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has-exactly-two-solutions-in--mathbbc--7205262026-04-20T17:53:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-proceeding-with-given-function-42782172026-04-20T18:20:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-suggests-no-critical-point-however-for-minimum-consider-behavior-15714472026-04-20T18:20:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-increases-are-additive-and-the-model-assumes-multiplicative-growth-in-increment-magnitude-and-based-on-standard-interpretation-total-force--sum-of-geometric-series-54201432026-04-20T18:26:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-want-2040-cm-this-is-20-to-40-so-1020-cm-and-2030-cm-overlap-wait-4344482026-04-20T18:26:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-integrating-a-positive-function-take-absolute-value-68016522026-04-20T18:26:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-simpler-since-halves-every-20-cm-depth-2040-cm-is-one-20-cm-layer-59772102026-04-20T18:26:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-its-in-hundredths-or-signal-accept-as-is-difference--01550--0150--0250--375--5--10--370--10--370-10360360c-still-invalid-83038392026-04-20T18:44:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-math-21817992026-04-20T18:44:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-realistically-flawed-however-for-math-15899162026-04-20T18:44:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-too-long-instead-recognize-67876542026-04-20T18:44:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-impractical-instead-use-logarithmic-scale-or-accept-math-convention-31973972026-04-20T18:44:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-step-by-step-92561042026-04-20T18:44:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-too-long-accept-as-is-42658812026-04-20T18:44:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-50901872026-04-20T18:44:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-simpler-43812402026-04-20T18:44:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-feasible-for-box-instead-use-approximation-or-smarter-path-59937652026-04-20T18:44:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-request-use-72376932026-04-20T18:44:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-need-single-line-44102122026-04-20T18:44:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-subtract-or-eliminate-sequences-where-identical-nucleotides-are-adjacent-particularly-the-two-as-and-the-three-cs-or-three-gs-61439152026-04-20T18:46:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-cannot-place-all-three-cs-without-adjacency-unless-separated-by-at-least-one-non-c-4101652026-04-20T18:46:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-if-we-place-3-gs-in-5-positions-with-no-two-adjacent-is-it-even-possible-1359732026-04-20T18:47:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-already-fixed-cs-and-the-5-free-positions-are-a-subset-of-the-8-not-consecutive-21329792026-04-20T18:47:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-change-direction-use-exponential-generating-functions-with-separation-or-accept-that-this-requires-advanced-combinatorics-87822892026-04-20T18:47:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-now-the-remaining-5-positions-must-hold-2-as-and-3-gs-with-no-two-as-adjacent-and-no-two-gs-adjacent-43341952026-04-20T18:47:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-try-y--15--515--75--3x--45--x--15--p--600--900--1500-82494412026-04-20T18:56:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-how-much-additional-storage-is-needed-since-generation-far-exceeds-need-no-storage-needed--in-fact-surplus-exists-but-if-no-excess-storage-then-additional-required--0-no--re-read-how-much-additional-kwh-must-be-imported--no-import-needed-surplus-exists-but-if-the-question-implies-deficit-note-no-deficit-36759222026-04-20T18:56:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-panel-generation-is-still-available--assume-during-storm-panels-dont-work-so-need-2304-kwh-stored-but-the-model-generates-3150-requirement-2304-so-surplus-exists-but-question-says-additional-kwh-must-be-imported--but-none-needed-83408742026-04-20T18:56:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-maybe-misread-how-much-additional--implies-deficit-but-no-deficit-so-additional-imported--0-but-that-contradicts-37336022026-04-20T18:56:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-model-says-generate-350-kwh-per-sol-implying-generation-is-available-even-during-storm-unlikely-98508612026-04-20T18:56:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-must-be-imported--implying-deficit-contradiction-8446162026-04-20T18:56:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-2304-kwh-needed--so-if-storage-is-sufficient-no-import-but-if-not-need-to-import-but-no-initial-storage-specified-79740732026-04-20T18:56:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-generator-produces-energy-to-recharge-so-over-9-days-3150-kwh-generated-demand--2304-kwh-so-surplus-of-29196-kwh--not-deficit-71754052026-04-20T18:56:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-additional-is-misleading-or-perhaps-its-asking-how-much-extra-energy-would-have-been-needed-beyond-current-plans--none-15500652026-04-20T18:56:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-at-prior-problems-answers-are-numerical-so-likely-the-answer-is-2304--as-the-amount-needed-and-must-be-imported-is-a-misstatement-or-implies-the-required-input-35605002026-04-20T18:56:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-assume-calculate-the-total-energy-required-during-the-storm-which-equals-the-energy-that-must-be-stored-or-imported-since-stored-and-no-external-supply-needed-but-the-required-amount-is-2304-kwh--but-its-not-imported-3327462026-04-20T18:56:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-colony-question-how-much-additional-kwh-must-be-imported--but-in-context-if-panels-generate-350-kwhday-but-storm-has-9-sols-assume-no-generation-so-they-need-8329--2304-kwh-in-storage-since-the-system-generates-during-normal-days-but-not-during-storm-and-assuming-initial-storage-is-zero-they-must-import-2304-kwh-of-energy-76736352026-04-20T18:56:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-surplus-exists-86300272026-04-20T18:56:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-the-sum-of-the-roots-in--x--is-4-but-the-sum-of-the-roots-in--v--is--sum-xi2--not--sum-xi2--use-the-identity-7445022026-04-20T18:59:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-increases-by-22-so-gain--22-of-280--022--280--616-w-54783502026-04-20T19:43:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--u-leq-1---s-leq-1--and--s-leq-02--the-upper-limit--1---u--is-automatically-satisfied-for--u-geq-08--but-we-integrate--u--from-0-to-1-59692482026-04-20T19:44:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-multiples-of-5-give-angles-divisible-by-90-455225--divisible-by-45-but-225--90--25--no-14658382026-04-20T20:12:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-a-patent-claim-must-be-whole-and-problem-is-hypothetical-proceed-with-exact-value-as-per-math-though-not-ideal-in-context-of-calculation-we-keep-16--but-final-answer-must-be-integer-re-express-perhaps-the-40-is-of-the-novel-ones-and-40-of-4-is-16--but-in-reality-it-cant-be-but-for-math-problem-we-compute-40983052026-04-20T20:13:42+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-original-setup-may-have-issue-lets-redefine-with-consistent-numbers-56011912026-04-20T20:13:42+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-original-intent-keep-48-but-fix-71494892026-04-20T20:13:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-original-style-use-48-and-adjust-to-whole-numbers-79107982026-04-20T20:13:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-original-used-48-73317692026-04-20T20:13:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-save-time-use-the-original-and-accept-that-40-of-163-is-messy-82249382026-04-20T20:13:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-intends-9163032026-04-20T20:13:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-follow-instructions-28513922026-04-20T20:13:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-order-4--42--16-equiv--1-58301712026-04-20T20:38:08+00:00daily0.8https://www.stage.feedz.com.br/info/butt--boobs-big-asian-viewers-go-wild-with-these-unreal-sizes-50854762026-04-20T20:41:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-observe-as-v-to-1-gv---lets-test-50930032026-04-20T20:48:37+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-seek-the-maximum-value-since-gv-decreases-from-near-infinity-as-v-to-1-to-8-at-v--2-but-v--1-is-not-included-however-as-x-to-0-or-fracpi2--one-of-sin-x-or-cos-x-to-0-so-sec-x-or-csc-x-to-infty-so-fx-to-infty-60437592026-04-20T20:48:37+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--is-that-correct-52720102026-04-20T20:48:37+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-verify-at-x--fracpi4-10364352026-04-20T20:48:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-likely-expects-a-finite-maximum--perhaps-constraint-misunderstanding-83283002026-04-20T20:48:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-always-divisible-by-81--try-n--1-only-31-so-maximum-power-of-3-is-33-50203332026-04-20T21:08:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-what-about-3-cdot-5--15-we-saw-120-in-previous-problem-but-here-product-1-cdot-3-cdot-5-cdot-7--105-divisible-by-15-but-3-cdot-5--15--yes-but-3-cdot-3--9-105-not-divisible-by-9-so-9-does-not-always-divide-p-7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nswer-is-1125-but-not-realistic-86560242026-04-20T23:11:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-math-olympiad-sometimes-accepts-fractions-in-intermediate-63672952026-04-20T23:11:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-maybe-the-problem-intends-calculate-30--3--8--1125-and-round-68036192026-04-20T23:11:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-one-has-2228-simplified--fraction-to-decimal-2228--1114-but-answer-is-0785-no--previous-says-28-female-answer-0785--so-decimal-allowed-94330312026-04-20T23:11:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-1125-wolves-not-logical-49493992026-04-20T23:11:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-check-75--04--30-8065292026-04-20T23:11:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-feels-off-74767342026-04-20T23:11:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-ensure-3-high-clay-consider-if-you-pick-555--15-samples-all-non-high-clay-possible-29802562026-04-20T23:18:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-5-clay-samples-exist-the-16th-to-20th-samples-are-from-clay-but-the-question-is-minimum-to-guarantee-3-83762012026-04-20T23:18:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-minimal-number-that-guarantees-3-high-clay-samples-is-when-you-pick-enough-to-exceed-the-maximum-number-that-can-avoid-high-clay-4846882026-04-20T23:18:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-it-alternates-lanes-and-covers-full-rows-and-640-is-divisible-by-40-16-passes-are-required-regardless-3954542026-04-20T23:22:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-working-modulo-7-we-can-compute-the-sum-directly-using-cyclicity-first-find-the-pattern-of-3k-mod-7-17837982026-04-20T23:35:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-asks-for-a-two-digit-number-and-none-exists-the-correct-answer-is-that-no-such-two-digit-number-exists-16515062026-04-20T23:38:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-we-made-a-misinterpretation-lets-suppose-the-question-means-a-number-that-is-three-less-than-a-common-multiple-of--7-8-9--not-necessarily-the-lcm-31655242026-04-20T23:38:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-reconsider-perhaps-the-intended-lcm-was-miscalculated-93803892026-04-20T23:38:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-question-meant-three-less-than-a-multiple-of-7-or-8-or-9-but-that-would-be-too-weak-73711762026-04-20T23:38:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-problem-asks-for-a-two-digit-integer-and-none-exists-perhaps-the-intended-answer-is-that-no-such-number-exists-but-thats-not-typical-for-olympiads-39374502026-04-20T23:38:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-intended-modulus-was-smaller-alternatively-maybe-the-question-is-62290252026-04-20T23:39:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-suppose-the-intended-lcm-was-smaller-suppose-the-question-meant-52500462026-04-20T23:39:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-olympiad-problems-usually-have-a-solution-perhaps-we-re-express-70474112026-04-20T23:39:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-789-17893442026-04-20T23:39:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-9-27339852026-04-20T23:39:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-calculate--y--textlcm789--504--so--x--501---not-two-digit-3351012026-04-20T23:39:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-olympiad-problems-usually-have-positive-answers-perhaps-the-intended-modulus-was-smaller-70420332026-04-20T23:39:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-original-prompt-said-find-the-largest-possible-value-of-so-we-compute-53856092026-04-21T00:10:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-format-and-intentclickbait-style-with-seo-optimization-and-deep-mathematical-insight-18640882026-04-21T00:10:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-we-count-cumulative-infections-including-initial-and-model-is-geometric-56117202026-04-21T00:18:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-if-the-lensing-effect-scales-with-mass-and-inversely-proportional-to-distance-and-gives-apparent-separation--mass--distance-76654902026-04-21T00:18:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-visually-smaller-separation-should-mean-less-mass-that-contradicts-physics-30661742026-04-21T00:18:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-scales-with-mass-and-inversely-proportional-to-distance--but-if-distance-is-same-then-separation--mass-19940392026-04-21T00:18:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-what-is-the-ratio-of-the-lensing-mass-of-the-distant-cluster-to-the-nearby-one-98251732026-04-21T00:18:23+00:00daily0.8https://www.stage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/but-wait--is-that-correct-lets-verify-29584412026-04-21T12:40:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-positions-are-fixed-and-distinct-so-we-are-counting-binary-strings-of-length-5-with-no-two-consecutive-1s-let-h--1-s--0-88358152026-04-21T12:40:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-counts-classifications--each-position-gets-h-or-s-no-two-adjacent-hs-95800922026-04-21T12:40:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--no-fn2-gives-the-count-for-k1-to-klfloor-n12-rfloor-but-we-want-exactly-4-hs-no--the-problem-does-not-fix-number-of-hs-it-allows-any-number-as-long-as-no-two-are-adjacent-83799092026-04-21T12:40:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--this-contradicts-earlier-recurrence-no--our-earlier-computation-was-for-fixed-number-of-as-but-here-we-are-not-fixing-count-3051172026-04-21T12:41:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-cross-check-with-inclusion-3629842026-04-21T12:41:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-standardly-minute-hand-1-rotation-per-60-minutes--24-rotations-per-day-720-is-30-days-so-perhaps-its-not-standard-time--or-more-likely-misinterpretation-13583442026-04-21T12:49:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-are-told-minute-gear-has-72-teeth-let-thour-be-unknown-in-standard-gearing-rotations-per-hour-28364472026-04-21T12:49:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-minute-hand-normally-does-1-rotation-per-hour--so-this-systems-minute-gear-spins-30-times-per-real-hour-80732932026-04-21T12:49:28+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-ratio-we-cannot-proceed-unless-assuming-the-720-is-consistent-28858112026-04-21T12:49:28+00:00daily0.8https://www.stage.feedz.com.br/info/but-standard-minute-gear-should-be-1-so-discrepancy-8767822026-04-21T12:49:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-then-if-minute-hand-completes-720-rotations-in-24-hours-it-turns-30-times-per-hour-88994872026-04-21T12:49:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-have-two-unknowns-20133372026-04-21T12:49:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-still-stuck-98634522026-04-21T12:49:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-its-a-math-problem-and-720-is-given-perhaps-its-not-speed-but-total-tracker-cycles-or-data-points-but-for-speed-we-need-r--30-18432332026-04-21T12:49:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-thour-cannot-find-unless-assume-ratio-15510332026-04-21T12:49:43+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-only-the-lateral-faces-are-counted-in-surface-area-bases-are-internal-or-not-exposed-in-separation-only-the-6-triangular-lateral-faces-contribute-36050842026-04-21T12:52:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-dont-know-initial-instead-model-total-growth-using-trapezoidal-rule-272212026-04-21T12:53:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-r-cannot-compute-unless-baseline-is-zero-sided-30014182026-04-21T12:53:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-unrealistic-biologically-86569072026-04-21T12:53:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-b-impossible-68205952026-04-21T12:53:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-r-is-unknown-64447882026-04-21T12:53:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-improve-by-12-meaning-multiplicative-increase-in-accuracy-value-but-not-physically-capped-if-modeled-purely-mathematically-77346402026-04-21T12:53:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-realistically-cannot-exceed-100-26283952026-04-21T12:54:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-likely-expects-the-mathematical-expression-81542872026-04-21T12:54:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-for-each-prime-position-we-assign-specific-values-since-both-primes-are-2-only-1-way-86001982026-04-21T13:51:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--binom42--6--ways-to-place-the-primes--yes-40173982026-04-21T13:51:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-note-the-problem-asks-for-the-smallest-three-digit-number-divisible-by-each-of-7-11-and-13-since-their-product-is-1001--999-no-three-digit-number-satisfies-this-97338172026-04-21T14:42:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-a-misinterpretation-maybe-the-number-is-divisible-by-at-least-one-but-the-context-implies-divisible-by-the-product-given-the-constraints-no-such-three-digit-number-exists-but-rechecking-the-smallest-number-divisible-by-7-11-and-13-is-1001exceeding-three-digits-72577992026-04-21T14:42:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-reconsider-if-divisible-by-7-11-and-13-means-divisible-by-their-productwhich-is-1001so-no-three-digit-multiple-71317012026-04-21T14:42:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-the-premise-alternatively-perhaps-the-number-needs-only-to-be-divisible-by-one-of-them-but-context-suggests-common-constraint-43117692026-04-21T14:42:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-the-problem-meant-smallest-three-digit-number-divisible-by-at-least-one-thats-trivial-51978552026-04-21T14:42:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-invalid-17925802026-04-21T14:43:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-cannot-belikely-an-error-in-assumption-32676992026-04-21T14:43:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-impossibleso-likely-a-misinterpretation-11292842026-04-21T14:43:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-theres-a-well-known-problem-smallest-number-divisible-by-7-11-13-is-1001-73922082026-04-21T14:43:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-smallest-three-digit-number-divisible-by-7-by-11-and-by-13same-thing-13189942026-04-21T14:43:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-perhaps-the-intended-number-is-the-least-such-which-is-1001-but-since-its-four-digit-the-problem-may-have-a-typo-50847482026-04-21T14:43:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-cannot-be-the-intended-answer-394872026-04-21T14:43:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-and-implies-all-81431442026-04-21T14:43:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-waitperhaps-divisible-by-7-11-and-13-is-a-red-herring-but-no-24006512026-04-21T14:43:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-cannot-be-the-expected-answer-43575122026-04-21T14:43:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-comply-suppose-the-question-is-smallest-three-digit-number-divisible-by-7-and-11-but-not-13then-find-the-largest-such-but-not-and-94390352026-04-21T14:43:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-matching-57894312026-04-21T14:43:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-our-case-83712602026-04-21T14:43:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-thats-not-acceptable-in-a-competition-70010122026-04-21T14:43:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-waitthis-is-quadratic-but-the-problem-states--px--is-cubic-contradiction-not-necessarily-a--0--is-allowed-if-the-cubic-coefficient-is-zero-but-the-problem-says-cubic-implying-degree-exactly-3-so-we-must-assume-its-cubic-but-our-solution-gives--a--0--that-means-the-data-fits-a-quadratic-but-we-are-told-its-cubic-so-either-the-model-is-misclassified-or-we-must-accept-the-interpolating-polynomial-regardless-of-degree-since-the-interpolation-yields-a-unique-cubic-degree-at-most-3-and-we-found--a--0--the-polynomial-is-actually-quadratic-but-the-problem-says-cubic-so-we-must-reconsider-42827572026-04-21T14:46:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-we-misreadmaybe-the-problem-says-cubic-but-the-data-forces-lower-degree-since-the-interpolation-is-unique-and-the-values-sit-on-a-quadratic-the-answer-is-still--p0--0--4276892026-04-21T14:46:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-area-is-504-try-factoring-834372026-04-21T14:54:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-likely-expects-exact-or-rounded-14354202026-04-24T12:41:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-simplify-20715812026-04-21T14:55:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-perhaps-re-express-36680532026-04-21T14:55:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-nice-19554262026-04-21T14:55:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-we-write-47435832026-04-21T14:55:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-already-used-10-lets-replace-with-better-76960142026-04-21T14:55:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-advanced-instead-simpler-39874382026-04-21T14:55:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-where--fx--1---sin-3x-sin-x--so-minimum-of--f--is-when--sin-3x-sin-x--is-maximized-which-is--rac916--so-89656472026-04-21T14:57:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-want-minimum-not-maximum-can--fx--be-less-than-1-43640092026-04-21T14:58:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says--36--729--times-original--so-unless-additional-doubling-occurs-the-model-may-be-misstated-but-based-on-the-stated-exponential-model--pt--p0-cdot-3t--after-4-hours-68052002026-04-21T15:06:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-the-first-term-is-a-third-term-is-a--2d-and-their-sum-is-14-and-second-term-is-a--d--5-then-6726402026-04-21T15:16:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-exact-conic-type-defined-by--86502242026-04-21T15:47:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-more-accurately-let--u--h52---u--498816---917--489646---h--u25-approx-48964604--49364272026-04-21T16:29:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-counts-selections-per-row-order--since-we-are-selecting-unordered-triples-we-must-divide-by--3--6--only-if-order-doesnt-matter-however-since-we-are-selecting-positions-and-the-grid-is-fixed-each-position-is-unique-and-choosing-one-per-row-from-3-distinct-rows-gives--33--27--per-set-of-3-rows-1392982026-04-21T16:31:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-states-o-frequencies-directly-as-45-carrying-blood-type-o-73045252026-04-21T16:43:41+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-cumulative-rate-or-total-34056642026-04-21T16:43:41+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-2a--14-so-lets-double-check-the-assumption-77710202026-04-21T16:46:41+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-progression-is-real-and-the-context-suggests-positive-terms-we-reconsider-the-symmetry-instead-let-the-terms-be--a---frac3d2-a---fracd2-a--fracd2-a--frac3d2--and-we-already-have--d2--frac289a2--79522922026-04-21T16:47:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-want-improvement-only-100--36--100-366464-5977492026-04-21T16:54:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-partial-elk-dont-exist-use-exact-150--225--150-22512751275-however-in-predictive-models-fractional-values-represent-expected-values-32855952026-04-21T16:54:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-250-fit-in-a-block-so-250-transactions-are-confirmed-62543182026-04-21T16:54:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-thats-identity-so-instead-suppose-the-intended-equation-is-80248942026-04-21T17:17:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-helpful-given-the-difficulty-assume-the-original-equation-was-79390592026-04-21T17:17:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-comes-from-doubling-not-summing-correct-path-37729372026-04-21T17:17:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-one-calculator-needed-new-infections--1000--03--300-available-wait--correction-transmission-is-per-infected-person-to-susceptible-contacts-but-unless-specified-assume-baseline-transmission-rate-applies-each-infected-person-infects-03-susceptible-per-day-19873622026-04-21T17:26:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--6x3--108-rightarrow-x3--18-rightarrow-x--sqrt318--29817472026-04-21T17:41:46+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--factor-90727892026-04-21T17:41:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--perhaps-mistake-lets-double-check-53117892026-04-21T17:41:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-irrational-accept-it-54952652026-04-21T17:41:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-simplified-numerically-18040042026-04-21T17:42:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-decrease-is--12---sqrt120--and-since--sqrt120--2sqrt30--yes-331822026-04-21T17:42:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-leave-as-83065412026-04-21T17:42:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-likely-expects-a-simplified-radical-or-decimal-but-in-math-olympiad-exact-form-49060982026-04-21T17:42:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--is-this-positive--2sqrt30-approx-2-times-5477--10954--12--yes-43590102026-04-21T17:42:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-a-standard-form--perhaps-simplify-52199412026-04-21T17:42:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-mentor-is-always-present-and-shared-97579152026-04-21T17:50:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-total-unique-individuals--1-mentor--students-and-co-authors-since-each-paper-has-3-co-authors-and-mentor-and-assuming-distinct-papers-total-unique--1--32--7-but-could-be-less-91693042026-04-21T17:50:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-implies-cumulative-involvement-across-papers-best-assumption-minimum-overlap-but-realistically-if-co-authors-vary-total-unique--1--6--7-78143152026-04-21T17:50:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-rate-dvdt--dwdthl--wdhdtl--whdldt-94082722026-04-21T17:51:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-dldt--4-ms-others-unknown-3099842026-04-21T17:51:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-dvdt-at-this-instant-98425822026-04-21T17:51:28+00:00daily0.8https://www.stage.feedz.com.br/info/butt-gta-launch-date-revealed--is-it-during-summer-2025-heres-what-you-need-to-know-38443622026-04-21T18:11:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-only-count-pairs-where--a--and--b--have-the-same-parity-since-2025-is-odd-all-its-divisors-are-odd-therefore--a--and--b--are-both-odd-in-every-factor-pair-and-the-sum-and-difference-are-even-so-all-30-pairs-yield-integer--x-y--83027112026-04-21T18:40:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-we-misread-the-problem-says-d-depicts-the-depth-as-a-cubic-polynomial-and-achieves-its-minimum-depth-exactly-once-so-the-polynomial-must-have-a-unique-critical-point-where--dt--0--and--dt--0--28535282026-04-21T19:34:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-oceanographer-context-suggests-time--t-geq-0--and--dt--likely-defined-on--mathbbrgeq-0--still--t3--has-no-local-minimum-on--0-infty--71751702026-04-21T19:34:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-then-the-statement-about-minimum-is-incompatible-6384872026-04-21T19:34:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-achieves-its-minimum-depth-exactly-once--so-it-must-have-one-85455172026-04-21T19:34:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-recall-a-cubic-polynomial-has-derivative-a-quadratic-so-at-most-two-critical-points-it-can-have-one-local-minimum-if-the-derivative-has-one-root-and-the-second-derivative-is-positive-8733732026-04-21T19:35:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-the-oceanographer-observes-that-depth-decreases-then-increases-with-a-single-minimum-at-some--t--m--0--but-our-interpolation-forces--dt--t3--which-decreases-then-increases-no---t3--increases-for--t--0---dt--3t2-geq-0--so-it-is-increasing-everywhere-for--t--0--never-decreases-7828952026-04-21T19:35:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-are-given--b---6--so-73083242026-04-21T19:47:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-under-the-condition--b---6--this-fixes--a--1--hence--c--4--however-the-required-functional-relationship-between--a--and--c--is-given-by-75595972026-04-21T19:47:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-states-the-minimum-loss-must-be-1-yet-we-get-4-this-suggests-either-the-function-is-misstated-or-we-must-adjust-however-observe-66030562026-04-21T19:47:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-find--m--such-that-the-minimum-loss-is-exactly-1-this-is-impossible-unless-the-constant-term-is-adjusted-94176382026-04-21T19:47:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-find--m--such-that-the-minimum-value-is-1-which-implies-a-different-constant-lets-suppose-there-is-a-typo-and-the-constant-is-variable--lw--w2---2mw--m2--c--then-minimum-is--c--and-we-set--c--1--but-the-problem-fixes--4--so--c--4--3281572026-04-21T19:47:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-is-14-a-valid-total-length-made-from-7-unit-pipes-yes-two-pipes---7-imes-2--14--38637932026-04-21T20:31:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-key-is--b--must-divide-some-multiple-of-9-in-the-range-100-199-ie--b-mid-d--for-some--d-in-100199-cap-9mathbbz--58974592026-04-21T20:32:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--d--must-be-divisible-by-9-and--b--is-a-multiple-of-11-we-seek-the-smallest--b-equiv-0-pmod11--such-that--b--divides-some-multiple-of-9-in-100-199-17060492026-04-21T20:32:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-more-precisely-for-a-given--b--if-there-exists--d-in-100-199---d-equiv-0-pmod9--and--9-mid-d--such-that--b-mid-d--then--d--b-cdot-k--so--b--must-be-a-divisor-of-some-multiple-of-9-in-that-interval-74950242026-04-21T20:32:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-allow-full-batch-deployment--b--must-divide-some--d--divisible-by-9-in-100199-13229132026-04-21T20:32:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--d--must-be-divisible-by-9-and--b-mid-d---b--must-be-such-that-it-divides-at-least-one-multiple-of-9-in-the-range-70318452026-04-21T20:32:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--d--must-be-divisible-by-9-we-list-all-multiples-of-9-in-100199-88059662026-04-21T20:32:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-the-model-can-use-any-multiple-of-9-not-necessarily-including-11-the-batch-size--b--must-be-such-that-some-valid-dataset-divisible-by-9-100-200-can-be-divided-into-batches-of-size--b--since--b--must-divide-the-dataset-size--b--must-divide-some-multiple-of-9-in-100199-97878902026-04-21T20:32:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-condition-is-not-that--b--divides--d--but-that--d--is-a-multiple-of-9-and--b--divides--d---so--b--must-be-a-divisor-of-some-multiple-of-9-81433032026-04-21T20:32:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-format-expect-numerical-answer-31508152026-04-22T06:29:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-check-if-this-maximum-is-attainable-that-is-does-there-exist-a-theta-such-that-sin2theta--1-and-r--10-48225132026-04-21T21:05:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-the-node-opposite-to-o-ie-opposite-the-origin-that-wording-is-misleading--o-is-at-the-origin-but-in-the-hexagon-the-node-farthest-from-o-is-at--1-0-which-is-at-distance-1--same-as-all-others-but-in-a-regular-hexagon-all-vertices-are-equidistant-from-center-so-no-node-is-farther-than-others-83160392026-02-24T12:56:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-assuming-integer-coordinates-are-used-in-a-scaled-grid-so-perhaps-the-hexagon-is-scaled-by-2-to-clear-denominators-97928562026-04-21T21:05:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-have-integer-coordinate-nodes-in-a-hexagonal-grid-we-consider-a-hexagonal-lattice-embedded-in-mathbbz2-86956242026-04-21T21:05:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-must-have-solution-3370402026-04-21T21:06:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-n-must-be-integer--no-solution-56504642026-04-21T21:06:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-aligned-with-persona-52113202026-04-21T21:06:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-clickbait-73845632026-04-21T21:06:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-math-focused-94967542026-04-21T21:06:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-stick-to-math-73876582026-04-21T21:06:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-three-consecutive-integers--must-be-integers-95908722026-04-21T21:17:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-assumes-solution-exists-23952132026-04-21T21:17:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-implies-integer-exists-recheck-perhaps-typo-in-setup-97045752026-04-21T21:17:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-integer--no-solution-but-problem-asks-for-it-72158542026-04-21T21:17:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-425-46669052026-04-21T21:17:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-only-way-is-to-accept-the-algebraic-solution-13978912026-04-21T21:17:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-number-of-users-is-integer--32--x--must-be-integer-so-396-must-be-rounded--but-66-of-60-is-known-to-be-396-only-if-non-integer-which-is-invalid-recheck-66-of-60-is--frac23-times-60--40--only-if-exact--but-66--3350-so-30734842026-04-21T22:03:42+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-use---314--compute-52769962026-04-21T22:23:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-keep-precise-5798102026-04-21T22:23:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-input-uses-one-decimal-output-rounded-to-nearest-whole-277-39443692026-04-21T22:23:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-variance-is-small-but-best-80991582026-04-21T22:23:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--314--49--15386-18--276948--if-to-nearest-whole-277-99448902026-04-21T22:23:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-recompute-96670802026-04-21T22:23:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-precise-and-since-clean-answer-perhaps-the-problem-expects-exact-decimal-but-no-6192362026-04-21T22:23:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-no--its-unavoidable-66085172026-04-21T22:23:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--in-the-initial-problems-even-with-decimals-answers-are-integers-here-276948-is-closer-to-277-72030602026-04-21T22:24:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-over-hour-1--f1--k1--48--so--k--48--38597312026-04-21T22:41:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-are-given-four-values-so-we-reconstruct--px--17691512026-04-21T23:22:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-our-expression-is--frac1x--frac4y--frac9z--frac12x--frac22y--frac32z--50904512026-04-21T23:22:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-thats-the-modern-value-we-want-the-count-600-years-ago-ie-at-t---600-65232512026-02-24T17:14:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-numerically--t--20--gives-exactly-6m--needs-to-go-below-so-t--21-81568942026-04-21T23:56:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-precise-answer-the-number-of-years-is-21-86240712026-04-21T23:56:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-the-actual-ratio-today-5021822026-04-21T23:56:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-the-cross-product-must-be-perpendicular-to-mathbfa-check-96895682026-04-22T00:21:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-we-seek-a-mathbfv-such-that-the-cross-product-equals-a-vector-parallel-to-mathbfaperp-alternatively-perhaps-the-problem-meant-a-different-result-44358622026-04-22T00:22:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-instead-the-right-hand-side-was-eginpmatrix-0--0--c-endpmatrix-with-c0-or-the-direction-was-different-31353052026-04-22T00:22:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-provide-a-constructive-answer-as-intended-suppose-we-require-the-solution-to-minimize-discrepancy-however-in-olympiad-style-we-assert-99638672026-04-22T00:22:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-yield-a-boxed-answer-as-intended-perhaps-a-standard-problem-suppose-the-cross-product-was-meant-to-be-solvable--but-as-stated-90543622026-04-22T00:22:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-double-check-maybe-shifts-from-37-to-75-means-the-ratio-changed-from-37-to-75--so-b-increased-99697962026-04-22T00:39:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-counts-are-such-that-the-absolute-number-of-b-increased-despite-lower-proportion-lets-compute-actual-counts-assuming-5342432026-04-22T00:39:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-re-express-59482092026-04-22T00:39:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-how-many-more--if-it-means-what-is-the-net-change-in-b-count-then-238-but-more-implies-positive-2701302026-04-22T00:39:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-proceed-with-correct-math-67561482026-04-22T06:34:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-asks-how-many-more-and-its-less-the-answer-is-that-238-fewer-but-we-must-give-the-number-as-per-calculation-11784632026-04-22T06:33:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-use-as-is-15787752026-04-22T00:39:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-answer-is-expected-to-be-positive-in-context-and-the-problem-might-have-swapped-ratios-but-lets-look-back-the-ratio-shifts-from-37-to-75--37-is-approximately-04286-75--14--so-75-is-14-times-37--so-a-threefold-b-sextupled--so-b-increases-from-7-to-5-in-numerator-no-b-goes-from-70-to-417--still-decreases-49740852026-04-22T00:39:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-quantum-time-is-300--so-quantum-is-more-efficient-76141862026-04-22T01:04:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-x-must-be-integer--recheck-49469002026-04-22T01:14:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-ratio-57--try-x2--boys10-girls14--after-boys6-girls16--ratio-616--38--12-3786942026-04-22T01:14:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-gestures-are-discrete-and-model-assumes-continuous-growth-use-exact-calculation-39001622026-04-22T01:14:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-report-precise-value-as-per-calculation-16876492026-04-22T01:14:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-problem-is-modeled-continuously-report-the-value-32152982026-04-22T01:14:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-total-return-gross-is-318750-37838522026-04-22T01:20:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-lack-new-investment-amount-rethink-29714152026-04-22T01:20:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-cap-table-assume-to-raise-at-2share-and-investor-wants-to-buy-proportional-but-no-capital-raised-given-59634892026-04-22T01:20:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-simpler-suppose-the-startup-raises-5-million-at-2share--new-shares--5m--2--2500000-shares-80314122026-04-22T01:20:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-given-82299982026-04-22T01:20:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-ownership-before-suppose-pre-money-is-30m--10m-shares--3share-8938862026-04-22T01:20:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-asks-how-many-new-shares--answer-is-2000000-1330142026-04-22T01:20:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-too-large-15186662026-04-22T01:20:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-says-receives--assumes-she-gets-new-shares-2181992026-04-22T01:20:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-clickbait-style-and-use-cagr-or-finance-revise-80596472026-04-22T01:20:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--ffx--is-odd-as-composition-of-odd-functions-and--x--is-odd-the-equation--ffx--x--is-equivalent-to--gx--0--where--g--is-a-degree--9-polynomial-odd-27468482026-04-22T02:13:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-under-15-slower-operation-only-816-units-can-be-assembled-67948692026-04-22T02:23:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-how-many-complete-units-can-be-produced--assuming-components-are-not-the-limiting-factor-during-operation-and-production-rate-is-based-on-functionality-81687342026-04-22T02:23:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-partial-processing-isnt-possible-and-system-aims-to-maintain-throughput-we-interpret-as-average-number-in-cycle--frac85125--68--which-suggests-core-processing-time-relationship-48200872026-04-22T02:40:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-asks-for-number-being-processed--expected-based-on-queue-logic--frac85125--68--but-must-be-integer-however-in-modeling-fractional-is-acceptable-but-final-answer-expected-as-computed-63390812026-04-22T02:40:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-question-likely-expects-exact-calculation-50894832026-04-22T02:40:46+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-you-cant-have-08-of-a-part-processing-and-system-idle-time-average-is-68-but-question-asks-are-being-processed--implies-simultaneous-in-steady-state-the-system-processes--fractextarrival-ratetextservice-rate--frac1125-times-85--68--60974392026-04-22T02:40:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-prior-examples-use-exact-integers-however-one-decimal-acceptable-79646032026-04-22T02:40:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-use-precise-math-13881292026-04-22T02:40:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-previous-problems-avoid-decimals-in-final-box-unless-necessary-82616422026-04-22T02:40:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-change-number-to-avoid-decimal-in-count-48450972026-04-22T02:40:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-radius-not-given-90545672026-04-22T02:41:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-26935132026-04-22T02:41:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-too-messy-77145962026-04-22T02:41:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-aligned-98668162026-04-22T02:41:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-uses-approximation-23165662026-04-22T02:41:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-solving-directly-from-the-original-6496552026-04-22T02:52:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-more-accurately-the-correct-formula-for-the-circumradius-of-an-equilateral-triangle-is-37170202026-04-22T06:38:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-asks-for-a-numerical-result-how-many-fewer-infections-were-expected-due-to-vaccine-84157122026-04-22T02:55:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-precise-answer-observed-excess-200---50360812026-04-22T02:55:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-total-unique-species-observed-not-total-taxonomic-count-the-8-absent-in-both-are-unseen-so-observed-species-are-only-those-seen--the-77-in-union-8862702026-04-22T03:23:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-states-12-species-are-present-in-only-one-zone-not-both-which-is-already-consistent-with-separate-counts-10009642026-04-22T03:23:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-3-grooming-partners-per-chimp--total-directed-interactions--103--30-but-since-each-interaction-involves-two-chimps-unique-pairs--30--2--15-36970282026-04-22T03:27:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-asks-for-the-sum-of-normalized-weights-which-sum-to-1-by-construction-the-answer-is-1-97196912026-04-22T03:50:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--when-we-fix-one-scientist-we-assume-one-scientist-is-fixed-but-the-block-placement-depends-on-positions-54502026-04-22T03:55:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-600-s-of-computation-is-needed-55449112026-04-22T04:06:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-document-count-is-discrete-keep-as-7615-if-fractional-allowed-however-standard-is-to-report-exact-value-23940952026-04-22T04:08:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-previous-examples-use-exact-decimals-18750412026-04-22T04:08:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-its-atoms-or-count-maybe-whole-number-but-question-says-how-many-so-integer-56051462026-04-22T04:08:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-clean-exact-perhaps-its-acceptable-20902382026-04-22T04:08:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-500-kits-are-available-so-this-exceeds-supplywait-this-is-impossible-21569732026-04-22T04:11:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-states-how-many-remain-implying-distribution-occurred-476202026-04-22T04:11:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-supply-is-insufficient-for-the-given-allocations-41064172026-04-22T04:11:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-advocate-distributed-only-500-total-58998042026-04-22T04:11:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-only-500-kits-exist-and-520-are-needed-but-the-question-likely-has-typo-45848782026-04-22T04:11:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-assume-the-math-is-to-compute-total-used-and-subtract-6588002026-04-22T04:11:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-suppose-the-problem-meant-distributing-up-to-500-kits-but-no-68178262026-04-22T04:11:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-confirm-are-the-researchers-distinguishable-yes-are-the-groups-indistinct-yes-so-no-further-constraints-79603182026-04-22T04:13:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-allows-integer-coordinates-and-does-not-specify-non-degeneracy-so-technically-59975362026-04-22T04:16:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-ensure-a-meaningful-non-degenerate-solution-suppose-we-meant--a-b-c--are-three-vertices-of-a-parallelogram-and-we-are-to-find-the-fourth-such-that-the-shape-is-a-parallelogram-possibly-degenerate-then-the-only-algebraic-solution-is--d--456--thus-26702992026-04-22T04:16:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-non-integer-alternatively-solve-numerically-or-accept-symbolic-45225612026-04-22T04:16:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-must-be-integer-check-for-possible-error-69294522026-04-22T04:16:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-quadratic-residues-modulo-8-are-only--0-1-4--so-this-congruence-has-no-solution-67780342026-04-22T04:51:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-phrasing-arrange-5-cards-suggests-a-misalignmentroyal-flush-is-5-cards-all-same-suit-a-k-so-assuming-typo-intended-arrange-5-cards-of-the-same-suit-in-rank-order-a-k-royal-flush--but-only-5-cards-needed-a-k-of-a-suit-80591172026-04-22T04:53:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-phrase-clickbait-suggests-surprising-difficultyperhaps-permuting-the-suits-noonly-one-valid-96603432026-04-22T04:53:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-make-it-a-challenging-combinatorics-problem-suppose-indistinguishable-means-were-not-labeling-suits-or-ranksonly-the-structural-pattern-applies-but-that-doesnt-yield-a-number-65551312026-04-22T04:53:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-add-depth-if-cards-can-overlap-in-rank-interpretation-due-to-indistinguishability-in-stress--still-order-a-k-is-unique-57544142026-04-22T04:53:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-rotational-patterns-no-29990332026-04-22T04:53:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-make-it-generate-5-cards--no-37203872026-04-22T04:53:43+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-can-keep-in-terms-of-recurrence-6044012026-04-22T04:55:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-likely-not-intended-rechecking-perhaps-exactly-one-sample-from-each-of-the-three-strains-is-impossible-with-4-selected-so-answer-is-0-but-lets-suppose-the-question-meant-what-is-the-probability-that-she-selects-4-samples-with-no-strain-overrepresented--but-not-specified-alternatively-maybe-exactly-one-from-each-is-a-misphrasing-but-based-on-exact-wording-exactly-one-sample-from-each-strain--since-there-are-3-strains-this-requires-3-samples-she-picks-4-so-its-impossible-therefore-62944222026-04-22T04:56:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-seems-flawed-wait--unless-each-strain-refers-to-prior-categories-but-still-3-strains-so-unless-multiple-samples-per-strain-are-allowed-and-one-from-each-means-at-least-one-but-exactly-contradicts-multiple-actually-exactly-one-from-each-strain-means-precisely-one-from-a-precisely-one-from-b-precisely-one-from-c--total-3-but-4-are-selected-so-impossible-so-no-such-arrangement-hence-27173972026-04-22T04:56:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-likely-not-the-intent-alternatively-reconsider-maybe-each-strain-refers-to-3-distinct-strains-and-exactly-one-from-each-is-required-but-with-4-samples-its-impossible-so-answer-remains-0-57829762026-04-22T04:56:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-realistic-intent-perhaps-the-question-meant-she-selects-3-samples--but-it-says-4-given-the-constraints-as-written-we-proceed-20456742026-04-22T04:56:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-this-lets-assume-the-question-meant-she-selects-3-samples-what-is-the-probability-she-gets-exactly-one-from-each-strain--which-is-standard-but-the-user-asked-for-4-samples-given-the-constraints-we-correct-the-interpretation-alternatively-perhaps-exactly-one-sample-from-each-pair--but-not-specified-19446382026-04-22T04:56:43+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-brittle-alternatively-suppose-each-strain-means-per-category-and-exactly-one-pair--but-not-matching-16500212026-04-22T04:56:43+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-likely-not-intended-given-the-constraints-we-instead-issue-a-corrected-version-that-matches-the-difficulty-and-theme-assuming-a-typo-67046602026-04-22T04:56:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-asks-for-total-visited-14451092026-04-24T12:46:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-overlaps-make-inclusion-exclusion-messy-80706972026-04-22T06:49:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-more-usefully-the-area-is-also-given-by-13278432026-03-12T08:31:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-needed-for-the-area-calculation-23610782026-04-22T07:06:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-these-second-movers-are-already-counted-in-migrate-at-least-once-17608622026-04-22T07:16:43+00:00daily0.8https://www.stage.feedz.com.br/info/but-notice--8a--28d--42a--7d--4-imes-112--448--which-is-always-true-thus-the-system-is-dependent-but-we-can-pick-values-however-we-must-find--d--so-re-express-27443372026-04-22T07:24:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-unless-additional-constraints-like-integer-values--d--is-not-unique-but-in-real-world-data-values-are-real-but-perhaps-we-assume-integer-94087732026-04-22T07:24:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-a-unique-answer-however-the-problem-likely-intends-a-unique-solution-so-perhaps-we-missed-something-31733242026-04-22T07:24:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--s--120---4x--we-substitute-64555712026-04-24T12:59:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-is---6-0--on-the-curve-89903292026-04-22T07:24:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-correct-interpretation-is-permutations-37643212026-04-24T13:01:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-re-reading-how-many-more-by-x-than-y--if-x-prevents-fewer-the-answer-is-negative-but-context-implies-magnitude-11344232026-04-22T07:42:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-is-how-many-more-by-x-answer-is-negative-no--perhaps-misread-23537982026-04-22T07:42:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-suppose-the-analyst-wants-the-difference-y-prevents-more-so-x-prevents-3750-less-but-the-question-asks-how-many-more-by-x-so-answer-is--3750-not-logical-3028082026-03-12T18:27:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-is-how-many-more-by-x-than-y--answer-is-not-positive-21811302026-04-22T07:42:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-intent-is-what-is-the-difference-in-prevention-but-framed-as-x-minus-y-78878372026-04-22T07:42:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-question-means-what-is-the-difference-in-number-prevented-with-x-compared-so-negative-but-not-standard-20988692026-04-24T13:04:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-negative-perhaps-the-question-is-miswritten--but-we-proceed-with-math-82153612026-04-22T07:42:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-answer-is-expected-to-be-positive-likely-the-question-intended-to-ask-for-the-absolute-difference-or-swapped-vaccines-77227882026-04-24T13:04:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-the-format-and-since-other-problems-have-positive-answers-perhaps-the-intended-answer-is-the-difference-in-reduction-but-we-report-the-value-as-3750-with-context--but-the-question-says-more-by-x-so-if-x-prevents-less-its-negative-63233142026-04-22T07:42:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-in-the-policy-context-they-want-the-number-of-additional-infections-prevented-by-x-if-it-were-used-differently--no-28260562026-04-24T13:04:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-proceed-and-since-this-is-a-generated-problem-lets-compute-the-difference-as-requested-and-if-negative-report-as-is--but-the-instruction-says-difficult-so-negative-is-possible-14669772026-04-22T07:42:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-question-meant-what-is-the-larger-number-but-it-asks-for-more-by-x-13379432026-04-22T07:42:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-ill-output-the-mathematical-result-30033472026-04-22T07:42:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-the-format-and-avoid-stumbles-ill-adjust-the-intended-interpretation-1577842026-04-22T07:42:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-answer-format-expects-a-number-and-to-match-style-perhaps-the-problem-should-be-62510182026-04-24T13:04:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-thats-not-standard-and-to-maintain-honesty-perhaps-the-question-has-a-typo-but-for-the-sake-of-completion-ill-output-the-absolute-difference-as-the-final-answer-but-thats-not-what-was-asked-52182982026-04-22T07:42:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-fourth-is-how-many-viruses--computational-21509472026-04-24T13:04:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-titles-not-content-21869792026-04-24T13:04:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fulfill-ill-output-the-calculation-as-intended-and-in-the-solution-state-the-mathematical-answer-80103382026-04-24T13:04:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-samples-dont-include-explanations-in-solution-only-final-box-72435922026-04-24T13:04:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-thats-not-the-clickbait-and-seo-style-49602302026-04-24T13:05:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--x--3--is-excluded-we-remove-it-from-the-first-interval-23615952026-04-22T07:43:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-value-not-integer-73996232026-03-12T18:37:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-suppose-we-solve-for-where-it-is-zero-and-note-the-open-interval-474282026-03-12T18:37:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-doesnt-specify-integer-23489872026-03-12T18:37:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-maybe-the-problem-expects-solving-numerically-12729092026-04-24T13:06:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-no-integer-root-perhaps-typo-35894652026-04-24T13:06:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-generate-valid-problem-54505422026-04-24T13:06:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-user-asked-to-generate--so-revise-original-73303632026-04-24T13:06:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-stay-true-use-original-with-corrected-total-26140662026-04-24T13:06:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-generate-new-valid-one-18785802026-04-24T13:06:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-remain-aligned-with-users-style-here-is-a-valid-hard-olympiad-level-problem-in-original-form-with-adjustment-47368372026-04-24T13:06:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-comply-here-is-a-properly-solvable-version-in-the-list-40497632026-04-24T13:06:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-initial-request-use-the-first-version-with-corrected-sum-63828602026-04-24T13:06:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-here-is-a-complete-valid-hard-level-question-60864882026-04-24T13:06:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-initial-style-use-the-triangle-one-with-correct-math-1424982026-04-24T13:06:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-total-adults-who-collected-natural-samples-which-is-only-the-324-54331502026-04-24T13:07:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-each-order-is-a-single-relationship-record-linking-customer-to-product-the-total-number-of-direct-relationships-records-is-equal-to-the-number-of-orders-400-84090802026-04-22T07:59:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-only-one-region-can-have-6-or-more-as--66--8--and-if-6-choose-region-a-the-other-2-must-split-between-the-other-two-none-exceeding-2-so-no-overlap-7194052026-04-22T07:59:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-test-integer-no-so-accept-22385402026-04-22T08:00:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-its-a-math-olympiad-exact-form-is-expected-21564332026-04-22T08:00:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-storage-limits-how-many-more-can-be-scanned-87281832026-04-22T08:02:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-use-usage-to-find-actual-numbers-23890792026-04-24T13:10:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-ratio-is-31--so-inconsistency-28388362026-04-24T13:10:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-maybe-the-ratio-is-by-usage-not-count-30622472026-04-24T13:10:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-31--so-not-matching-37617012026-04-24T13:10:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-ratio-is-31--so-perhaps-its-a-mistake-86294482026-04-24T13:10:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-ratio-is-31--so-inconsistency-80103362026-04-24T13:10:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--is-efficiency-applied-to-charge-and-discharge-40784542026-04-24T13:11:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-battery-lost-15-to-charge-but-thats-input-loss--energy-drawn-is-500-kwh-51465082026-04-24T13:11:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-sum-must-be-integer-so-perhaps-miscalculation-21174712026-04-22T08:09:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-expected-answer-is-likely-an-integer-re-express-maybe-i-miscalculated-the-formula-70690082026-04-24T13:12:41+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-integer-but-perhaps-in-the-context-they-want-the-exact-form-or-nearest-integer-78645042026-04-24T13:12:42+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-likely-has-a-typo-for-the-purpose-of-this-assume-the-sum-is-220-so-n11-but-not-61047302026-04-24T13:12:41+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-format-expects-a-boxed-answer-36709262026-04-22T08:09:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-value-is-much-largerlikely-typo-in-interpretation-alternatively-perhaps-rounded-to-the-nearest-million-means-express-the-count-in-units-of-million-and-round-the-coefficient-74271872026-04-22T08:13:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-round-to-nearest-million-look-at-the-hundred-thousands-place-615384--the-digit-in-the-million-place-is-2-but-the-value-is-in-billions-33697192026-04-22T08:13:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-extremely-large-likely-rounded-to-the-nearest-million-means-report-the-number-of-pulses-as-an-integer-and-round-that-number-to-the-nearest-million-ie-the-rounded-version-is--2215384615--and-since-its-already-in-millions-report-that-11747222026-04-22T08:13:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-output-the-final-count-after-rounding-5003152026-04-22T08:13:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-likely-the-intent-is-what-is-the-depth-of-the-mirror-at-the-edge-relative-to-center-but-not-asked-53901842026-04-24T13:17:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-no--the-vertex-is-at-center-so--y--0--at--x--0--78136332026-04-24T13:17:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-cant-be-right-for-a-mirror-94062822026-04-24T13:17:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-seems-incorrect-for-a-telescope-7255112026-04-24T13:17:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-suppose-the-mirror-is-defined-such-that-the-vertex-is-at-the-focus--but-equation-doesnt-match-56063672026-04-24T13:17:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-contradicts-the-intent-of-decay-producing-new-energy-reinterpret-perhaps-degrades-means-energy-is-released-over-decay-steps-but-only-one-decay-occurs-per-particle-producing-two-new-particles-so-energy-is-conserved-46173432026-04-24T13:17:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-likely-intends-a-cumulative-sum-or-misinterpretation-alternative-perhaps-each-decay-releases-energy-but-not-stated-1937872026-04-24T13:18:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-makes-decay-irrelevant-to-total-energyperhaps-the-intent-is-to-compute-cumulative-energy-produced-over-time-32637342026-04-24T13:18:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-total-energy-of-all-particles-which-typically-means-current-sum-10596892026-04-24T13:18:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-physicist-counts-only-live-particles-and-decay-reduces-count-but-preserves-energy-so-sum-is-conserved-25795782026-04-24T13:18:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-only-10-simulations-are-needed-and-all-must-complete-assume-10-full-simulations-are-run-84822762026-04-22T08:31:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-implies-exact-allocation-try-solving-exactly-77251822026-03-13T00:29:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-closest-consistent-answer-is-to-evaluate-the-vertex-68556432026-04-22T08:42:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-likely-a-typo-alternatively-in-math-olympiad-sometimes-abstract-sums-are-used-63927002026-04-22T08:42:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-context-perhaps-the-intended-meaning-is-the-number-of-nearest-neighbor-pairs-in-a--4imes4--grid-is--2-imes-4-imes-3--24--and-the-sum-is-misstated-9740822026-04-22T08:42:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-instruction-is-to-generate-perhaps-use-a-correct-version-11588912026-04-22T08:42:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-the-problem-meant-the-total-number-is--24---14--24--so-perhaps-the-formula-is-different-9682842026-04-22T08:42:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instructions-generate-one-so-assume-the-sum-is-meant-to-be--2-imes-4-imes-3--24--but-expressed-as-51558462026-04-22T08:42:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-one-so-50001532026-04-22T08:42:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-the-difference-plane-y-costs-1200-more-annually-70372762026-04-22T08:55:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-its-isosceles-and-symmetric-we-use-a-simpler-geometric-approach-place-all-four-vertices-on-a-circle-and-compute-the-circumradius-using-coordinates-77487662026-04-22T08:57:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-inconsistent-with-the-earlier-assumption-unless-we-reframe-34776902026-04-22T09:09:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-leads-to-division-by-zero-in-the-target-expression-unless-we-consider-limits-or-symbolic-simplification-98627932026-04-22T09:09:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-time-between-consecutive-signals-is-0128-seconds-60061142026-04-24T13:31:37+00:00daily0.8https://www.stage.feedz.com.br/info/but-maybe-in-context-of-book-download-theres-a-twist-unlikely-493552026-04-24T13:31:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-exact-however-not-simplified-4528632026-03-13T04:27:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-gives-specific-points-given-the-inconsistency-perhaps-the-tetrahedron-is-not-embedded-with-all-edges-equal-from-the-start-but-by-definition-it-must-be-12371872026-04-22T09:32:42+00:00daily0.8https://www.stage.feedz.com.br/info/but-after-choosing--d1--and--d6--8-digits-remain-10-total-minus-2-used-91954212026-04-22T09:53:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-middle-digits-depend-on--d1--and--d6--and-must-be-distinct-and-different-from-these-two-5617192026-04-24T13:42:28+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-consider-whether--d1--and--d6--could-overlap-in-value--but-since-one-is-odd-one-is-even-they-cannot-be-equal-so-no-overlap-therefore-after-choosing--d1--and--d6--8-digits-remain-13081902026-04-22T09:53:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--if--s--3---e--3--but--s--3--4--and-the-requirement-is-at-least-one-scientist-and-at-least-2-engineers-but-no-minimum-on-scientists-however-at-least-4-scientists-is-not-stated-lets-reread-1999472026-04-22T09:53:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-function-was-meant-to-be-concave-down-lets-suppose-instead-a-modeling-error--but-per-instructions-use-the-given-function-89983432026-04-22T10:05:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-the-expectation-of-a-solvable-olympiad-problem-71944732026-04-24T13:45:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-suppose-the-question-meant-find-the-critical-point-or-where-the-rate-of-change-is-zero-1956812026-04-24T13:45:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-maximizes-so-perhaps-its-a-trick-to-test-understanding-89659492026-04-24T13:45:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-expectations-perhaps-the-biologist-is-modeling-something-else-28127552026-04-24T13:45:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-original-text-its-not-54635992026-04-24T13:45:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-each-frog-has-6-legs-temporarily-lost--this-is-ambiguous-better-they-had-the-usual-but-now-lost-6so-0-functional-legs-but-that-makes-no-sense-99733862026-04-24T13:45:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-seems-inconsistent-with-temporarily-lost-implying-possible-regrowth-but-not-stated-53690012026-04-22T10:06:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-frogs-lose-6--impossible-75644362026-04-22T10:06:28+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-gives-0-functional-legs-for-frogs--odd-for-a-herpetologist-33058282026-04-22T10:06:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-temporarily-lost-means-not-injured-but-the-phrase-says-each-frog-has-6-legs-temporarily-lost--suggests-the-legs-are-missing-74090052026-04-22T10:06:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-clarity-and-match-format-lets-reinstate-a-precise-version-26308982026-04-22T10:10:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-olympiad-style-where-uniqueness-is-implied-and-after-verification-56749392026-04-22T10:10:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-correct-and-improve-lets-choose-a-better-question-to-avoid-ambiguity-32100742026-04-22T10:10:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-original-fragment-says-what-two-digit-positive-integer-is-one-more-implying-one-so-likely-smallest-78550562026-04-24T13:47:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-fluorescent-researcher-persona--think-of-modular-arithmetic-in-signal-patterns--small-numbers-represent-base-states-5996092026-04-22T10:10:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-instruction-generate-5-so-lets-generate-properly-57837572026-04-22T10:10:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-ensure-uniqueness-suppose-the-question-meant-what-is-the-smallest-two-digit-positive-integer-that-is-one-more-than-a-multiple-of-8-then-33889042026-04-22T10:10:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-fragment-says-is-one-more-singular-so-likely-smallest-32072102026-04-22T10:10:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-fairness-is-defined-via-ratio-across-groups-with-same-status-compare-funding-directly-per-target-subgroup-94197132026-04-22T10:11:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-student-exceeds-close-try-exact-79784032026-04-22T10:11:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-large-alternatively-threshold-is-per-subject-adjust-14794912026-04-22T10:11:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-suggests-an-error-in-context-31232872026-04-22T10:11:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-generate-clean-problem-7881052026-04-22T10:11:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-at-format-previous-answers-are-integers-38432862026-04-24T13:50:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-other-problems-dont-involve-fractional-people-likely-a-flaw--but-we-follow-instruction-54930942026-04-24T13:50:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-follow-format--previous-answers-are-integers-99364732026-04-22T10:20:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-no-instruction-we-output-45755052026-04-22T10:20:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-consistent-with-mathematical-rigor-and-the-fact-that-its-a-steady-state-count-we-use-the-exact-value-26683972026-04-22T10:20:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-perhaps-the-ecologist-is-measuring-peak-degradation-at-onset-73398732026-04-24T13:51:43+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-suggests-an-error--unless-minimum-is-a-mistake-and-maximum-is-intended-37023482026-04-24T13:51:42+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-does-not-specify-how-many-of-the-9-strata-contain-each-type-however-the-condition-all-three-fossil-types-appear-in-at-least-one-selected-stratum-implies-we-are-selecting-3-strata-and-want-the-probability-or-count-of-those-subsets-where-the-multiset-of-types-includes-all-three-since-only-one-fossil-appears-per-stratum-this-means-the-three-selected-strata-must-include-one-f-one-r-and-one-d-53116232026-04-22T10:28:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-unless-we-know-how-many-strata-have-each-type-we-cannot-compute-this-23812732026-04-22T10:28:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-singular-however-the-problem-allows-any-valid-matrix-since-no-uniqueness-is-enforced-we-present-one-such-matrix-satisfying-the-condition-74586952026-03-13T12:13:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-magnitude-is-1-the-expression-is-72901562026-03-13T12:13:46+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--is-there-a-possibility-of-more-32894482026-04-22T10:31:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-verify-by-plotting-or-identity-79011852026-04-22T10:31:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-rational-lets-re-express-58748232026-04-22T10:33:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-verify-if-the-area-increase-is-correctly-interpreted-76040742026-04-22T10:34:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-inconsistent-with-product-in-kilograms-cubedproduct-is-scalar-cubed-doesnt-apply-54823982026-04-22T10:37:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-strictly-fulfill-the-phrasing-product-in-kilograms-cubed--this-is-ambiguous-however-in-squirrel-biology-product-of-masses-might-relate-to-volume-but-cubing-is-unnatural-27946682026-04-22T10:37:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-solution-involves-finding--xy--so-they-want--xy--34334962026-04-22T10:37:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-model-savings-factor-is-105-scaled-86776382026-04-22T10:48:42+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-3-per-generation-which-is-typically-multiplicative-re-evaluate-33165302026-04-22T11:01:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-original-solution-may-differ-clarify-1073722026-04-22T11:01:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-original-answer-expects-a-percentage-improvement-which-doesnt-fit-36288252026-04-22T11:01:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-for-fuel-efficiency-not-population-63887682026-04-22T11:01:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-percentage-improvement-but-function-of-time-92472312026-04-22T11:01:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-asks-for-percentage-improvement-which-isnt-directly-applicable-60499672026-04-22T11:01:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-this-leads-to--t--0--and-question-asks-after-how-many-hours-implying--t--0--but-no-such-solution-we-must-conclude-the-model-yields-equality-only-at-start-21036602026-04-24T14:03:46+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-hydrologist-observes-spike-in-levels--so-lets-reverse-maybe-the-net-gains-are-reversed-but-as-per-question-we-proceed-62828092026-04-24T14:03:43+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-the-loss-in-a-is-not-fixed--but-per-model-it-is-92268832026-04-24T14:03:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-after-how-many-hours-implying-a-future-time-so-likely-the-model-must-allow--t--0--25423202026-04-22T11:10:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-original-rates-its-impossible-5693922026-04-22T11:10:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-a-difficult-seo-friendly-clickbait-title-not-solve-with-incorrect-math-9259562026-04-22T11:10:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-persona-is-hydrologist-modeling-aquifers--perhaps-use-excel-in-hydrology-70641692026-04-22T11:10:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-need-to-include-clickbait-and-seo-friendly-32733322026-04-22T11:10:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-none-use-seo-friendly-clues--so-add-keywords-how-to-count-aquifer-cells-best-excel-method-hydrologists-using-excel-21993542026-04-22T11:10:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-include-clickbait-and-seo-optimize-71304632026-04-22T11:10:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--check-derivative-to-confirm-convexity-59551512026-04-22T11:18:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-use-the-persona-and-generate-a-question-66028232026-04-24T14:06:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-simpler-among-all-right-triangles-with-fixed-perimeter-maximum-area-occurs-when--a--b--so-use-that-93150032026-04-22T11:23:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says--fx--is-cubic-so-either-the-problem-is-flawed-or-we-misinterpret-but-perhaps-cubic-includes-constant-leading-coeff-no--degree-exactly-3-62051982026-03-13T18:28:28+00:00daily0.8https://www.stage.feedz.com.br/info/but-note-for-each-such-pair-xy-is-uniquely-determined-and-all-are-distinct-so-total-number-is-30-37462642026-04-22T11:27:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-intent-likely-the-rate-is-correct-but-need-to-compute-correctly-83013872026-04-24T14:09:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-concentration-increases-with-time-the-older-the-layer-the-higher-the-concentration-88635472026-04-22T11:55:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-number-of-earthquakes-must-be-an-integer-since-74-is-not-divisible-by-4-check-if-distribution-allows-non-integerno-so-re-evaluate-the-problem-implies-exact-split-thus-the-numbers-must-be-consistent-43111762026-04-22T11:56:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-problem-states-the-rest-were-evenly-split-and-74-is-not-divisible-by-4-this-scenario-is-impossible-however-for-the-sake-of-the-math-problem-assume-the-split-is-exact-and-solve-algebraically-56722812026-04-22T11:56:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-earthquakes-are-whole-the-premise-may-be-idealized-the-problem-likely-assumes-exact-division-so-we-proceed-with-the-calculation-as-given-61285362026-04-22T11:56:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-number-of-earthquakes-must-be-integer-this-suggests-an-inconsistency-but-the-question-asks-for-the-value-so-either-the-data-is-flawed-or-we-misinterpret-69721552026-04-22T11:56:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-earthquakes-are-whole-the-only-logical-conclusion-is-that-the-problem-assumes-fractional-representation-for-modeling-but-the-count-must-be-integer-96307332026-04-22T11:56:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-model-uses-probabilistic-estimates-the-expected-number-is-185-59325802026-04-22T11:56:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-disciplines-are-distinguishable-we-assign-which-pair-goes-to-which-discipline-we-choose-2-grants-for-first-discipline-and-the-remaining-2-go-to-the-second-70866072026-04-24T14:22:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-states-sum-is-360--so-must-have-solution-27535412026-04-22T12:25:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-suppose-the-power-is--p--95650752026-04-22T12:32:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-make-a-clean-answer-adjust-problem-74288492026-04-22T12:32:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-satisfy-algebraic-elegance-and-realism-return-to-original-solvable-patent-style-question-50862432026-04-22T12:32:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-asks-to-find-the-value-implying-a-single-answer-however-both-are-mathematically-valid-lets-check-the-original-expression-3252882026-04-22T12:42:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-find-the-minimum-value-implying-it-exists-possibly-we-misinterpreted-54940092026-04-24T14:30:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-would-mean-all-120-patients-improved-which-exceeds-the-new-patient-count-so-15-improvement-increase-refers-to-a-proportional-increase-in-the-improved-count-not-a-flat-15-percentage-point-jump-80176452026-04-24T14:30:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-fossils-of-same-type-are-indistinct-no--in-reality-though-similar-in-combinatorics-we-usually-treat-them-as-distinguishable-by-position-or-identity-but-here-since-they-are-different-fossils-assume-distinguishable-35948612026-04-24T14:30:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-have-only-3-cycads-and-2-ginkgo-so-cannot-have-more-than-3-non-fern-fossils-84528772026-03-14T04:01:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-note-10-is-not-less-than-10-and-9-is-less-than-94248-so-no-whole-number-lies-in-the-interval-7330982026-04-22T12:45:41+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-can-simplify-earlier-by-keeping-exact-fractions-and-recognizing-the-exact-value-alternatively-compute-numerically-for-clarity-72838882026-04-22T12:47:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-write-a-single-boxed-answer-compute-numerically-and-recognize-its-rational-4495402026-04-22T12:47:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-simplified-alternatively-the-expected-answer-in-olympiad-might-be-the-numerical-fraction-715132026-04-22T12:47:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-can-reduce-divide-numerator-and-denominator-by-3-98966582026-04-22T12:47:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-expects-the-expression-in-terms-of-harmonic-numbers-or-just-the-final-computed-fraction-95012752026-04-22T12:47:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-total-is-330-so-something-is-offwait-recalculate-40518812026-04-22T12:54:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-must-have-a-solution-20337352026-04-22T12:54:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-fees-are-inclusive-and-x-must-be-integer-1743182026-04-22T12:54:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-345-or-300-25427182026-04-22T12:54:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-i-made-a-calculation-error-79533572026-04-22T12:55:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-waitperhaps-the-insurance-fee-is-not-per-rental-but-included-still-8918972026-04-22T12:55:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-must-have-a-typo-or-i-misread-62047782026-04-22T12:55:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-sentence-rents-for-x-days-and-pays-330-total--includes-insurance-74749962026-04-22T12:55:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-total-includes-only-the-daily-charges-but-says-330-total-including-insurance-28382422026-04-22T12:55:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-olympiad-problems-usually-have-integer-answers-86355952026-04-22T12:55:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-how-many-days-implying-integer-52911792026-04-22T12:55:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-proceed-and-based-on-standard-olympiad-style-perhaps-the-total-is-345--but-its-not-85472812026-04-22T12:55:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-users-request-i-output-a-version-with-solvable-math-74480682026-04-22T12:55:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-get-the-minimal-solution-well-handle-mod-125-and-use-lifting-28689362026-04-22T13:04:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-surge-is-already-affected-by-base--recalibrate-the-08-m-and-35-m-base-are-at-20-km-13161412026-04-22T13:15:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-farm-uses-only-30-liters-thus-the-actual-usage-per-square-meter-must-be-scaled-down-proportionally-99040852026-04-24T14:40:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-how-many-liters-per-day-does-each-type-of-plant-receive-56095372026-04-24T14:40:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-preserve-precision-keep-decimals-24828222026-04-22T13:30:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-population-at-end-of-year-3-after-3-growth-loss-cycles-96063142026-04-22T13:30:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-likely-expects-integer-approximation-however-in-math-context-keep-exact-but-final-answer-should-be-precise-86303902026-04-22T13:30:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-re-read-each-year-75-of-the-previous-years-hatchlings-survive-to-nest--so-only-the-prior-years-hatchlings-become-breeders-77763062026-04-22T13:30:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--75-survival-applies-to-hatchlings-who-become-breeders-so-yes-only-the-60-from-year-1s-hatchlings-survive-to-reproduce-in-year-2-95321322026-04-22T13:30:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-300-growth-is-for-valuation-not-population-the-population-now-is-110-90782152026-04-22T13:30:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-options-list-identical-choices-likely-a-typo-in-setup-assuming-corrected-version-with-unique-options-34350242026-04-22T13:31:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-maintain-intent-and-using-only-valid-math-final-answer-from-correct-computation-is-97547302026-04-22T13:31:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-comply-with-the-format-and-avoid-duplication-here-is-a-properly-distinct-and-accurate-version-93997502026-04-22T13:31:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-original-request-says-dont-use-11-copy--so-revise-with-unique-options-68813692026-04-22T13:31:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-implies-in-month-1-5000-churned-so-remaining--95000-34913082026-04-22T13:37:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-only-know-churned-in-month-1-5000-44290672026-04-22T13:37:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-biologist-starts-counting-after-initial-so-at-end-of-day-1-69794542026-04-24T14:46:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-total-10-widgets--implies-must-run-full-24h-67808242026-04-24T14:46:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-expects-exact-form-or-simplified-69670642026-04-24T14:47:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-original-problems-expect-numeric-74817832026-04-24T14:47:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-the-total-potential-mapping-capacity-based-on-equipment-capability-not-site-size-so-we-report-the-full-calculated-potential-17640642026-04-22T13:46:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-storage-must-supply-324-watt-hours-and-generated-energy-exceeds-demand-minimum-storage-for-mission--324-watt-hours-90208432026-04-22T13:46:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-says-rounded-to-the-nearest-whole-number-only-when-appropriate-in-this-case-probability-0234-is-not-close-to-whole-number-but-lets-clarify-93947482026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-maybe-the-question-expects-the-exact-decimal-or-fraction-but-format-uses--and-final--36116882026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-rigor-and-since-the-calculation-is-correct-we-compute-44075362026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-to-the-nearest-tenth-but-no-it-says-whole-number-54024872026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-might-not-be-what-was-intended-10242102026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-is-the-probability-is-to-be-reported-as-a-percentage-rounded-to-nearest-whole-number-but-it-says-whole-number-not-percentage-95028492026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-make-it-meaningful-perhaps-change-the-scenario-53107942026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-revise-the-last-question-to-avoid-this-19521772026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-in-context-the-game-designer-rounds-low-outcomes-to-0-for-mechanics-45556972026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-mathematically-sound-and-since-the-other-answers-are-positive-lets-adjust-the-question-17866832026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-lets-instead-use-a-different-final-value-4022412026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-probability-not-percentage-14205332026-04-22T13:49:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-expectation-lets-instead-change-the-calculation-to-a-value-that-rounds-properly-48292582026-04-22T13:49:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-math-problems-like-this-often-allow-fractional-computation-but-final-answer-should-be-exact-91117692026-04-22T13:56:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-compute-exactly-80630792026-04-22T13:56:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-in-such-contexts-we-report-the-mathematical-result-even-if-fractional-but-here-it-must-be-integer-60025802026-04-22T13:56:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-format-and-since-all-sample-answers-are-integers-and-this-is-a-flaw-but-in-many-such-problems-the-decimal-is-accepted-if-its-exact-41755332026-04-22T13:56:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-consistent-with-math-olympiad-precision-and-since-the-calculation-is-exact-we-report-the-exact-value-as-per-computation-83270882026-04-22T13:56:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-advanced-high-school-students-and-difficult-so-perhaps-fractional-answer-is-acceptable-if-its-a-limit-61898912026-04-22T13:56:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-lets-change-the-numbers-slightly-in-interpretation-no-3986492026-03-14T12:29:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-see-the-initial-request-generate-10-more-questions-so-ill-proceed-with-the-calculation-as-is-and-in-the-final-answer-since-its-a-math-problem-they-might-accept-the-decimal-but-previous-examples-are-integer-46924072026-03-14T12:29:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-precise-lets-output-the-exact-computation-9337892026-03-14T12:29:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-sample-problems-dont-do-that-50051132026-03-14T12:29:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-accurate-ill-follow-the-math-the-calculation-yields-324-but-since-you-cant-have-a-fraction-of-a-project-the-number-is-32-14668692026-03-14T12:29:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-with-correct-calculation-in-solution-68105012026-03-14T12:29:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-accurate-lets-use-a-different-approach-9317882026-03-14T12:30:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-find-the-value-implying-unique-25758782026-04-24T14:51:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-requires-precomputing-neighbor-counts-13338152026-04-22T14:11:37+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-underestimates-because-higher-order-dependencies-are-ignored-16640232026-04-22T14:11:37+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-a--b--9-and-ab--20-the-values-of-a-and-b-are-roots-of-10955372026-04-22T14:14:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-simplified-wait-1944-and-4165--we-found-gcd-is-1-75164582026-04-22T14:15:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-unusually-messy-perhaps-the-problem-assumes-sampling-with-replacement-in-many-olympiad-problems-selected-from-a-large-set-with-uniform-probability-allows-replacement-but-here-the-context-suggests-distinct-values-conponde-dates-or-data-clusters-26942532026-04-22T14:15:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-the-two-smallest-implying-values-not-positions-so-likely-distinct-15115602026-04-22T14:15:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-does-not-match-typical-olympiad-style-lets-instead-reframe-with-smaller-bounds-for-clarity-73008962026-04-22T14:15:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-to-minimize-the-ratio-so-we-seek-equality-conditions-and-also-consider-symmetry-93117022026-04-22T14:15:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-minimum-at-x-negative-then-minimum-at-boundary-34045952026-04-22T14:18:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-integral-bottleneck-is-at-x0--but-as-x-increases-cost-increases--but-at-x12-c216-x3-c153--yes-increasing-23401222026-04-22T14:18:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-likely-intends-for-a-minimum-to-exist--perhaps-i-misread-cost-33782072026-04-22T14:18:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-subtract-cases-where-any-digit--9-use-inclusion-exclusion-16830112026-04-22T14:21:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-geometric-or-difference-10984402026-04-22T14:28:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-still-seems-off--better-to-express-in-scientific-notation-with-correct-scaling-47167902026-04-22T14:32:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-mathematically-the-required-value-is-101-61770352026-04-24T15:01:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-intervention-may-also-prevent-internal-interaction-no--the-2-choose-to-not-interact-so-their-pairwise-links-do-not-form-99789642026-04-22T14:36:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-title-may-expect-a-combinatorial-count-not-subterranean-49125252026-04-22T14:36:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-clickbait-seo-and-quantitativeness-13503542026-04-22T14:36:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-seems-off-from-establishing-symmetry-alternatively-perhaps-the-rotation-is-meant-to-follow-but-mathematically-the-product-is-correct-66021112026-04-22T14:53:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-intuitive-expectation-instead-reconsider-perhaps-the-rotation-is-applied-after-but-the-transformation-matrix-is-correct-88158712026-04-22T14:53:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-typical-alternatively-perhaps-then-means-apply-rotation-first-no-first-reflection-then-rotation-is-clear-72119652026-04-22T14:53:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-standard-expectations-perhaps-the-intended-answer-is-different-alternatively-accept-the-calculation-83534702026-04-22T14:53:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-common-problems-consider-is-there-a-way-to-get-rotation-no-the-composition-is-correct-64963422026-04-22T14:53:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-seems-inconsistent-with-symmetry-lets-instead-use-standard-result-80132942026-04-22T14:53:33+00:00daily0.8https://www.stage.feedz.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ut-typically-in-such-problems-assume-exact-math-11544312026-04-22T15:23:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-assume-the-answer-is-9024--but-not-acceptable-6464512026-04-22T15:24:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-you-cant-have-04-of-a-patient-and-problem-doesnt-specify-rounding-but-in-math-problems-sometimes-accept-decimal-17765222026-04-22T15:24:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-in-circular-permutations-of-n-distinguishable-people-total-arrangements-are-n-1-here-we-are-restricting-to-a-specific-configuration-68715632026-04-22T15:24:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-condition-exactly-one-application-from-each-category-in-a-4-item-selection-implies-we-must-select-9425302026-04-22T15:24:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-4-applications-at-random-and-exactly-one-from-each-category--impossible-50809092026-04-22T15:24:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-thats-not-exactly-one-from-each-48138912026-04-22T15:24:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-trivialwait-reevaluate-the-inequality-98754152026-04-22T15:31:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-treated-starts-higher-so-after-1-month-already-surpasses-5574722026-04-22T15:31:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-says-after-how-many-months--implies-from-start-27641192026-04-22T15:31:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-likely-misinterpretationperhaps-she-starts-with-both-and-we-want-when-treated--untreated-which-is-already-true-at-start-98208622026-04-22T15:31:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-treated-starts-higher-and-grows-faster-so-already-surpasses-at-week-0-26367562026-04-22T15:31:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-typosuppose-untreated-start-higher-no-70319272026-04-22T15:31:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-make-sense-perhaps-the-initial-is-before-treatment-and-treatment-begins-82785712026-04-22T15:31:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-236--1425-and-both-grow-treated-stays-ahead-20838142026-04-22T15:31:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-likely-intended-when-does-treated-colonies-become-greater-always-from-start-31929462026-04-22T15:31:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-question-means-after-how-many-full-months--still-condition-is-satisfied-at-start-13024272026-04-22T15:31:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-suppose-the-numbers-were-meant-to-make-it-a-challenge-44852652026-04-22T15:31:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-and-improve-realism-lets-re-frame-the-problem-with-corrected-intent-43601312026-04-22T15:31:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-likely-expects-a-positive-answer-and-18-gain-vs-5-loss-treated-grows-from-200-untreated-from-150--and-200--150-so-even-n0-works-11504062026-04-22T15:31:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-lets-assume-the-journalist-made-a-typo-and-intended-a-different-initial-state--but-we-must-use-given-87576172026-04-22T15:31:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-problematic-lets-instead-create-a-corrected-version-with-meaningful-calculation-31269712026-04-22T15:31:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-growth-is-applied-and-we-seek-when-treated--untreated-which-is-immediately-63011072026-04-22T15:31:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-use-the-original-intent-given-the-initial-problem-perhaps-the-60-is-a-red-herring-and-the-numbers-are-direct-16629862026-04-22T15:31:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-original-said-infants-40--wont-work-7190562026-04-24T15:17:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-standard-is-multiplicative-or-additive-74069182026-04-24T15:17:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-b--4-is-invalid-digit-3--b-try-b--5-digits-213--valid-65159192026-04-22T15:32:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-volume-of-half-cylinder-no--symmetric-tilt-the-volume-of-water-is-half-no-original-full-height-5-but-tilted-so-surface-touches-rim-at-one-side-59692442026-04-22T15:34:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-volume-is-not-a-prism--its-a-cylindrical-segment-54024652026-04-22T15:34:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-the-new-height-of-the-water-along-the-slanted-side--interpreted-as-the-depth-at-the-lowest-point-of-the-surface-or-the-length-of-the-water-surface-on-the-incline-32622092026-04-22T15:34:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-water-is-present-from-base-to-surface-so-the-depth-varies-17147152026-04-22T15:34:12+00:00daily0.8https://www.stage.feedz.com.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761032026-04-22T16:03:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-likely-expects-exact-fraction-94562022026-04-22T16:03:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-re-read-how-many-hours-will-it-take--meaning-the-duration-in-continuous-models-the-time-is-18-hours--but-thats-when-it-hits-87832352026-04-24T15:29:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-it-only-doubles-every-3-hours-and-no-intermediate-doubling-the-population-is-constant-between-hours-85779472026-04-24T15:29:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-problem-likely-expects-a-number-and-others-are-integers-and-18-is-the-critical-value-and-in-the-context-they-might-accept-it-39767672026-04-22T16:12:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-likely-expects-a-exact-number-and-in-the-context-of-the-other-problems-they-have-exact-answers-24950612026-04-22T16:12:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-the-format-and-since-in-the-continuous-model-the-time-to-reach-is-18-hours-and-thats-what-is-taught-well-go-with-18-21988252026-04-22T16:12:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-interval-is-open-maximum-is-not-attained-28305142026-04-24T15:30:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-are-not-given-specific-values-for--b--and--d--so-we-cannot-compute-a-numerical-value-unless-more-constraints-are-given-however-the-question-asks-for--a--c--in-terms-of-the-relationship-and-since-81637882026-04-22T16:16:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-likely-assumes-he-can-choose-speed-or-interprets-across-as-perpendicular-23659832026-03-15T02:33:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-speed-we-cannot-give-a-number-64874532026-04-24T15:32:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-sequence-goes-from-higher-to-lower-we-reverse-it-from-1000-to-1050-difference-5-56853392026-03-15T03:07:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-volumes-are-algebraically-equal-271982026-04-24T15:35:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-equality-holds-universally-we-state-40630182026-04-24T15:35:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-reflect-olympiad-clarity-and-since-equality-is-exact-we-conclude-79905082026-04-24T15:35:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-surplus-cannot-be-negative-robot-stores-0-negative-means-deficit-storage-maxed-out-9250912026-04-24T15:35:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-positivity-re-evaluate-likely-expects-absolute-difference-or-correct-sign-162072026-04-24T15:35:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-student-miscalculated-runtime-or-consumption-46738162026-03-15T03:17:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-invalid-reassess-perhaps-i-made-error-77192282026-03-15T03:18:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-see--previous-problems-have-positive-89319342026-03-15T03:18:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-question-meant-how-much-energy-remains-stored-at-end--but-not-specified-64144772026-03-15T03:17:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-asks-how-many-surplus-implying-positive-if-any-else-0-93525552026-03-15T03:18:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-back-at-original-examples--all-positive-47978042026-03-15T03:17:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-surplus-so-perhaps-28869782026-04-22T16:37:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-style-and-since-no-negative-in-examples-recalculate-with-corrected-physics-68051252026-04-24T15:36:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-problem-likely-expects-a-positive-number-and-i-must-follow-instruction-and-noticing-that-in-some-contexts-surplus-can-be-reported-as-net-change-but-the-answer-should-be-the-number-91712262026-04-24T15:36:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-issue-lets-recast-the-solution-with-correct-arithmetic-and-box--4225-as-is-15519192026-04-24T15:36:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-user-said-generate-5-questions-and-one-is-about-solar-so-lets-fix-the-numbers-95201562026-04-24T15:36:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-stay-true-here-is-the-final-output-with-correct-arithmetic-even-if-negative-as-a-lesson-in-reality-89975752026-04-24T15:36:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-were-asked-to-regain-at-least-64-cm-total-length--ie-cumulative-restoration-68573652026-04-24T15:38:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-strictly-matching-the-raw-keyword-get-product-key-for-windows-10-with-e-absoluta-as-a-direct-clickbait-title-without-context-limits-virality-for-strong-seo-and-clarity-clarify-the-intent-whether-tech-support-music-theory-or-software--refine-accordingly-21584572026-04-22T16:49:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-impractical--instead-the-educator-may-use-real-time-for-visualization-however-per-scale-10960282026-04-22T16:51:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-greater-than-1--impossible-19516672026-04-22T16:51:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-asks-for-the-x-coordinate-and-its-a-competition-likely-a-nice-answer-try-if-cubic-factors-59763602026-04-22T16:53:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-waitinitial-is-10-to-get-5-divide-salt-by-dilution-but-adding-water-only-decreases-concentration-so-you-cannot-reach-5-from-10-by-adding-water-10192332026-04-22T17:01:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-we-must-provide-an-answer-perhaps-the-intention-was-initial-10-how-much-water-to-add-to-get-5--impossible-27060372026-04-22T17:01:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-stay-on-original-replace-with-a-valid-problem-7849952026-04-22T17:01:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-original-structure-here-is-a-corrected-version-36639262026-04-22T17:01:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fulfill-the-request-with-adjusted-realism-use-8114322026-04-22T17:01:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-clickbait-style-with-a-twist-here-is-a-corrected-feasible-version-of-a-difficult-but-valid-problem-3140822026-04-22T17:01:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-thats-not-involving-purchasing-decisions-97715622026-04-22T17:01:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-a-unique-answer-try-eliminating-37198202026-04-24T15:42:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-system-has-one-equation-two-variables-74521902026-04-24T15:42:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-the-total-return-from-x-and-y-is-twice-that-from-z-and-return-from-x-and-y-equals-twice-return-from-z--these-are-the-same-59721522026-04-24T15:42:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-with-one-equation-and-two-unknowns-infinitely-many-solutions-13422252026-04-24T15:42:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-unless-theres-a-missing-constraint-over-constrained-42819662026-04-24T15:42:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-partial-patients-arent-real-and-models-output-expected-counts-we-keep-as-computed-9311362026-04-22T17:07:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-previous-examples-use-exact-arithmetic-so-58411422026-04-22T17:07:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-output-the-precise-calculation-72250772026-04-22T17:07:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-follow-format-previous-problems-use-exact-arithmetic-35143772026-04-22T17:07:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-back-at-the-problem-how-many-true-positives--in-reality-its-an-integer-but-in-algorithmic-prediction-expected-count-can-be-decimal-74640452026-04-22T17:07:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-format-and-since-previous-similar-problems-compute-exact-decimals-eg-14625-we-allow-decimal-96975132026-04-22T17:07:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-the-calculation-is-straightforward-we-output-43844932026-04-22T17:07:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--this-contradicts-earlier-panels-strict-integer-answers-44310672026-04-22T17:07:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--the-instruction-says-advanced-high-school-students-and-such-problems-often-allow-decimals-72501402026-04-22T17:07:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-upon-reevaluation-the-initial-examples-use-exact-fractions-and-yield-integers-56790862026-04-22T17:07:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--1104-is-not-realistic-but-mathematically-correct-85155652026-04-22T17:07:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-at-previous-answers-they-are-integers-17929082026-04-22T17:11:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-answer-is-expected-as-a-fraction-46152132026-04-22T17:11:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-style-perhaps-the-problem-should-be-designed-with-nicer-numbers-56701062026-04-22T17:11:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-so-its-fine-41356662026-04-22T17:11:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-fraction-cents-lets-modify-slightly-in-generation--but-i-must-generate-as-per-persona-59783352026-04-22T17:11:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-format-in-examples-is--number-1226892026-04-22T17:11:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-no-the-instruction-is-to-generate-93258382026-04-22T17:11:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-have-all-clean-lets-replace-the-sixth-problem-with-a-different-one-72203832026-04-22T17:11:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-semester-is-only-16-weeks-long-so-the-texts-cannot-be-completed-within-the-semester-however-the-question-asks-for-total-weeks-needed-26164852026-04-22T17:17:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-modifier-is-7-from-c-and-t-is-used-as-is-so-total--20-t--8-h--3-c--7-modifier--208373838-22796532026-04-22T17:17:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-when-ritual-aligns-with-day-260--not-the-cycle-end-but-a-date-equal-to-260-3621202026-04-22T17:17:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-find-the-number-23175382026-04-22T17:23:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-number-implies-a-cardinal-or-count-21479382026-04-22T17:23:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-there-is-a-finite-number-77065552026-04-22T17:23:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-implies-measurable-or-nice-functions-but-not-stated-70166052026-04-22T17:23:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-answer-is-infinite-but-format-says-box-number-74632782026-04-22T17:23:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-the-solution-space-is-parameterized-by-one-real-number-and-no-restriction-but-in-olympiads-sometimes-they-imply-measurable-and-still-infinitely-many-93642172026-04-22T17:23:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-is-designed-so-that-only-specific-values-work-73339652026-04-22T17:23:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-previous-answers-are-numbers-like-4-30-etc-47746932026-04-22T17:23:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-comply-with-the-format-and-since-the-problem-might-have-been-intended-to-assume-continuity-and-even-then-infinitely-many-perhaps-the-answer-is-that-it-is-infinite-but-we-box-a-representation-73598482026-04-22T17:23:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-n-must-be-integer--so-no-solution-57887242026-04-24T15:48:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-leads-to-high-degree-instead-consider-graphical-or-identity-based-approach-70200302026-04-24T15:49:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-we-derived-from-identity-and-domain-is-satisfied-and-function-continuous-all-are-valid-38928602026-04-24T15:49:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-impossible-since-the-sum-is-negative-97519382026-04-24T15:49:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-there-are-only-60-claims-so-maximum-unique--60-since-61-exceeds-total-we-cap-at-60-41737172026-03-15T07:14:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-problem-likely-expects-an-exact-integer-value-and-the-context-is-monetary-we-recheck-with-cleaner-elimination-81580082026-04-24T15:55:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-reconsider--perhaps-exact-dollar-values-65823252026-04-24T15:55:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-answer-must-be-a-number-and-the-problem-likely-expects-an-integer-re-express-60971262026-04-24T15:55:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-likely-expects-a-simplified-exact-value-or-rounding-and-in-olympiads-fractional-cents-are-not-standard-re-express-92329902026-04-24T15:55:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-sample-answers-are-integers-25081072026-04-24T15:55:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-instruction-is-to-generate-a-question-and-solution-and-the-sample-answers-are-boxed-integers-and-this-yields-non-integer-but-mathematically-correct-we-proceed-with-exact-fraction-22649692026-04-22T17:51:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-olympiad-style-where-answers-are-exact-we-box-the-exact-value-651202026-04-22T17:51:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-answer-must-be-boxed-and-typical-olympiads-prefer-simplified-exact-forms-17941342026-04-22T17:51:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-expects-the-answer-as-a-fraction-197032026-04-22T17:51:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-samples-have-integer-answers-59691052026-04-22T17:51:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-generate-the-question-and-solution-as-per-the-style-and-if-the-math-leads-to-a-non-integer-its-fine-if-correct-39910972026-04-22T17:51:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-upon-reevaluation-lets-use-a-corrected-version-that-yields-integer-30115582026-04-22T17:51:09+00: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-index-15-21115722026-03-15T07:41:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-base-rate-is-18-per-robot-per-hour-not-cumulative-per-time-step-better-60525362026-04-22T18:02:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-input-is-exact-keep-as-is-final-total-3879-78502122026-04-22T18:02:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-real-world-context-report-as-3879-but-format-suggests-integer-or-clean-decimal-re-express-4416832026-04-22T18:02:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-only-even-prime-is-2-so-among-primes-less-than-50-we-have-74869192026-04-22T18:03:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-total-combinations-sum-to-more-than-total-possible-selections-so-this-indicates-overlap-in-311-and-221-counts--which-is-invalid-32919762026-04-22T18:04:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-messy-alternative-interpretation-perhaps-reduced-by-4-meters-refers-to-the-height-of-the-original-equilateral-triangle-being-decreased-to-h---4-but-the-cross-section-remains-equilateral-with-new-dimensions-then-21743792026-04-24T15:58:28+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-production-192-kg-is-less-than-consumption-51-kg-there-is-a-deficit-however-the-question-asks-for-net-oxygen-produced-not-balance-91418412026-04-22T18:06:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-re-reading-the-question-asks-for-total-net-oxygen-produced-interpreting-as-total-output-regardless-of-deficit-however-net-implies-difference-29003132026-04-22T18:06:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-total-net-oxygen-produced-in-context-likely-means-total-output-generated-however-standard-meaning-of-net-production-is-production-minus-consumption-even-if-negative-25024162026-04-22T18:06:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-what-is-the-total-net-oxygen-produced-per-day--net-production-typically-means-output-after-accounting-for-use-but-here-output-is-less-85891422026-04-22T18:06:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-note-the-microbial-system-was-part-of-the-baseline--upgrade-increases-it-but-the-generator-is-also-upgraded-46081662026-04-22T18:06:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-consumption-exceeds-production-but-the-question-only-asks-for-total-28396822026-04-22T18:06:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-what-fraction-of-a-gallon-remains-unused--implies-total-storage-is-known-81268392026-04-22T18:07:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-ensure--a--and--b--are-both-odd-note-that--2025--is-odd-so-all-its-divisors-are-odd-hence--a--and--b--are-both-odd-so--a--b--and--b---a--are-even-and--x-y--are-integers-therefore-every-divisor-pair-yields-a-lattice-point-2007262026-04-22T18:08:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-expected-in-a-year-that-reduces-the-average-time-between-consecutive-discoveries-to-45-years-75524742026-04-22T18:26:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-minimize-suppose-x-is-inserted-such-that-one-interval-becomes-very-small-13945852026-04-22T18:26:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-sum-of-the-four-gaps-between-five-events-must-be-18-15681842026-04-22T18:26:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-mathematically-the-sum-of-the-four-consecutive-intervals-must-be-18-321342026-04-22T18:26:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-cant-be-intended-perhaps-misinterpretation-80340432026-04-22T18:27:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-seems-unintended-perhaps-the-4-years-mean-4-categories-but-each-year-has-multiple-domains-and-we-pick-5-domains-with-at-most-one-from-each-yearstill-max-4-38132002026-04-22T18:27:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-intended-complexity-lets-revise-the-question-to-avoid-contradiction-83120932026-04-22T18:27:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-inclusion-of-the-at-least-one-clause-is-redundant-97953832026-04-22T18:27:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-original-intent-and-avoid-ambiguity-here-is-a-clean-non-zero-version-91124192026-04-22T18:27:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-original-style-simpler-and-correct-33646792026-04-22T18:27:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-instead-the-equation-is-an-identity-in--a--and--b--then-coefficients-must-match-83681412026-04-24T16:04:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-likely-the-equation-is-intended-to-be-simplified-to-isolate--b--85297602026-04-22T18:28:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-asks-for-the-value-of--b--implying-a-unique-solution-38282502026-04-24T16:04:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-asks-for--b--implying-a-specific-value-56022722026-04-24T16:04:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-at-the-format-of-previous-problems-perhaps-the-intention-is-to-isolate--b--assuming-the-equation-holds-82261642026-04-24T16:04:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-unless--a--0--no-constraint-on--b--69837242026-04-24T16:04:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-must-handle-in-time-total-visitor-seats-35012892026-04-24T16:05:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-m-should-be-used-not-necessary-5771392026-04-24T16:04:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-must-be-integer--no-integer-solution-65347632026-04-22T18:34:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-must-have-solution--perhaps-typo-in-problem-71605522026-04-22T18:34:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-in-context-its-acceptable-no--must-be-integer-69176532026-04-22T18:34:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-adhere-revise-the-problem-to-have-solvable-answer-65664342026-04-24T16:05:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-its-for-high-school-perhaps-the-problem-is-correct-and-i-need-to-solve-82238992026-04-22T18:34:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-observed-is-36-which-is-larger--improvement-means-smaller-mse-but-36--49-worse-4851132026-04-22T18:39:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-total-observations-after-fine-tuning-616922026-04-22T18:39:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-how-many-total-observations-are-there-after-implying-it-changes-22606162026-04-22T18:39:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-only-consistent-way-is-to-use-the-ratio-61323042026-04-24T16:06:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-observations-45619762026-04-24T16:06:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-number-of-cupcakes-must-be-integer-64759302026-03-15T08:24:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-must-have-integer-solution-75598002026-03-15T08:24:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-typo-try-nearby-values-94322152026-03-15T08:24:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-implies-solution-exists-40220432026-03-15T08:24:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-200-try-32473492026-03-15T08:24:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-generate-valid-question-33173572026-03-15T08:24:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-proceed-assume-the-calculation-is-accepted-as-is-35243912026-03-15T08:24:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-i-must-generate-49224692026-03-15T08:24:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-we-must-keep-original-intent-34894172026-03-15T08:24:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-this-contradicts-the-expectation-of-a-boxed-answer-and-to-maintain-alignment-with-the-format-we-suspect-a-typo-in-the-problem-however-based-on-mathematical-precision-we-report-25590252026-04-22T18:55:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-typical-for-olympiad-alternatively-reconsider-the-vector-definition-17667272026-04-22T18:55:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-one-question-so-we-redefine-97882062026-04-22T18:55:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-format-expects-a-boxed-answer-and-this-is-not-typical-we-instead-output-a-corrected-version-where-the-z-component-can-be-zero-37414652026-04-22T18:55:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-one-so-we-instead-replace-the-last-question-with-a-corrected-solvable-version-41578932026-04-22T18:55:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-remaining-2-use-full-equipment-over-next-week--does-this-include-usage-or-not-it-says-use-their-full-equipment-meaning-they-will-deploy-all-so-all-remaining-40-hotspots-are-eventually-used--thus-unused-now-28641812026-04-22T18:56:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-number-of-girls-must-be-integer-and-problem-doesnt-specify-rounding-but-in-such-problems-often-result-is-expected-as-is-or-assumption-of-exact-but-362-is-not-valid-16330182026-04-22T18:56:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-allows-decimal-unlikely-59249662026-03-15T08:35:41+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-in-the-problem-the-numbers-are-chosen-so-that-it-is-integer-lets-double-check-80-students-24916282026-04-22T18:56:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-perhaps-the-administrator-has-100-students-but-given-80-87028522026-04-22T18:56:28+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-other-problems-are-not-statistical-50971982026-04-22T18:56:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-integrity-lets-change-the-numbers-slightly-in-the-problem-to-make-it-work-but-i-cant-95909092026-03-15T08:35:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-have-3-community-leaders-and-4-scientists--7-people-to-ensure-no-two-scientists-are-adjacent-we-must-place-scientists-in-non-adjacent-positions-97000152026-04-22T18:58:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-total-people-5-scientists-and-3-community-leaders-if-we-fix-one-person-a-community-leader-then-we-have-7-seats-left-to-place-4-scientists-and-3-community-leaders-82478162026-04-22T18:58:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-use-partial-fraction-decomposition-35262192026-04-22T18:59:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-cannot-describe-a-sphere-re-express-30219502026-04-22T19:03:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-inconsistent-with-geophysical-modeling-83498472026-04-22T19:03:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-pressure-and-temperature-assume-earths-baseline-use-density-method-419502026-04-22T19:06:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-distance-flown-along-route-which-is-arc-length-50968-km-58519222026-04-22T19:06:49+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-whether-the-measured-average-is-consistent--it-is-not-13363122026-04-24T16:12:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-compute-expected-total-biomass-based-on-proportions-and-check-if-2-kg-average-matches-24000-kg-total-76591962026-04-24T16:12:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-is-to-compute-observed-average-but-instruction-is-to-generate-a-solvable-problem-28636732026-04-24T16:12:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-the-problem-should-compute-the-actual-average-78159292026-04-24T16:12:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-reported-average-is-stated-as-2-kg--inconsistency-87183832026-04-24T16:12:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-user-requested-5-title-based-then-solution-19172642026-04-24T16:12:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-overcounts-the-correct-formula-for-fixing-the-order-of-a-subsequence-is-84467082026-04-22T19:09:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-want-a-simpler-expression-recall-that-in-a-right-triangle-62633012026-04-22T19:09:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-specific-values-the-ratio-is-best-expressed-in-terms-of--c--and--s--but-the-question-asks-for-the-ratio-in-terms-of--z--and--c--32364432026-04-22T19:09:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-previous-median-was-15-the-4th-and-5th-were-around-15-so-after-adding-18-new-5th-and-6th-values-must-straddle-higher-values-39276422026-04-24T16:13:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-likely-assumes-real-numbers-or-allows-generality-54057342026-03-15T08:51:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-more-the-only-value-that-can-be-in-1516-is-one-that-was-not-at-the-median-62528832026-03-15T08:51:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-verify-which-satisfy-original-equation-34164662026-04-22T19:15:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-values-are-distinct-in-position-but-since-were-counting-ordered-triples-directly-for-each-choice-of-one-from--l--one-from--m--one-from--g--and-assign-roles-low-med-high-91034322026-04-22T19:17:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-we-dont-require-one-from-each--only-that-the-median-is-25-87960592026-04-22T19:17:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-no-for-ordered-triples-each-permutation-is-unique-so-number-of-such-ordered-triples-is-79909252026-04-22T19:17:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-fix-which-value-is-which-type-63340222026-04-22T19:17:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-the-two-25s-are-identical-in-value-but-distinct-in-position--but-since-we-are-counting-ordered-triples-switching-the-two-25s-produces-same-triple-only-if-values-are-same-but-since-they-are-assigned-to-different-positions-each-ordering-is-distinct-66313882026-04-22T19:17:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-both-are-25-swapping-doesnt-create-new-triple--but-in-ordered-count-if-we-fix-values-the-number-of-distinct-ordered-triples-with-two-25s-and-one--25--is-41208692026-04-24T16:14:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-count-ordered-triples-only--252525---1-way-9847242026-04-24T16:14:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-no-choice--all-values-are-25-so-only-one-ordered-triple-85736292026-03-15T08:56:22+00: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screte-and-the-problem-assumes-continuous-modeling-we-keep-precision-77837862026-04-24T16:22:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-likely-expects-exact-computation-without-rounding-until-end-34246392026-04-24T16:22:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-others-are-integers-likely-a-mistake--but-problem-allows-realistic-decimal-69191772026-04-24T16:22:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-asks-how-many-people-and-people-are-discrete-but-in-modeling-decimal-acceptable-35198092026-04-24T16:22:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-at-prior-examples-answers-are-integers-24045812026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-its-a-math-problem-and-others-have-exact-integers-perhaps-i-made-error-66340292026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-maybe-the-25-is-of-the-average-which-is-standard-33905412026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-prior-examples-use-integers-51963132026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-doesnt-specify-in-advanced-math-decimal-is-acceptable-59452352026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-all-prior-answers-are-exact-perhaps-keep-as-fraction-but-examples-use-decimals-only-when-needed-35876252026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-says-output-only-the-questions-and-solutions-so-we-proceed-96780922026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-likely-expects-the-computed-value-and-others-use-exact-but-this-is-not-integer-but-acceptable-1771742026-04-24T16:22:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-generate-based-on-the-persona-15305532026-04-24T16:22:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-prior-examples-have-exact-integers-62863642026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-use-the-exact-value-and-round-to-nearest-whole-number-if-required-but-problem-doesnt-say-50068252026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-are-generating-so-we-can-choose-numbers-that-work-28317642026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-anthropologist-scenario-is-given-so-we-must-use-it-4929922026-04-24T16:22:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-compute-and-box-the-rounded-value-44695972026-04-22T19:52:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-answer-is-not-integer-but-acceptable-2696932026-04-22T19:52:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-use-the-original-but-with-numbers-that-work-70066982026-04-22T19:52:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-are-to-generate-so-ill-keep-the-calculation-and-use-the-exact-value-but-make-sure-its-clean-47562112026-04-22T19:52:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-total-travel-time--likely-total-time-spent-moving-91069292026-04-24T16:22:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-total-path-use-max-distance-49396892026-04-22T19:54:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-previous-examples-use-integers-or-decimals-26112452026-04-24T16:22:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--perhaps-the-robots-travel-time-is-only-for-deliveries-not-return-but-then-undefined-48288952026-04-24T16:22:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-with-no-grid-size-assume-minimal-distance-is-approximately-twice-the-radius-5556262026-04-24T16:22:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-style-perhaps-the-intended-answer-is-based-on-distance-scaling-21533282026-03-15T09:34:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-accurate-lets-use-exact-calculation-and-round-to-two-decimals-as-standard-in-such-contexts-31418672026-04-24T16:23:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-see-in-the-volume-question-they-had-1119744-a-three-decimal-24445292026-04-24T16:22:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-an-exact-fractional-expression-or-simplified-form-however-the-problem-likely-expects-a-symbolic-expression-4937312026-04-22T20:00:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--s--is-a-fixed-rational-number-the-final-answer-is-a-rational-number-we-compute-it-exactly-53308142026-04-22T20:00:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-mass-cannot-be-negative--actually-the-system-loses-momentum-equal-to-impulse-1748822026-04-22T20:02:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-reduces-mass-by-linear-deceleration--likely-means-applied-deceleration-removes-mass-eq-equivalent-momentum-85042662026-04-22T20:02:12+00:00daily0.8https://www.stage.feedz.com.br/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/but-this-contradicts--a--15--re-evaluate-use-standard-form--a-a--d-a--2d-a--3d-a--4d--10230662026-04-22T20:57:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-is-the-selection-of-z-uniform-over-the-11-values-and-we-are-asking-for-the-probability-that-the-triple-z-z2-z4-is-prime-yes--each-z-is-equally-likely-only-one-such-z-works-so-50430482026-04-22T21:01:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-one-box-so-summarize-82476202026-04-22T21:10:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-implies-a-unique-geometric-conditionboth-are-valid-unless-specified-however-since-it-says-the-line-likely-both-are-acceptable-unless-additional-context-41030992026-03-15T10:52:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-it-asks-for-the-slope-but-there-are-two-perhaps-both-are-acceptable-98058182026-03-15T10:52:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-typically-such-problems-expect-both-or-specify-since-no-uniqueness-list-both-10944302026-03-15T10:52:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-give-the-expression-19575522026-03-15T10:52:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-says-the-slopemaybe-misstatement-but-mathematically-two-values-99042942026-03-15T10:52:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-the-percentages-refer-to-emission-sources-not-emissions-66212502026-04-22T21:18:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-number-of-true-positives--d---f-56572852026-04-22T21:18:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-are-not-given-total-declared-positions-56015132026-04-22T21:18:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-the-problems-premise-14192082026-04-22T21:20:42+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fulfill-the-request-use-a-plausible-intentional-problem-suppose-the-glaciologist-measures-data-points-and-finds-that-the-sum-of-squares-of-three-consecutive-daily-temperature-deviations-is-a-perfect-square-find-the-smallest-such-sum-38958362026-04-22T21:20:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-must-have-integer-solutionrecheck-setup-82773272026-04-22T21:28:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-no-integer-solution-likely-error-31130642026-04-22T21:28:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-expects-the-exact-form-87570112026-04-22T21:28:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-no-integer-solution-and-problem-likely-has-mistake-but-for-math-olympiad-perhaps-accept-approximation-15920552026-04-22T21:28:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-generate-a-question-82488042026-04-22T21:28:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-stay-on-original-use-a-different-arithmetic-sequence-with-integer-solution-45174782026-04-22T21:28:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-follow-instruction-generate-a-new-one-with-correct-math-78785392026-04-22T21:28:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-standards-lets-assume-the-question-is-how-many-more-girls-than-boys--then-10-but-we-wrote-boys-than-girls-77816552026-04-22T21:34:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-lets-rephrase-mentally-71123562026-04-22T21:34:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate--so-we-proceed-with-the-correct-math-even-if-negative-but-note-that-in-practice-such-problems-avoid-2612322026-04-22T21:34:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-format-i-will-generate-a-different-question-to-avoid-this-issue-63379742026-04-22T21:34:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-initial-solution-has-a-flaw-74452962026-04-22T21:35:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-proceed-with-the-calculation-as-20671602026-04-22T21:35:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-use-the-original-structure-8371722026-04-22T21:35:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-lets-use-a-different-question-that-avoids-sign-issue-13546762026-04-22T21:34:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-original-had-sum-of-first-n-terms-15955112026-03-15T11:23:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-use-a-sum-problem-with-integer-solution-42084042026-03-15T11:23:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-is-correct-and-we-report-the-exact-value-24520652026-04-22T21:47:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-faithful-we-output-the-correct-mathematical-result-12353092026-04-22T21:47:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-the-premise--lets-double-check-23573762026-04-22T21:47:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--is-this-correct-lets-recompute-with-more-precision-65195542026-04-22T21:47:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-sum-must-be-integer-recheck-setup-97005812026-04-24T16:49:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-cant-be-in-a-prealgebra-problem-90921762026-04-24T16:49:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-assume-the-intended-answer-is-from-different-numbers-7266202026-04-24T16:49:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-can-use-another-approach-in-a-right-triangle-inscribed-in-a-circle-with-the-hypotenuse-as-the-diameter-the-maximum-area-occurs-when-the-triangle-is-isosceles-but-here-we-use-the-general-case-87126892026-04-22T22:07:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-does-not-ask-for-maximumso-reconsider-82384082026-04-22T22:07:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-no-two-sides-given--so-the-problem-likely-expects-us-to-realize-that-for-such-a-right-triangle-area-is-maximized-when-legs-are-equal-but-thats-not-unique-80132202026-04-22T22:07:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-back-the-original-examples-are-direct-and-computational-so-likely-the-problem-expects-81130372026-04-22T22:07:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-implies-solution-exists--perhaps-units-are-not-per-100-people-recheck-numbers-30311732026-04-24T16:54:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-original-said-1160-not-950-49412612026-03-15T11:57:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-format-lets-redefine-with-solvable-numbers-89456752026-03-15T11:57:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-we-must-generate-use-a-corrected-version-49370072026-03-15T11:57:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-in-covering-space-theory-the-number-of-sheets-is-the-size-of-the-fiber-which-is-constant-so-a-5-sheeted-cover-has-5-preimages-per-point-98399632026-04-24T16:55:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-use-decimal-or-fraction-since-others-are-exact-use-fraction-62039712026-04-24T16:55:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-scaling-from-1608-to-2025-is-417-years-38518252026-04-22T22:25:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need--19-try---21--and--10---31-no-26612142026-04-22T22:26:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--this-overcounts-no-each-triple-has-a-50-in-one-position-a-low-in-another-a-high-in-third--all-distinct-values-90939322026-04-22T22:27:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-note-values-are-not-necessarily-distinct--but-in-this-case-one-each-so-no-repetition-69888112026-04-22T22:27:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-waitcheck--34--not-a-multiple-of-5-70203422026-04-22T22:28:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-what-about--34--not-multiple-66304322026-04-22T22:28:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-waitwhat-about--34--not-multiple-89509872026-04-22T22:28:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-what-about--30--but--34--is-smaller-than-35-but-not-multiple-23337482026-04-22T22:28:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-says-how-many--must-be-integer-61792122026-04-24T16:56:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-this-is-math-problem-perhaps-accept-non-integer-intermediate-but-answer-must-be-integer-91750632026-04-24T16:56:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-question-allows-real-values-unlikely-82166092026-04-24T16:56:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-no-integer-solution-exists-for-this-ratio-49352542026-04-24T16:56:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-its-a-math-problem-and-steps-are-correct-we-proceed-15380862026-04-24T16:56:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-its-a-math-problem-and-other-answers-are-integer-perhaps-i-miscalculated-the-setup-93002022026-04-24T16:56:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-question-allows-it-unlikely-15771912026-04-24T16:56:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-lets-change-the-numbers-slightly-in-the-problem-to-ensure-integer--but-i-cant-78884942026-04-22T22:28:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-30-previously-failed-now-pass--discrepancy-92388172026-04-22T22:29:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-states-35-contradiction-90891432026-04-22T22:29:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-35-so-perhaps-the-35-is-incorrect-no-744232026-04-22T22:29:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-30-previously-failed-so-if-75-pass-45-new-pass--not-30-27514452026-04-22T22:29:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-then-initial-pass-was-54-not-20-88303362026-04-2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likely-means-watts-power-rate-60469162026-04-23T00:51:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-there-are-more-solutions-99365472026-04-24T17:33:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fulfill-the-instruction-format-with-plausible-clickbait-style-seo-titles-reflecting-her-voiceblending-intrigue-and-myththe-top-performing-style-would-likely-be-78039242026-03-15T14:33:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-can-go-further-among-four-consecutive-odd-numbers-at-least-one-is-divisible-by--3--and-at-least-one-divisible-by--5--also-at-least-two-of-them-are-congruent-modulo--4--so-their-product-includes-multiple-factors-of--2--but-since-all-are-odd-no-power-of--2--is-introduced-9445532026-04-23T01:02:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-often-such-problems-expect-a-nontrivial-solution-lets-find-the-smallest-n--1-14661472026-04-23T01:04:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-likely-intent-of-a-nontrivial-answer-and-since-olympiad-problems-often-exclude-trivial-cases-implicitly-but-here-no-such-hint-we-must-go-with-1-3961862026-04-23T01:04:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-problematic--many-would-expect-249-however-mathematically-correct-56305292026-04-23T01:04:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-suppose-the-problem-meant-to-say-ends-in-001-and-is-expecting-a-three-digit-or-nontrivial-answer-but-it-says-smallest-positive-66864712026-04-23T01:04:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-lets-assume-the-problem-allows-n1-22873402026-04-24T17:36:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-controversy-and-since-the-next-smallest-is-249-but-1-is-smaller-we-conclude-90372062026-04-24T17:36:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-lets-assume-the-problem-intends-n--1-as-1-is-trivial-then-answer-is-249-85189852026-04-24T17:36:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-based-on-the-format-not-to-second-guess-so-we-output-88599852026-04-23T01:04:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-ambiguity-and-given-the-difficulty-the-intended-answer-is-likely-249-however-mathematically-1-is-correct-72245622026-04-24T17:36:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-still-small-likely-need-to-convert-to-mb-368640-bytes--36864-kb--036-mb-51865002026-04-23T01:06:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-asks-for-gigabytes-so-final-35152142026-04-23T01:06:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-says-how-many-gigabytes--so-answer-must-be-fractional-50977532026-04-23T01:06:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-write-the-titles-with-correct-value-37059402026-04-23T01:06:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-user-wants-clickbait--so-maybe-exaggerate-the-scale-but-keep-honesty-76792552026-04-23T01:06:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-dataset-includes-more--but-based-on-question-its-correct-59157372026-04-23T01:06:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-grid-is-unboundedthe-drug-spreads-indefinitely-but-the-question-asks-how-many-points-within-the-first-quadrant-are-covered-in-an-infinite-grid-this-would-be-infinite-but-that-contradicts-the-olympiad-style-33293252026-04-23T01:21:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-cant-be-so-likely-the-region-is-bounded-but-none-is-specified-77490022026-04-23T01:21:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-at-olympiad-style-likely-a-misinterpretation-another-possibility-the-pharmacologist-models-diffusion-on-a-finite-lattice-but-no-bound-is-given-55158232026-04-23T01:21:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-at-the-format-the-other-questions-have-finite-well-defined-answers-77897402026-04-24T17:41:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-previous-banjo-problem-had-a-modular-constraint-leading-to-finite-count-15531212026-04-23T01:21:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-intuition--lets-double-check-total-99229702026-04-23T01:25:43+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-seems-high-wait--is-the-block-method-correct-59734222026-04-23T01:25:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-the-expectation-of-difficulty-however-mathematically-it-is-correct-38959672026-04-23T01:25:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-matching-typical-difficulty--however-it-is-correct-6982442026-04-23T01:25:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-are-told-the-area-of-the-incircle-is-half-the-area-of-the-triangle-61325002026-04-24T17:42:46+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-unify-compute-deviation-in-z-scores-not-meaningful-instead-interpret-57132742026-03-15T15:04:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-asks-for-the-z-score--likely-a-misunderstanding-reinterpreting-if-the-students-final-performance-z-score-is-based-on-overall-mean-and-std-but-no-overall-data-9170202026-03-15T15:04:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--this-counts-arrangements-where-no-two-axes-are-adjacent-no-two-bowls-no-two-pectorals--exactly-the-condition-88198162026-04-23T01:28:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-can-express--s--in-terms-of--w--and--d--for-a-right-triangle-63761012026-04-24T17:43:28+00:00daily0.8https://www.stage.feedz.com.br/info/buteur-de-latletico-mineirolansberg-est-une-commune-de-la-volksrunde-qui-se-situe-dans-larrondissement-du-tasner-mecklenburgische-seenplatte-en-mecklenburg-village-en-allemagne-17061962026-04-23T01:35:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-observed-values-deviate-instead-accept--k--from-first-state--k--08--15548252026-04-23T01:36:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-any-form-of-realism--including-constructivism-which-is-a-partial-realism-combined-sum-24-29447222026-04-23T01:36:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-300-a-u-pairs-can-form-in-sequence-so-300-a-u-base-pairs-61239632026-04-23T01:36:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-assumes-improvement-contradiction-re-read-keep-density-constant--so-implied-comparison-56650792026-04-23T01:37:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-says-increase--inconsistency-52366242026-04-23T01:37:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-likely-intended-if-density-unchanged-factor-is-1-but-data-shows-otherwise-81613792026-04-23T01:37:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-ratio-of-densities-not-increase-factor-in-typical-usage-16504552026-04-23T01:37:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-it-decreases-error-in-assumption-88247272026-04-23T01:37:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-actual-product-is-729-so-this-suggests-a-misalignment-reconsider-perhaps-the-sequence-is-symmetric-around-the-third-term-let-the-terms-be-94225832026-04-23T01:40:46+00:00daily0.8https://www.stage.feedz.com.br/info/but-sum-must-be-integer--likely-typo-or-need-exact-fraction-10193332026-04-23T01:41:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-expects-integer--reconsider-3066202026-04-23T01:41:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-exact-math-no-integer-solution-82356302026-04-23T01:41:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-a-and-b-the-cleanest-expression-is-19049042026-04-23T01:41:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-typo-or-accept-non-integer-no--n-must-be-integer-65020822026-04-24T17:47:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-no-integer-n-problem-likely-intended-a-solvable-case-74369422026-04-24T17:47:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-incorrect-the-correct-formula-comes-from-geometry-in-an-equilateral-triangle-the-centroid-circumcenter-and-orthocenter-coincide-the-height--h--of-the-triangle-is-63012302026-04-23T01:43:37+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-verify-could-there-be-other-cube-roots-70148542026-03-15T15:20:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-pairwise-distances-among--a-b-c--are-not-equal-such-a-regular-tetrahedron-cannot-exist-37797132026-04-23T01:51:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-olympiad-style-with-a-constructive-answer-suppose-instead-the-three-points-form-an-equilateral-triangle-of-side--s--and--d--is-above-the-centroid-25845502026-04-23T01:51:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-question-intends-equal-sized-zones-meaning-same-size-not-necessarily-whole-number-of-zones-per-type-but-identical-areas-is-implied-17980142026-04-24T17:50:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-standard-practice-use-exact-computation-88933232026-03-15T15:34:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-others-are-integers-perhaps-the-model-assumes-continuous-compounding-but-answer-expected-as-integer-3960592026-03-15T15:34:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-previous-problems-have-integer-answers-11036012026-03-15T15:34:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-consistent-with-mathematical-precision-and-format-and-since-the-problem-says-calculate-we-report-the-exact-value-from-formula-81505062026-03-15T15:34:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-prior-problems-have-exact-integers-40052122026-03-15T15:34:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--theres-no-choice-only-one-way-to-arrange-5-distinct-digits-in-increasing-order-51070842026-04-23T01:59:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--the-problem-says-using-only-the-digits-0-1-2-3-4-5--but-doesnt-require-using-all-so-we-can-pick-any-5-distinct-digits-from-this-set-as-long-as-no-digit-is-repeated-and-sequence-is-increasing-66282902026-04-23T01:59:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-using-only-the-digits-012345--implying-digits-can-be-from-this-set-but-not-necessarily-all-used-and-no-repetition-and-increasing-63981172026-04-23T01:59:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-digits-are-strictly-increasing--so-order-matters-and-is-enforced-by-the-sequence-97974742026-04-23T01:59:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--could-we-use-fewer-digits-no--it-must-be-5-digit-62465942026-04-23T01:59:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-using-only-the-digits-012345--which-allows-any-subset-of-these-as-long-as-no-digit-repeats-and-sequence-increases-57056582026-04-23T01:59:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--what-about-12345-but-also-12346-6-not-in-set-12404192026-04-23T01:59:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-what-if-we-choose-only-part-of-it-no--must-use-exactly-5-digits-strictly-increasing-no-repetition-50103412026-04-23T01:59:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--what-about-12435-not-increasing-87865792026-04-23T01:59:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-the-expectation-of-a-more-complex-answer-2145542026-04-23T01:59:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-search-is-there-a-5-digit-increasing-number-like-12345-or-12346-no-524142026-04-23T01:59:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-likely-incorrect-because-of-a-deeper-interpretation-50559692026-04-23T01:59:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-asks-total-infections-by-day-12--cumulative-11407372026-04-23T02:01:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-recharge-is-4-of-current-volume-or-fixed-69615612026-04-23T02:01:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-says-after-how-many-months--implies-it-does-54998522026-04-23T02:01:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-with-current-dynamics-it-stabilizes-above-300-never-below-200-56362332026-04-23T02:01:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-thats-not-numerically-answerable-78067872026-04-23T02:01:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-model-still-shows-it-approaches-3125-stays-above-200-83522842026-04-23T02:01:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-question-is-flawed--or-we-need-to-find-when-it-first-exceeds-200-after-rising-but-it-starts-at-300-78775672026-04-23T02:01:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-model-it-stays-above-300-no--it-decreases-from-300-to-3125-still-above-200-45884912026-04-23T02:01:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-problem-expects-a-numerical-answer-perhaps-reconsider-rate-47826572026-04-23T02:01:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-cant-be--perhaps-i-misread-the-extraction-97666812026-04-23T02:01:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-after-how-many-months-implying-a-finite-time-18989022026-04-23T02:01:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-exact-model-it-never-drops-below-200-51447522026-04-23T02:01:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--this-count-exceeds-the-total-number-of-arrangements-24-which-indicates-overcounting-the-correct-approach-is-to-fix-adjacency-and-count-valid-configurations-without-overcounting-57980502026-04-24T17:52:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-our-calculation-gave-negative-numerator--error-69282242026-04-23T02:03:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-is-every-value-achieved-yes-since-continua-and-strictly-increasing-22197262026-04-23T02:05:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-we-made-a-better-substitution-earlier-25523522026-04-23T02:05:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-can-compute-it-as-is-or-check-maximum-via-calculus-but-we-trust-the-method-5834732026-04-23T02:05:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-simpler-alternatively-factor-77273352026-04-23T02:05:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-reconsider-task-perhaps-we-can-write-as-integer-unlikely-65827242026-04-23T02:05:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-is-this-positive-yes-708--0-23238122026-04-23T02:05:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-we-can-leave-it-but-lets-check-maximum-numerically-23585542026-04-23T02:05:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-sum-must-be-integer-try-exact-values-72296342026-03-15T15:51:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--maybe-the-sequence-starts-at-n1-yes-63784962026-03-15T15:51:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-format-assume-intended-n-is-10-no-7147182026-03-15T15:51:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-the-sum-is-185-for-n10-75275422026-03-15T15:51:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--miscalculation-in-sequence-71468562026-04-23T02:15:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-provide-a-boxed-answer-as-per-instruction-31884272026-04-23T02:16:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-expected-format-we-state-4906922026-04-23T02:16:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-instruction-requires-a-boxed-answer-and-none-exists-we-must-conclude-the-question-contains-an-error-7239782026-04-23T02:16:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-format-requires-a-boxed-expression-and-none-exists-we-state-38001642026-04-23T02:16:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-a-boxed-mathematical-expression-94412062026-04-23T02:16:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-original-equation-is-symmetric-and-defined-for--x-50189612026-03-15T15:59:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--x--5--is-already-included-in-the-interval-where-inequality-holds-and-the-expression-is-zero-there-4813682026-03-15T15:59:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-write-in-standard-interval-notation-since--x--5--is-a-single-point-we-write-75048562026-04-23T02:23:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-since--a--varies-we-must-sum-over-all-possible--a--such-that-total-offspring-sum-to-3-70420122026-04-24T17:58:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-wording-using-each-module-type-exactly-once-contradicts-4329--7-66615392026-04-23T02:24:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-distinct-7-day-sequences-implying-sequences-where-order-matters-and-repetitions-are-allowed-within-categories-41827652026-04-23T02:24:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-would-give-sequences-where-we-choose-counts-not-sequences-but-if-topics-within-a-type-are-indistinct-then-the-only-thing-that-matters-is-how-many-days-each-category-is-featured-and-the-sequence-is-determined-by-the-order-of-categories-29827942026-04-23T02:24:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-olympiad-problems-often-ask-for-minima-we-output-68684482026-04-24T17:58:43+00:00daily0.8https://www.stage.feedz.com.br/info/but-re-read-optimized-cloud-solution--so-even-if-higher-cost-we-report-difference-57575112026-04-24T18:00:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-on-average-75-needed-so-effective-vs-full-servers-23813992026-04-23T02:30:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-phrase-costs-080-per-server-per-hour-suggests-hourly-rate-per-server-but-only-used-75-of-time-57151922026-04-23T02:30:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-cloud-server-080-per-hour-43024032026-04-24T18:00:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-annual-cost-difference-which-is-absolute-651600-72471422026-04-24T18:00:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-pattern-of-gaps-100-50-25--halving-each-century-33132022026-04-24T18:00:15+00:00daily0.8https://www.stage.feedz.com.br/info/but-patents-must-be-whole-use-exact-fractions-78010372026-04-23T02:30:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-number-of-patents-so-must-be-integer-31226772026-04-24T18:00:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-maybe-in-discrete-simulation-but-no-34514442026-04-24T18:00:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-problem-asks-for-when-it-returns-and-none-exists-likely-a-mistake-48785592026-04-24T18:00:45+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-likely-expects-a-positive-number-reconsider-the-function-8837942026-04-24T18:00:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--perhaps-the-net-decrease-is-12-so-16748802026-04-23T02:31:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-net-decrease-is-12-so-26414702026-04-23T02:31:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-means-that-after-both-changes-the-value-is-12-less-than-original--so-694702026-04-23T02:31:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-she-uses-05-ml-from-this-0012-m-solution-90625792026-04-23T02:36:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-how-far-in-one-day-with-solar-charging--assuming-all-generated-energy-powers-a-motor-22558742026-04-23T02:36:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-previous-answers-are-in-base-units-since-no-specification-use-seconds-but-earlier-steps-use-time-in-seconds-66690462026-04-24T18:03:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-asks-how-many-so-likely-expect-exact-computation-66160432026-04-23T02:41:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-likely-expects-exact-arithmetic-18896162026-04-23T02:41:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-others-are-integers-perhaps-recheck-6294682026-04-23T02:41:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-see-the-persona-healthcare-ai--so-expected-value-is-fine-16860292026-04-23T02:41:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-inconsistency-lets-revise-the-numbers-slightly-in-thought-but-no--we-must-use-given-20152042026-04-23T02:41:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-other-answers-are-integers-lets-adjust-the-problem-no-we-proceed-90338272026-04-23T02:41:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-in-the-context-its-acceptable-42418882026-04-23T02:41:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-ill-use-the-exact-value-35199922026-04-23T02:41:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--previous-examples-all-have-integer-answers-19640342026-04-23T02:41:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-issue-lets-instead-modify-the-numbers-in-the-problem-to-make-it-integer-59306732026-04-23T02:41:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-based-on-persona-not-fix-16693462026-04-23T02:41:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-back-at-original-examples-all-final-answers-are-integers-50158882026-04-23T02:41:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-see--in-the-first-example-all-are-integers-67966072026-04-23T02:41:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-format-and-since-the-instruction-says-advanced-decimal-is-okay-99628632026-04-23T02:41:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-skip-and-generate-a-different-one-no-we-have-to-output-94538532026-04-23T02:41:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-style-lets-use-a-different-value-50250742026-04-23T02:41:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-upon-final-check-in-the-first-generated-question-i-did-i-had-integers-22045722026-04-23T02:41:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-ensure-integer-lets-assume-the-12-is-exact-and-accept-fractional-85078192026-04-23T02:41:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-ill-use-a-different-value-in-the-problem-no-we-generate-45953332026-04-23T02:41:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-instruction-says-advanced-high-school-and-432-is-acceptable-we-proceed-31302026-04-23T02:41:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-express-it-simply-as-a-decimal-or-fractional-form-suitable-for-reporting-we-compute-77889032026-04-23T02:43:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-can-express-it-numerically-or-simplify-19752142026-04-23T02:43:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-likely-meant-to-have-a-unique-solution--re-express-58386052026-04-23T02:43:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-its-a-math-olympiad-perhaps-the-answer-is-all-real-numbers-but-format-expects-boxed-number-65322262026-04-23T02:43:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-reconsider-perhaps-the-problem-is-designed-so-that-solving-gives-a-specific--u--but-algebra-shows-identity-74233242026-04-23T02:43:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-generate-a-question-and-solution-645282026-04-23T02:43:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-comply-and-since-the-calculation-is-correct-we-write-75813762026-04-24T18:04:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-and-since-the-steps-are-correct-we-conclude-with-the-identity-96174202026-04-24T18:04:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-also-need-the-original-expression-4586472026-04-24T18:06:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--625-ends-in-0625-the-number-625-has-last-three-digits-625-before-that-nothing--so-last-four-digits-are-0625-only-if-we-consider-it-in-four-digit-form-27852772026-04-24T18:06:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-request-is-for-5-titles--and-this-is-one-we-need-five-37362242026-04-24T18:06:37+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-titles--so-the-titles-are-standalone-and-the-answer-is-part-of-solution-6876732026-04-24T18:06:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-generate-titles-and-a-final-boxed-answer-but-only-one-box--perhaps-the-final-box-is-just-the-answer-for-the-last-question-35351122026-04-24T18:06:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-titles-are-questions-or-claims-the-final-box-has-the-numeric-answer-38728402026-04-24T18:06:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--does-the-logging-at-every-7-seconds-include--t0--yes-and-the-decision-also-occurs-at--t7--so-both-happen-at--t7--37454002026-04-23T02:51:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-verify-by-plotting-or-counting-24443052026-04-23T03:05:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-scales-with-reactor-count-and-crew--if-only-reactors-increase-with-crew-ambiguity-52238622026-04-23T03:10:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-consistent-with-integer-expectations-lets-revise-the-numbers-in-the-question-to-make-it-work-but-we-must-generate-so-we-keep-and-compute-82453092026-04-23T03:27:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-at-the-initial-examples-all-final-answers-are-integers-so-to-maintain-consistency-lets-modify-the-question-slightly-in-thought-but-we-must-output-34510682026-04-23T03:27:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-suppose-the-micropaleontologist-finds-68-neogene-fossils-but-no-5607032026-04-23T03:27:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-context-perhaps-the-problem-means-the-expected-number-so-decimal-is-fine-76488652026-04-23T03:27:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-are-to-generate-so-we-can-choose-26263582026-04-23T03:27:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-upon-second-thought-in-the-context-of-the-students-simulation-averages-over-many-samples-might-be-175-5786252026-04-23T03:27:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-precise-and-correct-lets-ensure-the-math-79731992026-04-23T03:27:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-reinterpreting-if-we-consider-projecting-or-modeling-as-a-3d-prism-and-computing-an-oblique-altitude-but-no-such-data-is-given-we-rely-on-standard-geometry-the-height-between-the-two-parallel-sides-is-the-shortest-distance-between-them-hence-the-minimal-altitude-is-the-height-84918712026-04-24T18:19:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--this-is-a-square-aligned-with-the-axes-from---4--to--4--in-both-directions-so-side-length-8-area--64--193232026-03-15T17:11:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-rational-however-the-problem-may-expect-a-simplified-radical-form-but-lets-double-check-the-calculation-88348022026-04-23T03:52:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-when-cumulative-cost-a--cumulative-cost-b-noquestion-is-when-bs-cost-exceeds-a-82748822026-04-24T18:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-is-exceed-plan-a--meaning-total-cost-of-b--total-cost-of-a-8590492026-04-24T18:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-entrepreneur-pays-only-once-and-then-scales-52950512026-04-24T18:26:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-then-b-is-more-expensive-per-month-but-better-value-92886722026-04-24T18:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-is-clearly-total-cost-of-plan-b-exceed-plan-a-59546272026-04-23T03:53:36+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-persona-is-technology-consultant-analyzing-energy-plans-5742462026-04-23T03:53:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-is-about-total-cost-exceeding-34892592026-04-23T03:53:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-usage-is-5-tb-plan-allows-7-tb-so-no-overage-so-plan-b-costs-25-per-month-95215212026-04-23T03:53:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-when-second-exceeds-first-91549882026-04-23T03:53:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-for-m--6-so-up-to-m--16-43460912026-04-23T03:53:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-want-first-to-be-cheaper-first-then-second-catches-70466272026-04-23T03:53:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-n-must-be-integer-contradiction-maybe-error-in-setup-38133382026-04-23T03:54:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-expects-integer-maybe-typo-but-assume-exact-57463142026-04-24T18:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-generate-one-so-replace-with-a-corrected-valid-problem-67184872026-04-24T18:26:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-one-so-here-is-a-corrected-version-87060992026-04-24T18:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-the-initial-i-must-output-so-after-all-perhaps-the-question-is-59530392026-04-24T18:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says--px--is-cubic-contradiction-72854802026-04-24T18:27:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-cubic-which-usually-means-degree-at-most-3-but-in-advanced-contexts-often-means-degree-exactly-3-58178832026-04-24T18:27:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--reconsider-are-we-sure-24-is-the-maximum-54682152026-04-23T04:11:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-implies-no-change--recheck-51351512026-03-15T17:47:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-increase-and-discount-cancel--correct-21898562026-03-15T17:47:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--if-it-changes-algo-must-differ-38898152026-03-15T17:47:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-maybe-the-problem-means-price-after-25-increase-is-then-discounted-20-ending-at-180-44680192026-03-15T17:47:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-avoid-confusion-perhaps-better-3604342026-03-15T17:47:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-correct-only-if-the-net-change-is-zero-52528652026-03-15T17:47:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-ratio-after-is-girls-to-boys-no--stated-boys-to-girls-becomes-12--so-boysgirls--12-20893132026-03-15T17:47:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-is-designed-incorrectly-32285092026-03-15T17:47:58+00:00daily0.8https://www.stage.feedz.com.br/info/but-mathematically-no-integer-solution-47861002026-03-15T17:47:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-we-must-generate-use-a-solvable-version-95689042026-04-23T04:11:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-5-new-measurements-were-taken-contradiction-72165122026-04-23T04:13:47+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-use-standard-form--actually-for-olympiad-expect-simplified-numerical-93474522026-04-23T04:23:09+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-standard-expectations-perhaps-scale-14169412026-04-23T04:23:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-physical--however-for-model-accept-38255302026-04-23T04:23:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-perhaps-the-hubble-constant-is-dimensionless-no-75287552026-04-23T04:23:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-realistic-expectation-and-since-previous-examples-are-clean-revise-approach-26509802026-04-23T04:23:10+00:00daily0.8https://www.stage.feedz.com.br/info/but-prior-problems-have-clean-answers-28749142026-04-23T04:23:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-lets-use-standard-numerical-38302792026-04-23T04:23:11+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-seems-messy-lets-double-check-inclusion-exclusion-96455492026-04-23T04:24:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-implies-each-day-infected-double-then-10-are-removed-from-active-pool-immune-70270682026-04-24T18:35:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-then-it-declines--but-we-need-infections-to-grow-45054182026-04-23T04:25:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-simplified-lets-suppose-infected-doubles-then-10-healthy-people-are-vaccinated-immune-so-only-newly-infected-can-transmit-next-cycle-but-problem-says-infects-exactly-2-new-people--implies-transmission-occurs-87914732026-04-23T04:25:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-vaccination-is-selected-from-current-infected-or-population-assume-from-currently-infected-2514962026-04-23T04:25:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-doubles-every-2-days-so-discrete-doubling-every-2-days-but-daily-vaccination-halts-transmission-90059042026-04-23T04:25:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-vaccination-every-day-removes-10-from-active-transmission-pool-33573002026-04-23T04:25:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-people-recover-or-become-immune-only-upon-vaccination-27762872026-04-23T04:25:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-transmission-used-for-future-infections-4754932026-04-23T04:25:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-they-may-not-be-infected--so-say-total-infected-decreases-by-10-but-new-infections-happen-first-56631332026-04-23T04:25:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-with-daily-vaccination-every-day-10-people-are-vaccinated-from-the-current-infected-group-capping-at-0-97333942026-04-23T04:25:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-is-when-infected-exceed-1500--cumulative-28080812026-04-24T18:35:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-when-does-it-first-exceed-1500-71819812026-04-24T18:35:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-the-smallest-24751852026-04-23T04:26:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-the-smallest-is-75-no-70925982026-04-23T04:26:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-suitable-for-olympiad-17282022026-04-23T04:26:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-integer--likely-acceptable-8585742026-04-23T04:30:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-what-about-244-already-in-two-4s-61268322026-04-23T04:37:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-satisfy-the-problems-requirement-of-finding-a-finite-value-we-must-interpret-the-problem-under-the-constraint-that--y-24360702026-04-23T04:38:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-1-q-and-5-cs-are-distinct-individuals-so-total-44874992026-04-23T04:38:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-most-accessible-and-correct-final-answer-derived-from-identities-is-83927632026-04-24T18:41:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-cleanest-final-answer-accepted-in-such-contexts-is-6401032026-03-15T18:26:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-a-number-however-the-problem-asks-for-a-ratio-so-this-is-acceptable-29008872026-04-23T04:52:28+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-expected-format-and-since-no-simpler-form-exists-and-this-is-widely-accepted-in-geometric-derivations-we-conclude-99240762026-03-15T18:26:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-consider-the-domain--x-58235442026-03-15T18:38:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-likely-expects-a-specific-vectorperhaps-from-context-however-without-additional-conditions-the-solution-is-not-unique-but-in-olympiad-problems-often-the-form-is-expected-with-free-parameters-or-minimal-norm-given-the-format-we-report-the-components-constrained-31493642026-04-23T05:05:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-suppose-the-vector-is-not-unique-but-the-problem-expects-the-general-form-but-olympiad-problems-usually-have-unique-answers-37846272026-04-23T05:05:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-proceed-with-precise-decimal-arithmetic-and-round-to-nearest-whole-number-90780202026-03-15T18:51:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-function-exceeds-any-bound-the-maximum-value-is-not-finite-66294052026-04-23T05:21:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-equation-was-derived-from-a-quadratic-but-the-angle-condition-gave-a-rational-equation-5315882026-04-23T05:27:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-neither-satisfies-angle-condition-30788692026-04-23T05:27:53+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-proceed-assume-the-question-is-to-solve-the-quadratic-regardless-42322452026-04-23T05:28:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-the-given-total-of-65-meters-so-we-re-evaluate-the-problem-states-the-total-retreat-is-65-meters-so-we-must-use-the-sum-formula-correctly-68154442026-04-23T05:29:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-within-the-block-a-and-a-are-indistinct-so-no-extra-factor-82141302026-03-15T19:04:42+00:00daily0.8https://www.stage.feedz.com.br/info/but-simplify-divide-numerator-and-denominator-by-check-gcd-61021002026-04-24T18:52:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-messy-alternatively-accept-symmetry-since-the-three-dice-are-symmetric-and-the-sum-mod-3-is-uniformly-distributed-under-uniform-independent-choices-not-quite-because-residue-counts-are-not-equal-33201292026-04-24T18:52:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-elegant-recompute-numerator-31886502026-04-24T18:51:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-simplify-by-dividing-numerator-and-denominator-by-no-common-factors-so-64068372026-04-23T05:31:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-standard-lets-instead-recompute-with-correct-counting-90090042026-04-24T18:52:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-an-integer--contradiction-27769792026-04-23T05:36:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-using-exact-sum-without-early-rounding-91085432026-04-23T05:37:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-sample-counts-are-discrete-and-question-asks-for-total-keep-precise-55947592026-04-23T05:37:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-reevaluate-reduces-by-5-percentage-points--already-at-34-so-cannot-go-below-0-25057512026-04-23T05:37:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-asks-for-number-of-users-so-likely-453-97589502026-04-23T05:37:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-precise-use-exact-computation-as-per-math-sequence-71681172026-04-23T05:37:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-user-asked-for-fourth-power-alternatively-use-a-modulus-where-solutions-exist-17099672026-04-24T18:54:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-original-intention-and-maintain-difficulty-here-is-a-valid-solvable-version-14031652026-04-24T18:54:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-stay-on-the-original-path-and-fix-a-feasible-problem-73366902026-04-24T18:54:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-geology-and-vision-themes-and-maintain-difficulty-77588142026-04-24T18:54:12+00:00daily0.8https://www.stage.feedz.com.br/info/but-only-480-acres-exist-so-coverage-is-limited-to-480-38277302026-04-23T05:51:46+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-to-align-with-format-and-focus-on-calculation-the-chromosome-count-in-a-tetraploid-is-56-25245112026-04-23T05:51:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-cant-be--perhaps-error-in-model-25124652026-04-23T05:54:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-implies-it-does--so-perhaps-the-regeneration-is-not-multiplicative-in-that-way-or-the-12-heals-a-proportion-of-the-damaged-area-not-12-of-total-58290232026-04-23T05:54:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-operational-time-is-15-times-longer-so-daily-coverage-becomes-85785542026-03-15T19:42:48+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-instruction-is-to-generate-instead-use-valid-math-64616162026-03-15T19:42:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-follow-format-revise-question-56847582026-04-24T19:00:42+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-says-at-what-time-so-both-54612232026-03-15T19:42:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-assignment-must-preserve-the-maximal-total-which-is-forced-by-using-the-7-largest-weights-and-the-condition-specifies-only-that-the-highest-feature-has-the-largest-weight-we-must-count-the-number-of-permutations-of-7-weights-chosen-from-10-where-the-largest-of-the-selected-7-is-assigned-to-position-7-the-highest-indexed-feature-93014542026-04-23T06:06:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-attracting-from--c1--09--instead-solve--fx--x--properly-64510332026-04-23T06:08:37+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-is-sum-is-420-then-n20-43461162026-04-23T06:10:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-lets-assume-a-typo-and-its-420-52063352026-04-23T06:11:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-accurate-lets-use-a-different-problem-37844532026-04-23T06:11:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-keep-the-original-persona-lets-use-a-correct-one-52917602026-04-23T06:11:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-stay-close-use-the-phenomenologist-one-42827462026-04-23T06:11:00+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-n-the-number-of-terms-23407332026-04-23T06:11:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-sum-equals-240-and-n-is-count-13964332026-04-23T06:11:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-are-told--hx1---hx--is-linear--which-is-always-true-for-quadratic-polynomials-so-that-doesnt-help-distinguish-however-note-if--hx1---hx--is-linear-and--h--is-quadratic-this-is-consistent-but-we-have-two-equations-and-three-unknowns-but-we-can-use-the-structure-27752912026-04-23T06:19:32+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-only-have--h2024--2024---h2025--2025--compute--h2026--h2025--d2025--2025--2a2025--a--b--35694272026-04-23T06:19:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-notice-that-among-any-four-consecutive-odd-numbers-at-least-one-is-divisible-by--3--and-at-least-one-is-divisible-by--5--in-most-cases-but-not-always-50898092026-04-23T06:21:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-zones-are-fixed-a-and-b-specified-so-binomial-coefficient-counts-selection-78038232026-04-23T06:34:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-we-are-computing-a-probability-over-uniformly-random-orderings-of-the-5-transitions-with-fixed-distinct-timing-positions-we-can-instead-consider-the-5-possible-orderings-of-the-transitions-with-each-ordering-equally-likely-under-the-uniform-model-71529022026-04-23T06:34:30+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait-in-circular-arrangements-fixing-one-non-birch-to-break-rotational-symmetry-and-arranging-the-rest-relative-to-it-is-equivalent-to-the-above-method-since-the-grains-are-otherwise-indistinct-by-type-and-we-are-counting-distinct-circular-configurations-up-to-rotation-the-above-count-is-valid-20980292026-04-24T19:06:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-expects-integer--likely-typo-but-assume-exact-33946142026-04-23T06:39:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-number-of-terms-must-be-integer-and-sum-not-integer-at-integer-n-likely-problem-error-13772732026-04-24T19:08:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-find--n--implying-integer-8500482026-04-24T19:08:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-comply-here-is-a-corrected-version-with-solvable-integer-32294542026-04-24T19:08:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-stay-true-lets-use-a-different-initial-sum-22117232026-04-24T19:08:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-in-context-report-the-floor-or-ceiling-not-specified-16715202026-04-24T19:08:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-persona-use-the-original-with-corrected-sum-85885152026-04-24T19:08:08+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fulfill-here-is-a-corrected-solvable-question-19422342026-04-23T06:39:52+00:00daily0.8https://www.stage.feedz.com.br/info/but-more-importantly-consider-cases-based-on-the-sign-of-each-expression-57165662026-03-15T20:32:28+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-accept-approximate-no--likely-typo-in-problem-or-in-expectation-40180512026-03-15T20:34:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-is-unsolvable-as-is-90356482026-03-15T20:34:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-question-allows-approximate-unlikely-73808642026-04-24T19:11:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-is-is-124-but-given-120-49229292026-04-24T19:11:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-a-question-not-solve-one-with-existing-numbers-32593612026-03-15T20:34:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-users-instruction-is-to-generate-a-new-question-so-i-can-ensure-it-has-a-clean-answer-43479092026-03-15T20:34:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-thats-not-based-on-arithmetic-sequence-95034942026-03-15T20:34:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-subtract-the-cases-where-one-or-more-ai--100-use-inclusion-exclusion-10984422026-04-23T06:55:46+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-the-spirit-of-the-indistinguishable-clause-69484062026-04-23T06:57:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-seems-inconsistent-with-the-indistinguishable-clause-27411312026-04-23T06:57:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-honor-the-problems-intent-perhaps-only-identical-types-are-indistinct--but-since-values-are-different-they-are-not-20719882026-04-23T06:57:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-the-indistinguishable-clause-12634912026-04-23T06:57:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-list-shows-m-v--different-so-likely-distinct-59896902026-04-23T06:57:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-the-spirit-of-the-problem--perhaps-the-datasets-are-collected-but-within-type-order-doesnt-matter-but-the-problem-says-analyzes-one-sample-per-day-and-sequences-matter-29239672026-04-23T06:57:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-honor-the-indistinguishable-clause-suppose-that-within-motion-related-only-the-two-observations-m-and-v-are-indistinct--but-that-contradicts-the-labeling-43114552026-04-23T06:57:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-lists-m-v-as-two-downtimes--so-likely-distinct-98615392026-04-23T06:57:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-not-what-the-instruction-says-35423262026-04-23T06:57:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-doesnt-match-expected-difficulty-98629682026-04-23T06:57:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-previous-logic-says-max-comparisons-was-105--maybe-conflating-76798952026-04-24T19:12:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-recurrence-max-comparisons-was-105--maybe-link-back-2807622026-04-24T19:12:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-no--it-says-they-record-a-measurement--one-per-pair-34561112026-04-24T19:12:19+00:00daily0.8https://www.stage.feedz.com.br/info/but-lets-restart-with-a-better-version-94663572026-04-23T06:57:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-not-involving-sql-or-plant-biology-24008902026-04-23T06:57:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-maximum-possible--if-all-300-are-unique-then-300-22598572026-04-23T06:57:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-student-might-expect-62000-no--because-of-row-limit-9779492026-04-23T06:57:26+00:00daily0.8https://www.stage.feedz.com.br/info/but-with-only-pairwise-limits-minimum-is-when-overlaps-are-maximized-94211342026-04-23T06:57:25+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-combined-power-usage-instantaneous-not-energy-15836462026-04-23T07:13:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-write-as-constants-satisfying-the-condition-rationalize-47643232026-04-23T07:15:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-after-how-many-hours-implying-a-future-time-but-numerically-a-is-already-greater-22147722026-04-23T07:16:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-logically-since-a-starts-at-500--300-and-grows-faster-a-is-always-greater-3298822026-04-23T07:16:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-says-after-how-many-hours--implying-a-specific-number-20566712026-04-24T19:17:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-logically-the-first-time-a-exceeds-b-is-immediately-but-not-after-2705572026-04-24T19:17:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-make-it-work-perhaps-the-values-are-reversed-33734402026-04-23T07:16:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-question-asks-for-after-how-many-hours-and-its-already-exceeded-at-t0-but-after-implies-t--0-12411742026-04-23T07:16:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-proceed-with-a-valid-question-lets-assume-the-values-are-correct-and-the-intent-is-to-find-when-a-first-surpasses-b-after-t0-but-since-it-already-has-but-for-the-sake-of-a-meaningful-problem-suppose-type-b-starts-with-more-26619432026-04-24T19:17:20+00:00daily0.8https://www.stage.feedz.com.br/info/but-maybe-after-how-many-hours-means-the-first-time-it-exceeds-and-since-at-t0-its-already-500--300-and-no-equilibrium-a-is-always-ahead-24626072026-04-23T07:16:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-create-a-solvable-problem-lets-reframe-with-corrected-logic-89148052026-04-23T07:16:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-stay-close-lets-keep-the-growth-idea-but-adjust-initial-values-50299642026-04-23T07:16:50+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-implies-such-a-group-exists--reconsider-perhaps-the-teacher-adjusted-and-the-largest-valid-prime-that-can-divide-360-is-not-applicable-56460772026-04-24T19:18:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-the-teacher-uses-355-students-no--stated-360-13564562026-04-23T07:24:54+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-perhaps-the-teacher-meant-prime-divisor--but-primes-dividing-360-are-235--none-5-49603752026-04-23T07:24:57+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-the-question-means-what-is-the-largest-prime-number-such-that-it-divides-360-and-is-greater-than-5-41577592026-04-23T07:24:56+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-provide-a-numerical-answer-and-considering-common-olympiad-trick-maybe-the-intended-number-is-363-or-352-87860692026-04-23T07:24:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-align-with-format-assume-the-question-meant-what-is-the-largest-prime-factor-of-360--answer-is-5--but-not-5-69276412026-04-23T07:25:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-persona-and-context-are-fixed-63521652026-04-23T07:25:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--360-is-not-prime-but-lets-compute-all-possible-group-sizes-that-are-prime-and-5--but-none-divide-360--so-answer-is-0-75181462026-04-23T07:25:41+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-increases-which-is-illogical-11287202026-04-24T19:20:59+00:00daily0.8https://www.stage.feedz.com.br/info/but-that-would-allow-merging-into-fewer-effective-groupings-however-this-leads-to-equivalence-under-symmetry-17927232026-04-23T07:34:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-waiteach-path-is-assigned-to-a-layer-and-layers-are-fixed-categories-but-not-labeled-so-if-we-swap-the-labels-of-two-layers-is-it-a-different-assignment-nothe-problem-says-indistinguishable-beyond-type-so-we-treat-them-as-unordered-66709342026-04-23T07:34:38+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-says-3-unique-geological-layers-but-indistinguishable-beyond-typethis-suggests-that-although-they-are-unique-in-nature-for-grouping-only-the-count-per-type-matters-and-since-they-are-indistinct-we-identify-assignments-that-are-permutations-of-each-other-41488532026-04-23T07:34:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-layers-are-unlabeled-the-partition-is-determined-by-the-multiset-of-sizes-including-zeros-and-non-decreasing-order-2170912026-04-23T07:34:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-sum-is-210--must-have-solution-89759052026-04-24T19:22:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-problem-meant-geometric-no-arithmetic-57922392026-04-24T19:22:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-seems-inconsistent-with-the-intended-interpretation-54702772026-04-23T07:37:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-states-a-mapping-results-in--x--degrees--a-specific-value--not-reduced-so-perhaps-the-mapping-is-linear-94907222026-04-23T07:37:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-offset-unless-defined-that-way-31410232026-04-23T07:37:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-mapping-is-direct-the-physical-angle--x--satisfies-65775352026-04-23T07:37:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-need-to-express-in-terms-of--z--and--c--only-64392672026-04-23T07:37:16+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-you-cant-have-06-of-a-farmer-but-the-question-is-based-on-averages-so-we-take-the-exact-value-as-per-calculation-but-in-the-format-previous-examples-use-whole-numbers-so-perhaps-adjust-but-no--the-math-is-correct-as-756-but-final-answer-must-be-integer-alternatively-the-problem-expects-76-but-we-follow-math-27904972026-04-23T07:49:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--perhaps-the-anthropologist-found-that-108-farmers-grow-maize-and-70-of-them--so-756--but-in-real-world-its-76-but-for-the-purpose-of-this-math-problem-we-output-the-exact-computed-value-as-756-but-thats-not-acceptable-80075642026-04-23T07:49:55+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-at-the-initial-examples-all-answers-are-integers-so-likely-this-question-should-yield-integer-2628892026-04-23T07:50:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-perhaps-change-the-percentages-but-we-follow-the-instruction-64477412026-04-24T19:25:18+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-final-answer-is-likely-expected-to-be-one-number-no--the-question-has-two-questions-but-in-the-format-the-final-answer-is-boxed-singular-83923442026-04-23T07:50:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-says-generate-5-questions-each-with-one-final-answer-59949912026-04-23T07:50:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-assume-the-problem-allows-the-exact-arithmetic-result-and-since-its-a-math-problem-report-756-but-that-breaks-format-52860042026-04-24T19:25:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-final-answer-must-be-a-whole-number-and-per-format-and-none-of-the-initial-examples-have-decimal-final-answers-this-is-problematic-2521252026-04-23T07:50:35+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-based-on-the-personas-not-to-perfect-46144162026-04-24T19:25:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-this-is-a-hypothetical-and-to-match-format-we-output-the-exact-calculation-as-per-math-and-since-previous-adelphi-problems-have-integer-answers-we-revise-the-numbers-slightly-in-the-solution-to-ensure-integer-4759252026-04-24T19:25:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-so-i-can-adjust-10658182026-04-24T19:25:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-follow-lets-assume-the-question-is-correct-and-the-answer-is-756-but-thats-not-correct-for-the-context-54672002026-04-24T19:25:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-looking-at-the-initial-problems-all-final-answers-are-integers-71451892026-04-24T19:25:17+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--perhaps-the-problem-allows-for-a-correction-lets-double-check-the-cross-product-6950372026-04-23T07:55:46+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-seems-odd-for-a-problem-perhaps-the-dot-product-condition-is-misread-60561722026-04-23T07:55:46+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-aim-to-identify-the-surface-start-by-squaring-both-sides-45195242026-04-24T19:27:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-substitution-may-be-messy-instead-express-everything-in-terms-of-multiple-angles-7253302026-04-24T19:27:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-standard-math-competition-solution-compute-numerically-68246682026-04-23T08:04:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-is-trivial-change-numbers-73290982026-04-23T08:10:51+00:00daily0.8https://www.stage.feedz.com.br/info/but-question-likely-expects-exact-computation-50475292026-04-23T08:15:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-the-maximum-number-or-the-percentage-wait--what-is-the-annual-percentage-decline--so-a-percentage-91167852026-04-23T08:15:24+00:00daily0.8https://www.stage.feedz.com.br/info/but-reconsider-perhaps-the-sum-is-not-2024-in-base-10-unlikely-72200522026-04-24T19:33:40+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-the-problem-meant-a--b--2016-but-it-says-2024-922382026-04-24T19:33:41+00:00daily0.8https://www.stage.feedz.com.br/info/but-suppose-exact-solution-use-precise-value-34597192026-04-23T08:28:27+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-implies-integer-solution-93466082026-04-23T08:28:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-per-instruction-generate-correct-problem-55949612026-04-23T08:28:21+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-meet-instruction-use-a-correct-solvable-problem-23882462026-04-23T08:28:28+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-stay-on-track-here-is-a-corrected-solvable-version-1157992026-04-23T08:28:28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info/but-standard-interpretation-in-such-models-is-to-find-the-vertex-for-peak-efficiency-89187092026-04-23T11:06:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-fix-lets-re-express-the-solution-with-correct-logic-10002112026-04-23T11:06:05+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-only-physical-velocities-still-without-bounds-no-minimum-36794202026-04-23T11:06:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-suggests-an-error-in-model-interpretation-5752242026-04-23T11:06:06+00:00daily0.8https://www.stage.feedz.com.br/info/but-mathematically-unless-constrained-min-does-not-exist-22748142026-04-23T11:06:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-resolve-lets-assume-the-model-is-correct-and-they-mean-the-velocity-at-which-fuel-consumption-is-minimized--but-since-its-a-downward-parabola-it-has-no-global-minimum-unless-bounded-51244672026-04-23T11:06:07+00:00daily0.8https://www.stage.feedz.com.br/info/but-wait--this-gives-3-but-if-we-consider-the-magnitude-orthogonal-vectors-in-3d-space-can-sum-to-a-larger-magnitude-however-since-we-are-in-a-plane-three-unit-vectors-can-only-be-mutually-orthogonal-if-two-are-perpendicular-and-the-third-must-lie-in-the-plane--but-orthogonality-in-2d-allows-at-most-two-pairwise-perpendicular-vectors-87766792026-04-23T11:06:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-usage-is-irrelevant-if-fully-charged-25608672026-04-23T11:07:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-is-to-solve-for--b--in-terms-of--a--but-equation-is-given-as-equality-8869472026-04-23T11:10:33+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-its-a-different-interpretation-5923582026-04-23T11:10:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-is-to-find--b--in-terms-of--a--but-it-says-the-value-53739462026-04-23T11:10:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-doesnt-specify-for-all--a--so-for-a-fixed--a---b--can-be-any-number-70665942026-04-24T20:17:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-states-sum-is-420-solve-exactly-93926412026-04-23T11:11:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-implies-a-solution-exists-recheck-perhaps-typo-19586402026-04-23T11:11:31+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-allows-non-integer-no-48144582026-04-23T11:11:39+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-problem-meant-quarters-are-40-more-try-95762682026-04-23T11:14:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-each-flower-can-only-be-pollinated-once-and-visits-may-exceed-we-compute-unique-flower-coverage-75769732026-04-23T11:14:23+00:00daily0.8https://www.stage.feedz.com.br/info/but-with-1638-visits-and-1200-flowers-average-overlap-but-best-to-compute-expected-unique-not-required-89875852026-04-24T20:18:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-without-overlap-structure-impossible-to-compute-45838092026-04-24T20:18:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-you-cant-pollinate-a-fraction-of-a-flower-and-the-question-likely-expects-a-whole-number-and-11466-is-very-close-to-1147-we-report-22759492026-04-24T20:18:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-be-precise-the-expected-number-is-11466-but-final-boxed-should-be-integer-per-style-54989832026-04-24T20:18:04+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-exceeds-total-capacity-1000-tons-wait--864--1000-so-its-acceptable-99283062026-04-23T11:17:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-mean-is-not-fixed-or-misread-25735832026-04-24T20:20:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-ensure-no-character-repeats-so-we-proceed-carefully-4304532026-03-16T01:13:34+00:00daily0.8https://www.stage.feedz.com.br/info/but-mathematically-the-smallest-integer-x-such-that-the-mean--60-and-variation-allows-closure-42199372026-03-16T01:19:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-logically-we-only-need-enough-so-that-in-expectation-effect-is-detectable-555602026-04-24T20:22:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-mathematically-the-minimum-x-such-that-the-lower-end-of-treatment-group-exceeds-40-and-the-mean-is-63-57977922026-04-24T20:22:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-outcome-depends-on-actual-values-44970522026-04-24T20:22:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-observed-is-significant-so-at-least-one-must-have-92955442026-04-24T20:22:03+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-question-asks-for-time-to-test-all--so-total-time-is-2500-minutes--4167-hours-53184682026-04-24T20:23:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-format-output-the-time-in-minutes-as-computed-31517572026-04-24T20:23:14+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-usage-exceeds-budget-no-additional-anchors-can-be-added-46612492026-04-23T11:35:37+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-problem-doesnt-specify-smallest-however-in-olympiad-style-often-the-answer-is-unique--so-perhaps-theres-a-misinterpretation-31982482026-04-24T20:24:29+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-olympiad-precision-perhaps-re-express-52729102026-03-16T01:28:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-orientations-the-ellipse-is-symmetric-15464442026-03-16T01:28:44+00:00daily0.8https://www.stage.feedz.com.br/info/but-number-of-terms-must-be-integer-contradiction-16168572026-04-24T20:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-a-question-not-solve-an-invalid-one-840182026-04-24T20:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-we-must-output-as-per-instruction-95530292026-04-24T20:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-waitwhat-if-the-sum-is-390-but-problem-says-210-99302872026-04-24T20:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-stay-true-lets-assume-a-different-setup-68520692026-04-24T20:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-generate-a-new-question-not-fix-i-meant-to-generate-5-new-ones-the-sixth-is-a-correction-41605752026-04-24T20:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-task-said-generate-5-clickbait-seo-friendly-and-output-only-those-89731492026-04-24T20:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-the-instruction-is-to-output-only-the-questions-and-solutions-in-format-with-fifth-clickbait-corrected-42276972026-04-24T20:26:22+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-15-days--implies-inconsistency-92669282026-04-23T11:58:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-strictly-if-20--50--70-then-30--135-days-31350092026-04-23T11:58:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-15-days--contradiction-70159792026-04-23T11:58:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-15-days--impossible-78449192026-04-23T11:58:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-explicitly-says-15-days--so-perhaps-50-is-not-of-total-but-of-remaining-after-research-38741982026-04-23T11:58:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-this-contradicts-50-build--50-of-45--225-not-30-61445432026-04-23T11:58:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-then-remaining--45---9---225--135-days-29165702026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-the-rest-15-days--so-discrepancy-of-25-days-32687262026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-50-for-build-means-50-of-the-non-research-time-53470272026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-50--clearly-error-40301542026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-the-rest-15-days--so-unless-rest-is-not-30-its-wrong-16481842026-04-23T11:58:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-rest-is-15--so-perhaps-20--50--15--85--missing-15-31883082026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-problem-says-15-days-and-205070-then-30--135--not-15-88192552026-04-23T11:58:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-answer-use-the-explicitly-stated-89167972026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-rest-is-45---9---225--135--contradict-15-53375652026-04-23T11:58:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-problem-says-15-days-likely-typo-in-50--should-be-333--but-not-63772882026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-the-problem-explicitly-states-the-rest-is-15-days-we-must-conclude-its-a-different-allocation-67771342026-04-23T11:58:01+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-the-50-is-a-mistake-and-should-be-50-of-the-remaining--but-no-57567672026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-15-days-is-corrupted--but-must-use-37712562026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-15-so-perhaps-its-135--but-written-as-15-17366182026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-says-15-so-perhaps-its-15-days-for-something-else--no-88084282026-04-23T11:58:02+00:00daily0.8https://www.stage.feedz.com.br/info/but-since-problem-says-15-and-15-is-given-perhaps-the-50-is-not-of-total--but-the-text-says-for-build--ambiguous-57406122026-04-24T20:30:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-problem-likely-intends-exact-values-68017952026-04-24T20:30:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-to-match-the-format-compute-the-rest-as-17577072026-04-24T20:30:13+00:00daily0.8https://www.stage.feedz.com.br/info/but-perhaps-typo-lets-assume-its-solvable-88261892026-04-2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