~ubuntu-branches/ubuntu/trusty/agrep/trusty

« back to all changes in this revision

Viewing changes to agrep.ps.1

Committer: Bazaar Package Importer
Author(s): Daniel Baumann
Date: 2006-07-05 13:29:00 UTC
mfrom: (3.1.1 dapper)
Revision ID: james.westby@ubuntu.com-20060705132900-j24rz8zdk4xqdmoz

Tags: 4.17-3

* New email address.
* Some packaging style changes.

files added:
Makefile.NeXT

Makefile.alpha

Makefile.hp

Makefile.in

Makefile.lnx

Makefile.rs6000

Makefile.sgi

Makefile.solaris

Makefile.sunos

agrep.c

asplit.c

autoconf.h

bitap.c.orig

checksg.c

compat.c.orig

compat.c.rej

config.h

debian/doc

debian/doc/agrep.ps.1

debian/doc/agrep.ps.2

debian/manpages

debian/patches

debian/patches/00list

debian/patches/01-makefile.dpatch

debian/patches/02-manpage.dpatch

defs.h

delim.c

dummyfilters.c

dummysyscalls.c

io.c

io.c.orig

newmgrep.c

putils.c

recursive.c

save

files removed:
agrep.ps.1

agrep.ps.2

debian/dirs

debian/watch

mgrep.c

files modified:
COPYRIGHT

Makefile

README

agrep.1

agrep.algorithms

agrep.chronicle

agrep.h

asearch.c

asearch1.c

bitap.c

checkfile.c

checkfile.h

compat.c

contribution.list

debian/changelog

debian/control

debian/copyright

debian/docs

debian/rules

follow.c

main.c

maskgen.c

parse.c

preprocess.c

re.h

sgrep.c

utilities.c

Show diffs side-by-side

added added

removed removed

agrep.ps.1

%!PS-Adobe-1.0

%%Creator: aloe:udi (Udi Manber)

%%Title: stdin (ditroff)

%%CreationDate: Mon Jun 10 12:20:27 1991

%%EndComments

% Start of psdit.pro -- prolog for ditroff translator

% GOVERNMENT END USERS: See Notice file in TranScript library directory

% -- probably /usr/lib/ps/Notice

% RCS: $Header: psdit.pro,v 2.2 87/11/17 16:40:42 byron Rel $

% Psfig RCSID $Header: psdit.pro,v 1.5 88/01/04 17:48:22 trevor Exp $

/$DITroff 180 dict def $DITroff begin

/DocumentInitState [ matrix currentmatrix currentlinewidth currentlinecap

currentlinejoin currentdash currentgray currentmiterlimit ] cvx def

%% Psfig additions

/startFig {

/SavedState save def

userdict maxlength dict begin

currentpoint transform

DocumentInitState setmiterlimit setgray setdash setlinejoin setlinecap

setlinewidth setmatrix

itransform moveto

/ury exch def

/urx exch def

/lly exch def

/llx exch def

/y exch 72 mul resolution div def

/x exch 72 mul resolution div def

currentpoint /cy exch def /cx exch def

/sx x urx llx sub div def % scaling for x

/sy y ury lly sub div def % scaling for y

sx sy scale % scale by (sx,sy)

cx sx div llx sub

cy sy div ury sub translate

/DefFigCTM matrix currentmatrix def

/initmatrix {

DefFigCTM setmatrix

} def

/defaultmatrix {

DefFigCTM exch copy

} def

/initgraphics {

DocumentInitState setmiterlimit setgray setdash

setlinejoin setlinecap setlinewidth setmatrix

DefFigCTM setmatrix

} def

/showpage {

initgraphics

} def

% Args are llx lly urx ury (in figure coordinates)

/clipFig {

currentpoint 6 2 roll

newpath 4 copy

4 2 roll moveto

6 -1 roll exch lineto

exch lineto

closepath clip

newpath

moveto

} def

% doclip, if called, will always be just after a `startfig'

/doclip { llx lly urx ury clipFig } def

/endFig {

end SavedState restore

} def

/globalstart {

% Push details about the enviornment on the stack.

fontnum fontsize fontslant fontheight

% firstpage

mh my resolution slotno currentpoint

pagesave restore gsave

} def

/globalend {

grestore moveto

/slotno exch def /resolution exch def /my exch def

/mh exch def

% /firstpage exch def

/fontheight exch def

/fontslant exch def /fontsize exch def /fontnum exch def

/pagesave save def

} def

100

%% end XMOD additions

101

102

/fontnum 1 def /fontsize 10 def /fontheight 10 def /fontslant 0 def

103

/xi {0 72 11 mul translate 72 resolution div dup neg scale 0 0 moveto

104

/fontnum 1 def /fontsize 10 def /fontheight 10 def /fontslant 0 def F

105

/pagesave save def}def

106

/PB{save /psv exch def currentpoint translate

107

resolution 72 div dup neg scale 0 0 moveto}def

108

/PE{psv restore}def

109

/m1 matrix def /m2 matrix def /m3 matrix def /oldmat matrix def

110

/tan{dup sin exch cos div}bind def

111

/point{resolution 72 div mul}bind def

112

/dround {transform round exch round exch itransform}bind def

113

/xT{/devname exch def}def

114

/xr{/mh exch def /my exch def /resolution exch def}def

115

/xp{}def

116

/xs{docsave restore end}def

117

/xt{}def

118

/xf{/fontname exch def /slotno exch def fontnames slotno get fontname eq not

119

{fonts slotno fontname findfont put fontnames slotno fontname put}if}def

120

/xH{/fontheight exch def F}bind def

121

/xS{/fontslant exch def F}bind def

122

/s{/fontsize exch def /fontheight fontsize def F}bind def

123

/f{/fontnum exch def F}bind def

124

/F{fontheight 0 le {/fontheight fontsize def}if

125

fonts fontnum get fontsize point 0 0 fontheight point neg 0 0 m1 astore

126

fontslant 0 ne{1 0 fontslant tan 1 0 0 m2 astore m3 concatmatrix}if

127

makefont setfont .04 fontsize point mul 0 dround pop setlinewidth}bind def

128

/X{exch currentpoint exch pop moveto show}bind def

129

/N{3 1 roll moveto show}bind def

130

/Y{exch currentpoint pop exch moveto show}bind def

131

/S /show load def

132

/ditpush{}def/ditpop{}def

133

/AX{3 -1 roll currentpoint exch pop moveto 0 exch ashow}bind def

134

/AN{4 2 roll moveto 0 exch ashow}bind def

135

/AY{3 -1 roll currentpoint pop exch moveto 0 exch ashow}bind def

136

/AS{0 exch ashow}bind def

137

/MX{currentpoint exch pop moveto}bind def

138

/MY{currentpoint pop exch moveto}bind def

139

/MXY /moveto load def

140

/cb{pop}def % action on unknown char -- nothing for now

141

/n{}def/w{}def

142

/p{pop showpage pagesave restore /pagesave save def}def

143

/abspoint{currentpoint exch pop add exch currentpoint pop add exch}def

144

/dstroke{currentpoint stroke moveto}bind def

145

/Dl{2 copy gsave rlineto stroke grestore rmoveto}bind def

146

/arcellipse{oldmat currentmatrix pop

147

currentpoint translate 1 diamv diamh div scale /rad diamh 2 div def

148

rad 0 rad -180 180 arc oldmat setmatrix}def

149

/Dc{gsave dup /diamv exch def /diamh exch def arcellipse dstroke

150

grestore diamh 0 rmoveto}def

151

/De{gsave /diamv exch def /diamh exch def arcellipse dstroke

152

grestore diamh 0 rmoveto}def

153

/Da{currentpoint /by exch def /bx exch def /fy exch def /fx exch def

154

/cy exch def /cx exch def /rad cx cx mul cy cy mul add sqrt def

155

/ang1 cy neg cx neg atan def /ang2 fy fx atan def cx bx add cy by add

156

2 copy rad ang1 ang2 arcn stroke exch fx add exch fy add moveto}def

157

/Barray 200 array def % 200 values in a wiggle

158

/D~{mark}def

159

/D~~{counttomark Barray exch 0 exch getinterval astore /Bcontrol exch def pop

160

/Blen Bcontrol length def Blen 4 ge Blen 2 mod 0 eq and

161

{Bcontrol 0 get Bcontrol 1 get abspoint /Ycont exch def /Xcont exch def

162

Bcontrol 0 2 copy get 2 mul put Bcontrol 1 2 copy get 2 mul put

163

Bcontrol Blen 2 sub 2 copy get 2 mul put

164

Bcontrol Blen 1 sub 2 copy get 2 mul put

165

/Ybi /Xbi currentpoint 3 1 roll def def 0 2 Blen 4 sub

166

{/i exch def

167

Bcontrol i get 3 div Bcontrol i 1 add get 3 div

168

Bcontrol i get 3 mul Bcontrol i 2 add get add 6 div

169

Bcontrol i 1 add get 3 mul Bcontrol i 3 add get add 6 div

170

/Xbi Xcont Bcontrol i 2 add get 2 div add def

171

/Ybi Ycont Bcontrol i 3 add get 2 div add def

172

/Xcont Xcont Bcontrol i 2 add get add def

173

/Ycont Ycont Bcontrol i 3 add get add def

174

Xbi currentpoint pop sub Ybi currentpoint exch pop sub rcurveto

175

}for dstroke}if}def

176

end

177

/ditstart{$DITroff begin

178

/nfonts 60 def % NFONTS makedev/ditroff dependent!

179

/fonts[nfonts{0}repeat]def

180

/fontnames[nfonts{()}repeat]def

181

/docsave save def

182

}def

183

184

% character outcalls

185

/oc {/pswid exch def /cc exch def /name exch def

186

/ditwid pswid fontsize mul resolution mul 72000 div def

187

/ditsiz fontsize resolution mul 72 div def

188

ocprocs name known{ocprocs name get exec}{name cb}

189

ifelse}def

190

/fractm [.65 0 0 .6 0 0] def

191

/fraction

192

{/fden exch def /fnum exch def gsave /cf currentfont def

193

cf fractm makefont setfont 0 .3 dm 2 copy neg rmoveto

194

fnum show rmoveto currentfont cf setfont(\244)show setfont fden show

195

grestore ditwid 0 rmoveto} def

196

/oce {grestore ditwid 0 rmoveto}def

197

/dm {ditsiz mul}def

198

/ocprocs 50 dict def ocprocs begin

199

(14){(1)(4)fraction}def

200

(12){(1)(2)fraction}def

201

(34){(3)(4)fraction}def

202

(13){(1)(3)fraction}def

203

(23){(2)(3)fraction}def

204

(18){(1)(8)fraction}def

205

(38){(3)(8)fraction}def

206

(58){(5)(8)fraction}def

207

(78){(7)(8)fraction}def

208

(sr){gsave .05 dm .16 dm rmoveto(\326)show oce}def

209

(is){gsave 0 .15 dm rmoveto(\362)show oce}def

210

(->){gsave 0 .02 dm rmoveto(\256)show oce}def

211

(<-){gsave 0 .02 dm rmoveto(\254)show oce}def

212

(==){gsave 0 .05 dm rmoveto(\272)show oce}def

213

end

214

% DIThacks fonts for some special chars

215

50 dict dup begin

216

/FontType 3 def

217

/FontName /DIThacks def

218

/FontMatrix [.001 0.0 0.0 .001 0.0 0.0] def

219

/FontBBox [-220 -280 900 900] def% a lie but ...

220

/Encoding 256 array def

221

0 1 255{Encoding exch /.notdef put}for

222

Encoding

223

dup 8#040/space put %space

224

dup 8#110/rc put %right ceil

225

dup 8#111/lt put %left top curl

226

dup 8#112/bv put %bold vert

227

dup 8#113/lk put %left mid curl

228

dup 8#114/lb put %left bot curl

229

dup 8#115/rt put %right top curl

230

dup 8#116/rk put %right mid curl

231

dup 8#117/rb put %right bot curl

232

dup 8#120/rf put %right floor

233

dup 8#121/lf put %left floor

234

dup 8#122/lc put %left ceil

235

dup 8#140/sq put %square

236

dup 8#141/bx put %box

237

dup 8#142/ci put %circle

238

dup 8#143/br put %box rule

239

dup 8#144/rn put %root extender

240

dup 8#145/vr put %vertical rule

241

dup 8#146/ob put %outline bullet

242

dup 8#147/bu put %bullet

243

dup 8#150/ru put %rule

244

dup 8#151/ul put %underline

245

pop

246

/DITfd 100 dict def

247

/BuildChar{0 begin

248

/cc exch def /fd exch def

249

/charname fd /Encoding get cc get def

250

/charwid fd /Metrics get charname get def

251

/charproc fd /CharProcs get charname get def

252

charwid 0 fd /FontBBox get aload pop setcachedevice

253

40 setlinewidth

254

newpath 0 0 moveto gsave charproc grestore

255

end}def

256

/BuildChar load 0 DITfd put

257

%/UniqueID 5 def

258

/CharProcs 50 dict def

259

CharProcs begin

260

/space{}def

261

/.notdef{}def

262

/ru{500 0 rls}def

263

/rn{0 750 moveto 500 0 rls}def

264

/vr{20 800 moveto 0 -770 rls}def

265

/bv{20 800 moveto 0 -1000 rls}def

266

/br{20 770 moveto 0 -1040 rls}def

267

/ul{0 -250 moveto 500 0 rls}def

268

/ob{200 250 rmoveto currentpoint newpath 200 0 360 arc closepath stroke}def

269

/bu{200 250 rmoveto currentpoint newpath 200 0 360 arc closepath fill}def

270

/sq{80 0 rmoveto currentpoint dround newpath moveto

271

640 0 rlineto 0 640 rlineto -640 0 rlineto closepath stroke}def

272

/bx{80 0 rmoveto currentpoint dround newpath moveto

273

640 0 rlineto 0 640 rlineto -640 0 rlineto closepath fill}def

274

/ci{355 333 rmoveto currentpoint newpath 333 0 360 arc

275

50 setlinewidth stroke}def

276

277

/lt{20 -200 moveto 0 550 rlineto currx 800 2cx s4 add exch s4 a4p stroke}def

278

/lb{20 800 moveto 0 -550 rlineto currx -200 2cx s4 add exch s4 a4p stroke}def

279

/rt{20 -200 moveto 0 550 rlineto currx 800 2cx s4 sub exch s4 a4p stroke}def

280

/rb{20 800 moveto 0 -500 rlineto currx -200 2cx s4 sub exch s4 a4p stroke}def

281

/lk{20 800 moveto 20 300 -280 300 s4 arcto pop pop 1000 sub

282

currentpoint stroke moveto

283

20 300 4 2 roll s4 a4p 20 -200 lineto stroke}def

284

/rk{20 800 moveto 20 300 320 300 s4 arcto pop pop 1000 sub

285

currentpoint stroke moveto

286

20 300 4 2 roll s4 a4p 20 -200 lineto stroke}def

287

/lf{20 800 moveto 0 -1000 rlineto s4 0 rls}def

288

/rf{20 800 moveto 0 -1000 rlineto s4 neg 0 rls}def

289

/lc{20 -200 moveto 0 1000 rlineto s4 0 rls}def

290

/rc{20 -200 moveto 0 1000 rlineto s4 neg 0 rls}def

291

end

292

293

/Metrics 50 dict def Metrics begin

294

/.notdef 0 def

295

/space 500 def

296

/ru 500 def

297

/br 0 def

298

/lt 250 def

299

/lb 250 def

300

/rt 250 def

301

/rb 250 def

302

/lk 250 def

303

/rk 250 def

304

/rc 250 def

305

/lc 250 def

306

/rf 250 def

307

/lf 250 def

308

/bv 250 def

309

/ob 350 def

310

/bu 350 def

311

/ci 750 def

312

/bx 750 def

313

/sq 750 def

314

/rn 500 def

315

/ul 500 def

316

/vr 0 def

317

end

318

319

DITfd begin

320

/s2 500 def /s4 250 def /s3 333 def

321

/a4p{arcto pop pop pop pop}def

322

/2cx{2 copy exch}def

323

/rls{rlineto stroke}def

324

/currx{currentpoint pop}def

325

/dround{transform round exch round exch itransform} def

326

end

327

end

328

/DIThacks exch definefont pop

329

330

ditstart

331

(psc)xT

332

576 1 1 xr

333

1(Times-Roman)xf 1 f

334

2(Times-Italic)xf 2 f

335

3(Times-Bold)xf 3 f

336

4(Times-BoldItalic)xf 4 f

337

5(Helvetica)xf 5 f

338

6(Helvetica-Bold)xf 6 f

339

7(Courier)xf 7 f

340

8(Courier-Bold)xf 8 f

341

9(Symbol)xf 9 f

342

10(DIThacks)xf 10 f

343

10 s

344

1 f

345

346

%%EndProlog

347

348

%%Page: 1 1

349

10 s 10 xH 0 xS 1 f

350

288 768 MXY

351

0 0 MXY

352

353

130 -108 moveto 351 0 rlineto 0 -234 rlineto -351 0 rlineto closepath

354

1 setlinewidth stroke % draw box outline

355

/ctext { 3 1 roll moveto dup stringwidth pop -2 div 0 rmoveto show } def

356

/Times-Roman findfont 18 scalefont setfont

357

306 -450 (DEPARTMENT OF COMPUTER SCIENCE) ctext

358

192 -612 translate % position for wordmark

359

-187 -638 translate % cancel wordmark coordinate system

360

%!PS-Adobe-3.0 EPSF-3.0

361

%%%Creator: Adobe Illustrator(TM) 3.0

362

%%%For: (Pat Crowe) (PPSS)

363

%%%Title: (wm)

364

%%%CreationDate: (1/2/91) (8:53 AM)

365

%%%DocumentProcessColors: Black

366

%%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0

367

%%%+ procset Adobe_cmykcolor 1.1 0

368

%%%+ procset Adobe_cshow 1.1 0

369

%%%+ procset Adobe_customcolor 1.0 0

370

%%%+ procset Adobe_IllustratorA_AI3 1.0 0

371

%%%BoundingBox: 187 638 416 733

372

%%AI3_ColorUsage: Black&White

373

%%AI3_TemplateBox: 306 396 306 396

374

%%AI3_TileBox: -522 761 30 1491

375

%%AI3_DocumentPreview: Macintosh_Pic

376

%%%EndComments

377

%%%BeginProlog

378

%%%BeginResource: procset Adobe_packedarray 2.0 0

379

%%%Title: (Packed Array Operators)

380

%%%Version: 2.0

381

%%%CreationDate: (8/2/90) ()

382

383

userdict /Adobe_packedarray 5 dict dup begin put

384

/initialize % - initialize -

385

{

386

/packedarray where

387

{

388

pop

389

}

390

{

391

Adobe_packedarray begin

392

Adobe_packedarray

393

{

394

dup xcheck

395

{

396

bind

397

} if

398

userdict 3 1 roll put

399

} forall

400

end

401

} ifelse

402

} def

403

/terminate % - terminate -

404

{

405

} def

406

/packedarray % arguments count packedarray array

407

{

408

array astore readonly

409

} def

410

/setpacking % boolean setpacking -

411

{

412

pop

413

} def

414

/currentpacking % - setpacking boolean

415

{

416

false

417

} def

418

currentdict readonly pop end

419

%%%EndResource

420

Adobe_packedarray /initialize get exec

421

%%%BeginResource: procset Adobe_cmykcolor 1.1 0

422

%%%Title: (CMYK Color Operators)

423

%%%Version: 1.1

424

%%%CreationDate: (1/23/89) ()

425

426

currentpacking true setpacking

427

userdict /Adobe_cmykcolor 4 dict dup begin put

428

/initialize % - initialize -

429

{

430

/setcmykcolor where

431

{

432

pop

433

}

434

{

435

userdict /Adobe_cmykcolor_vars 2 dict dup begin put

436

/_setrgbcolor

437

/setrgbcolor load def

438

/_currentrgbcolor

439

/currentrgbcolor load def

440

Adobe_cmykcolor begin

441

Adobe_cmykcolor

442

{

443

dup xcheck

444

{

445

bind

446

} if

447

pop pop

448

} forall

449

end

450

end

451

Adobe_cmykcolor begin

452

} ifelse

453

} def

454

/terminate % - terminate -

455

{

456

currentdict Adobe_cmykcolor eq

457

{

458

end

459

} if

460

} def

461

/setcmykcolor % cyan magenta yellow black setcmykcolor -

462

{

463

1 sub 4 1 roll

464

465

{

466

3 index add neg dup 0 lt

467

{

468

pop 0

469

} if

470

3 1 roll

471

} repeat

472

Adobe_cmykcolor_vars /_setrgbcolor get exec

473

pop

474

} def

475

/currentcmykcolor % - currentcmykcolor cyan magenta yellow black

476

{

477

Adobe_cmykcolor_vars /_currentrgbcolor get exec

478

479

{

480

1 sub neg 3 1 roll

481

} repeat

482

483

} def

484

currentdict readonly pop end

485

setpacking

486

%%%EndResource

487

%%%BeginResource: procset Adobe_cshow 1.1 0

488

%%%Title: (cshow Operator)

489

%%%Version: 1.1

490

%%%CreationDate: (1/23/89) ()

491

492

currentpacking true setpacking

493

userdict /Adobe_cshow 3 dict dup begin put

494

/initialize % - initialize -

495

{

496

/cshow where

497

{

498

pop

499

}

500

{

501

userdict /Adobe_cshow_vars 1 dict dup begin put

502

/_cshow % - _cshow proc

503

{} def

504

Adobe_cshow begin

505

Adobe_cshow

506

{

507

dup xcheck

508

{

509

bind

510

} if

511

userdict 3 1 roll put

512

} forall

513

end

514

end

515

} ifelse

516

} def

517

/terminate % - terminate -

518

{

519

} def

520

/cshow % proc string cshow -

521

{

522

exch

523

Adobe_cshow_vars

524

exch /_cshow

525

exch put

526

{

527

0 0 Adobe_cshow_vars /_cshow get exec

528

} forall

529

} def

530

currentdict readonly pop end

531

setpacking

532

%%%EndResource

533

%%%BeginResource: procset Adobe_customcolor 1.0 0

534

%%%Title: (Custom Color Operators)

535

%%%Version: 1.0

536

%%%CreationDate: (5/9/88) ()

537

538

currentpacking true setpacking

539

userdict /Adobe_customcolor 5 dict dup begin put

540

/initialize % - initialize -

541

{

542

/setcustomcolor where

543

{

544

pop

545

}

546

{

547

Adobe_customcolor begin

548

Adobe_customcolor

549

{

550

dup xcheck

551

{

552

bind

553

} if

554

pop pop

555

} forall

556

end

557

Adobe_customcolor begin

558

} ifelse

559

} def

560

/terminate % - terminate -

561

{

562

currentdict Adobe_customcolor eq

563

{

564

end

565

} if

566

} def

567

/findcmykcustomcolor % cyan magenta yellow black name findcmykcustomcolor object

568

{

569

5 packedarray

570

} def

571

/setcustomcolor % object tint setcustomcolor -

572

{

573

exch

574

aload pop pop

575

576

{

577

4 index mul 4 1 roll

578

} repeat

579

5 -1 roll pop

580

setcmykcolor

581

} def

582

/setoverprint % boolean setoverprint -

583

{

584

pop

585

} def

586

currentdict readonly pop end

587

setpacking

588

%%%EndResource

589

%%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 0

590

%%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)

591

%%%Version: 1.0

592

%%%CreationDate: (7/22/89) ()

593

594

currentpacking true setpacking

595

userdict /Adobe_IllustratorA_AI3 61 dict dup begin put

596

%% initialization

597

/initialize % - initialize -

598

{

599

userdict /Adobe_IllustratorA_AI3_vars 46 dict dup begin put

600

%% paint operands

601

/_lp /none def

602

/_pf {} def

603

/_ps {} def

604

/_psf {} def

605

/_pss {} def

606

/_pjsf {} def

607

/_pjss {} def

608

/_pola 0 def

609

/_doClip 0 def

610

%% paint operators

611

/cf currentflat def % - cf flatness

612

%% typography operands

613

/_tm matrix def

614

/_renderStart [/e0 /r0 /a0 /o0 /i0 /i0 /i0 /i0] def

615

/_renderEnd [null null null null /e1 /r1 /a1 /clip] def

616

/_render -1 def

617

/_rise 0 def

618

/_ax 0 def % x character spacing (_ax, _ay, _cx, _cy follows awidthshow naming convention)

619

/_ay 0 def % y character spacing

620

/_cx 0 def % x word spacing

621

/_cy 0 def % y word spacing

622

/_leading [0 0] def

623

/_ctm matrix def

624

/_mtx matrix def

625

/_sp 16#020 def

626

/_hyphen (-) def

627

/_fScl 0 def

628

/_cnt 0 def

629

/_hs 1 def

630

/_nativeEncoding 0 def

631

/_useNativeEncoding 0 def

632

/_tempEncode 0 def

633

/_pntr 0 def

634

%% typography operators

635

/Tx {} def

636

/Tj {} def

637

%% compound path operators

638

/CRender {} def

639

%% printing

640

/_AI3_savepage {} def

641

%% color operands

642

/_gf null def

643

/_cf 4 array def

644

/_if null def

645

/_of false def

646

/_fc {} def

647

/_gs null def

648

/_cs 4 array def

649

/_is null def

650

/_os false def

651

/_sc {} def

652

/_i null def

653

Adobe_IllustratorA_AI3 begin

654

Adobe_IllustratorA_AI3

655

{

656

dup xcheck

657

{

658

bind

659

} if

660

pop pop

661

} forall

662

end

663

end

664

Adobe_IllustratorA_AI3 begin

665

Adobe_IllustratorA_AI3_vars begin

666

newpath

667

} def

668

/terminate % - terminate -

669

{

670

end

671

end

672

} def

673

%% definition operators

674

/_ % - _ null

675

null def

676

/ddef % key value ddef -

677

{

678

Adobe_IllustratorA_AI3_vars 3 1 roll put

679

} def

680

/xput % key value literal xput -

681

{

682

dup load dup length exch maxlength eq

683

{

684

dup dup load dup

685

length 2 mul dict copy def

686

} if

687

load begin def end

688

} def

689

/npop % integer npop -

690

{

691

{

692

pop

693

} repeat

694

} def

695

%% marking operators

696

/sw % ax ay string sw x y

697

{

698

dup length exch stringwidth

699

exch 5 -1 roll 3 index 1 sub mul add

700

4 1 roll 3 1 roll 1 sub mul add

701

} def

702

/swj % cx cy fillchar ax ay string swj x y

703

{

704

dup 4 1 roll

705

dup length exch stringwidth

706

exch 5 -1 roll 3 index 1 sub mul add

707

4 1 roll 3 1 roll 1 sub mul add

708

6 2 roll /_cnt 0 ddef

709

{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop

710

exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop

711

} def

712

/ss % ax ay string matrix ss -

713

{

714

4 1 roll

715

{ % matrix ax ay char 0 0 {proc} -

716

2 npop

717

(0) exch 2 copy 0 exch put pop

718

gsave

719

false charpath currentpoint

720

4 index setmatrix

721

stroke

722

grestore

723

moveto

724

2 copy rmoveto

725

} exch cshow

726

3 npop

727

} def

728

/jss % cx cy fillchar ax ay string matrix jss -

729

{

730

4 1 roll

731

{ % cx cy fillchar matrix ax ay char 0 0 {proc} -

732

2 npop

733

(0) exch 2 copy 0 exch put

734

gsave

735

_sp eq

736

{

737

exch 6 index 6 index 6 index 5 -1 roll widthshow

738

currentpoint

739

}

740

{

741

false charpath currentpoint

742

4 index setmatrix stroke

743

}ifelse

744

grestore

745

moveto

746

2 copy rmoveto

747

} exch cshow

748

6 npop

749

} def

750

%% path operators

751

/sp % ax ay string sp -

752

{

753

{

754

2 npop (0) exch

755

2 copy 0 exch put pop

756

false charpath

757

2 copy rmoveto

758

} exch cshow

759

2 npop

760

} def

761

/jsp % cx cy fillchar ax ay string jsp -

762

{

763

{ % cx cy fillchar ax ay char 0 0 {proc} -

764

2 npop

765

(0) exch 2 copy 0 exch put

766

_sp eq

767

{

768

exch 5 index 5 index 5 index 5 -1 roll widthshow

769

}

770

{

771

false charpath

772

}ifelse

773

2 copy rmoveto

774

} exch cshow

775

5 npop

776

} def

777

%% path construction operators

778

/pl % x y pl x y

779

{

780

transform

781

0.25 sub round 0.25 add exch

782

0.25 sub round 0.25 add exch

783

itransform

784

} def

785

/setstrokeadjust where

786

{

787

pop true setstrokeadjust

788

/c % x1 y1 x2 y2 x3 y3 c -

789

{

790

curveto

791

} def

792

793

/c load def

794

/v % x2 y2 x3 y3 v -

795

{

796

currentpoint 6 2 roll curveto

797

} def

798

799

/v load def

800

/y % x1 y1 x2 y2 y -

801

{

802

2 copy curveto

803

} def

804

805

/y load def

806

/l % x y l -

807

{

808

lineto

809

} def

810

811

/l load def

812

/m % x y m -

813

{

814

moveto

815

} def

816

}

817

{%else

818

819

{

820

pl curveto

821

} def

822

823

/c load def

824

825

{

826

currentpoint 6 2 roll pl curveto

827

} def

828

829

/v load def

830

831

{

832

pl 2 copy curveto

833

} def

834

835

/y load def

836

837

{

838

pl lineto

839

} def

840

841

/l load def

842

843

{

844

pl moveto

845

} def

846

}ifelse

847

%% graphic state operators

848

/d % array phase d -

849

{

850

setdash

851

} def

852

/cf {} def % - cf flatness

853

/i % flatness i -

854

{

855

dup 0 eq

856

{

857

pop cf

858

} if

859

setflat

860

} def

861

/j % linejoin j -

862

{

863

setlinejoin

864

} def

865

/J % linecap J -

866

{

867

setlinecap

868

} def

869

/M % miterlimit M -

870

{

871

setmiterlimit

872

} def

873

/w % linewidth w -

874

{

875

setlinewidth

876

} def

877

%% path painting operators

878

/H % - H -

879

{} def

880

/h % - h -

881

{

882

closepath

883

} def

884

/N % - N -

885

{

886

_pola 0 eq

887

{

888

_doClip 1 eq {clip /_doClip 0 ddef} if

889

newpath

890

}

891

{

892

/CRender {N} ddef

893

}ifelse

894

} def

895

/n % - n -

896

{N} def

897

/F % - F -

898

{

899

_pola 0 eq

900

{

901

_doClip 1 eq

902

{

903

gsave _pf grestore clip newpath /_lp /none ddef _fc

904

/_doClip 0 ddef

905

}

906

{

907

_pf

908

}ifelse

909

}

910

{

911

/CRender {F} ddef

912

}ifelse

913

} def

914

/f % - f -

915

{

916

closepath

917

918

} def

919

/S % - S -

920

{

921

_pola 0 eq

922

{

923

_doClip 1 eq

924

{

925

gsave _ps grestore clip newpath /_lp /none ddef _sc

926

/_doClip 0 ddef

927

}

928

{

929

_ps

930

}ifelse

931

}

932

{

933

/CRender {S} ddef

934

}ifelse

935

} def

936

/s % - s -

937

{

938

closepath

939

940

} def

941

/B % - B -

942

{

943

_pola 0 eq

944

{

945

_doClip 1 eq % F clears _doClip

946

gsave F grestore

947

{

948

gsave S grestore clip newpath /_lp /none ddef _sc

949

/_doClip 0 ddef

950

}

951

{

952

953

}ifelse

954

}

955

{

956

/CRender {B} ddef

957

}ifelse

958

} def

959

/b % - b -

960

{

961

closepath

962

963

} def

964

/W % - W -

965

{

966

/_doClip 1 ddef

967

} def

968

/* % - [string] * -

969

{

970

count 0 ne

971

{

972

dup type (stringtype) eq {pop} if

973

} if

974

_pola 0 eq {newpath} if

975

} def

976

%% group operators

977

/u % - u -

978

{} def

979

/U % - U -

980

{} def

981

/q % - q -

982

{

983

_pola 0 eq {gsave} if

984

} def

985

/Q % - Q -

986

{

987

_pola 0 eq {grestore} if

988

} def

989

/*u % - *u -

990

{

991

_pola 1 add /_pola exch ddef

992

} def

993

/*U % - *U -

994

{

995

_pola 1 sub /_pola exch ddef

996

_pola 0 eq {CRender} if

997

} def

998

/D % polarized D -

999

{pop} def

1000

/*w % - *w -

1001

{} def

1002

/*W % - *W -

1003

{} def

1004

%% place operators

1005

/` % matrix llx lly urx ury string ` -

1006

{

1007

/_i save ddef

1008

6 1 roll 4 npop

1009

concat

1010

userdict begin

1011

/showpage {} def

1012

false setoverprint

1013

pop

1014

} def

1015

/~ % - ~ -

1016

{

1017

end

1018

_i restore

1019

} def

1020

%% color operators

1021

/O % flag O -

1022

{

1023

0 ne

1024

/_of exch ddef

1025

/_lp /none ddef

1026

} def

1027

/R % flag R -

1028

{

1029

0 ne

1030

/_os exch ddef

1031

/_lp /none ddef

1032

} def

1033

/g % gray g -

1034

{

1035

/_gf exch ddef

1036

/_fc

1037

{

1038

_lp /fill ne

1039

{

1040

_of setoverprint

1041

_gf setgray

1042

/_lp /fill ddef

1043

} if

1044

} ddef

1045

/_pf

1046

{

1047

_fc

1048

fill

1049

} ddef

1050

/_psf

1051

{

1052

_fc

1053

ashow

1054

} ddef

1055

/_pjsf

1056

{

1057

_fc

1058

awidthshow

1059

} ddef

1060

/_lp /none ddef

1061

} def

1062

/G % gray G -

1063

{

1064

/_gs exch ddef

1065

/_sc

1066

{

1067

_lp /stroke ne

1068

{

1069

_os setoverprint

1070

_gs setgray

1071

/_lp /stroke ddef

1072

} if

1073

} ddef

1074

/_ps

1075

{

1076

_sc

1077

stroke

1078

} ddef

1079

/_pss

1080

{

1081

_sc

1082

1083

} ddef

1084

/_pjss

1085

{

1086

_sc

1087

jss

1088

} ddef

1089

/_lp /none ddef

1090

} def

1091

/k % cyan magenta yellow black k -

1092

{

1093

_cf astore pop

1094

/_fc

1095

{

1096

_lp /fill ne

1097

{

1098

_of setoverprint

1099

_cf aload pop setcmykcolor

1100

/_lp /fill ddef

1101

} if

1102

} ddef

1103

/_pf

1104

{

1105

_fc

1106

fill

1107

} ddef

1108

/_psf

1109

{

1110

_fc

1111

ashow

1112

} ddef

1113

/_pjsf

1114

{

1115

_fc

1116

awidthshow

1117

} ddef

1118

/_lp /none ddef

1119

} def

1120

/K % cyan magenta yellow black K -

1121

{

1122

_cs astore pop

1123

/_sc

1124

{

1125

_lp /stroke ne

1126

{

1127

_os setoverprint

1128

_cs aload pop setcmykcolor

1129

/_lp /stroke ddef

1130

} if

1131

} ddef

1132

/_ps

1133

{

1134

_sc

1135

stroke

1136

} ddef

1137

/_pss

1138

{

1139

_sc

1140

1141

} ddef

1142

/_pjss

1143

{

1144

_sc

1145

jss

1146

} ddef

1147

/_lp /none ddef

1148

} def

1149

/x % cyan magenta yellow black name gray x -

1150

{

1151

/_gf exch ddef

1152

findcmykcustomcolor

1153

/_if exch ddef

1154

/_fc

1155

{

1156

_lp /fill ne

1157

{

1158

_of setoverprint

1159

_if _gf 1 exch sub setcustomcolor

1160

/_lp /fill ddef

1161

} if

1162

} ddef

1163

/_pf

1164

{

1165

_fc

1166

fill

1167

} ddef

1168

/_psf

1169

{

1170

_fc

1171

ashow

1172

} ddef

1173

/_pjsf

1174

{

1175

_fc

1176

awidthshow

1177

} ddef

1178

/_lp /none ddef

1179

} def

1180

/X % cyan magenta yellow black name gray X -

1181

{

1182

/_gs exch ddef

1183

findcmykcustomcolor

1184

/_is exch ddef

1185

/_sc

1186

{

1187

_lp /stroke ne

1188

{

1189

_os setoverprint

1190

_is _gs 1 exch sub setcustomcolor

1191

/_lp /stroke ddef

1192

} if

1193

} ddef

1194

/_ps

1195

{

1196

_sc

1197

stroke

1198

} ddef

1199

/_pss

1200

{

1201

_sc

1202

1203

} ddef

1204

/_pjss

1205

{

1206

_sc

1207

jss

1208

} ddef

1209

/_lp /none ddef

1210

} def

1211

%% locked object operator

1212

/A % value A -

1213

{

1214

pop

1215

} def

1216

currentdict readonly pop end

1217

setpacking

1218

%% annotate page operator

1219

/annotatepage

1220

{

1221

} def

1222

%%%EndResource

1223

%%%EndProlog

1224

%%%BeginSetup

1225

Adobe_cmykcolor /initialize get exec

1226

Adobe_cshow /initialize get exec

1227

Adobe_customcolor /initialize get exec

1228

Adobe_IllustratorA_AI3 /initialize get exec

1229

%%%EndSetup

1230

0 A

1231

1232

0 O

1233

0 g

1234

0 i 0 J 0 j 1 w 4 M []0 d

1235

%%AI3_Note:

1236

0 D

1237

236.1606 721.7052 m

1238

236.1606 720.565 236.1406 719.7848 237.2008 719.1647 c

1239

237.2008 719.1047 L

1240

233.24 719.1047 L

1241

233.24 719.1647 L

1242

234.2402 719.5448 234.1201 721.0051 234.1201 721.9053 c

1243

234.1201 730.8272 L

1244

232.3598 730.8272 L

1245

231.4996 730.8272 230.5994 730.6071 229.9793 730.027 c

1246

229.9192 730.027 L

1247

230.6194 732.4075 L

1248

230.6794 732.4075 L

1249

230.9195 732.3075 231.1795 732.3075 231.4396 732.2675 c

1250

231.9397 732.2675 L

1251

239.4013 732.2675 L

1252

239.7413 732.2675 240.0614 732.2875 240.3215 732.4075 c

1253

240.3815 732.4075 L

1254

239.7413 730.027 L

1255

239.6813 730.027 L

1256

239.4213 730.7272 238.6211 730.8272 237.961 730.8272 c

1257

236.1606 730.8272 L

1258

236.1606 721.7052 l

1259

1260

242.7238 724.2428 m

1261

242.7238 721.3456 L

1262

242.7238 720.6253 242.6277 719.4568 243.4281 719.1527 c

1263

243.4281 719.1047 L

1264

240.3868 719.1047 L

1265

240.3868 719.1527 L

1266

241.1872 719.4568 241.0911 720.6253 241.0911 721.3456 c

1267

241.0911 727.396 L

1268

241.0911 728.1163 241.2032 729.2848 240.3868 729.5889 c

1269

240.3868 729.6369 L

1270

243.4281 729.6369 L

1271

243.4281 729.5889 L

1272

242.6277 729.2848 242.7238 728.1163 242.7238 727.38 c

1273

242.7238 725.3952 L

1274

248.5021 725.3952 L

1275

248.5021 727.38 L

1276

248.5021 728.1163 248.6142 729.2848 247.7978 729.5889 c

1277

247.7978 729.6369 L

1278

250.8551 729.6369 L

1279

250.8551 729.5889 L

1280

250.0387 729.2848 250.1348 728.1163 250.1348 727.396 c

1281

250.1348 721.3456 L

1282

250.1348 720.6253 250.0387 719.4568 250.8551 719.1527 c

1283

250.8551 719.1047 L

1284

247.7978 719.1047 L

1285

247.7978 719.1527 L

1286

248.6142 719.4568 248.5021 720.6253 248.5021 721.3456 c

1287

248.5021 724.2428 L

1288

242.7238 724.2428 l

1289

1290

254.4034 720.4492 m

1291

256.4362 720.2572 L

1292

257.4926 720.1611 258.5971 720.4972 259.3974 721.2015 c

1293

259.4454 721.2015 L

1294

258.7251 719.1047 L

1295

252.0504 719.1047 L

1296

252.0504 719.1527 L

1297

252.8668 719.4408 252.7707 720.6253 252.7707 721.3456 c

1298

252.7707 727.38 L

1299

252.7707 728.1163 252.8668 729.2848 252.0504 729.5889 c

1300

252.0504 729.6369 L

1301

257.1725 729.6369 L

1302

257.4446 729.6369 257.7167 729.6049 257.9248 729.717 c

1303

257.9728 729.717 L

1304

257.9728 727.8442 L

1305

257.9248 727.8442 L

1306

257.4286 728.4205 256.7723 728.4845 256.036 728.4845 c

1307

255.4758 728.4845 254.9156 728.4685 254.4034 728.3724 c

1308

254.4034 725.3952 L

1309

256.3081 725.3952 L

1310

256.5643 725.3952 256.8204 725.3952 257.0124 725.4913 c

1311

257.0605 725.4913 L

1312

257.0605 723.7946 L

1313

257.0124 723.7946 L

1314

256.7563 724.2588 256.0841 724.2428 255.5879 724.2428 c

1315

254.4034 724.2428 L

1316

254.4034 720.4492 l

1317

1318

274.0932 720.425 m

1319

273.2131 719.2647 271.5727 718.7846 270.1724 718.7846 c

1320

268.8521 718.7846 267.4518 719.2047 266.5516 720.1849 c

1321

265.4914 721.3452 265.5314 722.6855 265.5314 724.1258 c

1322

265.5314 729.4669 L

1323

265.5314 730.3671 265.6714 731.8274 264.6512 732.2075 c

1324

264.6512 732.2675 L

1325

268.452 732.2675 L

1326

268.452 732.2075 L

1327

267.4518 731.8274 267.5718 730.3671 267.5718 729.4669 c

1328

267.5718 724.1258 L

1329

267.5718 721.4652 268.6921 720.2249 270.7525 720.2249 c

1330

271.8728 720.2249 273.013 720.685 273.6732 721.6252 c

1331

274.1132 722.2254 274.0932 722.7255 274.0932 723.4456 c

1332

274.0932 729.4669 L

1333

274.0932 730.3671 274.2133 731.8274 273.2131 732.2075 c

1334

273.2131 732.2675 L

1335

277.0139 732.2675 L

1336

277.0339 732.2075 L

1337

276.0137 731.8274 276.1337 730.3671 276.1337 729.4469 c

1338

276.1337 721.9053 L

1339

276.1337 721.0051 276.0137 719.5448 277.0339 719.1647 c

1340

277.0339 719.1047 L

1341

274.0932 719.1047 L

1342

274.0932 720.425 l

1343

1344

280.2988 721.1855 m

1345

280.2988 720.2892 280.2828 719.6489 281.1311 719.1527 c

1346

281.1311 719.1047 L

1347

278.298 719.1047 L

1348

278.298 719.1527 L

1349

279.1463 719.6489 279.1463 720.2892 279.1463 721.1855 c

1350

279.1463 727.5721 L

1351

279.1463 728.4685 279.1463 729.1087 278.314 729.5889 c

1352

278.314 729.6369 L

1353

280.6509 729.6369 L

1354

280.6509 729.6209 L

1355

280.7149 729.4289 280.779 729.3488 280.891 729.2208 c

1356

281.1151 728.9006 L

1357

286.9735 721.5057 L

1358

286.9735 727.5721 L

1359

286.9735 728.4685 286.9895 729.1087 286.1411 729.5889 c

1360

286.1411 729.6369 L

1361

288.9583 729.6369 L

1362

288.9583 729.5889 L

1363

288.1259 729.1087 288.1259 728.4685 288.1259 727.5721 c

1364

288.1259 718.5925 L

1365

286.9895 718.9766 286.4933 719.5048 285.789 720.4172 c

1366

280.2988 727.38 L

1367

280.2988 721.1855 l

1368

1369

290.5858 727.38 m

1370

290.5858 728.1163 290.6979 729.2848 289.8815 729.5889 c

1371

289.8815 729.6369 L

1372

292.9228 729.6369 L

1373

292.9228 729.5889 L

1374

292.1224 729.2848 292.2185 728.1003 292.2185 727.38 c

1375

292.2185 721.3456 L

1376

292.2185 720.6253 292.1224 719.4568 292.9228 719.1527 c

1377

292.9228 719.1047 L

1378

289.8815 719.1047 L

1379

289.8815 719.1527 L

1380

290.6819 719.4408 290.5858 720.6253 290.5858 721.3456 C

1381

290.5858 727.38 l

1382

1383

300.6645 726.7398 m

1384

301.0966 727.8762 301.6408 729.1888 300.6484 729.5889 c

1385

300.6484 729.6369 L

1386

303.0334 729.6369 L

1387

298.8077 718.6245 L

1388

297.6873 719.3608 297.3191 719.4888 296.8549 720.7534 c

1389

294.4379 727.3 L

1390

294.1338 728.1163 293.8937 729.0447 293.1894 729.5889 c

1391

293.1894 729.6369 L

1392

295.5264 729.6369 L

1393

295.5104 729.4449 L

1394

295.5104 729.0927 295.8145 728.3084 295.9425 727.9563 c

1395

298.4876 720.9934 L

1396

300.6645 726.7398 l

1397

1398

306.0684 720.4492 m

1399

308.1012 720.2572 L

1400

309.1577 720.1611 310.2621 720.4972 311.0624 721.2015 c

1401

311.1105 721.2015 L

1402

310.3902 719.1047 L

1403

303.7155 719.1047 L

1404

303.7155 719.1527 L

1405

304.5318 719.4408 304.4358 720.6253 304.4358 721.3456 c

1406

304.4358 727.38 L

1407

304.4358 728.1163 304.5318 729.2848 303.7155 729.5889 c

1408

303.7155 729.6369 L

1409

308.8375 729.6369 L

1410

309.1096 729.6369 309.3818 729.6049 309.5898 729.717 c

1411

309.6379 729.717 L

1412

309.6379 727.8442 L

1413

309.5898 727.8442 L

1414

309.0936 728.4205 308.4374 728.4845 307.7011 728.4845 c

1415

307.1408 728.4845 306.5806 728.4685 306.0684 728.3724 c

1416

306.0684 725.3952 L

1417

307.9732 725.3952 L

1418

308.2293 725.3952 308.4854 725.3952 308.6775 725.4913 c

1419

308.7255 725.4913 L

1420

308.7255 723.7946 L

1421

308.6775 723.7946 L

1422

308.4214 724.2588 307.7491 724.2428 307.2529 724.2428 c

1423

306.0684 724.2428 L

1424

306.0684 720.4492 l

1425

1426

315.7934 729.6369 m

1427

317.9383 729.6369 319.1067 728.5165 319.1067 727.0599 c

1428

319.1067 725.6513 317.8742 724.5469 316.5617 724.2428 c

1429

318.8666 721.3456 L

1430

319.5389 720.5133 320.5473 719.6809 321.4597 719.1047 c

1431

319.9871 719.1047 L

1432

319.1387 719.1047 318.6105 719.3128 318.1303 719.905 c

1433

316.1775 722.322 L

1434

314.705 724.5789 L

1435

315.9855 724.771 317.4741 725.3632 317.4741 726.8678 c

1436

317.4741 728.0203 316.4817 728.6926 315.4092 728.6445 c

1437

315.0411 728.6285 314.6889 728.5805 314.3208 728.5165 c

1438

314.3208 721.3456 L

1439

314.3208 720.6093 314.2248 719.4408 315.0411 719.1527 c

1440

315.0411 719.1047 L

1441

311.9839 719.1047 L

1442

311.9839 719.1527 L

1443

312.8002 719.4408 312.6881 720.6253 312.6881 721.3456 c

1444

312.6881 727.38 L

1445

312.6881 728.1163 312.8002 729.2848 311.9839 729.5889 c

1446

311.9839 729.6369 L

1447

315.7934 729.6369 l

1448

1449

326.8471 727.7322 m

1450

326.2228 728.3724 325.2304 728.7406 324.3341 728.7406 c

1451

323.4217 728.7406 322.2692 728.3884 322.2692 727.284 c

1452

322.2692 725.0911 327.7755 725.1231 327.7755 722.1619 c

1453

327.7755 720.4492 325.9827 718.8486 323.4857 718.8486 c

1454

322.5093 718.8486 321.5329 718.9926 320.6206 719.3288 c

1455

320.1564 721.3296 L

1456

321.1008 720.5133 322.4133 720.001 323.6618 720.001 c

1457

324.5742 720.001 325.9507 720.5453 325.9507 721.6657 c

1458

325.9507 724.1627 320.4445 723.7145 320.4445 727.1079 c

1459

320.4445 729.1247 322.5093 729.893 324.4621 729.893 c

1460

325.2624 729.893 326.0788 729.781 326.8471 729.5409 C

1461

326.8471 727.7322 l

1462

1463

329.6092 727.38 m

1464

329.6092 728.1163 329.7213 729.2848 328.905 729.5889 c

1465

328.905 729.6369 L

1466

331.9462 729.6369 L

1467

331.9462 729.5889 L

1468

331.1459 729.2848 331.2419 728.1003 331.2419 727.38 c

1469

331.2419 721.3456 L

1470

331.2419 720.6253 331.1459 719.4568 331.9462 719.1527 c

1471

331.9462 719.1047 L

1472

328.905 719.1047 L

1473

328.905 719.1527 L

1474

329.7053 719.4408 329.6092 720.6253 329.6092 721.3456 C

1475

329.6092 727.38 l

1476

1477

336.8708 721.1855 m

1478

336.8708 720.2732 336.8547 719.6489 337.7031 719.1527 c

1479

337.7031 719.1047 L

1480

334.5338 719.1047 L

1481

334.5338 719.1527 L

1482

335.3341 719.4568 335.2381 720.6253 335.2381 721.3456 c

1483

335.2381 728.4845 L

1484

333.8295 728.4845 L

1485

333.1412 728.4845 332.421 728.3084 331.9248 727.8442 c

1486

331.8767 727.8442 L

1487

332.437 729.749 L

1488

332.485 729.749 L

1489

332.6771 729.669 332.8851 729.669 333.0932 729.6369 c

1490

333.4934 729.6369 L

1491

339.4638 729.6369 L

1492

339.7359 729.6369 339.992 729.6529 340.2001 729.749 c

1493

340.2481 729.749 L

1494

339.7359 727.8442 L

1495

339.6879 727.8442 L

1496

339.4798 728.4044 338.8395 728.4845 338.3113 728.4845 c

1497

336.8708 728.4845 L

1498

336.8708 721.1855 l

1499

1500

345.1265 721.1855 m

1501

345.1265 720.2251 345.1265 719.7449 345.9428 719.1527 c

1502

345.9428 719.1047 L

1503

342.8216 719.1047 L

1504

342.8216 719.1527 L

1505

343.6059 719.5529 343.4938 720.5933 343.4938 721.3456 c

1506

343.4938 723.7145 L

1507

340.8368 727.9883 L

1508

340.4046 728.6926 340.0845 729.2208 339.3161 729.6369 c

1509

340.7727 729.6369 L

1510

341.2849 729.6369 341.7651 729.5249 341.9732 729.1888 c

1511

344.5343 725.0111 L

1512

346.5191 727.9883 L

1513

346.7912 728.3884 347.1593 729.1567 346.263 729.5889 c

1514

346.263 729.6369 L

1515

349.0641 729.6369 L

1516

345.1265 723.7145 L

1517

345.1265 721.1855 l

1518

1519

365.0425 724.4829 m

1520

365.0425 721.2175 362.3374 718.8486 359.1521 718.8486 c

1521

355.9829 718.8486 353.3098 721.1215 353.3098 724.4028 c

1522

353.3098 727.4441 355.9508 729.9891 359.3122 729.9091 c

1523

362.6736 729.9251 365.0425 727.364 365.0425 724.4829 c

1524

1525

1 g

1526

359.2002 728.7566 m

1527

361.7292 728.7566 363.2178 726.4997 363.2178 724.1627 c

1528

363.2178 721.7778 361.6652 720.001 359.2322 720.001 c

1529

356.7192 720.001 355.1345 722.306 355.1345 724.5469 c

1530

355.1345 726.9639 356.7192 728.7566 359.2002 728.7566 c

1531

1532

0 g

1533

368.3314 721.3456 m

1534

368.3314 720.6253 368.2033 719.4568 369.0036 719.1527 c

1535

369.0036 719.1047 L

1536

365.9784 719.1047 L

1537

365.9784 719.1527 L

1538

366.7947 719.4408 366.6987 720.6253 366.6987 721.3456 c

1539

366.6987 727.38 L

1540

366.6987 728.1163 366.7947 729.2848 365.9784 729.5889 c

1541

365.9784 729.6369 L

1542

371.1005 729.6369 L

1543

371.3726 729.6369 371.6447 729.6049 371.8528 729.717 c

1544

371.9008 729.717 L

1545

371.9008 727.8602 L

1546

371.8528 727.8602 L

1547

371.3566 728.4205 370.7003 728.4845 369.964 728.4845 c

1548

369.4038 728.4845 368.8436 728.4685 368.3314 728.3724 c

1549

368.3314 725.3952 L

1550

370.2521 725.3952 L

1551

370.4922 725.3952 370.7483 725.3952 370.9404 725.4913 c

1552

370.9884 725.4913 L

1553

370.9884 723.7946 L

1554

370.9404 723.7946 L

1555

370.6843 724.2748 370.0121 724.2428 369.5158 724.2428 c

1556

368.3314 724.2428 L

1557

368.3314 721.3456 l

1558

1559

213.3082 708.0982 m

1560

225.5802 677.8043 L

1561

226.7732 673.7297 228.8982 670.9797 230.96 669.2847 c

1562

230.96 669.1047 L

1563

218.6605 669.1047 L

1564

218.6605 669.2847 L

1565

221.6003 670.6046 221.1204 671.2646 219.5004 675.4644 c

1566

216.2606 683.9241 L

1567

201.1412 683.9241 l

1568

198.0213 675.4644 L

1569

196.7613 672.1046 196.3414 670.3646 199.2212 669.2847 c

1570

199.2212 669.1047 L

1571

188.1817 669.1047 L

1572

188.1817 669.2847 L

1573

191.6616 671.0246 192.6815 674.3845 194.0015 677.8043 c

1574

204.0211 702.8233 L

1575

204.6491 704.4382 205.5119 706.858 205.9074 707.9764 C

1576

209.3357 717.8547 l

1577

213.3082 708.0982 L

1578

213.3082 708.0982 L

1579

1580

1 g

1581

214.5206 688.3639 m

1582

202.7011 688.3639 L

1583

208.6409 703.4833 l

1584

214.5206 688.3639 L

1585

1586

0 g

1587

246.0102 702.0067 m

1588

252.7106 702.0067 256.3608 698.5065 256.3608 693.9562 c

1589

256.3608 689.5559 252.5106 686.1057 248.4104 685.1557 c

1590

255.6108 676.1051 L

1591

257.7109 673.505 260.8611 670.9048 263.7113 669.1047 c

1592

259.111 669.1047 L

1593

256.4608 669.1047 254.8107 669.7547 253.3106 671.6048 c

1594

247.2103 679.1553 L

1595

242.61 686.2057 L

1596

246.6102 686.8058 251.2605 688.6559 251.2605 693.3562 c

1597

251.2605 696.9564 248.1603 699.0565 244.8101 698.9065 c

1598

243.6601 698.8565 242.56 698.7065 241.4099 698.5065 c

1599

241.4099 676.1051 L

1600

241.4099 673.805 241.1099 670.1548 243.6601 669.2547 c

1601

243.6601 669.1047 L

1602

234.1095 669.1047 L

1603

234.1095 669.2547 L

1604

236.6596 670.1548 236.3096 673.855 236.3096 676.1051 c

1605

236.3096 694.9563 L

1606

236.3096 697.2564 236.6596 700.9066 234.1095 701.8567 c

1607

234.1095 702.0067 L

1608

246.0102 702.0067 l

1609

1610

265.5988 694.9563 m

1611

265.5988 697.2564 265.9488 700.9066 263.3987 701.8567 c

1612

263.3987 702.0067 L

1613

272.8992 702.0067 L

1614

272.8992 701.8567 L

1615

270.3991 700.9066 270.6991 697.2064 270.6991 694.9563 c

1616

270.6991 676.1051 L

1617

270.6991 673.855 270.3991 670.2048 272.8992 669.2547 c

1618

272.8992 669.1047 L

1619

263.3987 669.1047 L

1620

263.3987 669.2547 L

1621

265.8988 670.1548 265.5988 673.855 265.5988 676.1051 C

1622

265.5988 694.9563 l

1623

1624

275.8864 669.1047 m

1625

293.9875 697.9064 L

1626

285.4869 698.4065 L

1627

282.3868 698.6065 280.5867 697.9564 277.9865 696.2563 c

1628

277.8365 696.2563 L

1629

280.3866 702.0067 L

1630

302.488 702.0067 L

1631

284.4869 673.3049 L

1632

294.9875 672.7049 L

1633

298.6378 672.5049 301.7879 673.605 304.8881 675.4551 c

1634

305.0381 675.4551 L

1635

302.238 669.1047 L

1636

275.8864 669.1047 l

1637

1638

342.1312 685.9057 m

1639

342.1312 675.7051 333.6806 668.3046 323.73 668.3046 c

1640

313.8294 668.3046 305.4789 675.4051 305.4789 685.6557 c

1641

305.4789 695.1563 313.7294 703.1068 324.2301 702.8567 c

1642

334.7307 702.9067 342.1312 694.9063 342.1312 685.9057 c

1643

1644

1 g

1645

323.88 699.2565 m

1646

331.7805 699.2565 336.4308 692.2061 336.4308 684.9057 c

1647

336.4308 677.4552 331.5805 671.9049 323.9801 671.9049 c

1648

316.1296 671.9049 311.1793 679.1053 311.1793 686.1057 c

1649

311.1793 693.6562 316.1296 699.2565 323.88 699.2565 c

1650

1651

0 g

1652

349.9185 675.6051 m

1653

349.9185 672.8049 349.8685 670.8048 352.5187 669.2547 c

1654

352.5187 669.1047 L

1655

343.6682 669.1047 L

1656

343.6682 669.2547 L

1657

346.3183 670.8048 346.3183 672.8049 346.3183 675.6051 c

1658

346.3183 695.5563 L

1659

346.3183 698.3565 346.3183 700.3566 343.7182 701.8567 c

1660

343.7182 702.0067 L

1661

351.0186 702.0067 L

1662

351.0186 701.9567 L

1663

351.2186 701.3567 351.4186 701.1066 351.7687 700.7066 c

1664

352.4687 699.7066 L

1665

370.7698 676.6051 L

1666

370.7698 695.5563 L

1667

370.7698 698.3565 370.8198 700.3566 368.1697 701.8567 c

1668

368.1697 702.0067 L

1669

376.9702 702.0067 L

1670

376.9702 701.8567 L

1671

374.37 700.3566 374.37 698.3565 374.37 695.5563 c

1672

374.37 667.5046 L

1673

370.8198 668.7047 369.2697 670.3548 367.0696 673.2049 c

1674

349.9185 694.9563 L

1675

349.9185 675.6051 l

1676

1677

389.9668 681.4554 m

1678

387.3666 674.405 L

1679

386.3166 671.6048 385.9665 670.1548 388.3667 669.2547 c

1680

388.3667 669.1047 L

1681

379.1661 669.1047 L

1682

379.1661 669.2547 L

1683

382.0663 670.7048 382.9163 673.505 384.0164 676.3551 c

1684

392.3669 697.2064 L

1685

393.067 699.0065 394.017 701.1066 391.6169 701.8567 c

1686

391.6169 702.0067 L

1687

399.5174 702.0067 L

1688

409.918 676.3551 L

1689

411.0681 673.505 411.9681 670.7048 414.8183 669.2547 c

1690

414.8183 669.1047 L

1691

404.5677 669.1047 L

1692

404.5677 669.2547 L

1693

407.0178 670.3548 406.6178 670.9048 405.2677 674.405 c

1694

402.5675 681.4554 L

1695

389.9668 681.4554 l

1696

1697

1 g

1698

401.1175 685.1557 m

1699

391.2669 685.1557 L

1700

396.2172 697.7564 l

1701

401.1175 685.1557 L

1702

1703

0 g

1704

237.3542 641.7052 m

1705

237.3542 640.565 237.3342 639.7848 238.3944 639.1647 c

1706

238.3944 639.1047 L

1707

234.4336 639.1047 L

1708

234.4336 639.1647 L

1709

235.4338 639.5448 235.3137 641.0051 235.3137 641.9053 c

1710

235.3137 650.8272 L

1711

233.5534 650.8272 L

1712

232.6932 650.8272 231.793 650.6071 231.1729 650.027 c

1713

231.1128 650.027 L

1714

231.813 652.4075 L

1715

231.873 652.4075 L

1716

232.1131 652.3075 232.3731 652.3075 232.6332 652.2675 c

1717

233.1333 652.2675 L

1718

240.5949 652.2675 L

1719

240.9349 652.2675 241.255 652.2875 241.5151 652.4075 c

1720

241.5751 652.4075 L

1721

240.9349 650.027 L

1722

240.8749 650.027 L

1723

240.6149 650.7272 239.8147 650.8272 239.1546 650.8272 c

1724

237.3542 650.8272 L

1725

237.3542 641.7052 l

1726

1727

248.9914 640.1611 m

1728

248.2872 639.2327 246.9746 638.8486 245.8542 638.8486 c

1729

244.7977 638.8486 243.6773 639.1847 242.957 639.969 c

1730

242.1087 640.8974 242.1407 641.9698 242.1407 643.1223 c

1731

242.1407 647.396 L

1732

242.1407 648.1163 242.2527 649.2848 241.4364 649.5889 c

1733

241.4364 649.6369 L

1734

244.4776 649.6369 L

1735

244.4776 649.5889 L

1736

243.6773 649.2848 243.7733 648.1163 243.7733 647.396 c

1737

243.7733 643.1223 L

1738

243.7733 640.9934 244.6697 640.001 246.3184 640.001 c

1739

247.2147 640.001 248.1271 640.3692 248.6553 641.1215 c

1740

249.0074 641.6017 248.9914 642.0019 248.9914 642.5781 c

1741

248.9914 647.396 L

1742

248.9914 648.1163 249.0875 649.2848 248.2872 649.5889 c

1743

248.2872 649.6369 L

1744

251.3284 649.6369 L

1745

251.3444 649.5889 L

1746

250.5281 649.2848 250.6241 648.1163 250.6241 647.38 c

1747

250.6241 641.3456 L

1748

250.6241 640.6253 250.5281 639.4568 251.3444 639.1527 c

1749

251.3444 639.1047 L

1750

248.9914 639.1047 L

1751

248.9914 640.1611 l

1752

1753

260.7827 647.6521 m

1754

259.9024 648.2124 258.8779 648.5645 257.8215 648.5645 c

1755

255.6126 648.5645 254.076 646.9479 254.076 644.6269 c

1756

254.076 642.274 255.6766 640.1771 258.1416 640.1771 c

1757

259.3421 640.1771 260.5426 640.6093 261.551 641.1855 c

1758

261.599 641.1855 L

1759

260.7827 639.3288 L

1760

260.0304 638.9766 259.1981 638.8486 258.3657 638.8486 c

1761

254.5882 638.8486 252.2513 640.9614 252.2513 644.3868 c

1762

252.2513 647.7002 254.5882 649.893 257.8695 649.893 c

1763

258.8459 649.893 259.8383 649.717 260.7827 649.4929 C

1764

260.7827 647.6521 l

1765

1766

268.3796 647.7322 m

1767

267.7553 648.3724 266.7629 648.7406 265.8665 648.7406 c

1768

264.9542 648.7406 263.8017 648.3884 263.8017 647.284 c

1769

263.8017 645.0911 269.3079 645.1231 269.3079 642.1619 c

1770

269.3079 640.4492 267.5152 638.8486 265.0182 638.8486 c

1771

264.0418 638.8486 263.0654 638.9926 262.153 639.3288 c

1772

261.6889 641.3296 L

1773

262.6332 640.5133 263.9458 640.001 265.1943 640.001 c

1774

266.1066 640.001 267.4832 640.5453 267.4832 641.6657 c

1775

267.4832 644.1627 261.977 643.7145 261.977 647.1079 c

1776

261.977 649.1247 264.0418 649.893 265.9946 649.893 c

1777

266.7949 649.893 267.6112 649.781 268.3796 649.5409 C

1778

268.3796 647.7322 l

1779

1780

281.9461 644.4829 m

1781

281.9461 641.2175 279.241 638.8486 276.0557 638.8486 c

1782

272.8864 638.8486 270.2133 641.1215 270.2133 644.4028 c

1783

270.2133 647.4441 272.8544 649.9891 276.2158 649.9091 c

1784

279.5771 649.9251 281.9461 647.364 281.9461 644.4829 c

1785

1786

1 g

1787

276.1037 648.7566 m

1788

278.6327 648.7566 280.1213 646.4997 280.1213 644.1627 c

1789

280.1213 641.7778 278.5687 640.001 276.1357 640.001 c

1790

273.6227 640.001 272.0381 642.306 272.0381 644.5469 c

1791

272.0381 646.9639 273.6227 648.7566 276.1037 648.7566 c

1792

1793

0 g

1794

284.8508 641.1855 m

1795

284.8508 640.2892 284.8348 639.6489 285.6831 639.1527 c

1796

285.6831 639.1047 L

1797

282.85 639.1047 L

1798

282.85 639.1527 L

1799

283.6983 639.6489 283.6983 640.2892 283.6983 641.1855 c

1800

283.6983 647.5721 L

1801

283.6983 648.4685 283.6983 649.1087 282.866 649.5889 c

1802

282.866 649.6369 L

1803

285.2029 649.6369 L

1804

285.2029 649.6209 L

1805

285.2669 649.4289 285.331 649.3488 285.443 649.2208 c

1806

285.6671 648.9006 L

1807

291.5255 641.5057 L

1808

291.5255 647.5721 L

1809

291.5255 648.4685 291.5415 649.1087 290.6931 649.5889 c

1810

290.6931 649.6369 L

1811

293.5103 649.6369 L

1812

293.5103 649.5889 L

1813

292.6779 649.1087 292.6779 648.4685 292.6779 647.5721 c

1814

292.6779 638.5925 L

1815

291.5415 638.9766 291.0453 639.5048 290.341 640.4172 c

1816

284.8508 647.38 L

1817

284.8508 641.1855 l

1818

1819

306.5596 652.2675 m

1820

310.7205 642.0053 L

1821

311.1806 640.8651 311.5407 639.7448 312.6809 639.1647 c

1822

312.6809 639.1047 L

1823

308.58 639.1047 L

1824

308.58 639.1647 L

1825

309.5603 639.6048 309.4002 639.8248 308.8601 641.2251 c

1826

307.7799 644.0457 L

1827

302.7388 644.0457 l

1828

301.6986 641.2251 L

1829

301.2785 640.1049 301.1385 639.5248 302.0987 639.1647 c

1830

302.0987 639.1047 L

1831

298.4179 639.1047 L

1832

298.4179 639.1647 L

1833

299.5781 639.7448 299.9182 640.8651 300.3583 642.0053 c

1834

303.699 650.3471 L

1835

305.4607 655.1672 l

1836

306.5596 652.2675 L

1837

1838

1 g

1839

307.1997 645.5261 m

1840

303.2589 645.5261 L

1841

305.2393 650.5671 l

1842

307.1997 645.5261 L

1843

1844

0 g

1845

317.1511 649.6369 m

1846

319.2959 649.6369 320.4644 648.5165 320.4644 647.0599 c

1847

320.4644 645.6513 319.2319 644.5469 317.9194 644.2428 c

1848

320.2243 641.3456 L

1849

320.8966 640.5133 321.905 639.6809 322.8173 639.1047 c

1850

321.3448 639.1047 L

1851

320.4964 639.1047 319.9682 639.3128 319.488 639.905 c

1852

317.5352 642.322 L

1853

316.0626 644.5789 L

1854

317.3431 644.771 318.8317 645.3632 318.8317 646.8678 c

1855

318.8317 648.0203 317.8393 648.6926 316.7669 648.6445 c

1856

316.3988 648.6285 316.0466 648.5805 315.6785 648.5165 c

1857

315.6785 641.3456 L

1858

315.6785 640.6093 315.5824 639.4408 316.3988 639.1527 c

1859

316.3988 639.1047 L

1860

313.3415 639.1047 L

1861

313.3415 639.1527 L

1862

314.1578 639.4408 314.0458 640.6253 314.0458 641.3456 c

1863

314.0458 647.38 L

1864

314.0458 648.1163 314.1578 649.2848 313.3415 649.5889 c

1865

313.3415 649.6369 L

1866

317.1511 649.6369 l

1867

1868

322.9703 647.38 m

1869

322.9703 648.1163 323.0824 649.2848 322.266 649.5889 c

1870

322.266 649.6369 L

1871

325.3073 649.6369 L

1872

325.3073 649.5889 L

1873

324.507 649.2848 324.603 648.1003 324.603 647.38 c

1874

324.603 641.3456 L

1875

324.603 640.6253 324.507 639.4568 325.3073 639.1527 c

1876

325.3073 639.1047 L

1877

322.266 639.1047 L

1878

322.266 639.1527 L

1879

323.0664 639.4408 322.9703 640.6253 322.9703 641.3456 C

1880

322.9703 647.38 l

1881

1882

325.9741 639.1047 m

1883

331.7685 648.3244 L

1884

329.0474 648.4845 L

1885

328.055 648.5485 327.4787 648.3404 326.6464 647.7962 c

1886

326.5984 647.7962 L

1887

327.4147 649.6369 L

1888

334.4896 649.6369 L

1889

328.7272 640.4492 L

1890

332.0886 640.2572 L

1891

333.2571 640.1931 334.2655 640.5453 335.2579 641.1375 c

1892

335.3059 641.1375 L

1893

334.4095 639.1047 L

1894

325.9741 639.1047 l

1895

1896

347.5286 644.4829 m

1897

347.5286 641.2175 344.8235 638.8486 341.6382 638.8486 c

1898

338.4689 638.8486 335.7959 641.1215 335.7959 644.4028 c

1899

335.7959 647.4441 338.4369 649.9891 341.7983 649.9091 c

1900

345.1596 649.9251 347.5286 647.364 347.5286 644.4829 c

1901

1902

1 g

1903

341.6862 648.7566 m

1904

344.2153 648.7566 345.7039 646.4997 345.7039 644.1627 c

1905

345.7039 641.7778 344.1512 640.001 341.7183 640.001 c

1906

339.2052 640.001 337.6206 642.306 337.6206 644.5469 c

1907

337.6206 646.9639 339.2052 648.7566 341.6862 648.7566 c

1908

1909

0 g

1910

350.4333 641.1855 m

1911

350.4333 640.2892 350.4173 639.6489 351.2656 639.1527 c

1912

351.2656 639.1047 L

1913

348.4325 639.1047 L

1914

348.4325 639.1527 L

1915

349.2808 639.6489 349.2808 640.2892 349.2808 641.1855 c

1916

349.2808 647.5721 L

1917

349.2808 648.4685 349.2808 649.1087 348.4485 649.5889 c

1918

348.4485 649.6369 L

1919

350.7854 649.6369 L

1920

350.7854 649.6209 L

1921

350.8495 649.4289 350.9135 649.3488 351.0255 649.2208 c

1922

351.2496 648.9006 L

1923

357.108 641.5057 L

1924

357.108 647.5721 L

1925

357.108 648.4685 357.124 649.1087 356.2757 649.5889 c

1926

356.2757 649.6369 L

1927

359.0928 649.6369 L

1928

359.0928 649.5889 L

1929

358.2605 649.1087 358.2605 648.4685 358.2605 647.5721 c

1930

358.2605 638.5925 L

1931

357.124 638.9766 356.6278 639.5048 355.9235 640.4172 c

1932

350.4333 647.38 L

1933

350.4333 641.1855 l

1934

1935

362.9612 643.0583 m

1936

362.1289 640.8014 L

1937

361.7928 639.905 361.6807 639.4408 362.449 639.1527 c

1938

362.449 639.1047 L

1939

359.5038 639.1047 L

1940

359.5038 639.1527 L

1941

360.4322 639.6169 360.7043 640.5133 361.0565 641.4256 c

1942

363.7295 648.1003 L

1943

363.9536 648.6766 364.2578 649.3488 363.4895 649.5889 c

1944

363.4895 649.6369 L

1945

366.0185 649.6369 L

1946

369.3478 641.4256 L

1947

369.716 640.5133 370.0041 639.6169 370.9165 639.1527 c

1948

370.9165 639.1047 L

1949

367.6351 639.1047 L

1950

367.6351 639.1527 L

1951

368.4194 639.5048 368.2914 639.6809 367.8592 640.8014 c

1952

366.9949 643.0583 L

1953

362.9612 643.0583 l

1954

1955

1 g

1956

366.5307 644.2428 m

1957

363.3774 644.2428 L

1958

364.962 648.2764 l

1959

366.5307 644.2428 L

1960

1961

1962

%%%PageTrailer

1963

gsave annotatepage grestore

1964

%% showpage

1965

%%%Trailer

1966

Adobe_IllustratorA_AI3 /terminate get exec

1967

Adobe_customcolor /terminate get exec

1968

Adobe_cshow /terminate get exec

1969

Adobe_cmykcolor /terminate get exec

1970

Adobe_packedarray /terminate get exec

1971

%%%EOF

1972

1973

3 f

1974

14 s

1975

1657 1536(Fast)N

1976

1891(Text)X

1977

2137(Searching)X

1978

2644(W)X

1979

(ith)S

1980

2915(Errors)X

1981

1 f

1982

12 s

1983

1965 1920(Sun)N

1984

2138(Wu)X

1985

2301(and)X

1986

2464(Udi)X

1987

2632(Manber)X

1988

2262 2208(TR)N

1989

2409(91-11)X

1990

1991

1 p

1992

%%Page: 1 2

1993

12 s 12 xH 0 xS 1 f

1994

10 s

1995

3 f

1996

12 s

1997

1521 816(FAST)N

1998

1790(TEXT)X

1999

2075(SEARCHING)X

2000

2679(WITH)X

2001

2975(ERRORS)X

2002

1 f

2003

10 s

2004

2021 1312(Sun)N

2005

2165(Wu)X

2006

2301(and)X

2007

2437(Udi)X

2008

2577(Manber)X

2009

7 s

2010

2827 1280(1)N

2011

10 s

2012

1910 1552(Department)N

2013

2309(of)X

2014

2396(Computer)X

2015

2736(Science)X

2016

2096 1672(University)N

2017

2454(of)X

2018

2541(Arizona)X

2019

2146 1792(Tucson,)N

2020

2422(AZ)X

2021

2549(85721)X

2022

2284 2152(June)N

2023

2451(1991)X

2024

4 f

2025

2244 2632(ABSTRACT)N

2026

1 f

2027

864 2905(Searching)N

2028

1215(for)X

2029

1339(a)X

2030

1405(pattern)X

2031

1658(in)X

2032

1750(a)X

2033

1816(text)X

2034

1966(\256le)X

2035

2098(is)X

2036

2181(a)X

2037

2248(very)X

2038

2422(common)X

2039

2733(operation)X

2040

3067(in)X

2041

3160(many)X

2042

3369(applications)X

2043

3787(ranging)X

2044

864 3025(from)N

2045

1047(text)X

2046

1194(editors)X

2047

1439(and)X

2048

1582(databases)X

2049

1917(to)X

2050

2006(applications)X

2051

2420(in)X

2052

2509(molecular)X

2053

2856(biology.)X

2054

3166(In)X

2055

3259(many)X

2056

3463(instances)X

2057

3783(the)X

2058

3907(pat-)X

2059

864 3145(tern)N

2060

1011(does)X

2061

1180(not)X

2062

1304(appear)X

2063

1541(in)X

2064

1625(the)X

2065

1745(text)X

2066

1887(exactly.)X

2067

2181(Errors)X

2068

2404(in)X

2069

2488(the)X

2070

2608(text)X

2071

2750(or)X

2072

2839(in)X

2073

2923(the)X

2074

3043(query)X

2075

3248(can)X

2076

3382(result)X

2077

3582(from)X

2078

3761(misspel-)X

2079

864 3265(ling)N

2080

1025(or)X

2081

1129(from)X

2082

1322(experimental)X

2083

1778(errors)X

2084

2003(\(e.g.,)X

2085

2203(when)X

2086

2414(the)X

2087

2549(text)X

2088

2706(is)X

2089

2796(a)X

2090

2869(DNA)X

2091

3080(sequence\).)X

2092

3478(The)X

2093

3639(use)X

2094

3782(of)X

2095

3885(such)X

2096

864 3385(approximate)N

2097

1290(pattern)X

2098

1538(matching)X

2099

1861(has)X

2100

1993(been)X

2101

2171(limited)X

2102

2423(until)X

2103

2595(now)X

2104

2759(to)X

2105

2847(speci\256c)X

2106

3118(applications.)X

2107

3571(Most)X

2108

3761(text)X

2109

3907(edi-)X

2110

864 3505(tors)N

2111

1021(and)X

2112

1174(searching)X

2113

1519(programs)X

2114

1859(do)X

2115

1976(not)X

2116

2115(support)X

2117

2392(searching)X

2118

2737(with)X

2119

2916(errors)X

2120

3141(because)X

2121

3433(of)X

2122

3537(the)X

2123

3672(complexity)X

2124

864 3625(involved)N

2125

1180(in)X

2126

1278(implementing)X

2127

1758(it.)X

2128

1879(In)X

2129

1983(this)X

2130

2135(paper)X

2131

2351(we)X

2132

2482(present)X

2133

2751(a)X

2134

2824(new)X

2135

2995(algorithm)X

2136

3343(for)X

2137

3474(approximate)X

2138

3912(text)X

2139

864 3745(searching)N

2140

1193(which)X

2141

1410(is)X

2142

1484(very)X

2143

1648(fast)X

2144

1785(and)X

2145

1922(very)X

2146

2086(\257exible.)X

2147

2387(We)X

2148

2520(believe)X

2149

2772(that)X

2150

2912(the)X

2151

3030(new)X

2152

3184(algorithm)X

2153

3515(will)X

2154

3659(\256nd)X

2155

3803(its)X

2156

3898(way)X

2157

864 3865(to)N

2158

957(many)X

2159

1166(searching)X

2160

1506(applications)X

2161

1925(and)X

2162

2073(will)X

2163

2229(enable)X

2164

2471(searching)X

2165

2811(with)X

2166

2985(errors)X

2167

3205(to)X

2168

3299(be)X

2169

3407(just)X

2170

3554(as)X

2171

3653(common)X

2172

3965(as)X

2173

864 3985(searching)N

2174

1192(exactly.)X

2175

6 f

2176

14 s

2177

864 4257(1.)N

2178

1019(Introduction)X

2179

1 f

2180

10 s

2181

864 4410(The)N

2182

1033(string-matching)X

2183

1584(problem)X

2184

1895(is)X

2185

1992(a)X

2186

2072(very)X

2187

2259(common)X

2188

2583(problem.)X

2189

2935(We)X

2190

3092(are)X

2191

3236(searching)X

2192

3589(for)X

2193

3728(a)X

2194

3809(pattern)X

2195

2 f

2196

864 4530(P)N

2197

9 f

2198

932(=)X

2199

2 f

2200

989(p)X

2201

1 f

2202

7 s

2203

1038 4546(1)N

2204

2 f

2205

10 s

2206

1072 4530(p)N

2207

1 f

2208

7 s

2209

1121 4546(2)N

2210

2 f

2211

10 s

2212

1155 4530(...p)N

2213

7 s

2214

4546(m)Y

2215

1 f

2216

10 s

2217

1334 4530(inside)N

2218

1558(a)X

2219

1627(large)X

2220

1821(text)X

2221

1974(\256le)X

2222

2 f

2223

2109(T)X

2224

9 f

2225

2172(=)X

2226

2 f

2227

2229(t)X

2228

1 f

2229

7 s

2230

2260 4546(1)N

2231

2 f

2232

10 s

2233

2294 4530(t)N

2234

1 f

2235

7 s

2236

2325 4546(2)N

2237

10 s

2238

2379 4506(.)N

2239

2419(.)X

2240

2459(.)X

2241

2 f

2242

2499 4530(t)N

2243

7 s

2244

2521 4546(n)N

2245

1 f

2246

10 s

2247

2555 4530(.)N

2248

2628(The)X

2249

2786(pattern)X

2250

3042(and)X

2251

3191(the)X

2252

3322(text)X

2253

3475(are)X

2254

3607(sequences)X

2255

3965(of)X

2256

2 f

2257

864 4650(characters)N

2258

1 f

2259

1233(from)X

2260

1415(a)X

2261

1477(\256nite)X

2262

1667(character)X

2263

1989(set)X

2264

2 f

2265

9 f

2266

2104(S)X

2267

1 f

2268

2151(.)X

2269

2217(The)X

2270

2368(characters)X

2271

2721(may)X

2272

2885(be)X

2273

2987(English)X

2274

3257(characters)X

2275

3611(in)X

2276

3700(a)X

2277

3763(text)X

2278

3910(\256le,)X

2279

864 4770(DNA)N

2280

1067(base)X

2281

1239(pairs,)X

2282

1444(lines)X

2283

1624(of)X

2284

1720(source)X

2285

1959(code,)X

2286

2160(angles)X

2287

2394(between)X

2288

2691(edges)X

2289

2903(in)X

2290

2993(polygons,)X

2291

3334(machines)X

2292

3665(or)X

2293

3760(machine)X

2294

864 4890(parts)N

2295

1041(in)X

2296

1124(a)X

2297

1181(production)X

2298

1549(schedule,)X

2299

1871(music)X

2300

2083(notes)X

2301

2273(and)X

2302

2410(tempo)X

2303

2631(in)X

2304

2714(a)X

2305

2771(musical)X

2306

3042(score,)X

2307

3254(etc.)X

2308

3410(We)X

2309

3544(want)X

2310

3722(to)X

2311

3806(\256nd)X

2312

3952(all)X

2313

864 5010 0.3125(occurrences)AN

2314

1313(of)X

2315

2 f

2316

1444(P)X

2317

1 f

2318

1557(in)X

2319

2 f

2320

1683(T)X

2321

1 f

2322

1727(;)X

2323

1832(namely,)X

2324

2151(we)X

2325

2308(are)X

2326

2470(searching)X

2327

2841(for)X

2328

2998(the)X

2329

3159(set)X

2330

3311(of)X

2331

3441(starting)X

2332

3744(positions)X

2333

2 f

2334

864 5130(F)N

2335

1 f

2336

2 f

2337

9 f

2338

939(=)X

2339

1 f

2340

1003({)X

2341

2 f

2342

1054(i)X

2343

1 f

2344

9 f

2345

1108(|)X

2346

1 f

2347

1150(1)X

2348

2 f

2349

9 f

2350

1203(\243)X

2351

2 f

2352

1260(i)X

2353

9 f

2354

1301(\243)X

2355

2 f

2356

1358(n)X

2357

9 f

2358

1411(-)X

2359

2 f

2360

1455(m)X

2361

9 f

2362

1526(+)X

2363

1 f

2364

1570(1)X

2365

1630(such)X

2366

1797(that)X

2367

2 f

2368

1937(t)X

2369

7 s

2370

1959 5146(i)N

2371

10 s

2372

1981 5130(t)N

2373

7 s

2374

2003 5146(i)N

2375

9 f

2376

2028(+)X

2377

1 f

2378

2059(1)X

2379

10 s

2380

2113 5106(.)N

2381

2153(.)X

2382

2193(.)X

2383

2 f

2384

2233 5130(t)N

2385

7 s

2386

2255 5146(i)N

2387

9 f

2388

2280(+)X

2389

2 f

2390

2311(m)X

2391

9 f

2392

2360(-)X

2393

1 f

2394

2391(1)X

2395

10 s

2396

2 f

2397

9 f

2398

2445 5130(=)N

2399

1 f

2400

2 f

2401

2509(P)X

2402

1 f

2403

2558(}.)X

2404

2665(The)X

2405

2820(two)X

2406

2970(most)X

2407

3155(famous)X

2408

3421(algorithms)X

2409

3793(for)X

2410

3917(this)X

2411

864 5250(problem)N

2412

1155(are)X

2413

1277(the)X

2414

1398(Knuth)X

2415

1621(Morris)X

2416

1862(Pratt)X

2417

2036(algorithm)X

2418

2370([KMP77])X

2419

2700(and)X

2420

2839(the)X

2421

2960(Boyer-Moore)X

2422

3420(algorithm)X

2423

3754([BM77].)X

2424

864 5370(There)N

2425

1074(are)X

2426

1195(many)X

2427

1395(extensions)X

2428

1755(to)X

2429

1839(this)X

2430

1976(problem;)X

2431

2307(for)X

2432

2423(example,)X

2433

2737(we)X

2434

2853(may)X

2435

3014(be)X

2436

3113(looking)X

2437

3380(for)X

2438

3497(a)X

2439

3556(set)X

2440

3668(of)X

2441

3758(patterns,)X

2442

8 s

2443

10 f

2444

864 5466(hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh)N

2445

5 s

2446

1 f

2447

864 5568(1)N

2448

8 s

2449

906 5593(Supported)N

2450

1191(in)X

2451

1263(part)X

2452

1384(by)X

2453

1470(an)X

2454

1552(NSF)X

2455

1692(Presidential)X

2456

2016(Young)X

2457

2212(Investigator)X

2458

2539(Award)X

2459

2734(\(grant)X

2460

2908(DCR-8451397\),)X

2461

3345(with)X

2462

3482(matching)X

2463

3743(funds)X

2464

3908(from)X

2465

864 5689(AT&T,)N

2466

1070(and)X

2467

1178(by)X

2468

1258(an)X

2469

1334(NSF)X

2470

1468(grant)X

2471

1615(CCR-9002351.)X

2472

2473

2 p

2474

%%Page: 2 3

2475

8 s 8 xH 0 xS 1 f

2476

10 s

2477

3 f

2478

2428 696(2)N

2479

1 f

2480

864 984(a)N

2481

934(regular)X

2482

1197(expression,)X

2483

1595(a)X

2484

1666(pattern)X

2485

1924(with)X

2486

2101(``wild)X

2487

2332(cards,'')X

2488

2611(etc.)X

2489

2780(String-matching)X

2490

3335(tools)X

2491

3525(are)X

2492

3659(included)X

2493

3970(in)X

2494

864 1104(every)N

2495

1063(reasonable)X

2496

1427(text)X

2497

1567(editor)X

2498

1774(and)X

2499

1910(they)X

2500

2068(serve)X

2501

2258(many)X

2502

2456(different)X

2503

2753(applications.)X

2504

1064 1257(In)N

2505

1174(some)X

2506

1386(instances,)X

2507

1744(however,)X

2508

2085(the)X

2509

2227(pattern)X

2510

2494(and/or)X

2511

2743(the)X

2512

2885(text)X

2513

3049(are)X

2514

3192(not)X

2515

3338(exact.)X

2516

3592(We)X

2517

3748(may)X

2518

3930(not)X

2519

864 1377(remember)N

2520

1214(the)X

2521

1336(exact)X

2522

1530(spelling)X

2523

1807(of)X

2524

1897(a)X

2525

1956(name)X

2526

2153(we)X

2527

2270(are)X

2528

2392(searching,)X

2529

2743(the)X

2530

2864(name)X

2531

3061(may)X

2532

3222(be)X

2533

3321(misspelled)X

2534

3686(in)X

2535

3771(the)X

2536

3892(text,)X

2537

864 1497(the)N

2538

985(text)X

2539

1128(may)X

2540

1290(correspond)X

2541

1671(to)X

2542

1757(a)X

2543

1817(sequence)X

2544

2136(of)X

2545

2227(numbers)X

2546

2527(with)X

2547

2693(a)X

2548

2753(certain)X

2549

2996(property)X

2550

3292(and)X

2551

3432(we)X

2552

3550(do)X

2553

3654(not)X

2554

3780(have)X

2555

3956(an)X

2556

864 1617(exact)N

2557

1058(pattern,)X

2558

1325(the)X

2559

1447(text)X

2560

1591(may)X

2561

1753(be)X

2562

1853(a)X

2563

1913(sequence)X

2564

2232(of)X

2565

2323(DNA)X

2566

2521(molecules)X

2567

2869(and)X

2568

3008(we)X

2569

3125(are)X

2570

3247(looking)X

2571

3514(for)X

2572

3631(approximate)X

2573

864 1737(patterns,)N

2574

1159(etc.)X

2575

1314(The)X

2576

1460(approximate)X

2577

1883(string-matching)X

2578

2412(problem)X

2579

2701(is)X

2580

2776(to)X

2581

2860(\256nd)X

2582

3006(all)X

2583

3108(substrings)X

2584

3454(in)X

2585

2 f

2586

3538(T)X

2587

1 f

2588

3604(that)X

2589

3746(are)X

2590

2 f

2591

3867(close)X

2592

1 f

2593

864 1857(to)N

2594

2 f

2595

951(P)X

2596

1 f

2597

1025(under)X

2598

1233(some)X

2599

1427(measure)X

2600

1720(of)X

2601

1812(closeness.)X

2602

2180(The)X

2603

2330(most)X

2604

2510(common)X

2605

2814(measure)X

2606

3106(of)X

2607

3197(closeness)X

2608

3524(is)X

2609

3601(known)X

2610

3843(as)X

2611

3934(the)X

2612

864 1977(edit)N

2613

1012(distance)X

2614

1303(\(also)X

2615

1487(the)X

2616

1613(Levenshtein)X

2617

2033(measure)X

2618

2329([Le66]\).)X

2619

2643(A)X

2620

2729(string)X

2621

2 f

2622

2939(P)X

2623

1 f

2624

3016(is)X

2625

3098(said)X

2626

3256(to)X

2627

3347(be)X

2628

3452(of)X

2629

3548(distance)X

2630

2 f

2631

3840(k)X

2632

1 f

2633

3905(to)X

2634

3996(a)X

2635

864 2097(string)N

2636

2 f

2637

1067(Q)X

2638

1 f

2639

1146(if)X

2640

1216(we)X

2641

1331(can)X

2642

1464(transform)X

2643

2 f

2644

1797(P)X

2645

1 f

2646

1867(to)X

2647

1950(be)X

2648

2046(equal)X

2649

2240(to)X

2650

2 f

2651

2322(Q)X

2652

1 f

2653

2400(with)X

2654

2562(a)X

2655

2618(sequence)X

2656

2933(of)X

2657

2 f

2658

3020(k)X

2659

1 f

2660

3076(insertions)X

2661

3407(of)X

2662

3494(single)X

2663

3705(characters)X

2664

864 2217(in)N

2665

955(\(arbitrary)X

2666

1289(places)X

2667

1520(in\))X

2668

2 f

2669

1639(P)X

2670

1 f

2671

1688(,)X

2672

1738(deletions)X

2673

2057(of)X

2674

2154(single)X

2675

2375(characters)X

2676

2732(in)X

2677

2 f

2678

2824(P)X

2679

1 f

2680

2873(,)X

2681

2923(or)X

2682

3020(substitutions)X

2683

3453(of)X

2684

3550(characters.)X

2685

3947(IN)X

2686

864 2337(some)N

2687

1070(cases)X

2688

1277(we)X

2689

1408(may)X

2690

1583(want)X

2691

1776(to)X

2692

1875(de\256ne)X

2693

2108(closeness)X

2694

2448(differently.)X

2695

2864(For)X

2696

3012(example,)X

2697

3340(a)X

2698

3412(policeman)X

2699

3782(may)X

2700

3956(be)X

2701

864 2457(searching)N

2702

1202(for)X

2703

1326(a)X

2704

1392(license)X

2705

1645(plate)X

2706

1831(ABC123)X

2707

2145(with)X

2708

2317(the)X

2709

2445(knowledge)X

2710

2827(that)X

2711

2977(the)X

2712

3106(letters)X

2713

3333(are)X

2714

3463(correct,)X

2715

3738(but)X

2716

3871(there)X

2717

864 2577(may)N

2718

1029(be)X

2719

1132(an)X

2720

1235(error)X

2721

1419(with)X

2722

1588(the)X

2723

1713(numbers.)X

2724

2056(In)X

2725

2150(this)X

2726

2292(case,)X

2727

2478(a)X

2728

2540(string)X

2729

2748(is)X

2730

2827(of)X

2731

2920(distance)X

2732

3209(1)X

2733

3275(to)X

2734

3363(ABC123)X

2735

3673(if)X

2736

3748(only)X

2737

3916(one)X

2738

864 2697(error)N

2739

1044(occurs)X

2740

1277(and)X

2741

1416(it)X

2742

1483(is)X

2743

1560(within)X

2744

1788(the)X

2745

1910(digits)X

2746

2111(area.)X

2747

2310(Maybe)X

2748

2557(there)X

2749

2742(are)X

2750

2865(always)X

2751

3112(3)X

2752

3176(digits)X

2753

3377(in)X

2754

3463(a)X

2755

3523(license)X

2756

3770(plate,)X

2757

3970(in)X

2758

864 2817(which)N

2759

1085(case)X

2760

1249(only)X

2761

1416(substitutions)X

2762

1843(are)X

2763

1966(allowed.)X

2764

2284(Sometimes)X

2765

2663(one)X

2766

2803(wants)X

2767

3014(to)X

2768

3100(vary)X

2769

3267(the)X

2770

3389(cost)X

2771

3542(of)X

2772

3633(the)X

2773

3755(different)X

2774

864 2937(edit)N

2775

1004(operations,)X

2776

1378(say)X

2777

1505(deletions)X

2778

1814(cost)X

2779

1963(3,)X

2780

2043(insertions)X

2781

2374(2,)X

2782

2454(and)X

2783

2590(substitutions)X

2784

3013(1.)X

2785

1064 3090(Many)N

2786

1294(different)X

2787

1615(approximate)X

2788

2060(string-matching)X

2789

2611(algorithms)X

2790

2997(have)X

2791

3193(been)X

2792

3389(suggested)X

2793

3749(\([CL90],)X

2794

864 3210([GG88],)N

2795

1156([GP90],)X

2796

1434([HD80],)X

2797

1726([LV88],)X

2798

2009([LV89],)X

2799

2292([My86],)X

2800

2579([TU90],)X

2801

2861(and)X

2802

2998([Uk85a])X

2803

3287(is)X

2804

3361(a)X

2805

3418(partial)X

2806

3644(list\).)X

2807

3829(In)X

2808

3917(this)X

2809

864 3330(paper)N

2810

1066(we)X

2811

1183(present)X

2812

1438(a)X

2813

1497(new)X

2814

1654(algorithm)X

2815

1988(which)X

2816

2207(is)X

2817

2283(very)X

2818

2450(fast)X

2819

2590(in)X

2820

2676(practice,)X

2821

2975(reasonably)X

2822

3347(simple)X

2823

3584(to)X

2824

3670(implement,)X

2825

864 3450(and)N

2826

1004(supports)X

2827

1299(a)X

2828

1359(large)X

2829

1544(number)X

2830

1813(of)X

2831

1904(variations)X

2832

2244(of)X

2833

2334(the)X

2834

2455(approximate)X

2835

2879(string-matching)X

2836

3409(problem.)X

2837

3719(The)X

2838

3867(algo-)X

2839

864 3570(rithm)N

2840

1070(is)X

2841

1156(based)X

2842

1372(on)X

2843

1485(a)X

2844

1554(numeric)X

2845

1850(scheme)X

2846

2124(for)X

2847

2251(exact)X

2848

2454(string)X

2849

2669(matching)X

2850

3000(developed)X

2851

3363(by)X

2852

3476(Baeza-Yates)X

2853

3916(and)X

2854

864 3690(Gonnet)N

2855

1125([BG89])X

2856

1395(\(See)X

2857

1563(also)X

2858

1716([BG91]\).)X

2859

2052(The)X

2860

2201(algorithm)X

2861

2536(can)X

2862

2672(handle)X

2863

2910(several)X

2864

3162(variations)X

2865

3502(of)X

2866

3593(measures)X

2867

3916(and)X

2868

864 3810(most)N

2869

1040(of)X

2870

1128(the)X

2871

1247(common)X

2872

1548(types)X

2873

1738(of)X

2874

1826(queries,)X

2875

2099(including)X

2876

2422(arbitrary)X

2877

2720(regular)X

2878

2969(expressions.)X

2879

3404(In)X

2880

3492(our)X

2881

3620(experiments,)X

2882

864 3930(the)N

2883

988(algorithm)X

2884

1325(was)X

2885

1476(at)X

2886

1560(least)X

2887

1733(twice)X

2888

1933(as)X

2889

2026(fast)X

2890

2168(as)X

2891

2261(other)X

2892

2452(algorithms)X

2893

2820(we)X

2894

2940(tested)X

2895

3153(\(which)X

2896

3402(are)X

2897

3526(not)X

2898

3653(as)X

2899

3745(\257exible\),)X

2900

864 4050(and)N

2901

1003(for)X

2902

1120(many)X

2903

1321(cases)X

2904

1514(an)X

2905

1614(order)X

2906

1808(of)X

2907

1899(magnitude)X

2908

2261(faster.)X

2909

2504(For)X

2910

2639(example,)X

2911

2955(\256nding)X

2912

3205(all)X

2913

3309 0.3125(occurrences)AX

2914

3718(of)X

2915

2 f

2916

3809(Homo-)X

2917

864 4170(genos)N

2918

1 f

2919

1073(allowing)X

2920

1375(two)X

2921

1517(errors)X

2922

1727(in)X

2923

1811(a)X

2924

1869(one)X

2925

2007(megabyte)X

2926

2341(bibliographic)X

2927

2790(text)X

2928

2932(takes)X

2929

3119(about)X

2930

3318(0.4)X

2931

3439(seconds)X

2932

3714(on)X

2933

3815(a)X

2934

3872(SUN)X

2935

864 4290(SparcStation)N

2936

1301(II,)X

2937

1403(which)X

2938

1627(is)X

2939

1708(about)X

2940

1914(twice)X

2941

2117(as)X

2942

2213(fast)X

2943

2358(as)X

2944

2454(running)X

2945

2732(the)X

2946

2859(program)X

2947

2 f

2948

3160(egrep)X

2949

1 f

2950

3372(\(which)X

2951

3624(will)X

2952

3777(not)X

2953

3908(\256nd)X

2954

864 4410(anything)N

2955

1172(because)X

2956

1455(of)X

2957

1550(the)X

2958

1676(misspelling\).)X

2959

2119(We)X

2960

2259(actually)X

2961

2540(used)X

2962

2714(this)X

2963

2856(example)X

2964

3155(and)X

2965

3298(found)X

2966

3512(a)X

2967

3575(misspelling)X

2968

3970(in)X

2969

864 4530(our)N

2970

991(text.)X

2971

1064 4683(The)N

2972

1224(paper)X

2973

1438(is)X

2974

1526(organized)X

2975

1878(as)X

2976

1980(follows.)X

2977

2295(We)X

2978

2442(\256rst)X

2979

2601(describe)X

2980

2904(the)X

2981

3037(algorithm)X

2982

3383(for)X

2983

3512(the)X

2984

3645(pure)X

2985

3823(string-)X

2986

864 4803(matching)N

2987

1189(problem)X

2988

1483(\(i.e.,)X

2989

1655(the)X

2990

1780(pattern)X

2991

2030(is)X

2992

2110(a)X

2993

2173(simple)X

2994

2413(string\).)X

2995

2689(In)X

2996

2782(Section)X

2997

3048(3,)X

2998

3134(we)X

2999

3254(present)X

3000

3512(many)X

3001

3716(variations)X

3002

864 4923(and)N

3003

1012(extensions)X

3004

1382(of)X

3005

1481(the)X

3006

1611(basic)X

3007

1808(algorithm,)X

3008

2171(culminating)X

3009

2585(with)X

3010

2759(matching)X

3011

3089(arbitrary)X

3012

3398(regular)X

3013

3658(expressions)X

3014

864 5043(with)N

3015

1034(errors.)X

3016

1290(Experimental)X

3017

1750(results)X

3018

1987(are)X

3019

2114(given)X

3020

2319(in)X

3021

2408(Section)X

3022

2675(4.)X

3023

2782(In)X

3024

2876(Section)X

3025

3143(5)X

3026

3210(we)X

3027

3331(describe)X

3028

3626(a)X

3029

3689(tool)X

3030

3840(called)X

3031

2 f

3032

864 5163(agrep)N

3033

1 f

3034

1092(for)X

3035

1227(approximate)X

3036

1669(string)X

3037

1893(matching)X

3038

2233(based)X

3039

2458(on)X

3040

2580(the)X

3041

2720(algorithm.)X

3042

3113(Agrep)X

3043

3356(is)X

3044

3451(available)X

3045

3783(through)X

3046

864 5283(anonymous)N

3047

1253(ftp)X

3048

1362(from)X

3049

1538(cs.arizona.edu.)X

3050

3051

3 p

3052

%%Page: 3 4

3053

10 s 10 xH 0 xS 1 f

3054

3 f

3055

2428 696(3)N

3056

6 f

3057

14 s

3058

864 984(2.)N

3059

1019(The)X

3060

1248(Algorithm)X

3061

1 f

3062

10 s

3063

864 1137(We)N

3064

1003(\256rst)X

3065

1154(describe)X

3066

1449(the)X

3067

1574(case)X

3068

1740(of)X

3069

1834(exact)X

3070

2031(string)X

3071

2240(matching.)X

3072

2585(The)X

3073

2737(algorithm)X

3074

3075(for)X

3075

3196(this)X

3076

3338(case)X

3077

3505(is)X

3078

3586(identical)X

3079

3890(with)X

3080

864 1257(that)N

3081

1013(of)X

3082

1109(Baeza-Yates)X

3083

1545(and)X

3084

1690(Gonnet)X

3085

1955([BG89].)X

3086

2269(We)X

3087

2410(then)X

3088

2576(show)X

3089

2773(how)X

3090

2939(to)X

3091

3029(extend)X

3092

3271(the)X

3093

3397(algorithm)X

3094

3736(to)X

3095

3826(search)X

3096

864 1377(with)N

3097

1034(errors.)X

3098

1290(We)X

3099

1430(then)X

3100

1596(describe)X

3101

1892(how)X

3102

2058(to)X

3103

2148(speed)X

3104

2359(up)X

3105

2467(the)X

3106

2593(search)X

3107

2827(with)X

3108

2997(errors)X

3109

3213(by)X

3110

3321(using)X

3111

3522(an)X

3112

3627(exact)X

3113

3826(search)X

3114

864 1497(most)N

3115

1039(of)X

3116

1126(the)X

3117

1244(time.)X

3118

6 f

3119

12 s

3120

864 1737(2.1.)N

3121

1078(Exact)X

3122

1360(Matching)X

3123

1 f

3124

10 s

3125

864 1890(Let)N

3126

2 f

3127

996(R)X

3128

1 f

3129

1070(be)X

3130

1171(a)X

3131

1232(bit)X

3132

1341(array)X

3133

1532(of)X

3134

1624(size)X

3135

2 f

3136

1774(m)X

3137

1 f

3138

1857(\(the)X

3139

2007(size)X

3140

2157(of)X

3141

2249(the)X

3142

2372(pattern\).)X

3143

2667(We)X

3144

2804(denote)X

3145

3043(by)X

3146

2 f

3147

3149(R)X

3148

7 s

3149

3202 1906(j)N

3150

1 f

3151

10 s

3152

3250 1890(the)N

3153

3374(value)X

3154

3574(of)X

3155

3667(the)X

3156

3791(array)X

3157

2 f

3158

3983(R)X

3159

1 f

3160

864 2010(after)N

3161

1039(the)X

3162

2 f

3163

1170(j)X

3164

1 f

3165

1219(character)X

3166

1542(of)X

3167

1636(the)X

3168

1761(text)X

3169

1908(has)X

3170

2042(been)X

3171

2221(processed.)X

3172

2605(The)X

3173

2757(array)X

3174

2 f

3175

2950(R)X

3176

7 s

3177

3003 2026(j)N

3178

1 f

3179

10 s

3180

3051 2010(contains)N

3181

3344(information)X

3182

3748(about)X

3183

3952(all)X

3184

864 2130(matches)N

3185

1151(of)X

3186

1242(pre\256xes)X

3187

1520(of)X

3188

2 f

3189

1611(P)X

3190

1 f

3191

1684(that)X

3192

1828(end)X

3193

1968(at)X

3194

2 f

3195

2056(j)X

3196

1 f

3197

2078(.)X

3198

2122(More)X

3199

2320(precisely,)X

3200

2 f

3201

2654(R)X

3202

7 s

3203

2707 2146(j)N

3204

1 f

3205

10 s

3206

2729 2130([)N

3207

2 f

3208

2756(i)X

3209

1 f

3210

2791(])X

3211

2 f

3212

9 f

3213

2831(=)X

3214

1 f

3215

2888(1)X

3216

2952(if)X

3217

3025(the)X

3218

3147(\256rst)X

3219

2 f

3220

3295(i)X

3221

1 f

3222

3341(characters)X

3223

3692(of)X

3224

3784(the)X

3225

3907(pat-)X

3226

864 2250(tern)N

3227

1020(match)X

3228

1247(exactly)X

3229

1510(the)X

3230

1639(last)X

3231

2 f

3232

1781(i)X

3233

1 f

3234

1834(characters)X

3235

2192(up)X

3236

2303(to)X

3237

2 f

3238

2402(j)X

3239

1 f

3240

2455(in)X

3241

2548(the)X

3242

2676(text)X

3243

2826(\(i.e.,)X

3244

2 f

3245

3001(p)X

3246

1 f

3247

7 s

3248

3050 2266(1)N

3249

2 f

3250

10 s

3251

3084 2250(p)N

3252

1 f

3253

7 s

3254

3133 2266(2)N

3255

10 s

3256

3187 2226(.)N

3257

3227(.)X

3258

3267(.)X

3259

2 f

3260

3307 2250(p)N

3261

7 s

3262

2266(i)Y

3263

1 f

3264

10 s

3265

2 f

3266

9 f

3267

3389 2250(=)N

3268

1 f

3269

2 f

3270

3453(t)X

3271

7 s

3272

3479 2266(j)N

3273

9 f

3274

3504(-)X

3275

2 f

3276

3535(i)X

3277

9 f

3278

3560(+)X

3279

1 f

3280

3591(1)X

3281

2 f

3282

10 s

3283

3625 2250(t)N

3284

7 s

3285

3651 2266(j)N

3286

9 f

3287

3676(-)X

3288

2 f

3289

3707(i)X

3290

9 f

3291

3732(+)X

3292

1 f

3293

3763(2)X

3294

10 s

3295

3817 2226(.)N

3296

3857(.)X

3297

3897(.)X

3298

2 f

3299

3937 2250(t)N

3300

7 s

3301

3963 2266(j)N

3302

1 f

3303

10 s

3304

3985 2250(\).)N

3305

864 2370(When)N

3306

1076(we)X

3307

1190(read)X

3308

2 f

3309

1349(t)X

3310

7 s

3311

1375 2386(j)N

3312

9 f

3313

1400(+)X

3314

1 f

3315

1431(1)X

3316

10 s

3317

1485 2370(we)N

3318

1599(need)X

3319

1771(to)X

3320

1853(determine)X

3321

2194(whether)X

3322

2 f

3323

2473(t)X

3324

7 s

3325

2499 2386(j)N

3326

9 f

3327

2524(+)X

3328

1 f

3329

2555(1)X

3330

10 s

3331

2609 2370(can)N

3332

2741(extend)X

3333

2976(any)X

3334

3113(of)X

3335

3201(the)X

3336

3320(partial)X

3337

3546(matches)X

3338

3830(so)X

3339

3922(far.)X

3340

864 2490(For)N

3341

996(each)X

3342

2 f

3343

1165(i)X

3344

1 f

3345

1208(such)X

3346

1376(that)X

3347

2 f

3348

1517(R)X

3349

7 s

3350

1570 2506(j)N

3351

1 f

3352

10 s

3353

1592 2490([)N

3354

2 f

3355

1619(i)X

3356

1 f

3357

1654(])X

3358

2 f

3359

9 f

3360

1694(=)X

3361

1 f

3362

1751(1)X

3363

1812(we)X

3364

1927(need)X

3365

2100(to)X

3366

2183(check)X

3367

2391(whether)X

3368

2 f

3369

2670(t)X

3370

7 s

3371

2696 2506(j)N

3372

9 f

3373

2721(+)X

3374

1 f

3375

2752(1)X

3376

10 s

3377

2806 2490(is)N

3378

2879(equal)X

3379

3073(to)X

3380

2 f

3381

3155(p)X

3382

7 s

3383

2506(i)Y

3384

9 f

3385

3220(+)X

3386

1 f

3387

3251(1)X

3388

10 s

3389

3285 2490(.)N

3390

3345(If)X

3391

2 f

3392

3419(R)X

3393

7 s

3394

3472 2506(j)N

3395

1 f

3396

10 s

3397

3494 2490([)N

3398

2 f

3399

3521(i)X

3400

1 f

3401

3556(])X

3402

2 f

3403

9 f

3404

3596(=)X

3405

1 f

3406

3653(0)X

3407

3713(then)X

3408

3871(there)X

3409

864 2610(is)N

3410

952(no)X

3411

1067(match)X

3412

1298(up)X

3413

1413(to)X

3414

2 f

3415

1510(i)X

3416

1 f

3417

1567(and)X

3418

1718(there)X

3419

1914(cannot)X

3420

2163(be)X

3421

2274(a)X

3422

2345(match)X

3423

2577(up)X

3424

2693(to)X

3425

2 f

3426

2791(i)X

3427

9 f

3428

2826(+)X

3429

1 f

3430

2870(1.)X

3431

2986(If)X

3432

2 f

3433

3076(t)X

3434

7 s

3435

3102 2626(j)N

3436

9 f

3437

3127(+)X

3438

1 f

3439

3158(1)X

3440

2 f

3441

10 s

3442

9 f

3443

3205 2610(=)N

3444

2 f

3445

3262(p)X

3446

1 f

3447

7 s

3448

3311 2626(1)N

3449

10 s

3450

3381 2610(then)N

3451

2 f

3452

3555(R)X

3453

7 s

3454

3608 2626(j)N

3455

9 f

3456

3633(+)X

3457

1 f

3458

3664(1)X

3459

10 s

3460

3698 2610([1])N

3461

2 f

3462

9 f

3463

3805(=)X

3464

1 f

3465

3862(1.)X

3466

3978(If)X

3467

2 f

3468

864 2730(R)N

3469

7 s

3470

917 2746(j)N

3471

9 f

3472

942(+)X

3473

1 f

3474

973(1)X

3475

10 s

3476

1007 2730([)N

3477

2 f

3478

1034(m)X

3479

1 f

3480

1105(])X

3481

2 f

3482

9 f

3483

1152(=)X

3484

1 f

3485

1216(1)X

3486

1281(then)X

3487

1444(we)X

3488

1563(have)X

3489

1739(a)X

3490

1799(complete)X

3491

2117(match,)X

3492

2357(starting)X

3493

2621(at)X

3494

2 f

3495

2709(j)X

3496

9 f

3497

2744(-)X

3498

2 f

3499

2788(m)X

3500

9 f

3501

2859(+)X

3502

1 f

3503

2903(2,)X

3504

2987(and)X

3505

3127(we)X

3506

3245(output)X

3507

3473(it.)X

3508

3581(The)X

3509

3730(transition)X

3510

864 2850(from)N

3511

2 f

3512

1040(R)X

3513

7 s

3514

1093 2866(j)N

3515

1 f

3516

10 s

3517

1135 2850(to)N

3518

2 f

3519

1217(R)X

3520

7 s

3521

1270 2866(j)N

3522

9 f

3523

1295(+)X

3524

1 f

3525

1326(1)X

3526

10 s

3527

1380 2850(can)N

3528

1512(be)X

3529

1608(summarized)X

3530

2020(as)X

3531

2107(follows:)X

3532

1008 2970(Initially,)N

3533

2 f

3534

1301(R)X

3535

1 f

3536

7 s

3537

1359 2986(0)N

3538

10 s

3539

1393 2970([)N

3540

2 f

3541

1420(i)X

3542

1 f

3543

1455(])X

3544

2 f

3545

9 f

3546

1502(=)X

3547

1 f

3548

1566(0)X

3549

1626(for)X

3550

1740(all)X

3551

2 f

3552

1840(i)X

3553

1 f

3554

1862(,)X

3555

1902(1)X

3556

2 f

3557

9 f

3558

1955(\243)X

3559

2 f

3560

2012(i)X

3561

9 f

3562

2053(\243)X

3563

2 f

3564

2110(m)X

3565

1 f

3566

2188(;)X

3567

2 f

3568

2230(R)X

3569

1 f

3570

7 s

3571

2288 2986(0)N

3572

10 s

3573

2322 2970([0])N

3574

2 f

3575

9 f

3576

2436(=)X

3577

1 f

3578

2500(1)X

3579

2560(\(to)X

3580

2669(avoid)X

3581

2867(having)X

3582

3105(a)X

3583

3161(special)X

3584

3404(case)X

3585

3563(for)X

3586

2 f

3587

3677(i)X

3588

9 f

3589

3712(=)X

3590

1 f

3591

3756(1\).)X

3592

2 f

3593

1024 3194(R)N

3594

7 s

3595

1077 3210(j)N

3596

9 f

3597

1102(+)X

3598

1 f

3599

1133(1)X

3600

10 s

3601

1167 3194([)N

3602

2 f

3603

1194(i)X

3604

1 f

3605

1229(])X

3606

2 f

3607

9 f

3608

1296(=)X

3609

1 f

3610

10 f

3611

1393 3114(I)N

3612

1393 3194(K)N

3613

1393 3274(L)N

3614

1 f

3615

3234(0)Y

3616

1413 3122(1)N

3617

1493 3234(otherwise)N

3618

1493 3106(if)N

3619

2 f

3620

1562(R)X

3621

7 s

3622

1615 3122(j)N

3623

1 f

3624

10 s

3625

1637 3106([)N

3626

2 f

3627

1664(i)X

3628

9 f

3629

1699(-)X

3630

1 f

3631

1743(1])X

3632

2 f

3633

9 f

3634

1830(=)X

3635

1 f

3636

1894(1)X

3637

1954(and)X

3638

2 f

3639

2090(p)X

3640

7 s

3641

3122(i)Y

3642

10 s

3643

9 f

3644

2165 3106(=)N

3645

2 f

3646

2222(t)X

3647

7 s

3648

2248 3122(j)N

3649

9 f

3650

2273(+)X

3651

1 f

3652

2304(1)X

3653

10 s

3654

864 3434(If)N

3655

2 f

3656

938(R)X

3657

7 s

3658

991 3450(j)N

3659

9 f

3660

1016(+)X

3661

1 f

3662

1047(1)X

3663

10 s

3664

1081 3434([)N

3665

2 f

3666

1108(m)X

3667

1 f

3668

1179(])X

3669

2 f

3670

9 f

3671

1226(=)X

3672

1 f

3673

1290(1)X

3674

1350(then)X

3675

1508(we)X

3676

1622(output)X

3677

1846(a)X

3678

1902(match)X

3679

2118(at)X

3680

2 f

3681

2202(j)X

3682

9 f

3683

2237(-)X

3684

2 f

3685

2281(m)X

3686

9 f

3687

2352(+)X

3688

1 f

3689

2396(2)X

3690

2456(;)X

3691

1064 3587(This)N

3692

1230(transition,)X

3693

1576(which)X

3694

1796(we)X

3695

1914(have)X

3696

2090(to)X

3697

2176(compute)X

3698

2476(once)X

3699

2652(for)X

3700

2771(every)X

3701

2975(text)X

3702

3120(character,)X

3703

3461(seems)X

3704

3682(quite)X

3705

3867(com-)X

3706

864 3707(plicated.)N

3707

1190(Other)X

3708

1405(fast)X

3709

1553(string-matching)X

3710

2092(algorithms)X

3711

2466(avoid)X

3712

2676(the)X

3713

2806(need)X

3714

2990(to)X

3715

3084(maintain)X

3716

3396(the)X

3717

3526(whole)X

3718

3754(array)X

3719

3952(by)X

3720

864 3827(storing)N

3721

1113(only)X

3722

1282(the)X

3723

2 f

3724

1407(best)X

3725

1563(match)X

3726

1 f

3727

1786(so)X

3728

1885(far)X

3729

2003(and)X

3730

2147(some)X

3731

2344(more)X

3732

2537(information)X

3733

2943(that)X

3734

3091(depends)X

3735

3382(on)X

3736

3490(the)X

3737

3616(pattern.)X

3738

3907(The)X

3739

864 3947(main)N

3740

1052(observation)X

3741

1454(about)X

3742

1660(this)X

3743

1803(transition,)X

3744

2153(due)X

3745

2297(to)X

3746

2387(Baeza-Yates)X

3747

2821(and)X

3748

2964(Gonnet)X

3749

3227([BG89],)X

3750

3519(is)X

3751

3599(that)X

3752

3746(it)X

3753

3817(can)X

3754

3956(be)X

3755

864 4067(computed)N

3756

1201(very)X

3757

1365(fast)X

3758

1502(in)X

3759

1585(practice)X

3760

1861(as)X

3761

1949(follows.)X

3762

2250(Let)X

3763

2378(the)X

3764

2497(alphabet)X

3765

2791(be)X

3766

2 f

3767

9 f

3768

2889(S)X

3769

2949(=)X

3770

2 f

3771

3006(s)X

3772

1 f

3773

7 s

3774

3046 4083(1)N

3775

10 s

3776

3080 4067(,)N

3777

2 f

3778

3106(s)X

3779

1 f

3780

7 s

3781

3146 4083(2)N

3782

10 s

3783

3180 4067(,)N

3784

2 f

3785

3206(...)X

3786

1 f

3787

(,)S

3788

2 f

3789

3292(s)X

3790

1 f

3791

7 s

3792

9 f

3793

3341 4083(|)N

3794

2 f

3795

9 f

3796

3361(S)X

3797

1 f

3798

9 f

3799

3403(|)X

3800

10 s

3801

1 f

3802

3429 4067(.)N

3803

3491(For)X

3804

3624(each)X

3805

3794(charac-)X

3806

864 4187(ter)N

3807

2 f

3808

983(s)X

3809

7 s

3810

1014 4203(i)N

3811

1 f

3812

10 s

3813

1070 4187(in)N

3814

1166(the)X

3815

1298(alphabet)X

3816

1604(we)X

3817

1732(construct)X

3818

2059(a)X

3819

2128(bit)X

3820

2245(array)X

3821

2 f

3822

2444(S)X

3823

7 s

3824

4203(i)Y

3825

1 f

3826

10 s

3827

2539 4187(of)N

3828

2639(size)X

3829

2 f

3830

2797(m)X

3831

1 f

3832

2888(such)X

3833

3068(that)X

3834

2 f

3835

3221(S)X

3836

7 s

3837

4203(i)Y

3838

1 f

3839

10 s

3840

3283 4187([)N

3841

2 f

3842

3310(r)X

3843

1 f

3844

3354(])X

3845

2 f

3846

9 f

3847

3394(=)X

3848

1 f

3849

3451(1)X

3850

3524(if)X

3851

2 f

3852

3606(p)X

3853

7 s

3854

4203(r)Y

3855

10 s

3856

9 f

3857

3687 4187(=)N

3858

2 f

3859

3744(s)X

3860

7 s

3861

3775 4203(i)N

3862

1 f

3863

10 s

3864

3797 4187(.)N

3865

3870(\(It)X

3866

3979(is)X

3867

864 4307(suf\256cient)N

3868

1193(to)X

3869

1286(construct)X

3870

1611(the)X

3871

2 f

3872

1740(S)X

3873

1 f

3874

1811(arrays)X

3875

2039(only)X

3876

2212(for)X

3877

2337(the)X

3878

2466(characters)X

3879

2824(that)X

3880

2975(appear)X

3881

3222(in)X

3882

3316(the)X

3883

3446(pattern.\))X

3884

3768(In)X

3885

3867(other)X

3886

864 4427(words,)N

3887

2 f

3888

1103(S)X

3889

7 s

3890

4443(i)Y

3891

1 f

3892

10 s

3893

1188 4427(denotes)N

3894

1456(the)X

3895

1577(indices)X

3896

1827(in)X

3897

1912(the)X

3898

2033(pattern)X

3899

2279(that)X

3900

2422(contain)X

3901

2 f

3902

2681(s)X

3903

7 s

3904

2712 4443(i)N

3905

1 f

3906

10 s

3907

2734 4427(.)N

3908

2796(It)X

3909

2867(is)X

3910

2942(easy)X

3911

3107(to)X

3912

3191(verify)X

3913

3405(now)X

3914

3565(that)X

3915

3707(the)X

3916

3827(transi-)X

3917

864 4547(tion)N

3918

1014(from)X

3919

2 f

3920

1196(R)X

3921

7 s

3922

1249 4563(j)N

3923

1 f

3924

10 s

3925

1297 4547(to)N

3926

2 f

3927

1385(R)X

3928

7 s

3929

1438 4563(j)N

3930

9 f

3931

1463(+)X

3932

1 f

3933

1494(1)X

3934

10 s

3935

1554 4547(amounts)N

3936

1851(to)X

3937

1939(no)X

3938

2045(more)X

3939

2236(than)X

3940

2400(a)X

3941

2 f

3942

2462(right)X

3943

2644(shift)X

3944

1 f

3945

2808(of)X

3946

2 f

3947

2902(R)X

3948

7 s

3949

2955 4563(j)N

3950

1 f

3951

10 s

3952

3004 4547(and)N

3953

3147(an)X

3954

3250(AND)X

3955

3451(operation)X

3956

3781(with)X

3957

2 f

3958

3950(S)X

3959

7 s

3960

4563(i)Y

3961

1 f

3962

10 s

3963

4012 4547(,)N

3964

864 4667(where)N

3965

2 f

3966

1085(s)X

3967

7 s

3968

1116 4683(i)N

3969

10 s

3970

9 f

3971

1151 4667(=)N

3972

2 f

3973

1208(t)X

3974

7 s

3975

1234 4683(j)N

3976

9 f

3977

1259(+)X

3978

1 f

3979

1290(1)X

3980

10 s

3981

1324 4667(.)N

3982

1388(So,)X

3983

1516(each)X

3984

1688(transition)X

3985

2014(can)X

3986

2150(be)X

3987

2250(executed)X

3988

2560(with)X

3989

2726(only)X

3990

2892(two)X

3991

3035(simple)X

3992

3271(arithmetic)X

3993

3619(operations,)X

3994

3996(a)X

3995

864 4787(shift)N

3996

1031(and)X

3997

1172(an)X

3998

1273(AND.)X

3999

1512(We)X

4000

1649(assume)X

4001

1910(that)X

4002

2055(the)X

4003

2178(right)X

4004

2354(shift)X

4005

2521(\256lls)X

4006

2665(the)X

4007

2788(\256rst)X

4008

2937(position)X

4009

3219(with)X

4010

3386(a)X

4011

3447(1.)X

4012

3553(If)X

4013

3633(only)X

4014

3801(0-\256lled)X

4015

864 4907(shifts)N

4016

1063(are)X

4017

1188(available)X

4018

1504(\(as)X

4019

1623(is)X

4020

1701(the)X

4021

1824(case)X

4022

1988(with)X

4023

2155(C\),)X

4024

2280(then)X

4025

2443(we)X

4026

2562(can)X

4027

2699(add)X

4028

2840(one)X

4029

2981(more)X

4030

3171(OR)X

4031

3307(operation)X

4032

3635(with)X

4033

3802(a)X

4034

3863(mask)X

4035

864 5027(that)N

4036

1009(has)X

4037

1141(one)X

4038

1282(bit.)X

4039

1431 0.2955(\(Baeza-Yates)AX

4040

1890(and)X

4041

2031(Gonnet)X

4042

2292([BG89])X

4043

2562(used)X

4044

2734(0)X

4045

2799(to)X

4046

2886(indicate)X

4047

3165(a)X

4048

3226(match)X

4049

3447(and)X

4050

3588(an)X

4051

3689(OR)X

4052

3826(opera-)X

4053

864 5147(tion)N

4054

1010(instead)X

4055

1259(of)X

4056

1348(an)X

4057

1446(AND;)X

4058

1684(that)X

4059

1826(way,)X

4060

2002(0-\256lled)X

4061

2255(shifts)X

4062

2449(are)X

4063

2569(suf\256cient.)X

4064

2928(This)X

4065

3091(is)X

4066

3165(counterintuitive)X

4067

3693(to)X

4068

3776(explain,)X

4069

864 5267(so)N

4070

966(we)X

4071

1091(opted)X

4072

1300(for)X

4073

1425(the)X

4074

1554(easier)X

4075

1773(de\256nition.\))X

4076

2177(An)X

4077

2306(example)X

4078

2609(is)X

4079

2693(given)X

4080

2902(in)X

4081

2996(Figure)X

4082

3237(1a,)X

4083

3365(where)X

4084

3594(the)X

4085

3724(pattern)X

4086

3979(is)X

4087

2 f

4088

864 5387(aabac)N

4089

1 f

4090

1080(and)X

4091

1216(the)X

4092

1334(text)X

4093

1474(is)X

4094

2 f

4095

1547(aabaacaabacab)X

4096

1 f

4097

2059(.)X

4098

2119(The)X

4099

2264(masks)X

4100

2484(for)X

4101

2 f

4102

2598(a)X

4103

2658(b)X

4104

1 f

4105

2718(and)X

4106

2 f

4107

2854(c)X

4108

1 f

4109

2910(are)X

4110

3029(given)X

4111

3227(in)X

4112

3309(Figure)X

4113

3538(1b.)X

4114

1064 5540(The)N

4115

1216(discussion)X

4116

1576(above)X

4117

1795(assumes,)X

4118

2109(of)X

4119

2203(course,)X

4120

2460(that)X

4121

2607(the)X

4122

2732(pattern's)X

4123

3040(size)X

4124

3193(is)X

4125

3274(no)X

4126

3382(more)X

4127

3575(than)X

4128

3741(the)X

4129

3867(word)X

4130

864 5660(size,)N

4131

1047(which)X

4132

1281(is)X

4133

1372(often)X

4134

1575(the)X

4135

1711(case.)X

4136

1928(If)X

4137

2020(the)X

4138

2155(pattern's)X

4139

2473(size)X

4140

2635(is)X

4141

2725(twice)X

4142

2936(the)X

4143

3071(word)X

4144

3273(size,)X

4145

3455(then)X

4146

3630(4)X

4147

3707(arithmetic)X

4148

4149

4 p

4150

%%Page: 4 5

4151

10 s 10 xH 0 xS 1 f

4152

3 f

4153

2428 696(4)N

4154

1 f

4155

1308 1233(a)N

4156

1468(a)X

4157

1628(b)X

4158

1788(a)X

4159

1948(a)X

4160

2108(c)X

4161

2268(a)X

4162

2428(a)X

4163

2588(b)X

4164

2748(a)X

4165

2908(c)X

4166

3068(a)X

4167

3228(b)X

4168

3508(a)X

4169

3668(b)X

4170

3828(c)X

4171

1028 1353(a)N

4172

1308(1)X

4173

1468(1)X

4174

1628(0)X

4175

1788(1)X

4176

1948(1)X

4177

2108(0)X

4178

2268(1)X

4179

2428(1)X

4180

2588(0)X

4181

2748(1)X

4182

2908(0)X

4183

3068(1)X

4184

3228(0)X

4185

3508(1)X

4186

3668(0)X

4187

3828(0)X

4188

1028 1473(a)N

4189

1308(0)X

4190

1468(1)X

4191

1628(0)X

4192

1788(0)X

4193

1948(1)X

4194

2108(0)X

4195

2268(0)X

4196

2428(1)X

4197

2588(0)X

4198

2748(0)X

4199

2908(0)X

4200

3068(0)X

4201

3228(0)X

4202

3508(1)X

4203

3668(0)X

4204

3828(0)X

4205

1028 1593(b)N

4206

1308(0)X

4207

1468(0)X

4208

1628(1)X

4209

1788(0)X

4210

1948(0)X

4211

2108(0)X

4212

2268(0)X

4213

2428(0)X

4214

2588(1)X

4215

2748(0)X

4216

2908(0)X

4217

3068(0)X

4218

3228(0)X

4219

3508(0)X

4220

3668(1)X

4221

3828(0)X

4222

1028 1713(a)N

4223

1308(0)X

4224

1468(0)X

4225

1628(0)X

4226

1788(1)X

4227

1948(0)X

4228

2108(0)X

4229

2268(0)X

4230

2428(0)X

4231

2588(0)X

4232

2748(1)X

4233

2908(0)X

4234

3068(0)X

4235

3228(0)X

4236

3508(1)X

4237

3668(0)X

4238

3828(0)X

4239

1028 1833(c)N

4240

1308(0)X

4241

1468(0)X

4242

1628(0)X

4243

1788(0)X

4244

1948(0)X

4245

2108(0)X

4246

2268(0)X

4247

2428(0)X

4248

2588(0)X

4249

2748(0)X

4250

2908(1)X

4251

3068(0)X

4252

3228(0)X

4253

3508(0)X

4254

3668(0)X

4255

3828(1)X

4256

2016 2050(a.)N

4257

3628(b.)X

4258

1303 2266(Figure)N

4259

1532(1:)X

4260

1634(An)X

4261

1752(example)X

4262

2044(of)X

4263

2131(exact)X

4264

2321(matching)X

4265

2639(and)X

4266

2775(the)X

4267

2893(corresponding)X

4268

3372(masks.)X

4269

864 2482(operations)N

4270

1229(will)X

4271

1384(suf\256ce.)X

4272

1649(Patterns)X

4273

1938(of)X

4274

2036(more)X

4275

2232(than)X

4276

2401(64)X

4277

2512(characters)X

4278

2870(are)X

4279

3001(quite)X

4280

3193(rare)X

4281

3351(in)X

4282

3445(practice,)X

4283

3752(although)X

4284

864 2602(there)N

4285

1046(are)X

4286

1166(applications)X

4287

1574(for)X

4288

1689(which)X

4289

1905(they)X

4290

2063(can)X

4291

2195(appear.)X

4292

2470(We)X

4293

2602(discuss)X

4294

2853(this)X

4295

2988(issue)X

4296

3168(further)X

4297

3407(in)X

4298

3489(section)X

4299

3736(3,)X

4300

3816(but)X

4301

3938(for)X

4302

864 2722(now)N

4303

1026(we'll)X

4304

1215(assume)X

4305

1475(that)X

4306

1619(the)X

4307

1741(pattern's)X

4308

2046(size)X

4309

2195(is)X

4310

2272(no)X

4311

2376(more)X

4312

2566(than)X

4313

2729(the)X

4314

2852(word)X

4315

3042(size.)X

4316

3232(This)X

4317

3399(algorithm)X

4318

3735(is)X

4319

3813(clearly)X

4320

864 2842(very)N

4321

1029(easy)X

4322

1194(to)X

4323

1278(implement.)X

4324

1682(Its)X

4325

1784(running)X

4326

2055(time)X

4327

2219(is)X

4328

2294(totally)X

4329

2520(predictable)X

4330

2899(because)X

4331

3175(it)X

4332

3240(depends)X

4333

3524(only)X

4334

3687(on)X

4335

3788(the)X

4336

3907(size)X

4337

864 2962(of)N

4338

951(the)X

4339

1069(text)X

4340

1209(\(assuming)X

4341

1558(again)X

4342

1753(that)X

4343

1894(the)X

4344

2013(pattern)X

4345

2257(\256ts)X

4346

2375(into)X

4347

2520(a)X

4348

2577(word\))X

4349

2790(and)X

4350

2927(not)X

4351

3050(on)X

4352

3151(the)X

4353

3270(actual)X

4354

3483(text)X

4355

3624(or)X

4356

3712(the)X

4357

3831(alpha-)X

4358

864 3082(bet.)N

4359

6 f

4360

12 s

4361

864 3322(2.2.)N

4362

1078(Matching)X

4363

1527(With)X

4364

1763(Errors)X

4365

1 f

4366

10 s

4367

864 3475(We)N

4368

1007(now)X

4369

1176(show)X

4370

1376(how)X

4371

1545(to)X

4372

1638(adapt)X

4373

1843(the)X

4374

1972(previous)X

4375

2279(algorithm)X

4376

2621(to)X

4377

2714(allow)X

4378

2923(errors.)X

4379

3182 0.2955(\(Baeza-Yates)AX

4380

3648(and)X

4381

3796(Gonnet)X

4382

864 3595([BG89])N

4383

1138(showed)X

4384

1412(how)X

4385

1579(to)X

4386

1670(handle)X

4387

1913(only)X

4388

2084(mismatches)X

4389

2491(by)X

4390

2600(essentially)X

4391

2967(counting)X

4392

2 f

4393

3276(k)X

4394

1 f

4395

3341(of)X

4396

3437(them)X

4397

3626(with)X

4398

3796(a)X

4399

3860(log)X

4400

7 s

4401

3962 3611(2)N

4402

2 f

4403

10 s

4404

3996 3595(k)N

4405

1 f

4406

864 3715(size)N

4407

1016(counter,)X

4408

1304(but)X

4409

1433(they)X

4410

1599(did)X

4411

1729(not)X

4412

1859(handle)X

4413

2101(insertions)X

4414

2440(or)X

4415

2535(deletions.\))X

4416

2919(We)X

4417

3059(start)X

4418

3225(with)X

4419

3395(a)X

4420

3459(very)X

4421

3630(simple)X

4422

3871(case:)X

4423

864 3835(only)N

4424

1032(one)X

4425

1174(insertion)X

4426

1480(is)X

4427

1559(allowed)X

4428

1839(into)X

4429

1989(the)X

4430

2113(pattern)X

4431

2362(at)X

4432

2446(any)X

4433

2588(position.)X

4434

2891(In)X

4435

2984(other)X

4436

3175(words,)X

4437

3416(we)X

4438

3535(want)X

4439

3716(to)X

4440

3803(\256nd)X

4441

3952(all)X

4442

864 3955(intervals)N

4443

1162(of)X

4444

1251(size)X

4445

1398(at)X

4446

1478(most)X

4447

2 f

4448

1655(m)X

4449

9 f

4450

1732(+)X

4451

1 f

4452

1789(1)X

4453

1851(in)X

4454

1935(the)X

4455

2055(text)X

4456

2197(that)X

4457

2339(contain)X

4458

2597(the)X

4459

2717(pattern)X

4460

2962(as)X

4461

3052(a)X

4462

3111(subsequence.)X

4463

3580(We)X

4464

3715(de\256ne)X

4465

3934(the)X

4466

2 f

4467

864 4075(R)N

4468

1 f

4469

938(and)X

4470

2 f

4471

1079(S)X

4472

1 f

4473

1144(arrays)X

4474

1366(as)X

4475

1458(before,)X

4476

1709(but)X

4477

1836(now)X

4478

1999(we)X

4479

2118(have)X

4480

2295(two)X

4481

2440(possibilities)X

4482

2846(for)X

4483

2965(each)X

4484

3137(pre\256x)X

4485

3348(match.)X

4486

3608(We)X

4487

3744(can)X

4488

3880(have)X

4489

864 4195(an)N

4490

963(exact)X

4491

1156(match)X

4492

1375(or)X

4493

1465(a)X

4494

1524(match)X

4495

1743(with)X

4496

1908(one)X

4497

2048(insertion.)X

4498

2392(Therefore,)X

4499

2754(we)X

4500

2872(introduce)X

4501

3199(another)X

4502

3464(array,)X

4503

3674(denoted)X

4504

3952(by)X

4505

2 f

4506

864 4315(R)N

4507

7 s

4508

921 4331(j)N

4509

1 f

4510

917 4283(1)N

4511

10 s

4512

951 4315(,)N

4513

1007(which)X

4514

1239(indicates)X

4515

1560(all)X

4516

1676(possible)X

4517

1974(matches)X

4518

2272(up)X

4519

2387(to)X

4520

2 f

4521

2484(t)X

4522

7 s

4523

2510 4331(j)N

4524

1 f

4525

10 s

4526

2567 4315(with)N

4527

2744(at)X

4528

2837(most)X

4529

3027(one)X

4530

3178(insertion.)X

4531

3513(More)X

4532

3722(precisely,)X

4533

2 f

4534

864 4435(R)N

4535

7 s

4536

921 4451(j)N

4537

1 f

4538

917 4403(1)N

4539

10 s

4540

951 4435([)N

4541

2 f

4542

978(i)X

4543

1 f

4544

1013(])X

4545

2 f

4546

9 f

4547

1053(=)X

4548

1 f

4549

1110(1)X

4550

1172(if)X

4551

1243(the)X

4552

1363(\256rst)X

4553

2 f

4554

1509(i)X

4555

1 f

4556

1553(characters)X

4557

1902(of)X

4558

1991(the)X

4559

2111(pattern)X

4560

2356(match)X

4561

2 f

4562

2574(i)X

4563

1 f

4564

2618(of)X

4565

2707(the)X

4566

2827(last)X

4567

2 f

4568

2960(i)X

4569

9 f

4570

2995(+)X

4571

1 f

4572

3039(1)X

4573

3101(characters)X

4574

3450(up)X

4575

3552(to)X

4576

2 f

4577

3642(j)X

4578

1 f

4579

3686(in)X

4580

3771(the)X

4581

3892(text.)X

4582

864 4555(If)N

4583

954(we)X

4584

1084(can)X

4585

1232(maintain)X

4586

1548(both)X

4587

2 f

4588

1726(R)X

4589

1 f

4590

1811(and)X

4591

2 f

4592

1963(R)X

4593

1 f

4594

7 s

4595

2021 4523(1)N

4596

10 s

4597

2091 4555(then)N

4598

2265(we)X

4599

2395(can)X

4600

2543(\256nd)X

4601

2703(all)X

4602

2819(matches)X

4603

3118(with)X

4604

3296(at)X

4605

3389(most)X

4606

3579(one)X

4607

3730(insertion:)X

4608

2 f

4609

864 4675(R)N

4610

7 s

4611

917 4691(j)N

4612

1 f

4613

10 s

4614

939 4675([)N

4615

2 f

4616

966(m)X

4617

1 f

4618

1037(])X

4619

2 f

4620

9 f

4621

1077(=)X

4622

1 f

4623

1134(1)X

4624

1196(indicates)X

4625

1503(that)X

4626

1646(there)X

4627

1830(is)X

4628

1906(an)X

4629

2005(exact)X

4630

2198(match)X

4631

2417(and)X

4632

2 f

4633

2556(R)X

4634

7 s

4635

2613 4691(j)N

4636

1 f

4637

2609 4643(1)N

4638

10 s

4639

2643 4675([)N

4640

2 f

4641

2670(m)X

4642

1 f

4643

2741(])X

4644

2 f

4645

9 f

4646

2781(=)X

4647

1 f

4648

2838(1)X

4649

2901(indicates)X

4650

3209(that)X

4651

3352(there)X

4652

3536(is)X

4653

3612(a)X

4654

3671(match)X

4655

3890(with)X

4656

864 4795(at)N

4657

942(most)X

4658

1117(one)X

4659

1253(insertion)X

4660

1553(\(sometimes)X

4661

1942(both)X

4662

2104(will)X

4663

2248(equal)X

4664

2442(to)X

4665

2524(1)X

4666

2584(at)X

4667

2662(the)X

4668

2780(same)X

4669

2965(time\).)X

4670

1064 4948(The)N

4671

1212(transition)X

4672

1537(for)X

4673

1654(the)X

4674

2 f

4675

1776(R)X

4676

1 f

4677

1849(array)X

4678

2039(is)X

4679

2116(the)X

4680

2238(same)X

4681

2427(as)X

4682

2518(before.)X

4683

2788(We)X

4684

2924(need)X

4685

3100(only)X

4686

3266(to)X

4687

3352(specify)X

4688

3608(the)X

4689

3730(transition)X

4690

864 5068(for)N

4691

2 f

4692

980(R)X

4693

1 f

4694

7 s

4695

1038 5036(1)N

4696

10 s

4697

1072 5068(.)N

4698

1134(There)X

4699

1344(are)X

4700

1465(two)X

4701

1607(cases)X

4702

1799(for)X

4703

1915(a)X

4704

1973(match)X

4705

2191(with)X

4706

2355(at)X

4707

2435(most)X

4708

2612(one)X

4709

2750(insertion)X

4710

3051(of)X

4711

3139(the)X

4712

3258(\256rst)X

4713

2 f

4714

3403(i)X

4715

1 f

4716

3446(characters)X

4717

3794(of)X

4718

2 f

4719

3882(P)X

4720

1 f

4721

3952(up)X

4722

864 5188(to)N

4723

2 f

4724

946(t)X

4725

7 s

4726

972 5204(j)N

4727

9 f

4728

997(+)X

4729

1 f

4730

1028(1)X

4731

10 s

4732

1062 5188(:)N

4733

864 5341(I1.)N

4734

1064(There)X

4735

1272(is)X

4736

1345(an)X

4737

1441(exact)X

4738

1631(match)X

4739

1847(of)X

4740

1934(the)X

4741

2052(\256rst)X

4742

2 f

4743

2196(i)X

4744

1 f

4745

2238(characters)X

4746

2585(up)X

4747

2685(to)X

4748

2 f

4749

2767(t)X

4750

7 s

4751

2793 5357(j)N

4752

1 f

4753

10 s

4754

2815 5341(.)N

4755

2876(In)X

4756

2964(this)X

4757

3100(case,)X

4758

3280(inserting)X

4759

2 f

4760

3581(t)X

4761

7 s

4762

3607 5357(j)N

4763

9 f

4764

3632(+)X

4765

1 f

4766

3663(1)X

4767

10 s

4768

3718 5341(at)N

4769

3797(the)X

4770

3916(end)X

4771

1064 5461(of)N

4772

1151(the)X

4773

1269(exact)X

4774

1459(match)X

4775

1675(creates)X

4776

1919(a)X

4777

1975(match)X

4778

2191(with)X

4779

2353(one)X

4780

2489(insertion.)X

4781

4782

5 p

4783

%%Page: 5 6

4784

10 s 10 xH 0 xS 1 f

4785

3 f

4786

2428 696(5)N

4787

1 f

4788

864 984(I2.)N

4789

1064(There)X

4790

1276(is)X

4791

1353(a)X

4792

1413(match)X

4793

1633(of)X

4794

1724(the)X

4795

1846(\256rst)X

4796

2 f

4797

1994(i)X

4798

9 f

4799

2029(-)X

4800

1 f

4801

2073(1)X

4802

2137(characters)X

4803

2489(up)X

4804

2594(to)X

4805

2 f

4806

2681(t)X

4807

7 s

4808

2707 1000(j)N

4809

1 f

4810

10 s

4811

2754 984(with)N

4812

2921(one)X

4813

3062(insertion)X

4814

2 f

4815

3367(and)X

4816

3512(t)X

4817

7 s

4818

3538 1000(j)N

4819

9 f

4820

3563(+)X

4821

1 f

4822

3594(1)X

4823

2 f

4824

10 s

4825

9 f

4826

3641 984(=)N

4827

2 f

4828

3698(p)X

4829

7 s

4830

1000(i)Y

4831

1 f

4832

10 s

4833

3760 984(.)N

4834

3825(In)X

4835

3917(this)X

4836

1064 1104(case,)N

4837

1243(the)X

4838

1361(insertion)X

4839

1661(is)X

4840

1734(somewhere)X

4841

2120(inside)X

4842

2331(the)X

4843

2449(pattern)X

4844

2692(and)X

4845

2828(not)X

4846

2950(at)X

4847

3028(the)X

4848

3146(end.)X

4849

864 1257(Case)N

4850

1046(I1)X

4851

1140(can)X

4852

1279(be)X

4853

1382(handled)X

4854

1663(by)X

4855

1770(just)X

4856

1912(copying)X

4857

2197(the)X

4858

2322(value)X

4859

2523(of)X

4860

2 f

4861

2617(R)X

4862

1 f

4863

2693(to)X

4864

2 f

4865

2782(R)X

4866

1 f

4867

7 s

4868

2840 1225(1)N

4869

10 s

4870

2901 1257(and)N

4871

3044(case)X

4872

3210(I2)X

4873

3304(can)X

4874

3443(be)X

4875

3546(handled)X

4876

3827(with)X

4877

3996(a)X

4878

864 1377(right)N

4879

1037(shift)X

4880

1201(of)X

4881

2 f

4882

1290(R)X

4883

1 f

4884

7 s

4885

1348 1345(1)N

4886

10 s

4887

1404 1377(and)N

4888

1542(an)X

4889

1640(AND)X

4890

1836(operation)X

4891

2160(with)X

4892

2 f

4893

2323(S)X

4894

7 s

4895

1393(i)Y

4896

1 f

4897

10 s

4898

2406 1377(such)N

4899

2574(that)X

4900

2 f

4901

2715(s)X

4902

7 s

4903

2746 1393(i)N

4904

10 s

4905

9 f

4906

2781 1377(=)N

4907

2 f

4908

2838(t)X

4909

7 s

4910

2864 1393(j)N

4911

9 f

4912

2889(+)X

4913

1 f

4914

2920(1)X

4915

10 s

4916

2954 1377(.)N

4917

3015(So,)X

4918

3140(to)X

4919

3223(compute)X

4920

2 f

4921

3520(R)X

4922

7 s

4923

3577 1393(j)N

4924

1 f

4925

3573 1345(1)N

4926

10 s

4927

3628 1377(we)N

4928

3743(need)X

4929

3916(one)X

4930

864 1497(additional)N

4931

1212(shift)X

4932

1382(\(the)X

4933

1535(shift)X

4934

1705(of)X

4935

2 f

4936

1800(R)X

4937

1 f

4938

1877(is)X

4939

1958(done)X

4940

2142(already\),)X

4941

2454(one)X

4942

2598(AND)X

4943

2800(operation)X

4944

3132(and)X

4945

3277(one)X

4946

3422(OR)X

4947

3562(operation.)X

4948

3934(An)X

4949

864 1617(example)N

4950

1160(\(with)X

4951

1353(the)X

4952

1475(same)X

4953

1664(pattern)X

4954

1911(and)X

4955

2051(text)X

4956

2195(as)X

4957

2286(the)X

4958

2408(example)X

4959

2704(for)X

4960

2822(the)X

4961

2944(exact)X

4962

3138(matching,)X

4963

3480(is)X

4964

3557(given)X

4965

3759(in)X

4966

3845(\256gure)X

4967

864 1737(2.)N

4968

1064 1890(Consider)N

4969

1375(now)X

4970

1535(allowing)X

4971

1837(one)X

4972

1975(deletion)X

4973

2255(from)X

4974

2433(the)X

4975

2553(pattern)X

4976

2798(\(and)X

4977

2963(no)X

4978

3065(insertions\).)X

4979

3465(We)X

4980

3599(will)X

4981

3745(de\256ne)X

4982

2 f

4983

3963(R)X

4984

1 f

4985

4012(,)X

4986

2 f

4987

864 2010(R)N

4988

1 f

4989

7 s

4990

922 1978(1)N

4991

10 s

4992

984 2010(\(which)N

4993

1235(now)X

4994

1401(indicates)X

4995

1714(one)X

4996

1857(deletion\),)X

4997

2189(and)X

4998

2 f

4999

2332(S)X

5000

1 f

5001

2399(as)X

5002

2493(before.)X

5003

2766(There)X

5004

2981(are)X

5005

3107(again)X

5006

3308(two)X

5007

3455(cases)X

5008

3652(for)X

5009

3773(a)X

5010

3836(match)X

5011

864 2130(with)N

5012

1026(at)X

5013

1104(most)X

5014

1279(one)X

5015

1415(deletion)X

5016

1693(of)X

5017

1780(the)X

5018

1898(\256rst)X

5019

2 f

5020

2042(i)X

5021

1 f

5022

2084(characters)X

5023

2431(of)X

5024

2 f

5025

2518(P)X

5026

1 f

5027

2587(up)X

5028

2687(to)X

5029

2 f

5030

2769(t)X

5031

7 s

5032

2795 2146(j)N

5033

9 f

5034

2820(+)X

5035

1 f

5036

2851(1)X

5037

10 s

5038

2885 2130(:)N

5039

864 2283(D1.)N

5040

1064(There)X

5041

1274(is)X

5042

1349(an)X

5043

1447(exact)X

5044

1639(match)X

5045

1858(of)X

5046

1948(the)X

5047

2069(\256rst)X

5048

2 f

5049

2216(i)X

5050

9 f

5051

2251(-)X

5052

1 f

5053

2295(1)X

5054

2358(characters)X

5055

2708(up)X

5056

2811(to)X

5057

2 f

5058

2896(t)X

5059

7 s

5060

2922 2299(j)N

5061

9 f

5062

2947(+)X

5063

1 f

5064

2978(1)X

5065

10 s

5066

3035 2283(\(which)N

5067

3281(is)X

5068

3357(indicated)X

5069

3674(by)X

5070

3777(the)X

5071

3898(new)X

5072

1064 2403(value)N

5073

1261(of)X

5074

1351(the)X

5075

2 f

5076

1472(R)X

5077

1 f

5078

1544(array)X

5079

2 f

5080

1733(R)X

5081

7 s

5082

1786 2419(j)N

5083

9 f

5084

1811(+)X

5085

1 f

5086

1842(1)X

5087

10 s

5088

1876 2403([)N

5089

2 f

5090

1903(i)X

5091

9 f

5092

1938(-)X

5093

1 f

5094

1982(1]\).)X

5095

2139(This)X

5096

2304(case)X

5097

2466(corresponds)X

5098

2877(to)X

5099

2962(deleting)X

5100

2 f

5101

3243(p)X

5102

7 s

5103

2419(i)Y

5104

1 f

5105

10 s

5106

3328 2403(and)N

5107

3467(matching)X

5108

3788(the)X

5109

3908(\256rst)X

5110

2 f

5111

1064 2523(i)N

5112

9 f

5113

1099(-)X

5114

1 f

5115

1143(1)X

5116

1203(characters.)X

5117

864 2676(D2.)N

5118

1064(There)X

5119

1277(is)X

5120

1355(a)X

5121

1416(match)X

5122

1637(of)X

5123

1730(the)X

5124

1854(\256rst)X

5125

2 f

5126

2004(i)X

5127

9 f

5128

2039(-)X

5129

1 f

5130

2083(1)X

5131

2149(characters)X

5132

2502(up)X

5133

2608(to)X

5134

2 f

5135

2696(t)X

5136

7 s

5137

2722 2692(j)N

5138

1 f

5139

10 s

5140

2770 2676(with)N

5141

2938(one)X

5142

3080(deletion)X

5143

2 f

5144

3364(and)X

5145

3510(t)X

5146

7 s

5147

3536 2692(j)N

5148

9 f

5149

3561(+)X

5150

1 f

5151

3592(1)X

5152

2 f

5153

10 s

5154

9 f

5155

3639 2676(=)N

5156

2 f

5157

3696(p)X

5158

7 s

5159

2692(i)Y

5160

1 f

5161

10 s

5162

3758 2676(.)N

5163

3824(In)X

5164

3917(this)X

5165

1064 2796(case,)N

5166

1243(the)X

5167

1361(deletion)X

5168

1639(is)X

5169

1712(somewhere)X

5170

2098(inside)X

5171

2309(the)X

5172

2427(pattern)X

5173

2670(and)X

5174

2806(not)X

5175

2928(at)X

5176

3006(the)X

5177

3124(end.)X

5178

864 2949(Case)N

5179

1040(D2)X

5180

1158(is)X

5181

1231(handled)X

5182

1505(as)X

5183

1592(before)X

5184

1818(\(it)X

5185

1909(is)X

5186

1983(exactly)X

5187

2236(the)X

5188

2355(same\),)X

5189

2588(and)X

5190

2725(case)X

5191

2885(D1)X

5192

3004(is)X

5193

3078(handled)X

5194

3353(by)X

5195

3454(a)X

5196

3511(right)X

5197

3683(shift)X

5198

3846(of)X

5199

3934(the)X

5200

864 3069(new)N

5201

1018(value)X

5202

1212(of)X

5203

2 f

5204

1299(R)X

5205

7 s

5206

1352 3085(j)N

5207

9 f

5208

1377(+)X

5209

1 f

5210

1408(1)X

5211

10 s

5212

1442 3069(.)N

5213

1064 3222(Finally)N

5214

1310(let's)X

5215

1468(consider)X

5216

1760(a)X

5217

1816(substitution.)X

5218

2248(That)X

5219

2415(is,)X

5220

2508(we)X

5221

2622(allow)X

5222

2821(replacing)X

5223

3141(one)X

5224

3278(character)X

5225

3595(of)X

5226

2 f

5227

3683(P)X

5228

1 f

5229

3753(with)X

5230

3916(one)X

5231

864 3342(character)N

5232

1191(of)X

5233

2 f

5234

1289(T)X

5235

1 f

5236

1333(.)X

5237

1404(\(We)X

5238

1574(can)X

5239

1717(achieve)X

5240

1994(substitution)X

5241

2397(with)X

5242

2570(one)X

5243

2717(deletion)X

5244

3006(and)X

5245

3153(one)X

5246

3300(insertion,)X

5247

3630(but)X

5248

3762(in)X

5249

3854(many)X

5250

864 3462(cases)N

5251

1054(we)X

5252

1168(want)X

5253

1344(substitution)X

5254

1736(to)X

5255

1818(count)X

5256

2016(as)X

5257

2103(only)X

5258

2265(one)X

5259

2401(error.\))X

5260

2645(We)X

5261

2777(again)X

5262

2971(have)X

5263

3143(two)X

5264

3283(cases:)X

5265

864 3615(S1.)N

5266

1064(There)X

5267

1276(is)X

5268

1353(an)X

5269

1453(exact)X

5270

1647(match)X

5271

1867(of)X

5272

1958(the)X

5273

2080(\256rst)X

5274

2 f

5275

2228(i)X

5276

9 f

5277

2263(-)X

5278

1 f

5279

2307(1)X

5280

2371(characters)X

5281

2723(up)X

5282

2828(to)X

5283

2 f

5284

2915(t)X

5285

7 s

5286

2941 3631(j)N

5287

1 f

5288

10 s

5289

2988 3615(This)N

5290

3155(case)X

5291

3319(corresponds)X

5292

3732(to)X

5293

3819(substi-)X

5294

1064 3735(tuting)N

5295

2 f

5296

1273(t)X

5297

7 s

5298

1299 3751(j)N

5299

9 f

5300

1324(+)X

5301

1 f

5302

1355(1)X

5303

10 s

5304

1412 3735(with)N

5305

2 f

5306

1577(p)X

5307

7 s

5308

3751(i)Y

5309

1 f

5310

10 s

5311

1662 3735(\(whether)N

5312

1971(or)X

5313

2061(not)X

5314

2186(they)X

5315

2347(are)X

5316

2469(equal)X

5317

2666(\320)X

5318

2769(the)X

5319

2890(equality)X

5320

3171(will)X

5321

3318(be)X

5322

3417(indicated)X

5323

3734(in)X

5324

2 f

5325

3818(R)X

5326

1 f

5327

3867(\))X

5328

3916(and)X

5329

1064 3855(matching)N

5330

1382(the)X

5331

1500(\256rst)X

5332

2 f

5333

1644(i)X

5334

9 f

5335

1679(-)X

5336

1 f

5337

1723(1)X

5338

1783(characters.)X

5339

864 4008(S2.)N

5340

1064(There)X

5341

1279(is)X

5342

1359(a)X

5343

1422(match)X

5344

1645(of)X

5345

1739(the)X

5346

1864(\256rst)X

5347

2 f

5348

2015(i)X

5349

9 f

5350

2050(-)X

5351

1 f

5352

2094(1)X

5353

2161(characters)X

5354

2515(up)X

5355

2622(to)X

5356

2 f

5357

2711(t)X

5358

7 s

5359

2737 4024(j)N

5360

1 f

5361

10 s

5362

2787 4008(with)N

5363

2957(one)X

5364

3101(substitution)X

5365

2 f

5366

3501(and)X

5367

3649(t)X

5368

7 s

5369

3675 4024(j)N

5370

9 f

5371

3700(+)X

5372

1 f

5373

3731(1)X

5374

2 f

5375

10 s

5376

9 f

5377

3778 4008(=)N

5378

2 f

5379

3835(p)X

5380

7 s

5381

4024(i)Y

5382

1 f

5383

10 s

5384

3897 4008(.)N

5385

3965(In)X

5386

1064 4128(this)N

5387

1199(case,)X

5388

1378(the)X

5389

1496(substitution)X

5390

1888(is)X

5391

1961(somewhere)X

5392

2347(inside)X

5393

2558(the)X

5394

2676(pattern)X

5395

2919(and)X

5396

3055(not)X

5397

3177(at)X

5398

3255(the)X

5399

3373(end.)X

5400

1036 4464(a)N

5401

1152(a)X

5402

1267(b)X

5403

1382(a)X

5404

1497(a)X

5405

1612(c)X

5406

1728(a)X

5407

1843(a)X

5408

1958(b)X

5409

2073(a)X

5410

2188(c)X

5411

2304(a)X

5412

2419(b)X

5413

2764(a)X

5414

2880(a)X

5415

2995(b)X

5416

3110(a)X

5417

3225(a)X

5418

3340(c)X

5419

3456(a)X

5420

3571(a)X

5421

3686(b)X

5422

3801(a)X

5423

3916(c)X

5424

4032(a)X

5425

4147(b)X

5426

864 4584(a)N

5427

1036(1)X

5428

1152(1)X

5429

1267(0)X

5430

1382(1)X

5431

1497(1)X

5432

1612(0)X

5433

1728(1)X

5434

1843(1)X

5435

1958(0)X

5436

2073(1)X

5437

2188(0)X

5438

2304(1)X

5439

2419(0)X

5440

2649(a)X

5441

2764(1)X

5442

2880(1)X

5443

2995(1)X

5444

3110(1)X

5445

3225(1)X

5446

3340(1)X

5447

3456(1)X

5448

3571(1)X

5449

3686(1)X

5450

3801(1)X

5451

3916(1)X

5452

4032(1)X

5453

4147(1)X

5454

864 4704(a)N

5455

1036(0)X

5456

1152(1)X

5457

1267(0)X

5458

1382(0)X

5459

1497(1)X

5460

1612(0)X

5461

1728(0)X

5462

1843(1)X

5463

1958(0)X

5464

2073(0)X

5465

2188(0)X

5466

2304(0)X

5467

2419(0)X

5468

2649(a)X

5469

2764(0)X

5470

2880(1)X

5471

2995(1)X

5472

3110(1)X

5473

3225(1)X

5474

3340(1)X

5475

3456(1)X

5476

3571(1)X

5477

3686(1)X

5478

3801(1)X

5479

3916(0)X

5480

4032(0)X

5481

4147(0)X

5482

864 4824(b)N

5483

1036(0)X

5484

1152(0)X

5485

1267(1)X

5486

1382(0)X

5487

1497(0)X

5488

1612(0)X

5489

1728(0)X

5490

1843(0)X

5491

1958(1)X

5492

2073(0)X

5493

2188(0)X

5494

2304(0)X

5495

2419(0)X

5496

2649(b)X

5497

2764(0)X

5498

2880(0)X

5499

2995(1)X

5500

3110(1)X

5501

3225(0)X

5502

3340(0)X

5503

3456(0)X

5504

3571(0)X

5505

3686(1)X

5506

3801(1)X

5507

3916(0)X

5508

4032(0)X

5509

4147(0)X

5510

864 4944(a)N

5511

1036(0)X

5512

1152(0)X

5513

1267(0)X

5514

1382(1)X

5515

1497(0)X

5516

1612(0)X

5517

1728(0)X

5518

1843(0)X

5519

1958(0)X

5520

2073(1)X

5521

2188(0)X

5522

2304(0)X

5523

2419(0)X

5524

2649(a)X

5525

2764(0)X

5526

2880(0)X

5527

2995(0)X

5528

3110(1)X

5529

3225(1)X

5530

3340(0)X

5531

3456(0)X

5532

3571(0)X

5533

3686(0)X

5534

3801(1)X

5535

3916(1)X

5536

4032(0)X

5537

4147(0)X

5538

864 5064(c)N

5539

1036(0)X

5540

1152(0)X

5541

1267(0)X

5542

1382(0)X

5543

1497(0)X

5544

1612(0)X

5545

1728(0)X

5546

1843(0)X

5547

1958(0)X

5548

2073(0)X

5549

2188(1)X

5550

2304(0)X

5551

2419(0)X

5552

2649(c)X

5553

2764(0)X

5554

2880(0)X

5555

2995(0)X

5556

3110(0)X

5557

3225(0)X

5558

3340(0)X

5559

3456(0)X

5560

3571(0)X

5561

3686(0)X

5562

3801(0)X

5563

3916(1)X

5564

4032(1)X

5565

4147(0)X

5566

2 f

5567

1728 5248(R)N

5568

3456(R)X

5569

1 f

5570

7 s

5571

3514 5216(1)N

5572

10 s

5573

1352 5464(Figure)N

5574

1581(2:)X

5575

1683(An)X

5576

1801(example)X

5577

2093(for)X

5578

2207(approximate)X

5579

2628(matching)X

5580

2946(with)X

5581

3108(one)X

5582

3244(insertion.)X

5583

5584

6 p

5585

%%Page: 6 7

5586

10 s 10 xH 0 xS 1 f

5587

3 f

5588

2428 696(6)N

5589

1 f

5590

864 984(Case)N

5591

1047(S2)X

5592

1158(is)X

5593

1238(again)X

5594

1439(the)X

5595

1564(same.)X

5596

1796(Case)X

5597

1979(S1)X

5598

2090(corresponds)X

5599

2505(to)X

5600

2594(looking)X

5601

2865(at)X

5602

2 f

5603

2950(R)X

5604

7 s

5605

3003 1000(j)N

5606

1 f

5607

10 s

5608

3025 984([)N

5609

2 f

5610

3052(i)X

5611

9 f

5612

3087(-)X

5613

1 f

5614

3131(1])X

5615

3225(as)X

5616

3319(opposed)X

5617

3613(to)X

5618

3702(looking)X

5619

3974(at)X

5620

2 f

5621

864 1104(R)N

5622

7 s

5623

917 1120(j)N

5624

9 f

5625

942(+)X

5626

1 f

5627

973(1)X

5628

10 s

5629

1007 1104([)N

5630

2 f

5631

1034(i)X

5632

9 f

5633

1069(-)X

5634

1 f

5635

1113(1])X

5636

1200(in)X

5637

1282(case)X

5638

1441(D1.)X

5639

1599(Still)X

5640

1751(very)X

5641

1914(few)X

5642

2055(operations)X

5643

2409(cover)X

5644

2608(one)X

5645

2744(substitution)X

5646

3136(as)X

5647

3223(well.)X

5648

1064 1257(We)N

5649

1207(are)X

5650

1337(now)X

5651

1506(ready)X

5652

1716(to)X

5653

1809(consider)X

5654

2112(the)X

5655

2241(general)X

5656

2509(case)X

5657

2679(of)X

5658

2777(up)X

5659

2888(to)X

5660

2 f

5661

2981(k)X

5662

1 f

5663

3048(errors,)X

5664

3287(where)X

5665

3515(an)X

5666

3623(error)X

5667

3812(can)X

5668

3956(be)X

5669

864 1377(either)N

5670

1079(an)X

5671

1187(insertion,)X

5672

1519(a)X

5673

1587(deletion,)X

5674

1897(or)X

5675

1996(a)X

5676

2064(substitution)X

5677

2468(\(the)X

5678

2625(Levenshtein)X

5679

3049(or)X

5680

3147(the)X

5681

3276(edit-distance)X

5682

3717(measure\).)X

5683

864 1497(Overall,)N

5684

1154(instead)X

5685

1410(of)X

5686

1506(one)X

5687

1651(additional)X

5688

2 f

5689

2000(R)X

5690

1 f

5691

7 s

5692

2058 1465(1)N

5693

10 s

5694

2121 1497(array,)N

5695

2336(we)X

5696

2459(will)X

5697

2612(maintain)X

5698

2 f

5699

2921(k)X

5700

1 f

5701

2986(additional)X

5702

3335(arrays)X

5703

2 f

5704

3562(R)X

5705

1 f

5706

7 s

5707

3620 1465(1)N

5708

10 s

5709

3654 1497(,)N

5710

2 f

5711

3693(R)X

5712

1 f

5713

7 s

5714

3751 1465(2)N

5715

10 s

5716

3785 1497(,)N

5717

2 f

5718

3824(...)X

5719

1 f

5720

(,)S

5721

2 f

5722

3923(R)X

5723

7 s

5724

3981 1465(k)N

5725

1 f

5726

10 s

5727

4012 1497(,)N

5728

864 1617(such)N

5729

1034(that)X

5730

1177(array)X

5731

2 f

5732

1366(R)X

5733

7 s

5734

1424 1585(d)N

5735

1 f

5736

10 s

5737

1481 1617(stores)N

5738

1691(all)X

5739

1794(possible)X

5740

2078(matches)X

5741

2363(with)X

5742

2527(up)X

5743

2629(to)X

5744

2 f

5745

2713(d)X

5746

1 f

5747

2775(errors.)X

5748

3025(We)X

5749

3159(need)X

5750

3333(to)X

5751

3417(determine)X

5752

3760(the)X

5753

3880(tran-)X

5754

864 1737(sition)N

5755

1065(from)X

5756

1245(array)X

5757

2 f

5758

1436(R)X

5759

7 s

5760

1493 1753(j)N

5761

1489 1705(d)N

5762

1 f

5763

10 s

5764

1548 1737(to)N

5765

2 f

5766

1635(R)X

5767

7 s

5768

1692 1753(j)N

5769

9 f

5770

1717(+)X

5771

1 f

5772

1748(1)X

5773

2 f

5774

1688 1705(d)N

5775

1 f

5776

10 s

5777

1782 1737(.)N

5778

1847(There)X

5779

2060(are)X

5780

2184(4)X

5781

2249(possibilities)X

5782

2655(for)X

5783

2774(obtaining)X

5784

3101(a)X

5785

3162(match)X

5786

3383(of)X

5787

3475(the)X

5788

3598(\256rst)X

5789

2 f

5790

3747(i)X

5791

1 f

5792

3794(charac-)X

5793

864 1857(ters)N

5794

1000(with)X

5795

2 f

5796

9 f

5797

1175(\243)X

5798

2 f

5799

1232(d)X

5800

1 f

5801

1292(errors)X

5802

1500(up)X

5803

1600(to)X

5804

2 f

5805

1682(t)X

5806

7 s

5807

1708 1873(j)N

5808

9 f

5809

1733(+)X

5810

1 f

5811

1764(1)X

5812

10 s

5813

1798 1857(:)N

5814

864 2010(1.)N

5815

1064(There)X

5816

1277(is)X

5817

1355(a)X

5818

1416(match)X

5819

1638(of)X

5820

1731(the)X

5821

1855(\256rst)X

5822

2 f

5823

2005(i)X

5824

9 f

5825

2040(-)X

5826

1 f

5827

2084(1)X

5828

2150(characters)X

5829

2503(with)X

5830

2 f

5831

9 f

5832

2684(\243)X

5833

2 f

5834

2741(d)X

5835

1 f

5836

2807(errors)X

5837

3021(up)X

5838

3127(to)X

5839

2 f

5840

3215(t)X

5841

7 s

5842

3241 2026(j)N

5843

1 f

5844

10 s

5845

3289 2010(and)N

5846

2 f

5847

3431(t)X

5848

7 s

5849

3457 2026(j)N

5850

9 f

5851

3482(+)X

5852

1 f

5853

3513(1)X

5854

2 f

5855

10 s

5856

9 f

5857

3560 2010(=)N

5858

2 f

5859

3617(p)X

5860

7 s

5861

2026(i)Y

5862

1 f

5863

10 s

5864

3679 2010(.)N

5865

3725(This)X

5866

3893(case)X

5867

1064 2130(corresponds)N

5868

1472(to)X

5869

1554(matching)X

5870

2 f

5871

1872(t)X

5872

7 s

5873

1898 2146(j)N

5874

9 f

5875

1923(+)X

5876

1 f

5877

1954(1)X

5878

10 s

5879

1988 2130(.)N

5880

864 2283(2.)N

5881

1064(There)X

5882

1272(is)X

5883

1345(a)X

5884

1401(match)X

5885

1617(of)X

5886

1704(the)X

5887

1822(\256rst)X

5888

2 f

5889

1966(i)X

5890

9 f

5891

2001(-)X

5892

1 f

5893

2045(1)X

5894

2105(characters)X

5895

2452(with)X

5896

2 f

5897

9 f

5898

2627(\243)X

5899

2 f

5900

2684(d)X

5901

9 f

5902

2737(-)X

5903

1 f

5904

2781(1)X

5905

2841(errors)X

5906

3049(up)X

5907

3149(to)X

5908

2 f

5909

3232(t)X

5910

7 s

5911

3258 2299(j)N

5912

1 f

5913

10 s

5914

3280 2283(.)N

5915

3321(This)X

5916

3484(case)X

5917

3644(corresponds)X

5918

1064 2403(to)N

5919

1146(substituting)X

5920

2 f

5921

1538(t)X

5922

7 s

5923

1564 2419(j)N

5924

9 f

5925

1589(+)X

5926

1 f

5927

1620(1)X

5928

10 s

5929

1654 2403(.)N

5930

864 2556(3.)N

5931

1064(There)X

5932

1293(is)X

5933

1387(a)X

5934

1464(match)X

5935

1701(of)X

5936

1809(the)X

5937

1948(\256rst)X

5938

2 f

5939

2113(i)X

5940

9 f

5941

2148(-)X

5942

1 f

5943

2192(1)X

5944

2273(characters)X

5945

2642(with)X

5946

2 f

5947

9 f

5948

2839(\243)X

5949

2 f

5950

2896(d)X

5951

9 f

5952

2949(-)X

5953

1 f

5954

2993(1)X

5955

3075(errors)X

5956

3305(up)X

5957

3427(to)X

5958

2 f

5959

3531(t)X

5960

7 s

5961

3557 2572(j)N

5962

9 f

5963

3582(+)X

5964

1 f

5965

3613(1)X

5966

10 s

5967

3647 2556(.)N

5968

3709(This)X

5969

3893(case)X

5970

1064 2676(corresponds)N

5971

1472(to)X

5972

1554(deleting)X

5973

2 f

5974

1832(p)X

5975

7 s

5976

2692(i)Y

5977

1 f

5978

10 s

5979

1894 2676(.)N

5980

864 2829(4.)N

5981

1064(There)X

5982

1273(is)X

5983

1347(a)X

5984

1404(match)X

5985

1621(of)X

5986

1709(the)X

5987

1828(\256rst)X

5988

2 f

5989

1973(i)X

5990

1 f

5991

2016(characters)X

5992

2364(with)X

5993

2 f

5994

9 f

5995

2540(\243)X

5996

2 f

5997

2597(d)X

5998

9 f

5999

2650(-)X

6000

1 f

6001

2694(1)X

6002

2755(errors)X

6003

2964(up)X

6004

3065(to)X

6005

2 f

6006

3148(t)X

6007

7 s

6008

3174 2845(j)N

6009

1 f

6010

10 s

6011

3196 2829(.)N

6012

3237(This)X

6013

3400(case)X

6014

3560(corresponds)X

6015

3970(to)X

6016

1064 2949(inserting)N

6017

2 f

6018

1364(t)X

6019

7 s

6020

1390 2965(j)N

6021

9 f

6022

1415(+)X

6023

1 f

6024

1446(1)X

6025

10 s

6026

1480 2949(.)N

6027

864 3102(Let's)N

6028

1057(denote)X

6029

2 f

6030

1300(R)X

6031

1 f

6032

1378(as)X

6033

2 f

6034

1474(R)X

6035

1 f

6036

7 s

6037

1532 3070(0)N

6038

10 s

6039

1566 3102(,)N

6040

1615(and)X

6041

1760(assume)X

6042

2025(that)X

6043

2 f

6044

2174(t)X

6045

7 s

6046

2200 3118(j)N

6047

9 f

6048

2225(+)X

6049

1 f

6050

2256(1)X

6051

10 s

6052

2 f

6053

9 f

6054

2310 3102(=)N

6055

1 f

6056

2 f

6057

2374(s)X

6058

7 s

6059

2405 3118(c)N

6060

1 f

6061

10 s

6062

2436 3102(.)N

6063

2505(Overall,)X

6064

2795(we)X

6065

2918(have)X

6066

3099(the)X

6067

3226(following)X

6068

3566(expression)X

6069

3938(for)X

6070

2 f

6071

864 3222(R)N

6072

7 s

6073

921 3238(j)N

6074

9 f

6075

946(+)X

6076

1 f

6077

977(1)X

6078

2 f

6079

917 3190(d)N

6080

1 f

6081

10 s

6082

1011 3222(:)N

6083

2 f

6084

1024 3390(R)N

6085

1 f

6086

7 s

6087

1077 3406(0)N

6088

2 f

6089

1077 3358(d)N

6090

10 s

6091

9 f

6092

1157 3390(=)N

6093

1 f

6094

1241(11..100...000)X

6095

2 f

6096

1701(d)X

6097

1 f

6098

1767(ones)X

6099

2 f

6100

1914(.)X

6101

1024 3606(R)N

6102

7 s

6103

1081 3622(j)N

6104

9 f

6105

1106(+)X

6106

1 f

6107

1137(1)X

6108

2 f

6109

1077 3574(d)N

6110

10 s

6111

9 f

6112

1217 3606(=)N

6113

2 f

6114

1301(Rshift)X

6115

1 f

6116

1493([)X

6117

2 f

6118

1520(R)X

6119

7 s

6120

1577 3622(j)N

6121

1573 3574(d)N

6122

1 f

6123

10 s

6124

1607 3606(])N

6125

1654(AND)X

6126

2 f

6127

1848(S)X

6128

7 s

6129

3622(c)Y

6130

1 f

6131

10 s

6132

1939 3606(OR)N

6133

2 f

6134

2070(Rshift)X

6135

1 f

6136

2262([)X

6137

2 f

6138

2289(R)X

6139

7 s

6140

2346 3622(j)N

6141

2342 3574(d)N

6142

9 f

6143

2379(-)X

6144

1 f

6145

2410(1)X

6146

10 s

6147

2444 3606(])N

6148

2491(OR)X

6149

2 f

6150

2622(Rshift)X

6151

1 f

6152

2814([)X

6153

2 f

6154

2841(R)X

6155

7 s

6156

2898 3622(j)N

6157

9 f

6158

2923(+)X

6159

1 f

6160

2954(1)X

6161

2 f

6162

2894 3574(d)N

6163

9 f

6164

2931(-)X

6165

1 f

6166

2962(1)X

6167

10 s

6168

3002 3606(])N

6169

3049(OR)X

6170

2 f

6171

3180(R)X

6172

7 s

6173

3237 3622(j)N

6174

3233 3574(d)N

6175

9 f

6176

3270(-)X

6177

1 f

6178

3301(1)X

6179

10 s

6180

3878 3822($2.1$)N

6181

2 f

6182

9 f

6183

1177(=)X

6184

2 f

6185

1261(Rshift)X

6186

1 f

6187

1453([)X

6188

2 f

6189

1480(R)X

6190

7 s

6191

1537 3838(j)N

6192

1533 3790(d)N

6193

1 f

6194

10 s

6195

1567 3822(])N

6196

1614(AND)X

6197

2 f

6198

1808(S)X

6199

7 s

6200

3838(c)Y

6201

1 f

6202

10 s

6203

1899 3822(OR)N

6204

2 f

6205

2030(Rshift)X

6206

1 f

6207

2222([)X

6208

2 f

6209

2249(R)X

6210

7 s

6211

2306 3838(j)N

6212

2302 3790(d)N

6213

9 f

6214

2339(-)X

6215

1 f

6216

2370(1)X

6217

10 s

6218

2424 3822(OR)N

6219

2 f

6220

2555(R)X

6221

7 s

6222

2612 3838(j)N

6223

9 f

6224

2637(+)X

6225

1 f

6226

2668(1)X

6227

2 f

6228

2608 3790(d)N

6229

9 f

6230

2645(-)X

6231

1 f

6232

2676(1)X

6233

10 s

6234

2716 3822(])N

6235

2763(OR)X

6236

2 f

6237

2894(R)X

6238

7 s

6239

2951 3838(j)N

6240

2947 3790(d)N

6241

9 f

6242

2984(-)X

6243

1 f

6244

3015(1.)X

6245

10 s

6246

864 3990(Overall,)N

6247

1157(we)X

6248

1283(have)X

6249

1467(a)X

6250

1535(total)X

6251

1709(of)X

6252

1808(two)X

6253

1960(shifts,)X

6254

2185(one)X

6255

2333(AND,)X

6256

2559(and)X

6257

2707(three)X

6258

2900(ORs)X

6259

3074(for)X

6260

3200(each)X

6261

2 f

6262

3381(R)X

6263

7 s

6264

3439 3958(d)N

6265

1 f

6266

10 s

6267

3473 3990(.)N

6268

3546(There)X

6269

3767(are)X

6270

2 f

6271

3899(k)X

6272

9 f

6273

3948(+)X

6274

1 f

6275

3992(1)X

6276

864 4110(arrays,)N

6277

1103(so)X

6278

1196(the)X

6279

1316(total)X

6280

1480(amount)X

6281

1742(of)X

6282

1831(work)X

6283

2018(is)X

6284

2 f

6285

2093(O)X

6286

1 f

6287

2164(\(\()X

6288

2 f

6289

2218(k)X

6290

9 f

6291

2267(+)X

6292

1 f

6293

2311(1\))X

6294

2 f

6295

2378(n)X

6296

1 f

6297

2424(\).)X

6298

2513(An)X

6299

2633(important)X

6300

2966(feature)X

6301

3212(of)X

6302

3301(this)X

6303

3438(algorithm)X

6304

3771(is)X

6305

3846(that)X

6306

3988(it)X

6307

864 4230(can)N

6308

1002(be)X

6309

1104(relatively)X

6310

1433(easily)X

6311

1646(extended)X

6312

1962(to)X

6313

2050(several)X

6314

2304(more)X

6315

2495(complicated)X

6316

2913(patterns.)X

6317

3234(This)X

6318

3403(is)X

6319

3483(the)X

6320

3608(topic)X

6321

3795(of)X

6322

3889(Sec-)X

6323

864 4350(tion)N

6324

1008(3.)X

6325

6 f

6326

12 s

6327

864 4590(2.3.)N

6328

1078(An)X

6329

1233(Improvement)X

6330

1862(to)X

6331

1980(the)X

6332

2151(Main)X

6333

2397(Algorithm)X

6334

1 f

6335

10 s

6336

864 4743(If)N

6337

941(the)X

6338

1062(number)X

6339

1330(of)X

6340

1420(errors)X

6341

1631(is)X

6342

1707(small)X

6343

1903(compared)X

6344

2243(to)X

6345

2328(the)X

6346

2449(size)X

6347

2597(of)X

6348

2687(the)X

6349

2808(pattern,)X

6350

3074(then)X

6351

3235(we)X

6352

3352(can)X

6353

3487(improve)X

6354

3777(the)X

6355

3898(run-)X

6356

864 4863(ning)N

6357

1030(time)X

6358

1196(sometimes)X

6359

1562(by)X

6360

1666(what)X

6361

1846(we)X

6362

1964(call)X

6363

2 f

6364

2104(the)X

6365

2226(partition)X

6366

2529(approach)X

6367

1 f

6368

2836(.)X

6369

2900(Suppose)X

6370

3195(again)X

6371

3393(that)X

6372

3537(the)X

6373

3659(pattern)X

6374

2 f

6375

3906(P)X

6376

1 f

6377

3979(is)X

6378

864 5015(of)N

6379

951(size)X

6380

2 f

6381

1096(m)X

6382

1 f

6383

1174(and)X

6384

1310(that)X

6385

1450(at)X

6386

1528(most)X

6387

2 f

6388

1703(k)X

6389

1 f

6390

1759(errors)X

6391

1967(are)X

6392

2086(allowed.)X

6393

2400(Let)X

6394

2 f

6395

2527(r)X

6396

1 f

6397

2 f

6398

9 f

6399

2584(=)X

6400

1 f

6401

2 f

6402

10 f

6403

2648(Q)X

6404

2 f

6405

2701 5071(k)N

6406

9 f

6407

2750(+)X

6408

1 f

6409

2794(1)X

6410

2 f

6411

2739 4967(m)N

6412

1 f

6413

10 f

6414

2690 4991(hhhh)N

6415

2 f

6416

10 f

6417

2868 5015(P)N

6418

1 f

6419

(,)S

6420

2928(and)X

6421

3064(let)X

6422

2 f

6423

3164(P)X

6424

1 f

6425

7 s

6426

3222 5031(1)N

6427

10 s

6428

3256 5015(,)N

6429

2 f

6430

3295(P)X

6431

1 f

6432

7 s

6433

3353 5031(2)N

6434

10 s

6435

3387 5015(,)N

6436

2 f

6437

3426(...)X

6438

1 f

6439

(,)S

6440

2 f

6441

3525(P)X

6442

7 s

6443

3574 5031(k)N

6444

9 f

6445

3608(+)X

6446

1 f

6447

3639(1)X

6448

10 s

6449

3693 5015(be)N

6450

3789(the)X

6451

3908(\256rst)X

6452

2 f

6453

864 5175(k)N

6454

9 f

6455

913(+)X

6456

1 f

6457

957(1)X

6458

1022(blocks)X

6459

1256(of)X

6460

2 f

6461

1347(P)X

6462

1 f

6463

1420(each)X

6464

1592(of)X

6465

1683(size)X

6466

2 f

6467

1832(r)X

6468

1 f

6469

1863(.)X

6470

1927(In)X

6471

2018(other)X

6472

2207(words,)X

6473

2 f

6474

2447(P)X

6475

1 f

6476

7 s

6477

2505 5191(1)N

6478

10 s

6479

2 f

6480

9 f

6481

2559 5175(=)N

6482

1 f

6483

2 f

6484

2623(p)X

6485

1 f

6486

7 s

6487

2672 5191(1)N

6488

2 f

6489

10 s

6490

2706 5175(p)N

6491

1 f

6492

7 s

6493

2755 5191(2)N

6494

10 s

6495

2822 5151(.)N

6496

2862(.)X

6497

2902(.)X

6498

2 f

6499

2955 5175(p)N

6500

7 s

6501

5191(r)Y

6502

1 f

6503

10 s

6504

3023 5175(,)N

6505

3067(...,)X

6506

2 f

6507

3171(P)X

6508

7 s

6509

3224 5191(j)N

6510

10 s

6511

9 f

6512

3259 5175(=)N

6513

2 f

6514

3316(p)X

6515

1 f

6516

7 s

6517

3365 5191(\()N

6518

2 f

6519

3388(j)X

6520

9 f

6521

3413(-)X

6522

1 f

6523

3444(1\))X

6524

2 f

6525

3491(r)X

6526

9 f

6527

3522(+)X

6528

1 f

6529

3553(1)X

6530

10 s

6531

3620 5151(.)N

6532

3660(.)X

6533

3700(.)X

6534

2 f

6535

3753 5175(p)N

6536

7 s

6537

3797 5191(jr)N

6538

1 f

6539

10 s

6540

3841 5175(.)N

6541

3905(If)X

6542

2 f

6543

3983(P)X

6544

1 f

6545

864 5295(matches)N

6546

1153(the)X

6547

1277(text)X

6548

1423(with)X

6549

1592(at)X

6550

1677(most)X

6551

2 f

6552

1859(k)X

6553

1 f

6554

1922(errors,)X

6555

2157(then)X

6556

2322(at)X

6557

2407(least)X

6558

2581(one)X

6559

2724(of)X

6560

2818(the)X

6561

2 f

6562

2943(P)X

6563

7 s

6564

2996 5311(j)N

6565

1 f

6566

10 s

6567

3018 5295('s)N

6568

3103(must)X

6569

3285(match)X

6570

3508(the)X

6571

3633(text)X

6572

3780(exactly.)X

6573

864 5415(We)N

6574

998(can)X

6575

1132(search)X

6576

1360(for)X

6577

1476(all)X

6578

2 f

6579

1578(P)X

6580

7 s

6581

1631 5431(j)N

6582

1 f

6583

10 s

6584

1653 5415('s)N

6585

1733(at)X

6586

1813(the)X

6587

1933(same)X

6588

2120(time)X

6589

2284(\(we)X

6590

2427(discuss)X

6591

2680(how)X

6592

2840(to)X

6593

2923(do)X

6594

3024(that)X

6595

3165(in)X

6596

3248(the)X

6597

3367(next)X

6598

3526(paragraph\))X

6599

3896(and,)X

6600

864 5535(if)N

6601

941(one)X

6602

1085(of)X

6603

1180(them)X

6604

1368(matches,)X

6605

1679(then)X

6606

1845(we)X

6607

1967(check)X

6608

2183(the)X

6609

2309(whole)X

6610

2533(pattern)X

6611

2784(directly)X

6612

3057(\(using)X

6613

3286(the)X

6614

3413(scheme)X

6615

3683(in)X

6616

3774(2.2\))X

6617

3930(but)X

6618

864 5655(only)N

6619

1028(within)X

6620

1254(a)X

6621

1312(neighborhood)X

6622

1779(of)X

6623

1868(size)X

6624

2 f

6625

2015(m)X

6626

1 f

6627

2095(from)X

6628

2273(the)X

6629

2393(position)X

6630

2672(of)X

6631

2761(the)X

6632

2881(match.)X

6633

3139(Since)X

6634

3339(we)X

6635

3455(are)X

6636

3576(looking)X

6637

3841(for)X

6638

3956(an)X

6639

6640

7 p

6641

%%Page: 7 8

6642

10 s 10 xH 0 xS 1 f

6643

3 f

6644

2428 696(7)N

6645

1 f

6646

864 984(exact)N

6647

1057(match,)X

6648

1296(there)X

6649

1480(is)X

6650

1556(no)X

6651

1659(need)X

6652

1834(to)X

6653

1919(maintain)X

6654

2222(all)X

6655

2 f

6656

2326(k)X

6657

1 f

6658

2386(of)X

6659

2477(the)X

6660

2 f

6661

2599(R)X

6662

7 s

6663

2657 952(d)N

6664

1 f

6665

10 s

6666

2715 984(vectors.)N

6667

3011(This)X

6668

3177(scheme)X

6669

3442(will)X

6670

3590(run)X

6671

3721(fast)X

6672

3861(if)X

6673

3934(the)X

6674

864 1104(number)N

6675

1140(of)X

6676

1238(exact)X

6677

1439(matches)X

6678

1733(to)X

6679

1826(any)X

6680

1972(one)X

6681

2118(of)X

6682

2215(the)X

6683

2 f

6684

2343(P)X

6685

7 s

6686

2396 1120(j)N

6687

1 f

6688

10 s

6689

2418 1104('s)N

6690

2506(is)X

6691

2589(not)X

6692

2721(too)X

6693

2853(high.)X

6694

3065(The)X

6695

3220(number)X

6696

3495(of)X

6697

3592(such)X

6698

3769(matches)X

6699

864 1224(depend)N

6700

1119(on)X

6701

1222(many)X

6702

1423(factors)X

6703

1665(including)X

6704

1990(the)X

6705

2111(size)X

6706

2259(of)X

6707

2349(the)X

6708

2470(alphabet,)X

6709

2785(the)X

6710

2906(actual)X

6711

3121(text,)X

6712

3284(and)X

6713

3423(the)X

6714

3544(values)X

6715

3772(of)X

6716

2 f

6717

3862(r)X

6718

1 f

6719

3916(and)X

6720

2 f

6721

864 1344(m)N

6722

1 f

6723

922(.)X

6724

985(For)X

6725

1119(example,)X

6726

1434(if)X

6727

2 f

6728

1506(r)X

6729

9 f

6730

1556(=)X

6731

1 f

6732

1613(1,)X

6733

1696(then)X

6734

1857(we)X

6735

1973(will)X

6736

2119(need)X

6737

2293(to)X

6738

2377(check)X

6739

2587(any)X

6740

2725(time)X

6741

2889(there)X

6742

3072(is)X

6743

3147(a)X

6744

3205(character)X

6745

3523(match,)X

6746

3761(which)X

6747

3979(is)X

6748

864 1464(probably)N

6749

1174(too)X

6750

1301(often.)X

6751

1531(On)X

6752

1654(the)X

6753

1777(other)X

6754

1967(hand,)X

6755

2168(if)X

6756

2 f

6757

2242(r)X

6758

9 f

6759

2292(=)X

6760

1 f

6761

2349(3,)X

6762

2 f

6763

2434(m)X

6764

9 f

6765

2511(=)X

6766

1 f

6767

2568(12)X

6768

2673(\(which)X

6769

2921(implies)X

6770

2 f

6771

3181(k)X

6772

9 f

6773

3236(=)X

6774

1 f

6775

3293(3\),)X

6776

3406(the)X

6777

3530(alphabet)X

6778

3828(size)X

6779

3979(is)X

6780

864 1584(26,)N

6781

990(and)X

6782

1132(the)X

6783

1256(text)X

6784

1402(is)X

6785

1481(uniformly)X

6786

1826(random)X

6787

2096(\(i.e.,)X

6788

2266(each)X

6789

2439(character)X

6790

2760(appears)X

6791

3031(with)X

6792

3198(the)X

6793

3321(same)X

6794

3511(probability\),)X

6795

3934(the)X

6796

864 1704(expected)N

6797

1171(number)X

6798

1437(of)X

6799

1525(matches)X

6800

1809(of)X

6801

1897(any)X

6802

2034(of)X

6803

2123(the)X

6804

2 f

6805

2243(P)X

6806

7 s

6807

2296 1720(j)N

6808

1 f

6809

10 s

6810

2318 1704('s)N

6811

2398(is)X

6812

2473(about)X

6813

2673(0.02%)X

6814

2902(of)X

6815

2991(the)X

6816

3111(time.)X

6817

3315(In)X

6818

3404(this)X

6819

3541(case,)X

6820

3722(it)X

6821

3788(is)X

6822

3863(obvi-)X

6823

864 1824(ously)N

6824

1063(advantageous)X

6825

1525(to)X

6826

1612(search)X

6827

1843(for)X

6828

1962(exact)X

6829

2157(matches)X

6830

2445(and)X

6831

2586(use)X

6832

2718(the)X

6833

2841(approximate)X

6834

3267(scheme)X

6835

3533(only)X

6836

3700(at)X

6837

3783(the)X

6838

3906(rare)X

6839

864 1944(occasions)N

6840

1199(where)X

6841

1419(a)X

6842

1478(match)X

6843

1697(occurs.)X

6844

1970(The)X

6845

2118(running)X

6846

2390(time)X

6847

2555(in)X

6848

2640(this)X

6849

2778(case)X

6850

2940(is)X

6851

3016(essentially)X

6852

3377(the)X

6853

3498(same)X

6854

3686(as)X

6855

3776(the)X

6856

3898(run-)X

6857

864 2064(ning)N

6858

1030(time)X

6859

1196(of)X

6860

1287(a)X

6861

1347(search)X

6862

1576(without)X

6863

1843(errors.)X

6864

2094(Experiments)X

6865

2522(using)X

6866

2718(this)X

6867

2856(partition)X

6868

3150(scheme)X

6869

3414(for)X

6870

3531(different)X

6871

3831(alpha-)X

6872

864 2184(bet)N

6873

982(sizes)X

6874

1158(are)X

6875

1277(given)X

6876

1475(in)X

6877

1557(Section)X

6878

1817(4.)X

6879

1064 2337(The)N

6880

1219(main)X

6881

1409(advantage)X

6882

1765(of)X

6883

1862(this)X

6884

2007(scheme)X

6885

2278(is)X

6886

2361(that)X

6887

2511(the)X

6888

2639(algorithm)X

6889

2980(for)X

6890

3104(exact)X

6891

3304(matching)X

6892

3632(presented)X

6893

3970(in)X

6894

864 2457(Section)N

6895

1125(2.1)X

6896

1246(can)X

6897

1379(be)X

6898

1476(adapted)X

6899

1747(in)X

6900

1830(an)X

6901

1926(elegant)X

6902

2178(way)X

6903

2332(to)X

6904

2414(support)X

6905

2674(it.)X

6906

2778(We)X

6907

2910(illustrate)X

6908

3210(the)X

6909

3328(idea)X

6910

3482(with)X

6911

3644(an)X

6912

3740(example.)X

6913

864 2577(Suppose)N

6914

1171(that)X

6915

1327(the)X

6916

1461(pattern)X

6917

1720(is)X

6918

1809(ABCDEFGHIJKL)X

6919

2441(\()X

6920

2 f

6921

2468(m)X

6922

9 f

6923

2545(=)X

6924

1 f

6925

2602(12\))X

6926

2745(and)X

6927

2 f

6928

2898(k)X

6929

9 f

6930

2953(=)X

6931

1 f

6932

3010(3.)X

6933

3127(We)X

6934

3276(divide)X

6935

3513(the)X

6936

3648(pattern)X

6937

3908(into)X

6938

2 f

6939

864 2697(k)N

6940

9 f

6941

913(+)X

6942

1 f

6943

957(1)X

6944

2 f

6945

9 f

6946

1010(=)X

6947

1 f

6948

1067(4)X

6949

1132(blocks:)X

6950

1388(ABC,)X

6951

1597(DEF,)X

6952

1793(GHI,)X

6953

1981(and)X

6954

2122(JKL.)X

6955

2325(We)X

6956

2462(need)X

6957

2639(to)X

6958

2726(\256nd)X

6959

2875(whether)X

6960

3159(any)X

6961

3300(of)X

6962

3392(them)X

6963

3577(appears)X

6964

3848(in)X

6965

3934(the)X

6966

864 2817(text.)N

6967

1049(We)X

6968

1186(create)X

6969

1404(one)X

6970

1545(combined)X

6971

1886(pattern)X

6972

2134(by)X

6973

2239(interleaving)X

6974

2647(the)X

6975

2771(4)X

6976

2837(blocks:)X

6977

3094(ADGJBEHKCFIL.)X

6978

3756(We)X

6979

3894(then)X

6980

864 2937(build)N

6981

1049(the)X

6982

1168(mask)X

6983

1358(vector)X

6984

2 f

6985

1580(R)X

6986

1 f

6987

1650(as)X

6988

1738(usual)X

6989

1928(for)X

6990

2043(this)X

6991

2179(interleaved)X

6992

2557(pattern)X

6993

2801(\(see)X

6994

2951(Section)X

6995

3211(2.1\).)X

6996

3398(The)X

6997

3543(only)X

6998

3705(difference)X

6999

864 3057(is)N

7000

938(that,)X

7001

1099(instead)X

7002

1347(of)X

7003

1435(shifting)X

7004

1700(by)X

7005

1801(one)X

7006

1938(in)X

7007

2021(each)X

7008

2190(step,)X

7009

2360(we)X

7010

2475(shift)X

7011

2638(by)X

7012

2739(four!)X

7013

2942(There)X

7014

3152(is)X

7015

3227(a)X

7016

3285(match)X

7017

3503(if)X

7018

3574(any)X

7019

3712(of)X

7020

3801(the)X

7021

3921(last)X

7022

864 3177(four)N

7023

1026(bits)X

7024

1169(is)X

7025

1250(1.)X

7026

1358(\(When)X

7027

1605(we)X

7028

1727(shift)X

7029

1897(we)X

7030

2019(need)X

7031

2199(to)X

7032

2289(\256ll)X

7033

2405(the)X

7034

2531(\256rst)X

7035

2683(four)X

7036

2845(positions)X

7037

3161(with)X

7038

3331(1's,)X

7039

3476(or)X

7040

3570(better)X

7041

3780(yet,)X

7042

3925(use)X

7043

864 3297(shift-OR.\))N

7044

1238(Thus,)X

7045

1445(the)X

7046

1570(match)X

7047

1793(for)X

7048

1914(all)X

7049

2021(blocks)X

7050

2257(can)X

7051

2396(be)X

7052

2499(done)X

7053

2682(exactly)X

7054

2941(the)X

7055

3066(same)X

7056

3258(way)X

7057

3419(as)X

7058

3513(regular)X

7059

3769(matches)X

7060

864 3417(and)N

7061

1000(it)X

7062

1064(takes)X

7063

1249(essentially)X

7064

1607(the)X

7065

1725(same)X

7066

1910(running)X

7067

2179(time.)X

7068

6 f

7069

14 s

7070

864 3689(3.)N

7071

1019(Extensions)X

7072

1 f

7073

10 s

7074

864 3842(An)N

7075

984(important)X

7076

1317(feature)X

7077

1563(of)X

7078

1653(our)X

7079

1783(algorithm)X

7080

2117(is)X

7081

2193(its)X

7082

2291(\257exibility.)X

7083

2664(In)X

7084

2754(addition)X

7085

3039(to)X

7086

3124(asking)X

7087

3356(about)X

7088

3557(a)X

7089

3616(single)X

7090

3830(string,)X

7091

864 3962(the)N

7092

994(algorithm)X

7093

1337(supports)X

7094

1640(range)X

7095

1851(of)X

7096

1950(characters)X

7097

2309(\(e.g.,)X

7098

2503(``0-9''\),)X

7099

2796(complements)X

7100

3254(\(e.g.,)X

7101

3448(everything)X

7102

3822(except)X

7103

864 4082(blank\),)N

7104

1110(arbitrary)X

7105

1408(sets)X

7106

1549(of)X

7107

1637(characters)X

7108

1985(\(e.g.,)X

7109

2169({a,e,i,o,u}\),)X

7110

2567(unlimited)X

7111

2894(``wild)X

7112

3111(cards,'')X

7113

3376(and)X

7114

3513(combinations)X

7115

3965(of)X

7116

864 4202(the)N

7117

985(above.)X

7118

1240(Searching)X

7119

1584(for)X

7120

1701(several)X

7121

1952(strings)X

7122

2188(at)X

7123

2269(the)X

7124

2390(same)X

7125

2578(time)X

7126

2743(is)X

7127

2819(also)X

7128

2971(possible,)X

7129

3276(although)X

7130

3578(the)X

7131

3698(size)X

7132

3845(of)X

7133

3934(the)X

7134

864 4322(pattern)N

7135

1107(becomes)X

7136

1408(the)X

7137

1526(sum)X

7138

1679(of)X

7139

1766(the)X

7140

1884(sizes)X

7141

2060(of)X

7142

2147(the)X

7143

2265(different)X

7144

2563(strings)X

7145

2797(\(and)X

7146

2961(might)X

7147

3168(thus)X

7148

3322(require)X

7149

3571(more)X

7150

3757(than)X

7151

3916(one)X

7152

864 4442(word)N

7153

1050(to)X

7154

1133(represent\).)X

7155

1516(The)X

7156

1662(algorithm)X

7157

1994(can)X

7158

2127(be)X

7159

2224(extended)X

7160

2535(to)X

7161

2618(support)X

7162

2879(any)X

7163

3016(regular)X

7164

3265(expression.)X

7165

3669(We)X

7166

3801(discuss)X

7167

864 4562(regular)N

7168

1112(expressions)X

7169

1506(brie\257y)X

7170

1735(in)X

7171

1817(section)X

7172

2064(3.8.)X

7173

6 f

7174

12 s

7175

864 4802(3.1.)N

7176

1078(Sets)X

7177

1307(of)X

7178

1425(Characters)X

7179

1 f

7180

10 s

7181

864 4955(Replacing)N

7182

1213(one)X

7183

1353(character)X

7184

1673(with)X

7185

1839(a)X

7186

1899(set)X

7187

2012(of)X

7188

2103(allowable)X

7189

2439(characters)X

7190

2790(is)X

7191

2867(very)X

7192

3034(easy)X

7193

3202(to)X

7194

3289(achieve)X

7195

3560(with)X

7196

3727(this)X

7197

3867(algo-)X

7198

864 5075(rithm)N

7199

1064(\(as)X

7200

1185(was)X

7201

1336(shown)X

7202

1571(by)X

7203

1677(Baeza-Yates)X

7204

2110(and)X

7205

2252(Gonnet)X

7206

2514([BG89]\).)X

7207

2852(Suppose)X

7208

3149(that)X

7209

3295(the)X

7210

3419(pattern)X

7211

3668(we)X

7212

3788(want)X

7213

3970(to)X

7214

864 5195(\256nd)N

7215

1011(is)X

7216

2 f

7217

1087(P)X

7218

1 f

7219

7 s

7220

1145 5211(1)N

7221

10 s

7222

1202 5195(followed)N

7223

1510(by)X

7224

1613(one)X

7225

1752(digit)X

7226

1921(followed)X

7227

2229(by)X

7228

2 f

7229

2332(P)X

7230

1 f

7231

7 s

7232

2390 5211(2)N

7233

10 s

7234

2447 5195(and)N

7235

2586(that)X

7236

2729(we)X

7237

2846(allow)X

7238

3047(up)X

7239

3150(to)X

7240

2 f

7241

3235(k)X

7242

1 f

7243

3294(errors.)X

7244

3545(We)X

7245

3680(denote)X

7246

3917(this)X

7247

864 5315(pattern)N

7248

1109(by)X

7249

2 f

7250

1211(P)X

7251

1 f

7252

7 s

7253

1269 5331(1)N

7254

10 s

7255

1303 5315([0)N

7256

2 f

7257

9 f

7258

1370(-)X

7259

1 f

7260

1414(9])X

7261

2 f

7262

1481(P)X

7263

1 f

7264

7 s

7265

1539 5331(2)N

7266

10 s

7267

1573 5315(.)N

7268

1635(The)X

7269

1782(only)X

7270

1946(thing)X

7271

2132(we)X

7272

2248(need)X

7273

2422(to)X

7274

2506(do)X

7275

2607(to)X

7276

2690(accept)X

7277

2917(a)X

7278

2974(set)X

7279

3084(of)X

7280

3172(characters)X

7281

3520(is)X

7282

3594(to)X

7283

3677(include)X

7284

3934(the)X

7285

864 5435(position)N

7286

1142(of)X

7287

1230([0)X

7288

9 f

7289

1297(-)X

7290

1 f

7291

1341(9])X

7292

1429(in)X

7293

1512(the)X

7294

2 f

7295

1631(S)X

7296

1 f

7297

1692(arrays)X

7298

1910(for)X

7299

2026(all)X

7300

2128(digits.)X

7301

2367(That)X

7302

2536(is,)X

7303

2631(in)X

7304

2715(the)X

7305

2835(preprocessing)X

7306

3303(stage,)X

7307

3510(when)X

7308

3706(we)X

7309

3822(decide)X

7310

864 5555(for)N

7311

982(each)X

7312

1154(character)X

7313

1474(the)X

7314

1596(positions)X

7315

1908(that)X

7316

2051(this)X

7317

2189(character)X

7318

2508(matches)X

7319

2794(in)X

7320

2879(the)X

7321

3000(pattern,)X

7322

3266(we)X

7323

3383(include)X

7324

3642(all)X

7325

3745(the)X

7326

3866(char-)X

7327

864 5675(acters)N

7328

1089(in)X

7329

1188(the)X

7330

1323(set)X

7331

1449(within)X

7332

1690(that)X

7333

1847(position.)X

7334

2181(The)X

7335

2343(rest)X

7336

2496(of)X

7337

2600(the)X

7338

2735(algorithm)X

7339

3083(is)X

7340

3174(identical)X

7341

3488(with)X

7342

3668(the)X

7343

3804(regular)X

7344

7345

8 p

7346

%%Page: 8 9

7347

10 s 10 xH 0 xS 1 f

7348

3 f

7349

2428 696(8)N

7350

1 f

7351

864 984(algorithm.)N

7352

1242(A)X

7353

1327(complement)X

7354

1750(of)X

7355

1844(a)X

7356

1907(character)X

7357

2230(is)X

7358

2310(a)X

7359

2373(special)X

7360

2623(case)X

7361

2789(of)X

7362

2883(a)X

7363

2946(set)X

7364

3062(of)X

7365

3156(characters)X

7366

3510(and)X

7367

3653(it)X

7368

3724(can)X

7369

3863(obvi-)X

7370

864 1104(ously)N

7371

1057(be)X

7372

1153(handled)X

7373

1427(in)X

7374

1509(the)X

7375

1627(same)X

7376

1812(way.)X

7377

6 f

7378

12 s

7379

864 1344(3.2.)N

7380

1078(Wild)X

7381

1309(Cards)X

7382

1 f

7383

10 s

7384

864 1497(A)N

7385

944(single)X

7386

1157(wild)X

7387

1321(card)X

7388

1482(is)X

7389

1557(a)X

7390

1615(symbol)X

7391

1872(that)X

7392

2014(matches)X

7393

2299(all)X

7394

2402(characters.)X

7395

2792(As)X

7396

2904(such,)X

7397

3094(it)X

7398

3161(is)X

7399

3237(a)X

7400

3296(special)X

7401

3542(case)X

7402

3704(of)X

7403

3794(a)X

7404

3853(set)X

7405

3965(of)X

7406

864 1617(characters)N

7407

1216(and)X

7408

1357(can)X

7409

1494(be)X

7410

1595(handled)X

7411

1874(as)X

7412

1966(we)X

7413

2085(discussed)X

7414

2417(in)X

7415

2504(the)X

7416

2627(previous)X

7417

2927(section.)X

7418

3218(Sometimes,)X

7419

3617(however,)X

7420

3938(we)X

7421

864 1737(want)N

7422

1044(to)X

7423

1130(indicate)X

7424

1408(that)X

7425

1552(we)X

7426

1670(allow)X

7427

1872(an)X

7428

1972(unbounded)X

7429

2352(number)X

7430

2621(of)X

7431

2712(characters)X

7432

3063(to)X

7433

3149(appear)X

7434

3388(in)X

7435

3474(the)X

7436

3596(middle)X

7437

3842(of)X

7438

3934(the)X

7439

864 1857(pattern)N

7440

1109(\(or)X

7441

1225(even)X

7442

1399(do)X

7443

1501(it)X

7444

1567(several)X

7445

1817(times)X

7446

2012(in)X

7447

2096(the)X

7448

2216(middle)X

7449

2459(of)X

7450

2547(the)X

7451

2666(pattern\).)X

7452

2977(This)X

7453

3140(case)X

7454

3300(requires)X

7455

3580(modifying)X

7456

3934(the)X

7457

864 1977(algorithm)N

7458

1196(slightly.)X

7459

1496(Let)X

7460

1624(the)X

7461

1743(pattern)X

7462

1987(be)X

7463

2 f

7464

2084(P)X

7465

9 f

7466

2152(=)X

7467

2 f

7468

2209(p)X

7469

1 f

7470

7 s

7471

2258 1993(1)N

7472

2 f

7473

10 s

7474

2292 1977(p)N

7475

1 f

7476

7 s

7477

2341 1993(2)N

7478

10 s

7479

2395 1953(.)N

7480

2435(.)X

7481

2475(.)X

7482

2 f

7483

2515 1977(p)N

7484

7 s

7485

1993(m)Y

7486

1 f

7487

10 s

7488

2601 1977(,)N

7489

2642(and)X

7490

2779(assume)X

7491

3036(that)X

7492

3177(the)X

7493

3296(positions)X

7494

3605(of)X

7495

3693(`#')X

7496

3809(\(which)X

7497

864 2097(indicates)N

7498

1171(unlimited)X

7499

1499(wild)X

7500

1663(cards)X

7501

1855(in)X

7502

1938(agrep\))X

7503

2165(are)X

7504

2285(after)X

7505

2454(the)X

7506

2573(characters)X

7507

2 f

7508

2921(p)X

7509

7 s

7510

2113(i)Y

7511

1 f

7512

4 s

7513

2982 2124(1)N

7514

10 s

7515

3008 2097(,)N

7516

2 f

7517

3047(p)X

7518

7 s

7519

2113(i)Y

7520

1 f

7521

4 s

7522

3108 2124(2)N

7523

10 s

7524

3134 2097(,)N

7525

2 f

7526

3173(...)X

7527

1 f

7528

(,)S

7529

2 f

7530

3272(p)X

7531

7 s

7532

2113(i)Y

7533

4 s

7534

3328 2124(s)N

7535

1 f

7536

10 s

7537

3350 2097(.)N

7538

3411(\(There)X

7539

3647(is)X

7540

3721(no)X

7541

3822(reason)X

7542

864 2228(to)N

7543

946(have)X

7544

1118(two)X

7545

1258(#'s)X

7546

1376(in)X

7547

1458(a)X

7548

1514(row.\))X

7549

1726(Let)X

7550

2 f

7551

1853(S)X

7552

7 s

7553

1902 2196(#)N

7554

1 f

7555

10 s

7556

1956 2228(be)N

7557

2052(a)X

7558

2108(bit)X

7559

2212(array)X

7560

2398(that)X

7561

2538(has)X

7562

2665(1)X

7563

2725(in)X

7564

2808(exactly)X

7565

3061(the)X

7566

3180(positions)X

7567

2 f

7568

3489(i)X

7569

1 f

7570

7 s

7571

3520 2244(1)N

7572

10 s

7573

3554 2228(,)N

7574

2 f

7575

3593(i)X

7576

1 f

7577

7 s

7578

3624 2244(2)N

7579

10 s

7580

3658 2228(,)N

7581

2 f

7582

3697(...)X

7583

1 f

7584

(,)S

7585

2 f

7586

3796(i)X

7587

7 s

7588

3818 2244(s)N

7589

1 f

7590

10 s

7591

3846 2228(.)N

7592

3907(The)X

7593

864 2348(effect)N

7594

1072(of)X

7595

1163(putting)X

7596

1413(a)X

7597

1473(`#')X

7598

1591(following)X

7599

2 f

7600

1926(p)X

7601

7 s

7602

2364(i)Y

7603

1 f

7604

10 s

7605

2012 2348(can)N

7606

2147(be)X

7607

2246(de\256ned)X

7608

2505(as)X

7609

2595(follows.)X

7610

2898(If)X

7611

2975(we)X

7612

3092(are)X

7613

3214(scanning)X

7614

2 f

7615

3522(t)X

7616

7 s

7617

3548 2364(j)N

7618

1 f

7619

10 s

7620

3593 2348(and)N

7621

3732(we)X

7622

3849(\256nd)X

7623

3996(a)X

7624

864 2468(match)N

7625

1087(with)X

7626

1256(up)X

7627

1363(to)X

7628

2 f

7629

1452(d)X

7630

1 f

7631

1519(errors)X

7632

1734(that)X

7633

1881(ends)X

7634

2055(at)X

7635

2 f

7636

2140(p)X

7637

7 s

7638

2484(i)Y

7639

1 f

7640

10 s

7641

2202 2468(,)N

7642

2249(then)X

7643

2414(later)X

7644

2584(when)X

7645

2785(we)X

7646

2906(scan)X

7647

2 f

7648

3076(t)X

7649

7 s

7650

3098 2484(r)N

7651

1 f

7652

10 s

7653

3126 2468(,)N

7654

3173(for)X

7655

3295(any)X

7656

2 f

7657

3439(r)X

7658

3489(>)X

7659

3562(j)X

7660

1 f

7661

3584(,)X

7662

3632(we)X

7663

3754(can)X

7664

3894(start)X

7665

864 2588(matching)N

7666

2 f

7667

1189(t)X

7668

7 s

7669

1211 2604(r)N

7670

1 f

7671

10 s

7672

1266 2588(to)N

7673

2 f

7674

1355(p)X

7675

7 s

7676

2604(i)Y

7677

9 f

7678

1420(+)X

7679

1 f

7680

1451(1)X

7681

10 s

7682

1512 2588(no)N

7683

1619(matter)X

7684

1851(how)X

7685

2016(many)X

7686

2220(characters)X

7687

2573(we)X

7688

2693(skipped.)X

7689

2988(In)X

7690

3081(other)X

7691

3272(words,)X

7692

3514(if)X

7693

3589(at)X

7694

3673(some)X

7695

3868(point)X

7696

864 2708(there)N

7697

1045(is)X

7698

1118(a)X

7699

1174(match)X

7700

1390(up)X

7701

1490(to)X

7702

2 f

7703

1572(p)X

7704

7 s

7705

2724(i)Y

7706

1 f

7707

10 s

7708

1654 2708(then)N

7709

1812(this)X

7710

1947(match)X

7711

2163(is)X

7712

2236(always)X

7713

2479(valid)X

7714

2659(later)X

7715

2822(on)X

7716

2922(\(because)X

7717

3224(all)X

7718

3324(the)X

7719

3442(characters)X

7720

3789(later)X

7721

3952(on)X

7722

864 2828(can)N

7723

996(be)X

7724

1092(considered)X

7725

1460(as)X

7726

1547(part)X

7727

1692(of)X

7728

1779(the)X

7729

1897(`#'\).)X

7730

1064 2981(We)N

7731

1205(can)X

7732

1346(adjust)X

7733

1566(the)X

7734

1693(algorithm)X

7735

2033(for)X

7736

2156(this)X

7737

2301(case)X

7738

2470(as)X

7739

2567(follows.)X

7740

2877(At)X

7741

2987(each)X

7742

3165(step,)X

7743

3344(we)X

7744

3468(apply)X

7745

3676(the)X

7746

3804(regular)X

7747

864 3101(algorithm)N

7748

1201(to)X

7749

1289(compute)X

7750

1591(all)X

7751

1697(the)X

7752

2 f

7753

1821(R)X

7754

1 f

7755

1896(arrays.)X

7756

2158(That)X

7757

2330(is,)X

7758

2428(we)X

7759

2547(compute)X

7760

2 f

7761

2848(R)X

7762

7 s

7763

2905 3117(j)N

7764

1 f

7765

2901 3069(0)N

7766

10 s

7767

2935 3101(,)N

7768

2 f

7769

2974(R)X

7770

7 s

7771

3031 3117(j)N

7772

1 f

7773

3027 3069(1)N

7774

10 s

7775

3061 3101(,)N

7776

2 f

7777

3100(...)X

7778

1 f

7779

(,)S

7780

2 f

7781

3199(R)X

7782

7 s

7783

3256 3117(j)N

7784

3252 3069(d)N

7785

1 f

7786

10 s

7787

3311 3101(using)N

7788

3509($2.1$.)X

7789

3728(Then,)X

7790

3938(for)X

7791

864 3221(each)N

7792

2 f

7793

1034(i)X

7794

1 f

7795

1056(,)X

7796

1098(1)X

7797

2 f

7798

9 f

7799

1151(\243)X

7800

2 f

7801

1208(i)X

7802

9 f

7803

1249(\243)X

7804

2 f

7805

1306(d)X

7806

1 f

7807

(,)S

7808

1388(we)X

7809

1504(set)X

7810

2 f

7811

1615(R)X

7812

7 s

7813

1672 3237(j)N

7814

1668 3189(i)N

7815

1 f

7816

10 s

7817

1717 3221(=)N

7818

2 f

7819

1785(R)X

7820

7 s

7821

1842 3237(j)N

7822

1838 3189(i)N

7823

1 f

7824

10 s

7825

2 f

7826

1884 3221(OR)N

7827

1 f

7828

2017([)X

7829

2 f

7830

2044(R)X

7831

7 s

7832

2101 3237(j)N

7833

9 f

7834

2126(-)X

7835

1 f

7836

2157(1)X

7837

2 f

7838

2097 3189(i)N

7839

1 f

7840

10 s

7841

2 f

7842

2217 3221(AND)N

7843

1 f

7844

2 f

7845

2403(S)X

7846

7 s

7847

2452 3189(#)N

7848

1 f

7849

10 s

7850

2486 3221(].)N

7851

2556(This)X

7852

2721(step)X

7853

2873(corresponds)X

7854

3284(to)X

7855

3369(the)X

7856

3490(action)X

7857

3709(``if)X

7858

3835(at)X

7859

3916(any)X

7860

864 3341(point,)N

7861

1068(there)X

7862

1249(is)X

7863

1322(a)X

7864

1378(1)X

7865

1438(entry)X

7866

1623(in)X

7867

2 f

7868

1705(R)X

7869

7 s

7870

1763 3309(i)N

7871

1 f

7872

10 s

7873

2 f

7874

1805 3341(AND)N

7875

1 f

7876

2 f

7877

1991(S)X

7878

7 s

7879

2040 3309(#)N

7880

1 f

7881

10 s

7882

2074 3341(,)N

7883

2114(then)X

7884

2272(this)X

7885

2407(entry)X

7886

2592(should)X

7887

2825(remain)X

7888

3068(1)X

7889

3128(from)X

7890

3304(now)X

7891

3462(on.'')X

7892

6 f

7893

12 s

7894

864 3581(3.3.)N

7895

1078(Unknown)X

7896

1538(Number)X

7897

1927(of)X

7898

2045(Errors)X

7899

1 f

7900

10 s

7901

864 3821(In)N

7902

972(some)X

7903

1182(cases,)X

7904

1413(we)X

7905

1549(do)X

7906

1671(not)X

7907

1815(know)X

7908

2035(the)X

7909

2175(number)X

7910

2462(of)X

7911

2571(errors)X

7912

2801(a-priori.)X

7913

3124(We)X

7914

3278(would)X

7915

3520(like)X

7916

3682(to)X

7917

3786(\256nd)X

7918

3952(all)X

7919

864 3941 0.3125(occurrences)AN

7920

1283(of)X

7921

1384(the)X

7922

1516(pattern)X

7923

1773(with)X

7924

1949(the)X

7925

2 f

7926

2080(minimal)X

7927

1 f

7928

2375(number)X

7929

2653(of)X

7930

2753(errors)X

7931

2974(possible.)X

7932

3309(The)X

7933

3467(algorithm)X

7934

3811(can)X

7935

3956(be)X

7936

864 4061(extended)N

7937

1178(to)X

7938

1264(this)X

7939

1403(case)X

7940

1567(as)X

7941

1659(follows.)X

7942

1964(We)X

7943

2101(\256rst)X

7944

2250(try)X

7945

2364(to)X

7946

2451(\256nd)X

7947

2600(the)X

7948

2723(pattern)X

7949

2971(with)X

7950

3138(no)X

7951

3243(errors.)X

7952

3496(If)X

7953

3575(we)X

7954

3694(are)X

7955

3818(unsuc-)X

7956

864 4181(cessful,)N

7957

1137(we)X

7958

1261(try)X

7959

1380(with)X

7960

1552(one)X

7961

1698(error,)X

7962

1905(then)X

7963

2073(with)X

7964

2245(three)X

7965

2436(errors,)X

7966

2674(then)X

7967

2842(with)X

7968

3014(7)X

7969

3083(errors,)X

7970

3320(and)X

7971

3465(so)X

7972

3565(on,)X

7973

3694(essentially)X

7974

864 4301(doubling)N

7975

1171(the)X

7976

1292(number)X

7977

1560(of)X

7978

1650(errors)X

7979

1861(\(and)X

7980

2027(adding)X

7981

2269(one\))X

7982

2436(at)X

7983

2518(each)X

7984

2690(attempt.)X

7985

2974(If)X

7986

3052(the)X

7987

3174(number)X

7988

3443(of)X

7989

3534(errors)X

7990

3746(turns)X

7991

3930(out)X

7992

864 4421(to)N

7993

956(be)X

7994

2 f

7995

1062(k)X

7996

1 f

7997

1098(,)X

7998

1148(then)X

7999

1316(the)X

8000

1444(running)X

8001

1723(time)X

8002

1895(will)X

8003

2049(be)X

8004

2 f

8005

2155(O)X

8006

1 f

8007

2226(\(1)X

8008

2306 4397(.)N

8009

2 f

8010

2339 4421(n)N

8011

1 f

8012

2 f

8013

9 f

8014

2405(+)X

8015

1 f

8016

2469(2)X

8017

2522 4397(.)N

8018

2 f

8019

2555 4421(n)N

8020

1 f

8021

2 f

8022

9 f

8023

2621(+)X

8024

1 f

8025

2685(4)X

8026

2738 4397(.)N

8027

2 f

8028

2771 4421(n)N

8029

1 f

8030

2 f

8031

9 f

8032

2837(+)X

8033

1 f

8034

2921 4397(.)N

8035

2961(.)X

8036

3001(.)X

8037

2 f

8038

9 f

8039

3061 4421(+)N

8040

1 f

8041

3125(2)X

8042

2 f

8043

7 s

8044

4389(b)Y

8045

1 f

8046

10 s

8047

3212 4397(.)N

8048

2 f

8049

3245 4421(n)N

8050

1 f

8051

3291(\),)X

8052

3368(where)X

8053

3595(2)X

8054

2 f

8055

7 s

8056

4389(b)Y

8057

1 f

8058

10 s

8059

3699 4421(is)N

8060

3781(the)X

8061

3908(\256rst)X

8062

864 4541(power)N

8063

1086(of)X

8064

1174(2)X

8065

1235(greater)X

8066

1480(than)X

8067

2 f

8068

1640(k)X

8069

1 f

8070

1676(.)X

8071

1738(In)X

8072

1827(the)X

8073

1947(worst)X

8074

2147(case,)X

8075

2328(we)X

8076

2444(perform)X

8077

2725(4)X

8078

2787(times)X

8079

2982(as)X

8080

3071(many)X

8081

3271(operations)X

8082

3627(as)X

8083

3716(we)X

8084

3832(would)X

8085

864 4661(have)N

8086

1042(had)X

8087

1184(we)X

8088

1304(known)X

8089

2 f

8090

1548(k)X

8091

1 f

8092

1610(\(in)X

8093

1725(most)X

8094

1906(cases,)X

8095

2122(the)X

8096

2246(factor)X

8097

2460(is)X

8098

2539(actually)X

8099

2819(2)X

8100

2885(or)X

8101

2978(3\).)X

8102

3091(This)X

8103

3259(is)X

8104

3338(not)X

8105

3466(desirable,)X

8106

3802(but)X

8107

3930(not)X

8108

864 4781(prohibitive.)N

8109

1275(There)X

8110

1483(are)X

8111

1602(other)X

8112

1787(methods)X

8113

2078(to)X

8114

2160(\256nd)X

8115

2304(the)X

8116

2422(minimum)X

8117

2752(number)X

8118

3017(of)X

8119

3104(errors.)X

8120

6 f

8121

12 s

8122

864 5021(3.4.)N

8123

1078(A)X

8124

1174(Combination)X

8125

1789(of)X

8126

1907(Patterns)X

8127

2317(With)X

8128

2553(and)X

8129

2751(Without)X

8130

3137(Errors)X

8131

1 f

8132

10 s

8133

864 5174(Sometimes)N

8134

1241(we)X

8135

1357(do)X

8136

1459(not)X

8137

1583(want)X

8138

1761(to)X

8139

1845(allow)X

8140

2045(parts)X

8141

2223(of)X

8142

2312(the)X

8143

2432(pattern)X

8144

2677(to)X

8145

2761(have)X

8146

2935(errors.)X

8147

3165(For)X

8148

3298(example,)X

8149

3612(we)X

8150

3729(may)X

8151

3890(look)X

8152

864 5294(for)N

8153

981(license)X

8154

1227(plate)X

8155

1406(ABC123,)X

8156

1733(and)X

8157

1872(we)X

8158

1989(know)X

8159

2190(that)X

8160

2333(the)X

8161

2454(letters)X

8162

2673(are)X

8163

2794(correct)X

8164

3040(but)X

8165

3164(the)X

8166

3284(numbers)X

8167

3582(may)X

8168

3742(have)X

8169

3916(one)X

8170

864 5414(error)N

8171

1052(in)X

8172

1145(them.)X

8173

1376(We)X

8174

1519(denote)X

8175

1764(this)X

8176

1910(pattern)X

8177

2165(by)X

8178

2277(<ABC>123.)X

8179

2723(We)X

8180

2867(can)X

8181

3011(modify)X

8182

3274(the)X

8183

3404(algorithm)X

8184

3747(to)X

8185

3841(shield)X

8186

864 5534(parts)N

8187

1043(of)X

8188

1133(the)X

8189

1253(pattern)X

8190

1498(from)X

8191

1676(having)X

8192

1916(any)X

8193

2054(errors)X

8194

2264(in)X

8195

2348(them.)X

8196

2570(Let's)X

8197

2757(assume)X

8198

3015(that)X

8199

2 f

8200

3157(I)X

8201

1 f

8202

3206(is)X

8203

3281(the)X

8204

3401(set)X

8205

3512(of)X

8206

3601(indices)X

8207

3850(in)X

8208

3934(the)X

8209

864 5654(pattern)N

8210

1115(where)X

8211

1340(no)X

8212

1448(error)X

8213

1633(is)X

8214

1715(allowed,)X

8215

2018(and)X

8216

2163(let)X

8217

2 f

8218

2272(M)X

8219

1 f

8220

2368(be)X

8221

2473(a)X

8222

2538(masking)X

8223

2838(array)X

8224

3033(\(of)X

8225

3156(size)X

8226

2 f

8227

3310(m)X

8228

1 f

8229

3368(\))X

8230

3424(that)X

8231

3573(has)X

8232

3709(a)X

8233

3774(0)X

8234

3843(in)X

8235

3934(the)X

8236

8237

9 p

8238

%%Page: 9 10

8239

10 s 10 xH 0 xS 1 f

8240

3 f

8241

2428 696(9)N

8242

1 f

8243

864 984(indices)N

8244

1115(of)X

8245

2 f

8246

1206(I)X

8247

1 f

8248

1257(and)X

8249

1397(a)X

8250

1457(1)X

8251

1521(otherwise.)X

8252

1897(We)X

8253

2033(would)X

8254

2257(like)X

8255

2401(to)X

8256

2486(modify)X

8257

2740($2.1$)X

8258

2917(such)X

8259

3087(that)X

8260

3230(insertions,)X

8261

3584(deletions,)X

8262

3916(and)X

8263

864 1104(substitutions)N

8264

1301(can)X

8265

1447(only)X

8266

1623(occur)X

8267

1836(outside)X

8268

2102(of)X

8269

2 f

8270

2204(I)X

8271

1 f

8272

2231(.)X

8273

2306(This)X

8274

2483(is)X

8275

2571(done)X

8276

2762(by)X

8277

2877(masking)X

8278

3183(these)X

8279

3383(cases)X

8280

3588(with)X

8281

2 f

8282

3765(M)X

8283

1 f

8284

3832(.)X

8285

3907(The)X

8286

864 1224(expression)N

8287

1227(in)X

8288

1309($2.1$)X

8289

1483(is)X

8290

1556(changed)X

8291

1844(to)X

8292

3878 1416($2.2$)N

8293

2 f

8294

1024 1408(R)N

8295

7 s

8296

1081 1424(j)N

8297

9 f

8298

1106(+)X

8299

1 f

8300

1137(1)X

8301

2 f

8302

1077 1376(d)N

8303

10 s

8304

9 f

8305

1217 1408(=)N

8306

1 f

8307

10 f

8308

1314 1368(I)N

8309

1314 1448(L)N

8310

2 f

8311

1354 1408(Rshift)N

8312

1 f

8313

1546([)X

8314

2 f

8315

1573(R)X

8316

7 s

8317

1630 1424(j)N

8318

1626 1376(d)N

8319

1 f

8320

10 s

8321

1660 1408(])N

8322

1707(AND)X

8323

2 f

8324

1901(S)X

8325

7 s

8326

1424(c)Y

8327

1 f

8328

10 s

8329

10 f

8330

1992 1368(M)N

8331

1992 1448(O)N

8332

1 f

8333

2032 1408(OR)N

8334

10 f

8335

2176 1368(I)N

8336

2176 1448(L)N

8337

2 f

8338

2216 1408(Rshift)N

8339

1 f

8340

2408([)X

8341

2 f

8342

2435(R)X

8343

7 s

8344

2492 1424(j)N

8345

2488 1376(d)N

8346

9 f

8347

2525(-)X

8348

1 f

8349

2556(1)X

8350

10 s

8351

2610 1408(OR)N

8352

2 f

8353

2741(R)X

8354

7 s

8355

2798 1424(j)N

8356

9 f

8357

2823(+)X

8358

1 f

8359

2854(1)X

8360

2 f

8361

2794 1376(d)N

8362

9 f

8363

2831(-)X

8364

1 f

8365

2862(1)X

8366

10 s

8367

2902 1408(])N

8368

2949(OR)X

8369

2 f

8370

3080(R)X

8371

7 s

8372

3137 1424(j)N

8373

3133 1376(d)N

8374

9 f

8375

3170(-)X

8376

1 f

8377

3201(1)X

8378

10 s

8379

10 f

8380

3255 1368(M)N

8381

3255 1448(O)N

8382

1 f

8383

3295 1408(AND)N

8384

2 f

8385

3489(M.)X

8386

6 f

8387

12 s

8388

864 1728(3.5.)N

8389

1078(Non-Uniform)X

8390

1692(Costs)X

8391

1 f

8392

10 s

8393

864 1881(The)N

8394

1017(edit)X

8395

1165(distance)X

8396

1456(measure,)X

8397

1772(de\256ned)X

8398

2036(in)X

8399

2126(section)X

8400

2381(1,)X

8401

2469(assumes)X

8402

2765(that)X

8403

2914(insertions,)X

8404

3274(deletions,)X

8405

3612(and)X

8406

3757(substitu-)X

8407

864 2001(tions)N

8408

1043(all)X

8409

1147(have)X

8410

1323(the)X

8411

1445(same)X

8412

1634(cost.)X

8413

1827(But)X

8414

1966(in)X

8415

2052(some)X

8416

2245(cases,)X

8417

2459(we)X

8418

2577(want)X

8419

2757(to)X

8420

2843(allow)X

8421

3044(fewer)X

8422

3251(deletions,)X

8423

3583(say,)X

8424

3733(than)X

8425

3894(sub-)X

8426

864 2121(stitutions.)N

8427

1220(The)X

8428

1369(algorithm)X

8429

1704(can)X

8430

1840(be)X

8431

1941(extended,)X

8432

2276(albeit)X

8433

2479(in)X

8434

2566(a)X

8435

2627(limited)X

8436

2878(way,)X

8437

3057(to)X

8438

3144(the)X

8439

3267(case)X

8440

3431(where)X

8441

3653(each)X

8442

3826(opera-)X

8443

864 2241(tion)N

8444

1011(has)X

8445

1141(a)X

8446

1200(different)X

8447

1500(cost.)X

8448

1692(We)X

8449

1827(illustrate)X

8450

2130(this)X

8451

2268(extension)X

8452

2598(with)X

8453

2762(an)X

8454

2860(example.)X

8455

3194(Suppose)X

8456

3487(that)X

8457

3629(substitutions)X

8458

864 2361(add)N

8459

1000(1)X

8460

1060(to)X

8461

1142(the)X

8462

1261(distance,)X

8463

1565(but)X

8464

1688(insertions)X

8465

2020(and)X

8466

2157(deletions)X

8467

2467(add)X

8468

2604(3)X

8469

2665(each.)X

8470

2874(Insertions)X

8471

3211(and)X

8472

3348(deletions)X

8473

3658(are)X

8474

3778(handled)X

8475

864 2481(in)N

8476

949(cases)X

8477

1142(4)X

8478

1204(and)X

8479

1342(3)X

8480

1404(\(see)X

8481

1556(section)X

8482

1805(2\).)X

8483

1934(Insertions)X

8484

2272(contribute)X

8485

2619(the)X

8486

2739(OR)X

8487

2872(of)X

8488

2 f

8489

2961(R)X

8490

7 s

8491

3018 2497(j)N

8492

3014 2449(d)N

8493

9 f

8494

3051(-)X

8495

1 f

8496

3082(1)X

8497

10 s

8498

3138 2481(and)N

8499

3276(deletions)X

8500

3587(contribute)X

8501

3934(the)X

8502

864 2601(OR)N

8503

996(of)X

8504

2 f

8505

1084(Rshift)X

8506

1 f

8507

1283([)X

8508

2 f

8509

1310(R)X

8510

7 s

8511

1367 2617(j)N

8512

9 f

8513

1392(+)X

8514

1 f

8515

1423(1)X

8516

2 f

8517

1363 2569(d)N

8518

9 f

8519

1400(-)X

8520

1 f

8521

1431(1)X

8522

10 s

8523

1471 2601(])N

8524

1519($2.1$.)X

8525

1734(We)X

8526

1867(would)X

8527

2088(like)X

8528

2229(them)X

8529

2410(to)X

8530

2493(cost)X

8531

2643(3)X

8532

2704(times)X

8533

2898(as)X

8534

2986(much.)X

8535

3205(In)X

8536

3293(other)X

8537

3479(words,)X

8538

3716(a)X

8539

3774(deletion)X

8540

864 2721(or)N

8541

956(insertion)X

8542

1261(that)X

8543

1406(leads)X

8544

1596(to)X

8545

1683(a)X

8546

1744(match)X

8547

1965(with)X

8548

2 f

8549

2132(d)X

8550

1 f

8551

2197(errors)X

8552

2410(should)X

8553

2648(come)X

8554

2847(from)X

8555

3028(a)X

8556

3089(match)X

8557

3310(with)X

8558

2 f

8559

3477(d)X

8560

9 f

8561

3530(-)X

8562

1 f

8563

3574(3)X

8564

3638(errors.)X

8565

3890(This)X

8566

864 2841(can)N

8567

1000(be)X

8568

1100(achieved)X

8569

1410(by)X

8570

1514(simply)X

8571

1755(replacing)X

8572

2078(the)X

8573

2 f

8574

2200(d)X

8575

9 f

8576

2253(-)X

8577

1 f

8578

2297(1)X

8579

2361(in)X

8580

2448(both)X

8581

2615(expressions)X

8582

3014(with)X

8583

2 f

8584

3181(d)X

8585

9 f

8586

3234(-)X

8587

1 f

8588

3278(3.)X

8589

3383(This)X

8590

3550(modi\256cation)X

8591

3979(is)X

8592

864 2961(very)N

8593

1038(simple)X

8594

1282(and)X

8595

1429(it)X

8596

1504(does)X

8597

1682(not)X

8598

1815(add)X

8599

1962(to)X

8600

2055(the)X

8601

2184(running)X

8602

2464(time;)X

8603

2679(however,)X

8604

3007(it)X

8605

3082(works)X

8606

3309(only)X

8607

3482(for)X

8608

3606(small)X

8609

3809(integer)X

8610

864 3081(costs.)N

8611

6 f

8612

12 s

8613

864 3321(3.6.)N

8614

1078(A)X

8615

1174(Set)X

8616

1350(of)X

8617

1468(Patterns)X

8618

1 f

8619

10 s

8620

864 3474(If)N

8621

939(we)X

8622

1054(have)X

8623

1227(several)X

8624

1476(patterns)X

8625

1751(and)X

8626

1888(we)X

8627

2004(want)X

8628

2182(to)X

8629

2266(\256nd)X

8630

2412(all)X

8631

2514 0.3125(occurrences)AX

8632

2921(of)X

8633

3010(any)X

8634

3148(of)X

8635

3237(them,)X

8636

3439(then)X

8637

3599(we)X

8638

3715(can)X

8639

3849(either)X

8640

864 3594(search)N

8641

1094(them)X

8642

1278(one)X

8643

1418(at)X

8644

1499(a)X

8645

1558(time)X

8646

1723(or)X

8647

1813(together.)X

8648

2139(The)X

8649

2287(advantage)X

8650

2636(of)X

8651

2726(searching)X

8652

3057(for)X

8653

3174(all)X

8654

3277(of)X

8655

3367(them)X

8656

3550(together)X

8657

3836(is)X

8658

3912(that)X

8659

864 3714(it)N

8660

930(can)X

8661

1064(be)X

8662

1162(done)X

8663

1340(in)X

8664

1424(one)X

8665

1562(scan)X

8666

1727(\(and)X

8667

1892(in)X

8668

1976(one)X

8669

2114(command\).)X

8670

2519(Suppose)X

8671

2812(that)X

8672

2954(we)X

8673

3070(are)X

8674

3191(looking)X

8675

3457(for)X

8676

2 f

8677

3574(P)X

8678

1 f

8679

7 s

8680

3632 3730(1)N

8681

10 s

8682

3666 3714(,)N

8683

2 f

8684

3705(P)X

8685

1 f

8686

7 s

8687

3763 3730(2)N

8688

10 s

8689

3797 3714(,)N

8690

2 f

8691

3836(...)X

8692

1 f

8693

(,)S

8694

2 f

8695

3935(P)X

8696

7 s

8697

3984 3730(r)N

8698

1 f

8699

10 s

8700

4012 3714(.)N

8701

864 3834(We)N

8702

1001(concatenate)X

8703

1406(all)X

8704

1511(the)X

8705

1634(patterns)X

8706

1913(and)X

8707

2054(put)X

8708

2181(them)X

8709

2366(in)X

8710

2453(one)X

8711

2594(array)X

8712

2785(\(using)X

8713

3010(as)X

8714

3102(many)X

8715

3305(words)X

8716

3526(as)X

8717

3617(needed\),)X

8718

3916(and)X

8719

864 3954(apply)N

8720

1062(the)X

8721

1180(algorithm)X

8722

1511(on)X

8723

1611(that)X

8724

1751(array)X

8725

1937(with)X

8726

2099(the)X

8727

2217(following)X

8728

2548(modi\256cations.)X

8729

3043(Let)X

8730

2 f

8731

3170(M)X

8732

1 f

8733

3257(be)X

8734

3353(a)X

8735

3409(bit)X

8736

3513(array)X

8737

3700(the)X

8738

3819(size)X

8739

3965(of)X

8740

864 4074(the)N

8741

986(combined)X

8742

1326(pattern,)X

8743

1593(and)X

8744

1733(let)X

8745

1837(bit)X

8746

2 f

8747

1945(i)X

8748

1 f

8749

1991(be)X

8750

2091(1)X

8751

2155(if)X

8752

2228(and)X

8753

2368(only)X

8754

2534(if)X

8755

2 f

8756

2607(i)X

8757

1 f

8758

2653(corresponds)X

8759

3064(to)X

8760

3149(the)X

8761

3270(\256rst)X

8762

3417(character)X

8763

3736(of)X

8764

3826(any)X

8765

3965(of)X

8766

864 4194(the)N

8767

997(patterns.)X

8768

1326(For)X

8769

1472(each)X

8770

2 f

8771

1656(s)X

8772

9 f

8773

1706(\316)X

8774

1776(S)X

8775

1 f

8776

1823(,)X

8777

1879(we)X

8778

2009(build)X

8779

2209(two)X

8780

2365(bit)X

8781

2485(arrays.)X

8782

2758(The)X

8783

2919(\256rst,)X

8784

2 f

8785

3099(S)X

8786

7 s

8787

4210(s)Y

8788

1 f

8789

10 s

8790

3203 4194(is)N

8791

3292(identical)X

8792

3604(with)X

8793

3782(the)X

8794

3916(one)X

8795

864 4314(described)N

8796

1213(in)X

8797

1315(section)X

8798

1582(2.)X

8799

1702(It)X

8800

1791(is)X

8801

1884(used)X

8802

2071(to)X

8803

2173(determine)X

8804

2534(if)X

8805

2623(a)X

8806

2699(match)X

8807

2935(occurs.)X

8808

3225(The)X

8809

3390(second)X

8810

3653(array)X

8811

2 f

8812

3859(S)X

8813

9 f

8814

(\242)S

8815

7 s

8816

2 f

8817

3919 4330(s)N

8818

1 f

8819

10 s

8820

3987 4314(=)N

8821

2 f

8822

864 4434(S)N

8823

7 s

8824

4450(s)Y

8825

1 f

8826

10 s

8827

2 f

8828

952 4434(AND)N

8829

1 f

8830

2 f

8831

1138(M)X

8832

1 f

8833

1205(.)X

8834

1266(It)X

8835

1336(indicates)X

8836

1642(whether)X

8837

2 f

8838

1922(s)X

8839

1 f

8840

1974(is)X

8841

2048(the)X

8842

2167(\256rst)X

8843

2312(character)X

8844

2629(of)X

8845

2717(any)X

8846

2854(pattern.)X

8847

3138(If)X

8848

3213(so,)X

8849

3325(then)X

8850

3484(we)X

8851

3599(must)X

8852

3775(start)X

8853

3934(the)X

8854

864 4554(match)N

8855

1082(at)X

8856

1162(that)X

8857

1304(pattern:)X

8858

1571(we)X

8859

1686(do)X

8860

1787(not)X

8861

1910(want)X

8862

2087(to)X

8863

2170(depend)X

8864

2423(on)X

8865

2524(the)X

8866

2643(end)X

8867

2780(of)X

8868

2868(the)X

8869

2987(previous)X

8870

3284(pattern.)X

8871

3568(Thus,)X

8872

3769(after)X

8873

3938(we)X

8874

864 4674(compute)N

8875

2 f

8876

1171(R)X

8877

7 s

8878

1224 4690(j)N

8879

1 f

8880

10 s

8881

1246 4674(,)N

8882

1297(we)X

8883

1422(OR)X

8884

1564(it)X

8885

1639(with)X

8886

2 f

8887

1812(S)X

8888

9 f

8889

(\242)S

8890

7 s

8891

2 f

8892

1872 4690(s)N

8893

1 f

8894

10 s

8895

1931 4674(\(where)N

8896

2 f

8897

2186(s)X

8898

9 f

8899

2236(=)X

8900

2 f

8901

2293(t)X

8902

7 s

8903

2319 4690(j)N

8904

1 f

8905

10 s

8906

2341 4674(\).)N

8907

2439(We)X

8908

2582(compute)X

8909

2890(the)X

8910

3020(rest)X

8911

3168(of)X

8912

3267(the)X

8913

2 f

8914

3397(R)X

8915

1 f

8916

3478(arrays)X

8917

3707(as)X

8918

3806(before,)X

8919

864 4794(except)N

8920

1106(that)X

8921

1258(in)X

8922

1352(each)X

8923

1532(step)X

8924

1693(we)X

8925

1819(OR)X

8926

1962(them)X

8927

2153(to)X

8928

2246(a)X

8929

2313(special)X

8930

2567(mask)X

8931

2767(that)X

8932

2918(sets)X

8933

3069(the)X

8934

3198(\256rst)X

8935

2 f

8936

3353(d)X

8937

1 f

8938

3424(bits)X

8939

3570(in)X

8940

2 f

8941

3663(R)X

8942

7 s

8943

3721 4762(d)N

8944

1 f

8945

10 s

8946

3786 4794(of)N

8947

3884(each)X

8948

864 4914(separate)N

8949

1148(pattern)X

8950

1391(to)X

8951

1473(1;)X

8952

1555(this)X

8953

1690(allows)X

8954

2 f

8955

1919(d)X

8956

1 f

8957

1980(initial)X

8958

2187(errors)X

8959

2396(in)X

8960

2479(each)X

8961

2648(pattern.)X

8962

2932(\(This)X

8963

3122(is)X

8964

3196(not)X

8965

3319(the)X

8966

3438(most)X

8967

3614(ef\256cient)X

8968

3898(way)X

8969

864 5034(to)N

8970

947(solve)X

8971

1137(this)X

8972

1273(problem,)X

8973

1581(but)X

8974

1704(it's)X

8975

1827(reasonably)X

8976

2196(simple.\))X

8977

2497(This)X

8978

2660(case)X

8979

2820(is)X

8980

2894(a)X

8981

2951(special)X

8982

3195(case)X

8983

3355(of)X

8984

3443(patterns)X

8985

3717(as)X

8986

3804(regular)X

8987

864 5154(expressions,)N

8988

1278(which)X

8989

1494(we)X

8990

1608(will)X

8991

1752(discuss)X

8992

2003(shortly.)X

8993

8994

10 p

8995

%%Page: 10 11

8996

10 s 10 xH 0 xS 1 f

8997

3 f

8998

2408 696(10)N

8999

6 f

9000

12 s

9001

864 984(3.7.)N

9002

1078(Long)X

9003

1341(Patterns)X

9004

1 f

9005

10 s

9006

864 1137(Suppose)N

9007

1170(that)X

9008

1325(the)X

9009

1458(pattern)X

9010

1716(occupies)X

9011

2032(several)X

9012

2295(words)X

9013

2526(and)X

9014

2677(that)X

9015

2832(it)X

9016

2912(is)X

9017

3001(a)X

9018

3073(simple)X

9019

3322(string.)X

9020

3560(The)X

9021

3721(algorithm)X

9022

864 1257(proceeds)N

9023

1184(in)X

9024

1280(the)X

9025

1412(same)X

9026

1611(fashion)X

9027

1881(by)X

9028

1995(computing)X

9029

2371(the)X

9030

2 f

9031

2503(R)X

9032

7 s

9033

2561 1225(d)N

9034

1 f

9035

10 s

9036

2629 1257(arrays)N

9037

2860(for)X

9038

2988(all)X

9039

3102(words.)X

9040

3352(However,)X

9041

3701(unless)X

9042

3934(the)X

9043

864 1377(number)N

9044

1130(of)X

9045

1218(errors)X

9046

1427(is)X

9047

1501(large,)X

9048

1703(the)X

9049

1822(\256rst)X

9050

1967(part)X

9051

2113(of)X

9052

2201(the)X

9053

2320(pattern)X

9054

2564(will)X

9055

2709(not)X

9056

2832(match)X

9057

3049(the)X

9058

3169(text)X

9059

3311(quite)X

9060

3493(often.)X

9061

3720(If)X

9062

3796(there)X

9063

3979(is)X

9064

864 1497(no)N

9065

966(match)X

9066

1184(with)X

9067

2 f

9068

1348(k)X

9069

1 f

9070

1406(errors)X

9071

1616(starting)X

9072

1878(after)X

9073

2048(position)X

9074

2 f

9075

2327(r)X

9076

1 f

9077

2380(of)X

9078

2469(the)X

9079

2589(pattern,)X

9080

2854(then)X

9081

3014(there)X

9082

3197(is)X

9083

3272(no)X

9084

3374(need)X

9085

3548(to)X

9086

3632(maintain)X

9087

3934(the)X

9088

2 f

9089

864 1617(R)N

9090

1 f

9091

938(arrays)X

9092

1160(corresponding)X

9093

1644(to)X

9094

1731(positions)X

9095

2044(larger)X

9096

2257(than)X

9097

2 f

9098

2420(r)X

9099

1 f

9100

2476(\(their)X

9101

2675(values)X

9102

2905(will)X

9103

3054(be)X

9104

3155(0\).)X

9105

3287(Thus,)X

9106

3492(most)X

9107

3673(of)X

9108

3766(the)X

9109

3890(time)X

9110

864 1737(there)N

9111

1046(will)X

9112

1191(be)X

9113

1287(no)X

9114

1387(need)X

9115

1559(to)X

9116

1641(maintain)X

9117

1941(the)X

9118

2 f

9119

2059(R)X

9120

7 s

9121

2117 1705(d)N

9122

1 f

9123

10 s

9124

2171 1737(arrays)N

9125

2388(for)X

9126

2502(the)X

9127

2620(right)X

9128

2791(side)X

9129

2940(of)X

9130

3027(the)X

9131

3145(pattern.)X

9132

3408(We)X

9133

3540(only)X

9134

3702(need)X

9135

3874(to)X

9136

3956(be)X

9137

864 1857(alerted)N

9138

1105(when)X

9139

1301(the)X

9140

1421(last)X

9141

1554(bit)X

9142

1660(of)X

9143

1749(the)X

9144

1869(last)X

9145

2 f

9146

2002(R)X

9147

7 s

9148

2060 1825(d)N

9149

1 f

9150

10 s

9151

2116 1857(array)N

9152

2304(that)X

9153

2446(we)X

9154

2562(maintain)X

9155

2864(gets)X

9156

3015(the)X

9157

3135(value)X

9158

3331(of)X

9159

3420(1.)X

9160

3523(In)X

9161

3613(that)X

9162

3756(case,)X

9163

3938(we)X

9164

864 1977(start)N

9165

1027(maintaining)X

9166

1434(the)X

9167

2 f

9168

1556(R)X

9169

7 s

9170

1605 1993(d)N

9171

1 f

9172

10 s

9173

1663 1977(arrays)N

9174

1884(for)X

9175

2002(the)X

9176

2124(next)X

9177

2286(part)X

9178

2435(of)X

9179

2526(the)X

9180

2648(pattern.)X

9181

2935(This)X

9182

3101(improvement)X

9183

3552(works)X

9184

3772(only)X

9185

3938(for)X

9186

864 2097(simple)N

9187

1097(strings)X

9188

1330(and)X

9189

1466(not)X

9190

1588(for)X

9191

1702(sets)X

9192

1842(of)X

9193

1929(strings)X

9194

2162(or)X

9195

2249(regular)X

9196

2497(expressions.)X

9197

6 f

9198

12 s

9199

864 2337(3.8.)N

9200

1078(Regular)X

9201

1462(Expressions)X

9202

1 f

9203

10 s

9204

864 2490(The)N

9205

1021(algorithm)X

9206

1364(can)X

9207

1508(be)X

9208

1616(extended)X

9209

1938(to)X

9210

2032(allow)X

9211

2242(any)X

9212

2390(regular)X

9213

2650(expression)X

9214

3025(as)X

9215

3124(a)X

9216

3192(pattern.)X

9217

3488(We)X

9218

3633(describe)X

9219

3934(the)X

9220

864 2610(method)N

9221

1130(here)X

9222

1295(only)X

9223

1463(brie\257y.)X

9224

1738(Algorithms)X

9225

2127(for)X

9226

2246(matching)X

9227

2569(regular)X

9228

2822(expressions)X

9229

3221(with)X

9230

3388(errors,)X

9231

3621(based)X

9232

3829(on)X

9233

3934(the)X

9234

864 2730(dynamic-programming)N

9235

1624(approach,)X

9236

1960(appear)X

9237

2196(in)X

9238

2279([MM89].)X

9239

2616(First,)X

9240

2803(we)X

9241

2918(illustrate)X

9242

3219(the)X

9243

3338(algorithm)X

9244

3670(with)X

9245

3833(a)X

9246

3890(sim-)X

9247

864 2850(ple)N

9248

984(example.)X

9249

1318(We)X

9250

1452(do)X

9251

1554(not)X

9252

1678(try)X

9253

1789(to)X

9254

1873(optimize)X

9255

2175(the)X

9256

2295(algorithm)X

9257

2628(at)X

9258

2708(this)X

9259

2845(stage;)X

9260

3074(we)X

9261

3190(try)X

9262

3300(to)X

9263

3383(make)X

9264

3578(it)X

9265

3643(as)X

9266

3731(simple)X

9267

3965(as)X

9268

864 2970(possible)N

9269

1153(\(a)X

9270

1243(more)X

9271

1435(detailed)X

9272

1716(discussion)X

9273

2076(and)X

9274

2219(more)X

9275

2411(ef\256cient)X

9276

2701(algorithms)X

9277

3071(will)X

9278

3223(be)X

9279

3327(presented)X

9280

3663(elsewhere\).)X

9281

864 3090(Let)N

9282

997(the)X

9283

1121(pattern)X

9284

1370(be)X

9285

2 f

9286

1472(P)X

9287

9 f

9288

1540(=)X

9289

2 f

9290

1597(ab)X

9291

1 f

9292

1690(\()X

9293

2 f

9294

1717(cd)X

9295

1 f

9296

9 f

9297

1806(|)X

9298

2 f

9299

1835(e)X

9300

1 f

9301

1877(\))X

9302

2 f

9303

7 s

9304

1904 3058(*)N

9305

10 s

9306

1944 3090(fg)N

9307

1 f

9308

2032(\(i.e.,)X

9309

2203(starting)X

9310

2469(with)X

9311

2 f

9312

2637(ab)X

9313

1 f

9314

2743(and)X

9315

2884(ending)X

9316

3127(with)X

9317

2 f

9318

3300(fg)X

9319

1 f

9320

3387(with)X

9321

3554(any)X

9322

3695(number)X

9323

3965(of)X

9324

864 3210(either)N

9325

2 f

9326

1078(cd)X

9327

1 f

9328

1185(or)X

9329

2 f

9330

1283(e)X

9331

1 f

9332

1350(in)X

9333

1443(between\).)X

9334

1809(This)X

9335

1983(regular)X

9336

2243(expression)X

9337

2618(is)X

9338

2703(translated)X

9339

3047(to)X

9340

3141(the)X

9341

3271(non-deterministic)X

9342

3868(\256nite)X

9343

864 3330(automata)N

9344

1181(shown)X

9345

1413(in)X

9346

1498(Fig.)X

9347

1647(3)X

9348

1710(\(for)X

9349

1854(more)X

9350

2042(on)X

9351

2145(such)X

9352

2315(translations)X

9353

2708(see)X

9354

2835([HU79]\).)X

9355

3176(We)X

9356

3312(now)X

9357

3474(assign)X

9358

3698(a)X

9359

3758(bit)X

9360

3866(array)X

9361

864 3450(to)N

9362

947(represent)X

9363

1263(the)X

9364

1382(automata.)X

9365

1736(We)X

9366

1868(number)X

9367

2133(the)X

9368

2251(states)X

9369

2449(including)X

9370

2771(the)X

9371

2889(null)X

9372

3033(states)X

9373

3231(that)X

9374

3371(do)X

9375

3471(not)X

9376

3593(correspond)X

9377

3970(to)X

9378

864 3570(any)N

9379

1000(character)X

9380

1316(\(see)X

9381

1466(Fig.)X

9382

1612(3\).)X

9383

1739(This)X

9384

1901(``linearizes'')X

9385

2337(the)X

9386

2455(automata.)X

9387

2809(Each)X

9388

2990(state)X

9389

3157(corresponds)X

9390

3565(to)X

9391

3647(one)X

9392

3784(entry)X

9393

3970(in)X

9394

864 3690(the)N

9395

984(array.)X

9396

1212(Thus,)X

9397

1414(for)X

9398

2 f

9399

1530(P)X

9400

1 f

9401

1601(we)X

9402

1717(have)X

9403

1891(an)X

9404

1989(array)X

9405

2177(of)X

9406

2266(size)X

9407

2413(11.)X

9408

2555(Notice)X

9409

2791(that)X

9410

2933(all)X

9411

3035(the)X

9412

3155(non-)X

9413

2 f

9414

9 f

9415

3302(e)X

9416

1 f

9417

3359(moves)X

9418

3590(go)X

9419

3692(to)X

9420

3775(the)X

9421

3894(next)X

9422

864 3810(state)N

9423

1032(and)X

9424

1169(thus)X

9425

1323(can)X

9426

1456(be)X

9427

1553(handled)X

9428

1828(by)X

9429

1929(essentially)X

9430

2288(a)X

9431

2345(shift)X

9432

2508(and)X

9433

2645(an)X

9434

2742(AND)X

9435

2937(operation.)X

9436

3302(We)X

9437

3436(need)X

9438

3610(to)X

9439

3694(\256nd)X

9440

3840(a)X

9441

3898(way)X

9442

3 f

9443

3695 4448(10)N

9444

3298(9)X

9445

2900(8)X

9446

2503 4846(7)N

9447

2106(6)X

9448

2702 4051(5)N

9449

2304(4)X

9450

1907(3)X

9451

1709 4448(2)N

9452

1311(1)X

9453

914(0)X

9454

3670 4523 MXY

9455

49 Dc

9456

1 f

9457

2466 4026(d)N

9458

2081 4039(c)N

9459

3471 4622(g)N

9460

3087(f)X

9461

2 f

9462

9 f

9463

1882 4337(e)N

9464

2851 4275(e)N

9465

2578 4697(e)N

9466

1932 4635(e)N

9467

1 f

9468

2292 5019(e)N

9469

2 f

9470

9 f

9471

2292 5206(e)N

9472

1 f

9473

1473 4635(b)N

9474

1076(a)X

9475

1733 MX

9476

-8 39 Dl

9477

16 -19 Dl

9478

25 4 Dl

9479

-33 -24 Dl

9480

2876 MX

9481

-33 24 Dl

9482

25 -4 Dl

9483

16 19 Dl

9484

-8 -39 Dl

9485

2702 5119 MXY

9486

198 -547 Dl

9487

1907 5119 MXY

9488

795 0 Dl

9489

1709 4572 MXY

9490

198 547 Dl

9491

1994 4833 MXY

9492

-2 -40 Dl

9493

-11 23 Dl

9494

-25 2 Dl

9495

38 15 Dl

9496

1833 4212 MXY

9497

-29 29 Dl

9498

24 -7 Dl

9499

18 17 Dl

9500

-13 -39 Dl

9501

2789 4597 MXY

9502

-38 15 Dl

9503

25 3 Dl

9504

10 23 Dl

9505

3 -41 Dl

9506

2826 4423 MXY

9507

13 -38 Dl

9508

-18 17 Dl

9509

-25 -6 Dl

9510

30 27 Dl

9511

3596 4523 MXY

9512

-35 -22 Dl

9513

13 22 Dl

9514

-13 22 Dl

9515

35 -22 Dl

9516

3347 MX

9517

298 0 Dl

9518

2751 4126 MXY

9519

100 397 Dl

9520

2553 4920 MXY

9521

298 -397 Dl

9522

2156 4920 MXY

9523

297 0 Dl

9524

1758 4523 MXY

9525

298 397 Dl

9526

1758 4523 MXY

9527

100 -397 Dl

9528

3645 4523 MXY

9529

99 Dc

9530

2453 4920 MXY

9531

99 Dc

9532

2056 MX

9533

99 Dc

9534

3198 4523 MXY

9535

-34 -22 Dl

9536

12 22 Dl

9537

-12 22 Dl

9538

34 -22 Dl

9539

2602 4126 MXY

9540

-34 -22 Dl

9541

13 22 Dl

9542

-13 21 Dl

9543

34 -21 Dl

9544

2205 MX

9545

-34 -22 Dl

9546

12 22 Dl

9547

-12 21 Dl

9548

34 -21 Dl

9549

1609 4523 MXY

9550

-34 -22 Dl

9551

13 22 Dl

9552

-13 22 Dl

9553

34 -22 Dl

9554

1212 MX

9555

-34 -22 Dl

9556

12 22 Dl

9557

-12 22 Dl

9558

34 -22 Dl

9559

2950 MX

9560

298 0 Dl

9561

2354 4126 MXY

9562

298 0 Dl

9563

1957 MX

9564

298 0 Dl

9565

1361 4523 MXY

9566

298 0 Dl

9567

964 MX

9568

298 0 Dl

9569

3248 MX

9570

99 Dc

9571

2851 MX

9572

99 Dc

9573

2652 4126 MXY

9574

99 Dc

9575

2255 MX

9576

99 Dc

9577

1858 MX

9578

99 Dc

9579

1659 4523 MXY

9580

99 Dc

9581

1262 MX

9582

99 Dc

9583

864 MX

9584

99 Dc

9585

1262 5446(Figure)N

9586

1491(3:)X

9587

1593(The)X

9588

1738(non-deterministic)X

9589

2323(automata)X

9590

2637(corresponding)X

9591

3116(to)X

9592

2 f

9593

3198(ab)X

9594

1 f

9595

3291(\()X

9596

2 f

9597

3318(cd)X

9598

1 f

9599

9 f

9600

3407(|)X

9601

2 f

9602

3436(e)X

9603

1 f

9604

3478(\))X

9605

2 f

9606

3505(*)X

9607

3551(fg)X

9608

1 f

9609

3613(.)X

9610

9611

11 p

9612

%%Page: 11 12

9613

10 s 10 xH 0 xS 1 f

9614

3 f

9615

2408 696(11)N

9616

1 f

9617

864 984(to)N

9618

948(deal)X

9619

1104(with)X

9620

1268(arbitrary)X

9621

1567(jumps)X

9622

1784(required)X

9623

2074(by)X

9624

2176(the)X

9625

2 f

9626

9 f

9627

2296(e)X

9628

1 f

9629

2353(moves)X

9630

2584(\(e.g.,)X

9631

2770(from)X

9632

2949(state)X

9633

3119(2)X

9634

3182(to)X

9635

3267(state)X

9636

3437(8\))X

9637

3527(and)X

9638

3666(with)X

9639

3831(``non-)X

9640

864 1104(jumps'')N

9641

1138(that)X

9642

1282(happen)X

9643

1538(to)X

9644

1624(be)X

9645

1724(in)X

9646

1810(consecutive)X

9647

2213(states)X

9648

2415(\(e.g.,)X

9649

2602(from)X

9650

2782(state)X

9651

2953(5)X

9652

3017(to)X

9653

3103(state)X

9654

3274(6\).)X

9655

3405(The)X

9656

3554(non-jumps)X

9657

3920(can)X

9658

864 1224(be)N

9659

967(handled)X

9660

1248(easily)X

9661

1462(with)X

9662

1631(a)X

9663

1694(mask.)X

9664

1930(The)X

9665

2082(arbitrary)X

9666

2386(jumps)X

9667

2608(are)X

9668

2735(harder)X

9669

2969(to)X

9670

3059(handle.)X

9671

3341(The)X

9672

3494(meaning)X

9673

3798(of)X

9674

3893(an)X

9675

2 f

9676

9 f

9677

3997(e)X

9678

1 f

9679

864 1344(move)N

9680

1071(from)X

9681

1256(state)X

9682

2 f

9683

1432(i)X

9684

1 f

9685

1483(to)X

9686

1574(state)X

9687

2 f

9688

1756(j)X

9689

1 f

9690

1807(is)X

9691

1889(that)X

9692

2038(if,)X

9693

2136(at)X

9694

2223(any)X

9695

2368(point,)X

9696

2581(we)X

9697

2704(match)X

9698

2928(up)X

9699

3036(to)X

9700

3126(state)X

9701

2 f

9702

3301(i)X

9703

1 f

9704

3351(then)X

9705

3517(the)X

9706

3643(same)X

9707

3836(match)X

9708

864 1464(holds)N

9709

1057(also)X

9710

1206(up)X

9711

1306(to)X

9712

1388(state)X

9713

2 f

9714

1561(j)X

9715

1 f

9716

1583(.)X

9717

1643(In)X

9718

1730(other)X

9719

1915(words,)X

9720

2151(if)X

9721

2220(there)X

9722

2401(is)X

9723

2474(a)X

9724

2531(1)X

9725

2592(corresponding)X

9726

3072(to)X

9727

3155(state)X

9728

2 f

9729

3323(i)X

9730

1 f

9731

3366(in)X

9732

3449(the)X

9733

3568(array,)X

9734

3775(then)X

9735

3934(the)X

9736

2 f

9737

9 f

9738

864 1584(e)N

9739

1 f

9740

921(move)X

9741

1121(from)X

9742

2 f

9743

1299(i)X

9744

1 f

9745

1343(to)X

9746

2 f

9747

1433(j)X

9748

1 f

9749

1477(implies)X

9750

1734(that)X

9751

1876(there)X

9752

2059(should)X

9753

2294(be)X

9754

2392(a)X

9755

2450(1)X

9756

2511(corresponding)X

9757

2991(to)X

9758

3074(state)X

9759

2 f

9760

3248(j)X

9761

1 f

9762

3270(.)X

9763

3331(The)X

9764

3477(main)X

9765

3658(observation)X

9766

864 1704(is)N

9767

937(that)X

9768

1077(a)X

9769

1133(given)X

9770

1331(bit)X

9771

1435(array)X

9772

1621(and)X

9773

1757(set)X

9774

1866(of)X

9775

2 f

9776

9 f

9777

1953(e)X

9778

1 f

9779

2008(moves)X

9780

2237(completely)X

9781

2613(determine)X

9782

2954(the)X

9783

3072(value)X

9784

3266(of)X

9785

3354(the)X

9786

3473(bit)X

9787

3578(array)X

9788

3765(after)X

9789

3934(the)X

9790

2 f

9791

9 f

9792

864 1824(e)N

9793

1 f

9794

925(moves)X

9795

1160(are)X

9796

1285(taken.)X

9797

1545(Thus,)X

9798

1751(the)X

9799

1875(set)X

9800

1990(of)X

9801

2 f

9802

9 f

9803

2083(e)X

9804

1 f

9805

2144(moves)X

9806

2379(de\256nes)X

9807

2631(a)X

9808

2692(function)X

9809

2984(that)X

9810

3129(maps)X

9811

3323(a)X

9812

3384(bit)X

9813

3493(array)X

9814

3684(to)X

9815

3771(another.)X

9816

864 1944(We)N

9817

996(need)X

9818

1168(to)X

9819

1250(be)X

9820

1346(able)X

9821

1500(to)X

9822

1582(implement)X

9823

1944(this)X

9824

2079(function)X

9825

2366(ef\256ciently.)X

9826

1064 2097(Let)N

9827

2 f

9828

1197(f)X

9829

1 f

9830

1239(denote)X

9831

1473(the)X

9832

1591(function)X

9833

1878(that)X

9834

2018(maps)X

9835

2207(one)X

9836

2343(bit)X

9837

2447(array)X

9838

2633(to)X

9839

2715(another)X

9840

2976(by)X

9841

3076(applying)X

9842

3376(all)X

9843

3476(the)X

9844

2 f

9845

9 f

9846

3594(e)X

9847

1 f

9848

3650(moves.)X

9849

3920(We)X

9850

864 2217(divide)N

9851

1087(the)X

9852

1208(bit)X

9853

1315(array)X

9854

1504(into)X

9855

1651(bytes,)X

9856

1863(i.e.,)X

9857

2004(groups)X

9858

2245(of)X

9859

2335(8)X

9860

2398(bits)X

9861

2536(each.)X

9862

2747(Consider)X

9863

3059(the)X

9864

3180(\256rst)X

9865

3327(8)X

9866

3390(bits)X

9867

3528(of)X

9868

3618(the)X

9869

3739(bit)X

9870

3846(array.)X

9871

864 2337(The)N

9872

1010(values)X

9873

1236(of)X

9874

1324(these)X

9875

1510(bits)X

9876

1646(determine)X

9877

1988(which)X

9878

2206(1's)X

9879

2326(should)X

9880

2561(be)X

9881

2659(set)X

9882

2770(when)X

9883

2966(we)X

9884

3082(apply)X

9885

3282(the)X

9886

2 f

9887

9 f

9888

3402(e)X

9889

1 f

9890

3459(moves)X

9891

3690(on)X

9892

3792(states)X

9893

3992(1)X

9894

864 2457(to)N

9895

951(8.)X

9896

1036(Since)X

9897

1239(there)X

9898

1425(are)X

9899

1549(only)X

9900

1716(256)X

9901

1860(\()X

9902

2 f

9903

9 f

9904

1887(=)X

9905

1 f

9906

1944(2)X

9907

7 s

9908

2425(8)Y

9909

10 s

9910

2018 2457(\))N

9911

2069(possible)X

9912

2355(values)X

9913

2584(for)X

9914

2702(8)X

9915

2766(bits,)X

9916

2925(we)X

9917

3043(can)X

9918

3179(preprocess)X

9919

3547(all)X

9920

3651(possibilities)X

9921

864 2577(and)N

9922

1003(construct)X

9923

1320(a)X

9924

1379(table)X

9925

1558(of)X

9926

1648(size)X

9927

1796(256)X

9928

1939(which)X

9929

2158(will)X

9930

2306(hold,)X

9931

2492(for)X

9932

2610(each)X

9933

2782(possible)X

9934

3068(byte,)X

9935

3250(the)X

9936

3372(whole)X

9937

3592(bit)X

9938

3700(array)X

9939

3890(with)X

9940

864 2697(1's)N

9941

984(only)X

9942

1148(in)X

9943

1232(places)X

9944

1455(corresponding)X

9945

1936(to)X

9946

2020(the)X

9947

2 f

9948

9 f

9949

2140(e)X

9950

1 f

9951

2197(moves.)X

9952

2468(\(We)X

9953

2629(need)X

9954

2803(the)X

9955

2923(whole)X

9956

3141(array)X

9957

3329(and)X

9958

3467(not)X

9959

3591(just)X

9960

3728(the)X

9961

3847(\256rst)X

9962

3992(8)X

9963

864 2817(bits,)N

9964

1022(because)X

9965

1300(there)X

9966

1484(might)X

9967

1693(be)X

9968

1792(forward)X

9969

2070(jumps.\))X

9970

2355(We)X

9971

2490(can)X

9972

2625(do)X

9973

2728(that)X

9974

2871(for)X

9975

2988(each)X

9976

3160(byte.)X

9977

3362(Given)X

9978

3582(now)X

9979

3744(a)X

9980

3804(current)X

9981

864 2937(value)N

9982

1071(of)X

9983

2 f

9984

1171(R)X

9985

1 f

9986

1220(,)X

9987

1273(we)X

9988

1400(\256rst)X

9989

1557(apply)X

9990

1768(the)X

9991

1899(regular)X

9992

2160(algorithm,)X

9993

2524(taking)X

9994

2757(care)X

9995

2925(of)X

9996

3025(regular)X

9997

3286(non)X

9998

2 f

9999

9 f

10000

3439(e)X

10001

1 f

10002

3507(moves,)X

10003

3768(then)X

10004

3938(we)X

10005

864 3057(divide)N

10006

1096(the)X

10007

1226(array)X

10008

1424(into)X

10009

1580(bytes,)X

10010

1801(\256nd)X

10011

1957(the)X

10012

2087(corresponding)X

10013

2578(arrays)X

10014

2807(in)X

10015

2901(the)X

10016

3032(tables)X

10017

3252(\(we)X

10018

3406(have)X

10019

3591(one)X

10020

3740(table)X

10021

3929(per)X

10022

864 3177(byte\),)N

10023

1075(and)X

10024

1217(OR)X

10025

1354(all)X

10026

1460(of)X

10027

1553(them)X

10028

1739(to)X

10029

2 f

10030

1827(R)X

10031

1 f

10032

1876(.)X

10033

1942(This)X

10034

2110(implements)X

10035

2509(all)X

10036

2615(the)X

10037

2739(jumps,)X

10038

2980(and)X

10039

3122(if)X

10040

3197(the)X

10041

3320(pattern)X

10042

3568(is)X

10043

3646(occupies)X

10044

3952(no)X

10045

864 3297(more)N

10046

1054(than)X

10047

1217(32)X

10048

1322(bits)X

10049

1462(\(as)X

10050

1581(is)X

10051

1659(often)X

10052

1849(the)X

10053

1972(case\),)X

10054

2183(only)X

10055

2350(4)X

10056

2415(more)X

10057

2605(steps)X

10058

2790(are)X

10059

2914(required.)X

10060

3247(\(If)X

10061

3353(the)X

10062

3477(text)X

10063

3623(is)X

10064

3702(large,)X

10065

3909(it)X

10066

3979(is)X

10067

864 3417(worthwhile)N

10068

1249(to)X

10069

1331(preprocess)X

10070

1695(16)X

10071

1795(bits)X

10072

1930(for)X

10073

2044(a)X

10074

2100(table)X

10075

2276(of)X

10076

2363(size)X

10077

2508(65536)X

10078

2728(and)X

10079

2864(half)X

10080

3009(as)X

10081

3096(many)X

10082

3294(steps.\))X

10083

1064 3570(The)N

10084

1215(algorithm)X

10085

1552(sketched)X

10086

1859(above)X

10087

2077(is)X

10088

2156(not)X

10089

2284(the)X

10090

2408(most)X

10091

2589(ef\256cient)X

10092

2878(algorithm,)X

10093

3235(but)X

10094

3364(it)X

10095

3435(is)X

10096

3515(reasonably)X

10097

3890(sim-)X

10098

864 3690(ple.)N

10099

1022(More)X

10100

1216(ef\256cient)X

10101

1499(algorithms)X

10102

1861(will)X

10103

2005(be)X

10104

2101(described)X

10105

2429(elsewhere.)X

10106

6 f

10107

12 s

10108

864 3930(3.9.)N

10109

1078(Very)X

10110

1312(Large)X

10111

1600(Alphabets)X

10112

1 f

10113

10 s

10114

864 4083(Sometimes)N

10115

1247(the)X

10116

1373(alphabet)X

10117

1673(is)X

10118

1754(very)X

10119

1925(large.)X

10120

2154(For)X

10121

2293(example,)X

10122

2613(the)X

10123

2740(pattern)X

10124

2992(can)X

10125

3133(be)X

10126

3238(a)X

10127

3303(segment)X

10128

3599(of)X

10129

3695(a)X

10130

3760(program)X

10131

864 4203(which)N

10132

1081(we)X

10133

1196(want)X

10134

1373(to)X

10135

1456(\256nd)X

10136

1601(inside)X

10137

1813(a)X

10138

1870(large)X

10139

2052(program.)X

10140

2385(Instead)X

10141

2638(of)X

10142

2726(counting)X

10143

3027(each)X

10144

3195(text)X

10145

3335(character)X

10146

3651(as)X

10147

3738(a)X

10148

3794(charac-)X

10149

864 4323(ter)N

10150

972(in)X

10151

1057(the)X

10152

1178(pattern,)X

10153

1444(we)X

10154

1561(may)X

10155

1722(wish)X

10156

1896(to)X

10157

1982(count)X

10158

2184(each)X

10159

2356(line)X

10160

2500(as)X

10161

2591(a)X

10162

2651(character)X

10163

2971(\(this)X

10164

3137(is)X

10165

3214(done,)X

10166

3414(for)X

10167

3532(example,)X

10168

3848(in)X

10169

3934(the)X

10170

864 4443(program)N

10171

2 f

10172

1156(diff)X

10173

1 f

10174

1282(which)X

10175

1498(is)X

10176

1571(used)X

10177

1738(to)X

10178

1820(compare)X

10179

2117(\256les\).)X

10180

2337(The)X

10181

2482(problem)X

10182

2769(we)X

10183

2883(have)X

10184

3055(with)X

10185

3217(large)X

10186

3398(alphabets)X

10187

3721(is)X

10188

3794(that)X

10189

3934(the)X

10190

864 4563(preprocessing)N

10191

1340(stage,)X

10192

1555(where)X

10193

1782(all)X

10194

1892(the)X

10195

2 f

10196

2020(S)X

10197

7 s

10198

4579(s)Y

10199

1 f

10200

10 s

10201

2119 4563(arrays)N

10202

2347(are)X

10203

2477(constructed,)X

10204

2898(will)X

10205

3053(take)X

10206

3218(too)X

10207

3351(long)X

10208

3524(and)X

10209

3671(require)X

10210

3930(too)X

10211

864 4683(much)N

10212

1064(space)X

10213

1265(\(the)X

10214

1412(set)X

10215

1523(of)X

10216

1612(all)X

10217

1714(possible)X

10218

1998(program)X

10219

2292(lines)X

10220

2465(is,)X

10221

2560(for)X

10222

2676(all)X

10223

2778(practical)X

10224

3077(purposes,)X

10225

3403(in\256nite\).)X

10226

3717(However,)X

10227

864 4803(we)N

10228

986(can)X

10229

1126(use)X

10230

1261(hashing)X

10231

1538(to)X

10232

1628(map)X

10233

1794(the)X

10234

1920(alphabet)X

10235

2220(to)X

10236

2310(a)X

10237

2374(reasonable)X

10238

2746(size.)X

10239

2939(We)X

10240

3079(\256rst)X

10241

3232(decide)X

10242

3471(the)X

10243

3598(hashing)X

10244

3876(table)X

10245

864 4923(size,)N

10246

1042(which)X

10247

1271(should)X

10248

1517(be)X

10249

1626(large)X

10250

1820(enough)X

10251

2089(to)X

10252

2184(avoid)X

10253

2395(many)X

10254

2606(collisions)X

10255

2944(but)X

10256

3078(not)X

10257

3212(too)X

10258

3346(large)X

10259

3539(so)X

10260

3642(that)X

10261

3794(we)X

10262

3920(can)X

10263

864 5043(afford)N

10264

1088(the)X

10265

1213(space)X

10266

1419(\(e.g.,)X

10267

1609(1024\).)X

10268

1863(The)X

10269

2015(alphabet)X

10270

2314(becomes)X

10271

2622(the)X

10272

2747(set)X

10273

2863(of)X

10274

2957(integers)X

10275

3238(from)X

10276

3421(1)X

10277

3488(to)X

10278

3577(the)X

10279

3703(table)X

10280

3887(size.)X

10281

864 5163(The)N

10282

1020(algorithm)X

10283

1362(is)X

10284

1446(applied)X

10285

1713(to)X

10286

1806(the)X

10287

1935(hash)X

10288

2113(values.)X

10289

2388(At)X

10290

2498(the)X

10291

2626(end,)X

10292

2792(all)X

10293

2902(matches)X

10294

3195(should)X

10295

3438(be)X

10296

3544(checked)X

10297

3838(again,)X

10298

864 5283(however,)N

10299

1186(to)X

10300

1274(remove)X

10301

1541(matchings)X

10302

1896(that)X

10303

2042(result)X

10304

2246(from)X

10305

2428(collisions.)X

10306

2800(We)X

10307

2938(do)X

10308

3044(not)X

10309

3172(support,)X

10310

3458(at)X

10311

3542(this)X

10312

3683(time,)X

10313

3871(large)X

10314

864 5403(alphabets)N

10315

1187(in)X

10316

2 f

10317

1269(agrep)X

10318

1 f

10319

1456(.)X

10320

10321

12 p

10322

%%Page: 12 13

10323

10 s 10 xH 0 xS 1 f

10324

3 f

10325

2408 696(12)N

10326

6 f

10327

14 s

10328

864 984(4.)N

10329

1019(Experim)X

10330

1460(ental)X

10331

1752(Results)X

10332

1 f

10333

10 s

10334

864 1137(We)N

10335

1000(have)X

10336

1176(implemented)X

10337

1618(the)X

10338

1740(algorithm)X

10339

2075(and)X

10340

2215(many)X

10341

2417(of)X

10342

2508(its)X

10343

2607(extensions)X

10344

2969(and)X

10345

3109(tested)X

10346

3320(them)X

10347

3504(against)X

10348

3756(previous)X

10349

864 1257(algorithms.)N

10350

1272(All)X

10351

1400(tests)X

10352

1568(were)X

10353

1751(run)X

10354

1884(on)X

10355

1990(a)X

10356

2051(SUN)X

10357

2236(SparcStation)X

10358

2670(II)X

10359

2749(running)X

10360

3023(UNIX.)X

10361

3289(A)X

10362

3372(description)X

10363

3753(of)X

10364

2 f

10365

3845(agrep)X

10366

1 f

10367

864 1377(\320)N

10368

968(a)X

10369

1028(tool)X

10370

1176(for)X

10371

1294(approximate)X

10372

1719(string)X

10373

1925(matching)X

10374

2247(based)X

10375

2454(on)X

10376

2558(this)X

10377

2697(algorithm,)X

10378

3052(which)X

10379

3272(we)X

10380

3390(used)X

10381

3562(for)X

10382

3681(the)X

10383

3804(experi-)X

10384

864 1497(ments)N

10385

1082(\320)X

10386

1189(is)X

10387

1269(given)X

10388

1474(in)X

10389

1563(the)X

10390

1687(next)X

10391

1851(section.)X

10392

2144(In)X

10393

2237(almost)X

10394

2476(all)X

10395

2582(the)X

10396

2706(cases,)X

10397

2922(our)X

10398

3055(algorithm)X

10399

3392(beat)X

10400

3552(the)X

10401

3676(other)X

10402

3867(algo-)X

10403

864 1617(rithms,)N

10404

1108(sometimes)X

10405

1470(by)X

10406

1570(a)X

10407

1626(wide)X

10408

1802(margin.)X

10409

1064 1770(The)N

10410

1222(numbers)X

10411

1531(given)X

10412

1742(here)X

10413

1914(should)X

10414

2160(be)X

10415

2269(taken)X

10416

2476(with)X

10417

2651(caution.)X

10418

2960(Any)X

10419

3131(such)X

10420

3311(results)X

10421

3554(depend)X

10422

3820(on)X

10423

3934(the)X

10424

864 1890(architecture,)N

10425

1296(the)X

10426

1426(operating)X

10427

1761(system,)X

10428

2035(and)X

10429

2183(the)X

10430

2313(compilers)X

10431

2661(used.)X

10432

2879(We)X

10433

3022(probably)X

10434

3338(put)X

10435

3471(more)X

10436

3667(efforts)X

10437

3908(into)X

10438

864 2010(optimizing)N

10439

1233(our)X

10440

1363(algorithm)X

10441

1697(than)X

10442

1858(we)X

10443

1975(did)X

10444

2100(for)X

10445

2218(other)X

10446

2407(algorithms)X

10447

2773(\(although)X

10448

3104(we)X

10449

3222(put)X

10450

3348(signi\256cant)X

10451

3705(effort)X

10452

3908(into)X

10453

864 2130(that)N

10454

1006(too\),)X

10455

1177(and)X

10456

1315(we)X

10457

1431(did)X

10458

1555(not)X

10459

1679(test)X

10460

1812(all)X

10461

1914(possible)X

10462

2198(scenarios.)X

10463

2559(However,)X

10464

2896(we)X

10465

3012(tried)X

10466

3181(not)X

10467

3304(only)X

10468

3467(to)X

10469

3550(be)X

10470

3647(fair)X

10471

3780(but)X

10472

3903(also)X

10473

864 2250(to)N

10474

946(be)X

10475

1042(conservative.)X

10476

1508(We)X

10477

1640(used)X

10478

1807(the)X

10479

1925(\256nal)X

10480

2087(agrep)X

10481

2286(program)X

10482

2578(for)X

10483

2693(all)X

10484

2794(our)X

10485

2922(tests)X

10486

3085(even)X

10487

3258(though)X

10488

3501(it)X

10489

3566(contains)X

10490

3854(many)X

10491

864 2370(options)N

10492

1126(that)X

10493

1273(slow)X

10494

1451(it)X

10495

1521(down)X

10496

1725(and)X

10497

1867(are)X

10498

1992(not)X

10499

2120(available)X

10500

2436(in)X

10501

2524(the)X

10502

2648(other)X

10503

2839(programs)X

10504

3168(\(e.g.,)X

10505

3357(the)X

10506

3481(fact)X

10507

3628(that)X

10508

3774(agrep)X

10509

3979(is)X

10510

864 2490(record)N

10511

1093(oriented)X

10512

1379(\320)X

10513

1482(see)X

10514

1608(next)X

10515

1769(section)X

10516

2020(\320)X

10517

2124(slows)X

10518

2330(it)X

10519

2398(down)X

10520

2600(considerably\).)X

10521

3101(For)X

10522

3236(the)X

10523

3358(simple)X

10524

3595(cases)X

10525

3789(that)X

10526

3933(are)X

10527

864 2610(listed)N

10528

1065(in)X

10529

1155(the)X

10530

1281(tables)X

10531

1496(below,)X

10532

1740(we)X

10533

1862(sometimes)X

10534

2232(obtained)X

10535

2536(20-30%)X

10536

2818(faster)X

10537

3025(running)X

10538

3302(times)X

10539

3502(with)X

10540

3671(versions)X

10541

3965(of)X

10542

864 2730(the)N

10543

982(program)X

10544

1274(that)X

10545

1414(has)X

10546

1541(only)X

10547

1703(the)X

10548

1821(tested)X

10549

2028(options.)X

10550

2323(We)X

10551

2455(believe)X

10552

2707(that)X

10553

2847(the)X

10554

2965(main)X

10555

3145(strength)X

10556

3423(of)X

10557

3511(this)X

10558

3647(algorithm)X

10559

3979(is)X

10560

864 2850(that)N

10561

1015(it)X

10562

1090(is)X

10563

1174(more)X

10564

1370(\257exible,)X

10565

1661(general,)X

10566

1949(and)X

10567

2096(convenient)X

10568

2479(than)X

10569

2648(all)X

10570

2759(previous)X

10571

3066(algorithms.)X

10572

3479(The)X

10573

3635(fact)X

10574

3787(that)X

10575

3938(for)X

10576

864 2970(most)N

10577

1046(of)X

10578

1140(the)X

10579

1265(common)X

10580

1573(applications)X

10581

1988(of)X

10582

2083(it,)X

10583

2175(agrep)X

10584

2382(is)X

10585

2463(also)X

10586

2620(signi\256cantly)X

10587

3043(faster)X

10588

3250(than)X

10589

3416(other)X

10590

3609(algorithms)X

10591

3979(is)X

10592

864 3090(nice,)N

10593

1038(but)X

10594

1160(speed)X

10595

1363(is)X

10596

1436(mostly)X

10597

1673(a)X

10598

1729(secondary)X

10599

2075(issue)X

10600

2255(here;)X

10601

2456(other)X

10602

2641(algorithms)X

10603

3003(are)X

10604

3122(reasonably)X

10605

3490(fast)X

10606

3626(already.)X

10607

1064 3243(First,)N

10608

1252(we)X

10609

1368(tested)X

10610

1577(searching)X

10611

1907(without)X

10612

2173(errors)X

10613

2384(vs.)X

10614

2498(the)X

10615

2619(grep)X

10616

2785(family)X

10617

3017(of)X

10618

3107(programs)X

10619

3433(available)X

10620

3746(in)X

10621

3831(UNIX)X

10622

864 3363(and)N

10623

1003(against)X

10624

1253(an)X

10625

1351(implementation)X

10626

1875(of)X

10627

1964(the)X

10628

2084(Boyer-Moore)X

10629

2543(algorithm.)X

10630

2916(The)X

10631

3063(text)X

10632

3205(was)X

10633

3352(a)X

10634

3410(bibliography)X

10635

3841(\256le)X

10636

3965(of)X

10637

864 3483(size)N

10638

1012(one)X

10639

1151(Megabytes.)X

10640

1567(We)X

10641

1703(used)X

10642

1874(5)X

10643

1938(patterns)X

10644

2216(of)X

10645

2307(varying)X

10646

2576(sizes)X

10647

2756($4-10$)X

10648

2981(and)X

10649

3121(averaged)X

10650

3436(the)X

10651

3558(results.)X

10652

3831(Agrep)X

10653

864 3603(consistently)N

10654

1284(beats)X

10655

1487(the)X

10656

1623(grep)X

10657

1804(family,)X

10658

2071(but)X

10659

2211(it)X

10660

2293(is)X

10661

2383(not)X

10662

2522(as)X

10663

2626(fast)X

10664

2779(as)X

10665

2883(the)X

10666

3018(Boyer-Moore)X

10667

3492(algorithm.)X

10668

3880(\(The)X

10669

864 3723(Boyer-Moore)N

10670

1321(algorithm)X

10671

1652(cannot)X

10672

1886(be)X

10673

1982(used,)X

10674

2169(as)X

10675

2256(far)X

10676

2366(as)X

10677

2453(we)X

10678

2567(know,)X

10679

2785(for)X

10680

2899(most)X

10681

3074(of)X

10682

3161(the)X

10683

3279(extensions)X

10684

3638(in)X

10685

3721(the)X

10686

3840(previ-)X

10687

864 3843(ous)N

10688

1002(section;)X

10689

1298(even)X

10690

1477(\256nding)X

10691

1730(line)X

10692

1877(numbers)X

10693

2180(for)X

10694

2301(all)X

10695

2408(the)X

10696

2533(matches)X

10697

2823(is)X

10698

2902(not)X

10699

3030(trivial)X

10700

3247(and)X

10701

3389(slows)X

10702

3597(the)X

10703

3721(algorithm)X

10704

864 3963(down)N

10705

1062(considerably.\))X

10706

1064 4116(We)N

10707

1196(then)X

10708

1354(tested)X

10709

1561(the)X

10710

1679(approximate)X

10711

2100(string-matching)X

10712

2627(algorithm)X

10713

2958(against)X

10714

3206(two)X

10715

3347(other)X

10716

3533(algorithms,)X

10717

3916(one)X

10718

864 4236(by)N

10719

969(Ukkonen)X

10720

1288([Uk85a])X

10721

1581(\(which)X

10722

1829(we)X

10723

1948(implemented\))X

10724

2418(and)X

10725

2559(one)X

10726

2699(by)X

10727

2803(Galil)X

10728

2987(and)X

10729

3127(Park)X

10730

3298([GP90])X

10731

3558(\(labeled)X

10732

3841(MN2;)X

10733

864 4356(the)N

10734

983(program)X

10735

1276(was)X

10736

1422(provided)X

10737

1728(to)X

10738

1811(us)X

10739

1903(by)X

10740

2004(W.)X

10741

2121(I.)X

10742

2189(Chang\))X

10743

2446(which)X

10744

2663(is)X

10745

2737(based)X

10746

2941(on)X

10747

3042(another)X

10748

3304(technique)X

10749

3637(by)X

10750

3738(Ukkonen)X

10751

864 4476([Uk85b].)N

10752

1200(The)X

10753

1349(last)X

10754

1484(algorithm)X

10755

1818(was)X

10756

1966(found)X

10757

2176(by)X

10758

2279(Chang)X

10759

2511(and)X

10760

2650(Lawler)X

10761

2901([CL90])X

10762

3160(to)X

10763

3245(be)X

10764

3344(the)X

10765

3465(fastest)X

10766

3693(among)X

10767

3934(the)X

10768

864 4596(algorithms)N

10769

1227(they)X

10770

1386(tested.)X

10771

1635(We)X

10772

1769(used)X

10773

1938(random)X

10774

2205(text)X

10775

2347(\(of)X

10776

2463(size)X

10777

2610(1,000,000\))X

10778

2979(and)X

10779

3117(pattern)X

10780

3362(\(of)X

10781

3478(size)X

10782

3625(20\),)X

10783

3774(and)X

10784

3912(two)X

10785

864 4716(different)N

10786

1166(alphabet)X

10787

1463(sizes.)X

10788

1684(In)X

10789

1776(this)X

10790

1916(case,)X

10791

2099(since)X

10792

2288(we)X

10793

2406(use)X

10794

2537(the)X

10795

2659(idea)X

10796

2817(of)X

10797

2908(partitioning)X

10798

3305(the)X

10799

3427(pattern,)X

10800

3694(the)X

10801

3816(size)X

10802

3965(of)X

10803

864 4836(the)N

10804

983(alphabet)X

10805

1276(makes)X

10806

1502(a)X

10807

1560(big)X

10808

1684(difference.)X

10809

2073(A)X

10810

2153(large)X

10811

2336(alphabet)X

10812

2630(leads)X

10813

2817(to)X

10814

2901(very)X

10815

3066(few)X

10816

3209(accidental)X

10817

3557(exact)X

10818

3749(matches,)X

10819

10 f

10820

1632 5005(i)N

10821

1663(iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii)X

10822

1 f

10823

1680 5125(BM)N

10824

1932(agrep)X

10825

2231(egrep)X

10826

2530(grep)X

10827

2793(fgrep)X

10828

3106(wc)X

10829

10 f

10830

1632 5165(i)N

10831

1663(iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii)X

10832

1 f

10833

1672 5285(0.21)N

10834

1951(0.35)X

10835

2250(0.79)X

10836

2531(1.22)X

10837

2808(1.61)X

10838

3083(1.19)X

10839

10 f

10840

1632 5325(i)N

10841

1663(iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii)X

10842

1632(c)X

10843

5245(c)Y

10844

5165(c)Y

10845

5085(c)Y

10846

3263 5325(c)N

10847

5245(c)Y

10848

5165(c)Y

10849

5085(c)Y

10850

1 f

10851

1758 5478(Table)N

10852

1961(1:)X

10853

2063(Exact)X

10854

2266(matching)X

10855

2584(of)X

10856

2671(simple)X

10857

2904(strings.)X

10858

10859

13 p

10860

%%Page: 13 14

10861

10 s 10 xH 0 xS 1 f

10862

3 f

10863

2408 696(13)N

10864

1 f

10865

864 984(thus)N

10866

1017(the)X

10867

1135(running)X

10868

1404(time)X

10869

1566(is)X

10870

1639(essentially)X

10871

1997(the)X

10872

2115(same)X

10873

2300(as)X

10874

2387(the)X

10875

2505(one)X

10876

2641(for)X

10877

2755(exact)X

10878

2945(matching.)X

10879

3303(A)X

10880

3381(small)X

10881

3574(alphabet)X

10882

3867(leads)X

10883

864 1104(to)N

10884

953(many)X

10885

1158(matches)X

10886

1447(and)X

10887

1589(the)X

10888

1713(algorithm's)X

10889

2108(performance)X

10890

2541(degrades.)X

10891

2893(The)X

10892

3044(case)X

10893

3209(of)X

10894

3302(binary)X

10895

3533(alphabet)X

10896

3831(serves)X

10897

864 1224(as)N

10898

952(the)X

10899

1071(worst)X

10900

1270(case)X

10901

1430(for)X

10902

1545(this)X

10903

1681(purpose.)X

10904

1976(Results)X

10905

2232(are)X

10906

2352(shown)X

10907

2582(in)X

10908

2666(Table)X

10909

2871(2.)X

10910

2973(The)X

10911

3120(\256nal)X

10912

3284(test)X

10913

3417(was)X

10914

3564(for)X

10915

3680(more)X

10916

3867(com-)X

10917

864 1344(plicated)N

10918

1146(patterns,)X

10919

1448(including)X

10920

1778(some)X

10921

1974(of)X

10922

2068(the)X

10923

2193(extensions)X

10924

2558(discussed)X

10925

2892(in)X

10926

2981(the)X

10927

3106(previous)X

10928

3409(section.)X

10929

3703(\(Anything)X

10930

864 1464(within)N

10931

1093(the)X

10932

1216(<>)X

10933

1331(brackets)X

10934

1624(must)X

10935

1804(match)X

10936

2025(exactly;)X

10937

2305(a)X

10938

2367(`#')X

10939

2487(stands)X

10940

2713(for)X

10941

2833(a)X

10942

2895(wild)X

10943

3063(card)X

10944

3228(of)X

10945

3321(arbitrary)X

10946

3624(length;)X

10947

3872(A)X

10948

3956(`;')X

10949

864 1584(serves)N

10950

1088(as)X

10951

1178(the)X

10952

1299(Boolean)X

10953

1589(AND)X

10954

1786(operation,)X

10955

2132(namely)X

10956

2391(all)X

10957

2494(patterns)X

10958

2771(must)X

10959

2949(appear)X

10960

3187(within)X

10961

3413(the)X

10962

3533(same)X

10963

3720(line;)X

10964

3904(a)X

10965

3962(`)X

10966

9 f

10967

3989(|)X

10968

1 f

10969

(')S

10970

864 1704(is)N

10971

937(the)X

10972

1055(regular)X

10973

1303(expression)X

10974

1666(union)X

10975

1868(operation;)X

10976

2213(and)X

10977

2349(a)X

10978

2405(`*')X

10979

2519(is)X

10980

2592(the)X

10981

2710(Kleene)X

10982

2958(closure.\))X

10983

3277(The)X

10984

3422(results)X

10985

3651(are)X

10986

3771(given)X

10987

3970(in)X

10988

864 1824(Table)N

10989

1068(3)X

10990

1129(\(the)X

10991

1275(\256le)X

10992

1398(was)X

10993

1544(the)X

10994

1663(same)X

10995

1849(bibliographic)X

10996

2297(\256le)X

10997

2420(used)X

10998

2588(in)X

10999

2671(Table)X

11000

2874(1\).)X

11001

3001(The)X

11002

3146(best)X

11003

3295(algorithm)X

11004

3626(we)X

11005

3740(know)X

11006

3938(for)X

11007

864 1944(approximate)N

11008

1291(matching)X

11009

1615(to)X

11010

1703(arbitrary)X

11011

2006(regular)X

11012

2260(expressions)X

11013

2660(is)X

11014

2739(by)X

11015

2846(Myers)X

11016

3078(and)X

11017

3221(Miller)X

11018

3448([MM89].)X

11019

3791(Its)X

11020

3898(run-)X

11021

864 2064(ning)N

11022

1034(times)X

11023

1235(for)X

11024

1357(the)X

11025

1483(cases)X

11026

1681(we)X

11027

1803(tested)X

11028

2018(were)X

11029

2203(more)X

11030

2396(than)X

11031

2562(an)X

11032

2666(order)X

11033

2864(of)X

11034

2959(magnitude)X

11035

3325(slower)X

11036

3567(than)X

11037

3733(our)X

11038

3867(algo-)X

11039

864 2184(rithm,)N

11040

1083(but)X

11041

1211(this)X

11042

1352(is)X

11043

1431(not)X

11044

1559(a)X

11045

1621(fair)X

11046

1759(test,)X

11047

1916(because)X

11048

2197(Myers)X

11049

2428(and)X

11050

2570(Miller's)X

11051

2854(algorithm)X

11052

3191(can)X

11053

3329(handle)X

11054

3569(arbitrary)X

11055

3872(costs)X

11056

864 2304(\(which)N

11057

1120(we)X

11058

1246(cannot)X

11059

1492(handle\))X

11060

1765(and)X

11061

1913(its)X

11062

2020(running)X

11063

2301(time)X

11064

2475(is)X

11065

2560(independent)X

11066

2984(of)X

11067

3083(the)X

11068

3213(number)X

11069

3490(of)X

11070

3589(errors)X

11071

3809(\(which)X

11072

864 2424(makes)N

11073

1089(it)X

11074

1153(high)X

11075

1315(for)X

11076

1429(small)X

11077

1622(errors\).)X

11078

10 f

11079

1381 2746(i)N

11080

1394(iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii)X

11081

1 f

11082

1726 2866(agrep)N

11083

2501(MN2)X

11084

3111(Uk85a)X

11085

9 f

11086

1706 2986(S)N

11087

1 f

11088

1773(=)X

11089

1838(2)X

11090

9 f

11091

1998(S)X

11092

1 f

11093

2065(=)X

11094

2130(30)X

11095

9 f

11096

2334(S)X

11097

1 f

11098

2401(=)X

11099

2466(2)X

11100

9 f

11101

2630(S)X

11102

1 f

11103

2697(=)X

11104

2762(30)X

11105

9 f

11106

2966(S)X

11107

1 f

11108

3033(=)X

11109

3098(2)X

11110

9 f

11111

3262(S)X

11112

1 f

11113

3329(=)X

11114

3394(30)X

11115

10 f

11116

1381 3026(i)N

11117

1394(iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii)X

11118

1 f

11119

1421 3146(k)N

11120

1481(=)X

11121

1546(0)X

11122

1722(0.35)X

11123

2034(0.35)X

11124

2350(1.21)X

11125

2666(0.98)X

11126

2982(2.36)X

11127

3298(0.90)X

11128

1421 3266(k)N

11129

1481(=)X

11130

1546(1)X

11131

1722(0.52)X

11132

2034(0.38)X

11133

2350(3.03)X

11134

2666(2.42)X

11135

2982(5.01)X

11136

3298(2.06)X

11137

1421 3386(k)N

11138

1481(=)X

11139

1546(2)X

11140

1722(1.78)X

11141

2034(0.38)X

11142

2350(4.94)X

11143

2666(3.87)X

11144

2982(7.93)X

11145

3298(3.19)X

11146

1421 3506(k)N

11147

1481(=)X

11148

1546(3)X

11149

1722(2.56)X

11150

2034(0.39)X

11151

2350(6.68)X

11152

2666(5.33)X

11153

2962(11.80)X

11154

3298(4.38)X

11155

1421 3626(k)N

11156

1481(=)X

11157

1546(4)X

11158

1722(3.83)X

11159

2034(0.41)X

11160

2350(8.72)X

11161

2666(6.89)X

11162

2962(13.40)X

11163

3298(5.55)X

11164

1421 3746(k)N

11165

1481(=)X

11166

1546(5)X

11167

1722(4.42)X

11168

2034(0.42)X

11169

2330(10.41)X

11170

2666(8.28)X

11171

2962(15.45)X

11172

3298(6.77)X

11173

1421 3866(k)N

11174

1481(=)X

11175

1546(6)X

11176

1722(5.13)X

11177

2034(0.73)X

11178

2330(11.83)X

11179

2666(9.75)X

11180

2962(17.07)X

11181

3298(7.99)X

11182

10 f

11183

1381 3906(i)N

11184

1394(iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii)X

11185

1381(c)X

11186

3866(c)Y

11187

3786(c)Y

11188

3706(c)Y

11189

3626(c)Y

11190

3546(c)Y

11191

3466(c)Y

11192

3386(c)Y

11193

3306(c)Y

11194

3226(c)Y

11195

3146(c)Y

11196

3066(c)Y

11197

2986(c)Y

11198

2906(c)Y

11199

2826(c)Y

11200

1646 3906(c)N

11201

3826(c)Y

11202

3746(c)Y

11203

3666(c)Y

11204

3586(c)Y

11205

3506(c)Y

11206

3426(c)Y

11207

3346(c)Y

11208

3266(c)Y

11209

3186(c)Y

11210

3106(c)Y

11211

2270 3906(c)N

11212

3866(c)Y

11213

3786(c)Y

11214

3706(c)Y

11215

3626(c)Y

11216

3546(c)Y

11217

3466(c)Y

11218

3386(c)Y

11219

3306(c)Y

11220

3226(c)Y

11221

3146(c)Y

11222

3066(c)Y

11223

2986(c)Y

11224

2906(c)Y

11225

2826(c)Y

11226

2902 3906(c)N

11227

3866(c)Y

11228

3786(c)Y

11229

3706(c)Y

11230

3626(c)Y

11231

3546(c)Y

11232

3466(c)Y

11233

3386(c)Y

11234

3306(c)Y

11235

3226(c)Y

11236

3146(c)Y

11237

3066(c)Y

11238

2986(c)Y

11239

2906(c)Y

11240

2826(c)Y

11241

3514 3906(c)N

11242

3866(c)Y

11243

3786(c)Y

11244

3706(c)Y

11245

3626(c)Y

11246

3546(c)Y

11247

3466(c)Y

11248

3386(c)Y

11249

3306(c)Y

11250

3226(c)Y

11251

3146(c)Y

11252

3066(c)Y

11253

2986(c)Y

11254

2906(c)Y

11255

2826(c)Y

11256

1 f

11257

1537 4123(Table)N

11258

1740(2:)X

11259

1842(Approximate)X

11260

2285(string)X

11261

2487(matching)X

11262

2805(of)X

11263

2892(simple)X

11264

3125(strings.)X

11265

10 f

11266

1335 4292(i)N

11267

1361(iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii)X

11268

1 f

11269

1375 4412(pattern)N

11270

2501(k)X

11271

2561(=)X

11272

2626(0)X

11273

2786(k)X

11274

2846(=)X

11275

2911(1)X

11276

3071(k)X

11277

3131(=)X

11278

3196(2)X

11279

3356(k)X

11280

3416(=)X

11281

3481(3)X

11282

10 f

11283

1335 4452(i)N

11284

1361(iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii)X

11285

1 f

11286

1375 4572(Homogenious)N

11287

2513(0.35)X

11288

2798(0.39)X

11289

3083(0.41)X

11290

3368(0.47)X

11291

1375 4692(<Hom>ogenious)N

11292

2513(0.53)X

11293

2798(1.10)X

11294

3083(1.42)X

11295

3368(1.74)X

11296

1375 4812(JACM;)N

11297

1630(1981;)X

11298

1832(Graph)X

11299

2513(0.53)X

11300

2798(1.10)X

11301

3083(1.43)X

11302

3368(1.75)X

11303

1375 4932(Prob#tic;)N

11304

1688(Algo#m)X

11305

2513(0.55)X

11306

2798(1.10)X

11307

3083(1.42)X

11308

3368(1.76)X

11309

1375 5052(<[CJ]ACM>;)N

11310

1827(Prob#tic;)X

11311

2140(trees)X

11312

2513(0.54)X

11313

2798(1.11)X

11314

3083(1.43)X

11315

3368(1.75)X

11316

1375 5172($<[23]>\$N

11317

9 f

11318

1648(-)X

11319

1 f

11320

1692([23]*)X

11321

9 f

11322

1866(|)X

11323

1 f

11324

(<B>\).*<Tr>ees)S

11325

2513(0.66)X

11326

2798(1.53)X

11327

3083(2.19)X

11328

3368(2.83)X

11329

10 f

11330

1335 5212(i)N

11331

1361(iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii)X

11332

1335(c)X

11333

5172(c)Y

11334

5092(c)Y

11335

5012(c)Y

11336

4932(c)Y

11337

4852(c)Y

11338

4772(c)Y

11339

4692(c)Y

11340

4612(c)Y

11341

4532(c)Y

11342

4452(c)Y

11343

4372(c)Y

11344

3561 5212(c)N

11345

5172(c)Y

11346

5092(c)Y

11347

5012(c)Y

11348

4932(c)Y

11349

4852(c)Y

11350

4772(c)Y

11351

4692(c)Y

11352

4612(c)Y

11353

4532(c)Y

11354

4452(c)Y

11355

4372(c)Y

11356

1 f

11357

1528 5429(Table)N

11358

1731(3:)X

11359

1833(Approximate)X

11360

2276(matching)X

11361

2594(of)X

11362

2681(complicated)X

11363

3093(patterns.)X

11364

11365

14 p

11366

%%Page: 14 15

11367

10 s 10 xH 0 xS 1 f

11368

3 f

11369

2408 696(14)N

11370

6 f

11371

14 s

11372

864 984(5.)N

11373

1019(A)X

11374

1131(Description)X

11375

1777(of)X

11376

1914(agrep)X

11377

2 f

11378

10 s

11379

864 1137(agrep)N

11380

1 f

11381

1078(is)X

11382

1158(used)X

11383

1332(similarly)X

11384

1643(to)X

11385

1732(egrep)X

11386

1938(and)X

11387

2082(it)X

11388

2154(supports)X

11389

2453(most)X

11390

2636(of)X

11391

2731(the)X

11392

2857(features)X

11393

3140(of)X

11394

3235(egrep)X

11395

3442(\(although)X

11396

3777(it)X

11397

3849(is)X

11398

3930(not)X

11399

864 1257(100%)N

11400

1079(compatible\))X

11401

1490(and)X

11402

1634(many)X

11403

1840(additional)X

11404

2188(features.)X

11405

2511(One)X

11406

2673(notable)X

11407

2936(difference)X

11408

3290(between)X

11409

3585(agrep)X

11410

3791(and)X

11411

3934(the)X

11412

864 1377(grep)N

11413

1042(family)X

11414

1286(\(besides)X

11415

1584(the)X

11416

1717(additional)X

11417

2072(features\))X

11418

2389(is)X

11419

2477(that)X

11420

2632(agrep)X

11421

2846(is)X

11422

2 f

11423

2934(record)X

11424

3184(oriented)X

11425

1 f

11426

3487(\(rather)X

11427

3738(than)X

11428

3912(line)X

11429

864 1497(oriented\).)N

11430

1230(A)X

11431

1324(record)X

11432

1566(is)X

11433

1655(de\256ned)X

11434

1927(by)X

11435

2043(the)X

11436

2176(user)X

11437

2345(\(with)X

11438

2549(the)X

11439

2682(default)X

11440

2940(being)X

11441

3153(a)X

11442

3224(line\).)X

11443

3446(Agrep)X

11444

3682(outputs)X

11445

3952(all)X

11446

864 1617(records)N

11447

1135(that)X

11448

1289(match)X

11449

1519(the)X

11450

1651(query)X

11451

1868(\(see)X

11452

2032(also)X

11453

2195(the)X

11454

2327(-d)X

11455

2428(option)X

11456

2666(described)X

11457

3008(below\).)X

11458

3305(Agrep)X

11459

3540(is)X

11460

3627(available)X

11461

3952(by)X

11462

864 1737(anonymous)N

11463

1253(ftp)X

11464

1362(from)X

11465

1538(cs.arizona.edu)X

11466

2018(\(IP)X

11467

2136(number)X

11468

2401(192.12.69.5\).)X

11469

3 f

11470

1008 1921(agrep)N

11471

1 f

11472

2 f

11473

1250(pattern)X

11474

1 f

11475

1527(\256le-name)X

11476

1856(\320)X

11477

1962(\256nds)X

11478

2143(all)X

11479

2249 0.3125(occurrences)AX

11480

2661(of)X

11481

2 f

11482

2755(pattern)X

11483

1 f

11484

3013(\(that)X

11485

3187(is,)X

11486

3287(output)X

11487

3518(all)X

11488

3625(records)X

11489

3889(con-)X

11490

864 2041(taining)N

11491

2 f

11492

1107(pattern)X

11493

1 f

11494

1338(\))X

11495

1386(in)X

11496

1469(the)X

11497

1588(text)X

11498

1729(\256le)X

11499

1852(\256le-name)X

11500

2176(without)X

11501

2441(errors.)X

11502

2690(The)X

11503

2836(pattern)X

11504

3080(can)X

11505

3213(be)X

11506

3310(a)X

11507

3367(string)X

11508

3570(or)X

11509

3658(an)X

11510

3755(arbitrary)X

11511

864 2161(regular)N

11512

1114(expression.)X

11513

1519(We)X

11514

1653(describe)X

11515

1943(below)X

11516

2162(the)X

11517

2283(unusual)X

11518

2555(features)X

11519

2833(of)X

11520

2923(agrep)X

11521

3125(that)X

11522

3268(are)X

11523

3390(not)X

11524

3515(found)X

11525

3725(in)X

11526

3810(similar)X

11527

864 2281(programs.)N

11528

1227(A)X

11529

1305(complete)X

11530

1619(description)X

11531

1995(is)X

11532

2068(given)X

11533

2266(in)X

11534

2348(the)X

11535

2466(manual)X

11536

2722(pages)X

11537

2925(distributed)X

11538

3287(with)X

11539

3449(agrep.)X

11540

864 2434(-)N

11541

2 f

11542

891(k)X

11543

1 f

11544

1064(\256nds)X

11545

1240(all)X

11546

1341 0.3125(occurrences)AX

11547

1747(with)X

11548

1910(at)X

11549

1989(most)X

11550

2 f

11551

2165(k)X

11552

1 f

11553

2222(errors)X

11554

2431(\(insertions,)X

11555

2810(deletions,)X

11556

3141(or)X

11557

3230(substitutions\),)X

11558

3702(where)X

11559

2 f

11560

3921(k)X

11561

1 f

11562

3979(is)X

11563

1064 2554(a)N

11564

1120(positive)X

11565

1393(integer.)X

11566

864 2707(-D)N

11567

2 f

11568

949(c)X

11569

1 f

11570

1064(each)X

11571

1232(deletion)X

11572

1510(counts)X

11573

1739(as)X

11574

2 f

11575

1826(c)X

11576

1 f

11577

1882(errors;)X

11578

2 f

11579

2112(c)X

11580

1 f

11581

2168(must)X

11582

2343(be)X

11583

2439(a)X

11584

2495(non-negative)X

11585

2934(integer;)X

11586

3199(the)X

11587

3317(default)X

11588

3560(value)X

11589

3754(of)X

11590

2 f

11591

3841(c)X

11592

1 f

11593

3897(is)X

11594

3970(1)X

11595

864 2860(-I)N

11596

2 f

11597

918(c)X

11598

1 f

11599

1064(each)X

11600

1232(insertion)X

11601

1532(counts)X

11602

1761(as)X

11603

2 f

11604

1848(c)X

11605

1 f

11606

1904(errors;)X

11607

2 f

11608

2134(c)X

11609

1 f

11610

2190(must)X

11611

2365(be)X

11612

2461(a)X

11613

2517(non-negative)X

11614

2956(integer;)X

11615

3221(the)X

11616

3339(default)X

11617

3582(value)X

11618

3776(of)X

11619

2 f

11620

3863(c)X

11621

1 f

11622

3919(is)X

11623

3992(1)X

11624

864 3013(-S)N

11625

2 f

11626

935(c)X

11627

1 f

11628

1064(each)X

11629

1234(substitution)X

11630

1628(counts)X

11631

1859(as)X

11632

2 f

11633

1948(c)X

11634

1 f

11635

2006(errors;)X

11636

2 f

11637

2238(c)X

11638

1 f

11639

2296(must)X

11640

2474(be)X

11641

2573(a)X

11642

2632(non-negative)X

11643

3074(integer;)X

11644

3342(the)X

11645

3463(default)X

11646

3709(value)X

11647

3906(of)X

11648

2 f

11649

3996(c)X

11650

1 f

11651

1064 3133(is)N

11652

1137(1)X

11653

864 3286(-d)N

11654

951(`)X

11655

3 f

11656

978(delim)X

11657

1 f

11658

1169(')X

11659

3 f

11660

1064 3406(delim)N

11661

1 f

11662

1282(is)X

11663

1362(a)X

11664

1425(user-de\256ned)X

11665

1849(symbol)X

11666

2111(\(or)X

11667

2232(string\))X

11668

2468(for)X

11669

2589(record)X

11670

2823(delimiter)X

11671

3140(\(the)X

11672

3293(default)X

11673

3544(is)X

11674

3625(the)X

11675

3751(new-line)X

11676

1064 3526(symbol\).)N

11677

1386(This)X

11678

1548(enables)X

11679

1809(searching)X

11680

2137(paragraphs)X

11681

2510(\(in)X

11682

2619(which)X

11683

2835(case)X

11684

3 f

11685

2994(delim)X

11686

1 f

11687

3205(=)X

11688

3270(2)X

11689

3330(new)X

11690

3484(lines)X

11691

3655(in)X

11692

3737(a)X

11693

3793(row\))X

11694

3965(or)X

11695

1064 3646(mail)N

11696

1239(messages)X

11697

1575(\()X

11698

3 f

11699

1602(delim)X

11700

1 f

11701

1826(=)X

11702

1904('\303From)X

11703

2151('\).)X

11704

2278(This)X

11705

2453(feature)X

11706

2710(makes)X

11707

2948(agrep)X

11708

3160(a)X

11709

3230(record-oriented)X

11710

3760(program)X

11711

1064 3766(rather)N

11712

1272(than)X

11713

1430(just)X

11714

1565(a)X

11715

1621(line-oriented)X

11716

2051(program.)X

11717

2383(We)X

11718

2515(believe)X

11719

2767(that)X

11720

2907(it)X

11721

2971(will)X

11722

3115(be)X

11723

3211(very)X

11724

3374(useful.)X

11725

6 f

11726

12 s

11727

864 3919(Examples)N

11728

2 f

11729

10 s

11730

864 4072(agrep)N

11731

1 f

11732

1071(-3)X

11733

1158(-D2)X

11734

1064 4192(\256nds)N

11735

1250(all)X

11736

1361 0.3125(occurrences)AX

11737

1777(with)X

11738

1950(at)X

11739

2039(most)X

11740

2225(3)X

11741

2297(errors)X

11742

2517(where)X

11743

2746(a)X

11744

2814(deletion)X

11745

3104(counts)X

11746

3345(as)X

11747

3444(2)X

11748

3516(errors)X

11749

3736(and)X

11750

3884(each)X

11751

1064 4312(insertion)N

11752

1364(or)X

11753

1451(substitution)X

11754

1843(counts)X

11755

2072(as)X

11756

2159(one)X

11757

2295(error.)X

11758

2 f

11759

864 4465(agrep)N

11760

1 f

11761

1071(-4)X

11762

1158(-I5)X

11763

1064 4585(\256nds)N

11764

1246(all)X

11765

1353 0.3125(occurrences)AX

11766

1765(with)X

11767

1934(at)X

11768

2019(most)X

11769

2201(4)X

11770

2268(errors)X

11771

2483(but)X

11772

2612(no)X

11773

2719(insertions)X

11774

3057(allowed)X

11775

3338(\(because)X

11776

3647(their)X

11777

3822(cost)X

11778

3979(is)X

11779

1064 4705(prohibited\).)N

11780

864 4858(agrep)N

11781

1063(-d)X

11782

1150('\303From)X

11783

1397(')X

11784

1444('breakdown;)X

11785

1870(\(inter)X

11786

9 f

11787

2044(|)X

11788

1 f

11789

(arpa)S

11790

9 f

11791

2199(|)X

11792

1 f

11793

(bit\)net')S

11794

1064 4978(outputs)N

11795

1324(all)X

11796

1429(mail)X

11797

1596(messages)X

11798

1924(\(the)X

11799

2074(pattern)X

11800

2322('\303From)X

11801

2569(')X

11802

2621(separates)X

11803

2942(mail)X

11804

3110(messages)X

11805

3439(in)X

11806

3527(a)X

11807

3589(mail)X

11808

3757(\256le\))X

11809

3912(that)X

11810

1064 5098(contain)N

11811

1320(breakdown)X

11812

1697(and)X

11813

1833(one)X

11814

1969(of)X

11815

2056(either)X

11816

2259(internet,)X

11817

2544(arpanet,)X

11818

2821(or)X

11819

2908(bitnet.)X

11820

2 f

11821

864 5251(agrep)N

11822

1 f

11823

1071(-d)X

11824

1158('$$')X

11825

1312(-1)X

11826

1399('<word1>)X

11827

1761(<word2>')X

11828

1064 5371(\256nds)N

11829

1248(all)X

11830

1357(paragraphs)X

11831

1739(that)X

11832

1888(contain)X

11833

2153(word1)X

11834

2387(followed)X

11835

2701(by)X

11836

2810(word2)X

11837

3044(with)X

11838

3215(one)X

11839

3360(error)X

11840

3546(in)X

11841

3637(place)X

11842

3837(of)X

11843

3934(the)X

11844

1064 5491(blank)N

11845

1264(between)X

11846

1554(the)X

11847

1673(words)X

11848

1890(\(the)X

11849

2036(<>)X

11850

2147(indicate)X

11851

2422(that)X

11852

2563(no)X

11853

2664(error)X

11854

2842(is)X

11855

2916(allowed)X

11856

3191(inside;)X

11857

3425(see)X

11858

3549(section)X

11859

3797(3.4\).)X

11860

3965(In)X

11861

1064 5611(particular,)N

11862

1412(if)X

11863

1481(word1)X

11864

1706(is)X

11865

1779(the)X

11866

1897(last)X

11867

2028(word)X

11868

2213(in)X

11869

2295(a)X

11870

2351(line)X

11871

2491(and)X

11872

2627(word2)X

11873

2852(is)X

11874

2925(the)X

11875

3043(\256rst)X

11876

3187(word)X

11877

3372(in)X

11878

3455(the)X

11879

3574(next)X

11880

3733(line,)X

11881

3894(then)X

11882

11883

15 p

11884

%%Page: 15 16

11885

10 s 10 xH 0 xS 1 f

11886

3 f

11887

2408 696(15)N

11888

1 f

11889

1064 984(the)N

11890

1187(space)X

11891

1391(will)X

11892

1540(be)X

11893

1641(substituted)X

11894

2012(by)X

11895

2117(a)X

11896

2178(newline)X

11897

2457(symbol)X

11898

2716(and)X

11899

2856(it)X

11900

2924(will)X

11901

3072(match.)X

11902

3332(Thus,)X

11903

3536(this)X

11904

3675(is)X

11905

3752(a)X

11906

3812(way)X

11907

3970(to)X

11908

1064 1104(overcome)N

11909

1407(separation)X

11910

1763(by)X

11911

1869(a)X

11912

1931(newline.)X

11913

2251(Note)X

11914

2433(that)X

11915

2579(-d)X

11916

2672('')X

11917

2752(\(or)X

11918

2873(another)X

11919

3141(delim)X

11920

3350(that)X

11921

3497(spans)X

11922

3702(more)X

11923

3894(than)X

11924

1064 1224(one)N

11925

1200(line\))X

11926

1367(is)X

11927

1440(necessary,)X

11928

1793(because)X

11929

2068(otherwise)X

11930

2400(agrep)X

11931

2599(searches)X

11932

2892(only)X

11933

3054(one)X

11934

3190(line)X

11935

3330(at)X

11936

3408(a)X

11937

3464(time.)X

11938

6 f

11939

14 s

11940

864 1496(6.)N

11941

1019 -0.3063(Conclusions)AX

11942

1 f

11943

10 s

11944

864 1649(Searching)N

11945

1208(text)X

11946

1351(in)X

11947

1436(the)X

11948

1557(presence)X

11949

1862(of)X

11950

1952(errors)X

11951

2163(is)X

11952

2239(commonly)X

11953

2604(done)X

11954

2783(`by)X

11955

2914(hand')X

11956

3121(\320)X

11957

3225(one)X

11958

3365(tries)X

11959

3527(all)X

11960

3631(possibilities.)X

11961

864 1769(This)N

11962

1033(is)X

11963

1113(frustrating,)X

11964

1494(slow,)X

11965

1692(and)X

11966

1834(with)X

11967

2002(no)X

11968

2108(guarantee)X

11969

2447(of)X

11970

2540(success.)X

11971

2847(The)X

11972

2998(new)X

11973

3158(algorithm)X

11974

3495(presented)X

11975

3829(in)X

11976

3917(this)X

11977

864 1889(paper)N

11978

1073(for)X

11979

1197(searching)X

11980

1535(with)X

11981

1707(errors)X

11982

1925(can)X

11983

2068(alleviate)X

11984

2371(this)X

11985

2517(problem)X

11986

2815(and)X

11987

2962(make)X

11988

3167(searching)X

11989

3506(in)X

11990

3599(general)X

11991

3867(more)X

11992

864 2009(robust.)N

11993

1127(It)X

11994

1198(also)X

11995

1349(makes)X

11996

1576(searching)X

11997

1906(more)X

11998

2093(convenient)X

11999

2467(by)X

12000

2569(not)X

12001

2693(having)X

12002

2933(to)X

12003

3017(spell)X

12004

3190(everything)X

12005

3555(precisely.)X

12006

3907(The)X

12007

864 2129(algorithm)N

12008

1195(is)X

12009

1268(very)X

12010

1431(fast)X

12011

1567(and)X

12012

1703(general)X

12013

1960(and)X

12014

2096(it)X

12015

2160(should)X

12016

2393(\256nd)X

12017

2537(numerous)X

12018

2873(applications.)X

12019

1064 2282(There)N

12020

1273(is)X

12021

1347(one)X

12022

1484(important)X

12023

1816(area)X

12024

1972(of)X

12025

2060(searching)X

12026

2389(with)X

12027

2552(errors)X

12028

2761(that)X

12029

2902(we)X

12030

3017(did)X

12031

3140(not)X

12032

3263(address)X

12033

3525(\320)X

12034

3626(searching)X

12035

3956(an)X

12036

864 2402(indexed)N

12037

1147(\256le.)X

12038

1318(Throughout)X

12039

1725(the)X

12040

1852(paper)X

12041

2060(we)X

12042

2183(assumed)X

12043

2488(that)X

12044

2637(the)X

12045

2764(\256les)X

12046

2926(are)X

12047

3054(not)X

12048

3185(indexed)X

12049

3468 0.2500($preprocessed$)AX

12050

3970(in)X

12051

864 2522(any)N

12052

1000(way,)X

12053

1174(thus)X

12054

1327(a)X

12055

1383(sequential)X

12056

1728(scan)X

12057

1891(through)X

12058

2160(them)X

12059

2340(is)X

12060

2413(necessary.)X

12061

2786(We)X

12062

2918(believe)X

12063

3170(that)X

12064

3311(the)X

12065

3430(problem)X

12066

3718(of)X

12067

3806(\256nding)X

12068

864 2642(good)N

12069

1060(indexing)X

12070

1376(schemes)X

12071

1684(that)X

12072

1840(allow)X

12073

2053(approximate)X

12074

2489(search)X

12075

2730(is)X

12076

2818(the)X

12077

2951(main)X

12078

3146(open)X

12079

3337(problem)X

12080

3639(is)X

12081

3727(this)X

12082

3877(area.)X

12083

864 2762(Unfortunately,)N

12084

1355(we)X

12085

1470(do)X

12086

1571(not)X

12087

1694(know)X

12088

1893(of)X

12089

1981(any)X

12090

2118(satisfactory)X

12091

2509(solution)X

12092

2787(at)X

12093

2866(this)X

12094

3002(point.)X

12095

3228(However,)X

12096

3565(with)X

12097

3729(the)X

12098

3849(speed)X

12099

864 2882(of)N

12100

957(current)X

12101

1211(computers,)X

12102

1590(scanning)X

12103

1900(large)X

12104

2086(\256les)X

12105

2244(\(up)X

12106

2376(to)X

12107

2463(tens)X

12108

2617(of)X

12109

2709(megabytes\))X

12110

3104(can)X

12111

3241(be)X

12112

3342(done)X

12113

3523(reasonably)X

12114

3896(fast.)X

12115

864 3002(One)N

12116

1023(can)X

12117

1160(argue)X

12118

1364(that)X

12119

1509(the)X

12120

1632(size)X

12121

1782(of)X

12122

1874(our)X

12123

2006(data)X

12124

2165(increases)X

12125

2485(as)X

12126

2577(our)X

12127

2709(speed)X

12128

2918(of)X

12129

3011(processing)X

12130

3380(it)X

12131

3450(increases.)X

12132

3811(This)X

12133

3979(is)X

12134

864 3122(certainly)N

12135

1173(true)X

12136

1326(for)X

12137

1448(some)X

12138

1645(applications,)X

12139

2079(but)X

12140

2208(not)X

12141

2337(for)X

12142

2458(all.)X

12143

2605(Many)X

12144

2819(applications)X

12145

3233(have)X

12146

3412(an)X

12147

3515(upper)X

12148

3725(bound)X

12149

3952(on)X

12150

864 3242(size)N

12151

1009(and)X

12152

1145(sequential)X

12153

1490(search)X

12154

1716(for)X

12155

1830(those)X

12156

2019(applications)X

12157

2426(will)X

12158

2570(be)X

12159

2666(realistic.)X

12160

6 f

12161

14 s

12162

864 3482(Acknowledgem)N

12163

1683(ents:)X

12164

1 f

12165

10 s

12166

864 3635(We)N

12167

1000(thank)X

12168

1202(Ricardo)X

12169

1480(Baeza-Yates,)X

12170

1931(Gene)X

12171

2125(Myers,)X

12172

2375(and)X

12173

2516(Chunghwa)X

12174

2888(H.)X

12175

2991(Rao)X

12176

3145(for)X

12177

3264(many)X

12178

3467(helpful)X

12179

3719(conversa-)X

12180

864 3755(tions)N

12181

1051(about)X

12182

1261(approximate)X

12183

1694(string)X

12184

1908(matching)X

12185

2238(and)X

12186

2386(for)X

12187

2512(comments)X

12188

2873(that)X

12189

3025(improved)X

12190

3364(the)X

12191

3493(manuscript.)X

12192

3920(We)X

12193

864 3875(thank)N

12194

1084(Ric)X

12195

1237(Anderson,)X

12196

1611(Cliff)X

12197

1804(Hathaway,)X

12198

2192(and)X

12199

2351(Shu-Ing)X

12200

2652(Tsuei)X

12201

2873(for)X

12202

3010(their)X

12203

3200(help)X

12204

3381(and)X

12205

3540(comments)X

12206

3912(that)X

12207

864 3995(improved)N

12208

1193(the)X

12209

1312(implementation)X

12210

1835(of)X

12211

1923(agrep.)X

12212

2163(We)X

12213

2296(also)X

12214

2446(thank)X

12215

2645(William)X

12216

2928(I.)X

12217

2996(Chang)X

12218

3226(for)X

12219

3341(kindly)X

12220

3566(providing)X

12221

3898(pro-)X

12222

864 4115(grams)N

12223

1080(for)X

12224

1194(some)X

12225

1383(of)X

12226

1470(the)X

12227

1588(experiments.)X

12228

6 f

12229

14 s

12230

864 4355(References)N

12231

1 f

12232

10 s

12233

864 4628([BG89])N

12234

1064 4748(Baeza-Yates)N

12235

1492(R.)X

12236

1586(A.,)X

12237

1705(and)X

12238

1842(G.)X

12239

1941(H.)X

12240

2040(Gonnet,)X

12241

2317(``A)X

12242

2450(new)X

12243

2605(approach)X

12244

2921(to)X

12245

3004(text)X

12246

3145(searching,'')X

12247

2 f

12248

3548(Proceedings)X

12249

3970(of)X

12250

1064 4868(the)N

12251

1192(12th)X

12252

1364(Annual)X

12253

1624(ACM-SIGIR)X

12254

2050(conference)X

12255

2432(on)X

12256

2541(Information)X

12257

2952(Retrieval,)X

12258

1 f

12259

3295(Cambridge,)X

12260

3700(MA)X

12261

3858(\(June)X

12262

1064 4988(1989\),)N

12263

1291(pp.)X

12264

1411(168)X

12265

9 f

12266

(-)S

12267

1 f

12268

1575(175.)X

12269

864 5141([BM77])N

12270

1064 5261(Boyer)N

12271

1284(R.)X

12272

1381(S.,)X

12273

1489(and)X

12274

1629(J.)X

12275

1704(S.)X

12276

1793(Moore,)X

12277

2052(``A)X

12278

2189(fast)X

12279

2330(string)X

12280

2537(searching)X

12281

2870(algorithm,'')X

12282

2 f

12283

3280(Communications)X

12284

3847(of)X

12285

3934(the)X

12286

1064 5381(ACM,)N

12287

3 f

12288

1273(20)X

12289

1 f

12290

1373(\(October)X

12291

1679(1977\),)X

12292

1906(pp.)X

12293

2026(762)X

12294

9 f

12295

(-)S

12296

1 f

12297

2190(772.)X

12298

864 5534([CL90])N

12299

1064 5654(Chang)N

12300

1294(W.)X

12301

1411(I.,)X

12302

1499(and)X

12303

1636(E.)X

12304

1726(L.)X

12305

1816(Lawler,)X

12306

2085(``Approximate)X

12307

2584(string)X

12308

2788(matching)X

12309

3108(in)X

12310

3192(sublinear)X

12311

3508(expected)X

12312

3816(time,'')X

12313

12314

16 p

12315

%%Page: 16 17

12316

10 s 10 xH 0 xS 1 f

12317

3 f

12318

2408 696(16)N

12319

1 f

12320

1064 984(FOCS)N

12321

1283(90,)X

12322

1403(pp.)X

12323

1523(116)X

12324

9 f

12325

(-)S

12326

1 f

12327

1687(124.)X

12328

864 1137([GG88])N

12329

1064 1257(Galil)N

12330

1250(Z.,)X

12331

1365(and)X

12332

1507(R.)X

12333

1606(Giancarlo,)X

12334

1969(``Data)X

12335

2201(structures)X

12336

2539(and)X

12337

2682(algorithms)X

12338

3051(for)X

12339

3172(approximate)X

12340

3600(string)X

12341

3809(match-)X

12342

1064 1377(ing,'')N

12343

2 f

12344

1260(Journal)X

12345

1529(of)X

12346

1611(Complexity,)X

12347

3 f

12348

2016(4)X

12349

1 f

12350

2076($1988$,)X

12351

2330(pp.)X

12352

2450(33)X

12353

9 f

12354

(-)S

12355

1 f

12356

2574(72.)X

12357

864 1530([GP90])N

12358

1064 1650(Galil)N

12359

1247(Z.,)X

12360

1359(and)X

12361

1498(K.)X

12362

1599(Park,)X

12363

1789(``An)X

12364

1964(improved)X

12365

2294(algorithm)X

12366

2628(for)X

12367

2745(approximate)X

12368

3169(string)X

12369

3374(matching,'')X

12370

2 f

12371

3769(SIAM)X

12372

3976(J.)X

12373

1064 1770(on)N

12374

1164(Computing,)X

12375

3 f

12376

1559(19)X

12377

1 f

12378

1659(\(December)X

12379

2037(1990\),)X

12380

2264(pp.)X

12381

2384(989)X

12382

9 f

12383

(-)S

12384

1 f

12385

2548(999.)X

12386

864 1923([GB91])N

12387

1064 2043(Gonnet,)N

12388

1360(G.)X

12389

1478(H.)X

12390

1596(and)X

12391

1752(R.)X

12392

1865(A.)X

12393

1983(Baeza-Yates,)X

12394

2 f

12395

2450(Handbook)X

12396

2824(of)X

12397

2926(Algorithms)X

12398

3321(and)X

12399

3482(Data)X

12400

3683(Structures,)X

12401

1 f

12402

1064 2163(Second)N

12403

1320(Edition,)X

12404

1595(Addison-Wesley,)X

12405

2174(Reading,)X

12406

2481(MA,)X

12407

2650(1991.)X

12408

864 2316([HD80])N

12409

1064 2436(Hall,)N

12410

1250(P.)X

12411

1343(A.)X

12412

1450(V.,)X

12413

1577(and)X

12414

1722(G.)X

12415

1829(R.)X

12416

1931(Dowling,)X

12417

2260(``Approximate)X

12418

2766(string)X

12419

2977(matching,'')X

12420

2 f

12421

3378(Computing)X

12422

3762(Surveys,)X

12423

1 f

12424

1064 2556(\(December)N

12425

1442(1980\),)X

12426

1669(pp.)X

12427

1789(381)X

12428

9 f

12429

(-)S

12430

1 f

12431

1953(402.)X

12432

864 2709([HU79])N

12433

1064 2829(Hopcroft,)N

12434

1396(J.E.,)X

12435

1558(and)X

12436

1696(J.D.)X

12437

1847(Ullman,)X

12438

2 f

12439

2129(Introduction)X

12440

2551(to)X

12441

2635(Automata)X

12442

2968(Theory,)X

12443

3237(Languages,)X

12444

3631(and)X

12445

3774(Compu-)X

12446

1064 2949(tation)N

12447

1 f

12448

1250(,)X

12449

1290(Addison-Wesley,)X

12450

1869(Reading,)X

12451

2176(Mass)X

12452

2365($1979$.)X

12453

864 3102([KMP77])N

12454

1064 3222(Knuth)N

12455

1287(D.)X

12456

1388(E.,)X

12457

1501(J.)X

12458

1576(H.)X

12459

1678(Morris,)X

12460

1940(and)X

12461

2080(V.)X

12462

2182(R.)X

12463

2279(Pratt,)X

12464

2474(``Fast)X

12465

2685(pattern)X

12466

2932(matching)X

12467

3254(in)X

12468

3340(strings,'')X

12469

2 f

12470

3651(SIAM)X

12471

3858(Jour-)X

12472

1064 3342(nal)N

12473

1186(on)X

12474

1286(Computing,)X

12475

3 f

12476

1681(6)X

12477

1 f

12478

1741(\(June)X

12479

1935(1977\),)X

12480

2162(pp.)X

12481

2282(323)X

12482

9 f

12483

(-)S

12484

1 f

12485

2446(350.)X

12486

864 3495([LV88])N

12487

1064 3615(Landau)N

12488

1326(G.)X

12489

1425(M.,)X

12490

1557(and)X

12491

1694(U.)X

12492

1793(Vishkin,)X

12493

2087(``Fast)X

12494

2295(string)X

12495

2499(matching)X

12496

2819(with)X

12497

2983(k)X

12498

3045 0.2692(differences,'')AX

12499

2 f

12500

3499(Journal)X

12501

3770(of)X

12502

3854(Com-)X

12503

1064 3735(puter)N

12504

1253(and)X

12505

1393(System)X

12506

1636(Sciences,)X

12507

3 f

12508

1953(37)X

12509

1 f

12510

2053($1988$,)X

12511

2307(pp.)X

12512

2427(63)X

12513

9 f

12514

(-)S

12515

1 f

12516

2551(78.)X

12517

864 3888([LV89])N

12518

1064 4008(Landau)N

12519

1338(G.)X

12520

1449(M.,)X

12521

1593(and)X

12522

1742(U.)X

12523

1853(Vishkin,)X

12524

2159(``Fast)X

12525

2379(parallel)X

12526

2653(and)X

12527

2802(serial)X

12528

3009(approximate)X

12529

3444(string)X

12530

3660(matching,'')X

12531

2 f

12532

1064 4128(Journal)N

12533

1333(of)X

12534

1415(Algorithms,)X

12535

3 f

12536

1810(10)X

12537

1 f

12538

1910($1989$.)X

12539

864 4281([Le66])N

12540

1064 4401(Levenshtein,)N

12541

1509(V.)X

12542

1620(I.,)X

12543

1720(``Binary)X

12544

2025(codes)X

12545

2241(capable)X

12546

2520(of)X

12547

2621(correcting)X

12548

2981(deletions,)X

12549

3324(insertions,)X

12550

3689(and)X

12551

3839(rever-)X

12552

1064 4521(sals,'')N

12553

2 f

12554

1278(Sov.)X

12555

1434(Phys.)X

12556

1630(Dokl.,)X

12557

1 f

12558

1846(\(February)X

12559

2183(1966\),)X

12560

2410(pp.)X

12561

2530(707)X

12562

9 f

12563

(-)S

12564

1 f

12565

2694(710.)X

12566

864 4674([My86])N

12567

1064 4794(Myers,)N

12568

1309(E.)X

12569

1398(W.,)X

12570

1534(``An)X

12571

1706(O$ND$)X

12572

1954(difference)X

12573

2301(algorithm)X

12574

2632(and)X

12575

2768(its)X

12576

2863(variations,'')X

12577

2 f

12578

3274(Algorithmica,)X

12579

3 f

12580

3737(1)X

12581

1 f

12582

3798($1986$,)X

12583

1064 4914(pp.)N

12584

1184(251)X

12585

9 f

12586

(-)S

12587

1 f

12588

1348(266.)X

12589

864 5067([MM89])N

12590

1064 5187(Myers,)N

12591

1321(E.)X

12592

1422(W.,)X

12593

1570(and)X

12594

1719(W.)X

12595

1848(Miller,)X

12596

2101(``Approximate)X

12597

2611(matching)X

12598

2942(of)X

12599

3042(regular)X

12600

3303(expressions,'')X

12601

2 f

12602

3784(Bull.)X

12603

3970(of)X

12604

1064 5307(Mathematical)N

12605

1529(Biology)X

12606

1 f

12607

1778(,)X

12608

3 f

12609

1818(51)X

12610

1 f

12611

1918($1989$,)X

12612

2172(pp.)X

12613

2292(5)X

12614

9 f

12615

(-)S

12616

1 f

12617

2376(37.)X

12618

864 5460([TU90])N

12619

1064 5580(Tarhio)N

12620

1322(J.,)X

12621

1437(and)X

12622

1597(E.)X

12623

1710(Ukkonen,)X

12624

2068(``Approximate)X

12625

2589(Boyer-Moore)X

12626

3071(string)X

12627

3298(matching,'')X

12628

3715(Technical)X

12629

1064 5700(Report)N

12630

1302(#A-1990-3,)X

12631

1694(Dept.)X

12632

1890(of)X

12633

1977(Computer)X

12634

2317(Science,)X

12635

2607(University)X

12636

2965(of)X

12637

3052(Helsinki)X

12638

3343(\(March)X

12639

3600(1990\))X

12640

12641

17 p

12642

%%Page: 17 18

12643

10 s 10 xH 0 xS 1 f

12644

3 f

12645

2408 696(17)N

12646

1 f

12647

864 984([Uk85a])N

12648

1064 1104(Ukkonen)N

12649

1387(E.,)X

12650

1505(``Finding)X

12651

1836(approximate)X

12652

2266(patterns)X

12653

2549(in)X

12654

2640(strings,'')X

12655

2 f

12656

2956(Journal)X

12657

3234(of)X

12658

3325(Algorithms,)X

12659

3 f

12660

3729(6)X

12661

1 f

12662

3798($1985$,)X

12663

1064 1224(pp.)N

12664

1184(132)X

12665

9 f

12666

(-)S

12667

1 f

12668

1348(137.)X

12669

864 1377([Uk85b])N

12670

1064 1497(Ukkonen)N

12671

1382(E.,)X

12672

1495(``Algorithms)X

12673

1938(for)X

12674

2057(approximate)X

12675

2483(string)X

12676

2690(matching,'')X

12677

2 f

12678

3087(Information)X

12679

3494(and)X

12680

3639(Control,)X

12681

3 f

12682

3932(64)X

12683

1 f

12684

(,)S

12685

1064 1617($1985$,)N

12686

1318(pp.)X

12687

1438(100)X

12688

9 f

12689

(-)S

12690

1 f

12691

1602(118.)X

12692

12693

18 p

12694

%%Trailer

12695

12696

12697

Older »