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ionpoint.org/spotlight/we-solve-the-system-using-the-chinese-remainder-theorem-7146316</loc><lastmod>2026-04-24T14:13:43+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-can-perform-polynomial-long-division-or-rewrite-as-2935606</loc><lastmod>2026-04-22T11:46:15+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-now-check-whether-these-bounds-are-attainable-since--a--achieves-its-full-sine-range-and-the-denominator-achieves-its-full-range-independently-the-extrema-are-attainable-for-some--x--7714282</loc><lastmod>2026-04-24T14:14:52+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-use-recurrence-with-states-based-on-the-number-of-trailing-ones-9198298</loc><lastmod>2026-04-24T14:21:07+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-fix-one-persons-position-to-account-for-rotational-symmetry-in-circular-arrangements-lets-fix-one-scientist-at-a-seat-8245624</loc><lastmod>2026-04-24T14:21:13+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-need-to-determine-the-number-of-ways-to-select-3-states-out-of-5-to-remain-unchanged-and-then-distribute-the-2-particles-among-these-states-such-that-the-particles-occupy-exactly-1-of-the-3-unchanged-states-since-they-must-be-identical-and-indistinguishable-1473368</loc><lastmod>2026-03-14T01:14:10+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-solve-this-system-of-congruences-using-the-chinese-remainder-theorem-3111230</loc><lastmod>2026-04-22T12:23:47+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-to-find-the-sum-of-all-positive-divisors-of-180-that-are-divisible-by-5-9625079</loc><lastmod>2026-04-22T12:23:43+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-analyze-residues-modulo-3-the-numbers-from-1-to-12-modulo-3-fall-into-three-residue-classes-5447012</loc><lastmod>2026-04-24T14:25:24+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-subtract-the-cases-that-violate-the-at-least-one-from-each-category-condition-9599128</loc><lastmod>2026-04-24T14:25:23+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-count-the-number-of-triples-where-the-middle-value-is-at-least-11-5031991</loc><lastmod>2026-04-24T14:25:24+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-to-find-the-maximum-value-of-this-expression-over-all-real-t-1664272</loc><lastmod>2026-04-22T12:29:30+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-given--a---b--4---ab--5--let--s--a--b--then-4651319</loc><lastmod>2026-04-24T14:26:04+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-consider-both-cases-for--s--6--6914618</loc><lastmod>2026-04-24T14:26:05+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-substitute-the-given-values-into-the-gravitational-force-formula-5781857</loc><lastmod>2026-04-22T12:32:50+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-now-select-3-more-fossils-from-the-remaining-11-6-y--5-z--11-but-must-ensure-at-least-1-is-from-y-4602227</loc><lastmod>2026-04-22T12:44:43+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-need-to-count-the-number-of-ways-to-choose-4-positions-from-9-but-order-matters-in-sequence-so-better-to-fix-that-we-are-selecting-and-arranging-with-constraints-4815777</loc><lastmod>2026-04-24T14:30:45+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-proceed-by-counting-valid-type-sequences-with-no-two-ferns-adjacent-then-multiply-by-number-of-ways-to-assign-actual-fossils-4650290</loc><lastmod>2026-04-24T14:30:45+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-can-write-as-a-single-fraction-but-for-olympiad-style-the-expected-form-is-simplified-exact-expression-369513</loc><lastmod>2026-04-22T12:47:14+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-to-choose-4-plant-species-in-total-with-exactly-2-coming-from-a-specific-subgroup-of-3-rare-species-and-the-remaining-2-from-the-other-7-species-8493785</loc><lastmod>2026-04-24T14:31:38+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-arranging-3-red-pens-r-5-blue-pens-b-and-2-green-pens-g-with-the-condition-that-no-two-red-pens-are-adjacent-6784713</loc><lastmod>2026-04-24T14:31:38+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-must-choose-3-of-these-8-gaps-to-place-the-red-pens-ensuring-no-two-are-adjacent-the-number-of-ways-to-choose-3-gaps-from-8-is-3698534</loc><lastmod>2026-04-24T14:31:38+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-to-count-the-number-of-6-letter-words-using-only-a-and-b-such-that-no-two-as-are-adjacent-1392786</loc><lastmod>2026-04-24T14:31:38+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-to-count-the-number-of-8-letter-sequences-using-letters-a-t-c-g-such-that-exactly-two-as-appear-and-no-two-as-are-adjacent-2117560</loc><lastmod>2026-04-24T14:31:37+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-selecting-4-artifacts-from-a-total-of-12-where-8-are-from-the-1960s-and-4-are-not-we-want-exactly-2-of-the-selected-to-be-from-the-1960s-6192404</loc><lastmod>2026-04-24T14:36:04+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-the-number-of-distinct-sequences-of-7-vegetables-selected-from-these-with-the-constraint-that-we-do-not-exceed-the-available-quantities-3596759</loc><lastmod>2026-04-22T13:02:49+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-compute-the-number-of-integer-solutions-to-this-system-and-for-each-valid-combination--c-b-p-z-e--compute-the-number-of-distinct-permutations-5264801</loc><lastmod>2026-04-24T14:36:03+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-iterate-over-all-valid-combinations-under-the-constraints-and-sum-the-multinomial-coefficients-this-is-best-done-systematically-or-via-a-generating-function-5996757</loc><lastmod>2026-04-24T14:36:04+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-selecting-10-individuals-from-100-where-2626681</loc><lastmod>2026-04-22T13:02:50+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-the-number-of-samples-of-size-10-with-5683139</loc><lastmod>2026-04-24T14:36:04+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-subtract-consecutive-equations-to-eliminate--d--6580651</loc><lastmod>2026-04-24T14:36:04+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-solve-this-using-hensels-lemma-first-solve-modulo-5-1040497</loc><lastmod>2026-04-22T13:04:41+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-given-the-trigonometric-equation-8559802</loc><lastmod>2026-04-22T13:11:04+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-rewrite-the-left-hand-side-as-a-single-cosine-function-using-the-identity-8342579</loc><lastmod>2026-04-22T13:11:03+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-given-the-line-in-vector-form-897529</loc><lastmod>2026-04-22T13:11:03+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-already-know--x--y--10--so-we-need-to-find--xy--use-the-identity-1561363</loc><lastmod>2026-04-22T13:11:03+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-compute-the-altitudes-for-each-side-3143479</loc><lastmod>2026-04-24T14:38:28+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-interpret-cgta-using-the-base-4-digit-mapping-5938048</loc><lastmod>2026-04-22T13:14:28+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-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-problem-states-selected-uniformly-based-on-relative-frequency-but-without-specific-weights-and-to-make-it-solvable-we-interpret-that-each-allele-has-equal-chance--or-more-naturally-that-the-selection-is-uniform-over-the-6-alleles-at-each-step-ie-discrete-uniform-3579482</loc><lastmod>2026-04-24T17:42:46+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-count-the-number-of-sequences-of-length-10-with-exactly-3-distinct-alleles-7971335</loc><lastmod>2026-04-24T17:42:47+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-to-count-the-number-of-permutations-of-the-6-distinct-artifacts-such-that-no-two-axes-are-adjacent-no-two-bowls-are-adjacent-and-no-two-pectorals-are-adjacent-8152463</loc><lastmod>2026-04-23T01:27:59+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-use-inclusion-exclusion-over-the-three-forbidden-adjacencies-7858858</loc><lastmod>2026-04-23T01:28:00+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-begin-by-observing-that-the-equation-is-a-perfect-square-trinomial-6363073</loc><lastmod>2026-03-15T15:17:49+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-given-the-symmetric-equation-of-a-line-1982755</loc><lastmod>2026-04-23T01:41:12+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-now-find-how-many-4-digit-numbers-are-divisible-by-12-8368901</loc><lastmod>2026-04-23T01:43:38+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-now-find-the-gcd-of-these-numbers-6-15-28-45-and-66-5546026</loc><lastmod>2026-04-24T17:47:34+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-choosing-3-distinct-energy-sources-from-12-of-which-4-are-fusion-based-and-8-are-non-fusion-4749376</loc><lastmod>2026-04-23T01:45:18+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-must-count-the-number-of-4-digit-numbers-using-exactly-two-distinct-digits-with-no-leading-zero-3577656</loc><lastmod>2026-04-23T01:48:13+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-must-form-a-4-digit-number-using-a-and-0-with-both-digits-appearing-at-least-once-and-the-first-digit-must-be-a-1931172</loc><lastmod>2026-04-23T01:48:13+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-need-to-count-the-number-of-4-digit-sequences-using-both-a-and-b-with-the-first-digit-being-either-a-or-b-4537472</loc><lastmod>2026-04-23T01:48:13+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-selecting-3-distinct-projects-from-10-without-regard-to-order-so-this-is-a-combination-5444953</loc><lastmod>2026-04-23T01:51:22+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-subtract-the-cases-where-the-birds-do-not-come-from-all-regions-this-involves-4086541</loc><lastmod>2026-04-23T01:52:34+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-drawing-3-marbles-from-a-total-of-3819696</loc><lastmod>2026-04-24T17:50:35+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-exactly-2-purple-marbles-and-1-non-purple-marble-either-yellow-or-orange-5554093</loc><lastmod>2026-04-24T17:50:35+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-simplify-this-fraction-first-check-for-common-factors-gcd-of-168-and-455-7319381</loc><lastmod>2026-04-24T17:50:39+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-compute-the-gcd-of-150-225-and-375-8907708</loc><lastmod>2026-04-24T17:50:40+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-seek-the-largest-number-of-zones-per-type-meaning-the-smallest-zone-size-which-corresponds-to-the-gcd-of-the-total-area-and-the-condition-of-equal-division-2814168</loc><lastmod>2026-04-24T17:50:40+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-choosing-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hangefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-to-count-the-number-of-binary-strings-of-length-8-with-exactly-three-1s-no-two-of-which-are-adjacent-213422</loc><lastmod>2026-04-24T17:59:33+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-need-to-choose-3-of-these-6-gaps-to-place-exactly-one-1-in-each-to-avoid-adjacency-9223223</loc><lastmod>2026-04-24T17:59:33+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-seek-the-area-of-intersection-between-the-two-diamonds-1758574</loc><lastmod>2026-03-15T16:07:13+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-can-verify-by-checking-vertices-of-intersection-9031864</loc><lastmod>2026-03-15T16:07:15+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-given-three-independent-events-with-probabilities-of-success-accurate-recording-2085676</loc><lastmod>2026-04-24T18:02:05+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-the-probability-that-exactly-two-of-the-three-texts-are-accurate-there-are-three-mutually-exclusive-cases-6504572</loc><lastmod>2026-04-24T18:02:13+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-analyze-the-systems-stability-by-examining-the-fixed-points-and-eigenvalues-of-the-jacobian-6068842</loc><lastmod>2026-03-15T16:12:29+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-given--x-y-z--0--with--x--y--z--1--and-we-are-to-minimize-4375670</loc><lastmod>2026-04-24T18:03:53+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-given-a-linear-homogeneous-recurrence-relation-6280236</loc><lastmod>2026-04-24T18:03:53+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-pairing-6-distinct-primates-into-3-unordered-pairs-the-total-number-of-ways-to-partition-6-primates-into-3-unordered-pairs-is-1893861</loc><lastmod>2026-04-24T18:06:49+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-choosing-5-artifacts-from-12-of-which-4-are-fragile-and-8-are-not-we-want-exactly-2-fragile-artifacts-among-the-5-selected-4985496</loc><lastmod>2026-04-23T02:51:09+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-the-largest-possible-such--x--1714545</loc><lastmod>2026-04-23T02:51:35+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/wear-ozempatch-every-day-and-watch-the-weight-melt-awayclinically-proven-magic-7572267</loc><lastmod>2026-04-24T18:06:50+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-have-the-following-system-of-equations-based-on-the-given-conditions-2967771</loc><lastmod>2026-04-23T02:52:42+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/wear-a-pedometer-and-witness-rapid-weight-lossheres-how-it-works-2054708</loc><lastmod>2026-04-24T18:12:46+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-have-2-ns-to-place-in-these-4-gaps-this-is-equivalent-to-solving-the-problem-of-placing-2-indistinguishable-ns-into-4-distinguishable-gaps-where-gaps-can-hold-zero-or-more-ns-5747347</loc><lastmod>2026-04-23T03:13:34+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-to-count-the-number-of-binary-like-sequences-of-length-6-using-symbols-l-and-m-where-no-two-ms-are-adjacent-7081424</loc><lastmod>2026-04-23T03:13:35+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-break-this-into-two-mutually-exclusive-cases-4070585</loc><lastmod>2026-04-23T03:22:51+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-compute-the-sequence--cn--iteratively-8088155</loc><lastmod>2026-04-23T03:36:04+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-given-a-finite-difference-equation-1961340</loc><lastmod>2026-04-23T03:36:04+00:00</lastmod><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iority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-analyze-each-term-consider-the-expression-309317</loc><lastmod>2026-04-23T05:46:29+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-selecting-3-distinct-centuries-out-of-10-and-we-want-the-probability-that-both-the-17th-and-19th-century-layers-are-included-4381700</loc><lastmod>2026-04-23T05:47:35+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-arranging-6-vehicles-with-specified-counts-2-autonomous-a-3-electric-e-1-hybrid-h-since-replacement-is-allowed-each-position-has-independent-choice-but-we-are-counting-distinct-sequences--hence-permutations-of-multiset-134300</loc><lastmod>2026-04-23T05:47:36+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-seek-the-number-of-5-digit-numbers-divisible-by-99-5882426</loc><lastmod>2026-04-23T05:47:35+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-apply-the-am-gm-inequality-to-minimize-the-expression-9961208</loc><lastmod>2026-04-23T05:50:08+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-compute-each-months-population-until-it-exceeds-2500-6074569</loc><lastmod>2026-04-23T05:54:39+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-only-want-odd-divisors-which-are-all-of-them-since-189-is-odd-5631051</loc><lastmod>2026-04-23T06:03:45+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-given-the-complex-polynomial-3565436</loc><lastmod>2026-04-23T06:05:44+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-aim-to-find-the-root-w-with-the-largest-imaginary-part-then-compute-the-square-roots-of-w-to-determine-the-corresponding-z-values-and-identify-the-one-with-the-largest-imaginary-part-431425</loc><lastmod>2026-04-23T06:05:58+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-seek-the-least-common-multiple-lcm-of-17-and-23-6091449</loc><lastmod>2026-04-23T06:06:11+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-can-compute-this-by-summing-over-all-possible-7-element-subsets-of-the-10-weights-then-counting-the-number-of-permutations-of-those-7-weights-where-the-maximum-is-in-the-last-position-feature-7-2785589</loc><lastmod>2026-04-23T06:06:35+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-begin-with-5-infected-and-7-susceptible-individuals-the-transmission-rule-each-day-an-infected-person-infects-one-susceptible-via-a-random-pairing-assume-all-infection-pairs-are-equally-likely-over-time-but-the-process-stops-when-no-new-infections-can-occur-however-since-only-5-375517</loc><lastmod>2026-04-23T06:06:31+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-seek-the-smallest-positive--t--so-try--n--0--4232045</loc><lastmod>2026-04-23T06:08:03+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-recognize-this-as-a-difference-of-squares-6654846</loc><lastmod>2026-04-23T06:08:08+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-to-count-the-number-of-8-gate-sequences-using-letters-h-x-c-such-that-8068773</loc><lastmod>2026-04-24T19:01:31+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-arranging-8-distinguishable-wolves-in-a-circle-with-the-condition-that-two-specific-distinguishable-wolves-say-alpha-a-and-alpha-b-must-sit-directly-opposite-each-other-8639536</loc><lastmod>2026-04-24T19:01:31+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-exactly-3-out-of-5-measurements-to-be-perfect-squares-this-is-a-binomial-probability-2593445</loc><lastmod>2026-04-23T06:08:37+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-compute-the-number-of-favorable-outcomes-3341761</loc><lastmod>2026-04-23T06:08:38+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-compute-the-least-common-multiple-of-18-and-30-9655935</loc><lastmod>2026-04-24T19:01:33+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-tried-silly-games-youll-want-to-play-full-time-relatable--hilarious-52242</loc><lastmod>2026-04-23T06:11:44+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/wednesday--90--25--9025115115-477546</loc><lastmod>2026-04-23T06:14:16+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-tested-sintra-aithis-revolutionary-tool-is-changing-everything-5438436</loc><lastmod>2026-04-24T19:02:18+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-tested-skibidi-toilets-gameheres-why-thousands-are-obsessed-you-have-to-see-7213424</loc><lastmod>2026-04-23T06:16:47+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-analyze-the-divisibility-properties-1423064</loc><lastmod>2026-04-23T06:21:31+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-selecting-one-of-3-sectors-each-month-for-6-months-with-equal-probability-for-each-we-are-to-find-the-probability-of-exactly-2-ai-2-biotech-and-2-clean-energy-selections-5907729</loc><lastmod>2026-04-23T06:26:00+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-want-the-number-of-sequences-with-exactly-2-of-each-type-this-is-a-multinomial-coefficient-8526404</loc><lastmod>2026-04-23T06:25:47+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-count-the-number-of-sequences-of-length-5-using-4-tools-where-each-tool-appears-at-least-once-this-is-given-by-the-inclusion-exclusion-principle-4319250</loc><lastmod>2026-04-23T06:25:47+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-tested-snake-gamneheres-why-its-the-hottest-game-right-now-2713013</loc><lastmod>2026-04-23T06:27:49+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-compute--s6-4--using-known-values-or-recurrence-4237596</loc><lastmod>2026-04-23T06:34:29+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-treat-the-pair-of-specific-transitions-as-a-block-there-are-2-ways-to-order-this-block-a-then-b-or-b-then-a-the-block-and-the-remaining-3-transitions-form-4-entities-to-permute-2550796</loc><lastmod>2026-04-23T06:34:30+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-use-the-method-for-circular-arrangements-with-non-adjacency-constraints-2787092</loc><lastmod>2026-04-23T06:34:30+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-need-to-choose-2-positions-from-7-such-that-they-are-not-consecutive-5315676</loc><lastmod>2026-04-24T19:06:34+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-compute-both-compositions-and-set-them-equal-5672306</loc><lastmod>2026-04-23T06:36:24+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-to-count-the-number-of-functions-from-a-set-of-7-days-to-3-subjects-math-science-language-such-that-each-subject-appears-at-least-once-this-is-a-classic-inclusion-exclusion-problem-282417</loc><lastmod>2026-04-23T06:36:21+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-can-rewrite-these-congruences-as-3213099</loc><lastmod>2026-04-23T06:36:26+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-selecting-5-students-from-10-total-with-the-constraint-that-at-least-one-student-comes-from-each-school-total-number-of-ways-to-choose-any-5-students-is-9256716</loc><lastmod>2026-04-23T06:46:38+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-solve-this-congruence-try-small-values-or-use-hensels-lemma-first-solve-modulo-5-1444346</loc><lastmod>2026-04-23T06:53:11+00:00</lastmod><changefreq>daily</changefreq><priority>0.8</priority></url><url><loc>https://docs.decisionpoint.org/spotlight/we-are-to-compute-the-number-of-ways-at-least-4-of-the-7-units-function-this-includes-the-cases-where-exactly-4-5-6-or-all-7-units-are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