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max-height: none; min-width: 0; min-height: 0; width: 100%}
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+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><p>Starting with a 1-indexed array of zeros and a list of operations, for each operation add a value to each the array element between two given indices, inclusive. Once all operations have been performed, return the maximum value in the array. </p>
+
+<p><strong>Example</strong> <br>
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326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(3510,0)"><path stroke-width="1" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g transform="translate(4566,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(4845,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(5123,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 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-158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g transform="translate(9463,0)"><path stroke-width="1" d="M70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21Z"></path></g><g transform="translate(9963,0)"><path stroke-width="1" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 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transform="translate(11633,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(11911,0)"><path stroke-width="1" d="M42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397Z"></path></g><g transform="translate(12412,0)"><path stroke-width="1" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g transform="translate(12857,0)"><path stroke-width="1" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path></g><g transform="translate(13357,0)"><path stroke-width="1" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g transform="translate(13802,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g transform="translate(14303,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> </p>
+
+<p>Queries are interpreted as follows: </p>
+
+<div class="highlight"><pre><span></span> <span class="n">a</span> <span class="n">b</span> <span class="n">k</span>
+ <span class="mi">1</span> <span class="mi">5</span> <span class="mi">3</span>
+ <span class="mi">4</span> <span class="mi">8</span> <span class="mi">7</span>
+ <span class="mi">6</span> <span class="mi">9</span> <span class="mi">1</span>
+</pre></div>
+
+
+<p>Add the values of <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-3-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.211ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 521.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></svg></span> between the indices <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-4-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.23ex" height="1.676ex" style="vertical-align: -0.338ex;" viewBox="0 -576.1 529.5 721.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></svg></span> and <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-5-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="0.998ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 429.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></svg></span> inclusive:</p>
+
+<div class="highlight"><pre><span></span><span class="n">index</span><span class="o">-></span> <span class="mi">1</span> <span class="mi">2</span> <span class="mi">3</span> <span class="mi">4</span> <span class="mi">5</span> <span class="mi">6</span> <span class="mi">7</span> <span class="mi">8</span> <span class="mi">9</span> <span class="mi">10</span>
+ <span class="p">[</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span>
+ <span class="p">[</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span>
+ <span class="p">[</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">10</span><span class="p">,</span><span class="mi">10</span><span class="p">,</span><span class="mi">7</span><span class="p">,</span><span class="mi">7</span><span class="p">,</span><span class="mi">7</span><span class="p">,</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span>
+ <span class="p">[</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">10</span><span class="p">,</span><span class="mi">10</span><span class="p">,</span><span class="mi">8</span><span class="p">,</span><span class="mi">8</span><span class="p">,</span><span class="mi">8</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">]</span>
+</pre></div>
+
+
+<p>The largest value is <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-6-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="2.325ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 1001 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g></svg></span> after all operations are performed. </p>
+
+<p><strong>Function Description</strong> </p>
+
+<p>Complete the function <em>arrayManipulation</em> in the editor below. </p>
+
+<p>arrayManipulation has the following parameters:</p>
+
+<ul>
+<li><em>int n</em> - the number of elements in the array </li>
+<li><em>int queries[q][3]</em> - a two dimensional array of queries where each <em>queries[i]</em> contains three integers, <em>a</em>, <em>b</em>, and <em>k</em>. </li>
+</ul>
+
+<p><strong>Returns</strong> </p>
+
+<ul>
+<li><em>int</em> - the maximum value in the resultant array </li>
+</ul></div></div></div><div class='challenge_input_format'><div class='msB challenge_input_format_title'><p><strong>Input Format</strong></p></div><div class='msB challenge_input_format_body'><div class='hackdown-content'><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
+.MathJax_SVG .MJX-monospace {font-family: monospace}
+.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
+.MathJax_SVG {display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 100%; font-size-adjust: none; text-indent: 0; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; padding: 0; margin: 0}
+.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
+.mjx-svg-href {fill: blue; stroke: blue}
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+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><p>The first line contains two space-separated integers <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-1-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.395ex" height="1.676ex" style="vertical-align: -0.338ex;" viewBox="0 -576.1 600.5 721.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></svg></span> and <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-2-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="2.04ex" height="1.676ex" style="vertical-align: -0.338ex;" viewBox="0 -576.1 878.5 721.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></svg></span>, the size of the array and the number of operations. <br>
+Each of the next <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-3-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="2.04ex" height="1.676ex" style="vertical-align: -0.338ex;" viewBox="0 -576.1 878.5 721.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></svg></span> lines contains three space-separated integers <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-4-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.23ex" height="1.676ex" style="vertical-align: -0.338ex;" viewBox="0 -576.1 529.5 721.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g></svg></span>, <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-5-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="0.998ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 429.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g></svg></span> and <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-6-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.211ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 521.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g></svg></span>, the left index, right index and summand. </p></div></div></div><div class='challenge_constraints'><div class='msB challenge_constraints_title'><p><strong>Constraints</strong></p></div><div class='msB challenge_constraints_body'><div class='hackdown-content'><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
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+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><ul>
+<li><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-1-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="12.133ex" height="2.843ex" style="vertical-align: -0.505ex;" viewBox="0 -1006.6 5224 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><g transform="translate(778,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(1834,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(2712,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(3769,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><g transform="translate(1001,393)"><path stroke-width="1" transform="scale(0.707)" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></g></g></svg></span> </li>
+<li><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-2-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="16.136ex" height="2.843ex" style="vertical-align: -0.505ex;" viewBox="0 -1006.6 6947.5 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><g transform="translate(778,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(1834,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(2990,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(4047,0)"><path stroke-width="1" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g transform="translate(4769,0)"><path stroke-width="1" d="M229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286Z"></path></g><g transform="translate(5492,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><g transform="translate(1001,393)"><path stroke-width="1" transform="scale(0.707)" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></span> </li>
+<li><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-3-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="14.08ex" height="2.343ex" style="vertical-align: -0.505ex;" viewBox="0 -791.3 6062.2 1008.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><g transform="translate(778,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(1834,0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g transform="translate(2641,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(3698,0)"><path stroke-width="1" d="M73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325Z"></path></g><g transform="translate(4405,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(5461,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></g></svg></span> </li>
+<li><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-4-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="11.95ex" height="2.843ex" style="vertical-align: -0.505ex;" viewBox="0 -1006.6 5145 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><g transform="translate(778,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(1834,0)"><path stroke-width="1" d="M121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647Z"></path></g><g transform="translate(2633,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(3690,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><g transform="translate(1001,393)"><path stroke-width="1" transform="scale(0.707)" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path></g></g></g></svg></span> </li>
+</ul></div></div></div><div class='challenge_sample_input'><div class='msB challenge_sample_input_title'><p><strong>Sample Input</strong></p></div><div class='msB challenge_sample_input_body'><div class='hackdown-content'><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
+.MathJax_SVG .MJX-monospace {font-family: monospace}
+.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
+.MathJax_SVG {display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 100%; font-size-adjust: none; text-indent: 0; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; padding: 0; margin: 0}
+.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
+.mjx-svg-href {fill: blue; stroke: blue}
+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><pre><code>5 3
+1 2 100
+2 5 100
+3 4 100
+</code></pre></div></div></div><div class='challenge_sample_output'><div class='msB challenge_sample_output_title'><p><strong>Sample Output</strong></p></div><div class='msB challenge_sample_output_body'><div class='hackdown-content'><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
+.MathJax_SVG .MJX-monospace {font-family: monospace}
+.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
+.MathJax_SVG {display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 100%; font-size-adjust: none; text-indent: 0; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; padding: 0; margin: 0}
+.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
+.mjx-svg-href {fill: blue; stroke: blue}
+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><pre><code>200
+</code></pre></div></div></div><div class='challenge_explanation'><div class='msB challenge_explanation_title'><p><strong>Explanation</strong></p></div><div class='msB challenge_explanation_body'><div class='hackdown-content'><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
+.MathJax_SVG .MJX-monospace {font-family: monospace}
+.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
+.MathJax_SVG {display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 100%; font-size-adjust: none; text-indent: 0; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; padding: 0; margin: 0}
+.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
+.mjx-svg-href {fill: blue; stroke: blue}
+.MathJax_SVG_LineBox {display: table!important}
+.MathJax_SVG_LineBox span {display: table-cell!important; width: 10000em!important; min-width: 0; max-width: none; padding: 0; border: 0; margin: 0}
+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><p>After the first update the list is <code>100 100 0 0 0</code>. <br>
+After the second update list is <code>100 200 100 100 100</code>. <br>
+After the third update list is <code>100 200 200 200 100</code>. </p>
+
+<p>The maximum value is <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-1-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="3.487ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 1501.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(1001,0)"></path></g></svg></span>. </p></div></div></div></div></div></div></div></div></div></div><div class="fs-right-pane"><div class="challenge-page-wrap theme-m-content"><section class="code-editor-section split"><div><div><div></div><div class="hr-monaco-editor-wrapper"><div class="loading-editor text-center"></div></div></div></div><div class="challenge-response fs-container"></div></section></div></div></div></div></div></div></div></section></div></div><footer class="community-footer"><ul class="footer-links"><li class="link-item"><a target="_blank" class="footer-link calendar" data-analytics="FooterLinkCalendar" href="/calendar">Contest Calendar</a></li><li class="link-item"><a target="_blank" class="footer-link blog" data-analytics="FooterLinkBlog" href="//blog.hackerrank.com">Blog</a></li><li class="link-item"><a target="_blank" class="footer-link scoring" data-analytics="FooterLinkScoring" href="/scoring">Scoring</a></li><li class="link-item"><a target="_blank" class="footer-link environment" data-analytics="FooterLinkEnvironment" href="/environment">Environment</a></li><li class="link-item"><a target="_blank" class="footer-link faq" data-analytics="FooterLinkFAQ" href="/faq">FAQ</a></li><li class="link-item"><a target="_blank" class="footer-link" data-analytics="FooterLinkAboutUs" href="//www.hackerrank.com/aboutus">About Us</a></li><li class="link-item"><a target="_blank" class="footer-link" data-analytics="FooterLinkSupport" href="//help.hackerrank.com/hc/en-us">Support</a></li><li class="link-item"><a target="_blank" class="footer-link" data-analytics="FooterLinkCareers" href="//www.hackerrank.com/careers">Careers</a></li><li class="link-item"><a target="_blank" class="footer-link" data-analytics="FooterLinkTermsOfService" href="/terms-of-service">Terms Of Service</a></li><li class="link-item"><a target="_blank" class="footer-link" data-analytics="FooterLinkPrivacyPolicy" href="/privacy">Privacy Policy</a></li><li class="link-item"><a target="_blank" class="footer-link featureRequestButton" data-analytics="FooterLinkFeatureRequest" href="/support/feature">Request a Feature</a></li></ul></footer></div></div></div></div></div><!--Required to handle event bubbling of click in ios safari -->
+
+ <script>
+ //HR namespace
+ HR = window.HR || {};
+ HR.development = false;
+ HR.assetPath = 'https://hrcdn.net/community-frontend/assets/';
+ HR.pageLoadTime = Date.now();
+ HR.serverAPITime = 344
+ HR.serverRenderTime = 9
+ HR.production = true;
+ HR.devServer = false;
+ HR.isIsomorphic = true;
+ HR.loadedWithOldCss = false;
+ HR.pusher = {"key":"a280047e3b323ccb1b65","cluster":"mt1"};
+</script>
+
+<!-- Vendor scripts -->
+
+<script src="https://hrcdn.net/community-frontend/assets/hackerrank_r_vendor-2bc7c1b2f5.js"></script>
+
+
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0inputLines:%20string%5B%5D%20=%20%5B%5D;%5Cnlet%20currentLine:%20number%20=%200;%5Cn%5Cnprocess.stdin.on('data',%20function(inputStdin:%20string):%20void%20%7B%5Cn%20%20%20%20inputString%20+=%20inputStdin;%5Cn%7D);%5Cn%5Cnprocess.stdin.on('end',%20function():%20void%20%7B%5Cn%20%20%20%20inputLines%20=%20inputString.split('%5C%5Cn');%5Cn%20%20%20%20inputString%20=%20'';%5Cn%5Cn%20%20%20%20main();%5Cn%7D);%5Cn%5Cnfunction%20readLine():%20string%20%7B%5Cn%20%20%20%20return%20inputLines%5BcurrentLine++%5D;%5Cn%7D%5Cn%5Cn%22,%22typescript_template_tail%22:%22function%20main()%20%7B%5Cn%20%20%20%20const%20ws:%20WriteStream%20=%20createWriteStream(process.env%5B'OUTPUT_PATH'%5D);%5Cn%5Cn%20%20%20%20const%20firstMultipleInput:%20string%5B%5D%20=%20readLine().replace(/%5C%5Cs+$/g,%20'').split('%20');%5Cn%5Cn%20%20%20%20const%20n:%20number%20=%20parseInt(firstMultipleInput%5B0%5D,%2010);%5Cn%5Cn%20%20%20%20const%20m:%20number%20=%20parseInt(firstMultipleInput%5B1%5D,%2010);%5Cn%5Cn%20%20%20%20let%20queries:%20number%5B%5D%5B%5D%20=%20Array(m);%5Cn%5Cn%20%20%20%20for%20(let%20i:%20number%20=%200;%20i%20%3C%20m;%20i++)%20%7B%5Cn%20%20%20%20%20%20%20%20queries%5Bi%5D%20=%20readLine().replace(/%5C%5Cs+$/g,%20'').split('%20').map(queriesTemp%20=%3E%20parseInt(queriesTemp,%2010));%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20const%20result:%20number%20=%20arrayManipulation(n,%20queries);%5Cn%5Cn%20%20%20%20ws.write(result%20+%20'%5C%5Cn');%5Cn%5Cn%20%20%20%20ws.end();%5Cn%7D%5Cn%22,%22go_template%22:%22/*%5Cn%20*%20Complete%20the%20'arrayManipulation'%20function%20below.%5Cn%20*%5Cn%20*%20The%20function%20is%20expected%20to%20return%20a%20LONG_INTEGER.%5Cn%20*%20The%20function%20accepts%20following%20parameters:%5Cn%20*%20%201.%20INTEGER%20n%5Cn%20*%20%202.%202D_INTEGER_ARRAY%20queries%5Cn%20*/%5Cn%5Cnfunc%20arrayManipulation(n%20int32,%20queries%20%5B%5D%5B%5Dint32)%20int64%20%7B%5Cn%20%20%20%20//%20Write%20your%20code%20here%5Cn%5Cn%7D%5Cn%5Cn%22,%22go_template_head%22:%22package%20main%5Cn%5Cnimport%20(%5Cn%20%20%20%20%5C%22bufio%5C%22%5Cn%20%20%20%20%5C%22fmt%5C%22%5Cn%20%20%20%20%5C%22io%5C%22%5Cn%20%20%20%20%5C%22os%5C%22%5Cn%20%20%20%20%5C%22strconv%5C%22%5Cn%20%20%20%20%5C%22strings%5C%22%5Cn)%5Cn%5Cn%22,%22go_template_tail%22:%22func%20main()%20%7B%5Cn%20%20%20%20reader%20:=%20bufio.NewReaderSize(os.Stdin,%2016%20*%201024%20*%201024)%5Cn%5Cn%20%20%20%20stdout,%20err%20:=%20os.Create(os.Getenv(%5C%22OUTPUT_PATH%5C%22))%5Cn%20%20%20%20checkError(err)%5Cn%5Cn%20%20%20%20defer%20stdout.Close()%5Cn%5Cn%20%20%20%20writer%20:=%20bufio.NewWriterSize(stdout,%2016%20*%201024%20*%201024)%5Cn%5Cn%20%20%20%20firstMultipleInput%20:=%20strings.Split(strings.TrimSpace(readLine(reader)),%20%5C%22%20%5C%22)%5Cn%5Cn%20%20%20%20nTemp,%20err%20:=%20strconv.ParseInt(firstMultipleInput%5B0%5D,%2010,%2064)%5Cn%20%20%20%20checkError(err)%5Cn%20%20%20%20n%20:=%20int32(nTemp)%5Cn%5Cn%20%20%20%20mTemp,%20err%20:=%20strconv.ParseInt(firstMultipleInput%5B1%5D,%2010,%2064)%5Cn%20%20%20%20checkError(err)%5Cn%20%20%20%20m%20:=%20int32(mTemp)%5Cn%5Cn%20%20%20%20var%20queries%20%5B%5D%5B%5Dint32%5Cn%20%20%20%20for%20i%20:=%200;%20i%20%3C%20int(m);%20i++%20%7B%5Cn%20%20%20%20%20%20%20%20queriesRowTemp%20:=%20strings.Split(strings.TrimRight(readLine(reader),%5C%22%20%5C%5Ct%5C%5Cr%5C%5Cn%5C%22),%20%5C%22%20%5C%22)%5Cn%5Cn%20%20%20%20%20%20%20%20var%20queriesRow%20%5B%5Dint32%5Cn%20%20%20%20%20%20%20%20for%20_,%20queriesRowItem%20:=%20range%20queriesRowTemp%20%7B%5Cn%20%20%20%20%20%20%20%20%20%20%20%20queriesItemTemp,%20err%20:=%20strconv.ParseInt(queriesRowItem,%2010,%2064)%5Cn%20%20%20%20%20%20%20%20%20%20%20%20checkError(err)%5Cn%20%20%20%20%20%20%20%20%20%20%20%20queriesItem%20:=%20int32(queriesItemTemp)%5Cn%20%20%20%20%20%20%20%20%20%20%20%20queriesRow%20=%20append(queriesRow,%20queriesItem)%5Cn%20%20%20%20%20%20%20%20%7D%5Cn%5Cn%20%20%20%20%20%20%20%20if%20len(queriesRow)%20!=%203%20%7B%5Cn%20%20%20%20%20%20%20%20%20%20%20%20panic(%5C%22Bad%20input%5C%22)%5Cn%20%20%20%20%20%20%20%20%7D%5Cn%5Cn%20%20%20%20%20%20%20%20queries%20=%20append(queries,%20queriesRow)%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20result%20:=%20arrayManipulation(n,%20queries)%5Cn%5Cn%20%20%20%20fmt.Fprintf(writer,%20%5C%22%25d%5C%5Cn%5C%22,%20result)%5Cn%5Cn%20%20%20%20writer.Flush()%5Cn%7D%5Cn%5Cnfunc%20readLine(reader%20*bufio.Reader)%20string%20%7B%5Cn%20%20%20%20str,%20_,%20err%20:=%20reader.ReadLine()%5Cn%20%20%20%20if%20err%20==%20io.EOF%20%7B%5Cn%20%20%20%20%20%20%20%20return%20%5C%22%5C%22%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20return%20strings.TrimRight(string(str),%20%5C%22%5C%5Cr%5C%5Cn%5C%22)%5Cn%7D%5Cn%5Cnfunc%20checkError(err%20error)%20%7B%5Cn%20%20%20%20if%20err%20!=%20nil%20%7B%5Cn%20%20%20%20%20%20%20%20panic(err)%5Cn%20%20%20%20%7D%5Cn%7D%5Cn%22,%22python3_template%22:%22#%5Cn#%20Complete%20the%20'arrayManipulation'%20function%20below.%5Cn#%5Cn#%20The%20function%20is%20expected%20to%20return%20a%20LONG_INTEGER.%5Cn#%20The%20function%20accepts%20following%20parameters:%5Cn#%20%201.%20INTEGER%20n%5Cn#%20%202.%202D_INTEGER_ARRAY%20queries%5Cn#%5Cn%5Cndef%20arrayManipulation(n,%20queries):%5Cn%20%20%20%20#%20Write%20your%20code%20here%5Cn%5Cn%22,%22python3_template_head%22:%22#!/bin/python3%5Cn%5Cnimport%20math%5Cnimport%20os%5Cnimport%20random%5Cnimport%20re%5Cnimport%20sys%5Cn%5Cn%22,%22python3_template_tail%22:%22if%20__name__%20==%20'__main__':%5Cn%20%20%20%20fptr%20=%20open(os.environ%5B'OUTPUT_PATH'%5D,%20'w')%5Cn%5Cn%20%20%20%20first_multiple_input%20=%20input().rstrip().split()%5Cn%5Cn%20%20%20%20n%20=%20int(first_multiple_input%5B0%5D)%5Cn%5Cn%20%20%20%20m%20=%20int(first_multiple_input%5B1%5D)%5Cn%5Cn%20%20%20%20queries%20=%20%5B%5D%5Cn%5Cn%20%20%20%20for%20_%20in%20range(m):%5Cn%20%20%20%20%20%20%20%20queries.append(list(map(int,%20input().rstrip().split())))%5Cn%5Cn%20%20%20%20result%20=%20arrayManipulation(n,%20queries)%5Cn%5Cn%20%20%20%20fptr.write(str(result)%20+%20'%5C%5Cn')%5Cn%5Cn%20%20%20%20fptr.close()%5Cn%22,%22objectivec_template%22:%22@interface%20Solution:NSObject%5Cn-%20(NSNumber%20*)%20arrayManipulation:(NSNumber%20*)n%20queries:(NSArray%20*)queries;%5Cn@end%5Cn%5Cn@implementation%20Solution%5Cn/*%5Cn%20*%20Complete%20the%20'arrayManipulation'%20function%20below.%5Cn%20*%5Cn%20*%20The%20function%20is%20expected%20to%20return%20a%20LONG_INTEGER.%5Cn%20*%20The%20function%20accepts%20following%20parameters:%5Cn%20*%20%201.%20INTEGER%20n%5Cn%20*%20%202.%202D_INTEGER_ARRAY%20queries%5Cn%20*/%5Cn%5Cn-%20(NSNumber%20*)%20arrayManipulation:(NSNumber%20*)n%20queries:(NSArray%20*)queries%20%7B%5Cn%20%20%20%20//%20Write%20your%20code%20here%5Cn%5Cn%7D%5Cn%5Cn@end%5Cn%5Cn%22,%22objectivec_template_head%22:%22#import%20%3CFoundation/Foundation.h%3E%5Cn#import%20%3Cobjc/Object.h%3E%5Cn#import%20%3Cobjc/objc.h%3E%5Cn%5Cn@interface%20NSString%20(StringByTrimmingTrailingCharactersInSet)%5Cn-%20(NSString%20*)%20stringByTrimmingTrailingCharactersInSet:(NSCharacterSet%20*)characterSet;%5Cn@end%5Cn%5Cn@implementation%20NSString%20(StringByTrimmingTrailingCharactersInSet)%5Cn-%20(NSString%20*)%20stringByTrimmingTrailingCharactersInSet:(NSCharacterSet%20*)characterSet%20%7B%5Cn%20%20%20%20NSRange%20end%20=%20%5Bself%20rangeOfCharacterFromSet:%5BcharacterSet%20invertedSet%5D%20options:NSBackwardsSearch%5D;%5Cn%5Cn%20%20%20%20if%20(end.location%20==%20NSNotFound)%20%7B%5Cn%20%20%20%20%20%20%20%20return%20@%5C%22%5C%22;%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20return%20%5Bself%20substringToIndex:end.location%20+%201%5D;%5Cn%7D%5Cn@end%5Cn%5Cn@interface%20NSString%20(NumberFromString)%5Cn-%20(NSNumber%20*)%20numberFromString:(NSNumberFormatter%20*)formatter;%5Cn@end%5Cn%5Cn@implementation%20NSString%20(NumberFromString)%5Cn-%20(NSNumber%20*)%20numberFromString:(NSNumberFormatter%20*)formatter%20%7B%5Cn%20%20%20%20NSNumber%20*number%20=%20%5Bformatter%20numberFromString:%5Bself%20stringByTrimmingCharactersInSet:%5BNSCharacterSet%20whitespaceAndNewlineCharacterSet%5D%5D%5D;%5Cn%5Cn%20%20%20%20if%20(number%20==%20nil)%20%7B%5Cn%20%20%20%20%20%20%20%20%5BNSException%20raise:@%5C%22Bad%20Input%5C%22%20format:@%5C%22%25@%5C%22,%20self%5D;%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20return%20number;%5Cn%7D%5Cn@end%5Cn%5Cn@interface%20NSString%20(ArrayFromString)%5Cn-%20(NSArray%20*)%20arrayFromString;%5Cn@end%5Cn%5Cn@implementation%20NSString%20(ArrayFromString)%5Cn-%20(NSArray%20*)%20arrayFromString%20%7B%5Cn%20%20%20%20return%20%5B%5Bself%20stringByTrimmingTrailingCharactersInSet:%5BNSCharacterSet%20whitespaceAndNewlineCharacterSet%5D%5D%20componentsSeparatedByString:@%5C%22%20%5C%22%5D;%5Cn%7D%5Cn@end%5Cn%5Cn%22,%22objectivec_template_tail%22:%22int%20main(int%20argc,%20const%20char*%20argv%5B%5D)%20%7B%5Cn%20%20%20%20@autoreleasepool%20%7B%5Cn%20%20%20%20%20%20%20%20NSString%20*stdout%20=%20%5B%5B%5BNSProcessInfo%20processInfo%5D%20environment%5D%20objectForKey:@%5C%22OUTPUT_PATH%5C%22%5D;%5Cn%20%20%20%20%20%20%20%20%5B%5BNSFileManager%20defaultManager%5D%20createFileAtPath:stdout%20contents:nil%20attributes:nil%5D;%5Cn%20%20%20%20%20%20%20%20NSFileHandle%20*fileHandle%20=%20%5BNSFileHandle%20fileHandleForWritingAtPath:stdout%5D;%5Cn%5Cn%20%20%20%20%20%20%20%20NSNumberFormatter%20*numberFormatter%20=%20%5B%5BNSNumberFormatter%20alloc%5D%20init%5D;%5Cn%5Cn%20%20%20%20%20%20%20%20NSData%20*availableInputData%20=%20%5B%5BNSFileHandle%20fileHandleWithStandardInput%5D%20availableData%5D;%5Cn%20%20%20%20%20%20%20%20NSString%20*availableInputString%20=%20%5B%5BNSString%20alloc%5D%20initWithData:availableInputData%20encoding:NSUTF8StringEncoding%5D;%5Cn%20%20%20%20%20%20%20%20NSArray%20*availableInputArray%20=%20%5BavailableInputString%20componentsSeparatedByString:@%5C%22%5C%5Cn%5C%22%5D;%5Cn%5Cn%20%20%20%20%20%20%20%20NSUInteger%20currentInputLine%20=%200;%5Cn%5Cn%20%20%20%20%20%20%20%20NSArray%20*firstMultipleInput%20=%20%5B%5B%5BavailableInputArray%20objectAtIndex:currentInputLine%5D%20stringByTrimmingTrailingCharactersInSet:%5BNSCharacterSet%20whitespaceAndNewlineCharacterSet%5D%5D%20compo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+</script>
+<script src="https://hrcdn.net/community-frontend/assets/runtime-88ca9b4b.js"></script>
+
+ <script src="https://hrcdn.net/community-frontend/assets/chunks_runtime-1aa437e0e5.js"></script>
+
+<script src="https://hrcdn.net/community-frontend/assets/hackerrank_r_client-a1e4fcb6.js"></script>
+
+
+ <script>
+ // HR namespace
+ HR = window.HR || {};
+ HR.firebaseConfig = {"apiKey":"AIzaSyByUOhaiUFzuu3Cil0y1jIWfS8NfFFjpMc","authDomain":"codepair-dev.firebaseapp.com","databaseURL":"codepair-dev.firebaseio.com","fbProxyEndpoint":"codepair-proxy.hackerrank.link","akamaiProxyEndpoint":"sync-staging.hackerrank.com","databaseName":"codepair-dev"};
+ HR.productNamespace = 'hackerrank';
+ HR.stripe = {"key":"pk_PBXVCPHjyi31lIcbSe2mnlWEIYUzG"};
+ HR.servicesBaseUrl = "https://services.hackerrank.com";
+ HR.pendoAPIKey = "6a49047d-7d4c-46f5-7b81-8b6193d6bf7b";
+ </script>
+
+ <!-- Add app.js before adding track scripts -->
+ <script src="https://hrcdn.net/community-frontend/assets/vendors~hackerrank_r_app-28305acf.js"></script>
+ <script src="https://hrcdn.net/community-frontend/assets/modules~hackerrank_r_app-f34bbdfa.js"></script>
+ <script src="https://hrcdn.net/community-frontend/assets/hackerrank_r_app-af51e52d.js"></script>
+
+ <script type="application/json" id="initialUserData">
+ %7B%22contestHistory%22:%7B%22list%22:%5B%5D,%22total%22:0%7D,%22badges%22:%5B%5D,%22additional%22:%7B%7D,%22badges_version%22:1,%22scores%22:%7B%7D,%22rating%22:%5B%5D,%22submissionHistory%22:%7B%7D,%22recentChallenges%22:%7B%22list%22:%5B%5D,%22cursor%22:null,%22lastPage%22:true%7D,%22recentDiscussions%22:%5B%5D,%22threadId%22:null%7D
+ </script>
+ <script>
+ var getUser = (function() {
+ var userData;
+ if (HR.userEmitter) {
+ HR.userEmitter.on('initializeNewUser', function(user) {
+ userData = user;
+ });
+ }
+ try{
+ if (typeof userData === 'undefined') {
+ var initialDataElm = document.querySelector('#initialUserData');
+ userData = JSON.parse(decodeURI(initialDataElm.innerHTML));
+ initialDataElm.remove();
+ }
+ } catch(e){
+ userData = {};
+ console.log('No initial User data found');
+ }
+ return function() {
+ return userData;
+ }
+ })();
+ </script>
+
+<!-- setting up sentry -->
+
+ <script src='https://cdn.ravenjs.com/3.22.1/raven.min.js' async crossorigin='anonymous' id="raven"></script>
+ <script>
+ (function(window, queue, loaded, script, user) {
+
+ var setupRaven = function(user) {
+ var userContext = {};
+ var extraContext = {};
+ if (user && !!user.id) {
+ userContext.handle = user.id;
+ }
+ if (window.Cookies) {
+ if (HR.productNamespace === 'hackerrank') {
+ extraContext.mixpanel_token = Cookies.get('hackerrank_mixpanel_token')
+ } else if (HR.productNamespace === 'hackerrankx') {
+ extraContext.mixpanel_token = Cookies.get('hackerrankx_mixpanel_token')
+ }
+ }
+ if(typeof Raven !== 'undefined') {
+ Raven.setUserContext(userContext);
+ Raven.setExtraContext(extraContext);
+ }
+ }
+ HR.userEmitter.on('initializeNewUser', function(user) {
+ setupRaven(user);
+ });
+
+ window.onerror = function e(message, file, lineNo, columnNo, error) {
+ if (loaded) return;
+ queue.push([message, file, lineNo, columnNo, error]);
+ };
+
+ window.onunhandledrejection = function e(error) {
+ if (loaded) return;
+ queue.push([
+ error.reason,
+ ]);
+ };
+
+ script.onreadystatechange = script.onload = function() {
+ if (loaded) return;
+ loaded = true;
+
+ Raven.config('https://6b2d52b23d5a4dd4bc44330335327c04@sentry.io/234162', {
+ captureUnhandledRejections: true,
+ release: window.MANIFEST_VERSION,
+ ignoreUrls: [/cdn\.userty\.com/],
+ ignoreErrors: [
+ 'Error: Connection is disposed',
+ 'Connection got disposed',
+ 'A network error occurred',
+ 'Model is disposed!',
+ 'Unable to get property \'isVisible\' of undefined',
+ 'Cannot read property \'isVisible\' of undefined',
+ "Cannot destructure property 'language' of 'e' as it is null.",
+ 'Language Client services has not been installed',
+ ],
+ }).install();
+
+ setupRaven(user);
+
+ queue.forEach(function(error) {
+ Raven.captureException(error[4] || error[0], {
+ extra: {
+ file: error[1],
+ line: error[2],
+ col: error[3],
+ },
+ });
+ });
+ };
+ }(window, [], false, document.getElementById('raven'), getUser()));
+ </script>
+
+
+<!-- Mixpanel Stub -->
+<script type="text/javascript">
+ window.mixpanel = window.mixpanel || [];
+ var attrs = "disable track track_pageview track_links track_forms register register_once alias unregister identify name_tag set_config people.set people.set_once people.increment people.append people.track_charge people.clear_charges people.delete_user".split(" ");
+ for (var attribute in attrs) {
+ mixpanel[attrs[attribute]] = function () {};
+ }
+</script>
+
+<!-- google analytics tracking -->
+<script>
+ var _gaq = _gaq || [];
+
+</script>
+<!-- Pending candidate site custom GA code -->
+<!-- google analytics tracking end-->
+
+<!-- fullstory tracking start -->
+
+<!-- fullstory tracking end -->
+
+<!-- Pendo Tracking -->
+
+<!-- Pendo Tracking end -->
+
+<!-- GTM tracking -->
+
+<script type="text/javascript">
+ var gtmTracking = function (user){
+ if (window.dataLayer) {
+
+
+
+ window.dataLayer.push({
+ 'event': 'identify',
+ onboardingStatus: user.onboarding_status,
+ sourcingJobsConsent: user.sourcing_jobs_consent,
+ signupIntent: user.signup_intent,
+ isProfessional: user.is_professional,
+ });
+
+ }
+ }
+ gtmTracking(getUser());
+ HR.userEmitter.on('initializeNewUser', function(user) {
+ gtmTracking(user);
+ });
+
+</script>
+
+<!-- GTM tracking end -->
+
+
+<!-- Google Tag Manager (noscript) #1 -->
+<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-NZTBQVZ"
+height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
+<!-- End Google Tag Manager (noscript) #1 -->
+
+
+<!-- Marketo to be added later -->
+
+<!-- Bizible -->
+
+<!-- HR metrics init -->
+<script type="text/javascript">
+
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diff --git a/assets/Dynamic Array _ HackerRank.html b/assets/Dynamic Array _ HackerRank.html
new file mode 100644
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+<li>Declare a 2-dimensional array, <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-1-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="3.327ex" height="1.676ex" style="vertical-align: -0.338ex;" viewBox="0 -576.1 1432.5 721.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></svg></span>, of <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-2-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.395ex" height="1.676ex" style="vertical-align: -0.338ex;" viewBox="0 -576.1 600.5 721.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></svg></span> empty arrays. All arrays are zero indexed. </li>
+<li><p>Declare an integer, <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-3-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="11.878ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 5114 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59Z"></path><g transform="translate(298,0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g transform="translate(828,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(1297,0)"><path stroke-width="1" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g transform="translate(1659,0)"><path stroke-width="1" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g transform="translate(2409,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(3010,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(3479,0)"><path stroke-width="1" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g transform="translate(4196,0)"><path stroke-width="1" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g transform="translate(4662,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></svg></span>, and initialize it to <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-4-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.162ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 500.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></svg></span>. </p></li>
+<li><p>There are <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-5-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.162ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 500.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></svg></span> types of queries, given as an array of strings for you to parse: </p>
+
+<ol><li>Query: <code>1 x y</code>
+
+<ol><li>Let <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-6-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="31.766ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 13677 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path><g transform="translate(345,0)"><path stroke-width="1" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g transform="translate(869,0)"><path stroke-width="1" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g transform="translate(1719,0)"><path stroke-width="1" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g transform="translate(2775,0)"><path stroke-width="1" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g transform="translate(3415,0)"><path stroke-width="1" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g transform="translate(3804,0)"><path stroke-width="1" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g transform="translate(4599,0)"><path stroke-width="1" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222Z"></path></g><g transform="translate(5600,0)"><path stroke-width="1" d="M117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59Z"></path></g><g transform="translate(5898,0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g transform="translate(6428,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(6897,0)"><path stroke-width="1" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g transform="translate(7259,0)"><path stroke-width="1" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 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147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(9079,0)"><path stroke-width="1" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g transform="translate(9796,0)"><path stroke-width="1" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g transform="translate(10262,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(10714,0)"><path stroke-width="1" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g transform="translate(11353,0)"><path stroke-width="1" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g transform="translate(12437,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(13287,0)"><path stroke-width="1" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g></g></svg></span>.</li>
+<li>Append the integer <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-7-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.155ex" height="2.009ex" style="vertical-align: -0.671ex;" viewBox="0 -576.1 497.5 865.1" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></svg></span> to <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-8-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="7.969ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 3431 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g transform="translate(2056,0)"><path stroke-width="1" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g transform="translate(2580,0)"><path stroke-width="1" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g transform="translate(3152,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span>.</li></ol></li>
+<li>Query: <code>2 x y</code>
+
+<ol><li>Let <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-9-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="31.766ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 13677 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path><g transform="translate(345,0)"><path stroke-width="1" d="M366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g transform="translate(869,0)"><path stroke-width="1" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g transform="translate(1719,0)"><path stroke-width="1" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g transform="translate(2775,0)"><path stroke-width="1" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g transform="translate(3415,0)"><path stroke-width="1" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g transform="translate(3804,0)"><path stroke-width="1" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g transform="translate(4599,0)"><path stroke-width="1" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222Z"></path></g><g transform="translate(5600,0)"><path stroke-width="1" d="M117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59Z"></path></g><g transform="translate(5898,0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g transform="translate(6428,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(6897,0)"><path stroke-width="1" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g transform="translate(7259,0)"><path stroke-width="1" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g transform="translate(8009,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(8610,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(9079,0)"><path stroke-width="1" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 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205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g transform="translate(4196,0)"><path stroke-width="1" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g transform="translate(4662,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></svg></span>. </li>
+<li>Store the new value of <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-12-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="11.878ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 5114 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59Z"></path><g transform="translate(298,0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g transform="translate(828,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(1297,0)"><path stroke-width="1" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g transform="translate(1659,0)"><path stroke-width="1" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g transform="translate(2409,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(3010,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(3479,0)"><path stroke-width="1" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g transform="translate(4196,0)"><path stroke-width="1" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g transform="translate(4662,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></svg></span> to an answers array.</li></ol></li></ol></li>
+</ul>
+
+<p><strong>Note:</strong> <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-13-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.808ex" height="2.176ex" style="vertical-align: -0.505ex;" viewBox="0 -719.6 778.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222Z"></path></g></svg></span> is the <em>bitwise XOR</em> operation, which corresponds to the <code>^</code> operator in most languages. Learn more about it on <a href="https://en.wikipedia.org/wiki/Exclusive_or">Wikipedia</a>. <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-14-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.936ex" height="2.343ex" style="vertical-align: -0.338ex;" viewBox="0 -863.1 833.5 1008.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g></svg></span> is the modulo operator. <br>
+Finally, size(arr[idx]) is the number of elements in arr[idx] </p>
+
+<p><strong>Function Description</strong> </p>
+
+<p>Complete the <em>dynamicArray</em> function below. </p>
+
+<p><em>dynamicArray</em> has the following parameters: <br>
+- <em>int n:</em> the number of empty arrays to initialize in <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-15-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="3.327ex" height="1.676ex" style="vertical-align: -0.338ex;" viewBox="0 -576.1 1432.5 721.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></svg></span> <br>
+- <em>string queries[q]:</em> query strings that contain 3 space-separated integers </p>
+
+<p><strong>Returns</strong> </p>
+
+<ul>
+<li><em>int[]:</em> the results of each type 2 query in the order they are presented </li>
+</ul></div></div></div><div class='challenge_input_format'><div class='msB challenge_input_format_title'><p><strong>Input Format</strong></p></div><div class='msB challenge_input_format_body'><div class='hackdown-content'><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
+.MathJax_SVG .MJX-monospace {font-family: monospace}
+.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
+.MathJax_SVG {display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 100%; font-size-adjust: none; text-indent: 0; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; padding: 0; margin: 0}
+.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
+.mjx-svg-href {fill: blue; stroke: blue}
+.MathJax_SVG_LineBox {display: table!important}
+.MathJax_SVG_LineBox span {display: table-cell!important; width: 10000em!important; min-width: 0; max-width: none; padding: 0; border: 0; margin: 0}
+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><p>The first line contains two space-separated integers, <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-1-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.395ex" height="1.676ex" style="vertical-align: -0.338ex;" viewBox="0 -576.1 600.5 721.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g></svg></span>, the size of <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-2-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="3.327ex" height="1.676ex" style="vertical-align: -0.338ex;" viewBox="0 -576.1 1432.5 721.6" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></svg></span> to create, and <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-3-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.07ex" height="2.009ex" style="vertical-align: -0.671ex;" viewBox="0 -576.1 460.5 865.1" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></svg></span>, the number of queries, respectively. <br>
+Each of the <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-4-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.07ex" height="2.009ex" style="vertical-align: -0.671ex;" viewBox="0 -576.1 460.5 865.1" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g></svg></span> subsequent lines contains a query string, <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-5-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="9.604ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 4135 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path><g transform="translate(460,0)"><path stroke-width="1" d="M21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1033,0)"><path stroke-width="1" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g transform="translate(1499,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1951,0)"><path stroke-width="1" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g transform="translate(2296,0)"><path stroke-width="1" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g transform="translate(2763,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(3232,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(3511,0)"><path stroke-width="1" d="M184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Z"></path></g><g transform="translate(3856,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span>.</p></div></div></div><div class='challenge_constraints'><div class='msB challenge_constraints_title'><p><strong>Constraints</strong></p></div><div class='msB challenge_constraints_body'><div class='hackdown-content'><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
+.MathJax_SVG .MJX-monospace {font-family: monospace}
+.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
+.MathJax_SVG {display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 100%; font-size-adjust: none; text-indent: 0; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; padding: 0; margin: 0}
+.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
+.mjx-svg-href {fill: blue; stroke: blue}
+.MathJax_SVG_LineBox {display: table!important}
+.MathJax_SVG_LineBox span {display: table-cell!important; width: 10000em!important; min-width: 0; max-width: none; padding: 0; border: 0; margin: 0}
+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><ul>
+<li><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-1-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="14.237ex" height="3.009ex" style="vertical-align: -0.671ex;" viewBox="0 -1006.6 6129.7 1295.7" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><g transform="translate(778,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(1834,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(2435,0)"><path stroke-width="1" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g transform="translate(2880,0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326Z"></path></g><g transform="translate(3618,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(4674,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><g transform="translate(1001,393)"><path stroke-width="1" transform="scale(0.707)" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></g></g></svg></span></li>
+<li><span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-2-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="14.258ex" height="3.009ex" style="vertical-align: -0.671ex;" viewBox="0 -1006.6 6138.7 1295.7" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path><g transform="translate(778,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(1834,0)"><path stroke-width="1" d="M52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289Z"></path></g><g transform="translate(2407,0)"><path stroke-width="1" d="M78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17Z"></path></g><g transform="translate(2852,0)"><path stroke-width="1" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(3627,0)"><path stroke-width="1" d="M674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118Z"></path></g><g transform="translate(4683,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path><g transform="translate(1001,393)"><path stroke-width="1" transform="scale(0.707)" d="M352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248Z"></path></g></g></g></svg></span></li>
+<li>It is guaranteed that query type <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-3-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.162ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 500.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></svg></span> will never query an empty array or index.</li>
+</ul></div></div></div><div class='challenge_sample_input'><div class='msB challenge_sample_input_title'><p><strong>Sample Input</strong></p></div><div class='msB challenge_sample_input_body'><div class='hackdown-content'><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
+.MathJax_SVG .MJX-monospace {font-family: monospace}
+.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
+.MathJax_SVG {display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 100%; font-size-adjust: none; text-indent: 0; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; padding: 0; margin: 0}
+.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
+.mjx-svg-href {fill: blue; stroke: blue}
+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><pre><code>2 5
+1 0 5
+1 1 7
+1 0 3
+2 1 0
+2 1 1
+</code></pre></div></div></div><div class='challenge_sample_output'><div class='msB challenge_sample_output_title'><p><strong>Sample Output</strong></p></div><div class='msB challenge_sample_output_body'><div class='hackdown-content'><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
+.MathJax_SVG .MJX-monospace {font-family: monospace}
+.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
+.MathJax_SVG {display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 100%; font-size-adjust: none; text-indent: 0; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; padding: 0; margin: 0}
+.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
+.mjx-svg-href {fill: blue; stroke: blue}
+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><pre><code>7
+3
+</code></pre></div></div></div><div class='challenge_explanation'><div class='msB challenge_explanation_title'><p><strong>Explanation</strong></p></div><div class='msB challenge_explanation_body'><div class='hackdown-content'><style id="MathJax_SVG_styles">.MathJax_SVG_Display {text-align: center; margin: 1em 0em; position: relative; display: block!important; text-indent: 0; max-width: none; max-height: none; min-width: 0; min-height: 0; width: 100%}
+.MathJax_SVG .MJX-monospace {font-family: monospace}
+.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}
+.MathJax_SVG {display: inline; font-style: normal; font-weight: normal; line-height: normal; font-size: 100%; font-size-adjust: none; text-indent: 0; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0; min-height: 0; border: 0; padding: 0; margin: 0}
+.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}
+.mjx-svg-href {fill: blue; stroke: blue}
+.MathJax_SVG_LineBox {display: table!important}
+.MathJax_SVG_LineBox span {display: table-cell!important; width: 10000em!important; min-width: 0; max-width: none; padding: 0; border: 0; margin: 0}
+</style><svg style="display: none;"><defs id="MathJax_SVG_glyphs"></defs></svg><p><em>Initial Values:</em> <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-1-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.656ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 2435.1 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path><g transform="translate(878,0)"><path stroke-width="1" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g transform="translate(1934,0)"><path stroke-width="1" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g></g></svg></span> <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-2-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="16.139ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 6948.6 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59Z"></path><g transform="translate(298,0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g transform="translate(828,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(1297,0)"><path stroke-width="1" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g transform="translate(1659,0)"><path stroke-width="1" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g transform="translate(2409,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(3010,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(3479,0)"><path stroke-width="1" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g transform="translate(4196,0)"><path stroke-width="1" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g transform="translate(4662,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(5391,0)"><path stroke-width="1" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g transform="translate(6448,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></svg></span> <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-3-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [ ] <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-4-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [ ] </p>
+
+<p><em>Query 0:</em> Append <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-5-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.162ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 500.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157Z"></path></g></svg></span> to <span style="font-size: 100%; display: 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433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(10420,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(10872,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(11150,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g transform="translate(11651,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span>. <br>
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0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g transform="translate(2409,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(3010,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(3479,0)"><path stroke-width="1" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g transform="translate(4196,0)"><path stroke-width="1" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g transform="translate(4662,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(5391,0)"><path stroke-width="1" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g transform="translate(6448,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></svg></span> <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-8-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [5] <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-9-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [ ] </p>
+
+<p><em>Query 1:</em> Append <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-10-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.162ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 500.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></svg></span> to <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-11-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="27.707ex" height="2.843ex" 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333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g transform="translate(2350,0)"><path stroke-width="1" d="M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z"></path></g><g transform="translate(2740,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g transform="translate(3462,0)"><path stroke-width="1" d="M56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222Z"></path></g><g transform="translate(4463,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g transform="translate(4963,0)"><path stroke-width="1" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g transform="translate(5603,0)"><path stroke-width="1" d="M465 605Q428 605 394 614T340 632T319 641Q332 608 332 548Q332 458 293 403T202 347Q145 347 101 402T56 548Q56 637 101 693T202 750Q241 750 272 719Q359 642 464 642Q580 642 650 732Q662 748 668 749Q670 750 673 750Q682 750 688 743T693 726Q178 -47 170 -52Q166 -56 160 -56Q147 -56 142 -45Q137 -36 142 -27Q143 -24 363 304Q469 462 525 546T581 630Q528 605 465 605ZM207 385Q235 385 263 427T292 548Q292 617 267 664T200 712Q193 712 186 709T167 698T147 668T134 615Q132 595 132 548V527Q132 436 165 403Q183 385 203 385H207ZM500 146Q500 234 544 290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g transform="translate(6686,0)"><path stroke-width="1" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g transform="translate(7437,0)"><path stroke-width="1" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g transform="translate(7826,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g><g transform="translate(8383,0)"><path stroke-width="1" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g transform="translate(9439,0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g transform="translate(9969,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(10420,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(10872,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(11150,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g transform="translate(11651,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span>. <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-12-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [5] <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-13-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [7] </p>
+
+<p><em>Query 2:</em> Append <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-14-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.162ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 500.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></svg></span> to <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-15-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="27.707ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 11929.5 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 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290T647 347Q699 347 737 292T776 146T737 0T646 -56Q590 -56 545 0T500 146ZM651 -18Q679 -18 707 24T736 146Q736 215 711 262T644 309Q637 309 630 306T611 295T591 265T578 212Q577 200 577 146V124Q577 -18 647 -18H651Z"></path></g><g transform="translate(6686,0)"><path stroke-width="1" d="M109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429Z"></path></g><g transform="translate(7437,0)"><path stroke-width="1" d="M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z"></path></g><g transform="translate(7826,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g><g transform="translate(8383,0)"><path stroke-width="1" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g transform="translate(9439,0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g transform="translate(9969,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(10420,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(10872,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(11150,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g transform="translate(11651,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span>. <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-16-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="16.139ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 6948.6 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59Z"></path><g transform="translate(298,0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path></g><g transform="translate(828,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(1297,0)"><path stroke-width="1" d="M26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26Z"></path></g><g transform="translate(1659,0)"><path stroke-width="1" d="M208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g transform="translate(2409,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(3010,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289Z"></path></g><g transform="translate(3479,0)"><path stroke-width="1" d="M580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385Z"></path></g><g transform="translate(4196,0)"><path stroke-width="1" d="M39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353Z"></path></g><g transform="translate(4662,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(5391,0)"><path stroke-width="1" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g transform="translate(6448,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></g></svg></span> <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-17-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [5, 3] <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-18-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [7] </p>
+
+<p><em>Query 3:</em> Assign the value at index <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-19-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.162ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 500.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g></svg></span> of <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-20-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="27.707ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 11929.5 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M94 250Q94 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2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260Z"></path></g><g transform="translate(2409,0)"><path stroke-width="1" d="M21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(3010,0)"><path stroke-width="1" d="M131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 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292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(5391,0)"><path stroke-width="1" d="M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z"></path></g><g transform="translate(6448,0)"><path stroke-width="1" d="M55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458Z"></path></g></g></svg></span> <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-24-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [5, 3] <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-25-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [7] </p>
+
+<pre><code>7
+</code></pre>
+
+<p><em>Query 4:</em> Assign the value at index <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-26-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="1.162ex" height="2.176ex" style="vertical-align: -0.338ex;" viewBox="0 -791.3 500.5 936.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g></svg></span> of <span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-27-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="27.707ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 11929.5 1223.9" role="img" 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366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path></g></g></svg></span> <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-31-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [5, 3] <br>
+<span style="font-size: 100%; display: inline-block;" class="MathJax_SVG" id="MathJax-Element-32-Frame"><svg xmlns:xlink="http://www.w3.org/1999/xlink" width="5.783ex" height="2.843ex" style="vertical-align: -0.838ex;" viewBox="0 -863.1 2490 1223.9" role="img" focusable="false"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><path stroke-width="1" d="M33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328Z"></path><g transform="translate(529,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(981,0)"><path stroke-width="1" d="M21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g><g transform="translate(1432,0)"><path stroke-width="1" d="M118 -250V750H255V710H158V-210H255V-250H118Z"></path></g><g transform="translate(1711,0)"><path stroke-width="1" d="M213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578Z"></path></g><g transform="translate(2211,0)"><path stroke-width="1" d="M22 710V750H159V-250H22V-210H119V710H22Z"></path></g></g></svg></span> = [7] </p>
+
+<pre><code>3
+</code></pre></div></div></div></div></div></div></div></div></div></div><div class="fs-right-pane"><div class="challenge-page-wrap theme-m-content"><section class="code-editor-section split"><div><div><div></div><div class="hr-monaco-editor-wrapper"><div class="loading-editor text-center"></div></div></div></div><div class="challenge-response fs-container"></div></section></div></div></div></div></div></div></div></section></div></div><footer class="community-footer"><ul class="footer-links"><li class="link-item"><a target="_blank" class="footer-link calendar" data-analytics="FooterLinkCalendar" href="/calendar">Contest Calendar</a></li><li class="link-item"><a target="_blank" class="footer-link blog" data-analytics="FooterLinkBlog" href="//blog.hackerrank.com">Blog</a></li><li class="link-item"><a target="_blank" class="footer-link scoring" data-analytics="FooterLinkScoring" href="/scoring">Scoring</a></li><li class="link-item"><a target="_blank" class="footer-link environment" data-analytics="FooterLinkEnvironment" href="/environment">Environment</a></li><li class="link-item"><a target="_blank" class="footer-link faq" data-analytics="FooterLinkFAQ" href="/faq">FAQ</a></li><li class="link-item"><a target="_blank" class="footer-link" data-analytics="FooterLinkAboutUs" href="//www.hackerrank.com/aboutus">About Us</a></li><li class="link-item"><a target="_blank" class="footer-link" data-analytics="FooterLinkSupport" href="//help.hackerrank.com/hc/en-us">Support</a></li><li class="link-item"><a target="_blank" class="footer-link" data-analytics="FooterLinkCareers" href="//www.hackerrank.com/careers">Careers</a></li><li class="link-item"><a target="_blank" class="footer-link" data-analytics="FooterLinkTermsOfService" href="/terms-of-service">Terms Of Service</a></li><li class="link-item"><a target="_blank" class="footer-link" data-analytics="FooterLinkPrivacyPolicy" href="/privacy">Privacy Policy</a></li><li class="link-item"><a target="_blank" class="footer-link featureRequestButton" data-analytics="FooterLinkFeatureRequest" href="/support/feature">Request a Feature</a></li></ul></footer></div></div></div></div></div><!--Required to handle event bubbling of click in ios safari -->
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%20%20%20const%20ws%20=%20fs.createWriteStream(process.env.OUTPUT_PATH);%5Cn%5Cn%20%20%20%20const%20firstMultipleInput%20=%20readLine().replace(/%5C%5Cs+$/g,%20'').split('%20');%5Cn%5Cn%20%20%20%20const%20n%20=%20parseInt(firstMultipleInput%5B0%5D,%2010);%5Cn%5Cn%20%20%20%20const%20q%20=%20parseInt(firstMultipleInput%5B1%5D,%2010);%5Cn%5Cn%20%20%20%20let%20queries%20=%20Array(q);%5Cn%5Cn%20%20%20%20for%20(let%20i%20=%200;%20i%20%3C%20q;%20i++)%20%7B%5Cn%20%20%20%20%20%20%20%20queries%5Bi%5D%20=%20readLine().replace(/%5C%5Cs+$/g,%20'').split('%20').map(queriesTemp%20=%3E%20parseInt(queriesTemp,%2010));%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20const%20result%20=%20dynamicArray(n,%20queries);%5Cn%5Cn%20%20%20%20ws.write(result.join('%5C%5Cn')%20+%20'%5C%5Cn');%5Cn%5Cn%20%20%20%20ws.end();%5Cn%7D%5Cn%22,%22typescript_template%22:%22/*%5Cn%20*%20Complete%20the%20'dynamicArray'%20function%20below.%5Cn%20*%5Cn%20*%20The%20function%20is%20expected%20to%20return%20an%20INTEGER_ARRAY.%5Cn%20*%20The%20function%20accepts%20following%20parameters:%5Cn%20*%20%201.%20INTEGER%20n%5Cn%20*%20%202.%202D_INTEGER_ARRAY%20queries%5Cn%20*/%5Cn%5Cnfunction%20dynamicArray(n:%20number,%20queries:%20number%5B%5D%5B%5D):%20number%5B%5D%20%7B%5Cn%20%20%20%20//%20Write%20your%20code%20here%5Cn%5Cn%7D%5Cn%5Cn%22,%22typescript_template_head%22:%22'use%20strict';%5Cn%5Cnimport%20%7B%20WriteStream,%20createWriteStream%20%7D%20from%20%5C%22fs%5C%22;%5Cnprocess.stdin.resume();%5Cnprocess.stdin.setEncoding('utf-8');%5Cn%5Cnlet%20inputString:%20string%20=%20'';%5Cnlet%20inputLines:%20string%5B%5D%20=%20%5B%5D;%5Cnlet%20currentLine:%20number%20=%200;%5Cn%5Cnprocess.stdin.on('data',%20function(inputStdin:%20string):%20void%20%7B%5Cn%20%20%20%20inputString%20+=%20inputStdin;%5Cn%7D);%5Cn%5Cnprocess.stdin.on('end',%20function():%20void%20%7B%5Cn%20%20%20%20inputLines%20=%20inputString.split('%5C%5Cn');%5Cn%20%20%20%20inputString%20=%20'';%5Cn%5Cn%20%20%20%20main();%5Cn%7D);%5Cn%5Cnfunction%20readLine():%20string%20%7B%5Cn%20%20%20%20return%20inputLines%5BcurrentLine++%5D;%5Cn%7D%5Cn%5Cn%22,%22typescript_template_tail%22:%22function%20main()%20%7B%5Cn%20%20%20%20const%20ws:%20WriteStream%20=%20createWriteStream(process.env%5B'OUTPUT_PATH'%5D);%5Cn%5Cn%20%20%20%20const%20firstMultipleInput:%20string%5B%5D%20=%20readLine().replace(/%5C%5Cs+$/g,%20'').split('%20');%5Cn%5Cn%20%20%20%20const%20n:%20number%20=%20parseInt(firstMultipleInput%5B0%5D,%2010);%5Cn%5Cn%20%20%20%20const%20q:%20number%20=%20parseInt(firstMultipleInput%5B1%5D,%2010);%5Cn%5Cn%20%20%20%20let%20queries:%20number%5B%5D%5B%5D%20=%20Array(q);%5Cn%5Cn%20%20%20%20for%20(let%20i:%20number%20=%200;%20i%20%3C%20q;%20i++)%20%7B%5Cn%20%20%20%20%20%20%20%20queries%5Bi%5D%20=%20readLine().replace(/%5C%5Cs+$/g,%20'').split('%20').map(queriesTemp%20=%3E%20parseInt(queriesTemp,%2010));%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20const%20result:%20number%5B%5D%20=%20dynamicArray(n,%20queries);%5Cn%5Cn%20%20%20%20ws.write(result.join('%5C%5Cn')%20+%20'%5C%5Cn');%5Cn%5Cn%20%20%20%20ws.end();%5Cn%7D%5Cn%22,%22go_template%22:%22/*%5Cn%20*%20Complete%20the%20'dynamicArray'%20function%20below.%5Cn%20*%5Cn%20*%20The%20function%20is%20expected%20to%20return%20an%20INTEGER_ARRAY.%5Cn%20*%20The%20function%20accepts%20following%20parameters:%5Cn%20*%20%201.%20INTEGER%20n%5Cn%20*%20%202.%202D_INTEGER_ARRAY%20queries%5Cn%20*/%5Cn%5Cnfunc%20dynamicArray(n%20int32,%20queries%20%5B%5D%5B%5Dint32)%20%5B%5Dint32%20%7B%5Cn%20%20%20%20//%20Write%20your%20code%20here%5Cn%5Cn%7D%5Cn%5Cn%22,%22go_template_head%22:%22package%20main%5Cn%5Cnimport%20(%5Cn%20%20%20%20%5C%22bufio%5C%22%5Cn%20%20%20%20%5C%22fmt%5C%22%5Cn%20%20%20%20%5C%22io%5C%22%5Cn%20%20%20%20%5C%22os%5C%22%5Cn%20%20%20%20%5C%22strconv%5C%22%5Cn%20%20%20%20%5C%22strings%5C%22%5Cn)%5Cn%5Cn%22,%22go_template_tail%22:%22func%20main()%20%7B%5Cn%20%20%20%20reader%20:=%20bufio.NewReaderSize(os.Stdin,%2016%20*%201024%20*%201024)%5Cn%5Cn%20%20%20%20stdout,%20err%20:=%20os.Create(os.Getenv(%5C%22OUTPUT_PATH%5C%22))%5Cn%20%20%20%20checkError(err)%5Cn%5Cn%20%20%20%20defer%20stdout.Close()%5Cn%5Cn%20%20%20%20writer%20:=%20bufio.NewWriterSize(stdout,%2016%20*%201024%20*%201024)%5Cn%5Cn%20%20%20%20firstMultipleInput%20:=%20strings.Split(strings.TrimSpace(readLine(reader)),%20%5C%22%20%5C%22)%5Cn%5Cn%20%20%20%20nTemp,%20err%20:=%20strconv.ParseInt(firstMultipleInput%5B0%5D,%2010,%2064)%5Cn%20%20%20%20checkError(err)%5Cn%20%20%20%20n%20:=%20int32(nTemp)%5Cn%5Cn%20%20%20%20qTemp,%20err%20:=%20strconv.ParseInt(firstMultipleInput%5B1%5D,%2010,%2064)%5Cn%20%20%20%20checkError(err)%5Cn%20%20%20%20q%20:=%20int32(qTemp)%5Cn%5Cn%20%20%20%20var%20queries%20%5B%5D%5B%5Dint32%5Cn%20%20%20%20for%20i%20:=%200;%20i%20%3C%20int(q);%20i++%20%7B%5Cn%20%20%20%20%20%20%20%20queriesRowTemp%20:=%20strings.Split(strings.TrimRight(readLine(reader),%5C%22%20%5C%5Ct%5C%5Cr%5C%5Cn%5C%22),%20%5C%22%20%5C%22)%5Cn%5Cn%20%20%20%20%20%20%20%20var%20queriesRow%20%5B%5Dint32%5Cn%20%20%20%20%20%20%20%20for%20_,%20queriesRowItem%20:=%20range%20queriesRowTemp%20%7B%5Cn%20%20%20%20%20%20%20%20%20%20%20%20queriesItemTemp,%20err%20:=%20strconv.ParseInt(queriesRowItem,%2010,%2064)%5Cn%20%20%20%20%20%20%20%20%20%20%20%20checkError(err)%5Cn%20%20%20%20%20%20%20%20%20%20%20%20queriesItem%20:=%20int32(queriesItemTemp)%5Cn%20%20%20%20%20%20%20%20%20%20%20%20queriesRow%20=%20append(queriesRow,%20queriesItem)%5Cn%20%20%20%20%20%20%20%20%7D%5Cn%5Cn%20%20%20%20%20%20%20%20if%20len(queriesRow)%20!=%203%20%7B%5Cn%20%20%20%20%20%20%20%20%20%20%20%20panic(%5C%22Bad%20input%5C%22)%5Cn%20%20%20%20%20%20%20%20%7D%5Cn%5Cn%20%20%20%20%20%20%20%20queries%20=%20append(queries,%20queriesRow)%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20result%20:=%20dynamicArray(n,%20queries)%5Cn%5Cn%20%20%20%20for%20i,%20resultItem%20:=%20range%20result%20%7B%5Cn%20%20%20%20%20%20%20%20fmt.Fprintf(writer,%20%5C%22%25d%5C%22,%20resultItem)%5Cn%5Cn%20%20%20%20%20%20%20%20if%20i%20!=%20len(result)%20-%201%20%7B%5Cn%20%20%20%20%20%20%20%20%20%20%20%20fmt.Fprintf(writer,%20%5C%22%5C%5Cn%5C%22)%5Cn%20%20%20%20%20%20%20%20%7D%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20fmt.Fprintf(writer,%20%5C%22%5C%5Cn%5C%22)%5Cn%5Cn%20%20%20%20writer.Flush()%5Cn%7D%5Cn%5Cnfunc%20readLine(reader%20*bufio.Reader)%20string%20%7B%5Cn%20%20%20%20str,%20_,%20err%20:=%20reader.ReadLine()%5Cn%20%20%20%20if%20err%20==%20io.EOF%20%7B%5Cn%20%20%20%20%20%20%20%20return%20%5C%22%5C%22%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20return%20strings.TrimRight(string(str),%20%5C%22%5C%5Cr%5C%5Cn%5C%22)%5Cn%7D%5Cn%5Cnfunc%20checkError(err%20error)%20%7B%5Cn%20%20%20%20if%20err%20!=%20nil%20%7B%5Cn%20%20%20%20%20%20%20%20panic(err)%5Cn%20%20%20%20%7D%5Cn%7D%5Cn%22,%22python3_template%22:%22#%5Cn#%20Complete%20the%20'dynamicArray'%20function%20below.%5Cn#%5Cn#%20The%20function%20is%20expected%20to%20return%20an%20INTEGER_ARRAY.%5Cn#%20The%20function%20accepts%20following%20parameters:%5Cn#%20%201.%20INTEGER%20n%5Cn#%20%202.%202D_INTEGER_ARRAY%20queries%5Cn#%5Cn%5Cndef%20dynamicArray(n,%20queries):%5Cn%20%20%20%20#%20Write%20your%20code%20here%5Cn%5Cn%22,%22python3_template_head%22:%22#!/bin/python3%5Cn%5Cnimport%20math%5Cnimport%20os%5Cnimport%20random%5Cnimport%20re%5Cnimport%20sys%5Cn%5Cn%22,%22python3_template_tail%22:%22if%20__name__%20==%20'__main__':%5Cn%20%20%20%20fptr%20=%20open(os.environ%5B'OUTPUT_PATH'%5D,%20'w')%5Cn%5Cn%20%20%20%20first_multiple_input%20=%20input().rstrip().split()%5Cn%5Cn%20%20%20%20n%20=%20int(first_multiple_input%5B0%5D)%5Cn%5Cn%20%20%20%20q%20=%20int(first_multiple_input%5B1%5D)%5Cn%5Cn%20%20%20%20queries%20=%20%5B%5D%5Cn%5Cn%20%20%20%20for%20_%20in%20range(q):%5Cn%20%20%20%20%20%20%20%20queries.append(list(map(int,%20input().rstrip().split())))%5Cn%5Cn%20%20%20%20result%20=%20dynamicArray(n,%20queries)%5Cn%5Cn%20%20%20%20fptr.write('%5C%5Cn'.join(map(str,%20result)))%5Cn%20%20%20%20fptr.write('%5C%5Cn')%5Cn%5Cn%20%20%20%20fptr.close()%5Cn%22,%22objectivec_template%22:%22@interface%20Solution:NSObject%5Cn-%20(NSArray%20*)%20dynamicArray:(NSNumber%20*)n%20queries:(NSArray%20*)queries;%5Cn@end%5Cn%5Cn@implementation%20Solution%5Cn/*%5Cn%20*%20Complete%20the%20'dynamicArray'%20function%20below.%5Cn%20*%5Cn%20*%20The%20function%20is%20expected%20to%20return%20an%20INTEGER_ARRAY.%5Cn%20*%20The%20function%20accepts%20following%20parameters:%5Cn%20*%20%201.%20INTEGER%20n%5Cn%20*%20%202.%202D_INTEGER_ARRAY%20queries%5Cn%20*/%5Cn%5Cn-%20(NSArray%20*)%20dynamicArray:(NSNumber%20*)n%20queries:(NSArray%20*)queries%20%7B%5Cn%20%20%20%20//%20Write%20your%20code%20here%5Cn%5Cn%7D%5Cn%5Cn@end%5Cn%5Cn%22,%22objectivec_template_head%22:%22#import%20%3CFoundation/Foundation.h%3E%5Cn#import%20%3Cobjc/Object.h%3E%5Cn#import%20%3Cobjc/objc.h%3E%5Cn%5Cn@interface%20NSString%20(StringByTrimmingTrailingCharactersInSet)%5Cn-%20(NSString%20*)%20stringByTrimmingTrailingCharactersInSet:(NSCharacterSet%20*)characterSet;%5Cn@end%5Cn%5Cn@implementation%20NSString%20(StringByTrimmingTrailingCharactersInSet)%5Cn-%20(NSString%20*)%20stringByTrimmingTrailingCharactersInSet:(NSCharacterSet%20*)characterSet%20%7B%5Cn%20%20%20%20NSRange%20end%20=%20%5Bself%20rangeOfCharacterFromSet:%5BcharacterSet%20invertedSet%5D%20options:NSBackwardsSearch%5D;%5Cn%5Cn%20%20%20%20if%20(end.location%20==%20NSNotFound)%20%7B%5Cn%20%20%20%20%20%20%20%20return%20@%5C%22%5C%22;%5Cn%20%20%20%20%7D%5Cn%5Cn%20%20%20%20return%20%5Bself%20substringToIndex:end.location%20+%201%5D;%5Cn%7D%5Cn@end%5Cn%5Cn@interface%20NSString%20(NumberFromString)%5Cn-%20(NSNumber%20*)%20numberFromString:(NSNumberFormatter%20*)formatter;%5Cn@end%5Cn%5Cn@implementation%20NSString%20(NumberFromString)%5Cn-%20(NSNumber%20*)%20numberFromString:(NSNumberFormatter%20*)formatter%20%7B%5Cn%20%20%20%20NSNumber%20*number%20=%20%5Bformatter%20numberFromString:%5Bself%20stringByTrimmingCharactersInSet:%5BNSCharacterSet%20whitespaceAndNewlineCharacterSet%5D%5D%5D;%5Cn%5Cn%20%20%20%20if%20(number%20==%20nil)%20%7B%5Cn%20%20%20%20%20%20%20%20%5BNSException%20raise:@%5C%22Bad%20Input%5C%22%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+</script>
+<script src="https://hrcdn.net/community-frontend/assets/runtime-fb8c72e7.js"></script>
+
+ <script src="https://hrcdn.net/community-frontend/assets/chunks_runtime-112e7d0014.js"></script>
+
+<script src="https://hrcdn.net/community-frontend/assets/hackerrank_r_client-a1e4fcb6.js"></script>
+
+
+ <script>
+ // HR namespace
+ HR = window.HR || {};
+ HR.firebaseConfig = {"apiKey":"AIzaSyByUOhaiUFzuu3Cil0y1jIWfS8NfFFjpMc","authDomain":"codepair-dev.firebaseapp.com","databaseURL":"codepair-dev.firebaseio.com","fbProxyEndpoint":"codepair-proxy.hackerrank.link","akamaiProxyEndpoint":"sync-staging.hackerrank.com","databaseName":"codepair-dev"};
+ HR.productNamespace = 'hackerrank';
+ HR.stripe = {"key":"pk_PBXVCPHjyi31lIcbSe2mnlWEIYUzG"};
+ HR.servicesBaseUrl = "https://services.hackerrank.com";
+ HR.pendoAPIKey = "6a49047d-7d4c-46f5-7b81-8b6193d6bf7b";
+ </script>
+
+ <!-- Add app.js before adding track scripts -->
+ <script src="https://hrcdn.net/community-frontend/assets/vendors~hackerrank_r_app-28305acf.js"></script>
+ <script src="https://hrcdn.net/community-frontend/assets/modules~hackerrank_r_app-f34bbdfa.js"></script>
+ <script src="https://hrcdn.net/community-frontend/assets/hackerrank_r_app-af51e52d.js"></script>
+
+ <script type="application/json" id="initialUserData">
+ %7B%22contestHistory%22:%7B%22list%22:%5B%5D,%22total%22:0%7D,%22badges%22:%5B%5D,%22additional%22:%7B%7D,%22badges_version%22:1,%22scores%22:%7B%7D,%22rating%22:%5B%5D,%22submissionHistory%22:%7B%7D,%22recentChallenges%22:%7B%22list%22:%5B%5D,%22cursor%22:null,%22lastPage%22:true%7D,%22recentDiscussions%22:%5B%5D,%22threadId%22:null%7D
+ </script>
+ <script>
+ var getUser = (function() {
+ var userData;
+ if (HR.userEmitter) {
+ HR.userEmitter.on('initializeNewUser', function(user) {
+ userData = user;
+ });
+ }
+ try{
+ if (typeof userData === 'undefined') {
+ var initialDataElm = document.querySelector('#initialUserData');
+ userData = JSON.parse(decodeURI(initialDataElm.innerHTML));
+ initialDataElm.remove();
+ }
+ } catch(e){
+ userData = {};
+ console.log('No initial User data found');
+ }
+ return function() {
+ return userData;
+ }
+ })();
+ </script>
+
+<!-- setting up sentry -->
+
+ <script src='https://cdn.ravenjs.com/3.22.1/raven.min.js' async crossorigin='anonymous' id="raven"></script>
+ <script>
+ (function(window, queue, loaded, script, user) {
+
+ var setupRaven = function(user) {
+ var userContext = {};
+ var extraContext = {};
+ if (user && !!user.id) {
+ userContext.handle = user.id;
+ }
+ if (window.Cookies) {
+ if (HR.productNamespace === 'hackerrank') {
+ extraContext.mixpanel_token = Cookies.get('hackerrank_mixpanel_token')
+ } else if (HR.productNamespace === 'hackerrankx') {
+ extraContext.mixpanel_token = Cookies.get('hackerrankx_mixpanel_token')
+ }
+ }
+ if(typeof Raven !== 'undefined') {
+ Raven.setUserContext(userContext);
+ Raven.setExtraContext(extraContext);
+ }
+ }
+ HR.userEmitter.on('initializeNewUser', function(user) {
+ setupRaven(user);
+ });
+
+ window.onerror = function e(message, file, lineNo, columnNo, error) {
+ if (loaded) return;
+ queue.push([message, file, lineNo, columnNo, error]);
+ };
+
+ window.onunhandledrejection = function e(error) {
+ if (loaded) return;
+ queue.push([
+ error.reason,
+ ]);
+ };
+
+ script.onreadystatechange = script.onload = function() {
+ if (loaded) return;
+ loaded = true;
+
+ Raven.config('https://6b2d52b23d5a4dd4bc44330335327c04@sentry.io/234162', {
+ captureUnhandledRejections: true,
+ release: window.MANIFEST_VERSION,
+ ignoreUrls: [/cdn\.userty\.com/],
+ ignoreErrors: [
+ 'Error: Connection is disposed',
+ 'Connection got disposed',
+ 'A network error occurred',
+ 'Model is disposed!',
+ 'Unable to get property \'isVisible\' of undefined',
+ 'Cannot read property \'isVisible\' of undefined',
+ "Cannot destructure property 'language' of 'e' as it is null.",
+ 'Language Client services has not been installed',
+ ],
+ }).install();
+
+ setupRaven(user);
+
+ queue.forEach(function(error) {
+ Raven.captureException(error[4] || error[0], {
+ extra: {
+ file: error[1],
+ line: error[2],
+ col: error[3],
+ },
+ });
+ });
+ };
+ }(window, [], false, document.getElementById('raven'), getUser()));
+ </script>
+
+
+<!-- Mixpanel Stub -->
+<script type="text/javascript">
+ window.mixpanel = window.mixpanel || [];
+ var attrs = "disable track track_pageview track_links track_forms register register_once alias unregister identify name_tag set_config people.set people.set_once people.increment people.append people.track_charge people.clear_charges people.delete_user".split(" ");
+ for (var attribute in attrs) {
+ mixpanel[attrs[attribute]] = function () {};
+ }
+</script>
+
+<!-- google analytics tracking -->
+<script>
+ var _gaq = _gaq || [];
+
+</script>
+<!-- Pending candidate site custom GA code -->
+<!-- google analytics tracking end-->
+
+<!-- fullstory tracking start -->
+
+<!-- fullstory tracking end -->
+
+<!-- Pendo Tracking -->
+
+<!-- Pendo Tracking end -->
+
+<!-- GTM tracking -->
+
+<script type="text/javascript">
+ var gtmTracking = function (user){
+ if (window.dataLayer) {
+
+
+
+ window.dataLayer.push({
+ 'event': 'identify',
+ onboardingStatus: user.onboarding_status,
+ sourcingJobsConsent: user.sourcing_jobs_consent,
+ signupIntent: user.signup_intent,
+ isProfessional: user.is_professional,
+ });
+
+ }
+ }
+ gtmTracking(getUser());
+ HR.userEmitter.on('initializeNewUser', function(user) {
+ gtmTracking(user);
+ });
+
+</script>
+
+<!-- GTM tracking end -->
+
+
+<!-- Google Tag Manager (noscript) #1 -->
+<noscript><iframe src="https://www.googletagmanager.com/ns.html?id=GTM-NZTBQVZ"
+height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
+<!-- End Google Tag Manager (noscript) #1 -->
+
+
+<!-- Marketo to be added later -->
+
+<!-- Bizible -->
+
+<!-- HR metrics init -->
+<script type="text/javascript">
+
+ (function() {
+ hr_metrics.init({
+ product: 'hackerrank',
+ use_cookie: true,
+ uid_cookie_key: 'hackerrank_mixpanel_token',
+ uid_token_cookie_key: 'metrics_user_identifier',
+ session_cookie_key: 'session_id',
+ metrics_endpoint: 'https://metrics.hackerrank.com/metrics'
+ });
+ })();
+
+ (function(h) {
+ window.hr_metrics = h;
+ if (!h.loaded) {
+ var a = ['track', 'batch_track', 'app_track', 'externalService', 'init', 'batch_track_record', 'track_dwell_time', 'set_navigation_data'];
+ for (var i = 0; i < a.length; i++) {
+ if (!h[a[i]]) {h[a[i]] = function() {};}
+ }
+ }
+ })(window.hr_metrics || {});
+
+
+
+</script>
+<!-- hrutm_params -->
+
+<!-- HR metrics extension pack -->
+<script type="text/javascript">
+
+
+ if (('performance' in window) && ('timing' in window.performance)) {
+ window.addEventListener('load', function() {
+ setTimeout(function(){
+ var timing = window.performance.timing;
+ var obj = {
+ referring_url: window.location.pathname,
+ fullLoadTime: timing.loadEventEnd - timing.navigationStart,
+ // Total time from req start to load
+ loadTime: timing.loadEventEnd - timing.fetchStart,
+ // Time spent constructing the DOM tree
+ domReadyTime: timing.domComplete - timing.domInteractive,
+ // Time consumed preparing the new page
+ readyStart: timing.fetchStart - timing.navigationStart,
+ // Time spent during redirection
+ redirectTime: timing.redirectEnd - timing.redirectStart,
+ // AppCache
+ appcacheTime: timing.domainLookupStart - timing.fetchStart,
+ // Time spent unloading documents
+ unloadEventTime: timing.unloadEventEnd - timing.unloadEventStart,
+ // DNS query time
+ lookupDomainTime: timing.domainLookupEnd - timing.domainLookupStart,
+ // TCP connection time
+ connectTime: timing.connectEnd - timing.connectStart,
+ // Time spent during the request
+ requestTime: timing.responseEnd - timing.requestStart,
+ // Time to first byte for the request
+ timeToFirstByte: timing.responseStart - timing.requestStart,
+ // Request to completion of the DOM loading
+ initDomTreeTime: timing.domInteractive - timing.responseEnd,
+ // Load event time
+ loadEventTime: timing.loadEventEnd - timing.loadEventStart,
+ // Origin of the request
+ react: true,
+ //isIsomorphic flag
+ isIsomorphic: window.HR.isIsomorphic,
+ //old css loaded flag
+ loadedWithOldCss: window.HR.loadedWithOldCss,
+ // server timings
+ serverAPITime: window.HR.serverAPITime,
+ serverRenderTime: window.HR.serverRenderTime,
+ }
+
+ if (('navigation' in window.performance) && ('getEntries' in window.performance)) {
+ obj.navigationType = window.performance.navigation.type;
+ obj.navigationRedirectCount = window.performance.navigation.redirectCount;
+ if (obj.fullLoadTime > 8000) {
+ try {
+ var entries = window.performance.getEntries();
+ if(entries[0].toJSON){
+ obj.networkRequests = entries.map(function(e) {return e.toJSON();});
+ }
+ } catch (e) {
+ //do nothing
+ }
+ }
+ }
+
+ hr_metrics.app_track('page-load-metrics', obj);
+ }, 1000);
+ });
+ }
+
+
+ function findCookieValue(cookieName) {
+ var cookieString = document.cookie.split(';').find((a) => a.includes(cookieName)) || '';
+ return cookieString !== "" ? cookieString.split('=')[1] : "";
+ }
+
+ window.addEventListener('load', function() {
+ var _pathname = document.location.pathname;
+
+ hr_metrics.batch_track('PageLoad', _pathname + document.location.search, {
+ attribute1: _pathname,
+ // check if user is in dark mode or not
+ attribute2: findCookieValue('user_theme'),
+ });
+
+ if (hr_metrics.track_dwell_time) {
+ hr_metrics.track_dwell_time(_pathname);
+ hr_metrics.set_navigation_data();
+ }
+
+ window.addEventListener('beforeunload', function(){
+
+ var _pathname = document.location.pathname;
+ hr_metrics.batch_track('PageClose', _pathname + document.location.search, {
+ attribute2: _pathname
+ });
+
+ hr_metrics.track_dwell_time(_pathname, true);
+
+ hr_metrics.batch_track_record(true);
+ });
+
+ });
+
+</script>
+
+<!-- Facebook SDK -->
+<!-- Twitter SDK -->
+
+<!-- track button clicks -->
+<script>
+ document.addEventListener('click', (e) => {
+ const clickableElm = e.target.closest('a[data-analytics], button[data-analytics], input[data-analytics], select[data-analytics], i[data-analytics], div[data-analytics], span[data-analytics], h5[data-analytics]');
+
+ if (clickableElm) {
+ if (clickableElm.getAttribute('data-analytics')) {
+ action = 'Click'; data = clickableElm.getAttribute('data-analytics');
+ } else {
+ return;
+ }
+
+
+ hr_metrics.batch_track(action, data, (function() {
+ var params={};
+ for (var _i=1; _i<=12; ++_i){
+ var _attr = 'data-attr'+_i;
+ if (clickableElm.getAttribute(_attr)){
+ params['attribute'+_i] = clickableElm.getAttribute(_attr);
+ }
+ }
+ var attributes = clickableElm.attributes, attr_length = clickableElm.attributes.length;
+ for (var i = 0; i < attr_length; i++){
+ var attribute = attributes[i];
+ if (attribute.name.indexOf('data-attr-') === 0){
+ param_name = attribute.name.substr('data-attr-'.length);
+ if (param_name.length > 0) {
+ params[param_name] = attribute.value;
+ }
+ }
+ }
+ return params;
+ })());
+
+
+
+ }
+ });
+
+ </script>
+<!-- track button clicks end-->
+
+<!-- Linkedin Insights -->
+
+
+</body>
+</html>