第 24250 題：實指數函數

原題與已知條件

E(x)=sum_n>=0 x^n/n!的完整coefficient law與exact rational certificate。操作=exp-finite-partial-sum；資料={"x":[25,26],"cutoff":29}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。

• G001 — E(x)=sum_n>=0 x^n/n!的完整coefficient law與exact rational certificate。操作=exp-finite-partial-sum；資料={"x":[25,26],"cutoff":29}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。

定義與適用範圍

沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。

• mko-real-exponential-function

逐步推導

source roles = [exp-finite-partial-sum]

derived = [[x, cutoff, terms, partial_sums, finite_sum, infinite_value_certificate, boundary]]

source roles = [0]

derived = [1]

(25/26)^0

Exp ORIGINAL x power0 = 1

Exp term0 power over factorial := div(1, 1)

Exp term0 power over factorial = 1

Exp cumulative sum through0 := sum(0, 1)

Exp cumulative sum through0 = 1

Exp term1 factorial step1 := mul(1, 1)

Exp term1 factorial step1 = 1

(25/26)^1

Exp ORIGINAL x power1 = 25/26

Exp term1 power over factorial := div(25/26, 1)

Exp term1 power over factorial = 25/26

Exp cumulative sum through1 := sum(1, 25/26)

Exp cumulative sum through1 = 51/26

Exp term2 factorial step1 := mul(1, 1)

Exp term2 factorial step1 = 1

Exp term2 factorial step2 := mul(1, 2)

Exp term2 factorial step2 = 2

(25/26)^2

Exp ORIGINAL x power2 = 625/676

Exp term2 power over factorial := div(625/676, 2)

Exp term2 power over factorial = 625/1352

Exp cumulative sum through2 := sum(51/26, 625/1352)

Exp cumulative sum through2 = 3277/1352

Exp term3 factorial step1 := mul(1, 1)

Exp term3 factorial step1 = 1

Exp term3 factorial step2 := mul(1, 2)

Exp term3 factorial step2 = 2

Exp term3 factorial step3 := mul(2, 3)

Exp term3 factorial step3 = 6

(25/26)^3

Exp ORIGINAL x power3 = 15625/17576

Exp term3 power over factorial := div(15625/17576, 6)

Exp term3 power over factorial = 15625/105456

Exp cumulative sum through3 := sum(3277/1352, 15625/105456)

Exp cumulative sum through3 = 271231/105456

Exp term4 factorial step1 := mul(1, 1)

Exp term4 factorial step1 = 1

Exp term4 factorial step2 := mul(1, 2)

Exp term4 factorial step2 = 2

Exp term4 factorial step3 := mul(2, 3)

Exp term4 factorial step3 = 6

Exp term4 factorial step4 := mul(6, 4)

Exp term4 factorial step4 = 24

(25/26)^4

Exp ORIGINAL x power4 = 390625/456976

Exp term4 power over factorial := div(390625/456976, 24)

Exp term4 power over factorial = 390625/10967424

Exp cumulative sum through4 := sum(271231/105456, 390625/10967424)

Exp cumulative sum through4 = 9532883/3655808

Exp term5 factorial step1 := mul(1, 1)

Exp term5 factorial step1 = 1

Exp term5 factorial step2 := mul(1, 2)

Exp term5 factorial step2 = 2

Exp term5 factorial step3 := mul(2, 3)

Exp term5 factorial step3 = 6

Exp term5 factorial step4 := mul(6, 4)

Exp term5 factorial step4 = 24

Exp term5 factorial step5 := mul(24, 5)

Exp term5 factorial step5 = 120

(25/26)^5

Exp ORIGINAL x power5 = 9765625/11881376

Exp term5 power over factorial := div(9765625/11881376, 120)

Exp term5 power over factorial = 1953125/285153024

Exp cumulative sum through5 := sum(9532883/3655808, 1953125/285153024)

Exp cumulative sum through5 = 745517999/285153024

Exp term6 factorial step1 := mul(1, 1)

Exp term6 factorial step1 = 1

Exp term6 factorial step2 := mul(1, 2)

Exp term6 factorial step2 = 2

Exp term6 factorial step3 := mul(2, 3)

Exp term6 factorial step3 = 6

Exp term6 factorial step4 := mul(6, 4)

Exp term6 factorial step4 = 24

Exp term6 factorial step5 := mul(24, 5)

Exp term6 factorial step5 = 120

Exp term6 factorial step6 := mul(120, 6)

Exp term6 factorial step6 = 720

(25/26)^6

Exp ORIGINAL x power6 = 244140625/308915776

Exp term6 power over factorial := div(244140625/308915776, 720)

Exp term6 power over factorial = 48828125/44483871744

Exp cumulative sum through6 := sum(745517999/285153024, 48828125/44483871744)

Exp cumulative sum through6 = 116349635969/44483871744

Exp term7 factorial step1 := mul(1, 1)

Exp term7 factorial step1 = 1

Exp term7 factorial step2 := mul(1, 2)

Exp term7 factorial step2 = 2

Exp term7 factorial step3 := mul(2, 3)

Exp term7 factorial step3 = 6

Exp term7 factorial step4 := mul(6, 4)

Exp term7 factorial step4 = 24

Exp term7 factorial step5 := mul(24, 5)

Exp term7 factorial step5 = 120

Exp term7 factorial step6 := mul(120, 6)

Exp term7 factorial step6 = 720

Exp term7 factorial step7 := mul(720, 7)

Exp term7 factorial step7 = 5040

(25/26)^7

Exp ORIGINAL x power7 = 6103515625/8031810176

Exp term7 power over factorial := div(6103515625/8031810176, 5040)

Exp term7 power over factorial = 1220703125/8096064657408

Exp cumulative sum through7 := sum(116349635969/44483871744, 1220703125/8096064657408)

Exp cumulative sum through7 = 7058951483161/2698688219136

Exp term8 factorial step1 := mul(1, 1)

Exp term8 factorial step1 = 1

Exp term8 factorial step2 := mul(1, 2)

Exp term8 factorial step2 = 2

Exp term8 factorial step3 := mul(2, 3)

Exp term8 factorial step3 = 6

Exp term8 factorial step4 := mul(6, 4)

Exp term8 factorial step4 = 24

Exp term8 factorial step5 := mul(24, 5)

Exp term8 factorial step5 = 120

Exp term8 factorial step6 := mul(120, 6)

Exp term8 factorial step6 = 720

Exp term8 factorial step7 := mul(720, 7)

Exp term8 factorial step7 = 5040

Exp term8 factorial step8 := mul(5040, 8)

Exp term8 factorial step8 = 40320

(25/26)^8

Exp ORIGINAL x power8 = 152587890625/208827064576

Exp term8 power over factorial := div(152587890625/208827064576, 40320)

Exp term8 power over factorial = 30517578125/1683981448740864

Exp cumulative sum through8 := sum(7058951483161/2698688219136, 30517578125/1683981448740864)

Exp cumulative sum through8 = 4404816243070589/1683981448740864

Exp term9 factorial step1 := mul(1, 1)

Exp term9 factorial step1 = 1

Exp term9 factorial step2 := mul(1, 2)

Exp term9 factorial step2 = 2

Exp term9 factorial step3 := mul(2, 3)

Exp term9 factorial step3 = 6

Exp term9 factorial step4 := mul(6, 4)

Exp term9 factorial step4 = 24

Exp term9 factorial step5 := mul(24, 5)

Exp term9 factorial step5 = 120

Exp term9 factorial step6 := mul(120, 6)

Exp term9 factorial step6 = 720

Exp term9 factorial step7 := mul(720, 7)

Exp term9 factorial step7 = 5040

Exp term9 factorial step8 := mul(5040, 8)

Exp term9 factorial step8 = 40320

Exp term9 factorial step9 := mul(40320, 9)

Exp term9 factorial step9 = 362880

(25/26)^9

Exp ORIGINAL x power9 = 3814697265625/5429503678976

Exp term9 power over factorial := div(3814697265625/5429503678976, 362880)

Exp term9 power over factorial = 762939453125/394051659005362176

Exp cumulative sum through9 := sum(4404816243070589/1683981448740864, 762939453125/394051659005362176)

Exp cumulative sum through9 = 1030727763817970951/394051659005362176

Exp term10 factorial step1 := mul(1, 1)

Exp term10 factorial step1 = 1

Exp term10 factorial step2 := mul(1, 2)

Exp term10 factorial step2 = 2

Exp term10 factorial step3 := mul(2, 3)

Exp term10 factorial step3 = 6

Exp term10 factorial step4 := mul(6, 4)

Exp term10 factorial step4 = 24

Exp term10 factorial step5 := mul(24, 5)

Exp term10 factorial step5 = 120

Exp term10 factorial step6 := mul(120, 6)

Exp term10 factorial step6 = 720

Exp term10 factorial step7 := mul(720, 7)

Exp term10 factorial step7 = 5040

Exp term10 factorial step8 := mul(5040, 8)

Exp term10 factorial step8 = 40320

Exp term10 factorial step9 := mul(40320, 9)

Exp term10 factorial step9 = 362880

Exp term10 factorial step10 := mul(362880, 10)

Exp term10 factorial step10 = 3628800

(25/26)^10

Exp ORIGINAL x power10 = 95367431640625/141167095653376

Exp term10 power over factorial := div(95367431640625/141167095653376, 3628800)

Exp term10 power over factorial = 3814697265625/20490686268278833152

Exp cumulative sum through10 := sum(1030727763817970951/394051659005362176, 3814697265625/20490686268278833152)

Exp cumulative sum through10 = 17865949177743918359/6830228756092944384

Exp term11 factorial step1 := mul(1, 1)

Exp term11 factorial step1 = 1

Exp term11 factorial step2 := mul(1, 2)

Exp term11 factorial step2 = 2

Exp term11 factorial step3 := mul(2, 3)

Exp term11 factorial step3 = 6

Exp term11 factorial step4 := mul(6, 4)

Exp term11 factorial step4 = 24

Exp term11 factorial step5 := mul(24, 5)

Exp term11 factorial step5 = 120

Exp term11 factorial step6 := mul(120, 6)

Exp term11 factorial step6 = 720

Exp term11 factorial step7 := mul(720, 7)

Exp term11 factorial step7 = 5040

Exp term11 factorial step8 := mul(5040, 8)

Exp term11 factorial step8 = 40320

Exp term11 factorial step9 := mul(40320, 9)

Exp term11 factorial step9 = 362880

Exp term11 factorial step10 := mul(362880, 10)

Exp term11 factorial step10 = 3628800

Exp term11 factorial step11 := mul(3628800, 11)

Exp term11 factorial step11 = 39916800

(25/26)^11

Exp ORIGINAL x power11 = 2384185791015625/3670344486987776

Exp term11 power over factorial := div(2384185791015625/3670344486987776, 39916800)

Exp term11 power over factorial = 95367431640625/5860336272727746281472

Exp cumulative sum through11 := sum(17865949177743918359/6830228756092944384, 95367431640625/5860336272727746281472)

Exp cumulative sum through11 = 15328984489871713592647/5860336272727746281472

Exp term12 factorial step1 := mul(1, 1)

Exp term12 factorial step1 = 1

Exp term12 factorial step2 := mul(1, 2)

Exp term12 factorial step2 = 2

Exp term12 factorial step3 := mul(2, 3)

Exp term12 factorial step3 = 6

Exp term12 factorial step4 := mul(6, 4)

Exp term12 factorial step4 = 24

Exp term12 factorial step5 := mul(24, 5)

Exp term12 factorial step5 = 120

Exp term12 factorial step6 := mul(120, 6)

Exp term12 factorial step6 = 720

Exp term12 factorial step7 := mul(720, 7)

Exp term12 factorial step7 = 5040

Exp term12 factorial step8 := mul(5040, 8)

Exp term12 factorial step8 = 40320

Exp term12 factorial step9 := mul(40320, 9)

Exp term12 factorial step9 = 362880

Exp term12 factorial step10 := mul(362880, 10)

Exp term12 factorial step10 = 3628800

Exp term12 factorial step11 := mul(3628800, 11)

Exp term12 factorial step11 = 39916800

Exp term12 factorial step12 := mul(39916800, 12)

Exp term12 factorial step12 = 479001600

(25/26)^12

Exp ORIGINAL x power12 = 59604644775390625/95428956661682176

Exp term12 power over factorial := div(59604644775390625/95428956661682176, 479001600)

Exp term12 power over factorial = 2384185791015625/1828424917091056839819264

Exp cumulative sum through12 := sum(15328984489871713592647/5860336272727746281472, 2384185791015625/1828424917091056839819264)

Exp cumulative sum through12 = 4782643163224160431921489/1828424917091056839819264

Exp term13 factorial step1 := mul(1, 1)

Exp term13 factorial step1 = 1

Exp term13 factorial step2 := mul(1, 2)

Exp term13 factorial step2 = 2

Exp term13 factorial step3 := mul(2, 3)

Exp term13 factorial step3 = 6

Exp term13 factorial step4 := mul(6, 4)

Exp term13 factorial step4 = 24

Exp term13 factorial step5 := mul(24, 5)

Exp term13 factorial step5 = 120

Exp term13 factorial step6 := mul(120, 6)

Exp term13 factorial step6 = 720

Exp term13 factorial step7 := mul(720, 7)

Exp term13 factorial step7 = 5040

Exp term13 factorial step8 := mul(5040, 8)

Exp term13 factorial step8 = 40320

Exp term13 factorial step9 := mul(40320, 9)

Exp term13 factorial step9 = 362880

Exp term13 factorial step10 := mul(362880, 10)

Exp term13 factorial step10 = 3628800

Exp term13 factorial step11 := mul(3628800, 11)

Exp term13 factorial step11 = 39916800

Exp term13 factorial step12 := mul(39916800, 12)

Exp term13 factorial step12 = 479001600

Exp term13 factorial step13 := mul(479001600, 13)

Exp term13 factorial step13 = 6227020800

(25/26)^13

Exp ORIGINAL x power13 = 1490116119384765625/2481152873203736576

Exp term13 power over factorial := div(1490116119384765625/2481152873203736576, 6227020800)

Exp term13 power over factorial = 59604644775390625/618007621976777211858911232

Exp cumulative sum through13 := sum(4782643163224160431921489/1828424917091056839819264, 59604644775390625/618007621976777211858911232)

Exp cumulative sum through13 = 76977780439493850988802567/29428934379846533898043392

Exp term14 factorial step1 := mul(1, 1)

Exp term14 factorial step1 = 1

Exp term14 factorial step2 := mul(1, 2)

Exp term14 factorial step2 = 2

Exp term14 factorial step3 := mul(2, 3)

Exp term14 factorial step3 = 6

Exp term14 factorial step4 := mul(6, 4)

Exp term14 factorial step4 = 24

Exp term14 factorial step5 := mul(24, 5)

Exp term14 factorial step5 = 120

Exp term14 factorial step6 := mul(120, 6)

Exp term14 factorial step6 = 720

Exp term14 factorial step7 := mul(720, 7)

Exp term14 factorial step7 = 5040

Exp term14 factorial step8 := mul(5040, 8)

Exp term14 factorial step8 = 40320

Exp term14 factorial step9 := mul(40320, 9)

Exp term14 factorial step9 = 362880

Exp term14 factorial step10 := mul(362880, 10)

Exp term14 factorial step10 = 3628800

Exp term14 factorial step11 := mul(3628800, 11)

Exp term14 factorial step11 = 39916800

Exp term14 factorial step12 := mul(39916800, 12)

Exp term14 factorial step12 = 479001600

Exp term14 factorial step13 := mul(479001600, 13)

Exp term14 factorial step13 = 6227020800

Exp term14 factorial step14 := mul(6227020800, 14)

Exp term14 factorial step14 = 87178291200

(25/26)^14

Exp ORIGINAL x power14 = 37252902984619140625/64509974703297150976

Exp term14 power over factorial := div(37252902984619140625/64509974703297150976, 87178291200)

Exp term14 power over factorial = 1490116119384765625/224954774399546905116643688448

Exp cumulative sum through14 := sum(76977780439493850988802567/29428934379846533898043392, 1490116119384765625/224954774399546905116643688448)

Exp cumulative sum through14 = 588418153680981113077791587773/224954774399546905116643688448

Exp term15 factorial step1 := mul(1, 1)

Exp term15 factorial step1 = 1

Exp term15 factorial step2 := mul(1, 2)

Exp term15 factorial step2 = 2

Exp term15 factorial step3 := mul(2, 3)

Exp term15 factorial step3 = 6

Exp term15 factorial step4 := mul(6, 4)

Exp term15 factorial step4 = 24

Exp term15 factorial step5 := mul(24, 5)

Exp term15 factorial step5 = 120

Exp term15 factorial step6 := mul(120, 6)

Exp term15 factorial step6 = 720

Exp term15 factorial step7 := mul(720, 7)

Exp term15 factorial step7 = 5040

Exp term15 factorial step8 := mul(5040, 8)

Exp term15 factorial step8 = 40320

Exp term15 factorial step9 := mul(40320, 9)

Exp term15 factorial step9 = 362880

Exp term15 factorial step10 := mul(362880, 10)

Exp term15 factorial step10 = 3628800

Exp term15 factorial step11 := mul(3628800, 11)

Exp term15 factorial step11 = 39916800

Exp term15 factorial step12 := mul(39916800, 12)

Exp term15 factorial step12 = 479001600

Exp term15 factorial step13 := mul(479001600, 13)

Exp term15 factorial step13 = 6227020800

Exp term15 factorial step14 := mul(6227020800, 14)

Exp term15 factorial step14 = 87178291200

Exp term15 factorial step15 := mul(87178291200, 15)

Exp term15 factorial step15 = 1307674368000

(25/26)^15

Exp ORIGINAL x power15 = 931322574615478515625/1677259342285725925376

Exp term15 power over factorial := div(931322574615478515625/1677259342285725925376, 1307674368000)

Exp term15 power over factorial = 7450580596923828125/17546472403164658599098207698944

Exp cumulative sum through15 := sum(588418153680981113077791587773/224954774399546905116643688448, 7450580596923828125/17546472403164658599098207698944)

Exp cumulative sum through15 = 45896615987123977400664667674419/17546472403164658599098207698944

Exp term16 factorial step1 := mul(1, 1)

Exp term16 factorial step1 = 1

Exp term16 factorial step2 := mul(1, 2)

Exp term16 factorial step2 = 2

Exp term16 factorial step3 := mul(2, 3)

Exp term16 factorial step3 = 6

Exp term16 factorial step4 := mul(6, 4)

Exp term16 factorial step4 = 24

Exp term16 factorial step5 := mul(24, 5)

Exp term16 factorial step5 = 120

Exp term16 factorial step6 := mul(120, 6)

Exp term16 factorial step6 = 720

Exp term16 factorial step7 := mul(720, 7)

Exp term16 factorial step7 = 5040

Exp term16 factorial step8 := mul(5040, 8)

Exp term16 factorial step8 = 40320

Exp term16 factorial step9 := mul(40320, 9)

Exp term16 factorial step9 = 362880

Exp term16 factorial step10 := mul(362880, 10)

Exp term16 factorial step10 = 3628800

Exp term16 factorial step11 := mul(3628800, 11)

Exp term16 factorial step11 = 39916800

Exp term16 factorial step12 := mul(39916800, 12)

Exp term16 factorial step12 = 479001600

Exp term16 factorial step13 := mul(479001600, 13)

Exp term16 factorial step13 = 6227020800

Exp term16 factorial step14 := mul(6227020800, 14)

Exp term16 factorial step14 = 87178291200

Exp term16 factorial step15 := mul(87178291200, 15)

Exp term16 factorial step15 = 1307674368000

Exp term16 factorial step16 := mul(1307674368000, 16)

Exp term16 factorial step16 = 20922789888000

(25/26)^16

Exp ORIGINAL x power16 = 23283064365386962890625/43608742899428874059776

Exp term16 power over factorial := div(23283064365386962890625/43608742899428874059776, 20922789888000)

Exp term16 power over factorial = 186264514923095703125/7299332519716497977224854402760704

Exp cumulative sum through16 := sum(45896615987123977400664667674419/17546472403164658599098207698944, 186264514923095703125/7299332519716497977224854402760704)

Exp cumulative sum through16 = 6364330750214586954397141616087143/2433110839905499325741618134253568

Exp term17 factorial step1 := mul(1, 1)

Exp term17 factorial step1 = 1

Exp term17 factorial step2 := mul(1, 2)

Exp term17 factorial step2 = 2

Exp term17 factorial step3 := mul(2, 3)

Exp term17 factorial step3 = 6

Exp term17 factorial step4 := mul(6, 4)

Exp term17 factorial step4 = 24

Exp term17 factorial step5 := mul(24, 5)

Exp term17 factorial step5 = 120

Exp term17 factorial step6 := mul(120, 6)

Exp term17 factorial step6 = 720

Exp term17 factorial step7 := mul(720, 7)

Exp term17 factorial step7 = 5040

Exp term17 factorial step8 := mul(5040, 8)

Exp term17 factorial step8 = 40320

Exp term17 factorial step9 := mul(40320, 9)

Exp term17 factorial step9 = 362880

Exp term17 factorial step10 := mul(362880, 10)

Exp term17 factorial step10 = 3628800

Exp term17 factorial step11 := mul(3628800, 11)

Exp term17 factorial step11 = 39916800

Exp term17 factorial step12 := mul(39916800, 12)

Exp term17 factorial step12 = 479001600

Exp term17 factorial step13 := mul(479001600, 13)

Exp term17 factorial step13 = 6227020800

Exp term17 factorial step14 := mul(6227020800, 14)

Exp term17 factorial step14 = 87178291200

Exp term17 factorial step15 := mul(87178291200, 15)

Exp term17 factorial step15 = 1307674368000

Exp term17 factorial step16 := mul(1307674368000, 16)

Exp term17 factorial step16 = 20922789888000

Exp term17 factorial step17 := mul(20922789888000, 17)

Exp term17 factorial step17 = 355687428096000

(25/26)^17

Exp ORIGINAL x power17 = 582076609134674072265625/1133827315385150725554176

Exp term17 power over factorial := div(582076609134674072265625/1133827315385150725554176, 355687428096000)

Exp term17 power over factorial = 4656612873077392578125/3226304973714692105933385646020231168

Exp cumulative sum through17 := sum(6364330750214586954397141616087143/2433110839905499325741618134253568, 4656612873077392578125/3226304973714692105933385646020231168)

Exp cumulative sum through17 = 8439102574784546958143482860324129743/3226304973714692105933385646020231168

Exp term18 factorial step1 := mul(1, 1)

Exp term18 factorial step1 = 1

Exp term18 factorial step2 := mul(1, 2)

Exp term18 factorial step2 = 2

Exp term18 factorial step3 := mul(2, 3)

Exp term18 factorial step3 = 6

Exp term18 factorial step4 := mul(6, 4)

Exp term18 factorial step4 = 24

Exp term18 factorial step5 := mul(24, 5)

Exp term18 factorial step5 = 120

Exp term18 factorial step6 := mul(120, 6)

Exp term18 factorial step6 = 720

Exp term18 factorial step7 := mul(720, 7)

Exp term18 factorial step7 = 5040

Exp term18 factorial step8 := mul(5040, 8)

Exp term18 factorial step8 = 40320

Exp term18 factorial step9 := mul(40320, 9)

Exp term18 factorial step9 = 362880

Exp term18 factorial step10 := mul(362880, 10)

Exp term18 factorial step10 = 3628800

Exp term18 factorial step11 := mul(3628800, 11)

Exp term18 factorial step11 = 39916800

Exp term18 factorial step12 := mul(39916800, 12)

Exp term18 factorial step12 = 479001600

Exp term18 factorial step13 := mul(479001600, 13)

Exp term18 factorial step13 = 6227020800

Exp term18 factorial step14 := mul(6227020800, 14)

Exp term18 factorial step14 = 87178291200

Exp term18 factorial step15 := mul(87178291200, 15)

Exp term18 factorial step15 = 1307674368000

Exp term18 factorial step16 := mul(1307674368000, 16)

Exp term18 factorial step16 = 20922789888000

Exp term18 factorial step17 := mul(20922789888000, 17)

Exp term18 factorial step17 = 355687428096000

Exp term18 factorial step18 := mul(355687428096000, 18)

Exp term18 factorial step18 = 6402373705728000

(25/26)^18

Exp ORIGINAL x power18 = 14551915228366851806640625/29479510200013918864408576

Exp term18 power over factorial := div(14551915228366851806640625/29479510200013918864408576, 6402373705728000)

Exp term18 power over factorial = 116415321826934814453125/1509910727698475905576824482337468186624

Exp cumulative sum through18 := sum(8439102574784546958143482860324129743/3226304973714692105933385646020231168, 116415321826934814453125/1509910727698475905576824482337468186624)

Exp cumulative sum through18 = 232323529705833417225086576798029833697/88818278099910347386872028372792246272

Exp term19 factorial step1 := mul(1, 1)

Exp term19 factorial step1 = 1

Exp term19 factorial step2 := mul(1, 2)

Exp term19 factorial step2 = 2

Exp term19 factorial step3 := mul(2, 3)

Exp term19 factorial step3 = 6

Exp term19 factorial step4 := mul(6, 4)

Exp term19 factorial step4 = 24

Exp term19 factorial step5 := mul(24, 5)

Exp term19 factorial step5 = 120

Exp term19 factorial step6 := mul(120, 6)

Exp term19 factorial step6 = 720

Exp term19 factorial step7 := mul(720, 7)

Exp term19 factorial step7 = 5040

Exp term19 factorial step8 := mul(5040, 8)

Exp term19 factorial step8 = 40320

Exp term19 factorial step9 := mul(40320, 9)

Exp term19 factorial step9 = 362880

Exp term19 factorial step10 := mul(362880, 10)

Exp term19 factorial step10 = 3628800

Exp term19 factorial step11 := mul(3628800, 11)

Exp term19 factorial step11 = 39916800

Exp term19 factorial step12 := mul(39916800, 12)

Exp term19 factorial step12 = 479001600

Exp term19 factorial step13 := mul(479001600, 13)

Exp term19 factorial step13 = 6227020800

Exp term19 factorial step14 := mul(6227020800, 14)

Exp term19 factorial step14 = 87178291200

Exp term19 factorial step15 := mul(87178291200, 15)

Exp term19 factorial step15 = 1307674368000

Exp term19 factorial step16 := mul(1307674368000, 16)

Exp term19 factorial step16 = 20922789888000

Exp term19 factorial step17 := mul(20922789888000, 17)

Exp term19 factorial step17 = 355687428096000

Exp term19 factorial step18 := mul(355687428096000, 18)

Exp term19 factorial step18 = 6402373705728000

Exp term19 factorial step19 := mul(6402373705728000, 19)

Exp term19 factorial step19 = 121645100408832000

(25/26)^19

Exp ORIGINAL x power19 = 363797880709171295166015625/766467265200361890474622976

Exp term19 power over factorial := div(363797880709171295166015625/766467265200361890474622976, 121645100408832000)

Exp term19 power over factorial = 2910383045673370361328125/745895899483047097354951294274709284192256

Exp cumulative sum through19 := sum(232323529705833417225086576798029833697/88818278099910347386872028372792246272, 2910383045673370361328125/745895899483047097354951294274709284192256)

Exp cumulative sum through19 = 650351000823196346922220039207741634905177/248631966494349032451650431424903094730752

Exp term20 factorial step1 := mul(1, 1)

Exp term20 factorial step1 = 1

Exp term20 factorial step2 := mul(1, 2)

Exp term20 factorial step2 = 2

Exp term20 factorial step3 := mul(2, 3)

Exp term20 factorial step3 = 6

Exp term20 factorial step4 := mul(6, 4)

Exp term20 factorial step4 = 24

Exp term20 factorial step5 := mul(24, 5)

Exp term20 factorial step5 = 120

Exp term20 factorial step6 := mul(120, 6)

Exp term20 factorial step6 = 720

Exp term20 factorial step7 := mul(720, 7)

Exp term20 factorial step7 = 5040

Exp term20 factorial step8 := mul(5040, 8)

Exp term20 factorial step8 = 40320

Exp term20 factorial step9 := mul(40320, 9)

Exp term20 factorial step9 = 362880

Exp term20 factorial step10 := mul(362880, 10)

Exp term20 factorial step10 = 3628800

Exp term20 factorial step11 := mul(3628800, 11)

Exp term20 factorial step11 = 39916800

Exp term20 factorial step12 := mul(39916800, 12)

Exp term20 factorial step12 = 479001600

Exp term20 factorial step13 := mul(479001600, 13)

Exp term20 factorial step13 = 6227020800

Exp term20 factorial step14 := mul(6227020800, 14)

Exp term20 factorial step14 = 87178291200

Exp term20 factorial step15 := mul(87178291200, 15)

Exp term20 factorial step15 = 1307674368000

Exp term20 factorial step16 := mul(1307674368000, 16)

Exp term20 factorial step16 = 20922789888000

Exp term20 factorial step17 := mul(20922789888000, 17)

Exp term20 factorial step17 = 355687428096000

Exp term20 factorial step18 := mul(355687428096000, 18)

Exp term20 factorial step18 = 6402373705728000

Exp term20 factorial step19 := mul(6402373705728000, 19)

Exp term20 factorial step19 = 121645100408832000

Exp term20 factorial step20 := mul(121645100408832000, 20)

Exp term20 factorial step20 = 2432902008176640000

(25/26)^20

Exp ORIGINAL x power20 = 9094947017729282379150390625/19928148895209409152340197376

Exp term20 power over factorial := div(9094947017729282379150390625/19928148895209409152340197376, 2432902008176640000)

Exp term20 power over factorial = 14551915228366851806640625/77573173546236898124914934604569765555994624

Exp cumulative sum through20 := sum(650351000823196346922220039207741634905177/248631966494349032451650431424903094730752, 14551915228366851806640625/77573173546236898124914934604569765555994624)

Exp cumulative sum through20 = 28987073179548180036326366780168891699579407/11081881935176699732130704943509966507999232

Exp term21 factorial step1 := mul(1, 1)

Exp term21 factorial step1 = 1

Exp term21 factorial step2 := mul(1, 2)

Exp term21 factorial step2 = 2

Exp term21 factorial step3 := mul(2, 3)

Exp term21 factorial step3 = 6

Exp term21 factorial step4 := mul(6, 4)

Exp term21 factorial step4 = 24

Exp term21 factorial step5 := mul(24, 5)

Exp term21 factorial step5 = 120

Exp term21 factorial step6 := mul(120, 6)

Exp term21 factorial step6 = 720

Exp term21 factorial step7 := mul(720, 7)

Exp term21 factorial step7 = 5040

Exp term21 factorial step8 := mul(5040, 8)

Exp term21 factorial step8 = 40320

Exp term21 factorial step9 := mul(40320, 9)

Exp term21 factorial step9 = 362880

Exp term21 factorial step10 := mul(362880, 10)

Exp term21 factorial step10 = 3628800

Exp term21 factorial step11 := mul(3628800, 11)

Exp term21 factorial step11 = 39916800

Exp term21 factorial step12 := mul(39916800, 12)

Exp term21 factorial step12 = 479001600

Exp term21 factorial step13 := mul(479001600, 13)

Exp term21 factorial step13 = 6227020800

Exp term21 factorial step14 := mul(6227020800, 14)

Exp term21 factorial step14 = 87178291200

Exp term21 factorial step15 := mul(87178291200, 15)

Exp term21 factorial step15 = 1307674368000

Exp term21 factorial step16 := mul(1307674368000, 16)

Exp term21 factorial step16 = 20922789888000

Exp term21 factorial step17 := mul(20922789888000, 17)

Exp term21 factorial step17 = 355687428096000

Exp term21 factorial step18 := mul(355687428096000, 18)

Exp term21 factorial step18 = 6402373705728000

Exp term21 factorial step19 := mul(6402373705728000, 19)

Exp term21 factorial step19 = 121645100408832000

Exp term21 factorial step20 := mul(121645100408832000, 20)

Exp term21 factorial step20 = 2432902008176640000

Exp term21 factorial step21 := mul(2432902008176640000, 21)

Exp term21 factorial step21 = 51090942171709440000

(25/26)^21

Exp ORIGINAL x power21 = 227373675443232059478759765625/518131871275444637960845131776

Exp term21 power over factorial := div(227373675443232059478759765625/518131871275444637960845131776, 51090942171709440000)

Exp term21 power over factorial = 363797880709171295166015625/42354952756245346376203554294095091993573064704

Exp cumulative sum through21 := sum(28987073179548180036326366780168891699579407/11081881935176699732130704943509966507999232, 363797880709171295166015625/42354952756245346376203554294095091993573064704)

Exp cumulative sum through21 = 110788593692233144099203171714514675370958509179/42354952756245346376203554294095091993573064704

Exp term22 factorial step1 := mul(1, 1)

Exp term22 factorial step1 = 1

Exp term22 factorial step2 := mul(1, 2)

Exp term22 factorial step2 = 2

Exp term22 factorial step3 := mul(2, 3)

Exp term22 factorial step3 = 6

Exp term22 factorial step4 := mul(6, 4)

Exp term22 factorial step4 = 24

Exp term22 factorial step5 := mul(24, 5)

Exp term22 factorial step5 = 120

Exp term22 factorial step6 := mul(120, 6)

Exp term22 factorial step6 = 720

Exp term22 factorial step7 := mul(720, 7)

Exp term22 factorial step7 = 5040

Exp term22 factorial step8 := mul(5040, 8)

Exp term22 factorial step8 = 40320

Exp term22 factorial step9 := mul(40320, 9)

Exp term22 factorial step9 = 362880

Exp term22 factorial step10 := mul(362880, 10)

Exp term22 factorial step10 = 3628800

Exp term22 factorial step11 := mul(3628800, 11)

Exp term22 factorial step11 = 39916800

Exp term22 factorial step12 := mul(39916800, 12)

Exp term22 factorial step12 = 479001600

Exp term22 factorial step13 := mul(479001600, 13)

Exp term22 factorial step13 = 6227020800

Exp term22 factorial step14 := mul(6227020800, 14)

Exp term22 factorial step14 = 87178291200

Exp term22 factorial step15 := mul(87178291200, 15)

Exp term22 factorial step15 = 1307674368000

Exp term22 factorial step16 := mul(1307674368000, 16)

Exp term22 factorial step16 = 20922789888000

Exp term22 factorial step17 := mul(20922789888000, 17)

Exp term22 factorial step17 = 355687428096000

Exp term22 factorial step18 := mul(355687428096000, 18)

Exp term22 factorial step18 = 6402373705728000

Exp term22 factorial step19 := mul(6402373705728000, 19)

Exp term22 factorial step19 = 121645100408832000

Exp term22 factorial step20 := mul(121645100408832000, 20)

Exp term22 factorial step20 = 2432902008176640000

Exp term22 factorial step21 := mul(2432902008176640000, 21)

Exp term22 factorial step21 = 51090942171709440000

Exp term22 factorial step22 := mul(51090942171709440000, 22)

Exp term22 factorial step22 = 1124000727777607680000

(25/26)^22

Exp ORIGINAL x power22 = 5684341886080801486968994140625/13471428653161560586981973426176

Exp term22 power over factorial := div(5684341886080801486968994140625/13471428653161560586981973426176, 1124000727777607680000)

Exp term22 power over factorial = 9094947017729282379150390625/24227032976572338127188433056222392620323793010688

Exp cumulative sum through22 := sum(110788593692233144099203171714514675370958509179/42354952756245346376203554294095091993573064704, 9094947017729282379150390625/24227032976572338127188433056222392620323793010688)

Exp cumulative sum through22 = 21123691863985786141584436389240041198189139213671/8075677658857446042396144352074130873441264336896

Exp term23 factorial step1 := mul(1, 1)

Exp term23 factorial step1 = 1

Exp term23 factorial step2 := mul(1, 2)

Exp term23 factorial step2 = 2

Exp term23 factorial step3 := mul(2, 3)

Exp term23 factorial step3 = 6

Exp term23 factorial step4 := mul(6, 4)

Exp term23 factorial step4 = 24

Exp term23 factorial step5 := mul(24, 5)

Exp term23 factorial step5 = 120

Exp term23 factorial step6 := mul(120, 6)

Exp term23 factorial step6 = 720

Exp term23 factorial step7 := mul(720, 7)

Exp term23 factorial step7 = 5040

Exp term23 factorial step8 := mul(5040, 8)

Exp term23 factorial step8 = 40320

Exp term23 factorial step9 := mul(40320, 9)

Exp term23 factorial step9 = 362880

Exp term23 factorial step10 := mul(362880, 10)

Exp term23 factorial step10 = 3628800

Exp term23 factorial step11 := mul(3628800, 11)

Exp term23 factorial step11 = 39916800

Exp term23 factorial step12 := mul(39916800, 12)

Exp term23 factorial step12 = 479001600

Exp term23 factorial step13 := mul(479001600, 13)

Exp term23 factorial step13 = 6227020800

Exp term23 factorial step14 := mul(6227020800, 14)

Exp term23 factorial step14 = 87178291200

Exp term23 factorial step15 := mul(87178291200, 15)

Exp term23 factorial step15 = 1307674368000

Exp term23 factorial step16 := mul(1307674368000, 16)

Exp term23 factorial step16 = 20922789888000

Exp term23 factorial step17 := mul(20922789888000, 17)

Exp term23 factorial step17 = 355687428096000

Exp term23 factorial step18 := mul(355687428096000, 18)

Exp term23 factorial step18 = 6402373705728000

Exp term23 factorial step19 := mul(6402373705728000, 19)

Exp term23 factorial step19 = 121645100408832000

Exp term23 factorial step20 := mul(121645100408832000, 20)

Exp term23 factorial step20 = 2432902008176640000

Exp term23 factorial step21 := mul(2432902008176640000, 21)

Exp term23 factorial step21 = 51090942171709440000

Exp term23 factorial step22 := mul(51090942171709440000, 22)

Exp term23 factorial step22 = 1124000727777607680000

Exp term23 factorial step23 := mul(1124000727777607680000, 23)

Exp term23 factorial step23 = 25852016738884976640000

(25/26)^23

Exp ORIGINAL x power23 = 142108547152020037174224853515625/350257144982200575261531309080576

Exp term23 power over factorial := div(142108547152020037174224853515625/350257144982200575261531309080576, 25852016738884976640000)

Exp term23 power over factorial = 227373675443232059478759765625/14487765719990258200058682967620990786953628220391424

Exp cumulative sum through23 := sum(21123691863985786141584436389240041198189139213671/8075677658857446042396144352074130873441264336896, 227373675443232059478759765625/14487765719990258200058682967620990786953628220391424)

Exp cumulative sum through23 = 37895903203990500338002706255972077141610794509091399/14487765719990258200058682967620990786953628220391424

Exp term24 factorial step1 := mul(1, 1)

Exp term24 factorial step1 = 1

Exp term24 factorial step2 := mul(1, 2)

Exp term24 factorial step2 = 2

Exp term24 factorial step3 := mul(2, 3)

Exp term24 factorial step3 = 6

Exp term24 factorial step4 := mul(6, 4)

Exp term24 factorial step4 = 24

Exp term24 factorial step5 := mul(24, 5)

Exp term24 factorial step5 = 120

Exp term24 factorial step6 := mul(120, 6)

Exp term24 factorial step6 = 720

Exp term24 factorial step7 := mul(720, 7)

Exp term24 factorial step7 = 5040

Exp term24 factorial step8 := mul(5040, 8)

Exp term24 factorial step8 = 40320

Exp term24 factorial step9 := mul(40320, 9)

Exp term24 factorial step9 = 362880

Exp term24 factorial step10 := mul(362880, 10)

Exp term24 factorial step10 = 3628800

Exp term24 factorial step11 := mul(3628800, 11)

Exp term24 factorial step11 = 39916800

Exp term24 factorial step12 := mul(39916800, 12)

Exp term24 factorial step12 = 479001600

Exp term24 factorial step13 := mul(479001600, 13)

Exp term24 factorial step13 = 6227020800

Exp term24 factorial step14 := mul(6227020800, 14)

Exp term24 factorial step14 = 87178291200

Exp term24 factorial step15 := mul(87178291200, 15)

Exp term24 factorial step15 = 1307674368000

Exp term24 factorial step16 := mul(1307674368000, 16)

Exp term24 factorial step16 = 20922789888000

Exp term24 factorial step17 := mul(20922789888000, 17)

Exp term24 factorial step17 = 355687428096000

Exp term24 factorial step18 := mul(355687428096000, 18)

Exp term24 factorial step18 = 6402373705728000

Exp term24 factorial step19 := mul(6402373705728000, 19)

Exp term24 factorial step19 = 121645100408832000

Exp term24 factorial step20 := mul(121645100408832000, 20)

Exp term24 factorial step20 = 2432902008176640000

Exp term24 factorial step21 := mul(2432902008176640000, 21)

Exp term24 factorial step21 = 51090942171709440000

Exp term24 factorial step22 := mul(51090942171709440000, 22)

Exp term24 factorial step22 = 1124000727777607680000

Exp term24 factorial step23 := mul(1124000727777607680000, 23)

Exp term24 factorial step23 = 25852016738884976640000

Exp term24 factorial step24 := mul(25852016738884976640000, 24)

Exp term24 factorial step24 = 620448401733239439360000

(25/26)^24

Exp ORIGINAL x power24 = 3552713678800500929355621337890625/9106685769537214956799814036094976

Exp term24 power over factorial := div(3552713678800500929355621337890625/9106685769537214956799814036094976, 620448401733239439360000)

Exp term24 power over factorial = 5684341886080801486968994140625/9040365809273921116836618171795498251059064009524248576

Exp cumulative sum through24 := sum(37895903203990500338002706255972077141610794509091399/14487765719990258200058682967620990786953628220391424, 5684341886080801486968994140625/9040365809273921116836618171795498251059064009524248576)

Exp cumulative sum through24 = 23647043599290072210913694388068462217166622742667173601/9040365809273921116836618171795498251059064009524248576

Exp term25 factorial step1 := mul(1, 1)

Exp term25 factorial step1 = 1

Exp term25 factorial step2 := mul(1, 2)

Exp term25 factorial step2 = 2

Exp term25 factorial step3 := mul(2, 3)

Exp term25 factorial step3 = 6

Exp term25 factorial step4 := mul(6, 4)

Exp term25 factorial step4 = 24

Exp term25 factorial step5 := mul(24, 5)

Exp term25 factorial step5 = 120

Exp term25 factorial step6 := mul(120, 6)

Exp term25 factorial step6 = 720

Exp term25 factorial step7 := mul(720, 7)

Exp term25 factorial step7 = 5040

Exp term25 factorial step8 := mul(5040, 8)

Exp term25 factorial step8 = 40320

Exp term25 factorial step9 := mul(40320, 9)

Exp term25 factorial step9 = 362880

Exp term25 factorial step10 := mul(362880, 10)

Exp term25 factorial step10 = 3628800

Exp term25 factorial step11 := mul(3628800, 11)

Exp term25 factorial step11 = 39916800

Exp term25 factorial step12 := mul(39916800, 12)

Exp term25 factorial step12 = 479001600

Exp term25 factorial step13 := mul(479001600, 13)

Exp term25 factorial step13 = 6227020800

Exp term25 factorial step14 := mul(6227020800, 14)

Exp term25 factorial step14 = 87178291200

Exp term25 factorial step15 := mul(87178291200, 15)

Exp term25 factorial step15 = 1307674368000

Exp term25 factorial step16 := mul(1307674368000, 16)

Exp term25 factorial step16 = 20922789888000

Exp term25 factorial step17 := mul(20922789888000, 17)

Exp term25 factorial step17 = 355687428096000

Exp term25 factorial step18 := mul(355687428096000, 18)

Exp term25 factorial step18 = 6402373705728000

Exp term25 factorial step19 := mul(6402373705728000, 19)

Exp term25 factorial step19 = 121645100408832000

Exp term25 factorial step20 := mul(121645100408832000, 20)

Exp term25 factorial step20 = 2432902008176640000

Exp term25 factorial step21 := mul(2432902008176640000, 21)

Exp term25 factorial step21 = 51090942171709440000

Exp term25 factorial step22 := mul(51090942171709440000, 22)

Exp term25 factorial step22 = 1124000727777607680000

Exp term25 factorial step23 := mul(1124000727777607680000, 23)

Exp term25 factorial step23 = 25852016738884976640000

Exp term25 factorial step24 := mul(25852016738884976640000, 24)

Exp term25 factorial step24 = 620448401733239439360000

Exp term25 factorial step25 := mul(620448401733239439360000, 25)

Exp term25 factorial step25 = 15511210043330985984000000

(25/26)^25

Exp ORIGINAL x power25 = 88817841970012523233890533447265625/236773830007967588876795164938469376

Exp term25 power over factorial := div(88817841970012523233890533447265625/236773830007967588876795164938469376, 15511210043330985984000000)

Exp term25 power over factorial = 5684341886080801486968994140625/235049511041121949037752072466682954527535664247630462976

Exp cumulative sum through25 := sum(23647043599290072210913694388068462217166622742667173601/9040365809273921116836618171795498251059064009524248576, 5684341886080801486968994140625/235049511041121949037752072466682954527535664247630462976)

Exp cumulative sum through25 = 10786370764588453990943088767967050942581292601374397443/4123675632300385070837755657310227272412906390309306368

Exp term26 factorial step1 := mul(1, 1)

Exp term26 factorial step1 = 1

Exp term26 factorial step2 := mul(1, 2)

Exp term26 factorial step2 = 2

Exp term26 factorial step3 := mul(2, 3)

Exp term26 factorial step3 = 6

Exp term26 factorial step4 := mul(6, 4)

Exp term26 factorial step4 = 24

Exp term26 factorial step5 := mul(24, 5)

Exp term26 factorial step5 = 120

Exp term26 factorial step6 := mul(120, 6)

Exp term26 factorial step6 = 720

Exp term26 factorial step7 := mul(720, 7)

Exp term26 factorial step7 = 5040

Exp term26 factorial step8 := mul(5040, 8)

Exp term26 factorial step8 = 40320

Exp term26 factorial step9 := mul(40320, 9)

Exp term26 factorial step9 = 362880

Exp term26 factorial step10 := mul(362880, 10)

Exp term26 factorial step10 = 3628800

Exp term26 factorial step11 := mul(3628800, 11)

Exp term26 factorial step11 = 39916800

Exp term26 factorial step12 := mul(39916800, 12)

Exp term26 factorial step12 = 479001600

Exp term26 factorial step13 := mul(479001600, 13)

Exp term26 factorial step13 = 6227020800

Exp term26 factorial step14 := mul(6227020800, 14)

Exp term26 factorial step14 = 87178291200

Exp term26 factorial step15 := mul(87178291200, 15)

Exp term26 factorial step15 = 1307674368000

Exp term26 factorial step16 := mul(1307674368000, 16)

Exp term26 factorial step16 = 20922789888000

Exp term26 factorial step17 := mul(20922789888000, 17)

Exp term26 factorial step17 = 355687428096000

Exp term26 factorial step18 := mul(355687428096000, 18)

Exp term26 factorial step18 = 6402373705728000

Exp term26 factorial step19 := mul(6402373705728000, 19)

Exp term26 factorial step19 = 121645100408832000

Exp term26 factorial step20 := mul(121645100408832000, 20)

Exp term26 factorial step20 = 2432902008176640000

Exp term26 factorial step21 := mul(2432902008176640000, 21)

Exp term26 factorial step21 = 51090942171709440000

Exp term26 factorial step22 := mul(51090942171709440000, 22)

Exp term26 factorial step22 = 1124000727777607680000

Exp term26 factorial step23 := mul(1124000727777607680000, 23)

Exp term26 factorial step23 = 25852016738884976640000

Exp term26 factorial step24 := mul(25852016738884976640000, 24)

Exp term26 factorial step24 = 620448401733239439360000

Exp term26 factorial step25 := mul(620448401733239439360000, 25)

Exp term26 factorial step25 = 15511210043330985984000000

Exp term26 factorial step26 := mul(15511210043330985984000000, 26)

Exp term26 factorial step26 = 403291461126605635584000000

(25/26)^26

Exp ORIGINAL x power26 = 2220446049250313080847263336181640625/6156119580207157310796674288400203776

Exp term26 power over factorial := div(2220446049250313080847263336181640625/6156119580207157310796674288400203776, 403291461126605635584000000)

Exp term26 power over factorial = 142108547152020037174224853515625/158893469463798437549520400987477677260614109031398192971776

Exp cumulative sum through26 := sum(10786370764588453990943088767967050942581292601374397443/4123675632300385070837755657310227272412906390309306368, 142108547152020037174224853515625/158893469463798437549520400987477677260614109031398192971776)

Exp cumulative sum through26 = 415620438301122309179019096549414954071562403690383135789301/158893469463798437549520400987477677260614109031398192971776

Exp term27 factorial step1 := mul(1, 1)

Exp term27 factorial step1 = 1

Exp term27 factorial step2 := mul(1, 2)

Exp term27 factorial step2 = 2

Exp term27 factorial step3 := mul(2, 3)

Exp term27 factorial step3 = 6

Exp term27 factorial step4 := mul(6, 4)

Exp term27 factorial step4 = 24

Exp term27 factorial step5 := mul(24, 5)

Exp term27 factorial step5 = 120

Exp term27 factorial step6 := mul(120, 6)

Exp term27 factorial step6 = 720

Exp term27 factorial step7 := mul(720, 7)

Exp term27 factorial step7 = 5040

Exp term27 factorial step8 := mul(5040, 8)

Exp term27 factorial step8 = 40320

Exp term27 factorial step9 := mul(40320, 9)

Exp term27 factorial step9 = 362880

Exp term27 factorial step10 := mul(362880, 10)

Exp term27 factorial step10 = 3628800

Exp term27 factorial step11 := mul(3628800, 11)

Exp term27 factorial step11 = 39916800

Exp term27 factorial step12 := mul(39916800, 12)

Exp term27 factorial step12 = 479001600

Exp term27 factorial step13 := mul(479001600, 13)

Exp term27 factorial step13 = 6227020800

Exp term27 factorial step14 := mul(6227020800, 14)

Exp term27 factorial step14 = 87178291200

Exp term27 factorial step15 := mul(87178291200, 15)

Exp term27 factorial step15 = 1307674368000

Exp term27 factorial step16 := mul(1307674368000, 16)

Exp term27 factorial step16 = 20922789888000

Exp term27 factorial step17 := mul(20922789888000, 17)

Exp term27 factorial step17 = 355687428096000

Exp term27 factorial step18 := mul(355687428096000, 18)

Exp term27 factorial step18 = 6402373705728000

Exp term27 factorial step19 := mul(6402373705728000, 19)

Exp term27 factorial step19 = 121645100408832000

Exp term27 factorial step20 := mul(121645100408832000, 20)

Exp term27 factorial step20 = 2432902008176640000

Exp term27 factorial step21 := mul(2432902008176640000, 21)

Exp term27 factorial step21 = 51090942171709440000

Exp term27 factorial step22 := mul(51090942171709440000, 22)

Exp term27 factorial step22 = 1124000727777607680000

Exp term27 factorial step23 := mul(1124000727777607680000, 23)

Exp term27 factorial step23 = 25852016738884976640000

Exp term27 factorial step24 := mul(25852016738884976640000, 24)

Exp term27 factorial step24 = 620448401733239439360000

Exp term27 factorial step25 := mul(620448401733239439360000, 25)

Exp term27 factorial step25 = 15511210043330985984000000

Exp term27 factorial step26 := mul(15511210043330985984000000, 26)

Exp term27 factorial step26 = 403291461126605635584000000

Exp term27 factorial step27 := mul(403291461126605635584000000, 27)

Exp term27 factorial step27 = 10888869450418352160768000000

(25/26)^27

Exp ORIGINAL x power27 = 55511151231257827021181583404541015625/160059109085386090080713531498405298176

Exp term27 power over factorial := div(55511151231257827021181583404541015625/160059109085386090080713531498405298176, 10888869450418352160768000000)

Exp term27 power over factorial = 3552713678800500929355621337890625/111543215563586503159763321493209329436951104540041531466186752

Exp cumulative sum through27 := sum(415620438301122309179019096549414954071562403690383135789301/158893469463798437549520400987477677260614109031398192971776, 3552713678800500929355621337890625/111543215563586503159763321493209329436951104540041531466186752)

Exp cumulative sum through27 = 5954398932395670633544314403698816559939536904489889442081223/2276392154358908227750271867208353661978593970204929213595648

Exp term28 factorial step1 := mul(1, 1)

Exp term28 factorial step1 = 1

Exp term28 factorial step2 := mul(1, 2)

Exp term28 factorial step2 = 2

Exp term28 factorial step3 := mul(2, 3)

Exp term28 factorial step3 = 6

Exp term28 factorial step4 := mul(6, 4)

Exp term28 factorial step4 = 24

Exp term28 factorial step5 := mul(24, 5)

Exp term28 factorial step5 = 120

Exp term28 factorial step6 := mul(120, 6)

Exp term28 factorial step6 = 720

Exp term28 factorial step7 := mul(720, 7)

Exp term28 factorial step7 = 5040

Exp term28 factorial step8 := mul(5040, 8)

Exp term28 factorial step8 = 40320

Exp term28 factorial step9 := mul(40320, 9)

Exp term28 factorial step9 = 362880

Exp term28 factorial step10 := mul(362880, 10)

Exp term28 factorial step10 = 3628800

Exp term28 factorial step11 := mul(3628800, 11)

Exp term28 factorial step11 = 39916800

Exp term28 factorial step12 := mul(39916800, 12)

Exp term28 factorial step12 = 479001600

Exp term28 factorial step13 := mul(479001600, 13)

Exp term28 factorial step13 = 6227020800

Exp term28 factorial step14 := mul(6227020800, 14)

Exp term28 factorial step14 = 87178291200

Exp term28 factorial step15 := mul(87178291200, 15)

Exp term28 factorial step15 = 1307674368000

Exp term28 factorial step16 := mul(1307674368000, 16)

Exp term28 factorial step16 = 20922789888000

Exp term28 factorial step17 := mul(20922789888000, 17)

Exp term28 factorial step17 = 355687428096000

Exp term28 factorial step18 := mul(355687428096000, 18)

Exp term28 factorial step18 = 6402373705728000

Exp term28 factorial step19 := mul(6402373705728000, 19)

Exp term28 factorial step19 = 121645100408832000

Exp term28 factorial step20 := mul(121645100408832000, 20)

Exp term28 factorial step20 = 2432902008176640000

Exp term28 factorial step21 := mul(2432902008176640000, 21)

Exp term28 factorial step21 = 51090942171709440000

Exp term28 factorial step22 := mul(51090942171709440000, 22)

Exp term28 factorial step22 = 1124000727777607680000

Exp term28 factorial step23 := mul(1124000727777607680000, 23)

Exp term28 factorial step23 = 25852016738884976640000

Exp term28 factorial step24 := mul(25852016738884976640000, 24)

Exp term28 factorial step24 = 620448401733239439360000

Exp term28 factorial step25 := mul(620448401733239439360000, 25)

Exp term28 factorial step25 = 15511210043330985984000000

Exp term28 factorial step26 := mul(15511210043330985984000000, 26)

Exp term28 factorial step26 = 403291461126605635584000000

Exp term28 factorial step27 := mul(403291461126605635584000000, 27)

Exp term28 factorial step27 = 10888869450418352160768000000

Exp term28 factorial step28 := mul(10888869450418352160768000000, 28)

Exp term28 factorial step28 = 304888344611713860501504000000

(25/26)^28

Exp ORIGINAL x power28 = 1387778780781445675529539585113525390625/4161536836220038342098551818958537752576

Exp term28 power over factorial := div(1387778780781445675529539585113525390625/4161536836220038342098551818958537752576, 304888344611713860501504000000)

Exp term28 power over factorial = 88817841970012523233890533447265625/81203460930290974300307698047056391830100404105150234907383955456

Exp cumulative sum through28 := sum(5954398932395670633544314403698816559939536904489889442081223/2276392154358908227750271867208353661978593970204929213595648, 88817841970012523233890533447265625/81203460930290974300307698047056391830100404105150234907383955456)

Exp cumulative sum through28 = 70801772905472787613264261136277667389377724326732408903789550827/27067820310096991433435899349018797276700134701716744969127985152

Exp term29 factorial step1 := mul(1, 1)

Exp term29 factorial step1 = 1

Exp term29 factorial step2 := mul(1, 2)

Exp term29 factorial step2 = 2

Exp term29 factorial step3 := mul(2, 3)

Exp term29 factorial step3 = 6

Exp term29 factorial step4 := mul(6, 4)

Exp term29 factorial step4 = 24

Exp term29 factorial step5 := mul(24, 5)

Exp term29 factorial step5 = 120

Exp term29 factorial step6 := mul(120, 6)

Exp term29 factorial step6 = 720

Exp term29 factorial step7 := mul(720, 7)

Exp term29 factorial step7 = 5040

Exp term29 factorial step8 := mul(5040, 8)

Exp term29 factorial step8 = 40320

Exp term29 factorial step9 := mul(40320, 9)

Exp term29 factorial step9 = 362880

Exp term29 factorial step10 := mul(362880, 10)

Exp term29 factorial step10 = 3628800

Exp term29 factorial step11 := mul(3628800, 11)

Exp term29 factorial step11 = 39916800

Exp term29 factorial step12 := mul(39916800, 12)

Exp term29 factorial step12 = 479001600

Exp term29 factorial step13 := mul(479001600, 13)

Exp term29 factorial step13 = 6227020800

Exp term29 factorial step14 := mul(6227020800, 14)

Exp term29 factorial step14 = 87178291200

Exp term29 factorial step15 := mul(87178291200, 15)

Exp term29 factorial step15 = 1307674368000

Exp term29 factorial step16 := mul(1307674368000, 16)

Exp term29 factorial step16 = 20922789888000

Exp term29 factorial step17 := mul(20922789888000, 17)

Exp term29 factorial step17 = 355687428096000

Exp term29 factorial step18 := mul(355687428096000, 18)

Exp term29 factorial step18 = 6402373705728000

Exp term29 factorial step19 := mul(6402373705728000, 19)

Exp term29 factorial step19 = 121645100408832000

Exp term29 factorial step20 := mul(121645100408832000, 20)

Exp term29 factorial step20 = 2432902008176640000

Exp term29 factorial step21 := mul(2432902008176640000, 21)

Exp term29 factorial step21 = 51090942171709440000

Exp term29 factorial step22 := mul(51090942171709440000, 22)

Exp term29 factorial step22 = 1124000727777607680000

Exp term29 factorial step23 := mul(1124000727777607680000, 23)

Exp term29 factorial step23 = 25852016738884976640000

Exp term29 factorial step24 := mul(25852016738884976640000, 24)

Exp term29 factorial step24 = 620448401733239439360000

Exp term29 factorial step25 := mul(620448401733239439360000, 25)

Exp term29 factorial step25 = 15511210043330985984000000

Exp term29 factorial step26 := mul(15511210043330985984000000, 26)

Exp term29 factorial step26 = 403291461126605635584000000

Exp term29 factorial step27 := mul(403291461126605635584000000, 27)

Exp term29 factorial step27 = 10888869450418352160768000000

Exp term29 factorial step28 := mul(10888869450418352160768000000, 28)

Exp term29 factorial step28 = 304888344611713860501504000000

Exp term29 factorial step29 := mul(304888344611713860501504000000, 29)

Exp term29 factorial step29 = 8841761993739701954543616000000

(25/26)^29

Exp ORIGINAL x power29 = 34694469519536141888238489627838134765625/108199957741720996894562347292921981566976

Exp term29 power over factorial := div(34694469519536141888238489627838134765625/108199957741720996894562347292921981566976, 8841761993739701954543616000000)

Exp term29 power over factorial = 2220446049250313080847263336181640625/61227409541439394622432004327480519439895704695283277120167502413824

Exp cumulative sum through29 := sum(70801772905472787613264261136277667389377724326732408903789550827/27067820310096991433435899349018797276700134701716744969127985152, 2220446049250313080847263336181640625/61227409541439394622432004327480519439895704695283277120167502413824)

Exp cumulative sum through29 = 160153610312179445581203758690262304080821662740149556203708145611299/61227409541439394622432004327480519439895704695283277120167502413824

source roles = [25/26, 29, [1, 25/26, 625/1352, 15625/105456, 390625/10967424, 1953125/285153024, 48828125/44483871744, 1220703125/8096064657408, 30517578125/1683981448740864, 762939453125/394051659005362176, 3814697265625/20490686268278833152, 95367431640625/5860336272727746281472, 2384185791015625/1828424917091056839819264, 59604644775390625/618007621976777211858911232, 1490116119384765625/224954774399546905116643688448, 7450580596923828125/17546472403164658599098207698944, 186264514923095703125/7299332519716497977224854402760704, 4656612873077392578125/3226304973714692105933385646020231168, 116415321826934814453125/1509910727698475905576824482337468186624, 2910383045673370361328125/745895899483047097354951294274709284192256, 14551915228366851806640625/77573173546236898124914934604569765555994624, 363797880709171295166015625/42354952756245346376203554294095091993573064704, 9094947017729282379150390625/24227032976572338127188433056222392620323793010688, 227373675443232059478759765625/14487765719990258200058682967620990786953628220391424, 5684341886080801486968994140625/9040365809273921116836618171795498251059064009524248576, 5684341886080801486968994140625/235049511041121949037752072466682954527535664247630462976, 142108547152020037174224853515625/158893469463798437549520400987477677260614109031398192971776, 3552713678800500929355621337890625/111543215563586503159763321493209329436951104540041531466186752, 88817841970012523233890533447265625/81203460930290974300307698047056391830100404105150234907383955456, 2220446049250313080847263336181640625/61227409541439394622432004327480519439895704695283277120167502413824], [1, 51/26, 3277/1352, 271231/105456, 9532883/3655808, 745517999/285153024, 116349635969/44483871744, 7058951483161/2698688219136, 4404816243070589/1683981448740864, 1030727763817970951/394051659005362176, 17865949177743918359/6830228756092944384, 15328984489871713592647/5860336272727746281472, 4782643163224160431921489/1828424917091056839819264, 76977780439493850988802567/29428934379846533898043392, 588418153680981113077791587773/224954774399546905116643688448, 45896615987123977400664667674419/17546472403164658599098207698944, 6364330750214586954397141616087143/2433110839905499325741618134253568, 8439102574784546958143482860324129743/3226304973714692105933385646020231168, 232323529705833417225086576798029833697/88818278099910347386872028372792246272, 650351000823196346922220039207741634905177/248631966494349032451650431424903094730752, 28987073179548180036326366780168891699579407/11081881935176699732130704943509966507999232, 110788593692233144099203171714514675370958509179/42354952756245346376203554294095091993573064704, 21123691863985786141584436389240041198189139213671/8075677658857446042396144352074130873441264336896, 37895903203990500338002706255972077141610794509091399/14487765719990258200058682967620990786953628220391424, 23647043599290072210913694388068462217166622742667173601/9040365809273921116836618171795498251059064009524248576, 10786370764588453990943088767967050942581292601374397443/4123675632300385070837755657310227272412906390309306368, 415620438301122309179019096549414954071562403690383135789301/158893469463798437549520400987477677260614109031398192971776, 5954398932395670633544314403698816559939536904489889442081223/2276392154358908227750271867208353661978593970204929213595648, 70801772905472787613264261136277667389377724326732408903789550827/27067820310096991433435899349018797276700134701716744969127985152, 160153610312179445581203758690262304080821662740149556203708145611299/61227409541439394622432004327480519439895704695283277120167502413824]]

derived = [160153610312179445581203758690262304080821662740149556203708145611299/61227409541439394622432004327480519439895704695283277120167502413824, 否, finite sum is not a general infinite-value certificate]

逐步反向核對

• S528 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S527 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through29，不以小數近似替代。
• S526 · premise_and_result_audit — 以精確有理數重算 Exp term29 power over factorial，不以小數近似替代。
• S525 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S524 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step29，不以小數近似替代。
• S523 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step28，不以小數近似替代。
• S522 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step27，不以小數近似替代。
• S521 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step26，不以小數近似替代。
• S520 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step25，不以小數近似替代。
• S519 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step24，不以小數近似替代。
• S518 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step23，不以小數近似替代。
• S517 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step22，不以小數近似替代。
• S516 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step21，不以小數近似替代。
• S515 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step20，不以小數近似替代。
• S514 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step19，不以小數近似替代。
• S513 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step18，不以小數近似替代。
• S512 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step17，不以小數近似替代。
• S511 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step16，不以小數近似替代。
• S510 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step15，不以小數近似替代。
• S509 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step14，不以小數近似替代。
• S508 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step13，不以小數近似替代。
• S507 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step12，不以小數近似替代。
• S506 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step11，不以小數近似替代。
• S505 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step10，不以小數近似替代。
• S504 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step9，不以小數近似替代。
• S503 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step8，不以小數近似替代。
• S502 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step7，不以小數近似替代。
• S501 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step6，不以小數近似替代。
• S500 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step5，不以小數近似替代。
• S499 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step4，不以小數近似替代。
• S498 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step3，不以小數近似替代。
• S497 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step2，不以小數近似替代。
• S496 · premise_and_result_audit — 以精確有理數重算 Exp term29 factorial step1，不以小數近似替代。
• S495 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through28，不以小數近似替代。
• S494 · premise_and_result_audit — 以精確有理數重算 Exp term28 power over factorial，不以小數近似替代。
• S493 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S492 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step28，不以小數近似替代。
• S491 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step27，不以小數近似替代。
• S490 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step26，不以小數近似替代。
• S489 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step25，不以小數近似替代。
• S488 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step24，不以小數近似替代。
• S487 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step23，不以小數近似替代。
• S486 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step22，不以小數近似替代。
• S485 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step21，不以小數近似替代。
• S484 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step20，不以小數近似替代。
• S483 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step19，不以小數近似替代。
• S482 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step18，不以小數近似替代。
• S481 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step17，不以小數近似替代。
• S480 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step16，不以小數近似替代。
• S479 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step15，不以小數近似替代。
• S478 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step14，不以小數近似替代。
• S477 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step13，不以小數近似替代。
• S476 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step12，不以小數近似替代。
• S475 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step11，不以小數近似替代。
• S474 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step10，不以小數近似替代。
• S473 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step9，不以小數近似替代。
• S472 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step8，不以小數近似替代。
• S471 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step7，不以小數近似替代。
• S470 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step6，不以小數近似替代。
• S469 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step5，不以小數近似替代。
• S468 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step4，不以小數近似替代。
• S467 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step3，不以小數近似替代。
• S466 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step2，不以小數近似替代。
• S465 · premise_and_result_audit — 以精確有理數重算 Exp term28 factorial step1，不以小數近似替代。
• S464 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through27，不以小數近似替代。
• S463 · premise_and_result_audit — 以精確有理數重算 Exp term27 power over factorial，不以小數近似替代。
• S462 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S461 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step27，不以小數近似替代。
• S460 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step26，不以小數近似替代。
• S459 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step25，不以小數近似替代。
• S458 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step24，不以小數近似替代。
• S457 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step23，不以小數近似替代。
• S456 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step22，不以小數近似替代。
• S455 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step21，不以小數近似替代。
• S454 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step20，不以小數近似替代。
• S453 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step19，不以小數近似替代。
• S452 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step18，不以小數近似替代。
• S451 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step17，不以小數近似替代。
• S450 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step16，不以小數近似替代。
• S449 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step15，不以小數近似替代。
• S448 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step14，不以小數近似替代。
• S447 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step13，不以小數近似替代。
• S446 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step12，不以小數近似替代。
• S445 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step11，不以小數近似替代。
• S444 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step10，不以小數近似替代。
• S443 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step9，不以小數近似替代。
• S442 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step8，不以小數近似替代。
• S441 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step7，不以小數近似替代。
• S440 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step6，不以小數近似替代。
• S439 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step5，不以小數近似替代。
• S438 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step4，不以小數近似替代。
• S437 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step3，不以小數近似替代。
• S436 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step2，不以小數近似替代。
• S435 · premise_and_result_audit — 以精確有理數重算 Exp term27 factorial step1，不以小數近似替代。
• S434 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through26，不以小數近似替代。
• S433 · premise_and_result_audit — 以精確有理數重算 Exp term26 power over factorial，不以小數近似替代。
• S432 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S431 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step26，不以小數近似替代。
• S430 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step25，不以小數近似替代。
• S429 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step24，不以小數近似替代。
• S428 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step23，不以小數近似替代。
• S427 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step22，不以小數近似替代。
• S426 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step21，不以小數近似替代。
• S425 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step20，不以小數近似替代。
• S424 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step19，不以小數近似替代。
• S423 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step18，不以小數近似替代。
• S422 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step17，不以小數近似替代。
• S421 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step16，不以小數近似替代。
• S420 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step15，不以小數近似替代。
• S419 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step14，不以小數近似替代。
• S418 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step13，不以小數近似替代。
• S417 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step12，不以小數近似替代。
• S416 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step11，不以小數近似替代。
• S415 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step10，不以小數近似替代。
• S414 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step9，不以小數近似替代。
• S413 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step8，不以小數近似替代。
• S412 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step7，不以小數近似替代。
• S411 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step6，不以小數近似替代。
• S410 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step5，不以小數近似替代。
• S409 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step4，不以小數近似替代。
• S408 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step3，不以小數近似替代。
• S407 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step2，不以小數近似替代。
• S406 · premise_and_result_audit — 以精確有理數重算 Exp term26 factorial step1，不以小數近似替代。
• S405 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through25，不以小數近似替代。
• S404 · premise_and_result_audit — 以精確有理數重算 Exp term25 power over factorial，不以小數近似替代。
• S403 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S402 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step25，不以小數近似替代。
• S401 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step24，不以小數近似替代。
• S400 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step23，不以小數近似替代。
• S399 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step22，不以小數近似替代。
• S398 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step21，不以小數近似替代。
• S397 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step20，不以小數近似替代。
• S396 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step19，不以小數近似替代。
• S395 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step18，不以小數近似替代。
• S394 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step17，不以小數近似替代。
• S393 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step16，不以小數近似替代。
• S392 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step15，不以小數近似替代。
• S391 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step14，不以小數近似替代。
• S390 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step13，不以小數近似替代。
• S389 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step12，不以小數近似替代。
• S388 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step11，不以小數近似替代。
• S387 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step10，不以小數近似替代。
• S386 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step9，不以小數近似替代。
• S385 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step8，不以小數近似替代。
• S384 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step7，不以小數近似替代。
• S383 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step6，不以小數近似替代。
• S382 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step5，不以小數近似替代。
• S381 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step4，不以小數近似替代。
• S380 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step3，不以小數近似替代。
• S379 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step2，不以小數近似替代。
• S378 · premise_and_result_audit — 以精確有理數重算 Exp term25 factorial step1，不以小數近似替代。
• S377 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through24，不以小數近似替代。
• S376 · premise_and_result_audit — 以精確有理數重算 Exp term24 power over factorial，不以小數近似替代。
• S375 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S374 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step24，不以小數近似替代。
• S373 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step23，不以小數近似替代。
• S372 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step22，不以小數近似替代。
• S371 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step21，不以小數近似替代。
• S370 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step20，不以小數近似替代。
• S369 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step19，不以小數近似替代。
• S368 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step18，不以小數近似替代。
• S367 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step17，不以小數近似替代。
• S366 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step16，不以小數近似替代。
• S365 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step15，不以小數近似替代。
• S364 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step14，不以小數近似替代。
• S363 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step13，不以小數近似替代。
• S362 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step12，不以小數近似替代。
• S361 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step11，不以小數近似替代。
• S360 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step10，不以小數近似替代。
• S359 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step9，不以小數近似替代。
• S358 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step8，不以小數近似替代。
• S357 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step7，不以小數近似替代。
• S356 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step6，不以小數近似替代。
• S355 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step5，不以小數近似替代。
• S354 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step4，不以小數近似替代。
• S353 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step3，不以小數近似替代。
• S352 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step2，不以小數近似替代。
• S351 · premise_and_result_audit — 以精確有理數重算 Exp term24 factorial step1，不以小數近似替代。
• S350 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through23，不以小數近似替代。
• S349 · premise_and_result_audit — 以精確有理數重算 Exp term23 power over factorial，不以小數近似替代。
• S348 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S347 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step23，不以小數近似替代。
• S346 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step22，不以小數近似替代。
• S345 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step21，不以小數近似替代。
• S344 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step20，不以小數近似替代。
• S343 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step19，不以小數近似替代。
• S342 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step18，不以小數近似替代。
• S341 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step17，不以小數近似替代。
• S340 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step16，不以小數近似替代。
• S339 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step15，不以小數近似替代。
• S338 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step14，不以小數近似替代。
• S337 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step13，不以小數近似替代。
• S336 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step12，不以小數近似替代。
• S335 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step11，不以小數近似替代。
• S334 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step10，不以小數近似替代。
• S333 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step9，不以小數近似替代。
• S332 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step8，不以小數近似替代。
• S331 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step7，不以小數近似替代。
• S330 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step6，不以小數近似替代。
• S329 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step5，不以小數近似替代。
• S328 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step4，不以小數近似替代。
• S327 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step3，不以小數近似替代。
• S326 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step2，不以小數近似替代。
• S325 · premise_and_result_audit — 以精確有理數重算 Exp term23 factorial step1，不以小數近似替代。
• S324 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through22，不以小數近似替代。
• S323 · premise_and_result_audit — 以精確有理數重算 Exp term22 power over factorial，不以小數近似替代。
• S322 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S321 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step22，不以小數近似替代。
• S320 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step21，不以小數近似替代。
• S319 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step20，不以小數近似替代。
• S318 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step19，不以小數近似替代。
• S317 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step18，不以小數近似替代。
• S316 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step17，不以小數近似替代。
• S315 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step16，不以小數近似替代。
• S314 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step15，不以小數近似替代。
• S313 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step14，不以小數近似替代。
• S312 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step13，不以小數近似替代。
• S311 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step12，不以小數近似替代。
• S310 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step11，不以小數近似替代。
• S309 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step10，不以小數近似替代。
• S308 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step9，不以小數近似替代。
• S307 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step8，不以小數近似替代。
• S306 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step7，不以小數近似替代。
• S305 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step6，不以小數近似替代。
• S304 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step5，不以小數近似替代。
• S303 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step4，不以小數近似替代。
• S302 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step3，不以小數近似替代。
• S301 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step2，不以小數近似替代。
• S300 · premise_and_result_audit — 以精確有理數重算 Exp term22 factorial step1，不以小數近似替代。
• S299 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through21，不以小數近似替代。
• S298 · premise_and_result_audit — 以精確有理數重算 Exp term21 power over factorial，不以小數近似替代。
• S297 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S296 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step21，不以小數近似替代。
• S295 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step20，不以小數近似替代。
• S294 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step19，不以小數近似替代。
• S293 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step18，不以小數近似替代。
• S292 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step17，不以小數近似替代。
• S291 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step16，不以小數近似替代。
• S290 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step15，不以小數近似替代。
• S289 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step14，不以小數近似替代。
• S288 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step13，不以小數近似替代。
• S287 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step12，不以小數近似替代。
• S286 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step11，不以小數近似替代。
• S285 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step10，不以小數近似替代。
• S284 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step9，不以小數近似替代。
• S283 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step8，不以小數近似替代。
• S282 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step7，不以小數近似替代。
• S281 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step6，不以小數近似替代。
• S280 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step5，不以小數近似替代。
• S279 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step4，不以小數近似替代。
• S278 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step3，不以小數近似替代。
• S277 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step2，不以小數近似替代。
• S276 · premise_and_result_audit — 以精確有理數重算 Exp term21 factorial step1，不以小數近似替代。
• S275 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through20，不以小數近似替代。
• S274 · premise_and_result_audit — 以精確有理數重算 Exp term20 power over factorial，不以小數近似替代。
• S273 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S272 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step20，不以小數近似替代。
• S271 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step19，不以小數近似替代。
• S270 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step18，不以小數近似替代。
• S269 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step17，不以小數近似替代。
• S268 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step16，不以小數近似替代。
• S267 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step15，不以小數近似替代。
• S266 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step14，不以小數近似替代。
• S265 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step13，不以小數近似替代。
• S264 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step12，不以小數近似替代。
• S263 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step11，不以小數近似替代。
• S262 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step10，不以小數近似替代。
• S261 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step9，不以小數近似替代。
• S260 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step8，不以小數近似替代。
• S259 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step7，不以小數近似替代。
• S258 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step6，不以小數近似替代。
• S257 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step5，不以小數近似替代。
• S256 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step4，不以小數近似替代。
• S255 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step3，不以小數近似替代。
• S254 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step2，不以小數近似替代。
• S253 · premise_and_result_audit — 以精確有理數重算 Exp term20 factorial step1，不以小數近似替代。
• S252 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through19，不以小數近似替代。
• S251 · premise_and_result_audit — 以精確有理數重算 Exp term19 power over factorial，不以小數近似替代。
• S250 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S249 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step19，不以小數近似替代。
• S248 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step18，不以小數近似替代。
• S247 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step17，不以小數近似替代。
• S246 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step16，不以小數近似替代。
• S245 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step15，不以小數近似替代。
• S244 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step14，不以小數近似替代。
• S243 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step13，不以小數近似替代。
• S242 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step12，不以小數近似替代。
• S241 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step11，不以小數近似替代。
• S240 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step10，不以小數近似替代。
• S239 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step9，不以小數近似替代。
• S238 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step8，不以小數近似替代。
• S237 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step7，不以小數近似替代。
• S236 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step6，不以小數近似替代。
• S235 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step5，不以小數近似替代。
• S234 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step4，不以小數近似替代。
• S233 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step3，不以小數近似替代。
• S232 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step2，不以小數近似替代。
• S231 · premise_and_result_audit — 以精確有理數重算 Exp term19 factorial step1，不以小數近似替代。
• S230 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through18，不以小數近似替代。
• S229 · premise_and_result_audit — 以精確有理數重算 Exp term18 power over factorial，不以小數近似替代。
• S228 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S227 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step18，不以小數近似替代。
• S226 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step17，不以小數近似替代。
• S225 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step16，不以小數近似替代。
• S224 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step15，不以小數近似替代。
• S223 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step14，不以小數近似替代。
• S222 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step13，不以小數近似替代。
• S221 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step12，不以小數近似替代。
• S220 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step11，不以小數近似替代。
• S219 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step10，不以小數近似替代。
• S218 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step9，不以小數近似替代。
• S217 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step8，不以小數近似替代。
• S216 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step7，不以小數近似替代。
• S215 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step6，不以小數近似替代。
• S214 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step5，不以小數近似替代。
• S213 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step4，不以小數近似替代。
• S212 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step3，不以小數近似替代。
• S211 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step2，不以小數近似替代。
• S210 · premise_and_result_audit — 以精確有理數重算 Exp term18 factorial step1，不以小數近似替代。
• S209 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through17，不以小數近似替代。
• S208 · premise_and_result_audit — 以精確有理數重算 Exp term17 power over factorial，不以小數近似替代。
• S207 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S206 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step17，不以小數近似替代。
• S205 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step16，不以小數近似替代。
• S204 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step15，不以小數近似替代。
• S203 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step14，不以小數近似替代。
• S202 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step13，不以小數近似替代。
• S201 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step12，不以小數近似替代。
• S200 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step11，不以小數近似替代。
• S199 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step10，不以小數近似替代。
• S198 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step9，不以小數近似替代。
• S197 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step8，不以小數近似替代。
• S196 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step7，不以小數近似替代。
• S195 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step6，不以小數近似替代。
• S194 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step5，不以小數近似替代。
• S193 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step4，不以小數近似替代。
• S192 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step3，不以小數近似替代。
• S191 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step2，不以小數近似替代。
• S190 · premise_and_result_audit — 以精確有理數重算 Exp term17 factorial step1，不以小數近似替代。
• S189 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through16，不以小數近似替代。
• S188 · premise_and_result_audit — 以精確有理數重算 Exp term16 power over factorial，不以小數近似替代。
• S187 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S186 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step16，不以小數近似替代。
• S185 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step15，不以小數近似替代。
• S184 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step14，不以小數近似替代。
• S183 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step13，不以小數近似替代。
• S182 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step12，不以小數近似替代。
• S181 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step11，不以小數近似替代。
• S180 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step10，不以小數近似替代。
• S179 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step9，不以小數近似替代。
• S178 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step8，不以小數近似替代。
• S177 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step7，不以小數近似替代。
• S176 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step6，不以小數近似替代。
• S175 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step5，不以小數近似替代。
• S174 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step4，不以小數近似替代。
• S173 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step3，不以小數近似替代。
• S172 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step2，不以小數近似替代。
• S171 · premise_and_result_audit — 以精確有理數重算 Exp term16 factorial step1，不以小數近似替代。
• S170 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through15，不以小數近似替代。
• S169 · premise_and_result_audit — 以精確有理數重算 Exp term15 power over factorial，不以小數近似替代。
• S168 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S167 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step15，不以小數近似替代。
• S166 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step14，不以小數近似替代。
• S165 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step13，不以小數近似替代。
• S164 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step12，不以小數近似替代。
• S163 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step11，不以小數近似替代。
• S162 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step10，不以小數近似替代。
• S161 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step9，不以小數近似替代。
• S160 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step8，不以小數近似替代。
• S159 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step7，不以小數近似替代。
• S158 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step6，不以小數近似替代。
• S157 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step5，不以小數近似替代。
• S156 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step4，不以小數近似替代。
• S155 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step3，不以小數近似替代。
• S154 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step2，不以小數近似替代。
• S153 · premise_and_result_audit — 以精確有理數重算 Exp term15 factorial step1，不以小數近似替代。
• S152 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through14，不以小數近似替代。
• S151 · premise_and_result_audit — 以精確有理數重算 Exp term14 power over factorial，不以小數近似替代。
• S150 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S149 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step14，不以小數近似替代。
• S148 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step13，不以小數近似替代。
• S147 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step12，不以小數近似替代。
• S146 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step11，不以小數近似替代。
• S145 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step10，不以小數近似替代。
• S144 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step9，不以小數近似替代。
• S143 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step8，不以小數近似替代。
• S142 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step7，不以小數近似替代。
• S141 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step6，不以小數近似替代。
• S140 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step5，不以小數近似替代。
• S139 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step4，不以小數近似替代。
• S138 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step3，不以小數近似替代。
• S137 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step2，不以小數近似替代。
• S136 · premise_and_result_audit — 以精確有理數重算 Exp term14 factorial step1，不以小數近似替代。
• S135 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through13，不以小數近似替代。
• S134 · premise_and_result_audit — 以精確有理數重算 Exp term13 power over factorial，不以小數近似替代。
• S133 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S132 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step13，不以小數近似替代。
• S131 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step12，不以小數近似替代。
• S130 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step11，不以小數近似替代。
• S129 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step10，不以小數近似替代。
• S128 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step9，不以小數近似替代。
• S127 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step8，不以小數近似替代。
• S126 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step7，不以小數近似替代。
• S125 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step6，不以小數近似替代。
• S124 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step5，不以小數近似替代。
• S123 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step4，不以小數近似替代。
• S122 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step3，不以小數近似替代。
• S121 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step2，不以小數近似替代。
• S120 · premise_and_result_audit — 以精確有理數重算 Exp term13 factorial step1，不以小數近似替代。
• S119 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through12，不以小數近似替代。
• S118 · premise_and_result_audit — 以精確有理數重算 Exp term12 power over factorial，不以小數近似替代。
• S117 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S116 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step12，不以小數近似替代。
• S115 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step11，不以小數近似替代。
• S114 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step10，不以小數近似替代。
• S113 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step9，不以小數近似替代。
• S112 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step8，不以小數近似替代。
• S111 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step7，不以小數近似替代。
• S110 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step6，不以小數近似替代。
• S109 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step5，不以小數近似替代。
• S108 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step4，不以小數近似替代。
• S107 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step3，不以小數近似替代。
• S106 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step2，不以小數近似替代。
• S105 · premise_and_result_audit — 以精確有理數重算 Exp term12 factorial step1，不以小數近似替代。
• S104 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through11，不以小數近似替代。
• S103 · premise_and_result_audit — 以精確有理數重算 Exp term11 power over factorial，不以小數近似替代。
• S102 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S101 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step11，不以小數近似替代。
• S100 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step10，不以小數近似替代。
• S099 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step9，不以小數近似替代。
• S098 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step8，不以小數近似替代。
• S097 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step7，不以小數近似替代。
• S096 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step6，不以小數近似替代。
• S095 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step5，不以小數近似替代。
• S094 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step4，不以小數近似替代。
• S093 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step3，不以小數近似替代。
• S092 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step2，不以小數近似替代。
• S091 · premise_and_result_audit — 以精確有理數重算 Exp term11 factorial step1，不以小數近似替代。
• S090 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through10，不以小數近似替代。
• S089 · premise_and_result_audit — 以精確有理數重算 Exp term10 power over factorial，不以小數近似替代。
• S088 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S087 · premise_and_result_audit — 以精確有理數重算 Exp term10 factorial step10，不以小數近似替代。
• S086 · premise_and_result_audit — 以精確有理數重算 Exp term10 factorial step9，不以小數近似替代。
• S085 · premise_and_result_audit — 以精確有理數重算 Exp term10 factorial step8，不以小數近似替代。
• S084 · premise_and_result_audit — 以精確有理數重算 Exp term10 factorial step7，不以小數近似替代。
• S083 · premise_and_result_audit — 以精確有理數重算 Exp term10 factorial step6，不以小數近似替代。
• S082 · premise_and_result_audit — 以精確有理數重算 Exp term10 factorial step5，不以小數近似替代。
• S081 · premise_and_result_audit — 以精確有理數重算 Exp term10 factorial step4，不以小數近似替代。
• S080 · premise_and_result_audit — 以精確有理數重算 Exp term10 factorial step3，不以小數近似替代。
• S079 · premise_and_result_audit — 以精確有理數重算 Exp term10 factorial step2，不以小數近似替代。
• S078 · premise_and_result_audit — 以精確有理數重算 Exp term10 factorial step1，不以小數近似替代。
• S077 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through9，不以小數近似替代。
• S076 · premise_and_result_audit — 以精確有理數重算 Exp term9 power over factorial，不以小數近似替代。
• S075 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S074 · premise_and_result_audit — 以精確有理數重算 Exp term9 factorial step9，不以小數近似替代。
• S073 · premise_and_result_audit — 以精確有理數重算 Exp term9 factorial step8，不以小數近似替代。
• S072 · premise_and_result_audit — 以精確有理數重算 Exp term9 factorial step7，不以小數近似替代。
• S071 · premise_and_result_audit — 以精確有理數重算 Exp term9 factorial step6，不以小數近似替代。
• S070 · premise_and_result_audit — 以精確有理數重算 Exp term9 factorial step5，不以小數近似替代。
• S069 · premise_and_result_audit — 以精確有理數重算 Exp term9 factorial step4，不以小數近似替代。
• S068 · premise_and_result_audit — 以精確有理數重算 Exp term9 factorial step3，不以小數近似替代。
• S067 · premise_and_result_audit — 以精確有理數重算 Exp term9 factorial step2，不以小數近似替代。
• S066 · premise_and_result_audit — 以精確有理數重算 Exp term9 factorial step1，不以小數近似替代。
• S065 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through8，不以小數近似替代。
• S064 · premise_and_result_audit — 以精確有理數重算 Exp term8 power over factorial，不以小數近似替代。
• S063 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S062 · premise_and_result_audit — 以精確有理數重算 Exp term8 factorial step8，不以小數近似替代。
• S061 · premise_and_result_audit — 以精確有理數重算 Exp term8 factorial step7，不以小數近似替代。
• S060 · premise_and_result_audit — 以精確有理數重算 Exp term8 factorial step6，不以小數近似替代。
• S059 · premise_and_result_audit — 以精確有理數重算 Exp term8 factorial step5，不以小數近似替代。
• S058 · premise_and_result_audit — 以精確有理數重算 Exp term8 factorial step4，不以小數近似替代。
• S057 · premise_and_result_audit — 以精確有理數重算 Exp term8 factorial step3，不以小數近似替代。
• S056 · premise_and_result_audit — 以精確有理數重算 Exp term8 factorial step2，不以小數近似替代。
• S055 · premise_and_result_audit — 以精確有理數重算 Exp term8 factorial step1，不以小數近似替代。
• S054 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through7，不以小數近似替代。
• S053 · premise_and_result_audit — 以精確有理數重算 Exp term7 power over factorial，不以小數近似替代。
• S052 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S051 · premise_and_result_audit — 以精確有理數重算 Exp term7 factorial step7，不以小數近似替代。
• S050 · premise_and_result_audit — 以精確有理數重算 Exp term7 factorial step6，不以小數近似替代。
• S049 · premise_and_result_audit — 以精確有理數重算 Exp term7 factorial step5，不以小數近似替代。
• S048 · premise_and_result_audit — 以精確有理數重算 Exp term7 factorial step4，不以小數近似替代。
• S047 · premise_and_result_audit — 以精確有理數重算 Exp term7 factorial step3，不以小數近似替代。
• S046 · premise_and_result_audit — 以精確有理數重算 Exp term7 factorial step2，不以小數近似替代。
• S045 · premise_and_result_audit — 以精確有理數重算 Exp term7 factorial step1，不以小數近似替代。
• S044 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through6，不以小數近似替代。
• S043 · premise_and_result_audit — 以精確有理數重算 Exp term6 power over factorial，不以小數近似替代。
• S042 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S041 · premise_and_result_audit — 以精確有理數重算 Exp term6 factorial step6，不以小數近似替代。
• S040 · premise_and_result_audit — 以精確有理數重算 Exp term6 factorial step5，不以小數近似替代。
• S039 · premise_and_result_audit — 以精確有理數重算 Exp term6 factorial step4，不以小數近似替代。
• S038 · premise_and_result_audit — 以精確有理數重算 Exp term6 factorial step3，不以小數近似替代。
• S037 · premise_and_result_audit — 以精確有理數重算 Exp term6 factorial step2，不以小數近似替代。
• S036 · premise_and_result_audit — 以精確有理數重算 Exp term6 factorial step1，不以小數近似替代。
• S035 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through5，不以小數近似替代。
• S034 · premise_and_result_audit — 以精確有理數重算 Exp term5 power over factorial，不以小數近似替代。
• S033 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S032 · premise_and_result_audit — 以精確有理數重算 Exp term5 factorial step5，不以小數近似替代。
• S031 · premise_and_result_audit — 以精確有理數重算 Exp term5 factorial step4，不以小數近似替代。
• S030 · premise_and_result_audit — 以精確有理數重算 Exp term5 factorial step3，不以小數近似替代。
• S029 · premise_and_result_audit — 以精確有理數重算 Exp term5 factorial step2，不以小數近似替代。
• S028 · premise_and_result_audit — 以精確有理數重算 Exp term5 factorial step1，不以小數近似替代。
• S027 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through4，不以小數近似替代。
• S026 · premise_and_result_audit — 以精確有理數重算 Exp term4 power over factorial，不以小數近似替代。
• S025 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S024 · premise_and_result_audit — 以精確有理數重算 Exp term4 factorial step4，不以小數近似替代。
• S023 · premise_and_result_audit — 以精確有理數重算 Exp term4 factorial step3，不以小數近似替代。
• S022 · premise_and_result_audit — 以精確有理數重算 Exp term4 factorial step2，不以小數近似替代。
• S021 · premise_and_result_audit — 以精確有理數重算 Exp term4 factorial step1，不以小數近似替代。
• S020 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through3，不以小數近似替代。
• S019 · premise_and_result_audit — 以精確有理數重算 Exp term3 power over factorial，不以小數近似替代。
• S018 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S017 · premise_and_result_audit — 以精確有理數重算 Exp term3 factorial step3，不以小數近似替代。
• S016 · premise_and_result_audit — 以精確有理數重算 Exp term3 factorial step2，不以小數近似替代。
• S015 · premise_and_result_audit — 以精確有理數重算 Exp term3 factorial step1，不以小數近似替代。
• S014 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through2，不以小數近似替代。
• S013 · premise_and_result_audit — 以精確有理數重算 Exp term2 power over factorial，不以小數近似替代。
• S012 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S011 · premise_and_result_audit — 以精確有理數重算 Exp term2 factorial step2，不以小數近似替代。
• S010 · premise_and_result_audit — 以精確有理數重算 Exp term2 factorial step1，不以小數近似替代。
• S009 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through1，不以小數近似替代。
• S008 · premise_and_result_audit — 以精確有理數重算 Exp term1 power over factorial，不以小數近似替代。
• S007 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S006 · premise_and_result_audit — 以精確有理數重算 Exp term1 factorial step1，不以小數近似替代。
• S005 · premise_and_result_audit — 以精確有理數重算 Exp cumulative sum through0，不以小數近似替代。
• S004 · premise_and_result_audit — 以精確有理數重算 Exp term0 power over factorial，不以小數近似替代。
• S003 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S002 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S001 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。

結論

(25/26, 29, [1, 25/26, 625/1352, 15625/105456, 390625/10967424, 1953125/285153024, 48828125/44483871744, 1220703125/8096064657408, 30517578125/1683981448740864, 762939453125/394051659005362176, 3814697265625/20490686268278833152, 95367431640625/5860336272727746281472, 2384185791015625/1828424917091056839819264, 59604644775390625/618007621976777211858911232, 1490116119384765625/224954774399546905116643688448, 7450580596923828125/17546472403164658599098207698944, 186264514923095703125/7299332519716497977224854402760704, 4656612873077392578125/3226304973714692105933385646020231168, 116415321826934814453125/1509910727698475905576824482337468186624, 2910383045673370361328125/745895899483047097354951294274709284192256, 14551915228366851806640625/77573173546236898124914934604569765555994624, 363797880709171295166015625/42354952756245346376203554294095091993573064704, 9094947017729282379150390625/24227032976572338127188433056222392620323793010688, 227373675443232059478759765625/14487765719990258200058682967620990786953628220391424, 5684341886080801486968994140625/9040365809273921116836618171795498251059064009524248576, 5684341886080801486968994140625/235049511041121949037752072466682954527535664247630462976, 142108547152020037174224853515625/158893469463798437549520400987477677260614109031398192971776, 3552713678800500929355621337890625/111543215563586503159763321493209329436951104540041531466186752, 88817841970012523233890533447265625/81203460930290974300307698047056391830100404105150234907383955456, 2220446049250313080847263336181640625/61227409541439394622432004327480519439895704695283277120167502413824], [1, 51/26, 3277/1352, 271231/105456, 9532883/3655808, 745517999/285153024, 116349635969/44483871744, 7058951483161/2698688219136, 4404816243070589/1683981448740864, 1030727763817970951/394051659005362176, 17865949177743918359/6830228756092944384, 15328984489871713592647/5860336272727746281472, 4782643163224160431921489/1828424917091056839819264, 76977780439493850988802567/29428934379846533898043392, 588418153680981113077791587773/224954774399546905116643688448, 45896615987123977400664667674419/17546472403164658599098207698944, 6364330750214586954397141616087143/2433110839905499325741618134253568, 8439102574784546958143482860324129743/3226304973714692105933385646020231168, 232323529705833417225086576798029833697/88818278099910347386872028372792246272, 650351000823196346922220039207741634905177/248631966494349032451650431424903094730752, 28987073179548180036326366780168891699579407/11081881935176699732130704943509966507999232, 110788593692233144099203171714514675370958509179/42354952756245346376203554294095091993573064704, 21123691863985786141584436389240041198189139213671/8075677658857446042396144352074130873441264336896, 37895903203990500338002706255972077141610794509091399/14487765719990258200058682967620990786953628220391424, 23647043599290072210913694388068462217166622742667173601/9040365809273921116836618171795498251059064009524248576, 10786370764588453990943088767967050942581292601374397443/4123675632300385070837755657310227272412906390309306368, 415620438301122309179019096549414954071562403690383135789301/158893469463798437549520400987477677260614109031398192971776, 5954398932395670633544314403698816559939536904489889442081223/2276392154358908227750271867208353661978593970204929213595648, 70801772905472787613264261136277667389377724326732408903789550827/27067820310096991433435899349018797276700134701716744969127985152, 160153610312179445581203758690262304080821662740149556203708145611299/61227409541439394622432004327480519439895704695283277120167502413824], 160153610312179445581203758690262304080821662740149556203708145611299/61227409541439394622432004327480519439895704695283277120167502413824, 否, finite_partial_sum_is_not_the_infinite_exponential_value)

依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。

本題覆核與來源綁定

覆核日期：2026-10-26

原題、答案、步驟表達式、數值 AST 與既有歷史保持原樣；原來的候選狀態屬於來源歷史，不覆寫為形式化證明。