Merge the latest changes from trunk.

FossilOrigin-Name: 3047a25f1c41e83f0b4772f7c36fbfec0f12dc7e
This commit is contained in:
drh
2014-03-28 18:35:39 +00:00
12 changed files with 131 additions and 67 deletions
+16 -16
View File
@@ -1,5 +1,5 @@
C Instead\sof\sallocating\sa\ssingle\slarge\sbuffer\sat\sthe\sbeginning\sof\seach\ssort\soperation,\sstart\swith\sa\ssmall\sbuffer\sand\sextend\sit\susing\srealloc()\sas\srequired.
D 2014-03-27T19:25:02.222
C Merge\sthe\slatest\schanges\sfrom\strunk.
D 2014-03-28T18:35:39.779
F Makefile.arm-wince-mingw32ce-gcc d6df77f1f48d690bd73162294bbba7f59507c72f
F Makefile.in 2ef13430cd359f7b361bb863504e227b25cc7f81
F Makefile.linux-gcc 91d710bdc4998cb015f39edf3cb314ec4f4d7e23
@@ -164,7 +164,7 @@ F src/auth.c 523da7fb4979469955d822ff9298352d6b31de34
F src/backup.c a729e63cf5cd1829507cb7b8e89f99b95141bb53
F src/bitvec.c 19a4ba637bd85f8f63fc8c9bae5ade9fb05ec1cb
F src/btmutex.c 976f45a12e37293e32cae0281b15a21d48a8aaa7
F src/btree.c 8d7e432bdd27d63182865c708ea0e7606489b6d1
F src/btree.c a59a199f21338ae1847d69f5db87c3e8ef1b1578
F src/btree.h 232836cb51753f2e96aa8ce0f052c6df850f76ba
F src/btreeInt.h 0be66063468a520e4d66b80c7a1dc26d04ee6ea4
F src/build.c 0d50ef95aad63f4c4fc47f3fa2670d4557c45db0
@@ -222,7 +222,7 @@ F src/shell.c cee9f46f2688a261601b1fd3d7f4b3cddf9b5cdf
F src/sqlite.h.in a2ef671f92747a5a1c8a47bad5c585a8dd9eca80
F src/sqlite3.rc 11094cc6a157a028b301a9f06b3d03089ea37c3e
F src/sqlite3ext.h 886f5a34de171002ad46fae8c36a7d8051c190fc
F src/sqliteInt.h afbf39e96736ceb85e1d896b281ba2406dd70aa0
F src/sqliteInt.h cc9582a91b2910404ccda7b7e198815ea0f75948
F src/sqliteLimit.h 164b0e6749d31e0daa1a4589a169d31c0dec7b3d
F src/status.c 7ac05a5c7017d0b9f0b4bcd701228b784f987158
F src/table.c 2cd62736f845d82200acfa1287e33feb3c15d62e
@@ -279,10 +279,10 @@ F src/utf.c 6dc9ec9f1b3db43ae8ba0365377f11df1ee4c01c
F src/util.c c46c90459ef9bdc0c6c73803cf4c55425b4771cf
F src/vacuum.c 3728d74919d4fb1356f9e9a13e27773db60b7179
F src/vdbe.c 02f2de0b2f3b198438e3e64a2ceba9407bb8348b
F src/vdbe.h fb2c48c198300a7c632f09fc940011d2ad2fc2ae
F src/vdbeInt.h 2b9a6849166d0014c843ae3fd83a062be4efa325
F src/vdbe.h 394464909ed682334aa3d5831aae0c2fe2abef94
F src/vdbeInt.h e6d83e5bfd62fc6685ba1ed6153f7099f82de9f7
F src/vdbeapi.c 0ed6053f947edd0b30f64ce5aeb811872a3450a4
F src/vdbeaux.c f81ef920dcf76aceaa1ce77081e9fc5d7a0993dd
F src/vdbeaux.c 1153175fb57a8454e1c8cf79b59b7bf92b26779d
F src/vdbeblob.c 15377abfb59251bccedd5a9c7d014a895f0c04aa
F src/vdbemem.c 6fc77594c60f6155404f3f8d71bf36d1fdeb4447
F src/vdbesort.c 08d5e1ee199599d9571942f0560f84963c7a1a9b
@@ -291,7 +291,7 @@ F src/vtab.c 21b932841e51ebd7d075e2d0ad1415dce8d2d5fd
F src/wal.c 76e7fc6de229bea8b30bb2539110f03a494dc3a8
F src/wal.h df01efe09c5cb8c8e391ff1715cca294f89668a4
F src/walker.c 11edb74d587bc87b33ca96a5173e3ec1b8389e45
F src/where.c da8ec216f14af617505799b0b4e52c73dda7a5ca
F src/where.c 7d539cedb1c6a6d6b5d2075b8fea3a48db4838eb
F src/whereInt.h 2564055b440e44ebec8b47f237bbccae6719b7af
F test/8_3_names.test ebbb5cd36741350040fd28b432ceadf495be25b2
F test/aggerror.test a867e273ef9e3d7919f03ef4f0e8c0d2767944f2
@@ -403,9 +403,9 @@ F test/corruptC.test 02405cf7ed0c1e989060e1aab6d02ffbc3906fbb
F test/corruptD.test b3c205fac7952b1de645ce44bb02335cd9e3e040
F test/corruptE.test 193b4ca4e927e77c1d5f4f56203ddc998432a7ee
F test/corruptF.test be9fde98e4c93648f1ba52b74e5318edc8f59fe4
F test/corruptG.test 58ec333a01997fe655e34e5bea52b7a2a6b9704d
F test/corruptG.test 1ab3bf97ee7bdba70e0ff3ba2320657df55d1804
F test/corruptH.test 88ed71a086e13591c917aac6de32750e7c7281cb
F test/corruptI.test 1b796461e5b635e0a74e3c4ecb1121c82d319dff
F test/corruptI.test b3e4203d420490fc3d3062711597bc1dea06a789
F test/count.test 42a251178e32f617eda33f76236a7f79825a50b5
F test/coveridxscan.test cdb47d01acc4a634a34fd25abe85189e0d0f1e62
F test/crash.test fb9dc4a02dcba30d4aa5c2c226f98b220b2b959f
@@ -1056,7 +1056,7 @@ F test/wal3.test b22eb662bcbc148c5f6d956eaf94b047f7afe9c0
F test/wal4.test 4744e155cd6299c6bd99d3eab1c82f77db9cdb3c
F test/wal5.test 8f888b50f66b78821e61ed0e233ded5de378224b
F test/wal6.test 527581f5527bf9c24394991e2be83000aace5f9e
F test/wal64k.test 63828c2161ad76ddd4109dee0a096b6ef6895698
F test/wal64k.test 163655ecd2cb8afef4737cac2a40fdd2eeaf20b8
F test/wal7.test 2ae8f427d240099cc4b2dfef63cff44e2a68a1bd
F test/wal8.test 75c42e1bc4545c277fed212f8fc9b7723cd02216
F test/wal9.test 378e76a9ad09cd9bee06c172ad3547b0129a6750
@@ -1121,7 +1121,7 @@ F tool/genfkey.test 4196a8928b78f51d54ef58e99e99401ab2f0a7e5
F tool/getlock.c f4c39b651370156cae979501a7b156bdba50e7ce
F tool/lemon.c 07aba6270d5a5016ba8107b09e431eea4ecdc123
F tool/lempar.c 01ca97f87610d1dac6d8cd96ab109ab1130e76dc
F tool/logest.c 7ad625cac3d54012b27d468b7af6612f78b9ba75
F tool/logest.c 388c318c7ac8b52b7c08ca1e2de0f4ca9a8f7e81
F tool/mkautoconfamal.sh f8d8dbf7d62f409ebed5134998bf5b51d7266383
F tool/mkkeywordhash.c c9e05e4a7bcab8fab9f583d5b321fb72f565ad97
F tool/mkopts.tcl 66ac10d240cc6e86abd37dc908d50382f84ff46e
@@ -1159,7 +1159,7 @@ F tool/vdbe_profile.tcl 67746953071a9f8f2f668b73fe899074e2c6d8c1
F tool/warnings-clang.sh f6aa929dc20ef1f856af04a730772f59283631d4
F tool/warnings.sh d1a6de74685f360ab718efda6265994b99bbea01
F tool/win/sqlite.vsix 030f3eeaf2cb811a3692ab9c14d021a75ce41fff
P f4ac1bf28c4ba395ccab8f1c9df72614a61095a7
R 5fefa7763a5f0d580046ba5219de21a5
U dan
Z 8f7301353335dd4530b24cac1ad9c37a
P 81987c8ceb64f051528a6ca42673821d9ab7c0ff 27deb6e49bcc76714dbdc61b34748603155ac770
R 79fcad4572db3d584834fdf0de4170a6
U drh
Z 871d90dec169e4d494b7ff32475fff97
+1 -1
View File
@@ -1 +1 @@
81987c8ceb64f051528a6ca42673821d9ab7c0ff
3047a25f1c41e83f0b4772f7c36fbfec0f12dc7e
+3
View File
@@ -4588,6 +4588,7 @@ int sqlite3BtreeMovetoUnpacked(
if( pIdxKey ){
xRecordCompare = sqlite3VdbeFindCompare(pIdxKey);
pIdxKey->isCorrupt = 0;
assert( pIdxKey->default_rc==1
|| pIdxKey->default_rc==0
|| pIdxKey->default_rc==-1
@@ -4711,6 +4712,7 @@ int sqlite3BtreeMovetoUnpacked(
c = xRecordCompare(nCell, pCellKey, pIdxKey, 0);
sqlite3_free(pCellKey);
}
assert( pIdxKey->isCorrupt==0 || c==0 );
if( c<0 ){
lwr = idx+1;
}else if( c>0 ){
@@ -4720,6 +4722,7 @@ int sqlite3BtreeMovetoUnpacked(
*pRes = 0;
rc = SQLITE_OK;
pCur->aiIdx[pCur->iPage] = (u16)idx;
if( pIdxKey->isCorrupt ) rc = SQLITE_CORRUPT;
goto moveto_finish;
}
if( lwr>upr ) break;
+1
View File
@@ -1627,6 +1627,7 @@ struct UnpackedRecord {
KeyInfo *pKeyInfo; /* Collation and sort-order information */
u16 nField; /* Number of entries in apMem[] */
i8 default_rc; /* Comparison result if keys are equal */
u8 isCorrupt; /* Corruption detected by xRecordCompare() */
Mem *aMem; /* Values */
int r1; /* Value to return if (lhs > rhs) */
int r2; /* Value to return if (rhs < lhs) */
+2 -2
View File
@@ -211,10 +211,10 @@ void sqlite3VdbeSetVarmask(Vdbe*, int);
#endif
void sqlite3VdbeRecordUnpack(KeyInfo*,int,const void*,UnpackedRecord*);
int sqlite3VdbeRecordCompare(int,const void*,const UnpackedRecord*,int);
int sqlite3VdbeRecordCompare(int,const void*,UnpackedRecord*,int);
UnpackedRecord *sqlite3VdbeAllocUnpackedRecord(KeyInfo *, char *, int, char **);
typedef int (*RecordCompare)(int,const void*,const UnpackedRecord*,int);
typedef int (*RecordCompare)(int,const void*,UnpackedRecord*,int);
RecordCompare sqlite3VdbeFindCompare(UnpackedRecord*);
#ifndef SQLITE_OMIT_TRIGGER
+1 -1
View File
@@ -392,7 +392,7 @@ u32 sqlite3VdbeSerialGet(const unsigned char*, u32, Mem*);
void sqlite3VdbeDeleteAuxData(Vdbe*, int, int);
int sqlite2BtreeKeyCompare(BtCursor *, const void *, int, int, int *);
int sqlite3VdbeIdxKeyCompare(VdbeCursor*,const UnpackedRecord*,int*);
int sqlite3VdbeIdxKeyCompare(VdbeCursor*,UnpackedRecord*,int*);
int sqlite3VdbeIdxRowid(sqlite3*, BtCursor *, i64 *);
int sqlite3MemCompare(const Mem*, const Mem*, const CollSeq*);
int sqlite3VdbeExec(Vdbe*);
+19 -8
View File
@@ -3405,10 +3405,13 @@ static i64 vdbeRecordDecodeInt(u32 serial_type, const u8 *aKey){
** Key1 and Key2 do not have to contain the same number of fields. If all
** fields that appear in both keys are equal, then pPKey2->default_rc is
** returned.
**
** If database corruption is discovered, set pPKey2->isCorrupt to non-zero
** and return 0.
*/
int sqlite3VdbeRecordCompare(
int nKey1, const void *pKey1, /* Left key */
const UnpackedRecord *pPKey2, /* Right key */
UnpackedRecord *pPKey2, /* Right key */
int bSkip /* If true, skip the first field */
){
u32 d1; /* Offset into aKey[] of next data element */
@@ -3434,7 +3437,10 @@ int sqlite3VdbeRecordCompare(
}else{
idx1 = getVarint32(aKey1, szHdr1);
d1 = szHdr1;
if( d1>(unsigned)nKey1 ) return 1; /* Corruption */
if( d1>(unsigned)nKey1 ){
pPKey2->isCorrupt = (u8)SQLITE_CORRUPT_BKPT;
return 0; /* Corruption */
}
i = 0;
}
@@ -3511,7 +3517,8 @@ int sqlite3VdbeRecordCompare(
testcase( (d1+mem1.n)==(unsigned)nKey1 );
testcase( (d1+mem1.n+1)==(unsigned)nKey1 );
if( (d1+mem1.n) > (unsigned)nKey1 ){
rc = 1; /* Corruption */
pPKey2->isCorrupt = (u8)SQLITE_CORRUPT_BKPT;
return 0; /* Corruption */
}else if( pKeyInfo->aColl[i] ){
mem1.enc = pKeyInfo->enc;
mem1.db = pKeyInfo->db;
@@ -3537,7 +3544,8 @@ int sqlite3VdbeRecordCompare(
testcase( (d1+nStr)==(unsigned)nKey1 );
testcase( (d1+nStr+1)==(unsigned)nKey1 );
if( (d1+nStr) > (unsigned)nKey1 ){
rc = 1; /* Corruption */
pPKey2->isCorrupt = (u8)SQLITE_CORRUPT_BKPT;
return 0; /* Corruption */
}else{
int nCmp = MIN(nStr, pRhs->n);
rc = memcmp(&aKey1[d1], pRhs->z, nCmp);
@@ -3596,7 +3604,7 @@ int sqlite3VdbeRecordCompare(
*/
static int vdbeRecordCompareInt(
int nKey1, const void *pKey1, /* Left key */
const UnpackedRecord *pPKey2, /* Right key */
UnpackedRecord *pPKey2, /* Right key */
int bSkip /* Ignored */
){
const u8 *aKey = &((const u8*)pKey1)[*(const u8*)pKey1 & 0x3F];
@@ -3694,7 +3702,7 @@ static int vdbeRecordCompareInt(
*/
static int vdbeRecordCompareString(
int nKey1, const void *pKey1, /* Left key */
const UnpackedRecord *pPKey2, /* Right key */
UnpackedRecord *pPKey2, /* Right key */
int bSkip
){
const u8 *aKey1 = (const u8*)pKey1;
@@ -3715,7 +3723,10 @@ static int vdbeRecordCompareString(
int szHdr = aKey1[0];
nStr = (serial_type-12) / 2;
if( (szHdr + nStr) > nKey1 ) return 0; /* Corruption */
if( (szHdr + nStr) > nKey1 ){
pPKey2->isCorrupt = (u8)SQLITE_CORRUPT_BKPT;
return 0; /* Corruption */
}
nCmp = MIN( pPKey2->aMem[0].n, nStr );
res = memcmp(&aKey1[szHdr], pPKey2->aMem[0].z, nCmp);
@@ -3880,7 +3891,7 @@ idx_rowid_corruption:
*/
int sqlite3VdbeIdxKeyCompare(
VdbeCursor *pC, /* The cursor to compare against */
const UnpackedRecord *pUnpacked, /* Unpacked version of key */
UnpackedRecord *pUnpacked, /* Unpacked version of key */
int *res /* Write the comparison result here */
){
i64 nCellKey = 0;
+35 -11
View File
@@ -4328,18 +4328,34 @@ static int whereLoopAddBtree(
)
){
pNew->iSortIdx = b ? iSortIdx : 0;
/* TUNING: The base cost of an index scan is N + log2(N).
** The log2(N) is for the initial seek to the beginning and the N
** is for the scan itself. */
pNew->rRun = sqlite3LogEstAdd(rSize, rLogSize);
if( m==0 ){
/* TUNING: Cost of a covering index scan is K*(N + log2(N)).
** + The extra factor K of between 1.1 and 3.0 that depends
** on the relative sizes of the table and the index. K
** is smaller for smaller indices, thus favoring them.
** The upper bound on K (3.0) matches the penalty factor
** on a full table scan that tries to encourage the use of
** indexed lookups over full scans.
*/
pNew->rRun = sqlite3LogEstAdd(rSize,rLogSize) + 1 +
(15*pProbe->szIdxRow)/pTab->szTabRow;
pNew->rRun += 1 + (15*pProbe->szIdxRow)/pTab->szTabRow;
}else{
/* TUNING: Cost of scanning a non-covering index is (N+1)*log2(N)
** which we will simplify to just N*log2(N) */
pNew->rRun = rSize + rLogSize;
/* TUNING: The cost of scanning a non-covering index is multiplied
** by log2(N) to account for the binary search of the main table
** that must happen for each row of the index.
** TODO: Should there be a multiplier here, analogous to the 3x
** multiplier for a fulltable scan or covering index scan, to
** further discourage the use of an index scan? Or is the log2(N)
** term sufficient discouragement?
** TODO: What if some or all of the WHERE clause terms can be
** computed without reference to the original table. Then the
** penality should reduce to logK where K is the number of output
** rows.
*/
pNew->rRun += rLogSize;
}
whereLoopOutputAdjust(pWC, pNew);
rc = whereLoopInsert(pBuilder, pNew);
@@ -4920,7 +4936,7 @@ static i8 wherePathSatisfiesOrderBy(
}
}
} /* End the loop over all WhereLoops from outer-most down to inner-most */
if( obSat==obDone ) return nOrderBy;
if( obSat==obDone ) return (i8)nOrderBy;
if( !isOrderDistinct ){
for(i=nOrderBy-1; i>0; i--){
Bitmask m = MASKBIT(i) - 1;
@@ -5041,11 +5057,19 @@ static int wherePathSolver(WhereInfo *pWInfo, LogEst nRowEst){
pWInfo->pOrderBy, pFrom, pWInfo->wctrlFlags,
iLoop, pWLoop, &revMask);
if( isOrdered>=0 && isOrdered<nOrderBy ){
/* TUNING: Estimated cost of sorting cost as roughly N*log(N).
** If some but not all of the columns are in sorted order, then
** scale down the log(N) term. */
LogEst rScale = sqlite3LogEst((nOrderBy-isOrdered)*100/nOrderBy);
LogEst rSortCost = nRowEst + estLog(nRowEst) + rScale - 66;
/* TUNING: Estimated cost of sorting is N*log(N).
** If the order-by clause has X terms but only the last Y terms
** are out of order, then block-sorting will reduce the sorting
** cost to N*log(N)*log(Y/X). The log(Y/X) term is computed
** by rScale.
** TODO: Should the sorting cost get a small multiplier to help
** discourage the use of sorting and encourage the use of index
** scans instead?
*/
LogEst rScale, rSortCost;
assert( nOrderBy>0 );
rScale = sqlite3LogEst((nOrderBy-isOrdered)*100/nOrderBy) - 66;
rSortCost = nRowEst + estLog(nRowEst) + rScale;
/* TUNING: The cost of implementing DISTINCT using a B-TREE is
** also N*log(N) but it has a larger constant of proportionality.
** Multiply by 3.0. */
+3 -8
View File
@@ -47,12 +47,12 @@ do_test 1.2 {
catchsql {
SELECT c FROM t1 WHERE a>'abc';
}
} {0 {}}
} {1 {database disk image is malformed}}
do_test 1.3 {
catchsql {
PRAGMA integrity_check
}
} {0 ok}
} {1 {database disk image is malformed}}
do_test 1.4 {
catchsql {
SELECT c FROM t1 ORDER BY a;
@@ -71,11 +71,6 @@ do_test 2.1 {
catchsql {
SELECT rowid FROM t1 WHERE a='abc' and b='xyz123456789XYZ';
}
# The following test result is brittle. The point above is to try to
# force a buffer overread by a corrupt database file. If we get an
# incorrect answer from a corrupt database file, that is OK. If the
# result below changes, that just means that "undefined behavior" has
# changed.
} {/0 .*/}
} {1 {database disk image is malformed}}
finish_test
+1 -1
View File
@@ -51,7 +51,7 @@ do_test 1.3 {
hexio_write test.db $off FFFF7f02
sqlite3 db test.db
catchsql { SELECT * FROM t1 WHERE a = 10 }
} {0 {}}
} {1 {database disk image is malformed}}
do_test 2.0 {
execsql {
+5 -1
View File
@@ -19,6 +19,11 @@ set testprefix wal64k
ifcapable !wal {finish_test ; return }
if {$tcl_platform(platform) != "unix"} {
finish_test
return
}
db close
test_syscall pagesize 65536
sqlite3 db test.db
@@ -44,4 +49,3 @@ integrity_check 1.3
db close
test_syscall pagesize -1
finish_test
+44 -18
View File
@@ -17,13 +17,7 @@
**
** ./LogEst ARGS
**
** Arguments:
**
** 'x' Multiple the top two elements of the stack
** '+' Add the top two elements of the stack
** NUM Convert NUM from integer to LogEst and push onto the stack
** ^NUM Interpret NUM as a LogEst and push onto stack.
**
** See the showHelp() routine for a description of valid arguments.
** Examples:
**
** To convert 123 from LogEst to integer:
@@ -97,12 +91,31 @@ static LogEst logEstFromDouble(double x){
return e*10;
}
int isInteger(const char *z){
while( z[0]>='0' && z[0]<='9' ) z++;
return z[0]==0;
}
int isFloat(const char *z){
while( z[0] ){
if( z[0]=='.' || z[0]=='E' || z[0]=='e' ) return 1;
z++;
}
return 0;
char c;
while( ((c=z[0])>='0' && c<='9') || c=='.' || c=='E' || c=='e'
|| c=='+' || c=='-' ) z++;
return z[0]==0;
}
static void showHelp(const char *zArgv0){
printf("Usage: %s ARGS...\n", zArgv0);
printf("Arguments:\n"
" NUM Convert NUM from integer to LogEst and push onto the stack\n"
" ^NUM Interpret NUM as a LogEst and push onto stack\n"
" x Multiple the top two elements of the stack\n"
" + Add the top two elements of the stack\n"
" dup Dupliate the top element on the stack\n"
" inv Take the reciprocal of the top of stack. N = 1/N.\n"
" log Find the LogEst of the number on top of stack\n"
" nlogn Compute NlogN where N is the top of stack\n"
);
exit(1);
}
int main(int argc, char **argv){
@@ -111,30 +124,43 @@ int main(int argc, char **argv){
LogEst a[100];
for(i=1; i<argc; i++){
const char *z = argv[i];
if( z[0]=='+' ){
if( strcmp(z,"+")==0 ){
if( n>=2 ){
a[n-2] = logEstAdd(a[n-2],a[n-1]);
n--;
}
}else if( z[0]=='x' ){
}else if( strcmp(z,"x")==0 ){
if( n>=2 ){
a[n-2] = logEstMultiply(a[n-2],a[n-1]);
n--;
}
}else if( strcmp(z,"dup")==0 ){
if( n>0 ){
a[n] = a[n-1];
n++;
}
}else if( strcmp(z,"log")==0 ){
if( n>0 ) a[n-1] = logEstFromInteger(a[n-1]) - 33;
}else if( strcmp(z,"nlogn")==0 ){
if( n>0 ) a[n-1] += logEstFromInteger(a[n-1]) - 33;
}else if( strcmp(z,"inv")==0 ){
if( n>0 ) a[n-1] = -a[n-1];
}else if( z[0]=='^' ){
a[n++] = atoi(z+1);
}else if( isFloat(z) ){
}else if( isInteger(z) ){
a[n++] = logEstFromInteger(atoi(z));
}else if( isFloat(z) && z[0]!='-' ){
a[n++] = logEstFromDouble(atof(z));
}else{
a[n++] = logEstFromInteger(atoi(z));
showHelp(argv[0]);
}
}
for(i=n-1; i>=0; i--){
if( a[i]<0 ){
printf("%d (%f)\n", a[i], 1.0/(double)logEstToInt(-a[i]));
printf("%5d (%f)\n", a[i], 1.0/(double)logEstToInt(-a[i]));
}else{
sqlite3_uint64 x = logEstToInt(a[i]+100)*100/1024;
printf("%d (%lld.%02lld)\n", a[i], x/100, x%100);
printf("%5d (%lld.%02lld)\n", a[i], x/100, x%100);
}
}
return 0;