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-rw-r--r--contrib/intarray/Makefile12
-rw-r--r--contrib/intarray/README.intarray100
-rw-r--r--contrib/intarray/_int.c2219
-rw-r--r--contrib/intarray/_int.sql.in437
-rwxr-xr-xcontrib/intarray/bench/bench.pl104
-rwxr-xr-xcontrib/intarray/bench/create_test.pl73
-rw-r--r--contrib/intarray/data/test__int.data7000
-rw-r--r--contrib/intarray/expected/_int.out377
-rw-r--r--contrib/intarray/sql/_int.sql84
9 files changed, 0 insertions, 10406 deletions
diff --git a/contrib/intarray/Makefile b/contrib/intarray/Makefile
deleted file mode 100644
index 7cb06da2ac8..00000000000
--- a/contrib/intarray/Makefile
+++ /dev/null
@@ -1,12 +0,0 @@
-# $Header: /cvsroot/pgsql/contrib/intarray/Makefile,v 1.8 2001/09/06 10:49:29 petere Exp $
-
-subdir = contrib/intarray
-top_builddir = ../..
-include $(top_builddir)/src/Makefile.global
-
-MODULES = _int
-DATA_built = _int.sql
-DOCS = README.intarray
-REGRESS = _int
-
-include $(top_srcdir)/contrib/contrib-global.mk
diff --git a/contrib/intarray/README.intarray b/contrib/intarray/README.intarray
deleted file mode 100644
index f0138a14842..00000000000
--- a/contrib/intarray/README.intarray
+++ /dev/null
@@ -1,100 +0,0 @@
-This is an implementation of RD-tree data structure using GiST interface
-of PostgreSQL. It has built-in lossy compression.
-
-Current implementation provides index support for one-dimensional array of
-int4's - gist__int_ops, suitable for small and medium size of arrays (used on
-default), and gist__intbig_ops for indexing large arrays (we use superimposed
-signature with length of 4096 bits to represent sets).
-
-All work was done by Teodor Sigaev (teodor@stack.net) and Oleg Bartunov
-(oleg@sai.msu.su). See http://www.sai.msu.su/~megera/postgres/gist
-for additional information.
-
-CHANGES:
-
-October 1, 2001
- 1. Change search method in array to binary
-September 28, 2001
- 1. gist__int_ops now is without lossy
- 2. add sort entry in picksplit
-September 21, 2001
- 1. Added support for boolean query (indexable operator @@, looks like
- a @@ '1|(2&3)', perfomance is better in any case )
- 2. Done some small optimizations
-March 19, 2001
- 1. Added support for toastable keys
- 2. Improved split algorithm for intbig (selection speedup is about 30%)
-
-INSTALLATION:
-
- gmake
- gmake install
- -- load functions
- psql <database> < _int.sql
-
-REGRESSION TEST:
-
- gmake installcheck
-
-EXAMPLE USAGE:
-
- create table message (mid int not null,sections int[]);
- create table message_section_map (mid int not null,sid int not null);
-
- -- create indices
-CREATE unique index message_key on message ( mid );
-CREATE unique index message_section_map_key2 on message_section_map (sid, mid );
-CREATE INDEX message_rdtree_idx on message using gist ( sections gist__int_ops);
-
- -- select some messages with section in 1 OR 2 - OVERLAP operator
- select message.mid from message where message.sections && '{1,2}';
-
- -- select messages contains in sections 1 AND 2 - CONTAINS operator
- select message.mid from message where message.sections @ '{1,2}';
- -- the same, CONTAINED operator
- select message.mid from message where '{1,2}' ~ message.sections;
-
-BENCHMARK:
-
- subdirectory bench contains benchmark suite.
- cd ./bench
- 1. createdb TEST
- 2. psql TEST < ../_int.sql
- 3. ./create_test.pl | psql TEST
- 4. ./bench.pl - perl script to benchmark queries, supports OR, AND queries
- with/without RD-Tree. Run script without arguments to
- see availbale options.
-
- a)test without RD-Tree (OR)
- ./bench.pl -d TEST -s 1,2 -v
- b)test with RD-Tree
- ./bench.pl -d TEST -s 1,2 -v -r
-
-BENCHMARKS:
-
-Size of table <message>: 200000
-Size of table <message_section_map>: 268538
-
-Distribution of messages by sections:
-
-section 0: 73899 messages
-section 1: 16298 messages
-section 50: 1241 messages
-section 99: 705 messages
-
-old - without RD-Tree support,
-new - with RD-Tree
-
-+----------+---------------+----------------+
-|Search set|OR, time in sec|AND, time in sec|
-| +-------+-------+--------+-------+
-| | old | new | old | new |
-+----------+-------+-------+--------+-------+
-| 1| 1.427| 0.215| -| -|
-+----------+-------+-------+--------+-------+
-| 99| 1.029| 0.018| -| -|
-+----------+-------+-------+--------+-------+
-| 1,2| 1.829| 0.334| 5.654| 0.042|
-+----------+-------+-------+--------+-------+
-| 1,2,50,60| 2.057| 0.359| 5.044| 0.007|
-+----------+-------+-------+--------+-------+
diff --git a/contrib/intarray/_int.c b/contrib/intarray/_int.c
deleted file mode 100644
index d956543af5f..00000000000
--- a/contrib/intarray/_int.c
+++ /dev/null
@@ -1,2219 +0,0 @@
-/******************************************************************************
- This file contains routines that can be bound to a Postgres backend and
- called by the backend in the process of processing queries. The calling
- format for these routines is dictated by Postgres architecture.
-******************************************************************************/
-
-/*
-#define BS_DEBUG
-#define GIST_DEBUG
-#define GIST_QUERY_DEBUG
-*/
-
-#include "postgres.h"
-
-#include <float.h>
-
-#include "access/gist.h"
-#include "access/itup.h"
-#include "access/rtree.h"
-#include "utils/elog.h"
-#include "utils/palloc.h"
-#include "utils/array.h"
-#include "utils/builtins.h"
-#include "storage/bufpage.h"
-
-/* number ranges for compression */
-#define MAXNUMRANGE 100
-
-#define max(a,b) ((a) > (b) ? (a) : (b))
-#define min(a,b) ((a) <= (b) ? (a) : (b))
-#define abs(a) ((a) < (0) ? -(a) : (a))
-
-/* dimension of array */
-#define NDIM 1
-
-/*
- * flags for gist__int_ops, use ArrayType->flags
- * which is unused (see array.h)
- */
-#define LEAFKEY (1<<31)
-#define ISLEAFKEY(x) ( ((ArrayType*)(x))->flags & LEAFKEY )
-
-/* useful macros for accessing int4 arrays */
-#define ARRPTR(x) ( (int4 *) ARR_DATA_PTR(x) )
-#define ARRNELEMS(x) ArrayGetNItems( ARR_NDIM(x), ARR_DIMS(x))
-
-#define ARRISVOID(x) ( (x) ? ( ( ARR_NDIM(x) == NDIM ) ? ( ( ARRNELEMS( x ) ) ? 0 : 1 ) : ( ( ARR_NDIM(x) ) ? (elog(ERROR,"Array is not one-dimensional: %d dimensions",ARRNELEMS( x )),1) : 0 ) ) : 0 )
-
-#define SORT(x) \
- do { \
- if ( ARRNELEMS( x ) > 1 ) \
- isort( ARRPTR( x ), ARRNELEMS( x ) ); \
- } while(0)
-
-#define PREPAREARR(x) \
- do { \
- if ( ARRNELEMS( x ) > 1 ) \
- if ( isort( ARRPTR( x ), ARRNELEMS( x ) ) ) \
- x = _int_unique( x ); \
- } while(0)
-
-/* "wish" function */
-#define WISH_F(a,b,c) (double)( -(double)(((a)-(b))*((a)-(b))*((a)-(b)))*(c) )
-
-
-/* bigint defines */
-#define BITBYTE 8
-#define SIGLENINT 64 /* >122 => key will toast, so very slow!!! */
-#define SIGLEN ( sizeof(int)*SIGLENINT )
-#define SIGLENBIT (SIGLEN*BITBYTE)
-
-typedef char BITVEC[SIGLEN];
-typedef char *BITVECP;
-
-#define SIGPTR(x) ( (BITVECP) ARR_DATA_PTR(x) )
-
-
-#define LOOPBYTE(a) \
- for(i=0;i<SIGLEN;i++) {\
- a;\
- }
-
-#define LOOPBIT(a) \
- for(i=0;i<SIGLENBIT;i++) {\
- a;\
- }
-
-/* beware of multiple evaluation of arguments to these macros! */
-#define GETBYTE(x,i) ( *( (BITVECP)(x) + (int)( (i) / BITBYTE ) ) )
-#define GETBITBYTE(x,i) ( (*((char*)(x)) >> (i)) & 0x01 )
-#define CLRBIT(x,i) GETBYTE(x,i) &= ~( 0x01 << ( (i) % BITBYTE ) )
-#define SETBIT(x,i) GETBYTE(x,i) |= ( 0x01 << ( (i) % BITBYTE ) )
-#define GETBIT(x,i) ( (GETBYTE(x,i) >> ( (i) % BITBYTE )) & 0x01 )
-#define HASHVAL(val) (((unsigned int)(val)) % SIGLENBIT)
-#define HASH(sign, val) SETBIT((sign), HASHVAL(val))
-
-
-#ifdef GIST_DEBUG
-static void
-printarr(ArrayType *a, int num)
-{
- char bbb[16384];
- char *cur;
- int l;
- int *d;
-
- d = ARRPTR(a);
- *bbb = '\0';
- cur = bbb;
- for (l = 0; l < min(num, ARRNELEMS(a)); l++)
- {
- sprintf(cur, "%d ", d[l]);
- cur = strchr(cur, '\0');
- }
- elog(DEBUG3, "\t\t%s", bbb);
-}
-static void
-printbitvec(BITVEC bv)
-{
- int i;
- char str[SIGLENBIT + 1];
-
- str[SIGLENBIT] = '\0';
- LOOPBIT(str[i] = (GETBIT(bv, i)) ? '1' : '0');
-
- elog(DEBUG3, "BV: %s", str);
-}
-
-#endif
-
-/*
-** types for functions
-*/
-typedef ArrayType *(*formarray) (ArrayType *, ArrayType *);
-typedef void (*formfloat) (ArrayType *, float *);
-
-/*
-** usefull function
-*/
-static bool isort(int4 *a, const int len);
-static ArrayType *new_intArrayType(int num);
-static ArrayType *copy_intArrayType(ArrayType *a);
-static ArrayType *resize_intArrayType(ArrayType *a, int num);
-static int internal_size(int *a, int len);
-static ArrayType *_int_unique(ArrayType *a);
-
-/* common GiST function*/
-static GIST_SPLITVEC *_int_common_picksplit(bytea *entryvec,
- GIST_SPLITVEC *v,
- formarray unionf,
- formarray interf,
- formfloat sizef,
- float coef);
-static float *_int_common_penalty(GISTENTRY *origentry,
- GISTENTRY *newentry,
- float *result,
- formarray unionf,
- formfloat sizef);
-static ArrayType *_int_common_union(bytea *entryvec,
- int *sizep,
- formarray unionf);
-
-/*
-** GiST support methods
-*/
-PG_FUNCTION_INFO_V1( g_int_consistent );
-PG_FUNCTION_INFO_V1( g_int_compress );
-PG_FUNCTION_INFO_V1( g_int_decompress );
-PG_FUNCTION_INFO_V1( g_int_penalty );
-PG_FUNCTION_INFO_V1( g_int_picksplit );
-PG_FUNCTION_INFO_V1( g_int_union );
-PG_FUNCTION_INFO_V1( g_int_same );
-
-Datum g_int_consistent(PG_FUNCTION_ARGS);
-Datum g_int_compress(PG_FUNCTION_ARGS);
-Datum g_int_decompress(PG_FUNCTION_ARGS);
-Datum g_int_penalty(PG_FUNCTION_ARGS);
-Datum g_int_picksplit(PG_FUNCTION_ARGS);
-Datum g_int_union(PG_FUNCTION_ARGS);
-Datum g_int_same(PG_FUNCTION_ARGS);
-
-
-/*
-** R-tree support functions
-*/
-static bool inner_int_contains(ArrayType *a, ArrayType *b);
-static bool inner_int_overlap(ArrayType *a, ArrayType *b);
-static ArrayType *inner_int_union(ArrayType *a, ArrayType *b);
-static ArrayType *inner_int_inter(ArrayType *a, ArrayType *b);
-static void rt__int_size(ArrayType *a, float *sz);
-
-PG_FUNCTION_INFO_V1( _int_different );
-PG_FUNCTION_INFO_V1( _int_same );
-PG_FUNCTION_INFO_V1( _int_contains );
-PG_FUNCTION_INFO_V1( _int_contained );
-PG_FUNCTION_INFO_V1( _int_overlap );
-PG_FUNCTION_INFO_V1( _int_union );
-PG_FUNCTION_INFO_V1( _int_inter );
-
-Datum _int_different(PG_FUNCTION_ARGS);
-Datum _int_same(PG_FUNCTION_ARGS);
-Datum _int_contains(PG_FUNCTION_ARGS);
-Datum _int_contained(PG_FUNCTION_ARGS);
-Datum _int_overlap(PG_FUNCTION_ARGS);
-Datum _int_union(PG_FUNCTION_ARGS);
-Datum _int_inter(PG_FUNCTION_ARGS);
-
-/*
-** _intbig methods
-*/
-PG_FUNCTION_INFO_V1( g_intbig_consistent );
-PG_FUNCTION_INFO_V1( g_intbig_compress );
-PG_FUNCTION_INFO_V1( g_intbig_decompress );
-PG_FUNCTION_INFO_V1( g_intbig_penalty );
-PG_FUNCTION_INFO_V1( g_intbig_picksplit );
-PG_FUNCTION_INFO_V1( g_intbig_union );
-PG_FUNCTION_INFO_V1( g_intbig_same );
-
-Datum g_intbig_consistent(PG_FUNCTION_ARGS);
-Datum g_intbig_compress(PG_FUNCTION_ARGS);
-Datum g_intbig_decompress(PG_FUNCTION_ARGS);
-Datum g_intbig_penalty(PG_FUNCTION_ARGS);
-Datum g_intbig_picksplit(PG_FUNCTION_ARGS);
-Datum g_intbig_union(PG_FUNCTION_ARGS);
-Datum g_intbig_same(PG_FUNCTION_ARGS);
-
-static bool _intbig_contains(ArrayType *a, ArrayType *b);
-static bool _intbig_overlap(ArrayType *a, ArrayType *b);
-static ArrayType *_intbig_union(ArrayType *a, ArrayType *b);
-
-static ArrayType * _intbig_inter(ArrayType *a, ArrayType *b);
-static void rt__intbig_size(ArrayType *a, float *sz);
-
-
-
-/*****************************************************************************
- * Boolean Search
- *****************************************************************************/
-
-#define BooleanSearchStrategy 20
-
-/*
- * item in polish notation with back link
- * to left operand
- */
-typedef struct ITEM {
- int2 type;
- int2 left;
- int4 val;
-} ITEM;
-
-typedef struct {
- int4 len;
- int4 size;
- char data[1];
-} QUERYTYPE;
-
-#define HDRSIZEQT ( 2*sizeof(int4) )
-#define COMPUTESIZE(size) ( HDRSIZEQT + size * sizeof(ITEM) )
-#define GETQUERY(x) (ITEM*)( (char*)(x)+HDRSIZEQT )
-
-PG_FUNCTION_INFO_V1(bqarr_in);
-PG_FUNCTION_INFO_V1(bqarr_out);
-Datum bqarr_in(PG_FUNCTION_ARGS);
-Datum bqarr_out(PG_FUNCTION_ARGS);
-
-PG_FUNCTION_INFO_V1(boolop);
-Datum boolop(PG_FUNCTION_ARGS);
-
-PG_FUNCTION_INFO_V1(rboolop);
-Datum rboolop(PG_FUNCTION_ARGS);
-
-PG_FUNCTION_INFO_V1(querytree);
-Datum querytree(PG_FUNCTION_ARGS);
-
-static bool signconsistent( QUERYTYPE *query, BITVEC sign, bool leaf );
-static bool execconsistent( QUERYTYPE *query, ArrayType *array, bool leaf );
-
-/*****************************************************************************
- * GiST functions
- *****************************************************************************/
-
-/*
-** The GiST Consistent method for _intments
-** Should return false if for all data items x below entry,
-** the predicate x op query == FALSE, where op is the oper
-** corresponding to strategy in the pg_amop table.
-*/
-Datum
-g_int_consistent(PG_FUNCTION_ARGS) {
- GISTENTRY *entry = (GISTENTRY *)PG_GETARG_POINTER(0);
- ArrayType *query = ( ArrayType * )PG_GETARG_POINTER(1);
- StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
- bool retval;
-
- if ( strategy == BooleanSearchStrategy )
- PG_RETURN_BOOL(execconsistent( (QUERYTYPE*)query,
- (ArrayType *) DatumGetPointer(entry->key),
- ISLEAFKEY( (ArrayType *) DatumGetPointer(entry->key) ) ) );
-
- /* XXX are we sure it's safe to scribble on the query object here? */
- /* XXX what about toasted input? */
- /* sort query for fast search, key is already sorted */
- if ( ARRISVOID( query ) )
- PG_RETURN_BOOL(false);
- PREPAREARR(query);
-
- switch (strategy)
- {
- case RTOverlapStrategyNumber:
- retval = inner_int_overlap((ArrayType *) DatumGetPointer(entry->key),
- query);
- break;
- case RTSameStrategyNumber:
- if ( GIST_LEAF(entry) )
- DirectFunctionCall3(
- g_int_same,
- entry->key,
- PointerGetDatum(query),
- PointerGetDatum(&retval)
- );
- else
- retval = inner_int_contains((ArrayType *) DatumGetPointer(entry->key),
- query);
- break;
- case RTContainsStrategyNumber:
- retval = inner_int_contains((ArrayType *) DatumGetPointer(entry->key),
- query);
- break;
- case RTContainedByStrategyNumber:
- if ( GIST_LEAF(entry) )
- retval = inner_int_contains(query,
- (ArrayType *) DatumGetPointer(entry->key) );
- else
- retval = inner_int_overlap((ArrayType *) DatumGetPointer(entry->key),
- query);
- break;
- default:
- retval = FALSE;
- }
- PG_RETURN_BOOL(retval);
-}
-
-Datum
-g_int_union(PG_FUNCTION_ARGS)
-{
- PG_RETURN_POINTER( _int_common_union(
- (bytea *) PG_GETARG_POINTER(0),
- (int *) PG_GETARG_POINTER(1),
- inner_int_union
- ) );
-}
-
-/*
-** GiST Compress and Decompress methods
-*/
-Datum
-g_int_compress(PG_FUNCTION_ARGS)
-{
- GISTENTRY *entry = (GISTENTRY *)PG_GETARG_POINTER(0);
- GISTENTRY *retval;
- ArrayType *r;
- int len;
- int *dr;
- int i,
- min,
- cand;
-
- if (entry->leafkey) {
- r = (ArrayType *) PG_DETOAST_DATUM_COPY(entry->key);
- PREPAREARR(r);
- r->flags |= LEAFKEY;
- retval = palloc(sizeof(GISTENTRY));
- gistentryinit(*retval, PointerGetDatum(r),
- entry->rel, entry->page, entry->offset, VARSIZE(r), FALSE);
-
- PG_RETURN_POINTER(retval);
- }
-
- r = (ArrayType *) PG_DETOAST_DATUM(entry->key);
- if ( ISLEAFKEY( r ) || ARRISVOID(r) ) {
- if ( r != (ArrayType*)DatumGetPointer(entry->key) )
- pfree(r);
- PG_RETURN_POINTER(entry);
- }
-
- if ( (len=ARRNELEMS(r)) >= 2 * MAXNUMRANGE) { /* compress */
- if ( r == (ArrayType*)DatumGetPointer( entry->key) )
- r = (ArrayType *) PG_DETOAST_DATUM_COPY(entry->key);
- r = resize_intArrayType(r, 2 * (len));
-
- dr = ARRPTR(r);
-
- for (i = len - 1; i >= 0; i--)
- dr[2 * i] = dr[2 * i + 1] = dr[i];
-
- len *= 2;
- cand = 1;
- while (len > MAXNUMRANGE * 2)
- {
- min = 0x7fffffff;
- for (i = 2; i < len; i += 2)
- if (min > (dr[i] - dr[i - 1]))
- {
- min = (dr[i] - dr[i - 1]);
- cand = i;
- }
- memmove((void *) &dr[cand - 1], (void *) &dr[cand + 1], (len - cand - 1) * sizeof(int));
- len -= 2;
- }
- r = resize_intArrayType(r, len);
- retval = palloc(sizeof(GISTENTRY));
- gistentryinit(*retval, PointerGetDatum(r),
- entry->rel, entry->page, entry->offset, VARSIZE(r), FALSE);
- PG_RETURN_POINTER(retval);
- } else {
- PG_RETURN_POINTER(entry);
- }
-
- PG_RETURN_POINTER(entry);
-}
-
-Datum
-g_int_decompress(PG_FUNCTION_ARGS)
-{
- GISTENTRY *entry = (GISTENTRY *)PG_GETARG_POINTER(0);
- GISTENTRY *retval;
- ArrayType *r;
- int *dr,
- lenr;
- ArrayType *in;
- int lenin;
- int *din;
- int i,
- j;
-
- in = (ArrayType *) PG_DETOAST_DATUM(entry->key);
-
- if ( ARRISVOID(in) ) {
- PG_RETURN_POINTER(entry);
- }
-
- lenin = ARRNELEMS(in);
-
- if (lenin < 2 * MAXNUMRANGE || ISLEAFKEY( in ) ) { /* not comressed value */
- if ( in != (ArrayType *) DatumGetPointer(entry->key)) {
- retval = palloc(sizeof(GISTENTRY));
- gistentryinit(*retval, PointerGetDatum(in),
- entry->rel, entry->page, entry->offset, VARSIZE(in), FALSE);
-
- PG_RETURN_POINTER(retval);
- }
- PG_RETURN_POINTER(entry);
- }
-
- din = ARRPTR(in);
- lenr = internal_size(din, lenin);
-
- r = new_intArrayType(lenr);
- dr = ARRPTR(r);
-
- for (i = 0; i < lenin; i += 2)
- for (j = din[i]; j <= din[i + 1]; j++)
- if ((!i) || *(dr - 1) != j)
- *dr++ = j;
-
- if (in != (ArrayType *) DatumGetPointer(entry->key))
- pfree(in);
- retval = palloc(sizeof(GISTENTRY));
- gistentryinit(*retval, PointerGetDatum(r),
- entry->rel, entry->page, entry->offset, VARSIZE(r), FALSE);
-
- PG_RETURN_POINTER(retval);
-}
-
-/*
-** The GiST Penalty method for _intments
-*/
-Datum
-g_int_penalty(PG_FUNCTION_ARGS)
-{
- PG_RETURN_POINTER( _int_common_penalty(
- (GISTENTRY *)PG_GETARG_POINTER(0),
- (GISTENTRY *)PG_GETARG_POINTER(1),
- (float *) PG_GETARG_POINTER(2),
- inner_int_union, rt__int_size
- ) );
-}
-
-
-Datum
-g_int_picksplit(PG_FUNCTION_ARGS)
-{
- PG_RETURN_POINTER( _int_common_picksplit(
- (bytea *)PG_GETARG_POINTER(0),
- (GIST_SPLITVEC *)PG_GETARG_POINTER(1),
- inner_int_union,
- inner_int_inter,
- rt__int_size,
- 0.01
- ) );
-}
-
-/*
-** Equality methods
-*/
-
-
-Datum
-g_int_same(PG_FUNCTION_ARGS)
-{
- ArrayType *a = (ArrayType*)PointerGetDatum(PG_GETARG_POINTER(0));
- ArrayType *b = (ArrayType*)PointerGetDatum(PG_GETARG_POINTER(1));
- bool *result = (bool *)PG_GETARG_POINTER(2);
- int4 n = ARRNELEMS(a);
- int4 *da, *db;
-
- if ( n != ARRNELEMS(b) ) {
- *result = false;
- PG_RETURN_POINTER(result);
- }
- *result = TRUE;
- da = ARRPTR(a);
- db = ARRPTR(b);
- while(n--)
- if (*da++ != *db++) {
- *result = FALSE;
- break;
- }
-
- PG_RETURN_POINTER(result);
-}
-
-Datum
-_int_contained(PG_FUNCTION_ARGS)
-{
- PG_RETURN_BOOL( DatumGetBool(
- DirectFunctionCall2(
- _int_contains,
- PointerGetDatum(PG_GETARG_POINTER(1)),
- PointerGetDatum(PG_GETARG_POINTER(0))
- )
- ));
-}
-
-Datum
-_int_contains(PG_FUNCTION_ARGS)
-{
- ArrayType *a = (ArrayType *)DatumGetPointer(PG_DETOAST_DATUM_COPY(PG_GETARG_DATUM(0)));
- ArrayType *b = (ArrayType *)DatumGetPointer(PG_DETOAST_DATUM_COPY(PG_GETARG_DATUM(1)));
- bool res;
-
- if (ARRISVOID(a) || ARRISVOID(b))
- return FALSE;
-
- PREPAREARR(a);
- PREPAREARR(b);
- res = inner_int_contains(a, b);
- pfree(a);
- pfree(b);
- PG_RETURN_BOOL( res );
-}
-
-static bool
-inner_int_contains(ArrayType *a, ArrayType *b)
-{
- int na,
- nb;
- int i,
- j,
- n;
- int *da,
- *db;
-
- if (ARRISVOID(a) || ARRISVOID(b))
- return FALSE;
-
- na = ARRNELEMS(a);
- nb = ARRNELEMS(b);
- da = ARRPTR(a);
- db = ARRPTR(b);
-
-#ifdef GIST_DEBUG
- elog(DEBUG3, "contains %d %d", na, nb);
-#endif
-
- i = j = n = 0;
- while (i < na && j < nb)
- if (da[i] < db[j])
- i++;
- else if (da[i] == db[j])
- {
- n++;
- i++;
- j++;
- }
- else
- j++;
-
- return (n == nb) ? TRUE : FALSE;
-}
-
-/*****************************************************************************
- * Operator class for R-tree indexing
- *****************************************************************************/
-
-Datum
-_int_different(PG_FUNCTION_ARGS)
-{
- PG_RETURN_BOOL( ! DatumGetBool(
- DirectFunctionCall2(
- _int_same,
- PointerGetDatum(PG_GETARG_POINTER(0)),
- PointerGetDatum(PG_GETARG_POINTER(1))
- )
- ));
-}
-
-Datum
-_int_same(PG_FUNCTION_ARGS)
-{
- ArrayType *a = (ArrayType *)DatumGetPointer(PG_DETOAST_DATUM_COPY(PG_GETARG_DATUM(0)));
- ArrayType *b = (ArrayType *)DatumGetPointer(PG_DETOAST_DATUM_COPY(PG_GETARG_DATUM(1)));
- int na,
- nb;
- int n;
- int *da,
- *db;
- bool result;
- bool avoid = ARRISVOID(a);
- bool bvoid = ARRISVOID(b);
-
- if (avoid || bvoid)
- return (avoid && bvoid) ? TRUE : FALSE;
-
- SORT(a);
- SORT(b);
- na = ARRNELEMS(a);
- nb = ARRNELEMS(b);
- da = ARRPTR(a);
- db = ARRPTR(b);
-
- result = FALSE;
-
- if (na == nb)
- {
- result = TRUE;
- for (n = 0; n < na; n++)
- if (da[n] != db[n])
- {
- result = FALSE;
- break;
- }
- }
-
- pfree(a);
- pfree(b);
-
- PG_RETURN_BOOL(result);
-}
-
-/* _int_overlap -- does a overlap b?
- */
-Datum
-_int_overlap(PG_FUNCTION_ARGS)
-{
- ArrayType *a = (ArrayType *)DatumGetPointer(PG_DETOAST_DATUM_COPY(PG_GETARG_DATUM(0)));
- ArrayType *b = (ArrayType *)DatumGetPointer(PG_DETOAST_DATUM_COPY(PG_GETARG_DATUM(1)));
- bool result;
-
- if (ARRISVOID(a) || ARRISVOID(b))
- return FALSE;
-
- SORT(a);
- SORT(b);
-
- result = inner_int_overlap(a, b);
-
- pfree(a);
- pfree(b);
-
- PG_RETURN_BOOL( result );
-}
-
-static bool
-inner_int_overlap(ArrayType *a, ArrayType *b)
-{
- int na,
- nb;
- int i,
- j;
- int *da,
- *db;
-
- if (ARRISVOID(a) || ARRISVOID(b))
- return FALSE;
-
- na = ARRNELEMS(a);
- nb = ARRNELEMS(b);
- da = ARRPTR(a);
- db = ARRPTR(b);
-
-#ifdef GIST_DEBUG
- elog(DEBUG3, "g_int_overlap");
-#endif
-
- i = j = 0;
- while (i < na && j < nb)
- if (da[i] < db[j])
- i++;
- else if (da[i] == db[j])
- return TRUE;
- else
- j++;
-
- return FALSE;
-}
-
-Datum
-_int_union(PG_FUNCTION_ARGS)
-{
- ArrayType *a = (ArrayType *)DatumGetPointer(PG_DETOAST_DATUM_COPY(PG_GETARG_DATUM(0)));
- ArrayType *b = (ArrayType *)DatumGetPointer(PG_DETOAST_DATUM_COPY(PG_GETARG_DATUM(1)));
- ArrayType *result;
-
- if (!ARRISVOID(a))
- SORT(a);
- if (!ARRISVOID(b))
- SORT(b);
-
- result = inner_int_union(a, b);
-
- if (a)
- pfree(a);
- if (b)
- pfree(b);
-
- PG_RETURN_POINTER( result );
-}
-
-static ArrayType *
-inner_int_union(ArrayType *a, ArrayType *b)
-{
- ArrayType *r = NULL;
- int na,
- nb;
- int *da,
- *db,
- *dr;
- int i,
- j;
-
- if (ARRISVOID(a) && ARRISVOID(b))
- return new_intArrayType(0);
- if (ARRISVOID(a))
- r = copy_intArrayType(b);
- if (ARRISVOID(b))
- r = copy_intArrayType(a);
-
- if (r)
- dr = ARRPTR(r);
- else
- {
- na = ARRNELEMS(a);
- nb = ARRNELEMS(b);
- da = ARRPTR(a);
- db = ARRPTR(b);
-
- r = new_intArrayType(na + nb);
- dr = ARRPTR(r);
-
- /* union */
- i = j = 0;
- while (i < na && j < nb)
- if (da[i] < db[j])
- *dr++ = da[i++];
- else
- *dr++ = db[j++];
-
- while (i < na)
- *dr++ = da[i++];
- while (j < nb)
- *dr++ = db[j++];
-
- }
-
- if (ARRNELEMS(r) > 1)
- r = _int_unique(r);
-
- return r;
-}
-
-
-Datum
-_int_inter(PG_FUNCTION_ARGS)
-{
- ArrayType *a = (ArrayType *)DatumGetPointer(PG_DETOAST_DATUM_COPY(PG_GETARG_DATUM(0)));
- ArrayType *b = (ArrayType *)DatumGetPointer(PG_DETOAST_DATUM_COPY(PG_GETARG_DATUM(1)));
- ArrayType *result;
-
- if (ARRISVOID(a) || ARRISVOID(b))
- PG_RETURN_POINTER(new_intArrayType(0));
-
- SORT(a);
- SORT(b);
-
- result = inner_int_inter(a, b);
-
- pfree(a);
- pfree(b);
-
- PG_RETURN_POINTER( result );
-}
-
-static ArrayType *
-inner_int_inter(ArrayType *a, ArrayType *b)
-{
- ArrayType *r;
- int na,
- nb;
- int *da,
- *db,
- *dr;
- int i,
- j;
-
- if (ARRISVOID(a) || ARRISVOID(b))
- return new_intArrayType(0);
-
- na = ARRNELEMS(a);
- nb = ARRNELEMS(b);
- da = ARRPTR(a);
- db = ARRPTR(b);
- r = new_intArrayType(min(na, nb));
- dr = ARRPTR(r);
-
- i = j = 0;
- while (i < na && j < nb)
- if (da[i] < db[j])
- i++;
- else if (da[i] == db[j])
- {
- if (i + j == 0 || (i + j > 0 && *(dr - 1) != db[j]))
- *dr++ = db[j];
- i++;
- j++;
- }
- else
- j++;
-
- if ((dr - ARRPTR(r)) == 0)
- {
- pfree(r);
- return new_intArrayType(0);
- }
- else
- return resize_intArrayType(r, dr - ARRPTR(r));
-}
-
-static void
-rt__int_size(ArrayType *a, float *size)
-{
- *size = (float) ARRNELEMS(a);
-
- return;
-}
-
-
-/*****************************************************************************
- * Miscellaneous operators and functions
- *****************************************************************************/
-
-/* len >= 2 */
-static bool
-isort(int4 *a, int len)
-{
- int4 tmp,
- index;
- int4 *cur,
- *end;
- bool r = FALSE;
-
- end = a + len;
- do
- {
- index = 0;
- cur = a + 1;
- while (cur < end)
- {
- if (*(cur - 1) > *cur)
- {
- tmp = *(cur - 1);
- *(cur - 1) = *cur;
- *cur = tmp;
- index = 1;
- }
- else if (!r && *(cur - 1) == *cur)
- r = TRUE;
- cur++;
- }
- } while (index);
- return r;
-}
-
-static ArrayType *
-new_intArrayType(int num)
-{
- ArrayType *r;
- int nbytes = ARR_OVERHEAD(NDIM) + sizeof(int) * num;
-
- r = (ArrayType *) palloc(nbytes);
-
- MemSet(r, 0, nbytes);
- r->size = nbytes;
- r->ndim = NDIM;
- r->flags &= ~LEAFKEY;
- *((int *) ARR_DIMS(r)) = num;
- *((int *) ARR_LBOUND(r)) = 1;
-
- return r;
-}
-
-static ArrayType *
-resize_intArrayType(ArrayType *a, int num)
-{
- int nbytes = ARR_OVERHEAD(NDIM) + sizeof(int) * num;
-
- if (num == ARRNELEMS(a))
- return a;
-
- a = (ArrayType *) repalloc(a, nbytes);
-
- a->size = nbytes;
- *((int *) ARR_DIMS(a)) = num;
- return a;
-}
-
-static ArrayType *
-copy_intArrayType(ArrayType *a)
-{
- ArrayType *r;
-
- r = new_intArrayType(ARRNELEMS(a));
- memmove(r, a, VARSIZE(a));
- return r;
-}
-
-/* num for compressed key */
-static int
-internal_size(int *a, int len)
-{
- int i,
- size = 0;
-
- for (i = 0; i < len; i += 2)
- if (!i || a[i] != a[i - 1]) /* do not count repeated range */
- size += a[i + 1] - a[i] + 1;
-
- return size;
-}
-
-/* r is sorted and size of r > 1 */
-static ArrayType *
-_int_unique(ArrayType *r)
-{
- int *tmp,
- *dr,
- *data;
- int num = ARRNELEMS(r);
-
- data = tmp = dr = ARRPTR(r);
- while (tmp - data < num)
- if (*tmp != *dr)
- *(++dr) = *tmp++;
- else
- tmp++;
- return resize_intArrayType(r, dr + 1 - ARRPTR(r));
-}
-
-/*********************************************************************
-** intbig functions
-*********************************************************************/
-static void
-gensign(BITVEC sign, int *a, int len)
-{
- int i;
-
- /* we assume that the sign vector is previously zeroed */
- for (i = 0; i < len; i++)
- {
- HASH(sign, *a);
- a++;
- }
-}
-
-static bool
-_intbig_overlap(ArrayType *a, ArrayType *b)
-{
- int i;
- BITVECP da,
- db;
-
- da = SIGPTR(a);
- db = SIGPTR(b);
-
- LOOPBYTE(if (da[i] & db[i]) return TRUE);
- return FALSE;
-}
-
-static bool
-_intbig_contains(ArrayType *a, ArrayType *b)
-{
- int i;
- BITVECP da,
- db;
-
- da = SIGPTR(a);
- db = SIGPTR(b);
-
- LOOPBYTE(if (db[i] & ~da[i]) return FALSE);
-
- return TRUE;
-}
-
-static void
-rt__intbig_size(ArrayType *a, float *sz)
-{
- int i,
- len = 0;
- BITVECP bv = SIGPTR(a);
-
- LOOPBYTE(
- len +=
- GETBITBYTE(bv,0) +
- GETBITBYTE(bv,1) +
- GETBITBYTE(bv,2) +
- GETBITBYTE(bv,3) +
- GETBITBYTE(bv,4) +
- GETBITBYTE(bv,5) +
- GETBITBYTE(bv,6) +
- GETBITBYTE(bv,7) ;
- bv = (BITVECP) ( ((char*)bv) + 1 );
- );
-
- *sz = (float) len;
- return;
-}
-
-static ArrayType *
-_intbig_union(ArrayType *a, ArrayType *b)
-{
- ArrayType *r;
- BITVECP da,
- db,
- dr;
- int i;
-
- r = new_intArrayType(SIGLENINT);
-
- da = SIGPTR(a);
- db = SIGPTR(b);
- dr = SIGPTR(r);
-
- LOOPBYTE(dr[i] = da[i] | db[i]);
-
- return r;
-}
-
-static ArrayType *
-_intbig_inter(ArrayType *a, ArrayType *b)
-{
- ArrayType *r;
- BITVECP da,
- db,
- dr;
- int i;
-
- r = new_intArrayType(SIGLENINT);
-
- da = SIGPTR(a);
- db = SIGPTR(b);
- dr = SIGPTR(r);
-
- LOOPBYTE(dr[i] = da[i] & db[i]);
-
- return r;
-}
-
-Datum
-g_intbig_same(PG_FUNCTION_ARGS)
-{
- ArrayType *a = (ArrayType *)PG_GETARG_POINTER(0);
- ArrayType *b = (ArrayType *)PG_GETARG_POINTER(1);
- bool *result = (bool *)PG_GETARG_POINTER(2);
- BITVECP da,
- db;
- int i;
-
- da = SIGPTR(a);
- db = SIGPTR(b);
-
- LOOPBYTE(
- if (da[i] != db[i])
- {
- *result = FALSE;
- PG_RETURN_POINTER( result );
- }
- );
-
- *result = TRUE;
- PG_RETURN_POINTER( result );
-}
-
-Datum
-g_intbig_compress(PG_FUNCTION_ARGS)
-{
- GISTENTRY *entry = (GISTENTRY *)PG_GETARG_POINTER(0);
- GISTENTRY *retval;
- ArrayType *r,
- *in;
- bool maycompress = true;
- int i;
-
- if (DatumGetPointer(entry->key) != NULL)
- in = (ArrayType *) PG_DETOAST_DATUM(entry->key);
- else
- in = NULL;
-
- if (!entry->leafkey) {
- LOOPBYTE(
- if ( ( ((char*)ARRPTR(in))[i] & 0xff ) != 0xff ) {
- maycompress = false;
- break;
- }
- );
- if ( maycompress ) {
- retval = palloc(sizeof(GISTENTRY));
- r = new_intArrayType(1);
- gistentryinit(*retval, PointerGetDatum(r),
- entry->rel, entry->page, entry->offset, VARSIZE(r), FALSE);
- PG_RETURN_POINTER( retval );
- }
- PG_RETURN_POINTER( entry );
- }
-
- retval = palloc(sizeof(GISTENTRY));
- r = new_intArrayType( SIGLENINT );
-
- if (ARRISVOID(in))
- {
- gistentryinit(*retval, PointerGetDatum(r),
- entry->rel, entry->page, entry->offset, VARSIZE(r), FALSE);
- if (in != (ArrayType *) DatumGetPointer(entry->key))
- pfree(in);
- PG_RETURN_POINTER (retval);
- }
-
- gensign(SIGPTR(r),
- ARRPTR(in),
- ARRNELEMS(in));
-
- LOOPBYTE(
- if( ( ((char*)ARRPTR(in))[i] & 0xff ) != 0xff ) {
- maycompress = false;
- break;
- }
- );
-
- if ( maycompress ) {
- pfree(r);
- r = new_intArrayType(1);
- }
-
- gistentryinit(*retval, PointerGetDatum(r), entry->rel, entry->page, entry->offset, VARSIZE(r), FALSE);
-
- if ( in != (ArrayType *) DatumGetPointer(entry->key))
- pfree(in);
-
- PG_RETURN_POINTER (retval);
-}
-
-Datum
-g_intbig_decompress(PG_FUNCTION_ARGS)
-{
- GISTENTRY *entry = (GISTENTRY *)PG_GETARG_POINTER(0);
- ArrayType *key;
-
- key = (ArrayType *) PG_DETOAST_DATUM(entry->key);
-
- if ( key != (ArrayType *) DatumGetPointer(entry->key))
- {
- GISTENTRY *retval;
-
- retval = palloc(sizeof(GISTENTRY));
-
- gistentryinit(*retval, PointerGetDatum(key),
- entry->rel, entry->page, entry->offset, (key) ? VARSIZE(key) : 0, FALSE);
- PG_RETURN_POINTER( retval );
- }
- if ( ARRNELEMS(key) == 1 ) {
- GISTENTRY *retval;
- ArrayType *newkey;
-
- retval = palloc(sizeof(GISTENTRY));
- newkey = new_intArrayType(SIGLENINT);
- MemSet( (void*)ARRPTR(newkey), 0xff, SIGLEN );
-
- gistentryinit(*retval, PointerGetDatum(newkey),
- entry->rel, entry->page, entry->offset, VARSIZE(newkey), FALSE);
- PG_RETURN_POINTER( retval );
- }
- PG_RETURN_POINTER( entry );
-}
-
-Datum
-g_intbig_picksplit(PG_FUNCTION_ARGS)
-{
- PG_RETURN_POINTER( _int_common_picksplit(
- (bytea *)PG_GETARG_POINTER(0),
- (GIST_SPLITVEC *)PG_GETARG_POINTER(1),
- _intbig_union,
- _intbig_inter,
- rt__intbig_size,
- 0.1
- ) );
-}
-
-Datum
-g_intbig_union(PG_FUNCTION_ARGS)
-{
- PG_RETURN_POINTER( _int_common_union(
- (bytea *) PG_GETARG_POINTER(0),
- (int *) PG_GETARG_POINTER(1),
- _intbig_union
- ) );
-}
-
-Datum
-g_intbig_penalty(PG_FUNCTION_ARGS)
-{
- PG_RETURN_POINTER( _int_common_penalty(
- (GISTENTRY *)PG_GETARG_POINTER(0),
- (GISTENTRY *)PG_GETARG_POINTER(1),
- (float *) PG_GETARG_POINTER(2),
- _intbig_union, rt__intbig_size
- ) );
-}
-
-Datum
-g_intbig_consistent(PG_FUNCTION_ARGS) {
- GISTENTRY *entry = (GISTENTRY *)PG_GETARG_POINTER(0);
- ArrayType *query = ( ArrayType * )PG_GETARG_POINTER(1);
- StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
- bool retval;
- ArrayType *q;
-
- if ( strategy == BooleanSearchStrategy )
- PG_RETURN_BOOL(signconsistent( (QUERYTYPE*)query,
- SIGPTR((ArrayType *) DatumGetPointer(entry->key)),
- false ) );
-
- /* XXX what about toasted input? */
- if (ARRISVOID(query))
- return FALSE;
-
- q = new_intArrayType(SIGLENINT);
- gensign(SIGPTR(q),
- ARRPTR(query),
- ARRNELEMS(query));
-
- switch (strategy)
- {
- case RTOverlapStrategyNumber:
- retval = _intbig_overlap((ArrayType *) DatumGetPointer(entry->key), q);
- break;
- case RTSameStrategyNumber:
- if ( GIST_LEAF(entry) )
- DirectFunctionCall3(
- g_intbig_same,
- entry->key,
- PointerGetDatum(q),
- PointerGetDatum(&retval)
- );
- else
- retval = _intbig_contains((ArrayType *) DatumGetPointer(entry->key), q);
- break;
- case RTContainsStrategyNumber:
- retval = _intbig_contains((ArrayType *) DatumGetPointer(entry->key), q);
- break;
- case RTContainedByStrategyNumber:
- retval = _intbig_overlap((ArrayType *) DatumGetPointer(entry->key), q);
- break;
- default:
- retval = FALSE;
- }
- pfree(q);
- PG_RETURN_BOOL(retval);
-}
-
-/*****************************************************************
-** Common GiST Method
-*****************************************************************/
-
-/*
-** The GiST Union method for _intments
-** returns the minimal set that encloses all the entries in entryvec
-*/
-static ArrayType *
-_int_common_union(bytea *entryvec, int *sizep, formarray unionf)
-{
- int numranges,
- i;
- ArrayType *out = (ArrayType *) NULL;
- ArrayType *tmp;
-
-#ifdef GIST_DEBUG
- elog(DEBUG3, "_int_common_union in");
-#endif
-
- numranges = (VARSIZE(entryvec) - VARHDRSZ) / sizeof(GISTENTRY);
- tmp = (ArrayType *) DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[0].key);
-
- for (i = 1; i < numranges; i++)
- {
- out = (*unionf) (tmp, (ArrayType *)
- DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[i].key));
- if (i > 1 && tmp)
- pfree(tmp);
- tmp = out;
- }
-
- out->flags &= ~LEAFKEY;
- *sizep = VARSIZE(out);
- if (*sizep == 0)
- {
- pfree(out);
-#ifdef GIST_DEBUG
- elog(DEBUG3, "_int_common_union out1");
-#endif
- return NULL;
- }
-#ifdef GIST_DEBUG
- elog(DEBUG3, "_int_common_union out");
-#endif
- return (out);
-
-}
-
-/*****************************************
- * The GiST Penalty method for _intments *
- *****************************************/
-
-static float *
-_int_common_penalty(GISTENTRY *origentry, GISTENTRY *newentry, float *result,
- formarray unionf,
- formfloat sizef)
-{
- ArrayType *ud;
- float tmp1,
- tmp2;
-
-#ifdef GIST_DEBUG
- elog(DEBUG3, "penalty");
-#endif
- ud = (*unionf) ((ArrayType *) DatumGetPointer(origentry->key),
- (ArrayType *) DatumGetPointer(newentry->key));
- (*sizef) (ud, &tmp1);
- (*sizef) ((ArrayType *) DatumGetPointer(origentry->key), &tmp2);
- *result = tmp1 - tmp2;
- pfree(ud);
-
-#ifdef GIST_DEBUG
- elog(DEBUG3, "--penalty\t%g", *result);
-#endif
-
- return (result);
-}
-
-typedef struct {
- OffsetNumber pos;
- float cost;
-} SPLITCOST;
-
-static int
-comparecost( const void *a, const void *b ) {
- if ( ((SPLITCOST*)a)->cost == ((SPLITCOST*)b)->cost )
- return 0;
- else
- return ( ((SPLITCOST*)a)->cost > ((SPLITCOST*)b)->cost ) ? 1 : -1;
-}
-
-/*
-** The GiST PickSplit method for _intments
-** We use Guttman's poly time split algorithm
-*/
-static GIST_SPLITVEC *
-_int_common_picksplit(bytea *entryvec,
- GIST_SPLITVEC *v,
- formarray unionf,
- formarray interf,
- formfloat sizef,
- float coef)
-{
- OffsetNumber i,
- j;
- ArrayType *datum_alpha,
- *datum_beta;
- ArrayType *datum_l,
- *datum_r;
- ArrayType *union_d,
- *union_dl,
- *union_dr;
- ArrayType *inter_d;
- bool firsttime;
- float size_alpha,
- size_beta,
- size_union,
- size_inter;
- float size_waste,
- waste;
- float size_l,
- size_r;
- int nbytes;
- OffsetNumber seed_1 = 0,
- seed_2 = 0;
- OffsetNumber *left,
- *right;
- OffsetNumber maxoff;
- SPLITCOST *costvector;
-
-#ifdef GIST_DEBUG
- elog(DEBUG3, "--------picksplit %d", (VARSIZE(entryvec) - VARHDRSZ) / sizeof(GISTENTRY));
-#endif
-
- maxoff = ((VARSIZE(entryvec) - VARHDRSZ) / sizeof(GISTENTRY)) - 2;
- nbytes = (maxoff + 2) * sizeof(OffsetNumber);
- v->spl_left = (OffsetNumber *) palloc(nbytes);
- v->spl_right = (OffsetNumber *) palloc(nbytes);
-
- firsttime = true;
- waste = 0.0;
- for (i = FirstOffsetNumber; i < maxoff; i = OffsetNumberNext(i))
- {
- datum_alpha = (ArrayType *) DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[i].key);
- for (j = OffsetNumberNext(i); j <= maxoff; j = OffsetNumberNext(j))
- {
- datum_beta = (ArrayType *) DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[j].key);
-
- /* compute the wasted space by unioning these guys */
- /* size_waste = size_union - size_inter; */
- union_d = (*unionf) (datum_alpha, datum_beta);
- (*sizef) (union_d, &size_union);
- inter_d = (*interf) (datum_alpha, datum_beta);
- (*sizef) (inter_d, &size_inter);
- size_waste = size_union - size_inter;
-
- pfree(union_d);
-
- if (inter_d != (ArrayType *) NULL)
- pfree(inter_d);
-
- /*
- * are these a more promising split that what we've already
- * seen?
- */
-
- if (size_waste > waste || firsttime)
- {
- waste = size_waste;
- seed_1 = i;
- seed_2 = j;
- firsttime = false;
- }
- }
- }
-
- left = v->spl_left;
- v->spl_nleft = 0;
- right = v->spl_right;
- v->spl_nright = 0;
- if ( seed_1 == 0 || seed_2 == 0 ) {
- seed_1 = 1;
- seed_2 = 2;
- }
-
- datum_alpha = (ArrayType *) DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[seed_1].key);
- datum_l = copy_intArrayType(datum_alpha);
- (*sizef) (datum_l, &size_l);
- datum_beta = (ArrayType *) DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[seed_2].key);
- datum_r = copy_intArrayType(datum_beta);
- (*sizef) (datum_r, &size_r);
-
- maxoff = OffsetNumberNext(maxoff);
- /*
- * sort entries
- */
- costvector=(SPLITCOST*)palloc( sizeof(SPLITCOST)*maxoff );
- for (i = FirstOffsetNumber; i <= maxoff; i = OffsetNumberNext(i)) {
- costvector[i-1].pos = i;
- datum_alpha = (ArrayType *) DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[i].key);
- union_d = (*unionf)(datum_l, datum_alpha);
- (*sizef)(union_d, &size_alpha);
- pfree( union_d );
- union_d = (*unionf)(datum_r, datum_alpha);
- (*sizef)(union_d, &size_beta);
- pfree( union_d );
- costvector[i-1].cost = abs( (size_alpha - size_l) - (size_beta - size_r) );
- }
- qsort( (void*)costvector, maxoff, sizeof(SPLITCOST), comparecost );
-
- /*
- * Now split up the regions between the two seeds. An important
- * property of this split algorithm is that the split vector v has the
- * indices of items to be split in order in its left and right
- * vectors. We exploit this property by doing a merge in the code
- * that actually splits the page.
- *
- * For efficiency, we also place the new index tuple in this loop. This
- * is handled at the very end, when we have placed all the existing
- * tuples and i == maxoff + 1.
- */
-
-
- for (j = 0; j < maxoff; j++) {
- i = costvector[j].pos;
-
- /*
- * If we've already decided where to place this item, just put it
- * on the right list. Otherwise, we need to figure out which page
- * needs the least enlargement in order to store the item.
- */
-
- if (i == seed_1)
- {
- *left++ = i;
- v->spl_nleft++;
- continue;
- }
- else if (i == seed_2)
- {
- *right++ = i;
- v->spl_nright++;
- continue;
- }
-
- /* okay, which page needs least enlargement? */
- datum_alpha = (ArrayType *) DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[i].key);
- union_dl = (*unionf) (datum_l, datum_alpha);
- union_dr = (*unionf) (datum_r, datum_alpha);
- (*sizef) (union_dl, &size_alpha);
- (*sizef) (union_dr, &size_beta);
-
- /* pick which page to add it to */
- if (size_alpha - size_l < size_beta - size_r + WISH_F(v->spl_nleft, v->spl_nright, coef))
- {
- if (datum_l)
- pfree(datum_l);
- if (union_dr)
- pfree(union_dr);
- datum_l = union_dl;
- size_l = size_alpha;
- *left++ = i;
- v->spl_nleft++;
- }
- else
- {
- if (datum_r)
- pfree(datum_r);
- if (union_dl)
- pfree(union_dl);
- datum_r = union_dr;
- size_r = size_beta;
- *right++ = i;
- v->spl_nright++;
- }
- }
- pfree( costvector );
- *right = *left = FirstOffsetNumber;
-
- datum_l->flags &= ~LEAFKEY;
- datum_r->flags &= ~LEAFKEY;
- v->spl_ldatum = PointerGetDatum(datum_l);
- v->spl_rdatum = PointerGetDatum(datum_r);
-
-#ifdef GIST_DEBUG
- elog(DEBUG3, "--------ENDpicksplit %d %d", v->spl_nleft, v->spl_nright);
-#endif
- return v;
-}
-
-/*****************************************************************************
- * BoolSearch
- *****************************************************************************/
-
-
-#define END 0
-#define ERR 1
-#define VAL 2
-#define OPR 3
-#define OPEN 4
-#define CLOSE 5
-
-/* parser's states */
-#define WAITOPERAND 1
-#define WAITENDOPERAND 2
-#define WAITOPERATOR 3
-
-/*
- * node of query tree, also used
- * for storing polish notation in parser
- */
-typedef struct NODE {
- int4 type;
- int4 val;
- struct NODE *next;
-} NODE;
-
-typedef struct {
- char *buf;
- int4 state;
- int4 count;
- /* reverse polish notation in list (for temprorary usage)*/
- NODE *str;
- /* number in str */
- int4 num;
-} WORKSTATE;
-
-/*
- * get token from query string
- */
-static int4
-gettoken( WORKSTATE* state, int4* val ) {
- char nnn[16], *curnnn;
-
- curnnn=nnn;
- while(1) {
- switch(state->state) {
- case WAITOPERAND:
- curnnn=nnn;
- if ( (*(state->buf)>='0' && *(state->buf)<='9') ||
- *(state->buf)=='-' ) {
- state->state = WAITENDOPERAND;
- *curnnn = *(state->buf);
- curnnn++;
- } else if ( *(state->buf) == '!' ) {
- (state->buf)++;
- *val = (int4)'!';
- return OPR;
- } else if ( *(state->buf) == '(' ) {
- state->count++;
- (state->buf)++;
- return OPEN;
- } else if ( *(state->buf) != ' ' )
- return ERR;
- break;
- case WAITENDOPERAND:
- if ( *(state->buf)>='0' && *(state->buf)<='9' ) {
- *curnnn = *(state->buf);
- curnnn++;
- } else {
- *curnnn = '\0';
- *val=(int4)atoi( nnn );
- state->state = WAITOPERATOR;
- return ( state->count && *(state->buf) == '\0' )
- ? ERR : VAL;
- }
- break;
- case WAITOPERATOR:
- if ( *(state->buf) == '&' || *(state->buf) == '|' ) {
- state->state = WAITOPERAND;
- *val = (int4) *(state->buf);
- (state->buf)++;
- return OPR;
- } else if ( *(state->buf) == ')' ) {
- (state->buf)++;
- state->count--;
- return ( state->count <0 ) ? ERR : CLOSE;
- } else if ( *(state->buf) == '\0' ) {
- return ( state->count ) ? ERR : END;
- } else if ( *(state->buf) != ' ' )
- return ERR;
- break;
- default:
- return ERR;
- break;
- }
- (state->buf)++;
- }
- return END;
-}
-
-/*
- * push new one in polish notation reverse view
- */
-static void
-pushquery( WORKSTATE *state, int4 type, int4 val ) {
- NODE *tmp = (NODE*)palloc(sizeof(NODE));
- tmp->type=type;
- tmp->val =val;
- tmp->next = state->str;
- state->str = tmp;
- state->num++;
-}
-
-#define STACKDEPTH 16
-
-/*
- * make polish notaion of query
- */
-static int4
-makepol(WORKSTATE *state) {
- int4 val,type;
- int4 stack[STACKDEPTH];
- int4 lenstack=0;
-
- while( (type=gettoken(state, &val))!=END ) {
- switch(type) {
- case VAL:
- pushquery(state, type, val);
- while ( lenstack && (stack[ lenstack-1 ] == (int4)'&' ||
- stack[ lenstack-1 ] == (int4)'!') ) {
- lenstack--;
- pushquery(state, OPR, stack[ lenstack ]);
- }
- break;
- case OPR:
- if ( lenstack && val == (int4) '|' ) {
- pushquery(state, OPR, val);
- } else {
- if ( lenstack == STACKDEPTH )
- elog(ERROR,"Stack too short");
- stack[ lenstack ] = val;
- lenstack++;
- }
- break;
- case OPEN:
- if ( makepol( state ) == ERR ) return ERR;
- if ( lenstack && (stack[ lenstack-1 ] == (int4)'&' ||
- stack[ lenstack-1 ] == (int4)'!') ) {
- lenstack--;
- pushquery(state, OPR, stack[ lenstack ]);
- }
- break;
- case CLOSE:
- while ( lenstack ) {
- lenstack--;
- pushquery(state, OPR, stack[ lenstack ]);
- };
- return END;
- break;
- case ERR:
- default:
- elog(ERROR,"Syntax error");
- return ERR;
-
- }
- }
-
- while (lenstack) {
- lenstack--;
- pushquery(state, OPR, stack[ lenstack ]);
- };
- return END;
-}
-
-typedef struct {
- int4 *arrb;
- int4 *arre;
-} CHKVAL;
-
-/*
- * is there value 'val' in array or not ?
- */
-static bool
-checkcondition_arr( void *checkval, int4 val ) {
- int4 *StopLow = ((CHKVAL*)checkval)->arrb;
- int4 *StopHigh = ((CHKVAL*)checkval)->arre;
- int4 *StopMiddle;
-
- /* Loop invariant: StopLow <= val < StopHigh */
-
- while (StopLow < StopHigh) {
- StopMiddle = StopLow + (StopHigh - StopLow) / 2;
- if (*StopMiddle == val)
- return (true);
- else if (*StopMiddle < val )
- StopLow = StopMiddle + 1;
- else
- StopHigh = StopMiddle;
- }
- return false;
-}
-
-static bool
-checkcondition_bit( void *checkval, int4 val ) {
- return GETBIT( checkval, HASHVAL( val ) );
-}
-
-/*
- * check for boolean condition
- */
-static bool
-execute( ITEM* curitem, void *checkval, bool calcnot, bool (*chkcond)(void *checkval, int4 val )) {
-
- if ( curitem->type == VAL ) {
- return (*chkcond)( checkval, curitem->val );
- } else if ( curitem->val == (int4)'!' ) {
- return ( calcnot ) ?
- ( ( execute(curitem - 1, checkval, calcnot, chkcond) ) ? false : true )
- : true;
- } else if ( curitem->val == (int4)'&' ) {
- if ( execute(curitem + curitem->left, checkval, calcnot, chkcond) )
- return execute(curitem - 1, checkval, calcnot, chkcond);
- else
- return false;
- } else { /* |-operator */
- if ( execute(curitem + curitem->left, checkval, calcnot, chkcond) )
- return true;
- else
- return execute(curitem - 1, checkval, calcnot, chkcond);
- }
- return false;
-}
-
-/*
- * signconsistent & execconsistent called by *_consistent
- */
-static bool
-signconsistent( QUERYTYPE *query, BITVEC sign, bool calcnot ) {
- return execute(
- GETQUERY(query) + query->size-1 ,
- (void*)sign, calcnot,
- checkcondition_bit
- );
-}
-
-static bool
-execconsistent( QUERYTYPE *query, ArrayType *array, bool calcnot ) {
- CHKVAL chkval;
-
- chkval.arrb = ARRPTR(array);
- chkval.arre = chkval.arrb + ARRNELEMS(array);
- return execute(
- GETQUERY(query) + query->size-1 ,
- (void*)&chkval, calcnot,
- checkcondition_arr
- );
-}
-
-/*
- * boolean operations
- */
-Datum
-rboolop(PG_FUNCTION_ARGS) {
- return DirectFunctionCall2(
- boolop,
- PG_GETARG_DATUM(1),
- PG_GETARG_DATUM(0)
- );
-}
-
-Datum
-boolop(PG_FUNCTION_ARGS) {
- ArrayType *val = ( ArrayType * )PG_DETOAST_DATUM_COPY(PG_GETARG_POINTER(0));
- QUERYTYPE *query = ( QUERYTYPE * )PG_DETOAST_DATUM(PG_GETARG_POINTER(1));
- CHKVAL chkval;
- bool result;
-
- if ( ARRISVOID( val ) ) {
- pfree(val);
- PG_FREE_IF_COPY(query,1);
- PG_RETURN_BOOL( false );
- }
-
- PREPAREARR(val);
- chkval.arrb = ARRPTR(val);
- chkval.arre = chkval.arrb + ARRNELEMS(val);
- result = execute(
- GETQUERY(query) + query->size-1 ,
- &chkval, true,
- checkcondition_arr
- );
- pfree(val);
-
- PG_FREE_IF_COPY(query,1);
- PG_RETURN_BOOL( result );
-}
-
-static void
-findoprnd( ITEM *ptr, int4 *pos ) {
-#ifdef BS_DEBUG
- elog(DEBUG3, ( ptr[*pos].type == OPR ) ?
- "%d %c" : "%d %d ", *pos, ptr[*pos].val );
-#endif
- if ( ptr[*pos].type == VAL ) {
- ptr[*pos].left = 0;
- (*pos)--;
- } else if ( ptr[*pos].val == (int4)'!' ) {
- ptr[*pos].left = -1;
- (*pos)--;
- findoprnd( ptr, pos );
- } else {
- ITEM *curitem = &ptr[*pos];
- int4 tmp = *pos;
- (*pos)--;
- findoprnd(ptr,pos);
- curitem->left = *pos - tmp;
- findoprnd(ptr,pos);
- }
-}
-
-
-/*
- * input
- */
-Datum
-bqarr_in(PG_FUNCTION_ARGS) {
- char *buf=(char*)PG_GETARG_POINTER(0);
- WORKSTATE state;
- int4 i;
- QUERYTYPE *query;
- int4 commonlen;
- ITEM *ptr;
- NODE *tmp;
- int4 pos=0;
-#ifdef BS_DEBUG
- char pbuf[16384],*cur;
-#endif
-
- state.buf = buf;
- state.state = WAITOPERAND;
- state.count = 0;
- state.num = 0;
- state.str=NULL;
-
- /* make polish notation (postfix, but in reverse order) */
- makepol( &state );
- if (!state.num)
- elog( ERROR,"Empty query");
-
- commonlen = COMPUTESIZE(state.num);
- query = (QUERYTYPE*) palloc( commonlen );
- query->len = commonlen;
- query->size = state.num;
- ptr = GETQUERY(query);
-
- for(i=state.num-1; i>=0; i-- ) {
- ptr[i].type = state.str->type;
- ptr[i].val = state.str->val;
- tmp = state.str->next;
- pfree( state.str );
- state.str = tmp;
- }
-
- pos = query->size-1;
- findoprnd( ptr, &pos );
-#ifdef BS_DEBUG
- cur = pbuf;
- *cur = '\0';
- for( i=0;i<query->size;i++ ) {
- if ( ptr[i].type == OPR )
- sprintf(cur, "%c(%d) ", ptr[i].val, ptr[i].left);
- else
- sprintf(cur, "%d ", ptr[i].val );
- cur = strchr(cur,'\0');
- }
- elog(DEBUG3,"POR: %s", pbuf);
-#endif
-
- PG_RETURN_POINTER( query );
-}
-
-
-/*
- * out function
- */
-typedef struct {
- ITEM *curpol;
- char *buf;
- char *cur;
- int4 buflen;
-} INFIX;
-
-#define RESIZEBUF(inf,addsize) while( ( inf->cur - inf->buf ) + addsize + 1 >= inf->buflen ) { \
- int4 len = inf->cur - inf->buf; \
- inf->buflen *= 2; \
- inf->buf = (char*) repalloc( (void*)inf->buf, inf->buflen ); \
- inf->cur = inf->buf + len; \
-}
-
-static void
-infix(INFIX *in, bool first) {
- if ( in->curpol->type == VAL ) {
- RESIZEBUF(in, 11);
- sprintf(in->cur, "%d", in->curpol->val );
- in->cur = strchr( in->cur, '\0' );
- in->curpol--;
- } else if ( in->curpol->val == (int4)'!' ) {
- bool isopr = false;
- RESIZEBUF(in, 1);
- *(in->cur) = '!';
- in->cur++;
- *(in->cur) = '\0';
- in->curpol--;
- if ( in->curpol->type == OPR ) {
- isopr = true;
- RESIZEBUF(in, 2);
- sprintf(in->cur, "( ");
- in->cur = strchr( in->cur, '\0' );
- }
- infix( in, isopr );
- if ( isopr ) {
- RESIZEBUF(in, 2);
- sprintf(in->cur, " )");
- in->cur = strchr( in->cur, '\0' );
- }
- } else {
- int4 op = in->curpol->val;
- INFIX nrm;
-
- in->curpol--;
- if ( op == (int4)'|' && ! first) {
- RESIZEBUF(in, 2);
- sprintf(in->cur, "( ");
- in->cur = strchr( in->cur, '\0' );
- }
-
- nrm.curpol = in->curpol;
- nrm.buflen = 16;
- nrm.cur = nrm.buf = (char*)palloc( sizeof(char) * nrm.buflen );
-
- /* get right operand */
- infix( &nrm, false );
-
- /* get & print left operand */
- in->curpol = nrm.curpol;
- infix( in, false );
-
- /* print operator & right operand*/
- RESIZEBUF(in, 3 + (nrm.cur - nrm.buf) );
- sprintf(in->cur, " %c %s", op, nrm.buf);
- in->cur = strchr( in->cur, '\0' );
- pfree( nrm.buf );
-
- if ( op == (int4)'|' && ! first) {
- RESIZEBUF(in, 2);
- sprintf(in->cur, " )");
- in->cur = strchr( in->cur, '\0' );
- }
- }
-}
-
-
-Datum
-bqarr_out(PG_FUNCTION_ARGS) {
- QUERYTYPE *query = (QUERYTYPE*)PG_DETOAST_DATUM(PG_GETARG_POINTER(0));
- INFIX nrm;
-
- if ( query->size == 0 )
- elog(ERROR,"Empty");
- nrm.curpol = GETQUERY(query) + query->size - 1;
- nrm.buflen = 32;
- nrm.cur = nrm.buf = (char*)palloc( sizeof(char) * nrm.buflen );
- *(nrm.cur) = '\0';
- infix( &nrm, true );
-
- PG_FREE_IF_COPY(query,0);
- PG_RETURN_POINTER( nrm.buf );
-}
-
-static int4
-countdroptree( ITEM *q, int4 pos ) {
- if ( q[pos].type == VAL ) {
- return 1;
- } else if ( q[pos].val == (int4)'!' ) {
- return 1+countdroptree(q, pos-1);
- } else {
- return 1 + countdroptree(q, pos-1) + countdroptree(q, pos + q[pos].left);
- }
-}
-
-/*
- * common algorithm:
- * result of all '!' will be = 'true', so
- * we can modify query tree for clearing
- */
-static int4
-shorterquery( ITEM *q, int4 len ) {
- int4 index,posnot,poscor;
- bool notisleft = false;
- int4 drop,i;
-
- /* out all '!' */
- do {
- index=0;
- drop=0;
- /* find ! */
- for(posnot=0; posnot < len; posnot++)
- if ( q[posnot].type == OPR && q[posnot].val == (int4)'!') {
- index=1;
- break;
- }
-
- if ( posnot == len )
- return len;
-
- /* last operator is ! */
- if ( posnot == len-1 )
- return 0;
-
- /* find operator for this operand */
- for( poscor=posnot+1; poscor<len; poscor++) {
- if ( q[poscor].type == OPR ) {
- if ( poscor == posnot+1 ) {
- notisleft = false;
- break;
- } else if ( q[poscor].left + poscor == posnot ) {
- notisleft = true;
- break;
- }
- }
- }
- if ( q[poscor].val == (int4)'!' ) {
- drop = countdroptree(q, poscor);
- q[poscor-1].type=VAL;
- for(i=poscor+1;i<len;i++)
- if ( q[i].type == OPR && q[i].left + i <= poscor )
- q[i].left += drop - 2;
- memcpy( (void*)&q[poscor-drop+1],
- (void*)&q[poscor-1],
- sizeof(ITEM) * ( len - (poscor-1) ));
- len -= drop - 2;
- } else if ( q[poscor].val == (int4)'|' ) {
- drop = countdroptree(q, poscor);
- q[poscor-1].type=VAL;
- q[poscor].val=(int4)'!';
- q[poscor].left=-1;
- for(i=poscor+1;i<len;i++)
- if ( q[i].type == OPR && q[i].left + i < poscor )
- q[i].left += drop - 2;
- memcpy( (void*)&q[poscor-drop+1],
- (void*)&q[poscor-1],
- sizeof(ITEM) * ( len - (poscor-1) ));
- len -= drop - 2;
- } else { /* &-operator */
- if (
- (notisleft && q[poscor-1].type == OPR &&
- q[poscor-1].val == (int4)'!' ) ||
- (!notisleft && q[poscor+q[poscor].left].type == OPR &&
- q[poscor+q[poscor].left].val == (int4)'!' )
- ) { /* drop subtree */
- drop = countdroptree(q, poscor);
- q[poscor-1].type=VAL;
- q[poscor].val=(int4)'!';
- q[poscor].left=-1;
- for(i=poscor+1;i<len;i++)
- if ( q[i].type == OPR && q[i].left + i < poscor )
- q[i].left += drop - 2;
- memcpy( (void*)&q[poscor-drop+1],
- (void*)&q[poscor-1],
- sizeof(ITEM) * ( len - (poscor-1) ));
- len -= drop - 2;
- } else { /* drop only operator */
- int4 subtreepos = ( notisleft ) ?
- poscor-1 : poscor+q[poscor].left;
- int4 subtreelen = countdroptree( q, subtreepos );
- drop = countdroptree(q, poscor);
- for(i=poscor+1;i<len;i++)
- if ( q[i].type == OPR && q[i].left + i < poscor )
- q[i].left += drop - subtreelen;
- memcpy( (void*)&q[ subtreepos+1 ],
- (void*)&q[poscor+1],
- sizeof(ITEM)*( len - (poscor-1) ) );
- memcpy( (void*)&q[ poscor-drop+1 ],
- (void*)&q[subtreepos-subtreelen+1],
- sizeof(ITEM)*( len - (drop-subtreelen) ) );
- len -= drop - subtreelen;
- }
- }
- } while( index );
- return len;
-}
-
-
-Datum
-querytree(PG_FUNCTION_ARGS) {
- QUERYTYPE *query = (QUERYTYPE*)PG_DETOAST_DATUM(PG_GETARG_POINTER(0));
- INFIX nrm;
- text *res;
- ITEM *q;
- int4 len;
-
- if ( query->size == 0 )
- elog(ERROR,"Empty");
-
- q = (ITEM*)palloc( sizeof(ITEM) * query->size );
- memcpy( (void*)q, GETQUERY(query), sizeof(ITEM) * query->size );
- len = shorterquery( q, query->size );
- PG_FREE_IF_COPY(query,0);
-
- if ( len == 0 ) {
- res = (text*) palloc( 1 + VARHDRSZ );
- VARATT_SIZEP(res) = 1 + VARHDRSZ;
- *((char*)VARDATA(res)) = 'T';
- } else {
- nrm.curpol = q + len - 1;
- nrm.buflen = 32;
- nrm.cur = nrm.buf = (char*)palloc( sizeof(char) * nrm.buflen );
- *(nrm.cur) = '\0';
- infix( &nrm, true );
-
- res = (text*) palloc( nrm.cur-nrm.buf + VARHDRSZ );
- VARATT_SIZEP(res) = nrm.cur-nrm.buf + VARHDRSZ;
- strncpy( VARDATA(res), nrm.buf, nrm.cur-nrm.buf );
- }
- pfree(q);
-
- PG_RETURN_POINTER( res );
-}
diff --git a/contrib/intarray/_int.sql.in b/contrib/intarray/_int.sql.in
deleted file mode 100644
index 4d9031f6532..00000000000
--- a/contrib/intarray/_int.sql.in
+++ /dev/null
@@ -1,437 +0,0 @@
--- Create the user-defined type for the 1-D integer arrays (_int4)
---
-BEGIN TRANSACTION;
-
--- Query type
-CREATE FUNCTION bqarr_in(opaque)
-RETURNS opaque
-AS 'MODULE_PATHNAME'
-LANGUAGE 'c' with (isstrict);
-
-CREATE FUNCTION bqarr_out(opaque)
-RETURNS opaque
-AS 'MODULE_PATHNAME'
-LANGUAGE 'c' with (isstrict);
-
-CREATE TYPE query_int (
-internallength = -1,
-input = bqarr_in,
-output = bqarr_out
-);
-
---only for debug
-CREATE FUNCTION querytree(query_int)
-RETURNS text
-AS 'MODULE_PATHNAME'
-LANGUAGE 'c' with (isstrict);
-
-
-CREATE FUNCTION boolop(_int4, query_int) RETURNS bool
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
-COMMENT ON FUNCTION boolop(_int4, query_int) IS 'boolean operation with array';
-
-CREATE FUNCTION rboolop(query_int, _int4) RETURNS bool
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
-COMMENT ON FUNCTION rboolop(query_int, _int4) IS 'boolean operation with array';
-
-CREATE OPERATOR @@ (
- LEFTARG = _int4, RIGHTARG = query_int, PROCEDURE = boolop,
- COMMUTATOR = '~~', RESTRICT = contsel, JOIN = contjoinsel
-);
-
-CREATE OPERATOR ~~ (
- LEFTARG = query_int, RIGHTARG = _int4, PROCEDURE = rboolop,
- COMMUTATOR = '@@', RESTRICT = contsel, JOIN = contjoinsel
-);
-
-
---
--- External C-functions for R-tree methods
---
-
--- Comparison methods
-
-CREATE FUNCTION _int_contains(_int4, _int4) RETURNS bool
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
-COMMENT ON FUNCTION _int_contains(_int4, _int4) IS 'contains';
-
-CREATE FUNCTION _int_contained(_int4, _int4) RETURNS bool
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
-COMMENT ON FUNCTION _int_contained(_int4, _int4) IS 'contained in';
-
-CREATE FUNCTION _int_overlap(_int4, _int4) RETURNS bool
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
-COMMENT ON FUNCTION _int_overlap(_int4, _int4) IS 'overlaps';
-
-CREATE FUNCTION _int_same(_int4, _int4) RETURNS bool
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
-COMMENT ON FUNCTION _int_same(_int4, _int4) IS 'same as';
-
-CREATE FUNCTION _int_different(_int4, _int4) RETURNS bool
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
-COMMENT ON FUNCTION _int_different(_int4, _int4) IS 'different';
-
--- support routines for indexing
-
-CREATE FUNCTION _int_union(_int4, _int4) RETURNS _int4
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
-CREATE FUNCTION _int_inter(_int4, _int4) RETURNS _int4
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
---
--- OPERATORS
---
-
-CREATE OPERATOR && (
- LEFTARG = _int4, RIGHTARG = _int4, PROCEDURE = _int_overlap,
- COMMUTATOR = '&&',
- RESTRICT = contsel, JOIN = contjoinsel
-);
-
---CREATE OPERATOR = (
--- LEFTARG = _int4, RIGHTARG = _int4, PROCEDURE = _int_same,
--- COMMUTATOR = '=', NEGATOR = '<>',
--- RESTRICT = eqsel, JOIN = eqjoinsel,
--- SORT1 = '<', SORT2 = '<'
---);
-
-CREATE OPERATOR <> (
- LEFTARG = _int4, RIGHTARG = _int4, PROCEDURE = _int_different,
- COMMUTATOR = '<>', NEGATOR = '=',
- RESTRICT = neqsel, JOIN = neqjoinsel
-);
-
-CREATE OPERATOR @ (
- LEFTARG = _int4, RIGHTARG = _int4, PROCEDURE = _int_contains,
- COMMUTATOR = '~', RESTRICT = contsel, JOIN = contjoinsel
-);
-
-CREATE OPERATOR ~ (
- LEFTARG = _int4, RIGHTARG = _int4, PROCEDURE = _int_contained,
- COMMUTATOR = '@', RESTRICT = contsel, JOIN = contjoinsel
-);
-
-
--- define the GiST support methods
-CREATE FUNCTION g_int_consistent(opaque,_int4,int4) RETURNS bool
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-CREATE FUNCTION g_int_compress(opaque) RETURNS opaque
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-CREATE FUNCTION g_int_decompress(opaque) RETURNS opaque
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-CREATE FUNCTION g_int_penalty(opaque,opaque,opaque) RETURNS opaque
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
-CREATE FUNCTION g_int_picksplit(opaque, opaque) RETURNS opaque
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-CREATE FUNCTION g_int_union(bytea, opaque) RETURNS _int4
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-CREATE FUNCTION g_int_same(_int4, _int4, opaque) RETURNS opaque
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-
--- register the default opclass for indexing
-INSERT INTO pg_opclass (opcamid, opcname, opcnamespace, opcowner, opcintype, opcdefault, opckeytype)
- VALUES (
- (SELECT oid FROM pg_am WHERE amname = 'gist'),
- 'gist__int_ops',
- (SELECT oid FROM pg_namespace WHERE nspname = 'pg_catalog'),
- 1, -- UID of superuser is hardwired to 1 as of PG 7.3
- (SELECT oid FROM pg_type WHERE typname = '_int4'),
- true,
- 0);
-
-
--- get the comparators for _intments and store them in a tmp table
-SELECT o.oid AS opoid, o.oprname
-INTO TEMP TABLE _int_ops_tmp
-FROM pg_operator o, pg_type t, pg_type tq
-WHERE o.oprleft = t.oid and ( o.oprright = t.oid or o.oprright=tq.oid )
- and t.typname = '_int4'
- and tq.typname='query_int';
-
--- make sure we have the right operators
--- SELECT * from _int_ops_tmp;
-
--- using the tmp table, generate the amop entries
-
--- _int_overlap
-INSERT INTO pg_amop (amopclaid, amopstrategy, amopreqcheck, amopopr)
- SELECT opcl.oid, 3, false, c.opoid
- FROM pg_opclass opcl, _int_ops_tmp c
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and c.oprname = '&&';
-
--- _int_same
-INSERT INTO pg_amop (amopclaid, amopstrategy, amopreqcheck, amopopr)
- SELECT opcl.oid, 6, true, c.opoid
- FROM pg_opclass opcl, _int_ops_tmp c
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and c.oprname = '=';
-
--- _int_contains
-INSERT INTO pg_amop (amopclaid, amopstrategy, amopreqcheck, amopopr)
- SELECT opcl.oid, 7, false, c.opoid
- FROM pg_opclass opcl, _int_ops_tmp c
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and c.oprname = '@';
-
--- _int_contained
-INSERT INTO pg_amop (amopclaid, amopstrategy, amopreqcheck, amopopr)
- SELECT opcl.oid, 8, false, c.opoid
- FROM pg_opclass opcl, _int_ops_tmp c
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and c.oprname = '~';
-
---boolean search
-INSERT INTO pg_amop (amopclaid, amopstrategy, amopreqcheck, amopopr)
- SELECT opcl.oid, 20, false, c.opoid
- FROM pg_opclass opcl, _int_ops_tmp c
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and c.oprname = '@@';
-
-DROP TABLE _int_ops_tmp;
-
-
--- add the entries to amproc for the support methods
--- note the amprocnum numbers associated with each are specific!
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 1, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and proname = 'g_int_consistent';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 2, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and proname = 'g_int_union';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 3, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and proname = 'g_int_compress';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 4, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and proname = 'g_int_decompress';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 5, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and proname = 'g_int_penalty';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 6, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and proname = 'g_int_picksplit';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 7, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__int_ops'
- and proname = 'g_int_same';
-
-
----------------------------------------------
--- intbig
----------------------------------------------
--- define the GiST support methods
-CREATE FUNCTION g_intbig_consistent(opaque,_int4,int4) RETURNS bool
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-CREATE FUNCTION g_intbig_compress(opaque) RETURNS opaque
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-CREATE FUNCTION g_intbig_decompress(opaque) RETURNS opaque
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-CREATE FUNCTION g_intbig_penalty(opaque,opaque,opaque) RETURNS opaque
- AS 'MODULE_PATHNAME' LANGUAGE 'c' with (isstrict);
-
-CREATE FUNCTION g_intbig_picksplit(opaque, opaque) RETURNS opaque
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-CREATE FUNCTION g_intbig_union(bytea, opaque) RETURNS _int4
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
-CREATE FUNCTION g_intbig_same(_int4, _int4, opaque) RETURNS opaque
- AS 'MODULE_PATHNAME' LANGUAGE 'c';
-
--- register the opclass for indexing (not as default)
-INSERT INTO pg_opclass (opcamid, opcname, opcnamespace, opcowner, opcintype, opcdefault, opckeytype)
- VALUES (
- (SELECT oid FROM pg_am WHERE amname = 'gist'),
- 'gist__intbig_ops',
- (SELECT oid FROM pg_namespace WHERE nspname = 'pg_catalog'),
- 1, -- UID of superuser is hardwired to 1 as of PG 7.3
- (SELECT oid FROM pg_type WHERE typname = '_int4'),
- false,
- 0);
-
-
--- get the comparators for _intments and store them in a tmp table
-SELECT o.oid AS opoid, o.oprname
-INTO TEMP TABLE _int_ops_tmp
-FROM pg_operator o, pg_type t, pg_type tq
-WHERE o.oprleft = t.oid and ( o.oprright = t.oid or o.oprright=tq.oid )
- and t.typname = '_int4'
- and tq.typname='query_int';
-
--- make sure we have the right operators
--- SELECT * from _int_ops_tmp;
-
--- using the tmp table, generate the amop entries
--- note: these operators are all lossy
-
--- _int_overlap
-INSERT INTO pg_amop (amopclaid, amopstrategy, amopreqcheck, amopopr)
- SELECT opcl.oid, 3, true, c.opoid
- FROM pg_opclass opcl, _int_ops_tmp c
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and c.oprname = '&&';
-
--- _int_contains
-INSERT INTO pg_amop (amopclaid, amopstrategy, amopreqcheck, amopopr)
- SELECT opcl.oid, 7, true, c.opoid
- FROM pg_opclass opcl, _int_ops_tmp c
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and c.oprname = '@';
-
--- _int_contained
-INSERT INTO pg_amop (amopclaid, amopstrategy, amopreqcheck, amopopr)
- SELECT opcl.oid, 8, true, c.opoid
- FROM pg_opclass opcl, _int_ops_tmp c
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and c.oprname = '~';
-
--- _int_same
-INSERT INTO pg_amop (amopclaid, amopstrategy, amopreqcheck, amopopr)
- SELECT opcl.oid, 6, true, c.opoid
- FROM pg_opclass opcl, _int_ops_tmp c
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and c.oprname = '=';
-
---boolean search
-INSERT INTO pg_amop (amopclaid, amopstrategy, amopreqcheck, amopopr)
- SELECT opcl.oid, 20, true, c.opoid
- FROM pg_opclass opcl, _int_ops_tmp c
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and c.oprname = '@@';
-
-DROP TABLE _int_ops_tmp;
-
-
--- add the entries to amproc for the support methods
--- note the amprocnum numbers associated with each are specific!
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 1, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and proname = 'g_intbig_consistent';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 2, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and proname = 'g_intbig_union';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 3, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and proname = 'g_intbig_compress';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 4, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and proname = 'g_intbig_decompress';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 5, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and proname = 'g_intbig_penalty';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 6, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and proname = 'g_intbig_picksplit';
-
-INSERT INTO pg_amproc (amopclaid, amprocnum, amproc)
- SELECT opcl.oid, 7, pro.oid
- FROM pg_opclass opcl, pg_proc pro
- WHERE
- opcamid = (SELECT oid FROM pg_am WHERE amname = 'gist')
- and opcname = 'gist__intbig_ops'
- and proname = 'g_intbig_same';
-
-END TRANSACTION;
diff --git a/contrib/intarray/bench/bench.pl b/contrib/intarray/bench/bench.pl
deleted file mode 100755
index 2e30956721c..00000000000
--- a/contrib/intarray/bench/bench.pl
+++ /dev/null
@@ -1,104 +0,0 @@
-#!/usr/bin/perl
-
-use strict;
-# make sure we are in a sane environment.
-use DBI();
-use DBD::Pg();
-use Time::HiRes qw( usleep ualarm gettimeofday tv_interval );
-use Getopt::Std;
-
-my %opt;
-getopts('d:b:s:veorauc', \%opt);
-
-if ( !( scalar %opt && defined $opt{s} ) ) {
- print <<EOT;
-Usage:
-$0 -d DATABASE -s SECTIONS [-b NUMBER] [-v] [-e] [-o] [-r] [-a] [-u]
--d DATABASE -DATABASE
--b NUMBER -number of repeats
--s SECTIONS -sections, format sid1[,sid2[,sid3[...]]]]
--v -verbose (show SQL)
--e -show explain
--r -use RD-tree index
--a -AND section
--o -show output
--u -unique
--c -count
-
-EOT
- exit;
-}
-
-$opt{d} ||= '_int4';
-my $dbi=DBI->connect('DBI:Pg:dbname='.$opt{d});
-
-my %table;
-my @where;
-
-$table{message}=1;
-
-if ( $opt{a} ) {
- if ( $opt{r} ) {
- push @where, "message.sections @ '{$opt{s}}'";
- } else {
- foreach my $sid ( split(/[,\s]+/, $opt{s} )) {
- push @where, "EXISTS ( select message_section_map.mid from message_section_map where message.mid=message_section_map.mid and message_section_map.sid = $sid )";
- }
- }
-} else {
- if ( $opt{r} ) {
- push @where, "message.sections && '{$opt{s}}'";
- } else {
- $table{message_section_map} = 1;
- push @where, "message.mid = message_section_map.mid";
- push @where, "message_section_map.sid in ($opt{s})";
- }
-}
-
-my $outf;
-if ( $opt{c} ) {
- $outf = ( $opt{u} ) ? 'count( distinct message.mid )' : 'count( message.mid )';
-} else {
- $outf = ( $opt{u} ) ? 'distinct( message.mid )' : 'message.mid';
-}
-my $sql = "select $outf from ".join(', ', keys %table)." where ".join(' AND ', @where).';';
-
-if ( $opt{v} ) {
- print "$sql\n";
-}
-
-if ( $opt{e} ) {
- $dbi->do("explain $sql");
-}
-
-my $t0 = [gettimeofday];
-my $count=0;
-my $b=$opt{b};
-$b||=1;
-my @a;
-foreach ( 1..$b ) {
- @a=exec_sql($dbi,$sql);
- $count=$#a;
-}
-my $elapsed = tv_interval ( $t0, [gettimeofday]);
-if ( $opt{o} ) {
- foreach ( @a ) {
- print "$_->{mid}\t$_->{sections}\n";
- }
-}
-print sprintf("total: %.02f sec; number: %d; for one: %.03f sec; found %d docs\n", $elapsed, $b, $elapsed/$b, $count+1 );
-$dbi -> disconnect;
-
-sub exec_sql {
- my ($dbi, $sql, @keys) = @_;
- my $sth=$dbi->prepare($sql) || die;
- $sth->execute( @keys ) || die;
- my $r;
- my @row;
- while ( defined ( $r=$sth->fetchrow_hashref ) ) {
- push @row, $r;
- }
- $sth->finish;
- return @row;
-}
-
diff --git a/contrib/intarray/bench/create_test.pl b/contrib/intarray/bench/create_test.pl
deleted file mode 100755
index b39d1fb473c..00000000000
--- a/contrib/intarray/bench/create_test.pl
+++ /dev/null
@@ -1,73 +0,0 @@
-#!/usr/bin/perl
-
-use strict;
-print <<EOT;
-create table message (
- mid int not null,
- sections int[]
-);
-create table message_section_map (
- mid int not null,
- sid int not null
-);
-
-EOT
-
-open(MSG,">message.tmp") || die;
-open(MAP,">message_section_map.tmp") || die;
-
-srand( 1 );
-#foreach my $i ( 1..1778 ) {
-#foreach my $i ( 1..3443 ) {
-#foreach my $i ( 1..5000 ) {
-#foreach my $i ( 1..29362 ) {
-#foreach my $i ( 1..33331 ) {
-#foreach my $i ( 1..83268 ) {
-foreach my $i ( 1..200000 ) {
- my @sect;
- if ( rand() < 0.7 ) {
- $sect[0] = int( (rand()**4)*100 );
- } else {
- my %hash;
- @sect = grep { $hash{$_}++; $hash{$_} <= 1 } map { int( (rand()**4)*100) } 0..( int(rand()*5) );
- }
- if ( $#sect < 0 || rand() < 0.1 ) {
- print MSG "$i\t\\N\n";
- } else {
- print MSG "$i\t{".join(',',@sect)."}\n";
- map { print MAP "$i\t$_\n" } @sect;
- }
-}
-close MAP;
-close MSG;
-
-copytable('message');
-copytable('message_section_map');
-
-print <<EOT;
-
-CREATE unique index message_key on message ( mid );
---CREATE unique index message_section_map_key1 on message_section_map ( mid, sid );
-CREATE unique index message_section_map_key2 on message_section_map ( sid, mid );
-CREATE INDEX message_rdtree_idx on message using gist ( sections gist__int_ops );
-VACUUM ANALYZE;
-
-select count(*) from message;
-select count(*) from message_section_map;
-
-
-
-EOT
-
-
-unlink 'message.tmp', 'message_section_map.tmp';
-
-sub copytable {
- my $t = shift;
-
- print "COPY $t from stdin;\n";
- open( FFF, "$t.tmp") || die;
- while(<FFF>) { print; }
- close FFF;
- print "\\.\n";
-}
diff --git a/contrib/intarray/data/test__int.data b/contrib/intarray/data/test__int.data
deleted file mode 100644
index b3903d0f33a..00000000000
--- a/contrib/intarray/data/test__int.data
+++ /dev/null
@@ -1,7000 +0,0 @@
-{18,31,54,95}
-{23,50,13,9,39}
-{99,54,77}
-{79,83,16,63,32}
-{52,41,61,79,94,87}
-{76,59,39,36,21}
-{}
-{41,79,76,96,3}
-{25,59,5,96,32}
-{92,58,12,57}
-{24,48,41,88}
-{39,5,17}
-{10,41,78,25,35}
-{31,89,4}
-{68,74,94}
-{97,78,44,68,81,16}
-{87,76}
-{30,81}
-{72,20,99,26}
-{87,90,98,40,44}
-{24,99,66,61}
-{79,8,48,16}
-{62,99,48,80,75,39}
-{10,60,35,15}
-{45,71,10,97,56}
-{64,79,19,31}
-{30,57,42,31,45}
-{61,42,14,26}
-{12,38,65,36,56,36}
-{17,62,18,56}
-{84,85,90,60,55,17}
-{27,11,82,20,43}
-{14,27,18,48,39,51}
-{53,13,52}
-{56,35,81,60,27}
-{79,89,89,7}
-{65,17,31,17,29,85}
-{21,3}
-{53,55,16,83,4}
-{62,3,63}
-{73,40,99}
-{23,80}
-{2,74,42,37,21}
-{12,16}
-{80,60}
-{19,62,34}
-{38,19,31,6,15,2}
-{63,96,64,4,36,15}
-{9,3}
-{91,87,15,18,7,66}
-{17,10}
-{77,96}
-{11,43,31,2,89}
-{17,77,89,50}
-{24,6,61,88,51}
-{61,50,59,90,5,89}
-{58,1,39,48}
-{78,36,70,92}
-{43,3,22,95,51}
-{}
-{88,64,25,64,86}
-{34,6,49,90,25}
-{86,35,13,22}
-{21,44,83}
-{42,88,72,65,59,96}
-{36,33,1,98}
-{16,54}
-{35,16,44}
-{73,23,20}
-{84,25,1,52,35}
-{27,36,54,87,31}
-{38,47,83,3}
-{64,13}
-{65,84,85,16,22}
-{57,9,39,73}
-{89,11,67,55,73}
-{78,39,84,63,62,45}
-{50,63,8}
-{}
-{96,36,58,65,96}
-{59,86,41,30}
-{90,60,39,47,19}
-{70,100,73,99}
-{}
-{85,14,39}
-{76,53}
-{96,38,52,13,87,85}
-{97,51,15,30,53,87}
-{30,59,9,40,13}
-{31,91,68,79}
-{37,56,39,78,75}
-{82,2,47}
-{33,25,45,40}
-{51,21,92,20,18,76}
-{84,93,36,95,34,69}
-{66,25,5,40}
-{77,6,57,42}
-{}
-{88,81,85,37,12}
-{56,73,38}
-{70,70,6,19}
-{82,54,91}
-{75,8}
-{45,33,64,90,95}
-{8,71,66,12}
-{56,26,68,94}
-{70,77,4,96,62,83}
-{23,87}
-{34,34,4,33}
-{28,84}
-{78,75,77}
-{88,53}
-{27,38}
-{2,2,82}
-{30,52,88,61,33}
-{29,72,94,68}
-{85,72}
-{88,4}
-{63,90,43,66,24,33}
-{88,48,47}
-{3,11,98,37,61}
-{45,65,63,15,38}
-{79,45,56,94}
-{56,74,78,19,76}
-{24,81,64,13,100}
-{93,27,63,71,27,3}
-{74,13,85,86,32,60}
-{98,40,63,13}
-{41,95,19,93,17,84}
-{90,28,100,100,19,2}
-{35,15,54}
-{29,81,77}
-{54,64,63,12,18}
-{38,43,85,21,35}
-{84,28,27,4,80,27}
-{80,77,55,98}
-{13,71,48,55,89,38}
-{58,43,27,5,57}
-{5,33,96,6}
-{73,93,87,69,100,24}
-{58,96,38,85,55,51}
-{37,30,88,4,8,59}
-{24,68,43,48,18,84}
-{23,100,82,30,42}
-{23,36,16,99,27}
-{41,75}
-{66,41,10,37,16,6}
-{54,49,60}
-{4,56,44,72,40}
-{71,96,67,100,59}
-{7,41}
-{8,3,27}
-{38,69,47,68,5,24}
-{43,100,59,62}
-{92,14,34,5,71,48}
-{72,5,91,29,99,36}
-{62,71,37,80,62,50}
-{32,45,17}
-{89,68}
-{52,17,55}
-{21,47,15,92}
-{36,100,5}
-{14,76,59,11,15}
-{59,72}
-{37,55,89,49}
-{87,79,96,20,93}
-{6,44}
-{32,46,25}
-{27,47,76,4,54}
-{2,16}
-{90,36}
-{11,19,27,79}
-{54,4}
-{72,88}
-{14,85,71,69,5,22}
-{31,48}
-{28,35,18}
-{77,55,100,73,57,62}
-{}
-{14,59,53}
-{98,3}
-{13,56}
-{26,61,88,54,88,33}
-{70,12}
-{55,16,15,42,76}
-{13,75}
-{97,38,82,51,86,53}
-{41,76,39,84,32}
-{94,66,47}
-{55,28}
-{}
-{94,65,59,20}
-{55,50,56,14,58}
-{14,94,52,25,69,95}
-{20,96}
-{37,38}
-{26,35,9,98,74}
-{11,9,41,79}
-{36,57,87,69,92,89}
-{11,39,60,4,47,3}
-{97,5}
-{16,58,38,98,42}
-{46,69}
-{35,54}
-{36,79,54}
-{}
-{63,78}
-{12,86,52,29,60,30}
-{29,27,58,86,42,62}
-{42,12,60}
-{90,93,85,29}
-{16,8,45}
-{29,33,85}
-{32,14,6,47,74}
-{14,85,14,26,3}
-{46,71,10,16}
-{30,63}
-{}
-{91,30,56}
-{46,36,68,91,36,88}
-{24,61}
-{66,21,80,14}
-{43,63,50,21,11}
-{38,46,18,51}
-{38,28,70}
-{17,41,76,1,30}
-{47,63}
-{56,80,85,1,7,97}
-{75,5,79,32}
-{5,17,66,51,68}
-{6,83,2}
-{25,40,79,84}
-{58,38,12,68}
-{55,86,20,67,27}
-{58,64}
-{14,51}
-{12,86,57,68}
-{61,91,65,3,83,68}
-{40,31,82,21}
-\N
-{24,64,35,32}
-{32,83,18,27,43,32}
-{50,83}
-{94,84,58,3,25,79}
-{66,2,27,36,24}
-{71,34}
-{17,57}
-{22,40,49,50,10}
-{79,62,94,78}
-{92,79,24,72}
-{23,41}
-{69,60,77,70,18,48}
-{39,45,91,85}
-{27,43,22,21,85}
-{84,51,96,7,18}
-{100,38,69,93,66,39}
-{73,42,35,15,69,98}
-{100,17,37,15,40}
-{1,91,2,17,90,48}
-{18,12,52,24}
-{39,43,89}
-{16,13,88}
-{69,8,75}
-{34,91,54,81}
-{37,68,89,1,56}
-{81,83,39,36,14}
-{12,15,2}
-{14,16,88,43}
-{59,12}
-{1,62,21,94}
-{29,43,70,52,93}
-{29,36,56,78}
-{91,56,86,89,53}
-{14,83,39,94}
-{29,58,72,4,45}
-{76,56,84,28,58}
-{4,52,6,88,43,17}
-{21,1,35,62,77,6}
-{78,74}
-{1,20,93,43}
-\N
-{30,100,35,94,74,64}
-{81,3,21,4}
-{9,19,33}
-{28,62,40,64,26}
-{69,72,26,30,90}
-{52,70,78,43}
-{91,58,33,22,92,26}
-{98,36,96,94,66}
-{86,43,82}
-{93,52,4,58,51}
-\N
-{49,61,80,79,90}
-{50,81,72}
-{57,29}
-{54,31,36}
-{52,31,6,48,2}
-{4,51,37,83,17}
-{60,20,94,82,18}
-{52,64,26,81,69,61}
-{39,8,22,2,8}
-{31,25,95,99}
-{11,72,30,95,20,28}
-{78,87}
-{21,40,98,41,73,33}
-{67,88,42,62,11,47}
-{85,1}
-{4,68,100,72,24}
-{82,43}
-{97,55,47,52}
-{51,52}
-{20,21}
-{69,46,34,59,54,61}
-{9,31,43}
-{68,20}
-{73,63}
-{71,12,93,8,48,10}
-{44,46,42,91,21}
-{98,52}
-{45,60}
-{95,38,30,3}
-{27,77,2,46,53,18}
-{99,5}
-{79,33,34,48,82}
-{3,29,82,72,35}
-{73,75,83}
-{25,43,37,26}
-\N
-{51,95,40}
-{18,23,10,90,15,20}
-{85,66}
-{25,76,22,87,88,18}
-{92,4}
-{27,51}
-{25,77,12,37}
-{44,52,69,39,21,63}
-{94,30,74,36}
-{60,18}
-{62,88,94,93,26}
-{5,72,96,25}
-{99,1,85,98,85,70}
-{33,21,37,19}
-{44,78}
-{47,2,73,32,3}
-{91,35,10,81}
-{80,64,7,45,84}
-{86,16,96,8,88}
-{32,29,84,81,30,8}
-{51,28,6,16}
-{88,51,50,54,56,96}
-{79,19,41,40}
-{40,26,10,26,2}
-{60,34,3,29}
-{68,80,70,56}
-{60,23,39}
-{50,69,6,71,70,25}
-{98,53,94,14,45,11}
-{98,39,64,89,98,32}
-\N
-{45,5,15,23,41,63}
-{54,31,55,58,32}
-{36,56}
-{38,78,65,4,75,38}
-\N
-{40,6,93,40,13,59}
-{42,50,10,65,96}
-{6,94,49}
-{63,44,36,55}
-{40,79}
-{39,75,27}
-{8,31}
-{81,75}
-{99,82,85,34,24,89}
-{86,82,20}
-{63,96}
-{47,83,29}
-{70,46,48}
-{44,11}
-{94,19,84,79,77,22}
-{68,47,100,48,65,77}
-\N
-{76,12,86,58}
-{13,14,79,61,12}
-{68,65,16,93,89}
-{95,18,29,89,92,43}
-{19,12,50,47}
-{82,93,85}
-{71,40,85}
-{95,96,100,86}
-{2,40,71,36,25}
-{11,95,25}
-{79,46,41,35,39}
-\N
-\N
-{88,29}
-{54,14,94,88}
-{59,67,81,41}
-{46,68,78,56,47,30}
-{5,76,87}
-{23,89,47,46}
-{47,98,14,31,1,60}
-{32,14,96,61,37}
-{79,66,93}
-{98,1,77,44}
-{21,68,2,31,17}
-{94,23,15}
-{48,47,57,94,49,71}
-{54,3}
-{99,40,81,86,81}
-{85,12,98,81,5}
-{60,41,21}
-{38,82,55,41,96}
-{11,98,12,69,93}
-{11,70,66,44}
-{23,92,80}
-{10,8,43,97}
-{17,30}
-{78,56,58}
-{84,87,84}
-{12,32,7,58,47,48}
-{29,46}
-{87,34}
-{59,30,72,85,71}
-{67,48,83,98}
-{35,10,73,71,1,77}
-{21,51,16,60,64,12}
-{36,61}
-{54,98}
-{44,74,84}
-{83,14}
-{71,52,48,48,15,92}
-{79,78,98,35}
-{52,29,47,86,96}
-{10,37}
-{21,25}
-{57,22,28,30,97,47}
-{15,28}
-{88,24,98,45,65}
-{78,42}
-{36,70}
-{40,48}
-{72,3,78,69,57,33}
-\N
-{21,96,16,21,75,23}
-{55,5,72,45}
-{99,2,72,29}
-{48,17}
-{84,84,40,1,59}
-{34,11}
-{34,80,45,31}
-{56,82,25,65,22,64}
-{10,4,55}
-{74,67,42,74,80}
-{84,22,42,6,87,30}
-{6,51,89,2,84,78}
-{19,95,93,87,8}
-{45,84,25}
-{7,12,16,92}
-{89,82,16}
-{22,64}
-{16,31,49,48,45,14}
-{69,64,19,14,39,8}
-{40,96,26,48,65}
-{17,45,4,57}
-{73,8}
-{85,89,1,15,74,51}
-\N
-{57,89}
-{25,12,55}
-{39,62,35}
-{85,88,71,98,83}
-{64,63,75,72}
-{100,40,38,1}
-{2,44}
-{13,46,59,43}
-{87,9,93,50}
-{77,7,11,30}
-{61,11,18}
-{19,25,68,83}
-{67,25}
-{54,18,85}
-{96,81,38,11,3}
-{87,32,47,79,62,56}
-{42,49}
-{41,65,24,13,79,75}
-{85,32,96}
-\N
-{3,63,47,84,67,13}
-{53,57,59,61}
-{95,27,8,89,35}
-{76,78,76,76,14,37}
-{31,62,65}
-{97,57,60,80}
-{18,81,93,67}
-{8,10}
-{65,25}
-{68,1,62,63,64,88}
-{27,56,74}
-{29,61,78,40}
-{54,72}
-{96,30,71,21,99}
-{67,11,67}
-{26,65,31}
-{89,90,89,68}
-{56,39,63,39}
-{50,67}
-{72,100,24,84,9}
-{29,57,65,37,3}
-{72,75,79,30}
-{78,44,87,67}
-{100,19}
-{35,60,82}
-{16,83,69,38}
-{29,98,13,60}
-{42,60,87}
-{18,67,60}
-{31,77,50}
-{3,22,40,59,7}
-{82,80}
-\N
-{32,92,70,30,18,35}
-{48,38,92,82}
-{10,92,66,59}
-{4,67,42,21,71}
-{27,88,20,21,9}
-{46,22,27,85,36}
-{42,55,36}
-{24,2,96}
-{96,48,40,48,52}
-{15,5,90,10,68,20}
-{30,2,67,92,96,63}
-{16,82,87,26}
-{88,98,76,29}
-{29,11,94,23}
-{58,20}
-{52,18,55,73}
-{20,81,52,19,37}
-{93,21,97}
-{2,77}
-{46,91,80,48,71,20}
-{87,7,93}
-{68,77,61}
-{59,33,52}
-{67,62,89,2,62,90}
-{30,82,72,44}
-{72,18,60,38}
-{11,14,59}
-{74,65,54,58,67,66}
-{74,56,40,73,50,66}
-{42,17,56,59,53,19}
-{75,25,76,9,72,50}
-{14,57}
-{61,47}
-{90,11,72,13}
-{52,27}
-{80,84,53,55,98}
-{16,26,55,17,79,96}
-{42,73,77}
-{6,84,67,54,96}
-{99,48,99,63,73,77}
-{5,41,72,5,88,81}
-{19,20,20}
-{21,89,55,44}
-{82,67,11,64,61,5}
-{44,34,8,62,53}
-{75,53,66,36,100}
-{46,65,6,70,4}
-{84,10,56,35,18}
-{65,60}
-{88,56,27,11}
-{10,9,97}
-{97,49,100,100,76,32}
-{2,98,57}
-{47,57,84,74,79}
-{80,9,24}
-{96,33,86,28,19}
-{43,76}
-{46,14,55,92}
-{60,69,66,62,22}
-{45,85}
-{45,9,36,13,45,1}
-{24,49,8,37,66,64}
-{98,53,96,47,2}
-{36,44,32,4}
-{77,36,78,51,63}
-{82,36}
-\N
-{54,55,33,45,69,18}
-{82,93}
-{65,59,2,62,10,25}
-{75,70,76,69,7,23}
-{10,34,67,85}
-{94,66,28,40,64,41}
-{35,73,64,28,45,68}
-{75,2}
-{58,49,4,87,19}
-{91,99,11,66,75,70}
-{26,64}
-\N
-{13,51,18}
-{39,33,21,18}
-{27,50,82,2,3,71}
-{51,89,44,53}
-{88,91,34}
-{45,96,27,12,51,52}
-{31,96}
-{2,9,54,89}
-\N
-{57,99}
-{87,84,70,7,98,42}
-{32,80}
-{57,64,28}
-{24,39,76,4,30}
-{59,38,15,45,47,28}
-{71,20,37,1}
-{72,59}
-{7,44}
-{50,37,18,1,58,40}
-{13,18,21,56}
-{72,3,26,74,91}
-{60,22,71,49}
-{55,82,61,8,48,66}
-{28,22,75,41,52}
-{51,63,27,41,16}
-{59,89,40,85,86}
-{12,1}
-{52,11,6}
-{37,10,43,88,15,7}
-{14,94,81}
-{34,56,57,4}
-{81,43,11,88,74,76}
-\N
-{67,10,50,79,70,35}
-{14,51}
-{49,50,23,84}
-{51,41,57,100,19,14}
-{31,55,40,96}
-{8,42,33}
-{83,34,1}
-{56,80,22,93}
-\N
-{8,77,91}
-{58,39}
-{55,30,74}
-{50,22,63,73}
-{80,19,67,70,18}
-{7,99,45,23,59,78}
-{36,97,10,33,22,45}
-{43,78,90}
-\N
-{1,68}
-{63,95,54}
-{5,67,61,37,89}
-{32,97,2,56}
-{83,31,6,80,63}
-\N
-{34,15,30,40,16}
-{13,43,6}
-{35,86,31}
-{45,59,4,95,26}
-{63,48,25}
-{56,97,89,45,87,21}
-{42,81,69}
-{49,99,87}
-{81,21,15,36,70,2}
-{93,41,53}
-{54,71,82}
-{88,90,51}
-{100,35,18}
-{88,81}
-{76,16,87,14}
-{16,83,81,44}
-{16,53,100,91}
-{55,75,92}
-{27,97,76,88,66}
-{14,100,95,95}
-{95,84,93,29,67}
-{32,10}
-{82,12,51}
-{40,6,18,14,29,70}
-{3,100,81}
-{83,69}
-{35,63,31,15}
-{5,100,81,54,37,78}
-{99,76,33}
-{88,85,16}
-{46,20,15,10,6,90}
-{53,15,75,76,94}
-{5,76}
-{16,7,21,70}
-{3,84,15}
-{29,58,73,91}
-{82,39,64}
-{49,66,83,76}
-{79,49,19,67,18,76}
-{9,56,41}
-{12,22,19}
-{62,54}
-{20,73,40}
-{34,53,58,68,96}
-{97,14,61,63}
-{38,55,90,63}
-{83,78,81,29,12,46}
-{96,97,40,89,10}
-{67,33,19,19,74,47}
-{78,31}
-{92,74,93}
-{59,54,90,52,29,87}
-{92,39,55,89,81,21}
-{20,85,64}
-{13,97}
-{88,18,85,24,54,90}
-{67,51,47}
-{27,29,90}
-{48,27,7,92}
-{100,37,24,41,68,66}
-{45,7,100,83,51}
-{34,10}
-{60,36,44}
-{55,46,4}
-{86,64}
-{61,77,98,64}
-{14,82,14,50,1}
-\N
-{53,31}
-{64,43,35,44,98,75}
-{98,15,52,58,76}
-{55,94,92,40,80}
-{1,14,100,42,45,74}
-{13,90,84,97,18,92}
-\N
-{13,91}
-{67,33,15}
-{18,96,38}
-{95,70,34,100}
-{17,29,64,32}
-{19,14,83,69,60,99}
-{69,29,64,61,45,17}
-{78,48,24}
-{40,60,61,93,17}
-{19,89,22,71}
-{48,8,13,11,56}
-{75,18,77,100}
-{29,78}
-{51,92,97,31}
-{83,5,2,97,68,69}
-{39,86,86,94,41}
-{66,21,27}
-{30,84,11,60}
-{50,61,28,46,38,45}
-{12,59,66,80,15,64}
-{69,22}
-{30,54,58,99}
-{14,28,80,22}
-{44,31,14,61,83,72}
-{55,53,78,91,76,55}
-{43,3,90,22,7}
-{51,34,24}
-{3,99,5,72,82}
-{95,38,61}
-{22,8}
-{78,40,93,65,18,26}
-{21,17,19,8,89}
-\N
-\N
-{94,88,27}
-{49,45}
-{67,24,64,86,18,1}
-{5,33,18,84,51}
-{15,71,89,48,94,81}
-{71,69}
-{98,63,73,64}
-{14,75,12}
-{47,42,88,13}
-{35,51,60}
-{63,41}
-{73,11,66,99,8}
-\N
-{2,17,6,44,97}
-{95,24}
-{2,13,35,21}
-{76,29}
-{81,37,21}
-{23,63,27,53}
-{70,66,58,27,4}
-{69,62,22}
-{62,96,44}
-{68,87,99}
-{51,40,81,52,93}
-{81,11,45,92,22,21}
-{5,39,46}
-{44,7}
-{14,63,62,9,12}
-{9,19,90,72,51}
-{70,61,24,36}
-\N
-{29,19,3,30}
-{76,86,28,58,38}
-{59,27}
-{9,65,65,10,37,6}
-{89,51,50,23}
-{65,2}
-{33,51}
-{25,55,69,55,1,78}
-{76,71,93,46,23}
-{70,30,50,11,2,89}
-{74,39}
-{4,29,22,80,15,23}
-{16,30,69,76,61,67}
-{43,34,4,70,36}
-{59,32,25,93,32,98}
-{64,4}
-{52,33,47}
-{31,49,7,62,7,95}
-{44,69,12,45,34,8}
-{81,37,83,35,3}
-{24,74,16,89,94,27}
-{79,71,72,49,88,35}
-{17,96,72,87,48}
-{81,18,50}
-{11,19,70}
-{42,95,42,58,90}
-{27,65,83,86,33}
-{55,7}
-{43,55,92,79}
-{97,55}
-{85,25}
-{93,42,69,44,26,78}
-{2,40,46,19,84}
-{8,42,16,26,87}
-{36,8,42}
-{31,47,61,44,13}
-{85,97,47}
-{27,30,71,88,15,100}
-{69,27,4,19}
-{3,52,31,62,98}
-{64,86}
-{91,6}
-{76,40}
-{57,77,7,40}
-{71,34,48,53,37}
-{36,72}
-{61,99,53,2,31,6}
-{86,15}
-{52,93,59,51}
-{57,27,52}
-{48,67,31,69}
-{34,90,37,73,60,83}
-{71,24,49,59}
-{93,71,90}
-{77,31,77}
-{47,40,32,20}
-{97,40,63,80,44}
-{88,55,10,40}
-{86,36,40,72,38,9}
-{31,97}
-{56,19,55,62,60}
-{53,95}
-{33,36}
-{50,12,55,42,96,100}
-{41,17,100,76}
-{65,1,61,69,64,21}
-{90,92}
-\N
-{74,42,86}
-{2,4}
-{99,78,5,92,1,61}
-{1,69}
-{80,73,60,31}
-\N
-{10,25,13}
-{50,34,75}
-{12,90,6,36,42}
-{23,54,46}
-{67,28,66,87}
-{8,88,88,51,55,32}
-{15,19,24,91,75}
-{80,16,70}
-{41,7,90,37}
-{97,57,32,21}
-{54,74,29,12,55,78}
-{60,76,37,92,44,73}
-{1,56,14}
-{40,79}
-{97,1,30,78,56}
-{36,25,61}
-{33,3,51,30,38}
-{2,94,19,15}
-{7,38,72}
-{96,18,3}
-{18,95,15,62,74,53}
-{59,61}
-{18,66,66,65,4,33}
-{49,83,10}
-{17,52,90,39,61,87}
-{38,92,55,26}
-{8,43}
-{77,51,68,23,47}
-{27,65,24,43,88,73}
-{54,34,30,2,19,62}
-{12,36,81,24,66,8}
-{38,91,90,99,84}
-{51,55,94,97,91,15}
-{50,42,20,22}
-{70,4,22}
-{64,26}
-{56,86,16,21,31,61}
-{7,19,86,49,10,53}
-{81,16,74}
-{95,9,11,46,47}
-{34,23,16}
-{94,38,19,4,4}
-{39,79}
-{41,3,62}
-{84,67,53,90,46}
-{17,46,23}
-{62,1,5,58,52,1}
-{23,83,80,62,19}
-{99,61,77}
-{51,95,48,96,75}
-{39,2,6,95,43,36}
-{69,9,59}
-{62,97,31}
-{75,96}
-{33,29,35,13,94,78}
-{28,71,16,99}
-{72,86,25}
-{5,28,15,33}
-\N
-{13,13,52,20}
-{58,98,83,85,81}
-{13,75,42}
-{7,91,3,83,82,37}
-{72,91}
-{10,67,61}
-\N
-{43,86,76}
-{36,62}
-{64,56}
-{63,13,22,24}
-{76,49,38,23,9,8}
-\N
-{92,58,24,19,96,90}
-{24,37,76,37,1,95}
-{91,9}
-{46,35,48,37,91,76}
-{72,21,6}
-{30,80,39,90,89,18}
-{83,30,67,17}
-{43,36,46,43}
-{4,31,34,36,33,48}
-\N
-{16,49}
-{75,56,8,91,4}
-{92,80}
-{74,72,68,89,7,82}
-{79,17,26}
-{14,15,28,72,58}
-{42,21,9}
-{71,39,98,98,61}
-{68,63,23,74,74,48}
-{91,80,22,100,57,30}
-{63,60}
-{90,9,10,67,89,14}
-{53,93}
-{75,49,34,30,38}
-{2,43}
-{32,4,24,48,23,31}
-{45,24,31,15,51}
-{65,62,21}
-{83,50}
-{10,90,98,86,87,1}
-{63,2,9,17,30}
-\N
-{77,46,60}
-{49,39}
-{37,86,4,63}
-{33,28,37,33}
-{4,88,80,14,47,45}
-{90,64,17,65}
-{60,90,12}
-{7,2,38,33}
-\N
-{39,90,7}
-{89,32}
-{27,47,63,31}
-{54,10,10,73,84,87}
-{55,58,25,87}
-{41,24}
-{71,26,8,31}
-{74,19,33,81,74}
-{47,58}
-{44,16,22,59}
-{2,10,97,16,25}
-{1,98,3,41,6,80}
-{12,13}
-{3,50,61,85}
-{54,5,44,97,71,86}
-{54,72,94}
-{59,13,28,79}
-{73,68,7,13}
-{90,49,63,45}
-{95,47,84}
-{31,79,98,22}
-\N
-{13,15,83,89,87,20}
-{1,58,87}
-{15,21,39}
-{93,27}
-{40,81,13,31}
-{29,52}
-{28,48,36,41}
-\N
-{71,23,89}
-{29,59,31,45,35}
-{49,83,24,19,44,26}
-{41,61,36,34,38,88}
-{66,17,18,9}
-{55,38,93,33}
-{84,42,71,15,12}
-{11,38,78,80,90,92}
-{1,6,28,68,58}
-{96,63,73,22,74,29}
-{65,97,68}
-{92,29,92,36}
-{47,25,30}
-{25,44,67,95,16}
-{7,26,41}
-{79,12,44,69}
-{17,27,4,60}
-{45,30,57}
-{68,24,63}
-{39,64,94,92}
-{27,68,39,68,75,8}
-{88,48,48}
-{86,86,8,54,7,45}
-{93,60,14,90,14}
-{97,42,54,67,38}
-{13,38}
-{84,34,30}
-{34,71,77,71,13}
-{82,18}
-{53,7,79,79}
-{28,65,38,20,93,100}
-{96,10}
-{94,12,93,48,51,20}
-{12,4,41,11,25,59}
-{95,69,23,25,1,19}
-\N
-{44,38}
-{12,4,96,7,48}
-{18,24,52,81,58,77}
-{15,36,1,50,81,23}
-{39,66,74}
-{52,22,99}
-{51,11,77,44,22}
-{51,19,18,91,75}
-{20,17,5,96,63,30}
-{31,56,9,21}
-{45,70,31,62,9}
-{84,22}
-{99,62,97,44,87,90}
-{95,94,95,24,25,47}
-{79,72,57,18,3,26}
-{54,67,37,57}
-{3,90,9,3}
-{95,90,40,7}
-{36,70,76,68,14,71}
-{15,59,7,1,48}
-{91,29,79,62,94}
-{76,36,92,82}
-{50,79,68}
-{55,63,88,87}
-{86,89,49,17}
-{19,74,14,52,8,59}
-{8,58}
-\N
-{77,74,20,39,26,29}
-{38,89}
-{58,21,44,81,17,16}
-{40,72,12,32,90}
-{93,34,92,17,39,85}
-{39,2}
-{43,21,83}
-{81,3,59,28}
-{34,97,52}
-\N
-{84,90,6,74,43,70}
-{41,6,10,98,86,41}
-{13,72,78,11,37,5}
-{100,40,54,75,33}
-{66,31}
-{58,58,75,83}
-{81,90,8,73,87,41}
-{9,63,22}
-{19,66,19,93,52}
-{39,88,13,25,66}
-{80,85,66}
-{66,76,11,71,97,77}
-{70,35,87}
-{36,17,69,2,41}
-{30,85,65,39,38}
-{39,35}
-{64,100}
-{83,53}
-{25,29,29,72}
-{19,63}
-{32,2,82,15}
-{31,31,46,11,2}
-{41,1}
-\N
-{55,41,15}
-{18,61,43,22,100}
-{47,60,16}
-{80,5}
-{52,2,76}
-{40,26}
-{81,12,16,25}
-{31,93,89,20,95,75}
-{26,75,86,1}
-{36,69,70,73,79}
-{38,39}
-{45,49,52}
-{88,53,45,10,49,31}
-{21,14,1,83}
-{7,71}
-{59,38,83,64,44}
-{6,52}
-{99,99,26,54,47,8}
-{13,46,72,5,23}
-{7,86,40,73,55}
-{28,47,50,62,44}
-{32,89}
-{39,48,50,100,62,95}
-{66,56,11,21,58,59}
-{7,44,95,53,95,36}
-{83,33,79}
-{34,65,51,52}
-{67,95,46,45,61}
-{69,84,71,38,46}
-\N
-{24,57,48,27,97}
-{83,91,97,94,37,44}
-{22,31,38,77,21}
-{72,32,53}
-{30,45}
-{93,94,27,95}
-{95,4,79,3}
-{33,90,92,54}
-{55,8,76,39,85,64}
-{82,54,93}
-{31,42,5}
-{38,14,73,12,14}
-{64,13,64,28,32,89}
-{5,28,4,22,72}
-{37,78,94}
-{58,73}
-{24,57,33}
-{48,28}
-{69,42}
-{97,91,75,84}
-{95,69}
-{64,95}
-{1,3}
-{76,38,81,11,90}
-{21,30,54}
-{92,100,97,21}
-{10,76,64}
-{85,79,100,79,76,63}
-{13,96}
-{91,47,84}
-{100,19,45,49}
-{99,71,21,10,69}
-{19,41,7,63,56,85}
-{16,32,6,92}
-\N
-{62,7,22,65}
-{1,86,67,47,83}
-{26,2,100,51,1}
-{20,22,86}
-{74,95,79}
-{8,53}
-{85,59,61,45,83,8}
-{2,76,63,26}
-{40,42,84,55,56,23}
-{37,7,25,14,2,47}
-{86,16,98,41,33}
-{76,30}
-\N
-{16,88,61,4,41,42}
-{59,92,94,76}
-{96,76,57,62,99,61}
-{14,30,23,13,9,32}
-{47,49,86}
-{48,19}
-{73,25,40}
-{29,75,31}
-{53,26}
-{28,95,78,84}
-\N
-{22,77,13,64,68}
-{15,69,82,26}
-{42,37}
-{64,59,95}
-{37,72,86,95}
-{9,59,92,57}
-{65,37,13}
-{93,67,81,54,89}
-{21,52,78,59,30}
-{98,90}
-{17,35,57,4}
-{44,56}
-\N
-\N
-{25,26,13}
-{62,41,60}
-{28,92,16,74,4}
-{92,19,85,77,11}
-{20,67,85,22}
-{75,69,34,29,64,73}
-{70,40,2,29}
-{87,27,70,54,6}
-{10,8,9,62}
-{71,41,14,22,23}
-{83,79,46,37,99}
-{79,42,3,54,20}
-{12,60,42,100,39,33}
-{13,79}
-{95,28,54,52,77,3}
-{55,50,25,41,42,16}
-{96,67,23,54}
-{65,54,32,52,16}
-{100,11,69,96,95}
-{1,18,93}
-{53,78}
-{24,40,47,30,40,11}
-{87,7,12,10,52,90}
-{3,72,95,15,32}
-{60,69,19,8,43,72}
-{88,10,11,55,37}
-{67,48,31,48}
-{98,70,38,97,14}
-\N
-{52,12,94}
-{41,26}
-{81,65}
-{66,74,9,66,12,3}
-{47,6,33,92}
-{95,2,12,90,73,97}
-{23,76,34,23,2,20}
-{7,22,37,83,15}
-{44,61,21,8,36}
-{88,52,8}
-{66,3,67,43,87}
-{16,51,10}
-{66,43,28,69,70}
-{47,2,94}
-{57,67,55}
-{40,59,6}
-{63,19}
-{51,71,68,28}
-{73,97,48,56,70}
-{3,4,28,48,18}
-{31,94,27,70,44}
-{85,18,40,6}
-{78,91,79,88,33}
-{11,90,78,49,97}
-{74,91,27,79,75,53}
-{1,70,3,40,43,99}
-{97,35}
-{58,27,40,6,47,33}
-{43,42,60,94}
-{41,34,23,53}
-{57,44,50}
-{8,10}
-{49,53,22}
-{91,2,90,13}
-{46,80,27,82,42,99}
-{12,96,72,23,83,56}
-{48,82,71,8,35,16}
-{38,69,38,49,47}
-{80,28,13,9}
-\N
-{84,13,12,33}
-{31,57}
-{68,86}
-{4,96,64,19,48,29}
-{66,8}
-{33,86}
-{32,38,86,86,41,84}
-{38,51,31}
-{59,17,76,36}
-{52,87,60,54}
-{7,58}
-{34,52,58,90}
-\N
-{30,67,97,2,1}
-{93,10}
-{47,16,46,8,39,84}
-{90,77,37}
-{92,58}
-{38,94,49,53,11}
-{70,49,35,67,18,28}
-{58,81}
-{79,100,9}
-\N
-{97,13,56}
-{99,40,87,67,58}
-{24,47,19,16}
-{12,27,47,48,3,59}
-{1,58,15}
-{97,28,6}
-{94,50,31}
-{71,34,94,53}
-{26,5}
-{46,66,56,27,37}
-{76,4,1}
-{80,63,40}
-{89,82}
-{39,100,71,82,95,8}
-{81,86,27,83,57,47}
-{30,30,92,8,33}
-{95,20}
-{4,19,8,74}
-{20,32,83,62,19,18}
-{75,29}
-{100,13,6,41,23}
-{63,5,93,72,43}
-{64,13,73}
-{35,91,61,26,41,96}
-{49,56}
-{2,28,80,84}
-{15,48}
-{32,49,96}
-{72,73,57,69,16}
-{95,1,88,64}
-{70,55,88,66}
-{76,66,30,92,1}
-{88,21,74,65,93}
-{72,75,75,3,26}
-{55,32,85,68,84}
-{45,40,93,33,72,20}
-{83,89,6}
-{4,60}
-{72,56}
-{73,7,69,25,96,74}
-{100,72,41,48,63,37}
-{21,72,70,94,67,54}
-{6,9,58,77,35}
-{70,59,35,25}
-{86,96,87,62,13,5}
-{93,52,74,57,58}
-{93,23,88,50,56}
-\N
-{95,72,68}
-{63,52,58,41,54,90}
-{52,23,53,32}
-{93,87,39}
-{23,73,6,46,79,72}
-{44,17,12}
-{79,59}
-{31,62,14,26,75,23}
-{64,72,18,48,63,50}
-{71,40,59,87}
-\N
-{82,17,10}
-{44,29}
-{6,4,39,16,21}
-{94,17}
-{91,61,37,36,9}
-{53,38,7,28,92}
-{95,93,35,18,48}
-{35,77,53,87,97,92}
-{56,28,68,19,28,86}
-\N
-{23,91,56}
-{97,5,89,24}
-{18,81,17,78,63}
-{83,19,46,10,22,66}
-{100,17,45}
-{25,87,61,79}
-{17,57,99,1,39,1}
-\N
-{2,51,26}
-{93,69,84,85,87}
-{40,58,70}
-{86,84,96,41}
-{28,36}
-{39,85}
-{16,84,75,68,87,17}
-{14,84,57}
-{25,85,35,82,56}
-\N
-\N
-{7,30,17,2,66,91}
-{45,17,57,27,98,65}
-{57,86,15,40,68,23}
-{82,32,28,89,41,79}
-{28,3,35,61}
-{76,95,19,81,48,50}
-{34,6,85,47,65,2}
-{70,23,91,33,15}
-{30,24,47,96,61,47}
-{78,88,64,60}
-{87,40,86,97}
-{47,14,54,37,100}
-{48,95,32,77,69}
-{58,12}
-{63,20,49}
-{78,85,41,72,6}
-{39,20,89,21,62,76}
-{71,6,10}
-{63,4,71}
-{51,21,37,63,54}
-{66,6,63,12,58}
-{89,97}
-{64,70}
-{53,1,65}
-{57,73,30,26}
-{15,99,47,89,95,99}
-{12,86,7}
-{50,68,1,31,67}
-{47,86,54,44}
-{78,7,86,76,22}
-{46,71,98,62,67}
-\N
-{64,91,80,63}
-{82,61,17,58}
-{85,64,90}
-{37,26,64,97}
-{68,25,26,61,68}
-{11,21}
-{63,53}
-\N
-{87,88,75,65,10,48}
-{32,7,38,72,44}
-{99,81,59,10}
-{31,58,60,66,41,28}
-{23,27,57,74,4}
-{20,94,28,29}
-{91,5,15,61,50,29}
-{34,58,15,85,65,29}
-{52,50,2,95,87}
-{3,94,54}
-{7,61,96,49}
-{51,70,23}
-{87,49,27,6,7}
-{83,61}
-{36,92,48,57,20,83}
-{53,12,60}
-{60,11}
-{68,43,74,23,66,55}
-{66,8,54,24}
-{48,72,41,74}
-{81,99,50,33,20,13}
-{27,80,60,83,26,74}
-{80,1,59,50,15,99}
-{11,70,20,29}
-{23,84,63}
-{63,24,91,19,28}
-{25,17,95}
-{94,13,81,69,26,89}
-{31,48}
-{45,20,74,51,62,33}
-{77,55,17,63,4,18}
-{89,14}
-{85,85}
-{23,11,85,74}
-{29,76}
-{62,40,96}
-{1,29,25}
-{56,26,12}
-{5,22,6}
-{61,9,6,85}
-\N
-{31,34,49,11,19}
-\N
-{14,20,64,73}
-{63,1,85}
-{2,58,61,100,9}
-{89,92}
-{37,13,81,77}
-{36,26,16,76}
-{78,10,10,92,63}
-{68,6,35,71,92,27}
-{2,88,33,14,85,27}
-{80,95,71,98}
-{8,33,33,55,90}
-{62,74,15,10,64}
-{60,18}
-{6,77}
-{27,38,4,49,27,89}
-{94,84,94,8,98}
-{15,73,47,47,26}
-{73,38,69,90,9,13}
-{17,33,32}
-{51,57,25,40,41,37}
-{77,70}
-{66,10}
-{50,90}
-{96,88,30,65}
-{30,49,100}
-{34,46,19,89,52,24}
-{83,85,62,72,10,64}
-{98,56,23,77,79}
-{97,90,83,85}
-{19,66,70}
-{70,89,59,12,71}
-{24,96,22,4}
-{43,32}
-\N
-{92,85,41}
-{96,90}
-\N
-{4,5,82}
-{58,32,34,86,30}
-{51,8,44}
-{31,96,37,47}
-{51,15,41,97}
-{86,41}
-{41,26,61}
-{62,79,68,73,5}
-{32,9,88,30}
-{89,34,64}
-{70,18}
-{64,31}
-{14,73,1,50,75}
-{57,1}
-{53,92,38,13,56}
-{41,1,87,40,60}
-{83,75,19}
-{69,98,25,64}
-{69,75}
-{84,13,25,8,81}
-{41,52}
-{90,80,17}
-{19,53,72,62,94}
-{29,30,99,32}
-{32,85,73,26,47}
-{6,48,89,93,23}
-{73,47,93,10,48}
-{60,21,26,60,63}
-{85,41}
-{75,61,61,45}
-{51,7,5}
-{9,46}
-{83,36,7,84,96}
-{71,78,55}
-{43,53,88}
-{8,1,80,69}
-{88,86,51,12,37}
-{45,69,40,85}
-\N
-{36,53,60,15,7,7}
-\N
-{92,5}
-\N
-{51,13,34}
-{39,23}
-{16,26,93}
-{91,96,19}
-{89,64,2}
-{8,74,29,24,66}
-{26,19,30,27}
-{81,59,52}
-{99,28}
-{5,12,63,79}
-{14,80,90,83,47,79}
-{67,64,32,58,44,19}
-{27,32,52,79,55}
-{68,87}
-{14,31,20,12}
-{38,99,65,32,15}
-{27,57,35,17,53}
-{63,64,6,60}
-{70,38,47,65}
-{24,87,20,4}
-{86,27,19,56}
-{62,44,1}
-{46,10,26,48}
-{40,57}
-{61,9,59,80,51,20}
-{83,44}
-{77,1}
-{78,63,42}
-{75,93,95,76,9,52}
-{20,58,10,37}
-{72,75,41,73}
-{63,93,5}
-{57,65,47}
-{34,6,51,38,21}
-{54,7,19,9}
-{61,6,47,64,100,86}
-{39,45,55,17}
-{81,53,67,33,70}
-{11,94}
-{57,98}
-{78,81}
-{75,71,20,8,13}
-{3,2,58,95}
-{37,58,5,46,54}
-{40,50,36,27,69}
-{73,42,86}
-{97,73,87,80,38}
-{27,56,94,73}
-{80,81,74}
-{53,79,86}
-{79,4,55,21,34,74}
-{84,63,21,97,92,38}
-{72,38,76,63,97,79}
-\N
-{64,91,100,98}
-{34,10}
-{97,73,7}
-{49,31}
-{87,39,65,96}
-{54,88,60,55,18,4}
-{20,72,96,26}
-{40,51}
-{37,46,89}
-{88,53,3,52,39}
-{10,34,77,95}
-{20,66,84,12}
-{51,19,61}
-{67,35}
-{73,56,89,43,35}
-{94,54,27,63}
-{63,53,21,79,76,49}
-{79,23,28,63,49}
-{47,94,75,11}
-{67,95,56}
-{80,86}
-\N
-{62,73}
-{98,69,11,57,24,90}
-{87,41,77,21,94}
-{21,87}
-{3,40,75}
-{67,53,78,29,16}
-{18,46,70,76,98}
-{14,67,50,63,22}
-{4,2,92,4,8}
-\N
-{41,76,79,95,96,61}
-{35,30,18,57}
-{34,91,89,27}
-{22,25,9,34,85}
-{4,53}
-{23,6,65,86,56,93}
-{54,81,8,59,36,47}
-{90,10,4,25,31,46}
-{91,82,82,80}
-\N
-{64,12,59,21,10}
-{49,93,76,26}
-{22,10,21,15,57}
-{14,29,93,31}
-{68,21}
-{62,95,12}
-{34,74,55,4}
-{26,39,93,31}
-{67,31,63}
-{23,89,98,88}
-{48,93,22,79,28}
-{1,88}
-{95,74,84,18,38}
-\N
-{82,29,22,45,15,81}
-{15,48}
-\N
-{17,36,97,77}
-{93,59,71,15,51,35}
-{67,33,57,11}
-{35,80,72,43}
-{69,89,69,48}
-{52,29,16,52,100,22}
-{60,30,45,19,25}
-{28,3,39,86,13}
-{81,40,25,20,39,5}
-{77,14,93,47,23,6}
-{42,19}
-{52,52,98}
-{9,29}
-{78,77,6,72}
-{2,59,73}
-{13,85,77,26,29}
-{64,63,94}
-{54,76,3}
-{7,1,5,91,100}
-{24,94,57,94,79,55}
-{4,22,1,75}
-{34,53,19,87}
-{69,75}
-{71,47,47,61,42,89}
-{3,32}
-{84,61,4,13,73}
-{74,61}
-{47,65,85}
-{50,84,83,18}
-{51,97,11,3}
-{59,92,4}
-{49,42,65,27,97,52}
-{19,33,40,44,71,100}
-{82,68,99,60,47,59}
-{47,33,82}
-{3,45}
-{47,28,60}
-{3,98,60,30,50}
-\N
-{11,40}
-{33,67,72,43,74}
-{9,49}
-{42,47,48}
-{53,88}
-{17,87,28}
-{20,4,72,62}
-{65,25,22,76,64}
-{9,62,57}
-{59,93,52,93,60}
-{85,85,1,55,50}
-{69,22,57}
-{8,50,81,32,4}
-{80,47}
-{60,88}
-{16,54,80,66}
-{99,87,66,65}
-{60,19,58,18}
-{14,77,66,48,59,41}
-{75,96,82}
-{42,72,93,79}
-{14,23,78,82,40}
-\N
-{29,47,16,41}
-{13,11,45,67,23,92}
-\N
-{8,3,52,41,56}
-{57,41,63}
-{5,50,59,87,50,58}
-{58,99,9}
-{60,99,15,63}
-{59,14,9}
-{68,81,34}
-{83,18,3,94,39}
-{27,52,100,66,48,82}
-{10,23,50,96}
-{72,14,12,68,62}
-\N
-{45,30,55,86,89,48}
-{5,80,97}
-{52,67,86,81}
-{99,4,38,79}
-{21,98,78,71,73}
-{10,23,38,61}
-{12,17,19,70}
-{79,23}
-{55,66,65,60,19}
-{7,34,68,88}
-{37,70,5}
-{41,57,86,31,10,6}
-{70,59,96,78}
-{88,18,32,22,56,21}
-{93,72,81,47,89,72}
-{100,14,49}
-{83,80}
-{73,11,97,14}
-{60,47,32,34,13,29}
-{39,6,88,24,6}
-{54,66,55,52,47}
-{56,89,88,98,94,48}
-{2,37}
-{13,54}
-{68,39,68}
-{60,81,10,85}
-{74,54,14}
-{30,52}
-{41,74,47}
-{77,28,8}
-{90,3,43,89,4}
-{29,46,84,63,79,83}
-{26,15,80,19}
-{76,28,77,6,47,91}
-{51,15}
-{93,15,51}
-{8,68,34,58,15}
-{5,56,57,81}
-{27,87,61,54,41}
-{31,37}
-{68,80,3,98,49,6}
-{96,10,39}
-{25,19,21,72,79}
-{69,1}
-{5,51,61,80}
-{76,25}
-{36,92}
-{54,46,31,87,13,8}
-{25,13,83,57}
-{29,53,73}
-{83,60,26,19}
-{27,89,34,13,20,38}
-{29,74,26,67,65}
-{90,36}
-\N
-{32,15,43,50}
-\N
-{55,86,68,51}
-{91,14,53,70,49,38}
-{75,29,79}
-{19,59,38,44,18,79}
-{43,31,24,20,16}
-{43,83,59,37}
-{61,17,95,61}
-{67,89,1}
-{65,20,46,58,49}
-{72,54,38,52,49}
-{75,12}
-{63,95}
-{99,17,79,11,35}
-{62,60}
-\N
-{69,83,89,73,20}
-{30,60,39,73}
-{78,99,29,45,61,21}
-{38,61}
-{51,15,47,11,4}
-{34,75}
-{57,26,42,42}
-{8,90,4,68}
-{63,70,99,3}
-{74,70,33,50,59}
-{27,18,73,83}
-{36,90}
-{82,77,2,83}
-{90,99}
-{15,25}
-{65,30,39,82,89,34}
-{12,24,64,54,49,83}
-{54,59}
-{63,49,81,36,75,52}
-{6,59,90,55,87}
-\N
-{97,52,54,97,3}
-{8,53,89,42,30}
-{68,42,64}
-{97,42,99,74}
-{19,31,32,52,7}
-{69,83}
-{61,17,35,39}
-{81,47,70,7,63}
-{78,10,63,97,31,48}
-{84,92}
-{64,82,40,39,57,44}
-{39,25,92,33,5}
-{27,74,85}
-{90,67,21,28,84}
-{36,33,62}
-{77,87,98,82,11,88}
-\N
-{11,41,17,91,56}
-{1,1}
-{84,100,8,22,20}
-{57,39,85,5}
-{55,47}
-{13,2,36,59,45}
-{95,66,53,32,29}
-{21,92}
-{35,32,9,58,77}
-{19,71,99,82}
-{19,37,87,43}
-{100,18}
-{67,86,29,40}
-\N
-{66,54,64,55}
-{67,25,18,31}
-{60,26,59,86,26,67}
-{26,21}
-{70,67,30}
-{93,82}
-{89,58,39,91,95}
-{15,86,25,8,12}
-{59,20,41,33,78,87}
-{10,72,89}
-\N
-{52,17,99}
-{77,29,7,7,1}
-{49,96,57,24,66,67}
-{10,26,83,84}
-{82,7,25}
-{66,77,57,25}
-{92,77}
-{24,48}
-{44,26,37,75,11}
-{73,80}
-{51,47,93,21,25,78}
-{76,49,15,98}
-{12,85,63,59,6}
-{25,51,47,58}
-{16,10}
-{17,30}
-{67,5}
-\N
-{54,96,21}
-{12,47}
-{29,90,69,22,89,82}
-{78,93,86,65,66}
-{83,84,58,67,13}
-{85,35,81,27,1,2}
-{76,29}
-{64,82,91}
-{35,89,38,89,10}
-{19,40,96}
-{83,70,85}
-{72,85,70,99}
-{34,1,39,16}
-{84,53,22,86,73}
-{32,23,70,49}
-{15,67,91,11}
-{73,95}
-{71,57,64}
-{88,91,56}
-{12,16}
-\N
-{62,82,26,84}
-{70,51,52,63,96}
-{34,93,49,57}
-{16,5,47}
-{18,59,12,82,83,51}
-{61,93,87,9}
-{46,9,45,38}
-{15,85,28,73}
-{31,99,26,3}
-{66,91,48,73}
-{98,80,9}
-{31,55,42,69,13,58}
-{43,8,70,29,83}
-{39,57,53,70,74}
-{89,13,60,38,89,3}
-{37,28,15}
-{67,77}
-{30,100,89,36,53,75}
-{36,19,48}
-{7,8}
-{12,76,26}
-{14,56,52,47,39,67}
-{87,83,51,2,97,25}
-{51,1}
-{59,69,37}
-{95,93,21}
-{100,92,37}
-{37,23,66,95,7,63}
-{52,56,77,86,46}
-{31,62,17}
-{57,48,79}
-{26,96,40,5,43,54}
-{40,92}
-{75,83,1,73,71}
-{75,61}
-{6,38}
-{35,23,76}
-{52,3,38,25,100,99}
-{45,15,44}
-{96,9,11,35,16,58}
-{9,80,76}
-{22,43,34,43,46}
-{34,68,21}
-{95,70,83}
-{60,7}
-{34,22,68,2}
-{78,30}
-{46,70,90,96}
-{5,24,69,61,32}
-{41,17,79,27}
-{59,88,64}
-{12,48,41,68,15,98}
-{43,84,59,62,36,14}
-{84,8,71,88,4,23}
-{45,67,67,17}
-{14,96,72,66}
-{91,23,4,11,28}
-{18,5}
-{65,51}
-{31,87,33}
-{17,97,76,81,69}
-{56,71}
-{95,23}
-{33,58,66,47}
-{46,99,69}
-{43,87,40}
-{49,1,26}
-{18,36,89,87,25,100}
-{76,37,19}
-{57,91,9,100,23,59}
-{80,60}
-{55,23,32,49}
-{15,73}
-{87,50}
-{43,62,50,54}
-{65,3,89,49,77}
-\N
-{73,12,25,78}
-{79,89,38,59}
-\N
-{44,62,25}
-{96,13,57}
-{35,14,3}
-{90,71}
-{34,8,59,81,63,90}
-{15,90,89,32,69}
-{90,61,54,10,29}
-{22,3,85,41,66}
-{17,4,99,91,45,57}
-{89,32,43,39,61,9}
-{45,40,6}
-{47,100,75,8,85}
-{88,43,89}
-{45,41}
-{54,48,87,66,100,5}
-{58,65,39}
-{17,82}
-{95,14,31,51}
-{30,3,46}
-{8,66,22,52,51,24}
-{61,62,38}
-{4,50,83,32,76}
-{96,36}
-{87,27}
-{82,100,44}
-{30,91,44}
-{29,48,8,38,43,96}
-{56,65}
-{34,36,99,11}
-{11,1,25,65,12,89}
-{17,100,62,53,24}
-{86,81,63}
-{17,63,30,82,87,91}
-{12,63,76,78,85}
-{52,19}
-{21,91,53,86,49,83}
-{67,65,78}
-{8,77}
-{89,1,56,100,72,96}
-{20,51,41,21,30,20}
-{41,73,37,92,9,5}
-{95,34,21,12}
-{28,14,2,62}
-{14,74,33,32}
-{37,82,67}
-{65,99,56,11,21,83}
-{99,51}
-{56,42}
-{59,30,74,40}
-{18,27,63,44,86}
-{48,25,41}
-{5,26,63,88}
-\N
-{24,66,64,1,26}
-{72,74,11,61,70}
-{28,27,90,30}
-{96,35,21}
-{64,100,75,94,88,3}
-{93,79,42}
-\N
-{37,51,4,41}
-{31,68}
-{93,42}
-{76,96,47}
-{8,6,16,57,51,72}
-{67,72}
-{50,36,40}
-{69,28}
-{17,92,40}
-{72,74}
-{76,87,93,22,95,30}
-{14,88}
-{39,56,74,36,25,87}
-{55,68}
-{32,9}
-{35,2,17,86}
-{92,73,82}
-{40,13,95}
-{15,28,95}
-{65,40}
-{47,56}
-{63,72,78,20,22}
-{71,49,4,80}
-{68,16,50,44,29,38}
-{81,96,23}
-{44,73}
-{4,68}
-{30,54,41,66,89}
-{92,33}
-{10,92,49,46,59,42}
-{14,91,18,96,27,37}
-{40,32,12}
-{14,97,15,96,44}
-{75,96,52}
-{50,20,9}
-{39,84,83}
-\N
-{14,48,3}
-{47,85,76,27}
-{5,3,25}
-{55,36,29,76,41,44}
-{34,56}
-{62,29,83,6,58}
-{67,32,85}
-{75,62,4,66,100}
-{47,31,27,43,9,57}
-{92,44,36}
-{31,22}
-{14,88}
-{18,25}
-{82,63}
-{54,67,6,59}
-{90,42,19,91,37,75}
-{70,39,87,52,32}
-{51,20,34}
-{85,62}
-\N
-{95,6,55,93}
-{44,67,15}
-{93,58,20,12}
-{42,6,22,29,36}
-{46,81}
-{57,95,56,52}
-{3,79,69,45,8,74}
-{75,44}
-{4,17,78,96,66,41}
-{27,100}
-{85,76,22,17,45,58}
-{9,12,70,29,96}
-{5,68}
-{54,79,5,19,17,24}
-{99,13,9,52,86}
-{94,6,99,57}
-{71,62}
-{63,50,9}
-{42,42,80}
-{25,96}
-{93,20,10}
-{83,73}
-{14,76,36}
-{57,31,29}
-{17,25,18,18,54,95}
-{34,27,86,37,92,83}
-{57,57,28,32}
-{98,53,60}
-{8,59,41,88,49,46}
-{95,42,30}
-{12,51,98,74,76}
-{6,49,26}
-{21,35,27,32,83,93}
-{16,56,89}
-{85,34,73,74}
-{52,95,22,4,71}
-{96,42,63,88,80,91}
-{78,34,41,99}
-{11,68,27}
-{50,14}
-{78,52,66,15}
-{100,82,1}
-{35,2,93,71,45}
-{4,56,8}
-{83,19,5}
-{82,39,63}
-{50,64,83,87,76}
-{47,59,93,88,22,67}
-{16,6}
-{86,98,88}
-{32,4,52,34,30,71}
-{68,25,97}
-\N
-{19,17,91,84}
-{97,88,89,98,33}
-{37,56,70}
-{27,17}
-{56,58,51}
-{69,80,47,84}
-{89,22,89,88,16,1}
-{95,14}
-{14,95,97}
-{47,15}
-\N
-{19,20,65,74,83,38}
-{57,56}
-{78,67,68,89,1,95}
-{61,84,93}
-{10,56,96,31,56}
-{3,51,90}
-{15,85,42,25,15,41}
-\N
-{50,7,89,89,96}
-{90,10,44}
-{11,43,15,27,30}
-{55,68,48,30,44}
-{38,69,3,95,39,6}
-{57,51,88,94,82,23}
-{69,37,2,67,49}
-{93,94,5,84,39,47}
-{45,47}
-{58,55,79,63,64}
-{63,65,59}
-{42,36,76,75,89,86}
-{41,83,98}
-{13,90,13,46,11,37}
-{76,33,52,65}
-{52,29}
-{20,60,45,23,29}
-{89,6,14,8}
-{91,69,64,72,41}
-{46,91,31,66,83,33}
-{6,58,61,65}
-\N
-\N
-{90,65,16,5}
-{24,46,33,36,47,45}
-{11,62,40,98,21,88}
-{28,95,58,33,27}
-{45,63,99,31,38,90}
-{11,49,41}
-{23,24,82,25,28}
-{42,3,34}
-{52,10,58,88,97,37}
-{20,41,11}
-{86,30}
-{36,92,93,10}
-{5,36,85,50,71}
-{51,75,100,46}
-{55,81,31,45,87,8}
-{83,10,45,81,33}
-{16,94,91,23,76,44}
-{62,73,14,39}
-{16,14,83,100,82,7}
-{25,69,86,12,71}
-{29,86,45}
-{76,62,100,47,57,52}
-{41,21}
-{33,56,58}
-{23,96,44,16,91,86}
-{65,15}
-{3,92,56,4,21}
-{32,39,95}
-{95,87}
-{65,96}
-{16,96,93,100,35,78}
-{64,33,55}
-{96,75,41,40,62}
-{50,50,86,11}
-{93,34,83}
-{19,30,62,67,93,19}
-{53,67}
-{55,46,99}
-{70,32,38,4,84,91}
-{50,36,40}
-{21,93}
-{29,6,10}
-{4,73,45}
-{72,33}
-{36,73,18,55,27,100}
-{65,73,98,90}
-{20,1}
-{59,36,60,87}
-{20,79,63,93,34,31}
-{60,18,92,6}
-{48,34}
-{63,70,78,1,2}
-{15,32}
-{5,15,84,73}
-{32,35,90,11,40,23}
-{91,41,7,52}
-{84,90,88,30}
-{12,10}
-{84,86,36,79}
-{76,45,84,66}
-{41,25,61,96,97}
-{18,100}
-{63,39,17,34,32}
-{22,45,74}
-{83,24,45,48,69,84}
-{43,41,12,44,75,91}
-{69,75,95}
-{100,28,14,66,1,14}
-{94,91,60,36}
-{88,28,54,63}
-{68,78}
-{29,68,6,100}
-{12,84,35,44,59,55}
-{30,59}
-{64,18,40,57}
-{97,97}
-{85,64,73,82,49,88}
-{99,31,24,6,90}
-{23,89,38,20,40,95}
-{84,64}
-{21,3,91,7,7,87}
-{91,74,32,76,43}
-{13,22,96,8,75}
-{59,71}
-\N
-{34,94,45}
-{14,5}
-{95,10,37,74}
-{69,82}
-{6,58,45,49,81}
-{72,72}
-{17,58,10}
-{62,77,9,6,44,62}
-{37,53,49,41}
-{24,11,11}
-{10,57}
-{26,72}
-{18,15,83,60,54,80}
-{88,49,73,92,67}
-{26,88,64,2,59}
-{49,50,3,90,44,49}
-{58,54,43}
-\N
-{86,78,40}
-{42,17,65}
-{1,86,17,6}
-{79,27,37,60,8}
-{46,62,46,22}
-{9,75,17,68,54,35}
-{99,86,64,10,20}
-{3,21,35,6,24,64}
-{25,62,9,50}
-{63,2,79,42,81}
-{44,41,2}
-{99,93,98,78}
-{2,92,9,96}
-{79,82,25,64}
-{47,84,52}
-{97,77}
-\N
-{47,94,38}
-{22,33,76}
-{35,52,11}
-{17,48}
-{1,100,27}
-{87,93,19}
-{72,3,32,78,81}
-{47,28,4,23,79}
-{27,88,7,85}
-{49,40,47}
-\N
-{91,89}
-{80,2}
-{86,78,42,6,81}
-{7,50,25,4,8,22}
-{23,3,64,59,53}
-{1,42,63}
-{95,81,86,31}
-\N
-{81,83,52,47,25,43}
-{17,57,100,49,59,63}
-{44,91,95,72,29,100}
-{80,78,55,41}
-{14,52,20,64,9,87}
-{48,14,82}
-{31,5}
-{64,50,66,38,97}
-{61,2,90,2,64}
-{64,69,26}
-\N
-{64,62,68,89,12}
-{12,10,88,71}
-{41,66}
-\N
-{67,77,25,6}
-{14,75,15,66,19}
-\N
-{88,52}
-{78,56,61}
-{93,88,47,38,52}
-{72,100,54,34,18}
-{77,99,89,53,25}
-{38,51}
-{3,25}
-{83,39,85}
-{60,15,77,59,69}
-{38,64,91,97}
-{65,35,30,8}
-{46,6,48}
-{63,91,29,91,85}
-{43,100,56,60,74,53}
-{95,30}
-{86,63,28,62,37,79}
-{2,48,29}
-{1,44,20,47,56}
-{43,34,86,86,64,14}
-{11,82,99,71,63,41}
-{77,45,74,17,56}
-{18,25}
-{51,82}
-{27,35}
-{1,20,84}
-\N
-{89,37,16,90}
-{58,83,34,88,50,21}
-{61,25,1}
-{41,6}
-{9,100,32,54,38,66}
-{40,53}
-{29,76,16,13,55,31}
-{71,67,54,83,3,82}
-{19,62,18,94,73,38}
-{17,83,8,45,52}
-{80,25,50,59,53}
-{4,2}
-{52,48,6,72}
-{50,32,70}
-{36,97}
-{17,82,36,97,20}
-{22,87}
-{46,29,96,98,14,90}
-{14,92,5}
-{69,9,68}
-{20,86,29,61,54}
-{62,67,87}
-{86,18,31,80,82,45}
-{65,89,67,34,41}
-{44,8,48,38,91}
-{47,32}
-{85,25,56,39}
-{15,54}
-{84,57,44,46}
-{65,61,29,86,77,53}
-\N
-{26,58}
-{76,1,57,93}
-{57,91}
-{13,15,66,11}
-{84,12}
-{43,32}
-{83,24,31}
-{82,9,65,84,27,94}
-{62,93,55,7,39,46}
-{90,100,33,22,61,46}
-{9,51}
-{87,93,82,94}
-{49,45,95,95,66,39}
-{100,56}
-{11,5,78,42,45,37}
-{3,57,80,46,13,34}
-{1,74,53,31,33}
-{11,84,8}
-{27,99,21,31,96,58}
-{99,81,90,17}
-\N
-{66,49,47,55}
-{88,30}
-{76,62,17,88,83}
-{40,7,42,61}
-{17,57,9,64,54,1}
-{9,54,84}
-{50,61}
-{72,15,25,30,6}
-{64,95,69,89,11}
-{64,18,86,25}
-{81,59,70,6,92}
-{78,76}
-{33,40,29}
-{15,63,1,12,14,57}
-{33,81,8,65,26}
-{58,15,56,37,67}
-{2,50,35,92,11,27}
-{17,13}
-{91,100,15,27,39,24}
-{58,48,46}
-{5,95,28}
-{7,21,99}
-{5,15,6,10}
-{82,99}
-{66,22,86,83,76}
-{99,68,39}
-{43,90,22}
-{31,94}
-{21,64,56,26,95,40}
-{7,81,3,53,83}
-{29,42,90,60}
-{53,49}
-\N
-{26,31,14,73,88,51}
-{69,2,100,9,34,16}
-{78,35,97}
-{68,16}
-{34,45,42,73}
-{7,19,55,70,69,11}
-{11,62,61}
-{32,17,51,33,87,6}
-\N
-{54,97,36,13,45,12}
-{46,2,26}
-{14,6,17}
-{99,20,31,61,6,4}
-{60,72,53,31,34,25}
-{88,46,68,78}
-{56,94,49}
-\N
-{33,65}
-{70,51,84}
-{55,91,27,33}
-{22,19}
-{34,78,11,94,3}
-{16,67,91}
-\N
-\N
-{64,5}
-{76,18,83,5}
-{57,13,30,56}
-{60,92,25,31,43}
-{38,17,54,5,2}
-{56,58,39}
-{42,43,5,69,56,89}
-\N
-{50,23,97,85,70,39}
-{97,56,33,90,64,2}
-{9,54,51,26,24,99}
-{18,7,59}
-{44,5,40,69,18}
-{77,96}
-{44,58,47,17,26,45}
-{90,71}
-{88,32,11,96,17,13}
-{42,3}
-{97,28,56,10}
-{38,36}
-{50,52,47,31}
-{64,5,99,77,83}
-{11,56,1}
-{91,92}
-{7,53,35,52}
-{93,65,47,97,44,82}
-\N
-{64,66}
-\N
-{62,4,57,23,34,91}
-{52,55,75,99,27}
-{29,54,44,87,61,96}
-{21,3,66,35,25,80}
-{96,68}
-{3,41,66,81,78}
-{49,98,79,65}
-{71,38}
-{88,79,70,37,3,82}
-{49,74}
-{19,29}
-{57,68,9,8,99}
-{81,88,14}
-{99,29,24,99}
-{55,96,29,89,49}
-\N
-{56,2,84,79,74}
-{30,52,64,74,62,5}
-{88,32,19,25,9}
-{40,11,49}
-{98,52,27}
-{11,86,29,86,6}
-{91,53,63,53,44,28}
-{88,10,30,48}
-{75,64,75}
-{14,92}
-{98,62,35,67,66,35}
-{40,65,11,80,73}
-{1,1,63}
-{85,32,53}
-{91,27,68,50,66,63}
-{66,54,38}
-\N
-{45,43,14,94}
-{62,84}
-{54,24,83,33,46}
-{93,72,2}
-{43,4,14}
-{18,11,5,99,79,94}
-{26,59,9,2}
-{58,69,70,45,14,54}
-{84,5,42,97}
-{7,82,41}
-{69,53,8,55,20}
-{4,13,6,45,83}
-{41,92,41,98,51,85}
-{72,85,74}
-{19,50,79}
-{79,47,47}
-{25,25}
-{17,56,46,30,73,78}
-\N
-{92,42,83,34,92,29}
-{8,52,76,80,9,55}
-{80,100,2,52,24,4}
-{55,15,92,27,86,50}
-{83,79,41,88,86,53}
-\N
-{44,16,90,54}
-{99,20,64}
-{44,30,26,26}
-{35,35,24,74,72}
-{97,24,94,55}
-{78,42,32,76,100,98}
-{31,86,12,87,72,86}
-{87,35,33,88,33}
-{31,83,23}
-{46,51,5,6,71,31}
-{39,97,91,53,39}
-{19,18,25}
-{16,4}
-{65,77,13}
-{61,30,13,26,75}
-{67,9}
-\N
-{31,3}
-{15,19}
-{97,39,71,30}
-{12,96}
-{36,96,82,62,5,74}
-{81,22,46,11,19}
-{97,55}
-{58,67}
-{10,68,79,74,23}
-{29,71}
-{50,59,8,1}
-{12,51,32,7}
-{62,16}
-{48,82}
-{84,21,24,13}
-{46,86}
-{100,96,32,54,13}
-{72,41,3,67}
-{61,9,7,75}
-{39,44,50,30,38,6}
-{63,63,6}
-{69,35,6}
-\N
-{7,91,82,48,55}
-{57,22,31,57}
-{55,72,91}
-\N
-{76,98,43,71,10}
-{100,34}
-{78,53,14,73,23}
-{42,90,28,44,44}
-{90,34,22,81}
-{60,32,56}
-{98,53,58,58,61}
-{61,70,59,78}
-{2,96,27}
-{83,99,25,47,13}
-{17,54,11,47,70}
-{70,43,11,89}
-{93,70,82}
-{72,57}
-{35,95,49,36,19}
-{82,25,16,49,43,93}
-{2,51,96,48,88}
-{20,81}
-{74,4}
-{66,83}
-{90,75,98}
-{25,87,59,92,55,96}
-\N
-{20,80,92,93}
-{59,63,39,3,7,38}
-{64,10,85,22}
-{63,32,18,38,83}
-{49,38,83,54,1}
-{27,97}
-{18,34,84,58,7,86}
-{93,4,67}
-{43,49,32}
-\N
-{29,14,5,50,30}
-{59,15}
-\N
-{76,31,31,47,17,35}
-{95,41,71,27}
-{47,43}
-{75,80,56,78}
-{56,75,43}
-{99,10,100,76,44,1}
-{5,31,72,3,25}
-{21,90,59}
-{59,45,75,93,78,88}
-{76,55,4}
-{20,87,44,94,56,78}
-{38,87,71,13,23}
-{33,6,79,91,92,27}
-{13,15,31,15,11}
-{57,18,57,71,11}
-{67,60,64}
-{66,15}
-{57,45,74}
-{93,91,97,30,12,94}
-{37,83,62,18,28}
-{94,88}
-{12,11,85,10}
-{42,96,89}
-{15,65,5,65}
-{52,58,36,27,10}
-{72,88,76,50,96}
-{40,70,55,93}
-{80,33,24}
-{53,35,50}
-{11,37,55}
-{25,80,32,91,68}
-{11,2,52,39,37}
-{17,51,45,44,85,84}
-{81,21,77,15}
-{67,93,27,70,72,94}
-{86,99,95,98,83,28}
-{9,65}
-{1,26,5,23,5,17}
-{57,82,42,60}
-{46,67,65,98,69,79}
-{41,50,94}
-{77,81}
-{87,82,18,57}
-{88,27}
-\N
-{32,58,81,88,94,90}
-{23,37,65,38,29}
-{61,11,65,77,25}
-{50,53}
-{38,2,11,9,27,94}
-{64,9}
-{1,45,97}
-{61,41,67,46}
-{13,41,90,15,80,82}
-{83,6,9,22,25,37}
-{95,74,22,64}
-{16,17,4,80,66,33}
-{25,42,43,84,96,85}
-{25,93,50,87,6}
-{35,67,90}
-{82,37,59}
-{4,44,83,2,81}
-{78,46}
-{64,79}
-{18,41,3}
-{56,20,51,83}
-{26,77,52,70,93,13}
-{54,53,12,47,57,63}
-{94,48}
-{39,12,41,5,3}
-{28,33,93}
-{20,29,9}
-{75,38,10}
-{96,54,96}
-{47,87}
-{19,35,11,3,80,72}
-{75,56,84,24,55,48}
-{58,5,13,6}
-{10,53,32,6}
-{23,8,59}
-{71,2,35}
-{41,16,99}
-{77,6,16}
-{30,27,56,85,11}
-{47,21,93,82}
-{50,68,85,34,19,57}
-{14,76,58}
-{78,81}
-{68,99}
-{19,79,67}
-{91,73,82,88,44,36}
-{49,18,75,32}
-{54,18,99,74,9}
-{51,58,60,30}
-{99,86,83,22,88}
-{24,42,76,30}
-{86,16,54,69}
-{37,39,72,45}
-{92,62,3,36}
-{31,80}
-{43,22,11,15}
-{38,88,95,25,49}
-{92,21,10,28,47,55}
-{99,18}
-{26,64,72}
-{29,12,17}
-{54,69,49,84}
-{57,42,4,61,10}
-{60,85,74}
-{24,29}
-{91,71}
-{96,49}
-{47,51}
-{88,67,59,18,86}
-{32,18,64,54,41,27}
-{78,100}
-{77,30,85,93,2,20}
-{80,90,68}
-{49,37,5,42}
-{88,12,94,51}
-{85,65,2,41}
-{60,38}
-{87,37,20}
-{27,81,94,37,54,84}
-\N
-\N
-{38,74,78,78,89}
-{3,100}
-{42,80,68}
-{34,17,96,91}
-{7,29,83,71,87,26}
-{28,81,76,8,43,48}
-{74,11}
-{28,85,84,78,59,69}
-{30,22}
-{3,83,75,60,78,11}
-{20,62,18}
-{74,69}
-{91,44,50,62}
-{57,18,9}
-{14,48,21,33}
-{91,1,53,58,92,51}
-{64,41,90,52}
-{81,95,38,78,7,44}
-{65,25,15,90,40,51}
-{66,41,31}
-{5,92}
-{17,98,7,57}
-{97,36,99,77,50,88}
-{96,56}
-{40,62,88,8,53,62}
-{18,91,63,93,94}
-{88,79,43}
-{31,87,98,85}
-{12,88,58,53,77,38}
-{83,10,37,69,1,7}
-{13,47,66}
-{85,33,39,48,6,39}
-{74,87}
-\N
-{26,50,26}
-{48,78,10,39,17}
-{27,43}
-{58,17,18,80}
-{86,43,58,77,67}
-{53,12}
-{9,79,9}
-{85,79,89,88}
-{35,77,22,52}
-{93,64}
-{47,52,90,17}
-{75,15,25,68,28}
-{35,6,68,37,18,53}
-{80,14,2,89,4}
-{52,49,5,66,59,44}
-{5,26,96,1,84}
-{71,8,61,19,72}
-{17,94,84,72,55,83}
-{72,10,16,40,17,75}
-{6,70,15}
-{22,99,7,19}
-{55,19,4}
-{6,47,69,42}
-{17,9,63,44,15}
-{23,20,72}
-{10,80,20,87}
-{99,3,23}
-{11,76,8,77,58,38}
-{45,14}
-{22,89,73,63,54,9}
-{16,19}
-{1,26,29}
-{92,20,65,33,16,40}
-{27,64}
-{22,19,95}
-{36,16,9,30,31,14}
-{40,50,68,52,77,58}
-{35,15,11}
-{67,2}
-\N
-{63,48,76,25}
-{14,65,42,60}
-{61,58,31,51,70,4}
-{35,41,72,29,46,62}
-{98,48}
-{90,23}
-{1,79,80}
-{10,5,54,59,16}
-{15,1,9,75}
-{34,100,90}
-{73,76,25,77}
-{98,82,77,67}
-{79,5,20}
-{9,69,9,52,2}
-{23,22,77,80,79}
-{32,51}
-{23,52,5,33}
-{95,20,96,78,48}
-{100,37,6,15}
-{98,1,53,20,97}
-{5,28,26,78,33}
-{19,75}
-{49,42,30,72}
-{50,98,56,26,87}
-{76,59}
-{51,16,18,48,46,97}
-{80,60,51,43,58,28}
-{23,12,70}
-{40,16,14,18,46,21}
-{72,79,47,57,23}
-{7,17}
-{49,95,6}
-{14,24,29,13,90}
-{82,28,34,55,15,87}
-{31,24,3,50,45}
-{86,95}
-{97,22,17}
-{27,14,27}
-{61,63,31,74}
-{55,81,87,67,90}
-{81,9,79}
-{100,29,43}
-{41,88,37,29}
-{62,57,16,91,60,65}
-{94,90,34,94,27,48}
-{15,36,80,30,23,90}
-{47,91,6,42,93}
-{53,74,5}
-{84,14,56}
-{30,56}
-{10,12,92}
-{33,7,75}
-{96,39,50,77}
-{89,85}
-{20,39,63,22,44,18}
-\N
-{90,23,79,91,85,8}
-\N
-{73,70,52}
-{75,100}
-{27,4,29,96,25}
-{56,31,80,59}
-{1,91}
-{16,67}
-\N
-{17,88,59,41}
-{13,49,29,76,71,9}
-{41,38,16,29,66,40}
-{68,67}
-{39,74,47,71,63,80}
-{4,74,33,92}
-{17,60,82,7,52}
-{62,88,39,19,22}
-{77,21,1,95,42,2}
-{98,62}
-{55,17,81,31,11,88}
-{73,52,18,94}
-{16,64,90,33}
-{87,41,81,95,85}
-{20,55,96,75}
-{71,72,11,11,83}
-{75,94,89,47,41,7}
-{56,48}
-{76,29,74,31,67}
-{47,70,68,36,70}
-{5,69,10,94,54,32}
-{29,96,71}
-{64,28,86,58}
-{82,57}
-{42,2}
-{64,48,59,8,45}
-{61,69,43,40,1}
-{69,84}
-{68,51}
-{32,20}
-{21,7,5,60,35}
-{100,40,18,98,37}
-{50,96}
-{87,10,12,27}
-{47,3,46,43}
-{60,87,10,31}
-{92,87,50,37,72,73}
-{99,61,77,87,29}
-{23,95,31}
-{96,100,43}
-{17,64,84}
-{13,19,57}
-{65,86,4,75,46,69}
-{49,60,99,37,50,11}
-{77,82,88,12}
-{12,95,66,98,63}
-{83,78,68}
-{76,14,87,25,29,14}
-{20,9,99,73,67}
-{42,51}
-{36,22,33,6,63}
-{53,46,22}
-{40,89}
-{37,7,89,17}
-{32,89,16}
-{65,87,4}
-{16,16,57,35}
-{34,90}
-{80,54,1}
-{11,93,34}
-{5,19,31,50,99,33}
-{98,1,33,54,7}
-{45,39,23,78}
-{37,47,98,83,10,5}
-{55,88}
-{42,76,18,99}
-{86,31,25,5,45}
-{67,87,47,1}
-{23,15}
-{78,88,66,96}
-{58,55,41,67,86,41}
-{21,53}
-{90,14,28,38,95,71}
-{20,5,13,52,1,88}
-{29,98,50,75}
-{91,3,24,75,82}
-{62,33}
-{56,69,31,95,66}
-{46,85,40}
-{17,22,67,57,39,16}
-{58,25,92}
-{31,53,82,64,69,40}
-{40,12,30,1,39}
-{78,10,42,40,25}
-{58,27,1,12}
-{28,11,80}
-{36,89,69}
-{50,95}
-{61,63,59,62}
-{51,77}
-{90,24,88,84}
-{61,27,57}
-{51,81,33,75,48}
-{47,30,33,23,44}
-\N
-{79,51}
-{62,44,5}
-{98,83,80}
-{31,33,89,69,19,40}
-{22,38,61}
-\N
-{90,70,10}
-{37,90,49,65,95,52}
-{95,42,4,47}
-{92,100,43,31,27,1}
-{39,17,88,20,2,80}
-{82,64,36,84}
-{31,18,21,18,52,34}
-{3,35,36,33}
-{26,39,69}
-{67,63,66}
-{54,85}
-{65,71}
-{26,14,84}
-{63,82,73,30}
-{66,79,21}
-{71,13}
-{57,25,40,14,22}
-{63,9,91,31}
-{70,63,36,32,93}
-\N
-{11,85,47,31,54}
-{34,47}
-{42,78,92,85}
-{75,64,12,83}
-{33,98,52,91}
-{22,25,91,79,33}
-{33,51,20,77,23,65}
-{83,66,46,24}
-{54,65,31}
-{43,41}
-{52,47,66}
-\N
-{59,85,85,63,83,53}
-{16,76}
-{44,97,48,52}
-{26,36,72}
-{26,55,98,7}
-{70,88,7,87,62,37}
-{11,42}
-{98,38,36,72}
-{51,90,82,33,92}
-{59,80,79}
-{76,77,18,71}
-{34,56,62}
-{85,12,37,66}
-{34,64,74}
-{77,63,28,76,11}
-{2,63,87,50}
-{60,98,60,19,15,57}
-{93,66,33,71,36,3}
-{41,94}
-{62,72,87,19}
-{57,83,36}
-{63,64,21,13,70,32}
-{71,36,9,55,34}
-{92,52,90,45,88}
-{59,54}
-{4,51}
-{55,25,35,90,93,2}
-\N
-{75,15}
-{25,86,43,18,77}
-\N
-{31,40}
-{55,49}
-{67,1,84,20,9}
-{15,1,48,18,100}
-{62,46}
-{4,39,86,55}
-{49,17}
-{65,20,71,49,55,49}
-{40,57,63,14,3}
-{48,68}
-{67,97,58,55,5,34}
-{3,73}
-{79,97}
-{82,63,87,66,32}
-{19,49,96,50,55}
-{32,19,41}
-{17,53}
-{64,81,70}
-{66,75,18,92,54,93}
-{7,94,38,86}
-{16,62,45,19,10,11}
-{18,47}
-{58,96,69}
-{65,25,58,98}
-{29,51,37,40,44}
-{91,78}
-{37,84,85,65}
-{70,61,31,22,32,22}
-{67,12,99,39,78}
-{41,79,46,54,84,22}
-{38,26,43,4,45,75}
-{29,68,35}
-{69,59,69,33}
-{4,46,52,49}
-{1,25,44,12,71,29}
-{38,75,99}
-{83,58,86,6}
-{93,35,35,34}
-{85,26}
-{15,46,95,60}
-{62,63,65,49,10}
-{44,67,19,80,83}
-{63,41,30,43,85}
-{13,46}
-\N
-{13,95,1,34,72,37}
-{4,32,22,47,6}
-{67,65,77,3}
-{40,70,22,44}
-{74,9}
-{44,28,5,32,67,51}
-{55,14}
-{41,3,72,68}
-{64,82,72}
-\N
-{11,88}
-{91,90,92}
-{68,66,95,80,58,54}
-{30,49,11}
-{54,86,59,69,67}
-{56,83,36}
-{15,67,9,47}
-{92,30,78,2,87}
-{12,54,2,1,59,36}
-{84,25,67,38,19,53}
-{28,45}
-{54,84,9,75,59,26}
-{47,35,54,93}
-{36,96,59,75}
-{78,78,52,93}
-{87,96,67}
-{5,61,15,13,27}
-{53,58,6,78,86}
-{43,70}
-{72,38,15,61,58}
-{75,27,30,12,35,71}
-{18,72,35,62,81}
-{45,10}
-{36,91,73,25}
-{81,85,22,34,29}
-\N
-{15,97,82,44,19,83}
-{51,23,18,6,74}
-{53,75}
-{62,9,73,95,37}
-{58,42,33,41,71}
-{5,97}
-{30,2,89,81,93,61}
-{32,3,18,84,24}
-{6,97,20,89,23}
-{27,74}
-{22,86,81}
-{77,19,42}
-{92,9}
-{58,90,59,91,30,54}
-{29,51,92,34}
-{85,68,59}
-{36,83,75}
-{37,50,86,9}
-{79,70}
-{33,46,93}
-{97,17,6,88,10}
-{18,42,88,4}
-{41,95,71,27,95}
-{8,2,81,56}
-{54,94,54,28,70}
-{34,87,20,10,5}
-{36,76,87,5,100}
-{97,91,25,89,89,95}
-{76,26,73}
-{82,23,7,42,58,72}
-{53,16,99}
-{10,34,57,47,2,96}
-{81,93,26,19}
-{8,1}
-{79,55,37,61,62,3}
-{34,16,69,58}
-\N
-{41,7,99,87}
-{70,21,86}
-{59,2,49,45,91,97}
-{37,2,74,2,61,68}
-{97,39,15,4,13,1}
-{67,71,8}
-{51,2,84,38}
-{55,8}
-\N
-{75,27}
-{37,36,49,70,82,41}
-{70,20,85,89,99,90}
-{69,61,100,49,75,35}
-{11,4,67,4,91,17}
-{77,56,65,78,25,8}
-{16,58,6}
-\N
-{88,38,19,88,27,27}
-{12,46}
-{36,67}
-{62,33,96,94,80,96}
-{56,94,12,1,65,54}
-{58,73}
-{19,80,27,72}
-{47,55}
-{14,91}
-{94,75,92,32,19}
-{99,12,91,4,85}
-{56,55}
-{86,83,77,66,66,87}
-{46,68,13,45}
-{49,75,62,35,39}
-{20,25,33}
-\N
-{91,47,56,68,14}
-{88,43,24,42,4}
-{50,24,94,18}
-\N
-{71,54,91,66,97,22}
-{81,16,19,67,6}
-{78,46,81}
-{63,93,71,75,87}
-{90,38,10,85,12}
-{11,24,93,42,25,77}
-{30,14,32,67,70}
-\N
-{86,91,77}
-{73,74,64,66}
-\N
-{7,18}
-{85,94}
-{37,15,55,100,59}
-{55,18,44,79,57}
-\N
-{52,40,97,75}
-{60,53}
-{38,9}
-{27,67,77}
-\N
-{43,83,82,24,35,64}
-{22,75,29}
-{9,19}
-{67,1}
-{15,35,11}
-{65,45,95}
-{65,9}
-{63,84,99,89,6,77}
-{20,44,31}
-{82,50,88}
-{29,12,46,21,98,7}
-{98,71,3,73,6,86}
-{61,44,74,2,45,33}
-{16,56}
-{31,87}
-{72,30,37,94}
-{65,30,82,17,12}
-{86,19}
-{55,76,96,61}
-\N
-{44,92,83}
-{41,22,79,95,20}
-{36,33,86,9,61}
-{22,88,8,57,73,30}
-{63,97}
-{36,53}
-{56,52,48}
-\N
-{35,8,3,93}
-\N
-{53,52}
-{7,48,78,46,70,14}
-{33,92,55,17}
-{39,57}
-{71,43,72,7}
-{92,85,55,38,35}
-{68,30,67,8,18,92}
-{9,85,82,24}
-{46,46,19,14}
-{96,97,31,59}
-{35,99}
-{54,7,20,28,29}
-{20,21,56,82,19,40}
-{2,39}
-{33,49,63,49,93}
-{35,40,26}
-{30,35}
-{94,70,2,23,91,74}
-{34,37,72,19,15}
-{92,21}
-{72,63,64,35,40}
-{59,11,9}
-{24,3}
-{93,75}
-{22,14}
-{63,99}
-{39,47,10,14,3,45}
-{51,74,5,85,70}
-{6,33,15,4,89,20}
-{97,82,29,15,66}
-{47,47}
-{88,79,57,10,68}
-{18,22,13,100,100,67}
-{75,50,9}
-{3,12,34}
-{39,51,20}
-{56,5,63,18}
-{83,44,86,46,37}
-\N
-\N
-{60,16,54,75,62}
-{91,95}
-{39,55,11}
-{37,7}
-{29,49}
-{38,4,52,85,67,38}
-{36,56,2}
-{52,14,92,39,77,16}
-{42,25,49,55}
-{70,10,33}
-{53,46}
-{83,15,28,59}
-{35,69,82,4,58,46}
-{73,55,64,9}
-\N
-\N
-{60,25,8,8,39}
-{50,71,61,64,64}
-\N
-{65,67,67,34}
-{77,59,18,64,16}
-{43,72,32,44,59}
-{55,57}
-{12,47}
-{30,75,89,81}
-{23,92,16,31}
-{64,45,21,74,19}
-{4,47,49,47,96}
-{37,14,20,18,87}
-{61,45,38,39,1,87}
-{4,98,99,52,27}
-\N
-{23,6,50}
-{22,61,46,79}
-{90,54,60,9,49,42}
-{73,27,51,72}
-{73,11,23,60}
-{7,31,52,34}
-{27,68,39}
-{39,8,21,48,64}
-{86,64,92,60}
-{55,36,40,46,23,46}
-{32,79,86,44}
-{72,29}
-{33,87,57}
-{57,87,61,22}
-{67,84}
-{32,99,26,92}
-{22,27,34,82,8}
-{99,25,99}
-\N
-{29,75}
-{39,63,25,45,7}
-{39,67,18,13,18}
-{23,83}
-{77,69,22}
-{60,13,46}
-{2,10,42}
-{37,20,27}
-{30,21}
-{85,15,52}
-{6,89,38}
-{68,22,26,37,96}
-{6,85}
-{93,51,63,46,26,64}
-{79,77,15,26}
-{90,6,39}
-\N
-{50,58,85,27}
-{69,8,72,47}
-{7,59}
-{55,16,54,95}
-{96,5,50}
-\N
-{77,92,13}
-{46,30}
-{43,65}
-{17,65,32}
-{10,6,46,1,47,75}
-{48,82,71}
-{63,12}
-{68,14,10,97,34}
-{15,45,58,100,7,74}
-{9,23,88,1,95}
-{61,60,15,12,58}
-{84,51,46,41,71,26}
-{58,62,39}
-{86,67,31}
-{32,31,89,2,30}
-\N
-{90,74}
-{65,79,76}
-{22,30,77,47,40,23}
-{67,99,56,73}
-{11,24,30,93,89}
-{70,17,65,78}
-{100,6,67,29}
-{39,4,22,59}
-{84,29,70,9}
-{74,43,72,27,55,27}
-{12,39}
-{1,83,100}
-{48,23,9}
-{21,88,21,35,16}
-{92,34,44}
-{91,96,13}
-{93,57,40,79,81}
-{86,3,94,82,43}
-{78,70,19,97,49}
-{47,22,98,36}
-{20,59,65,54,81,27}
-{58,13,73,19,54,96}
-{26,20}
-{70,75,14,70,82}
-{77,67,53,33,83}
-{2,43,36}
-{84,17,28}
-{68,25,95,62,92}
-{47,90,15,69,85,23}
-{92,92,24,37}
-{96,14,14,38,38}
-{80,4}
-{66,86,28,15}
-{18,90,74}
-{93,76}
-{64,96,14}
-{76,41,86,67,64}
-{58,95,2,86}
-{12,60,96,70}
-{22,37,58}
-{1,67}
-{75,23,24,7}
-{3,57,66}
-{57,30,68,100}
-{68,57,33}
-{26,32,65,51,75}
-{40,14,60,97,83}
-{88,96,42}
-{66,21,21,78,34}
-{15,56}
-{86,60,66,66,16}
-{94,6,58}
-{99,63,70,57,10}
-{82,59,62,38,82,51}
-{48,61,9,46,28,57}
-{29,23,61}
-{12,30,42,20}
-{99,65,24,7,97}
-{20,5}
-{6,49,85,56,97,4}
-{62,93,88,86,75,29}
-{46,2,94}
-{57,71,45}
-{38,60,21,78}
-{95,53,92}
-{61,1,88}
-{67,80,49}
-{59,82,1,48}
-{19,94}
-{25,64,16}
-{96,73,50,85}
-{28,17,46}
-{81,51,50,18}
-{57,99,66,93}
-\N
-{23,62,57,94,40}
-{21,6,83}
-{4,11}
-{83,16,50}
-{46,41,23,1}
-{4,15,8}
-{86,51,29,80}
-{48,34,55,81,89}
-{5,2,43,67,66}
-{42,59,37,91,1}
-{14,98,27,80,33}
-{18,58}
-{49,93,60,91,94,88}
-{32,62,64,63,48}
-{51,1,90}
-{56,8,68,49}
-{16,34,79,18,76}
-{66,88,41}
-{31,66,93,44,96,40}
-{100,99,30}
-{37,49,95,91,18,43}
-{95,2,94}
-{84,15,70,31,30,84}
-{31,41,45}
-{9,73,2,7,34}
-{17,35,43,1,25,72}
-{8,70,8}
-{1,93,32,16,71,61}
-{98,51,27,56,46,65}
-{1,11,57,72,33,7}
-{48,96,64,55,75}
-{83,82}
-{7,74,70,29,59,60}
-{29,44,5,77,52}
-{84,58}
-{87,63,62,52,69}
-{29,58,32,11,13,17}
-{35,99,67,67,93}
-{54,31}
-{53,24}
-{58,59,32,22}
-{8,76,23,63,94,54}
-{3,88,75,17,64,91}
-{29,30}
-{3,81,39,9,77,82}
-{77,85,59,56,8}
-{47,12,63,13,40}
-{66,81}
-{67,33}
-{39,46,28,79,95,67}
-{49,13,98,63,10,58}
-{14,42}
-{80,70,60,92}
-{63,54}
-{30,70}
-{60,89,14,62}
-{56,40,94,55}
-{70,31,46,20,95}
-{18,65,89,7,75}
-{60,33,80,43,37,4}
-{85,19,98,79,36,84}
-{69,1,48}
-\N
-{30,87,9,22,99,60}
-\N
-{23,96,9,85}
-{22,94,39,58}
-{30,38,4,97}
-{16,70,62,5}
-{35,52}
-{32,10,72}
-{35,34,40,31,66,80}
-{7,77,14,48,97}
-{67,64,37,22,69}
-{51,53}
-{67,71,90}
-{87,71,45}
-{44,84}
-{19,58,11,34,45,85}
-{68,19,55}
-{27,16}
-{7,14,92,22,33,46}
-{47,2,49,53,63,32}
-{15,39}
-{13,47,84}
-{29,74,97}
-{51,74}
-{70,26,46,33,51}
-{31,86,14,23,61}
-{20,85}
-{21,10,57}
-{90,94,59,72,97}
-{97,30,74,84}
-{15,89,69}
-{11,40,2}
-{68,19,47,28}
-{47,65}
-{2,7,52,53,44}
-{40,74,34,36,78,71}
-{22,60}
-\N
-{37,75,47}
-{53,78,2}
-{4,32,42}
-{35,76,69,88}
-{95,13,3,38,3}
-{74,74,62,90}
-{8,72,42,2}
-{11,43,5,43,70,16}
-{69,19}
-{61,37,26,49}
-{16,100,69,32,35}
-{58,77,26,76}
-{74,87,37,47,84}
-{8,82,29,93,15}
-{74,88,93,85,97,95}
-\N
-{29,23,99,98,36,93}
-{8,36,87,64}
-{71,90,43}
-{7,28,78,46,52}
-{62,25}
-{33,90,7}
-{60,72,39,18,86}
-{98,59,73,24}
-{17,69,2}
-{49,16,63,56}
-{13,37,62,1,95}
-{98,89,69,92}
-{50,26,34}
-{90,16}
-\N
-{40,54,3,79,51,19}
-{29,24}
-{6,12,82,24}
-{92,52}
-{89,2}
-{64,25,68,55,81,2}
-{64,77}
-{71,46,58,50,56,34}
-{94,17,35,30,60,33}
-{37,30,2,40}
-{98,15,16,92,2,50}
-{44,19,82,57}
-{37,34,6}
-{59,43,1,53,79}
-{7,37,14,14,92}
-{80,78,49,81,23,17}
-\N
-{91,51,12,35,79}
-{9,14,2,84}
-{62,3,77}
-{25,5,40,12,40,79}
-{65,88,82,94,89,90}
-{20,35}
-{80,71,83}
-{6,9,83}
-{94,58}
-{2,76,55,61,42,53}
-{60,53,45,82,3}
-{1,37,75,96}
-{82,61,81,10}
-{36,46,1,31,90,45}
-{22,55,11,25,21}
-{69,13,29,20}
-{95,54}
-{16,79,82,67}
-{4,58,84,84}
-{52,7}
-{25,14,94}
-{69,8,67,54}
-{30,71,36}
-{81,78,23,38,76,58}
-{86,59,61}
-{11,42,63,74,99}
-{66,4,55,34,16}
-{39,57}
-{10,81,9,8,21,10}
-{75,55,64,97,7,45}
-{8,46,86}
-{39,100,52}
-{30,51,7,13,54}
-{72,85}
-{10,52}
-\N
-{61,7}
-{93,1}
-\N
-{74,31,3}
-{90,96,26,84}
-{88,58,74}
-{28,45,74,24,74}
-{95,88}
-{42,70,43,64,22}
-{46,83,48,36}
-{81,99,100,43,11}
-{47,24}
-{46,67,63}
-{26,15,36,89}
-{90,11,78,70,81,87}
-{65,90}
-{89,99,21,81,47,38}
-{37,42}
-\N
-{94,51}
-{12,57,95,63,29}
-\N
-{68,99}
-{27,8}
-{16,52,11}
-{72,5,85,44,57,51}
-{11,6,91,7}
-{87,80}
-{94,61,1,38,77,89}
-{93,60,6,98,46}
-{52,47,44}
-{93,66,61,22}
-{7,61}
-{15,83,93,91,12,40}
-{66,3,5,72,72,36}
-{67,72,68}
-{42,42}
-{38,17}
-{75,60,47,39}
-{58,28,51}
-{61,8,61,81,65}
-{46,52,97,84,27,47}
-{97,53,47}
-{64,93,83,72,27}
-{34,79,34,36}
-{25,5,92,37}
-{12,20,55,94}
-{17,43}
-{39,37,16,70}
-{79,62,15,16,64,28}
-{80,87,96,41}
-{51,55,1,94,72}
-{75,22,56}
-{2,55,7,20,39}
-{8,91}
-{73,8,42,73,31}
-{90,90,23}
-{82,68}
-{63,64,68,12,59,19}
-{100,80,23,24,17}
-{23,46}
-{25,13,31}
-{43,95,54,85}
-{40,62,21,21,82}
-{70,20,16}
-{90,11,23,18}
-{16,9}
-{51,57,30,27,21}
-{50,55,75,77,53,33}
-{84,92}
-{14,66,32}
-{44,100,16,30,82}
-{41,48,58,60,7,44}
-{81,76,13}
-{18,26,82}
-{84,35,15,98}
-{52,84}
-{13,80,36,35,28}
-{91,16,71,55}
-{87,89,6,20,28}
-{12,75,92}
-{48,41,55}
-{59,75,26}
-{48,19,48,72}
-{91,4,100,25,17}
-{46,52,97,78,94}
-{7,81,76}
-{54,54,49}
-{89,37}
-{78,22,57}
-{75,25,83}
-{25,89,10,38,96}
-{52,12,1,74,35}
-{13,48,88,7}
-{6,97,20,19,91}
-{53,2,99,76}
-{4,58,46}
-{30,30,89}
-{97,2,87,47,55}
-{14,11,72,83,97,74}
-{44,69,11,51}
-{47,17,86,27}
-{15,19,56,96,24,94}
-{81,67}
-{11,11}
-{20,94,49,36,39}
-{39,78,40,46}
-{33,87}
-{76,89,58}
-{94,74,25}
-{33,77,5,47,55}
-{28,67,99,81,93,83}
-{31,10,19,65,60}
-{53,25,74,24,48}
-{73,69,23,45,88}
-{70,56,41}
-{21,73,72,28,99,5}
-{75,69}
-{78,99}
-{66,49,89,86,2}
-{30,53,18,21}
-{67,69}
-{1,98,38}
-{91,25,16,39}
-\N
-{75,54,93,39,18}
-{96,84}
-\N
-{64,71}
-{6,15,78,50}
-{8,45,26,15,25}
-{8,90,94}
-{52,66,13,98,86,69}
-{3,25,28,56,88}
-{84,72,89}
-{10,33,46,6,57,100}
-{13,91,99,2,49}
-{83,59}
-{88,64,42,50,77,16}
-{81,12,27,45}
-{12,17,31,93,22,53}
-\N
-{28,84,85,35,3}
-\N
-{42,12,86,76,37,63}
-{46,23,18}
-{45,80,76}
-{94,18,100}
-{17,80,84,80}
-{84,88,29,16,10}
-{7,42,90,51,33,40}
-{79,51,22,2}
-{31,30,72,24,23,84}
-\N
-{55,50}
-{69,47,82,29,83}
-{94,56,69,18}
-{7,81,71}
-{95,13,32}
-{66,59,68,62}
-{52,19,62,51,80,32}
-{38,18}
-{73,24,81,58,22}
-{11,59,41,19,96}
-{61,11,56,89,89}
-{61,72,9}
-{63,12,8}
-{76,54,75,84,6,44}
-{74,3,11,62,30,74}
-{46,60,71,55}
-{28,47,52,71,33,33}
-{35,51,37}
-{38,89,40,29,30}
-{18,26,99,89}
-{36,44,8,100,72}
-{1,23,6,5,23}
-\N
-{84,17,16,44,81}
-{29,70,24,85}
-{23,57}
-{20,98,30,23,1,66}
-{82,3}
-{70,7}
-{15,49,58}
-{19,40,70,88,35}
-{45,10}
-{62,89,47,71,55}
-{34,100,88,44,3,91}
-{92,65,16,24,7,9}
-{20,12,61,95,7}
-\N
-{57,49,42,87,88,14}
-{89,99,86,31}
-{32,55,51,78}
-{55,66,78,10,12}
-{37,19}
-{13,5,36,66}
-{89,7,40,45}
-{41,58,41,24,11}
-{98,8,9,27,40}
-{49,83,89}
-{91,36,78,44,100,62}
-{76,78,9,52,57,27}
-{100,59,37}
-{51,1}
-{92,83}
-{45,1,85}
-{8,81,45,94,32}
-{52,26,9,98,7}
-{97,52,4,85,13,11}
-{94,38,58,4,72,91}
-{5,39,26,14,74,51}
-{31,44,37,24,89}
-{8,74}
-{56,93,36,3}
-{23,46,25,90,42}
-{4,98}
-{31,95,27,26,20}
-{3,7,79,9,90}
-{29,22}
-\N
-{35,34}
-{80,28,12,21}
-\N
-\N
-\N
-{36,49,94,83,25,9}
-{6,62,89,93,59}
-{67,75,3,93}
-\N
-{94,62,3}
-{97,36}
-{43,89,26,94}
-{46,56,22}
-{50,15}
-{45,47,39,61}
-{23,32,24,45,43,11}
-{97,66,29,8,52,67}
-{37,1,48}
-{30,84,86,91}
-{4,46,59,35}
-{76,37,41,90}
-{26,28,92,27,88,17}
-{76,37,27,41}
-{74,51,31}
-{16,33}
-{66,85,68}
-{4,81,72,62}
-{65,14}
-\N
-{11,43,28,14,9,43}
-{60,88,95,1}
-{52,92,69,48}
-{37,81,85}
-{57,73,8,79}
-{50,26}
-{52,41,99,6,33}
-{9,34,58,22,9}
-{56,37,19,77,50}
-{93,21,18,90,41,40}
-{28,89,76}
-{4,36}
-{89,54}
-{70,28}
-{66,11,3,47,30,43}
-{69,54,86}
-{45,41,57,34,18}
-{91,46,32,68,42,68}
-{25,87}
-{75,57,12}
-{55,15,68}
-{6,63}
-{22,39,88}
-{77,39,10}
-{39,49,69,61,66,77}
-{78,25,42,73,89}
-{17,47,36,27,79}
-{33,83,44}
-{27,75,12,96,94,87}
-{50,17,95,42,25}
-{67,13,22}
-{59,85,95,2}
-{81,57,83}
-{25,11,72}
-{32,84,97,6,65,52}
-{62,25,24,27,50}
-{80,64,23,74,54,75}
-{97,17,15,100}
-{50,11,41}
-{57,82,40}
-{10,90,41,52,39}
-{4,11,86}
-{79,17,51}
-{48,100,92,77,58}
-{88,67,19}
-{40,96,52,35,16}
-{89,63,32,81,28,63}
-{44,56,66,50,55}
-{28,73,46}
-{32,40}
-{52,65,85}
-\N
-{51,34,18,82,83}
-{49,49,90,71}
-{84,16,74,78,86,10}
-\N
-{73,9,47}
-{51,59,49,90}
-{85,13,78}
-{98,77,18,15,92,85}
-{40,94,66,94}
-{89,51,80,12}
-{23,26,75,17}
-{96,2,51}
-{88,62,90,32}
-{85,19,87,89,30,15}
-{33,38,9,46,19,87}
-{27,45,15}
-{39,79,82,88}
-{31,33}
-{41,64,10,1}
-{35,61,22,76,74}
-{75,11,90,16}
-{71,23,43}
-{35,3,97}
-{88,4,97}
-{100,61,28}
-\N
-{64,74}
-{9,44,81,98,55}
-\N
-\N
-{76,89}
-{18,34,80}
-{77,83,91,50,20,41}
-{65,50,26,65}
-{79,18,90}
-{5,60}
-{42,21}
-{31,70,80}
-{20,98,15,14}
-{58,65,45,6,64}
-\N
-\N
-{88,82,98}
-{75,81,32,34,59}
-{37,14}
-{30,36,55,70,65}
-{84,55,26}
-{56,64,1}
-{31,41,89}
-{46,43,43,90,34,100}
-{78,36,21,14,69}
-{100,10,45}
-{73,69}
-{60,86,5,70,78,99}
-{6,89,92,8}
-{86,68}
-{44,4,71}
-{41,36}
-{95,80,42,94,34}
-{73,29,50,49}
-{61,20,57,17,36}
-{37,58,67}
-{56,83,77,37}
-{98,67,40,10,35,76}
-{54,84,6}
-{7,71}
-{65,74,43,6}
-{62,98,74}
-{81,26,17,22,47}
-{49,32,59,35,11,94}
-{80,50}
-{91,1,50,97}
-{71,35,84}
-{97,4,46,45,8,36}
-\N
-{81,62,76}
-{69,78}
-{89,3,16,64,17,17}
-{78,72,26,88,81}
-{25,34,9}
-{50,27,34}
-\N
-{55,44}
-{61,51,39,53,44,46}
-{23,94,32,92,90}
-{91,47,67}
-{1,13,76,57,63}
-{77,19,73,18,95}
-{100,82,87,6,83,23}
-{69,58,48,97,60,50}
-{4,83,85,6}
-{3,5,91,37,94}
-{91,72,31,32,80}
-{57,23,39,46,50,20}
-{92,28,53}
-{71,27,46}
-\N
-{59,73,29,21,89,30}
-{1,83,96}
-{34,41,65,35}
-{52,89}
-{62,68,80,7}
-{82,82}
-\N
-{11,2,62,46,28,9}
-{9,16}
-\N
-{22,44,73,82,39,86}
-{97,52}
-{46,36,76,56}
-{17,97,26,72}
-{16,78,9,70}
-{65,55,30,91,16}
-{27,45,76}
-{17,5,90}
-{86,52,93,89,42,27}
-{51,70,41,35,1}
-{91,57,66}
-{53,59,62,57,52,56}
-{100,100}
-{32,78,87}
-{61,57,74}
-{86,79}
-{55,94,64}
-{81,20,26,22,23}
-{9,96}
-{86,65,35,19,88}
-{1,37,90,51}
-{79,47}
-{93,93}
-{32,85,69}
-{49,12,6,69}
-{6,44,92,37}
-{28,42,57,28,2,69}
-\N
-{63,90,25}
-{53,28,74,42}
-{83,79,94,37,64,69}
-{93,100,57,84,80}
-{39,93,80}
-{97,92,55}
-{27,6}
-{20,100}
-{19,66,3,66}
-{7,76,15}
-{7,56,92,11}
-{61,76,6,98,52}
-{20,46,51}
-{12,77,45,67}
-{78,79,32,22,21,47}
-{62,35,1}
-{86,66,57,10,47,43}
-{43,24,76,18,87,68}
-{39,52,71,35,87}
-{81,78,8,10}
-{33,70,53,54}
-{25,77,27,68,95}
-{29,53,89,62,51}
-{21,76,33,72,39}
-{13,22}
-{1,1,51,73,20}
-{26,97}
-{64,75,23,94,62,68}
-{25,20,84,57,27}
-{26,7}
-{92,80,17,48,72,73}
-{73,49,88}
-{24,36,70,53}
-{7,79}
-{80,58,33,25,91}
-{19,43,61}
-{54,49,73}
-{51,88,4}
-{9,32,5,83}
-{17,68,90,15,30}
-{98,50,42}
-{29,52}
-{32,41,4}
-{33,97,69,34}
-{94,2,60,5,83}
-{23,86,43,74,35}
-{63,37,38,58,39,14}
-{56,7,82}
-{88,81}
-{50,75}
-{78,49,67,68}
-{10,61,58}
-{84,35,20,30}
-{36,34,48,31,16}
-{35,7,47,22}
-{98,40,56,43}
-{16,4,7,9,44,55}
-{86,90,30,80,47,91}
-{34,91}
-\N
-{12,67,77,23,11}
-{94,8}
-{5,68,31,82}
-{26,65}
-{51,19,86}
-{55,83,39,39,96,51}
-{31,22,70}
-{20,50,15,93}
-{1,55,64}
-{8,2,14,3,40}
-{2,71,25,41,5,5}
-{98,61}
-{21,64}
-{100,76,99,18,78}
-{17,4,69,97,61}
-{52,79,97}
-{52,26}
-\N
-{90,54,2,62,11,51}
-{33,12,34,45,2}
-{91,63,51,42,82}
-{100,79,73,70,54,14}
-{57,94,81,55}
-{13,18,94,17,16,34}
-{58,79}
-{90,64,68,46,95}
-\N
-{37,46}
-{91,94,10,85,100,24}
-{65,86}
-{94,89,7}
-{72,79,77,53,95}
-{65,19,92}
-{41,79,53,8,63}
-{28,60,50,42,9,32}
-\N
-{6,23,97,23,10}
-{12,28,16,39,70,50}
-{26,97,61,48,79,23}
-{38,98,21,34,65,89}
-{29,13,36,19,13,45}
-{72,65,58,81}
-{43,98,84,5}
-{79,41,100}
-{35,30,69,42}
-{59,13}
-{65,90}
-{40,38,21,23}
-{2,19,26,38,66}
-{5,16}
-{84,85,97,84}
-{34,26}
-{87,17,21,32,29,25}
-{75,66,87,90,18}
-{84,32,29,51,71,68}
-{57,25,73,24,53,2}
-{74,16,92}
-{99,60,19}
-{98,14,70,72}
-{24,34}
-{37,34,81,100}
-{67,10,17,60,16,55}
-{39,58,5,23,85,95}
-{75,93,19,31,47}
-{13,27}
-{42,14,32,90}
-{59,79,70}
-{48,96,45,38,58}
-{96,87,84}
-{23,70}
-{25,31,81,36,75,32}
-{64,49}
-{30,18,38}
-{69,27}
-{76,82,43,96,73,17}
-{84,95,97,12,20}
-{57,69,36}
-{60,79,19,67,9,12}
-{32,39,3,21}
-{55,83,51,48}
-\N
-{37,11,98,53,11}
-{2,73,24,18,77,74}
-{69,96,17,49}
-{53,2}
-{1,76,72}
-{35,93}
-{35,36,36,25}
-{59,77,30,13}
-{35,69,36,31}
-\N
-{20,23,51}
-{81,83,57}
-{87,43,40,56,81,64}
-{24,63}
-{29,51,45,93}
-{73,85}
-{59,1}
-\N
-{13,57,14,11,34,91}
-{69,1,4,28,77}
-{63,68,41,53,64,43}
-{11,1,46,40,6,88}
-{51,19,77,10,86,66}
-{74,40}
-{25,54,46,62}
-{94,17,64,15,20,36}
-{100,71}
-{63,66}
-{33,88,5,92}
-{92,86}
-{91,69,75,13,20}
-{57,22,32,33}
-{72,87,44,64,46,6}
-{50,56}
-{36,23,7}
-{74,63,3,6,14,29}
-{91,42,8,11,49}
-{32,64,94,88}
-{91,78,55,27,59}
-{2,20}
-{52,95}
-{57,59,35}
-{51,15,52,24,14,13}
-{64,16,18}
-{50,98,71,10}
-{92,99,92,80,77,73}
-{96,12,70,85,54,73}
-{10,44,30,77}
-{29,47}
-{40,55,62,58,30}
-{59,93,7,21,6,20}
-{58,91}
-{5,70}
-{36,23,58,80}
-{16,93,54}
-{20,8,97}
-{78,32}
-{10,31}
-{24,10}
-{56,14,28,10,45}
-{1,79,53}
-{56,58,86}
-{93,83,17,89,93}
-{12,4,26,45,97,17}
-{42,67,17,13}
-{31,90,59,38,4,20}
-{86,52,67,10}
-\N
-{49,59,10,25}
-{69,88,31,38,7,36}
-{84,21,57}
-\N
-{60,8,19}
-{35,81,66,96}
-{13,95,54,38,31}
-{27,25,34,11,65,64}
-{54,43,20,20,65,95}
-\N
-{19,27,100,69,43}
-{91,8}
-{30,65,98,87,84}
-{83,85,100,16,20,18}
-{80,48,56}
-{61,5,92}
-{14,94,43,91}
-{35,52,60,43}
-{73,25,26,61}
-{66,41,39,16}
-{2,96,90,37,99,92}
-{25,31}
-{72,57,50,82}
-{40,69,5}
-{98,34,66}
-{90,44}
-{34,78,93,15,65,71}
-{98,1,28,36}
-{16,59,79}
-{88,1,14,45}
-{41,91,87,20,72}
-{46,9,81,90,63,32}
-{2,84,29,56}
-{2,57,92,69,63,46}
-{3,32,76,62,36}
-{11,81,3,81,90,16}
-{36,1,42,51}
-{29,86,53,51,85}
-{17,66,16}
-{4,21,25,17,65,92}
-{13,26,33}
-{74,6,46}
-{69,19}
-{47,78,85,46,41}
-{41,62,100,85}
-{22,71,66}
-{28,15,58,84,22,92}
-{68,82,82,85,15,54}
-{34,58,72,35,99}
-{51,100,40,13,61}
-{80,89,94,31,96}
-{48,29,33}
-{32,85,75}
-{76,43,17}
-{79,70,3,64}
-{76,64,85}
-{94,90,3,85}
-{86,21,1,8,54}
-{87,92,30,36,59}
-{20,51,62,17}
-{81,61,86,96,47,67}
-{5,75,97}
-{60,24,79,3}
-{85,49,49,48,61}
-{66,60,58,92,88,90}
-{2,18}
-{42,54}
-{42,83,68}
-{98,76,42,25,90,32}
-{64,36,39,45,34,95}
-{56,43,78,10,63,18}
-{51,40,98}
-{85,11,74,41,14,25}
-{37,12}
-{76,32}
-{6,77,16,86,36,25}
-{23,93,18}
-{75,51,67,29}
-{22,9}
-{18,58,25,88}
-{95,31,12,20,62,54}
-{23,97,89,63,73}
-{77,41,11,27}
-{91,86,97,98}
-{84,6}
-{74,69,55}
-{58,42,92,65,52}
-{77,31}
-{8,91}
-{5,83}
-{64,48}
-{1,37}
-{51,4,49,97,64}
-{29,70,3,62,57,1}
-{91,8,31}
-{86,71}
-\N
-{61,50,8,6,59,76}
-{83,8,54}
-{50,45,66,86,52}
-{75,48,18,88,82}
-{1,52,60,78,45}
-{46,65}
-{53,2,63}
-\N
-{89,97}
-\N
-{75,23}
-{30,58,13,50,2}
-{59,73,52,8,70,39}
-{20,35,77,34,10}
-{55,86,14,74,14}
-{67,46,48}
-{20,9}
-{20,92,62,75,34,98}
-\N
-{72,14,18,46}
-{48,71,92,17,31,13}
-{47,46,42}
-{42,75,14,86}
-{97,55,97,78,72}
-{8,4,96}
-{44,13,13,18,15}
-{16,40,87}
-{87,66,79}
-{14,44}
-{35,79,25,57,99,96}
-{23,66}
-{90,49,24,11,8}
-{50,3,24,55}
-{60,94,68,36}
-{11,20,83}
-{66,100,47,4,56,38}
-{36,34,69}
-{41,57,15,32,84}
-{32,25,100,45,44,44}
-{70,32}
-{15,37,67,63,71,34}
-\N
-{81,62,20,91}
-{32,62,1,68,86,54}
-{20,91,40}
-{79,69,22,98,14}
-{45,42,24,2}
-{30,53,15,62}
-{81,100,42,20,96,42}
-{93,19,7,59,100,49}
-{25,7,18,64}
-{11,27,1}
-{89,67,65}
-{39,97}
-{47,62,30,61,58}
-{4,11,83,18}
-{38,30,95,58,13,81}
-{83,6,33,73,64}
-{89,51,77,45,58,16}
-{13,11,88}
-{96,79,71}
-\N
-{18,66,83,52,84,76}
-{52,17}
-{74,95,16,5,16,51}
-{21,20,16,39,84,71}
-\N
-{75,47,36}
-{65,45,12,5,100}
-{41,74,84,21,73}
-\N
-{8,90,46,39,30}
-{47,84,42,49,17}
-{76,100,35,89,17}
-{61,53,50,31,8}
-{94,53,20,33,15}
-{97,46,62,85,74}
-{8,59,40}
-{95,71,21,41,85,81}
-{55,71,20,74}
-{70,95}
-{61,42}
-{83,74,25,84,18}
-{56,43,46,40}
-{42,78}
-{95,48,98,93,35,98}
-{77,34}
-{4,54,58}
-\N
-{13,54}
-{87,66}
-{12,88,90,95,6,95}
-{65,20,10}
-{62,74,59}
-{49,17,51}
-{14,17,65,3,27,41}
-{43,42,43,46,79}
-{88,75}
-{21,46,84,95,31}
-{17,17,28}
-{32,73,29,11,46,94}
-{3,34,81}
-{80,83,1,92,69,100}
-{9,24,56,17}
-{3,80,57,36,14,94}
-{39,89,54,17,31}
-{70,19,67,21,31,72}
-{82,48,68,52}
-{96,81}
-{92,18,39,50,18}
-{6,54,27,52,28,100}
-{23,40,7,74,93,50}
-{87,51,38,88}
-{98,42,43,30,8,71}
-{33,26}
-{20,21,83,35,99,100}
-{28,77,94,32,1,13}
-{17,15}
-{35,100,9}
-{42,6}
-{16,28,55}
-{7,94,81,60,91}
-{100,63,21,28}
-{65,20,35,16,76}
-{95,3,88,62,1}
-{73,44,46,13,55,69}
-\N
-{60,49,71,77}
-{93,39,75,63,69}
-{97,36}
-\N
-{77,16}
-\N
-{57,30}
-{39,31,56,51}
-{62,78,62,38,54}
-{69,86,99,10,12}
-{11,43}
-{60,70,83}
-{83,82,3,1,60}
-{24,55,61,85}
-{65,72,13,77,79,100}
-\N
-\N
-{28,97,71,78,68,95}
-{34,1,72,79,84}
-{10,49,91,44,27,51}
-{15,48,80,37,69}
-{42,46,32,34,86}
-{80,21,26,50,5,8}
-{61,71,100,78,54,50}
-{36,20,80}
-{67,40,47,68}
-{60,7,36,36,55,2}
-{32,91,13,98,88}
-{15,56,65,23,13}
-{20,66,81}
-{19,36,99,54,86,92}
-{82,28}
-{43,32,91,37,70,68}
-{71,78,82,50}
-{1,31,23,48,10,12}
-{88,96,1,44}
-{27,49,97,29,89,35}
-{63,72,58}
-{79,9,32,64}
-{75,67}
-{46,31,83,54}
-{66,24,6,89}
-{82,10,64}
-\N
-{19,31,52,34,89}
-{16,36,11,12,23}
-{55,50,6,20}
-{81,72}
-{71,74,8,6,31}
-{6,20,96,80}
-{95,85,56,91}
-{36,33,88,12,50}
-{77,44,52,50,50}
-{94,12,7}
-{97,44,40,43,8,21}
-\N
-{61,14,40,75,87}
-{43,21,67,66}
-{46,19,80,12,46,28}
-{56,11,14,59}
-{31,94,50}
-{45,26,61,15}
-{84,45,44,82}
-{9,16,86,54,93,30}
-{50,39,37}
-{35,60,64,55,73,90}
-{61,65,87,20,30}
-{12,59,44}
-{23,8,97}
-{30,59,7}
-{85,32,14,95,38}
-{18,91}
-{10,40,20,8,58}
-{5,58,4,94}
-{100,11,96,70}
-{66,72,7}
-{5,31,89,89,4}
-{81,68,44,37}
-{22,22,76,67,72}
-{22,26,30}
-{73,47,27,18,54,30}
-{44,13,73,95,83}
-{18,93,72}
-{30,22,73,13,16}
-{14,11,66}
-{45,33,59,72,92,81}
-{97,82}
-{30,4}
-{1,9,46,70}
-{47,50,20,71,48,60}
-{26,62,53,70,63,49}
-{39,26}
-{47,94,9}
-{55,3,18,1,75,22}
-{42,87,74,57,60,55}
-{95,46,21,38,27}
-\N
-{13,35,48}
-{24,39,24,67}
-{44,83,49,72}
-{22,8}
-{77,39,87}
-{37,41,44}
-{100,57}
-{48,54,58,79}
-{14,84,40}
-{11,51}
-{23,80}
-{80,82,43,59,2}
-{92,53,56,44,90,66}
-{44,67,78,9}
-{43,91}
-{70,74,100,69}
-{12,5,75}
-{65,51,22,65,56,36}
-{52,54}
-{38,78}
-{30,45,38,99}
-{18,88,88,63,51}
-{61,24,53}
-{72,24,77}
-{61,46}
-{11,83,49,86,27,60}
-{86,60,83,34,33,28}
-{65,15,10,51}
-{98,92}
-{49,49,60,3}
-{58,56,43}
-{19,25,15}
-{24,40,36,49,61}
-{5,62,9}
-{72,8,71}
-{64,85}
-{72,84,67}
-\N
-\N
-{80,87,30,70,21}
-{30,86,95,19,21}
-{17,90,15,89,81}
-{40,51}
-{77,88}
-{14,89,82,62}
-{40,66,93,16,55,45}
-{22,46,31,17,4,71}
-{8,41,88,94,25,61}
-{80,8,23,71,59,53}
-{61,70,23}
-{2,4,79,6,67}
-{27,70,42,68,33}
-{46,27,10}
-{1,93,42,12,8}
-{31,9,19,32,62,15}
-{16,42,81}
-{56,29,12,17,61}
-{52,100,98,42}
-\N
-{29,38}
-{49,40,47,63,22,4}
-{99,70,13}
-{70,28,67,100}
-{37,75,65,63,35}
-{45,67,37,28}
-{42,78,71,39}
-{33,35,76,69}
-{65,84,57,63}
-{17,12,86,23}
-{31,62,79}
-{3,22}
-{85,81,59}
-{38,5,15,100,1,27}
-{36,96,93,46,75}
-{44,61,85,70,71}
-{79,72,86,71,77,9}
-{23,51,47}
-{4,59,48,38,44}
-{93,54,86,98}
-{60,29}
-{49,38}
-{54,84}
-{72,25}
-{51,40,25,27,68}
-{24,17}
-{95,3,82,31,95}
-{56,37,57}
-{15,84,98,16,53}
-{47,36,15}
-{27,36,76}
-{38,82,26}
-{47,70}
-{60,89}
-{59,73,99,7,28,89}
-{87,49,70,76}
-{71,93,76,81,11,46}
-{74,87,92,24,43,22}
-\N
-{26,1,85}
-{18,73,43,94}
-{92,2,73}
-{5,58,85}
-{20,7,39,18,59,90}
-{11,16,19,77,60,56}
-{77,1,95}
-{4,4,11}
-{48,40,56,74,96,29}
-{71,1,62,69}
-\N
-{34,61,26}
-{86,75,13,73,28}
-{17,35}
-{100,29,37,26,47}
-{69,36,52,61}
-\N
-{81,51,54}
-{54,78,46}
-{1,78,96}
-{33,54}
-{72,9,37,30,100}
-{67,10,52}
-{77,19,74}
-{52,27,41,37,98,73}
-{8,74,86}
-{4,40,99,6,59}
-\N
-{98,43}
-{74,91}
-{69,45,73,59,19}
-{87,43,31,85}
-{2,51,54,3}
-{45,73,8,86,4,40}
-{2,51,96}
-{74,5,8,64,1,46}
-{5,64,86,63,12,75}
-{6,62,71,24}
-{56,84,54}
-{61,37,79,63}
-{81,39,78,23,86,74}
-{50,79,34,23}
-{85,36,78,80,19}
-{34,94,1,46}
-{5,23,38,4,78,2}
-{85,100,80,13,73}
-{48,86,9}
-{47,22,65}
-{49,81,18,52,36}
-{84,85}
-{89,15,71,88,44}
-{1,21,81,52,2}
-{53,18,7,53,50,11}
-{91,89}
-\N
-{20,6,20,70,12,32}
-{98,94,70,52,41,35}
-{43,25,2,63}
-{95,86,6,82,2,41}
-{79,24,63}
-{12,96,7,18,48,67}
-{55,35,4,75,28,39}
-{48,46,33,75}
-{10,99,5,5,98,25}
-{43,87,5,53,76,64}
-\N
-{100,13,9,4}
-{4,35,65,56}
-{27,74,88}
-{59,66,10}
-\N
-{59,85,39,48,17,29}
-{59,42,17}
-{27,99,12,21}
-{9,10}
-{15,4,80,25,67,59}
-{12,89,96}
-{50,32,92,49}
-{40,74,10,6,26,43}
-{80,71,29,54}
-{74,82}
-{22,25,27,65,12}
-{84,88,53,43,75}
-{84,16,51,84,46}
-{10,9,44,95}
-{87,19,22,10,44,80}
-{18,20,87,41,86}
-\N
-{9,64,4,33}
-{65,87,23,65,32,92}
-{50,2,23,68}
-{29,8,82,28}
-{54,92,6,2,28,70}
-{23,11,65,78,34}
-{77,85}
-{30,49,59,8,60}
-{77,30,34}
-{55,73}
-{89,68,55,81,8,81}
-{54,28}
-{35,22,67,63,48}
-{43,37,46,56,81}
-{16,78,32,81,77,37}
-{35,80,41,76}
-{4,93}
-{3,32,23}
-{43,18,50}
-{87,5}
-{30,40,91}
-{36,69,17,82,70,57}
-{73,71,47,63,58}
-{24,11,36}
-{2,72,61,76,9}
-{61,97,10,85,92,56}
-{5,44,47}
-{24,57,79}
-{69,39,97,8}
-{78,16}
-{62,52,17,35,28}
-{48,79,66,64,36}
-{14,72,75,30}
-{17,21,41,25}
-{28,100,66,56,15}
-{89,3,32,86,6}
-{67,34,16}
-\N
-{48,27,70,60,1,40}
-{69,34,36,46,95}
-{59,24,84}
-{44,21,90}
-{22,30,5,62,13,58}
-{79,67,44,10,1}
-{67,8}
-{40,48}
-{64,5,65,35}
-{74,45,75,15,31,69}
-{42,3,49,33,52,97}
-{86,59,69,84,53}
-{64,64,41,64,99}
-{47,95,16,78,73,68}
-{54,11,52,90}
-{54,62,79,58,96,59}
-{28,34}
-{52,94,17,42,9}
-{94,22,77,7,56}
-{72,24,47}
-{6,11,3,23}
-{9,6,97,82,40,39}
-{73,47,57,8,7,97}
-{27,26,1,2}
-{64,45,38}
-{71,6,6,83,33}
-{78,28,40}
-{25,8,17,15}
-{24,67,53}
-{72,42}
-{66,25,56,36,32,93}
-{18,11,22}
-{88,9,75,23}
-{20,32,24,44,51,34}
-{76,86,11,7,1,61}
-{11,77,41,55,87,59}
-{62,53,94,46}
-{77,20}
-{74,97,59,78,9}
-{7,94,26,18,77}
-\N
-{49,59}
-{72,22,42,89,14,80}
-{49,14,38,19}
-{43,88,25,58,39,24}
-{21,34,37,65}
-{85,3,46}
-\N
-{11,60,86,65,49,83}
-{51,98,7,28}
-{85,17,34,59,14,86}
-{89,81,48}
-{67,40,11,60,75}
-{13,45,42,22,82,82}
-{98,21,89}
-{30,63}
-{35,45,68}
-{9,29}
-{43,71}
-{82,44,59,72,48}
-{1,48,29,44,14,11}
-{75,33,85}
-{7,32,92}
-{62,14}
-{29,31,1,36,51}
-{92,12,28,20}
-{13,67}
-{88,72,14,22,61,42}
-{15,98,49}
-{65,27,9,76}
-\N
-{15,95,26,12,52,40}
-{17,20,74}
-{57,63,15,22,38}
-{93,71,8}
-{26,84,82}
-{20,52,3,3}
-{72,95}
-{10,9,80}
-{9,9,18,51}
-{74,24,63,63,57,89}
-{64,91,95,18,15}
-{64,37,20,36,74}
-{52,9,53,6}
-{17,31,42}
-{3,73,92,13,62}
-{57,81,58,49}
-{52,56,2,26,18}
-\N
-\N
-{90,90}
-{16,92}
-{66,51,7,19,10}
-{100,81,69,86,95}
-{48,64,81}
-{87,54,73}
-{6,80,100,24,26,8}
-{44,67}
-{27,94,2,25,34}
-{80,25}
-{12,2,77,75,15}
-{63,14,30}
-{85,75,59}
-{72,73,54,44,25,76}
-{95,44,69,91,62}
-{94,73,78,5}
-{28,52}
-{86,31}
-{69,90,95,66}
-{6,10}
-{68,72,112}
-{9,165}
-{91,132,164}
-{57,82,144,167,184}
-{3,6,101,118}
-{111,158}
-{22,29,30,174}
-{41,66}
-{39,76,189}
-{7,20,21,196}
-{52,126,169,171,184}
-{21,77,91,176,196}
-{16,97,121}
-{83,135,137}
-{8,140,160,164,165,195}
-{38,65,185}
-{112,152}
-{111,129,134,148}
-{47,80,114,135,147,165}
-{24,98,119,123}
-{43,48,60,147,154}
-{19,54,138,171,186}
-{156,175}
-{20,51,123,193,193}
-{37,41,136,173,192}
-{14,22,111,125}
-{44,125,160,184}
-{19,75,99,103,107,164}
-{24,113,145}
-{27,157}
-{12,107,133,134}
-{72,94,102,158,194}
-{104,157}
-{122,171}
-{28,47,89,104,112}
-{25,35,82,105,155}
-{106,107,139,181}
-{50,110,132,136}
-{90,110,166}
-{1,1,55,60,85,108}
-{8,22,31,106,172,196}
-{24,69,109,121,154}
-{0,26,44,59,132,175}
-{103,125,172,188,190}
-{11,23,78,109,131}
-{81,146,169,181,196}
-{2,84,113,189}
-{8,46,126,131}
-{13,73,73,125,127}
-{67,117,139,184}
-{29,65,77,120,182}
-{0,87,100,102,135}
-{111,146,156}
-{13,87,123,137,182,197}
-{60,61,164}
-{7,20,186}
-{0,24,53,135,147}
-{94,136}
-{47,168}
-{70,80}
-{43,148}
-{3,81,104,191}
-{104,171,189}
-{9,14,117,160,180}
-{67,158}
-{50,57,66,78,170,197}
-{31,60,73,101,193,197}
-{37,89,92,96,127}
-{29,179}
-{17,47,137,155,157,187}
-{33,77,154}
-{48,63,85,150,184}
-{32,53,61,95,172}
-{20,35,47,171,179,196}
-{2,17,40,169,184}
-{116,127,131,142}
-{16,26,27,87,164,198}
-{58,129}
-{67,98,108,132,157,197}
-{145,157}
-{13,49,56}
-{59,103,180,196}
-{35,65,104,106,120,126}
-{18,96,115,133}
-{27,61}
-{61,194,197}
-{11,27,36,94}
-{15,36,101,128,197}
-{51,62,115,149}
-{83,198}
-{30,120,127,145,184}
-{50,149}
-{13,35,87,117,135,158}
-{57,60,74,113,128,178}
-{11,90,123,163,170}
-{39,121,148,171,198,199}
-{30,77,78,137,140,162}
-{52,69,120,141}
-{9,100,137}
-{56,161}
-{44,57,75,110,154}
-{98,123,155,167}
-{10,60,85,105,164,168}
-{13,92,179,186}
-{13,171,173,176,178}
-{33,53,88,123,144,172}
-{21,57,70,131,151}
-{13,51,63,169,169}
-{36,104,119,166}
-{54,59,84,166,172}
-{7,87,100,102,142,187}
-{2,5,6,43,174}
-{4,26,29,59,77}
-{10,82,98,103,104}
-{104,147}
-{47,55,99}
-{102,154,165}
-{0,96,107,139,157,159}
-{66,167,174}
-{92,97,117}
-{21,75,180,185}
-{54,64,139,180}
-{23,141,189}
-{32,38,147}
-{82,87}
-{6,34,34,161,183}
-{25,64,69,97,122}
-{80,152,170,189}
-{44,78,143,162}
-{52,53,64,69,112,158}
-{77,80,123,150,175}
-{110,121,125,125,128,198}
-{0,8,57,104,127,188}
-{17,46,48,93,129,150}
-{135,193}
-{89,111,135,166,184}
-{132,181}
-{47,54,101,108,125}
-{18,55,103,142}
-{11,125}
-{18,49,58,68,122,153}
-{37,47,137,179,185}
-{57,78,167,187,192}
-{28,32,38,67,77,184}
-{67,83}
-{43,104,191}
-{22,40,118,194}
-{24,53,66,195}
-{27,87,89,101,130,191}
-{71,86,157,167,183}
-{31,87,102}
-{48,53,70,101,149,174}
-{21,33,59,129,195}
-{144,160}
-{4,8,174,194}
-{69,103,127,127,160}
-{6,29,62,77,132}
-{61,69,108,144,174}
-{51,55,109,128,153}
-{10,30}
-{2,5,6,70,146,183}
-{0,1,75,97,166,180}
-{53,78,104}
-{31,45,68,108,161}
-{3,40,78,103,109,130}
-{33,44,159}
-{28,82,93,136,148,157}
-{31,32,76,143,157}
-{2,55,106}
-{21,66,80,129,129,152}
-{1,34,59,128,154,195}
-{10,154,172,177}
-{2,7,31,47,82,125}
-{60,131,149,156}
-{20,141}
-{23,38,43,100}
-{51,70}
-{3,41,164}
-{126,160,165,169}
-{61,71,143}
-{65,70,81,100,146}
-{40,48,57,75,85,85}
-{116,153}
-{31,42,49,103,183}
-{28,44,62,85,133,177}
-{50,68,164,170}
-{4,26,60,87,119,141}
-{5,102,160}
-{20,129,177}
-{98,120,135,157,164,168}
-{66,150}
-{101,101}
-{164,187}
-{43,65,96,166,189}
-{18,36,58,109,118}
-{25,32,135,161,170}
-{55,104,183}
-{69,139,144,181,182}
-{84,131,155}
-{6,18,63,156,159}
-{7,66,67,88}
-{8,46,52,95,178}
-{58,58,83,119,119,163}
-{27,143}
-{78,80,122,149,164,176}
-{6,83,107,183,198}
-{86,199}
-{22,74}
-{28,62,64,114}
-{15,56}
-{41,97,139,152,161,161}
-{48,192}
-{16,62,99,138,155}
-{32,84,145}
-{108,137}
-{93,112,120,155}
-{73,117}
-{20,26,197}
-{4,141}
-{110,132}
-{95,133,142,152,183,193}
-{85,141}
-{53,76,86,131}
-{5,59,73,74,101,130}
-{0,1,64,151,188}
-{15,131,131,174}
-{80,98,106,187}
-{41,102,167,173}
-{9,42,133}
-{103,110,110,134,175,185}
-{168,187}
-{42,47,108,121,165,198}
-{81,171}
-{38,122,123,149}
-{16,79}
-{45,64,131,176,182,197}
-{35,82,87,100,123,196}
-{41,52}
-{33,68}
-{60,140}
-{12,41,152}
-{54,71}
-{88,95,95,146,148,180}
-{47,66,89,121,168,182}
-{15,70,94,122,137,154}
-{42,48,129,162}
-{70,151}
-{11,55,89,118}
-{36,74,121,130,152}
-{46,48,52,120,179}
-{70,81}
-{96,146,183}
-{76,78,108,153}
-{71,168}
-{66,106,108,167}
-{22,44,49,85,87,195}
-{17,52,143,175}
-{86,103}
-{16,46,176}
-{95,111,162,173,198}
-{44,191}
-{7,48,107,115,116}
-{12,120,141,179,184}
-{83,188}
-{83,85,86,139,154}
-{50,74,89,154,179}
-{79,87,120,128,183}
-{13,121}
-{16,52,62,86,168,199}
-{7,16,29,35,157,181}
-{23,48,65,119,180}
-{10,173}
-{7,98,128,143,145,162}
-{23,27,88,91,127}
-{35,53,56,56,118}
-{7,161}
-{0,42,67,174}
-{44,161}
-{75,80,110,170}
-{17,93,117,140,168,196}
-{18,100,150,184}
-{108,132}
-{54,90,97,103,149}
-{9,12,30,43,82,95}
-{131,163}
-{67,99,168}
-{91,150,172}
-{47,164,195}
-{72,90,98}
-{24,78,130,172}
-{1,27,32,64,66,156}
-{7,26,72,88,130,140}
-{56,126,130}
-{1,76,81,122,169,188}
-{60,154}
-{101,103,135,150}
-{22,25,33}
-{99,117}
-{24,95,122,186}
-{48,95,102,108,125,170}
-{13,113,154}
-{155,177}
-{37,73,106}
-{7,64,124,195}
-{101,124,133,157,166,188}
-{27,34,60,100}
-{26,104,163}
-{34,43,108,133,165}
-{64,79,89,122,132}
-{10,96,168}
-{2,22,89,118,122,198}
-{122,192}
-{42,101,104,135,168,181}
-{7,38,63,86,101,152}
-{29,84,89,114,123,184}
-{33,46,59,137,153,175}
-{3,54,66,92}
-{31,34,148,159,185}
-{3,52,97,99}
-{3,26}
-{42,57,62,148,199}
-{15,26,198}
-{14,34,109,111,128,193}
-{107,197}
-{16,107}
-{9,21,136,169}
-{67,97,99,153,165,173}
-{46,76,89,100,164}
-{96,102,150,167,180}
-{31,103,137,146,180}
-{21,40,157,163,170,183}
-{139,170}
-{1,75,82,148,169,198}
-{13,39,107}
-{13,50,97,101,106}
-{52,176}
-{18,169}
-{129,140,146,183,189}
-{95,122,145}
-{5,6,102,130,151}
-{5,118,140,153}
-{27,78,140,164,182}
-{36,140,148}
-{58,100,127}
-{9,16}
-{26,33,119}
-{1,17,18,165}
-{14,182}
-{11,13,48,89,140,165}
-{9,19,78,113}
-{121,171}
-{18,23,46,113,159,162}
-{17,104}
-{50,104,132,167,179}
-{55,89,102,132,176}
-{19,109}
-{60,70,73,153,163}
-{18,127,145}
-{80,106,146,170}
-{10,39,72,74,84,150}
-{3,71}
-{1,10,64}
-{82,95,127,132,141,152}
-{43,55,57,89,120,197}
-{155,182}
-{23,34,57,111,153}
-{99,188}
-{86,114,124}
-{113,191}
-{31,129,184}
-{125,159,159}
-{22,27,81,156}
-{3,54,80,122,128,168}
-{76,112}
-{152,174}
-{22,27,70,172}
-{26,86}
-{49,59,102,186}
-{53,55,75,125}
-{152,199}
-{11,15,46,102,105,168}
-{132,148,154}
-{24,114,121,126,138,165}
-{82,107}
-{36,93,122,184,194}
-{1,59,76,146}
-{73,165}
-{38,98,176}
-{53,72,121,153}
-{127,147}
-{31,77,128,177}
-{107,186,189}
-{119,126,127,160}
-{24,74,148,197}
-{85,126,134,146}
-{76,77,81,134}
-{67,112,159,174,183}
-{22,169,170}
-{79,112,177,199}
-{1,56}
-{21,42,50,172}
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-{31,95,106,152,171,177}
-{21,49,99,101,122,187}
-{63,104,113,161,186}
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-{32,53,147}
-{123,123,130}
-{78,85,177}
-{2,69,95,146,187}
-{6,11,14,43,121}
-{76,105,184}
-{63,96,114,122,195}
-{11,22,34,45,120,156}
-{22,83,119,131,138,167}
-{9,56,96,106,114}
-{92,132,162}
-{25,45,83,119,139,150}
-{19,21,56,59,141}
-{14,26,62,119,180,190}
-{6,34,49,99,139,170}
-{10,56,150,166,166}
-{14,57,119,153,167,198}
-{26,41,150,158,169}
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-{1,61,93,180}
-{46,110,138,199}
-{4,56,81,110,173}
-{28,32,148,185}
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-{14,39,68,144}
-{26,37,79,81,110}
-{115,158,161}
-{6,39,145,191}
-{67,118,125,142,184,198}
-{127,163}
-{52,118}
-{22,78,131,156}
-{46,68,86,142,145,197}
-{85,188}
-{37,54,64,147,158}
-{31,134,141,183,185}
-{10,33,135,198}
-{41,124,173,180}
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-{40,83,94,168}
-{106,142}
-{76,99}
-{19,62,77,108,165,186}
-{68,90,97,119,176}
-{44,108,193}
-{2,124}
-{137,174,175,176,180}
-{28,62,81,132,165,186}
-{98,112,148,181}
-{86,125}
-{70,161}
-{5,13,188}
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-{82,87}
-{30,42,57}
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-{6,53,112,113,183,195}
-{64,147,157}
-{61,140,192}
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-{90,175}
-{38,46,105,121,159}
-{35,62,66,90,155}
-{2,2,21,38}
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-{117,155}
-{60,86}
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-{66,71,87,135,148,157}
-{29,67,108,196}
-{30,64,76,124,172}
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-{5,15,20,117,198}
-{20,87,87,121}
-{42,136,142,148}
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-{74,98,132,160}
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-{30,86,111,178,180}
-{49,61,114,195,196}
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-{18,105,165,190}
-{77,83,175}
-{29,33,51,166,188}
-{37,51,96,103,127}
-{119,125,128,140}
-{8,80,93,189}
-{76,96,110,131,170}
-{81,90}
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-{56,62,73,110}
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-{34,34,61,74}
-{32,84,87,92,112,181}
-{10,66,93,153}
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-{5,13,49,61,103,179}
-{67,136,136,163,181,196}
-{26,60,74,100,160}
-{39,59,69,93,111}
-{9,77,90}
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-{25,95,103,157,163,193}
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-{37,99,151,153,169,189}
-{112,126,139,171,184,195}
-{39,188}
-{4,20,71,80,136,156}
-{24,33,77,82}
-{103,188}
-{74,116}
-{82,90,110,154,194,195}
-{25,149,180}
-{120,123,130,171}
-{20,38,104,126,175,176}
-{14,62,97,130,135,193}
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-{11,40,60,74,144,148}
-{13,26,46,63,76}
-{24,29,98,106}
-{6,139,171,186}
-{5,109,197}
-{20,45,84,125}
-{1,137,150,195}
-{1,8,80,111}
-{57,90,102,167}
-{53,186}
-{8,31,115,145,156,165}
-{10,18,31,116,164}
-{43,47}
-{33,143,154}
-{106,153,174,190}
-{73,106,158}
-{18,137,158,173}
-{73,80,107,123,141,199}
-{17,43,123,130,130,155}
-{15,31,37,91,164,181}
-{38,86}
-{49,105,142,145,173,190}
-{18,107,108,135,138}
-{43,65,107,112,193}
-{8,68,68,74}
-{54,106,108,109,164}
-{53,153}
-{59,134,154,173,180}
-{34,93}
-{11,33,124}
-{8,104}
-{27,37,46,65,125,174}
-{0,122,189}
-{15,74,107,147,188}
-{35,63,78}
-{28,49,123,129,177,193}
-{11,89,104}
-{117,171,197}
-{11,15,62,136,145,145}
-{2,127,193}
-{17,28,42,113,145}
-{31,44,118,148}
-{52,103,128,161,182}
-{45,47,70,102,161,184}
-{15,52,82,86}
-{60,87,102,108,127,170}
-{24,57,102,145,181}
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-{87,128}
-{80,143,170}
-{59,85,134,139}
-{61,67,110,117,156,157}
-{6,8,60,112,154,170}
-{92,122,133}
-{121,148,161}
-{9,22,61,187}
-{12,40,78,107,176}
-{30,45,58,189,198}
-{83,107,123,148}
-{3,66,98,124,126,150}
-{13,34}
-{16,41,132}
-{16,85}
-{3,25}
-{30,58,138,167}
-{24,36,87,151,159,186}
-{2,4,121,196}
-{79,95,99,107}
-{11,49,146,169}
-{51,90}
-{76,155}
-{26,26,116,120,146,182}
-{44,66,72,117,132,174}
-{7,161,179,197}
-{2,81,158}
-{4,22,59,107,146,170}
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-{53,78,127,188}
-{31,57,103,104,162}
-{9,84,100}
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-{59,63,77,139,165}
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-{13,24,50,50,131}
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-{47,52,124,131,169}
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-{13,55,65,99,150}
-{25,73,130,192}
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-{3,53,76,184,196}
-{34,36,41,61,194}
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-{98,108,162}
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-{4,75,82,175}
-{24,49,63,89,128}
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-{47,66,113,127,148}
-{15,60,118}
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-{50,60,72}
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-{11,103,129,144}
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-{34,107}
-{54,120}
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-{27,31,130,132}
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-{2,29,51,173}
-{37,61,97,113,147}
-{11,35,79,91}
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-{13,30,85,139}
-{17,57,65,170,179}
-{46,65,151,167,192,197}
-{31,78,132,136,158}
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-{15,101,111,134}
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-{57,95,132,134}
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-{56,98,153,165,170,191}
-{1,52,112,112,131,145}
-{16,132,150,184}
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-{49,109,112,165}
-{69,136,152}
-{59,90,94,158,168}
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-{18,194}
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-{40,57,125,138,159}
-{3,10,31}
-{2,5,8,26,141,181}
-{27,29,142,175,186,195}
-{31,49,99,120}
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-{49,73,85,89,179}
-{22,36,154,192}
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-{94,128}
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-{35,165}
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-{13,74,80,114}
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-{65,172}
-{30,31,35,52,63}
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-{15,40,46,51,75,160}
-{12,28,48,79,105}
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-{45,62,79,83,113,155}
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-{3,13,14,15,77}
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-{67,110,122,167,183}
-{22,25,58,93,143,151}
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-{1,18,50,98,108,174}
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-{38,82,132,183}
-{32,151,175}
-{53,90,106,169,187}
-{99,136,141,146,171}
-{27,108,111,155,192}
-{28,77,86}
-{11,109,118,149,154,183}
-{7,74,122,137,185}
-{70,110,151,154,175}
-{7,48,88,181,181,182}
-{97,101,105,123,139,156}
-{19,139}
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-{63,64,178}
-{100,133,143}
-{64,173}
-{1,88,109,120,145,160}
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-{84,112,121,184}
-{90,185,193}
-{91,135,155,185}
-{56,191}
-{14,15,48,61,92,171}
-{18,139,152,199}
-{16,80,107,125,144,166}
-{8,92,112,173,176}
-{27,196}
-{9,169,183,190}
-{20,29,40,98,106,182}
-{77,115,149,181}
-{31,65}
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-{10,33,79,186}
-{42,74,113,178,192}
-{17,86,88,118}
-{27,58,104,122,166}
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-{16,59,115,127}
-{27,56,60}
-{104,175}
-{52,84}
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-{7,13,18,81,139,140}
-{11,31,81,150,189}
-{44,55,107}
-{45,58,127,137}
-{70,76,80,93,145}
-{27,60}
-{40,76,172}
-{7,123,192}
-{55,170}
-{61,137,137,184,187}
-{49,50,190}
-{99,126,152,164}
-{56,79,88,98,132}
-{45,74,119,123,158,175}
-{66,96}
-{100,114}
-{62,84,111,122}
-{8,22,141,172,181}
-{70,141}
-{3,48,106,193}
-{33,114,168,174,183}
-{46,186,194}
-{58,71,82,122,190}
-{60,67}
-{14,30,132,144,174}
-{9,113,124}
-{11,14,29,63,110,182}
-{4,64,102,168,178}
-{90,108,110,160,165,199}
-{44,86,191}
-{6,19,84,125,125,156}
-{53,105,122,154,175,190}
-{83,177,183}
-{96,103,181}
-{38,156}
-{2,6,60,116,131}
-{12,144}
-{13,73,93,132}
-{142,167}
-{37,61,71,75,121,144}
-{32,43,146}
-{41,59,144,176}
-{11,14,44,54,92,177}
-{37,198}
-{39,80,81,104,138,193}
-{13,73,92,127,149,194}
-{34,57,69,104,118,186}
-{7,48,84,96,108}
-{32,41,64,111}
-{108,131,150,174,195}
-{50,53,184,191}
-{8,32}
-{26,76,88}
-{4,50,100,134,134}
-{36,40,148,158,177}
-{7,16,57,59}
-{35,96,113,129,167}
-{46,63,128,163}
-{8,46,94,97,105,178}
-{12,70}
-{45,93,134,135,188,195}
-{11,52,76,103,131,192}
-{19,45,57,119,123,136}
-{19,62}
-{1,49,64,197}
-{0,42,60,102,134,147}
-{102,152,156,160}
-{51,54,129}
-{50,68,71,72,170}
-{0,11,184}
-{19,105}
-{144,185,191}
-{17,51,76,98,118,135}
-{52,64,143,171}
-{1,46,62,74,81}
-{8,36,129}
-{5,25,96,113,146,152}
-{19,28,59,110,131,142}
-{7,18,176,179}
-{17,21,48,63,121}
-{34,79,81,85,152,155}
-{8,82,104,122,139,193}
-{34,50,128,140,175}
-{51,173}
-{48,128,138}
-{126,129,178}
-{42,51,61,141,170,180}
-{59,91,144}
-{64,74,118,170,191}
-{12,55,116,157,159}
-{97,157}
-{32,34,102,105,178}
-{36,103,125}
-{15,36,184}
-{6,13}
-{0,100,144,185,198}
-{32,47,64,66,118,143}
-{23,112,117}
-{34,44,47,81,124,135}
-{21,49,115}
-{29,158}
-{34,114,127,151}
-{111,199}
-{23,53,76,113,122,123}
-{89,113,117,137}
-{52,76,126,155,164}
-{4,48,78,114,147,179}
-{27,56,151,191}
-{3,183}
-{30,41,72,145}
-{15,41,152,177,196}
-{44,58,124,164,177}
-{9,51,70,174}
-{13,18,81,136,178}
-{85,139,142}
-{12,62,118,156}
-{50,142,149,175}
-{35,38,99,100,128}
-{53,54,92,123,153,160}
-{121,133}
-{12,63,117,148,149,187}
-{88,153,170,192,195}
-{22,51,67,104,141}
-{186,198}
-{39,40,82,159,189}
-{59,74,149}
-{88,99,136,145,191}
-{5,48,90,120,138,193}
-{22,76,155,180}
-{118,122,141,176}
-{87,104,116,159,172,191}
-{63,104,155}
-{8,153,168}
-{119,141,178,179}
-{100,110}
-{14,65,164}
-{2,92,97,117,188}
-{47,59,64,141,148,187}
-{109,137,139,151,169}
-{68,78,156}
-{37,39,103,183,190,194}
-{50,58,74,180}
-{12,121,155,175}
-{26,43,97}
-{102,159,161}
-{3,138,163,179}
-{55,69,78,164}
-{67,87,136}
-{67,150}
-{74,113,199}
-{103,126,187}
-{39,141,155}
-{6,19,25,75,157}
-{10,49,71,105,114,154}
-{3,24,35,54,88}
-{16,25,73,114,181,191}
-{2,2,63,154}
-{68,74,107,187,199}
-{13,235}
-{40,122,203,232,233,235}
-{115,152,193,202,242}
-{3,50,86,111,248}
-{25,66,181,188,279}
-{80,116}
-{38,83,106,119,134}
-{29,63,203}
-{7,27,186,200,201}
-{88,92,94,272,295}
-{35,68,136,158}
-{148,225,293}
-{1,87,195}
-{48,100,203}
-{0,35,61,91,280}
-{130,160,168,216}
-{4,104,148,164}
-{35,40,91,145,155,214}
-{46,107}
-{21,276}
-{42,143,150,238,291}
-{64,70,140,165,228,257}
-{0,148,197}
-{72,131,195,202,251,270}
-{99,195,224,264,292}
-{5,184,186,243}
-{93,132,137,148,228,251}
-{66,125,198,211,285}
-{29,79,180}
-{41,60,65,66,254}
-{4,69,79,207}
-{113,182,203,252,259,298}
-{10,20}
-{99,200,276}
-{109,262}
-{4,87,193,207,220,273}
-{30,183,215}
-{7,138,202,215,217}
-{25,79,194,203,260}
-{128,178}
-{62,152,211,279}
-{57,99,204,280}
-{41,59}
-{18,52,200}
-{81,132,190,275}
-{89,158}
-{32,72,122,228,245,249}
-{24,72,196,233,299}
-{0,5,46,122,213}
-{197,242}
-{43,105,241,272}
-{74,118,158,173,208,288}
-{145,149,197,238,252,297}
-{32,39,189}
-{98,240}
-{65,140,149,197,203,204}
-{103,225,266}
-{84,277,283}
-{35,246}
-{10,101,239}
-{40,75,192,253}
-{106,152,247,272,287}
-{50,293}
-{85,134}
-{59,204}
-{54,64,88,269,286}
-{4,92,111,121,154,182}
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-{89,278,290}
-{24,137,157,206,271,278}
-{7,63,83,89,155,189}
-{2,5,172,195,215,260}
-{243,281}
-{60,125}
-{74,87,222,236}
-{45,70,159,194}
-{69,159,250}
-{150,214,296}
-{101,158,250}
-{56,134}
-{57,87,160,167,247,285}
-{123,269}
-{235,242}
-{79,95,115,167,287}
-{31,56,132,244,276}
-{25,218,241,241}
-{57,82,151,170,204}
-{69,103,288}
-{88,138,154,292}
-{14,98,138,227,245,249}
-{175,222,274}
-{38,139,193,208,277}
-{79,141}
-{5,77,197,209}
-{15,37,77,110,116}
-{26,226}
-{68,93,101,140,233}
-{53,96,170,192,290}
-{29,89,102,216,220}
-{11,85,136,239}
-{158,180,195,200,226}
-{10,49,118,137,172}
-{144,172,183}
-{14,176,188,215,272}
-{42,97,125}
-{114,166}
-{52,61,162,171,249}
-{140,195,242}
-{59,99,233}
-{31,76,136,181,187}
-{81,112,157,168,271,294}
-{8,35,44,48,190,297}
-{145,195,201}
-{160,248,291}
-{94,270,285}
-{116,139,225}
-{111,131,140}
-{158,277}
-{59,229,257}
-{25,47,99,123,239}
-{8,36,205,274,295}
-{132,152,178,192,235}
-{19,40,96,204}
-{7,77}
-{211,282}
-{26,100,180,244,281,296}
-{200,212,286}
-{5,94,151,290}
-{75,80,128,179,269,269}
-{7,111}
-{7,26,69,158,269,276}
-{7,36,74,94,171,215}
-{2,62,65,93,124,271}
-{78,96,109,189}
-{182,197,280,298}
-{17,78,82,85,85,208}
-{6,122,155}
-{14,33,130}
-{1,21,167,169}
-{49,85,158,175,213}
-{59,194}
-{125,132,259,285}
-{20,38,81,89,234,274}
-{106,140,156,287}
-{57,125}
-{53,103,158,204,234,267}
-{0,49,160,189,235}
-{34,115,142,207}
-{162,173,181,190,298}
-{11,76,116,166,191}
-{2,87,99,236,279}
-{40,203}
-{2,33,39,215,254}
-{53,69,83,224,228}
-{79,136,183,216,226,227}
-{10,109,137,163,240}
-{24,126,141}
-{69,255}
-{103,138,230,246,259,283}
-{136,290}
-{13,34,78,145,166,242}
-{38,74,83,242,294}
-{54,248,273}
-{107,162}
-{50,170,176,191,207,275}
-{32,134,166,288,292}
-{163,167,186,274,291,296}
-{31,86,123,156,160}
-{114,133,136,176,281,290}
-{105,147,211}
-{124,151,179,222,299}
-{87,101}
-{145,169,181,205,247}
-{6,266}
-{26,33,52,56,106,116}
-{19,21,65,89,104,168}
-{164,181,208}
-{36,67,92,116,248}
-{145,200,247}
-{155,215}
-{49,212}
-{29,57,105,117,131}
-{2,13,68,128,139,140}
-{193,273,273}
-{3,78,105,111,297}
-{49,142,244}
-{32,259}
-{161,205}
-{96,146,179,259}
-{44,45,211,233}
-{56,91,146,166,285}
-{87,107,120,262,299}
-{76,160,276,297}
-{248,266}
-{5,12,188,240,247}
-{164,206,293}
-{15,18,60,163}
-{53,134,172,230,287,290}
-{117,137,146,153,155}
-{72,270}
-{171,251}
-{80,125,137,141,169}
-{52,108,200,219,225,271}
-{29,78,106,221}
-{21,74,110,273}
-{28,88,98,170}
-{83,104}
-{12,152}
-{7,69,143,246,265,269}
-{62,106,157,200}
-{113,260,272,272,294}
-{16,35,80,121,165,176}
-{96,154,172,198,263}
-{29,53,109,128,129,195}
-{131,230,271,273,295,299}
-{53,160,208,231}
-{23,180,208,249,272}
-{45,208,264}
-{14,29,169}
-{116,147,272}
-{7,193,237,271}
-{158,198,253}
-{41,60,71}
-{110,133,200,249}
-{24,159,255}
-{26,39,61,114,218,229}
-{141,286,299}
-{74,278}
-{67,71,155}
-{151,257,284}
-{13,28,72,131,206}
-{60,152,275,295}
-{88,105,184,185}
-{85,190,205,256,283,285}
-{202,285}
-{14,92,160,200,246,279}
-{42,95,157,195}
-{50,99,224,276}
-{32,97,101,122}
-{66,85}
-{19,146,180,242,269,286}
-{24,86,247,274}
-{54,264,270,284}
-{72,77,85,124,127,285}
-{47,249}
-{25,73,102,237}
-{33,68,84,117,120}
-{29,62,172,240,242,273}
-{42,140,182,248,261,282}
-{118,228,284}
-{1,89,158,294}
-{29,89,122,155,208,283}
-{173,208,229}
-{6,22,142,267,299}
-{22,122,173,245,293}
diff --git a/contrib/intarray/expected/_int.out b/contrib/intarray/expected/_int.out
deleted file mode 100644
index d1b440f5a9b..00000000000
--- a/contrib/intarray/expected/_int.out
+++ /dev/null
@@ -1,377 +0,0 @@
---
--- first, define the datatype. Turn off echoing so that expected file
--- does not depend on contents of seg.sql.
---
-\set ECHO none
---test query_int
-select '1'::query_int;
- query_int
------------
- 1
-(1 row)
-
-select ' 1'::query_int;
- query_int
------------
- 1
-(1 row)
-
-select '1 '::query_int;
- query_int
------------
- 1
-(1 row)
-
-select ' 1 '::query_int;
- query_int
------------
- 1
-(1 row)
-
-select ' ! 1 '::query_int;
- query_int
------------
- !1
-(1 row)
-
-select '!1'::query_int;
- query_int
------------
- !1
-(1 row)
-
-select '1|2'::query_int;
- query_int
------------
- 1 | 2
-(1 row)
-
-select '1|!2'::query_int;
- query_int
------------
- 1 | !2
-(1 row)
-
-select '!1|2'::query_int;
- query_int
------------
- !1 | 2
-(1 row)
-
-select '!1|!2'::query_int;
- query_int
------------
- !1 | !2
-(1 row)
-
-select '!(!1|!2)'::query_int;
- query_int
---------------
- !( !1 | !2 )
-(1 row)
-
-select '!(!1|2)'::query_int;
- query_int
--------------
- !( !1 | 2 )
-(1 row)
-
-select '!(1|!2)'::query_int;
- query_int
--------------
- !( 1 | !2 )
-(1 row)
-
-select '!(1|2)'::query_int;
- query_int
-------------
- !( 1 | 2 )
-(1 row)
-
-select '1&2'::query_int;
- query_int
------------
- 1 & 2
-(1 row)
-
-select '!1&2'::query_int;
- query_int
------------
- !1 & 2
-(1 row)
-
-select '1&!2'::query_int;
- query_int
------------
- 1 & !2
-(1 row)
-
-select '!1&!2'::query_int;
- query_int
------------
- !1 & !2
-(1 row)
-
-select '(1&2)'::query_int;
- query_int
------------
- 1 & 2
-(1 row)
-
-select '1&(2)'::query_int;
- query_int
------------
- 1 & 2
-(1 row)
-
-select '!(1)&2'::query_int;
- query_int
------------
- !1 & 2
-(1 row)
-
-select '!(1&2)'::query_int;
- query_int
-------------
- !( 1 & 2 )
-(1 row)
-
-select '1|2&3'::query_int;
- query_int
------------
- 1 | 2 & 3
-(1 row)
-
-select '1|(2&3)'::query_int;
- query_int
------------
- 1 | 2 & 3
-(1 row)
-
-select '(1|2)&3'::query_int;
- query_int
----------------
- ( 1 | 2 ) & 3
-(1 row)
-
-select '1|2&!3'::query_int;
- query_int
-------------
- 1 | 2 & !3
-(1 row)
-
-select '1|!2&3'::query_int;
- query_int
-------------
- 1 | !2 & 3
-(1 row)
-
-select '!1|2&3'::query_int;
- query_int
-------------
- !1 | 2 & 3
-(1 row)
-
-select '!1|(2&3)'::query_int;
- query_int
-------------
- !1 | 2 & 3
-(1 row)
-
-select '!(1|2)&3'::query_int;
- query_int
-----------------
- !( 1 | 2 ) & 3
-(1 row)
-
-select '(!1|2)&3'::query_int;
- query_int
-----------------
- ( !1 | 2 ) & 3
-(1 row)
-
-select '1|(2|(4|(5|6)))'::query_int;
- query_int
--------------------------------
- 1 | ( 2 | ( 4 | ( 5 | 6 ) ) )
-(1 row)
-
-select '1|2|4|5|6'::query_int;
- query_int
--------------------------------
- ( ( ( 1 | 2 ) | 4 ) | 5 ) | 6
-(1 row)
-
-select '1&(2&(4&(5&6)))'::query_int;
- query_int
--------------------
- 1 & 2 & 4 & 5 & 6
-(1 row)
-
-select '1&2&4&5&6'::query_int;
- query_int
--------------------
- 1 & 2 & 4 & 5 & 6
-(1 row)
-
-select '1&(2&(4&(5|6)))'::query_int;
- query_int
------------------------
- 1 & 2 & 4 & ( 5 | 6 )
-(1 row)
-
-select '1&(2&(4&(5|!6)))'::query_int;
- query_int
-------------------------
- 1 & 2 & 4 & ( 5 | !6 )
-(1 row)
-
-CREATE TABLE test__int( a int[] );
-\copy test__int from 'data/test__int.data'
-SELECT count(*) from test__int WHERE a && '{23,50}';
- count
--------
- 403
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '23|50';
- count
--------
- 403
-(1 row)
-
-SELECT count(*) from test__int WHERE a @ '{23,50}';
- count
--------
- 12
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '23&50';
- count
--------
- 12
-(1 row)
-
-SELECT count(*) from test__int WHERE a @ '{20,23}';
- count
--------
- 12
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '50&68';
- count
--------
- 9
-(1 row)
-
-SELECT count(*) from test__int WHERE a @ '{20,23}' or a @ '{50,68}';
- count
--------
- 21
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
- count
--------
- 21
-(1 row)
-
-CREATE INDEX text_idx on test__int using gist ( a gist__int_ops );
-SELECT count(*) from test__int WHERE a && '{23,50}';
- count
--------
- 403
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '23|50';
- count
--------
- 403
-(1 row)
-
-SELECT count(*) from test__int WHERE a @ '{23,50}';
- count
--------
- 12
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '23&50';
- count
--------
- 12
-(1 row)
-
-SELECT count(*) from test__int WHERE a @ '{20,23}';
- count
--------
- 12
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '50&68';
- count
--------
- 9
-(1 row)
-
-SELECT count(*) from test__int WHERE a @ '{20,23}' or a @ '{50,68}';
- count
--------
- 21
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
- count
--------
- 21
-(1 row)
-
-drop index text_idx;
-CREATE INDEX text_idx on test__int using gist ( a gist__intbig_ops );
-SELECT count(*) from test__int WHERE a && '{23,50}';
- count
--------
- 403
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '23|50';
- count
--------
- 403
-(1 row)
-
-SELECT count(*) from test__int WHERE a @ '{23,50}';
- count
--------
- 12
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '23&50';
- count
--------
- 12
-(1 row)
-
-SELECT count(*) from test__int WHERE a @ '{20,23}';
- count
--------
- 12
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '50&68';
- count
--------
- 9
-(1 row)
-
-SELECT count(*) from test__int WHERE a @ '{20,23}' or a @ '{50,68}';
- count
--------
- 21
-(1 row)
-
-SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
- count
--------
- 21
-(1 row)
-
diff --git a/contrib/intarray/sql/_int.sql b/contrib/intarray/sql/_int.sql
deleted file mode 100644
index 52313ef7a17..00000000000
--- a/contrib/intarray/sql/_int.sql
+++ /dev/null
@@ -1,84 +0,0 @@
---
--- first, define the datatype. Turn off echoing so that expected file
--- does not depend on contents of seg.sql.
---
-\set ECHO none
-\i _int.sql
-\set ECHO all
-
---test query_int
-select '1'::query_int;
-select ' 1'::query_int;
-select '1 '::query_int;
-select ' 1 '::query_int;
-select ' ! 1 '::query_int;
-select '!1'::query_int;
-select '1|2'::query_int;
-select '1|!2'::query_int;
-select '!1|2'::query_int;
-select '!1|!2'::query_int;
-select '!(!1|!2)'::query_int;
-select '!(!1|2)'::query_int;
-select '!(1|!2)'::query_int;
-select '!(1|2)'::query_int;
-select '1&2'::query_int;
-select '!1&2'::query_int;
-select '1&!2'::query_int;
-select '!1&!2'::query_int;
-select '(1&2)'::query_int;
-select '1&(2)'::query_int;
-select '!(1)&2'::query_int;
-select '!(1&2)'::query_int;
-select '1|2&3'::query_int;
-select '1|(2&3)'::query_int;
-select '(1|2)&3'::query_int;
-select '1|2&!3'::query_int;
-select '1|!2&3'::query_int;
-select '!1|2&3'::query_int;
-select '!1|(2&3)'::query_int;
-select '!(1|2)&3'::query_int;
-select '(!1|2)&3'::query_int;
-select '1|(2|(4|(5|6)))'::query_int;
-select '1|2|4|5|6'::query_int;
-select '1&(2&(4&(5&6)))'::query_int;
-select '1&2&4&5&6'::query_int;
-select '1&(2&(4&(5|6)))'::query_int;
-select '1&(2&(4&(5|!6)))'::query_int;
-
-
-CREATE TABLE test__int( a int[] );
-
-\copy test__int from 'data/test__int.data'
-
-SELECT count(*) from test__int WHERE a && '{23,50}';
-SELECT count(*) from test__int WHERE a @@ '23|50';
-SELECT count(*) from test__int WHERE a @ '{23,50}';
-SELECT count(*) from test__int WHERE a @@ '23&50';
-SELECT count(*) from test__int WHERE a @ '{20,23}';
-SELECT count(*) from test__int WHERE a @@ '50&68';
-SELECT count(*) from test__int WHERE a @ '{20,23}' or a @ '{50,68}';
-SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
-
-CREATE INDEX text_idx on test__int using gist ( a gist__int_ops );
-
-SELECT count(*) from test__int WHERE a && '{23,50}';
-SELECT count(*) from test__int WHERE a @@ '23|50';
-SELECT count(*) from test__int WHERE a @ '{23,50}';
-SELECT count(*) from test__int WHERE a @@ '23&50';
-SELECT count(*) from test__int WHERE a @ '{20,23}';
-SELECT count(*) from test__int WHERE a @@ '50&68';
-SELECT count(*) from test__int WHERE a @ '{20,23}' or a @ '{50,68}';
-SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
-
-drop index text_idx;
-CREATE INDEX text_idx on test__int using gist ( a gist__intbig_ops );
-
-SELECT count(*) from test__int WHERE a && '{23,50}';
-SELECT count(*) from test__int WHERE a @@ '23|50';
-SELECT count(*) from test__int WHERE a @ '{23,50}';
-SELECT count(*) from test__int WHERE a @@ '23&50';
-SELECT count(*) from test__int WHERE a @ '{20,23}';
-SELECT count(*) from test__int WHERE a @@ '50&68';
-SELECT count(*) from test__int WHERE a @ '{20,23}' or a @ '{50,68}';
-SELECT count(*) from test__int WHERE a @@ '(20&23)|(50&68)';
-
generated by cgit v1.2.3 (git 2.46.0) at 2025-09-05 15:55:50 +0000