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atomictom/parallel_primes.c

Created March 25, 2014 05:14
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parallel_primes.c
/* Thomas Manning
* Mon Feb 3 01:23:23 EST 2014
*
* About:
* This is a project to try to make as fast a prime generator
* as possible using parallel programming, the sieve of eratosthenes
* and many other optimizations.
*
* It's kind of big because of the use of a very large static array
* for wheel optimization (wheel size of 7). Using a good editor
* and folding is recommended (or just remove the large wheel
* and stick with a smaller one). Vim + manual folding is what I'm
* using.
*/
// Defining this allows us to use the pthread_barrier* functions
// and objects
#define _XOPEN_SOURCE 600
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include <pthread.h>
#include <unistd.h>
#include <sys/types.h>
#define KB (1 << 10)
#define L1_CACHE_SIZE (32 * KB)
/* --------------- Options --------------- */
// PERFORMANCE
#define NUM_THREADS 8
#define PRIME_LIMIT (100000000)
#define WHEEL_COUNT 7
#define USE_BITSET
#define PARALLEL_PRIME_COUNT
#define USE_WHEEL_CACHE
#define SEGMENT_SIZE L1_CACHE_SIZE
// PRINTING
#define PRINT_ALL
/* #define PRINT_TIME */
/* #define PRINT_COUNT */
/* #define PRINT_SUM */
/* #define PRINT_LAST_10 */
/* --------------- Types --------------- */
#if PRIME_LIMIT > 1000000000
typedef int64_t primes_t;
#else
typedef int primes_t;
#endif
/* --------------- Prototypes --------------- */
void bitset(unsigned char * array, int index);
int bittest(unsigned char * array, int64_t index);
void * compute_primes(void * arg);
void * record_primes(void * args);
void * count_and_sum_primes(void * args);
void * find_and_record_primes(void * args);
void * init_wheel_cache(void * args);
int main(void);
inline int multiple_from_wheel(int * index);
inline int next_from_wheel(int * index);
/* --------------- Structs --------------- */
struct prime_stats_t{
int thread_id;
int64_t sum;
int64_t segment_size;
primes_t count;
primes_t * primes_arr;
pthread_barrier_t * barrier;
};
/* --------------- Wheel Arrays --------------- */
#if WHEEL_COUNT == 0 || WHEEL_COUNT > 7 || ! defined WHEEL_COUNT // no wheel
#define WHEEL_COUNT 0
#define WHEEL_LEN 1
#define START_PRIME 2
#define WHEEL_SUM (0)
#define WHEEL_PRODUCT (1)
int wheel[] = {1};
#elif WHEEL_COUNT == 1 // A 2 wheel
#define WHEEL_LEN 1
#define START_PRIME 3
#define WHEEL_SUM (2)
#define WHEEL_PRODUCT (1 * 2)
int wheel[] = {2};
#elif WHEEL_COUNT == 2 // A 23 wheel
#define WHEEL_LEN 2
#define START_PRIME 5
#define WHEEL_SUM (2 + 3)
#define WHEEL_PRODUCT (2 * 3)
int wheel[] = {2, 4};
#elif WHEEL_COUNT == 3 // A 235 wheel
#define WHEEL_LEN 8
#define START_PRIME 7
#define WHEEL_SUM (2 + 3 + 5)
#define WHEEL_PRODUCT (2 * 3 * 5)
int wheel[] = {4, 2, 4, 2, 4, 6, 2, 6};
#elif WHEEL_COUNT == 4 // A 2357 wheel
#define WHEEL_LEN 48
#define START_PRIME 11
#define WHEEL_SUM (2 + 3 + 5 + 7)
#define WHEEL_PRODUCT (2 * 3 * 5 * 7)
int wheel[] = {
2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2,
6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6,
2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10
};
#elif WHEEL_COUNT == 5 // A 235711 wheel
#define WHEEL_LEN 480
#define START_PRIME 13
#define WHEEL_SUM (2 + 3 + 5 + 7 + 11)
#define WHEEL_PRODUCT (2 * 3 * 5 * 7 * 11)
int wheel[] = {
4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6,
4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6,
4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6,
2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2,
4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2,
6, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4,
12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4,
6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2,
10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6, 4,
2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6,
8, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4,
2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 8, 4, 6, 8,
4, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2,
4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2,
6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2,
4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4,
6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6,
6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4,
8, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10,
2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 2,
6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2,
6, 6, 4, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2,
4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8,
4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4,
8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4,
2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8,
6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 2,
4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2,
10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4,
6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 12
};
#elif WHEEL_COUNT == 6 // A 23571113 wheel
#define WHEEL_LEN 5760
#define START_PRIME 17
#define WHEEL_SUM (2 + 3 + 5 + 7 + 11 + 13)
#define WHEEL_PRODUCT (2 * 3 * 5 * 7 * 11 * 13)
int wheel[] = {
2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4,
6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6,
6, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 6, 8, 6, 10,
2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 8, 10, 2, 10,
2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 8, 4, 2, 6, 4, 6,
12, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 10, 2, 4, 6,
2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4,
6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4,
8, 4, 6, 8, 10, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10,
2, 4, 2, 4, 14, 4, 2, 4, 6, 6, 2, 6, 4, 8, 10, 8,
4, 2, 4, 6, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4,
6, 2, 10, 2, 4, 2, 10, 2, 10, 2, 6, 4, 8, 6, 4, 2,
4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 6, 4, 8, 10, 6,
2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 12,
2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 6, 6, 10, 6,
8, 4, 2, 4, 2, 4, 8, 6, 12, 4, 6, 2, 12, 4, 2, 4,
6, 8, 4, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 10, 2,
4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 8, 6, 4, 2, 10,
2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2,
6, 4, 6, 8, 6, 4, 2, 12, 10, 6, 2, 4, 6, 2, 12, 4,
2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 2,
6, 4, 2, 10, 6, 2, 6, 4, 12, 6, 8, 6, 4, 2, 4, 8,
6, 4, 6, 2, 4, 6, 8, 6, 6, 4, 6, 2, 6, 4, 2, 4,
2, 10, 12, 2, 4, 12, 2, 6, 4, 2, 4, 6, 6, 2, 12, 6,
4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 4,
2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 12, 6, 4, 6, 2, 6,
4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2,
4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4,
14, 10, 2, 4, 2, 4, 6, 2, 6, 10, 6, 6, 2, 10, 2, 6,
4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6,
8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2,
4, 8, 6, 4, 6, 2, 10, 2, 6, 10, 6, 6, 2, 6, 4, 2,
4, 2, 10, 2, 12, 4, 6, 6, 2, 12, 4, 6, 6, 2, 6, 4,
2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8,
6, 6, 10, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 8,
6, 4, 2, 4, 6, 6, 8, 4, 8, 4, 6, 8, 4, 2, 4, 2,
12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 6,
4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 14,
4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10, 8, 4, 8, 6,
10, 2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4,
6, 8, 4, 2, 4, 6, 6, 2, 6, 6, 6, 10, 8, 4, 2, 4,
6, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 6, 12, 2,
4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 10, 2, 4, 6, 8, 6,
4, 2, 6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6,
2, 6, 6, 4, 6, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4, 2,
4, 6, 2, 6, 4, 2, 16, 2, 6, 4, 2, 10, 6, 8, 4, 2,
4, 2, 12, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4,
2, 4, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6,
2, 6, 4, 2, 10, 6, 8, 10, 2, 4, 8, 6, 4, 6, 2, 4,
6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 10, 12, 2, 4,
2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 6,
4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 8,
6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 10,
6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6,
2, 10, 8, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2,
4, 6, 6, 2, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 12,
2, 4, 6, 8, 6, 10, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2,
6, 4, 2, 6, 10, 2, 10, 2, 6, 4, 6, 8, 4, 6, 12, 2,
6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 14, 4, 6, 2, 4,
6, 2, 6, 10, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 4,
6, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 6, 8, 4,
2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2,
6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 4, 6,
6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4,
6, 12, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 4, 2, 10, 2,
12, 6, 4, 6, 2, 10, 2, 4, 6, 6, 8, 4, 2, 6, 18, 4,
2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2,
6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2,
4, 6, 6, 8, 6, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4,
12, 6, 2, 6, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10,
2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4,
6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 6,
6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4,
2, 10, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 14, 6, 4,
6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 10, 2, 4, 2, 10, 2,
10, 6, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10,
6, 8, 6, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6,
4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6,
4, 2, 4, 12, 2, 10, 2, 10, 14, 4, 2, 4, 2, 4, 8, 6,
10, 2, 4, 6, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 14,
12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2,
6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6,
4, 2, 4, 6, 12, 2, 4, 2, 12, 10, 2, 4, 2, 10, 2, 6,
4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 4, 6, 8,
16, 2, 4, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 6, 10,
2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 16, 2, 6, 4, 8, 4,
6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 10, 2,
4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2,
6, 6, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 6, 4, 8,
6, 4, 6, 2, 4, 14, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2,
10, 2, 10, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 8,
4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 6, 6, 2, 6, 6,
4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 6, 4, 6, 2,
6, 6, 4, 6, 6, 12, 2, 6, 10, 8, 4, 2, 4, 2, 4, 8,
10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 8, 10,
2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6,
6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 10, 2, 6,
6, 4, 6, 6, 8, 4, 2, 4, 2, 10, 2, 12, 4, 2, 4, 6,
2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 14, 4, 6, 2, 4,
8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 10, 6, 2, 6, 10, 2,
10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 8, 4,
2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2,
12, 4, 2, 4, 8, 6, 6, 4, 2, 10, 2, 10, 6, 2, 4, 6,
2, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 6, 8, 6, 4, 2,
4, 8, 6, 4, 8, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 2,
4, 2, 10, 12, 2, 4, 2, 10, 8, 4, 2, 4, 6, 6, 2, 10,
2, 6, 18, 4, 2, 4, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6,
6, 4, 2, 4, 6, 2, 10, 2, 4, 12, 2, 12, 4, 2, 4, 8,
6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2,
6, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10,
2, 4, 2, 22, 2, 4, 2, 4, 6, 2, 6, 4, 6, 12, 2, 6,
4, 2, 10, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2,
12, 4, 2, 4, 6, 2, 6, 4, 2, 6, 12, 10, 2, 4, 2, 4,
6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 12, 6, 2,
4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4,
2, 4, 2, 10, 2, 10, 2, 4, 12, 2, 6, 6, 4, 6, 6, 2,
6, 4, 2, 6, 4, 6, 8, 6, 6, 4, 8, 10, 6, 2, 4, 6,
8, 6, 4, 2, 12, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2,
4, 8, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2,
4, 2, 4, 8, 6, 4, 6, 6, 6, 8, 6, 4, 2, 4, 6, 2,
6, 4, 2, 4, 2, 10, 2, 10, 2, 10, 6, 2, 6, 4, 2, 4,
6, 6, 8, 6, 6, 10, 12, 2, 4, 2, 4, 8, 10, 6, 2, 4,
8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2,
6, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 8,
4, 2, 4, 2, 4, 14, 4, 8, 4, 6, 2, 6, 6, 4, 2, 10,
8, 4, 2, 4, 12, 2, 10, 2, 4, 2, 4, 6, 2, 12, 4, 6,
8, 10, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6, 6, 10, 2, 10, 6,
2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6,
8, 4, 2, 4, 2, 12, 6, 4, 6, 2, 10, 2, 12, 4, 6, 8,
6, 4, 2, 4, 2, 10, 2, 16, 2, 4, 6, 2, 10, 2, 4, 6,
6, 2, 6, 4, 2, 10, 14, 6, 4, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2,
4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 12, 2, 6, 4, 14, 4,
2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6,
2, 6, 6, 4, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4,
6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4,
8, 10, 2, 6, 10, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2,
4, 2, 4, 6, 8, 4, 6, 6, 6, 2, 6, 4, 2, 6, 10, 8,
4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4,
6, 2, 10, 2, 6, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 4,
12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 6, 4, 8, 6, 4, 6,
2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10,
12, 2, 4, 6, 6, 2, 6, 6, 4, 12, 2, 6, 4, 2, 10, 6,
8, 4, 2, 6, 4, 8, 6, 10, 2, 4, 6, 14, 4, 2, 10, 2,
6, 4, 2, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4,
6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4,
6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10,
2, 10, 2, 6, 10, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6,
10, 8, 6, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2,
4, 8, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6,
4, 2, 10, 6, 2, 6, 12, 4, 6, 8, 4, 2, 4, 2, 4, 8,
6, 4, 8, 4, 6, 8, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2,
10, 2, 10, 2, 4, 6, 6, 2, 10, 2, 4, 6, 8, 6, 6, 6,
4, 6, 12, 6, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 4,
6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6,
4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 18,
4, 6, 2, 4, 6, 2, 12, 4, 2, 12, 6, 4, 2, 4, 12, 2,
10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 10, 6,
8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6,
4, 6, 2, 6, 4, 2, 6, 10, 12, 6, 2, 10, 2, 6, 4, 2,
4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6,
4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 4, 12,
2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2,
6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6,
6, 4, 6, 2, 10, 6, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6,
4, 6, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 14, 6,
10, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 6, 6, 10, 2,
10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 14, 6, 4, 2, 6, 4,
6, 12, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 2,
4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 8,
6, 4, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 10, 8, 6,
4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 10,
2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4,
8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6,
6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 6, 4,
6, 2, 6, 4, 2, 4, 12, 8, 4, 2, 16, 8, 4, 2, 4, 2,
4, 8, 16, 2, 4, 8, 12, 4, 2, 4, 6, 2, 6, 4, 6, 2,
12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6,
6, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2,
6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4,
2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 10,
2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 8, 6, 6,
4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6,
2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2,
4, 6, 14, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6,
6, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 10, 6, 14, 4,
2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 6,
4, 2, 4, 2, 10, 12, 2, 6, 10, 2, 6, 4, 6, 6, 6, 2,
10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 4, 6,
2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 12, 4, 2,
4, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 6, 8, 4,
2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 6,
2, 10, 2, 6, 12, 10, 6, 2, 4, 6, 2, 6, 4, 6, 6, 6,
2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2,
10, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 10, 2, 12, 4,
2, 4, 6, 12, 2, 4, 12, 2, 6, 4, 2, 6, 4, 18, 2, 4,
2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 12, 4, 6, 2, 6,
4, 6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 6,
8, 4, 2, 6, 4, 6, 8, 4, 2, 6, 12, 6, 4, 6, 6, 6,
8, 6, 4, 2, 10, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2,
4, 8, 6, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 4, 2,
4, 2, 4, 8, 6, 4, 12, 6, 2, 6, 10, 2, 4, 6, 2, 6,
4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 6,
6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8, 10, 6, 2, 4,
8, 6, 6, 4, 2, 4, 6, 2, 10, 6, 2, 10, 2, 10, 2, 4,
2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8,
4, 2, 6, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4,
6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 6, 2, 10, 2,
4, 14, 6, 4, 2, 10, 6, 8, 4, 6, 2, 4, 8, 6, 10, 2,
4, 6, 2, 12, 4, 6, 6, 2, 6, 6, 4, 2, 12, 10, 2, 4,
2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6,
8, 4, 6, 2, 12, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4,
14, 4, 2, 4, 2, 10, 2, 10, 6, 2, 10, 2, 6, 4, 2, 4,
6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 10, 6,
2, 4, 6, 2, 6, 6, 6, 4, 8, 6, 4, 2, 4, 2, 10, 12,
2, 4, 2, 10, 2, 6, 4, 2, 10, 6, 2, 10, 8, 4, 14, 4,
2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 4,
6, 2, 6, 4, 2, 4, 12, 2, 12, 4, 6, 6, 2, 6, 4, 2,
4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 14, 4,
6, 2, 12, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10,
2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 4, 6, 14, 10, 2, 4, 6, 2, 6, 6, 4, 2,
10, 2, 6, 4, 2, 16, 2, 10, 2, 4, 2, 4, 6, 8, 6, 4,
12, 2, 10, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6,
2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2,
10, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 10, 8, 6, 4, 12,
2, 6, 4, 2, 4, 2, 10, 2, 12, 4, 2, 4, 8, 10, 2, 4,
6, 6, 2, 6, 4, 8, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4,
6, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10, 2,
10, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6,
10, 8, 4, 2, 4, 2, 12, 10, 6, 6, 8, 6, 6, 4, 2, 4,
6, 2, 6, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4,
2, 4, 6, 8, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8,
6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2, 4, 2,
10, 2, 10, 2, 4, 2, 4, 6, 12, 2, 4, 6, 8, 6, 4, 2,
6, 10, 8, 4, 6, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6,
4, 6, 6, 2, 12, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6,
4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 12,
6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4,
2, 10, 12, 6, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 6, 4,
2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 12,
6, 4, 6, 2, 6, 4, 2, 4, 2, 22, 2, 4, 2, 10, 2, 6,
4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 6, 2, 4, 8,
6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2,
4, 12, 2, 12, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 6,
4, 2, 6, 4, 6, 8, 6, 4, 2, 4, 18, 6, 2, 10, 2, 6,
6, 4, 2, 4, 8, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6,
2, 6, 4, 12, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 6,
8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2,
6, 10, 2, 10, 2, 4, 6, 6, 8, 4, 2, 4, 12, 2, 6, 6,
6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6,
10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 10, 6,
2, 6, 10, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6,
4, 14, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2,
4, 12, 2, 10, 2, 4, 2, 4, 8, 6, 6, 4, 6, 6, 2, 10,
8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2,
6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 8, 4,
6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2,
4, 2, 4, 8, 10, 6, 2, 12, 6, 6, 4, 6, 6, 2, 6, 4,
6, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2,
6, 6, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6,
2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 10, 2, 10, 2, 4, 2,
4, 6, 2, 10, 2, 4, 6, 14, 4, 2, 6, 4, 6, 8, 4, 6,
2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6,
4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 8,
6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 8, 4,
6, 2, 16, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 2,
4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 16, 8, 6, 4,
6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 10,
2, 4, 2, 10, 12, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2,
10, 2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6,
2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 14, 4, 2,
4, 6, 2, 6, 4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 8, 4,
2, 4, 2, 4, 14, 10, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10,
2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6, 6,
2, 6, 4, 2, 6, 4, 6, 8, 4, 6, 6, 8, 6, 10, 2, 4,
6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 2,
4, 2, 10, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 14,
4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 10, 2, 4, 8, 6,
4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 10, 6,
2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2,
4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10,
2, 4, 6, 8, 6, 4, 2, 4, 6, 6, 2, 6, 12, 4, 6, 12,
2, 4, 2, 4, 8, 6, 4, 6, 6, 8, 6, 6, 4, 2, 4, 6,
2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4,
6, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 18, 6,
2, 4, 8, 6, 6, 4, 2, 10, 2, 6, 4, 6, 12, 2, 10, 2,
4, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 12, 6, 4, 6, 8,
4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2,
4, 6, 8, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6, 2, 10, 2,
4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6,
4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 6, 4, 2, 10,
2, 12, 4, 2, 4, 6, 2, 10, 2, 10, 6, 2, 6, 4, 2, 6,
4, 14, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 6, 2, 12, 6,
4, 8, 6, 4, 6, 2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4,
2, 4, 6, 6, 8, 4, 2, 10, 6, 8, 6, 4, 2, 12, 6, 4,
6, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6, 6, 4, 2, 10, 12,
2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 8, 10, 2, 6, 4, 14,
4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4,
6, 2, 6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 8, 4, 2,
4, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 6, 14, 4,
6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12,
10, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6,
4, 6, 8, 4, 2, 10, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4,
2, 4, 6, 2, 6, 4, 2, 6, 10, 12, 2, 4, 2, 4, 6, 8,
4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 12, 2, 4, 2, 4, 8,
6, 10, 2, 4, 6, 2, 16, 2, 4, 6, 2, 6, 4, 2, 4, 2,
12, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2,
6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6,
4, 2, 10, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 12, 6,
4, 2, 4, 6, 6, 2, 6, 4, 8, 4, 6, 8, 6, 4, 2, 4,
8, 10, 6, 6, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 4,
2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 10, 6, 8, 4,
8, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 14, 6, 4,
2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 6, 6, 2,
6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2,
4, 8, 6, 4, 8, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 2,
4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 10, 6, 6, 8, 6, 4,
2, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 2, 4, 6, 2,
6, 6, 4, 12, 2, 6, 6, 4, 12, 2, 10, 2, 4, 2, 4, 6,
2, 6, 6, 10, 6, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 2,
12, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2,
6, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2,
6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10,
2, 6, 6, 10, 6, 2, 6, 4, 2, 4, 2, 10, 14, 4, 2, 10,
2, 10, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2,
4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6,
4, 6, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6,
8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 18, 4, 6, 12, 2,
6, 6, 4, 2, 4, 6, 2, 12, 4, 2, 12, 10, 2, 4, 2, 4,
6, 2, 6, 4, 6, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2,
4, 6, 8, 6, 12, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4,
2, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2,
6, 4, 2, 6, 10, 12, 2, 4, 6, 8, 6, 4, 6, 2, 4, 6,
2, 6, 10, 2, 4, 6, 2, 10, 2, 4, 2, 10, 2, 10, 2, 4,
6, 8, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2,
6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 8, 6, 4, 2, 4,
12, 2, 6, 4, 12, 6, 8, 4, 2, 4, 2, 4, 8, 6, 10, 6,
6, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10, 2,
6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8,
4, 6, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6,
8, 4, 6, 2, 10, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 4,
6, 6, 2, 6, 6, 6, 4, 6, 8, 6, 4, 2, 4, 8, 10, 8,
4, 6, 2, 6, 6, 4, 2, 4, 14, 4, 2, 4, 2, 10, 2, 10,
2, 4, 2, 4, 6, 2, 10, 2, 10, 8, 6, 4, 8, 4, 6, 8,
4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 6, 6,
2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2,
10, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 12, 6, 4, 6,
2, 4, 8, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10,
8, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 10, 6, 8,
6, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 6, 10, 2,
6, 4, 2, 4, 12, 12, 2, 4, 2, 10, 2, 6, 6, 4, 6, 6,
2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 16, 2, 16
};
#elif WHEEL_COUNT == 7 // A 2357111317 wheel
#define WHEEL_LEN 92160
#define START_PRIME 19
#define WHEEL_SUM (2 + 3 + 5 + 7 + 11 + 13 + 17)
#define WHEEL_PRODUCT (2 * 3 * 5 * 7 * 11 * 13 * 17)
int wheel[] = {
4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6,
8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 6,
6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6, 6,
6, 2, 6, 4, 2, 10, 14, 4, 2, 4, 14, 6, 10, 2, 4, 6,
2, 6, 6, 6, 4, 6, 8, 4, 8, 10, 2, 10, 2, 4, 2, 4,
6, 8, 4, 2, 4, 12, 8, 4, 8, 4, 6, 12, 2, 6, 12, 6,
4, 6, 6, 6, 2, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 12,
10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 8, 10, 2, 6, 4, 6,
8, 6, 6, 4, 8, 6, 4, 8, 4, 6, 8, 10, 12, 2, 6, 4,
2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 4, 6, 6,
8, 4, 8, 10, 8, 4, 2, 4, 6, 8, 6, 4, 6, 6, 6, 2,
6, 10, 2, 4, 6, 2, 10, 2, 6, 10, 2, 10, 2, 6, 4, 8,
6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 18, 4, 2, 6, 4, 8,
10, 6, 2, 4, 8, 12, 4, 2, 4, 6, 2, 6, 10, 2, 10, 12,
2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 6, 6, 16, 8,
4, 2, 4, 2, 4, 8, 6, 12, 4, 6, 14, 4, 2, 4, 6, 8,
4, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 10, 6, 6, 8,
6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 6, 4, 6, 14, 6, 4, 2, 10, 2, 10, 2, 4,
2, 10, 2, 10, 2, 10, 6, 2, 6, 6, 6, 4, 6, 8, 6, 4,
2, 12, 10, 6, 6, 6, 2, 12, 4, 2, 12, 6, 4, 2, 4, 2,
10, 2, 10, 6, 2, 4, 6, 8, 4, 2, 10, 6, 2, 6, 4, 12,
6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 6,
4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 12, 2, 6, 4,
2, 4, 6, 8, 12, 6, 4, 18, 2, 4, 2, 4, 8, 10, 6, 2,
4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 12,
10, 6, 2, 6, 4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 8, 4,
2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 10, 2,
10, 2, 4, 14, 10, 6, 2, 4, 6, 2, 6, 16, 6, 2, 10, 2,
6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 8, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6,
8, 6, 4, 12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 6, 8,
6, 4, 6, 2, 10, 2, 6, 10, 6, 6, 2, 6, 4, 2, 4, 2,
10, 14, 4, 6, 6, 2, 12, 4, 6, 6, 2, 6, 4, 2, 6, 4,
14, 4, 8, 4, 8, 6, 4, 8, 4, 6, 8, 6, 6, 10, 2, 6,
4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6,
6, 8, 4, 8, 4, 6, 12, 2, 4, 2, 12, 6, 10, 6, 6, 2,
6, 6, 4, 2, 4, 6, 2, 6, 6, 4, 12, 2, 10, 2, 6, 10,
2, 6, 4, 2, 4, 6, 14, 4, 2, 6, 10, 8, 4, 2, 4, 2,
4, 8, 10, 8, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 6, 2,
10, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 6,
6, 10, 8, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6, 2, 6, 6,
4, 2, 4, 6, 12, 2, 4, 2, 10, 2, 12, 4, 2, 4, 8, 10,
2, 4, 6, 8, 6, 4, 2, 10, 6, 8, 4, 8, 12, 6, 4, 6,
2, 4, 6, 2, 6, 6, 4, 6, 6, 8, 6, 4, 2, 10, 12, 2,
4, 2, 4, 6, 2, 6, 4, 2, 16, 2, 6, 4, 12, 6, 8, 4,
2, 6, 12, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4,
2, 4, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6,
2, 10, 2, 10, 6, 8, 10, 2, 4, 8, 6, 4, 6, 2, 4, 6,
2, 6, 6, 10, 6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10,
2, 6, 4, 2, 4, 6, 6, 12, 2, 6, 4, 14, 6, 4, 2, 4,
8, 10, 6, 2, 4, 6, 2, 6, 10, 2, 4, 8, 6, 4, 2, 16,
2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 8,
4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 14, 4, 2, 4,
6, 2, 12, 4, 2, 12, 10, 2, 4, 6, 6, 2, 6, 4, 6, 6,
6, 2, 6, 6, 6, 10, 12, 2, 4, 6, 8, 6, 10, 2, 4, 14,
6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 6, 4,
6, 8, 4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2,
4, 14, 4, 6, 2, 4, 6, 2, 6, 10, 2, 12, 6, 4, 2, 4,
12, 2, 10, 2, 4, 6, 6, 2, 12, 4, 6, 6, 2, 12, 6, 4,
6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6, 8, 6, 4, 2,
10, 2, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 14, 4, 2, 4,
6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6,
4, 6, 12, 2, 6, 6, 10, 6, 2, 6, 4, 2, 4, 2, 10, 2,
12, 6, 4, 6, 2, 10, 2, 4, 6, 14, 4, 2, 6, 18, 4, 2,
4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 6,
4, 6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 4, 12,
8, 6, 6, 4, 6, 8, 4, 2, 4, 2, 18, 4, 12, 6, 2, 6,
6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10, 6, 2, 4, 6,
2, 10, 2, 10, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4,
8, 6, 4, 8, 4, 8, 6, 10, 6, 6, 2, 6, 6, 4, 2, 10,
2, 10, 2, 4, 2, 4, 6, 8, 6, 10, 6, 2, 6, 4, 2, 6,
10, 8, 4, 2, 4, 14, 6, 4, 6, 2, 10, 2, 12, 4, 2, 4,
8, 10, 2, 4, 2, 10, 12, 6, 2, 4, 8, 6, 4, 2, 4, 6,
6, 2, 6, 4, 2, 10, 6, 8, 12, 4, 8, 6, 4, 8, 4, 6,
2, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4,
2, 12, 6, 4, 2, 4, 12, 2, 10, 2, 10, 18, 2, 4, 2, 4,
8, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2,
4, 14, 12, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4,
2, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 2, 10, 2, 6,
6, 4, 2, 4, 6, 12, 6, 2, 12, 10, 2, 6, 10, 2, 6, 4,
6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 4, 6, 8, 16,
2, 4, 6, 2, 6, 6, 4, 2, 4, 8, 10, 2, 6, 10, 2, 12,
4, 2, 4, 6, 8, 4, 2, 16, 2, 6, 4, 12, 6, 12, 2, 4,
2, 12, 6, 4, 6, 2, 4, 6, 8, 10, 2, 4, 6, 8, 4, 2,
4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 6, 2,
6, 12, 4, 6, 12, 2, 6, 4, 8, 6, 4, 6, 2, 4, 14, 6,
4, 2, 10, 2, 6, 4, 2, 4, 2, 12, 10, 2, 6, 4, 8, 6,
4, 6, 6, 6, 2, 10, 8, 4, 6, 8, 6, 4, 2, 4, 14, 4,
6, 6, 6, 2, 6, 6, 4, 12, 2, 6, 4, 2, 4, 12, 2, 10,
2, 6, 4, 6, 2, 6, 6, 4, 6, 6, 12, 2, 6, 10, 8, 4,
2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2,
6, 4, 8, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6,
6, 2, 6, 6, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 8,
10, 2, 12, 4, 6, 6, 8, 6, 4, 2, 10, 2, 12, 4, 2, 4,
6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 18, 4, 6, 2, 4,
8, 6, 4, 6, 2, 4, 6, 8, 6, 10, 6, 2, 6, 10, 2, 10,
2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 12, 6, 8, 4, 2, 6,
4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 12, 4,
2, 4, 8, 6, 6, 4, 2, 10, 2, 10, 6, 2, 4, 6, 2, 10,
2, 4, 6, 8, 6, 6, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4,
12, 6, 2, 6, 12, 10, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4,
2, 10, 8, 4, 2, 4, 6, 6, 2, 10, 2, 6, 18, 4, 2, 4,
6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 10,
2, 4, 12, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 6, 8, 6,
4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 18, 6, 2, 10, 2, 6,
6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 22, 2, 4, 6, 6, 2,
6, 4, 6, 12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 6, 14,
10, 2, 4, 6, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 6, 12,
10, 6, 2, 4, 6, 8, 4, 2, 16, 2, 6, 4, 2, 6, 4, 6,
12, 6, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 10, 2, 4, 6,
8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 12, 2, 6, 6, 4, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 10, 8, 10, 6, 2, 10,
8, 6, 4, 2, 12, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4,
8, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 6, 2,
4, 8, 6, 4, 12, 6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2,
4, 2, 10, 2, 10, 2, 10, 8, 6, 4, 2, 4, 6, 6, 8, 6,
6, 10, 12, 2, 4, 2, 4, 8, 16, 2, 4, 8, 6, 6, 4, 2,
4, 6, 2, 6, 4, 6, 12, 2, 10, 2, 6, 10, 2, 6, 4, 6,
6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4,
8, 4, 6, 2, 6, 6, 4, 2, 10, 8, 4, 6, 12, 2, 10, 2,
6, 4, 6, 2, 12, 4, 6, 8, 10, 2, 6, 4, 6, 8, 4, 6,
2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2,
12, 6, 10, 2, 16, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6,
4, 2, 10, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2, 10, 2,
12, 4, 6, 14, 4, 2, 4, 2, 10, 2, 16, 2, 4, 6, 2, 10,
2, 4, 6, 6, 2, 6, 4, 12, 14, 6, 6, 4, 8, 6, 4, 6,
2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 22, 2,
4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 12, 2, 6, 4, 14, 6,
4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6,
6, 4, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 14,
4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 8, 10, 2,
6, 10, 2, 4, 6, 2, 10, 2, 6, 12, 10, 2, 4, 2, 4, 6,
8, 4, 6, 6, 6, 2, 6, 4, 2, 6, 18, 4, 2, 4, 6, 8,
6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 6, 2, 12, 6, 10, 2,
10, 2, 4, 2, 4, 14, 4, 2, 4, 12, 2, 6, 4, 2, 6, 10,
12, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 10, 2, 4, 6,
2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 6, 6, 2, 6, 10, 12,
2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 4, 8, 6, 10, 2, 4,
6, 14, 4, 2, 12, 6, 4, 2, 4, 2, 12, 10, 2, 4, 2, 4,
8, 10, 2, 4, 6, 6, 2, 6, 12, 4, 6, 8, 4, 6, 2, 4,
8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 10, 8, 4, 2, 4,
2, 10, 2, 10, 2, 6, 10, 8, 4, 2, 4, 6, 6, 8, 4, 2,
6, 10, 8, 6, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 6,
4, 8, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6,
4, 2, 10, 8, 6, 12, 4, 6, 8, 4, 2, 4, 2, 4, 8, 10,
8, 4, 6, 8, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2,
10, 2, 4, 6, 6, 2, 10, 2, 4, 14, 6, 6, 6, 4, 6, 12,
6, 2, 4, 14, 4, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 6,
6, 4, 2, 10, 2, 10, 8, 4, 6, 2, 6, 4, 12, 6, 2, 6,
4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 18, 4, 6, 2, 4, 8,
12, 4, 2, 12, 6, 4, 2, 4, 12, 2, 10, 6, 2, 4, 6, 2,
6, 6, 4, 6, 6, 2, 10, 2, 10, 6, 8, 6, 4, 6, 8, 6,
4, 6, 2, 10, 2, 6, 6, 6, 4, 6, 2, 6, 4, 2, 6, 10,
12, 6, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4,
14, 4, 6, 2, 4, 8, 6, 4, 8, 10, 2, 6, 6, 4, 6, 6,
2, 6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 8, 10, 2, 4, 6,
6, 2, 6, 4, 2, 6, 4, 18, 2, 4, 2, 4, 14, 10, 2, 10,
2, 6, 6, 6, 4, 6, 2, 10, 6, 14, 10, 2, 4, 2, 10, 2,
6, 4, 6, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 14,
6, 10, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 12, 10, 2,
10, 2, 6, 4, 6, 8, 4, 2, 4, 14, 6, 4, 2, 6, 4, 6,
12, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4,
6, 2, 10, 2, 4, 2, 10, 2, 12, 4, 6, 6, 8, 6, 4, 6,
6, 2, 6, 4, 2, 16, 8, 4, 2, 18, 6, 4, 6, 2, 4, 6,
8, 6, 4, 2, 10, 12, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4,
8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2,
6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2,
6, 4, 2, 4, 2, 22, 2, 6, 4, 6, 2, 6, 4, 2, 4, 12,
12, 2, 16, 8, 6, 4, 2, 4, 8, 16, 2, 4, 8, 12, 4, 6,
6, 2, 6, 4, 6, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4,
2, 4, 6, 6, 8, 6, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6,
4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2, 6, 10, 2,
10, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4,
14, 10, 2, 4, 8, 10, 6, 2, 4, 6, 2, 12, 4, 6, 8, 6,
6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10,
6, 2, 6, 4, 8, 10, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2,
4, 6, 14, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6,
6, 6, 2, 6, 4, 6, 6, 6, 2, 6, 6, 10, 6, 14, 4, 2,
4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 6, 4, 8, 6, 4, 2,
4, 2, 10, 12, 2, 6, 10, 2, 10, 6, 6, 6, 2, 12, 6, 4,
14, 4, 2, 4, 2, 4, 14, 4, 6, 6, 6, 2, 6, 6, 4, 2,
10, 2, 6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 8, 6, 4,
6, 6, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4,
6, 2, 10, 2, 6, 6, 6, 4, 6, 2, 10, 2, 6, 12, 10, 6,
2, 4, 6, 2, 6, 4, 6, 6, 8, 6, 4, 2, 6, 4, 6, 8,
4, 2, 4, 6, 8, 16, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6,
4, 2, 6, 10, 2, 12, 4, 6, 6, 12, 2, 4, 12, 2, 6, 4,
2, 6, 4, 18, 2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6,
12, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 6, 6, 6, 2, 6,
6, 10, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 6, 12, 6, 4,
6, 6, 14, 6, 4, 2, 10, 2, 6, 6, 4, 2, 10, 2, 10, 2,
4, 2, 4, 8, 6, 6, 4, 6, 8, 6, 4, 8, 4, 6, 8, 4,
2, 4, 6, 8, 6, 4, 18, 2, 6, 10, 2, 4, 6, 2, 6, 4,
2, 4, 2, 10, 12, 2, 6, 4, 6, 8, 4, 2, 4, 6, 6, 8,
4, 2, 6, 10, 8, 4, 6, 6, 8, 10, 8, 4, 8, 6, 6, 4,
2, 4, 6, 2, 10, 6, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6,
4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 6, 4, 8,
6, 12, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 12,
12, 2, 4, 2, 10, 2, 10, 2, 4, 14, 6, 4, 2, 10, 6, 8,
4, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 4, 6, 6, 2,
6, 10, 2, 12, 10, 2, 6, 4, 6, 2, 6, 4, 2, 10, 6, 2,
6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 12, 6, 4, 6, 2, 4,
6, 2, 12, 4, 2, 4, 18, 2, 4, 2, 10, 2, 16, 2, 10, 2,
6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2,
12, 10, 6, 2, 4, 6, 2, 6, 6, 6, 4, 14, 4, 2, 4, 2,
10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 10, 6, 2, 10, 8, 4,
14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2,
4, 6, 2, 6, 4, 2, 4, 14, 12, 4, 6, 6, 2, 6, 4, 2,
4, 6, 6, 2, 12, 6, 4, 6, 14, 4, 2, 4, 14, 4, 6, 2,
12, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 10, 2, 6, 4,
6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2,
4, 6, 14, 10, 2, 4, 6, 2, 6, 10, 2, 10, 2, 6, 4, 2,
16, 2, 10, 2, 4, 2, 4, 6, 8, 6, 4, 12, 2, 10, 2, 6,
4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 16, 2,
4, 6, 2, 6, 6, 6, 10, 2, 10, 6, 6, 6, 2, 6, 6, 4,
6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 6, 4, 8, 6, 4,
6, 2, 10, 8, 6, 4, 12, 2, 6, 4, 2, 4, 2, 10, 2, 12,
4, 2, 4, 8, 10, 6, 6, 6, 2, 6, 4, 8, 4, 14, 4, 2,
4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 8, 6,
4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 2, 10, 2, 4, 6, 6,
8, 6, 6, 10, 8, 4, 2, 4, 2, 12, 10, 6, 6, 8, 6, 6,
4, 2, 10, 2, 6, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6, 8,
4, 2, 4, 6, 8, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4,
8, 6, 4, 8, 4, 6, 2, 6, 12, 4, 6, 8, 4, 2, 4, 2,
10, 2, 10, 2, 4, 2, 4, 6, 12, 2, 4, 6, 8, 6, 4, 2,
6, 10, 8, 4, 6, 6, 8, 10, 6, 2, 4, 6, 2, 6, 6, 4,
6, 6, 2, 12, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2,
16, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 18, 4, 6, 2,
4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 12, 6,
2, 4, 6, 2, 6, 4, 2, 16, 2, 6, 4, 2, 10, 6, 8, 6,
4, 2, 4, 8, 6, 10, 2, 4, 8, 12, 6, 4, 6, 2, 6, 4,
2, 4, 2, 22, 2, 4, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10,
2, 6, 4, 14, 4, 6, 6, 8, 6, 4, 6, 2, 10, 2, 6, 6,
4, 2, 4, 6, 8, 4, 2, 4, 12, 14, 4, 2, 10, 2, 6, 4,
2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 10, 2, 4, 18,
8, 10, 2, 6, 6, 4, 2, 4, 8, 10, 2, 4, 2, 12, 10, 2,
4, 2, 4, 8, 6, 4, 12, 6, 2, 6, 4, 8, 4, 6, 12, 2,
4, 6, 8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 4, 6, 2, 6,
4, 2, 16, 2, 10, 2, 4, 12, 8, 4, 2, 4, 12, 2, 6, 6,
6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6,
10, 2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 10, 6, 2,
6, 10, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4,
14, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 12,
2, 12, 4, 2, 4, 8, 6, 6, 4, 6, 6, 2, 10, 12, 6, 8,
4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4,
6, 8, 4, 2, 6, 10, 2, 10, 8, 4, 6, 2, 6, 4, 2, 4,
6, 6, 8, 4, 8, 10, 8, 4, 2, 6, 4, 8, 10, 6, 2, 12,
6, 6, 4, 6, 6, 2, 6, 4, 6, 2, 12, 12, 4, 2, 4, 6,
2, 10, 2, 4, 6, 6, 2, 12, 6, 4, 14, 6, 4, 2, 4, 8,
6, 4, 8, 4, 6, 2, 6, 6, 10, 6, 8, 4, 6, 2, 10, 2,
10, 2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 14, 4, 2, 6, 4,
6, 8, 4, 6, 2, 12, 6, 4, 6, 6, 6, 2, 6, 10, 6, 6,
2, 6, 6, 6, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2,
10, 8, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 12, 6, 4, 8,
4, 6, 2, 16, 2, 4, 8, 6, 6, 4, 2, 10, 2, 10, 6, 2,
4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 16, 8, 6, 4,
6, 8, 6, 4, 6, 2, 4, 6, 8, 6, 6, 4, 6, 2, 10, 2,
4, 2, 10, 12, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 10, 2,
6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6,
6, 4, 2, 4, 8, 6, 4, 2, 4, 12, 14, 4, 2, 4, 6, 2,
10, 2, 4, 12, 2, 6, 6, 10, 6, 8, 4, 2, 4, 2, 4, 14,
10, 12, 2, 12, 4, 2, 10, 2, 10, 2, 4, 2, 12, 10, 2, 4,
2, 4, 6, 8, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8,
4, 6, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 6, 4, 6, 8,
4, 2, 6, 10, 2, 10, 2, 4, 2, 10, 8, 4, 2, 4, 14, 6,
4, 2, 6, 4, 6, 14, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2,
6, 10, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6,
6, 2, 6, 6, 16, 2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4,
14, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 4,
2, 10, 2, 10, 6, 6, 8, 6, 4, 2, 10, 6, 2, 6, 12, 4,
6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 6, 8, 6, 6, 4, 2,
4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2,
6, 10, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 6, 18, 6,
2, 12, 6, 6, 4, 2, 10, 2, 6, 4, 6, 12, 12, 2, 4, 2,
4, 6, 2, 6, 6, 4, 6, 6, 2, 12, 6, 4, 6, 8, 4, 6,
2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8,
4, 2, 6, 10, 2, 10, 6, 2, 4, 8, 10, 2, 4, 6, 8, 6,
4, 2, 6, 4, 6, 12, 6, 2, 4, 8, 6, 10, 2, 10, 2, 6,
6, 4, 6, 6, 2, 6, 6, 4, 12, 2, 12, 4, 2, 10, 2, 10,
2, 10, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 12, 6,
4, 6, 2, 4, 6, 2, 12, 6, 4, 8, 6, 4, 6, 2, 10, 2,
10, 8, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 10, 6,
8, 6, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6,
2, 12, 4, 2, 10, 14, 4, 2, 10, 2, 6, 4, 2, 4, 6, 8,
10, 2, 10, 14, 4, 2, 4, 2, 12, 6, 4, 8, 4, 6, 2, 6,
10, 2, 4, 6, 8, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 8,
4, 2, 4, 6, 6, 2, 6, 4, 8, 10, 8, 4, 2, 10, 14, 4,
6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12,
10, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4,
6, 8, 6, 10, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 6, 6,
2, 6, 4, 2, 6, 10, 12, 2, 4, 2, 4, 6, 8, 4, 2, 4,
12, 8, 4, 2, 10, 6, 12, 2, 4, 2, 4, 8, 6, 10, 2, 4,
6, 2, 16, 2, 4, 6, 2, 6, 4, 2, 6, 12, 10, 2, 4, 6,
6, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 14, 4, 8,
4, 8, 6, 4, 6, 2, 4, 6, 14, 4, 2, 10, 8, 6, 4, 2,
10, 2, 10, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2, 6, 4,
8, 10, 8, 6, 4, 2, 4, 8, 10, 6, 6, 6, 8, 6, 4, 2,
4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6,
4, 12, 6, 8, 4, 8, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6,
2, 4, 14, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 10, 2,
4, 6, 6, 2, 10, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12,
2, 4, 2, 4, 8, 6, 4, 12, 8, 6, 6, 4, 2, 10, 8, 4,
2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 12, 6, 6, 8, 6, 4,
2, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 2, 4, 6, 2,
6, 6, 16, 2, 6, 6, 4, 12, 2, 10, 2, 4, 2, 4, 6, 2,
6, 6, 10, 8, 10, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 10,
6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 6, 10, 2,
10, 6, 6, 6, 2, 6, 4, 2, 4, 12, 2, 6, 4, 2, 10, 6,
8, 6, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 10, 6, 2,
6, 4, 2, 4, 2, 10, 18, 2, 10, 2, 10, 2, 10, 6, 2, 10,
2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8,
6, 6, 6, 4, 6, 2, 6, 4, 6, 12, 2, 12, 4, 2, 4, 6,
2, 6, 6, 4, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4,
20, 4, 6, 12, 2, 6, 6, 4, 2, 4, 6, 2, 12, 4, 2, 22,
2, 4, 2, 4, 6, 2, 6, 4, 6, 6, 8, 6, 4, 2, 6, 4,
6, 8, 4, 6, 6, 8, 6, 12, 4, 6, 2, 6, 10, 2, 4, 6,
2, 6, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 4,
12, 2, 6, 4, 2, 6, 10, 12, 2, 4, 6, 8, 6, 10, 2, 4,
6, 2, 6, 10, 2, 4, 6, 2, 10, 2, 4, 12, 2, 10, 2, 4,
14, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2,
6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6,
4, 6, 2, 10, 12, 2, 6, 4, 8, 6, 4, 2, 4, 12, 2, 6,
4, 12, 6, 8, 4, 2, 4, 2, 4, 8, 6, 10, 6, 6, 2, 12,
4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 12, 6, 4, 6, 2, 6,
4, 2, 4, 6, 6, 8, 4, 2, 16, 8, 4, 6, 2, 12, 10, 6,
2, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 6, 2, 10, 2, 10,
2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 12, 4, 6,
8, 6, 6, 4, 8, 10, 8, 4, 6, 2, 6, 6, 4, 2, 4, 14,
4, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 10, 2, 10, 8,
10, 8, 4, 6, 8, 10, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8,
6, 4, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 6, 6,
2, 6, 4, 2, 10, 6, 8, 6, 6, 4, 6, 12, 2, 4, 2, 12,
6, 4, 6, 2, 4, 8, 16, 2, 4, 8, 6, 4, 2, 6, 10, 2,
10, 8, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 10, 14,
6, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 12, 6, 10, 2, 6,
6, 4, 12, 12, 2, 4, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10,
2, 6, 18, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8,
6, 4, 2, 4, 6, 2, 6, 4, 2, 16, 2, 16, 2, 4, 6, 2,
6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4,
2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 6, 8, 10, 2, 4,
2, 12, 12, 4, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 6, 6,
4, 14, 4, 2, 4, 6, 8, 6, 10, 6, 6, 2, 6, 6, 6, 10,
2, 6, 4, 8, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4,
12, 8, 4, 2, 6, 4, 6, 12, 2, 4, 2, 12, 6, 4, 6, 6,
6, 2, 6, 12, 4, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4,
6, 6, 2, 6, 6, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4,
2, 6, 4, 8, 10, 8, 4, 6, 8, 10, 2, 10, 2, 6, 4, 2,
4, 2, 10, 2, 10, 2, 4, 6, 14, 4, 2, 4, 12, 2, 6, 4,
8, 10, 8, 4, 2, 4, 6, 14, 4, 6, 6, 6, 2, 6, 6, 4,
2, 4, 6, 2, 10, 2, 4, 2, 10, 2, 10, 8, 4, 8, 6, 4,
2, 10, 6, 8, 4, 2, 6, 10, 8, 4, 2, 6, 4, 8, 10, 6,
2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 12,
2, 4, 2, 4, 6, 2, 6, 6, 4, 12, 2, 6, 6, 10, 6, 8,
4, 2, 4, 6, 8, 6, 12, 10, 2, 12, 4, 2, 4, 6, 8, 4,
2, 4, 2, 22, 2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6,
4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6,
2, 6, 6, 4, 6, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2,
12, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 14, 4, 2,
12, 16, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 12,
2, 10, 6, 2, 10, 2, 6, 4, 2, 10, 6, 2, 6, 4, 12, 6,
8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 6, 4,
6, 2, 6, 4, 6, 2, 10, 12, 2, 16, 2, 6, 4, 2, 4, 6,
6, 2, 12, 6, 4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4,
8, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 12, 2, 12, 6, 4,
6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 10, 6, 8, 4, 2,
4, 2, 18, 4, 6, 2, 10, 2, 6, 6, 4, 2, 10, 12, 2, 4,
14, 10, 2, 4, 2, 4, 6, 2, 6, 10, 6, 6, 2, 10, 8, 4,
6, 8, 4, 2, 10, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2,
4, 6, 2, 6, 4, 2, 6, 12, 10, 6, 2, 4, 6, 8, 4, 2,
4, 12, 2, 10, 2, 6, 4, 6, 14, 4, 2, 4, 8, 6, 4, 6,
2, 10, 2, 6, 10, 6, 6, 2, 6, 4, 2, 4, 2, 10, 2, 12,
4, 6, 6, 2, 12, 4, 6, 6, 8, 4, 2, 6, 4, 14, 4, 2,
6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 12, 10, 2, 6, 4, 8,
10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4,
8, 4, 14, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 12, 4,
2, 4, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2,
6, 4, 2, 4, 6, 14, 4, 2, 6, 10, 8, 4, 2, 4, 2, 4,
8, 10, 8, 4, 14, 10, 2, 4, 6, 2, 6, 4, 6, 2, 10, 2,
10, 2, 4, 2, 4, 6, 8, 4, 6, 6, 6, 2, 6, 6, 6, 10,
8, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2,
4, 18, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 10, 2, 4,
6, 8, 6, 6, 6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6, 6,
6, 2, 6, 6, 4, 12, 2, 6, 6, 4, 2, 10, 12, 2, 4, 2,
4, 6, 8, 4, 2, 16, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4,
2, 12, 6, 10, 2, 4, 6, 2, 12, 6, 4, 8, 6, 4, 2, 4,
2, 12, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 4,
2, 10, 6, 8, 10, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6,
6, 4, 6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 12, 2, 6, 4,
2, 4, 12, 2, 10, 2, 6, 4, 14, 6, 4, 2, 4, 18, 6, 2,
4, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 4, 12, 2, 16,
2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8,
4, 2, 4, 2, 4, 14, 4, 6, 2, 18, 6, 4, 2, 4, 6, 2,
10, 2, 4, 2, 12, 10, 2, 4, 6, 6, 2, 6, 10, 6, 6, 2,
6, 6, 6, 4, 6, 12, 2, 4, 6, 8, 6, 10, 2, 12, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 12, 2, 6, 4, 6, 8,
4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 12, 6, 2, 4, 14, 4,
8, 4, 6, 2, 6, 10, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10,
2, 4, 6, 8, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 6, 12,
2, 6, 4, 8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6,
4, 2, 16, 2, 10, 6, 2, 12, 6, 4, 2, 4, 6, 6, 2, 6,
4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6, 12, 2,
6, 6, 4, 6, 6, 2, 6, 4, 6, 2, 10, 2, 12, 6, 4, 6,
2, 10, 2, 4, 6, 6, 8, 4, 2, 6, 18, 4, 2, 4, 2, 4,
8, 10, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 10, 6, 2, 10,
2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 6, 10,
6, 8, 4, 2, 4, 2, 12, 6, 4, 12, 6, 2, 6, 6, 4, 2,
4, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10,
2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 4, 8, 4, 8, 6, 4,
8, 4, 6, 2, 6, 10, 6, 6, 2, 6, 6, 4, 2, 12, 10, 2,
4, 2, 4, 6, 8, 4, 2, 10, 6, 2, 10, 2, 6, 10, 8, 6,
4, 14, 6, 4, 6, 2, 4, 6, 2, 12, 4, 6, 8, 10, 2, 4,
2, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4,
2, 10, 6, 8, 6, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6,
12, 4, 6, 2, 6, 4, 2, 6, 10, 12, 2, 4, 2, 10, 2, 6,
4, 2, 4, 12, 2, 10, 2, 10, 14, 4, 2, 4, 2, 4, 8, 6,
10, 2, 4, 6, 2, 12, 4, 2, 4, 6, 2, 6, 6, 4, 14, 12,
4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6,
10, 8, 4, 6, 2, 4, 14, 4, 6, 2, 10, 8, 6, 4, 2, 4,
6, 12, 2, 4, 2, 12, 10, 2, 4, 2, 10, 2, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 4, 6, 8, 16, 2, 4,
6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 6, 10, 2, 10, 2,
4, 2, 4, 6, 12, 2, 16, 2, 6, 12, 4, 6, 12, 2, 4, 2,
4, 8, 6, 4, 6, 6, 6, 8, 10, 2, 10, 2, 6, 4, 2, 4,
2, 10, 2, 10, 2, 4, 6, 6, 8, 6, 4, 6, 6, 2, 6, 6,
6, 4, 6, 12, 2, 6, 4, 8, 6, 4, 6, 2, 4, 14, 6, 6,
10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 8, 6, 4,
6, 6, 8, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 18, 6,
6, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10,
2, 10, 6, 2, 6, 6, 4, 12, 12, 2, 6, 10, 8, 4, 2, 4,
2, 4, 18, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4,
8, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6,
6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 12, 6,
6, 4, 6, 6, 8, 4, 2, 4, 2, 10, 2, 12, 4, 2, 4, 6,
2, 12, 4, 6, 8, 6, 4, 2, 6, 4, 14, 4, 6, 6, 8, 6,
4, 6, 2, 10, 2, 6, 6, 10, 6, 2, 6, 10, 2, 10, 12, 2,
4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 4, 6,
8, 4, 6, 2, 12, 6, 4, 12, 6, 2, 12, 4, 2, 4, 8, 6,
6, 4, 2, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 4, 6, 8,
6, 4, 2, 10, 6, 14, 4, 2, 4, 8, 6, 12, 4, 6, 2, 6,
12, 4, 6, 2, 6, 4, 2, 4, 12, 12, 2, 4, 2, 10, 8, 4,
2, 4, 6, 6, 2, 10, 2, 6, 18, 4, 2, 4, 6, 8, 6, 4,
6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 6, 12, 2,
12, 6, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 6, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2,
4, 6, 2, 10, 2, 4, 2, 24, 4, 2, 4, 6, 2, 6, 4, 6,
12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 14, 6, 10, 2, 4,
6, 2, 12, 4, 2, 4, 6, 8, 4, 2, 6, 12, 10, 2, 4, 2,
4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 8, 4, 6, 12, 8, 4,
8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2,
4, 2, 12, 10, 2, 4, 12, 2, 6, 6, 4, 6, 6, 2, 10, 2,
6, 4, 6, 8, 6, 6, 4, 8, 10, 6, 2, 4, 6, 8, 6, 4,
14, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4,
2, 10, 6, 8, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6,
4, 6, 6, 6, 8, 10, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2,
10, 2, 10, 6, 2, 6, 4, 2, 4, 6, 6, 8, 6, 6, 22, 2,
4, 2, 4, 8, 10, 6, 2, 4, 8, 12, 4, 2, 4, 6, 2, 6,
10, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 2,
6, 6, 6, 10, 8, 4, 2, 4, 2, 4, 14, 4, 8, 4, 6, 8,
6, 4, 2, 10, 8, 4, 2, 4, 12, 2, 10, 2, 4, 2, 4, 6,
2, 16, 6, 8, 10, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 8, 6, 6, 6, 10, 2,
10, 6, 2, 4, 6, 2, 10, 2, 10, 6, 2, 6, 6, 6, 4, 6,
8, 4, 2, 4, 2, 12, 6, 4, 6, 12, 2, 12, 4, 14, 6, 4,
2, 4, 2, 10, 2, 16, 2, 4, 6, 12, 2, 4, 6, 6, 2, 6,
4, 2, 10, 14, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2,
6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2, 4, 2, 10,
2, 6, 4, 2, 4, 6, 18, 2, 6, 4, 14, 4, 2, 4, 2, 12,
10, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 6, 4, 12,
2, 12, 4, 6, 6, 2, 6, 4, 2, 4, 14, 6, 4, 2, 6, 4,
6, 8, 4, 2, 4, 2, 4, 14, 4, 8, 10, 2, 6, 10, 2, 4,
6, 2, 10, 2, 4, 2, 12, 10, 6, 2, 4, 6, 8, 4, 12, 6,
2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4,
8, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6, 10, 2, 10, 2, 4,
2, 4, 14, 6, 4, 12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 10,
8, 6, 4, 6, 2, 10, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2,
4, 2, 10, 12, 2, 4, 6, 6, 2, 6, 6, 4, 12, 2, 6, 4,
2, 10, 6, 8, 4, 8, 4, 8, 6, 12, 4, 6, 14, 4, 2, 10,
2, 6, 4, 2, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4, 2,
4, 6, 6, 2, 6, 4, 8, 4, 6, 12, 6, 2, 4, 8, 6, 10,
6, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 10,
2, 6, 10, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8,
6, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 8,
6, 4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 10,
6, 2, 6, 12, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8,
4, 6, 8, 6, 4, 2, 4, 6, 12, 2, 4, 2, 10, 2, 12, 4,
6, 6, 2, 10, 2, 4, 6, 8, 6, 6, 10, 6, 12, 6, 2, 12,
6, 4, 6, 2, 4, 8, 6, 6, 4, 6, 6, 8, 6, 4, 2, 10,
2, 10, 2, 6, 4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 8, 4,
6, 8, 4, 2, 6, 18, 4, 6, 2, 4, 6, 2, 12, 4, 2, 12,
6, 4, 2, 4, 14, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6,
2, 10, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4,
6, 2, 6, 6, 10, 6, 2, 6, 4, 2, 6, 10, 12, 6, 2, 10,
2, 6, 4, 2, 4, 6, 6, 12, 2, 6, 4, 14, 4, 2, 4, 2,
4, 8, 6, 4, 6, 2, 10, 2, 6, 10, 6, 6, 2, 6, 4, 2,
16, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 4,
2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 12,
6, 4, 6, 2, 16, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4,
6, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 14, 6, 10, 6,
6, 8, 6, 4, 2, 4, 6, 2, 6, 6, 6, 10, 2, 10, 2, 4,
2, 4, 6, 8, 4, 6, 14, 6, 4, 2, 6, 4, 6, 12, 2, 4,
2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 8, 6, 4,
2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 14, 4, 6, 6, 2, 6,
6, 6, 10, 8, 4, 2, 10, 8, 6, 4, 6, 6, 6, 8, 6, 4,
2, 10, 2, 10, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 14, 4,
2, 4, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8,
6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4,
2, 10, 12, 2, 6, 4, 6, 2, 6, 4, 2, 4, 20, 4, 2, 16,
8, 4, 2, 4, 2, 4, 8, 16, 2, 4, 8, 12, 4, 2, 4, 6,
2, 6, 4, 6, 2, 12, 10, 2, 4, 6, 6, 2, 6, 4, 2, 4,
12, 2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 8, 4,
6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10,
6, 2, 10, 2, 10, 2, 10, 8, 6, 4, 2, 6, 4, 6, 8, 10,
2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 6, 8, 6, 6, 4,
2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 6, 10, 6, 2, 6,
4, 8, 4, 6, 8, 4, 2, 4, 14, 6, 4, 6, 2, 10, 14, 4,
2, 4, 8, 6, 4, 2, 4, 2, 10, 12, 6, 6, 6, 2, 6, 4,
2, 4, 6, 6, 2, 6, 6, 10, 6, 18, 2, 4, 8, 6, 4, 8,
4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2,
6, 12, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4, 18, 2, 4, 2,
4, 14, 10, 2, 4, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2,
4, 12, 2, 12, 4, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2,
6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6,
6, 4, 2, 4, 6, 2, 10, 8, 12, 10, 8, 4, 6, 2, 6, 4,
6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8,
6, 10, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 10, 2,
12, 4, 2, 4, 6, 12, 2, 4, 12, 2, 6, 4, 2, 10, 18, 2,
4, 2, 12, 6, 4, 6, 2, 4, 6, 2, 6, 12, 4, 6, 8, 4,
6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 6, 8,
4, 8, 4, 6, 8, 4, 2, 6, 12, 6, 4, 6, 6, 6, 8, 6,
4, 2, 10, 2, 6, 6, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6,
4, 2, 4, 6, 8, 10, 8, 4, 6, 8, 6, 4, 2, 4, 8, 6,
4, 12, 6, 2, 6, 10, 6, 6, 2, 6, 4, 2, 4, 2, 10, 2,
10, 2, 6, 4, 6, 8, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10,
8, 4, 2, 4, 6, 8, 10, 6, 2, 4, 8, 6, 10, 2, 4, 6,
2, 10, 8, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6,
6, 2, 6, 6, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 8, 4,
6, 2, 12, 4, 2, 4, 6, 8, 6, 4, 2, 10, 12, 2, 4, 2,
4, 6, 2, 10, 2, 4, 14, 6, 4, 2, 16, 8, 4, 6, 2, 4,
8, 6, 10, 2, 4, 6, 14, 4, 6, 6, 2, 6, 6, 4, 2, 12,
10, 2, 4, 2, 4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 2, 6,
4, 6, 8, 4, 6, 2, 12, 6, 4, 6, 2, 4, 6, 2, 12, 4,
2, 4, 14, 4, 2, 4, 2, 10, 2, 10, 6, 2, 10, 2, 10, 2,
4, 6, 6, 2, 6, 6, 10, 6, 8, 6, 4, 2, 4, 8, 10, 6,
6, 6, 2, 6, 6, 6, 12, 6, 4, 2, 4, 2, 10, 12, 2, 4,
2, 10, 8, 4, 2, 10, 6, 2, 10, 8, 4, 14, 4, 2, 4, 2,
4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 6, 4, 6, 2, 6, 4,
2, 4, 12, 2, 12, 4, 6, 6, 2, 6, 4, 2, 4, 6, 8, 6,
6, 6, 4, 6, 12, 2, 4, 2, 4, 18, 6, 2, 12, 6, 6, 4,
2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 10, 6, 2, 6, 4,
6, 12, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 14, 10,
2, 4, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 16, 2, 10,
6, 2, 4, 6, 8, 6, 16, 2, 10, 2, 6, 4, 6, 12, 2, 4,
2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 6,
4, 2, 6, 10, 2, 10, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2,
6, 4, 2, 6, 4, 6, 8, 4, 2, 10, 8, 6, 4, 6, 2, 10,
8, 6, 4, 12, 2, 6, 4, 2, 4, 2, 10, 14, 4, 2, 4, 8,
10, 2, 4, 6, 6, 2, 6, 4, 8, 4, 14, 4, 6, 2, 4, 8,
6, 4, 12, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10,
2, 10, 2, 6, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6,
10, 12, 2, 4, 2, 12, 16, 6, 8, 6, 6, 4, 2, 4, 6, 2,
6, 10, 12, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 8,
6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4,
6, 2, 6, 10, 2, 4, 6, 8, 4, 6, 2, 10, 2, 10, 2, 6,
4, 6, 12, 2, 4, 6, 8, 6, 4, 2, 6, 10, 8, 4, 6, 6,
8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 12, 4,
2, 10, 2, 12, 4, 2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4,
2, 10, 6, 8, 4, 2, 6, 12, 6, 4, 6, 2, 4, 6, 2, 12,
4, 2, 4, 14, 4, 2, 4, 2, 10, 12, 6, 2, 4, 6, 2, 6,
4, 2, 4, 12, 2, 6, 4, 12, 6, 8, 6, 6, 4, 8, 6, 10,
2, 4, 6, 2, 12, 6, 4, 6, 2, 6, 4, 2, 4, 2, 22, 2,
4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14,
10, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6,
8, 4, 2, 4, 12, 2, 12, 4, 2, 10, 2, 6, 4, 2, 4, 6,
6, 8, 4, 2, 6, 4, 6, 8, 6, 4, 2, 4, 18, 6, 2, 10,
2, 6, 10, 2, 4, 8, 10, 2, 6, 12, 10, 2, 4, 2, 4, 6,
2, 6, 4, 12, 6, 2, 6, 4, 8, 4, 14, 4, 2, 4, 6, 8,
6, 10, 2, 4, 6, 14, 4, 2, 4, 6, 2, 6, 6, 6, 10, 2,
10, 2, 4, 6, 6, 8, 4, 2, 4, 12, 2, 6, 6, 6, 10, 12,
2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 14, 10, 2, 4, 6, 2,
6, 4, 2, 4, 2, 10, 2, 10, 2, 10, 6, 2, 6, 10, 6, 6,
2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2,
4, 6, 8, 6, 4, 2, 12, 6, 4, 2, 4, 12, 2, 10, 2, 4,
2, 4, 8, 12, 4, 6, 6, 2, 18, 4, 6, 8, 4, 2, 4, 2,
4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4,
2, 6, 10, 2, 10, 8, 4, 6, 8, 4, 2, 4, 6, 6, 8, 4,
2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 2, 12, 6, 6,
10, 6, 2, 6, 4, 6, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10,
2, 4, 6, 8, 6, 6, 6, 4, 14, 4, 2, 4, 2, 4, 8, 10,
8, 4, 6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 10, 2, 10,
2, 4, 6, 6, 2, 10, 2, 4, 20, 4, 2, 6, 4, 6, 8, 4,
6, 2, 18, 4, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6,
4, 2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 10, 8, 6,
4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 8, 4, 8,
16, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6,
8, 6, 4, 6, 6, 2, 6, 4, 2, 16, 8, 6, 4, 6, 8, 6,
4, 6, 2, 10, 2, 6, 6, 6, 4, 6, 2, 10, 2, 4, 2, 10,
12, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4,
14, 4, 8, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4,
6, 2, 6, 4, 2, 4, 12, 14, 4, 2, 4, 8, 6, 4, 2, 4,
12, 2, 6, 4, 2, 10, 6, 12, 2, 4, 2, 4, 14, 10, 2, 10,
2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 14, 10, 2, 4, 2, 10,
2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 6,
6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4,
8, 10, 2, 10, 2, 6, 10, 8, 4, 2, 4, 12, 2, 6, 4, 2,
6, 4, 6, 14, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 10,
2, 4, 8, 10, 2, 4, 2, 10, 2, 12, 4, 6, 6, 2, 6, 6,
10, 6, 2, 6, 4, 12, 6, 8, 4, 2, 6, 12, 6, 4, 6, 2,
4, 6, 8, 6, 4, 2, 10, 8, 4, 2, 4, 2, 10, 2, 10, 2,
4, 6, 8, 6, 4, 2, 4, 6, 6, 2, 6, 12, 4, 6, 12, 2,
6, 4, 8, 6, 4, 6, 6, 8, 6, 6, 4, 2, 4, 6, 2, 6,
4, 2, 4, 2, 12, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6, 6,
12, 2, 6, 10, 8, 6, 4, 2, 4, 18, 6, 2, 4, 8, 6, 6,
4, 12, 2, 6, 4, 6, 12, 2, 10, 2, 4, 2, 4, 6, 2, 6,
6, 4, 6, 6, 14, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6,
4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2, 6, 10, 2,
10, 6, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4,
14, 4, 6, 2, 4, 8, 6, 4, 6, 2, 10, 2, 12, 4, 6, 6,
2, 6, 6, 4, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 10,
6, 2, 6, 4, 2, 6, 18, 4, 2, 4, 2, 12, 6, 4, 6, 2,
4, 6, 14, 6, 4, 8, 6, 4, 6, 2, 10, 2, 10, 6, 2, 4,
6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 10, 6, 8, 6, 4, 2,
12, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 8, 6, 6, 4, 2,
10, 12, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 12, 6, 4, 14,
4, 2, 4, 2, 4, 8, 6, 4, 12, 6, 2, 6, 10, 2, 10, 2,
6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 8, 4, 2, 4, 6,
6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 6, 14, 4, 6, 2,
10, 2, 6, 6, 6, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 4,
2, 4, 8, 6, 4, 6, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4,
2, 10, 8, 16, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6,
4, 2, 6, 10, 12, 2, 4, 6, 6, 8, 4, 2, 4, 12, 2, 6,
4, 2, 10, 6, 12, 2, 4, 2, 4, 14, 10, 2, 4, 6, 2, 16,
2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10, 6, 6, 6, 2, 6,
6, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 8, 4, 8, 6,
4, 6, 2, 4, 14, 6, 4, 2, 10, 8, 4, 2, 4, 2, 10, 2,
10, 2, 4, 2, 12, 6, 6, 4, 6, 6, 2, 6, 4, 8, 4, 6,
8, 6, 4, 6, 8, 10, 6, 12, 2, 6, 6, 4, 2, 4, 8, 6,
4, 2, 4, 2, 10, 12, 2, 6, 4, 6, 2, 6, 4, 2, 10, 6,
8, 4, 8, 10, 8, 4, 6, 2, 4, 8, 10, 8, 4, 14, 6, 4,
2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 6, 8, 6,
4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 4,
8, 6, 12, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 12,
2, 10, 2, 6, 10, 2, 10, 6, 6, 8, 6, 4, 2, 6, 4, 6,
8, 4, 6, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4, 12,
2, 6, 10, 12, 2, 10, 2, 6, 4, 6, 2, 6, 6, 10, 6, 2,
10, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4,
6, 2, 12, 4, 2, 4, 8, 10, 2, 6, 10, 2, 16, 2, 4, 6,
2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4,
2, 12, 6, 4, 6, 2, 10, 2, 6, 6, 10, 6, 8, 4, 2, 4,
2, 10, 14, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 10, 8, 4,
14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6,
4, 6, 2, 6, 4, 6, 14, 12, 4, 2, 4, 6, 2, 6, 4, 2,
4, 6, 6, 12, 2, 6, 4, 6, 8, 6, 4, 2, 18, 4, 6, 12,
2, 6, 6, 4, 6, 6, 2, 12, 4, 2, 12, 10, 2, 4, 2, 4,
6, 2, 6, 4, 6, 6, 14, 4, 2, 6, 4, 6, 8, 4, 2, 4,
6, 8, 6, 12, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2,
6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 6,
4, 2, 6, 22, 2, 4, 6, 8, 6, 4, 6, 2, 4, 6, 2, 16,
2, 4, 6, 2, 12, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 6,
4, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 6, 4, 8, 6,
4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2,
10, 12, 2, 4, 2, 4, 8, 6, 4, 6, 12, 2, 6, 4, 12, 6,
8, 4, 2, 4, 2, 4, 8, 6, 10, 6, 6, 2, 12, 4, 2, 4,
8, 6, 4, 2, 4, 2, 12, 10, 2, 6, 4, 6, 2, 10, 2, 4,
6, 6, 8, 6, 6, 10, 8, 4, 6, 2, 4, 8, 10, 6, 6, 8,
6, 6, 4, 2, 10, 8, 4, 6, 2, 10, 2, 10, 2, 4, 2, 10,
8, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 6, 4, 2,
4, 8, 10, 8, 4, 6, 2, 6, 6, 6, 4, 14, 4, 2, 4, 2,
10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 10, 8, 6, 4, 8,
4, 6, 8, 4, 6, 2, 4, 8, 10, 6, 2, 4, 6, 8, 6, 4,
6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6,
4, 2, 16, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 18, 4, 6,
2, 4, 8, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10,
8, 4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 2, 10, 6, 8, 6,
4, 2, 4, 14, 4, 6, 2, 4, 8, 6, 6, 6, 10, 2, 6, 4,
2, 4, 12, 12, 2, 4, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10,
2, 6, 4, 14, 4, 2, 4, 6, 8, 6, 4, 6, 2, 10, 2, 6,
6, 4, 2, 4, 6, 2, 6, 4, 2, 16, 18, 2, 4, 6, 2, 6,
4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2,
4, 14, 4, 8, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2,
12, 12, 4, 2, 4, 8, 10, 6, 6, 6, 2, 6, 4, 2, 6, 4,
18, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 6, 4, 6,
2, 6, 4, 18, 2, 10, 2, 4, 2, 10, 8, 4, 2, 4, 12, 8,
4, 2, 6, 4, 6, 12, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2,
6, 10, 2, 4, 6, 2, 6, 10, 2, 10, 2, 10, 2, 10, 6, 2,
6, 6, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4,
8, 6, 4, 8, 4, 6, 8, 10, 2, 10, 2, 10, 2, 4, 2, 10,
2, 12, 4, 2, 4, 14, 4, 2, 4, 6, 6, 2, 6, 4, 18, 8,
4, 2, 4, 14, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6,
12, 2, 4, 2, 10, 2, 10, 2, 6, 4, 8, 6, 4, 2, 4, 6,
6, 8, 4, 8, 10, 8, 4, 2, 6, 4, 8, 10, 6, 2, 4, 8,
6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 22, 2, 4, 2, 4,
6, 2, 6, 4, 2, 4, 12, 2, 12, 10, 6, 8, 6, 4, 2, 4,
8, 6, 12, 4, 6, 2, 12, 4, 6, 6, 8, 4, 2, 4, 2, 12,
10, 2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 14, 4, 2, 6, 4,
6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10,
6, 6, 8, 6, 6, 10, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2,
10, 6, 2, 6, 4, 2, 6, 4, 14, 6, 4, 2, 12, 10, 6, 2,
4, 6, 2, 12, 4, 2, 4, 8, 6, 6, 4, 2, 10, 2, 10, 6,
2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 18, 8, 6, 4,
2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 6, 4, 6, 2, 6,
4, 2, 4, 2, 10, 12, 2, 4, 12, 2, 6, 4, 6, 6, 6, 2,
12, 6, 4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6,
6, 4, 2, 4, 8, 6, 4, 2, 4, 12, 2, 12, 6, 4, 6, 2,
10, 6, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4,
14, 4, 6, 12, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 14, 10,
2, 4, 2, 4, 6, 8, 10, 6, 6, 2, 10, 2, 6, 4, 6, 8,
4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 6, 4, 6,
2, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6, 8, 4, 2, 4,
14, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 10, 6, 2,
10, 2, 6, 10, 6, 6, 2, 6, 4, 2, 4, 2, 10, 2, 12, 4,
6, 6, 2, 12, 4, 12, 2, 6, 4, 2, 6, 4, 14, 4, 2, 6,
4, 14, 4, 6, 2, 4, 6, 8, 6, 6, 10, 2, 6, 4, 6, 2,
10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 10, 6, 8, 4, 8, 4,
6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 8, 6, 6, 4, 2,
4, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6,
6, 4, 6, 14, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8, 10, 8,
12, 6, 10, 2, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2, 4, 2,
4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 6, 6, 10, 8, 4, 6,
6, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 6, 12, 2,
4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 10, 2, 4, 6, 8, 6,
4, 2, 6, 4, 6, 12, 8, 4, 8, 6, 10, 2, 4, 6, 2, 6,
6, 4, 6, 6, 2, 6, 6, 4, 12, 12, 2, 4, 2, 10, 2, 6,
4, 2, 16, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 2, 12, 6,
10, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 6, 2, 12, 10,
8, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6,
8, 10, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 12, 2, 4, 2, 10, 14, 4, 2, 10, 2, 6, 4, 2, 4, 6,
6, 2, 10, 2, 10, 14, 6, 4, 2, 12, 10, 6, 2, 4, 6, 2,
6, 6, 4, 2, 4, 14, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6,
2, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 6,
4, 14, 4, 6, 2, 10, 8, 6, 4, 2, 4, 6, 2, 10, 2, 4,
2, 12, 10, 2, 4, 6, 6, 2, 6, 4, 6, 6, 6, 2, 12, 6,
4, 6, 14, 4, 6, 8, 6, 10, 2, 4, 8, 6, 6, 4, 6, 6,
2, 6, 4, 2, 6, 10, 2, 10, 2, 6, 4, 6, 8, 4, 6, 12,
8, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 14, 4, 6, 2, 4,
6, 2, 6, 10, 2, 10, 2, 6, 4, 2, 16, 2, 10, 2, 4, 6,
6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 6,
4, 8, 6, 4, 6, 2, 4, 6, 14, 4, 2, 10, 2, 6, 6, 6,
10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4,
8, 10, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6, 12, 8, 6, 4,
6, 6, 2, 6, 4, 2, 4, 2, 10, 2, 12, 6, 4, 6, 2, 10,
6, 6, 6, 8, 4, 2, 6, 18, 4, 2, 4, 2, 4, 8, 10, 6,
2, 4, 8, 6, 6, 6, 4, 8, 6, 4, 6, 2, 10, 2, 10, 2,
4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 8, 6, 6, 4, 6, 8,
4, 2, 4, 2, 12, 6, 4, 12, 6, 2, 6, 6, 4, 2, 10, 8,
6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 12, 2, 4, 6, 8,
6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4,
6, 2, 6, 16, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2,
4, 6, 8, 4, 2, 10, 8, 6, 4, 2, 6, 10, 8, 4, 2, 4,
14, 10, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 10, 2, 4, 2,
10, 2, 10, 6, 6, 8, 6, 4, 2, 4, 12, 2, 6, 4, 2, 10,
6, 8, 6, 6, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 2, 6, 4, 2, 4, 2, 10, 12, 6, 2, 10, 2, 6, 4, 2,
16, 2, 10, 2, 10, 14, 4, 2, 4, 2, 4, 8, 6, 10, 2, 4,
8, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 14, 12, 4, 2, 4,
6, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
6, 6, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 12, 2,
4, 2, 22, 2, 4, 2, 10, 2, 6, 4, 6, 6, 6, 2, 6, 4,
2, 6, 4, 6, 8, 10, 6, 8, 18, 4, 6, 2, 6, 6, 4, 2,
4, 8, 6, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2,
16, 2, 6, 4, 8, 4, 6, 12, 2, 4, 2, 4, 8, 6, 10, 2,
4, 6, 8, 10, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 10, 2,
4, 12, 2, 6, 6, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2,
6, 4, 8, 6, 4, 6, 2, 4, 14, 6, 4, 2, 10, 2, 6, 4,
6, 2, 10, 2, 10, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6,
4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 6, 6, 2,
6, 6, 4, 2, 10, 2, 10, 2, 4, 12, 2, 12, 6, 4, 6, 2,
6, 6, 4, 6, 6, 12, 2, 16, 8, 4, 2, 4, 2, 12, 10, 6,
2, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 8, 10, 2, 10, 6,
2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 12, 4, 6, 8,
4, 2, 6, 4, 8, 6, 4, 8, 10, 2, 6, 6, 4, 6, 6, 8,
4, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8,
10, 2, 6, 4, 14, 10, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2,
6, 6, 10, 6, 2, 6, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6,
2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4,
2, 12, 6, 4, 6, 6, 6, 2, 16, 2, 4, 8, 6, 6, 6, 10,
2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 4, 2,
10, 14, 6, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 18, 4, 6,
2, 6, 6, 4, 2, 10, 12, 2, 4, 2, 10, 8, 4, 2, 4, 6,
6, 2, 10, 2, 6, 18, 4, 2, 4, 6, 8, 6, 4, 6, 2, 4,
6, 8, 6, 4, 2, 4, 6, 2, 10, 2, 4, 12, 2, 12, 4, 2,
4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
2, 6, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 8, 10,
2, 4, 2, 22, 2, 4, 2, 4, 6, 2, 10, 6, 12, 2, 6, 6,
10, 6, 8, 4, 2, 4, 6, 8, 6, 10, 6, 6, 2, 12, 4, 2,
10, 2, 6, 4, 2, 6, 12, 10, 2, 4, 2, 4, 6, 8, 4, 2,
4, 12, 2, 6, 4, 2, 6, 4, 6, 12, 6, 2, 4, 8, 6, 4,
6, 2, 4, 6, 2, 6, 12, 4, 6, 8, 4, 2, 4, 2, 10, 2,
10, 2, 4, 12, 2, 6, 6, 4, 6, 8, 6, 4, 2, 6, 4, 6,
8, 6, 6, 4, 8, 10, 6, 2, 4, 6, 8, 6, 4, 2, 12, 6,
4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 16, 2,
6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 6, 6,
8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 12,
6, 2, 6, 4, 2, 10, 6, 8, 6, 6, 10, 12, 2, 4, 2, 4,
8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6,
2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 10, 6, 6, 2, 6, 6,
6, 4, 6, 8, 4, 2, 4, 6, 14, 4, 8, 10, 2, 6, 6, 4,
2, 10, 8, 4, 2, 4, 12, 12, 2, 4, 2, 4, 6, 2, 12, 4,
6, 8, 10, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 8,
4, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6, 6, 10, 2, 10, 6,
2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 12,
2, 4, 2, 12, 6, 10, 2, 10, 2, 12, 4, 6, 8, 6, 4, 2,
4, 12, 2, 16, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2,
10, 14, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6,
6, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2, 6, 10, 2, 6, 4,
2, 4, 6, 6, 12, 2, 6, 4, 14, 4, 2, 4, 2, 12, 6, 4,
6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 12, 4, 12, 2, 12,
4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 6,
8, 4, 2, 4, 2, 18, 4, 8, 10, 2, 6, 10, 2, 4, 6, 12,
2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 8, 4, 6, 6, 6, 2,
6, 4, 8, 10, 8, 4, 2, 10, 8, 6, 10, 2, 4, 6, 2, 6,
6, 4, 2, 4, 6, 2, 10, 2, 6, 12, 10, 2, 4, 2, 4, 14,
4, 2, 4, 12, 2, 10, 2, 6, 4, 6, 14, 6, 4, 8, 6, 4,
6, 2, 4, 6, 2, 6, 10, 6, 6, 2, 6, 4, 2, 4, 2, 10,
12, 2, 4, 6, 6, 2, 6, 6, 4, 12, 8, 4, 2, 10, 6, 8,
4, 2, 6, 4, 8, 6, 10, 2, 4, 6, 18, 2, 10, 2, 6, 4,
2, 6, 12, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2,
6, 4, 8, 4, 14, 4, 6, 2, 4, 8, 6, 4, 6, 6, 6, 2,
12, 4, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10, 2, 6, 10, 2,
6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 6, 4, 2, 4,
8, 10, 6, 2, 4, 14, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10,
2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 12, 6, 2, 6, 12, 4,
6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 8, 6, 4,
2, 4, 14, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 10,
2, 4, 6, 8, 6, 6, 6, 4, 6, 12, 6, 2, 4, 8, 6, 4,
6, 6, 8, 6, 6, 4, 12, 2, 6, 6, 4, 2, 10, 2, 10, 2,
6, 4, 6, 8, 4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
2, 4, 2, 18, 4, 6, 2, 4, 6, 2, 12, 6, 12, 6, 4, 2,
4, 12, 2, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 8, 10, 2,
10, 6, 8, 6, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6,
6, 4, 6, 2, 6, 4, 2, 6, 10, 12, 6, 12, 2, 6, 4, 2,
4, 12, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6,
2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 4, 12, 2, 16,
2, 4, 6, 2, 10, 2, 10, 6, 2, 6, 4, 2, 6, 4, 14, 4,
2, 4, 2, 4, 14, 4, 6, 2, 12, 6, 6, 6, 4, 6, 2, 10,
6, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 10, 6, 6, 8, 4,
2, 6, 4, 6, 8, 4, 2, 4, 14, 6, 10, 12, 2, 6, 6, 4,
2, 4, 6, 2, 6, 6, 6, 10, 12, 2, 4, 2, 4, 6, 8, 4,
2, 4, 14, 6, 4, 2, 6, 4, 6, 12, 6, 2, 4, 8, 6, 4,
8, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10,
2, 10, 2, 4, 6, 14, 6, 4, 6, 6, 2, 6, 4, 2, 6, 10,
12, 2, 10, 8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10,
2, 4, 12, 2, 10, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2,
6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6,
2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2, 6,
4, 6, 2, 6, 4, 2, 4, 12, 8, 4, 2, 16, 8, 4, 2, 4,
2, 4, 8, 16, 2, 4, 8, 12, 4, 2, 4, 6, 2, 10, 6, 2,
12, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6,
10, 6, 8, 4, 6, 2, 12, 6, 4, 8, 4, 6, 2, 6, 6, 4,
2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2,
10, 2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 12, 4, 8, 10, 6,
2, 4, 6, 2, 6, 6, 4, 6, 8, 6, 6, 4, 2, 12, 10, 2,
4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 10, 8, 4, 6, 8,
6, 4, 2, 12, 6, 4, 6, 2, 4, 6, 14, 4, 6, 8, 6, 4,
2, 4, 2, 10, 2, 10, 6, 6, 6, 2, 6, 4, 2, 4, 6, 6,
8, 6, 10, 6, 14, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6,
12, 4, 6, 2, 6, 4, 2, 6, 10, 12, 2, 6, 10, 2, 6, 4,
6, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4,
6, 2, 4, 6, 2, 12, 4, 2, 10, 2, 6, 6, 4, 12, 2, 12,
4, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 10, 8,
4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 8, 6, 4, 2, 4, 6,
2, 10, 2, 6, 12, 10, 6, 2, 4, 6, 2, 6, 4, 6, 6, 6,
2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2,
10, 2, 6, 6, 4, 6, 8, 6, 4, 2, 6, 10, 2, 12, 4, 2,
4, 6, 12, 2, 4, 12, 2, 6, 6, 6, 4, 18, 2, 4, 2, 4,
8, 6, 4, 6, 6, 6, 2, 6, 12, 10, 2, 6, 4, 6, 2, 10,
2, 10, 2, 4, 6, 6, 8, 6, 4, 6, 6, 8, 4, 2, 6, 4,
6, 8, 4, 2, 6, 12, 6, 4, 6, 6, 6, 8, 6, 6, 10, 2,
6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4,
6, 8, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 10, 12,
6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10,
2, 10, 6, 8, 4, 2, 4, 12, 8, 4, 2, 6, 10, 8, 4, 2,
4, 6, 18, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 10, 6,
2, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 6,
6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 8, 4, 8, 6, 6,
4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 6,
2, 12, 4, 14, 6, 4, 2, 10, 6, 8, 4, 6, 6, 8, 6, 10,
2, 10, 2, 12, 4, 6, 6, 2, 6, 6, 4, 2, 22, 2, 4, 2,
4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8,
4, 6, 2, 12, 6, 4, 8, 4, 6, 2, 12, 4, 2, 4, 14, 4,
2, 4, 2, 10, 2, 10, 6, 2, 12, 6, 4, 2, 4, 6, 6, 2,
6, 4, 2, 10, 6, 14, 4, 2, 4, 8, 16, 2, 4, 6, 2, 6,
6, 6, 4, 8, 6, 4, 2, 4, 12, 12, 2, 4, 2, 10, 2, 6,
4, 2, 10, 6, 2, 10, 8, 4, 14, 4, 2, 4, 2, 4, 8, 6,
4, 6, 2, 4, 6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 6, 12,
2, 12, 10, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4,
6, 12, 2, 4, 2, 4, 14, 4, 6, 2, 12, 6, 6, 4, 2, 4,
6, 2, 10, 2, 4, 2, 12, 12, 6, 4, 6, 2, 6, 4, 6, 6,
6, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 20, 10, 2, 4, 6,
2, 6, 6, 4, 2, 10, 8, 4, 2, 16, 2, 10, 2, 4, 2, 4,
6, 8, 6, 4, 12, 2, 10, 8, 4, 6, 12, 2, 6, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6,
12, 10, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4,
6, 8, 6, 6, 4, 8, 6, 4, 6, 2, 10, 8, 6, 4, 12, 2,
6, 4, 2, 4, 2, 10, 2, 12, 4, 2, 4, 8, 10, 2, 4, 6,
6, 8, 4, 8, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 6,
6, 2, 6, 12, 4, 6, 2, 6, 4, 8, 10, 2, 10, 2, 6, 4,
6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 18, 4, 2, 4,
2, 12, 10, 6, 6, 8, 12, 4, 2, 4, 6, 2, 6, 10, 2, 10,
2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 6,
6, 10, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 8, 10,
2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6,
12, 6, 6, 8, 6, 4, 2, 6, 10, 8, 4, 6, 6, 8, 6, 4,
6, 2, 4, 6, 2, 6, 6, 4, 6, 8, 12, 4, 2, 10, 2, 10,
2, 4, 2, 4, 8, 10, 2, 10, 6, 2, 6, 6, 6, 4, 6, 8,
4, 2, 6, 12, 6, 4, 6, 6, 6, 2, 12, 4, 2, 12, 6, 4,
2, 4, 2, 10, 12, 6, 2, 4, 6, 8, 4, 2, 4, 12, 2, 6,
4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2,
12, 6, 4, 6, 2, 6, 4, 2, 4, 2, 22, 2, 4, 2, 10, 2,
6, 4, 2, 4, 6, 8, 10, 2, 6, 4, 14, 4, 6, 2, 4, 8,
10, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4,
12, 2, 12, 4, 12, 2, 6, 4, 2, 4, 12, 2, 6, 4, 2, 6,
4, 6, 8, 6, 4, 2, 4, 18, 6, 2, 10, 2, 6, 6, 4, 2,
4, 8, 10, 2, 4, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4, 12,
6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2,
4, 14, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2,
4, 6, 6, 8, 6, 4, 12, 2, 6, 6, 6, 4, 6, 12, 2, 4,
6, 8, 6, 4, 6, 2, 12, 6, 10, 2, 4, 6, 2, 6, 4, 2,
4, 2, 10, 12, 2, 10, 6, 2, 6, 10, 6, 6, 2, 6, 4, 2,
6, 4, 6, 8, 4, 8, 4, 14, 4, 8, 4, 6, 8, 6, 4, 2,
10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 4, 2, 4, 8, 6, 6,
4, 6, 6, 2, 10, 8, 4, 6, 12, 2, 4, 2, 4, 8, 6, 10,
6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 16, 2, 10,
8, 10, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4,
2, 4, 2, 4, 8, 10, 6, 2, 12, 6, 6, 4, 6, 6, 2, 6,
4, 6, 2, 10, 2, 12, 6, 4, 6, 2, 10, 2, 4, 6, 6, 2,
6, 6, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6,
2, 6, 6, 6, 4, 6, 12, 6, 2, 10, 2, 12, 4, 2, 4, 6,
2, 10, 2, 4, 6, 14, 4, 2, 10, 6, 8, 4, 6, 2, 12, 6,
4, 6, 6, 6, 2, 6, 6, 4, 6, 6, 8, 6, 4, 2, 10, 2,
10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 8, 6, 4, 8, 4,
6, 8, 4, 2, 6, 12, 6, 4, 8, 4, 6, 2, 16, 2, 4, 8,
6, 4, 2, 4, 2, 12, 10, 6, 2, 4, 6, 8, 4, 2, 4, 6,
6, 2, 10, 2, 16, 8, 6, 4, 6, 8, 6, 4, 6, 2, 4, 6,
2, 6, 6, 10, 6, 2, 10, 2, 4, 2, 10, 12, 2, 4, 2, 12,
6, 4, 2, 4, 6, 6, 12, 2, 6, 4, 14, 4, 2, 6, 4, 8,
6, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2,
16, 14, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 6, 4, 2,
10, 14, 4, 2, 4, 2, 4, 14, 10, 2, 10, 2, 12, 4, 2, 4,
6, 2, 12, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 6,
6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 6, 6, 8, 6, 10, 2,
4, 6, 8, 6, 4, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 2,
4, 2, 10, 8, 4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 14, 4,
2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 10, 2, 4, 8, 6, 4,
2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 12, 10, 6, 2, 6,
12, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6, 8, 6,
4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 14,
4, 2, 4, 6, 6, 2, 6, 12, 4, 6, 12, 2, 4, 2, 4, 8,
6, 4, 6, 6, 8, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2,
10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6, 14, 4, 2, 6,
10, 8, 4, 2, 4, 2, 4, 18, 6, 2, 4, 8, 6, 6, 4, 2,
10, 2, 6, 4, 6, 12, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4,
12, 2, 12, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 8, 4,
6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 6,
2, 4, 6, 2, 10, 2, 10, 8, 6, 4, 2, 6, 4, 6, 8, 4,
6, 2, 4, 8, 6, 4, 6, 2, 12, 6, 6, 4, 6, 6, 2, 6,
6, 4, 2, 10, 2, 12, 4, 2, 4, 6, 2, 12, 10, 6, 2, 6,
4, 2, 6, 4, 14, 4, 2, 4, 14, 6, 4, 6, 2, 10, 2, 12,
6, 4, 8, 6, 4, 6, 2, 10, 12, 6, 2, 4, 6, 2, 6, 4,
2, 4, 6, 6, 8, 4, 2, 10, 6, 8, 10, 2, 12, 6, 4, 12,
6, 2, 6, 6, 6, 4, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4,
2, 12, 6, 4, 2, 4, 6, 8, 10, 2, 6, 4, 18, 2, 4, 2,
4, 8, 6, 12, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2,
4, 12, 2, 12, 4, 2, 10, 8, 4, 2, 4, 6, 6, 2, 6, 4,
2, 6, 10, 8, 4, 2, 4, 6, 14, 4, 6, 2, 10, 2, 6, 6,
4, 2, 4, 6, 2, 10, 6, 2, 12, 10, 2, 6, 4, 8, 6, 4,
6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 10, 8, 6,
10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6, 10,
14, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 10, 6,
12, 2, 4, 2, 12, 6, 10, 2, 4, 6, 2, 16, 2, 4, 6, 8,
4, 2, 4, 2, 12, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 6,
2, 6, 4, 8, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6, 2, 4,
6, 8, 6, 4, 2, 10, 8, 4, 2, 4, 2, 12, 10, 2, 4, 2,
12, 6, 4, 2, 4, 6, 6, 2, 10, 8, 4, 6, 8, 6, 4, 2,
4, 8, 10, 6, 6, 6, 2, 6, 6, 4, 6, 8, 6, 4, 2, 4,
2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 10, 6, 8, 4,
8, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 14, 10, 2,
4, 6, 2, 6, 4, 8, 10, 2, 10, 2, 4, 6, 6, 2, 6, 4,
2, 4, 6, 6, 2, 6, 6, 6, 4, 18, 2, 4, 2, 4, 8, 6,
4, 8, 4, 8, 12, 4, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10,
2, 6, 4, 6, 2, 10, 6, 6, 8, 6, 4, 2, 6, 10, 8, 4,
6, 2, 4, 14, 4, 6, 2, 4, 6, 8, 6, 4, 12, 2, 6, 6,
4, 12, 2, 10, 2, 4, 2, 4, 6, 2, 6, 16, 6, 2, 10, 2,
6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 6, 2,
12, 4, 2, 4, 8, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6,
2, 10, 2, 4, 6, 6, 2, 6, 6, 10, 6, 8, 6, 4, 2, 4,
8, 6, 4, 6, 12, 2, 6, 6, 16, 2, 6, 4, 2, 4, 2, 10,
14, 4, 2, 10, 12, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4,
2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 2, 6, 4, 6, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2,
4, 6, 14, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 22, 6, 12,
2, 6, 6, 4, 2, 4, 6, 2, 12, 4, 2, 12, 10, 2, 4, 6,
6, 2, 6, 4, 6, 14, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4,
6, 14, 12, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6,
10, 2, 10, 6, 2, 4, 6, 8, 4, 2, 16, 2, 6, 4, 2, 6,
10, 12, 2, 4, 6, 8, 6, 4, 6, 2, 4, 8, 6, 10, 2, 4,
6, 2, 10, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 6, 4,
6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 10, 8, 6, 4,
6, 2, 10, 8, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 12,
2, 4, 2, 4, 8, 6, 4, 2, 4, 12, 2, 6, 4, 12, 6, 8,
4, 6, 2, 4, 8, 6, 16, 6, 2, 12, 4, 2, 4, 6, 2, 6,
4, 2, 4, 2, 12, 10, 2, 6, 4, 8, 6, 4, 2, 4, 6, 6,
8, 4, 2, 6, 10, 12, 6, 2, 4, 8, 16, 2, 4, 8, 6, 6,
4, 2, 4, 6, 8, 4, 6, 12, 2, 10, 2, 4, 2, 10, 2, 6,
4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 6, 4, 2, 4,
8, 10, 8, 4, 6, 2, 6, 6, 4, 2, 4, 14, 4, 6, 2, 10,
2, 10, 2, 6, 4, 6, 2, 10, 2, 10, 8, 6, 4, 8, 4, 6,
8, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 6,
6, 2, 12, 4, 2, 10, 2, 12, 4, 6, 6, 2, 6, 4, 2, 10,
6, 2, 6, 6, 10, 6, 12, 2, 4, 2, 12, 6, 4, 6, 2, 4,
8, 12, 4, 2, 4, 14, 4, 2, 4, 2, 10, 2, 10, 8, 4, 6,
2, 6, 4, 6, 6, 6, 2, 6, 4, 12, 6, 8, 6, 6, 4, 14,
4, 6, 2, 4, 6, 2, 6, 6, 6, 10, 2, 6, 4, 2, 4, 24,
2, 4, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 14,
6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6,
6, 2, 6, 4, 2, 16, 2, 16, 2, 4, 6, 2, 6, 4, 2, 4,
6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4,
6, 2, 10, 2, 6, 10, 6, 6, 2, 10, 2, 6, 12, 12, 4, 2,
4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2,
4, 6, 8, 6, 10, 2, 4, 6, 2, 12, 6, 4, 6, 2, 6, 12,
10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 8, 4, 2,
6, 10, 12, 2, 4, 2, 12, 6, 4, 6, 6, 6, 8, 10, 2, 4,
6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 10,
6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4,
8, 4, 6, 8, 10, 2, 12, 6, 4, 2, 4, 2, 10, 2, 10, 2,
4, 2, 4, 18, 2, 4, 6, 6, 2, 6, 12, 10, 8, 4, 2, 4,
6, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2,
4, 2, 10, 2, 10, 2, 6, 4, 14, 4, 2, 4, 6, 6, 8, 4,
2, 6, 10, 8, 4, 2, 6, 4, 8, 10, 6, 2, 4, 8, 6, 6,
6, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2, 4, 2, 4, 6, 2,
6, 4, 2, 4, 14, 6, 6, 10, 6, 8, 4, 2, 4, 2, 4, 8,
18, 4, 6, 2, 12, 4, 2, 4, 6, 8, 4, 2, 4, 2, 12, 10,
2, 4, 6, 6, 2, 10, 2, 4, 14, 6, 4, 2, 6, 4, 6, 8,
4, 6, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6,
8, 6, 4, 2, 10, 2, 10, 6, 2, 10, 2, 6, 4, 2, 10, 6,
2, 6, 4, 2, 6, 4, 6, 8, 6, 4, 2, 12, 10, 6, 2, 4,
8, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 2,
4, 6, 2, 6, 6, 10, 6, 2, 6, 4, 12, 6, 8, 6, 4, 6,
8, 6, 4, 6, 2, 10, 8, 6, 6, 4, 6, 2, 6, 4, 2, 4,
2, 10, 12, 2, 4, 12, 2, 6, 4, 2, 4, 6, 6, 2, 12, 6,
4, 18, 6, 2, 4, 8, 6, 4, 8, 4, 8, 6, 6, 4, 2, 4,
6, 2, 6, 4, 2, 4, 12, 2, 12, 6, 4, 8, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 14, 10, 2,
10, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 14, 10, 2, 4, 2,
10, 2, 6, 10, 6, 6, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4,
6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6,
4, 8, 10, 2, 10, 8, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4,
2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2,
6, 10, 6, 6, 2, 10, 2, 4, 2, 10, 2, 12, 4, 6, 6, 2,
12, 4, 6, 6, 2, 6, 4, 2, 10, 14, 4, 2, 6, 12, 6, 4,
6, 2, 4, 6, 8, 6, 6, 10, 8, 4, 6, 2, 10, 2, 10, 2,
4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 8, 4, 6, 8,
4, 2, 6, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6,
2, 6, 6, 4, 2, 12, 10, 2, 6, 4, 6, 2, 6, 4, 2, 4,
6, 18, 2, 6, 10, 8, 6, 4, 2, 4, 8, 10, 8, 4, 8, 6,
10, 6, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6,
8, 4, 2, 4, 6, 6, 8, 6, 6, 10, 8, 4, 2, 4, 6, 8,
6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 12, 2, 6, 10, 2,
10, 2, 4, 2, 4, 8, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4,
14, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6, 2, 12, 4, 6, 6,
2, 6, 6, 4, 2, 10, 12, 2, 4, 2, 4, 6, 2, 6, 4, 2,
16, 2, 6, 4, 2, 16, 8, 4, 2, 4, 2, 12, 6, 10, 2, 4,
6, 14, 4, 2, 4, 8, 6, 4, 2, 4, 2, 12, 10, 6, 2, 4,
6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 10, 6, 8, 10, 2,
4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 14, 4, 2,
4, 2, 10, 12, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 12,
6, 4, 14, 6, 4, 2, 4, 8, 10, 6, 6, 6, 2, 6, 6, 4,
2, 12, 6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 8, 4, 2,
10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4,
6, 2, 10, 8, 6, 6, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2,
4, 6, 6, 2, 6, 4, 6, 6, 8, 6, 6, 6, 4, 6, 12, 2,
4, 6, 8, 16, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4,
2, 6, 10, 2, 10, 2, 10, 6, 8, 4, 6, 12, 2, 6, 4, 2,
6, 4, 6, 12, 2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6,
10, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 6, 6, 6, 2, 6,
6, 10, 6, 2, 10, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6,
4, 6, 2, 4, 14, 6, 4, 2, 10, 2, 6, 4, 2, 6, 10, 2,
10, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 6, 4, 8, 4, 6,
8, 4, 2, 4, 6, 8, 6, 4, 6, 12, 2, 6, 6, 4, 6, 6,
2, 6, 4, 2, 4, 2, 10, 14, 6, 4, 6, 2, 10, 2, 4, 6,
6, 8, 4, 2, 6, 18, 4, 6, 2, 4, 8, 10, 8, 4, 8, 6,
6, 6, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4,
8, 6, 4, 2, 4, 6, 6, 8, 6, 6, 4, 6, 12, 2, 4, 2,
12, 6, 16, 6, 2, 6, 6, 4, 2, 4, 6, 8, 6, 4, 12, 2,
10, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4,
6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 6,
6, 2, 6, 10, 2, 10, 2, 10, 2, 6, 4, 6, 8, 4, 2, 10,
6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 14, 6, 4, 6, 2,
4, 6, 2, 12, 4, 2, 4, 8, 10, 2, 4, 2, 10, 2, 16, 2,
4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6,
6, 12, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 8, 4,
2, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2,
10, 12, 14, 4, 2, 6, 4, 8, 6, 10, 2, 4, 6, 2, 12, 4,
2, 4, 6, 2, 6, 4, 2, 4, 14, 12, 4, 2, 4, 6, 2, 6,
4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 6, 8, 10, 2, 4, 14,
4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 12, 2, 4, 2, 12, 10,
2, 4, 2, 10, 2, 6, 4, 6, 6, 6, 8, 4, 2, 6, 4, 6,
8, 6, 4, 6, 8, 16, 2, 4, 6, 2, 6, 10, 2, 4, 8, 6,
4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 16, 2,
6, 4, 8, 4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6,
18, 2, 4, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 6, 6,
2, 6, 6, 4, 6, 6, 2, 6, 6, 6, 10, 12, 2, 6, 4, 8,
6, 4, 6, 2, 4, 14, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2,
10, 2, 10, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 8,
4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 6, 6, 2, 6, 6,
4, 2, 12, 6, 4, 2, 4, 12, 2, 10, 2, 6, 4, 6, 2, 12,
4, 6, 6, 14, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 6,
8, 6, 6, 4, 2, 10, 2, 6, 4, 8, 10, 2, 10, 6, 2, 4,
6, 8, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2,
4, 2, 4, 8, 6, 4, 8, 10, 2, 6, 6, 10, 6, 8, 4, 2,
4, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6,
4, 2, 6, 4, 14, 4, 6, 2, 4, 8, 10, 6, 2, 4, 6, 2,
6, 6, 10, 6, 2, 6, 10, 2, 10, 2, 10, 2, 4, 6, 6, 2,
6, 4, 2, 16, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 18,
4, 6, 6, 6, 2, 12, 4, 2, 4, 8, 6, 6, 4, 2, 10, 2,
10, 6, 2, 4, 6, 2, 6, 4, 2, 10, 8, 6, 4, 2, 10, 6,
8, 6, 4, 2, 4, 8, 6, 4, 8, 4, 8, 6, 12, 4, 6, 2,
6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 8, 6, 4, 6, 6,
2, 10, 2, 6, 18, 4, 2, 4, 6, 8, 6, 4, 6, 2, 10, 2,
6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 12, 14, 4, 2, 4, 8,
6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 8,
4, 14, 4, 8, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4,
2, 22, 2, 4, 2, 4, 8, 6, 4, 6, 12, 2, 6, 4, 2, 10,
6, 12, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4,
6, 2, 6, 4, 2, 18, 10, 2, 4, 2, 10, 8, 4, 2, 4, 12,
2, 6, 4, 2, 6, 4, 6, 12, 6, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 6, 2, 10, 2, 10, 2,
16, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6,
6, 4, 8, 10, 6, 2, 4, 6, 8, 6, 4, 2, 12, 10, 2, 4,
2, 10, 2, 12, 4, 2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4,
12, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 8, 6, 4,
2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 10, 6, 2, 6,
4, 2, 4, 6, 6, 8, 12, 10, 12, 2, 6, 4, 8, 10, 6, 2,
4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 12, 10, 2,
6, 4, 6, 2, 6, 4, 6, 6, 6, 2, 12, 6, 4, 6, 8, 6,
4, 2, 4, 14, 4, 8, 4, 6, 2, 6, 6, 4, 12, 8, 4, 2,
4, 12, 2, 10, 2, 4, 2, 4, 6, 2, 12, 4, 6, 18, 2, 6,
4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6,
10, 6, 6, 2, 6, 6, 6, 10, 2, 10, 6, 2, 4, 6, 2, 6,
4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 12,
6, 4, 6, 2, 10, 2, 12, 4, 6, 8, 6, 6, 4, 2, 10, 2,
16, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 24, 6,
4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 6, 4, 6, 2,
6, 4, 6, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 6, 6, 6,
12, 2, 6, 4, 14, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2,
6, 6, 4, 2, 4, 8, 6, 6, 4, 12, 2, 12, 4, 2, 4, 6,
2, 10, 2, 4, 6, 8, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2,
4, 14, 4, 18, 2, 6, 10, 2, 10, 2, 10, 2, 4, 2, 12, 10,
2, 4, 2, 4, 6, 8, 4, 6, 6, 6, 2, 6, 4, 2, 6, 10,
8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 6, 4,
6, 2, 10, 2, 6, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 4,
14, 6, 4, 2, 6, 4, 6, 12, 2, 6, 4, 8, 10, 6, 2, 4,
6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2,
4, 6, 6, 2, 6, 6, 4, 12, 2, 6, 4, 2, 10, 6, 8, 4,
2, 6, 4, 14, 10, 2, 4, 6, 14, 4, 2, 10, 2, 6, 4, 2,
4, 2, 12, 10, 6, 2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4,
8, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 6, 8, 6, 6,
4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 6, 10, 2,
6, 6, 4, 6, 6, 8, 4, 2, 6, 10, 8, 6, 4, 6, 8, 10,
6, 2, 12, 6, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10, 12, 2,
4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 12, 4, 6, 8,
4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 8, 6, 4, 2, 4, 6,
8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 10, 2, 4, 6,
8, 6, 6, 6, 4, 6, 12, 6, 2, 4, 8, 6, 10, 2, 4, 8,
6, 6, 4, 6, 6, 2, 6, 6, 4, 12, 2, 10, 2, 6, 10, 2,
6, 4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2,
18, 4, 6, 2, 4, 6, 2, 12, 4, 2, 12, 6, 4, 6, 12, 2,
10, 8, 4, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 10, 6, 8,
6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 2, 10, 2, 6, 10, 18, 2, 10, 2, 6, 4, 2, 4, 6, 6,
2, 10, 2, 10, 14, 4, 2, 4, 2, 12, 6, 4, 6, 2, 10, 2,
6, 6, 4, 6, 6, 8, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6,
2, 10, 2, 4, 6, 6, 2, 6, 4, 8, 4, 14, 4, 2, 6, 4,
14, 4, 6, 2, 10, 2, 6, 6, 6, 4, 6, 2, 10, 6, 2, 12,
10, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6, 6, 12, 2, 6, 4,
6, 8, 6, 4, 14, 6, 10, 6, 6, 2, 6, 6, 4, 6, 6, 2,
6, 6, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 20,
4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6,
2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 4,
6, 6, 8, 6, 4, 6, 6, 2, 6, 4, 2, 6, 18, 4, 2, 10,
8, 6, 4, 6, 2, 4, 6, 14, 4, 2, 10, 2, 12, 4, 2, 10,
2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4,
8, 10, 8, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6, 8, 6, 4,
2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 6, 4, 6, 2,
6, 4, 6, 12, 8, 4, 2, 16, 8, 4, 2, 4, 2, 4, 8, 16,
2, 4, 8, 12, 4, 2, 4, 8, 6, 4, 6, 2, 12, 10, 2, 4,
2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8,
4, 6, 2, 4, 8, 6, 4, 12, 6, 2, 6, 6, 4, 2, 10, 8,
4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 10, 12, 2, 4, 6, 8,
6, 4, 2, 6, 4, 6, 8, 10, 2, 4, 8, 10, 6, 2, 4, 6,
2, 6, 6, 10, 8, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4,
6, 2, 6, 4, 2, 10, 8, 6, 4, 8, 4, 6, 8, 4, 2, 4,
2, 12, 10, 6, 2, 4, 6, 14, 4, 2, 4, 8, 6, 4, 2, 4,
2, 10, 2, 10, 6, 6, 6, 2, 6, 4, 2, 4, 12, 2, 6, 6,
10, 6, 14, 4, 2, 4, 14, 4, 6, 2, 4, 8, 6, 6, 6, 4,
6, 2, 6, 4, 2, 4, 2, 10, 12, 8, 10, 2, 6, 4, 12, 6,
2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 4,
8, 6, 6, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 12, 4, 2,
4, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 6, 8, 4,
2, 4, 6, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2,
10, 2, 6, 22, 6, 2, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6,
4, 2, 6, 4, 6, 8, 4, 6, 6, 8, 6, 12, 10, 2, 6, 6,
4, 6, 6, 2, 6, 4, 2, 6, 10, 2, 12, 4, 2, 4, 18, 2,
4, 12, 2, 6, 4, 2, 6, 4, 18, 2, 4, 2, 4, 8, 6, 10,
2, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 6, 12, 2, 10, 2,
4, 12, 2, 6, 6, 4, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4,
2, 6, 12, 6, 4, 6, 6, 6, 8, 6, 4, 2, 10, 2, 6, 10,
2, 10, 2, 10, 2, 6, 4, 8, 6, 4, 2, 4, 6, 8, 6, 4,
8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 12, 6, 2, 6,
10, 2, 4, 6, 2, 10, 2, 4, 2, 10, 2, 12, 6, 4, 6, 8,
4, 2, 4, 6, 6, 8, 4, 2, 16, 8, 4, 2, 4, 14, 10, 6,
2, 4, 8, 6, 6, 4, 2, 4, 6, 12, 6, 2, 10, 2, 10, 2,
4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 12, 4, 6, 8,
4, 2, 6, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4,
6, 8, 4, 2, 4, 2, 22, 2, 4, 2, 4, 6, 2, 10, 2, 4,
14, 10, 2, 10, 6, 8, 10, 2, 4, 8, 6, 10, 2, 4, 6, 2,
12, 4, 6, 6, 2, 6, 6, 4, 2, 12, 10, 2, 4, 2, 4, 6,
2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 4, 6, 8, 4, 6, 2,
12, 6, 4, 6, 2, 4, 6, 2, 16, 2, 4, 14, 4, 2, 6, 10,
2, 10, 6, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2,
10, 14, 6, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 12, 6, 4,
8, 6, 6, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 10,
6, 2, 10, 8, 18, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4,
6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 12, 4,
6, 6, 2, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2,
4, 2, 4, 14, 4, 6, 2, 12, 6, 6, 4, 2, 4, 8, 10, 2,
4, 2, 12, 10, 2, 6, 4, 6, 2, 10, 6, 6, 6, 2, 6, 6,
6, 4, 6, 8, 4, 2, 4, 6, 14, 10, 6, 6, 2, 6, 6, 4,
2, 10, 2, 6, 4, 2, 16, 2, 10, 2, 4, 2, 4, 6, 8, 6,
4, 12, 2, 10, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4,
6, 2, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 2, 6, 10, 2,
10, 6, 6, 6, 2, 6, 6, 4, 6, 8, 6, 4, 2, 6, 4, 6,
8, 4, 2, 6, 4, 8, 10, 6, 2, 10, 8, 6, 4, 12, 2, 6,
4, 2, 4, 2, 10, 2, 12, 4, 6, 8, 10, 2, 4, 12, 2, 6,
4, 8, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 6, 6, 2, 6,
6, 6, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 8, 4, 6, 2,
6, 4, 2, 10, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2, 12,
10, 6, 6, 8, 6, 6, 4, 2, 4, 6, 2, 6, 10, 2, 10, 2,
10, 2, 4, 2, 4, 6, 2, 6, 6, 4, 6, 8, 6, 6, 6, 4,
6, 8, 4, 2, 4, 6, 8, 6, 4, 8, 10, 2, 6, 10, 2, 4,
6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 6, 12, 2, 4,
6, 8, 6, 4, 2, 6, 10, 8, 4, 6, 6, 8, 6, 4, 8, 4,
6, 2, 6, 6, 4, 6, 6, 2, 12, 4, 2, 10, 2, 10, 2, 4,
2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 12,
2, 6, 12, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4,
2, 4, 12, 12, 6, 2, 10, 2, 6, 4, 2, 4, 12, 2, 6, 4,
2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 12,
6, 4, 6, 2, 6, 4, 6, 2, 22, 2, 6, 10, 2, 6, 4, 2,
4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 6, 2, 4, 8, 6, 4,
6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 12, 2, 4, 12, 2,
12, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10,
6, 8, 6, 4, 2, 22, 6, 2, 10, 2, 6, 6, 4, 2, 4, 18,
2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 12, 6, 2,
6, 4, 8, 4, 6, 8, 4, 2, 10, 8, 6, 10, 2, 4, 6, 8,
6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 12, 10, 2, 4, 6, 6,
8, 4, 2, 4, 12, 2, 12, 6, 4, 6, 14, 4, 2, 4, 8, 6,
4, 6, 2, 4, 8, 6, 10, 6, 6, 2, 6, 4, 2, 4, 2, 10,
2, 10, 2, 10, 6, 2, 6, 10, 6, 6, 8, 4, 2, 6, 4, 6,
8, 4, 2, 6, 4, 14, 4, 6, 2, 4, 6, 8, 10, 2, 10, 2,
6, 4, 2, 16, 2, 10, 2, 4, 2, 4, 8, 6, 6, 4, 6, 6,
2, 10, 8, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6,
2, 12, 4, 2, 4, 6, 2, 6, 6, 6, 10, 2, 10, 8, 4, 6,
2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4,
2, 4, 8, 10, 6, 2, 18, 6, 4, 6, 6, 2, 6, 4, 6, 2,
10, 2, 12, 4, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 6, 6,
4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6,
6, 4, 14, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10,
2, 4, 6, 14, 6, 6, 4, 6, 8, 4, 6, 2, 12, 6, 4, 6,
6, 6, 2, 6, 6, 4, 12, 2, 6, 6, 4, 2, 10, 2, 10, 2,
4, 2, 4, 6, 8, 4, 2, 10, 8, 6, 4, 2, 6, 4, 6, 8,
4, 2, 4, 2, 12, 6, 4, 8, 4, 6, 2, 18, 4, 8, 6, 4,
2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 8, 4, 2, 4, 6, 8,
6, 4, 2, 16, 8, 6, 4, 6, 8, 10, 6, 2, 4, 6, 2, 6,
6, 6, 4, 6, 2, 10, 2, 4, 2, 10, 12, 2, 4, 14, 6, 4,
2, 4, 12, 2, 10, 2, 6, 4, 14, 4, 2, 6, 4, 14, 4, 6,
2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12,
18, 2, 4, 6, 2, 6, 4, 2, 16, 2, 6, 4, 2, 10, 6, 8,
4, 2, 4, 2, 4, 14, 10, 2, 12, 12, 4, 2, 4, 6, 2, 10,
2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 10, 6, 6, 2,
6, 4, 2, 6, 4, 6, 8, 4, 6, 6, 8, 6, 10, 2, 10, 2,
6, 6, 4, 2, 4, 6, 8, 4, 2, 6, 10, 12, 2, 4, 2, 10,
8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 18, 2, 4, 8,
10, 8, 4, 6, 2, 6, 10, 2, 4, 8, 6, 4, 2, 4, 2, 10,
2, 10, 2, 4, 6, 8, 6, 6, 10, 6, 2, 6, 4, 8, 4, 6,
12, 2, 6, 4, 8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 10, 2,
6, 4, 2, 4, 12, 2, 10, 2, 4, 14, 6, 4, 2, 4, 6, 6,
2, 6, 12, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 6, 8,
6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 6,
4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2,
4, 2, 4, 18, 6, 2, 4, 8, 6, 6, 4, 2, 10, 2, 10, 6,
12, 2, 12, 4, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 12, 10,
6, 8, 4, 2, 4, 2, 12, 6, 4, 8, 4, 6, 2, 6, 6, 4,
2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6, 2, 10,
2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 4, 8, 4, 8, 6, 4,
6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 6, 4, 2, 12, 12,
4, 2, 4, 6, 2, 10, 2, 10, 6, 2, 10, 2, 6, 4, 14, 6,
4, 2, 12, 6, 4, 6, 2, 4, 6, 2, 12, 10, 8, 6, 4, 6,
2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8,
4, 2, 10, 6, 8, 6, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6,
12, 4, 6, 2, 6, 6, 6, 10, 12, 2, 4, 2, 10, 2, 6, 4,
2, 4, 6, 8, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6,
4, 8, 4, 6, 2, 16, 2, 4, 6, 2, 6, 6, 4, 12, 2, 12,
4, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 10,
8, 4, 2, 4, 6, 14, 4, 6, 2, 10, 8, 6, 4, 2, 4, 6,
2, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 10, 8, 6, 10, 2,
4, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 6, 10, 12, 2,
4, 2, 4, 6, 12, 2, 4, 12, 2, 6, 6, 10, 6, 12, 2, 4,
2, 4, 8, 6, 10, 6, 6, 2, 16, 2, 10, 2, 6, 4, 2, 4,
2, 12, 10, 2, 4, 6, 6, 8, 6, 4, 6, 6, 2, 6, 4, 2,
6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6,
6, 10, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 12, 6, 4,
2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 6, 4, 2, 4, 8, 10,
6, 6, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10,
2, 10, 2, 10, 6, 2, 6, 4, 2, 16, 8, 4, 8, 10, 8, 4,
2, 4, 2, 4, 18, 6, 2, 4, 14, 6, 4, 2, 4, 6, 2, 6,
4, 6, 2, 10, 2, 10, 6, 6, 6, 2, 6, 4, 2, 10, 6, 2,
6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 8, 4, 8,
6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 6,
4, 6, 2, 16, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 6,
14, 4, 6, 2, 10, 2, 6, 6, 4, 12, 2, 6, 6, 4, 12, 12,
2, 4, 2, 4, 6, 2, 6, 6, 10, 6, 2, 10, 2, 6, 4, 6,
8, 4, 6, 2, 12, 6, 4, 8, 4, 6, 2, 12, 4, 2, 4, 8,
6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 4, 6,
6, 2, 6, 4, 2, 10, 6, 14, 4, 2, 4, 8, 6, 10, 2, 10,
2, 6, 6, 10, 6, 2, 6, 4, 2, 4, 12, 14, 4, 2, 10, 2,
10, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4,
8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4,
6, 12, 2, 12, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4,
2, 6, 4, 6, 8, 4, 2, 4, 2, 18, 4, 6, 12, 2, 6, 6,
4, 2, 4, 6, 2, 12, 4, 2, 12, 12, 4, 2, 4, 6, 2, 6,
4, 6, 6, 8, 6, 4, 2, 10, 6, 8, 4, 2, 4, 14, 6, 12,
4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 2,
4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 8, 10, 12, 2,
10, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 10,
2, 4, 2, 12, 10, 2, 4, 6, 8, 6, 6, 4, 6, 6, 2, 10,
2, 6, 4, 6, 8, 6, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8,
6, 4, 12, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 8,
6, 4, 2, 4, 12, 8, 4, 12, 6, 8, 4, 2, 4, 2, 4, 8,
6, 10, 6, 6, 2, 16, 2, 4, 6, 2, 6, 4, 2, 6, 12, 10,
2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 18,
4, 6, 2, 4, 8, 10, 6, 2, 4, 8, 12, 4, 2, 4, 6, 8,
10, 2, 10, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6,
2, 6, 6, 6, 10, 8, 6, 4, 2, 4, 8, 10, 8, 4, 6, 8,
6, 4, 2, 4, 14, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4,
6, 2, 10, 12, 8, 6, 4, 8, 4, 6, 8, 4, 6, 2, 4, 8,
6, 4, 6, 2, 4, 6, 8, 6, 4, 6, 8, 6, 6, 4, 2, 10,
2, 10, 2, 4, 6, 6, 2, 10, 2, 10, 6, 2, 6, 6, 6, 4,
6, 12, 2, 4, 2, 12, 6, 4, 6, 6, 8, 12, 4, 2, 12, 6,
4, 2, 4, 2, 10, 2, 10, 8, 4, 6, 8, 4, 6, 6, 6, 2,
6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 14, 4, 6, 2, 4, 6,
2, 6, 6, 6, 10, 2, 6, 4, 2, 4, 12, 12, 2, 4, 2, 10,
2, 6, 6, 4, 6, 8, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4,
8, 10, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4,
2, 16, 2, 16, 6, 6, 2, 6, 4, 2, 4, 12, 2, 6, 4, 2,
6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6,
6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 16, 2, 4, 6, 2, 10,
12, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 6, 8, 6, 10,
2, 4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 8, 10, 2, 10, 2,
4, 2, 4, 6, 8, 6, 4, 12, 8, 4, 2, 6, 4, 6, 12, 2,
4, 14, 6, 4, 6, 12, 2, 6, 10, 2, 4, 6, 2, 6, 6, 4,
2, 10, 12, 2, 4, 6, 6, 2, 6, 6, 4, 6, 8, 6, 4, 2,
6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 8, 4, 6, 8, 10, 2,
10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 14, 4,
2, 4, 6, 6, 2, 6, 4, 8, 10, 12, 2, 4, 6, 8, 6, 10,
6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 12, 2, 10,
2, 6, 12, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4,
2, 6, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2,
6, 4, 6, 2, 10, 12, 2, 6, 4, 6, 2, 6, 4, 2, 4, 12,
2, 6, 6, 10, 6, 8, 4, 2, 4, 2, 4, 8, 6, 12, 4, 6,
2, 12, 4, 2, 4, 6, 12, 2, 4, 2, 12, 12, 4, 2, 4, 6,
2, 10, 2, 4, 6, 8, 6, 4, 2, 10, 6, 8, 4, 6, 2, 12,
6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 8, 6, 4, 2,
10, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 10, 6, 2, 6, 4,
8, 4, 6, 8, 6, 6, 12, 10, 6, 2, 4, 6, 2, 12, 4, 2,
4, 8, 6, 4, 2, 4, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4,
2, 10, 6, 2, 10, 12, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6,
2, 4, 6, 8, 6, 10, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2,
4, 12, 2, 6, 4, 2, 4, 6, 6, 14, 6, 4, 18, 2, 4, 2,
4, 8, 6, 4, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4,
2, 16, 2, 12, 6, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4,
2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 12,
4, 2, 10, 2, 12, 4, 14, 10, 2, 4, 2, 4, 6, 2, 6, 10,
6, 6, 2, 10, 2, 6, 10, 8, 4, 2, 4, 6, 8, 6, 10, 2,
4, 6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10,
6, 2, 4, 6, 8, 4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 12,
2, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 6, 10, 6, 8, 6,
4, 2, 4, 2, 10, 2, 12, 4, 6, 6, 2, 12, 4, 6, 6, 2,
6, 6, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6, 8,
6, 6, 10, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 14,
4, 2, 4, 6, 6, 8, 4, 8, 4, 6, 8, 4, 2, 4, 2, 12,
6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6, 6, 4, 2,
10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 14, 4, 2,
6, 10, 8, 4, 2, 4, 2, 4, 8, 10, 8, 4, 8, 6, 10, 2,
4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 6, 6, 8, 4,
2, 4, 12, 2, 6, 6, 6, 10, 8, 4, 2, 4, 6, 14, 4, 8,
4, 6, 2, 6, 6, 4, 2, 4, 6, 12, 2, 4, 2, 10, 2, 10,
6, 2, 4, 8, 10, 2, 10, 8, 6, 4, 2, 6, 4, 6, 8, 4,
8, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 6,
6, 4, 2, 10, 12, 2, 4, 2, 4, 6, 2, 6, 6, 16, 2, 6,
4, 2, 10, 6, 8, 4, 2, 4, 14, 6, 10, 2, 10, 2, 12, 4,
2, 4, 8, 6, 4, 2, 4, 2, 22, 6, 2, 4, 6, 2, 6, 4,
2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 10, 2, 4, 8, 6,
4, 8, 4, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 10,
12, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4,
20, 4, 2, 4, 8, 16, 2, 4, 6, 2, 6, 6, 4, 2, 4, 8,
6, 4, 2, 4, 12, 2, 12, 4, 2, 10, 2, 6, 4, 2, 10, 6,
2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2,
10, 8, 6, 4, 2, 4, 6, 2, 10, 6, 2, 12, 10, 2, 10, 6,
2, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 6,
8, 6, 10, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6,
10, 2, 12, 6, 4, 6, 8, 4, 6, 12, 2, 6, 4, 2, 10, 6,
12, 2, 4, 2, 18, 4, 6, 2, 4, 6, 2, 6, 10, 2, 10, 8,
4, 2, 4, 12, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 6,
2, 10, 8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4,
6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 6, 12, 10, 6, 2, 4,
8, 6, 4, 2, 4, 6, 6, 2, 10, 8, 4, 6, 8, 6, 4, 2,
4, 8, 6, 4, 6, 12, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2,
4, 2, 10, 2, 12, 6, 4, 6, 2, 10, 2, 4, 6, 6, 8, 4,
2, 6, 18, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 12,
4, 6, 2, 6, 4, 8, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6,
4, 2, 4, 6, 6, 8, 6, 6, 4, 14, 4, 2, 4, 2, 12, 6,
4, 12, 6, 2, 12, 4, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10,
2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 10,
8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 8, 10, 6, 6, 2,
6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 12, 6,
2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 14, 6, 4, 6, 2, 4,
6, 2, 12, 4, 2, 4, 8, 10, 2, 4, 2, 10, 2, 10, 6, 2,
4, 8, 10, 2, 4, 6, 6, 2, 6, 6, 10, 6, 8, 6, 6, 4,
8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 10, 2, 6, 4, 2, 4,
2, 10, 12, 2, 4, 2, 10, 8, 4, 2, 4, 12, 2, 10, 2, 10,
14, 4, 2, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 6, 4,
6, 2, 6, 4, 2, 4, 14, 12, 4, 2, 4, 6, 2, 6, 4, 2,
4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 18, 6,
2, 10, 2, 6, 6, 4, 2, 4, 6, 12, 2, 4, 2, 12, 10, 2,
4, 12, 2, 6, 4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 8, 6,
4, 6, 24, 2, 4, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2,
6, 10, 2, 10, 6, 2, 4, 6, 8, 4, 2, 16, 2, 6, 4, 8,
4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 14, 10, 2,
4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2,
6, 6, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 10, 8, 6,
4, 6, 2, 18, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 12,
2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 8, 4, 6, 8,
4, 6, 2, 4, 14, 4, 12, 6, 2, 6, 6, 4, 2, 10, 2, 6,
4, 2, 4, 12, 2, 10, 2, 6, 4, 8, 6, 6, 4, 6, 6, 12,
2, 6, 10, 12, 2, 4, 2, 4, 8, 16, 2, 4, 8, 6, 6, 4,
2, 4, 6, 2, 6, 4, 18, 2, 10, 6, 2, 10, 2, 6, 4, 2,
4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8,
6, 4, 8, 10, 2, 6, 6, 4, 6, 6, 8, 4, 6, 2, 10, 2,
12, 6, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 14,
4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 10, 6,
2, 16, 2, 10, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6,
8, 4, 2, 10, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6,
2, 12, 4, 2, 4, 14, 6, 4, 2, 10, 2, 10, 6, 2, 4, 6,
2, 6, 4, 2, 4, 6, 8, 6, 4, 12, 6, 8, 6, 6, 4, 8,
6, 4, 8, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 2, 4, 2,
22, 2, 4, 2, 10, 8, 4, 2, 4, 6, 6, 2, 10, 2, 6, 18,
6, 4, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6,
2, 10, 2, 4, 12, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 6,
6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2,
10, 2, 6, 10, 2, 4, 6, 2, 10, 2, 6, 22, 2, 4, 2, 4,
6, 2, 6, 4, 6, 12, 2, 6, 4, 2, 10, 14, 4, 2, 4, 6,
8, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 6, 2, 6, 6, 6,
12, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2,
6, 10, 12, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 10, 2,
4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 12, 2, 6, 10,
6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 6, 4, 8, 10, 6,
2, 4, 6, 8, 6, 4, 2, 12, 6, 4, 2, 4, 2, 10, 2, 10,
2, 4, 2, 4, 8, 10, 2, 10, 6, 2, 6, 12, 4, 6, 8, 4,
2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 8, 6, 4, 2, 10, 2,
6, 4, 2, 4, 2, 10, 2, 10, 2, 10, 6, 8, 4, 2, 4, 6,
6, 8, 6, 6, 10, 12, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8,
6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 6, 4,
6, 2, 6, 4, 6, 6, 8, 6, 6, 6, 4, 6, 8, 4, 2, 4,
2, 4, 18, 8, 4, 6, 2, 6, 6, 4, 2, 10, 8, 4, 2, 4,
12, 2, 10, 2, 4, 6, 6, 2, 12, 4, 14, 10, 2, 6, 4, 6,
8, 4, 6, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6,
6, 2, 6, 6, 6, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2,
10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6,
4, 6, 2, 12, 12, 4, 6, 8, 6, 4, 2, 4, 2, 10, 2, 16,
2, 4, 6, 2, 12, 4, 6, 6, 2, 6, 4, 2, 10, 14, 6, 4,
6, 8, 6, 4, 6, 2, 10, 2, 6, 6, 6, 4, 6, 2, 6, 4,
6, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 12,
2, 6, 4, 14, 4, 6, 2, 12, 6, 4, 12, 6, 2, 6, 6, 4,
2, 4, 6, 2, 6, 6, 4, 12, 2, 12, 4, 2, 4, 8, 6, 4,
2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 14,
12, 10, 2, 6, 10, 2, 4, 6, 2, 10, 2, 4, 14, 10, 2, 4,
2, 10, 8, 4, 6, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2,
4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2,
10, 8, 10, 2, 10, 2, 6, 4, 14, 4, 2, 4, 12, 2, 6, 4,
2, 6, 4, 6, 12, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2,
6, 10, 2, 4, 6, 2, 10, 2, 4, 2, 10, 14, 4, 6, 6, 2,
6, 6, 4, 12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 12, 6,
10, 2, 4, 6, 14, 4, 2, 10, 8, 4, 2, 4, 2, 12, 10, 2,
4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 8, 4, 6,
8, 4, 8, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4,
6, 8, 4, 2, 4, 2, 12, 10, 2, 6, 10, 2, 6, 4, 2, 4,
6, 6, 12, 2, 6, 10, 8, 6, 4, 2, 4, 8, 10, 6, 2, 4,
8, 6, 6, 4, 6, 8, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2,
4, 6, 2, 6, 4, 2, 10, 6, 8, 12, 4, 6, 8, 4, 2, 4,
2, 4, 8, 6, 4, 8, 4, 6, 8, 10, 2, 4, 6, 8, 4, 2,
6, 10, 2, 10, 2, 4, 6, 6, 2, 10, 2, 4, 6, 8, 6, 6,
6, 4, 18, 6, 2, 4, 8, 6, 4, 6, 2, 4, 8, 12, 4, 6,
6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4,
12, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 2, 18, 4, 6,
2, 4, 6, 14, 4, 2, 12, 6, 4, 2, 4, 12, 2, 10, 6, 2,
4, 6, 2, 6, 10, 6, 6, 2, 10, 2, 10, 6, 8, 6, 4, 2,
4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 8, 6, 4,
2, 6, 10, 12, 6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 12, 6,
4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 12, 2, 6, 6, 4,
12, 2, 6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 12, 2, 4,
6, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4,
6, 2, 10, 2, 6, 6, 6, 4, 6, 2, 10, 6, 2, 12, 10, 2,
4, 2, 4, 6, 2, 6, 4, 6, 6, 14, 4, 2, 6, 4, 6, 8,
4, 2, 4, 14, 16, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6,
6, 6, 10, 2, 10, 2, 4, 6, 6, 8, 4, 2, 4, 14, 6, 4,
2, 6, 4, 6, 12, 2, 4, 2, 4, 14, 4, 8, 4, 6, 2, 6,
10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 6, 6, 6,
8, 6, 10, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 10, 8, 6,
4, 6, 2, 4, 14, 6, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2,
10, 2, 4, 2, 4, 8, 6, 6, 4, 6, 6, 2, 6, 4, 8, 4,
6, 8, 4, 2, 10, 8, 6, 4, 6, 12, 2, 6, 6, 4, 2, 4,
6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 6, 4, 6, 2, 6, 4,
2, 4, 12, 8, 4, 2, 16, 8, 4, 6, 2, 4, 8, 18, 4, 8,
12, 4, 2, 4, 6, 2, 6, 4, 6, 2, 12, 10, 2, 4, 2, 4,
8, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 6, 2,
4, 8, 6, 12, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2,
4, 12, 2, 10, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4,
2, 6, 4, 6, 8, 10, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6,
6, 4, 6, 8, 6, 10, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6,
4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 12,
6, 4, 6, 2, 4, 6, 14, 4, 2, 4, 8, 10, 2, 4, 2, 10,
2, 16, 6, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 10, 6,
14, 4, 2, 12, 6, 4, 6, 2, 4, 8, 6, 6, 6, 4, 6, 8,
4, 2, 4, 2, 10, 12, 2, 6, 10, 2, 6, 4, 6, 6, 6, 2,
10, 8, 4, 14, 4, 2, 6, 4, 14, 4, 6, 2, 4, 6, 2, 6,
6, 4, 2, 10, 2, 6, 4, 2, 4, 14, 12, 4, 2, 4, 6, 2,
6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 6, 8, 6, 4, 2, 4,
14, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 12,
10, 6, 2, 4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 6, 4,
6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 10, 2, 6, 10, 6, 6,
2, 6, 4, 2, 6, 10, 2, 12, 4, 2, 4, 6, 12, 2, 4, 12,
2, 6, 4, 2, 6, 4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 18, 4, 6, 2, 6, 10, 2, 10, 2, 10, 2, 4, 6,
6, 2, 6, 6, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 6,
12, 6, 4, 6, 6, 6, 8, 6, 4, 2, 10, 2, 6, 6, 4, 2,
10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 6, 6, 8, 6, 4, 8,
4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 12, 6, 2, 6, 10,
2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 12,
2, 4, 6, 6, 8, 6, 6, 10, 8, 4, 2, 4, 6, 8, 10, 6,
6, 8, 6, 6, 4, 2, 10, 2, 10, 6, 2, 10, 2, 10, 2, 4,
2, 4, 14, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4,
2, 6, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 6, 4, 6, 8,
4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 6, 2, 10, 2, 4, 14,
6, 4, 2, 10, 6, 8, 4, 6, 2, 4, 8, 16, 2, 4, 6, 2,
12, 4, 6, 6, 2, 6, 6, 4, 2, 12, 10, 2, 4, 6, 6, 2,
6, 4, 2, 16, 2, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 18,
4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 14, 4, 2, 4, 2, 10,
2, 10, 6, 2, 10, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 10,
6, 8, 6, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 6, 4,
8, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 6, 10,
6, 2, 10, 8, 4, 14, 4, 2, 4, 6, 8, 6, 4, 6, 2, 10,
8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 14, 4, 6, 6,
2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 6, 2,
4, 14, 4, 8, 12, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2,
12, 10, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6,
4, 6, 12, 2, 4, 6, 14, 10, 2, 4, 6, 2, 6, 6, 4, 2,
10, 2, 6, 4, 2, 16, 2, 10, 2, 4, 2, 10, 8, 6, 4, 12,
2, 10, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 8, 10, 2, 10, 12,
6, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
2, 6, 4, 8, 6, 4, 6, 2, 10, 8, 6, 4, 12, 2, 10, 2,
4, 2, 10, 2, 12, 4, 2, 4, 8, 10, 2, 4, 6, 6, 2, 6,
4, 12, 14, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 6,
6, 4, 6, 8, 4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6,
4, 2, 4, 6, 6, 8, 4, 8, 10, 8, 4, 2, 6, 12, 10, 6,
6, 8, 6, 6, 4, 2, 4, 6, 2, 6, 10, 2, 12, 10, 2, 4,
2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 12, 6, 4, 6, 8, 6,
4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 6, 6, 8, 4,
2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 12, 2, 4, 6, 14,
4, 2, 6, 10, 8, 4, 6, 6, 8, 6, 4, 6, 2, 4, 6, 2,
6, 10, 6, 6, 2, 12, 6, 10, 2, 10, 2, 4, 2, 4, 8, 6,
4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 6, 12, 6,
4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 6, 4, 2, 10,
12, 6, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 6, 4, 2, 16,
8, 6, 4, 2, 4, 8, 6, 10, 2, 4, 6, 14, 6, 4, 6, 2,
6, 4, 2, 4, 2, 22, 2, 4, 2, 10, 2, 6, 4, 6, 6, 6,
2, 10, 2, 6, 4, 14, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4,
6, 2, 6, 6, 4, 2, 4, 14, 4, 2, 4, 12, 2, 12, 4, 2,
10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 6, 4,
2, 4, 18, 6, 12, 2, 6, 6, 4, 2, 12, 10, 2, 4, 2, 12,
10, 2, 4, 2, 4, 6, 8, 4, 12, 6, 2, 6, 4, 8, 4, 6,
8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 8, 6, 6, 4, 6,
2, 6, 4, 2, 6, 10, 2, 10, 2, 4, 6, 6, 8, 4, 2, 4,
14, 6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 8, 10, 6, 2, 4,
8, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2,
10, 6, 2, 6, 10, 12, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2,
6, 4, 14, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4,
2, 4, 12, 2, 10, 6, 2, 4, 8, 6, 6, 10, 6, 2, 10, 8,
4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6, 6, 8, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 8, 4, 6, 2,
6, 6, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8,
10, 6, 2, 12, 6, 6, 4, 6, 6, 2, 6, 4, 6, 2, 10, 14,
4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 6, 6, 4, 14,
4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 6, 4, 6,
8, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 8, 10, 2, 4, 6,
14, 4, 2, 6, 4, 6, 12, 6, 2, 12, 6, 10, 6, 6, 2, 6,
6, 4, 6, 6, 2, 6, 6, 4, 12, 2, 10, 2, 4, 2, 10, 2,
6, 4, 2, 10, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2,
12, 6, 4, 8, 4, 6, 2, 16, 2, 4, 8, 6, 4, 6, 2, 10,
2, 10, 8, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 16,
8, 6, 4, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 2, 10, 2, 4, 2, 10, 14, 4, 2, 12, 6, 4, 2, 4, 6,
6, 2, 10, 2, 10, 14, 4, 2, 6, 12, 6, 4, 6, 2, 4, 6,
2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 12, 14, 4, 2, 4,
6, 2, 6, 4, 2, 4, 12, 2, 6, 4, 12, 6, 8, 4, 2, 6,
4, 14, 10, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 2,
12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6, 6, 2, 10, 2,
6, 4, 6, 8, 10, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4,
6, 6, 8, 4, 2, 6, 10, 2, 10, 2, 4, 2, 10, 8, 4, 2,
4, 12, 8, 4, 2, 6, 4, 6, 14, 4, 2, 4, 8, 10, 6, 2,
4, 6, 2, 6, 10, 2, 4, 8, 6, 4, 2, 6, 10, 2, 10, 2,
4, 6, 6, 2, 6, 6, 10, 6, 2, 6, 4, 8, 4, 14, 4, 2,
6, 4, 8, 6, 4, 6, 2, 4, 6, 14, 4, 2, 10, 2, 6, 6,
4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 4, 6, 6, 2,
6, 12, 10, 12, 2, 4, 2, 4, 8, 6, 4, 6, 6, 14, 6, 4,
2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6,
2, 6, 4, 6, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2,
4, 18, 6, 2, 4, 8, 6, 6, 4, 2, 12, 6, 4, 6, 12, 2,
10, 2, 4, 2, 4, 6, 2, 12, 4, 6, 6, 2, 12, 6, 4, 6,
8, 4, 2, 4, 2, 4, 8, 6, 4, 12, 6, 2, 6, 6, 4, 2,
10, 8, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6, 12, 2, 4, 6,
8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6,
2, 10, 2, 6, 6, 10, 6, 2, 6, 6, 4, 2, 10, 2, 12, 4,
2, 4, 6, 2, 10, 2, 10, 8, 6, 4, 2, 6, 4, 14, 4, 2,
4, 2, 12, 10, 6, 2, 4, 6, 2, 12, 6, 4, 8, 6, 4, 6,
2, 10, 2, 10, 6, 6, 6, 2, 6, 4, 2, 4, 12, 8, 4, 2,
10, 6, 8, 6, 4, 2, 18, 4, 6, 6, 6, 2, 6, 6, 6, 4,
6, 2, 6, 6, 4, 2, 10, 12, 6, 2, 10, 2, 6, 4, 2, 10,
8, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4,
8, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 12, 4, 2,
4, 6, 8, 6, 4, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2,
4, 6, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10,
2, 4, 2, 22, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6,
4, 2, 6, 4, 6, 8, 4, 12, 8, 6, 12, 4, 6, 2, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 12, 2, 4, 2, 4, 14,
4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 12, 2, 4, 2, 4, 8,
6, 10, 2, 4, 6, 2, 16, 2, 4, 6, 2, 6, 4, 2, 4, 14,
10, 2, 4, 12, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2,
10, 8, 4, 6, 2, 10, 2, 10, 2, 6, 12, 6, 4, 2, 4, 6,
6, 2, 6, 4, 8, 4, 6, 8, 6, 4, 2, 4, 8, 10, 6, 6,
6, 2, 6, 6, 4, 2, 4, 8, 10, 2, 4, 2, 10, 2, 12, 6,
4, 6, 2, 6, 4, 2, 10, 6, 8, 4, 18, 8, 4, 2, 4, 2,
12, 10, 6, 2, 4, 14, 6, 4, 2, 4, 6, 8, 4, 6, 2, 10,
2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 12,
4, 6, 12, 2, 6, 4, 8, 6, 4, 8, 4, 8, 6, 6, 4, 2,
4, 6, 8, 4, 2, 4, 2, 12, 10, 2, 6, 4, 6, 2, 10, 6,
6, 8, 10, 2, 6, 4, 6, 8, 10, 2, 4, 14, 4, 6, 2, 4,
6, 2, 6, 6, 4, 12, 2, 6, 6, 4, 12, 2, 10, 2, 4, 2,
4, 6, 2, 6, 6, 10, 6, 12, 2, 6, 4, 6, 8, 4, 2, 4,
2, 12, 6, 4, 6, 2, 4, 6, 2, 16, 2, 4, 8, 6, 4, 2,
6, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2,
6, 4, 2, 10, 14, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2,
12, 10, 6, 2, 6, 6, 4, 2, 10, 14, 4, 2, 10, 2, 10, 2,
4, 6, 6, 2, 10, 2, 6, 18, 4, 2, 4, 2, 4, 8, 6, 4,
6, 2, 4, 6, 8, 6, 6, 4, 6, 2, 6, 4, 6, 12, 2, 12,
4, 2, 4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 6, 4, 6,
8, 4, 2, 4, 2, 18, 4, 6, 12, 2, 6, 6, 4, 2, 4, 8,
12, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 10, 6, 6, 8, 6,
6, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 16, 6, 2, 6, 10,
2, 10, 2, 6, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8,
4, 2, 4, 12, 2, 6, 4, 2, 6, 10, 12, 2, 4, 6, 8, 6,
4, 6, 2, 4, 6, 2, 6, 12, 4, 6, 2, 10, 2, 4, 2, 10,
2, 10, 2, 4, 6, 8, 6, 6, 4, 6, 8, 6, 4, 2, 6, 4,
6, 8, 4, 2, 6, 4, 8, 10, 6, 2, 4, 6, 8, 6, 4, 2,
10, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 6, 8, 6, 4, 2,
4, 12, 2, 6, 4, 12, 6, 8, 4, 2, 4, 2, 4, 14, 10, 6,
6, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10, 8,
4, 6, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 10, 8, 4, 6,
2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4,
6, 2, 10, 2, 10, 2, 4, 2, 10, 2, 6, 6, 4, 6, 6, 2,
6, 6, 6, 4, 6, 8, 6, 4, 6, 8, 10, 8, 10, 2, 6, 6,
4, 2, 4, 14, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 6, 2,
10, 2, 10, 8, 6, 4, 8, 4, 6, 8, 4, 6, 2, 4, 8, 6,
4, 8, 4, 6, 8, 6, 4, 6, 6, 2, 6, 6, 4, 2, 10, 2,
10, 2, 4, 6, 8, 6, 4, 2, 10, 6, 2, 6, 6, 6, 4, 6,
12, 2, 4, 2, 12, 6, 10, 2, 4, 8, 12, 4, 2, 4, 8, 6,
4, 2, 4, 12, 2, 10, 8, 10, 2, 6, 4, 6, 6, 6, 2, 6,
4, 2, 10, 6, 8, 6, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2,
6, 6, 6, 10, 2, 6, 4, 6, 12, 12, 2, 6, 10, 2, 6, 6,
4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 16,
2, 16, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2,
10, 6, 8, 4, 2, 4, 2, 18, 4, 6, 2, 10, 2, 6, 6, 4,
6, 6, 12, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6, 6,
6, 2, 6, 4, 8, 4, 14, 4, 2, 10, 8, 6, 10, 2, 4, 6,
2, 6, 6, 6, 4, 6, 2, 6, 4, 8, 12, 10, 2, 4, 2, 4,
6, 8, 4, 2, 4, 12, 12, 2, 6, 4, 6, 14, 4, 2, 12, 6,
4, 6, 6, 6, 2, 6, 10, 6, 6, 2, 6, 6, 4, 2, 10, 2,
10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 14, 4, 2, 6, 4, 6,
8, 4, 2, 6, 4, 8, 6, 4, 8, 4, 6, 8, 10, 2, 10, 2,
6, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 4, 6,
6, 2, 6, 4, 8, 18, 4, 2, 4, 6, 8, 6, 4, 6, 6, 6,
2, 12, 4, 2, 4, 6, 2, 12, 4, 2, 10, 2, 10, 2, 6, 4,
8, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 6,
4, 8, 10, 6, 2, 4, 14, 6, 4, 2, 4, 6, 2, 6, 4, 6,
2, 10, 12, 2, 4, 2, 4, 6, 2, 6, 4, 6, 12, 2, 6, 6,
10, 6, 8, 4, 2, 4, 2, 4, 8, 6, 12, 4, 6, 2, 12, 4,
2, 4, 14, 4, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 10,
2, 4, 6, 8, 6, 6, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6,
4, 6, 6, 6, 2, 6, 6, 4, 12, 8, 6, 4, 2, 10, 2, 10,
2, 4, 2, 10, 8, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6,
8, 6, 4, 2, 12, 10, 6, 2, 4, 6, 2, 12, 6, 4, 8, 6,
4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 10,
8, 6, 4, 12, 6, 8, 6, 4, 2, 4, 8, 10, 6, 2, 4, 6,
8, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 12,
2, 6, 4, 2, 4, 12, 2, 12, 6, 4, 18, 2, 4, 2, 4, 14,
4, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4,
12, 2, 18, 4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 12, 6, 6, 4, 2,
10, 2, 10, 2, 4, 14, 10, 2, 4, 2, 4, 6, 2, 6, 10, 6,
6, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2,
10, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 12, 6,
2, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 12,
6, 2, 4, 8, 6, 4, 8, 10, 2, 6, 10, 6, 6, 2, 6, 4,
2, 4, 2, 10, 2, 12, 4, 6, 8, 12, 4, 6, 6, 2, 6, 4,
2, 6, 4, 18, 2, 6, 4, 8, 6, 10, 2, 4, 6, 8, 6, 6,
10, 2, 6, 4, 6, 12, 2, 10, 2, 4, 2, 12, 6, 4, 2, 4,
6, 6, 8, 4, 8, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6,
6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 10, 2, 10, 2, 10,
2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 14, 4, 2, 6, 10, 8,
4, 2, 4, 2, 4, 8, 10, 8, 4, 8, 6, 10, 2, 4, 6, 2,
10, 6, 2, 10, 2, 12, 4, 2, 4, 6, 8, 4, 2, 4, 6, 6,
2, 6, 6, 16, 8, 4, 2, 4, 14, 6, 4, 8, 4, 6, 2, 6,
6, 4, 2, 4, 6, 12, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4,
8, 10, 2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 4, 8, 4, 8,
6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6, 4,
2, 22, 2, 4, 2, 4, 6, 2, 6, 4, 2, 16, 2, 10, 2, 10,
6, 8, 6, 4, 2, 12, 6, 10, 2, 4, 6, 2, 12, 4, 6, 8,
6, 4, 2, 4, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4,
6, 6, 8, 4, 2, 10, 6, 8, 10, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 12, 4, 6, 8, 4, 2, 6, 10, 12, 2, 4, 2,
10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 6, 4,
2, 4, 8, 10, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 6,
4, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6,
4, 8, 10, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 8, 6,
4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 4, 6, 6, 2,
6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 6, 8,
6, 10, 2, 4, 8, 6, 6, 4, 2, 4, 8, 6, 4, 2, 6, 10,
2, 10, 2, 6, 4, 6, 12, 6, 12, 2, 6, 6, 6, 4, 6, 12,
2, 4, 2, 4, 14, 4, 6, 6, 6, 2, 6, 10, 2, 10, 2, 6,
4, 2, 4, 12, 2, 10, 2, 4, 6, 6, 8, 6, 4, 6, 6, 2,
10, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4,
6, 8, 6, 6, 10, 2, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4,
8, 6, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 4, 2, 4,
2, 4, 8, 10, 6, 12, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2,
4, 2, 10, 2, 12, 10, 6, 2, 10, 2, 4, 12, 8, 4, 2, 6,
18, 4, 2, 4, 2, 4, 18, 6, 2, 4, 8, 6, 6, 6, 4, 6,
2, 6, 4, 6, 2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2,
10, 6, 8, 6, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 12,
8, 6, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4,
2, 4, 6, 2, 12, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4,
6, 6, 8, 6, 4, 8, 10, 2, 6, 10, 6, 6, 2, 6, 6, 4,
2, 10, 12, 2, 4, 2, 4, 6, 8, 4, 2, 10, 6, 2, 6, 4,
2, 6, 10, 8, 4, 6, 14, 6, 4, 8, 4, 6, 2, 12, 4, 2,
4, 8, 10, 2, 4, 2, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2,
4, 6, 6, 2, 6, 4, 2, 10, 6, 14, 6, 4, 8, 6, 10, 2,
4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 12, 12, 2,
4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 10, 14, 4, 2,
4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 6, 2,
6, 4, 6, 14, 12, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2,
6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 2, 10,
2, 6, 6, 4, 2, 4, 6, 12, 2, 4, 2, 12, 12, 4, 2, 10,
2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 14,
16, 2, 4, 6, 2, 6, 6, 4, 2, 4, 14, 4, 2, 6, 10, 2,
10, 2, 4, 2, 4, 6, 8, 4, 2, 16, 2, 6, 4, 8, 4, 6,
12, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 10, 2, 4, 6,
2, 6, 4, 2, 4, 2, 12, 10, 2, 4, 6, 6, 2, 6, 6, 4,
6, 6, 2, 12, 6, 4, 6, 14, 6, 4, 8, 6, 4, 6, 2, 4,
14, 6, 4, 12, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4,
8, 6, 4, 6, 6, 6, 8, 4, 8, 4, 6, 8, 4, 2, 4, 2,
4, 14, 4, 6, 6, 6, 2, 6, 10, 2, 10, 2, 6, 4, 2, 16,
2, 10, 2, 6, 4, 6, 2, 6, 6, 4, 6, 6, 12, 2, 6, 18,
4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 12, 4, 2, 4, 6,
2, 6, 12, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6,
6, 2, 6, 6, 6, 10, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8,
10, 8, 6, 4, 6, 6, 8, 4, 2, 4, 2, 10, 2, 12, 4, 2,
4, 6, 2, 10, 6, 6, 8, 6, 4, 2, 6, 4, 14, 4, 6, 2,
4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 10, 8, 6, 10, 2,
10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 10, 6, 8, 6, 6,
4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 12, 4,
2, 12, 6, 6, 4, 2, 10, 2, 10, 6, 2, 4, 6, 8, 4, 2,
4, 6, 8, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4,
8, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12,
2, 4, 2, 10, 8, 4, 2, 4, 6, 8, 10, 2, 6, 18, 4, 2,
4, 6, 8, 10, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2,
10, 2, 4, 12, 2, 12, 4, 6, 8, 6, 4, 2, 4, 12, 2, 6,
4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2, 10, 2,
6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 22, 6, 2, 4, 6,
2, 6, 4, 18, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 6, 8,
6, 10, 2, 4, 8, 12, 4, 2, 4, 6, 2, 6, 4, 2, 6, 12,
10, 2, 4, 2, 4, 6, 8, 6, 4, 12, 2, 6, 4, 2, 6, 4,
6, 12, 6, 6, 8, 6, 4, 6, 2, 10, 2, 6, 10, 2, 4, 6,
8, 4, 2, 4, 2, 10, 12, 2, 4, 12, 2, 6, 6, 4, 6, 6,
2, 6, 4, 2, 6, 4, 6, 8, 12, 4, 8, 10, 8, 4, 6, 8,
6, 4, 2, 12, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4,
8, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 12, 2, 4, 2,
4, 8, 6, 10, 6, 6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2,
4, 12, 2, 10, 2, 16, 2, 6, 4, 2, 4, 6, 6, 8, 6, 6,
10, 12, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2,
4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6,
4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4,
14, 4, 8, 4, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4, 12, 2,
12, 4, 2, 4, 6, 2, 12, 4, 6, 8, 10, 2, 10, 6, 8, 4,
6, 2, 12, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 8,
6, 6, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2,
6, 4, 8, 4, 6, 8, 4, 2, 6, 12, 6, 4, 6, 2, 10, 2,
12, 4, 6, 8, 6, 4, 2, 4, 2, 12, 16, 2, 4, 6, 2, 10,
2, 4, 6, 6, 2, 10, 2, 10, 14, 6, 4, 2, 4, 8, 6, 4,
6, 2, 4, 6, 2, 6, 6, 10, 6, 2, 6, 4, 6, 2, 10, 12,
2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 12, 2, 6, 4, 14,
4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 10, 2, 4, 6,
2, 6, 6, 16, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6,
8, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 8, 10,
2, 16, 2, 4, 6, 2, 12, 4, 2, 12, 10, 2, 4, 2, 4, 6,
8, 4, 6, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 6,
8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 4, 6, 2, 10, 2, 6,
10, 2, 10, 2, 4, 2, 4, 14, 4, 6, 12, 2, 6, 4, 2, 6,
4, 6, 12, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10,
2, 4, 8, 6, 4, 2, 4, 2, 10, 12, 2, 4, 6, 6, 2, 12,
4, 12, 2, 6, 6, 10, 6, 8, 4, 2, 6, 4, 8, 6, 10, 6,
6, 14, 4, 2, 10, 2, 6, 4, 2, 4, 2, 12, 10, 2, 4, 2,
4, 14, 4, 2, 4, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 6,
2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4,
2, 4, 2, 10, 2, 10, 2, 6, 10, 2, 6, 4, 2, 4, 6, 14,
4, 2, 6, 10, 8, 6, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6,
6, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 10, 2, 4, 6, 6,
2, 6, 4, 2, 16, 2, 6, 12, 4, 6, 8, 4, 2, 4, 2, 4,
14, 4, 8, 4, 6, 8, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2,
10, 2, 10, 6, 6, 6, 2, 10, 2, 10, 8, 6, 6, 6, 4, 6,
12, 6, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 4, 6, 6,
2, 6, 6, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 16, 6,
2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 20, 4, 6, 2, 10,
2, 12, 4, 2, 12, 6, 4, 2, 4, 12, 12, 6, 2, 4, 6, 2,
6, 6, 4, 6, 6, 2, 10, 2, 10, 6, 8, 10, 2, 4, 8, 6,
4, 8, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 2, 6, 10,
12, 6, 2, 12, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 18,
2, 4, 2, 4, 8, 6, 10, 2, 10, 2, 6, 6, 4, 6, 6, 2,
6, 4, 2, 4, 12, 2, 12, 4, 2, 10, 2, 10, 2, 4, 6, 6,
2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2,
10, 2, 6, 6, 6, 4, 6, 2, 10, 6, 2, 12, 10, 2, 6, 4,
6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2,
4, 14, 6, 10, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 12, 6,
10, 2, 12, 4, 2, 4, 6, 8, 4, 2, 4, 14, 6, 4, 2, 10,
6, 12, 2, 4, 2, 12, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4,
6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 8, 6, 4,
6, 6, 2, 6, 4, 8, 10, 8, 4, 2, 10, 8, 6, 4, 6, 2,
4, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 12, 10, 2, 4,
2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 10, 8, 4, 6, 8, 6,
6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6,
4, 2, 4, 2, 10, 12, 2, 6, 4, 6, 2, 6, 4, 2, 4, 12,
8, 4, 2, 16, 8, 4, 2, 4, 2, 4, 8, 16, 2, 4, 8, 16,
2, 4, 6, 2, 6, 4, 8, 12, 10, 2, 4, 2, 4, 6, 2, 6,
4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 14, 4, 6, 2, 4, 8,
6, 4, 8, 4, 6, 2, 12, 4, 2, 4, 6, 8, 6, 4, 2, 10,
2, 10, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6,
10, 8, 10, 2, 4, 8, 10, 6, 2, 4, 6, 8, 6, 4, 6, 8,
6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 12,
6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6,
2, 4, 6, 14, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10,
6, 6, 6, 2, 10, 2, 4, 6, 6, 2, 6, 6, 10, 6, 14, 4,
2, 4, 8, 6, 4, 6, 6, 8, 6, 6, 6, 10, 2, 6, 4, 2,
4, 2, 10, 12, 2, 6, 10, 8, 4, 6, 6, 6, 2, 10, 2, 6,
4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6,
6, 10, 2, 6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 2, 6,
6, 4, 6, 8, 10, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 18,
6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6, 12, 10,
6, 6, 6, 2, 6, 4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 8,
4, 2, 4, 6, 14, 10, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6,
4, 2, 6, 10, 2, 16, 2, 4, 6, 12, 2, 16, 2, 6, 4, 2,
6, 4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 12,
4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6,
6, 4, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 18, 6, 4,
6, 12, 8, 6, 4, 2, 10, 2, 6, 6, 4, 2, 10, 12, 2, 4,
2, 4, 8, 6, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 4,
6, 2, 4, 8, 6, 4, 12, 6, 2, 6, 10, 2, 4, 6, 2, 6,
4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 14, 4, 2, 4, 6, 6,
8, 4, 2, 6, 10, 12, 2, 4, 6, 8, 16, 2, 4, 8, 6, 6,
4, 2, 4, 6, 2, 10, 6, 12, 2, 10, 2, 4, 2, 12, 6, 4,
2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 6, 4, 8,
6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 6, 2,
10, 12, 2, 6, 4, 6, 2, 10, 2, 4, 14, 6, 4, 2, 10, 6,
8, 4, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 4, 6, 6,
2, 12, 4, 2, 12, 12, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6,
2, 6, 4, 2, 10, 6, 8, 4, 6, 2, 12, 6, 4, 6, 2, 4,
6, 2, 12, 4, 2, 4, 14, 4, 2, 4, 2, 10, 2, 10, 6, 2,
10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 12, 6, 8, 6, 6,
4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 6, 4, 8, 6, 4, 2,
4, 2, 22, 2, 4, 2, 10, 2, 6, 4, 2, 10, 6, 2, 10, 8,
4, 14, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4,
6, 6, 2, 6, 4, 2, 4, 12, 2, 12, 4, 6, 6, 2, 6, 4,
2, 4, 6, 6, 8, 6, 6, 4, 6, 12, 2, 4, 2, 4, 14, 4,
6, 2, 12, 6, 10, 2, 4, 6, 2, 10, 2, 6, 12, 10, 2, 6,
4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 14, 4,
2, 4, 6, 14, 10, 2, 4, 6, 2, 12, 4, 2, 10, 2, 6, 6,
16, 2, 10, 2, 4, 2, 4, 6, 8, 6, 4, 12, 2, 10, 2, 6,
10, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 10, 2,
4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 6, 6, 6, 2, 6, 10,
6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6,
4, 6, 2, 10, 8, 6, 4, 14, 6, 4, 2, 4, 2, 10, 2, 12,
4, 2, 4, 8, 10, 2, 4, 6, 6, 2, 6, 12, 4, 14, 4, 2,
4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 10, 2, 6,
4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 6, 6,
8, 4, 2, 6, 10, 8, 4, 2, 4, 2, 12, 10, 6, 6, 8, 6,
6, 6, 4, 6, 2, 6, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6,
2, 6, 4, 2, 4, 6, 8, 6, 6, 6, 4, 6, 8, 4, 2, 4,
2, 4, 8, 10, 8, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2,
4, 2, 10, 2, 10, 2, 4, 6, 6, 12, 2, 4, 14, 6, 4, 2,
6, 10, 8, 4, 6, 6, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4,
6, 6, 2, 12, 4, 2, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2,
10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 12, 6, 4,
6, 2, 4, 8, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 12,
6, 2, 4, 6, 2, 6, 6, 4, 12, 2, 6, 4, 2, 10, 6, 8,
6, 4, 6, 8, 6, 10, 2, 10, 2, 12, 6, 4, 6, 2, 6, 4,
2, 4, 2, 22, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2,
10, 2, 6, 4, 14, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2,
6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 12, 4, 2, 12,
6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 14, 4, 2,
4, 24, 2, 10, 2, 6, 6, 4, 2, 4, 8, 10, 2, 4, 14, 10,
2, 4, 2, 10, 2, 6, 4, 12, 6, 2, 6, 4, 8, 4, 6, 8,
4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 4, 6,
2, 6, 4, 8, 10, 2, 10, 2, 10, 6, 8, 4, 2, 4, 12, 2,
6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4,
8, 6, 10, 2, 4, 6, 2, 10, 2, 4, 2, 10, 2, 12, 10, 6,
2, 6, 10, 6, 6, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 18,
4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 8, 4, 2, 4, 12, 2,
10, 2, 4, 2, 4, 8, 6, 6, 4, 6, 6, 2, 10, 8, 4, 6,
8, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2,
4, 6, 2, 6, 4, 2, 6, 12, 10, 8, 4, 6, 2, 6, 4, 2,
4, 6, 6, 12, 2, 6, 10, 8, 6, 4, 2, 4, 8, 10, 6, 2,
12, 6, 6, 4, 6, 6, 2, 6, 4, 6, 2, 10, 2, 12, 4, 2,
4, 6, 2, 10, 2, 4, 6, 6, 8, 6, 6, 4, 14, 4, 2, 4,
2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 12, 4, 6, 8, 4, 8,
10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 14, 4, 2,
6, 4, 14, 4, 6, 2, 12, 6, 4, 6, 6, 6, 2, 12, 4, 6,
6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6,
4, 2, 10, 8, 6, 4, 2, 6, 10, 8, 4, 2, 4, 2, 12, 6,
4, 8, 4, 6, 18, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10,
6, 2, 4, 6, 8, 4, 6, 6, 6, 2, 6, 4, 2, 16, 8, 6,
4, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 8, 10,
2, 4, 2, 10, 12, 2, 4, 2, 12, 10, 2, 4, 6, 6, 2, 12,
6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6,
4, 2, 10, 2, 6, 4, 2, 4, 12, 14, 4, 2, 4, 6, 8, 4,
2, 4, 12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 2, 4, 14,
10, 2, 10, 2, 12, 6, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2,
4, 2, 4, 6, 2, 6, 4, 6, 6, 8, 6, 4, 2, 6, 4, 6,
8, 4, 6, 6, 8, 16, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6,
8, 4, 2, 6, 10, 2, 10, 2, 4, 12, 8, 4, 2, 4, 12, 2,
6, 4, 2, 6, 4, 6, 14, 4, 2, 4, 18, 6, 2, 4, 6, 2,
6, 10, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 6, 6,
2, 6, 6, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4,
8, 6, 4, 6, 2, 4, 14, 6, 4, 2, 10, 2, 6, 4, 2, 4,
2, 10, 2, 10, 2, 4, 6, 8, 6, 6, 4, 6, 6, 2, 6, 12,
4, 6, 12, 2, 4, 6, 8, 6, 4, 6, 14, 6, 6, 4, 2, 4,
6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 6, 4, 6, 2, 6, 4,
6, 6, 6, 8, 4, 2, 6, 10, 8, 4, 6, 2, 4, 18, 8, 4,
8, 6, 6, 4, 2, 10, 2, 6, 4, 6, 12, 2, 10, 2, 4, 2,
4, 8, 6, 6, 4, 6, 6, 2, 12, 6, 4, 6, 12, 2, 4, 2,
4, 8, 6, 12, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2,
16, 2, 10, 6, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6,
4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2, 10, 2, 6, 6,
4, 6, 6, 2, 6, 10, 2, 10, 2, 12, 6, 4, 6, 2, 10, 2,
10, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 12, 6, 4,
6, 2, 4, 6, 2, 12, 6, 4, 8, 10, 6, 2, 10, 2, 16, 2,
4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 10, 6, 8, 6,
4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 8, 6,
4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 8, 10,
8, 4, 14, 4, 2, 6, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10,
2, 4, 6, 2, 6, 4, 2, 4, 14, 12, 4, 2, 4, 6, 8, 4,
2, 4, 6, 6, 2, 10, 2, 6, 10, 8, 6, 4, 6, 14, 4, 6,
2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 10, 2,
4, 2, 4, 8, 6, 4, 6, 6, 6, 8, 4, 2, 6, 4, 6, 8,
4, 2, 10, 8, 6, 10, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2,
6, 4, 2, 6, 10, 12, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12,
2, 6, 4, 2, 10, 18, 2, 4, 2, 4, 8, 6, 10, 2, 4, 6,
2, 16, 2, 4, 6, 2, 6, 6, 4, 2, 12, 10, 2, 4, 6, 6,
2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 8, 4,
8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 8, 4, 2, 4,
2, 10, 2, 10, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 4,
8, 4, 6, 8, 6, 4, 2, 4, 8, 10, 6, 6, 6, 2, 6, 6,
4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6,
2, 10, 2, 10, 6, 8, 12, 10, 8, 4, 2, 4, 2, 4, 8, 10,
6, 6, 14, 6, 4, 2, 10, 2, 6, 4, 6, 2, 10, 2, 10, 2,
4, 6, 6, 8, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12,
2, 4, 2, 4, 8, 6, 4, 8, 4, 8, 6, 6, 6, 4, 6, 8,
4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 10, 6, 6, 8,
6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 18, 6, 2, 4, 6,
2, 6, 6, 4, 12, 2, 6, 6, 4, 12, 2, 10, 2, 4, 6, 6,
2, 6, 6, 16, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 2, 18,
4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 6, 10,
2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2,
10, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 12, 6, 6, 10,
6, 2, 6, 4, 2, 4, 2, 10, 14, 4, 2, 10, 2, 12, 4, 6,
6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 6, 8, 6, 4, 6, 2,
10, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 12, 14, 4, 2, 4,
6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4,
6, 2, 18, 4, 18, 2, 6, 6, 4, 2, 4, 6, 2, 12, 4, 2,
12, 10, 2, 4, 2, 4, 8, 6, 4, 6, 6, 8, 6, 4, 2, 6,
4, 6, 12, 2, 4, 6, 8, 6, 12, 4, 6, 2, 6, 10, 2, 4,
6, 2, 6, 4, 2, 16, 2, 10, 2, 4, 2, 10, 8, 4, 2, 4,
12, 2, 6, 4, 2, 6, 10, 12, 2, 4, 6, 8, 6, 4, 6, 2,
4, 6, 2, 6, 10, 2, 4, 6, 2, 10, 6, 2, 10, 2, 10, 2,
10, 8, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2,
10, 2, 4, 2, 10, 14, 4, 2, 4, 8, 6, 4, 2, 4, 12, 2,
6, 4, 12, 6, 8, 4, 2, 4, 2, 12, 6, 10, 6, 6, 2, 12,
4, 2, 4, 6, 8, 4, 2, 4, 2, 12, 10, 2, 6, 4, 6, 2,
6, 4, 2, 4, 6, 6, 8, 4, 8, 10, 8, 4, 8, 4, 8, 10,
6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 6, 2, 12, 10,
2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 12, 6, 4, 6,
8, 6, 4, 2, 4, 8, 10, 8, 4, 6, 2, 6, 6, 4, 6, 14,
4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 10,
14, 4, 8, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4,
6, 8, 10, 6, 6, 2, 6, 6, 6, 10, 2, 10, 2, 4, 6, 6,
2, 6, 4, 2, 10, 6, 2, 6, 6, 6, 4, 18, 2, 4, 2, 12,
6, 4, 6, 2, 4, 8, 12, 4, 2, 4, 8, 6, 6, 4, 2, 10,
2, 10, 8, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 16,
8, 6, 4, 2, 4, 14, 4, 6, 2, 4, 6, 8, 6, 6, 10, 2,
6, 4, 2, 4, 12, 12, 2, 4, 2, 10, 2, 6, 10, 6, 6, 2,
10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4,
6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 16, 2, 16, 2, 4,
6, 2, 10, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2,
4, 2, 4, 14, 4, 6, 12, 2, 6, 6, 4, 12, 2, 10, 2, 4,
2, 12, 12, 4, 2, 4, 6, 12, 6, 6, 6, 2, 6, 4, 2, 6,
4, 14, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 6,
4, 6, 2, 6, 4, 8, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4,
2, 4, 20, 4, 2, 6, 4, 6, 12, 2, 4, 2, 12, 10, 6, 6,
6, 2, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2,
4, 6, 6, 2, 6, 6, 4, 14, 6, 4, 2, 6, 4, 6, 8, 4,
2, 6, 4, 14, 4, 8, 4, 6, 8, 10, 2, 10, 2, 6, 4, 2,
4, 2, 10, 2, 10, 6, 2, 4, 14, 4, 2, 10, 6, 2, 6, 4,
8, 10, 8, 4, 2, 4, 6, 8, 6, 4, 6, 6, 8, 6, 6, 4,
2, 4, 6, 2, 10, 2, 4, 2, 10, 2, 10, 2, 6, 4, 8, 6,
6, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 10, 8, 10, 6,
2, 12, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2,
4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 6, 6, 10, 6, 8,
4, 6, 2, 4, 8, 6, 12, 4, 6, 2, 12, 4, 2, 4, 6, 8,
4, 2, 4, 2, 12, 10, 2, 4, 2, 4, 8, 10, 2, 4, 6, 8,
6, 4, 2, 6, 4, 6, 12, 6, 2, 4, 8, 6, 10, 2, 4, 6,
2, 6, 6, 4, 6, 6, 8, 6, 4, 12, 2, 10, 2, 4, 2, 10,
2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 4,
2, 12, 10, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 6,
2, 10, 2, 10, 8, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4,
12, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6,
6, 4, 6, 2, 10, 2, 4, 2, 10, 14, 4, 12, 2, 6, 4, 2,
4, 6, 6, 2, 12, 10, 18, 2, 4, 2, 12, 6, 4, 6, 2, 4,
8, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 12, 6, 4,
6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2,
6, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 10, 2, 10, 2,
4, 14, 10, 2, 4, 2, 4, 6, 2, 6, 10, 6, 6, 2, 10, 2,
6, 4, 6, 8, 6, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6,
4, 6, 6, 2, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6, 8,
4, 2, 4, 12, 8, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8,
6, 4, 6, 2, 10, 2, 6, 10, 6, 6, 2, 6, 4, 2, 6, 10,
2, 12, 4, 6, 6, 2, 12, 4, 6, 6, 2, 6, 4, 2, 6, 4,
14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 14, 6, 10, 2,
6, 10, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6,
6, 8, 4, 8, 10, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6,
8, 6, 4, 2, 4, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 6,
4, 6, 2, 6, 4, 6, 6, 14, 4, 2, 6, 10, 8, 4, 2, 4,
2, 4, 8, 10, 8, 4, 8, 6, 10, 2, 4, 8, 6, 4, 6, 2,
10, 2, 10, 2, 4, 2, 4, 6, 12, 2, 4, 6, 6, 2, 6, 6,
6, 10, 8, 4, 2, 4, 6, 8, 6, 4, 12, 6, 2, 6, 6, 4,
2, 10, 12, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 18, 2, 4,
6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6,
2, 4, 6, 2, 6, 6, 10, 6, 2, 6, 6, 4, 2, 10, 12, 2,
4, 2, 4, 6, 2, 6, 4, 2, 18, 6, 4, 2, 10, 6, 8, 4,
2, 4, 2, 12, 16, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4,
2, 4, 2, 12, 10, 6, 6, 6, 2, 6, 4, 2, 4, 12, 2, 6,
4, 2, 10, 6, 8, 10, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6,
6, 6, 4, 6, 8, 4, 2, 4, 2, 10, 12, 6, 2, 10, 2, 6,
4, 2, 10, 6, 2, 10, 2, 6, 4, 14, 6, 4, 2, 4, 8, 10,
6, 2, 4, 8, 6, 6, 4, 2, 4, 8, 6, 4, 2, 4, 12, 2,
12, 4, 2, 4, 6, 2, 6, 6, 10, 6, 2, 6, 4, 8, 4, 6,
8, 4, 2, 4, 6, 14, 4, 6, 2, 10, 8, 6, 4, 2, 4, 6,
2, 10, 2, 4, 2, 22, 2, 4, 6, 6, 2, 6, 4, 6, 6, 6,
2, 6, 6, 6, 4, 6, 12, 6, 6, 8, 6, 12, 4, 8, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 6, 4, 14,
4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 14,
10, 2, 4, 6, 2, 6, 10, 2, 10, 2, 6, 4, 2, 4, 12, 2,
10, 2, 4, 12, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 6,
8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2,
10, 2, 6, 4, 8, 10, 2, 10, 8, 4, 8, 6, 4, 2, 4, 6,
6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4,
6, 12, 2, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 10, 2, 12,
6, 4, 6, 2, 10, 2, 4, 6, 6, 8, 4, 2, 24, 4, 2, 4,
2, 12, 10, 6, 2, 4, 8, 6, 6, 6, 4, 6, 8, 4, 6, 2,
10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8,
12, 4, 6, 8, 4, 2, 6, 12, 6, 4, 12, 6, 2, 6, 6, 4,
2, 4, 6, 8, 6, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 10,
2, 4, 6, 8, 10, 2, 6, 4, 6, 8, 10, 2, 4, 8, 6, 4,
8, 4, 6, 2, 6, 10, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10,
2, 4, 2, 4, 6, 8, 4, 2, 10, 6, 8, 4, 2, 6, 10, 8,
4, 2, 4, 14, 6, 4, 6, 2, 4, 6, 2, 16, 2, 4, 8, 10,
2, 6, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2,
6, 4, 2, 10, 14, 6, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2,
12, 6, 4, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4, 2, 10, 2,
6, 4, 2, 4, 12, 2, 10, 2, 24, 4, 2, 4, 2, 4, 8, 6,
10, 2, 4, 6, 14, 4, 2, 4, 6, 2, 6, 4, 2, 4, 14, 12,
4, 2, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 6, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2,
4, 18, 2, 4, 2, 12, 10, 2, 4, 2, 10, 2, 10, 6, 6, 6,
2, 6, 6, 6, 4, 6, 8, 6, 4, 6, 8, 16, 6, 6, 2, 6,
6, 4, 2, 12, 6, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 6,
8, 4, 2, 16, 2, 6, 4, 8, 4, 6, 12, 2, 4, 2, 4, 8,
6, 4, 6, 2, 4, 6, 8, 12, 4, 6, 2, 6, 4, 2, 4, 2,
10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 8, 6, 6, 6,
4, 6, 12, 2, 6, 4, 8, 10, 6, 2, 4, 14, 6, 4, 2, 10,
2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 10, 8, 6, 4, 6, 12,
2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 6,
6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 8,
4, 6, 2, 6, 6, 10, 6, 12, 2, 6, 10, 8, 4, 2, 4, 2,
4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4,
8, 10, 2, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 6,
6, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 4, 8, 10, 2, 6,
6, 4, 6, 6, 8, 4, 2, 4, 2, 10, 14, 4, 2, 4, 6, 2,
10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 14, 4, 6, 2, 4, 8,
6, 4, 8, 4, 6, 2, 6, 6, 10, 6, 2, 6, 10, 2, 10, 2,
10, 2, 4, 2, 4, 8, 6, 4, 2, 10, 6, 8, 4, 2, 6, 4,
6, 12, 2, 4, 2, 12, 6, 10, 6, 6, 2, 12, 4, 2, 4, 8,
6, 6, 4, 12, 2, 10, 6, 2, 10, 2, 6, 4, 2, 4, 6, 8,
6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4, 8, 4, 6,
2, 6, 12, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2, 6, 10, 8,
4, 2, 4, 6, 6, 2, 10, 2, 6, 18, 4, 2, 4, 6, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4,
12, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4,
2, 10, 6, 8, 4, 2, 6, 18, 4, 6, 2, 10, 2, 6, 6, 4,
2, 4, 6, 12, 2, 4, 2, 22, 2, 4, 2, 4, 6, 2, 6, 4,
6, 12, 2, 6, 4, 12, 6, 8, 4, 2, 10, 8, 6, 10, 2, 4,
6, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 6, 12, 10, 2, 4,
2, 4, 6, 8, 4, 2, 4, 12, 2, 10, 2, 6, 4, 6, 18, 2,
4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 6, 6, 8, 4, 2,
4, 2, 10, 2, 10, 2, 4, 12, 2, 6, 6, 4, 6, 6, 8, 4,
2, 6, 4, 6, 8, 6, 6, 4, 8, 10, 6, 2, 4, 6, 8, 10,
2, 12, 6, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4,
2, 10, 6, 2, 6, 4, 8, 4, 14, 4, 2, 4, 2, 4, 8, 6,
4, 6, 6, 6, 14, 4, 2, 4, 6, 2, 6, 6, 4, 2, 10, 2,
10, 2, 10, 6, 2, 6, 4, 2, 4, 6, 6, 8, 6, 6, 10, 12,
2, 4, 2, 4, 8, 10, 6, 2, 4, 14, 6, 4, 2, 4, 6, 2,
6, 4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6,
6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 8,
4, 6, 2, 6, 6, 4, 2, 18, 4, 2, 4, 12, 2, 10, 2, 4,
2, 4, 6, 2, 12, 4, 6, 8, 12, 6, 4, 6, 8, 4, 6, 2,
4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 12, 2, 6, 6, 6,
10, 2, 10, 6, 2, 4, 6, 8, 4, 2, 10, 6, 2, 6, 4, 2,
6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2, 10, 2, 12,
10, 8, 6, 4, 2, 4, 2, 10, 2, 16, 2, 4, 6, 2, 10, 2,
4, 6, 8, 6, 4, 2, 10, 14, 6, 4, 2, 4, 8, 10, 6, 2,
4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2,
4, 12, 2, 6, 4, 2, 4, 12, 12, 2, 6, 4, 14, 4, 2, 4,
2, 18, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 6,
4, 12, 2, 16, 2, 4, 6, 2, 6, 4, 2, 10, 8, 6, 4, 2,
6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 8, 12, 6, 10, 2,
4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 8, 10,
6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8, 6, 10,
2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6, 10, 12, 2,
4, 2, 4, 14, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 12,
8, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6,
4, 2, 4, 2, 10, 12, 2, 4, 6, 8, 6, 6, 4, 12, 2, 6,
4, 2, 10, 6, 12, 2, 6, 4, 8, 6, 10, 2, 4, 6, 14, 4,
2, 10, 2, 6, 4, 2, 4, 14, 10, 2, 4, 2, 12, 6, 4, 2,
4, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 6, 2, 4, 8, 6,
4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 6, 2, 10,
2, 10, 2, 6, 10, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6,
10, 8, 6, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2,
4, 8, 10, 6, 2, 10, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2,
10, 6, 2, 6, 16, 6, 8, 4, 2, 4, 2, 12, 6, 4, 8, 4,
6, 8, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2,
4, 6, 6, 2, 10, 2, 4, 6, 8, 6, 12, 4, 6, 12, 8, 4,
8, 6, 4, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 6, 6, 4,
2, 12, 10, 2, 6, 4, 6, 2, 6, 4, 12, 6, 2, 10, 2, 6,
4, 6, 8, 6, 4, 2, 18, 4, 6, 2, 4, 6, 2, 12, 4, 14,
6, 4, 2, 4, 12, 2, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6,
6, 12, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4,
6, 2, 6, 12, 4, 6, 2, 6, 4, 2, 6, 10, 12, 6, 2, 10,
2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4,
2, 4, 8, 6, 4, 6, 2, 10, 2, 12, 4, 6, 6, 2, 6, 6,
4, 12, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6,
4, 2, 6, 18, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 8, 6,
6, 4, 6, 2, 10, 6, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6,
4, 6, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 14, 6,
10, 6, 6, 2, 6, 6, 4, 2, 4, 8, 6, 6, 6, 10, 2, 10,
2, 4, 2, 4, 6, 12, 2, 4, 14, 6, 6, 6, 4, 6, 12, 2,
4, 2, 4, 8, 6, 4, 12, 6, 2, 6, 10, 2, 10, 2, 6, 4,
2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 8, 6, 4, 6, 6, 2,
6, 4, 2, 6, 10, 8, 4, 2, 10, 8, 6, 4, 6, 2, 4, 6,
8, 6, 6, 10, 2, 10, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4,
8, 6, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 4, 2, 6,
4, 8, 10, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4,
2, 4, 2, 10, 12, 2, 10, 6, 2, 6, 4, 2, 4, 12, 8, 4,
2, 16, 8, 4, 2, 4, 2, 4, 24, 2, 4, 8, 12, 4, 2, 4,
6, 2, 6, 4, 6, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4, 2,
10, 6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4,
8, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2,
10, 2, 4, 2, 10, 2, 12, 4, 6, 8, 6, 4, 2, 6, 4, 6,
8, 10, 6, 8, 10, 6, 2, 10, 2, 6, 6, 4, 6, 8, 6, 6,
4, 2, 10, 12, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2,
6, 4, 8, 4, 6, 8, 4, 6, 2, 12, 6, 4, 8, 4, 6, 14,
4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 6, 8, 6,
4, 2, 4, 6, 6, 2, 6, 6, 10, 6, 14, 4, 2, 4, 8, 6,
10, 2, 4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 12, 12,
2, 6, 10, 2, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4, 14, 4,
2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 10,
2, 6, 4, 6, 12, 2, 12, 6, 4, 6, 2, 6, 6, 4, 6, 6,
2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2,
10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6, 12, 16, 2, 4,
6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 10, 6, 8, 4, 2,
4, 14, 6, 10, 2, 10, 2, 6, 6, 4, 6, 6, 8, 4, 2, 6,
10, 2, 12, 4, 2, 4, 6, 12, 2, 4, 12, 2, 6, 4, 8, 4,
18, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 12, 4, 6,
2, 6, 4, 6, 2, 12, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6,
6, 12, 2, 6, 4, 6, 8, 6, 6, 12, 6, 4, 6, 6, 6, 8,
6, 4, 12, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8,
6, 4, 2, 4, 6, 14, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4,
8, 6, 4, 12, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6,
10, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 6, 6, 8, 4, 2,
6, 18, 4, 2, 4, 6, 8, 10, 6, 2, 4, 8, 12, 4, 2, 4,
6, 2, 16, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4,
6, 6, 2, 6, 6, 6, 10, 8, 4, 2, 6, 4, 8, 6, 4, 8,
4, 6, 8, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 12, 2,
4, 2, 4, 6, 2, 10, 6, 14, 6, 4, 2, 10, 6, 8, 4, 6,
2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 4, 6, 8, 6, 6, 4,
2, 12, 10, 2, 4, 2, 4, 6, 2, 10, 2, 10, 6, 2, 6, 6,
6, 4, 6, 8, 4, 6, 2, 12, 6, 4, 6, 6, 6, 2, 12, 4,
2, 18, 4, 2, 4, 2, 10, 2, 10, 6, 2, 10, 8, 4, 2, 4,
6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 10, 6,
2, 4, 6, 2, 6, 6, 6, 4, 8, 6, 4, 2, 4, 2, 10, 12,
2, 4, 2, 10, 2, 6, 4, 2, 10, 8, 10, 8, 4, 14, 4, 2,
4, 2, 4, 8, 10, 6, 2, 4, 6, 8, 6, 4, 2, 4, 6, 2,
6, 4, 2, 4, 12, 2, 12, 4, 6, 6, 2, 6, 4, 2, 4, 12,
2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 14, 4, 6, 2, 12,
6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 8, 4, 6,
2, 6, 4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4,
6, 14, 10, 2, 4, 8, 6, 6, 4, 2, 10, 2, 6, 4, 2, 16,
2, 10, 2, 4, 2, 4, 6, 8, 6, 4, 12, 2, 10, 2, 6, 4,
6, 12, 2, 4, 6, 8, 6, 4, 6, 2, 10, 2, 6, 10, 2, 4,
6, 2, 6, 4, 2, 6, 10, 12, 6, 6, 6, 2, 6, 6, 4, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 8,
10, 8, 6, 4, 12, 2, 6, 4, 2, 4, 2, 10, 2, 12, 4, 2,
4, 8, 10, 2, 4, 6, 6, 2, 6, 4, 8, 4, 18, 2, 4, 2,
4, 8, 6, 10, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6,
12, 2, 10, 2, 6, 10, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2,
6, 10, 8, 4, 2, 4, 2, 12, 10, 6, 6, 8, 6, 6, 4, 2,
4, 6, 2, 6, 10, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4,
2, 4, 6, 8, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8,
6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 12, 2, 4, 2, 10,
2, 12, 4, 2, 4, 6, 12, 2, 4, 6, 8, 6, 4, 2, 16, 8,
4, 6, 14, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 14,
4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 10, 6, 2,
6, 4, 8, 4, 6, 8, 4, 2, 6, 12, 6, 4, 6, 2, 4, 6,
2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 22, 6, 2, 4, 6,
2, 6, 4, 2, 4, 12, 2, 10, 2, 10, 6, 8, 6, 4, 2, 4,
8, 6, 10, 2, 4, 6, 2, 12, 10, 6, 2, 6, 4, 2, 4, 2,
22, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 12, 2, 6, 4,
14, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 2,
4, 6, 8, 4, 2, 16, 2, 12, 4, 2, 10, 2, 6, 4, 2, 4,
6, 6, 2, 6, 4, 2, 6, 4, 14, 6, 4, 2, 4, 18, 6, 2,
10, 2, 12, 4, 2, 4, 8, 12, 4, 2, 12, 10, 2, 4, 2, 4,
6, 2, 6, 4, 12, 6, 2, 6, 4, 8, 10, 8, 4, 2, 4, 6,
8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2,
6, 10, 2, 10, 2, 4, 6, 6, 8, 4, 6, 12, 2, 6, 6, 6,
4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 10,
2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 2, 10, 6, 2, 16,
6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6,
6, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2,
4, 2, 4, 14, 6, 4, 6, 6, 2, 10, 8, 4, 6, 8, 4, 2,
4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 2,
6, 4, 2, 6, 10, 2, 10, 8, 4, 6, 2, 6, 4, 2, 4, 6,
14, 4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 2, 12,
6, 6, 4, 6, 6, 2, 6, 4, 6, 2, 10, 2, 12, 4, 6, 6,
2, 10, 2, 4, 12, 2, 6, 6, 6, 4, 14, 4, 2, 4, 2, 4,
14, 4, 8, 4, 6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 10,
2, 10, 6, 2, 4, 6, 2, 10, 2, 10, 14, 4, 2, 6, 4, 6,
8, 4, 6, 2, 12, 6, 4, 6, 6, 8, 6, 6, 4, 6, 6, 2,
6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 6, 10,
8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 14, 6, 4, 8, 10,
2, 16, 2, 4, 8, 6, 4, 2, 4, 2, 10, 12, 6, 2, 4, 6,
8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 16, 8, 10, 6, 8, 6,
4, 8, 4, 6, 2, 6, 6, 6, 4, 6, 2, 10, 2, 4, 2, 10,
12, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4,
18, 2, 6, 4, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4,
6, 2, 6, 4, 2, 4, 12, 14, 4, 2, 10, 2, 6, 4, 2, 4,
12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 2, 4, 14, 10, 2,
10, 2, 12, 4, 2, 4, 6, 2, 10, 6, 2, 12, 10, 2, 6, 4,
6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
6, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 12,
2, 6, 10, 2, 12, 4, 2, 10, 8, 4, 2, 4, 12, 2, 6, 4,
2, 10, 6, 14, 4, 2, 12, 10, 6, 2, 4, 6, 2, 6, 10, 2,
4, 14, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6,
10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4,
6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 12,
10, 2, 4, 6, 8, 6, 4, 2, 4, 6, 6, 2, 18, 4, 6, 14,
4, 2, 4, 8, 6, 4, 6, 6, 8, 6, 6, 4, 6, 6, 2, 6,
4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6,
6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 18, 6, 2, 4,
8, 6, 10, 2, 10, 2, 6, 4, 18, 2, 10, 2, 4, 2, 4, 6,
2, 6, 6, 4, 6, 6, 2, 12, 6, 4, 14, 4, 2, 4, 2, 4,
8, 6, 4, 8, 4, 6, 2, 12, 4, 2, 4, 6, 8, 6, 6, 10,
2, 10, 6, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6,
10, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2, 10, 8, 6, 4, 6,
6, 2, 6, 6, 4, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 12,
6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 12, 6, 4, 6,
2, 4, 6, 2, 12, 6, 4, 8, 6, 4, 6, 2, 10, 2, 10, 6,
2, 4, 6, 2, 10, 2, 4, 6, 6, 8, 6, 10, 6, 8, 6, 4,
2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 6, 10, 2, 6, 6, 4,
2, 10, 12, 2, 4, 2, 10, 8, 4, 2, 4, 6, 8, 10, 2, 6,
4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 12,
4, 6, 2, 6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 8, 4,
2, 4, 6, 8, 6, 4, 2, 6, 10, 8, 4, 2, 4, 6, 18, 6,
2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10,
2, 4, 6, 8, 6, 4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 8,
4, 2, 10, 14, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2,
6, 4, 2, 6, 10, 12, 6, 2, 4, 6, 8, 4, 2, 16, 2, 6,
4, 2, 10, 6, 12, 2, 4, 2, 4, 8, 6, 10, 2, 4, 8, 16,
2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10, 2, 4, 6, 6, 2,
6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 12, 8,
6, 4, 6, 2, 10, 8, 6, 4, 2, 10, 8, 4, 2, 4, 2, 10,
12, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2, 6, 4, 8, 4,
6, 8, 10, 2, 4, 8, 10, 12, 6, 2, 6, 6, 4, 2, 4, 8,
6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 8, 6, 4, 2, 10,
6, 8, 4, 8, 10, 12, 2, 4, 2, 4, 8, 16, 2, 4, 14, 6,
4, 2, 4, 6, 2, 6, 4, 6, 12, 2, 10, 2, 4, 12, 2, 6,
4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 4,
8, 6, 4, 8, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 6, 2,
10, 2, 10, 2, 6, 4, 6, 2, 10, 6, 6, 8, 6, 4, 2, 6,
4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6,
4, 12, 2, 12, 4, 12, 2, 12, 4, 2, 4, 6, 2, 6, 6, 10,
6, 2, 10, 2, 10, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2,
4, 6, 2, 12, 4, 2, 4, 14, 4, 2, 6, 10, 2, 10, 6, 2,
4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 12, 6, 8, 6,
6, 4, 8, 6, 4, 6, 2, 10, 2, 6, 6, 10, 6, 2, 6, 4,
2, 4, 2, 24, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 10, 2,
6, 4, 14, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6,
6, 10, 6, 2, 6, 4, 6, 12, 2, 12, 4, 2, 4, 6, 2, 6,
4, 2, 4, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2,
18, 4, 6, 12, 2, 6, 10, 2, 4, 6, 2, 12, 6, 12, 10, 2,
4, 2, 4, 6, 2, 6, 4, 6, 6, 8, 6, 4, 2, 6, 4, 14,
4, 2, 4, 6, 8, 6, 12, 4, 6, 2, 16, 2, 4, 6, 2, 6,
6, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2,
6, 4, 2, 6, 10, 12, 2, 4, 6, 8, 6, 4, 6, 2, 4, 6,
8, 10, 2, 4, 6, 2, 10, 2, 4, 2, 10, 2, 10, 2, 4, 6,
8, 6, 10, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6,
4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 12, 6, 4, 2,
4, 2, 10, 12, 2, 4, 2, 4, 8, 10, 2, 4, 12, 2, 6, 16,
6, 8, 4, 2, 4, 2, 4, 8, 6, 10, 6, 6, 2, 12, 4, 2,
10, 2, 6, 4, 2, 4, 2, 12, 10, 2, 6, 4, 6, 8, 4, 2,
4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 6, 2, 4, 8, 10, 6,
2, 4, 8, 6, 6, 6, 4, 6, 8, 4, 6, 2, 10, 2, 10, 2,
4, 2, 10, 2, 6, 4, 2, 4, 6, 8, 6, 6, 6, 4, 6, 8,
6, 4, 2, 4, 8, 10, 8, 4, 6, 2, 6, 6, 4, 2, 4, 14,
4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 10, 2, 18, 6,
4, 8, 4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 2, 4, 6, 8,
6, 4, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 6, 6, 6, 2,
6, 4, 2, 10, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 12,
6, 4, 6, 2, 4, 8, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2,
10, 2, 10, 8, 4, 6, 2, 6, 10, 6, 6, 2, 6, 4, 2, 10,
6, 8, 6, 4, 6, 14, 4, 6, 2, 10, 2, 6, 6, 6, 10, 2,
6, 4, 2, 4, 12, 12, 2, 4, 2, 10, 2, 6, 6, 4, 6, 6,
2, 10, 2, 6, 4, 14, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6,
2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 16, 2, 16, 2, 4,
8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 12, 2,
4, 2, 4, 14, 10, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2,
4, 14, 12, 4, 2, 10, 2, 10, 6, 6, 6, 2, 6, 4, 2, 6,
4, 14, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 6,
4, 6, 2, 6, 4, 8, 10, 2, 10, 2, 6, 4, 6, 8, 4, 2,
4, 12, 8, 4, 2, 6, 4, 6, 12, 2, 4, 2, 12, 6, 4, 6,
6, 6, 2, 6, 10, 2, 4, 6, 2, 12, 4, 2, 10, 2, 12, 4,
6, 6, 2, 6, 6, 4, 6, 8, 6, 4, 2, 10, 6, 8, 4, 2,
6, 12, 6, 4, 8, 4, 6, 8, 10, 2, 10, 8, 4, 2, 4, 2,
10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 4, 6, 6, 2, 6, 4,
8, 10, 8, 4, 2, 10, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4,
2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 6, 4, 8, 6, 4,
2, 4, 6, 6, 12, 2, 6, 10, 8, 6, 6, 4, 8, 10, 6, 2,
4, 8, 6, 6, 4, 6, 6, 2, 6, 4, 6, 2, 10, 12, 2, 4,
2, 4, 6, 2, 6, 4, 2, 4, 12, 8, 6, 10, 6, 8, 4, 2,
4, 2, 4, 8, 6, 12, 4, 6, 2, 16, 2, 4, 6, 8, 4, 2,
6, 12, 10, 2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4,
2, 6, 4, 14, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2,
12, 4, 6, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2,
6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 10, 8, 6, 4, 2, 12,
10, 6, 2, 4, 6, 14, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10,
2, 10, 6, 2, 4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 12, 6,
8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 6, 4,
8, 6, 4, 2, 4, 2, 10, 12, 2, 4, 12, 2, 10, 2, 4, 6,
6, 2, 12, 6, 4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 6, 8,
6, 6, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 12, 6, 4, 6,
8, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4,
2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 6, 10, 2, 10, 2, 4,
14, 10, 2, 4, 2, 4, 6, 2, 6, 10, 6, 8, 10, 2, 6, 4,
6, 8, 4, 2, 4, 6, 8, 16, 2, 4, 6, 2, 6, 6, 4, 2,
4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 6, 6, 6, 8, 4, 2,
4, 12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 14, 4,
6, 2, 10, 2, 6, 10, 6, 6, 2, 6, 4, 2, 4, 2, 10, 2,
16, 6, 6, 2, 12, 10, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2,
6, 4, 8, 6, 4, 6, 2, 4, 14, 6, 6, 10, 2, 6, 4, 6,
2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 6, 4, 6, 6, 8, 4,
8, 4, 6, 8, 4, 2, 4, 14, 6, 4, 6, 12, 2, 6, 6, 4,
2, 4, 6, 2, 6, 6, 4, 2, 10, 12, 2, 6, 4, 6, 2, 6,
4, 2, 4, 6, 14, 4, 2, 6, 10, 8, 4, 6, 2, 4, 8, 10,
8, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10,
2, 4, 2, 4, 14, 4, 2, 4, 6, 6, 2, 6, 6, 6, 10, 12,
2, 4, 6, 8, 6, 12, 4, 6, 2, 6, 6, 4, 2, 4, 6, 12,
2, 4, 12, 2, 10, 2, 4, 2, 12, 10, 2, 4, 6, 8, 6, 4,
2, 6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6, 2,
6, 6, 4, 6, 6, 2, 6, 10, 2, 10, 12, 2, 6, 4, 6, 2,
6, 4, 2, 16, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 2, 12,
6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 8, 10, 2, 4, 2, 12,
16, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10,
6, 8, 10, 2, 12, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2,
4, 6, 6, 2, 10, 8, 4, 14, 6, 6, 4, 8, 10, 6, 2, 4,
6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 4, 14, 12, 4, 2,
4, 6, 2, 6, 4, 2, 10, 6, 2, 10, 8, 4, 6, 8, 6, 4,
2, 4, 14, 4, 6, 2, 10, 8, 6, 4, 6, 6, 2, 10, 2, 4,
2, 12, 10, 2, 4, 6, 6, 2, 6, 4, 6, 6, 6, 8, 6, 6,
4, 6, 12, 2, 4, 6, 8, 6, 10, 2, 4, 8, 6, 10, 2, 4,
6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 6, 4, 6, 8, 4, 6,
12, 2, 6, 4, 2, 6, 4, 18, 2, 4, 2, 4, 14, 4, 6, 2,
4, 6, 2, 16, 2, 10, 2, 6, 6, 4, 12, 2, 10, 2, 4, 6,
6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 10, 8, 4, 2, 6,
4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4,
2, 6, 10, 2, 10, 6, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6,
4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6, 12, 2,
6, 6, 4, 6, 8, 6, 4, 2, 4, 2, 10, 2, 12, 6, 4, 6,
2, 10, 2, 4, 6, 6, 8, 6, 6, 18, 4, 2, 4, 2, 4, 8,
10, 6, 6, 8, 6, 6, 6, 10, 2, 6, 4, 6, 2, 10, 2, 10,
2, 4, 2, 4, 6, 8, 4, 2, 4, 6, 6, 8, 6, 6, 4, 6,
8, 4, 2, 4, 2, 12, 6, 4, 12, 6, 2, 6, 6, 6, 4, 6,
8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 4,
6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 10, 8,
4, 6, 2, 6, 10, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2,
4, 6, 6, 8, 4, 2, 16, 2, 6, 4, 2, 6, 10, 8, 4, 2,
4, 20, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 10, 2, 4,
2, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4,
2, 10, 6, 8, 6, 6, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6,
6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 2,
6, 6, 4, 12, 2, 10, 2, 10, 14, 4, 2, 4, 6, 8, 6, 10,
2, 10, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 26, 4, 2,
4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6,
8, 4, 6, 2, 4, 14, 4, 8, 10, 2, 6, 6, 4, 2, 4, 6,
12, 2, 4, 2, 12, 10, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2,
6, 4, 2, 6, 4, 6, 14, 4, 6, 8, 16, 2, 4, 6, 2, 6,
6, 4, 2, 4, 8, 6, 4, 2, 16, 2, 10, 2, 4, 2, 10, 8,
4, 2, 16, 2, 6, 4, 8, 4, 6, 12, 2, 4, 2, 4, 8, 6,
4, 6, 2, 4, 6, 8, 10, 2, 4, 6, 2, 6, 4, 6, 2, 10,
2, 10, 2, 10, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6, 6, 4,
6, 12, 2, 6, 4, 8, 6, 4, 6, 2, 4, 14, 6, 4, 2, 10,
2, 10, 2, 4, 2, 10, 2, 12, 6, 4, 8, 6, 4, 6, 6, 6,
2, 6, 4, 12, 6, 8, 4, 2, 4, 2, 18, 4, 6, 6, 6, 2,
6, 6, 4, 2, 10, 8, 4, 2, 4, 12, 2, 10, 2, 6, 4, 6,
2, 6, 6, 4, 6, 6, 12, 8, 10, 8, 4, 2, 6, 4, 8, 10,
6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 8, 12, 10,
6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 12, 6, 4, 6,
8, 6, 4, 2, 4, 8, 6, 4, 8, 10, 2, 6, 6, 4, 6, 6,
8, 4, 2, 4, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4,
6, 14, 4, 2, 6, 4, 14, 4, 6, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 16, 6, 2, 6, 12, 10, 2, 10, 2, 4, 2, 4,
6, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 4, 14, 4, 2, 4,
2, 12, 6, 4, 6, 6, 6, 2, 12, 4, 2, 4, 8, 6, 6, 4,
2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6,
4, 2, 16, 8, 6, 4, 2, 4, 8, 6, 4, 8, 4, 6, 8, 12,
4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 8, 4,
6, 6, 6, 2, 10, 2, 6, 18, 4, 2, 4, 6, 8, 6, 4, 6,
2, 4, 6, 2, 6, 6, 4, 2, 4, 8, 10, 2, 4, 12, 2, 12,
4, 2, 4, 8, 10, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8,
4, 2, 6, 4, 14, 4, 6, 12, 2, 6, 6, 4, 2, 10, 2, 10,
2, 4, 2, 22, 2, 4, 2, 4, 6, 8, 4, 6, 12, 2, 6, 4,
2, 10, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 12,
6, 4, 6, 2, 6, 4, 2, 6, 12, 10, 2, 4, 2, 4, 6, 8,
4, 2, 4, 14, 6, 4, 2, 6, 4, 6, 12, 6, 2, 4, 8, 10,
6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2, 4, 2, 10,
2, 10, 2, 4, 12, 2, 6, 6, 4, 12, 2, 6, 4, 2, 6, 4,
6, 8, 6, 6, 4, 18, 6, 2, 4, 6, 8, 6, 4, 2, 12, 6,
4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 10, 6,
2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6,
6, 14, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10,
2, 10, 6, 2, 6, 6, 4, 6, 6, 8, 6, 6, 10, 12, 2, 4,
6, 8, 10, 6, 2, 12, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6,
2, 10, 12, 2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 6,
6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 8, 4, 6, 2, 6, 6,
4, 2, 10, 8, 4, 2, 4, 12, 2, 10, 2, 4, 2, 4, 8, 12,
4, 6, 8, 10, 2, 6, 4, 6, 12, 6, 2, 4, 8, 6, 10, 2,
4, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6, 16, 2, 10, 6, 2,
10, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
2, 4, 2, 12, 6, 4, 6, 2, 10, 2, 12, 4, 6, 8, 6, 4,
6, 2, 10, 2, 18, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 4,
2, 10, 14, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6,
6, 6, 4, 6, 2, 10, 6, 2, 10, 14, 4, 2, 10, 2, 6, 4,
2, 4, 6, 6, 12, 2, 10, 14, 4, 2, 4, 2, 12, 6, 4, 6,
6, 6, 2, 6, 6, 4, 2, 4, 6, 8, 6, 4, 12, 2, 12, 4,
2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6, 8,
4, 2, 6, 4, 14, 4, 8, 10, 2, 6, 10, 2, 4, 6, 2, 10,
2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 8, 4, 6, 6, 6, 2,
10, 2, 6, 10, 8, 6, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6,
6, 4, 6, 6, 2, 10, 2, 6, 10, 2, 10, 2, 4, 2, 4, 14,
4, 2, 4, 12, 8, 4, 2, 6, 4, 6, 12, 2, 6, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6,
10, 12, 2, 4, 6, 6, 2, 6, 6, 4, 12, 2, 6, 4, 2, 10,
14, 4, 2, 6, 4, 8, 6, 10, 2, 4, 6, 14, 4, 2, 10, 2,
6, 6, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6,
6, 2, 6, 4, 8, 10, 8, 4, 6, 2, 4, 8, 6, 4, 6, 6,
6, 8, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2,
6, 10, 2, 6, 4, 6, 6, 6, 8, 4, 2, 6, 10, 8, 6, 4,
2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 8, 6, 4,
6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 10, 6, 2,
6, 12, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 12, 6, 8,
6, 4, 2, 10, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6,
12, 2, 4, 6, 8, 6, 6, 6, 4, 6, 12, 6, 2, 4, 8, 6,
4, 6, 2, 4, 8, 6, 6, 10, 6, 2, 6, 6, 4, 2, 10, 2,
10, 2, 6, 4, 6, 2, 6, 4, 12, 8, 6, 4, 2, 6, 4, 6,
8, 4, 2, 4, 2, 22, 6, 2, 4, 6, 2, 12, 4, 2, 12, 6,
4, 2, 4, 12, 2, 10, 6, 6, 6, 2, 6, 6, 4, 12, 2, 10,
2, 10, 6, 8, 6, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6,
6, 6, 4, 6, 2, 6, 4, 2, 6, 10, 12, 6, 2, 10, 2, 6,
4, 2, 10, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8,
6, 4, 6, 2, 12, 6, 6, 4, 6, 6, 2, 6, 4, 2, 4, 12,
2, 12, 4, 2, 4, 6, 2, 12, 4, 6, 6, 2, 6, 4, 2, 6,
4, 14, 4, 2, 4, 6, 14, 4, 6, 2, 10, 2, 6, 6, 6, 4,
6, 2, 10, 6, 2, 22, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6,
6, 8, 4, 2, 6, 4, 6, 8, 4, 6, 14, 6, 16, 6, 2, 6,
6, 4, 2, 4, 6, 2, 6, 6, 6, 10, 2, 10, 2, 4, 2, 4,
14, 4, 2, 4, 14, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4,
8, 6, 12, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4,
12, 2, 10, 2, 4, 12, 8, 6, 4, 6, 6, 2, 6, 4, 2, 6,
10, 8, 4, 2, 10, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2,
10, 2, 10, 6, 2, 10, 2, 10, 2, 6, 4, 8, 6, 4, 2, 4,
6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4,
6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 10,
14, 6, 4, 6, 2, 6, 4, 2, 4, 12, 8, 4, 2, 16, 8, 4,
2, 4, 2, 12, 16, 2, 4, 8, 12, 4, 2, 4, 6, 8, 4, 6,
2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2,
6, 12, 4, 6, 8, 4, 8, 4, 8, 6, 4, 8, 4, 6, 2, 6,
6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 12, 10, 2, 4, 2, 10,
2, 10, 2, 4, 6, 8, 10, 2, 6, 4, 6, 8, 10, 2, 4, 8,
10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 8, 6, 6, 4, 2, 10,
2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 8, 4, 8,
4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 6, 18, 2,
4, 8, 6, 4, 2, 6, 10, 2, 10, 6, 6, 6, 2, 6, 4, 2,
4, 6, 6, 2, 6, 6, 10, 20, 4, 2, 4, 8, 6, 4, 6, 2,
4, 8, 12, 6, 4, 6, 2, 6, 6, 4, 2, 10, 12, 2, 6, 10,
2, 6, 4, 6, 6, 6, 2, 10, 2, 6, 18, 4, 2, 4, 2, 4,
14, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 4,
12, 2, 12, 4, 2, 4, 6, 2, 6, 10, 6, 6, 2, 10, 2, 6,
4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6,
4, 2, 4, 8, 10, 2, 6, 12, 10, 6, 2, 4, 6, 2, 10, 6,
6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 10,
12, 2, 6, 6, 4, 12, 2, 6, 4, 2, 6, 10, 2, 12, 4, 2,
4, 6, 12, 2, 4, 12, 2, 6, 4, 2, 6, 4, 18, 2, 4, 2,
4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4,
6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 14, 4,
2, 6, 4, 6, 8, 4, 2, 6, 12, 10, 6, 6, 6, 8, 6, 4,
2, 10, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4,
2, 4, 14, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4,
12, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2,
10, 8, 4, 6, 8, 4, 2, 10, 6, 8, 4, 2, 6, 10, 8, 4,
2, 4, 6, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2,
10, 6, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 6, 4, 6, 6,
2, 6, 6, 6, 4, 6, 8, 4, 2, 10, 8, 6, 4, 8, 10, 2,
6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 2,
4, 6, 2, 10, 2, 4, 14, 6, 4, 2, 10, 6, 8, 4, 6, 2,
4, 8, 6, 12, 4, 6, 2, 12, 4, 6, 6, 2, 6, 6, 4, 2,
12, 10, 2, 4, 2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4, 2,
6, 4, 6, 12, 6, 2, 12, 6, 10, 2, 4, 6, 2, 12, 4, 2,
4, 14, 4, 2, 4, 12, 2, 10, 6, 2, 10, 2, 6, 4, 2, 4,
6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 10, 6,
2, 4, 6, 2, 6, 6, 6, 4, 8, 6, 4, 6, 2, 10, 12, 2,
6, 10, 2, 6, 4, 2, 10, 6, 2, 10, 8, 4, 14, 4, 2, 4,
2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 4, 6, 2,
10, 2, 4, 12, 2, 12, 4, 6, 6, 2, 6, 4, 2, 4, 6, 6,
2, 6, 6, 10, 6, 12, 2, 4, 2, 18, 4, 6, 2, 12, 6, 6,
4, 2, 4, 6, 12, 2, 4, 2, 12, 10, 2, 6, 4, 6, 2, 6,
4, 6, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 10, 14, 10,
2, 4, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 18, 10, 2,
4, 2, 4, 6, 8, 6, 4, 12, 2, 10, 2, 6, 4, 6, 14, 4,
2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 6, 6, 2, 6,
4, 2, 6, 10, 2, 10, 6, 6, 6, 2, 6, 6, 4, 6, 6, 8,
4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 10,
8, 10, 12, 2, 6, 4, 2, 6, 10, 2, 12, 4, 2, 4, 8, 10,
2, 4, 6, 6, 2, 6, 4, 8, 4, 14, 4, 2, 4, 2, 4, 8,
6, 4, 6, 6, 6, 2, 12, 6, 4, 6, 2, 6, 10, 2, 10, 2,
10, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6,
10, 8, 4, 2, 4, 2, 12, 10, 6, 6, 14, 6, 4, 2, 4, 6,
2, 6, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 6,
6, 8, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4,
8, 4, 6, 2, 6, 10, 2, 4, 14, 4, 2, 4, 2, 10, 2, 10,
2, 4, 2, 4, 6, 12, 2, 4, 6, 8, 6, 6, 6, 10, 8, 4,
6, 6, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 12, 2, 12, 4,
2, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 10, 6, 2, 6, 4,
2, 6, 4, 6, 8, 4, 2, 6, 12, 6, 4, 6, 2, 4, 6, 2,
12, 6, 4, 8, 6, 4, 2, 4, 2, 10, 12, 6, 2, 4, 6, 2,
6, 4, 2, 4, 14, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8,
16, 2, 4, 6, 2, 12, 6, 4, 6, 2, 6, 4, 2, 4, 2, 22,
2, 4, 12, 2, 6, 4, 2, 4, 12, 2, 10, 2, 6, 4, 14, 4,
6, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6,
8, 4, 2, 4, 12, 2, 16, 2, 10, 2, 6, 4, 2, 10, 6, 2,
6, 4, 2, 6, 4, 6, 8, 6, 4, 2, 4, 18, 6, 2, 12, 6,
6, 4, 2, 4, 8, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6,
2, 6, 16, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 6, 8,
6, 10, 2, 10, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10,
12, 2, 4, 6, 6, 8, 4, 2, 4, 12, 2, 6, 6, 6, 4, 6,
12, 6, 2, 4, 8, 6, 4, 8, 4, 8, 6, 10, 2, 4, 6, 2,
6, 4, 2, 4, 2, 10, 2, 10, 2, 10, 8, 6, 10, 6, 6, 2,
6, 4, 2, 6, 4, 6, 12, 2, 6, 4, 14, 10, 2, 4, 6, 8,
6, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 4, 2, 12,
6, 6, 4, 6, 6, 2, 10, 8, 4, 6, 8, 4, 2, 4, 2, 4,
8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4,
8, 10, 2, 10, 8, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4,
2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 2, 12, 6, 6,
4, 6, 6, 2, 10, 6, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10,
2, 4, 6, 6, 2, 6, 6, 10, 14, 4, 2, 4, 2, 12, 6, 4,
8, 4, 6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 10, 2, 10,
2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 14, 4, 8, 4, 6, 8,
4, 8, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6,
6, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 8,
10, 2, 6, 4, 6, 8, 6, 4, 2, 12, 6, 4, 8, 4, 6, 2,
16, 6, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 8,
4, 2, 4, 6, 6, 8, 4, 2, 16, 8, 6, 4, 6, 8, 6, 4,
6, 2, 4, 6, 2, 6, 12, 4, 6, 2, 10, 2, 6, 10, 12, 2,
4, 2, 12, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4,
2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 6,
2, 6, 6, 4, 12, 14, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12,
2, 6, 4, 2, 16, 8, 4, 2, 4, 2, 4, 14, 10, 2, 10, 14,
4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6,
2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 6,
6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 14, 4, 2,
6, 10, 2, 10, 2, 4, 2, 10, 12, 2, 4, 12, 2, 6, 6, 6,
4, 6, 14, 4, 2, 4, 8, 10, 6, 6, 6, 2, 6, 10, 2, 12,
6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 8, 6, 10, 6,
2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2,
4, 6, 8, 6, 6, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2,
4, 6, 8, 6, 4, 2, 4, 6, 8, 6, 12, 4, 6, 12, 2, 4,
2, 4, 8, 10, 6, 6, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4,
2, 4, 2, 10, 2, 10, 2, 10, 6, 2, 6, 4, 6, 12, 8, 4,
2, 6, 10, 8, 4, 2, 4, 2, 4, 18, 6, 2, 4, 8, 6, 6,
4, 2, 10, 2, 6, 4, 6, 12, 2, 10, 6, 2, 4, 6, 2, 6,
6, 10, 6, 2, 12, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6,
4, 8, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 2, 6, 10, 2,
10, 6, 2, 4, 6, 2, 12, 4, 6, 8, 6, 4, 2, 6, 4, 6,
8, 4, 6, 6, 8, 6, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6,
2, 6, 6, 4, 2, 10, 14, 4, 2, 4, 6, 2, 10, 2, 10, 6,
2, 6, 4, 2, 6, 4, 14, 4, 6, 2, 12, 6, 4, 8, 4, 6,
2, 12, 6, 4, 8, 6, 4, 6, 2, 10, 2, 10, 6, 2, 4, 8,
6, 4, 2, 4, 6, 6, 8, 4, 2, 10, 6, 14, 4, 2, 12, 6,
10, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6, 6, 4, 12, 12, 2,
4, 2, 10, 2, 6, 4, 2, 4, 6, 8, 10, 2, 6, 4, 14, 4,
2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 6,
2, 6, 4, 6, 12, 2, 12, 6, 4, 6, 8, 4, 2, 4, 6, 6,
2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 6, 14, 4, 6, 2, 10,
2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2,
4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 2, 10, 6, 8, 4, 2,
18, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2,
6, 10, 12, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4,
12, 6, 12, 2, 6, 4, 8, 6, 10, 2, 4, 6, 2, 16, 2, 4,
6, 2, 6, 4, 2, 4, 2, 12, 10, 2, 4, 6, 6, 2, 6, 6,
4, 6, 6, 2, 10, 2, 6, 4, 6, 8, 12, 4, 8, 6, 4, 6,
2, 4, 6, 8, 6, 4, 12, 8, 4, 2, 4, 2, 10, 2, 10, 2,
4, 2, 12, 6, 4, 2, 4, 6, 6, 8, 4, 8, 4, 6, 8, 6,
4, 2, 4, 8, 10, 6, 6, 6, 2, 6, 10, 2, 4, 8, 6, 4,
2, 6, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 10, 6, 8,
4, 8, 18, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 20, 4, 2,
4, 6, 2, 6, 10, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 4,
2, 4, 6, 6, 2, 6, 6, 6, 10, 12, 2, 4, 2, 4, 8, 6,
4, 8, 4, 14, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2,
10, 2, 6, 4, 6, 2, 10, 6, 6, 8, 6, 4, 2, 6, 4, 6,
8, 4, 6, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4, 14,
6, 6, 4, 12, 2, 10, 2, 4, 2, 4, 6, 2, 12, 10, 6, 2,
12, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2,
12, 4, 2, 12, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6, 8,
4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4,
8, 6, 4, 6, 2, 10, 2, 6, 6, 10, 6, 2, 6, 4, 2, 4,
2, 10, 14, 4, 2, 10, 2, 10, 2, 4, 6, 8, 10, 2, 6, 4,
14, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 6,
4, 6, 2, 6, 4, 6, 12, 2, 12, 4, 6, 6, 2, 6, 4, 2,
4, 12, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 18, 4, 6,
12, 2, 6, 6, 4, 2, 4, 6, 2, 12, 4, 2, 12, 10, 6, 2,
4, 6, 2, 6, 4, 12, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2,
4, 6, 8, 6, 12, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 2,
6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 6, 4, 12, 2, 6, 4,
2, 6, 10, 12, 2, 4, 6, 8, 6, 4, 6, 2, 10, 2, 6, 10,
2, 4, 6, 2, 10, 2, 4, 2, 10, 12, 2, 4, 6, 8, 6, 6,
4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 8, 4, 8, 6,
4, 8, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10,
12, 2, 4, 2, 4, 8, 6, 4, 2, 4, 12, 2, 6, 4, 12, 6,
12, 2, 4, 2, 4, 8, 6, 10, 6, 6, 2, 12, 4, 2, 4, 6,
2, 6, 4, 2, 4, 14, 10, 2, 6, 10, 2, 6, 4, 2, 4, 6,
6, 8, 4, 2, 6, 10, 8, 4, 6, 2, 4, 8, 10, 6, 2, 4,
8, 6, 6, 4, 2, 4, 6, 8, 4, 6, 2, 10, 2, 10, 2, 6,
10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 6,
4, 2, 4, 8, 10, 8, 4, 6, 2, 6, 6, 4, 2, 4, 18, 2,
4, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 10, 8, 6, 4,
12, 6, 8, 4, 6, 2, 12, 6, 4, 6, 2, 4, 6, 8, 6, 4,
6, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 4,
2, 10, 6, 2, 6, 12, 4, 6, 12, 2, 6, 12, 6, 4, 6, 2,
4, 8, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 12, 10, 8, 4,
6, 2, 6, 4, 6, 6, 6, 2, 10, 2, 10, 6, 8, 6, 4, 2,
4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 16, 2, 6, 4, 2, 4,
12, 12, 2, 4, 2, 10, 2, 6, 6, 4, 6, 6, 12, 2, 6, 4,
14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10,
2, 4, 6, 2, 6, 4, 2, 16, 2, 16, 2, 4, 6, 2, 6, 4,
2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 4,
14, 4, 6, 2, 10, 2, 12, 4, 6, 6, 2, 12, 4, 2, 12, 12,
4, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2, 6, 18, 4,
2, 4, 6, 8, 6, 10, 2, 4, 6, 8, 6, 6, 4, 6, 2, 6,
4, 8, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 6, 12, 8, 4,
2, 6, 4, 6, 12, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6,
10, 2, 4, 8, 6, 6, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2,
12, 4, 6, 8, 6, 6, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6,
4, 12, 6, 8, 10, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10,
2, 4, 2, 4, 14, 4, 2, 4, 6, 6, 2, 6, 4, 8, 10, 8,
4, 2, 4, 6, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6,
2, 10, 2, 4, 2, 10, 2, 10, 2, 6, 4, 8, 6, 4, 2, 4,
6, 14, 4, 2, 6, 10, 8, 4, 2, 6, 4, 8, 10, 6, 2, 4,
8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2, 4,
6, 6, 2, 6, 4, 2, 4, 12, 2, 6, 6, 10, 6, 8, 4, 2,
4, 2, 4, 14, 12, 4, 6, 2, 12, 4, 2, 4, 6, 8, 4, 2,
4, 2, 12, 10, 6, 2, 4, 6, 2, 10, 2, 10, 8, 6, 4, 2,
6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6,
6, 4, 6, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2,
6, 6, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 4, 14, 10,
6, 2, 10, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 12,
6, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 12, 6, 8,
10, 2, 4, 8, 6, 4, 8, 4, 6, 8, 6, 6, 4, 6, 2, 6,
4, 2, 4, 2, 10, 12, 2, 4, 14, 6, 4, 2, 4, 6, 6, 2,
12, 6, 4, 18, 2, 4, 2, 4, 8, 6, 10, 2, 4, 8, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 12, 6, 10, 2, 6,
4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2,
4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 10, 2, 10, 6, 14,
10, 2, 6, 4, 6, 2, 6, 10, 6, 6, 2, 10, 2, 6, 4, 6,
8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2,
4, 6, 2, 10, 2, 6, 10, 2, 16, 2, 4, 6, 8, 4, 2, 4,
12, 2, 6, 4, 2, 10, 6, 12, 2, 4, 2, 12, 6, 4, 6, 2,
10, 2, 6, 10, 6, 6, 8, 4, 2, 4, 2, 10, 2, 12, 4, 6,
6, 2, 12, 4, 6, 6, 2, 6, 4, 8, 4, 14, 4, 2, 6, 4,
8, 6, 4, 6, 2, 4, 6, 8, 6, 6, 10, 2, 6, 4, 6, 2,
12, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 12, 8, 4,
6, 8, 6, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 6,
6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4,
2, 4, 6, 14, 4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10,
8, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 8, 10, 2, 10, 2,
4, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 6, 6, 18, 4,
2, 4, 6, 8, 6, 4, 8, 4, 6, 2, 12, 4, 2, 4, 6, 14,
4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 10, 2, 4, 6, 8, 6,
4, 2, 6, 10, 8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6, 8,
6, 4, 6, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4, 2, 4, 6,
2, 6, 4, 18, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 2, 12,
6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2,
12, 10, 6, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 6, 10,
6, 8, 10, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 10,
8, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 8, 4, 2, 4, 6,
6, 2, 10, 2, 6, 4, 14, 6, 4, 2, 4, 8, 10, 6, 2, 4,
6, 2, 6, 6, 6, 4, 8, 6, 4, 2, 4, 12, 2, 12, 4, 2,
4, 6, 2, 6, 4, 2, 10, 8, 6, 4, 8, 4, 6, 8, 4, 2,
4, 2, 4, 18, 6, 2, 10, 8, 6, 4, 2, 4, 6, 2, 10, 2,
4, 2, 12, 10, 2, 4, 6, 6, 2, 6, 4, 6, 12, 2, 6, 6,
6, 4, 6, 12, 2, 4, 6, 14, 10, 2, 4, 8, 6, 6, 4, 2,
4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 8, 4, 6, 8, 4, 18,
2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 14, 4, 6, 2,
4, 8, 6, 10, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 4,
6, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 6, 8, 4,
2, 10, 8, 6, 4, 6, 2, 10, 8, 6, 4, 2, 10, 2, 6, 4,
2, 6, 10, 12, 6, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6,
4, 8, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 18, 2, 6, 6,
4, 6, 6, 2, 6, 4, 2, 4, 2, 10, 2, 12, 6, 4, 8, 10,
2, 4, 6, 6, 8, 4, 2, 6, 22, 2, 4, 2, 4, 8, 16, 2,
4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 6, 12, 2, 10, 2, 4,
2, 10, 2, 6, 4, 2, 4, 6, 6, 8, 6, 6, 4, 6, 8, 4,
2, 4, 2, 12, 6, 4, 12, 6, 2, 6, 6, 4, 2, 4, 6, 8,
10, 2, 10, 2, 10, 2, 6, 4, 6, 2, 10, 2, 4, 6, 8, 6,
4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6,
2, 6, 10, 6, 6, 2, 12, 4, 2, 10, 2, 12, 4, 2, 4, 6,
8, 4, 2, 10, 6, 2, 6, 4, 2, 16, 8, 4, 2, 4, 14, 6,
4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 18, 2, 4, 2, 10, 2,
10, 6, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 12, 6,
8, 6, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 2, 6, 4, 2, 4, 2, 22, 2, 4, 2, 10, 2, 6, 4, 2,
4, 12, 2, 10, 2, 10, 14, 6, 4, 2, 4, 8, 6, 10, 2, 4,
6, 2, 12, 4, 6, 6, 2, 6, 4, 2, 4, 14, 12, 4, 2, 4,
6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4,
6, 2, 4, 14, 4, 6, 2, 10, 2, 6, 10, 2, 4, 6, 12, 2,
6, 12, 10, 2, 4, 2, 10, 2, 6, 4, 6, 6, 6, 2, 6, 4,
2, 6, 4, 14, 6, 4, 6, 8, 16, 2, 4, 6, 2, 12, 4, 2,
4, 8, 6, 6, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2,
16, 2, 6, 4, 8, 10, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2,
4, 6, 8, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10,
2, 4, 6, 6, 2, 6, 10, 6, 6, 2, 6, 6, 6, 4, 6, 12,
2, 6, 4, 8, 6, 4, 6, 2, 4, 14, 6, 4, 2, 12, 6, 4,
2, 4, 2, 10, 2, 10, 2, 6, 4, 8, 10, 6, 6, 6, 2, 6,
12, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 6, 6, 2, 6,
6, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 6, 4, 6,
8, 6, 4, 6, 6, 12, 2, 6, 10, 8, 4, 2, 4, 2, 4, 8,
10, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 8, 10, 2,
10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 6, 6, 4,
6, 8, 4, 2, 4, 2, 4, 8, 10, 8, 10, 2, 6, 6, 4, 6,
6, 8, 4, 2, 4, 2, 10, 2, 12, 4, 6, 6, 2, 10, 2, 4,
14, 6, 4, 2, 6, 4, 14, 4, 6, 2, 4, 14, 4, 6, 2, 4,
6, 2, 6, 6, 10, 6, 2, 6, 10, 2, 10, 2, 10, 6, 2, 4,
6, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2,
4, 2, 12, 6, 4, 6, 6, 8, 12, 4, 2, 4, 8, 6, 6, 4,
2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 8, 6, 4,
2, 10, 6, 8, 6, 4, 6, 8, 6, 4, 8, 10, 2, 6, 12, 4,
6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 8, 4, 2,
4, 6, 6, 2, 10, 2, 6, 18, 4, 6, 6, 8, 6, 4, 8, 4,
6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 12, 2, 12, 4,
2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6,
12, 2, 6, 4, 14, 10, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2,
10, 2, 4, 24, 2, 4, 2, 10, 2, 6, 4, 6, 12, 2, 6, 4,
2, 10, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 12,
4, 2, 4, 6, 2, 6, 4, 8, 12, 10, 2, 6, 4, 6, 8, 4,
2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 12, 6, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 12, 2, 4, 2, 10,
2, 12, 4, 12, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 10, 6,
8, 6, 6, 12, 10, 6, 2, 4, 6, 8, 6, 4, 2, 18, 4, 2,
4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 10, 6, 2,
6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6,
8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10, 2, 10,
6, 2, 6, 4, 2, 4, 6, 6, 14, 6, 10, 14, 4, 2, 4, 8,
10, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 6, 4, 6, 2, 10,
2, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 8, 6, 6, 4,
6, 8, 4, 2, 4, 2, 4, 14, 4, 8, 4, 6, 2, 6, 10, 2,
10, 8, 4, 2, 16, 2, 10, 2, 4, 2, 4, 6, 2, 12, 4, 6,
8, 10, 2, 6, 4, 14, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4,
6, 2, 12, 4, 6, 6, 2, 6, 6, 6, 10, 2, 10, 6, 2, 4,
6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2,
4, 2, 12, 6, 4, 6, 2, 10, 14, 4, 6, 8, 6, 4, 2, 4,
2, 10, 2, 16, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2,
10, 14, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6,
6, 4, 8, 6, 4, 6, 2, 10, 12, 2, 4, 2, 10, 2, 10, 2,
4, 6, 6, 14, 6, 4, 14, 4, 2, 4, 2, 12, 6, 4, 6, 6,
6, 2, 6, 6, 4, 2, 10, 2, 6, 6, 4, 12, 2, 12, 4, 2,
4, 6, 8, 4, 2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4,
2, 4, 2, 4, 14, 4, 8, 10, 2, 6, 12, 4, 6, 2, 10, 2,
4, 2, 12, 10, 2, 4, 2, 4, 6, 8, 4, 6, 6, 8, 6, 4,
2, 6, 10, 8, 4, 2, 4, 6, 8, 16, 2, 4, 6, 2, 6, 6,
4, 2, 4, 6, 2, 10, 2, 6, 10, 2, 10, 2, 4, 6, 14, 4,
2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 6, 4, 14, 4,
6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2,
10, 12, 6, 6, 6, 2, 6, 6, 16, 2, 6, 4, 2, 10, 6, 8,
4, 2, 6, 4, 8, 6, 10, 2, 4, 20, 4, 2, 10, 2, 6, 4,
2, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 6, 4, 6, 6, 2,
6, 4, 8, 4, 6, 8, 4, 6, 6, 8, 6, 4, 6, 12, 2, 6,
6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 12, 2, 6, 10, 2,
6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 10, 2, 4, 8,
10, 8, 4, 8, 6, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2,
10, 2, 4, 2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 12, 4, 6,
12, 2, 4, 2, 4, 8, 6, 12, 4, 6, 8, 6, 4, 2, 4, 6,
8, 4, 2, 4, 12, 2, 10, 2, 4, 12, 2, 10, 2, 4, 6, 8,
6, 6, 6, 4, 6, 12, 6, 2, 4, 8, 6, 4, 6, 2, 4, 8,
6, 6, 4, 6, 6, 2, 6, 10, 2, 10, 2, 10, 2, 6, 4, 6,
2, 6, 4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4,
2, 18, 4, 6, 2, 4, 6, 2, 12, 4, 2, 12, 10, 2, 4, 12,
2, 16, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 10, 6,
8, 6, 4, 2, 12, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 8, 4, 2, 6, 10, 12, 6, 2, 10, 2, 6, 4, 2, 4, 6,
6, 2, 10, 8, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 10,
2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 4, 14, 12, 4, 2, 4,
6, 2, 10, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 6, 4, 2,
4, 14, 4, 6, 2, 10, 2, 6, 6, 10, 6, 2, 10, 6, 2, 12,
10, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 6,
4, 6, 8, 4, 2, 4, 14, 6, 10, 6, 6, 2, 6, 10, 2, 4,
6, 2, 6, 6, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2,
4, 14, 6, 4, 2, 6, 4, 18, 2, 4, 2, 4, 8, 6, 4, 8,
4, 6, 2, 16, 2, 4, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2,
4, 6, 6, 8, 6, 4, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4,
2, 10, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10,
2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6,
2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 6,
6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 12, 2,
6, 4, 6, 2, 10, 2, 4, 12, 8, 6, 16, 8, 4, 2, 4, 2,
4, 8, 16, 6, 8, 12, 4, 2, 10, 2, 6, 4, 6, 2, 12, 10,
2, 4, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4,
6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 6,
4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2, 10,
2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 10, 2, 4, 8, 10,
6, 2, 4, 6, 2, 6, 6, 4, 6, 8, 6, 6, 4, 2, 10, 2,
10, 2, 4, 6, 6, 2, 6, 4, 2, 16, 2, 6, 4, 8, 4, 6,
8, 4, 2, 4, 2, 18, 4, 6, 2, 4, 6, 14, 4, 2, 4, 8,
6, 4, 2, 4, 2, 10, 2, 10, 6, 6, 6, 2, 6, 4, 2, 10,
6, 2, 6, 6, 10, 6, 14, 4, 2, 4, 8, 6, 4, 6, 2, 4,
8, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 6,
10, 2, 6, 10, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 6,
14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 4,
12, 14, 4, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6,
4, 6, 8, 4, 6, 2, 4, 14, 4, 8, 10, 2, 6, 6, 4, 2,
4, 6, 2, 10, 2, 6, 12, 10, 6, 2, 4, 8, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 6, 8, 6, 10, 2,
10, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 16, 2, 12, 4, 2,
10, 12, 2, 4, 12, 2, 6, 4, 2, 6, 4, 18, 2, 4, 2, 4,
8, 6, 4, 6, 2, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 6,
2, 10, 2, 10, 2, 10, 6, 2, 6, 6, 4, 6, 6, 8, 4, 2,
6, 4, 6, 8, 4, 2, 6, 12, 6, 4, 6, 6, 6, 8, 6, 4,
2, 10, 2, 12, 4, 2, 10, 2, 12, 4, 2, 4, 8, 6, 4, 2,
4, 6, 8, 6, 4, 12, 6, 8, 4, 2, 4, 2, 12, 6, 4, 12,
6, 2, 6, 10, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2,
6, 4, 6, 8, 4, 2, 4, 6, 6, 8, 4, 8, 10, 8, 4, 2,
10, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 10, 6,
2, 12, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 12,
6, 4, 6, 8, 6, 6, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6,
4, 6, 6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 6, 2,
10, 2, 4, 20, 4, 2, 10, 6, 8, 4, 6, 2, 4, 8, 6, 10,
2, 4, 6, 2, 16, 6, 6, 2, 6, 6, 6, 12, 10, 2, 4, 2,
4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 14, 4,
6, 2, 12, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 14, 6,
4, 2, 10, 2, 10, 6, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2,
6, 4, 2, 16, 8, 6, 4, 2, 4, 8, 10, 6, 2, 4, 6, 8,
6, 6, 4, 8, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 2,
6, 4, 12, 6, 2, 10, 8, 4, 14, 4, 2, 4, 2, 4, 8, 6,
4, 6, 2, 4, 6, 8, 6, 4, 2, 4, 8, 6, 4, 2, 4, 12,
2, 12, 4, 6, 6, 2, 10, 2, 4, 6, 6, 2, 6, 6, 6, 4,
6, 12, 2, 4, 2, 4, 14, 4, 6, 14, 6, 6, 4, 2, 10, 2,
10, 2, 4, 2, 12, 10, 2, 6, 4, 6, 8, 4, 6, 6, 6, 2,
6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 14, 10, 2, 4, 6,
2, 6, 6, 6, 10, 2, 6, 4, 2, 16, 2, 10, 2, 4, 2, 4,
6, 8, 6, 4, 14, 10, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8,
10, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6,
10, 2, 10, 6, 6, 6, 2, 6, 6, 4, 12, 2, 6, 4, 2, 6,
4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2, 10, 8, 6, 4, 12,
2, 6, 4, 2, 4, 2, 10, 2, 16, 2, 4, 8, 10, 2, 10, 6,
2, 6, 4, 8, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 6,
8, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 6,
4, 6, 2, 6, 6, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2,
4, 14, 10, 6, 14, 6, 6, 4, 2, 4, 6, 2, 6, 10, 2, 10,
12, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 6, 6,
4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10,
2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 18,
2, 4, 6, 8, 6, 4, 2, 6, 10, 12, 6, 6, 8, 6, 10, 2,
4, 6, 2, 6, 6, 4, 6, 6, 2, 12, 4, 12, 2, 10, 2, 4,
2, 12, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
2, 6, 12, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6,
4, 6, 2, 10, 12, 8, 4, 6, 2, 6, 4, 2, 4, 12, 2, 6,
4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2,
12, 6, 4, 6, 2, 10, 2, 4, 2, 24, 4, 2, 10, 2, 6, 4,
2, 4, 6, 6, 2, 10, 2, 10, 14, 4, 6, 2, 12, 6, 4, 6,
2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2,
12, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 8, 4,
6, 8, 6, 6, 4, 18, 6, 2, 10, 2, 6, 6, 4, 2, 4, 8,
10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 12, 6,
2, 10, 8, 4, 6, 8, 6, 4, 6, 8, 6, 10, 2, 4, 6, 8,
6, 4, 6, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 4, 6, 6,
8, 4, 2, 4, 12, 8, 6, 6, 4, 6, 12, 2, 4, 2, 4, 8,
6, 4, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6,
10, 2, 10, 2, 10, 6, 2, 6, 10, 6, 6, 2, 6, 4, 2, 6,
4, 14, 4, 2, 6, 4, 14, 4, 6, 2, 4, 6, 14, 4, 2, 10,
2, 6, 6, 4, 12, 2, 10, 2, 4, 2, 4, 8, 6, 6, 4, 6,
6, 2, 10, 8, 10, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6, 6,
6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 8,
4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2,
4, 2, 4, 8, 10, 6, 2, 12, 6, 6, 4, 6, 8, 6, 4, 6,
2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6,
6, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 12, 6, 2, 6,
6, 6, 10, 8, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 12,
2, 4, 6, 14, 4, 2, 6, 4, 6, 8, 4, 6, 2, 12, 6, 4,
6, 6, 6, 2, 6, 6, 10, 6, 2, 6, 6, 4, 2, 10, 2, 10,
2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 8, 6, 4, 2, 6, 4,
6, 8, 4, 2, 4, 2, 12, 10, 8, 4, 6, 2, 16, 2, 4, 8,
6, 4, 2, 4, 2, 10, 2, 10, 6, 6, 6, 8, 4, 2, 4, 12,
2, 6, 4, 2, 16, 8, 6, 4, 6, 14, 4, 6, 2, 4, 6, 2,
6, 6, 6, 4, 6, 2, 10, 2, 4, 2, 10, 12, 6, 2, 12, 6,
4, 2, 10, 6, 2, 10, 2, 6, 4, 14, 4, 2, 6, 4, 8, 6,
4, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4,
12, 14, 4, 2, 4, 6, 2, 6, 6, 4, 12, 2, 6, 4, 2, 10,
6, 8, 4, 2, 4, 6, 14, 10, 2, 10, 2, 12, 4, 2, 4, 6,
2, 10, 2, 4, 2, 22, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 6, 6, 8, 6, 12, 4,
6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 2,
4, 2, 18, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 14, 4,
2, 4, 8, 16, 2, 4, 6, 2, 6, 10, 2, 4, 8, 6, 4, 2,
4, 12, 2, 10, 2, 4, 12, 2, 6, 6, 10, 6, 2, 6, 4, 8,
4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6,
4, 2, 10, 2, 6, 4, 6, 2, 10, 2, 10, 2, 10, 8, 6, 4,
2, 4, 6, 6, 2, 6, 12, 4, 6, 12, 2, 4, 2, 4, 8, 6,
4, 6, 6, 8, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 10,
2, 12, 6, 4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 16, 8,
4, 2, 4, 2, 22, 6, 2, 4, 8, 6, 6, 4, 2, 10, 8, 4,
6, 12, 2, 10, 2, 4, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2,
18, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 8, 4, 6, 2, 6,
6, 4, 2, 4, 6, 8, 4, 2, 6, 12, 10, 6, 2, 4, 6, 2,
10, 2, 4, 6, 8, 10, 2, 6, 4, 6, 8, 10, 2, 4, 8, 6,
4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 6, 4, 2, 10,
2, 12, 4, 2, 4, 6, 2, 10, 2, 10, 6, 8, 4, 2, 6, 4,
14, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 6, 2, 18, 4, 8,
6, 4, 8, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6,
6, 8, 4, 2, 10, 14, 6, 4, 2, 12, 6, 4, 6, 6, 6, 2,
12, 6, 4, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4, 2, 10, 2,
6, 4, 2, 4, 6, 8, 10, 2, 6, 18, 4, 2, 4, 2, 4, 8,
6, 4, 8, 4, 6, 8, 10, 2, 4, 6, 2, 6, 4, 2, 4, 12,
2, 12, 4, 2, 4, 6, 8, 4, 6, 6, 6, 2, 6, 4, 2, 6,
10, 8, 4, 2, 4, 6, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2,
4, 8, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 8, 10, 6, 6,
6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 10, 8, 6, 10, 6, 6,
2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 6, 10, 12, 2, 4, 2,
4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 12, 2, 4,
2, 4, 8, 6, 10, 2, 4, 6, 2, 18, 4, 6, 2, 6, 4, 2,
4, 2, 12, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 8, 6, 4,
2, 6, 4, 6, 8, 4, 8, 4, 8, 10, 6, 2, 4, 6, 8, 6,
4, 2, 10, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 14, 6, 4,
2, 4, 12, 2, 6, 4, 8, 4, 6, 8, 6, 4, 2, 4, 18, 6,
6, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2,
10, 8, 4, 6, 2, 6, 4, 2, 10, 6, 8, 4, 8, 10, 8, 4,
2, 4, 2, 4, 8, 10, 6, 2, 4, 14, 6, 4, 2, 4, 6, 2,
6, 4, 6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6,
6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 6, 8, 6, 4, 8, 12,
6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 12, 2, 6, 4,
6, 2, 10, 6, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2,
4, 14, 4, 8, 4, 6, 2, 6, 6, 4, 12, 2, 6, 6, 4, 12,
2, 10, 2, 4, 2, 4, 8, 6, 6, 10, 6, 2, 10, 2, 6, 4,
6, 12, 2, 4, 2, 12, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4,
8, 6, 4, 2, 16, 2, 10, 6, 2, 10, 2, 6, 4, 2, 4, 6,
6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6,
2, 10, 2, 6, 6, 10, 6, 2, 6, 4, 6, 2, 10, 14, 6, 10,
2, 10, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2,
4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 10,
6, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8,
4, 2, 10, 6, 8, 4, 2, 4, 2, 18, 4, 6, 12, 2, 6, 6,
4, 2, 4, 6, 14, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6,
4, 6, 6, 8, 6, 4, 8, 4, 6, 8, 4, 2, 10, 8, 6, 12,
4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6, 12, 10, 2,
4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 10, 2, 6, 10, 14, 4,
6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 6, 6, 2, 10, 2,
4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 6, 4, 6, 6, 8, 4,
2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6,
8, 10, 2, 10, 2, 6, 4, 2, 6, 10, 12, 2, 4, 2, 4, 8,
6, 4, 2, 4, 12, 2, 6, 4, 12, 14, 4, 2, 4, 2, 4, 8,
6, 10, 6, 6, 2, 12, 4, 2, 4, 6, 2, 6, 6, 4, 2, 12,
10, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6,
10, 8, 4, 6, 2, 4, 8, 10, 6, 2, 4, 14, 6, 4, 2, 4,
6, 8, 4, 6, 2, 10, 2, 10, 2, 4, 2, 10, 2, 6, 4, 6,
6, 6, 2, 6, 6, 6, 4, 6, 8, 6, 4, 2, 4, 8, 10, 8,
4, 6, 2, 6, 6, 4, 2, 4, 14, 4, 2, 4, 2, 10, 2, 10,
2, 4, 2, 4, 6, 2, 10, 2, 10, 8, 6, 12, 4, 6, 8, 4,
6, 2, 4, 8, 6, 4, 6, 6, 6, 8, 6, 4, 12, 2, 6, 6,
4, 2, 10, 2, 10, 2, 4, 6, 6, 8, 4, 2, 10, 6, 2, 6,
6, 6, 4, 6, 12, 2, 4, 2, 12, 6, 4, 6, 2, 4, 8, 12,
6, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 8, 4, 6, 2, 6,
4, 6, 6, 8, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 18, 6,
2, 4, 6, 2, 6, 6, 6, 10, 2, 6, 4, 2, 4, 12, 12, 2,
4, 12, 2, 6, 6, 4, 12, 2, 10, 2, 6, 4, 14, 4, 2, 4,
2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2,
6, 4, 2, 16, 2, 16, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2,
6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2,
12, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4,
6, 2, 16, 6, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 6,
8, 6, 10, 2, 10, 2, 6, 6, 6, 4, 6, 2, 6, 4, 8, 10,
12, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 8, 4, 2, 6, 4,
6, 12, 6, 2, 12, 6, 4, 12, 6, 2, 6, 10, 2, 4, 6, 2,
6, 6, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 6, 4, 6, 8,
6, 4, 2, 6, 4, 6, 12, 2, 6, 4, 8, 6, 12, 4, 6, 8,
10, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 4, 2, 18, 4,
2, 4, 6, 6, 2, 6, 4, 8, 10, 8, 4, 2, 4, 6, 8, 6,
4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 6, 2, 10,
2, 10, 2, 6, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6,
10, 8, 4, 2, 6, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2,
4, 6, 2, 10, 6, 2, 10, 14, 4, 2, 4, 6, 2, 6, 4, 2,
4, 12, 2, 6, 6, 10, 6, 8, 4, 2, 4, 2, 12, 6, 12, 4,
6, 2, 12, 4, 2, 4, 6, 8, 4, 2, 4, 2, 12, 10, 2, 4,
2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 4,
8, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 8,
6, 4, 2, 12, 10, 2, 4, 2, 10, 2, 6, 4, 2, 10, 6, 2,
10, 2, 6, 4, 6, 8, 6, 4, 2, 12, 10, 6, 2, 4, 6, 2,
12, 4, 6, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6,
2, 6, 4, 2, 10, 6, 8, 4, 12, 6, 8, 6, 4, 2, 4, 8,
6, 4, 6, 2, 4, 6, 8, 12, 4, 6, 2, 6, 4, 2, 6, 10,
12, 2, 4, 12, 2, 6, 4, 2, 4, 6, 6, 2, 12, 6, 4, 18,
2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 12, 4, 2, 4, 6,
2, 6, 6, 4, 12, 2, 12, 6, 4, 6, 2, 6, 4, 6, 6, 6,
2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2,
10, 8, 6, 4, 2, 10, 2, 10, 2, 4, 14, 10, 2, 4, 2, 4,
6, 2, 6, 10, 6, 6, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4,
6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4,
2, 6, 10, 2, 10, 6, 2, 4, 6, 12, 2, 4, 12, 2, 6, 6,
6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 12, 2, 6, 10,
12, 2, 6, 4, 2, 4, 2, 10, 2, 12, 4, 6, 6, 14, 4, 6,
6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6,
2, 4, 6, 8, 6, 6, 10, 2, 6, 4, 6, 2, 10, 2, 10, 2,
4, 2, 4, 8, 6, 4, 2, 4, 6, 14, 4, 8, 4, 6, 8, 4,
2, 4, 2, 12, 10, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2,
6, 6, 4, 2, 10, 2, 10, 2, 10, 6, 2, 6, 4, 2, 4, 20,
4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 18, 8, 4, 8, 6, 10,
2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 6, 2, 4, 6, 8,
4, 2, 10, 6, 2, 6, 6, 6, 10, 8, 4, 2, 4, 6, 8, 6,
4, 8, 4, 8, 6, 6, 4, 2, 4, 6, 12, 2, 4, 2, 10, 2,
10, 2, 4, 2, 4, 8, 12, 4, 6, 8, 6, 4, 2, 6, 4, 6,
8, 4, 12, 8, 6, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2,
6, 6, 4, 2, 10, 12, 2, 4, 2, 4, 6, 2, 6, 4, 2, 16,
2, 6, 4, 2, 10, 6, 8, 4, 6, 2, 12, 6, 12, 4, 6, 2,
12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 12, 10, 6, 2, 4, 8,
6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 18, 2, 4, 8,
6, 10, 2, 4, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 12,
12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6,
4, 14, 6, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 4,
2, 4, 8, 6, 4, 6, 12, 2, 12, 6, 4, 6, 2, 6, 4, 2,
10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4,
6, 2, 10, 8, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 12,
4, 6, 6, 2, 6, 4, 6, 6, 6, 2, 6, 6, 10, 6, 12, 2,
4, 14, 6, 10, 2, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 2,
6, 10, 2, 10, 2, 6, 4, 6, 8, 4, 6, 12, 2, 6, 4, 8,
4, 6, 12, 2, 6, 4, 14, 4, 6, 2, 4, 6, 2, 6, 10, 2,
10, 2, 6, 4, 2, 4, 14, 10, 2, 4, 6, 6, 2, 6, 6, 4,
6, 6, 2, 10, 2, 6, 4, 6, 8, 6, 6, 4, 8, 6, 4, 6,
2, 4, 6, 8, 6, 4, 12, 2, 6, 4, 2, 6, 10, 2, 10, 6,
2, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 8, 4, 6, 8, 4,
2, 4, 2, 4, 8, 6, 4, 6, 12, 2, 6, 10, 6, 6, 2, 6,
4, 2, 6, 10, 2, 12, 6, 4, 6, 2, 10, 2, 4, 6, 6, 8,
4, 2, 6, 18, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 12,
6, 4, 6, 2, 6, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2,
6, 4, 2, 4, 6, 6, 8, 6, 6, 10, 8, 4, 2, 4, 2, 12,
6, 4, 12, 6, 8, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 2,
10, 2, 4, 2, 4, 6, 2, 10, 6, 6, 8, 6, 4, 2, 6, 4,
6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 6,
8, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 12, 2, 10,
6, 2, 6, 6, 6, 10, 8, 4, 2, 4, 14, 6, 4, 6, 6, 6,
2, 12, 4, 2, 12, 10, 2, 4, 2, 10, 2, 10, 6, 2, 4, 14,
4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 6, 4, 8,
6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 2,
4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 14, 10, 2,
10, 14, 4, 2, 4, 2, 4, 8, 16, 2, 4, 6, 2, 12, 4, 2,
4, 6, 2, 6, 4, 2, 4, 14, 12, 4, 6, 6, 2, 6, 4, 2,
4, 12, 2, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4,
6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 12, 2, 4, 2, 12, 10,
6, 2, 10, 2, 6, 4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 8,
6, 4, 6, 8, 16, 2, 4, 8, 6, 6, 4, 2, 4, 8, 6, 4,
2, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 6, 16, 2, 6, 4,
8, 4, 6, 12, 2, 4, 6, 8, 6, 4, 6, 2, 10, 8, 10, 2,
4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 6, 6, 2, 6,
6, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 8, 4, 8, 6, 4,
8, 4, 14, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10,
2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 8, 4, 6, 12,
2, 4, 2, 4, 14, 10, 6, 6, 2, 6, 6, 4, 2, 10, 2, 6,
4, 2, 4, 12, 2, 10, 2, 6, 10, 2, 6, 6, 4, 6, 6, 12,
2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6,
6, 4, 2, 4, 6, 2, 6, 4, 8, 10, 2, 10, 8, 4, 6, 2,
6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4,
2, 4, 8, 6, 4, 8, 10, 2, 6, 6, 4, 6, 6, 12, 2, 4,
2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4,
2, 10, 14, 4, 6, 2, 12, 6, 4, 6, 2, 4, 6, 2, 6, 6,
10, 6, 8, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4,
2, 10, 6, 8, 4, 8, 4, 6, 8, 4, 2, 6, 12, 6, 4, 6,
6, 6, 2, 12, 4, 2, 4, 8, 6, 6, 4, 2, 12, 10, 6, 2,
4, 6, 2, 6, 4, 2, 4, 6, 8, 10, 2, 10, 6, 8, 6, 4,
2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 16, 6, 2, 6, 4, 2,
4, 2, 10, 12, 2, 4, 2, 10, 8, 4, 2, 4, 6, 6, 12, 2,
6, 18, 4, 2, 4, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10,
2, 4, 6, 2, 10, 2, 16, 2, 12, 4, 2, 4, 8, 6, 4, 2,
4, 6, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 6, 4, 14, 4,
6, 2, 10, 2, 12, 4, 2, 4, 6, 2, 12, 4, 2, 22, 2, 4,
2, 4, 6, 2, 6, 4, 6, 12, 2, 6, 4, 2, 16, 8, 4, 2,
4, 6, 8, 6, 10, 2, 4, 6, 14, 4, 2, 4, 6, 2, 6, 4,
2, 6, 12, 10, 2, 4, 2, 4, 6, 8, 4, 6, 12, 2, 6, 4,
2, 6, 4, 6, 12, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2,
6, 10, 2, 4, 14, 4, 2, 4, 2, 10, 2, 10, 2, 4, 12, 2,
12, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 6, 6, 4, 8, 10,
6, 6, 6, 8, 6, 4, 2, 12, 6, 4, 2, 4, 2, 10, 2, 10,
2, 4, 2, 4, 14, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8,
4, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 8, 6, 6, 4, 6,
2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 10, 6, 2, 6, 4, 2,
4, 6, 14, 6, 6, 10, 12, 2, 4, 2, 4, 8, 10, 6, 2, 4,
8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2,
10, 6, 2, 6, 4, 6, 12, 2, 6, 6, 6, 4, 6, 8, 4, 2,
4, 2, 4, 14, 4, 8, 4, 6, 2, 6, 6, 4, 2, 10, 8, 4,
2, 4, 12, 2, 10, 6, 2, 4, 6, 2, 12, 10, 8, 10, 2, 6,
4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6,
4, 6, 6, 2, 6, 6, 6, 10, 2, 10, 6, 2, 4, 6, 2, 6,
6, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 14, 6,
4, 6, 2, 10, 2, 12, 4, 6, 8, 6, 4, 2, 4, 2, 10, 18,
2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 10, 14, 10,
2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6,
4, 6, 2, 10, 12, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 12,
2, 6, 4, 18, 2, 4, 2, 12, 6, 10, 6, 6, 2, 6, 6, 4,
2, 4, 6, 2, 6, 6, 4, 12, 2, 12, 4, 2, 10, 2, 6, 4,
2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4,
14, 4, 8, 10, 2, 6, 10, 2, 4, 6, 2, 10, 6, 2, 12, 10,
2, 6, 4, 6, 8, 4, 6, 6, 6, 2, 6, 4, 2, 6, 10, 8,
4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4,
6, 2, 10, 2, 6, 10, 2, 12, 4, 2, 4, 14, 4, 2, 4, 12,
2, 6, 4, 2, 10, 6, 12, 2, 6, 12, 6, 4, 6, 2, 4, 6,
2, 6, 10, 2, 4, 6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 6,
6, 2, 6, 6, 4, 12, 2, 6, 4, 12, 6, 8, 4, 2, 6, 4,
8, 6, 10, 2, 4, 6, 14, 4, 2, 10, 2, 6, 4, 2, 4, 2,
12, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 10, 8,
4, 6, 8, 10, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4,
6, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 6, 10, 2, 6, 4,
2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 6, 4, 2, 4, 8, 10,
6, 2, 4, 8, 6, 10, 2, 4, 8, 6, 4, 8, 10, 2, 10, 2,
4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 12, 4, 14, 4,
2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 14, 4, 2, 4, 6, 8,
6, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 10, 2, 4, 6, 8,
6, 6, 6, 10, 12, 6, 2, 4, 8, 6, 4, 6, 2, 4, 14, 6,
4, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2,
6, 4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2,
18, 4, 6, 2, 4, 6, 2, 12, 4, 2, 12, 6, 4, 2, 4, 12,
2, 10, 6, 2, 4, 6, 2, 12, 4, 6, 6, 2, 12, 10, 6, 8,
6, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 10, 2,
6, 4, 2, 6, 10, 12, 6, 2, 10, 8, 4, 2, 4, 6, 6, 2,
10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 10,
2, 6, 6, 10, 6, 2, 6, 4, 2, 4, 12, 2, 12, 4, 2, 4,
6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 14, 4, 2, 4,
2, 4, 18, 6, 2, 10, 2, 6, 6, 6, 4, 6, 2, 10, 6, 2,
12, 10, 2, 4, 6, 6, 2, 6, 4, 6, 12, 8, 4, 2, 6, 4,
6, 8, 4, 2, 4, 20, 10, 6, 6, 2, 6, 6, 4, 2, 4, 6,
2, 6, 6, 6, 10, 2, 10, 6, 2, 4, 6, 8, 4, 2, 18, 6,
4, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 8, 4, 8,
6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4,
6, 6, 8, 6, 4, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2,
10, 8, 6, 4, 6, 2, 10, 8, 6, 4, 2, 10, 2, 10, 2, 4,
2, 10, 12, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6,
4, 8, 4, 6, 8, 4, 8, 4, 8, 6, 4, 12, 6, 2, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 6, 4, 8,
6, 4, 2, 4, 12, 8, 4, 2, 16, 12, 2, 4, 2, 4, 8, 16,
2, 4, 8, 12, 4, 2, 4, 6, 2, 6, 4, 6, 14, 10, 2, 4,
2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8,
4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4,
6, 8, 4, 6, 2, 10, 2, 10, 2, 6, 10, 2, 10, 2, 4, 6,
8, 6, 4, 2, 6, 4, 6, 8, 10, 2, 4, 8, 10, 6, 2, 4,
6, 2, 6, 6, 4, 6, 8, 12, 4, 2, 10, 2, 12, 4, 2, 4,
6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 12, 6, 8, 4, 2, 4,
2, 12, 6, 4, 6, 2, 4, 6, 14, 4, 2, 4, 14, 4, 2, 4,
2, 10, 2, 10, 6, 6, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6,
16, 6, 14, 6, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 6, 4,
6, 2, 6, 4, 2, 4, 2, 22, 2, 6, 10, 2, 6, 4, 6, 6,
6, 2, 10, 2, 6, 4, 14, 6, 4, 2, 4, 14, 4, 6, 2, 4,
6, 2, 6, 6, 4, 12, 2, 6, 4, 2, 4, 12, 2, 12, 4, 2,
4, 6, 2, 6, 6, 4, 6, 6, 12, 2, 6, 4, 6, 8, 4, 2,
4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 10, 2, 4, 6, 2, 10,
2, 6, 12, 10, 6, 2, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6,
4, 2, 6, 4, 14, 4, 2, 4, 6, 8, 6, 10, 2, 10, 2, 12,
4, 6, 6, 2, 6, 6, 6, 10, 2, 12, 4, 2, 4, 6, 12, 2,
4, 12, 2, 6, 4, 2, 6, 22, 2, 4, 2, 4, 8, 6, 4, 6,
2, 4, 6, 8, 12, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2,
4, 6, 6, 2, 6, 10, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4,
2, 6, 12, 6, 4, 6, 6, 6, 8, 6, 4, 2, 12, 6, 6, 4,
2, 10, 2, 10, 2, 4, 2, 4, 8, 10, 2, 4, 6, 8, 6, 12,
4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 12, 6, 2, 6, 10,
2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 8,
4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8,
10, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 10, 6, 2, 10, 2,
10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 8, 6, 6, 6, 4,
6, 8, 4, 2, 6, 4, 8, 10, 8, 4, 6, 2, 6, 6, 4, 2,
4, 6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 6, 6, 2, 10, 2,
4, 14, 6, 4, 2, 10, 6, 8, 4, 6, 2, 4, 14, 10, 2, 4,
6, 2, 12, 4, 6, 6, 2, 6, 6, 4, 2, 12, 10, 6, 2, 4,
6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
6, 2, 12, 6, 4, 6, 2, 4, 8, 12, 4, 2, 4, 14, 4, 2,
4, 2, 10, 2, 10, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6,
4, 2, 10, 6, 8, 6, 4, 6, 8, 10, 6, 2, 10, 2, 6, 6,
6, 4, 8, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6,
4, 2, 10, 6, 2, 10, 8, 4, 14, 4, 6, 2, 4, 8, 6, 4,
8, 4, 6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2,
12, 4, 6, 8, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6,
12, 2, 4, 2, 4, 14, 10, 2, 12, 6, 6, 4, 2, 4, 6, 2,
10, 2, 4, 14, 10, 2, 6, 10, 2, 6, 4, 6, 6, 6, 2, 6,
4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 14, 10, 2, 4, 6, 2,
6, 6, 4, 2, 10, 2, 6, 4, 18, 2, 10, 2, 6, 4, 6, 8,
6, 4, 12, 2, 10, 2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 10, 2, 6, 10,
2, 16, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 10, 6,
8, 4, 2, 6, 12, 6, 4, 6, 2, 10, 8, 6, 4, 12, 8, 4,
2, 4, 2, 10, 2, 12, 4, 2, 4, 8, 10, 2, 4, 6, 6, 2,
6, 4, 8, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2,
6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 12, 10, 2, 6, 4, 6,
2, 6, 4, 2, 4, 6, 6, 12, 2, 6, 10, 8, 6, 4, 2, 12,
10, 6, 6, 8, 6, 6, 4, 6, 6, 2, 6, 10, 2, 10, 2, 10,
2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 14, 6, 6, 4, 6,
8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 2,
4, 6, 8, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 6, 12, 2,
4, 6, 8, 6, 4, 2, 6, 18, 4, 6, 6, 8, 6, 4, 6, 2,
4, 6, 2, 12, 4, 6, 6, 2, 12, 4, 2, 10, 2, 10, 2, 4,
2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 10, 8, 4,
2, 6, 12, 6, 4, 6, 2, 4, 6, 14, 4, 2, 4, 8, 6, 4,
2, 4, 2, 10, 12, 6, 2, 4, 6, 2, 6, 4, 6, 12, 2, 6,
4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2,
12, 6, 4, 8, 6, 4, 2, 4, 2, 22, 2, 4, 2, 10, 2, 10,
2, 4, 6, 6, 2, 12, 6, 4, 14, 4, 6, 2, 4, 8, 6, 4,
6, 6, 6, 2, 6, 6, 4, 2, 10, 8, 4, 2, 4, 12, 2, 12,
4, 2, 10, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6,
8, 6, 4, 2, 4, 18, 6, 2, 10, 2, 6, 6, 6, 4, 8, 10,
2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 12, 8, 6,
4, 8, 4, 6, 8, 4, 2, 4, 6, 8, 16, 2, 4, 6, 8, 6,
4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 4, 6, 6,
8, 4, 2, 4, 12, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 4,
14, 4, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4,
2, 10, 2, 10, 12, 6, 2, 6, 16, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 6, 4, 14, 4, 6, 2, 4, 14, 6, 4, 2, 10,
2, 6, 4, 2, 4, 12, 2, 10, 2, 4, 2, 4, 8, 6, 6, 4,
6, 6, 2, 10, 8, 4, 6, 8, 4, 2, 4, 6, 8, 6, 4, 6,
12, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 12, 8,
4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4,
6, 2, 4, 8, 10, 8, 12, 6, 6, 4, 6, 6, 2, 6, 4, 6,
2, 10, 2, 12, 4, 2, 4, 8, 10, 2, 4, 6, 6, 2, 6, 6,
6, 4, 18, 2, 4, 2, 4, 8, 6, 12, 4, 6, 2, 6, 6, 6,
4, 6, 8, 4, 6, 12, 2, 10, 2, 4, 2, 10, 2, 10, 2, 4,
6, 14, 4, 2, 6, 4, 6, 8, 4, 6, 2, 12, 6, 4, 6, 6,
6, 2, 6, 6, 4, 6, 6, 2, 6, 10, 2, 10, 2, 10, 2, 6,
4, 6, 2, 6, 4, 2, 10, 8, 6, 4, 2, 6, 4, 6, 8, 4,
2, 4, 2, 12, 6, 4, 8, 4, 6, 2, 16, 2, 4, 8, 10, 2,
4, 2, 10, 2, 16, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6,
4, 2, 16, 8, 6, 4, 14, 6, 4, 6, 2, 4, 6, 2, 6, 6,
6, 4, 6, 12, 2, 4, 2, 10, 12, 2, 4, 2, 12, 6, 4, 2,
4, 6, 6, 2, 10, 8, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6,
2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 26,
4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 10, 2, 10, 6, 8,
6, 4, 2, 4, 14, 10, 2, 10, 2, 12, 4, 6, 6, 2, 10, 2,
4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6, 6, 8,
4, 2, 6, 4, 6, 8, 4, 6, 6, 8, 6, 10, 2, 4, 6, 2,
6, 10, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 2, 4, 2, 10,
8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 20, 4, 2, 4, 8,
10, 6, 2, 4, 6, 2, 16, 2, 4, 8, 6, 6, 4, 2, 10, 2,
10, 2, 4, 6, 6, 2, 6, 6, 10, 6, 2, 6, 4, 8, 10, 8,
4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10,
2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 6,
6, 6, 2, 6, 12, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6,
6, 8, 6, 6, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10,
2, 6, 4, 6, 2, 10, 6, 6, 6, 8, 6, 6, 10, 8, 4, 2,
4, 2, 4, 18, 6, 6, 8, 6, 6, 4, 2, 10, 2, 6, 4, 6,
12, 2, 10, 2, 4, 2, 4, 6, 8, 6, 4, 6, 6, 2, 12, 6,
4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6,
6, 6, 4, 6, 8, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6, 2,
10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4,
8, 10, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 6, 4, 2,
10, 2, 12, 4, 6, 6, 2, 10, 2, 16, 2, 6, 4, 2, 6, 4,
14, 4, 2, 4, 2, 18, 4, 6, 2, 4, 6, 2, 12, 6, 4, 8,
6, 4, 6, 2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 10,
6, 8, 4, 2, 10, 6, 8, 6, 4, 2, 12, 6, 4, 6, 6, 8,
6, 6, 6, 4, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4, 2, 10,
2, 6, 6, 4, 6, 8, 10, 2, 6, 4, 14, 4, 2, 4, 6, 8,
6, 4, 8, 10, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 12,
14, 4, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6,
10, 8, 4, 6, 6, 14, 4, 8, 10, 2, 6, 6, 4, 2, 4, 6,
2, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 6, 12, 2, 10, 8, 6, 10, 2, 4,
6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 16, 12, 2, 4,
2, 10, 8, 4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 12, 2, 4,
2, 4, 8, 6, 10, 2, 4, 6, 2, 16, 2, 4, 6, 2, 6, 4,
6, 2, 12, 10, 2, 10, 6, 2, 6, 6, 4, 6, 6, 2, 6, 4,
2, 6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6, 8,
6, 4, 2, 10, 12, 2, 4, 2, 10, 2, 12, 4, 2, 12, 6, 4,
2, 4, 6, 6, 2, 6, 4, 12, 6, 8, 6, 4, 2, 12, 10, 6,
6, 6, 2, 6, 6, 4, 2, 4, 14, 4, 2, 4, 2, 10, 2, 10,
2, 6, 4, 6, 2, 6, 4, 2, 10, 6, 8, 4, 8, 10, 8, 4,
2, 6, 4, 8, 10, 6, 2, 4, 14, 6, 4, 2, 4, 6, 2, 6,
4, 6, 2, 12, 10, 2, 4, 6, 6, 2, 6, 4, 2, 4, 6, 6,
2, 12, 6, 4, 6, 14, 4, 2, 4, 8, 6, 4, 8, 4, 8, 6,
6, 4, 6, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6,
2, 10, 6, 6, 14, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 14,
4, 6, 2, 4, 6, 2, 6, 10, 12, 2, 6, 6, 16, 2, 10, 2,
4, 2, 4, 6, 2, 6, 6, 10, 6, 2, 10, 2, 6, 4, 14, 4,
2, 4, 2, 12, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8,
6, 6, 6, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6,
6, 2, 6, 4, 2, 16, 8, 6, 4, 2, 4, 8, 6, 4, 6, 2,
10, 8, 6, 10, 6, 2, 6, 4, 2, 4, 2, 10, 14, 4, 2, 10,
2, 10, 6, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4,
8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 8, 6, 4, 6,
12, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 8, 6, 6,
4, 6, 8, 4, 2, 4, 2, 18, 4, 6, 12, 2, 6, 6, 4, 2,
10, 2, 12, 4, 2, 12, 10, 2, 4, 2, 4, 6, 8, 4, 6, 6,
8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 12, 4,
6, 2, 6, 12, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 4,
2, 4, 6, 8, 4, 2, 4, 14, 6, 4, 2, 6, 10, 12, 2, 4,
6, 8, 10, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 10, 2,
4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 6, 4, 12, 2, 6, 4,
2, 6, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2, 4, 6, 8,
6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 12, 6, 2, 4, 8,
6, 4, 2, 16, 2, 6, 4, 12, 6, 8, 4, 2, 4, 2, 4, 8,
6, 10, 6, 8, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 12,
10, 2, 6, 4, 6, 2, 6, 6, 4, 6, 6, 8, 4, 2, 6, 10,
8, 4, 6, 6, 8, 10, 6, 2, 12, 6, 6, 4, 2, 4, 6, 8,
4, 6, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6,
2, 6, 6, 6, 4, 6, 8, 10, 2, 4, 8, 10, 8, 4, 6, 2,
6, 6, 4, 2, 4, 14, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2,
4, 8, 10, 2, 10, 8, 6, 4, 8, 4, 6, 12, 6, 2, 4, 8,
6, 10, 2, 4, 6, 8, 6, 4, 6, 6, 2, 6, 6, 4, 12, 2,
10, 2, 4, 12, 2, 6, 4, 2, 10, 6, 2, 6, 6, 6, 4, 6,
12, 2, 4, 2, 12, 6, 4, 6, 2, 4, 8, 12, 4, 2, 4, 8,
6, 4, 6, 2, 10, 2, 10, 8, 4, 6, 2, 6, 4, 6, 6, 6,
2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 14, 4, 6, 2, 4,
6, 2, 6, 6, 6, 10, 2, 10, 2, 4, 12, 14, 4, 2, 10, 2,
6, 6, 4, 6, 6, 2, 10, 2, 10, 14, 4, 2, 4, 2, 12, 6,
4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 16,
2, 16, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 8,
4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4,
6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6,
6, 6, 2, 10, 2, 6, 4, 14, 6, 4, 6, 8, 6, 10, 2, 4,
6, 2, 6, 6, 10, 6, 2, 6, 4, 8, 10, 2, 10, 2, 4, 2,
4, 6, 8, 4, 2, 4, 12, 8, 4, 2, 6, 4, 6, 12, 2, 4,
2, 12, 6, 4, 6, 6, 6, 2, 6, 10, 2, 4, 6, 2, 6, 6,
6, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 8, 6, 4,
2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 8, 4, 6, 18, 2,
10, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2,
4, 6, 6, 2, 6, 4, 8, 10, 8, 4, 2, 4, 6, 8, 6, 4,
6, 6, 6, 8, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 10, 2,
10, 2, 6, 4, 8, 6, 4, 6, 6, 6, 8, 4, 2, 6, 10, 8,
4, 2, 6, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 8,
6, 4, 6, 2, 10, 12, 2, 4, 2, 4, 6, 2, 10, 2, 4, 12,
2, 6, 6, 10, 6, 8, 4, 2, 4, 2, 4, 8, 6, 16, 6, 2,
12, 4, 2, 10, 8, 4, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6,
12, 2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4,
8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 10, 6, 8, 6, 4, 2,
10, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 10, 8, 6, 4, 2,
6, 4, 6, 8, 6, 4, 2, 12, 10, 6, 2, 4, 6, 2, 12, 4,
2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 6, 6, 2, 6,
4, 2, 16, 2, 6, 4, 12, 6, 8, 6, 4, 2, 4, 14, 4, 6,
2, 4, 6, 8, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12,
6, 12, 2, 6, 4, 2, 10, 6, 2, 12, 6, 4, 18, 2, 4, 2,
4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6,
4, 2, 4, 12, 2, 12, 6, 4, 6, 2, 6, 10, 6, 6, 2, 6,
4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 14, 4, 6, 2, 10, 2,
6, 6, 4, 2, 10, 2, 10, 2, 4, 24, 2, 4, 2, 4, 6, 2,
6, 10, 6, 6, 2, 10, 2, 6, 4, 6, 8, 4, 6, 6, 8, 6,
12, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10,
2, 10, 6, 2, 4, 14, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4,
6, 12, 2, 4, 2, 4, 8, 6, 10, 2, 10, 2, 6, 10, 6, 6,
2, 6, 4, 2, 4, 12, 2, 12, 4, 12, 2, 12, 4, 6, 6, 2,
6, 4, 2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4,
6, 8, 6, 6, 10, 2, 6, 4, 6, 2, 10, 2, 10, 2, 6, 4,
8, 6, 4, 2, 4, 6, 6, 8, 4, 8, 4, 6, 8, 4, 2, 4,
2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 12,
4, 2, 10, 2, 12, 6, 4, 6, 2, 6, 4, 2, 4, 6, 14, 4,
2, 16, 8, 4, 2, 4, 2, 12, 10, 8, 4, 8, 6, 10, 2, 4,
6, 8, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2,
4, 6, 6, 2, 6, 12, 10, 8, 4, 2, 10, 8, 6, 4, 8, 4,
6, 2, 6, 6, 4, 2, 4, 6, 12, 2, 4, 2, 12, 10, 2, 4,
2, 4, 8, 10, 2, 4, 6, 8, 10, 2, 6, 4, 6, 8, 12, 4,
8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6,
4, 2, 10, 12, 2, 4, 2, 4, 6, 2, 6, 4, 2, 16, 8, 4,
2, 10, 6, 8, 4, 2, 4, 2, 12, 6, 10, 2, 4, 6, 2, 16,
2, 4, 8, 6, 4, 2, 6, 12, 10, 6, 2, 4, 6, 2, 6, 4,
2, 4, 6, 6, 2, 6, 4, 2, 10, 14, 10, 2, 4, 8, 6, 4,
6, 2, 4, 6, 2, 12, 6, 4, 6, 8, 6, 4, 2, 10, 12, 2,
4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 18, 6,
4, 2, 4, 8, 10, 6, 2, 4, 6, 8, 6, 4, 2, 4, 8, 6,
4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4, 12, 6, 2,
6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10,
8, 6, 4, 2, 4, 8, 10, 2, 4, 2, 12, 10, 2, 4, 6, 6,
2, 10, 6, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 6, 8,
6, 10, 6, 8, 6, 6, 4, 2, 10, 2, 6, 4, 2, 6, 10, 2,
10, 2, 6, 4, 6, 8, 4, 6, 12, 2, 6, 4, 2, 6, 4, 6,
12, 2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 12, 10, 2,
6, 4, 2, 4, 12, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6,
8, 10, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 10, 6, 2, 4,
6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 6, 10, 2, 10, 6, 6,
8, 6, 4, 2, 4, 12, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4,
2, 4, 14, 4, 6, 12, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2,
4, 2, 10, 2, 18, 4, 6, 2, 10, 2, 10, 6, 8, 4, 2, 6,
18, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 6, 4,
6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6,
6, 4, 6, 6, 8, 6, 6, 4, 6, 8, 4, 2, 4, 14, 6, 4,
18, 2, 6, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 12, 2, 4,
2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8,
4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 6, 6, 2,
6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 10, 6,
2, 6, 4, 2, 6, 10, 12, 2, 4, 14, 6, 10, 2, 4, 6, 2,
12, 4, 2, 4, 8, 10, 2, 4, 12, 2, 10, 6, 2, 12, 6, 4,
2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 6, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2,
10, 12, 2, 6, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 10, 14,
4, 2, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4,
6, 2, 10, 2, 4, 14, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4,
6, 6, 2, 6, 4, 2, 10, 6, 8, 4, 6, 2, 18, 4, 6, 2,
10, 2, 6, 6, 4, 2, 4, 6, 12, 2, 4, 2, 12, 10, 2, 4,
2, 10, 2, 6, 4, 6, 6, 6, 2, 6, 4, 8, 4, 6, 8, 6,
10, 8, 16, 2, 4, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2,
6, 12, 10, 2, 4, 2, 4, 6, 8, 4, 2, 16, 2, 10, 8, 4,
6, 14, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 10, 6, 6,
2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6,
4, 6, 6, 8, 6, 6, 4, 6, 12, 2, 6, 4, 8, 6, 4, 6,
2, 4, 14, 10, 2, 10, 2, 6, 4, 2, 6, 10, 2, 10, 2, 6,
4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 8, 4, 14, 4, 2, 4,
2, 4, 14, 4, 6, 6, 6, 2, 12, 4, 2, 10, 2, 6, 6, 4,
12, 2, 10, 2, 6, 4, 6, 2, 6, 6, 4, 6, 6, 12, 2, 6,
10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 14, 6, 4, 2,
4, 6, 2, 6, 4, 8, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4,
6, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8,
6, 4, 8, 10, 2, 6, 6, 4, 6, 14, 4, 2, 4, 2, 10, 2,
12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 6, 6, 4, 14,
4, 6, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 16, 2, 6,
10, 2, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 10, 6, 8,
4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6,
2, 12, 6, 4, 8, 6, 6, 4, 2, 10, 2, 10, 6, 2, 4, 6,
2, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 6, 8, 6, 4, 2,
4, 8, 10, 8, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 2, 4,
2, 10, 12, 2, 4, 12, 8, 4, 2, 4, 12, 2, 10, 2, 6, 18,
4, 2, 4, 6, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4,
6, 2, 10, 2, 4, 12, 2, 16, 2, 4, 8, 6, 4, 2, 10, 6,
2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2,
12, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 22, 2, 4, 2,
4, 6, 2, 6, 10, 12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4,
6, 8, 6, 10, 2, 10, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2,
6, 22, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2,
6, 4, 6, 12, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10,
2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 14, 6, 6,
4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 14, 6, 4, 8, 16, 2,
4, 6, 8, 6, 4, 2, 12, 6, 4, 2, 4, 12, 2, 10, 2, 4,
2, 12, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2,
4, 2, 4, 8, 6, 4, 6, 6, 6, 8, 6, 4, 2, 4, 6, 2,
6, 4, 6, 2, 10, 2, 10, 2, 10, 6, 2, 6, 4, 2, 4, 6,
6, 8, 6, 6, 10, 12, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8,
6, 6, 4, 2, 4, 6, 2, 10, 6, 2, 10, 2, 12, 6, 4, 6,
2, 6, 4, 6, 6, 6, 2, 6, 6, 10, 6, 8, 4, 2, 4, 2,
18, 4, 8, 4, 6, 2, 6, 6, 4, 2, 10, 8, 4, 2, 4, 12,
2, 10, 2, 4, 2, 4, 6, 2, 12, 4, 6, 8, 10, 8, 4, 6,
8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6,
6, 2, 6, 6, 6, 12, 10, 6, 2, 4, 6, 2, 6, 4, 2, 10,
6, 2, 10, 2, 6, 4, 6, 8, 6, 4, 2, 12, 6, 4, 6, 2,
10, 2, 12, 4, 6, 8, 6, 4, 2, 4, 2, 10, 2, 16, 2, 4,
6, 2, 10, 2, 4, 6, 6, 8, 4, 2, 10, 14, 6, 4, 2, 4,
8, 6, 4, 6, 2, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 8,
10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 12, 2, 6,
4, 14, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 12, 4, 2,
4, 6, 2, 6, 6, 4, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4,
2, 4, 6, 8, 6, 4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 14,
4, 8, 10, 8, 10, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2,
4, 2, 4, 6, 8, 4, 6, 6, 6, 2, 6, 4, 2, 6, 10, 8,
4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4,
8, 10, 2, 6, 10, 2, 10, 2, 4, 2, 4, 18, 2, 4, 12, 2,
6, 6, 6, 4, 6, 12, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2,
6, 10, 2, 10, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 6, 6,
8, 6, 4, 12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 4, 8,
6, 10, 2, 4, 6, 14, 6, 10, 2, 6, 4, 2, 4, 2, 12, 10,
2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6,
8, 4, 6, 2, 4, 8, 10, 6, 6, 6, 2, 6, 6, 4, 2, 4,
6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 16, 2, 6, 4, 2, 4,
12, 8, 4, 2, 6, 10, 8, 6, 4, 2, 4, 18, 6, 2, 4, 8,
6, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 10, 6, 2, 4,
6, 2, 6, 4, 2, 10, 6, 2, 6, 12, 4, 6, 8, 4, 2, 4,
2, 4, 8, 6, 4, 8, 4, 14, 6, 4, 2, 4, 6, 8, 4, 2,
4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 12, 4, 6, 8, 6, 6,
6, 4, 6, 12, 6, 6, 8, 6, 4, 6, 2, 12, 6, 6, 4, 6,
6, 2, 6, 6, 4, 2, 10, 12, 2, 6, 4, 6, 2, 6, 4, 12,
6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 18, 4, 8, 4,
6, 2, 12, 4, 2, 12, 6, 4, 2, 4, 12, 2, 10, 6, 2, 4,
8, 6, 6, 4, 6, 6, 2, 10, 2, 10, 6, 14, 4, 2, 4, 8,
6, 10, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 2, 16,
12, 6, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4,
14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 6, 6, 4,
6, 6, 2, 6, 4, 6, 12, 2, 12, 6, 4, 6, 2, 10, 2, 4,
6, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4,
6, 2, 10, 2, 6, 6, 6, 4, 6, 2, 10, 6, 2, 12, 12, 4,
2, 4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 10, 6, 8, 4,
2, 4, 14, 6, 10, 6, 6, 2, 6, 6, 4, 2, 4, 6, 8, 6,
6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 14, 6, 4,
8, 4, 6, 12, 2, 6, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10,
2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10, 2, 4, 6, 6, 8,
6, 4, 6, 6, 2, 10, 2, 6, 10, 8, 6, 10, 8, 6, 4, 6,
2, 4, 6, 8, 6, 4, 12, 2, 10, 2, 4, 2, 10, 2, 10, 2,
4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 8, 4, 6, 8,
4, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 10, 2, 4, 6,
2, 6, 4, 2, 6, 10, 12, 2, 6, 4, 6, 2, 6, 4, 2, 4,
12, 8, 4, 2, 24, 4, 2, 4, 2, 4, 8, 16, 2, 4, 8, 12,
4, 2, 4, 6, 2, 6, 10, 2, 12, 10, 2, 4, 2, 4, 6, 2,
6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 10, 8, 4, 6, 2, 4,
8, 6, 4, 8, 4, 6, 8, 6, 4, 2, 4, 6, 8, 4, 2, 4,
2, 10, 2, 10, 2, 4, 2, 10, 2, 10, 6, 6, 8, 6, 4, 2,
6, 4, 6, 8, 10, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6,
4, 6, 8, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2,
10, 2, 10, 6, 2, 6, 12, 4, 6, 8, 4, 2, 4, 2, 12, 6,
4, 6, 6, 6, 14, 4, 2, 12, 6, 4, 2, 4, 2, 10, 2, 10,
6, 6, 6, 8, 4, 2, 4, 6, 6, 2, 6, 6, 10, 6, 14, 4,
2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 6,
4, 2, 4, 2, 10, 12, 2, 6, 10, 2, 6, 4, 6, 6, 8, 10,
2, 6, 4, 14, 4, 2, 4, 2, 4, 18, 6, 2, 4, 6, 2, 6,
6, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 12, 4, 6, 6, 2,
6, 6, 4, 12, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4,
14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6,
12, 10, 6, 2, 4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 2, 6,
4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 12, 6, 6, 4, 6,
6, 2, 6, 4, 2, 6, 10, 2, 12, 4, 2, 4, 6, 14, 4, 12,
2, 6, 4, 2, 6, 4, 18, 2, 4, 6, 8, 6, 4, 6, 2, 10,
2, 6, 12, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2, 4, 6, 6,
2, 6, 6, 4, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 8, 12,
6, 4, 12, 6, 8, 6, 4, 2, 10, 2, 6, 6, 4, 2, 10, 2,
10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 8, 6, 4, 8, 4,
6, 12, 2, 4, 2, 4, 8, 6, 16, 6, 2, 6, 10, 2, 4, 6,
2, 6, 4, 2, 4, 12, 2, 10, 2, 6, 10, 8, 4, 2, 4, 6,
6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8, 10, 6, 2, 4,
8, 6, 6, 4, 2, 4, 6, 2, 10, 6, 2, 10, 2, 10, 2, 6,
4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4,
2, 6, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 6,
12, 2, 4, 2, 10, 14, 4, 2, 4, 6, 2, 10, 2, 4, 14, 6,
4, 2, 10, 6, 8, 4, 6, 2, 12, 6, 10, 2, 4, 6, 2, 12,
4, 6, 6, 8, 6, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6,
4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 8, 12, 6, 4,
6, 2, 4, 6, 2, 12, 4, 2, 4, 14, 4, 2, 4, 2, 12, 10,
6, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 10, 6, 8,
6, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 10, 8, 6,
4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 10, 6,
12, 8, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6,
8, 10, 2, 4, 6, 2, 6, 4, 2, 16, 2, 12, 4, 6, 6, 2,
6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 18, 2, 4, 2, 4,
14, 4, 6, 2, 12, 12, 4, 2, 4, 6, 2, 12, 4, 2, 12, 10,
2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 10,
8, 4, 2, 4, 6, 14, 10, 2, 4, 6, 8, 6, 4, 2, 10, 2,
6, 4, 2, 16, 2, 10, 2, 4, 2, 4, 6, 8, 10, 12, 2, 10,
2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6,
2, 6, 10, 2, 4, 8, 6, 4, 2, 6, 10, 2, 10, 6, 6, 6,
2, 12, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 6, 4,
8, 6, 4, 6, 12, 8, 6, 4, 12, 2, 6, 4, 2, 4, 2, 10,
2, 12, 4, 2, 4, 18, 2, 4, 6, 6, 2, 6, 4, 8, 4, 14,
4, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4,
6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4,
2, 4, 6, 14, 4, 2, 6, 10, 8, 4, 2, 4, 2, 12, 10, 6,
6, 8, 6, 6, 4, 2, 4, 6, 2, 6, 10, 2, 10, 2, 10, 2,
4, 6, 6, 2, 6, 4, 2, 4, 14, 6, 6, 6, 4, 6, 8, 4,
2, 4, 2, 4, 14, 4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 8,
4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 12, 2, 10, 8, 6,
4, 2, 6, 10, 8, 4, 6, 6, 8, 6, 4, 6, 2, 4, 8, 6,
6, 4, 6, 6, 2, 12, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8,
6, 6, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 18, 6,
4, 6, 2, 10, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10,
12, 6, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 6, 4, 2, 10,
6, 8, 10, 2, 4, 8, 6, 12, 4, 6, 2, 12, 6, 4, 6, 2,
6, 4, 2, 4, 2, 22, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6,
2, 10, 2, 6, 4, 18, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2,
6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 12, 4, 2, 10,
2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6,
4, 2, 4, 18, 6, 2, 10, 2, 6, 6, 4, 2, 4, 8, 10, 6,
2, 12, 10, 2, 6, 4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 8,
4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 8, 6, 4,
2, 4, 6, 2, 10, 2, 6, 10, 2, 12, 4, 6, 6, 8, 4, 2,
4, 12, 2, 6, 6, 10, 6, 12, 2, 4, 2, 12, 6, 4, 6, 2,
4, 8, 6, 10, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2,
10, 6, 2, 6, 10, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2,
6, 4, 14, 4, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4,
2, 4, 14, 10, 2, 4, 2, 4, 8, 6, 6, 4, 6, 6, 2, 10,
8, 4, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6,
6, 4, 6, 6, 2, 6, 4, 2, 6, 10, 2, 10, 8, 4, 6, 2,
6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2,
4, 8, 10, 6, 2, 12, 6, 10, 6, 6, 2, 6, 4, 8, 10, 2,
12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 6, 6, 4,
14, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 12, 6, 4,
6, 8, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 4,
6, 14, 4, 2, 6, 10, 8, 4, 6, 2, 12, 6, 4, 6, 6, 6,
8, 6, 4, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2,
4, 6, 2, 6, 4, 12, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2,
4, 2, 12, 6, 4, 8, 4, 6, 2, 16, 2, 4, 8, 6, 4, 2,
4, 2, 10, 2, 10, 6, 2, 4, 6, 12, 2, 4, 6, 6, 2, 6,
6, 16, 8, 6, 4, 6, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6,
10, 2, 10, 2, 4, 2, 10, 12, 2, 4, 2, 18, 4, 2, 4, 6,
6, 2, 10, 2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 12, 14, 4,
2, 4, 6, 2, 6, 4, 2, 4, 14, 6, 4, 2, 10, 6, 8, 4,
2, 4, 2, 4, 24, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2,
4, 2, 12, 10, 2, 4, 6, 6, 2, 6, 4, 6, 12, 2, 6, 4,
2, 6, 4, 6, 8, 4, 6, 6, 14, 10, 2, 4, 6, 2, 6, 6,
4, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 6, 2, 10, 8, 4,
2, 16, 2, 6, 4, 2, 6, 4, 6, 14, 4, 2, 4, 8, 10, 6,
2, 4, 8, 6, 10, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10,
2, 4, 6, 6, 2, 6, 6, 10, 6, 2, 6, 4, 8, 4, 6, 8,
4, 2, 10, 8, 6, 4, 6, 2, 10, 8, 6, 4, 2, 10, 2, 6,
4, 2, 4, 2, 10, 12, 2, 4, 6, 8, 6, 4, 2, 4, 6, 6,
2, 6, 12, 4, 6, 12, 6, 2, 4, 8, 6, 4, 12, 8, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4,
8, 6, 4, 6, 6, 6, 8, 4, 2, 6, 10, 12, 2, 4, 2, 4,
24, 2, 4, 8, 6, 6, 4, 2, 10, 2, 6, 4, 6, 12, 2, 10,
2, 4, 2, 10, 2, 6, 6, 4, 6, 6, 2, 12, 6, 4, 6, 8,
4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2,
4, 6, 8, 4, 8, 10, 2, 10, 8, 4, 6, 2, 10, 2, 4, 6,
8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6,
2, 10, 2, 6, 6, 4, 6, 6, 2, 12, 4, 2, 10, 2, 12, 4,
2, 4, 6, 2, 10, 2, 10, 6, 2, 6, 4, 2, 10, 14, 4, 2,
4, 2, 12, 6, 4, 6, 2, 4, 6, 2, 12, 6, 4, 14, 4, 6,
2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8,
4, 12, 6, 8, 6, 6, 12, 6, 4, 6, 6, 6, 2, 6, 6, 6,
4, 6, 2, 6, 6, 4, 2, 22, 2, 4, 2, 10, 2, 6, 4, 2,
4, 6, 8, 10, 2, 6, 4, 14, 6, 4, 2, 4, 8, 6, 4, 8,
4, 6, 2, 6, 10, 6, 6, 2, 6, 4, 2, 4, 12, 2, 12, 4,
2, 4, 6, 8, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4,
2, 4, 6, 14, 4, 6, 2, 10, 2, 6, 10, 2, 4, 6, 2, 10,
2, 6, 12, 10, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6,
4, 2, 6, 4, 14, 4, 2, 10, 8, 6, 10, 2, 4, 6, 2, 12,
4, 2, 4, 6, 2, 6, 6, 6, 10, 12, 2, 4, 2, 4, 6, 8,
4, 2, 4, 12, 2, 6, 4, 2, 16, 12, 2, 4, 2, 4, 8, 6,
10, 2, 4, 6, 18, 2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10,
2, 4, 6, 6, 2, 6, 10, 6, 6, 2, 6, 4, 2, 6, 4, 6,
8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 18,
4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 12, 10, 2, 4, 6, 6,
2, 6, 12, 4, 6, 8, 6, 4, 2, 4, 8, 10, 6, 6, 6, 2,
6, 6, 4, 2, 12, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4,
6, 8, 4, 2, 10, 6, 8, 4, 8, 10, 8, 4, 2, 4, 2, 4,
8, 10, 6, 2, 4, 14, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10,
2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 4, 6, 8, 6, 6, 6,
4, 6, 12, 2, 4, 2, 4, 8, 10, 8, 4, 8, 6, 6, 4, 2,
4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 10, 6, 2, 10, 6,
14, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 2,
4, 6, 2, 6, 6, 4, 12, 2, 6, 6, 4, 12, 2, 10, 6, 2,
4, 6, 2, 6, 6, 10, 6, 2, 10, 2, 6, 4, 6, 8, 4, 2,
4, 2, 12, 6, 4, 6, 2, 4, 8, 12, 4, 2, 4, 8, 6, 4,
2, 6, 10, 2, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2,
6, 4, 2, 10, 6, 8, 6, 4, 6, 8, 6, 4, 6, 2, 10, 2,
6, 6, 10, 6, 2, 6, 4, 2, 4, 2, 10, 14, 4, 2, 10, 2,
10, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 6, 2, 4, 8,
6, 4, 8, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 12,
2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6,
4, 6, 12, 2, 4, 2, 18, 10, 12, 2, 6, 6, 4, 2, 4, 6,
2, 12, 4, 14, 10, 2, 4, 2, 10, 2, 6, 4, 6, 6, 8, 6,
4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 12, 4, 6, 2,
6, 10, 2, 4, 6, 2, 6, 4, 8, 10, 2, 10, 2, 6, 4, 6,
8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 10, 12, 2, 4, 6, 8,
6, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 10, 2, 4,
2, 10, 2, 12, 4, 6, 8, 6, 6, 4, 6, 6, 2, 6, 4, 2,
10, 6, 8, 4, 2, 6, 12, 6, 4, 6, 2, 4, 6, 8, 6, 4,
2, 10, 8, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 8, 6, 4,
2, 4, 12, 2, 6, 4, 12, 6, 8, 4, 2, 6, 4, 8, 6, 10,
6, 6, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10,
2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 12, 2, 6, 10, 8,
10, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 6, 6, 8, 4,
6, 2, 10, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6,
8, 6, 6, 4, 6, 8, 6, 4, 2, 4, 8, 10, 8, 4, 6, 2,
6, 10, 2, 4, 14, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 6,
2, 10, 2, 10, 8, 6, 4, 8, 4, 14, 4, 6, 2, 4, 8, 6,
4, 6, 2, 4, 6, 14, 4, 6, 6, 2, 6, 6, 4, 2, 10, 2,
10, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 2, 6, 6, 6, 10,
12, 2, 4, 2, 12, 6, 4, 6, 2, 4, 20, 4, 2, 4, 8, 6,
4, 2, 4, 2, 10, 2, 10, 8, 4, 6, 2, 6, 4, 6, 6, 6,
2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 14, 4, 6, 2, 4,
6, 2, 6, 6, 6, 12, 6, 4, 2, 4, 12, 12, 2, 4, 2, 10,
2, 12, 4, 6, 6, 2, 12, 6, 4, 14, 4, 2, 4, 2, 4, 8,
6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 16,
2, 16, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6,
4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6,
10, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6,
6, 8, 6, 4, 2, 6, 4, 14, 4, 2, 4, 6, 8, 16, 2, 4,
6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 8, 10, 2, 10, 2, 4,
6, 6, 8, 4, 2, 4, 12, 8, 4, 2, 6, 4, 6, 12, 2, 4,
2, 18, 4, 6, 6, 6, 2, 6, 10, 2, 4, 6, 2, 6, 6, 4,
2, 10, 2, 10, 6, 6, 6, 2, 6, 6, 10, 8, 6, 4, 2, 6,
4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 8, 4, 14, 10, 2, 10,
2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 14, 6, 4,
6, 6, 2, 6, 4, 8, 10, 8, 4, 2, 4, 6, 8, 6, 4, 6,
12, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 10, 12, 2,
6, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4,
8, 4, 8, 10, 8, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4,
6, 2, 10, 12, 2, 4, 2, 4, 8, 6, 4, 2, 4, 12, 2, 6,
6, 10, 6, 12, 2, 4, 2, 4, 8, 6, 12, 4, 6, 2, 12, 4,
2, 4, 6, 8, 4, 2, 4, 14, 10, 2, 4, 2, 10, 2, 10, 2,
4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 8, 10, 2, 10, 2,
10, 2, 6, 10, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4,
6, 8, 6, 4, 2, 12, 10, 6, 2, 4, 6, 2, 12, 4, 2, 4,
8, 10, 2, 4, 2, 10, 2, 16, 2, 4, 6, 2, 6, 4, 2, 10,
6, 2, 6, 4, 12, 6, 8, 6, 4, 2, 12, 6, 4, 6, 2, 4,
6, 8, 6, 6, 4, 6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 12,
2, 6, 4, 2, 4, 6, 6, 2, 18, 4, 18, 2, 6, 4, 8, 6,
4, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4,
14, 12, 6, 4, 6, 2, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4,
6, 8, 6, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 12,
2, 10, 2, 4, 14, 10, 2, 4, 2, 4, 6, 2, 6, 10, 6, 6,
12, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6,
2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 6, 2,
4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 18, 2, 4,
2, 4, 8, 6, 4, 6, 2, 10, 2, 16, 6, 6, 2, 6, 6, 4,
2, 10, 2, 12, 4, 6, 6, 2, 12, 4, 6, 6, 2, 6, 4, 2,
6, 18, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 6,
10, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4,
6, 6, 6, 8, 4, 8, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4,
6, 6, 6, 2, 6, 6, 4, 2, 4, 8, 6, 6, 4, 2, 10, 2,
10, 2, 6, 4, 6, 2, 10, 2, 4, 6, 14, 6, 6, 10, 8, 4,
2, 4, 2, 4, 8, 10, 12, 8, 6, 10, 2, 10, 2, 6, 4, 6,
2, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2,
6, 6, 6, 10, 8, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6, 2,
6, 6, 6, 4, 6, 12, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4,
8, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 8, 4,
8, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6, 4,
2, 10, 12, 2, 4, 6, 6, 2, 6, 4, 2, 16, 2, 6, 4, 2,
10, 6, 8, 4, 2, 4, 2, 18, 10, 2, 4, 6, 2, 12, 4, 2,
4, 8, 6, 4, 2, 4, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4,
2, 10, 6, 2, 6, 4, 2, 10, 6, 8, 10, 2, 4, 8, 6, 4,
6, 2, 4, 8, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 10, 12,
2, 4, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 14,
6, 4, 6, 8, 10, 6, 2, 10, 2, 6, 6, 4, 2, 4, 8, 6,
4, 2, 4, 12, 14, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2,
6, 4, 8, 4, 6, 8, 4, 6, 2, 4, 14, 4, 8, 10, 8, 6,
4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 4, 6, 8, 6,
4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 6, 8, 6,
10, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 16, 2,
10, 2, 6, 10, 8, 4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 12,
2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 10, 2, 10, 2,
6, 4, 6, 12, 2, 10, 2, 10, 6, 2, 6, 6, 4, 6, 6, 2,
10, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4,
6, 8, 6, 4, 2, 10, 2, 10, 2, 6, 10, 2, 16, 2, 4, 8,
6, 4, 2, 4, 6, 6, 2, 6, 4, 12, 6, 8, 4, 2, 4, 2,
12, 6, 4, 6, 12, 2, 6, 6, 4, 6, 6, 8, 4, 2, 4, 2,
10, 2, 12, 6, 4, 6, 2, 10, 2, 4, 6, 6, 8, 4, 8, 18,
4, 2, 6, 4, 8, 10, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2,
6, 4, 6, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4,
6, 6, 14, 6, 4, 6, 8, 6, 4, 2, 12, 6, 4, 12, 6, 2,
6, 6, 4, 6, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4,
6, 2, 10, 2, 4, 6, 14, 4, 2, 6, 4, 6, 8, 4, 6, 2,
4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 6, 6, 2, 6, 6, 6,
10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 10, 6, 2, 6, 4,
2, 6, 18, 4, 2, 4, 14, 6, 4, 6, 2, 4, 6, 2, 12, 4,
2, 4, 8, 12, 4, 2, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2,
4, 6, 6, 2, 6, 4, 2, 16, 8, 6, 6, 4, 8, 6, 4, 6,
2, 4, 6, 8, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12,
2, 4, 2, 10, 2, 6, 4, 6, 12, 2, 10, 2, 10, 14, 4, 2,
4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6,
4, 2, 4, 14, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2,
6, 6, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 12, 2, 6,
6, 4, 2, 10, 12, 2, 4, 2, 12, 10, 2, 4, 2, 10, 8, 4,
6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 4, 6, 8, 16,
2, 4, 6, 2, 6, 6, 6, 4, 8, 6, 4, 2, 6, 10, 2, 10,
2, 4, 2, 4, 6, 8, 4, 2, 18, 6, 4, 8, 4, 6, 12, 2,
4, 2, 4, 8, 10, 6, 2, 4, 6, 8, 10, 2, 4, 6, 2, 6,
4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 12,
2, 6, 6, 6, 4, 6, 12, 2, 6, 4, 14, 4, 6, 2, 4, 14,
6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 8, 4, 8,
6, 4, 12, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4,
14, 4, 6, 6, 8, 6, 6, 4, 2, 10, 2, 6, 4, 2, 4, 12,
2, 10, 2, 6, 4, 6, 2, 6, 6, 4, 6, 6, 12, 2, 6, 10,
8, 4, 2, 4, 6, 8, 10, 6, 2, 12, 6, 6, 4, 2, 4, 6,
2, 6, 4, 8, 10, 12, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6,
6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 8,
10, 2, 6, 6, 4, 6, 6, 8, 4, 2, 4, 2, 10, 2, 12, 4,
2, 4, 8, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 18, 6, 2,
4, 8, 6, 10, 2, 4, 6, 2, 6, 6, 10, 6, 2, 6, 10, 12,
2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6,
4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 12, 4,
2, 4, 8, 6, 10, 2, 10, 2, 10, 8, 4, 6, 2, 6, 4, 2,
4, 6, 8, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4,
8, 4, 6, 2, 6, 12, 4, 6, 2, 10, 2, 4, 2, 10, 14, 4,
2, 10, 8, 4, 2, 4, 6, 6, 2, 10, 2, 24, 4, 2, 4, 14,
6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 12, 2, 4,
12, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4,
8, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2, 10, 2, 6, 6,
4, 2, 4, 6, 2, 10, 2, 4, 2, 22, 2, 4, 2, 4, 6, 2,
6, 4, 6, 12, 2, 10, 2, 10, 6, 8, 6, 4, 6, 8, 6, 10,
2, 4, 6, 2, 12, 4, 6, 6, 2, 6, 4, 2, 6, 12, 10, 2,
4, 2, 4, 6, 8, 4, 2, 4, 12, 8, 4, 2, 6, 4, 6, 12,
6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6,
8, 4, 2, 6, 10, 2, 10, 2, 4, 12, 2, 6, 6, 4, 6, 6,
2, 6, 4, 2, 6, 4, 14, 6, 6, 4, 8, 10, 6, 2, 4, 6,
14, 4, 2, 12, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8,
6, 4, 2, 10, 6, 2, 6, 4, 8, 10, 8, 4, 2, 4, 2, 4,
8, 6, 4, 6, 6, 6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2,
4, 2, 10, 2, 10, 2, 10, 6, 2, 6, 4, 6, 6, 6, 8, 6,
6, 10, 12, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4,
2, 4, 8, 6, 4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 2, 10,
6, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14,
4, 12, 6, 2, 6, 6, 4, 2, 10, 8, 4, 2, 4, 12, 2, 10,
2, 4, 2, 4, 6, 14, 4, 6, 8, 10, 2, 6, 4, 6, 8, 4,
6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 10, 6, 2,
6, 6, 6, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 10, 8,
6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 10, 6, 2, 10,
2, 12, 4, 6, 8, 6, 4, 2, 4, 2, 10, 2, 16, 6, 6, 2,
10, 2, 4, 12, 2, 6, 4, 2, 10, 14, 6, 4, 2, 4, 14, 4,
6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10,
12, 6, 2, 10, 2, 6, 4, 2, 10, 6, 12, 2, 6, 4, 14, 4,
2, 4, 2, 12, 6, 4, 6, 6, 8, 6, 6, 4, 2, 4, 6, 2,
6, 6, 4, 12, 2, 12, 4, 2, 4, 6, 2, 6, 6, 4, 6, 8,
6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 14, 4, 8, 10, 2,
6, 10, 2, 4, 6, 2, 10, 2, 4, 2, 22, 2, 4, 2, 4, 6,
8, 4, 6, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 6, 6, 8,
6, 12, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6, 10,
2, 10, 2, 4, 2, 4, 14, 4, 2, 4, 12, 2, 6, 4, 2, 6,
4, 6, 12, 2, 6, 4, 8, 6, 10, 2, 4, 6, 2, 6, 10, 2,
4, 6, 2, 6, 4, 2, 4, 12, 12, 2, 4, 12, 2, 6, 6, 4,
12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 4, 8, 6, 10, 2,
4, 6, 14, 4, 2, 10, 2, 6, 4, 6, 2, 12, 10, 2, 6, 4,
8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 6,
2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 12,
2, 4, 2, 10, 2, 12, 6, 10, 2, 6, 4, 2, 4, 6, 6, 8,
4, 2, 16, 8, 6, 4, 2, 12, 10, 6, 2, 4, 8, 6, 6, 4,
2, 4, 14, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6,
4, 2, 10, 6, 2, 6, 12, 4, 6, 8, 4, 2, 6, 4, 8, 6,
4, 8, 4, 6, 8, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 12,
10, 2, 4, 6, 6, 2, 10, 2, 4, 6, 8, 12, 6, 4, 6, 18,
2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 6,
6, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 12, 6, 8,
4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 18, 4, 6, 2, 4, 6,
2, 16, 2, 12, 6, 4, 2, 16, 2, 10, 6, 2, 4, 6, 2, 6,
6, 4, 6, 6, 2, 10, 2, 10, 14, 6, 4, 2, 4, 8, 6, 4,
6, 2, 4, 6, 2, 12, 6, 4, 6, 2, 6, 6, 6, 10, 12, 6,
2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 18, 4, 2,
4, 2, 4, 8, 6, 4, 6, 2, 10, 8, 6, 4, 6, 6, 2, 6,
4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 2, 10, 6, 6, 6, 2,
6, 4, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10,
2, 6, 6, 6, 4, 8, 10, 6, 2, 12, 10, 2, 4, 2, 4, 6,
2, 10, 6, 6, 6, 8, 6, 6, 4, 6, 8, 4, 2, 4, 14, 6,
10, 6, 6, 2, 6, 6, 4, 2, 10, 2, 6, 6, 6, 10, 2, 10,
2, 4, 2, 4, 6, 8, 4, 2, 4, 14, 6, 4, 2, 6, 4, 6,
12, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 12, 4, 6,
2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 8, 6, 4,
6, 8, 6, 4, 2, 6, 10, 8, 4, 2, 10, 8, 10, 6, 2, 4,
6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2, 10, 2, 4,
6, 8, 6, 4, 2, 4, 12, 2, 6, 4, 8, 4, 6, 8, 4, 2,
6, 4, 14, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6,
4, 2, 4, 2, 10, 12, 8, 4, 6, 2, 6, 4, 2, 16, 8, 4,
2, 16, 8, 4, 2, 4, 2, 4, 8, 16, 2, 4, 8, 12, 4, 2,
4, 6, 2, 6, 4, 6, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6,
6, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 6, 8, 6,
4, 8, 10, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10,
12, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4,
6, 8, 10, 2, 4, 8, 10, 8, 4, 6, 2, 6, 6, 4, 6, 8,
6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 10,
6, 2, 6, 4, 8, 4, 6, 12, 2, 4, 2, 12, 6, 10, 2, 4,
6, 14, 4, 2, 4, 8, 6, 4, 2, 4, 12, 2, 10, 6, 12, 2,
6, 4, 2, 4, 6, 6, 2, 6, 6, 10, 6, 14, 4, 2, 4, 8,
6, 4, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2,
10, 12, 2, 6, 10, 2, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4,
14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4,
2, 10, 2, 10, 2, 4, 12, 2, 12, 4, 2, 4, 6, 2, 6, 6,
4, 6, 6, 2, 10, 2, 10, 6, 8, 4, 2, 4, 2, 18, 4, 6,
2, 10, 2, 6, 6, 4, 2, 4, 6, 12, 2, 6, 12, 10, 6, 2,
4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4,
2, 10, 8, 6, 10, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 4,
2, 6, 12, 12, 4, 2, 4, 6, 12, 2, 4, 12, 2, 10, 2, 6,
4, 20, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 16, 6,
2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4,
6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 6, 12, 6, 4, 6,
6, 6, 8, 10, 2, 10, 2, 6, 6, 6, 10, 2, 10, 2, 4, 2,
4, 8, 6, 4, 2, 4, 6, 8, 6, 4, 8, 4, 14, 4, 2, 4,
2, 4, 8, 6, 4, 12, 6, 2, 16, 2, 4, 6, 2, 6, 6, 4,
2, 10, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 6, 6, 8, 4,
2, 6, 10, 8, 4, 2, 4, 6, 8, 10, 6, 2, 4, 14, 6, 4,
2, 4, 6, 2, 10, 6, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6,
4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 6, 4, 8,
6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 14, 4, 2, 4, 2,
10, 12, 2, 4, 2, 4, 6, 2, 10, 2, 4, 14, 6, 6, 10, 6,
8, 4, 6, 2, 4, 8, 6, 10, 6, 6, 2, 12, 4, 12, 2, 6,
6, 4, 2, 12, 10, 2, 4, 2, 4, 6, 8, 4, 2, 10, 6, 2,
6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 12, 6, 4, 6, 2, 4,
6, 2, 12, 6, 4, 14, 4, 2, 4, 2, 10, 2, 10, 6, 2, 10,
2, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 6, 8, 6, 4, 2,
4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 6, 4, 8, 6, 4, 2,
4, 2, 10, 12, 2, 4, 12, 2, 6, 4, 2, 16, 2, 10, 8, 4,
14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 8, 6, 4, 2,
4, 6, 2, 6, 4, 2, 4, 12, 2, 16, 6, 6, 2, 6, 4, 2,
10, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 14, 4, 6,
2, 12, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2,
6, 4, 6, 2, 6, 10, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8,
4, 2, 4, 6, 14, 10, 2, 10, 2, 6, 6, 4, 2, 10, 2, 6,
4, 2, 16, 12, 2, 4, 2, 4, 6, 8, 6, 4, 12, 2, 10, 2,
6, 4, 6, 12, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10,
2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 6, 6, 8, 6, 6,
4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 12, 2, 6, 4, 8, 6,
10, 2, 10, 8, 6, 4, 12, 2, 6, 4, 2, 4, 12, 2, 12, 4,
2, 12, 10, 2, 4, 6, 6, 2, 6, 4, 8, 4, 14, 4, 2, 4,
2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6,
4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6,
6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2, 12, 10, 6, 6, 8,
6, 6, 4, 2, 4, 6, 2, 16, 2, 10, 2, 12, 4, 2, 4, 6,
2, 6, 4, 2, 4, 6, 8, 6, 6, 10, 6, 8, 4, 2, 4, 2,
12, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2, 4,
2, 10, 2, 10, 2, 4, 2, 4, 6, 12, 2, 4, 6, 8, 6, 4,
8, 10, 8, 4, 12, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4,
6, 6, 2, 12, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4, 2,
10, 6, 2, 10, 2, 6, 4, 6, 8, 6, 6, 12, 6, 4, 6, 2,
4, 6, 2, 12, 4, 6, 8, 6, 4, 2, 4, 2, 10, 12, 6, 2,
4, 6, 2, 6, 4, 2, 4, 12, 8, 4, 2, 10, 6, 8, 6, 4,
2, 4, 8, 6, 10, 2, 4, 6, 2, 18, 4, 6, 2, 6, 4, 2,
6, 22, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2,
6, 4, 14, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 12,
4, 2, 4, 6, 8, 6, 4, 12, 2, 12, 4, 2, 10, 2, 6, 4,
2, 4, 6, 6, 2, 6, 4, 2, 6, 10, 8, 6, 4, 2, 4, 18,
6, 2, 10, 8, 6, 4, 2, 4, 8, 10, 2, 4, 2, 12, 10, 2,
4, 2, 4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 8, 4, 6, 8,
4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 4, 8,
6, 4, 2, 6, 10, 2, 10, 2, 4, 6, 6, 12, 2, 4, 12, 2,
6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 6, 8,
6, 10, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 10, 6,
8, 10, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4,
14, 4, 6, 2, 4, 6, 8, 6, 6, 10, 2, 6, 4, 2, 4, 12,
2, 10, 2, 4, 2, 4, 8, 6, 6, 4, 6, 8, 10, 8, 4, 6,
8, 4, 2, 4, 2, 4, 8, 10, 6, 6, 6, 2, 6, 6, 4, 2,
4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 12, 6, 2, 6, 4, 2,
4, 12, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 18, 6, 2,
12, 6, 6, 4, 6, 6, 2, 6, 4, 6, 2, 10, 2, 16, 2, 4,
6, 2, 10, 2, 10, 6, 2, 6, 6, 6, 4, 14, 4, 2, 4, 2,
4, 8, 6, 4, 8, 4, 8, 6, 6, 6, 4, 6, 8, 4, 6, 2,
10, 2, 10, 2, 4, 2, 4, 6, 2, 12, 4, 6, 14, 4, 2, 6,
4, 6, 8, 4, 6, 14, 6, 4, 6, 12, 2, 6, 6, 4, 6, 6,
2, 6, 6, 4, 2, 10, 12, 2, 4, 2, 4, 6, 2, 6, 4, 2,
10, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 12, 6, 4, 8,
4, 6, 2, 16, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6,
2, 4, 14, 4, 2, 4, 6, 6, 2, 6, 4, 2, 16, 14, 4, 6,
8, 6, 10, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 10, 2, 4,
12, 12, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6,
4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6,
4, 2, 4, 6, 2, 6, 4, 6, 12, 14, 6, 4, 6, 2, 6, 4,
2, 4, 12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 2, 4, 14,
10, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 12,
4, 2, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 10, 6,
8, 4, 6, 14, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6,
8, 4, 2, 6, 10, 2, 10, 2, 4, 2, 10, 8, 4, 2, 4, 12,
2, 6, 4, 8, 4, 6, 14, 6, 4, 8, 10, 6, 2, 4, 6, 2,
6, 10, 2, 4, 8, 6, 4, 2, 4, 2, 12, 10, 2, 4, 6, 6,
2, 6, 6, 10, 6, 2, 10, 8, 4, 6, 8, 6, 6, 4, 8, 6,
4, 6, 2, 4, 6, 8, 6, 4, 12, 2, 6, 4, 2, 4, 2, 10,
2, 10, 2, 4, 6, 8, 6, 4, 2, 4, 6, 6, 8, 12, 4, 6,
12, 2, 4, 2, 4, 8, 6, 4, 6, 6, 8, 6, 10, 2, 4, 6,
2, 6, 4, 2, 6, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 6,
6, 6, 8, 4, 2, 6, 18, 4, 2, 4, 2, 4, 18, 6, 2, 4,
8, 12, 4, 2, 10, 2, 6, 10, 12, 2, 10, 2, 4, 2, 4, 6,
2, 6, 6, 4, 6, 6, 2, 12, 6, 10, 8, 4, 2, 4, 2, 4,
8, 6, 4, 8, 4, 6, 8, 6, 4, 2, 4, 6, 8, 4, 2, 6,
10, 2, 10, 6, 2, 4, 6, 2, 10, 6, 6, 8, 6, 4, 2, 6,
4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2, 10, 2, 6, 6,
4, 6, 8, 6, 6, 4, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10,
2, 10, 6, 2, 6, 6, 6, 4, 14, 4, 2, 4, 2, 12, 6, 4,
6, 6, 6, 2, 12, 6, 12, 6, 4, 6, 2, 10, 2, 10, 6, 2,
4, 6, 8, 4, 2, 4, 6, 6, 8, 4, 2, 10, 6, 8, 6, 4,
2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6, 6,
4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 8, 10,
2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 10, 8, 4, 6, 2, 6,
10, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 12, 4, 6, 6, 8,
4, 2, 4, 12, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 6, 14,
4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2,
12, 10, 6, 2, 4, 8, 6, 4, 12, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 10, 8, 6, 10, 2, 4, 8, 6, 6, 4, 2, 4,
6, 2, 6, 4, 2, 6, 10, 12, 2, 4, 2, 4, 6, 8, 6, 4,
12, 2, 6, 4, 2, 10, 6, 12, 2, 4, 6, 8, 6, 10, 2, 10,
2, 16, 2, 4, 6, 2, 6, 4, 2, 4, 2, 22, 2, 4, 6, 6,
2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 8,
4, 8, 6, 4, 8, 4, 6, 8, 6, 4, 2, 10, 8, 4, 2, 4,
2, 10, 2, 10, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2, 6,
4, 8, 4, 6, 14, 4, 2, 4, 8, 16, 6, 6, 2, 6, 6, 4,
2, 4, 8, 6, 4, 2, 4, 12, 2, 10, 2, 6, 10, 2, 6, 4,
2, 10, 6, 8, 4, 8, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6,
2, 4, 14, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10,
2, 10, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6,
12, 2, 4, 2, 4, 8, 6, 4, 8, 4, 8, 6, 6, 4, 2, 4,
6, 12, 2, 4, 2, 10, 2, 12, 6, 4, 6, 2, 10, 6, 6, 8,
6, 4, 2, 10, 6, 8, 4, 6, 2, 18, 4, 6, 2, 4, 6, 2,
6, 6, 4, 12, 8, 6, 4, 12, 2, 10, 2, 4, 2, 4, 6, 2,
6, 6, 10, 6, 2, 10, 8, 4, 6, 8, 4, 2, 6, 12, 6, 4,
6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 6, 12, 10,
6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 10, 6,
8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 6, 6, 10, 6,
2, 6, 4, 2, 4, 2, 10, 14, 4, 2, 10, 2, 10, 2, 4, 6,
6, 12, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 18, 2, 12, 4, 2, 4,
6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 4, 14, 4, 2,
4, 2, 18, 4, 6, 12, 2, 12, 4, 2, 4, 6, 2, 12, 4, 2,
12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6, 8, 6, 4, 2,
6, 10, 8, 4, 2, 4, 6, 8, 6, 12, 4, 6, 8, 10, 2, 4,
6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4,
6, 12, 2, 6, 4, 2, 6, 10, 12, 2, 4, 6, 8, 6, 4, 6,
2, 4, 6, 2, 6, 10, 2, 4, 8, 10, 2, 4, 2, 10, 2, 10,
2, 4, 6, 8, 12, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4,
2, 6, 4, 8, 6, 4, 6, 6, 6, 8, 6, 4, 2, 10, 2, 6,
4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 14, 4, 2, 4, 12, 2,
6, 4, 12, 6, 8, 4, 2, 4, 2, 4, 8, 6, 10, 6, 6, 2,
12, 6, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10, 2, 6, 4, 6,
2, 6, 4, 2, 4, 6, 14, 4, 2, 6, 10, 8, 4, 6, 2, 4,
8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 6, 2,
10, 2, 10, 2, 4, 12, 2, 6, 4, 2, 4, 12, 2, 6, 6, 6,
4, 6, 8, 6, 4, 2, 4, 18, 8, 4, 6, 2, 6, 6, 4, 2,
4, 14, 4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 2, 10, 2,
10, 8, 6, 4, 8, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6,
2, 4, 14, 6, 4, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2,
4, 6, 6, 2, 6, 6, 10, 6, 2, 6, 6, 6, 4, 6, 12, 2,
4, 14, 6, 4, 6, 2, 12, 12, 4, 2, 4, 8, 6, 4, 2, 4,
2, 10, 12, 8, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2,
10, 6, 8, 10, 2, 4, 14, 4, 8, 4, 6, 2, 6, 6, 6, 10,
2, 6, 4, 2, 4, 12, 12, 2, 4, 2, 12, 6, 6, 4, 6, 6,
2, 10, 2, 6, 4, 18, 2, 4, 2, 4, 8, 6, 10, 2, 4, 6,
2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 16, 2, 16, 2, 10,
2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2,
10, 6, 2, 12, 12, 6, 4, 6, 2, 10, 6, 6, 6, 2, 6, 4,
2, 6, 4, 14, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6,
6, 6, 4, 6, 2, 10, 8, 10, 2, 12, 4, 2, 4, 6, 8, 4,
2, 4, 12, 8, 4, 2, 10, 6, 12, 2, 4, 2, 12, 6, 4, 6,
6, 6, 2, 6, 10, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10, 2,
4, 6, 6, 2, 6, 6, 4, 6, 8, 6, 4, 8, 4, 6, 8, 4,
2, 6, 4, 8, 6, 4, 8, 4, 6, 8, 10, 2, 10, 2, 6, 4,
2, 4, 2, 12, 10, 2, 4, 2, 4, 14, 4, 2, 4, 6, 6, 2,
10, 8, 10, 8, 6, 4, 6, 8, 6, 4, 6, 6, 6, 2, 6, 6,
4, 6, 6, 2, 10, 2, 4, 2, 10, 2, 10, 2, 6, 4, 8, 6,
4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 6, 4, 8,
10, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 8, 10, 12,
2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 6, 6, 10, 14,
4, 2, 4, 2, 4, 8, 6, 12, 4, 6, 2, 12, 4, 2, 4, 6,
8, 6, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 10, 2, 4, 6,
8, 6, 4, 2, 6, 10, 8, 4, 6, 2, 4, 8, 6, 4, 6, 2,
4, 6, 8, 6, 4, 6, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4,
2, 10, 2, 6, 4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6,
4, 2, 12, 10, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4,
2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 2, 10, 2, 10, 6, 2,
6, 16, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 6, 6, 8, 6,
6, 10, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 12, 8, 4, 2,
4, 6, 6, 2, 12, 6, 4, 18, 2, 4, 2, 4, 8, 6, 4, 6,
2, 4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 12, 2, 12,
6, 4, 6, 2, 6, 4, 6, 6, 8, 6, 4, 2, 6, 4, 6, 8,
4, 2, 4, 2, 4, 18, 6, 2, 10, 2, 6, 6, 4, 2, 10, 2,
10, 2, 4, 14, 10, 2, 4, 6, 6, 2, 6, 10, 12, 2, 10, 2,
6, 4, 6, 8, 4, 2, 4, 6, 14, 10, 2, 4, 6, 2, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6,
8, 4, 2, 16, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 4,
8, 6, 4, 6, 2, 12, 6, 10, 6, 6, 2, 6, 4, 2, 4, 2,
10, 2, 12, 4, 6, 6, 2, 12, 4, 6, 6, 2, 6, 4, 2, 6,
4, 14, 4, 2, 10, 8, 6, 4, 6, 2, 10, 8, 6, 6, 10, 2,
6, 4, 6, 2, 10, 12, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6,
6, 8, 4, 8, 4, 6, 8, 4, 6, 2, 12, 6, 4, 12, 6, 2,
6, 6, 4, 2, 4, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 6,
4, 8, 6, 4, 2, 4, 6, 14, 4, 2, 6, 10, 12, 2, 4, 2,
4, 8, 18, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 6, 12, 2,
10, 2, 4, 2, 10, 8, 4, 2, 4, 6, 6, 2, 6, 6, 6, 10,
8, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2,
4, 6, 12, 6, 2, 10, 2, 10, 2, 6, 4, 8, 10, 2, 4, 6,
8, 6, 4, 2, 6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 6, 4, 6, 6, 2, 12, 4, 2, 10, 14, 4, 2,
4, 6, 2, 6, 4, 2, 16, 2, 6, 4, 2, 10, 6, 8, 4, 2,
4, 2, 12, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4, 14, 4, 2,
4, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2,
6, 4, 12, 6, 8, 12, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6,
6, 6, 4, 6, 8, 4, 2, 4, 2, 22, 2, 4, 2, 10, 2, 6,
4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 6, 4, 2, 4, 8,
10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 8, 6, 4, 2, 4, 12,
2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 8, 4, 8, 4,
6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 8, 10, 2, 4,
6, 2, 10, 2, 6, 12, 10, 2, 4, 6, 6, 2, 6, 4, 6, 6,
6, 2, 6, 6, 6, 4, 18, 2, 4, 6, 8, 6, 10, 2, 4, 8,
12, 4, 2, 4, 6, 2, 6, 6, 6, 10, 2, 10, 2, 6, 4, 6,
8, 4, 6, 12, 2, 6, 4, 2, 6, 10, 12, 2, 4, 2, 4, 14,
4, 6, 2, 4, 6, 8, 10, 2, 10, 2, 6, 4, 2, 4, 12, 2,
10, 2, 4, 6, 6, 2, 6, 10, 6, 6, 2, 10, 2, 6, 4, 6,
8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2,
12, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 8, 10, 2, 4, 6,
6, 2, 6, 12, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6,
12, 2, 6, 6, 4, 12, 2, 6, 4, 2, 4, 2, 10, 2, 12, 6,
4, 6, 12, 2, 4, 6, 6, 8, 4, 2, 6, 18, 4, 2, 4, 2,
4, 8, 10, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 6,
2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 14,
6, 6, 4, 6, 8, 4, 2, 4, 2, 12, 10, 12, 6, 2, 6, 6,
4, 2, 4, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2,
10, 2, 4, 14, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 14,
4, 8, 4, 6, 2, 6, 10, 6, 6, 2, 6, 6, 4, 2, 10, 2,
10, 6, 2, 4, 6, 8, 4, 2, 10, 6, 2, 6, 4, 2, 6, 10,
8, 4, 2, 4, 14, 6, 4, 6, 2, 4, 8, 12, 4, 2, 4, 8,
10, 2, 4, 2, 10, 2, 10, 6, 2, 4, 8, 6, 6, 4, 6, 6,
2, 6, 4, 2, 10, 6, 8, 6, 10, 8, 6, 4, 6, 2, 10, 2,
6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2,
10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 10, 14, 4, 6, 2, 4,
8, 6, 12, 4, 6, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4,
14, 12, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2,
6, 4, 6, 12, 6, 2, 4, 14, 10, 2, 10, 2, 6, 6, 4, 2,
4, 6, 12, 2, 4, 14, 10, 2, 4, 2, 10, 2, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 4, 6, 8, 16, 2, 4,
6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 8, 10, 2, 10, 2, 6,
4, 6, 8, 4, 2, 16, 2, 6, 4, 8, 4, 6, 12, 2, 4, 2,
4, 8, 6, 4, 6, 2, 4, 6, 8, 10, 2, 4, 6, 2, 10, 2,
4, 2, 10, 2, 12, 4, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6,
6, 10, 6, 12, 2, 6, 12, 6, 4, 6, 2, 4, 14, 6, 4, 2,
10, 8, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 8, 6, 4, 6,
6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6,
6, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 4, 14, 10, 2,
6, 4, 6, 2, 6, 6, 4, 6, 6, 12, 2, 6, 10, 8, 6, 4,
2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 6, 4,
8, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8,
6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 10, 2,
6, 10, 6, 6, 8, 4, 2, 6, 10, 2, 12, 4, 2, 4, 6, 2,
10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 14, 4, 6, 2, 4, 8,
6, 4, 6, 2, 4, 6, 2, 12, 10, 6, 2, 6, 10, 2, 10, 2,
10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6,
10, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 14, 4, 2, 4,
8, 6, 6, 4, 2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 6,
6, 8, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4, 8,
4, 6, 2, 6, 12, 4, 8, 6, 4, 2, 4, 2, 10, 12, 2, 4,
2, 10, 12, 2, 4, 6, 6, 2, 12, 6, 18, 4, 2, 4, 6, 8,
6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 12,
2, 12, 4, 2, 4, 14, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6,
4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2, 10, 2, 6, 6, 6,
4, 6, 2, 10, 2, 4, 2, 22, 2, 4, 2, 4, 6, 2, 6, 4,
6, 14, 6, 4, 2, 10, 6, 8, 4, 2, 4, 6, 8, 16, 2, 4,
6, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 6, 12, 10, 2, 4,
6, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 6, 12, 6,
2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4,
2, 4, 2, 10, 2, 10, 6, 12, 2, 6, 6, 10, 6, 2, 6, 4,
2, 6, 4, 6, 8, 6, 6, 4, 8, 10, 6, 2, 4, 14, 6, 4,
2, 12, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6,
6, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 6, 8, 6,
4, 6, 12, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10,
12, 2, 10, 6, 2, 6, 4, 2, 4, 6, 6, 8, 6, 6, 10, 12,
6, 2, 4, 8, 10, 8, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6,
4, 6, 2, 10, 2, 10, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2,
6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 14, 12, 4, 6, 2, 6,
6, 4, 2, 10, 8, 4, 2, 4, 12, 2, 10, 2, 4, 2, 10, 2,
12, 4, 6, 8, 10, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 6, 12, 10, 2,
10, 8, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2, 10, 2, 12, 4, 6,
8, 10, 2, 4, 2, 10, 2, 16, 2, 4, 6, 2, 10, 2, 4, 6,
6, 2, 6, 4, 2, 10, 14, 6, 4, 2, 12, 6, 4, 6, 2, 4,
6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 10, 12, 2, 4, 2,
10, 2, 6, 4, 2, 4, 6, 6, 12, 8, 4, 14, 4, 2, 6, 12,
6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 6, 4,
14, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 10, 2, 6,
4, 6, 8, 6, 4, 2, 4, 14, 4, 8, 10, 2, 6, 10, 6, 6,
2, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 8, 4, 6, 6,
6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4,
6, 2, 6, 10, 2, 4, 6, 2, 10, 2, 6, 10, 2, 10, 2, 4,
2, 4, 14, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4, 18, 2, 6,
4, 8, 6, 4, 6, 2, 4, 6, 2, 16, 2, 4, 6, 2, 6, 6,
4, 2, 10, 12, 2, 4, 6, 6, 2, 6, 6, 4, 12, 2, 6, 4,
2, 16, 8, 4, 2, 6, 4, 8, 6, 10, 2, 4, 6, 14, 4, 2,
10, 2, 6, 4, 2, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4,
6, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 6, 2, 4, 8, 6,
4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 14, 4, 2, 4, 2, 10,
2, 10, 2, 6, 10, 2, 10, 2, 4, 6, 6, 8, 6, 6, 10, 8,
6, 4, 2, 4, 8, 10, 6, 6, 8, 6, 6, 4, 2, 12, 6, 4,
6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 10, 6, 2,
6, 12, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6,
8, 6, 6, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6,
6, 2, 10, 2, 4, 6, 8, 6, 6, 6, 4, 6, 12, 6, 2, 4,
8, 10, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 6, 6, 4, 2,
10, 2, 10, 2, 10, 6, 2, 6, 4, 18, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 4, 2, 18, 4, 6, 2, 4, 6, 2, 12, 4, 2,
12, 6, 4, 2, 4, 12, 2, 10, 6, 2, 4, 6, 2, 6, 6, 10,
6, 2, 10, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 2,
4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 2, 6, 10, 12, 6, 2,
10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4,
6, 8, 6, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 4,
2, 4, 12, 14, 4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6,
4, 2, 6, 4, 14, 4, 6, 2, 4, 14, 4, 8, 10, 2, 6, 6,
6, 4, 6, 2, 10, 6, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4,
6, 6, 6, 8, 4, 2, 6, 4, 6, 12, 2, 4, 14, 6, 10, 6,
6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 6, 16, 2, 10, 2, 4,
2, 10, 8, 4, 2, 4, 14, 6, 4, 2, 6, 4, 6, 12, 2, 4,
2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6,
4, 6, 2, 10, 2, 10, 2, 10, 6, 8, 6, 4, 6, 6, 2, 6,
4, 2, 6, 10, 8, 4, 2, 10, 8, 6, 4, 6, 2, 4, 6, 8,
6, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2, 12, 4, 2, 4, 8,
6, 4, 2, 4, 6, 6, 2, 6, 4, 12, 6, 8, 4, 2, 6, 12,
6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4,
2, 10, 12, 2, 6, 4, 6, 2, 6, 4, 2, 4, 12, 8, 4, 18,
8, 4, 2, 6, 4, 8, 16, 2, 4, 8, 12, 4, 2, 4, 6, 2,
6, 4, 6, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4,
6, 6, 2, 12, 6, 4, 6, 8, 10, 2, 4, 8, 6, 4, 8, 4,
6, 2, 6, 6, 4, 6, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2,
4, 2, 10, 2, 10, 2, 4, 6, 14, 4, 2, 6, 4, 6, 8, 10,
2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 10, 6, 8, 6, 6, 6,
10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6,
4, 8, 4, 14, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 6, 14,
4, 2, 4, 8, 6, 6, 4, 2, 10, 2, 10, 6, 6, 6, 2, 6,
4, 2, 4, 6, 6, 2, 6, 6, 16, 14, 4, 2, 4, 8, 6, 4,
6, 2, 4, 14, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12,
2, 6, 10, 2, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4, 14, 4,
2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 12,
6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 2, 12, 4, 6, 6,
2, 12, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 12, 2,
6, 6, 4, 2, 10, 2, 10, 2, 6, 12, 10, 6, 2, 4, 6, 8,
4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6,
8, 6, 10, 2, 10, 2, 6, 6, 10, 6, 2, 6, 4, 2, 6, 10,
2, 12, 4, 2, 4, 6, 12, 2, 4, 14, 6, 4, 2, 6, 4, 18,
2, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 12, 4, 6, 2,
6, 4, 6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 12,
8, 4, 2, 6, 4, 6, 8, 4, 2, 6, 18, 4, 6, 6, 6, 8,
6, 4, 2, 10, 2, 6, 6, 4, 2, 10, 2, 10, 6, 2, 4, 8,
6, 4, 2, 10, 8, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4,
8, 6, 4, 12, 8, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2,
10, 2, 10, 2, 6, 4, 6, 8, 6, 4, 6, 6, 8, 4, 2, 6,
10, 8, 4, 2, 4, 6, 8, 10, 6, 2, 12, 6, 6, 4, 2, 4,
6, 2, 10, 6, 2, 10, 12, 2, 4, 2, 4, 8, 6, 4, 2, 4,
6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 8,
4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 12,
2, 4, 2, 4, 8, 10, 2, 4, 14, 6, 4, 2, 10, 6, 12, 6,
2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 4, 6, 6, 2, 6, 6,
4, 14, 10, 2, 4, 2, 10, 2, 6, 4, 2, 10, 6, 2, 6, 4,
2, 6, 4, 6, 8, 4, 6, 2, 12, 6, 4, 6, 2, 4, 6, 2,
12, 4, 2, 4, 14, 4, 6, 2, 10, 2, 10, 8, 10, 2, 6, 4,
2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8,
10, 6, 2, 4, 6, 2, 6, 6, 6, 4, 8, 10, 2, 4, 2, 10,
14, 4, 2, 10, 2, 6, 4, 2, 10, 6, 2, 10, 12, 14, 4, 2,
4, 2, 12, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 4, 6, 8,
4, 2, 4, 12, 2, 12, 4, 6, 6, 2, 6, 4, 2, 4, 6, 6,
2, 6, 12, 4, 6, 12, 2, 6, 4, 14, 4, 6, 2, 12, 6, 6,
4, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 6, 4, 6, 2,
6, 4, 6, 6, 6, 2, 10, 2, 6, 4, 6, 8, 6, 4, 6, 14,
10, 2, 4, 6, 2, 6, 6, 4, 12, 2, 6, 4, 2, 16, 2, 10,
2, 4, 2, 4, 6, 8, 6, 4, 12, 12, 2, 6, 4, 6, 12, 2,
4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6,
2, 6, 4, 2, 6, 10, 2, 10, 6, 6, 6, 2, 6, 6, 4, 6,
6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6,
2, 10, 14, 4, 12, 2, 6, 6, 4, 2, 10, 2, 12, 4, 2, 4,
8, 10, 2, 4, 6, 6, 2, 6, 4, 8, 18, 4, 2, 4, 2, 4,
8, 6, 4, 6, 6, 6, 8, 6, 6, 4, 6, 2, 6, 4, 6, 2,
10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 2,
6, 10, 8, 4, 2, 4, 2, 12, 10, 6, 6, 8, 6, 6, 4, 2,
4, 8, 6, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2,
4, 6, 8, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6,
4, 12, 6, 2, 6, 10, 2, 10, 8, 4, 2, 4, 2, 10, 2, 10,
2, 4, 2, 4, 6, 12, 2, 4, 6, 8, 6, 4, 2, 6, 10, 8,
4, 6, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 10, 6, 2,
12, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 10, 8,
6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 12, 10, 6, 2, 4, 6,
2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 12, 6, 6, 6,
2, 6, 4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2,
4, 14, 10, 2, 4, 6, 2, 12, 6, 4, 6, 2, 6, 4, 2, 4,
2, 22, 6, 2, 10, 2, 6, 4, 2, 10, 6, 2, 10, 2, 6, 4,
14, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 4, 2,
4, 6, 8, 4, 2, 4, 12, 2, 12, 4, 2, 10, 2, 6, 6, 4,
6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 4, 6, 18, 6, 2,
10, 2, 6, 6, 4, 2, 4, 8, 10, 2, 4, 2, 22, 2, 4, 2,
4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 8, 4, 6, 8, 4, 6,
6, 8, 6, 12, 4, 6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2,
6, 10, 2, 10, 2, 4, 6, 14, 4, 2, 4, 12, 2, 6, 6, 6,
4, 6, 12, 2, 4, 2, 4, 8, 6, 10, 2, 4, 8, 6, 10, 2,
4, 6, 2, 6, 4, 2, 4, 12, 2, 10, 2, 16, 2, 6, 10, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6,
2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 6, 12, 2, 10, 2,
6, 4, 8, 6, 6, 4, 6, 6, 2, 10, 8, 4, 6, 8, 4, 2,
4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6,
2, 10, 2, 6, 10, 2, 18, 4, 6, 2, 6, 4, 2, 4, 6, 6,
8, 4, 2, 16, 8, 4, 2, 4, 2, 12, 10, 6, 2, 12, 6, 6,
4, 6, 6, 8, 4, 6, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10,
2, 4, 6, 6, 2, 6, 12, 4, 14, 4, 2, 6, 4, 8, 6, 4,
8, 4, 6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 12, 10, 2,
4, 2, 4, 6, 2, 10, 2, 4, 6, 18, 2, 6, 4, 6, 8, 10,
2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6,
4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 14,
4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 8, 4, 6,
2, 16, 2, 4, 8, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6,
8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 24, 6, 4, 6, 8, 6,
4, 6, 2, 4, 6, 2, 12, 6, 4, 6, 2, 12, 4, 2, 10, 12,
2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 18, 4,
2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 2, 4, 6,
2, 6, 4, 2, 4, 12, 14, 4, 2, 4, 6, 2, 6, 4, 6, 12,
2, 6, 4, 2, 10, 6, 8, 4, 2, 4, 2, 4, 14, 10, 2, 10,
2, 12, 4, 2, 4, 8, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4,
6, 2, 10, 6, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 6,
8, 6, 10, 6, 6, 2, 6, 6, 4, 2, 10, 8, 4, 2, 6, 10,
2, 10, 2, 4, 2, 10, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6,
4, 6, 14, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 12, 4,
8, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6,
10, 8, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8, 10, 6, 2,
4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10,
2, 4, 6, 8, 6, 4, 2, 4, 12, 2, 6, 12, 4, 6, 12, 2,
4, 2, 4, 14, 4, 6, 6, 8, 6, 6, 4, 2, 4, 6, 2, 6,
4, 2, 4, 2, 10, 2, 10, 8, 4, 6, 2, 6, 4, 12, 6, 8,
4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 18, 6, 2, 4, 8, 6,
6, 4, 2, 10, 2, 6, 4, 6, 12, 2, 10, 2, 4, 2, 4, 6,
2, 6, 6, 4, 6, 6, 2, 12, 6, 4, 6, 8, 4, 2, 4, 6,
8, 6, 4, 8, 10, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 6,
10, 12, 6, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6,
4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 10, 2, 6, 6, 4,
6, 6, 2, 6, 6, 4, 2, 10, 2, 12, 4, 2, 4, 8, 10, 2,
10, 6, 2, 6, 4, 2, 6, 4, 18, 2, 4, 2, 12, 6, 10, 2,
4, 6, 2, 12, 6, 4, 8, 6, 4, 6, 12, 2, 10, 6, 2, 10,
2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 10, 6, 8, 6, 4, 2,
12, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6, 10, 2,
10, 12, 2, 6, 10, 2, 6, 4, 2, 4, 6, 8, 10, 2, 6, 4,
14, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 2,
4, 6, 2, 10, 2, 4, 12, 2, 12, 4, 2, 4, 6, 8, 4, 2,
4, 6, 6, 2, 6, 4, 2, 16, 8, 4, 2, 4, 20, 4, 6, 2,
10, 2, 6, 6, 4, 2, 4, 6, 12, 2, 4, 2, 12, 10, 2, 4,
2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4,
2, 10, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2,
6, 4, 2, 6, 22, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2,
10, 2, 10, 6, 14, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 16,
6, 6, 2, 6, 4, 2, 4, 2, 12, 10, 2, 4, 6, 6, 2, 6,
6, 4, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 8, 4, 8, 6,
4, 6, 2, 4, 6, 8, 10, 2, 10, 8, 4, 2, 6, 10, 2, 10,
2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2, 6, 4, 8, 4, 14,
6, 4, 2, 4, 8, 10, 6, 6, 6, 2, 12, 4, 2, 4, 8, 6,
6, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 10, 6,
8, 4, 8, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 14,
6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 6,
6, 2, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4,
2, 4, 8, 6, 4, 8, 4, 8, 6, 6, 4, 2, 4, 14, 4, 2,
4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 10, 6, 6, 8, 6, 6,
6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 6, 6, 2, 6, 6,
4, 12, 2, 6, 6, 4, 12, 2, 10, 2, 4, 2, 4, 6, 8, 6,
10, 6, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4,
6, 2, 4, 6, 2, 12, 6, 4, 8, 6, 4, 2, 6, 10, 2, 10,
6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 6,
8, 6, 4, 2, 4, 8, 10, 6, 2, 10, 2, 6, 6, 10, 6, 2,
6, 4, 2, 4, 2, 10, 14, 4, 12, 2, 10, 2, 4, 12, 2, 10,
2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2,
6, 6, 6, 4, 6, 2, 6, 4, 6, 12, 2, 16, 2, 4, 6, 2,
6, 4, 2, 10, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2,
18, 4, 6, 14, 6, 6, 4, 2, 4, 6, 2, 12, 4, 2, 12, 10,
2, 4, 2, 4, 6, 2, 6, 10, 6, 8, 6, 4, 2, 6, 4, 6,
8, 4, 2, 4, 6, 8, 6, 12, 10, 2, 6, 10, 2, 4, 6, 2,
6, 4, 2, 6, 10, 12, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12,
2, 6, 4, 2, 6, 10, 12, 6, 6, 8, 6, 4, 8, 4, 6, 2,
6, 10, 2, 4, 6, 2, 10, 2, 4, 2, 10, 2, 10, 2, 4, 6,
8, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 12, 2, 6,
4, 8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2,
4, 12, 12, 2, 4, 2, 12, 6, 4, 2, 4, 12, 2, 6, 4, 12,
6, 8, 4, 2, 4, 2, 4, 8, 6, 10, 6, 6, 2, 12, 4, 2,
4, 6, 2, 6, 4, 6, 2, 12, 10, 2, 6, 4, 6, 2, 6, 4,
2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 6, 2, 4, 8, 10,
6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 12, 6, 2, 10, 2, 12,
4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 10, 6, 8,
6, 4, 2, 12, 10, 8, 4, 6, 2, 6, 6, 4, 2, 4, 14, 4,
2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 10, 8,
6, 4, 8, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6,
8, 6, 4, 6, 6, 2, 6, 6, 4, 2, 12, 10, 2, 4, 6, 6,
2, 6, 4, 2, 10, 6, 2, 12, 6, 4, 6, 14, 4, 2, 12, 6,
4, 6, 2, 4, 8, 12, 4, 6, 8, 6, 4, 2, 4, 2, 10, 2,
10, 8, 4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 2, 10, 6, 8,
6, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 12, 10, 2, 6,
4, 2, 16, 12, 2, 4, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10,
2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6,
2, 12, 4, 2, 4, 6, 2, 6, 6, 16, 2, 16, 2, 4, 6, 2,
6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4,
2, 4, 14, 4, 6, 2, 10, 8, 6, 4, 6, 6, 2, 10, 2, 4,
2, 12, 12, 4, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2,
6, 4, 14, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6,
6, 4, 8, 6, 4, 8, 10, 2, 10, 2, 4, 2, 4, 6, 12, 2,
4, 12, 8, 6, 6, 4, 6, 12, 2, 4, 2, 12, 6, 4, 6, 6,
6, 2, 6, 10, 2, 10, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4,
6, 6, 8, 6, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2,
6, 4, 8, 6, 4, 8, 4, 6, 8, 12, 10, 2, 6, 4, 2, 4,
2, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 4, 6, 8, 6, 4,
8, 10, 8, 4, 2, 4, 6, 8, 10, 6, 6, 6, 2, 6, 6, 4,
2, 4, 6, 2, 10, 2, 4, 2, 10, 2, 10, 2, 10, 8, 6, 4,
2, 4, 12, 8, 4, 2, 6, 10, 8, 4, 2, 6, 4, 18, 6, 2,
4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2, 10, 12, 6,
2, 4, 6, 2, 6, 4, 2, 16, 2, 6, 6, 10, 6, 8, 4, 2,
4, 2, 4, 8, 6, 12, 4, 8, 12, 4, 2, 4, 6, 8, 4, 2,
4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 12, 4, 6, 8, 6, 4,
2, 6, 4, 6, 8, 4, 6, 6, 8, 6, 4, 6, 2, 10, 2, 6,
6, 4, 6, 6, 8, 6, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6,
4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 10, 2, 12, 10,
8, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2,
10, 6, 2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4, 12, 6, 14,
4, 2, 4, 8, 6, 10, 2, 4, 6, 8, 6, 6, 4, 6, 2, 6,
4, 2, 4, 12, 12, 2, 4, 12, 2, 6, 4, 2, 4, 6, 6, 2,
12, 6, 4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6,
6, 4, 2, 4, 6, 2, 6, 4, 6, 12, 2, 12, 6, 4, 6, 2,
6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4,
2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 10, 2, 10, 2,
4, 14, 12, 4, 2, 4, 6, 2, 6, 10, 6, 6, 2, 10, 2, 10,
6, 8, 4, 2, 4, 14, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2,
4, 6, 8, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6, 8, 4, 2,
4, 12, 2, 6, 4, 8, 4, 6, 12, 2, 6, 4, 8, 6, 4, 6,
2, 10, 2, 6, 10, 6, 6, 2, 6, 4, 2, 4, 2, 12, 12, 4,
6, 6, 2, 12, 4, 6, 6, 2, 10, 2, 6, 4, 14, 6, 6, 4,
8, 6, 4, 6, 2, 4, 6, 8, 6, 16, 2, 6, 4, 6, 2, 10,
2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 8,
4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 10,
2, 4, 6, 2, 6, 6, 6, 10, 2, 10, 2, 6, 4, 6, 2, 6,
4, 2, 4, 6, 14, 4, 2, 6, 18, 4, 2, 4, 2, 4, 8, 10,
8, 4, 8, 16, 2, 4, 6, 2, 6, 10, 2, 10, 2, 10, 2, 4,
2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 6, 6, 10, 8, 4,
2, 4, 6, 8, 6, 4, 8, 4, 6, 8, 6, 4, 2, 4, 6, 12,
2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 10, 6, 6, 8, 6,
4, 2, 6, 4, 6, 8, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6,
2, 6, 6, 4, 6, 8, 6, 6, 4, 2, 10, 12, 2, 4, 2, 4,
6, 2, 10, 2, 16, 2, 6, 6, 10, 6, 8, 4, 2, 4, 2, 12,
6, 10, 6, 6, 2, 12, 4, 2, 12, 6, 4, 2, 4, 2, 12, 10,
6, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6,
8, 10, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 8, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2,
4, 6, 8, 10, 2, 6, 4, 14, 6, 4, 2, 4, 8, 10, 6, 2,
4, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 4, 12, 2, 12,
4, 6, 6, 2, 6, 4, 2, 16, 2, 6, 4, 8, 4, 6, 8, 4,
2, 4, 2, 4, 14, 4, 6, 2, 10, 8, 6, 4, 2, 4, 6, 2,
10, 2, 4, 2, 12, 10, 6, 6, 6, 2, 6, 4, 12, 6, 2, 6,
6, 6, 4, 6, 12, 2, 4, 6, 8, 6, 10, 2, 4, 8, 6, 6,
4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 6, 4, 6,
8, 10, 12, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 6, 14, 4,
6, 2, 10, 2, 6, 10, 2, 10, 2, 6, 4, 2, 4, 12, 12, 2,
4, 6, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 6, 8,
4, 8, 4, 8, 6, 4, 8, 4, 6, 8, 6, 4, 2, 10, 2, 6,
4, 2, 6, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 4, 6, 6,
2, 6, 4, 8, 4, 6, 12, 2, 4, 2, 4, 8, 6, 10, 12, 2,
6, 6, 4, 6, 6, 2, 6, 4, 2, 4, 12, 2, 12, 6, 10, 2,
10, 2, 4, 6, 6, 8, 4, 2, 6, 18, 4, 2, 4, 2, 4, 8,
10, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10,
2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 6, 6,
4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 12, 6, 2, 6, 6, 4,
2, 4, 6, 14, 4, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2,
4, 6, 8, 6, 4, 2, 10, 6, 8, 4, 6, 2, 12, 6, 4, 8,
4, 6, 2, 6, 10, 6, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4,
2, 4, 6, 8, 4, 2, 10, 6, 2, 6, 4, 8, 10, 8, 4, 2,
18, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8, 10, 2, 4,
2, 12, 10, 6, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 10, 2,
10, 6, 8, 6, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6,
10, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6,
4, 2, 4, 12, 12, 2, 10, 14, 4, 2, 4, 2, 4, 8, 6, 10,
2, 4, 6, 2, 16, 2, 4, 6, 2, 6, 4, 2, 18, 12, 4, 2,
4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 14,
4, 6, 2, 4, 14, 4, 6, 2, 10, 2, 12, 4, 2, 4, 6, 14,
4, 2, 12, 10, 2, 4, 2, 10, 2, 6, 4, 6, 6, 6, 2, 6,
4, 2, 6, 10, 8, 6, 4, 6, 8, 16, 2, 4, 6, 8, 6, 4,
2, 4, 8, 6, 4, 2, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8,
4, 18, 2, 6, 4, 8, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4,
6, 2, 4, 6, 8, 10, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2,
10, 2, 4, 6, 6, 2, 12, 4, 6, 6, 2, 6, 6, 6, 4, 6,
12, 2, 6, 4, 8, 6, 4, 6, 6, 14, 6, 4, 2, 10, 2, 6,
4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 14, 4, 6, 6, 6, 2,
6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 6, 6,
2, 6, 6, 6, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 6, 4,
6, 2, 6, 6, 4, 6, 18, 2, 6, 10, 8, 4, 2, 4, 2, 4,
8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 8,
10, 2, 10, 6, 6, 6, 2, 6, 4, 2, 4, 12, 2, 6, 6, 6,
4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 8, 10, 2, 6, 6, 4,
6, 6, 8, 4, 2, 4, 2, 10, 2, 16, 2, 4, 6, 2, 10, 2,
10, 8, 6, 4, 2, 6, 4, 14, 4, 6, 2, 4, 8, 6, 4, 6,
2, 4, 8, 6, 6, 10, 6, 2, 6, 10, 2, 10, 2, 10, 2, 4,
2, 4, 6, 2, 6, 6, 10, 6, 8, 4, 2, 6, 4, 6, 8, 4,
2, 4, 14, 6, 4, 6, 12, 2, 12, 4, 2, 4, 8, 6, 6, 4,
2, 10, 12, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 4,
2, 10, 6, 8, 10, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 12,
4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 18, 4, 2,
4, 6, 6, 2, 10, 2, 6, 22, 2, 4, 6, 8, 6, 10, 2, 4,
6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 12, 2, 12, 4,
2, 12, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8,
4, 2, 6, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 6,
2, 10, 6, 2, 22, 2, 6, 4, 6, 2, 6, 4, 6, 12, 2, 6,
4, 2, 10, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2,
12, 4, 2, 4, 6, 2, 10, 2, 6, 12, 12, 4, 2, 4, 6, 8,
4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 12, 6, 2, 12, 6, 4,
6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2, 4, 2, 10,
2, 10, 2, 4, 12, 2, 6, 6, 4, 6, 6, 2, 6, 4, 8, 4,
6, 8, 6, 6, 4, 8, 10, 6, 2, 4, 6, 8, 6, 4, 2, 12,
6, 4, 2, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4, 2, 10,
6, 2, 10, 8, 4, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 6,
6, 8, 6, 4, 6, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2,
10, 6, 2, 6, 4, 2, 4, 6, 6, 8, 6, 6, 10, 12, 2, 4,
2, 4, 8, 10, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4,
8, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6,
6, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 8, 4, 6, 2, 12,
4, 2, 10, 8, 6, 4, 12, 2, 10, 2, 4, 2, 4, 6, 2, 12,
4, 6, 8, 10, 2, 6, 10, 8, 4, 6, 2, 4, 8, 6, 4, 6,
2, 4, 6, 8, 6, 4, 6, 6, 2, 6, 6, 6, 10, 2, 10, 6,
2, 4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 8,
4, 2, 4, 2, 12, 6, 4, 6, 2, 10, 2, 12, 4, 6, 8, 6,
4, 2, 4, 2, 10, 2, 16, 2, 4, 6, 2, 10, 2, 4, 6, 6,
2, 6, 6, 10, 14, 6, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2,
6, 6, 6, 10, 2, 6, 4, 6, 2, 10, 12, 2, 4, 2, 10, 8,
4, 2, 4, 6, 6, 12, 2, 6, 4, 14, 4, 2, 4, 2, 12, 6,
4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6, 6, 4, 12, 2,
12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 4, 2, 6,
4, 6, 8, 4, 2, 4, 2, 4, 18, 8, 10, 2, 6, 10, 2, 4,
6, 2, 10, 2, 4, 2, 12, 10, 2, 4, 6, 6, 8, 4, 6, 12,
2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 6, 14, 10, 2, 4, 6,
2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6, 10, 2, 10, 6, 2,
4, 14, 4, 2, 16, 2, 6, 4, 2, 6, 4, 6, 12, 2, 6, 4,
8, 6, 4, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 2,
4, 2, 10, 12, 2, 4, 6, 6, 2, 6, 6, 4, 12, 2, 6, 4,
2, 10, 6, 8, 4, 2, 10, 8, 6, 10, 2, 10, 14, 4, 2, 10,
2, 6, 4, 2, 4, 2, 22, 2, 4, 2, 4, 8, 6, 4, 2, 4,
6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4,
12, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2,
10, 2, 6, 12, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 14,
4, 2, 4, 8, 16, 2, 4, 8, 6, 6, 4, 2, 4, 8, 6, 4,
6, 12, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 10, 6, 2, 6,
12, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 8,
6, 4, 2, 4, 6, 8, 4, 6, 2, 10, 2, 10, 2, 10, 6, 2,
10, 2, 4, 6, 8, 6, 6, 6, 4, 6, 12, 6, 2, 4, 8, 6,
4, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 12, 4, 2, 10, 2,
12, 6, 4, 6, 2, 6, 4, 12, 6, 2, 6, 4, 2, 10, 6, 8,
4, 2, 4, 2, 18, 4, 6, 2, 4, 6, 2, 12, 4, 2, 18, 4,
2, 4, 12, 2, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2,
10, 12, 6, 8, 6, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6,
6, 6, 4, 6, 2, 6, 4, 2, 6, 22, 6, 2, 10, 2, 6, 4,
2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 6, 4, 2, 4, 8, 6,
4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 4, 12,
2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 8, 4, 2, 6,
4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 12, 4,
6, 2, 10, 8, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6,
6, 8, 4, 2, 6, 4, 14, 4, 2, 4, 14, 6, 10, 6, 6, 2,
12, 4, 2, 4, 6, 2, 6, 6, 6, 10, 2, 10, 2, 4, 2, 4,
6, 8, 4, 2, 4, 14, 6, 4, 2, 6, 10, 12, 2, 4, 2, 4,
8, 6, 4, 8, 4, 6, 8, 10, 2, 4, 6, 2, 6, 4, 2, 4,
2, 10, 2, 10, 2, 4, 6, 6, 8, 10, 6, 6, 2, 6, 4, 2,
6, 10, 8, 4, 2, 10, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4,
2, 12, 10, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 10, 2,
4, 6, 6, 2, 6, 12, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4,
6, 6, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10,
12, 2, 6, 4, 6, 8, 4, 2, 4, 12, 8, 4, 2, 16, 8, 4,
2, 4, 2, 4, 8, 16, 2, 4, 8, 12, 6, 4, 6, 2, 6, 4,
6, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8,
6, 6, 6, 4, 6, 8, 4, 6, 2, 4, 8, 10, 8, 4, 6, 2,
6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4,
12, 2, 10, 2, 4, 14, 6, 4, 2, 6, 4, 6, 8, 10, 2, 4,
18, 6, 2, 4, 6, 2, 6, 6, 4, 6, 8, 6, 6, 4, 2, 10,
2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 8,
4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 20, 4, 2,
4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 6, 6, 2, 6, 6,
4, 6, 6, 2, 6, 6, 10, 6, 14, 4, 6, 8, 6, 4, 6, 2,
12, 6, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 6,
10, 2, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4, 14, 4, 6, 2,
4, 14, 4, 8, 4, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2,
4, 12, 2, 12, 4, 2, 4, 8, 6, 6, 4, 6, 6, 2, 10, 2,
6, 4, 6, 12, 2, 4, 2, 4, 14, 10, 2, 10, 2, 6, 6, 4,
2, 4, 6, 2, 10, 2, 18, 10, 6, 2, 10, 2, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 10,
2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 4, 8, 10, 2, 12, 6,
4, 6, 12, 2, 4, 12, 2, 6, 4, 2, 6, 4, 18, 2, 4, 2,
4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 12, 4, 6, 2, 10, 6,
2, 10, 2, 12, 4, 6, 6, 2, 6, 6, 4, 6, 6, 8, 4, 2,
10, 6, 8, 4, 2, 6, 12, 6, 4, 6, 6, 6, 8, 6, 4, 2,
10, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2,
4, 6, 8, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4,
12, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10,
2, 6, 4, 6, 8, 4, 2, 4, 6, 6, 12, 2, 6, 10, 8, 6,
4, 6, 8, 10, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 10, 6,
2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 8,
6, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 8, 4, 6, 2,
6, 10, 2, 4, 6, 8, 4, 2, 6, 10, 12, 2, 4, 2, 4, 6,
2, 10, 2, 4, 14, 6, 4, 2, 10, 14, 4, 6, 2, 4, 8, 6,
10, 2, 4, 6, 2, 12, 4, 6, 6, 2, 6, 6, 4, 2, 12, 10,
2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6,
10, 8, 4, 6, 2, 12, 6, 4, 6, 2, 4, 6, 14, 4, 2, 4,
14, 4, 2, 4, 2, 10, 2, 10, 6, 2, 10, 2, 6, 4, 6, 6,
6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 10, 6, 2,
4, 6, 2, 6, 6, 6, 4, 8, 6, 4, 2, 4, 2, 10, 12, 2,
4, 2, 10, 2, 10, 2, 10, 6, 2, 18, 4, 14, 4, 2, 4, 2,
4, 8, 6, 4, 6, 6, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2,
4, 12, 2, 12, 4, 6, 6, 8, 4, 2, 4, 6, 6, 2, 6, 6,
6, 4, 6, 12, 2, 4, 2, 4, 14, 4, 6, 2, 12, 6, 6, 6,
4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 6, 4, 6, 2, 6, 4,
6, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 24, 2,
4, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2, 16, 2, 10, 2,
4, 6, 6, 8, 6, 4, 12, 2, 10, 2, 6, 4, 6, 12, 2, 4,
2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6,
4, 2, 6, 10, 2, 10, 6, 6, 6, 2, 6, 6, 10, 6, 2, 6,
4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 18,
6, 4, 12, 2, 6, 4, 2, 4, 2, 10, 2, 12, 4, 2, 4, 8,
12, 4, 6, 6, 2, 6, 4, 8, 4, 14, 4, 2, 4, 6, 8, 6,
4, 6, 12, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10, 12,
2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10,
8, 4, 6, 2, 12, 10, 12, 8, 6, 6, 4, 2, 4, 6, 2, 6,
10, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 8,
6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 12, 4, 6, 2,
6, 10, 2, 4, 6, 8, 4, 2, 4, 12, 2, 10, 2, 4, 2, 10,
12, 2, 4, 6, 8, 6, 4, 2, 6, 10, 8, 4, 6, 6, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 16, 2, 10, 2,
10, 2, 6, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 6, 12, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2,
4, 8, 10, 2, 4, 2, 10, 18, 2, 4, 6, 2, 6, 4, 2, 4,
12, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 12, 6, 10, 2, 4,
6, 2, 12, 6, 4, 6, 8, 4, 2, 4, 2, 22, 2, 4, 2, 10,
2, 6, 4, 2, 4, 6, 6, 2, 10, 8, 4, 14, 4, 8, 4, 8,
6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2,
4, 14, 12, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2,
6, 4, 6, 8, 6, 4, 2, 4, 18, 6, 2, 10, 2, 6, 6, 4,
6, 8, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4,
12, 6, 8, 4, 8, 4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2,
4, 6, 8, 10, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2,
4, 6, 6, 8, 4, 2, 4, 12, 2, 6, 6, 6, 4, 18, 2, 4,
2, 4, 8, 6, 4, 6, 2, 4, 8, 16, 2, 4, 6, 2, 6, 6,
4, 2, 10, 2, 10, 2, 10, 6, 2, 6, 10, 6, 6, 2, 6, 4,
2, 6, 10, 8, 4, 2, 6, 4, 14, 4, 6, 2, 4, 6, 8, 6,
4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 4, 2, 4, 8,
6, 10, 6, 6, 2, 10, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8,
6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 6,
10, 2, 10, 8, 4, 6, 2, 10, 2, 4, 6, 6, 8, 6, 6, 10,
8, 4, 2, 4, 2, 4, 8, 10, 6, 14, 6, 6, 4, 12, 2, 6,
4, 6, 2, 10, 2, 12, 4, 2, 4, 6, 12, 2, 4, 6, 6, 2,
6, 6, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6,
2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 10, 2, 10, 2, 4, 2,
4, 6, 2, 10, 2, 4, 6, 14, 4, 2, 6, 4, 6, 8, 4, 6,
2, 12, 10, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6, 4,
2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 18, 6, 4, 2,
6, 4, 6, 8, 4, 2, 4, 2, 18, 4, 8, 4, 6, 2, 16, 2,
4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 8, 4,
2, 10, 6, 2, 6, 4, 2, 16, 8, 6, 4, 6, 8, 6, 4, 6,
2, 4, 8, 6, 6, 6, 4, 6, 2, 10, 2, 4, 2, 10, 12, 2,
4, 2, 12, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2,
10, 8, 6, 4, 6, 2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 6,
4, 2, 4, 12, 14, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2,
6, 4, 2, 10, 6, 8, 4, 6, 2, 4, 14, 12, 10, 2, 12, 4,
2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6,
4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 12, 6, 6, 8, 6,
10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 16, 2,
10, 2, 4, 2, 10, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4,
6, 14, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 10, 2, 4,
8, 6, 4, 6, 2, 10, 2, 10, 2, 10, 6, 2, 6, 6, 10, 6,
2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2,
4, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2, 12, 4,
6, 8, 6, 4, 2, 4, 6, 6, 2, 6, 16, 6, 12, 2, 4, 2,
12, 6, 4, 6, 6, 8, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4,
2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 8, 4,
8, 10, 8, 4, 2, 6, 4, 18, 6, 2, 4, 8, 6, 6, 4, 2,
10, 2, 6, 4, 6, 14, 10, 2, 4, 2, 4, 6, 2, 6, 6, 4,
6, 6, 2, 12, 6, 4, 6, 8, 6, 4, 2, 4, 8, 6, 4, 8,
4, 6, 2, 6, 6, 4, 6, 6, 8, 4, 2, 6, 10, 2, 10, 6,
2, 4, 6, 2, 10, 2, 4, 6, 14, 4, 2, 6, 4, 6, 8, 4,
6, 2, 4, 8, 6, 4, 6, 2, 10, 2, 6, 10, 6, 6, 2, 6,
6, 6, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 10, 6, 2, 6,
4, 2, 6, 4, 14, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 6,
2, 12, 6, 4, 8, 6, 10, 2, 10, 2, 10, 6, 2, 4, 6, 2,
6, 4, 2, 4, 6, 6, 8, 4, 2, 16, 8, 6, 4, 2, 12, 6,
4, 6, 6, 6, 8, 6, 6, 4, 6, 2, 6, 6, 4, 2, 10, 12,
2, 4, 2, 10, 2, 6, 4, 6, 6, 8, 10, 2, 6, 4, 14, 4,
2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 8,
6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 12, 2, 4, 6, 6,
2, 6, 6, 6, 10, 8, 4, 2, 4, 6, 14, 4, 6, 12, 2, 6,
6, 4, 2, 10, 2, 10, 2, 4, 2, 12, 10, 2, 4, 2, 4, 14,
4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 10, 8,
6, 10, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 2, 6,
10, 12, 2, 4, 2, 4, 6, 8, 4, 2, 4, 14, 6, 4, 2, 10,
6, 12, 2, 4, 2, 4, 8, 16, 2, 4, 6, 2, 16, 2, 4, 6,
2, 6, 4, 2, 4, 2, 12, 10, 2, 4, 6, 6, 2, 6, 6, 4,
12, 2, 6, 4, 2, 6, 4, 6, 8, 4, 8, 4, 14, 4, 6, 2,
4, 6, 8, 6, 4, 2, 10, 8, 4, 2, 4, 2, 10, 2, 10, 6,
2, 12, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8, 6, 4,
2, 4, 8, 10, 6, 6, 8, 6, 6, 4, 2, 4, 8, 6, 4, 2,
4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 6, 10, 6, 8, 4,
8, 10, 8, 4, 2, 4, 6, 8, 10, 6, 2, 18, 6, 4, 2, 4,
6, 2, 6, 4, 6, 2, 10, 12, 2, 4, 6, 6, 2, 6, 4, 2,
4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 6, 2, 4, 8, 6, 4,
8, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2,
10, 2, 6, 4, 8, 10, 6, 6, 8, 6, 4, 2, 6, 4, 6, 12,
6, 2, 4, 14, 10, 2, 4, 6, 2, 6, 6, 4, 12, 2, 6, 6,
4, 12, 2, 10, 2, 4, 2, 10, 2, 6, 6, 10, 6, 2, 10, 2,
6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 6, 2,
12, 4, 2, 4, 8, 6, 4, 8, 10, 2, 10, 8, 4, 6, 2, 6,
4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4,
8, 6, 4, 6, 2, 10, 2, 6, 6, 10, 6, 2, 10, 2, 4, 2,
10, 14, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 10, 2, 10, 14,
4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 8, 4, 6, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4,
6, 6, 8, 4, 8, 4, 6, 8, 4, 2, 6, 18, 4, 6, 12, 2,
6, 6, 4, 2, 4, 6, 2, 12, 4, 2, 12, 10, 2, 4, 2, 4,
6, 2, 6, 4, 6, 6, 8, 10, 2, 6, 4, 6, 8, 6, 4, 6,
8, 6, 12, 4, 6, 2, 6, 10, 6, 6, 2, 6, 4, 2, 6, 10,
2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 8, 4, 2, 6,
10, 12, 2, 4, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 2,
4, 6, 2, 10, 2, 6, 10, 2, 10, 2, 4, 6, 8, 6, 6, 4,
6, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4,
6, 2, 4, 6, 14, 4, 2, 10, 2, 6, 6, 4, 2, 10, 12, 2,
4, 2, 4, 8, 6, 4, 2, 4, 12, 2, 6, 4, 18, 8, 4, 2,
4, 2, 4, 8, 6, 10, 6, 6, 14, 4, 2, 4, 6, 2, 6, 4,
2, 4, 2, 12, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 8,
4, 2, 6, 10, 8, 4, 6, 2, 4, 8, 10, 6, 2, 4, 8, 6,
6, 4, 2, 4, 14, 4, 6, 2, 10, 2, 10, 2, 4, 2, 10, 2,
10, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 6, 4, 2, 4,
8, 10, 12, 6, 2, 6, 6, 4, 2, 18, 4, 2, 4, 2, 10, 2,
10, 2, 4, 2, 4, 6, 12, 2, 10, 8, 6, 4, 8, 4, 6, 8,
4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 10, 6, 2,
6, 6, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 10,
8, 6, 6, 6, 4, 6, 12, 2, 4, 2, 12, 10, 6, 2, 4, 8,
12, 4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 12, 6, 2,
6, 4, 6, 12, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 14,
4, 6, 2, 4, 6, 2, 6, 6, 6, 10, 2, 6, 4, 2, 4, 12,
12, 6, 2, 10, 2, 6, 6, 10, 6, 2, 10, 2, 6, 4, 14, 4,
2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 4, 2, 4,
6, 2, 6, 4, 2, 16, 2, 16, 2, 4, 6, 2, 6, 6, 4, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 14, 4, 6,
2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 24, 4, 2,
4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2, 6, 4, 14, 4, 6,
6, 8, 6, 12, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 8,
10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 4, 12, 8, 4, 2, 6,
4, 6, 12, 2, 4, 2, 12, 6, 10, 6, 6, 2, 6, 10, 2, 4,
6, 2, 6, 6, 4, 12, 2, 10, 2, 4, 12, 2, 6, 6, 4, 6,
8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 8,
4, 6, 8, 10, 2, 10, 2, 6, 4, 6, 2, 10, 2, 10, 2, 6,
4, 14, 4, 2, 4, 6, 6, 2, 6, 4, 8, 10, 8, 4, 2, 4,
6, 8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2, 10,
2, 4, 2, 10, 2, 12, 6, 4, 8, 6, 4, 2, 4, 6, 6, 8,
4, 2, 16, 8, 4, 2, 6, 12, 10, 6, 2, 4, 8, 6, 6, 4,
2, 4, 6, 8, 4, 6, 2, 10, 12, 2, 4, 2, 4, 6, 2, 6,
4, 2, 4, 12, 2, 6, 16, 6, 8, 4, 2, 6, 4, 8, 6, 12,
4, 6, 2, 12, 4, 2, 4, 6, 8, 4, 2, 4, 2, 12, 10, 2,
4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 10, 2, 6, 4, 6, 8,
10, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6,
8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 10,
6, 8, 4, 2, 6, 4, 6, 8, 6, 4, 2, 12, 10, 6, 2, 4,
6, 2, 16, 2, 4, 8, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4,
6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 12, 14, 6, 4, 2, 4,
8, 6, 4, 6, 2, 4, 6, 14, 6, 4, 6, 2, 6, 6, 4, 2,
10, 12, 2, 4, 12, 2, 6, 4, 2, 4, 6, 6, 2, 12, 6, 22,
2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 14, 6, 4, 2, 4, 6,
2, 6, 4, 2, 4, 12, 2, 12, 6, 4, 6, 2, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4,
6, 2, 10, 2, 6, 6, 4, 2, 12, 10, 2, 4, 14, 10, 2, 4,
2, 4, 6, 2, 16, 6, 6, 2, 12, 6, 4, 6, 8, 4, 2, 4,
6, 8, 6, 10, 6, 6, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2,
6, 10, 2, 10, 6, 2, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4,
2, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2,
6, 16, 6, 2, 6, 4, 2, 4, 2, 10, 2, 12, 4, 6, 6, 2,
12, 4, 6, 8, 6, 4, 2, 6, 4, 14, 4, 2, 6, 4, 8, 10,
6, 2, 4, 6, 8, 6, 6, 10, 2, 6, 4, 6, 2, 10, 2, 10,
2, 4, 6, 8, 6, 4, 2, 4, 12, 8, 4, 8, 4, 6, 8, 4,
2, 4, 2, 18, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2,
6, 6, 4, 2, 10, 2, 10, 8, 4, 6, 2, 6, 4, 2, 10, 14,
4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10, 8, 4, 8, 6,
10, 2, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4,
6, 8, 6, 4, 6, 6, 2, 6, 6, 6, 10, 8, 4, 2, 4, 6,
8, 6, 4, 8, 10, 2, 6, 6, 4, 2, 4, 6, 12, 2, 4, 2,
10, 12, 2, 4, 2, 4, 8, 10, 2, 4, 6, 8, 6, 4, 2, 6,
4, 6, 8, 4, 8, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4,
6, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4, 2, 4, 8, 6, 4,
2, 16, 2, 6, 4, 2, 10, 6, 12, 2, 4, 2, 12, 6, 10, 2,
4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 14, 10, 6, 2,
10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 10,
2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 8,
4, 6, 2, 10, 12, 2, 6, 10, 2, 6, 4, 2, 4, 6, 6, 2,
10, 2, 6, 4, 14, 6, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2,
6, 6, 4, 2, 4, 8, 10, 2, 4, 12, 2, 12, 4, 2, 4, 6,
2, 6, 4, 2, 10, 6, 2, 6, 4, 12, 6, 8, 4, 2, 4, 2,
18, 4, 6, 2, 10, 8, 6, 4, 2, 4, 6, 12, 2, 4, 2, 12,
10, 2, 4, 6, 6, 2, 6, 4, 6, 6, 6, 2, 6, 12, 4, 6,
12, 2, 10, 8, 6, 10, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2,
6, 4, 2, 6, 12, 10, 2, 6, 4, 6, 8, 4, 6, 12, 2, 10,
2, 6, 4, 6, 14, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6,
10, 12, 2, 6, 4, 2, 4, 12, 2, 10, 2, 4, 6, 6, 2, 6,
6, 4, 6, 6, 12, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6,
4, 6, 2, 4, 6, 8, 10, 2, 10, 2, 6, 4, 2, 6, 10, 2,
10, 6, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 8, 4,
14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 12, 2, 12, 4, 6, 6,
2, 6, 6, 4, 2, 10, 2, 12, 6, 4, 6, 2, 10, 2, 4, 6,
6, 8, 4, 2, 6, 18, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4,
14, 6, 6, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2,
4, 6, 2, 6, 4, 6, 6, 6, 8, 6, 6, 4, 6, 8, 4, 2,
4, 2, 12, 6, 4, 12, 6, 2, 6, 6, 4, 2, 4, 14, 6, 4,
2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 8, 6,
6, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 12, 6, 2, 6,
10, 12, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 8,
4, 2, 10, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4, 14, 6,
4, 6, 2, 4, 6, 2, 12, 6, 4, 8, 10, 2, 4, 2, 10, 2,
10, 6, 2, 4, 8, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 6,
8, 6, 6, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6,
2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 12, 2, 6, 4, 2, 4,
12, 2, 10, 2, 10, 14, 4, 2, 4, 2, 4, 14, 10, 2, 4, 6,
2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 14, 16, 2, 4, 6,
2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 6,
2, 4, 14, 4, 6, 2, 12, 6, 6, 4, 2, 4, 6, 12, 2, 4,
2, 12, 10, 2, 4, 2, 10, 2, 6, 10, 6, 6, 2, 6, 4, 2,
6, 4, 6, 8, 6, 4, 6, 8, 16, 2, 10, 2, 6, 6, 4, 2,
4, 8, 6, 4, 2, 6, 10, 12, 2, 4, 2, 4, 6, 8, 4, 2,
16, 2, 6, 4, 8, 4, 6, 12, 6, 2, 4, 8, 6, 4, 8, 4,
6, 8, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2,
4, 6, 8, 6, 6, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2,
6, 4, 8, 6, 10, 2, 4, 14, 6, 4, 2, 10, 2, 6, 4, 2,
4, 12, 2, 10, 2, 6, 12, 6, 4, 6, 6, 6, 2, 6, 4, 8,
4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 6, 6, 2, 6, 6,
4, 2, 10, 2, 6, 4, 6, 12, 2, 10, 2, 6, 4, 6, 2, 6,
6, 4, 6, 6, 12, 2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10,
6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 10, 8, 10, 2, 16,
2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 10, 6, 8,
4, 2, 4, 2, 12, 6, 4, 8, 10, 2, 6, 6, 4, 6, 6, 8,
4, 2, 4, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6,
8, 6, 4, 8, 4, 14, 4, 8, 4, 8, 6, 4, 6, 2, 4, 6,
2, 6, 6, 10, 6, 2, 6, 10, 2, 12, 10, 2, 4, 2, 4, 6,
2, 6, 4, 2, 10, 6, 12, 2, 6, 4, 6, 8, 6, 4, 2, 12,
6, 4, 6, 6, 6, 2, 12, 4, 6, 8, 6, 6, 4, 2, 10, 2,
10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 14, 4, 2, 10, 6,
8, 6, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 12, 4, 6,
2, 6, 4, 2, 6, 10, 12, 2, 4, 2, 10, 8, 4, 2, 4, 6,
6, 2, 10, 2, 6, 18, 4, 2, 4, 6, 8, 6, 4, 6, 2, 4,
6, 2, 12, 4, 2, 4, 6, 2, 12, 4, 12, 2, 12, 4, 2, 4,
8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2,
6, 4, 14, 4, 6, 2, 10, 8, 6, 4, 2, 4, 6, 2, 10, 2,
4, 2, 22, 2, 4, 2, 4, 6, 2, 6, 4, 6, 12, 2, 6, 4,
2, 10, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 4, 6, 2, 12,
4, 2, 4, 8, 6, 4, 2, 6, 12, 10, 2, 4, 2, 4, 6, 12,
2, 4, 12, 2, 6, 6, 6, 4, 6, 12, 6, 2, 4, 8, 6, 4,
6, 6, 6, 2, 6, 10, 2, 10, 8, 4, 2, 4, 2, 10, 2, 10,
2, 4, 12, 8, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8,
6, 6, 4, 8, 10, 6, 2, 4, 6, 8, 6, 6, 12, 6, 4, 2,
4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 10, 8, 6,
4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 10, 6, 6, 6, 8,
6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 10,
6, 2, 6, 4, 2, 4, 12, 8, 6, 6, 10, 12, 2, 4, 2, 4,
18, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 6, 2,
10, 2, 10, 8, 4, 6, 2, 6, 4, 12, 6, 2, 6, 6, 6, 4,
6, 8, 4, 2, 4, 2, 4, 14, 4, 8, 4, 8, 6, 6, 4, 2,
10, 8, 4, 2, 4, 12, 2, 10, 2, 4, 2, 4, 6, 2, 12, 4,
6, 8, 10, 2, 6, 4, 6, 8, 4, 6, 6, 8, 6, 4, 6, 2,
10, 2, 6, 6, 4, 6, 6, 2, 6, 6, 6, 10, 12, 6, 2, 4,
6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
6, 2, 12, 6, 4, 8, 10, 2, 12, 4, 6, 8, 6, 4, 2, 4,
2, 10, 2, 16, 2, 4, 8, 10, 2, 4, 6, 6, 2, 6, 4, 2,
10, 20, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 6, 6, 6, 4,
6, 2, 6, 4, 6, 12, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4,
6, 6, 12, 2, 6, 4, 14, 4, 2, 4, 2, 12, 6, 4, 6, 6,
6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 10, 12, 2, 12, 6, 4,
6, 2, 6, 4, 2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4,
2, 4, 2, 4, 14, 4, 8, 10, 2, 6, 10, 2, 4, 6, 2, 10,
2, 4, 2, 12, 12, 4, 2, 4, 6, 8, 4, 6, 6, 6, 2, 6,
4, 2, 16, 8, 4, 2, 4, 14, 6, 10, 2, 4, 6, 2, 6, 6,
4, 2, 4, 6, 12, 2, 6, 10, 2, 10, 2, 4, 2, 4, 14, 4,
2, 4, 12, 2, 6, 4, 8, 4, 6, 12, 2, 6, 4, 8, 6, 4,
6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2,
22, 2, 4, 6, 6, 2, 6, 6, 4, 12, 2, 10, 2, 10, 6, 8,
6, 6, 4, 8, 6, 10, 2, 4, 6, 14, 4, 12, 2, 6, 4, 2,
4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 8,
4, 8, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 6, 6, 2,
6, 10, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 2, 6, 10, 2,
6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 18, 6, 4, 2, 4, 8,
10, 6, 2, 4, 8, 12, 4, 2, 4, 8, 6, 10, 2, 10, 2, 10,
2, 4, 2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 12, 10, 8,
4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 8, 6, 4, 2, 4,
6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 10, 6,
6, 8, 6, 6, 6, 4, 6, 12, 6, 2, 4, 8, 6, 4, 6, 2,
4, 8, 6, 6, 4, 6, 8, 6, 6, 4, 2, 10, 2, 10, 2, 6,
4, 6, 2, 10, 12, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4,
2, 18, 4, 6, 6, 6, 2, 12, 4, 2, 12, 6, 4, 2, 4, 12,
2, 10, 6, 2, 4, 6, 8, 6, 4, 6, 6, 2, 10, 2, 10, 6,
8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6,
4, 6, 2, 6, 4, 2, 6, 10, 12, 6, 2, 10, 2, 6, 4, 2,
4, 6, 8, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 10, 6,
2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 4, 12, 2, 12,
4, 6, 6, 2, 10, 2, 4, 12, 2, 6, 4, 2, 6, 4, 14, 4,
2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 6, 4, 6, 2,
10, 6, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4, 12, 6, 8, 4,
2, 6, 4, 6, 8, 4, 2, 4, 14, 6, 10, 6, 8, 6, 6, 4,
2, 4, 6, 2, 6, 6, 6, 10, 2, 10, 2, 4, 2, 4, 6, 8,
6, 4, 14, 6, 4, 2, 6, 4, 6, 12, 2, 4, 6, 8, 6, 4,
8, 10, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12,
2, 4, 6, 6, 8, 6, 4, 6, 6, 2, 6, 4, 2, 6, 10, 8,
4, 12, 8, 6, 4, 8, 4, 6, 8, 6, 4, 2, 10, 2, 10, 2,
4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6,
2, 6, 4, 8, 4, 6, 12, 2, 6, 4, 8, 6, 10, 6, 6, 2,
6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 12, 2, 6, 10,
2, 6, 4, 2, 4, 12, 8, 4, 2, 16, 8, 4, 2, 4, 2, 4,
8, 16, 2, 4, 8, 12, 4, 2, 4, 6, 2, 6, 4, 6, 2, 12,
10, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6,
4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6,
4, 2, 4, 6, 12, 2, 4, 2, 10, 2, 12, 4, 2, 10, 2, 10,
2, 4, 6, 8, 6, 4, 2, 10, 6, 8, 10, 2, 12, 10, 6, 2,
4, 6, 2, 6, 6, 4, 6, 14, 6, 4, 2, 10, 2, 10, 2, 4,
2, 4, 6, 2, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8,
4, 2, 6, 12, 6, 4, 6, 2, 4, 6, 14, 4, 2, 4, 8, 6,
4, 2, 4, 2, 12, 10, 6, 6, 6, 2, 6, 4, 2, 4, 6, 6,
2, 12, 10, 6, 14, 4, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6,
6, 10, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 6, 10, 2, 6,
4, 6, 6, 6, 12, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4,
6, 2, 4, 6, 2, 6, 10, 2, 10, 2, 6, 4, 2, 16, 2, 12,
4, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 10, 2, 6, 4, 14,
4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 12, 4, 2, 4, 6,
2, 12, 6, 12, 10, 6, 2, 4, 6, 2, 6, 4, 6, 6, 6, 2,
6, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8, 6, 10, 2, 10, 8,
6, 4, 6, 6, 2, 6, 4, 2, 6, 10, 2, 12, 4, 2, 4, 6,
12, 6, 12, 2, 6, 4, 2, 6, 4, 18, 2, 4, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 12, 4, 8, 6, 4, 6, 2, 10, 2,
10, 2, 4, 6, 6, 2, 12, 4, 6, 6, 8, 6, 6, 4, 6, 8,
4, 2, 6, 12, 6, 4, 6, 6, 6, 8, 6, 4, 2, 10, 2, 6,
6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 4, 6, 8,
6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 12, 6,
2, 6, 12, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 6,
4, 6, 8, 4, 2, 4, 6, 14, 4, 2, 6, 10, 8, 4, 2, 4,
6, 8, 10, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 10, 6,
2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 4, 12, 2, 6, 6,
6, 4, 6, 8, 4, 2, 6, 4, 14, 4, 8, 4, 6, 2, 6, 6,
4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 12, 6, 2, 4, 6, 2,
10, 2, 18, 6, 4, 2, 10, 6, 8, 4, 6, 2, 4, 8, 6, 10,
2, 4, 8, 12, 4, 6, 6, 2, 6, 6, 4, 2, 12, 10, 2, 4,
2, 4, 6, 2, 6, 6, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8,
4, 6, 14, 6, 4, 6, 2, 10, 2, 12, 4, 2, 4, 14, 4, 2,
4, 2, 10, 12, 6, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 6,
4, 2, 10, 6, 8, 10, 2, 4, 8, 10, 8, 4, 6, 2, 6, 6,
6, 4, 8, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 12, 6, 4,
2, 10, 6, 2, 10, 8, 4, 18, 2, 4, 2, 4, 8, 6, 10, 2,
4, 6, 8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 12,
4, 12, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12,
2, 4, 2, 4, 14, 4, 6, 2, 12, 6, 6, 4, 2, 4, 6, 2,
10, 6, 2, 12, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 2,
6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 14, 10, 2, 4, 6,
2, 6, 6, 4, 2, 10, 2, 10, 2, 16, 2, 12, 4, 2, 4, 6,
8, 6, 4, 12, 2, 10, 2, 10, 6, 12, 2, 4, 2, 12, 6, 4,
6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2, 6, 10, 2,
10, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6, 4, 8, 4, 6,
8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 10, 8, 6, 4, 12, 2,
6, 4, 2, 4, 2, 12, 12, 4, 2, 4, 8, 10, 2, 4, 6, 6,
2, 10, 8, 4, 14, 6, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2,
6, 6, 10, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 6, 4, 6,
2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4,
2, 12, 10, 6, 6, 8, 6, 10, 2, 4, 6, 2, 6, 12, 10, 2,
10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 6, 6,
4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 16, 2,
4, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 12, 2,
4, 6, 8, 6, 4, 2, 6, 10, 8, 4, 6, 6, 8, 6, 4, 6,
2, 4, 6, 8, 6, 4, 6, 6, 2, 12, 4, 2, 10, 2, 10, 2,
4, 2, 4, 8, 6, 4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 8,
4, 2, 6, 12, 6, 4, 6, 2, 4, 6, 2, 12, 4, 2, 4, 8,
6, 4, 2, 4, 2, 10, 12, 6, 2, 4, 6, 2, 10, 2, 4, 12,
2, 6, 6, 10, 6, 8, 6, 4, 2, 4, 8, 6, 10, 6, 6, 2,
12, 6, 10, 2, 6, 4, 2, 4, 2, 22, 2, 4, 2, 10, 8, 4,
2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 6, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 12,
2, 12, 4, 2, 10, 2, 6, 4, 2, 4, 6, 8, 6, 4, 2, 6,
4, 6, 8, 6, 4, 2, 4, 18, 6, 2, 10, 2, 6, 6, 4, 2,
4, 8, 10, 2, 4, 2, 12, 10, 2, 4, 6, 6, 2, 6, 4, 18,
2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 6, 14, 10, 2, 4, 6,
8, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 6, 6,
6, 8, 4, 2, 16, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 4,
8, 6, 4, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 2,
4, 2, 10, 2, 10, 2, 10, 6, 2, 6, 10, 6, 6, 2, 6, 4,
2, 6, 4, 6, 8, 4, 2, 10, 14, 4, 6, 2, 10, 8, 6, 4,
2, 10, 2, 6, 4, 2, 4, 12, 12, 2, 4, 2, 4, 8, 6, 6,
4, 6, 6, 2, 10, 8, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4,
12, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2,
10, 8, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 12,
2, 4, 2, 4, 8, 16, 2, 12, 6, 6, 4, 6, 6, 2, 6, 4,
6, 12, 2, 12, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6,
6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6,
6, 6, 4, 6, 8, 4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 2,
10, 2, 4, 6, 14, 4, 2, 6, 4, 6, 8, 4, 6, 2, 12, 6,
4, 6, 6, 6, 2, 6, 6, 4, 6, 6, 2, 12, 4, 2, 10, 2,
12, 4, 2, 4, 6, 2, 6, 4, 2, 10, 8, 6, 4, 2, 10, 6,
8, 4, 2, 4, 2, 12, 6, 4, 8, 4, 6, 2, 16, 2, 4, 14,
4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 8, 4, 2, 4, 6,
6, 2, 6, 4, 18, 8, 6, 10, 8, 6, 4, 6, 2, 4, 6, 2,
6, 6, 6, 4, 6, 2, 10, 2, 4, 2, 22, 2, 4, 2, 12, 6,
4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 6, 6, 4, 8, 6,
4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 4,
12, 14, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 8, 4, 2, 10,
6, 8, 4, 2, 4, 2, 4, 14, 10, 2, 10, 2, 16, 2, 4, 6,
2, 10, 2, 6, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 14, 4, 6, 6, 8, 6, 10, 2, 4,
6, 2, 12, 4, 2, 4, 6, 8, 6, 6, 10, 2, 10, 2, 4, 2,
10, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 10, 14, 4, 2, 4,
8, 10, 6, 2, 4, 6, 8, 10, 2, 4, 8, 6, 4, 2, 4, 2,
10, 2, 10, 2, 4, 6, 6, 2, 6, 16, 6, 2, 6, 4, 8, 4,
6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4,
2, 12, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 10, 2,
4, 6, 6, 2, 6, 12, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4,
6, 6, 8, 6, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2,
10, 2, 6, 4, 6, 8, 4, 6, 6, 6, 8, 4, 2, 6, 10, 8,
4, 2, 4, 2, 4, 18, 6, 2, 4, 8, 6, 6, 6, 10, 2, 6,
4, 6, 12, 2, 10, 2, 4, 2, 4, 6, 2, 6, 6, 4, 6, 8,
12, 6, 4, 6, 8, 4, 2, 4, 2, 4, 8, 10, 8, 4, 6, 2,
6, 6, 4, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 6, 6, 6,
2, 10, 2, 4, 14, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4,
14, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 6, 4, 2,
10, 2, 16, 2, 4, 6, 2, 10, 2, 10, 6, 2, 6, 4, 2, 6,
4, 14, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 8, 12, 6, 4,
8, 6, 4, 6, 2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 6, 4,
6, 6, 8, 4, 2, 10, 6, 8, 6, 4, 14, 6, 4, 6, 12, 2,
6, 6, 6, 4, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4, 2, 10,
2, 6, 4, 2, 4, 6, 8, 10, 2, 6, 4, 14, 4, 6, 2, 4,
8, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2,
4, 12, 2, 12, 4, 2, 4, 14, 4, 2, 4, 6, 6, 2, 6, 4,
2, 6, 10, 12, 2, 4, 6, 14, 10, 2, 10, 2, 6, 6, 4, 2,
4, 6, 2, 10, 2, 4, 14, 10, 2, 4, 2, 12, 6, 4, 6, 6,
6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 10, 8, 6, 10, 2,
4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 8, 10, 12, 2,
6, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 12, 2,
4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 16, 2, 4, 6, 2, 10,
2, 4, 2, 12, 12, 4, 6, 6, 2, 6, 6, 4, 6, 6, 2, 6,
4, 2, 10, 6, 8, 4, 8, 12, 6, 4, 6, 2, 4, 6, 8, 6,
4, 2, 10, 8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 12, 6,
4, 2, 4, 6, 6, 2, 6, 4, 8, 4, 6, 8, 6, 6, 4, 8,
10, 6, 6, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 4, 2,
12, 10, 2, 6, 4, 6, 2, 6, 4, 2, 10, 6, 12, 8, 10, 8,
6, 4, 2, 4, 8, 10, 6, 2, 4, 14, 6, 4, 6, 6, 2, 6,
4, 6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 4, 6,
6, 8, 6, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 8, 4,
8, 6, 10, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 2, 6, 4,
6, 2, 10, 6, 6, 8, 6, 4, 2, 6, 4, 14, 4, 6, 2, 4,
14, 4, 6, 2, 4, 6, 2, 12, 4, 12, 2, 6, 6, 4, 12, 2,
10, 2, 4, 2, 4, 6, 2, 6, 6, 10, 6, 2, 10, 2, 6, 10,
8, 4, 2, 4, 2, 12, 6, 4, 6, 2, 4, 6, 14, 4, 2, 4,
8, 6, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 6,
6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4,
6, 2, 10, 2, 6, 6, 10, 8, 6, 4, 2, 4, 2, 10, 14, 4,
2, 10, 2, 10, 2, 4, 6, 6, 2, 12, 6, 4, 14, 4, 2, 4,
2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 10, 2, 6, 4,
6, 12, 2, 12, 4, 2, 4, 6, 8, 4, 2, 4, 6, 6, 8, 4,
2, 6, 4, 6, 8, 4, 2, 4, 2, 18, 4, 6, 12, 2, 6, 6,
6, 4, 6, 2, 12, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6,
4, 6, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8,
18, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2,
10, 2, 4, 6, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 10,
12, 2, 4, 6, 14, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6,
2, 10, 2, 4, 2, 10, 2, 10, 6, 6, 8, 6, 6, 10, 6, 2,
6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2,
4, 14, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4,
2, 4, 8, 6, 6, 4, 12, 2, 6, 4, 12, 6, 8, 4, 2, 4,
6, 8, 6, 10, 12, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4,
2, 22, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2,
6, 10, 8, 4, 6, 2, 4, 8, 10, 8, 4, 8, 6, 6, 4, 2,
4, 6, 8, 4, 6, 2, 10, 2, 10, 2, 4, 2, 12, 6, 4, 2,
4, 6, 6, 2, 6, 6, 6, 4, 6, 14, 4, 2, 4, 8, 18, 4,
6, 2, 6, 6, 4, 2, 4, 14, 4, 2, 4, 12, 2, 10, 2, 4,
2, 10, 2, 10, 2, 10, 8, 6, 4, 8, 4, 6, 8, 4, 6, 2,
4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 4, 6, 6, 2, 6, 10,
2, 10, 2, 10, 2, 10, 6, 2, 6, 4, 2, 10, 6, 2, 6, 6,
6, 4, 6, 12, 2, 4, 2, 12, 6, 4, 6, 2, 4, 8, 12, 4,
2, 4, 8, 10, 2, 4, 2, 10, 2, 18, 4, 6, 2, 6, 4, 6,
6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 4, 2, 18, 4, 6, 2,
4, 6, 2, 6, 6, 6, 10, 8, 4, 2, 4, 12, 12, 2, 4, 2,
10, 2, 6, 6, 4, 6, 6, 2, 10, 8, 4, 14, 4, 2, 6, 4,
8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6,
4, 2, 18, 16, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 10,
2, 6, 4, 6, 8, 6, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6,
6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2,
10, 6, 6, 6, 8, 4, 2, 6, 4, 14, 4, 2, 4, 6, 8, 6,
10, 2, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 8, 10, 2, 10,
2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 8, 4, 2, 6, 4, 18,
2, 4, 2, 12, 6, 4, 6, 6, 6, 2, 16, 2, 4, 6, 2, 6,
6, 4, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 8,
6, 4, 2, 6, 10, 8, 4, 2, 6, 4, 8, 6, 4, 8, 4, 6,
8, 10, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2,
4, 14, 4, 6, 6, 6, 2, 6, 4, 8, 10, 8, 4, 2, 4, 6,
8, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 8, 10, 2, 4,
2, 10, 2, 10, 2, 6, 4, 8, 10, 2, 4, 6, 6, 8, 6, 6,
10, 8, 4, 2, 6, 4, 8, 10, 6, 6, 8, 6, 6, 4, 2, 10,
2, 6, 4, 6, 2, 10, 12, 2, 4, 2, 4, 6, 8, 4, 2, 4,
12, 2, 6, 6, 10, 6, 8, 4, 2, 4, 2, 4, 8, 6, 12, 4,
6, 2, 12, 6, 4, 6, 8, 4, 2, 4, 2, 12, 10, 2, 4, 2,
4, 6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4,
6, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 8,
6, 4, 2, 10, 2, 10, 2, 4, 12, 2, 6, 4, 2, 16, 2, 6,
4, 2, 6, 4, 6, 8, 6, 4, 2, 22, 6, 2, 4, 6, 2, 12,
4, 2, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6,
2, 6, 4, 2, 10, 6, 2, 6, 4, 12, 6, 8, 6, 4, 2, 4,
8, 6, 4, 6, 2, 4, 14, 6, 6, 4, 6, 2, 6, 4, 2, 4,
2, 10, 12, 2, 4, 12, 2, 6, 6, 4, 6, 6, 2, 12, 6, 4,
18, 2, 4, 6, 8, 6, 4, 6, 2, 12, 6, 6, 4, 2, 4, 6,
2, 6, 4, 2, 4, 12, 14, 6, 4, 6, 2, 6, 4, 6, 6, 6,
2, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 8, 10,
2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 14, 10, 2, 4, 2, 4,
8, 6, 10, 6, 6, 2, 10, 2, 6, 4, 6, 12, 2, 4, 6, 8,
6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2,
16, 2, 10, 6, 2, 10, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6,
4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 6, 10,
6, 6, 2, 6, 4, 6, 2, 10, 2, 12, 10, 6, 2, 12, 4, 6,
6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6,
2, 4, 6, 8, 6, 6, 10, 2, 10, 6, 2, 10, 2, 12, 4, 2,
4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 12, 6, 8, 4, 2, 4,
2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 8, 6,
4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 4, 6, 14,
4, 8, 10, 8, 4, 2, 6, 4, 8, 10, 8, 4, 8, 6, 10, 2,
4, 6, 2, 6, 4, 6, 2, 12, 10, 2, 4, 2, 4, 6, 8, 4,
2, 4, 6, 6, 2, 12, 6, 10, 8, 6, 4, 6, 8, 6, 4, 8,
4, 6, 2, 6, 6, 4, 6, 6, 12, 2, 4, 2, 10, 2, 10, 2,
4, 2, 4, 8, 10, 2, 4, 6, 14, 4, 2, 6, 4, 6, 8, 4,
8, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10, 6, 6, 2, 6,
6, 6, 10, 12, 2, 4, 2, 4, 6, 2, 6, 4, 2, 16, 2, 6,
4, 2, 10, 14, 4, 2, 4, 2, 12, 6, 10, 2, 4, 6, 2, 12,
4, 2, 4, 8, 6, 6, 4, 2, 12, 10, 6, 2, 4, 6, 2, 6,
4, 2, 4, 6, 6, 2, 6, 4, 2, 16, 8, 10, 2, 4, 8, 6,
4, 6, 2, 4, 6, 8, 6, 6, 4, 6, 8, 4, 2, 4, 2, 10,
12, 2, 4, 2, 10, 2, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4,
14, 6, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 4, 2,
4, 8, 6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 2, 10, 2,
10, 6, 2, 6, 12, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6,
12, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 12, 10, 2, 4, 6,
6, 8, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 6,
8, 6, 10, 2, 4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 2, 6,
10, 2, 10, 2, 6, 4, 6, 8, 4, 6, 14, 6, 4, 2, 6, 4,
6, 12, 2, 4, 2, 4, 18, 6, 2, 4, 6, 2, 6, 10, 2, 10,
2, 6, 4, 2, 4, 12, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4,
12, 2, 10, 2, 6, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2,
4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 6, 10, 2, 10, 6,
2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4,
2, 4, 2, 4, 8, 6, 4, 6, 14, 6, 6, 4, 6, 6, 2, 6,
4, 2, 4, 2, 10, 2, 12, 6, 4, 6, 2, 12, 4, 6, 6, 8,
4, 2, 6, 18, 4, 2, 4, 6, 8, 10, 6, 2, 12, 6, 6, 6,
4, 6, 2, 6, 4, 6, 2, 10, 12, 2, 4, 2, 4, 6, 2, 6,
4, 2, 4, 6, 6, 8, 6, 6, 4, 6, 8, 4, 6, 2, 12, 6,
4, 12, 6, 2, 6, 6, 4, 2, 4, 6, 8, 6, 4, 2, 10, 2,
10, 2, 4, 2, 4, 8, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4,
6, 12, 6, 2, 4, 8, 6, 12, 4, 6, 2, 6, 10, 6, 6, 2,
6, 6, 4, 12, 2, 10, 2, 4, 2, 10, 8, 4, 2, 10, 6, 2,
6, 4, 2, 6, 10, 8, 4, 2, 4, 14, 6, 4, 6, 2, 4, 6,
2, 12, 4, 2, 4, 8, 10, 6, 2, 10, 2, 10, 8, 4, 8, 6,
4, 2, 4, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 6, 4, 8,
6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 10, 2, 4,
2, 10, 14, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 10, 2, 10,
14, 4, 2, 4, 2, 12, 6, 10, 2, 4, 6, 2, 12, 4, 2, 4,
6, 8, 4, 2, 4, 14, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4,
6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 8, 4, 14, 4, 6, 2,
10, 2, 6, 6, 4, 2, 4, 6, 12, 2, 4, 2, 12, 10, 2, 4,
2, 10, 2, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4, 6, 8, 6,
4, 6, 8, 16, 2, 4, 6, 2, 6, 6, 4, 6, 8, 6, 4, 2,
6, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 16, 8, 4, 8,
4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 10,
2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 2, 4, 6, 6, 2,
6, 6, 4, 6, 6, 2, 6, 6, 6, 4, 18, 2, 6, 4, 8, 6,
4, 6, 2, 4, 20, 4, 2, 10, 2, 6, 6, 4, 2, 10, 2, 10,
2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 8, 10, 8, 4,
2, 4, 2, 4, 14, 4, 6, 6, 6, 8, 6, 4, 2, 10, 2, 6,
4, 2, 4, 12, 2, 10, 2, 6, 4, 6, 2, 6, 10, 6, 6, 12,
2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6,
6, 4, 2, 4, 8, 6, 4, 8, 10, 2, 10, 6, 2, 4, 6, 2,
10, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2,
4, 8, 6, 4, 18, 2, 6, 6, 4, 12, 8, 4, 2, 4, 2, 10,
2, 12, 4, 2, 4, 6, 12, 2, 4, 6, 8, 6, 4, 2, 6, 4,
14, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 10,
6, 2, 6, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4,
2, 10, 14, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 10, 6,
6, 6, 2, 12, 4, 2, 4, 8, 6, 6, 4, 2, 10, 2, 10, 6,
6, 6, 2, 6, 4, 2, 4, 14, 6, 4, 2, 10, 6, 8, 6, 4,
2, 4, 14, 4, 8, 4, 6, 2, 6, 12, 4, 6, 2, 6, 4, 2,
4, 2, 10, 12, 6, 2, 10, 8, 4, 2, 10, 6, 2, 10, 2, 6,
18, 4, 2, 4, 6, 8, 6, 4, 6, 2, 4, 8, 6, 6, 4, 2,
4, 6, 2, 10, 2, 4, 12, 2, 12, 4, 2, 4, 8, 6, 6, 4,
6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 10, 14, 4, 6,
2, 10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 22, 2,
4, 2, 4, 6, 2, 6, 4, 6, 12, 2, 6, 4, 2, 10, 6, 8,
4, 6, 6, 8, 6, 12, 4, 6, 2, 12, 4, 2, 4, 6, 2, 6,
4, 2, 6, 12, 10, 2, 4, 2, 4, 14, 4, 2, 4, 12, 2, 6,
4, 2, 6, 4, 6, 12, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2,
6, 10, 2, 4, 6, 8, 4, 2, 4, 12, 2, 10, 2, 4, 12, 2,
6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 6, 4,
8, 10, 6, 2, 4, 6, 8, 6, 4, 2, 12, 6, 4, 6, 2, 10,
2, 10, 2, 6, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4,
6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 8, 6, 4,
2, 4, 6, 2, 10, 2, 4, 2, 10, 2, 12, 10, 6, 2, 6, 4,
2, 4, 6, 6, 8, 6, 16, 12, 2, 4, 2, 12, 10, 6, 2, 4,
8, 6, 6, 4, 2, 4, 6, 8, 4, 6, 2, 10, 2, 10, 2, 6,
4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 12, 4, 6, 8, 4, 2,
6, 4, 14, 4, 8, 4, 6, 2, 6, 6, 4, 2, 10, 8, 4, 2,
4, 14, 10, 2, 4, 2, 4, 6, 2, 12, 4, 6, 8, 10, 2, 6,
4, 6, 8, 10, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6,
4, 6, 6, 2, 6, 6, 6, 10, 2, 10, 6, 2, 4, 6, 2, 6,
4, 2, 10, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 12,
6, 4, 6, 2, 10, 2, 16, 6, 8, 6, 4, 2, 6, 10, 2, 16,
2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 10, 14, 6,
4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 12, 6, 4, 6, 2,
6, 10, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6,
12, 2, 6, 18, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 8, 6,
4, 2, 4, 6, 2, 6, 6, 4, 12, 2, 12, 4, 2, 4, 6, 2,
6, 4, 6, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2,
4, 14, 4, 8, 10, 2, 6, 10, 2, 4, 8, 10, 2, 4, 2, 12,
10, 2, 4, 2, 4, 6, 12, 6, 6, 6, 2, 6, 6, 6, 10, 8,
4, 2, 4, 6, 8, 6, 10, 6, 6, 2, 6, 6, 4, 2, 10, 2,
10, 2, 6, 10, 2, 10, 2, 4, 2, 4, 14, 4, 2, 4, 12, 2,
6, 4, 2, 6, 4, 6, 12, 2, 6, 4, 8, 6, 4, 6, 2, 4,
6, 2, 6, 12, 4, 6, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4,
6, 6, 2, 6, 6, 4, 14, 6, 4, 2, 10, 6, 8, 4, 2, 6,
4, 8, 16, 2, 4, 6, 14, 4, 2, 10, 2, 6, 4, 2, 4, 2,
12, 10, 2, 4, 6, 8, 6, 4, 2, 4, 12, 2, 6, 4, 8, 4,
6, 8, 4, 6, 2, 4, 14, 4, 6, 6, 6, 2, 6, 6, 4, 2,
4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 8, 10, 2, 6, 4, 2,
10, 6, 8, 4, 2, 6, 10, 8, 6, 4, 2, 4, 8, 10, 6, 2,
4, 8, 6, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 10, 2,
4, 2, 4, 6, 2, 6, 6, 10, 6, 2, 6, 12, 4, 6, 8, 4,
2, 4, 6, 8, 6, 4, 8, 10, 8, 6, 4, 2, 4, 6, 8, 4,
2, 4, 2, 10, 12, 2, 4, 6, 6, 2, 10, 2, 4, 6, 8, 6,
6, 6, 4, 6, 12, 6, 2, 4, 8, 6, 4, 8, 4, 8, 6, 6,
4, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 6, 4, 8, 6,
4, 12, 6, 2, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 18, 10,
2, 4, 6, 2, 12, 4, 2, 12, 6, 4, 2, 4, 12, 2, 10, 6,
2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 10, 6, 8, 6, 4,
2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2,
6, 4, 8, 10, 12, 8, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10,
2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2,
6, 6, 4, 6, 6, 2, 10, 2, 4, 12, 2, 12, 4, 2, 4, 6,
2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 10, 14, 4, 2, 4, 2,
18, 4, 6, 2, 10, 2, 6, 6, 6, 4, 6, 12, 6, 2, 12, 10,
2, 4, 2, 4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 8, 4, 6,
8, 4, 2, 18, 6, 10, 6, 6, 2, 6, 6, 4, 2, 4, 6, 2,
6, 6, 6, 12, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 14, 10,
2, 6, 4, 6, 14, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6,
10, 6, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6,
8, 6, 4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 10, 8, 6,
4, 6, 2, 4, 6, 8, 10, 2, 10, 2, 10, 2, 6, 10, 2, 10,
2, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 8, 4,
14, 4, 2, 6, 4, 8, 6, 4, 6, 6, 6, 2, 12, 4, 2, 4,
6, 2, 6, 6, 4, 2, 10, 12, 2, 6, 4, 6, 2, 6, 4, 2,
4, 12, 8, 4, 2, 16, 8, 4, 2, 4, 2, 4, 8, 16, 2, 4,
20, 4, 2, 4, 6, 2, 6, 4, 6, 2, 12, 10, 2, 4, 2, 4,
6, 2, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 6,
2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 14, 4,
2, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8,
6, 6, 6, 4, 6, 8, 10, 2, 4, 8, 10, 6, 6, 6, 2, 6,
6, 4, 14, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 8,
4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 12,
6, 4, 6, 2, 4, 6, 14, 6, 4, 8, 6, 4, 2, 4, 2, 10,
2, 10, 6, 6, 6, 2, 6, 4, 2, 4, 6, 8, 6, 6, 10, 6,
14, 4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2,
6, 4, 2, 4, 2, 10, 12, 2, 16, 2, 6, 4, 6, 12, 2, 10,
2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 2,
6, 6, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 16, 2, 4, 6,
2, 6, 6, 10, 6, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 2,
4, 14, 4, 6, 2, 12, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6,
12, 10, 6, 2, 4, 6, 2, 6, 10, 6, 6, 2, 6, 4, 2, 6,
4, 6, 8, 4, 2, 4, 6, 8, 6, 10, 2, 10, 2, 6, 6, 4,
6, 6, 2, 6, 4, 2, 6, 10, 14, 4, 2, 4, 6, 12, 2, 4,
12, 2, 6, 4, 2, 6, 4, 18, 6, 2, 4, 8, 6, 4, 8, 4,
6, 2, 6, 12, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 4,
6, 8, 6, 6, 4, 6, 6, 8, 4, 2, 6, 4, 6, 12, 2, 6,
12, 6, 10, 6, 6, 8, 6, 4, 2, 10, 2, 6, 6, 4, 12, 2,
10, 2, 4, 2, 12, 6, 4, 2, 4, 6, 8, 6, 4, 8, 4, 6,
8, 4, 2, 4, 2, 4, 8, 6, 4, 12, 6, 2, 6, 10, 2, 4,
6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 8, 4, 2,
4, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8, 10, 6,
2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 10, 6, 2, 10, 2, 12,
4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 6, 10, 6, 8,
4, 2, 6, 12, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 6,
8, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 6, 2, 10, 2, 4,
14, 6, 4, 12, 6, 8, 4, 8, 4, 8, 6, 10, 2, 4, 6, 2,
12, 4, 6, 6, 2, 6, 6, 4, 2, 12, 10, 2, 4, 2, 4, 6,
2, 6, 4, 2, 10, 6, 2, 10, 2, 6, 4, 6, 8, 10, 2, 12,
6, 4, 6, 2, 4, 6, 2, 12, 4, 6, 14, 4, 2, 4, 2, 10,
2, 10, 6, 2, 10, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 10,
6, 8, 6, 4, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 12, 4,
8, 6, 4, 2, 6, 10, 12, 2, 4, 2, 10, 2, 6, 4, 2, 10,
6, 2, 10, 8, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2,
4, 6, 14, 4, 2, 4, 6, 2, 6, 6, 4, 12, 2, 12, 4, 6,
6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 6, 10, 12, 2, 4,
2, 4, 14, 4, 6, 2, 18, 6, 4, 2, 4, 6, 2, 10, 2, 4,
2, 12, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4,
2, 6, 4, 6, 8, 4, 2, 4, 6, 14, 10, 2, 4, 6, 2, 6,
6, 4, 2, 12, 6, 4, 2, 16, 2, 10, 2, 4, 2, 4, 6, 14,
4, 12, 2, 12, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6,
6, 6, 2, 6, 10, 2, 10, 2, 6, 4, 2, 6, 10, 2, 10, 6,
6, 6, 8, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4,
2, 6, 4, 8, 6, 4, 6, 2, 10, 8, 6, 16, 2, 6, 4, 2,
4, 2, 10, 2, 12, 4, 2, 4, 8, 10, 2, 4, 6, 8, 6, 4,
8, 4, 14, 4, 2, 4, 2, 4, 8, 10, 6, 6, 6, 2, 6, 6,
6, 4, 6, 2, 6, 4, 6, 2, 10, 2, 10, 2, 10, 6, 2, 6,
4, 2, 4, 12, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2, 22, 6,
6, 8, 6, 6, 4, 2, 4, 6, 2, 6, 10, 2, 10, 2, 10, 6,
2, 4, 6, 2, 6, 4, 2, 10, 8, 6, 6, 6, 4, 6, 8, 4,
2, 4, 2, 4, 8, 6, 4, 8, 4, 8, 6, 10, 2, 4, 6, 8,
4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 14, 4, 6, 8,
6, 4, 2, 6, 10, 8, 4, 6, 6, 8, 6, 4, 6, 2, 10, 2,
6, 6, 4, 6, 6, 2, 12, 4, 2, 10, 12, 2, 4, 2, 4, 8,
6, 4, 2, 10, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 8, 12,
6, 4, 8, 4, 6, 2, 12, 4, 2, 4, 8, 6, 4, 2, 4, 2,
10, 12, 6, 2, 4, 8, 6, 4, 2, 4, 12, 2, 6, 4, 2, 10,
6, 14, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 6, 4, 6,
2, 6, 4, 2, 4, 24, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6,
6, 2, 10, 2, 6, 4, 14, 4, 6, 2, 4, 8, 6, 4, 6, 2,
4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 6, 12, 2, 12, 6,
10, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8,
6, 4, 2, 4, 18, 6, 2, 10, 2, 6, 6, 4, 2, 4, 8, 10,
2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 6, 4, 12, 6, 2, 6,
4, 12, 6, 8, 4, 2, 4, 14, 6, 10, 2, 4, 6, 8, 6, 4,
2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 2, 4, 6, 6, 8, 4,
2, 4, 12, 2, 6, 12, 4, 6, 12, 2, 6, 4, 8, 6, 4, 6,
2, 4, 8, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10,
2, 10, 6, 2, 6, 10, 6, 6, 2, 10, 2, 6, 4, 6, 8, 6,
6, 4, 14, 4, 6, 2, 4, 6, 8, 6, 4, 12, 2, 6, 4, 2,
4, 12, 2, 10, 2, 4, 2, 4, 8, 6, 6, 4, 6, 6, 12, 8,
4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6,
10, 2, 4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 8, 4, 6, 2,
6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 18, 4, 2, 4, 2, 4,
8, 10, 6, 2, 12, 12, 4, 6, 6, 2, 6, 10, 2, 10, 2, 12,
4, 2, 4, 6, 2, 10, 2, 4, 6, 6, 2, 6, 6, 6, 18, 4,
2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 8, 6, 6, 4, 6, 8,
4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 10, 6, 6, 14,
4, 2, 6, 4, 6, 8, 4, 6, 2, 12, 6, 4, 6, 6, 6, 2,
6, 6, 4, 6, 8, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4,
6, 2, 10, 2, 10, 8, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2,
12, 6, 4, 12, 6, 2, 16, 2, 12, 6, 4, 2, 4, 2, 10, 2,
10, 6, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 16,
8, 6, 4, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4,
6, 2, 10, 2, 4, 2, 10, 12, 2, 4, 2, 12, 6, 4, 2, 4,
6, 8, 10, 2, 6, 4, 14, 4, 2, 6, 4, 8, 10, 6, 2, 4,
6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 14, 4,
6, 6, 2, 6, 4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 8, 4,
2, 4, 2, 4, 14, 10, 2, 10, 2, 12, 4, 2, 4, 6, 2, 10,
2, 4, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4, 12, 6, 2, 6,
4, 2, 6, 4, 6, 8, 4, 6, 6, 8, 6, 10, 2, 4, 8, 6,
6, 4, 2, 4, 6, 8, 4, 2, 6, 10, 2, 10, 2, 4, 2, 10,
8, 6, 4, 12, 2, 6, 4, 2, 6, 4, 6, 14, 4, 6, 8, 10,
6, 2, 10, 2, 6, 10, 2, 4, 8, 6, 4, 2, 4, 2, 10, 12,
2, 4, 6, 6, 2, 6, 6, 10, 6, 2, 6, 4, 8, 4, 6, 8,
4, 8, 4, 8, 6, 4, 8, 4, 6, 8, 6, 4, 2, 10, 2, 6,
4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 4, 6,
6, 2, 6, 12, 4, 6, 12, 2, 4, 2, 4, 8, 6, 10, 6, 8,
6, 6, 4, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 10, 2, 6,
10, 2, 6, 4, 6, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4,
2, 4, 18, 6, 2, 4, 8, 6, 6, 4, 2, 10, 2, 6, 4, 6,
12, 2, 10, 2, 6, 4, 6, 2, 6, 6, 4, 6, 6, 2, 12, 6,
4, 6, 8, 4, 2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6,
6, 4, 2, 4, 6, 12, 2, 6, 10, 2, 16, 2, 4, 6, 2, 10,
2, 4, 6, 8, 6, 4, 2, 10, 6, 8, 4, 6, 2, 12, 6, 4,
6, 2, 10, 2, 6, 6, 4, 6, 6, 8, 6, 4, 2, 10, 2, 12,
4, 2, 4, 6, 2, 10, 2, 10, 6, 2, 6, 4, 8, 4, 14, 4,
2, 6, 12, 6, 4, 6, 2, 4, 6, 2, 12, 6, 4, 8, 6, 4,
6, 2, 12, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 12,
2, 10, 6, 8, 6, 4, 2, 12, 6, 4, 6, 6, 6, 2, 6, 6,
10, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4, 2, 10, 2, 6, 4,
2, 4, 6, 18, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4,
8, 4, 6, 2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 16, 2, 12,
4, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 18,
4, 2, 4, 6, 14, 4, 6, 2, 10, 2, 12, 4, 2, 4, 6, 2,
12, 4, 2, 12, 10, 2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2,
6, 4, 2, 6, 10, 8, 4, 2, 10, 8, 6, 10, 2, 4, 6, 8,
6, 4, 2, 4, 6, 2, 6, 4, 2, 6, 10, 12, 2, 4, 2, 4,
6, 8, 4, 6, 12, 2, 6, 4, 2, 10, 6, 12, 2, 4, 2, 4,
8, 6, 10, 2, 4, 6, 2, 16, 2, 4, 8, 6, 4, 2, 4, 2,
12, 10, 2, 4, 6, 6, 2, 12, 4, 6, 6, 2, 6, 6, 6, 4,
6, 8, 4, 8, 4, 8, 6, 4, 6, 6, 6, 8, 6, 4, 2, 10,
8, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 18, 4, 2, 4, 6,
6, 2, 6, 4, 8, 4, 6, 8, 6, 4, 2, 4, 8, 10, 6, 6,
6, 2, 6, 6, 6, 4, 8, 6, 4, 2, 4, 2, 10, 2, 10, 2,
6, 4, 6, 2, 6, 4, 2, 10, 14, 4, 8, 10, 8, 4, 2, 4,
2, 4, 8, 10, 6, 2, 4, 14, 6, 4, 2, 4, 6, 2, 6, 4,
6, 2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 4, 2, 4, 12, 2,
6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 14, 4, 8, 4, 8, 6,
6, 4, 2, 4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 8, 4, 6,
2, 10, 12, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 14,
4, 6, 2, 4, 8, 6, 6, 4, 12, 2, 6, 6, 4, 12, 2, 10,
2, 4, 2, 4, 6, 2, 6, 6, 10, 6, 2, 10, 2, 6, 4, 6,
8, 4, 2, 4, 14, 6, 4, 6, 2, 10, 2, 12, 4, 2, 4, 8,
6, 4, 2, 6, 10, 12, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6,
6, 2, 6, 4, 2, 10, 6, 8, 10, 2, 4, 8, 6, 4, 8, 10,
2, 6, 6, 10, 6, 2, 6, 4, 2, 4, 2, 10, 14, 4, 2, 12,
10, 2, 4, 6, 6, 2, 10, 2, 6, 4, 18, 2, 4, 2, 4, 8,
6, 10, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 6, 12,
2, 12, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6,
4, 6, 8, 4, 2, 4, 2, 18, 4, 6, 12, 2, 6, 6, 4, 2,
4, 6, 2, 16, 2, 12, 10, 2, 6, 4, 6, 2, 6, 4, 6, 6,
8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 12, 4,
6, 2, 6, 10, 2, 4, 6, 2, 10, 2, 6, 10, 2, 12, 4, 2,
4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 16, 12, 2, 4, 14,
6, 4, 6, 2, 4, 6, 2, 6, 10, 2, 4, 6, 12, 2, 4, 2,
10, 2, 10, 2, 4, 6, 8, 6, 6, 4, 6, 6, 2, 6, 4, 8,
4, 6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6,
4, 2, 10, 2, 6, 4, 2, 4, 2, 22, 2, 4, 2, 4, 8, 6,
4, 2, 4, 12, 2, 10, 12, 6, 8, 6, 4, 2, 4, 8, 6, 10,
6, 6, 2, 12, 4, 6, 6, 2, 6, 4, 2, 4, 2, 12, 10, 2,
6, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 8,
4, 6, 2, 4, 8, 10, 6, 2, 4, 8, 6, 10, 2, 4, 6, 8,
4, 8, 10, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6,
2, 6, 6, 6, 4, 14, 6, 4, 2, 4, 8, 10, 8, 4, 6, 2,
12, 4, 2, 4, 14, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6,
2, 10, 2, 10, 8, 6, 4, 8, 10, 8, 4, 6, 2, 4, 8, 6,
4, 6, 2, 4, 6, 8, 6, 4, 6, 6, 2, 6, 6, 4, 2, 10,
2, 10, 2, 4, 6, 6, 2, 6, 4, 12, 6, 2, 6, 6, 6, 4,
6, 12, 2, 4, 2, 12, 6, 4, 6, 2, 4, 8, 12, 4, 2, 4,
8, 6, 4, 2, 4, 2, 10, 2, 10, 8, 4, 6, 2, 10, 6, 6,
6, 2, 6, 6, 10, 6, 8, 6, 4, 2, 4, 14, 4, 6, 6, 6,
2, 6, 6, 6, 10, 2, 6, 4, 2, 4, 12, 12, 2, 4, 2, 10,
8, 6, 4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4,
8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4,
2, 16, 2, 16, 2, 4, 6, 2, 6, 4, 2, 4, 6, 8, 6, 4,
2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 18, 6, 2, 10, 2, 6,
6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 6, 6, 2, 10,
6, 12, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 6, 14, 10, 2,
4, 6, 2, 6, 6, 6, 4, 6, 2, 6, 4, 8, 10, 2, 10, 6,
2, 4, 6, 8, 4, 2, 16, 8, 4, 2, 6, 4, 6, 12, 2, 4,
2, 12, 6, 4, 6, 6, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4,
2, 10, 2, 10, 2, 4, 6, 6, 2, 6, 6, 4, 6, 8, 6, 4,
2, 6, 4, 6, 8, 4, 2, 10, 8, 6, 4, 8, 10, 8, 10, 2,
10, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 14, 4, 2,
4, 6, 6, 2, 6, 4, 8, 10, 8, 4, 6, 6, 8, 6, 4, 12,
6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 10, 2, 10,
2, 6, 4, 8, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10, 12,
2, 6, 4, 8, 16, 2, 4, 8, 6, 6, 4, 2, 4, 6, 2, 6,
4, 6, 12, 12, 2, 4, 2, 10, 2, 6, 4, 2, 4, 12, 2, 6,
6, 10, 6, 8, 4, 2, 4, 2, 4, 8, 6, 12, 4, 6, 2, 12,
4, 2, 4, 6, 8, 4, 6, 2, 12, 10, 2, 6, 4, 6, 2, 10,
2, 4, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 8,
6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 14, 4, 2, 10,
2, 12, 4, 2, 10, 2, 6, 4, 2, 10, 6, 2, 6, 4, 2, 10,
6, 8, 6, 4, 2, 12, 10, 6, 2, 4, 6, 2, 12, 4, 2, 4,
14, 4, 2, 4, 2, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2,
10, 6, 2, 6, 4, 12, 6, 8, 6, 6, 4, 8, 6, 4, 6, 2,
4, 6, 8, 6, 6, 4, 6, 2, 6, 4, 2, 4, 2, 22, 2, 4,
12, 2, 6, 4, 2, 4, 6, 6, 2, 12, 6, 4, 20, 4, 2, 4,
8, 6, 4, 6, 2, 4, 8, 6, 6, 4, 6, 6, 2, 6, 4, 2,
4, 12, 2, 12, 6, 4, 6, 2, 6, 4, 6, 6, 6, 8, 4, 2,
6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6,
10, 2, 10, 2, 10, 2, 18, 10, 2, 4, 2, 4, 6, 2, 6, 10,
6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 6, 8, 6, 10, 2,
4, 6, 2, 12, 4, 2, 4, 6, 2, 6, 6, 6, 10, 2, 10, 6,
2, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 10, 12, 2,
4, 2, 4, 8, 6, 4, 6, 2, 10, 8, 10, 6, 6, 2, 6, 4,
2, 4, 2, 10, 2, 12, 4, 6, 6, 2, 16, 6, 6, 2, 6, 4,
2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8,
6, 6, 12, 6, 4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 8, 10,
2, 4, 6, 6, 8, 12, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4,
6, 6, 6, 2, 6, 6, 4, 2, 10, 2, 6, 6, 4, 2, 10, 2,
10, 2, 6, 4, 6, 8, 4, 2, 4, 6, 14, 4, 2, 6, 10, 8,
4, 2, 4, 2, 4, 8, 10, 8, 4, 8, 6, 12, 4, 6, 2, 6,
4, 6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 6,
8, 6, 6, 6, 10, 8, 4, 2, 4, 6, 8, 10, 8, 4, 6, 2,
6, 6, 4, 2, 4, 6, 12, 2, 4, 2, 10, 2, 10, 2, 4, 6,
8, 10, 2, 4, 14, 6, 4, 2, 6, 4, 6, 8, 4, 8, 4, 14,
4, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6, 2, 6, 6, 4, 2,
10, 12, 6, 2, 4, 6, 2, 6, 4, 2, 16, 2, 6, 4, 2, 10,
6, 8, 4, 2, 4, 2, 12, 6, 10, 2, 4, 8, 12, 4, 2, 4,
8, 6, 4, 2, 4, 2, 12, 10, 6, 2, 4, 6, 2, 6, 6, 4,
6, 6, 2, 6, 4, 2, 10, 6, 8, 10, 6, 8, 6, 4, 6, 2,
10, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 10, 12, 2, 4,
2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10, 2, 6, 4, 14, 10,
2, 4, 8, 10, 8, 4, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4,
2, 4, 12, 2, 12, 4, 2, 4, 8, 6, 4, 2, 10, 6, 2, 6,
4, 8, 4, 6, 12, 2, 4, 2, 4, 14, 10, 2, 10, 8, 6, 4,
2, 4, 6, 2, 10, 2, 4, 14, 10, 2, 4, 12, 2, 6, 4, 6,
6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 6, 8, 6, 10, 2,
4, 8, 6, 6, 4, 2, 4, 6, 2, 6, 4, 8, 10, 2, 10, 2,
6, 4, 6, 8, 4, 6, 12, 2, 6, 4, 2, 6, 4, 6, 12, 2,
4, 2, 4, 14, 4, 6, 2, 4, 6, 2, 6, 10, 2, 10, 2, 10,
2, 4, 12, 2, 12, 4, 6, 6, 2, 6, 6, 4, 6, 6, 2, 10,
2, 10, 6, 8, 4, 2, 6, 12, 6, 4, 6, 2, 4, 6, 8, 6,
4, 2, 10, 8, 4, 2, 6, 10, 2, 10, 6, 2, 4, 8, 6, 4,
2, 4, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 6, 4, 8,
6, 4, 6, 12, 2, 6, 6, 4, 6, 6, 2, 6, 4, 2, 4, 2,
12, 12, 6, 4, 6, 2, 10, 2, 4, 6, 6, 12, 2, 6, 18, 6,
4, 2, 4, 8, 10, 6, 2, 4, 8, 6, 6, 10, 6, 2, 6, 4,
6, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6,
6, 8, 6, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 12, 6,
2, 6, 10, 2, 4, 6, 8, 6, 6, 10, 2, 10, 2, 4, 2, 4,
6, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 14, 4, 6, 2,
4, 8, 6, 4, 8, 4, 6, 2, 16, 6, 6, 2, 6, 6, 4, 2,
10, 2, 10, 2, 4, 2, 4, 6, 8, 4, 2, 10, 6, 2, 6, 4,
2, 6, 10, 8, 4, 2, 4, 14, 6, 4, 6, 2, 4, 6, 14, 4,
2, 4, 8, 10, 2, 4, 2, 10, 2, 10, 6, 2, 4, 8, 6, 4,
6, 6, 6, 2, 6, 4, 2, 10, 6, 8, 6, 6, 4, 8, 6, 4,
6, 2, 4, 6, 2, 6, 6, 6, 4, 8, 6, 4, 2, 4, 2, 10,
12, 2, 4, 2, 10, 2, 10, 2, 4, 12, 2, 12, 10, 14, 4, 2,
4, 2, 4, 8, 6, 10, 6, 6, 2, 12, 4, 2, 10, 2, 6, 4,
2, 4, 14, 12, 4, 2, 4, 6, 8, 4, 2, 4, 6, 6, 2, 6,
4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 6, 2, 10, 2,
6, 6, 6, 4, 6, 12, 2, 4, 2, 12, 10, 2, 4, 2, 10, 2,
6, 4, 6, 6, 8, 6, 4, 2, 6, 4, 6, 8, 6, 4, 6, 8,
16, 2, 4, 6, 2, 6, 6, 4, 2, 4, 8, 6, 4, 2, 6, 10,
2, 10, 2, 4, 6, 6, 8, 4, 2, 16, 2, 6, 4, 8, 4, 6,
12, 2, 4, 2, 4, 14, 4, 6, 2, 4, 6, 8, 10, 2, 4, 6,
2, 6, 4, 2, 4, 2, 10, 2, 10, 6, 6, 6, 2, 6, 6, 10,
6, 2, 6, 6, 6, 4, 6, 12, 2, 6, 4, 8, 6, 4, 6, 2,
4, 14, 6, 4, 2, 10, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2,
6, 4, 8, 6, 10, 6, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2,
4, 6, 14, 4, 6, 12, 2, 6, 6, 4, 2, 10, 2, 6, 4, 2,
4, 12, 12, 2, 6, 4, 6, 2, 6, 6, 4, 6, 6, 12, 2, 6,
10, 8, 4, 6, 2, 4, 8, 10, 8, 4, 8, 6, 6, 4, 2, 4,
6, 2, 6, 4, 8, 10, 2, 10, 6, 2, 4, 8, 6, 4, 2, 4,
6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 12,
10, 2, 6, 6, 4, 6, 6, 8, 4, 2, 4, 12, 2, 12, 4, 2,
10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 6, 4, 14, 4, 6, 2,
4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 10, 6, 2, 6, 10,
2, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 2, 10, 6, 8, 4,
2, 6, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6, 6, 6, 2,
12, 4, 2, 4, 8, 12, 4, 2, 10, 2, 16, 2, 4, 6, 2, 6,
4, 2, 4, 6, 8, 6, 4, 2, 10, 6, 8, 6, 4, 2, 12, 6,
4, 8, 4, 6, 2, 6, 12, 4, 6, 8, 4, 2, 4, 2, 10, 12,
2, 4, 2, 10, 8, 4, 2, 4, 6, 6, 2, 10, 8, 18, 4, 2,
10, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2,
10, 2, 4, 14, 12, 4, 2, 4, 8, 6, 4, 2, 4, 6, 6, 2,
10, 2, 6, 4, 6, 8, 6, 6, 4, 14, 4, 6, 2, 10, 2, 6,
6, 4, 6, 6, 2, 10, 2, 4, 2, 22, 2, 4, 2, 4, 6, 2,
6, 4, 6, 12, 8, 4, 2, 10, 6, 8, 4, 2, 4, 6, 8, 6,
10, 2, 4, 6, 2, 16, 2, 4, 6, 2, 6, 4, 2, 6, 12, 10,
2, 4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 6, 4, 2, 6, 4,
18, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 16, 2, 4, 6,
8, 6, 4, 2, 10, 2, 10, 2, 4, 12, 2, 6, 6, 4, 6, 6,
2, 6, 4, 2, 6, 10, 8, 6, 6, 4, 8, 10, 6, 2, 4, 6,
8, 6, 4, 2, 12, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2,
4, 8, 6, 4, 12, 6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4,
2, 4, 8, 6, 4, 6, 6, 6, 8, 6, 4, 2, 4, 8, 6, 4,
2, 4, 2, 10, 2, 10, 2, 10, 6, 2, 10, 2, 4, 6, 6, 8,
6, 6, 10, 12, 2, 4, 2, 4, 8, 10, 6, 6, 8, 6, 6, 4,
2, 10, 2, 6, 4, 6, 2, 10, 2, 10, 2, 6, 4, 6, 8, 4,
6, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14,
4, 8, 4, 6, 2, 6, 6, 6, 10, 8, 4, 2, 4, 12, 2, 10,
2, 4, 2, 4, 6, 2, 12, 4, 6, 8, 10, 2, 6, 4, 6, 8,
4, 6, 2, 4, 8, 10, 6, 2, 4, 6, 2, 6, 6, 4, 6, 6,
2, 6, 6, 6, 10, 2, 10, 6, 6, 6, 2, 6, 4, 2, 16, 2,
6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 18, 4, 6, 2, 10,
2, 12, 4, 6, 8, 6, 4, 2, 4, 2, 10, 2, 16, 2, 4, 6,
2, 10, 2, 10, 6, 2, 6, 4, 2, 10, 14, 6, 4, 2, 4, 8,
6, 4, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 6, 4, 6, 2,
10, 12, 2, 4, 2, 10, 2, 6, 6, 4, 6, 6, 12, 2, 6, 4,
14, 4, 2, 4, 14, 6, 4, 6, 12, 2, 6, 6, 4, 2, 4, 6,
2, 6, 6, 4, 12, 14, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6,
8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 4, 14, 4, 8, 10,
2, 6, 10, 2, 4, 6, 2, 10, 2, 4, 2, 12, 10, 2, 4, 2,
4, 14, 4, 6, 6, 6, 2, 6, 4, 2, 6, 10, 12, 2, 4, 6,
8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2,
16, 2, 10, 2, 4, 2, 18, 4, 2, 4, 12, 2, 6, 4, 2, 6,
4, 6, 12, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6, 10,
2, 4, 6, 2, 6, 4, 6, 2, 10, 12, 2, 10, 6, 2, 6, 6,
4, 12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 6, 4, 8, 6, 10,
2, 4, 6, 14, 4, 2, 10, 2, 10, 2, 4, 2, 12, 12, 4, 2,
4, 8, 6, 4, 2, 4, 6, 6, 2, 6, 4, 12, 6, 8, 4, 6,
2, 12, 6, 4, 6, 6, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4,
2, 4, 2, 10, 2, 10, 2, 6, 10, 2, 6, 4, 2, 4, 6, 6,
8, 4, 8, 10, 8, 6, 6, 4, 8, 10, 6, 2, 4, 8, 6, 6,
4, 2, 4, 8, 6, 4, 6, 2, 12, 10, 2, 4, 2, 4, 6, 2,
6, 4, 2, 10, 6, 2, 18, 4, 6, 8, 6, 4, 2, 4, 8, 6,
4, 8, 4, 6, 8, 6, 4, 6, 6, 8, 4, 2, 4, 2, 10, 2,
10, 2, 4, 6, 6, 2, 10, 2, 4, 6, 14, 6, 6, 4, 6, 12,
6, 2, 4, 8, 6, 4, 6, 2, 4, 8, 6, 10, 6, 6, 2, 6,
6, 6, 10, 2, 10, 2, 6, 4, 6, 2, 6, 4, 12, 6, 2, 6,
4, 2, 6, 4, 14, 4, 2, 4, 2, 18, 4, 6, 2, 4, 6, 2,
12, 4, 2, 12, 6, 6, 4, 12, 2, 10, 6, 2, 4, 6, 2, 6,
6, 4, 6, 6, 2, 10, 2, 16, 8, 6, 4, 2, 4, 8, 6, 4,
6, 2, 4, 6, 8, 6, 6, 4, 6, 2, 6, 4, 2, 6, 10, 12,
6, 2, 10, 2, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4, 14, 4,
2, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 6, 6, 4, 6, 8,
6, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 2, 10, 2, 4, 6,
6, 2, 6, 6, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 6, 12,
2, 6, 6, 6, 10, 2, 10, 6, 2, 12, 10, 2, 4, 2, 4, 6,
8, 4, 6, 6, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 4, 14,
6, 10, 6, 6, 2, 6, 6, 6, 4, 6, 2, 6, 6, 6, 10, 2,
10, 2, 4, 2, 4, 6, 8, 4, 2, 4, 14, 6, 4, 2, 6, 4,
6, 12, 2, 4, 2, 4, 8, 10, 8, 4, 6, 2, 6, 10, 2, 4,
6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4, 6, 6, 8, 6,
4, 12, 2, 6, 4, 2, 6, 10, 8, 4, 2, 10, 14, 4, 6, 2,
4, 6, 8, 6, 4, 2, 10, 2, 10, 2, 4, 2, 10, 2, 10, 6,
2, 4, 8, 6, 4, 2, 10, 6, 2, 6, 4, 8, 4, 6, 8, 4,
2, 6, 4, 8, 6, 4, 6, 6, 8, 6, 6, 4, 2, 4, 6, 2,
6, 4, 2, 4, 2, 10, 12, 2, 6, 4, 6, 2, 6, 6, 4, 12,
8, 4, 2, 16, 8, 4, 2, 4, 6, 8, 16, 2, 12, 12, 4, 2,
4, 6, 2, 6, 4, 6, 2, 22, 2, 4, 2, 4, 6, 2, 6, 4,
2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 6, 2, 4, 8,
6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4, 6, 8, 4, 2, 4,
2, 10, 2, 10, 2, 4, 2, 12, 10, 2, 4, 6, 8, 6, 4, 2,
6, 4, 6, 18, 2, 4, 8, 16, 2, 4, 6, 2, 6, 6, 4, 6,
8, 6, 6, 4, 12, 2, 10, 2, 4, 2, 10, 2, 6, 4, 2, 10,
6, 2, 6, 4, 8, 4, 6, 8, 4, 2, 4, 2, 12, 6, 4, 6,
2, 4, 6, 14, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 10, 12,
6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6, 10, 6, 14, 4, 2,
4, 8, 6, 4, 6, 2, 4, 8, 6, 6, 6, 4, 6, 2, 10, 2,
4, 2, 10, 14, 6, 10, 2, 6, 4, 6, 6, 6, 2, 10, 2, 10,
14, 4, 2, 4, 2, 18, 4, 6, 2, 4, 6, 2, 6, 6, 4, 2,
10, 8, 4, 2, 4, 12, 2, 12, 4, 2, 4, 6, 2, 6, 6, 4,
6, 6, 2, 10, 8, 4, 6, 8, 4, 2, 6, 4, 14, 4, 6, 2,
10, 2, 6, 6, 4, 2, 4, 6, 2, 10, 2, 6, 12, 10, 6, 2,
4, 6, 2, 6, 4, 6, 6, 6, 2, 10, 2, 6, 4, 6, 8, 6,
4, 6, 8, 6, 10, 2, 10, 2, 6, 6, 4, 6, 6, 2, 6, 4,
2, 6, 10, 2, 12, 4, 2, 4, 6, 12, 2, 4, 12, 8, 4, 2,
6, 4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 6, 2, 6,
12, 4, 6, 2, 6, 4, 8, 10, 2, 10, 2, 4, 6, 6, 2, 6,
6, 4, 6, 6, 8, 4, 2, 6, 4, 14, 4, 2, 6, 12, 6, 4,
6, 6, 6, 14, 4, 2, 10, 2, 6, 6, 4, 2, 10, 2, 10, 2,
4, 2, 4, 8, 6, 4, 2, 4, 6, 8, 6, 4, 8, 10, 8, 4,
2, 4, 2, 4, 8, 6, 4, 12, 6, 8, 10, 2, 4, 6, 2, 6,
4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 8, 4, 6, 6, 6,
8, 4, 2, 6, 10, 8, 4, 2, 4, 6, 8, 10, 6, 2, 4, 8,
6, 6, 4, 2, 4, 8, 10, 6, 2, 10, 2, 10, 2, 4, 2, 4,
8, 10, 2, 4, 6, 6, 2, 6, 6, 6, 4, 6, 8, 4, 2, 6,
4, 8, 6, 4, 12, 6, 2, 6, 6, 4, 2, 10, 8, 4, 2, 4,
2, 10, 12, 2, 4, 2, 4, 6, 12, 2, 4, 14, 6, 4, 2, 10,
6, 8, 4, 6, 2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 10, 6,
2, 6, 6, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 2,
10, 8, 6, 4, 2, 6, 4, 6, 8, 4, 6, 2, 12, 10, 6, 2,
4, 6, 2, 12, 4, 2, 4, 14, 4, 2, 4, 2, 10, 2, 10, 6,
12, 2, 6, 4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 8, 6, 4,
2, 4, 18, 6, 2, 4, 6, 2, 6, 6, 6, 4, 8, 6, 4, 2,
4, 2, 10, 12, 6, 2, 10, 2, 6, 4, 2, 10, 6, 2, 10, 8,
4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4, 14, 6, 4,
2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 12, 4, 6, 6, 2, 6,
6, 4, 6, 6, 2, 6, 6, 6, 4, 6, 12, 2, 4, 6, 14, 4,
6, 2, 12, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 2, 22, 2,
6, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6,
8, 4, 6, 6, 14, 12, 4, 6, 2, 6, 6, 4, 2, 10, 2, 6,
4, 2, 16, 2, 10, 2, 4, 2, 4, 14, 6, 4, 12, 2, 10, 2,
6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 10, 2, 4, 6, 2, 6,
10, 2, 4, 6, 2, 6, 4, 2, 16, 2, 10, 6, 12, 2, 6, 6,
4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6, 4, 8,
6, 4, 6, 2, 10, 8, 6, 4, 12, 2, 6, 4, 6, 2, 10, 2,
12, 6, 4, 8, 10, 2, 4, 6, 6, 2, 6, 4, 8, 4, 14, 4,
2, 4, 2, 4, 8, 6, 4, 6, 6, 6, 2, 6, 6, 6, 4, 6,
2, 10, 6, 2, 10, 2, 12, 6, 4, 6, 2, 6, 4, 2, 4, 6,
6, 8, 4, 2, 16, 8, 4, 2, 4, 2, 12, 10, 6, 6, 8, 6,
6, 4, 2, 4, 6, 8, 10, 2, 10, 2, 10, 2, 4, 2, 4, 6,
2, 6, 4, 2, 4, 6, 8, 6, 12, 4, 6, 8, 4, 2, 6, 4,
8, 6, 4, 8, 4, 6, 2, 6, 10, 2, 4, 6, 8, 4, 2, 4,
2, 12, 10, 2, 4, 2, 4, 6, 12, 2, 4, 6, 8, 10, 2, 6,
10, 8, 10, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 4, 6,
6, 2, 12, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8, 6, 4, 2,
10, 6, 8, 4, 2, 6, 4, 6, 8, 4, 2, 6, 12, 6, 4, 6,
2, 4, 6, 2, 16, 2, 4, 8, 6, 4, 2, 6, 10, 12, 6, 2,
4, 6, 2, 6, 4, 2, 4, 12, 2, 6, 4, 2, 10, 14, 6, 4,
2, 4, 8, 6, 10, 2, 4, 6, 2, 12, 6, 4, 6, 2, 6, 6,
4, 2, 22, 2, 4, 2, 10, 2, 6, 4, 2, 4, 6, 6, 2, 10,
2, 6, 18, 4, 6, 2, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6,
4, 2, 4, 6, 8, 4, 2, 4, 12, 2, 12, 4, 2, 10, 2, 6,
4, 6, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 6, 4, 2, 4,
18, 6, 2, 10, 2, 6, 6, 4, 2, 4, 8, 10, 2, 4, 2, 12,
10, 2, 4, 2, 4, 6, 2, 10, 12, 6, 2, 6, 12, 4, 6, 8,
4, 2, 4, 6, 8, 6, 10, 6, 6, 8, 6, 4, 2, 10, 2, 6,
4, 2, 6, 10, 2, 10, 2, 4, 6, 6, 8, 4, 2, 4, 12, 2,
6, 6, 6, 4, 6, 12, 2, 4, 2, 4, 8, 6, 4, 6, 2, 4,
8, 6, 12, 4, 6, 2, 6, 4, 2, 4, 2, 10, 2, 10, 2, 10,
6, 2, 6, 10, 6, 8, 6, 4, 2, 6, 4, 6, 8, 4, 2, 6,
4, 18, 6, 2, 4, 6, 8, 6, 4, 2, 10, 2, 6, 4, 2, 4,
12, 2, 10, 2, 4, 6, 8, 6, 6, 4, 12, 2, 10, 8, 4, 6,
8, 4, 2, 4, 2, 4, 14, 4, 6, 6, 6, 2, 6, 6, 4, 2,
4, 6, 2, 6, 4, 2, 6, 10, 2, 10, 8, 4, 6, 2, 6, 4,
2, 10, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 8, 10,
6, 2, 12, 6, 6, 4, 6, 6, 2, 6, 4, 6, 2, 10, 2, 12,
4, 2, 4, 6, 2, 12, 4, 6, 6, 2, 6, 6, 6, 4, 14, 4,
2, 4, 6, 8, 6, 4, 8, 10, 2, 6, 6, 6, 4, 6, 8, 4,
6, 2, 10, 12, 2, 4, 2, 4, 6, 2, 10, 2, 4, 6, 14, 4,
2, 6, 4, 6, 8, 4, 6, 2, 12, 6, 4, 12, 6, 2, 6, 6,
4, 6, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 4, 2, 4, 8,
6, 4, 2, 10, 8, 6, 4, 2, 6, 4, 6, 12, 2, 4, 2, 12,
6, 12, 4, 6, 2, 16, 2, 4, 8, 6, 4, 2, 4, 12, 2, 10,
6, 2, 10, 8, 4, 2, 4, 6, 6, 2, 6, 4, 2, 16, 8, 6,
4, 6, 8, 6, 4, 6, 2, 4, 6, 2, 6, 6, 6, 4, 6, 2,
10, 6, 2, 10, 12, 2, 6, 12, 6, 4, 2, 4, 6, 6, 2, 10,
2, 6, 4, 14, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 2,
6, 6, 4, 2, 4, 6, 2, 10, 2, 4, 12, 14, 4, 2, 4, 6,
2, 6, 4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 8, 4, 2, 4,
2, 18, 10, 2, 10, 2, 12, 4, 2, 4, 6, 12, 2, 4, 2, 12,
10, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6, 6, 2, 6, 4, 8,
4, 6, 8, 4, 12, 8, 6, 10, 2, 4, 6, 2, 6, 6, 4, 2,
4, 6, 8, 4, 2, 6, 12, 10, 2, 4, 2, 10, 8, 4, 2, 4,
12, 2, 10, 2, 6, 4, 6, 14, 4, 2, 4, 8, 10, 6, 2, 4,
6, 2, 6, 10, 6, 8, 6, 4, 2, 4, 2, 10, 2, 10, 2, 4,
6, 6, 2, 6, 6, 10, 6, 8, 4, 8, 4, 6, 8, 4, 2, 6,
4, 8, 6, 4, 6, 2, 4, 6, 8, 10, 2, 10, 2, 6, 4, 2,
6, 10, 2, 10, 2, 4, 6, 8, 6, 4, 2, 4, 6, 6, 2, 6,
12, 4, 18, 2, 4, 2, 4, 8, 6, 4, 6, 6, 8, 12, 4, 2,
4, 6, 2, 6, 6, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 6,
4, 6, 6, 6, 8, 4, 2, 6, 10, 8, 4, 2, 4, 2, 4, 18,
6, 2, 4, 14, 6, 4, 2, 10, 2, 6, 4, 6, 12, 2, 10, 2,
4, 2, 4, 6, 2, 6, 10, 6, 6, 2, 12, 6, 4, 6, 8, 4,
2, 4, 2, 4, 8, 6, 4, 8, 4, 6, 2, 6, 6, 4, 2, 4,
14, 4, 2, 6, 10, 2, 10, 6, 2, 4, 6, 2, 10, 2, 4, 6,
8, 6, 6, 6, 4, 6, 8, 4, 6, 2, 4, 8, 6, 4, 6, 12,
2, 6, 6, 4, 12, 2, 6, 6, 4, 2, 10, 2, 12, 4, 2, 4,
6, 12, 2, 10, 6, 2, 6, 4, 2, 6, 4, 14, 4, 2, 4, 2,
12, 6, 4, 6, 2, 4, 6, 2, 12, 6, 4, 8, 6, 4, 6, 2,
10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 14, 4, 2,
10, 6, 8, 6, 4, 2, 12, 10, 6, 6, 6, 2, 6, 6, 6, 4,
6, 2, 6, 6, 4, 2, 10, 12, 2, 4, 12, 2, 6, 4, 2, 4,
14, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 14, 4, 8, 4, 6,
2, 6, 10, 2, 4, 6, 2, 6, 4, 2, 4, 12, 2, 16, 2, 4,
6, 8, 4, 2, 10, 6, 2, 6, 4, 2, 6, 10, 8, 4, 2, 4,
6, 14, 4, 6, 2, 12, 6, 6, 4, 2, 4, 6, 2, 10, 2, 4,
2, 12, 10, 2, 4, 2, 4, 8, 6, 10, 6, 6, 2, 6, 4, 2,
6, 4, 6, 8, 4, 2, 10, 8, 6, 10, 2, 10, 2, 6, 6, 4,
2, 4, 6, 2, 6, 4, 2, 6, 10, 12, 2, 4, 2, 4, 6, 8,
4, 2, 4, 12, 2, 6, 4, 2, 10, 6, 12, 6, 2, 4, 8, 6,
12, 4, 6, 2, 16, 2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10,
2, 4, 6, 8, 6, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6,
12, 8, 4, 8, 6, 10, 2, 4, 6, 8, 6, 4, 2, 10, 8, 4,
2, 4, 12, 2, 10, 2, 4, 2, 12, 6, 4, 2, 4, 6, 6, 2,
6, 4, 8, 4, 6, 8, 6, 4, 2, 4, 8, 10, 6, 6, 6, 2,
6, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2, 10, 2, 6, 4,
6, 2, 6, 4, 2, 10, 6, 8, 4, 8, 10, 8, 4, 2, 4, 2,
4, 8, 10, 6, 2, 4, 14, 6, 4, 2, 4, 6, 2, 10, 6, 2,
10, 2, 12, 4, 6, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 6,
10, 6, 12, 2, 4, 2, 12, 6, 4, 8, 4, 8, 6, 6, 4, 2,
4, 6, 8, 4, 2, 4, 2, 10, 2, 10, 2, 6, 4, 6, 2, 10,
6, 6, 8, 6, 4, 8, 4, 6, 8, 4, 8, 4, 14, 4, 6, 2,
4, 6, 2, 6, 6, 4, 12, 2, 6, 6, 4, 14, 10, 2, 4, 2,
4, 6, 2, 6, 6, 10, 6, 2, 10, 2, 6, 4, 6, 8, 6, 4,
2, 12, 6, 4, 6, 2, 4, 6, 2, 12, 4, 6, 8, 6, 4, 2,
6, 10, 2, 10, 6, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8,
4, 2, 10, 6, 8, 6, 4, 2, 4, 8, 6, 4, 6, 2, 10, 2,
6, 16, 6, 2, 6, 4, 2, 6, 10, 14, 4, 2, 10, 2, 10, 2,
4, 6, 6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6,
4, 6, 2, 4, 6, 2, 12, 6, 4, 6, 2, 6, 10, 12, 2, 12,
4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 8, 4, 2, 6, 10,
8, 4, 2, 4, 2, 18, 4, 6, 12, 8, 6, 4, 2, 4, 6, 2,
12, 4, 2, 12, 10, 2, 4, 2, 4, 6, 2, 6, 4, 6, 6, 8,
6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 6, 8, 6, 12, 4, 6,
2, 6, 10, 2, 4, 8, 6, 4, 2, 6, 10, 2, 10, 2, 4, 2,
4, 6, 12, 2, 4, 12, 2, 6, 6, 6, 10, 12, 2, 4, 6, 8,
6, 4, 6, 6, 6, 2, 6, 10, 2, 10, 2, 10, 2, 4, 2, 10,
2, 10, 2, 4, 6, 14, 6, 4, 6, 6, 2, 6, 4, 2, 6, 4,
6, 8, 4, 2, 6, 4, 8, 6, 4, 6, 2, 4, 6, 8, 6, 6,
10, 2, 6, 4, 2, 4, 2, 10, 12, 2, 4, 2, 4, 8, 6, 4,
2, 4, 14, 6, 4, 12, 6, 8, 4, 2, 4, 2, 4, 8, 16, 6,
6, 2, 12, 4, 2, 4, 6, 2, 6, 4, 2, 4, 2, 12, 10, 2,
10, 6, 2, 6, 4, 2, 4, 12, 8, 4, 2, 6, 10, 8, 4, 6,
2, 4, 18, 6, 2, 4, 8, 6, 6, 4, 2, 4, 6, 8, 4, 6,
2, 10, 2, 10, 6, 2, 10, 2, 6, 4, 2, 10, 6, 2, 6, 6,
6, 4, 6, 8, 6, 4, 2, 4, 8, 10, 8, 4, 8, 6, 6, 4,
2, 4, 14, 4, 2, 4, 2, 10, 2, 10, 2, 4, 2, 4, 6, 2,
12, 10, 8, 6, 4, 8, 4, 6, 8, 4, 6, 6, 8, 6, 4, 6,
2, 10, 8, 6, 4, 6, 6, 2, 6, 6, 4, 2, 10, 12, 2, 4,
6, 6, 2, 6, 4, 2, 10, 6, 2, 6, 6, 6, 4, 6, 12, 6,
2, 12, 6, 4, 8, 4, 8, 12, 4, 2, 4, 8, 6, 4, 2, 4,
2, 10, 2, 10, 8, 4, 8, 6, 4, 6, 6, 6, 2, 6, 4, 2,
10, 6, 14, 4, 2, 4, 14, 10, 2, 4, 6, 2, 6, 6, 6, 10,
2, 6, 4, 2, 4, 12, 12, 2, 4, 2, 10, 2, 6, 6, 4, 6,
6, 2, 10, 2, 6, 4, 14, 4, 2, 4, 2, 4, 8, 6, 4, 6,
2, 4, 6, 2, 6, 6, 4, 2, 4, 6, 2, 6, 4, 18, 2, 18
};
#endif
/* --------------- Bitset or char array --------------- */
#ifdef USE_BITSET
typedef unsigned char bitset_t;
typedef bitset_t sieve_t;
#define IS_PRIME(sieve, i) (bittest(sieve, i) == 0)
#define SET_NONPRIME(sieve, i) (bitset(sieve, i))
#define SIEVE_SIZE (PRIME_LIMIT / (sizeof(bitset_t) * 8) + 1)
#define BITS_PER_INDEX (sizeof(bitset_t) * 8)
#else
typedef unsigned char sieve_t;
#define IS_PRIME(sieve, i) (sieve[i] == 0)
#define SET_NONPRIME(sieve, i) (sieve[i] = 1)
#define SIEVE_SIZE (PRIME_LIMIT)
#endif
#ifdef USE_BITSET
/* Because bitset comprises 3 operations:
* 1. Read array[bitset_index] into 'temp'
* 2. Set bit (bit_index) on 'temp'
* 3. Write 'temp' into array[bitset_index]
* A thread running bitset can be preempted before it can write 'temp', during
* which time another thread has written 'array[bitset_index]', and 'temp' does
* not include the changes made by that thread. Thus, the preempted thread
* overwrites the changes made by the other thread when it executes step 3.
*
* To avoid this, I use the GCC extension '__sync_bool_compare_and_swap' which
* does an atomic compare and swap with 'oldval' (the initial value of
* array[bitset_index]) and 'newval' ('oldval' with the relevant bit set on it)
* and returns true if the operation succeeded and false if it doesn't.
*
* Thus, I just use it in a do while loop and keep trying the operation until
* it succeeds.
*/
void bitset(unsigned char * array, int index){
int newval;
int oldval;
int bitset_index = index / BITS_PER_INDEX;
int bit_index = index % BITS_PER_INDEX;
do{
oldval = array[bitset_index];
newval = oldval | (1 << (bit_index));
}while(!__sync_bool_compare_and_swap(&array[bitset_index], oldval, newval));
}
/* Bittest is run in a single threaded environment, so there are no worries
* about synchronising.
*/
int bittest(unsigned char * array, int64_t index){
return array[index / BITS_PER_INDEX] & (1 << (index % BITS_PER_INDEX));
}
#endif
/* --------------- Select what to print --------------- */
#ifdef PRINT_ALL
#define PRINT_TIME
#define PRINT_COUNT
#define PRINT_SUM
#define PRINT_LAST_10
#endif
/* --------------- Whether to cache multipe wheel calls --------------- */
#ifdef USE_WHEEL_CACHE
int wheel_cache[WHEEL_LEN] = {0};
void * init_wheel_cache(void * args){
int thread_id, num_threads;
if(args != NULL){
thread_id = ((struct prime_stats_t *)args)->thread_id;
num_threads = NUM_THREADS;
}else{
thread_id = 0;
num_threads = 1;
}
int index;
for(index = thread_id; index < WHEEL_LEN; index += num_threads){
int sum = 0;
int i;
for(i = 0; i < NUM_THREADS; i++){
sum += wheel[(index + i) % WHEEL_LEN];
}
wheel_cache[index] = sum;
}
return NULL;
}
inline int multiple_from_wheel(int * index){
int increment = wheel_cache[*index];
*index = (*index + NUM_THREADS) % WHEEL_LEN;
return increment;
}
#else
inline int multiple_from_wheel(int * index){
int increment = 0;
int i;
for(i = 0; i < NUM_THREADS; i++){
increment += wheel[(*index + i) % WHEEL_LEN];
}
*index = (*index + NUM_THREADS) % WHEEL_LEN;
return increment;
}
#endif
/* --------------- Everything else... --------------- */
sieve_t sieve[SIEVE_SIZE] = {0};
inline int next_from_wheel(int * index){
int temp = wheel[*index];
*index = (*index + 1) % WHEEL_LEN;
return temp;
}
inline int64_t wheel_product(int upto){
int64_t product = 1;
int i;
for(i = 2; i <= upto; i++){
product *= i;
}
return product;
}
/* inline int64_t gcd(int64_t a, int64_t b){ */
/* while(b){ */
/* int64_t temp = a%b; */
/* a = b; */
/* b = temp; */
/* } */
/* return a; */
/* } */
void * compute_primes(void * args){
struct prime_stats_t * stats = (struct prime_stats_t *)args;
int thread_id = stats->thread_id;
#ifdef USE_WHEEL_CACHE
init_wheel_cache(stats);
pthread_barrier_wait(stats->barrier);
#endif
int i;
/* ---------- Set start position ---------- */
int initial_index;
int wheel_index = 0;
int64_t start = START_PRIME;
for(i = 0; i < thread_id; i++){
start += next_from_wheel(&wheel_index);
}
initial_index = wheel_index;
/* ---------- Sieve ---------- */
int64_t sieving_num = start;
while(sieving_num * sieving_num <= PRIME_LIMIT){
int sieve_wheel_index = wheel_index;
int64_t multiple = sieving_num;
while(sieving_num * multiple <= PRIME_LIMIT){
SET_NONPRIME(sieve, sieving_num * multiple);
multiple += next_from_wheel(&sieve_wheel_index);
}
sieving_num += multiple_from_wheel(&wheel_index);
}
/* ---------- Wait for all threads to finish ---------- */
// I want to change this so as soon as a thread is finished,
// it can start on the next section (safely)
pthread_barrier_wait(stats->barrier);
/* ---------- Find count and sum and list of primes ---------- */
int64_t count = 0;
int64_t sum = 0;
int64_t index;
stats->primes_arr = (primes_t *) malloc(sizeof(primes_t) * ((PRIME_LIMIT / NUM_THREADS) + 1));
wheel_index = initial_index;
for(index = start; index <= PRIME_LIMIT; index += multiple_from_wheel(&wheel_index)){
if(IS_PRIME(sieve, index)){
sum += index;
count++;
}
}
stats->sum = sum;
stats->count = count;
return NULL;
}
int main(void){
pthread_t threads[NUM_THREADS];
struct prime_stats_t stats[NUM_THREADS];
/* ---------- Start timing ---------- */
time_t start = time(NULL);
/* ---------- Initialize the barrier ---------- */
pthread_barrier_t barrier;
pthread_barrier_init(&barrier, NULL, NUM_THREADS);
/* ---------- Create and run threads ---------- */
int i;
for(i = 0; i < NUM_THREADS; i++){
stats[i].thread_id = i;
stats[i].barrier = &barrier;
pthread_create(&threads[i], NULL, &compute_primes, &stats[i]);
}
/* ---------- Wait for threads to finish ---------- */
for(i = 0; i < NUM_THREADS; i++){
pthread_join(threads[i], NULL);
}
/* ---------- Collate Data ---------- */
int count = WHEEL_COUNT;
int64_t sum = WHEEL_SUM;
for(i = 0; i < NUM_THREADS; i++){
count += stats[i].count;
sum += stats[i].sum;
}
/* ---------- Finish timing ---------- */
time_t end = time(NULL);
/* ---------- Print time, count, sum ---------- */
#ifdef PRINT_TIME
printf("Time: %ld\n", end - start);
#endif
#ifdef PRINT_COUNT
printf("Count: %d\n", count);
#endif
#ifdef PRINT_SUM
printf("Sum: %ld\n", sum);
#endif
/* ---------- Find last 10 primes ---------- */
int last_ten_counter = 0;
int last_ten_primes[10];
for(i = PRIME_LIMIT - 1; i >= 0 && last_ten_counter < 10; i-=1){
if(IS_PRIME(sieve, i) && i % 2 != 0 && i % 3 != 0 && i % 5 != 0 && i % 7 != 0){
last_ten_counter++;
last_ten_primes[10 - last_ten_counter] = i;
}
}
/* ---------- Print last 10 primes ---------- */
#ifdef PRINT_LAST_10
printf("Last 10 Primes:\n");
for(i = 0; i < 10; i++){
printf("%d\n", last_ten_primes[i]);
}
#endif
return 0;
}
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