{"trustable":true,"sections":[{"title":"","value":{"format":"HTML","content":"\u003cdiv class\u003d\"challenge_problem_statement\"\u003e\u003cdiv class\u003d\"msB challenge_problem_statement_body\"\u003e\u003cdiv class\u003d\"hackdown-content\"\u003e\u003cstyle id\u003d\"MathJax_SVG_styles\"\u003e.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%}\n.MathJax_SVG .MJX-monospace {font-family: monospace}\n.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}\n.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}\n.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}\n.mjx-svg-href {fill: blue; stroke: blue}\n\u003c/style\u003e\u003csvg style\u003d\"display: none;\"\u003e\u003cdefs id\u003d\"MathJax_SVG_glyphs\"\u003e\u003c/defs\u003e\u003c/svg\u003e\u003cp\u003eYou are given an array \u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-1-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"1.743ex\" height\u003d\"2.176ex\" style\u003d\"vertical-align: -0.338ex;\" viewBox\u003d\"0 -791.3 750.5 936.9\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e of \u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-2-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"2.064ex\" height\u003d\"2.176ex\" style\u003d\"vertical-align: -0.338ex;\" viewBox\u003d\"0 -791.3 888.5 936.9\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e integers. \u003cbr\u003e\nYou need to find the contiguous subarray of the maximum sum in \u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-3-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"1.743ex\" height\u003d\"2.176ex\" style\u003d\"vertical-align: -0.338ex;\" viewBox\u003d\"0 -791.3 750.5 936.9\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e. \nThe subarray should not contain the number \u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-4-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"1.162ex\" height\u003d\"2.176ex\" style\u003d\"vertical-align: -0.338ex;\" viewBox\u003d\"0 -791.3 500.5 936.9\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e.\nPlease find the maximum sum that is possible.\u003c/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eNote 1\u003c/strong\u003e: The subarray can also be empty. \u003cbr\u003e\n\u003cstrong\u003eNote 2\u003c/strong\u003e: The answer will fit in 32 bit-signed integer.\u003c/p\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv class\u003d\"challenge_input_format\"\u003e\u003cdiv class\u003d\"msB challenge_input_format_title\"\u003e\u003cp\u003e\u003cstrong\u003eInput Format\u003c/strong\u003e\u003c/p\u003e\u003c/div\u003e\u003cdiv class\u003d\"msB challenge_input_format_body\"\u003e\u003cdiv class\u003d\"hackdown-content\"\u003e\u003cstyle id\u003d\"MathJax_SVG_styles\"\u003e.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%}\n.MathJax_SVG .MJX-monospace {font-family: monospace}\n.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}\n.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}\n.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}\n.mjx-svg-href {fill: blue; stroke: blue}\n\u003c/style\u003e\u003csvg style\u003d\"display: none;\"\u003e\u003cdefs id\u003d\"MathJax_SVG_glyphs\"\u003e\u003c/defs\u003e\u003c/svg\u003e\u003cp\u003eThe first line contains the integer \u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-1-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"2.064ex\" height\u003d\"2.176ex\" style\u003d\"vertical-align: -0.338ex;\" viewBox\u003d\"0 -791.3 888.5 936.9\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e.\nThe next line contains \u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-2-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"2.064ex\" height\u003d\"2.176ex\" style\u003d\"vertical-align: -0.338ex;\" viewBox\u003d\"0 -791.3 888.5 936.9\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e integers representing the numbers in the array.\u003c/p\u003e\n\n\u003cp\u003e\u003cstrong\u003eConstraints\u003c/strong\u003e\u003c/p\u003e\n\n\u003cp\u003e\u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-3-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"12.802ex\" height\u003d\"2.843ex\" style\u003d\"vertical-align: -0.505ex;\" viewBox\u003d\"0 -1006.6 5512 1223.9\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003cg transform\u003d\"translate(778,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003cg transform\u003d\"translate(1834,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"M234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637Z\"\u003e\u003c/path\u003e\u003c/g\u003e\u003cg transform\u003d\"translate(3000,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003cg transform\u003d\"translate(4057,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\u003d\"translate(500,0)\"\u003e\u003c/path\u003e\u003cg transform\u003d\"translate(1001,393)\"\u003e\u003cpath stroke-width\u003d\"1\" transform\u003d\"scale(0.707)\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/g\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e \u003cbr\u003e\n\u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-4-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"17.306ex\" height\u003d\"3.009ex\" style\u003d\"vertical-align: -0.671ex;\" viewBox\u003d\"0 -1006.6 7451.2 1295.7\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"M84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250Z\"\u003e\u003c/path\u003e\u003cg transform\u003d\"translate(778,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\u003d\"translate(500,0)\"\u003e\u003c/path\u003e\u003cg transform\u003d\"translate(1001,393)\"\u003e\u003cpath stroke-width\u003d\"1\" transform\u003d\"scale(0.707)\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/g\u003e\u003cg transform\u003d\"translate(2511,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003cg transform\u003d\"translate(3567,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003cg transform\u003d\"translate(750,-150)\"\u003e\u003cpath stroke-width\u003d\"1\" transform\u003d\"scale(0.707)\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/g\u003e\u003cg transform\u003d\"translate(4940,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003cg transform\u003d\"translate(5996,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\u003d\"translate(500,0)\"\u003e\u003c/path\u003e\u003cg transform\u003d\"translate(1001,393)\"\u003e\u003cpath stroke-width\u003d\"1\" transform\u003d\"scale(0.707)\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/g\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e\u003c/p\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv class\u003d\"challenge_output_format\"\u003e\u003cdiv class\u003d\"msB challenge_output_format_title\"\u003e\u003cp\u003e\u003cstrong\u003eOutput Format\u003c/strong\u003e\u003c/p\u003e\u003c/div\u003e\u003cdiv class\u003d\"msB challenge_output_format_body\"\u003e\u003cdiv class\u003d\"hackdown-content\"\u003e\u003cstyle id\u003d\"MathJax_SVG_styles\"\u003e.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%}\n.MathJax_SVG .MJX-monospace {font-family: monospace}\n.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}\n.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}\n.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}\n.mjx-svg-href {fill: blue; stroke: blue}\n\u003c/style\u003e\u003csvg style\u003d\"display: none;\"\u003e\u003cdefs id\u003d\"MathJax_SVG_glyphs\"\u003e\u003c/defs\u003e\u003c/svg\u003e\u003cp\u003eOutput a single line representing the maximum sum that can be obtained. \u003c/p\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv\u003e\u003ctable class\u003d\"vjudge_sample\"\u003e\n\u003cthead\u003e\n \u003ctr\u003e\n \u003cth\u003eInput\u003c/th\u003e\n \u003cth\u003eOutput\u003c/th\u003e\n \u003c/tr\u003e\n\u003c/thead\u003e\n\u003ctbody\u003e\n \u003ctr\u003e\n \u003ctd\u003e\u003cpre\u003e5 \n3 4 0 1 2\n\u003c/pre\u003e\u003c/td\u003e\n \u003ctd\u003e\u003cpre\u003e7\u003c/pre\u003e\u003c/td\u003e\n \u003c/tr\u003e\n\u003c/tbody\u003e\n\u003c/table\u003e\n\u003c/div\u003e\u003cdiv class\u003d\"challenge_explanation\"\u003e\u003cdiv class\u003d\"msB challenge_explanation_title\"\u003e\u003cp\u003e\u003cstrong\u003eExplanation\u003c/strong\u003e\u003c/p\u003e\u003c/div\u003e\u003cdiv class\u003d\"msB challenge_explanation_body\"\u003e\u003cdiv class\u003d\"hackdown-content\"\u003e\u003cstyle id\u003d\"MathJax_SVG_styles\"\u003e.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%}\n.MathJax_SVG .MJX-monospace {font-family: monospace}\n.MathJax_SVG .MJX-sans-serif {font-family: sans-serif}\n.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}\n.MathJax_SVG * {transition: none; -webkit-transition: none; -moz-transition: none; -ms-transition: none; -o-transition: none}\n.mjx-svg-href {fill: blue; stroke: blue}\n\u003c/style\u003e\u003csvg style\u003d\"display: none;\"\u003e\u003cdefs id\u003d\"MathJax_SVG_glyphs\"\u003e\u003c/defs\u003e\u003c/svg\u003e\u003cp\u003eThe subarray with the maximum sum that \u003cem\u003edoesn\u0027t\u003c/em\u003e contain a \u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-1-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"1.162ex\" height\u003d\"2.176ex\" style\u003d\"vertical-align: -0.338ex;\" viewBox\u003d\"0 -791.3 500.5 936.9\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e is \u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-2-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"3.359ex\" height\u003d\"2.509ex\" style\u003d\"vertical-align: -0.671ex;\" viewBox\u003d\"0 -791.3 1446.2 1080.4\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003cg transform\u003d\"translate(500,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003cg transform\u003d\"translate(945,0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"M462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293Z\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e.\u003cbr\u003e\nHence, the sum is \u003cspan style\u003d\"font-size: 100%; display: inline-block;\" class\u003d\"MathJax_SVG\" id\u003d\"MathJax-Element-3-Frame\"\u003e\u003csvg xmlns:xlink\u003d\"http://www.w3.org/1999/xlink\" width\u003d\"1.162ex\" height\u003d\"2.176ex\" style\u003d\"vertical-align: -0.338ex;\" viewBox\u003d\"0 -791.3 500.5 936.9\" role\u003d\"img\" focusable\u003d\"false\"\u003e\u003cg stroke\u003d\"currentColor\" fill\u003d\"currentColor\" stroke-width\u003d\"0\" transform\u003d\"matrix(1 0 0 -1 0 0)\"\u003e\u003cpath stroke-width\u003d\"1\" d\u003d\"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\"\u003e\u003c/path\u003e\u003c/g\u003e\u003c/svg\u003e\u003c/span\u003e.\u003c/p\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e"}}]}