 1,
  2, 1, 1, 0, 1, 0, 0, 0, 3, 2, 2, 1, 2, 1, 1, 0,
  0, 1, 1, 2, 1, 2, 2, 3, 0, 0, 0, 1, 0, 1, 1, 2,
  1, 0, 2, 1, 2, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 1,
  1, 2, 0, 1, 2, 3, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1,
  2, 1, 1, 0, 3, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0,
  1, 2, 2, 3, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1,
  2, 1, 3, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0,
  2, 3, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0,
  3, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0
};

int esc16i_sol[] = { 13, 9, 11, 3, 7, 5, 6, 2, 1, 15, 4, 14, 12, 10, 8, 16 };
		   // 1 2 3 4 8 6 5 7 15 9 10 11 12 13 14 16

QAP(esc16i, 16, 14, esc16i_sol);

/*
  sunfire: 16 - 1:59;  8 - 4:09; 4 - 8:22; 2 - 16:50; 1 - 32:45 (generic)
	       16.47	   7.88	     3.91	1.95

	   16 - 1:14;  8 - 2:30; 4 - 5:03; 2 - 10:09; 1 - 21:32
	       17.42	   8.61	     4.27	2.12

  diaz:    16 - 1:37; 12 - 1:45; 8 - 1:57; 7 - 2:13;  6 - 2:36; 5 - 3:07;
	        9.33	   8.56	     7.71      6.75	  5.79	    4.83
	    4 - 3:53;  3 - 5:08; 2 - 7:30; 1 - 15:00 (generic)
	        3.86	   2.93	     2.00

	   16 - 0:58; 12 - 1:03; 8 - 1:09; 7 - 1:18;  6 - 1:31; 5 - 1:50;
	        9.10	   8.44	     7.74      6.77	  5.81	    4.84
	    4 - 2:17;  3 - 3:01; 2 - 4:24; 1 - 8:51
	        3.87	   2.94	     2.01

  ism:      4 - 0:40 (0.15); 3 - 0:54 (0.18); 2 - 1:20 (0.21) 1 - 2:41 (0.21)
		3.98		 2.99		  2.00

	2 * 4 - 0:21 (0.09)
		7.54

  ccciti01: 4 - 0:52 (0.14); 3 - 1:10 (0.12); 2 - 1:45 (0.16); 1 - 3:29 (0.16) (first-fail)
		4.01		 3.00		  2.00

	    4 - 0:09 (0.04); 3 - 0:13 (0.03); 2 - 0:19 (0.04); 1 - 0:38 (0.04) (B, first-fail)
		4.07		 3.00		  1.97

  bicho:   5:12 (0.44) (-O3)
	   5:13 (0.28) (-O3, label)
	   0:44 (0.09) (B, -O3)

  qap.pl   3:34 (0.65)

  710277120 solutions (ism * 6, 11:46:42.261)
*/


int esc16j_flow[] = {
  0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0,
  0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0,
  0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0,
  1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0,
  1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
};

int esc16j_dist[] = {
  0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 3,
  0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 3, 2,
  0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 3, 1, 2,
  1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 3, 2, 2, 1,
  0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 3, 0, 1, 1, 2,
  1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 3, 2, 1, 0, 2, 1,
  1, 2, 0, 1, 0, 1, 0, 0, 2, 3, 1, 2, 1, 2, 0, 1,
  2, 1, 1, 0, 1, 0, 0, 0, 3, 2, 2, 1, 2, 1, 1, 0,
  0, 1, 1, 2, 1, 2, 2, 3, 0, 0, 0, 1, 0, 1, 1, 2,
  1, 0, 2, 1, 2, 1, 3, 2, 0, 0, 1, 0, 1, 0, 2, 1,
  1, 2, 0, 1, 2, 3, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1,
  2, 1, 1, 0, 3, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0,
  1, 2, 2, 3, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1,
  2, 1, 3, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0,
  2, 3, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0,
  3, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0
};

#define esc16j_opt 8
int esc16j_sol[] = { 8, 3, 16, 14, 2, 12, 10, 6, 9, 5, 13, 11, 4, 7, 15, 1 };
		   // 4 5 1 2 7 11 15 8 6 9 10 13 3 12 14 16
		   // 1 2 4 6 7 11 15 5 8 10 12 13 3 9 14 16

QAP(esc16j, 16, 8, esc16j_sol);

/*
  ism: 5 x 4 - 2:33:37.49
*/


int esc32a_flow[] = {
  0,1,1,0,0,1,0,0,0,0,1,0,4,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
  1,0,1,0,2,0,0,0,1,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  1,1,0,4,0,0,0,0,3,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,4,0,1,1,0,0,3,0,0,0,0,0,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,2,0,1,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,0,2,0,3,2,1,0,3,0,0,0,0,0,
  0,1,3,3,1,0,0,0,0,0,0,0,0,1,3,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,
  1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,3,0,0,0,0,0,0,
  4,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
  0,4,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,3,3,0,0,0,0,3,0,0,0,1,1,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,3,0,0,0,2,0,0,0,0,0,0,0,0,2,0,3,2,0,2,2,0,0,0,0,0,
  0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,
  0,0,3,3,0,0,0,0,3,0,0,0,0,0,4,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,1,0,0,0,4,3,0,0,3,0,0,0,0,0,
  1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,
  0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,3,0,0,0,0,4,0,0,2,0,0,2,0,0,0,0,0,
  0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,0,1,1,0,3,0,2,0,0,0,3,0,0,0,0,0,
  0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,2,1,1,1,0,3,1,2,3,2,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
};

int esc32a_dist[] = {
  0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0
};

int esc32a_sol[] = {
  11, 3, 7, 23, 19, 27, 1, 14, 20, 17, 28, 9, 12, 4, 8, 2,
  26, 24, 32, 5, 22, 25, 6, 18, 29, 10, 30, 13, 15, 16, 21, 31
};

QAP(esc32a, 32, 130, esc32a_sol);


int esc32e_flow[] = {
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,5,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
};

int esc32e_dist[] = {
  0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0
};

#define esc32e_opt 2
int esc32e_sol[] = {
  1, 2, 5, 6, 8, 16, 13, 19, 9, 32, 7, 22, 24, 20, 4, 12, 3,
  17, 29, 21, 11, 25, 27, 18, 30, 31, 23, 28, 14, 15, 26, 10
};

QAP(esc32e, 32, 2, esc32e_sol);

/*
  ism:      4 -     3:30  (?) (A, first-fail, args: 1 2 3 4)
	    4 -  1:11:24  (?) (A, first-fail, args: 1 2 3)
	1 x 4 -    +1h41 (3.00)

  diaz:     4 -   0.36  (0.34) (B, first-fail, args: 1 2 3 4 5 6 7 8)
	    4 -   0.25  (0.02) (B, first-fail, args: 1 2 3 4 5 6 7)
	    4 - +10h12  (0.02) (B, first-fail, args: 1 2 3 4 5 6)
*/


int esc64a_flow[] = {
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,1,0,1,0,1,1,0,0,0,2,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
};

int esc64a_dist[] = {
  0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,
};

QAP(esc64a, 64, -98);


int esc128_flow[] = {
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
  0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
};

int esc128_dist[] = {
  0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,0,0,1,0,1,1,2,0,1,1,2,1,2,2,3,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,0,0,1,0,1,0,2,1,1,0,2,1,2,1,3,2,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,0,1,0,0,1,2,0,1,1,2,0,1,2,3,1,2,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,1,0,0,0,2,1,1,0,2,1,1,0,3,2,2,1,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,0,1,1,2,0,0,0,1,1,2,2,3,0,1,1,2,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,1,0,2,1,0,0,1,0,2,1,3,2,1,0,2,1,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,1,2,0,1,0,1,0,0,2,3,1,2,1,2,0,1,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,2,1,1,0,1,0,0,0,3,2,2,1,2,1,1,0,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,0,1,1,2,1,2,2,3,0,0,0,1,0,1,1,2,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,1,0,2,1,2,1,3,2,0,0,1,0,1,0,2,1,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,1,2,0,1,2,3,1,2,0,1,0,0,1,2,0,1,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,2,1,1,0,3,2,2,1,1,0,0,0,2,1,1,0,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,1,2,2,3,0,1,1,2,0,1,1,2,0,0,0,1,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,2,1,3,2,1,0,2,1,1,0,2,1,0,0,1,0,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,2,3,1,2,1,2,0,1,1,2,0,1,0,1,0,0,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,3,2,2,1,2,1,1,0,2,1,1,0,1,0,0,0
};

int esc128_sol[] = { 
  9, 92, 87, 19, 110, 114, 76, 8, 117, 77, 44, 16, 28, 97, 81, 99, 66,
  18, 36, 10, 79, 108, 82, 57, 58, 78, 11, 109, 12, 14, 41, 125, 45,
  113, 33, 37, 69, 22, 39, 104, 73, 103, 101, 93, 120, 74, 96, 88, 23,
  30, 86, 52, 94, 106, 90, 102, 72, 89, 60, 98, 59, 83, 100, 115, 105,
  62, 123, 124, 56, 65, 64, 24, 54, 122, 46, 7, 40, 49, 48, 38, 127, 61,
  25, 26, 91, 21, 128, 80, 119, 51, 32, 6, 70, 126, 2, 4, 27, 68, 50,
  107, 53, 13, 67, 63, 121, 1, 47, 15, 29, 95, 111, 35, 112, 42, 17, 3,
  71, 118, 116, 43, 34, 55, 31, 84, 75, 20, 5, 85
};

/*
  * ??? (from QAPlib, cost is 314, 64 in the dual problem)
  80, 75, 66, 79, 71, 73, 77, 69, 20, 6, 49, 25, 115, 81, 122, 119, 85,
  91, 32, 28, 48, 87, 9, 5, 123, 126, 16, 26, 47, 94, 120, 92, 43, 2, 11,
  72, 12, 27, 128, 46, 62, 57, 21, 86, 30, 58, 98, 10, 125, 78, 116, 45,
  84, 70, 41, 54, 106, 99, 38, 18, 52, 34, 7, 105, 36, 110, 35, 63, 31,
  90, 33, 111, 55, 60, 96, 23, 83, 117, 8, 82, 67, 29, 114, 97, 51, 108,
  76, 113, 101, 124, 14, 65, 53, 88, 107, 59, 40, 44, 127, 37, 42, 24,
  112, 104, 64, 74, 15, 17, 95, 19, 50, 13, 4, 102, 103, 39, 56, 68, 109,
  118, 100, 121, 1, 93, 3, 61, 89, 22

  * corresponding solution for the original problem (cost 64)
  123, 34, 125, 113, 24, 10, 63, 79, 23, 48, 35, 37, 112, 91, 107, 27,
  108, 60, 110, 9, 43, 128, 76, 102, 12, 28, 38, 20, 82, 45, 69, 19, 71,
  62, 67, 65, 100, 59, 116, 97, 55, 101, 33, 98, 52, 40, 29, 21, 11,
  111, 85, 61, 93, 56, 73, 117, 42, 46, 96, 74, 126, 41, 68, 105, 92, 3,
  81, 118, 8, 54, 5, 36, 6, 106, 2, 87, 7, 50, 4, 1, 14, 80, 77, 53, 17,
  44, 22, 94, 127, 70, 18, 32, 124, 30, 109, 75, 84, 47, 58, 121, 89,
  114, 115, 104, 64, 57, 95, 86, 119, 66, 72, 103, 88, 83, 13, 51, 78,
  120, 16, 31, 122, 15, 25, 90, 49, 26, 99, 39
*/

QAP(esc128, 128, 64, esc128_sol);


/*
  from:

  Darwin Choi, Quadratic Assignment Problems (QAP) and Its Size
  Reduction Method. Undergraduate Math Journal, 4(1), Rose-Hulman
  Institute of Technology, 2003.

  <http://www.rose-hulman.edu/mathjournal/archives/2003/vol4-n1/paper7/v4n1-7pd.pdf>

*/

int choi16_flow[] = {
  5, 8, 3, 2, 5, 8, 3, 2, 5, 8, 3, 2, 5, 8, 3, 2,
  8, 7, 4, 6, 8, 7, 4, 6, 8, 7, 4, 6, 8, 7, 4, 6,
  3, 4, 6, 1, 3, 4, 6, 1, 3, 4, 6, 1, 3, 4, 6, 1,
  2, 6, 1, 9, 2, 6, 1, 9, 2, 6, 1, 9, 2, 6, 1, 9,
  5, 8, 3, 2, 5, 8, 3, 2, 5, 8, 3, 2, 5, 8, 3, 2,
  8, 7, 4, 6, 8, 7, 4, 6, 8, 7, 4, 6, 8, 7, 4, 6,
  3, 4, 6, 1, 3, 4, 6, 1, 3, 4, 6, 1, 3, 4, 6, 1,
  2, 6, 1, 9, 2, 6, 1, 9, 2, 6, 1, 9, 2, 6, 1, 9,
  5, 8, 3, 2, 5, 8, 3, 2, 5, 8, 3, 2, 5, 8, 3, 2,
  8, 7, 4, 6, 8, 7, 4, 6, 8, 7, 4, 6, 8, 7, 4, 6,
  3, 4, 6, 1, 3, 4, 6, 1, 3, 4, 6, 1, 3, 4, 6, 1,
  2, 6, 1, 9, 2, 6, 1, 9, 2, 6, 1, 9, 2, 6, 1, 9,
  5, 8, 3, 2, 5, 8, 3, 2, 5, 8, 3, 2, 5, 8, 3, 2,
  8, 7, 4, 6, 8, 7, 4, 6, 8, 7, 4, 6, 8, 7, 4, 6,
  3, 4, 6, 1, 3, 4, 6, 1, 3, 4, 6, 1, 3, 4, 6, 1,
  2, 6, 1, 9, 2, 6, 1, 9, 2, 6, 1, 9, 2, 6, 1, 9
};

int choi16_dist[] = {
  0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1,
  1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2,
  2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3,
  3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4,
  4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5,
  5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6,
  6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 7,
  7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8,
  8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7,
  7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6,
  6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5,
  5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4,
  4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3,
  3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2,
  2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1,
  1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 0
};

QAP(choi16, 16);


// obtained from choi16 by assigning resource 1 to location 1 and
// reducing the problem

int choi15_flow[] = {
  16,  4,  6,  8,  7,  4,  6,  8,  7,  4,  6,  8,  7,  4,  6,
   4,  6,  1,  3,  4,  6,  1,  3,  4,  6,  1,  3,  4,  6,  1,
   6,  1,  4,  2,  6,  1,  9,  2,  6,  1,  9,  2,  6,  1,  9,
   8,  3,  2, 10,  8,  3,  2,  5,  8,  3,  2,  5,  8,  3,  2,
   7,  4,  6,  8, 16,  4,  6,  8,  7,  4,  6,  8,  7,  4,  6,
   4,  6,  1,  3,  4,  6,  1,  3,  4,  6,  1,  3,  4,  6,  1,
   6,  1,  9,  2,  6,  1,  4,  2,  6,  1,  9,  2,  6,  1,  9,
   8,  3,  2,  5,  8,  3,  2, 10,  8,  3,  2,  5,  8,  3,  2,
   7,  4,  6,  8,  7,  4,  6,  8, 16,  4,  6,  8,  7,  4,  6,
   4,  6,  1,  3,  4,  6,  1,  3,  4,  6,  1,  3,  4,  6,  1,
   6,  1,  9,  2,  6,  1,  9,  2,  6,  1,  4,  2,  6,  1,  9,
   8,  3,  2,  5,  8,  3,  2,  5,  8,  3,  2, 10,  8,  3,  2,
   7,  4,  6,  8,  7,  4,  6,  8,  7,  4,  6,  8, 16,  4,  6,
   4,  6,  1,  3,  4,  6,  1,  3,  4,  6,  1,  3,  4,  6,  1,
   6,  1,  9,  2,  6,  1,  9,  2,  6,  1,  9,  2,  6,  1,  4
};

int choi15_dist[] = {
  1, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2,
  1, 2, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3,
  2, 1, 3, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4,
  3, 2, 1, 4, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6, 5,
  4, 3, 2, 1, 5, 1, 2, 3, 4, 5, 6, 7, 8, 7, 6,
  5, 4, 3, 2, 1, 6, 1, 2, 3, 4, 5, 6, 7, 8, 7,
  6, 5, 4, 3, 2, 1, 7, 1, 2, 3, 4, 5, 6, 7, 8,
  7, 6, 5, 4, 3, 2, 1, 8, 1, 2, 3, 4, 5, 6, 7,
  8, 7, 6, 5, 4, 3, 2, 1, 7, 1, 2, 3, 4, 5, 6,
  7, 8, 7, 6, 5, 4, 3, 2, 1, 6, 1, 2, 3, 4, 5,
  6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 5, 1, 2, 3, 4,
  5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 4, 1, 2, 3,
  4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 3, 1, 2,
  3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 2, 1,
  2, 3, 4, 5, 6, 7, 8, 7, 6, 5, 4, 3, 2, 1, 1
};

QAP(choi15, 15);