https://debug.deepundergroundpoetry.com/archive/but-what-they-didnt-show-you-about-beowulffootage-that-shocks-violence-beyond-imagination-54743222026-02-13T07:38:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussin-way-to-silence-even-the-noisy-crowd-35793092026-02-13T07:55:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussin-beyond-beliefthis-one-ingredient-changes-everything-79215402026-02-13T07:55:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-that-could-boost-your-income-overnightshocked-no-50268342026-02-13T07:59:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busy-his-fwbwould-her-trust-be-worth-the-risk-42580122026-02-13T09:13:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-what-happens-inside-the-gate-after-dark-29621022026-02-13T11:10:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-these-breast-milk-bags-are-secretly-changing-how-moms-save-milk-77943332026-02-18T04:50:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buste-d-you-wont-believe-what-she-did-when-she-opened-that-door-65409342026-02-18T04:55:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buste-dshock-this-little-detail-changes-everything-you-thought-you-knew-68281712026-02-18T04:55:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buste-dssecret-power-hidden-behind-closed-doorsyoure-not-ready-for-this-24116652026-02-18T04:55:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buste-dsuntold-story-thats-burning-brighter-than-the-truth-39877322026-02-18T04:55:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buste-dssaulting-emotions-this-moment-redefined-everything-75843592026-02-18T04:55:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-welch-reveals-the-one-truth-that-will-shock-you-37216782026-02-18T04:55:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-this-one-lip-remained-perfectunless-its-happening-to-you-53058042026-02-18T05:09:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-chevelle-ss-just-shocked-us-with-this-mad-coveryou-wont-believe-what-they-surrendered-6232262026-02-18T05:10:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-suits-faildinner-suits-are-the-secret-to-confident-evenings-98136572026-02-18T05:40:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-its-not-what-you-thinkabout-the-symbol-that-defies-equality-19963652026-02-18T05:43:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-this-mary-jane-candy-is-more-than-just-sweetscircle-the-red-73736822026-02-18T07:42:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-insiders-are-screaming-mustang-ecoboost-just-left-the-packheres-how-58095372026-02-18T07:59:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-this-legendary-raptor-r-is-worth-every-pennyeyes-glowing-like-fire-6041332026-02-18T08:45:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-precision-consider-the-maximum-possible-sum-of-two-largest-50--49--99-99170942026-02-18T08:49:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-what-lies-inside-this-scat-gold-hidden-away-forever-78030062026-02-18T09:02:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-what-happened-next-72566672026-02-18T09:28:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-giants-dream-of-a-world-without-smartphonesheres-the-shocking-plan-43636072026-02-18T09:39:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-owners-swearing-this-toy-titles-hilux-saved-their-fleetwait-until-you-hear-why-93929422026-02-18T09:53:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-what-happens-when-he-turns-every-street-into-a-walking-challenge-85274932026-02-18T10:07:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-insider-reactions-as-shocking-wk-bags-style-goes-viral-2991292026-02-18T10:23:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-this-simple-symbol-sparks-whole-national-crisis-2608472026-02-18T10:27:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-secrets-revealed-what-is-2busty2hide-and-why-you-cant-ignore-it-85364092026-04-20T16:12:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-actually--fracpi-r22sqrt3-r2--fracpi2sqrt3--so-a-is-correct-50042332026-04-20T16:42:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-original-list-no-such-so-revise-33345512026-04-20T16:42:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-best-choice-61529582026-04-20T16:42:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busted-the-hidden-actors-behind-sesame-streets-most-beloved-moments--8007272026-04-20T16:52:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-competition-context-interpret-as-drone-has-100-j-boulder-0--ratio-is-undefined-but-mathematically-use-limit-concept-21689852026-04-20T16:59:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-exact-value-ratio--100--0--not-defined-but-if-expressed-as-ratio-its-1000--simplified-as-10-from-drone-to-boulder-75590192026-04-20T16:59:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-exact-boxed-answer-use-1000--but-must-be-finite-38899202026-04-20T16:59:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-re-express-as-a-simplified-ratio-indicating-dominance-8155592026-04-20T16:59:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-11319702026-04-20T17:00:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-does-it-intersect-in-more-points-no--since-the-circle-lies-entirely-on-or-inside-the-ellipse-in--y--but-at--x0--both-are-1-2096872026-04-20T17:14:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-geometrically-ellipse--fracx2100--fracy264--1--has-semi-major-axis-10-x-semi-minor-8-y-21697522026-04-20T17:14:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-does-it-intersect-elsewhere-try--y0--ellipse--x--pm10--circle--x--pm8---no-intersection-40337852026-04-20T17:14:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-algebra-confirms-only-two-solutions-64143162026-04-20T17:14:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if--y---1---fracy1y-1--0--valid-however--x2--fracy1y-1-geq-0--requires-this-fraction-non-negative-which-it-is-45091162026-04-20T17:17:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-can--y--be-arbitrary-lets-solve-for--y--39933242026-04-20T17:17:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-he-only-found-10these-hidden-truths-will-shock-you-3550772026-04-20T17:23:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-here-the-equation--z2--22--0--has-roots-23823722026-04-20T17:53:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--x--2--for-log-to-be-defined-so--x--4--67892432026-04-20T18:06:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as--x-to-0---5000x-to-infty--as--x-to-infty----05x-to--infty--but--5000x-to-0--so--px-to--infty--thats-impossible-10065732026-02-23T03:48:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given--cx--5000--120x---05x2--this-implies-fixed-startup-cost-5000-linear-marginal-cost-120-but-reduced-fixed-cost-at-higher-volume--unusual-51543722026-04-20T18:20:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-assuming-the-function-is-correct-as-stated-and-the-goal-is-to-minimize--px--frac5000x--120---05x--set-12086952026-04-20T18:20:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-business-models-average-cost--cxx--5000x--120---05x--has-a-minimum-when-derivative-is-zero-42151522026-04-20T18:20:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-math-olympiad-precision-use-exact-calculation-48448032026-04-20T18:26:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-since-exponential-integrate-98447012026-04-20T18:26:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-this-the-maximum-yes-35378852026-04-20T18:42:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-simplicity-in-format-72697722026-04-20T18:44:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-compact-10771082026-04-20T18:44:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-13634202026-04-20T18:44:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-because-we-have-repeated-letters-and-exact-counts-we-use-a-recursive-or-combinatorial-placement-strategy-with-the-principle-of-arrangements-with-no-adjacent-duplicates-for-multiset-permutations-637482026-04-20T18:46:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-heres-a-better-and-feasible-approach-85047952026-04-20T18:46:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-lets-use-generating-functions-with-exclusion-or-a-reduced-method-84878212026-04-20T18:46:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-and-g-are-different-so-a-and-g-can-be-adjacent-96506682026-04-20T18:46:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-after-careful-consideration-a-more-tractable-and-correct-method-is-83391982026-04-20T18:47:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-again-too-complex-43025812026-04-20T18:47:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-after-extensive-analysis-the-correct-and-most-efficient-known-method-for-such-problems-is-recursive-backtracking-with-memoization-but-we-must-give-a-closed-form-answer-75472572026-04-20T18:47:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-noted-placing-3-gs-in-5-positions-with-no-two-adjacent-is-only-possible-if-they-are-in-positions-with-gaps-40160002026-04-20T18:47:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-its-only-possible-if-the-5-positions-allow-a-3-element-non-adjacent-subset--which-requires-that-the-positions-span-at-least-5-positions-eg-135-and-in-any-5-consecutive-positions-there-is-exactly-one-such-set-not-quite--for-positions-12345-non-adjacent-triples-135-only-but-145-has-adjacent-245-has-adjacent-yes-only-135-if-starting-at-1-but-depending-on-layout-67020792026-04-20T18:47:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-the-most-logical-interpretation-the-colony-must-have-stored-energy-equal-to-9-requirements-but-since-generation-is-available-but-the-surplus-is-generated-not-imported-43555112026-04-20T18:56:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-colony-terms-imported-might-mean-extracted-from-external-sources--but-mars-is-the-colony-22630332026-04-20T18:56:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-imported-suggests-bringing-in--so-unless-they-have-reserves-but-the-system-generates-so-reserves-charge-20019412026-04-20T18:56:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-imported-is-standard-term-for-external-supply-though-mars-likely-has-no-external-supply-4662862026-04-20T18:56:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-math-compute-the-deficit-2304-kwh-deficit-in-production-so-must-import-2304-kwh-to-cover-72344872026-04-20T18:56:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--x-36380902026-04-20T19:00:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-use-algebra-28441962026-04-20T19:00:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-3416--280-yes--3416--280--yes-increase-37406072026-04-20T19:42:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--p--is-large-negative-denominator--p---frac4073-rightarrow-p3---frac6743264327--so---4p3---4-cdot--frac6743264327--frac26973037227-approx-9996788--10247262026-04-20T19:49:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-45-is-target-and-no-integer-n-gives-18n--45--so-45-is-unreachable-in-18-steps-68460172026-04-20T20:12:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-18n--90--n--5--90--multiple-of-90--invalid-67106862026-04-20T20:12:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-90k--45-divisible-by-18-89500022026-04-20T20:12:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-45-is-not-divisible-by-18-so-can-the-robotic-arm-reach-45-only-if-18n--45--n--25--not-integer--impossible-40462632026-04-20T20:12:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-135-is-divisible-by-45--candidates-45-135-225-315-405-495-585-675-90222172026-04-20T20:12:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-13-of-16-is-163--5333-then-40-of-that-04--163--25163--3215--2133--worse-22985872026-04-20T20:13:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-40-of-4-is-16--not-integer-74073252026-04-20T20:13:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-problems-sometimes-fractional-results-are-accepted-however-for-realism-perhaps-the-numbers-should-yield-integer-lets-use-60-claims-13067222026-04-20T20:13:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-40-is-25-and-4--25--85--16--not-integer-45372152026-04-20T20:13:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--4-13--and-since-group-is-cyclic-primitive-roots--actually-the-solutions-are--x-equiv-g0-g4-g8-g12--where--g--is-a-primitive-root-but-easier-since--44--256-equiv-1---132--169-equiv-16-equiv--1--so--134---12--1--so-yes--4-13--are-solutions-77173082026-02-23T07:34:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-another-try--x--2---24--16-72088112026-04-20T20:38:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--x--6---62--36-equiv-2---64--4-52358972026-04-20T20:38:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-x-to-0-fx-to-infty-so-no-maximum-74356402026-04-20T20:48:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-why-the-brown-blazer-is-the-ultimate-statement-piece-20926042026-04-20T21:03:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-n--9-9-cdot-11-cdot-13-cdot-15--19305--33-cdot-5-cdot-11-cdot-13--divisible-by-27-18144652026-04-20T21:08:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-n--15-15-cdot-17-cdot-19-cdot-21--3-cdot-5-cdot-17-cdot-3-cdot-7-cdot-3-cdot-7--33-cdot-5-cdot-72-cdot-17--divisible-by-27-64943202026-04-20T21:08:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-that-multiple-divisible-by-9-not-always--eg-n--3-3-div-by-3-but-not-9-n--9-9-div-by-9-n--15-15-not-div-by-9-so-only-guaranteed-31-32758172026-04-20T21:08:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-consider-modulo-9-the-multiple-of-3-in-the-four-may-be-3-mod-9-or-6-mod-9-but-not-0-or-9-only-when-3k-where-k-divisible-by-3-so-not-guaranteed-82285962026-04-20T21:08:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-logic-in-any-four-consecutive-odd-integers-one-is-divisible-by-3--yes-because-the-step-is-2-and-modulo-3-the-odd-residues-are-1-and-2-and-over-four-terms-positions-mod-3-cycle-every-3-steps-but-span-8-steps-total-the-sequence-of-odd-integers-mod-3-starts-at-n-mod-3-then-n2-n4-equiv-n1-n6-equiv-n-so-cycle-n-n2-equiv-n2-n1-n-so-values-a-a2-a1-a-mod-3-so-set-a-a1-a2--all-residues-mod-3-so-one-is-divisible-by-3-84466082026-04-20T21:08:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-it-divisible-by-3-always--yes-58849932026-04-20T21:08:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-consider-could-there-be-a-composite-guaranteed-divisor-like-21-no-since-5-and-7-not-guaranteed-88142182026-04-20T21:08:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-3-is-guaranteed-however-note-that-among-four-consecutive-odd-integers-47398122026-04-20T21:08:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-casual-shoes-your-boss-wont-believe-are-yourssimple-classy-and-never-fail-11024512026-04-20T21:17:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-petite-fashion-you-cant-ignore--stylish--confident-61729102026-04-20T21:17:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-petite-hacks-look-bigger-with-style-proven-tricks-62061082026-04-20T21:17:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-bloom-unleashed-this-stunning-movement-will-blow-your-socks-off-23463602026-04-20T21:17:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-bloom-shocked-the-worldwatch-how-this-sculpted-beauty-turns-heads-61818582026-04-20T21:17:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-bloom-the-secret-weapon-for-maximum-confidence--curvesdont-miss-this-32652142026-04-20T21:17:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-formal-the-secret-formula-to-instant-confidence-and-career-growth--2024-edition-4786532026-04-20T21:17:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-blonde-secrets-the-dirty-truth-behind-their-unmatched-charm-and-statuesque-figure-74832552026-04-20T21:17:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-blonde-fever-uncover-the-hottest-trends-and-science-behind-their-irresistible-allure-63171482026-04-20T21:17:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-babes-revealed-the-ultimate-guide-to-confident-curvy-style-13350252026-04-20T21:17:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busy-board-secrets-why-you-need-this-ultimate-activity-hub-for-toddlers-35292602026-04-20T21:17:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-ema-frequency-that-shocked-fitness-guruswatch-and-learn-instantly-30575632026-04-20T21:17:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busy-toddler-gift-guide-top-10-must-haves-for-the-most-active-kids-85032752026-04-20T21:17:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-milfe-securement-why-this-cookout-is-taking-every-man-by-storm-30484112026-04-20T21:17:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-milfe-unleashed-the-shocking-trends-that-are-driving-audience-obsession-28791532026-04-20T21:17:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-milfe-magic-what-science-reveals-about-this-bombshell-phenomenon-72354062026-04-20T21:17:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-latinas-are-lighting-up-social-feeds--see-the-confident-bold-style-now-10876882026-04-20T21:17:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-teens-you-wont-believe-these-glamorous-teen-influencers-are-making-94005942026-02-23T08:45:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-express-multiplier-per-hour-er--e06931--exp0693122-85957552026-04-20T21:29:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-the-substitution-m-n--506-and-506-is-even-but-not-divisible-by-higher-powers--all-its-factor-pairs-consist-of-one-even-and-one-odd-no-90374722026-04-20T21:39:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-among-these-we-do-not-require-m-n-even--in-fact-many-are-odd-but-we-already-established-that-a--2m-b--2n-so-both-are-even-regardless-86808652026-04-20T21:39:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-each-such-mn-gives-59657262026-04-20T21:39:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-each-mn-is-distinct-so-16-solutions-18695242026-04-20T21:39:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-each-pair-mn-with-mn--506-gives-a-unique-xy-2621102026-04-20T21:39:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-interpreted-as-the-long-term-behavior-the-function-behaves-like--3t---1--so-the-horizontal-asymptote-does-not-exist-however-in-some-contexts-horizontal-asymptote-is-misused-44186482026-04-20T21:55:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-this-cheer-clipart-will-take-your-posts-from-blah-to-awesome--see-why-97257972026-04-20T22:22:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-the-identity-4970812026-04-20T22:30:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--z--w2--4--2i2--16--4--20-16339362026-04-20T22:30:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-shown-this-leads-to-inconsistency-with--z--w2--20--and--z2--w-88244542026-04-20T22:30:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-sin2-x-cos2-x--rac14-sin2-2x-so-14499122026-04-20T22:54:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-use-identity-24192582026-04-20T22:54:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-domain-0--x--pi2-sin-2x--0-is-not-attained-but-approaches-0-so-rac4sin2-2x-o-infty-so-expression-tends-to-infinity-82387622026-04-20T22:54:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-small-x-say-x--01-sin-2x-pprox-01987-rac4t2-pprox-1013-so-f-pprox-1--01987--1013-pprox-1024--6-23667402026-04-20T22:54:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-last-rest-day-is-before-completing-18-days--check-days-14-active-day-5-rest--cycle-of-5-days-gives-4-km-23300762026-04-20T23:11:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-18-days-active-is-more-than-needed--refine-81340262026-04-20T23:11:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-must-be-whole--likely-mistake-in-assumption-719202026-04-20T23:11:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-compute-exactly-90166902026-04-20T23:11:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-check-if-75--04--30-is-correct--yes-37999882026-04-20T23:11:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-such-contexts-the-problem-likely-expects-1125-unlikely-10637752026-04-20T23:11:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-math-problem-we-compute-mathematically-89372992026-04-20T23:11:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-must-be-integer--contradiction-50997412026-04-20T23:11:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-final-answer-boxed-14434482026-04-20T23:11:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-spirit-perhaps-typo--but-proceed-mathematically-6862672026-04-20T23:11:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-simple-arithmetic-no-fractions-in-final-28773022026-04-20T23:11:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-9--1-mod-8-so-perhaps-only-solutions--1-mod-8-14610482026-04-20T23:14:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-this-comfy-reading-chair-has-nailed-the-ultimate-relaxation-experience-28788902026-04-20T23:19:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-i-must-be-an-integer-and-9sqrt3-approx-9-cdot-1732--15588-so-i-approx-15588---8--7588-not-an-integer-contradictionso-our-assumption-about-lattice-structure-must-be-reconsidered-5655282026-04-20T23:35:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-double-check-by-checking-smaller-common-differences-57971672026-04-20T23:38:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-olympiad-style-perhaps-the-intended-setup-was-different-lets-reframe-suppose-the-number-is-three-less-than-a-multiple-of-7-and-8-but-not-necessarily-9-but-question-says-of-789-33871702026-04-20T23:38:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-504-is-large-so-no-two-digit-number-satisfies--x-equiv--3-pmod504--8008642026-04-20T23:38:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-olympiad-creativity-perhaps-the-intended-setup-was-60805482026-04-20T23:38:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-original-had-and-only-for-78--but-says-789-18738452026-04-20T23:39:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lensing-strength-increases-with-mass-so-distant-cluster-has-half-the-lensing-mass-but-question-asks-for-ratio-of-distant-to-nearby-05--12-11904322026-04-21T00:18:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-08--16-so-if-distance-is-same-mass-ratio--08--16--05-but-that-would-imply-less-mass-contradicting-stronger-lensing-93314782026-04-21T00:18:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-08-is-less-than-16-so-if-distance-is-same-then-mass-must-be-less-but-gravitational-lensing-creates-larger-arcs-for-more-massive-clusters-25365122026-04-21T00:18:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-08--16-so-mass-must-be-smaller--contradiction-9344422026-04-21T00:18:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-08--16--so-mass-must-be-less--but-lensing-is-weaker-so-smaller-separation-makes-sense--weaker-lensing-24935712026-04-21T00:18:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-theyre-so-more-than-jeanscheck-out-these-hard-hitting-denim-flares-for-women-17543422026-04-21T00:41:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-data-shows-32-28-36-30-34--if-these-include-the-12-common-species-then-total-distinct--sum-of-all-unique-local-species-minus-overlaps-however-the-phrasing-12-species-common-across-all-suggests-they-are-included-in-each-count-so-total-distinct--3212--2812--3612--3012--3412--12--20--16--24--18--22--12--201624182212112112-57631702026-04-21T00:52:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-function-were--ct--10t2-1--and-rate-is--1-then-52220772026-02-23T13:46:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--ct--25--at--t--2--not-25-76974682026-04-21T01:08:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-function-were--ct--10---2t--linear--then-rate---2-not-helpful-7736772026-04-21T01:08:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-the-function--ftheta--is-of-the-form--sin-atheta--cos-btheta--the-number-of-solutions-to--ftheta--1--over-a-long-interval-can-be-approximated-by-analyzing-how-many-times-the-envelope-allows-crossings-33981892026-04-21T01:13:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-we-thought-only-bcd-no--a-is-also-connected-via-ab-62782692026-04-21T02:00:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-this-configuration-the-three-close-pairs-are-ab-bc-and-cd-no--we-have-only-ab-bc-and-de--not-cd-so-trio-abc-has-ab-and-bc--two-close-pairs--valid-74558282026-04-21T02:00:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-another-is-the-edge-set-symmetric-4454432026-04-21T02:00:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-15600--093--167741935--contradiction-recheck-19901002026-04-21T02:01:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-we-accept-the-exact-division-16035012026-04-21T02:01:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-15600--093--15600--100--93--1560000--93-60676862026-04-21T02:01:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-realism-we-accept-the-mathematical-result-30541782026-04-21T02:01:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-compute-numerically-83316542026-04-21T02:01:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-format-previous-examples-use-integers-or-decimals-20211132026-04-21T02:01:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-well-write-69024732026-04-21T02:01:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-problems-we-often-keep-as-fraction-or-decimal-29509582026-04-21T02:01:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-use-more-precision-80934522026-04-21T02:01:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-initial-examples-answers-are-exact-40670662026-04-21T02:01:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-area-try--x--09---20---1815---18--182-times-132--24024-approx-240--75095272026-04-21T02:02:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check--20---1807615---18076--181924-times-131924-approx-2400--14328152026-04-21T02:02:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-solve-73868892026-04-21T02:02:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-maybe-exact-but-solution-format-says-final-answer-boxed-91253112026-04-21T02:02:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-leave-exact-expression-no--consistent-with-prior-47754772026-04-21T02:02:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-practicality-and-since-09-gives-close-but-lets-accept-calculation-16066362026-04-21T02:02:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-quadratic-discriminant-78168472026-04-21T02:02:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--u--must-be-a-real-number-consistent-with-the-model-and-since--frac443--is-not-an-integer-recheck-if-the-problem-assumes-integer-counts-however-the-question-only-asks-for-the-value-of--u--satisfying-the-average-condition-so-21805952026-04-22T06:03:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-the-context-if--u--67690772026-04-21T02:07:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-compute--169--225--394---2-cdot-13-cdot-15--390---390-cdot-05--195--so--394---195--199--45149492026-04-21T02:19:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-class-comfort-at-half-the-price-the-fabric-sofa-you-didnt-know-you-needed-44660052026-04-21T02:23:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-distinct-combinations-of-eruption-profiles-where-profile-means-the-multiset-of-intensities-regardless-of-volcano-identity-would-be-differentyet-the-context-implies-monitoring-individual-volcanoes-so-a-profile-includes-which-volcano-has-which-level-but-since-the-question-says-combinations-observed-with-vertices-monitored-distinguishable-and-no-specification-of-symmetry-breaking-standard-interpretation-in-such-combinatorics-problems-is-that-labeled-objects-are-distinguished-9115962026-04-21T02:31:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-consider-if-all-volcanoes-were-identical-and-expressions-were-symmetric-wed-count-partitions-however-here-the-the-volcanoes-are-not-indistinctthey-are-specific-geological-sites-hence-the-total-number-of-eruption-profiles-is-the-number-of-functions-from-the-4-volcanoes-to-3-levels-34--81-7208892026-04-21T02:31:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-clickbait-and-seo-suggest-revealing-a-big-number-also-distinct-combinations-might-mean-ordered-assignments-63224242026-04-21T02:31:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-distinct-combinations-likely-refers-to-distinct-possibles--ie-the-number-of-possible-multisets-79141032026-04-21T02:31:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-eigenvalues-intensities-are-reported-per-volcano-and-we-care-about-the-full-assignment-then-34--81-is-correct-23727302026-04-21T02:31:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-301-is-same-as-013-21451112026-04-21T02:32:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-simplicity-and-clarity-in-competition-setting-and-since-no-cleaner-algebraic-form-exists-we-conclude-32678312026-04-21T02:44:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-78--2--39-39--2--195--not-integer-however-78--2-mod-4--so-exact-fraction-195-not-valid-88032772026-04-21T03:42:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-78-is-not-divisible-by-4--error-7300762026-04-21T03:42:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-78--14--195--impossible-15025252026-04-21T03:42:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-such-problems-we-assume-exact-values-so-perhaps-the-fraction-is-symbolic-32557832026-04-21T03:42:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-number-present--78--195--585--invalid-88857732026-04-21T03:42:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-78--3--4--234--4--117--2--585--not-integer-11071912026-04-21T03:42:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-585-is-not-integer-70401862026-04-21T03:42:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-78--34--585--same-39428802026-04-21T03:42:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-075--34-and-78-not-divisible-by-4--so-impossible-758522026-04-21T03:42:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-likely-a-typo-or-i-need-to-proceed-with-exact-fraction-77891812026-04-21T03:42:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-all-previous-examples-use-integers-71521062026-04-21T03:42:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-problems-sometimes-they-use-values-that-work-35892232026-04-21T03:42:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-78-divided-by-4-is-195--so-19-or-20-43393202026-04-21T03:42:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-585--not-possible-26022832026-04-21T03:42:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-equation-1-states-3v2--v3---4-this-inconsistency-implies-no-solution-exists-unless-mathbfd-is-orthogonal-to-mathbfc-check-mathbfd-cdot-mathbfc---42--5-1--13---8--5-3---10-25343702026-02-23T17:25:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-this-godzilla-ps4-update-changed-everythingwatch-what-made-gamers-lose-their-minds-185012026-04-21T04:28:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-144256--05625-and-916--05625-correct-86632902026-04-21T05:10:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--frac144256--frac916--144-div-16--9-256-div-16--16-but-16-times-16--256-16-times-9--144-yes-but--frac144256--frac144-div-16256-div-16--frac916--correct-96055112026-04-21T05:10:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--frac916--is-greater-than-05-but-is-it-reasonable-lets-compute-total-number-of-distinct-patterns-5094232026-04-21T05:10:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-i-said--frac144256--frac916--but--frac916--05625--and-144256--05625-correct-44427042026-04-21T05:10:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-compute-gcd144256-95385832026-04-21T05:10:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-mistake-in-the-scenario-the-problem-says-exactly-two-of-the-chosen-options-are-the-same--this-might-be-interpreted-as-at-least-two-are-the-same-but-the-phrasing-exactly-two-suggests-exactly-one-pair-and-the-rest-different--which-is-standard-85947282026-04-21T05:10:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-it-meant-exactly-one-word-appears-twice--thats-what-we-did-84177042026-04-21T05:10:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-test-with-smaller-case-to-verify-logic-67313882026-04-21T05:10:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--frac144256--frac5496--frac2748--frac916---yes-9522112026-04-21T05:10:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-i-thought-it-might-be-too-high-but-mathematically-correct-46620242026-04-21T05:10:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-smaller--n---n4--10252--95--yes-first-time-after-4-weeks-76597212026-04-21T05:34:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-after-4-weeks-is-ambiguous-90893602026-04-21T05:34:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-at--t-44796452026-04-21T05:34:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--theta--0--appears-in-both-cases-so-we-list-all-distinct-solutions-52632302026-04-21T05:46:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--4---sqrt13--0--since--sqrt13--4--so-yes-36012382026-04-21T05:46:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-order-refers-only-to-the-application-of-the-operation-ie-2-positions-are-distinct-for-pumping-the-count-is--binom74-cdot-binom42-cdot-frac42--35-cdot-6-cdot-12--2520--clarifying-the-problems-intent-the-most-plausible-interpretation-leads-to-boxed2520-36345542026-04-21T06:01:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--48471892026-04-21T06:05:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-z--c-sinphi-cosphi--c-sinphi-sqrt1---sin2phi-38127142026-04-21T06:05:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-r--racsqrtx2--y21-so-18245662026-04-21T06:05:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-r2--z2--x2--y2--z2-and-r--sqrtx2--y2-so-12983962026-04-21T06:05:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-reverse-engineer-when-does-halving-reach-1-55538392026-04-21T07:02:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-2--32768-2--65536-97745382026-04-21T07:02:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-practice-we-split-until-each-group-is-1--so-must-go-until-size-1-so-13119352026-04-21T07:02:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-discrete-halving-we-stop-when-size-1-but-the-question-says-until-each-subset-has-1-entry--so-we-must-reach-exactly-1-but-64000-is-not-a-power-of-2-so-impossibility-52843222026-04-21T07:02:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-a-typo--or-accept-non-integer-22842292026-04-21T07:02:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-64000-is-not--so-either-error-or-compute-until-size-1-or-less-but-not-exact-70815902026-04-21T07:02:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-following-strict-math-number-of-times-a-number-can-be-divided-by-2-until-1-is-floorlogn--1-no--standard-number-of-full-divisions-to-reach-1-is-floorlogn-if-we-count-how-many-halvings-reach-1-but-only-if-n-is-power-of-2-99081752026-04-21T07:02:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-190--3--63-13--but-fractional-words-not-possible-55285752026-04-21T07:12:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-total-720-she-translates-86114282026-04-21T07:12:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-research-context-average-64569002026-04-21T07:12:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-should-be-exact-1903--63333--but-boxed-as-fraction-55282552026-04-21T07:12:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-equal-to-small-triangle--no-this-is-arithmetic-38197172026-04-21T07:12:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-at-120hr-50--170hr--third-hour-170-words-46773752026-04-21T07:12:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-50-more-than-second-hour-is-given-as-fixed-120--50--170-words-in-third-hour-80376432026-04-21T07:12:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-50-more-than-second-hour-second-hour-at-120-120--50--170--80--inconsistent-23602762026-04-21T07:12:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-50-more-than-in-the-second--this-is-absolute-not-relative-2896942026-04-21T07:12:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-720--6--120--fixed-4196982026-04-21T07:12:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-intended--n14--with--s14224--not-210-52255732026-04-21T07:16:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-the-problem-set-likely-a-typo-in-210-86422392026-04-21T07:16:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-small-n8-k3-we-use-a-constructive-method-98587162026-04-21T07:32:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-each-selection-is-counted-3-times-once-for-each-selected-station-so-total-valid-sets-71038902026-04-21T07:32:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-its-simpler-to-minimize-directly-14451672026-04-21T07:51:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-practice-local-time-difference-is-always-8-hours-when-synchronized-the-range-of-possible-local-times-is-8-hours-so-max-difference-is-8-hours--480-minutes-41948982026-04-21T08:01:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-more-efficient-method-consider-the-relative-order-of-the-rs-and-ls-only-90219892026-04-21T08:14:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--k-geq-m1--and--m-geq-2---k-leq-5--92775812026-04-21T08:15:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-that-correct-lets-analyze-57305652026-04-21T08:17:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-synthetic-evaluation-said-3omega--4-lets-recompute-the-expression-27052842026-04-21T08:20:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-verify-with-another-point-or-use-polynomial-identity-50073772026-04-21T08:20:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-simplify-500-data-pointshour--10000--500--20-hours-9586672026-04-21T08:36:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-exactness-use-binomial-if-daily-crash-rate-is-2-then-over-3-days---6-47638002026-04-21T08:36:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-simplicity-use-exact-value-15109272026-04-21T08:36:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-276-mod-24--12-so-instead-compute-88554222026-04-21T10:40:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-2354-is-within-same-day-cycle-no--after-11-full-days-time-advances-by-12-hours-31341402026-04-21T10:40:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-276-mod-24--12-so-12-hours-after-1154-is-2354-48893792026-04-21T10:40:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-729-is-each-individual-bottle-no-88020642026-04-21T11:40:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-3645--729--not-possible-62756232026-04-21T11:40:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-again-sum-diverges-97663852026-04-21T11:40:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-3645--729-so-only-one-bottle-fits-62181212026-04-21T11:40:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-729-is-the-capacity-not-how-much-is-stored-71334762026-04-21T11:40:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-c-unknown-62334262026-04-21T11:40:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-sin2phi--1---cos2phi--1---leftracz-77382262026-04-21T11:44:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-if-1-register--20-digits--200-bits--25-bytes-then-10-registers--10--25--1025250250-bytes-47335242026-04-21T11:49:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-1-digit--4-bits--05-bytes-then-20-digits--10-bytes-per-register--100-bytes-99740382026-04-21T11:49:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-difference-is-not-asked-rethink-68407772026-04-21T11:49:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-eniac-10--25--25-9782582026-04-21T11:49:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-use-precise-logic-92947202026-04-21T11:49:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-eniac-system-used-20-digit-precision-per-register--assume-each-digit-is-4-bits--1-byte-per-4-bits--4-bits--1-digit--so-1-byte-for-1-digit-88185552026-04-21T11:49:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-eniac-occupies-200-bytes-84451322026-04-21T11:49:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-step-said-improved-to-16-binary-registers-2-bytes-each--so-32-58880932026-04-21T11:50:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-eniac-25-30758582026-04-21T11:50:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-match-format--likely-intended-93884232026-04-21T11:50:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-binary-registers-2-bytes-each-suggests-16--2--32--contradiction-47295652026-04-21T11:50:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-ella-worked-30-less-than-armand--x--07--x--07--correct-71544992026-04-21T11:56:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-e--07a--consistent-79306882026-04-21T11:56:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a--e--07--107e-39169522026-04-21T11:56:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--a-57277922026-04-21T12:17:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--a2---b2--a---ba--b--and--a2--b2--a--b2---2ab--instead-observe--s--rac2a2--b2a2---b2--let--a--1---b--i--79620982026-04-21T12:17:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-steps-suggest--s--rac2a2--b2a2---b2--for--a--b--1---a2-overlinea2--1--so--a2--rac1overlinea2--this-path-is-complex-instead-let--a--1---b---1---s--rac02--rac20--invalid-correct-approach-let--a--eiheta---b--eiphi--then-27090342026-02-24T01:58:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-earlier-general-form--s--rac2a2--b2a2---b2--and--a--b--1--let--a2--z---b2--overlinez--since--b2--1--but--b--is-arbitrary-alternatively-note--a2---b2--a---ba--b--and--a2--b2--a--b2---2ab--this-seems-stuck-instead-observe-that--s--rac2a2--b2a2---b2--let--a--1---b--i---s--0--let--a--1---b--eipi2--i--same-let--a--1---b---i--same-but-try--a--1---b--i---s--0--let--a--2--but--a--1--no-thus--s--can-vary-but-the-answer-is-likely--s--0--based-on--a--1---b--i--alternatively-the-expression-simplifies-to--s--rac2a2--b2a2---b2--however-for--a--b--1---a2-overlinea2--1-rightarrow-a2--rac1overlinea2--but-this-doesnt-directly-help-given--a-3492522026-02-24T01:58:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-use-the-standard-combinatorial-method-38078842026-04-21T12:40:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-calculation-with-recurrence-gave-a5--13-yes-20387342026-04-21T12:41:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-verify-with-inclusion-25080642026-04-21T12:41:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-gear-ratio-yes-if-minute-gear-rotates-720-times-in-24-hours-speed--30-rotationshour-85734912026-04-21T12:49:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-mechanical-watch-minute-gear-should-make-1-rotation-per-hour--contradiction-76906672026-04-21T12:49:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-real-minute-hand-turns-once-per-hour--so-this-gear-has-30-times-the-teeth-ratio-no--speed-ratio--teethratio-inversely-4771042026-04-21T12:49:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-real-minute-hand-is-1-rotation-per-hour--so-this-gear-has-30-times-faster-speed-perhaps-due-to-a-linkage-22456302026-04-21T12:49:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-also--rmin--rhour--30--rhour-70431972026-04-21T12:49:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-g-unknown-18785982026-04-21T12:53:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-problems-sometimes-assume-initial-rate-is-equal-to-sensitivity-product-and-baseline-or-assume-linear-acceleration-from-zero-18066752026-04-21T12:53:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-accuracy-cannot-exceed-100-25918702026-04-21T12:53:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-compute-exactly-46210452026-04-21T12:54:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-it-niketown-sohos-secret-shops-that-every-trendsetter-swears-by-36102502026-04-21T13:46:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-case-1-gave-24--total-valid-24--48--72-95024062026-04-21T13:52:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1001-is-a-four-digit-number-the-condition-specifies-a-three-digit-number-and-no-three-digit-number-divisible-by-all-three-exists-however-reconsider-the-smallest-three-digit-number-divisible-by--7-imes-11-imes-13--1001--is-impossible-68166052026-04-21T14:42:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-intended-meaning-is-divisible-by-each-individually-then-the-lcm-is-still-1001-93693232026-04-21T14:42:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-the-context-of-a-cycles-study-likely-the-intended-answer-is-the-lcm-but-since-its-four-digits-we-must-conclude-no-such-number-1145762026-04-21T14:42:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiad-style-perhaps-we-find-the-smallest-three-digit-number-divisible-by-at-least-one-but-thats-not-and-62640252026-04-21T14:43:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-educational-context-perhaps-they-meant-divisible-by-7-and-11-or-13but-not-and-both-44504852026-04-21T14:43:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-spirit-we-compute-1945512026-04-21T14:43:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-verify-all-values-825812026-04-21T14:46:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-olympiad-exact-form-often-preferred-44805082026-04-21T14:55:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-area-504-may-not-yield-integer-82480782026-04-21T14:55:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-exactness-keep-as-89272372026-04-21T14:55:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-its-solvable-exactly-27872812026-04-21T14:55:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-the-problem-has-a-typo-but-we-proceed-55430252026-04-21T14:55:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-we-saw--fx--1---rac12cos-2x---cos-4x--lets-test--x--racpi2--68656482026-04-21T14:57:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-algebra-93166582026-04-21T14:58:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-we-said--fx--1---rac12cos-2x---cos-4x--when--cos-2x---1---cos-4x--1--so---1---1---2--multiplied-by---rac12--gives--1--so--1--1--2--yes-79732962026-02-24T04:46:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-according-to-formula--fleftracpi4-45853762026-04-21T14:58:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-how-easy-this-penguin-drawing-can-be-79649422026-04-21T15:13:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a--d--7-from-1-and-a--d--5-from-2-is-a-contradiction-recheck-the-second-term-is-a--d--5-and-first--third-is-a--a--2d--2a--2d--14--a--d--7-82185012026-04-21T15:16:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a--d--5-and-a--d--7-is-impossible-therefore-no-such-sequence-exists-unless-the-problem-is-misinterpreted-35127692026-04-21T15:16:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-many-contexts-such-an-equation-represents-a-quadric-surface--specifically-an-ellipsoid-42003402026-04-24T12:41:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-first-heres-a-strong-seo-friendly-headline-89162502026-04-21T16:12:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-heres-a-5th-that-maintains-the-clickbait-edge-74184472026-04-21T16:41:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-function-likely-gives-annual-value-interpret-as-ft--expected-number-in-year-t-16742912026-04-21T16:43:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-quadratic--14x2--42x--27--0--product-of-roots--frac2714--sum---3--74809282026-04-21T16:47:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-symmetric-ap-if--d--0---a---3d--could-be-negative-to-make-sense-assume--a--large-but-both-signs-give-negative--so-only-one-is-positive-try-numerically--sqrt7-approx-26458--then--a---3d-approx-a---529---a--3d-approx-a--797---a--d-approx-a--26458--for-first-term-positive--a--529--third-term-positive-then--fraca--da---3d-72482602026-04-21T16:47:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but---frac103---3--so-valid-87935082026-04-21T17:17:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but---4---3--not-in-interval--discard-97453452026-04-21T17:17:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-costheta--sqrt3-has-no-real-solution-since-costheta-leq-1-this-suggests-an-error-in-assumptionwe-must-re-evaluate-the-expression-wait-correction-in-identity-use-actually-38085122026-04-21T17:17:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-its-sqrt3-and-since-maximum-of-costheta-is-1-no-solution-therefore-perhaps-the-equation-is-misstated-alternatively-suppose-symmetry-use-sum-again-57021842026-04-21T17:17:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--18--27-cdot-frac23--so-no-simplification-8849742026-04-21T17:41:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--2sqrt30-approx-1095--so-distance-slid-down-63163842026-04-21T17:42:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-compute-exactly-82085142026-04-21T17:42:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-230-is-exact-58876472026-04-21T17:42:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is--sqrt120--2sqrt30--yes-26716092026-04-21T17:42:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--2sqrt30--is-simplified-61175432026-04-21T17:42:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-2-papers--3-co-authors--6-roles-mentor-appears-in-all-so-minimum-1--6--7-but-possibility-of-overlap-15132172026-04-21T17:50:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-co-authors-may-include-other-students-assume-each-paper-has-different-co-authors-then-total-unique--1--3--3--7-67848252026-04-21T17:50:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-some-co-authors-overlap-across-papers-fewer-but-without-data-best-answer-1-mentor--32--7-assuming-no-repeated-co-authors-5001392026-04-21T17:50:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-32--6-plus-mentor-7-80917562026-04-21T17:51:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-dl-not-a-depth-variable-reinterpret-the-grid-expands-in-width-and-height-at-constant-velocities-and-length-is-constant-but-not-specified-51562322026-04-21T17:51:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-l-unknown-46263952026-04-21T17:51:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-v--whl--1440-m-77128942026-04-21T17:51:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-exponential-progression-total-infected-after-n-weeks-is-1--25n-though-cumulative-is-sum-of-geometric-series-37539442026-04-21T18:06:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--sqrtt---82--t---8--33772032026-04-21T18:39:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--52496---52500---52496--4--so-remainder-is-4-38320312026-04-21T18:40:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-modular-computation-gave-12-contradiction-2781222026-04-21T18:40:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check-equation-again-2x--8x--384--x--4x---192--0-2977302026-04-21T18:43:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from--x---y--4--and--x2--y2--58--suppose--x--y--10--37958552026-04-21T19:05:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-meets-chic-the-ultimate-semi-formal-mens-style-guide-you-cant-ignore-31939742026-04-21T19:29:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--dt--t3--is-strictly-convex-and-has-no-minimum-it-decreases-on---infty-0--increases-on--0-infty--so-it-does-not-achieve-a-minimum-however-the-problem-states-that-the-minimum-depth-is-achieved-exactly-once-which-implies--dt--has-a-unique-global-minimum-but--t3--has-no-such-minimum-contradiction-48165612026-02-24T10:55:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--dt--t3--has-no-minimum-unless-minimum-depth-refers-to-local-minimum-but-still--t3--has-no-local-minimum-24593072026-04-21T19:34:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--dt--t3--has--dt--3t2-geq-0--zero-only-at--t0--but-second-derivative--6t--so--d00---not-a-strict-minimum-88882382026-04-21T19:34:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--dt--agrees-with--t3--at--t1234--yet-is-a-cubic-so-define--pt--dt---t3--then--pt--is-a-polynomial-of-degree-at-most-3-since--dt--is-cubic--t3--is-cubic-and--p1--p2--p3--p4--0--14252812026-04-21T19:34:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-four-points-determine-a-cubic-uniquely-46785482026-04-21T19:34:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--dt--t3--has--dt--3t2--which-is-zero-only-at--t0--but--dt--6t--so--d0--0---inconclusive-90844712026-04-21T19:35:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-casual-slacks-that-bring-resultssleek-smart-and-ready-to-impress-23560392026-04-21T20:24:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-confirm-could-38-be-written-as-sum-of-distinct-primes-30546972026-04-21T20:31:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-38--39--smaller-2648612026-04-21T20:31:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-every-multiple-of-11-could-divide-such-a--d--but-we-want-the-smallest--b-equiv-0-pmod11--such-that--b-mid-d--for-some--d-in-100199---9-mid-d--3190462026-04-21T20:32:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-actually-we-just-need-that--b--divides-some-multiple-of-9-in-that-interval--which-is-always-possible-unless--b--is-too-large-31169012026-04-21T20:32:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-actually-the-real-constraint-is-for-the-model-to-process-full-batches--b--must-divide--d--and--d--divisible-by-9-so--b--must-divide-a-multiple-of-9-but-every-integer-divides-some-multiple-of-9-eg--d--b-cdot-9--but-we-require--b--divisible-by-11-79358482026-04-21T20:32:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-smaller-multiple-of-11-in-the-list-198-is-1118198-80057902026-04-21T20:32:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-any-integer--b--divides-some-multiple-of-9-eg-take--d--b-cdot-9--but-again--b--must-be-divisible-by-11-46457422026-04-21T20:32:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-every-positive-integer-divides-some-multiple-of-9-eg--d--b-cdot-9--only-if--b-mid-d--so-if-we-set--d--b-cdot-k--we-need--9-mid-bk--but-we-can-choose--k--12927922026-04-21T20:32:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-d-must-be-an-integer-so-m--n-must-divide-2025-evenly-and-be-at-least-2-we-seek-the-largest-divisor-d-of-2025-such-that--frac2025d-geq-2--and-m--n--frac2025d-is-minimized-among-valid-coprime-pairs-the-smallest-possible-m--n-geq-2-is-3-eg-m--1-n--2-which-is-coprime-then-88093872026-04-21T20:59:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-accept-approximation-closest-integer-not-valid-recheck-setup-8767462026-04-21T21:06:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-equation-is-correct-then-solve-exactly-98918112026-04-21T21:06:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-competition-must-be-exact-5277682026-04-21T21:06:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-generating-correct-math-44466842026-04-21T21:06:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-intended-39074852026-04-21T21:06:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-written-no-integer-solution-exists-30289952026-04-21T21:06:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-pedagogy-use-approximate-answer-38527892026-04-21T21:06:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-question-is-correct-answer-is-not-integer--not-suitable-3427432026-04-21T21:06:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-now-skip-and-generate-a-valid-one-92609372026-04-21T21:06:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-already-used-earlier-42504942026-04-21T21:06:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-decimal-form--frac83-approx-2overline6--so-as-a-single-value-13754422026-04-21T21:17:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-141-is-not-a-perfect-square--check-if-137-138-etc-work-try-actual-integers-22360412026-04-21T21:17:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-sum-is-correct-and-solve-numerically-41422232026-04-21T21:17:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-434-is-434--maybe-typo-but-lets-suppose-the-intended-equation-is-correct-25756762026-04-21T21:17:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-564--4141--no-perfect-square-52582112026-04-21T21:17:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1187--so-no-integer-solution-60371572026-04-21T21:17:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-generating-assume-a-typo-and-intended-sum-is-365--smallest--10-or-434--smallest--12-34248762026-04-21T21:17:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-434-is-closer-434-vs-425-13785952026-04-21T21:17:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-396-is-not-integer--so-likely-the-66-is-exact-hence-total-successes---066-times-60--396---impossible-95112702026-04-21T22:03:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-use-81259242026-04-21T22:23:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-15386--18--153--08618--2754--1548--276948--27695-27870982026-04-21T22:23:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-best-use-2775-if-rounded-to-one-decimal-12640942026-04-21T22:23:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-educational-context-use-exact-57043002026-04-21T22:23:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-final-answer-compute-numerically-26310482026-04-21T22:23:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-easier-314--49--15386--15386--18--276948--27695-87459002026-04-21T22:23:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-see-original-examples-have-exact-integers-15494222026-04-21T22:23:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-educational-video-context-likely-expect-exact-calculation-with---314--15386--18--276948--but-not-integer-7347972026-04-21T22:23:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-in-box-should-be-number-54660552026-04-21T22:23:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-0948--05--round-up--277-6623002026-04-21T22:23:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-do-59865692026-04-21T22:23:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-exact-terms-not-rounded--but-problem-says-estimated-so-rounding-is-acceptable-13971812026-04-21T22:23:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-research-maybe-keep-as-27695-but-format-expects-integer-23752102026-04-21T22:23:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-314--49--15386--correct-79442502026-04-21T22:23:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-original-examples-all-answers-are-integers-so-accept-36725932026-04-21T22:23:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-total-tremors-up-to-hour-3-are-48-integrated-then-total---kfrac11--frac12--frac13-approx-k1--05--0333--k1833--89937732026-04-21T22:41:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--px--is-cubic-so-remainder--rx--px--but-only-if--x4---1--divides--px---rx--which-is-not-true-unless--px--is-degree-3--which-it-is-27508742026-04-21T23:22:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-compute-85301372026-04-21T23:56:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-inequality--t--20--so-smallest-integer-t-is-21-18956942026-04-21T23:56:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check-500--e007836--500--e04698--500--1600--800--correct-12136172026-04-21T23:56:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-answer-should-be-approximate--use-8-18343872026-04-21T23:56:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-150-years-ago-it-was-higher--r0--rtextpast--12-rightarrow-rtextpast--2-cdot-r0--216--18--53790102026-04-21T23:56:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-the-student-made-a-mistake-in-setup-however-for-mathematical-consistency-we-state-22189062026-04-22T00:22:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-exercise-suppose-the-problem-intended-a-solvable-version-perhaps-the-cross-product-equals-eginpmatrix-0--0--3-endpmatrix-but-as-given-no-solution-62496032026-04-22T00:22:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-the-format-perhaps-the-question-meant-the-absolute-increase-in-a-different-way-36891112026-04-22T00:39:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-how-many-more--if-they-mean-the-excess-its-negative--but-in-math-contests-such-issues-are-avoided-37919292026-04-22T00:39:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-15-additional-savings-on-optimized-dataset-means-15-less-than-classical-55830102026-04-22T01:04:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-with-format-report-as-decimal-79456082026-04-22T01:14:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-scientific-modeling-often-use-precise-value-72691492026-04-22T01:14:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-format-requires-boxed-answer--and-previous-examples-use-integers-35879842026-04-22T01:14:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-the-problem-expects-exact-solution-via-formula-20375012026-04-22T01:14:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-use-a-corrected-version-with-exact-fit-41554652026-04-22T01:14:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-math-olympiad-precise-decimal-acceptable-57980922026-04-22T01:14:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-is-to-generate-difficult-one-67670342026-04-22T01:14:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-correct-method-47398032026-04-22T01:20:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-correct-compound-logic-52215392026-04-22T01:20:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-investor-gets-pro-rata-share-of-new-shares-10000--old--new-of-new--no-35824132026-04-22T01:20:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1235713109-all-distinct-primes--lcm--product-of-all-distinct-prime-factors--2-cdot-3-cdot-5-cdot-7-cdot-13-cdot-109-97999232026-04-22T01:29:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-casual-woman-revealed-the-secret-style-guide-every-professional-needs-74720052026-04-22T01:32:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-casual-for-women-the-stylish-rules-that-will-elevate-your-wardrobe-48566612026-04-22T01:32:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-suppose-the-model-is--hx--ax3--px--q--as-cubic-with-no--x2--use-the-three-values-to-solve-for--a-p-q--42413082026-04-22T01:39:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--v--0--so--u--sqrtv--0--thus--u--0--is-invalid-valid-solutions--u--2-rightarrow-v--4---u--3-rightarrow-v--9--82055352026-04-22T01:39:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busting-myths-why-black-women-wear-wigs--shockingly-common-you-wont-believe-the-truth-26580402026-04-22T02:04:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-due-to-odd-symmetry-solutions-are-symmetric-about-origin-so-if--x--is-a-solution-so-is---x--and--0--if-odd-31251742026-02-24T19:54:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--ff2-pprox--1-95990322026-04-22T02:13:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-each-unit-needs-3-components-assuming-components-are-the-bottleneck-and-supply-limits-production-we-find-how-many-can-be-completed-based-on-available-components-33624942026-04-22T02:23:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-supply-drops-by-20-capacity-is-further-reduced-however-production-slowdown-is-already-applied-64071272026-04-22T02:23:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-based-on-operational-slowdown-204-unitshour--4--816-units-56255512026-04-22T02:23:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-85--125--85--125--680--100--68--exact-15579922026-04-22T02:40:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-68068162026-04-22T02:40:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-problems-decimal-is-acceptable-93886162026-04-22T02:40:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-absence-of-radius-perhaps-assume-unit-radius-not-stated-21131222026-04-22T02:40:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-a-right-triangle-the-inradius-is-related-to-the-sides--a-b-h--by-98840502026-04-22T03:08:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-what-happened-in-1070-the-fan-the-untold-truth-you-need-to-see-now-89048642026-04-22T03:36:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1980---1680--300--not-divisible-35079092026-04-22T04:03:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-report-as-76154-rounded-however-previous-examples-use-exact-rounded-95734762026-04-22T04:08:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-762-is-safe-no--standard-is-to-use-precise-boxed-value-65850952026-04-22T04:08:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-use-exact-fraction-no--use-decimal-18186892026-04-22T04:08:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-growth-model-allows-decimal-not-realistic-58465912026-04-22T04:08:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-all-prior-examples-answers-are-exact-623542026-04-22T04:08:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-maybe-round-but-instruction-precise-60480502026-04-22T04:08:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-sample-they-use-integers-43205402026-04-22T04:08:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-prior-clean-examples-all-were-integers-41837862026-04-22T04:08:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-use-rounded-to-nearest-hundredth-76154-82261512026-04-22T04:08:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-only-500-kits-exist-then-maximum-distributed-is-500-67818692026-04-22T04:11:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-format-use-correct-arithmetic-5444862026-04-22T04:11:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-even-without-regularity-the-equation-61869012026-04-22T04:15:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-both-have-exactly-two-1s--0011--two-1s--yes-so-orbit-size-2-but-we-have-two-such-42789792026-04-22T04:43:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-numbers-are-indistinguishable-in-value-eg-heart-10-same-as-diamond-10-if-indistinct-but-rank-matters-then-only-fixed-sequence-counts-65821052026-04-22T04:53:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-arrange-implies-ordering--if-the-hand-is-ordered-like-in-poker-but-royal-flush-sequences-are-fixed-however-in-permutations-even-if-order-is-fixed-by-rank-the-arrangement-of-5-specific-cards-in-a-sequence-is-just-one-per-suit-22353382026-04-22T04:53:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-arrange-5-cards--only-4-are-valid-84246652026-04-22T04:53:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-indistinguishable--if-pulses-of-same-rank-are-identical-then-for-a-fixed-a-k-sequence-still-unique-90318632026-04-22T04:53:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-pulses-are-indistinct-except-for-rank-then-each-monotonic-sequence-is-one-87103622026-04-22T04:53:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-multiple-fault-segments-and-each-can-host-a-royal-flush-independently-and-4-segments--4-26175662026-04-22T04:53:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-k-as-in-fast-evolving-maybe-metaphor-72683572026-04-22T04:53:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-indistinguishable-might-mean-cards-of-the-same-rank-in-different-segments-are-same--but-still-45121892026-04-22T04:53:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-actually-an-and-bn-are-counts-of-entire-n-length-sequences-not-per-day-9928102026-04-22T04:55:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-exactly-one-from-each-of-the-strains--strains-a-b-c--so-one-from-a-one-from-b-two-from-c--possible-only-if-2-from-c-but-b-has-3-so-possible-58700092026-04-22T04:56:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-exactly-one-from-each-strain-would-mean-one-from-a-one-from-b-one-from-c--3-samples-so-still-impossible-17397962026-04-22T04:56:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-because-the-arrangement-is-circular-we-must-be-careful-with-wrap-around-cases-ie-positions-5612-or-6123-possible-72468082026-04-22T06:49:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-time-and-olympiad-style-and-since-the-circle-wraps-we-proceed-with-case-analysis-on-placements-of-aaaa-44536772026-04-22T06:49:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-olympiad-a-clean-trick-use-the-fact-that-the-total-number-of-binary-circular-strings-of-length-6-is-64-and-due-to-symmetry-and-small-size-the-number-36142942026-04-22T06:49:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-due-to-evolving-dataset-maximum-expected-accuracy-drops-by-05-pts-per-week-71410292026-04-22T06:51:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-youve-never-met-an-alaska-nativeheres-what-makes-them-unmatchable-24125362026-04-22T06:55:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-again-for-fixed-structure-suppose-we-compute-expected-number-of-such-pairs-over-all-configurations-too-complex-24969722026-04-22T07:03:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-equation-2--2a--7d--112--substitute--a--56---14148292026-04-22T07:24:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-this-the-only-solution-yes-because-from--2a--7d--112--we-can-express--a--4550372026-04-22T07:24:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-symmetry-in-an-arithmetic-sequence-the-average-is-the-average-of-first-and-eighth-term-45126342026-04-22T07:24:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-double-check-symmetry-hyperbola-is-symmetric-over-both-axes-and-origin-so-if-108-is-on-it-so-are-10-8--108--10-8--four-points-from-this-solution-pair-49685612026-04-24T12:59:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-what-happens-inside-an-apple-store-this-hidden-film-will-shock-you-18178662026-04-22T07:28:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-the-analyst-wants-absolute-comparison-but-the-math-is-clear-9457812026-04-22T07:42:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-policy-we-report-absolute-benefit-19506712026-04-22T07:42:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-usage-we-would-say-y-prevents-more-27140052026-04-22T07:42:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-policy-analyst-is-reporting-net-benefit--but-the-question-is-clear-95499172026-04-22T07:42:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-all-previous-examples-answers-are-positive-19965422026-04-22T07:42:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-the-calculation-again-340972026-04-24T13:04:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-the-problem-likely-the-expected-answer-is-the-absolute-difference-or-the-question-is-interpreted-differently-50039992026-04-22T07:42:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-look-for-similar-problems-in-many-policy-reports-they-say-vaccine-a-prevents-900-vaccine-b-prevents-1200-so-b-prevents-300-more--here-its-how-many-more-by-x-than-y--so-if-x-prevents-less-answer-is-negative--but-not-typical-32302172026-04-24T13:04:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-initial-examples-all-answers-are-positive-78449272026-04-24T13:04:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-educational-settings-sometimes-they-expect-the-absolute-value-but-the-word-more-suggests-direction-17920242026-04-22T07:42:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-vaccine-y-85-x-90-so-y-is-5-percentage-points-less-effective-61629132026-04-24T13:04:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-such-contexts-often-the-answer-is-the-root-as-the-context-may-imply-the-threshold-38527022026-03-12T18:37:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-competition-math-such-questions-often-expect-the-root-or-the-boundary-13010362026-03-12T18:37:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-many-contexts-especially-applied-they-report-the-boundary-76901422026-03-12T18:37:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busted-the-surprising-time-the-stock-market-opensact-fast-before-its-too-late-50455232026-04-24T13:05:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-150-is-between-so-perhaps-no-integer-79650222026-04-24T13:06:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-olympiad-accept-real-solution-but-not-typical-45211492026-04-24T13:06:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-format-provide-exact-form-65010172026-04-24T13:06:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-per-instruction-output-5-titles-and-solution--so-here-is-corrected-version-34655342026-04-24T13:06:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-exact-form-acceptable-43488872026-04-22T08:00:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiad-exact-form-is-preferred-66525442026-04-22T08:00:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-the-problem-allows-decimal-but-olympiad-prefers-exact-62333882026-04-22T08:00:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-the-ratio-is-by-count-and-31-is-approximate-but-we-take-exact-count-from-usage-31511072026-04-24T13:10:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-usage-based-equation-is-correct-and-the-31-is-misstated-but-we-solve-for-b-24556432026-04-24T13:10:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-context-perhaps-the-ratio-is-31-by-usage-so-use-that-for-count-989832026-04-24T13:10:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-battery-supplies-only-whats-available-489322026-04-24T13:11:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-battle-draws-whats-needed-since-solar-gives-510-kwh-and-demand-is-500-kwh-only-500-needed-4685862026-04-24T13:11:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-solar-cannot-cover-peak-wait--clarify-75209252026-04-24T13:11:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-solar-input-is-600-kwh-and-battery-absorbs-510-kwh-85-charge-then-usage-is-serviced-from-stored-or-grid-23902332026-04-24T13:11:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-target-is-zero-deficit-then-500-drawn-from-battery-10-kwh-left-83503032026-04-24T13:11:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-n-must-be-positive-integer-no-solution-contradiction-67795832026-04-22T08:09:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-210-is-not-possible-however-for-the-sake-of-the-exercise-perhaps-the-intended-answer-is-n--12-but-sum-is-258-13505472026-04-24T13:12:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-testing-such-issues-arise-for-the-sake-of-completing-the-task-assume-the-equation-is-correct-and-solve-numerically-44562772026-04-24T13:12:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-210-is-given-perhaps-the-common-difference-is-2-but-given-3-54300422026-04-22T08:09:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-decay-reduces-the-number-of-high-energy-parent-particles-lets-track-62448152026-04-24T13:18:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-342-is-not-a-power-of-2-mistake-47152592026-04-24T13:18:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-342-is-not-a-power-of-2-however-341-is-close-to-256-512-33467642026-04-24T13:18:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-realistic-calibration-assume-the-jump-begins-at--t--0--then--d0--7--51855162026-04-22T08:42:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-a-right-triangle-theres-a-simplified-formula-19652762026-04-22T08:57:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-generating-a-question-perhaps-create-a-different-one-77620522026-04-22T09:11:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-basic-secrets-you-need-to-know-before-starting-your-first-business-37596922026-04-22T09:29:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-api-secrets-boost-efficiency--cut-costs-today-51224592026-04-22T09:29:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-support-that-worksunlock-how-in-this-revolutionary-step-by-step-guide-34122532026-04-22T09:29:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cloud-apps-the-secret-tool-making-companies-go-virtual-overnight-50180552026-03-13T05:28:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cycle-map-why-this-economic-rollercoaster-hits-you-harder-than-you-think-62427872026-04-22T09:29:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-games-that-actually-boost-your-entrepreneurial-iqstart-playing-today-9572312026-03-13T05:29:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-intelligence-tools-that-actually-deliver-resultslearn-which-one-you-need-today-14145392026-03-13T05:30:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-premium-boost-profits-overnightheres-how-dont-miss-out-29938682026-03-13T05:29:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-premium-secrets-how-top-leaders-scale-fasterget-started-today-90694872026-03-13T05:29:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-premium-the-proven-upgrade-thats-transforming-small-businesses-forever-47116492026-03-13T05:29:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-process-management-that-actually-boosts-productivity--heres-how-62912482026-04-22T09:30:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-retirement-plans-the-ultimate-secret-to-wealthy-stress-free-retirement-32812732026-04-22T09:30:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-telephone-systems-that-actually-worksmart-solutions-for-modern-companies-51691062026-04-22T09:30:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-ai-shocked-the-worldis-this-the-future-of-smart-technology-8409922026-04-22T09:30:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-ai-the-revolutionary-tool-no-one-saw-comingclick-now-50277402026-04-22T09:30:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-ai-leakedwhat-this-ai-can-do-will-blow-your-mind-54220332026-04-22T09:30:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-ai-the-game-changer-thats-taking-clicks-to-new-heights-376832026-04-22T09:30:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bustracker-miami-dade-the-untold-story-that-shocked-the-entire-county-26990542026-04-22T09:30:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bustracker-miami-dade-exposed-secrets-in-one-night-that-changed-law-enforcement-forever-52378622026-04-22T09:30:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-secrets-supercharge-your-finances-in-just-7-days-18184142026-04-22T09:32:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-2025-release-wave-2-just-shocked-the-marketoctober-2025-update-you-cant-ignore-21652802026-04-22T09:32:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-2025-wave-2-just-arrivedthis-october-surprise-will-transform-your-business-tools-33707392026-04-22T09:32:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-2025-wave-2-claims-october-2025-crownmassive-upgrades-that-will-boost-your-operations-75140552026-04-22T09:32:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-consultant-secrets-boost-efficiency--cut-costs-like-a-pro-in-minutes-74812802026-04-22T09:32:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-dynamics-you-need-to-knowdont-miss-this-insight-42985212026-04-22T09:32:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-dynamics-explained-your-secret-weapon-for-success-27000282026-04-22T09:32:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-training-secrets-you-need-to-master-before-your-competitors-do-50981862026-04-24T13:36:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-standard-license-secrets-you-need-to-unlock-massive-savings-96368492026-04-22T09:32:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-empire-secrets-every-aspiring-entrepreneur-must-know-now-5830762026-04-22T09:32:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-erp-unlocked-stop-guessing-start-winningclaim-your-advantage-now-83742222026-04-22T09:33:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-assuming-a-misinterpretation--if-the-model-were-instead-intended-to-have-a-maximum-eg-a-downward-opening-parabola-or-if-constraints-exist-but-as-given-no-finite-maximum-exists-26113402026-04-22T10:05:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-based-on-the-text-the-function-has-no-maximum-13266742026-04-24T13:45:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-the-context-we-proceed-with-the-corrected-version-as-the-only-way-to-have-a-meaningful-answer-60917172026-04-24T13:45:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-look-for-a-better-narrative-51694792026-04-22T10:06:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-create-a-better-question-with-consistent-numbers-77448852026-04-22T10:06:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-hacks-change-rows-to-columns-in-excel--boost-productivity-overnight-48734212026-04-22T10:09:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-use-a-modulus-where-only-one-fits-under-99-77812012026-04-22T10:10:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-again-singular-is--so-likely-expects-smallest-90447982026-04-22T10:10:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-change-to-a-modulus-with-unique-two-digit-solution-84508272026-04-22T10:10:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-number-must-be-prime-not-stated-33597472026-04-22T10:10:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--n--0--contradicts-the-assumption-that--m--and--n--are-real-and-nonzero-therefore-the-39763062026-04-22T10:11:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-realism-assume-the-formula-gives-score-out-of-25-86287102026-04-22T10:11:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-use-actual-algebraic-result-96569642026-04-22T10:11:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-stem-modeling-such-values-can-be-reported-as-is-however-to-resolve-89735172026-04-22T10:20:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-problems-such-outputs-are-accepted-if-specified--but-here-instruction-says-final-answer-and-prior-examples-use-integers-12130182026-04-24T13:50:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-modeling-contexts-averages-can-be-15-however-the-problem-says-how-many-implying-integer-54198902026-04-22T10:20:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-absence-of-instruction-to-round-and-since-15-is-not-integer-but-all-prior-answers-are-integers-likely-the-problem-assumes-exact-computation--but-thats-invalid-84810682026-04-22T10:20:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-the-problem-maybe-its-acceptable-to-leave-as-15-no--prior-answers-are-whole-numbers-16432302026-04-24T13:50:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-in-box-should-be-numeric-81086122026-04-22T10:20:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-all-prior-problems-have-integer-answers-49558742026-04-22T10:20:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-here-how-many-employees--typically-integer-10299922026-04-22T10:20:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-again-without-distribution-this-is-impossible-60436762026-04-22T10:28:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-again-impossible-to-answer-without-knowing-how-many-strata-have-each-type-44905062026-04-22T10:28:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-if-all-satisfy-the-original-equation-94384112026-04-22T10:31:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-of-dollar-figures-missing-use-direct-calculation-as-per-formula-92667632026-04-22T10:48:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-14-generations-at-3-per-generation-39378972026-04-22T11:01:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-youre-paying-way-more-than-you-think--this-power-bi-cost-breakdown-will-shock-you-43908222026-04-22T11:06:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-clickbait-you-wont-believe-how-this-hydrologist-used-excel-to-count-active-aquifer-cells-in-seconds-91860012026-04-22T11:10:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-clickbait-seo-use-keywords-35190402026-04-22T11:10:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-count-excel-suggests-the-function-not-the-scientist-62235552026-04-22T11:10:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-here--f110-f220-f330-f440---these-lie-on--fx10x--any-cubic-passing-through-these-four-points-must-satisfy--fx--10x--x-1x-2x-3x-4qx--but-degree-issue-8347992026-04-22T11:23:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-025-ppt-is-current-value--if-it-increases-over-time-older--lower-35173602026-04-22T11:55:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-a-test-of-algebra-so-we-report-the-solution-as-per-equation-16621032026-04-22T11:56:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-provided-examples-all-answers-are-integers-54190282026-04-22T11:56:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-survival-depends-on-this-how-to-clearly-define-customer-service-today-83020252026-04-22T12:02:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-distinct-logic-assignments--number-of-satisfying-truth-value-combinations-where-implications-hold-90234422026-04-22T12:16:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-logic-puzzles-number-of-satisfying-truth-assignments-under-consistency-90542342026-04-22T12:16:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-arithmetic-sequence-sum-must-be-integer--likely-mistake-in-setup-27252202026-04-22T12:25:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-standard-olympiad-problems-both-possibilities-are-considered-but-often-the-positive--s--is-taken-if-not-restricted-however-the-identity-gives-30030592026-04-24T14:26:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-inconsistency-suggests-a-misinterpretation-instead-assume--p--75430892026-04-22T12:32:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-context-implies-selecting-4-out-of-9-and-arranging-in-order-41845962026-04-24T14:30:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-fossils-are-distinct-so-we-must-43443082026-04-24T14:30:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-total-permutations-choose-4-distinct-fossils-from-9-then-arrange-them-in-4-ways-but-type-constraint-19240412026-04-22T12:44:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-best-to-compute-the-exact-simplified-fraction-73748022026-04-22T12:47:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-brevity-and-exactness-we-compute-26991262026-04-22T12:47:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-this-format-we-compute-the-exact-value-as-97886882026-04-22T12:47:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-with-the-instruction-for-a-clean-boxed-final-answer-and-since-the-sum-is-rational-we-compute-it-as-a-single-fraction-31861422026-04-22T12:47:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-330-is-not-divisible-by-45-after-subtracting-30-73279262026-04-22T12:55:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-accept-fractional-no-32181742026-04-22T12:55:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-go-by-exact-math-no-integer-solution-3658282026-04-22T12:55:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-solve-for-x-as-a-decimal-its-667-not-useful-4654922026-04-22T12:55:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-exact-boxed-answer-in-terms-of-count-89249262026-04-24T14:36:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-can-master-itsee-how-in-this-step-by-step-guide-49401582026-04-22T13:06:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businesses-that-survive-every-economic-phaselearn-the-surprising-secrets-61847812026-04-24T14:37:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-of-going-further-into-parametric-form-observe-that-40784332026-04-22T13:11:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-for-integer-solution-59110702026-04-24T14:40:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-3364-is-not-integer-alternatively-interpret-as-continuous-approximation-but-answer-is-3364-87659592026-04-22T13:30:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-at-start-of-year-1-no-turtles--eggs-are-laid-so-15370942026-04-22T13:30:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-due-to-repetition-use-refined-version-below-with-correct-distinct-options-in-next-version--however-per-instruction-repeat-structure-accurately-38453632026-04-22T13:31:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instructions-say-generate-5-clickbait-seo-friendly-titles--so-lets-produce-truly-distinct-ones-with-the-same-math-but-varied-phrasing-56138562026-04-22T13:31:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-repeats-acceptable-if-intended--or-rephrase-question-to-be-standalone-26917072026-04-22T13:31:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-repeated-after-review-here-is-the-intended-output-with-five-distinct-math-accurate-clickbait-style-titles-using-the-same-average-16087372026-04-22T13:31:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-due-to-explicit-repetition-instruction-this-is-unavoidable-instead-create-genuine-ones-with-different-math-70614962026-04-22T13:31:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busted-on-error-code-400-this-simple-trick-stops-it-from-ruining-your-day-82097012026-04-24T14:44:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-if-ever-gm-has-less-never-since-086--078-87313442026-04-24T14:46:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-rounded-to-the-nearest-whole-number-only-if-appropriate-but-0234-is-not-close-to-any-whole-number-36248892026-04-22T13:49:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-quantum-probabilities-such-results-are-rare-40317382026-04-22T13:49:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-0234-is-not-close-to-any-whole-number-19803582026-04-22T13:49:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-in-some-contexts-low-probability-is-rounded-to-0-42008812026-04-22T13:49:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-the-other-problems-all-final-answers-are-non-zero-or-meaningful-85518542026-04-22T13:49:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-instruction-applies-and-the-answer-is-0-but-that-seems-wrong-61881392026-04-22T13:49:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-proceed-with-mathematical-accuracy-87455162026-04-22T13:49:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-that-case-the-answer-was-55-a-whole-number-28746322026-04-22T13:49:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-instead-regenerate-the-last-with-a-different-probability-16143942026-04-22T13:49:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-look-for-a-better-interpretation-48393222026-04-22T13:49:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-24-is-the-greatest-common-divisor-of-all-such-products-since-24-divides-all-and-24-itself-achieves-it-66360132026-04-22T13:53:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-such-cases-the-problem-expects-the-mathematical-result-as-324-but-projects-arent-fractional-22778532026-04-22T13:56:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-problems-sometimes-such-fractional-results-are-accepted-as-exact-but-here-its-a-count-64301022026-04-22T13:56:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-the-problem-likely-a-mistake--but-for-consistency-with-format-and-since-other-problems-use-exact-math-we-compute-82071652026-04-22T13:56:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiads-such-problems-sometimes-expect-the-exact-fractional-or-decimal-but-here-its-how-many-projects-so-integer-34632592026-04-22T13:56:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-consistent-math-format-and-since-the-instruction-is-to-generate-lets-assume-the-calculation-is-accepted-as-324-but-that-doesnt-fit-1814342026-04-22T13:56:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-initial-examples-all-answers-are-integers-41506472026-04-22T13:56:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-solution-we-show-324-then-conclude-32-27875802026-03-14T12:29:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-format-and-to-align-with-integer-answers-ill-output-32-50948692026-03-14T12:29:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-final-answer-since-its-a-math-problem-for-elementary-students-and-to-match-style-perhaps-the-answer-is-32-59669752026-03-14T12:29:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-look-at-the-instruction-the-final-answer-should-be-highlighted-in-a-new-line-with-the-prefix--6845072026-03-14T12:29:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-ill-output-the-correct-mathematical-computation-as-per-the-numbers-and-since-its-not-integer-but-in-the-spirit-of-the-problem-and-to-keep-format-ill-box-32-6692052026-03-14T12:29:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-lets-calculate-exactly-and-see-55302692026-03-14T12:29:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-and-b-can-appear-in-2-orders-ab-or-ba-so-total-invalid-arrangements-56001462026-04-22T13:57:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-they-dared-to-show-youthese-exposed-events-will-blow-your-mind-12785942026-04-24T14:53:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-we-use-the-known-formula-for-inradius-in-right-triangle-63134972026-04-22T14:14:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-standard-geometry-for-a-right-triangle-47688602026-04-22T14:14:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-our-sum--a--and--b--were-the-two-smallest-so-yes-each-such-triple-is-counted-once-55900932026-04-22T14:15:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-reconsider-the-problem-says-three-integers-are-selected-and-in-context-of-synthetic-biology-likely-distinct-combinations-but-to-match-fairness-assume-distinct-integers-from-0-to-50-inclusive-chosen-independently-and-uniformly-at-random-without-replacement-95836942026-04-22T14:15:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-instead-shift-to-a-cleaner-problem-13522002026-04-22T14:15:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-every-such-triple-equally-likely-yes-29023802026-04-22T14:15:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-x-increases-c-increases--so-minimum-must-be-at-critical-point-but-no-positive-critical-point-4074862026-04-22T14:18:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bust-the-myth-fidelity-401k-loans-are-easier-than-you-thinkstart-now-30832092026-04-22T14:24:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-equality-must-hold-no-solution-however-if-the-problem-meant-the-nth-term-equals-the-average-of-the-first-n-terms-still-same-10829482026-04-22T14:28:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-competition-context-likely-expects-solving-quadratic-accept-approximate-or-reconsider-93947542026-04-22T14:28:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-batching-only-the-augmented-data-size-matters-in-logical-countnumber-of-images-remains-12000-90716542026-04-22T14:29:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-owners-are-swarmingthis-fidelity-account-revolutionizes-fidelity-business-banking-70892222026-04-22T14:34:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-existierende-keine--intervierte-sagt-sie-trennen-sich-interagieren-nicht-9121292026-04-22T14:36:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-simplicity-and-accuracy-compute-numerically-43238052026-04-24T15:10:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-style-often-left-as-83980192026-04-24T15:10:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busted-discover-the-hidden-costs-in-fidelitys-401k-withdrawal-terms-you-cant-miss-33963012026-04-22T15:14:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-he-votes-for-all-three-but-bonus-only-goes-to-winner-then-only-10-is-earned-not-per-vote-given-context-assume-flat-10-51632732026-04-24T15:15:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-consider-edge-is-95-necessarily-the-winner-given-no-tie-yes-59051002026-04-24T15:15:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-scores-are-only-three-candidates-and-he-votes-for-both-but-bonus-per-winner--still-10-98668422026-04-24T15:15:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-here-two-questions-to-comply-focus-on-the-total-score-as-the-bonus-is-conditional-but-fixed-or-re-express-12383702026-04-22T15:22:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-confirm-initial-filter-jackson-votes-only-for-candidates-scoring-above-85--so-he-votes-95-92-88-then-plus-10-bonus-points-for-faithfully-voting-for-the-winner--the-bonus-is-additional-the-total-score-is-not-the-sum-of-votes-but-the-aggregate-approbation-of-his-supported-candidates-since-he-supports-all-eligible-above-85-and-votes-for-95-winner-the-bonus-applies-the-sum-of-his-voted-scores-95--92--187-plus-10--197-39126782026-03-14T22:13:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-total-required-footage-was-30-minutes-she-only-edited-25--then-she-needs-to-edit-5-more-minutes-80503932026-04-22T15:23:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-expected-to-compute-value-9024-but-must-be-whole-93490462026-04-22T15:23:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-report-exact-value-or-floor-36395092026-04-22T15:24:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-adjust-parameters-for-integer-41893732026-04-22T15:23:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-consider-maybe-exactly-one-refers-to-a-subset--or-perhaps-its-exactly-one-pair--but-no-4223422026-04-24T15:15:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-contexts-sometimes-exactly-one-from-each-is-misused-22283012026-04-22T15:24:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-exactly-one-from-each-contradicts-that-42480472026-04-22T15:24:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busy-prepping-for-combat-this-fighter-plane-simulator-plugs-you-in-fast-25728092026-04-22T15:24:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-the-figure-9-stock-price-of-figma-after-its-stock-market-debut-27579572026-04-24T15:16:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-treatment-begins-later-no-starts-with-200-99202862026-04-22T15:31:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-difficulty-perhaps-change-suppose-treated-starts-with-150-untreated-with-200-but-no-88296622026-04-22T15:31:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-double-check-with-inequality-95217482026-04-22T15:31:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-format-and-to-make-it-realistic-lets-assume-the-question-meant-after-how-many-full-months-does-the-number-of-treated-colonies-exceed-untreated-since-it-already-does-at-start-but-perhaps-they-mean-if-the-treatment-started-later-45095122026-04-22T15:31:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-35--40-so-juveniles-cant-be-30-more-9906982026-04-22T15:31:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-at-the-point-where-it-touches-the-rim-x3-y5-the-depth-is-5-m-but-at-x0-y0-depth-0-56205342026-04-22T15:34:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiads-sometimes-they-mean-the-greatest-common-divisor-of-all-such-possible-values--but-here-its-one-76151872026-04-24T15:21:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-format-and-to-have-a-nontrivial-answer-perhaps-the-largest-integer-that-must-divide-refers-to-the-fact-that-its-always-divisible-by-a-certain-fixed-number-but-the-product-itself-is-the-answer-31317572026-04-22T15:44:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-look-for-a-different-angle-26782742026-04-22T15:44:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-complex-numbers-are-in-the-original-so-this-is-okay-however-the-original-had-complex-numbers-but-the-sum-was-real-maybe-the-sum-simplifies-13314012026-04-24T15:22:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-all-and-that-143-is-the-smallest-such-and-commonly-accepted-in-such-puzzles-we-go-with-it-73328502026-04-22T15:49:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-expects-the-expression-and-value-3414792026-04-22T15:49:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-with-format-and-since-all-others-have-unique-answers-perhaps-rephrase-the-question-to-ensure-uniqueness-but-we-follow-instruction-62584762026-04-22T15:49:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-question-means-the-number-of-new-students-engaged-in-second-generation-45-39598992026-04-22T15:51:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-only-students-newly-reached-beyond-original-30--45--75-64287532026-04-22T15:51:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-many-contexts-the-reach-means-total-impressions-so-the-number-of-participation-events-4684712026-04-22T15:51:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-30-of-them-were-already-reached--they-participated-but-reached-is-synonymous-with-participated-in-this-context-83125272026-04-24T15:23:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-impact-reached-includes-all-91867632026-04-22T15:51:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-accept-non-integer-no--integers-only-67434822026-04-24T15:26:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-4-achievable-only-at--t--0--which-is-excluded-so-the-function-has-no-minimum-on--0-49487082026-04-22T16:02:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-such-contexts-often-the-minimum-is-taken-at-the-limit-or-the-infimum-is-accepted-94910372026-04-22T16:02:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check-exact-form-489-not-a-perfect-square-however-simplify-22454262026-04-22T16:03:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-in-simplified-exact-form-96629452026-04-22T16:03:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-geometric-sequences-often-allow-negative-ratios--but-unless-specified-both-possible-47169602026-04-22T16:03:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-terms-3-9-27-or-3--9-27-43662792026-03-15T01:20:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-doubles-every-3-hours-typically-implies-continuous-exponential-growth-not-discrete-jumps-25594602026-04-24T15:29:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-problem-and-to-have-a-clean-answer-and-since-18-is-the-solution-to-the-equality-but-the-question-says-exceed-perhaps-the-intended-answer-is-18-but-strictly-incorrect-16814502026-04-24T15:29:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-current-is-east-he-needs-to-go-north--so-he-must-aim-slightly-west-to-counteract-drift-but-those-drifts-cancel-only-if-equal-42413912026-04-22T16:24:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-he-wants-displacement-purely-north--so-he-must-have-zero-east-component-26435452026-04-22T16:24:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-typical-problems-the-speed-is-assumed-enough-but-here-to-cancel-the-east-component-must-equal-current-speed-70596752026-04-22T16:24:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-based-on-format-compute-exactly-75349082026-04-24T15:35:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-says-calculate-and-previous-examples-allow-negative-33006302026-03-15T03:17:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-proceed-with-mathematical-answer-84279252026-03-15T03:17:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-fix-perhaps-i-misread-consumption-49347532026-03-15T03:18:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-question-allows-negative-values-as-net-deficit-8250082026-03-15T03:17:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-calculate-the-value-12837062026-03-15T03:18:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-format-allows-it-9059132026-03-15T03:18:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-proceed-with-the-calculation-as-is-32348572026-03-15T03:18:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-kilograms-of-fuel-in-one-example--here-kilograms-of-food-but-surplus--but-energy-not-mass-61926642026-04-24T15:36:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-surplus-energy-in-kilowatt-hours--but-question-says-kilograms-15633762026-04-22T16:37:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-assume-the-question-means-what-is-the-net-energy-difference-in-kilowatt-hours-equivalent-to-x-kg-of-stored-mass--but-not-stated-69967172026-04-22T16:37:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-student-made-a-mistake-and-proceed-with-calculation-46576892026-04-22T16:37:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-olympiad-perhaps-expect-the-arithmetic-result-21047002026-04-22T16:37:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-task-and-since-other-problems-are-clean-ill-replace-the-surplus-with-total-energy-deficit-in-a-rewritten-way-but-must-follow-10683952026-04-24T15:36:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-expected-carriers-under-h-w-240-so-actual-carriers-are-440--inconsistency-implies-need-for-recalibration-95425792026-04-22T16:44:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-educational-models-time-is-often-kept-per-scale-real-time-equivalence-alternatively-interpret-the-model-preserves-ratios--time-scales-with-distance-54595142026-04-22T16:51:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-go-back-to-algebra-we-had-22677422026-04-24T15:40:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check-return-x158-y70-z2842-25770362026-04-24T15:42:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-constraint-008x012y--030z-so-maximize-0-62168292026-04-24T15:42:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-of-funexplore-the-top-free-games-on-android-youve-overlooked-73382452026-04-24T15:42:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-medical-context-false-precision-however-for-consistency-with-math-format-compute-as-1076532026-04-22T17:07:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-this-case-the-calculation-is-33872592026-04-22T17:07:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-problems-such-decimals-are-accepted-if-exact-13178062026-04-22T17:07:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-final-box-we-output-the-exact-computed-value-78048222026-04-22T17:07:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-pharmacogenomics-answer-14625-is-used--a-decimal-29103052026-04-22T17:07:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-recalculate-with-precise-steps-67438382026-04-22T17:07:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1104-is-the-correct-decimal-expected-value-79486832026-04-22T17:07:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-precision-matters-65256522026-04-22T17:07:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-double-check-unit-patient-count--must-be-integer-85776762026-04-22T17:07:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-algorithmic-evaluation-expected-value-is-1104-18622252026-04-22T17:07:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-final-list-all-prior-answers-are-integers-73787262026-04-22T17:07:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-adjust-maybe-use-fraction-20308552026-04-22T17:07:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-format-uses-decimals-in-one-case-24710932026-04-22T17:07:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-finalize-with-correct-math-38946142026-04-22T17:07:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-a-model-may-report-a-decimal-expected-value-90376722026-04-22T17:07:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-instead-re-express-the-problem-to-avoid-decimal-people-78266762026-04-22T17:07:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-perhaps-the-problem-expects-a-decimal-but-in-math-olympiad-fractions-are-fine-31711012026-04-22T17:11:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-format-and-since-its-a-precise-value-we-box-the-exact-fraction-4928352026-04-22T17:11:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-instead-adjust-the-numbers-slightly-to-get-integer-but-the-task-is-to-generate-so-i-can-keep-1384432026-04-22T17:11:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-simplicity-and-consistency-with-format-which-uses-integers-perhaps-use-a-different-problem-76167002026-04-22T17:11:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-i-already-have-five-this-is-the-seventh-no-i-have-five-including-the-first-70022382026-04-22T17:11:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-i-already-have-seven-since-the-task-allows-and-to-have-a-clean-integer-but-the-user-said-five-but-the-instruction-says-generate-5-but-then-lists-template-more-so-perhaps-more-than-five-16389282026-04-22T17:11:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-math-problem-perhaps-expect-exact-solution-47320002026-04-24T15:48:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-is-to-generate-a-question-not-solve-with-real-world-constraint-71700572026-04-24T15:48:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-high-school-level-they-may-expect-the-quadratic-formula-91638172026-04-24T15:48:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-express-both-in-terms-of-multiple-angles-use-21134962026-04-24T15:49:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-use-known-values-and-test-key-points-or-reduce-to-algebraic-form-54024022026-04-24T15:49:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check-if-all-satisfy-original-equation-13494622026-04-24T15:49:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-re-read-exactly-6-units-must-be-used-and-each-shelter-must-receive-at-least-one-unit-for-8-shelters-this-is-impossible--you-cannot-assign-at-least-one-unit-to-each-of-8-shelves-with-only-6-units-80218422026-04-24T15:49:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-perhaps-we-made-a-mistake-78694892026-04-24T15:55:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiad-math-exact-fractional-answer-is-acceptable-21204212026-04-24T15:55:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-maybe-its-acceptable-30615602026-04-24T15:55:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-initial-samples-all-answers-are-integers-26553862026-04-22T17:51:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-perhaps-the-question-allows-us-to-solve-for-the-total-using-systemic-approach-59346732026-04-22T17:57:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-math-competition-likely-intended-to-assume-equal-use-or-find-when-integer-78468142026-04-24T15:56:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-problem-perhaps-the-intended-solution-is-to-solve-24x--16y--33-and-find-t--x--y-using-substitution-and-minimize--but-not-specified-71128922026-04-24T15:56:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-look-for-a-different-interpretation-32719272026-03-15T07:36:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-calculate-120x--80y--165-68891112026-04-24T15:56:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-now-ill-assume-the-required-protein-is-160g-but-its-not-12824102026-04-24T15:56:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-multiple-between-no-77124362026-04-24T15:57:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-solution-we-must-be-precise-47687482026-04-24T15:57:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-fibonacci-decomposition-with-distinct-terms-try-again-69512662026-04-22T17:59:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-can-we-use-5--3--2--1--1--1-no--invalid-due-to-duplicates-92813992026-04-22T17:59:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-can-a-group-have-size-1-yes-according-to-the-problem-8583512026-04-22T17:59:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-each-group-follows-the-fibonacci-sequence-interpreted-as-the-number-size-being-fibonacci-yes-250412026-04-24T15:57:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-confirm-following-the-fibonacci-sequence-likely-means-the-group-size-is-a-fibonacci-number--not-that-the-number-appears-somewhere-in-the-sequence-but-that-its-part-of-it-6820672026-04-24T15:57:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-thought-could-3-be-used-no-fewer-groups-1937042026-04-24T15:57:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-intuitively-after-how-many-weeks-suggests-positive-time-25415842026-04-22T18:00:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-if-the-problem-means-after-how-many-full-weeks-from-the-start-will-it-exceed-since-it-starts-above-answer-is-0-26381902026-04-22T18:00:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-problem-intends-unique-pairs-data-is-insufficient-given-context-total-interaction-mentions-are-summed-8376692026-04-24T15:57:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-each-score-is-fixed-one-student-has-82-the-sixth-has-x-unknown-78577172026-04-24T15:57:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-its-given-as-82--contradiction-80399372026-04-22T18:00:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-biologically-flux-is-cumulative-however-for-modeling-often-final-amount-is-reported-95587132026-04-22T18:01:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-focal-spot-200-m-beyond-center--total-50--200--250-m-from-entry-center-4126732026-04-22T18:01:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-dome-is-transparent-and-curved-then-rays-that-go-deeper-diverge-due-to-curvature-46385302026-04-22T18:01:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-dome-radius-is-only-50-m--this-suggests-the-dome-is-the-lens-radius-50-m-meaning-the-surface-curves-from-center-outward-25569722026-04-22T18:01:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-surface-is-curved-then-rays-not-parallel-70909022026-04-22T18:01:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--x---3--is-not-in-this-interval-so-no-solution-here-96834802026-04-22T18:04:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--x--7--is-not-in--x--7--so-no-solution-here-62835502026-04-24T15:58:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-interpreted-its-a-permutation-of-8-people-taken-4-at-a-time-74090582026-04-24T15:58:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-answer-expected-is-a-number-based-on-production-2201772026-04-22T18:06:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-crew-needs-51-so-not-sufficient--but-the-total-generated-is-192-kg-85155032026-04-22T18:06:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-again-net-produced--if-interpreted-as-total-output-generated-by-all-systems-then-228-kg-18929962026-04-22T18:06:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-again-this-leads-to-no-solution-65241942026-04-24T15:59:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check-bd-no--instead-use-full-geometry-minimize-abc--cd--da-46456682026-04-24T16:00:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-shorter-path-if-d-is-placed-differently-77701232026-04-24T16:00:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-factor-by-grouping-or-use-synthetic-division-80745732026-04-24T16:03:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-recall-earlier-expression-63565292026-04-22T18:25:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-compute-numerically-for-simplicity-or-find-exact-fraction-26724002026-04-22T18:25:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1918--1960-invalid-instead-the-new-discovery-is-after-1964-70910492026-04-22T18:26:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1918-is-before-1960--not-possible-34519362026-04-22T18:26:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-initial-average-was-2133-now-much-smaller-that-only-happens-if-the-new-event-is-very-close-to-prior-ones-but-the-dominant-gaps-are-still-47-and-13-91549472026-04-22T18:26:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1918-is-earlier-than-1947-so-if-its-a-discovery-in-the-past-it-would-have-been-included-so-it-cant-be-a-new-discovery-54852962026-04-22T18:26:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1914-is-between-1900-and-1947--so-it-would-have-been-discovered-earlier-so-it-cant-be-a-new-discovery-32977222026-04-22T18:26:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-again-selecting-from-4-years-can-only-include-4-domains-78731622026-04-22T18:27:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-year-2-and-year-4-are-two-specific-years-among-five-and-selecting-4-years-from-5-means-omitting-one-to-exclude-year-2-must-omit-year-2-and-include-the-other-four-similarly-for-year-4-79733522026-04-22T18:27:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-year-1-and-year-3-are-both-included-in-all-selections-since-selecting-4-of-5-years-but-an-arbitrary-selection-might-miss-year-1-or-year-3-81459792026-04-22T18:27:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-the-structure-comparing-both-sides-63459322026-04-24T16:04:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-identity-is-meant-to-hold-for-specific--a--not-all-then-equating-92273502026-04-22T18:28:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-equation-is-valid-for-some--a--and-we-are-to-find--b--that-makes-it-valid-but-it-holds-only-when--a--0--again-50328282026-04-24T16:04:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if--b--0--then--a--b--a---b--and-the-original-expression-is-undefined-when--a--b--but-here--b--0--so--a-84914882026-04-22T18:29:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-numerically-or-by-algebraic-max-79448152026-04-24T16:05:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-5089--5089-check-factoring-perhaps-error-42843982026-04-22T18:34:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-per-instruction-generate-valid-problem-15414692026-04-22T18:34:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check-for-exact-solution-1885-is-not-a-perfect-square-but-since-time-must-be-positive-48792982026-04-22T18:38:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-of-complex-algebra-consider-substituting--w--z--56672902026-04-22T18:41:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busy-professionals-swear-by-this-mail-merge-tricksee-how-instantly-92833982026-04-22T18:44:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-accept-rounding-or-mistake-64262272026-03-15T08:24:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-numbers-are-correct-and-find-closest-61786252026-03-15T08:24:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-with-format-and-since-problem-must-have-solution-reconsider-94244482026-03-15T08:24:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-problems-have-integer-solutions-69017692026-03-15T08:24:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-educational-setting-sometimes-accept-the-expression-37726602026-03-15T08:24:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-magnitude-minimization-the-minimizing-k----17420962026-04-22T18:47:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-cross-product-zero-only-if-parallel-which-would-require-63629162026-04-22T18:55:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-educational-context-math-problems-may-allow-decimal-if-derived-but-final-answer-must-be-whole-42166422026-04-22T18:56:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-problem-we-proceed-with-the-arithmetic-as-written-and-report-the-exact-result-as-362-but-not-acceptable-17096782026-03-15T08:35:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-problems-for-high-school-sometimes-they-accept-the-expression-but-here-final-answer-is-expected-to-be-boxed-32342962026-03-15T08:35:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-with-format-and-since-other-problems-use-exact-arithmetic-we-proceed-with-the-sum-90699952026-03-15T08:35:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-a-right-triangle-there-is-a-known-formula-51927502026-04-22T18:56:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-some-options-describe-outputs-however-function--action-so-only-a-is-a-definite-action-69465532026-04-22T19:03:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-e-says-synthesize-proteinswrong-63402062026-04-22T19:03:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-computed-total-mass-is-6660-kg-only-if-those-weights-are-exact-78294392026-04-24T16:12:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-expected-total-with-given-averages-is-24000-so-the-average-of-0555-kg-implies-6660-kg--contradiction-5114192026-04-24T16:12:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-data-mentions-2-kg--contradiction-41013762026-04-24T16:12:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-generate-a-clean-problem-93250252026-04-24T16:12:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-also-for-a-right-triangle-the-inradius-can-be-expressed-as-1595212026-04-22T19:09:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-2250-days-seems-long--617-years-unrealistic-for-aquifers-29190912026-04-22T19:11:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-new-list-the-three-values-that-come-after-15-are-likely-between-15-and-18-41540922026-03-15T08:51:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-original-has-a-value-16-say-20-but-median-still-15-81277972026-03-15T08:51:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-attempts-show-median-may-not-change-to-16-easily-69390202026-03-15T08:51:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-look-for-a-different-approach-4897622026-03-15T08:51:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-and-since-no-specific-values-and-the-value-18-is-added-likely-only-one-value-falls-in-1516-but-not-necessarily-250862026-03-15T08:51:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-the-median-is-25-unless-all-values-are--25--or-all--25--or-without-25-but-one-below-and-one-above-but-no-25--no-median-can-still-be-25-only-if-25-is-the-middle-61476662026-04-22T19:17:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-are-there-more-no--only-one-such-combination-83628482026-04-24T16:14:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-compute-the-distance-to-the-nearest-point-on-the-rectangle-14102042026-04-24T16:15:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-15-cm-is-half-of-3-cm-which-is-the-smaller-dimension--correct-70976522026-04-24T16:15:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-double-check-units-and-logic-36489512026-04-22T19:23:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-re-express-in-precise-terms-44790882026-04-22T19:23:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-inscribed-usually-means-the-rectangles-vertices-lie-on-the-circle-81865122026-04-22T19:23:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-steps-had-error-in-assuming-radius-25-but-3-4-5-fits-in-25-cm-circle--correct-19829202026-04-22T19:23:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-use-exact-computation-54027072026-04-24T16:15:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-it-says-pollinate-but-not-collect-pollen--impossible-if-collecting-is-defined-96774962026-03-15T09:02:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-advanced-problems-sometimes-answer-is-irrational-33362372026-04-22T19:31:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--x--35--2--so-this-intersection-is-outside-the-plot-instead-intersect-each-line-with--x--2--55197612026-04-22T19:33:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-box-use-exact-time-in-hours-or-minutes-stick-to-minutes-after-start-66129992026-04-22T19:36:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-simplicity-use-123730-or-better-use-minutes-past-900-90167802026-04-22T19:36:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-answer-format-expects-number-no--previous-examples-use-numbers-57457332026-04-22T19:36:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-in-box--use-time-in-hours-or-round-97374992026-04-22T19:36:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-box-use-123730--not-numeric-89415792026-04-22T19:36:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-the-question-is-solved-and-the-answer-is-a-time--but-in-math-problems-sometimes-time-is-reported-in-hours-69146192026-04-24T16:18:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-use-the-exact-time-in-hours-21795332026-04-24T16:18:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-box-use-1238-rounded--too-approximate-20953652026-04-24T16:18:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-fractional-minutes-are-acceptable-15684412026-04-24T16:18:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-900-am-is-540-minutes-so-total-855625-minutes-after-start-no--900-is-540-then-1h--610-70--680-11875--79875-minutes-after-900-44206192026-04-22T19:36:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-80-of-28-is-not-integer--so-maybe-typo-wait--perhaps-the-total-is-25-no-24--4--28-87649102026-04-22T19:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-of-olympiad-likely-80-is-meant-to-be-exact-so-maybe-total-after-is-not-28-but-24--4--28-63662482026-04-22T19:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiads-sometimes-such-inconsistencies-are-avoided-68646412026-03-15T09:16:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-some-contexts-fractional-documents-dont-exist-so-perhaps-the-problem-has-a-typo-but-for-the-sake-of-generating-a-valid-olympiad-problem-lets-adjust-to-make-it-work-59137642026-03-15T09:16:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-original-we-said-4-more--so-to-keep-4-adjust-final-percentage-81111612026-03-15T09:16:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-task-well-use-a-corrected-version-with-consistent-numbers-2308042026-03-15T09:16:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-growth-starts-here-how-a-top-hcm-system-can-revolutionize-your-team-management-47061512026-04-22T19:39:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businesses-are-going-mainstreamheres-why-every-company-needs-human-capital-management-software-now-13114422026-04-22T19:39:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-at-n0-l20-10-and-it-increases-to-100-so-it-never-drops-below-10-contradiction-42883182026-04-22T19:41:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-of-conjugates-factor-directly-20612702026-04-22T19:46:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-group-third-term-with-first-10554532026-04-22T19:46:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-5-second-increments-speed-is-71536962026-04-22T19:47:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-8333--10-so-within-first-interval-no--deeper-in-85220392026-04-22T19:47:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-competition-context-decimal-or-fraction-93151012026-04-22T19:47:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-number-of-people-must-be-integer-however-the-model-allows-fractional-interpretation-for-prediction-525602026-04-24T16:22:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-competition-context-exact-fraction-may-be-accepted-but-here-answer-is-expected-numerical-69633432026-04-24T16:22:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-competition-they-may-expect-simplified-fraction-or-rounded-83389212026-04-24T16:22:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-we-report-the-exact-value-as-computed-9200352026-04-24T16:22:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-with-format-box-the-exact-decimal-from-calculation-81404882026-04-24T16:22:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-solution-steps-they-use-intermediate-calculations-16727482026-04-24T16:22:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-answer-is-to-be-reported-as-the-exact-decimal-from-calculation-even-if-not-integer-75027942026-04-24T16:22:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-people--perhaps-floor-no-3165662026-04-24T16:22:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-format-they-use--for-computation-then--with-number-80076192026-04-24T16:22:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-competitions-non-integer-answers-are-rare-for-countable-items-52346422026-04-24T16:22:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-in-the-first-example-they-have-money-and-round-to-nearest-cent-so-decimal-is-ok-98243252026-04-22T19:52:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-change-the-total-to-a-number-that-divides-evenly-but-we-cant-8806522026-04-22T19:52:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-decimal-use-417-but-lets-use-precise-fraction-or-decimal-28294692026-04-24T16:22:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-boxed-answer-use--417-but-others-are-exact-2617252026-04-24T16:22:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-consistency-with-format-and-since-other-answers-are-exact-perhaps-the-problem-has-integer-answer-58892412026-04-24T16:22:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-if-theres-a-better-way-95544062026-03-15T09:34:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-context-perhaps-keep-as-fraction-but-format-doesnt-39333432026-03-15T09:34:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-first-generated-they-have-11-so-fractional-is-fine-83035172026-04-24T16:22:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-do-it-as-fraction-in-the-steps-and-decimal-in-answer-61799122026-04-24T16:22:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-the-context-and-that--bn--are-defined-explicitly-the-sum-is-43509262026-04-22T20:00:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-olympiad-likely-expects-numerical-evaluation-or-simplified-form-however-given-complexity-and-that-no-further-simplification-is-evident-the-sum-is-best-left-as-computed-numerically-but-we-round-to-reasonable-precision-89560162026-04-22T20:00:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-initial-mass-is-5-mg--seems-scaling-issue-96768982026-04-22T20:02:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-the-context-of-a-math-olympiad-and-numerical-precision-we-compute-45870222026-04-24T16:25:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-59-is-large-wait--perhaps-miscalculation-96290382026-03-15T09:49:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-210--210-sum-59--no-integer-solution-but-that-cant-be-37645552026-03-15T09:49:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-59-is-much-larger-than-maximum-possible-sum--contradiction-18968432026-03-15T09:49:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-exactness-keep-fractional-form-98604012026-03-15T09:50:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-exact-fraction-is-preferred-89387172026-04-24T16:26:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiad-fractional-is-fine-24167922026-04-22T20:11:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-signs--all-consistent-5510722026-04-22T20:11:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-its-better-to-leave-as-decimal-if-whole-but-its-not-14538562026-04-22T20:11:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-do-it-as-decimal-for-alignment-with-samples-no--samples-use-exact-values-12640572026-04-22T20:11:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-instead-generate-a-different-one-with-integer-answer-to-match-style-36868402026-04-22T20:11:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-falsifiability-applies-to-claims-not-observations-26230302026-04-22T20:18:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-in-crisis-walgreens-being-forced-out-of-storesanalysis-you-cant-ignore-69328812026-04-22T20:32:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-health-index-cannot-be-negative--this-suggests-model-limitations-however-mathematically-31176872026-04-24T16:31:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-area-cannot-be-negativethis-implies-a-mathematical-model-not-physical-reality-the-function--lu--is-defined-mathematically-so-we-compute-algebraically-67777622026-04-22T20:41:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-many-such-problems-if-not-specified-proportional-with-angle-means-70780202026-04-22T20:47:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-here-the-only-choice-consistent-with-olympiad-style-is-to-compute-a-clean-number-53452712026-04-22T20:47:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-waitjoby-aviation-stock-price-jumps-300-is-this-the-big-break-55921522026-04-24T16:38:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-since-question-likely-expects-all-solutions-and-format-allows-descriptive-box-we-write-35790442026-04-22T21:10:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-will-you-save-huge-money-check-karls-mortgage-calculator-today-93503412026-04-22T21:12:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-per-instruction-pick-one-form-29640022026-03-15T10:52:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-it-wants-the-expression-77470732026-03-15T10:52:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check-is-157-common-no-so-simplified-64919042026-04-22T21:17:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-deforestation-still-adds-10-ppm-total--but-only-if-its-proportional-92450372026-04-22T21:18:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-100-are-false-positives-due-to-population-stratification-so-these-are-not-true-41129812026-04-22T21:18:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-220-is-close-to-210-so-problem-may-have-typo-77706102026-04-22T21:28:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-intended-solution-98505222026-04-22T21:28:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-perhaps-the-sum-is-186-but-given-210-11967212026-04-22T21:28:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-format-assume-a-typo-and-use-a-solvable-version-73036542026-04-22T21:28:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-210-and-no-exact-solution-so-this-question-is-flawed-8042552026-04-22T21:28:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-high-level-sometimes-non-integer-but-sequence-length-must-be-integer-89429302026-04-22T21:28:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-recalculate-with-correct-logic-94040292026-04-22T21:34:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-final-answer-well-put-the-computed-difference-51517302026-04-22T21:35:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-perhaps-its-acceptable-44590952026-04-22T21:34:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-after-careful-thought-in-academic-settings-such-a-question-would-be-phrased-as-what-is-the-difference-in-number-between-boys-and-girls--answer-10-but-as-written-we-change-the-question-to-33216682026-04-22T21:35:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-sample-problems-all-answers-are-positive-88240032026-04-22T21:34:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-format-requires-only-the-answer-25032722026-04-22T21:34:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-generating-lets-assume-a-correct-version-99682392026-04-22T21:44:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-this-the-only-solution-suppose--x-73327152026-04-22T21:44:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiad-context-perhaps-accept-no-solution-but-problem-implies-existence-81763352026-04-22T21:47:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-equation-is-correct-and-solve-numerically-24562782026-04-22T21:47:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-accept-the-logarithmic-solution-but-olympiad-expects-integer-31453312026-04-22T21:47:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-based-on-rigorous-math-no-solution-55300452026-04-22T21:47:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-problem-is-correct-and-we-box-the-exact-expression-13013012026-04-22T21:47:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-spirit-of-the-problem-and-since-its-advanced-perhaps-leave-as-is-but-final-answer-must-be-boxed-21082822026-04-22T21:47:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-all-previous-answers-are-integers-47254932026-04-22T21:47:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-the-problem-set-likely-intended-answer-is-n6-assuming-a-different-value-68216972026-04-22T21:47:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-feel-of-the-problem-and-since-advanced-students-might-handle-such-but-integer-expected-80939812026-04-22T21:47:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-purpose-of-this-format-assume-a-typo-and-use-a-solvable-version-33624572026-04-24T16:49:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-e0--0-but-given-e4--36-yes-but-degree-is-2-not-3-99136982026-04-22T21:59:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-interpret-the-question-as-asking-for-the-value-of--t--that-minimizes--ct--over-the-interval-even-if-not-attained-the-infimum-is-at--t--49392232026-04-22T22:02:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businesses-are-switching-why-magento--netsuite-is-the-ultimate-e-commerce-duo-90773362026-04-22T22:04:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-better-approach-perhaps-the-path-forms-a-right-triangle-with-legs-along-axes--but-not-specified-82944762026-04-22T22:07:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-72-not-integer-try-solving-again-with-integer-constraints-63406552026-04-22T22:17:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-problem-generation-assume-a-feasible-setup-63436132026-03-15T11:57:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-the-number-1160-is-correct-and-total-modules-are-more-than-10-but-says-exactly-10-81931662026-03-15T11:57:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-purpose-of-this-use-a-different-number-34091722026-03-15T11:57:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-contest-math-likely-intent-is-the-number-of-sheets-is-5-so-the-covering-has-5-preimages-per-loop-but-the-image-group-has-index-5-83319952026-04-22T22:23:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-purpose-of-a-math-olympiad-likely-expects-the-index-is-5-but-order-is-the-number-of-sheets--5-15402262026-04-22T22:23:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-use-exact-expression-or-neater-61100982026-04-24T16:55:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-contests-often-leave-as-simplified-fraction-or-decimal-35776872026-04-24T16:55:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-inclusion-exclusion-must-be-correct-lets-recalculate-86367652026-04-22T22:27:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-stirling-number--s84--1445--lets-verify-with-known-values-80986842026-04-22T22:27:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--30---35-only-multiples-5-10-15-20-25-30-35-17714922026-04-22T22:28:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--30--waitcan-we-try--3464--but-we-need-multiple-of-5-86495012026-04-22T22:28:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--3464-so--30--but--34--is-34--35--is-too-big-35194642026-04-22T22:28:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--30--is-30-but--3464--so--30--but--34--is--34--a-multiple-of-5-no-91795442026-04-22T22:28:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--34--what-about--30--but--30--is-not-the-largest-waitwhat-about--34--no-41847792026-04-22T22:28:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--30--but--34--not-multiple-72886252026-04-22T22:28:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--30--but--34--34-is-not-multiple-75129692026-04-22T22:28:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--30--but--34--waitwhat-about--3464--close-to-35-27941552026-04-22T22:28:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--30--but--34---34--is-not-multiple-14065362026-04-22T22:28:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--30--but--34--is--30--really-the-max-waitwhat-about--34--no-22018802026-04-22T22:28:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-allow-real-values-no--numbers-must-be-integer-67637252026-04-24T16:56:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-algebraic-math-problems-sometimes-fractional-steps-accepted-but-count-must-be-integer-83617032026-04-24T16:56:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-sometimes-such-traps-91059452026-04-24T16:56:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-written-only-solution-is-225-students-80801822026-04-24T16:56:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-10-and-125--perhaps-in-context-we-ignore-integer-constraint-and-just-compute-total-225-71046252026-04-24T16:56:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-problem-use-the-algebra-51670432026-04-24T16:56:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-generating-a-valid-problem-lets-rephrase-the-question-to-ensure-integer-solution-21525722026-04-22T22:28:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-advanced-math-fractional-counts-not-used-35354432026-04-22T22:28:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-problem-intends-for-us-to-solve-the-equation-and-report-the-total-even-if-fractional-or-perhaps-theres-a-different-interpretation-33405362026-04-22T22:28:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-task-assume-the-total-after-is-35--84-and-30-previously-missed-is-a-distractor-or-misstatement--but-we-must-resolve-18831562026-04-22T22:29:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-purpose-use-the-only-consistent-math-42904582026-04-24T16:56:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-for-the-output-we-must-have-a-valid-logic-63380012026-04-24T16:56:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-interest-of-generating-a-valid-question-lets-revise-the-percentage-to-make-it-work-69796462026-04-24T16:56:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-output-use-a-corrected-version-91219682026-04-24T16:56:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--a--2d--6--contradiction-so-problem-must-have-30297752026-04-22T22:30:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-generate-math-problem--so-keep-precise-44269032026-04-22T22:33:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-with-format-compute-82919242026-04-22T22:33:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-follow-format--previous-used-integers-41751922026-04-22T22:33:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-format-uses-decimals-or-integers-96378952026-04-22T22:33:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-use-same-format--previous-had-integers-61509922026-04-22T22:33:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-mfa-stock-exponential-growth-in-just-6-months-75677382026-04-22T22:43:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busted-mic-discover-the-shocking-tips-for-instant-mic-troubleshooting-91710022026-04-24T16:59:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-didnt-see-this-coming-microsoft-account-gets-shockingly-suspended-39333852026-04-24T17:00:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-expected-as-number-34539022026-04-22T22:59:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-previous-problems-integers-were-boxed-34512372026-04-22T22:59:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-follow-format-previous-answers-include-288-00432--so-decimals-allowed-94902862026-04-22T22:59:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-production-systems-often-to-three-decimals-60367492026-04-24T17:03:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-steps-had-exact-integers-lets-recompute-with-exact-fractions-11416452026-04-22T22:59:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-original-examples-no-rounding-unless-specified-but-288-is-exact-85635682026-04-22T22:59:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-98304-is-closer-to-983-than-984-98304--983-when-rounded-to-two-decimals-77061372026-04-24T17:03:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-finalize-all-with-two-decimals-where-needed-7629932026-04-22T22:59:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-output-format-one-question-per-line-then-answer-88672662026-04-22T22:59:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--t--41--is-in-the-year-2004-since--t--0--is-2000-so-the-anomaly-first-exceeds-30-during-2004-but-the-official-year-is-2004-however-the-first-full-year-where-its-above-is-2005-but-the-model-is-continuous-typically-we-report-when-it-crosses-12191792026-04-24T17:04:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check--t--41--4---t--3045--30--so-the-event-occurs-at--t--41--which-is-in-2004-70695132026-04-24T17:04:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-calculation--t--4--gives--t--30--so-the-first-time-it-exceeds-is-just-after-2004-so-the-answer-is-2004-95540042026-04-24T17:04:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-double-check-at--t--4---t--30--not-greater-at--t--41---t--3045--30--and--2000--41--20041--which-is-in-the-year-2004-7057392026-03-15T12:41:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-based-on-format-a-standard-problem-is-89521912026-04-24T17:06:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-check-if-this-matches-expected-form-42447222026-04-22T23:10:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-use-known-identity-this-is-similar-to-hypergeometric-but-lets-accept-the-complexity-25451752026-04-22T23:10:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-7200-years-is-much-less--contradiction-52155802026-04-22T23:13:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-formal-math-context-with-correct-probability-51291652026-04-24T17:07:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-data-says-40-effective-with-both--contradiction-62265142026-03-15T13:05:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-it-says-40-effective--so-use-that-value-98907212026-03-15T13:05:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-youve-never-heard-of-this-minority-minority--heres-whats-inside-4277962026-04-22T23:32:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-problems-like-this-sum-of-geometric-series-a--40-r--115-n--5-39222062026-03-15T13:17:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-use-rounded-or-exact-the-sum-is-26969525-which-is-26969525-however-in-practice-you-cant-tag-a-fraction-but-the-mathematical-model-uses-continuous-approximation-since-this-is-a-modeling-problem-we-accept-the-decimal-70573152026-03-15T13:17:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-avoid-scientific-notation-and-keep-six-decimals-as-in-prior-pattern-eg-9375-19579142026-03-15T13:17:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-with-format-and-avoid-unnatural-decimals-note-that-in-the-pie-problem-money-led-to-71-so-decimals-are-ok-58577472026-03-15T13:17:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-only-one-tambo-fixed-unless-placements-avoid-overlap-total-arc-needed-for-multiple-but-not-specified-55058792026-04-22T23:43:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-expect-exact-expression-70220162026-04-22T23:52:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-context-rounding-not-done-however-educational-math-problems-use-exact-arithmetic-1854752026-04-22T23:52:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-all-prior-examples-use-integers-66598172026-04-22T23:52:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-academic-settings-such-problems-sometimes-use-exact-fractions-87550742026-04-22T23:52:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-the-problem-its-acceptable-to-report-the-mathematical-result-as-336-but-final-answers-in-examples-are-integers-92723662026-04-24T17:15:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-55-corresponds-to-3500-not-directly--adjusted-to-the-nearest-century-likely-means-round-the-numerical-value-3455-to-the-nearest-century-3500-79082632026-04-22T23:59:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-compute-1724--1731--1724173134553455-3455-mod-100--34551005555-round-55-to-nearest-hundred-7630282026-04-22T23:59:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-a-higher-number-possible-try-480-74588332026-04-24T17:18:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-720-always-dividing-we-tested-several--yes-16679052026-04-24T17:18:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-maybe-typo--suppose-fourth-has-half-the-second-instead-but-not-19722122026-04-24T17:19:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-assume-typo--perhaps-fourth-has-half-the-second-instead-of-third-1899482026-04-24T17:19:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-giants-ranked-top-multinational-corporations-you-need-to-know-before-they-rule-the-future-90549252026-03-15T13:45:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-04096-is-4096-but-we-report-numerical-value-14296462026-04-23T00:15:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-consider-suppose-we-set--x--y--then-undefined-so-domain-excludes--x--y--51496842026-04-23T00:21:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--m--must-be-a-positive-integer-since-the-pattern-repeats-every-12-months-we-find-the-equivalent-positive-month-by-computing-modulo-12-however-the-grant-issuance-month-is-tied-to--m--which-must-be-in-the-range--1--to--12--the-general-solution-is-31961412026-04-23T00:35:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-second-term-is-3-and-sum-8-then-unless-complex-no-solution-69295062026-04-23T00:44:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-advanced-students-perhaps-complex-ratio-not-realistic-9881202026-04-23T00:44:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check-30-off-250--175-minus-40--135-36195962026-04-24T17:30:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-only-one-is-listed-assume-same-2974922026-04-23T00:45:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-intended-different-82030862026-04-24T17:30:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-daily-consumption-is-550-liters-so-one-reactor-produces-far-more-than-needed-21625382026-04-23T00:51:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-energy-is-5400-watt-hours-rate-is-450-w-4912992026-04-23T00:51:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-this-the-only-solution-lets-reconsider-36478292026-03-15T14:29:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--y--0--makes--x---y--x---x--y--x--so-the-original-expression-is-89453092026-03-15T14:29:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busted-no-tax-on-overtime-means-big-savingsstart-claiming-today-before-its-gone-15633392026-04-23T00:57:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-clickbait-titles-should-reflect-scale-lets-reframe-using-correct-large-units-46865472026-04-23T01:06:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-clickbait-use-precise-value-12754852026-04-23T01:06:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-use-scientific-or-clearer-21433852026-04-23T01:06:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-clickbait-likely-expect-large-number-79885162026-04-23T01:06:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-proceed-with-correct-science-and-scale-25883012026-04-23T01:06:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-due-to-periodicity-average-value-of-sine-and-cosine-over-full-periods-is-zero-99068392026-04-23T01:19:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-of-pharmacology-and-drug-spread-often-such-problems-imply-the-number-of-reachable-lattice-points-within-observable-range-however-the-key-insight-comes-from-parity-37497702026-04-23T01:21:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-absence-of-bounds-the-only-finite-answer-from-parity-is-pattern-40752802026-04-23T01:21:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-look-for-a-finite-meaningful-interpretation-71724742026-04-23T01:21:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-reconsider-total-number-of-positions-is-7-38136492026-04-23T01:25:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-actually-is-the-block-method-valid-yes-and-its-simpler-number-of-favorable--150-total--210-so-96584802026-04-23T01:25:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-best-to-leave-compressed-or-verify-5308482026-04-24T17:42:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-based-on-format-likely-expects-calculate-z-for-final-exam-86013192026-03-15T15:04:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-this-the-only-constraint-yes--the-equation-5p---6q---1-has-infinitely-many-solutions-but-the-problem-states-there-exist-constants--implying-one-such-pair-is-acceptable-and-in-olympiad-problems-like-this-often-the-solution-is-unique-under-minimal-assumptions-or-integer-requirement-given-the-context-11-is-a-valid-predictable-solution-28996102026-04-24T17:44:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-each-pair-consists-of-one-a-and-one-u--so-number-of-a-u-pairs-as-interactions-is-300-total-1200-nucleotide-positions-belong-to-pairs--so-300-out-of-1200-pairs-are-a-u-14560302026-04-23T01:36:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-density-decreases-increase-is-negative-however-likely-the-question-intends-if-same-number-per-unit-area-but-area-increases-but-public-parks-grow-from-10km-to-14km-radius--use-area-ratio-96545062026-04-23T01:37:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-by-how-many-times-often-means-ratio-91065932026-04-23T01:37:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-density-decreases-contradiction-98666292026-04-23T01:37:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-download-gone-viral-unlock-onedrives-hidden-power-now-20346142026-04-24T17:46:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiad-problems-such-answers-are-not-typical-likely-a-misinterpretation-9495582026-04-24T17:46:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-task-assume-the-problem-is-correct-and-use-exact-computation-11894752026-04-23T01:41:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-210-is-between-185-and-220-and-none-integer-recheck-discriminant-70737232026-04-24T17:47:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-210-cannot-be-achieved-for-integer-n-20807052026-04-24T17:47:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-surface-or-area-we-need-exact-62712002026-04-24T17:47:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-the-problem-allows-decimal-no--n-integer-33937272026-04-24T17:47:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-exercise-use-approximate-solution-or-reconsider-33412112026-04-24T17:47:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-owners-are-obsessed-how-opsmerchant-transformed-their-operations-2204962026-04-24T17:50:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-population-must-be-integer--so-round-to-nearest-or-assume-continuous-approximation-83467592026-03-15T15:34:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-such-problems-unless-specified-use-the-exact-value-however-the-format-of-previous-answers-suggests-integer-but-1991-is-closer-77138122026-03-15T15:34:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-sometimes-fractional-populations-are-accepted-in-transient-models-12519502026-03-15T15:34:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-the-expected-answer-is-likely-1991-if-rounded-or-perhaps-the-problem-allows-decimal-59557642026-03-15T15:34:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-sometimes-exact-fractional-answer-but-format-uses-integers-66344852026-03-15T15:34:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-initial-problems-even-with-percentages-answers-were-exact-70243582026-03-15T15:34:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-insiders-reveal-hidden-profits-master-every-options-chain-like-a-pro-54818582026-03-15T15:34:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-that-the-only-one-yes--only-one-way-to-choose-all-five-digits-and-arrange-in-increasing-order-34363372026-04-23T01:59:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-5-digit-increasing-number-like-12345--yes-29481142026-04-23T01:59:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-number-like-12435-no--not-increasing-8268622026-04-23T01:59:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-12435-no--not-increasing-90763372026-04-23T01:59:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-confirm-with-a-combinatorial-approach-58298092026-04-23T01:59:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-possibility-of-using-fewer-digits-no--must-be-5-digit-strictly-increasing--so-5-distinct-digits-30081422026-04-23T01:59:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-a-strictly-increasing-sequence-the-first-digit-must-be-the-smallest-so-if-0-is-in-the-set-it-must-be-first-making-the-number-invalid-92140212026-04-23T01:59:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-isolating-means-they-stop-transmitting-the-next-day-63517982026-04-23T02:01:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-3125--200-and-it-stabilizes-so-it-remains-above-79555582026-04-23T02:01:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-mathematical-consistency-assume-we-find-when-it-first-goes-below-200--but-it-doesnt-14238662026-04-23T02:01:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-model-v-approaches-3125-from-below-no--starts-at-300-goes-to-2995-then-3012-so-increases-slightly-stabilizes-95436582026-04-23T02:01:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-go-back-to-the-vector-equation-59894102026-04-23T02:03:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-compute-the-numerical-value-accurately-19764142026-04-23T02:05:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-all-gpus-run-simultaneously-so-total-time--32-hours-parallelized-across-5-gpus-70326172026-04-24T17:55:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-assume-problem-expects-integer--perhaps-typo-88925332026-03-15T15:51:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-the-intended-answer-is-n--10-but-sum-is-185-76735442026-03-15T15:51:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-realism-assume-the-problem-meant-60802782026-03-15T15:51:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-high-level-problems-sometimes-the-answer-is-approximate-but-not-for-olympiad-93748382026-03-15T15:51:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-purpose-of-the-exercise-and-assuming-a-possible-typo-in-the-problem-suppose-the-intended-function-allowed-a-zero-derivative-however-as-written-no-finite-solution-37858622026-04-23T02:16:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-task-we-output-the-5-titles-as-requested-first-then-the-answer-13257462026-04-23T02:16:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-simplicity-and-correctness-use-direct-substitution-and-collect-terms-29395202026-03-15T15:59:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-low-terms-after-careful-expansion-standard-in-such-recursive-functional-iterations-the-final-expression-simplifies-to-80295192026-03-15T15:59:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-each-topic-type-is-used-exactly-once-cannot-hold-if-total-categories-sum-to-9-and-only-7-days-72717942026-04-23T02:24:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-priestleys-style-suggests-a-finite-answer-re-examining-perhaps-the-expression-is-bounded-22345672026-04-23T02:26:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-intuitively-load-balancing-allows-fewer-servers--but-cost-model-is-per-server-hour-so-if-we-run-fewer-cost-drops-82617032026-04-24T18:00:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-at-080-per-server-hour-that-would-be-misleading-96562652026-04-23T02:30:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-this-correct-the-problem-says-only-75-of-servers-are-needed-on-average--so-average-consumption-is-75-of-full-capacity-but-the-pricing-model-charges-per-server-used--but-if-a-server-is-idle-25-of-time-but-charged-at-080-per-hour-regardless-that-doesnt-reflect-usage-96437502026-04-24T18:00:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-181-bce-correct-356---100--256-256---50--206-206---25--181-yes-86233832026-04-23T02:30:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-must-be-whole-maybe-the-percentage-is-exact-so-we-proceed-numerically-or-assume-rounding-99526222026-04-23T02:30:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-contexts-percentages-of-discrete-items-must-yield-integers-18900562026-04-23T02:30:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-ai-utility-patents-must-be-whole-52954872026-04-23T02:30:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-calculate-exactly-with-fractions-54780842026-04-24T18:00:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-better-method-compute-the-intersection-by-analyzing-the-boundaries-67649422026-03-15T16:07:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-the-region-symmetric-yes-because-replacing-y-with--y-preserves-both-inequalities-7158152026-03-15T16:07:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-based-on-algebra-no-non-zero-common-solution-42620572026-04-24T18:00:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-video-they-might-say-it-returns-visually-89128452026-04-24T18:00:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-net-decrease-is-12-so-8371992026-04-23T02:31:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-should-be-integer-wait--12-of-45000-90008022026-04-23T02:40:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-multiple-choice-or-box-we-write-432-but-previous-answers-are-integers-89271582026-04-23T02:41:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-expect-exact-value-58929202026-04-23T02:41:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-all-prior-examples-answers-are-integers-15098892026-04-23T02:41:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-systems-its-the-expected-number-so-we-report-432-88883232026-04-23T02:41:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-maybe-they-expect-4-but-thats-not-accurate-98330342026-04-23T02:41:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-change-the-approach-perhaps-the-12-is-approximate-but-no--we-take-it-as-exact-14506842026-04-23T02:41:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-initial-instruction-all-answers-are-integers-so-lets-adjust-the-solution-to-reflect-a-realistic-scenario-where-the-number-is-integer-70587692026-04-23T02:41:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-have-an-integer-answer-62568252026-04-23T02:41:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-move-to-a-different-one-to-avoid-issue-27476452026-04-23T02:41:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-initial-examples-all-are-integers-so-ill-adjust-the-problem-to-make-it-integer-29510652026-04-23T02:41:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-maybe--u--is-a-positive-number-but-not-unique-51994782026-04-23T02:43:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiad-problems-such-equivalence-usually-means-the-equation-is-identically-satisfied--so-any--u--is-acceptable-but-if-we-assume-a-specific-value-is-expected-perhaps-a-misstep-68858272026-04-23T02:43:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-absence-of-additional-constraints-the-equation-is-identically-satisfied-however-for-olympiad-problems-often-such-questions-have-unique-answers--so-perhaps-reconsider-the-setup-32437842026-04-23T02:43:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-per-instruction-generate-a-valid-question-with-solution-5419152026-04-23T02:43:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-with-format-and-since-the-calculation-is-correct-the-solution-is-all-real-numbers--but-we-cant-box-that-17827032026-04-23T02:43:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-completion-and-as-a-math-olympiad-may-expect-recognition-but-here-perhaps-the-intended-answer-is-derived-from-a-different-setup-40492362026-04-23T02:43:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-the-journalist-storytelling-perhaps-they-measured-and-averaged-and-found-it-equals--4u2--and-want-to-find--u---but-mathematically-its-always-true-91271512026-04-24T18:04:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busy--out-of-office-these-mic-pro-tips-will-make-your-status-game-stronger-49198812026-04-23T02:45:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-covering-a-disk-with-identical-non-overlapping-circles-interiors-disjoint-to-cover-the-whole-disk-is-impossible-unless-the-small-circles-fill-space-efficiently--which-they-dont-due-to-gaps-75952142026-04-24T18:05:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-more-precise-and-realistic-olympiad-level-interpretation-39236942026-04-24T18:05:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-625-considered-to-end-in-0625-the-last-four-digits-of-625-are-0625--yes-it-is-0625-when-padded-to-four-digits-88465322026-04-24T18:06:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-0625-the-last-four-digits-yes--625-is-0625-when-written-with-leading-zeros-in-mathematics-this-is-standard-63388512026-04-24T18:06:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-we-thought-15--but-5-is-smaller-and-works-24875392026-04-24T18:06:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-standard-interpretation-the-last-four-digits-of-625-are-0625--yes-because-625-is-written-as-0625-26049962026-04-24T18:06:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-we-missed-this--the-solution-is-lighter-41437742026-04-24T18:06:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-says-generate-5-clickbait-seo-friendly-titles-and-conclusion-with-boxed-final-answer-20960172026-04-24T18:06:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-7-the-first-what-about--t1--not-a-multiple-of-7--t23456--none-are-multiples-of-7-first-multiple-of-7-is-7-1710002026-04-23T02:51:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-actually-we-want-first--n--where-quantum-time-is-strictly-less--which-is--n--1--10028652026-03-15T16:32:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-are-the-others-repeated-no--all-fractions-are-distinct-30773042026-04-23T03:05:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-total-data-compute-sum-over-all-particles-95705502026-04-23T03:09:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-colony-doubling-day-10-a-production-trigger-the-problem-says-starting-with-4-bioreactors-and-doubling-every-10-days--likely-a-timeline-event-92889302026-04-23T03:10:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-crew-is-6-vs-3--double--so-perhaps-per-bioreactor-output-doubles-78432892026-04-23T03:10:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-manual-step-by-step-gave-47752212026-04-23T03:10:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-ithow-many-americans-actually-make-over-100k-annual-income-85514982026-04-23T03:13:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-maximum-no-unbounded-above-57073382026-04-23T03:19:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-check-can--gx--1--yes-when--78036472026-04-23T03:19:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--u--gx--so-this-is-a-functional-equation-79284922026-04-23T03:19:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-initial-examples-all-are-integers-67682532026-04-23T03:27:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-might-not-believe-whats-inside-this-power-bi-email-subscription-41419872026-04-23T03:51:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-question-is-after-how-many-months-does-the-total-cost-of-plan-b-become-greater-than-plan-a-assuming-both-are-paid-monthly-and-no-initial-fee-88565392026-04-23T03:53:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-100--180-so-second-is-more-expensive-from-start-99011612026-04-23T03:53:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-accept-solution-from-standard-method-21110582026-04-23T03:53:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-olympiad-such-error-unlikely-67939822026-04-24T18:26:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-based-on-given-no-solution-but-suppose-we-proceed-with-exact-expression-88266452026-04-24T18:26:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-absence-we-output-with-correct-math-86990752026-04-24T18:26:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-another-useful-identity-in-any-triangle-90958772026-04-24T18:27:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-reconsider-is-there-a-known-identity-95779472026-04-24T18:27:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-larger-common-divisor-the-gcd-of-all-such-products-must-divide-24-and-be-a-factor-common-to-all-42686802026-04-23T04:11:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-answer-not-integer--problem-must-have-integer-solution-4163482026-03-15T17:47:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-prompt-assume-a-valid-version-50100952026-03-15T17:48:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-88-of-45-is-exactly-396--so-perhaps-the-problem-assumes-exact-decimal-but-number-of-valid-measurements-must-be-integer-1899492026-04-23T04:13:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--x--must-be-integer-contradiction-16336342026-04-23T04:13:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-olympiad-style-approximation-without-complex-units-58540002026-04-23T04:23:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-after-careful-thought-a-more-consistent-version-8524952026-04-23T04:23:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-a-quadratic-has-only-one-vertex-so-cannot-have-max-at-1-and-min-at--2-11818402026-04-23T04:23:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-compute-decimal-or-leave-as-reduced-its-already-simplified-99384132026-04-23T04:24:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-also-3200-no-what-about-3110-invalid-because-of-zero-3272492026-04-23T04:24:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-3110--sum5-but-one-zero--not-allowed-48646882026-04-23T04:24:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-infection-count-is-total-infected-not-active-6312032026-04-23T04:25:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-each-day-10-people-are-vaccinated-removed-from-future-infections-not-current-72111482026-04-24T18:35:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-simplicity-and-alignment-with-format-assume-10182812026-04-24T18:35:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-ignore-the-156-and-142-as-distractors-no-87336752026-04-23T04:26:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-better-to-write-as-improper-fraction-31616192026-04-23T04:30:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-whats-radar-stocktwits-hiding-breaking-down-the-louder-voices-on-the-platform-91688902026-04-23T04:36:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-triple-with-three-distinct-343-no-47408842026-04-23T04:37:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-consider-the-algebraic-simplification-before-substitution-we-had-26341892026-04-23T04:38:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-are-to-report-a-finite-value-under-the-assumption-that-the-original-equation-holds-the-only-possibility-is--y--0--and-the-expression-becomes-96100772026-04-23T04:38:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-due-to-packing-and-disjointness-constraints-we-cannot-achieve-this-93928492026-04-24T18:39:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-due-to-the-disjointness-centers-must-be-at-least-2-meters-apart-23933282026-04-24T18:39:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-using-standard-simplification-from-geometric-identities-85879802026-04-24T18:41:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-after-verification-the-correct-and-simplified-known-ratio-is-35033052026-04-23T04:52:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-after-consulting-known-problems-the-intended-answer-is-often-39781712026-04-23T04:52:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-standard-olympiad-solutions-the-ratio-is-often-simplified-to-a-boxed-expression-5889412026-04-23T04:52:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--fa--b--c--fa--fb--fc--so-20227142026-04-23T05:04:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-sample-problems-answers-are-unique-19815852026-04-23T05:05:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-lets-recompute--is-there-a-standard-way-no-but-perhaps-the-problem-has-a-typo-or-perhaps-we-are-to-find-the-magnitude-97887572026-04-23T05:05:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-whats-hiding-behind-the-rockstar-gaming-stock-surge-expert-analysis-inside-41624162026-03-15T18:45:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-world-it-would-be-rounded-for-math-problem-assume-exact-computation-and-round-final-answer-74254432026-03-15T18:51:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-105-is-exactly-halfway--in-many-contexts-rounds-to-11-48527262026-03-15T18:51:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-195-is-odd-so-half-is-975--impossible-34315722026-03-15T18:51:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-correctness-and-since-the-angle-may-be-a-narrative-device-we-output-solutions-36483052026-04-23T05:28:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-write-as-reduced-fraction-verify-77383902026-04-24T18:52:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-this-case-16-and-17-are-close-so-near-uniform-92915852026-04-24T18:52:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-correct-the-earlier-mistake-the-class-sizes-are-not-symmetric-so-we-cannot-use-binomial-symmetry-but-our-enumeration-is-exact-18852402026-04-24T18:51:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-exact-calculation-with-full-precision-71835582026-04-23T05:37:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-context-user-count-can-be-modeled-continuously-however-standard-is-to-round-to-nearest-integer-51422512026-04-23T05:37:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-4525-is-exactly-halfway--convention-rounds-up-85737432026-04-23T05:37:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-educational-contexts-sometimes-kept-fractional-88785152026-04-23T05:37:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-4525-is-not-exactly-halfway-4525-is-exactly-halfway-between-452-and-453-25291232026-04-23T05:37:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-cell-count-should-be-integer-so-round-down-at-end-31715922026-04-23T05:37:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-among-the-consonants-there-are-duplicates-n-3-g-2-r-1-the-vowel-block-is-treated-as-one-unit-13364482026-04-23T05:39:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-youve-been-missing-the-school-status-what-this-means-for-students--parents-92692962026-04-23T05:39:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiad-problems-such-trick-questions-exist-however-for-consistency-perhaps-the-intended-number-is--2025--but-it-says-2024-50943252026-04-24T18:54:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-written-no-such--n--however-for-the-sake-of-a-constructive-problem-suppose-the-ending-was--0000--but-not-helpful-37602842026-04-24T18:54:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-2025-is-odd-so--n--must-be-odd-46913792026-04-24T18:54:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1600-is-the-only-perfect-square-in-the-ballpark-and-historically-closer-17673272026-03-15T19:21:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-it-also-says-operational-time-this-month-is-15-times-longer-however-per-day-is-emphasized-suggesting-rate-context-27594972026-03-15T19:42:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-area-per-day-intrinsic-or-operational-the-increase-is-due-to-both-faster-data-collection-and-longer-time-so-21646292026-03-15T19:42:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-330-which-interpretation-88241462026-04-23T06:06:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-assuming-a-typo-and-suppose-it-is-critical-then-only-way-is-evaluate-sign-change-2405912026-03-15T19:42:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-are--10--and---10--generated-no-so-total-57751752026-04-23T06:08:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-compute--x5--362--100--so-stop-82029542026-04-23T06:08:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-olympiad-perhaps-they-expect-solving-the-quadratic-45730672026-04-23T06:10:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-440-is-given--maybe-its-a-trick-17405112026-04-23T06:10:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-integer-olympiad-likely-typo--but-to-proceed-perhaps-the-intended-answer-is-n--20-but-sum-is-420-30450252026-04-23T06:10:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-440-is-not-of-the-form-nn1-for-integer-n--44174092026-04-23T06:10:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-the-problem-is-different-88796222026-04-23T06:11:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from--dx--2a-x--a--b--and--d2024--1--we-need--d2025--2a2025--a--b--express-in-terms-of-knowns-92267512026-04-23T06:19:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-manipulate-the-equation-algebraically-7717732026-04-23T06:20:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-youll-hate-how-smash-carts-madness-unfoldswatch-inside-87702632026-04-23T06:24:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-number-of-functions-multinomial-coefficient-89168582026-04-23T06:34:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-each-the-birds-are-assigned-to-fixed-zones-so-total-for--a1--56-59694592026-04-23T06:34:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-24-is-achieved-so-24-is-the-largest-such-integer-41649192026-04-23T06:37:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-accept-closest-however-re-solve-12839232026-03-15T20:17:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-sake-of-format-accept-approximate-34426992026-04-24T19:08:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-solution-show-steps-and-box-the-exact-solution-as-per-formula-even-if-not-integer-but-not-realistic-83601122026-04-24T19:08:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-is-to-generate-new-questions-so-i-can-design-a-solvable-one-48925272026-04-24T19:08:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-response-ill-use-a-different-question-69022082026-04-23T06:39:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busting-myths-download-any-song-on-soundcloud-without-falling-off-track-53418722026-04-24T19:08:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-waitthis-sql-case-syntax-trick-will-blow-your-queries-away-34417272026-04-23T06:53:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-purpose-of-this-task-and-since-the-format-requires-a-clean-answer-perhaps-the-intended-value-is-124-so-n8-5774342026-04-24T19:11:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-olympiad-problems-rarely-have-non-integer-answers-4028952026-04-24T19:11:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-based-on-phrasing-2-motion-related-m-v--this-means-m-and-v-are-distinct-so-total-items-all-6-are-distinct-the-mention-of-categories-is-descriptive-not-indicating-indistinguishability-however-the-instruction-says-assuming-datasets-of-same-type-are-indistinguishable-but-here-since-each-parameter-is-used-once-and-they-are-distinct-labels-they-are-distinguishable-4564872026-04-23T06:57:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-a-better-interpretation-perhaps-the-educator-records-the-value-type-and-within-a-type-values-are-indistinct--but-here-each-value-is-used-once-and-even-m-and-v-are-different-64860172026-04-23T06:57:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-check-if-the-problem-says-indistinguishable-as-a-general-rule-but-here-they-are-not-52277272026-04-23T06:57:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-look-for-similar-problems-in-combinatorics-if-you-have-labeled-items-permutations-are-full-factorial-99813702026-04-23T06:57:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-48-is-not-congruent-with-difficulty-87135352026-04-23T06:57:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-biologist-records-a-2d-array--so-48-entries-72997512026-04-24T19:12:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-instead-assume-the-biologist-records-a-full-dataset-and-wants-to-know-how-many-possible-expression-profiles--but-no-26014012026-04-24T19:12:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-calculation-for-comparisons-was-105--maybe-another-question-72757042026-04-23T06:57:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-honoring-the-instruction-strictly-with-five-unique-clickbait-friendly-seo-optimized-headlines-36742122026-04-23T07:12:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-the-question-means-total-energy-over-2-hours-68979062026-04-23T07:13:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-type-a-is-doubling-every-3-hours--faster-growth-16122542026-04-23T07:16:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-after-how-many-hours--perhaps-the-first-time-it-exceeds--which-is-at-t--0-but-not-discrete-62368462026-04-23T07:16:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-discrete-modeling-perhaps-they-want-the-first-hour-when-a--b-in-the-next-cycle-21749382026-04-23T07:16:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-there-a-larger-prime-that-divides-363-73525202026-04-23T07:25:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-a-layer-has-no-paths-its-size-is-0-so-the-tuple-of-sizes-sorted-non-decreasingly-is-a-partition-of-5-into-at-most-3-positive-parts-with-an-extra-0-placed-appropriately-67079932026-04-23T07:34:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-because-the-labels-are-gone-the-distinct-types-are-the-multisets-like--500---410---320---311---221--29495252026-04-23T07:34:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-guess-how-easy-it-is-to-subtract-dates-in-excel-8305972026-04-23T07:34:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-210-is-sum--perhaps-error-in-problem-wait-76718082026-04-24T19:22:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-success-starts-here-discover-the-high-performance-surface-everyones-talking-about-15374882026-04-24T19:22:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-reconsider-perhaps-the-model-is-only-valid-on-a-closed-interval-or-we-made-a-sign-error-65807502026-03-15T21:23:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-laptops-just-got-smartercheck-out-the-surface-laptop-6-that-dominated-the-market-56893632026-03-15T21:24:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-assuming-possible-error-compute-one-sided-however-based-on-strict-limit-94367472026-04-23T07:43:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-initial-examples-no-decimal-in-final-answer-for-number-of-people-70854742026-04-23T07:50:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-task-and-since-the-instruction-is-to-output-we-proceed-with-the-math-54220232026-04-23T07:50:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-first-example--100--integer-57035442026-04-24T19:25:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-the-anthropologist-might-report-an-average-so-we-box-756-not-ideal-91253792026-04-24T19:25:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-proceed-with-the-calculation-as-per-math-and-since-the-initial-examples-are-not-consulted-on-this-but-all-have-integers-i-will-change-the-percentage-to-make-it-work-4395212026-04-24T19:25:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-final-answer-we-can-write-it-as-756-but-the-box-expects-a-number-48603692026-04-24T19:25:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-context-likely-a-consistent-system-51911462026-04-23T07:55:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-olympiad-perhaps-the-intended-condition-is-compatible-77939932026-04-23T07:55:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-a-valid-problem-perhaps-the-intended-dot-product-condition-is-different-26255832026-04-23T07:55:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-above-logic-failed--recalculate-46854032026-04-23T08:04:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-march-1-is-day-1-no--march-1-is-not-day-1--if-day-1-is-january-1-then-day-31--march-1-76976292026-04-23T08:04:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1395-is-close-wait--is-there-an-exact-fraction-85755612026-04-23T08:15:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-expects-numerical-value-13043152026-04-23T08:15:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-practical-purposes-the-annual-decay-is-approximately-135-30861822026-04-23T08:15:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-numerical-answer-in-context-likely-expects-135-or-135-54103652026-04-23T08:15:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-purpose-use-the-exact-expression-or-approximate-94398582026-04-23T08:15:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-format-previous-answers-are-numerical-37608832026-04-23T08:15:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiad-problems-sometimes-such-inconsistencies-test-precision-97497642026-04-23T08:22:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-what-is-this-tiny-times-sign-scientists-say-its-game-changing-9924072026-04-23T08:26:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-problem-is-correctly-designed-and-recompute-93660542026-04-23T08:28:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-a-mistake-in-assumption-15753652026-04-23T08:28:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-completing-the-task-assume-a-corrected-version-74990422026-04-23T08:28:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-3264-is-not-integer-contradiction-66482802026-04-23T08:31:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-we-assume-exact-values-12253492026-04-23T08:31:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-problems-rates-are-chosen-to-give-integer-results-63507102026-04-23T08:31:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-practice-math-olympiad-problems-ensure-solvability-75663952026-04-23T08:31:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-purpose-of-this-exercise-lets-choose-a-corrected-version-95034222026-04-23T08:31:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-68-is-specified-so-perhaps-not-87879942026-04-23T08:31:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-11-mod-9--2-not-8-contradiction-71932802026-04-23T08:40:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--98--89--so-the-larger-one-is--98--22245032026-04-23T08:40:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-y--2-intersects-the-curve-in-two-regions-99660362026-04-23T08:47:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-format-perhaps-the-problem-is-designed-with--n10--but-its-incorrect-87572682026-04-24T19:43:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-says-output-only-the-generated-question-and-solution-so-i-must-provide-a-solution-52022832026-04-24T19:43:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-1200-is-likely-a-typo-or-accept-the-quadratic-solution-88644622026-04-23T08:59:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-exact-math-no-integer-solution-76690072026-04-23T08:59:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-given-the-format-likely-expects-solving-the-quadratic-and-taking-ceiling-or-floor-88249952026-04-23T08:59:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-educational-context-perhaps-they-expect-the-quadratic-solution-as-is-6851682026-04-23T09:00:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-perhaps-i-made-a-mistake-in-setup-33709382026-04-23T08:59:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-text-i-said-1150-then-said-1260--thats-wrong-74542912026-04-23T09:00:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-problem-allows-the-quadratic-and-wants-the-exact-solution-but-number-of-terms-must-be-integer-so-closest-is-20-or-21-72506962026-04-23T09:00:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-i-must-generate-a-valid-question-8050552026-04-23T09:00:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-accuracy-lets-use-a-sum-that-is-achieved-21539082026-04-23T09:00:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-task-ill-use-the-calculation-with-1200-accept-the-n20465-but-since-its-number-of-widgets-perhaps-the-answer-is-20-but-sum-not-1200-7970872026-04-23T09:00:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-proceed-with-a-corrected-version-95970162026-04-23T09:00:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-a-right-triangle-there-is-a-known-identity-1911352026-04-23T09:02:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-answer-in-box-should-be-exact-69237112026-04-24T19:44:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-prior-examples-answers-are-integers-so-reconsider-28064282026-04-24T19:44:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-initial-examples-all-are-integers-so-perhaps-design-a-different-question-58946162026-04-23T09:04:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-double-check-with-finite-differences-79968762026-04-23T09:11:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-92-accuracy-on-500-is-460-correct-scenario-has-320-real-events-62813872026-04-24T19:49:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-owners-are-hitting-500-streams-weekly-with-untappdheres-how-7944442026-04-23T09:19:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-of-algebraic-complexity-use-a-standard-result-in-a-right-triangle-56581832026-04-23T09:29:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instead-recall-a-known-identity-49935412026-04-23T09:29:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-discriminant-negative-that-cant-be-re-express-16580352026-04-24T19:52:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-discriminant-negative--contradiction-57194722026-04-24T19:52:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-problem-is-correct--perhaps-i-made-algebra-error-45662002026-04-24T19:52:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but--3n--is-even-if-and-only-if--n--is-even-7639042026-04-24T19:54:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-keeping-clean-clickbait-style-seo-friendly-titles-with-strong-hook-95506892026-04-23T09:45:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-olympiad-context-expect-exact-answer-6455912026-04-23T09:47:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-of-dollar-or-real-world-perhaps-no-solution-92243562026-04-23T09:47:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-purpose-of-the-competition-the-exact-fraction-is-acceptable-the-final-value-simplifies-to-25967302026-04-23T09:52:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-can-we-exceed-300-no--daily-production-is-capped-at-120--150--180--450-but-order-is-only-300-and-constraints-require-at-least-50-of-each-2001862026-04-23T09:54:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-is-300-the-maximum-possible-under-all-constraints-yes--because-the-order-is-300-and-we-cannot-exceed-daily-production-capacity-beyond-that-without-shortage-since-we-are-producing-exactly-300-units-and-that-is-within-production-and-order-its-the-maximum-96259612026-04-23T09:54:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-simplicity-in-discrete-steps-interpret-as-the-growth-factor-becomes-2-every-2-days-ie-the-function-becomes-exponential-with-doubling-period-2-days-58421062026-04-23T09:54:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-n-must-be-integer-and-problem-likely-expects-exact-form-89993622026-04-23T09:54:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-doubling-every-two-days-implies-that-for-every-two-days-starting-from-day-4-count-doubles-53993282026-04-23T09:54:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-since-two-parts-but-final-box-likely-total-76531292026-04-23T09:54:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-question-must-have-single-boxed-answer-42921622026-04-23T09:54:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-once-you-try-vizio-smart-cast-youll-wish-you-upgraded-your-tv-today-9671062026-04-24T19:57:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-current-is-45--40-so-80-kg-already-exceeds-the-target-concentration-87909032026-04-23T10:10:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-context-soil-scientists-may-want-to-lower-sand-content--so-better-to-add-finer-or-clay-13869472026-04-23T10:10:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-spirit-of-the-task-lets-assume-the-target-is-50-sand--and-40-is-a-typo-36385762026-04-23T10:10:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-math-olympiad-exact-form-or-rounded-use-calculator-value-6911422026-04-24T20:04:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-current-samples-use-exact-or-integer-here-7324-is-approximate-but-lets-keep-precise-61780882026-04-24T20:04:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-compute-numerical-value-as-per-technology-33632132026-04-24T20:04:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-box-use-decimal-to-two-significant-figures-no-15-is-exact-60-and-50-possibly-57625152026-04-24T20:04:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-did-you-know-westrock-coffee-stock-could-doubles-in-value-find-out-how-96808832026-04-23T10:19:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businesses-are-using-erp-nowbut-do-you-know-what-it-truly-stands-for-31336062026-04-23T10:21:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-we-thought-376-but-1-is-smaller-41298282026-04-24T20:09:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-reasoning-suggested-376-however-1-satisfies-the-condition-35315042026-04-24T20:09:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-competition-contexts-sometimes-only-nontrivial-solutions-are-considered-43463762026-04-24T20:09:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-problem-allows-it-42597342026-04-24T20:09:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-sequence-is-increasing-take-first-82592662026-04-23T10:46:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-since-the-system-has-two-solutions-but-problem-says-the-value-perhaps-symmetric-58865222026-04-23T10:46:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-boxed-answer-should-reflect-solving-99447702026-04-23T10:46:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-present-both-but-format-expects-one-answer-19656862026-04-23T10:46:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-instruction-single-final-answer-92410502026-04-23T10:46:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-format-guide-to-single-boxed-expression-84771442026-04-23T10:46:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-since-the-sequence-is-determined-up-to-order-but-the-pair-is-uniquely-determined-by-the-system--two-solutions-2220582026-04-23T10:46:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-format-one-boxed-answer-with-both-80504732026-04-23T10:46:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-brevity-and-clarity-we-choose-one-orientation-14813042026-04-23T10:46:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-format-we-box-a-single-expression-representing-the-solution-set-52616422026-04-23T10:46:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-you-wont-believe-where-to-find-the-windows-10-product-keyyoure-about-to-discover-it-20879612026-04-23T10:56:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-arithmetic-sequences-must-have-integer-n-60802742026-04-24T20:14:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-lets-assume-the-model-is-valid-over-a-domain-and-we-seek-the-vertex-to-understand-turning-point-20750602026-04-23T11:06:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-exact-boxed-answer-use-precise-value-or-round-competition-often-accepts-exact-or-clean-decimal-20298762026-04-23T11:06:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-to-box-exact-expression-or-compute-60130172026-04-23T11:06:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-treat-the-equation-as-an-identity-in--a--and--b--comparing-both-sides-13144822026-04-23T11:10:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-its-for-a-specific--a---b--is-not-constrained-6305682026-04-23T11:10:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if--a--0--then--b--is-arbitrary-85796942026-04-23T11:10:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-as-written-the-only-logical-conclusion-is-that--a--0--and--b--is-arbitrary-but-since-the-question-expects-a-boxed-answer-and-in-olympiad-problems-sometimes-such-equations-imply-identities-61965282026-04-23T11:10:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-of-the-other-questions-maybe-its-a-linear-equation-69472072026-04-24T20:17:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-it-holds-for-some--a--then--a--0--and--b--arbitrary-63319432026-04-24T20:17:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if--a--1---b--2--but-arbitrary-88500502026-04-24T20:17:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-15606-is-close-to-156-not-integer-51402442026-04-23T11:11:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-the-context-maybe-the-answer-is-not-integer-but-unlikely-45237502026-04-23T11:11:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-accept-rounding-no-56530322026-04-23T11:14:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-11466-implies-1147-if-fractional-is-allowed-as-average-climate-data-uses-averages-95076612026-04-23T11:14:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-11466-is-not-integer--accept-as-is-no--number-of-flowers-must-be-integer-52620402026-04-23T11:14:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-11466-is-the-expected-number--so-report-1147-78025902026-04-23T11:14:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-real-terms-average-number-of-successfully-pollinated-flowers-is-11466-so-expected-value-is-11466-79270942026-04-24T20:18:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-better-use-the-exact-calculation-and-box-11466-but-format-is-integer-76694542026-04-24T20:18:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-exact-we-can-keep-as-fraction-or-decimal-since-others-use-decimal-83545662026-04-23T11:17:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-final-boxed-answer-as-numerical-54054362026-03-16T01:12:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-from-earlier-substitution-we-know-this-surface-satisfies-61053772026-04-23T11:28:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-could-all-be-exactly-40-no-because-mean-is-63-so-at-least-one-40-81868492026-04-24T20:22:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-competition-problems-such-systems-often-yield-unique-solutions-in-range-or-intent-is-to-find-the-smallest-such-number-unless-specified-but-here-no-uniqueness-438332026-04-24T20:24:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-earlier-sum-formula-may-have-error-85541022026-04-24T20:26:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-perhaps-expected-answer-is-15-but-sum-is-390-58431552026-04-24T20:26:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-it-says-they-use-the-remaining-15-days--contradiction-64506922026-04-23T11:57:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-if-we-trust-the-breakdown-20--50--70-so-30-used-for-presentation-3163892026-04-23T11:58:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-consistency-with-structure-assume-the-breakdown-is-69570672026-04-23T11:58:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-trust-use-the-computation-from-the-split-12976832026-04-23T11:58:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-for-the-sake-of-the-problem-perhaps-50-build-means-50-of-the-non-research-time-7361752026-04-24T20:30:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-155-is-exact-try-factoring-no-simple-root-2893352026-04-24T20:30:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-in-context-likely-accept-exact-expression-no--previous-problems-are-numeric-32505982026-04-23T12:10:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/but-85-is-high--maybe-model-is-flawed-but-mathematically-56564272026-04-23T12:10:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businesses-cant-afford-downtime--discover-zero-downtime-migration-secrets-now-42721482026-04-23T12:20:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussin-with-the-boys-leaving-barstool-8905312026-04-24T20:40:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussin-with-the-boys-23935982026-04-23T12:50:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-accounts-36902782026-04-24T20:50:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-report-33642752026-04-24T20:50:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-startup-loans-84186742026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-terms-1365172026-04-24T20:51:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-20316992026-04-23T12:55:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-lending-19891552026-04-23T12:56:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-boa-24235672026-04-23T12:56:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-bank-of-america-4302942026-04-24T20:51:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internships-for-high-school-students-46152702026-04-24T20:51:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-for-small-businesses-76662302026-04-24T20:51:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-for-llc-60730012026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-53056262026-04-23T12:56:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-new-business-50461952026-04-23T12:56:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-options-86095272026-04-23T12:56:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-requirements-51312342026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-71333502026-04-24T20:52:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loc-12718672026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-business-53326882026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-equipment-loans-87148252026-04-24T20:52:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-online-22785852026-04-24T20:52:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-lenders-34434462026-04-23T13:01:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-rates-77609992026-04-24T20:53:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-loan-77038832026-04-24T20:53:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-small-business-loans-68761192026-04-23T13:01:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-to-start-with-no-money-95021462026-04-23T13:02:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-for-small-33672782026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-growth-strategies-55135442026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-financing-76870812026-04-23T13:03:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-98517382026-04-24T20:56:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-lines-of-credit-33588642026-04-23T13:04:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-start-up-loans-6000422026-04-24T20:56:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-llc-90577702026-04-23T13:04:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-requirements-93526042026-04-24T20:56:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussiness-checking-account-77126492026-04-24T20:56:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-car-loan-19494962026-04-23T13:05:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-banking-79501492026-04-23T13:05:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-payment-processing-31233192026-04-23T13:06:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-lines-18079672026-04-23T13:06:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-account-online-45939662026-04-23T13:06:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussiness-credit-cards-91671342026-04-24T20:56:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-financing-options-41550832026-04-23T13:06:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-card-credit-card-66430772026-04-23T13:07:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-unsecured-loan-32429242026-04-23T13:07:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-new-llc-49433212026-04-23T13:07:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-business-loans-97262062026-04-23T13:08:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-online-11111662026-04-24T20:57:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-usa-4484232026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-property-mortgage-14471372026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cc-69612682026-04-23T13:09:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-accounts-with-no-fees-53262372026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-balance-transfer-cards-71730892026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-fees-91983772026-04-24T20:58:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-line-4023552026-04-24T20:58:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-for-new-business-1782862026-04-23T13:12:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-1074542026-04-24T20:58:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-for-new-business-96350872026-04-24T20:58:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-funding-99812302026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-fees-40071422026-04-23T13:14:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-53634182026-04-24T21:00:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-16033882026-04-23T13:14:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cd-6569102026-04-23T13:15:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-acount-87523922026-04-23T13:15:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credits-41669172026-04-23T13:15:43+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-65054402026-04-23T13:15:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-small-business-43625532026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-for-small-business-21462742026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-for-small-business-20146422026-04-24T21:00:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-mentor-55338822026-04-24T21:00:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-llc-27870032026-04-24T21:00:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-bonus-51609852026-04-24T21:00:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-equipment-finance-74032532026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-near-me-3956632026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-small-businesses-56948162026-04-23T13:17:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-new-businesses-51732272026-04-23T13:18:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-business-66675002026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-near-me-38654922026-04-23T13:18:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-online-banking-account-68063972026-04-24T21:02:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-31960922026-04-24T21:02:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-96394482026-04-24T21:02:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-for-small-companies-89184532026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-for-startups-23137782026-04-23T13:20:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-term-loans-53000452026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-for-startups-8743042026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-online-27804102026-04-24T21:03:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-accounts-40221412026-04-24T21:04:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-and-27481832026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-growth-18548552026-04-24T21:05:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-rates-33644852026-04-24T21:05:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-for-new-business-68051092026-04-23T13:23:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-insurances-98336382026-04-23T13:24:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-no-fees-66994202026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-small-business-77780242026-04-24T21:05:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-check-56364942026-04-23T13:25:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-accounts-48321412026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-account-19863782026-04-24T21:06:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-vehicle-loans-77529462026-04-24T21:05:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-account-68164902026-04-24T21:05:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-61802292026-04-23T13:27:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-business-loan-81472672026-04-23T13:27:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businessloan-15507222026-04-24T21:06:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-score-68468692026-04-24T21:06:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-for-small-business-32655582026-04-24T21:06:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-operations-manager-45735692026-04-23T13:29:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-online-banking-19668712026-04-23T13:29:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-interest-rates-67240232026-04-24T21:06:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-small-business-43911182026-04-24T21:06:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-account-for-llc-43921552026-04-24T21:06:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-merchant-services-90425212026-04-23T13:30:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-pre-approval-72350142026-04-24T21:07:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-for-small-business-30615682026-04-24T21:07:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-debit-card-5053442026-04-24T21:07:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-equipment-financing-33416352026-04-24T21:07:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-business-credit-card-52573192026-04-23T13:34:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-unsecured-loans-49859182026-04-23T13:35:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussiness-loan-85168552026-04-23T13:35:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-card-credit-35676852026-04-23T13:37:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-for-sole-proprietor-52013602026-04-24T21:09:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussiness-credit-card-34188672026-04-24T21:09:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-card-bank-of-america-39355072026-04-23T13:38:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-for-llc-with-no-deposit-91826452026-04-23T13:39:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-secured-line-of-credit-55108362026-04-23T13:40:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-of-america-login-11141292026-04-23T13:41:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-online-checking-account-54911742026-04-23T13:42:53+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-bank-of-america-20724702026-04-23T13:42:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banks-4081112026-04-24T21:12:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-accounts-for-llc-37817512026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-offers-47226772026-04-23T13:46:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-accounts-for-small-businesses-53243442026-04-24T21:13:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-bank-of-america-55821932026-04-24T21:13:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-auto-loan-rates-44468542026-04-24T21:13:00+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-accounts-42743382026-04-24T21:13:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-unsecured-line-of-credit-3575342026-04-24T21:14:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-0-apr-71956252026-04-23T13:48:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-online-91069862026-04-23T13:50:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussiness-bank-26158542026-04-23T13:50:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-for-car-30500522026-04-23T13:50:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-online-application-48912632026-04-24T21:15:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-capital-loans-59742752026-04-24T21:15:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-sales-projection-91606812026-04-23T13:52:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-loan-98712482026-04-24T21:16:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-line-of-credit-74579842026-04-23T13:53:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-bonus-91364752026-04-23T13:55:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-how-to-make-34213082026-04-24T21:17:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-for-non-us-residents-73483062026-04-23T13:57:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-lending-loans-48718132026-04-23T13:57:12+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-business-account-89858962026-04-23T13:57:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-lenders-98244142026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-purchase-loan-2685592026-04-23T13:58:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-property-loan-72882102026-04-23T13:58:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-small-loan-59032132026-04-23T13:58:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-for-llc-26933342026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-rewards-credit-card-21353702026-04-23T14:00:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-score-range-99523112026-04-23T14:01:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-car-loan-requirements-64003632026-04-23T14:02:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-online-bank-82629402026-04-23T14:03:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-online-16027522026-04-23T14:03:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-bank-of-america-75137112026-04-23T14:03:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-resilience-plan-99707802026-04-24T21:19:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-report-check-12407822026-04-24T21:19:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-application-30066182026-04-23T14:09:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-requirements-62596472026-04-23T14:09:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-small-business-59424962026-04-23T14:10:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-mortgage-lenders-78328802026-04-23T14:10:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-small-75429632026-04-23T14:10:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-with-ein-93542192026-04-23T14:10:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-application-31249242026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-growth-strategy-48432352026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-bank-18007022026-04-24T21:20:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-bank-of-america-57280992026-04-24T21:21:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-applications-6973442026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-car-loans-52760762026-04-23T14:15:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-auto-loans-84198112026-04-23T14:17:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-comparison-28103922026-04-23T14:17:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-llc-30229732026-04-24T21:23:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-equipment-loan-95923402026-04-23T14:22:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-bank-of-america-75562582026-04-23T14:22:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-certificate-of-deposit-25099602026-04-23T14:24:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-lines-of-credit-unsecured-69628982026-04-24T21:23:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banks-accounts-70441922026-04-23T14:27:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-for-dentists-82165662026-04-23T14:29:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-vehicle-financing-31461872026-04-23T14:29:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-low-credit-60021562026-04-23T14:29:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-check-free-22046522026-04-23T14:29:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-accounts-online-10304722026-04-23T14:30:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-services-71619402026-04-23T14:30:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-debit-cards-13902872026-04-23T14:31:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussiness-bank-account-26931902026-04-23T14:32:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-open-online-48857492026-04-23T14:32:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-free-40729502026-04-23T14:32:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-card-debit-13387762026-04-23T14:34:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-lines-72941462026-04-23T14:34:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-planning-business-64644342026-04-24T21:26:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-online-bank-account-86732932026-04-24T21:26:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-secured-loans-71123382026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-loans-87189612026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-score-free-37944132026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-for-new-business-30762542026-04-23T14:38:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-for-small-businesses-61862502026-04-24T21:28:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-credit-19447882026-04-23T14:40:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-for-small-business-80098912026-04-23T14:42:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-secured-7994292026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plans-and-loans-36989482026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-dba-63553462026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-line-loan-86719202026-04-24T21:29:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-of-america-online-banking-28335882026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cash-rewards-card-49099842026-04-23T14:47:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-bofa-26718812026-04-23T14:47:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-how-to-do-98266782026-04-23T14:48:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-card-credit-cards-60759892026-04-23T14:48:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-loan-88317022026-04-24T21:30:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cds-30367202026-04-23T14:50:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-open-72577282026-04-23T14:50:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-online-44916122026-04-23T14:53:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-online-74021502026-04-23T14:53:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-vehicle-loan-99216332026-04-23T14:53:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-term-loan-83397382026-04-23T14:53:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-of-america-8738332026-04-23T14:54:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-accounts-online-36867272026-04-23T14:56:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-report-free-51285622026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cards-credit-card-135302026-04-24T21:32:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-unsecured-18639112026-04-23T14:59:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-secured-2047272026-04-24T21:32:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-writing-98826642026-04-23T15:00:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-auto-loans-without-personal-guarantee-99196732026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-score-check-45861352026-04-24T21:32:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-score-bank-of-america-1043372026-04-23T15:01:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-mentors-81014902026-04-23T15:02:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-no-fees-39498392026-04-24T21:34:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-line-of-credit-64161562026-04-23T15:04:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-bank-of-america-2926832026-04-23T15:04:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-for-small-business-70391312026-04-24T21:35:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-card-application-50071822026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-vehicle-finance-17682672026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-offers-42487082026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-banking-loan-77641742026-04-23T15:06:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-and-87492462026-04-23T15:14:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-funding-unsecured-90002262026-04-23T15:15:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-opening-5772982026-04-24T21:41:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-no-fee-checking-31570652026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-applications-25383242026-04-24T21:41:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-secured-29523212026-04-24T21:41:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-apply-83378552026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-budgeting-39184032026-04-23T15:18:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-travel-credit-cards-8905122026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-working-capital-53814622026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-unsecured-72648952026-04-23T15:19:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-write-50179592026-04-23T15:20:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-loans-63769482026-04-24T21:43:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-accounts-with-no-fees-55632602026-04-24T21:43:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-losn-94332852026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-with-no-fees-29192512026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cd-account-2008962026-04-12T08:37:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-notebook-laptop-41058812026-04-23T15:53:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-laptops-26391752026-04-24T21:56:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-with-stylists-nyt-42007662026-04-24T22:01:26+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-basic-83796992026-04-24T23:52:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-brokerage-account-64037762026-04-24T23:52:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-card-scanner-8470382026-04-24T23:52:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-case-templates-58369212026-04-24T23:52:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-57696352026-04-24T23:52:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-2025-release-wave-2-news-october-2025-9623872026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-api-99574162026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-consultant-16797982026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-dynamics-14774022026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-integration-80503742026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-news-53033332026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-pricing-75369452026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-support-30725402026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-central-training-89179592026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cloud-apps-13592942026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cycle-64493522026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cycle-graph-99249482026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-document-management-29140422026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-email-compromise-50507182026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-empire-42608502026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-erp-27796752026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-games-56026492026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-intelligence-solutions-10548462026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-intelligence-tools-47406552026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-news-today-september-12-2025-10255002026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-premium-25047892026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-process-management-45247862026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-retirement-plans-20772002026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-standard-license-46332852026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-telephone-systems-21094562026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bustracker-miami-dade-55745652026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busy-busy-login-93948022026-04-12T08:37:11+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businessman-women-56682122026-04-24T05:49:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busy-contact-5070142026-04-25T03:08:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-software-for-mac-4394302026-04-12T08:37:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-programs-for-mac-16149872026-04-12T08:37:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busycontacts-1560582026-04-25T03:16:36+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-teams-download-83224612026-04-12T08:37:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-speak-jargon-92659872026-04-24T08:02:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-murdaugh-net-worth-48786732026-04-25T03:40:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-success-quotes-80869142026-04-25T03:46:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-operations-14536462026-04-25T03:47:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-and-success-quotes-96476712026-04-24T08:44:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-motivation-quotes-22283152026-04-24T08:45:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-quotes-77126212026-04-25T03:59:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-is-business-quotes-22430802026-04-24T09:01:23+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-poindexter-56772392026-04-12T08:37:13+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-brown-shoes-49239312026-04-25T04:11:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-category-classification-methods-2409662026-04-25T04:26:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-motivational-quotes-41158672026-04-25T04:32:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-inspirational-quotes-58786882026-04-25T04:37:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-data-technology-language-integration-89405642026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-college-student-earns-cash-24471012026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-capability-framework-medium-57837242026-04-25T04:45:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-grants-74963392026-04-25T04:45:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-calculator-77869852026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-starter-45925212026-04-25T04:47:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-management-software-26023192026-04-25T04:47:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-14656402026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-lending-rates-61150772026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-accounts-compared-84607992026-04-25T04:50:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-owners-policy-9045032026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-saving-account-83760972026-04-25T04:52:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-interest-rate-average-91861162026-04-25T04:52:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-account-rates-37866252026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-and-interest-rates-52345992026-04-25T04:52:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businesscreditcards-35378612026-04-25T04:52:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-cash-rewards-49214382026-04-25T04:54:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-repayment-calculator-8598962026-04-25T04:54:45+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-fast-loans-14723912026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-for-new-businesses-64786572026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-accounts-best-24915212026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-money-market-rates-6349612026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-no-ein-ssn-itin-59187562026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-software-84889702026-04-25T04:55:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-comparison-91936062026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-insurance-cost-77534252026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-balance-transfer-26754012026-04-25T04:57:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-vs-first-47372032026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-fast-44613052026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-no-credit-check-37643112026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-with-no-personal-guarantee-46492982026-04-25T04:57:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-comparison-54388842026-04-25T04:59:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-with-cash-back-19464112026-04-25T04:59:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-high-yield-savings-account-59465532026-04-25T04:59:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-visa-credit-card-783662026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-startup-12696152026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-with-no-fees-48886112026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-vs-first-class-78675552026-04-25T05:00:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-no-fees-4281152026-04-25T05:01:34+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-costs-52223652026-04-25T05:03:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-startup-companies-99102692026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bookkeeping-86292372026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bookkeeper-70426632026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-model-16248932026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-class-flight-64899612026-04-25T05:08:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-offers-74023662026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-buy-a-50538832026-04-25T05:11:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-gas-cards-28769382026-04-25T05:11:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-balance-transfer-credit-card-91834572026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-ideas-in-small-cities-54372872026-04-25T05:11:51+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-34353232026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-hazard-insurance-22523242026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-promotions-13703342026-04-25T05:16:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-bad-credit-43168042026-04-25T05:16:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-with-rewards-49109362026-04-25T05:16:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-insurance-for-consultants-58578622026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-ein-number-4687142026-04-25T05:17:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-outline-42122642026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-interest-46494942026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-travel-rewards-credit-card-48247682026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-high-yield-savings-accounts-42866652026-04-25T05:19:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-with-best-corporate-perks-26541972026-04-25T05:19:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-startup-55641012026-04-25T05:20:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-sign-up-bonus-8734802026-04-25T05:20:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-without-personal-credit-check-62953222026-04-25T05:20:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-for-startups-23786242026-04-25T05:20:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-affect-personal-credit-83986192026-04-25T05:20:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-nerdwallet-99590202026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-lines-for-startups-48174472026-04-25T05:21:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-small-businesses-85683712026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-rewards-cards-65527762026-04-25T05:21:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-vs-loan-43942282026-04-25T05:21:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-for-balance-transfer-72838452026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-ideas-for-teens-95522312026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-no-credit-check-73888592026-04-25T05:23:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-scoring-19671842026-04-25T05:24:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-without-a-personal-guarantee-60308002026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-interest-rates-40578602026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-fees-27955432026-04-25T05:25:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-rates-15711792026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-accounts-high-interest-50237902026-04-25T05:27:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-with-no-annual-fee-3987382026-04-25T05:27:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-insurance-comparison-31294752026-04-25T05:27:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-gas-credit-card-12297032026-04-25T05:27:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-with-best-rewards-93737542026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-no-personal-guarantee-required-55270742026-04-25T05:28:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-poor-credit-61087652026-04-25T05:28:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businesses-credit-card-47733572026-04-25T05:28:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-rewards-35928802026-04-25T05:28:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-best-53581892026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-line-startup-17932572026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-account-high-yield-57709682026-04-25T05:30:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-fair-credit-56694662026-04-25T05:31:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-gold-52815222026-04-25T05:31:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-ideas-for-small-towns-31965682026-04-25T05:31:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-best-85842222026-04-25T05:31:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-balance-transfer-credit-cards-36456002026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-with-cashback-32657592026-04-25T05:32:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-llc-39422012026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-best-rewards-28939462026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-for-freelancers-76661662026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-charge-card-77546352026-04-25T05:32:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-deals-67638522026-04-25T05:34:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-secured-credit-cards-36343442026-04-25T05:35:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-balance-transfer-14071122026-04-25T05:35:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-fair-credit-99969712026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-rewards-50341242026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-interest-rate-17860882026-04-25T05:36:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-options-75768992026-04-25T05:36:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-0-balance-transfer-52835212026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cash-rewards-credit-cards-16993162026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-without-personal-guarantee-99922852026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-for-sole-proprietor-86423232026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-rate-5419972026-04-25T05:36:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-with-no-personal-guarantee-8152732026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-with-interest-99683872026-04-25T05:37:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-comparison-87778632026-04-25T05:37:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-without-personal-guarantee-99067632026-04-25T05:37:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-travel-cards-41519702026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-free-19473902026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-no-doc-loans-27671092026-04-25T05:38:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-bad-25517122026-04-25T05:39:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-new-business-30824642026-04-25T05:40:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-money-market-48841872026-04-25T05:40:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-interest-rates-today-34907542026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-calculator-16311422026-04-25T05:41:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-finance-rates-30019722026-04-25T05:41:33+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-gas-credit-cards-77959652026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-money-market-savings-account-2904122026-04-25T05:41:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-high-yield-savings-98384082026-04-25T05:42:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cd-rates-90704532026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-rates-47945032026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-grants-for-women-owned-businesses-99886762026-04-25T05:43:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-fuel-cards-82593602026-04-25T05:43:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-transaction-account-comparison-82507702026-04-25T05:44:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-secured-credit-card-45395252026-04-25T05:44:29+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-with-0-apr-928722026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-with-bad-credit-history-5690672026-04-25T05:44:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-percentage-rate-8501702026-04-25T05:44:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-no-credit-check-69595012026-04-25T05:46:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-platinum-card-20899742026-04-25T05:46:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-without-credit-check-12851022026-04-25T05:46:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-best-87374272026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-rewards-credit-cards-39942142026-04-25T05:46:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-with-bad-credit-36170362026-04-25T05:46:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-prepaid-card-34669032026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-online-savings-50392672026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-no-annual-fee-24005402026-04-25T05:48:10+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-comparison-53265852026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-estimator-38249062026-04-25T05:48:32+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-with-balance-transfer-36126222026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-grants-for-small-business-85783992026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-travel-credit-card-42951712026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-with-balance-transfer-49267392026-04-25T05:49:35+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-compare-8743462026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-no-documents-41811922026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cash-back-cards-17736832026-04-25T05:50:52+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-grants-for-black-women-22481612026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-prepaid-cards-36965072026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-with-rewards-9858772026-04-25T05:51:08+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-for-startup-businesses-46560192026-04-25T05:52:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-rates-today-23373592026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-bad-credit-71385732026-04-25T05:52:28+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cash-back-credit-card-62401252026-04-25T05:52:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-interest-rates-24975952026-04-25T05:52:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-interest-rate-76510132026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-cash-back-67961912026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-no-personal-guarantee-55375782026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cashback-credit-card-38083312026-04-25T05:54:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-short-term-26483472026-04-25T05:55:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-account-high-interest-39873822026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-no-annual-fee-4277192026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-cash-back-97675762026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-without-personal-guarantee-13366702026-04-25T05:59:27+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cash-back-credit-cards-29921472026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-budget-9373072026-04-25T05:59:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-compared-39784402026-04-12T08:37:14+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cat-roblox-1096022026-04-25T07:14:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-extension-98032112026-04-25T07:36:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-captcha-solver-for-humans-71946792026-04-25T07:48:56+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-stepsister-19773562026-04-25T08:24:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-managment-games-16155262026-04-25T08:29:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bustling-world-98264322026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-boom-67878862026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-simulation-games-steam-10253792026-04-25T09:08:47+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-simulator-steam-85160522026-04-25T09:10:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/busty-yokai-busters-90800272026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/buster-jam-demo-89608112026-04-25T09:13:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bustafellows-85983642026-04-25T09:17:24+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-broadband-42623032026-04-25T09:57:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-number-search-90304392026-04-25T09:57:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-90984332026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-verizon-wireless-login-80946762026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-mobile-phone-67180142026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-small-system-46373682026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-number-58293992026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-landline-phone-service-94713132026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-and-phone-bundles-2386242026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-mobile-plans-77255412026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cell-phone-58727282026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-and-phone-service-28290922026-04-25T09:59:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cell-plans-31719592026-04-25T09:59:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-plans-11267062026-04-25T10:01:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cellphones-29659022026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-and-internet-bundle-25040832026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-backup-19406752026-04-25T10:03:02+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-providers-87578482026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cell-phone-plans-11704952026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cell-phone-packages-35455132026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-telephone-service-9472242026-04-25T10:04:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-line-95496502026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-wireless-internet-backup-69431042026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businessdigital-verizon-com-40644942026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-hotspot-17667512026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cable-tv-34449772026-04-25T10:07:18+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-and-phone-88048382026-04-25T10:07:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-landline-10704142026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-broadband-solutions-48287642026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cell-phones-for-small-business-89813492026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-digital-verizon-com-98058942026-04-25T10:11:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/businessdigital-verizon-com-rep-4185762026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-unlimited-plans-verizon-49762172026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-digital-voice-verizon-19028262026-04-25T10:12:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-verizon-account-84118492026-04-25T10:12:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-speed-74873982026-04-25T10:17:22+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-number-free-73757722026-04-25T10:20:25+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-mobile-phone-contracts-42466392026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-verizon-48446222026-04-25T10:26:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-digital-verizon-com-rep-15817832026-04-25T10:26:37+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-digital-verizon-24751702026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cellphone-11123842026-04-25T10:29:21+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-telephone-plans-39684192026-04-25T10:30:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cellular-917002026-04-25T10:30:50+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-mobile-deals-11009282026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-line-verizon-2332272026-04-25T10:32:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-and-internet-packages-49894962026-04-25T10:34:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-login-verizon-33070502026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-gateway3-ask-ncm1100e-18317302026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-and-internet-bundles-7847322026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-unlimited-verizon-11596342026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-unlimited-plan-verizon-92244192026-04-25T10:44:30+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plans-verizon-5696142026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-high-speed-internet-service-15301812026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cell-phones-33378482026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-plan-65821092026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cell-phone-service-56460682026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-hot-spot-32217572026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-systems-verizon-28029182026-04-12T08:37:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-plans-for-small-business-92761632026-04-25T10:49:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-verizon-20244582026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-fios-verizon-32708722026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-plan-cell-phone-74422602026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-internet-packages-71473642026-04-25T10:56:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-tech-support-14318352026-04-25T10:57:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-verizon-fios-41839222026-04-25T10:57:55+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-virginia-76540442026-04-25T11:00:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-mobile-plan-64217202026-04-25T11:04:17+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-and-internet-service-28281992026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-deals-20665772026-04-25T11:05:49+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-digital-voice-93887342026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-verizon-plans-53830602026-04-25T11:15:46+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-unlimited-plan-8184472026-04-25T11:17:06+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-mobile-phones-78152702026-04-25T11:18:20+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-verizon-70566122026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cell-phone-plan-72930002026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-phone-and-internet-plans-25739742026-04-25T11:20:03+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-internet-security-59773402026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-online-70410312026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-requirements-wells-fargo-96810472026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cd-rates-wells-fargo-50544102026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-interest-rates-89833642026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-companies-22127682026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-line-lenders-55577492026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/bussiness-checking-6262262026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-0-apr-22101232026-04-25T11:24:44+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-near-me-14429852026-04-25T11:25:59+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-online-11414932026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-for-startup-company-3278072026-04-25T11:30:01+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-lenders-21022862026-04-25T11:31:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cards-with-0-apr-23263942026-04-25T11:31:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-online-opening-10429252026-04-25T11:31:38+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-accounts-for-small-businesses-48383602026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-business-loans-72058022026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-wells-fargo-51818572026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-for-new-businesses-12281122026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-platinum-debit-card-wells-fargo-82589742026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-wells-fargo-3481012026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-application-46558982026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-for-new-business-40407192026-04-25T11:46:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-with-0-apr-94301482026-04-25T11:46:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-for-small-businesses-52771792026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-application-15457732026-04-25T11:52:39+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-startup-loan-57164742026-04-25T11:53:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-wells-fargo-customer-service-85465612026-04-25T11:53:19+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-business-77072452026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-loans-17792912026-04-25T11:53:48+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-debit-card-wells-fargo-48946092026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-cards-wells-fargo-56236272026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-near-me-13894682026-04-25T11:54:40+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-commercial-28878172026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-cd-accounts-40560302026-04-25T11:55:15+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-lending-40793822026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-new-business-33056872026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-credit-card-wells-fargo-66127152026-04-25T11:57:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-savings-account-interest-rates-78759472026-04-25T11:57:57+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-bonus-wells-fargo-97782722026-04-25T11:57:58+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-for-llc-57335532026-04-25T12:00:04+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-banks-1950662026-04-25T12:00:54+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-bank-account-wells-fargo-43573072026-04-25T12:04:31+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-acct-66293522026-04-25T12:06:09+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loans-for-starting-a-business-40463112026-04-25T12:09:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-loan-wells-fargo-43901372026-04-25T12:09:07+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-wells-fargo-96714712026-04-12T08:37:16+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-account-for-small-business-71234272026-04-25T12:10:41+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-line-of-credit-for-startup-28431522026-04-25T12:10:42+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-wells-fargo-26485132026-04-25T12:15:05+00:00daily0.8https://debug.deepundergroundpoetry.com/archive/business-checking-accounts-open-online-85193112026-04-25T12:19:17+00:00daily0.8