Picture Poker is a playable minigame in New Super Mario Bros. on the Nintendo DS. It is a simple variant of five-card draw poker.
The deck consists of 30 cards, 5 each of the following (increasing in value from left to right):
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Luigi deals 5 cards to you and himself. You can choose to wager some number of coins, then throw any subset of your cards away and be dealt replacements, like in normal five-card draw. Luigi then throws some of his cards (he always throws his singletons) and is dealt replacements. Then there is a showdown.
| Example hand | Rank | Coins won |
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Five of a Kind | 16 |
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Four of a Kind | 8 |
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Full House | 6 |
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Three of a Kind | 4 |
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Two Pair | 3 |
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One Pair | 2 |
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Junk | - |
The hand ranks are shown above. There are no flushes or straights. Also, unlike in normal poker, only pairs or higher are considered as tie-breakers.
If you win against Luigi, you receive the listed number of coins as a payout (though one of them is the coin you wagered, which is a bit of a scam). If you draw, you receive your wagered coin back. If you lose, you lose your coin. You also have the opportunity to wager up to five coins as your bankroll grows, which just multiplies all the above numbers by the wagered amount.
And grow your bankroll will. If you’ve been paying attention, you will notice this bet structure is completely ridiculous and Luigi is possibly the worst casino operator of all time. He is literally haemorrhaging money to whoever turns up.
There are many questions we might have about Picture Poker. What’s the optimal playing strategy? Does it differ depending on whether you maximise expected coins or maximise chance of winning? How likely is each hand with the best strategy? More on this below, but it turns out that optimal strategy can be described in one sentence:
Keep your highest card with Junk, throw away singletons with everything else, and always wager the maximum number of coins.
This is an interesting result and it means that the only time Luigi plays less than perfectly is when he’s dealt Junk (he bins the lot). It is unsurprisingly not trivial and requires calculation. Luckily Picture Poker is a small enough game that it can be brute-forced.
I’m not going to talk much about how you would brute-force Picture Poker, but there are two convenient structures that come up. One is to recognise that everything is just a multiset and implement things in terms of a multiset algebra. The deck is always a multiset, your hand is a multiset, you throw away some multisubset of cards from your hand, and so on. This unifies everything, it’s easy to implement without mutation and your life will be a lot easier. Another is to avoid duplication during the generation of size-\(n\) multisubsets of a set by observing that the probability of selecting \(n\) cards from a multiset \(X=\{d_1^{(x_1)},\ldots,d_m^{(x_m)}\}\) with \(n\leq |X|\) and obtaining \(Y=\{d_1^{(y_1)},\ldots,d_m^{(y_m)}\}\) is
\[ \left[\prod_{i=1}^m \binom{y_i}{x_i} \right]\bigg/ \binom{|Y|}{|X|} \]and thus just returning pairs of multisubsets and their associated probability.
Anyway, having done this, what does the data say? It turns out that for every possible starting hand, there is a unique play that is best under both maximising £££ and maximising the chance of winning. More surprisingly, it turns out that every starting hand has positive expected value of coinage with the correct play. Even the worst possible starting hand
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yields \(\frac{3818310866}{58561878375} \approx 0.060251\) coins in expectation with the optimal play of keeping the Mario and dumping the rest. (Keeping just the Luigi is the only other play that scrapes in just above zero.) This is despite you losing to Luigi about two-thirds of the time. His bet structure is just that absurdly advantageous to you.
There are a lot of questions one might have about the data. I may fill this in with more information when I have time.
With optimal play (in either sense of maximising E[coins] or maximising win %), we have overall outcomes per hand as follows:
And the distribution of hand types under optimal play:
(Note that the above is not necessarily the play that maximises your chance of any given hand type or higher. If you have a full house, the optimal play in terms of both E[coins] and win% is to keep your whole hand. But if you wanted to maximise your chance of getting five of a kind, you would discard the pair and pray.)
This table below enumerates the optimal discard and a variety of probabilities for every possible starting hand.
| Hand | Initial% | BestKeep | Posterior% | E[coins] | Win | Draw | Loss | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| \(\frac{1}{142506}\) | 0.0007% | | \(\frac{31883}{216324108}\) | 0.0147% | \(15\) | 15.000000 | \(1\) | 100.0000% | - | - | - | - |
| \(\frac{1}{142506}\) | 0.0007% | | \(\frac{1321}{9405396}\) | 0.0140% | \(\frac{22704739}{1514205}\) | 14.994495 | \(\frac{1513684}{1514205}\) | 99.9656% | - | - | \(\frac{521}{1514205}\) | 0.0344% |
| \(\frac{1}{142506}\) | 0.0007% | | \(\frac{682}{4916457}\) | 0.0139% | \(\frac{22696403}{1514205}\) | 14.988990 | \(\frac{1513163}{1514205}\) | 99.9312% | - | - | \(\frac{1042}{1514205}\) | 0.0688% |
| \(\frac{1}{142506}\) | 0.0007% | | \(\frac{682}{4916457}\) | 0.0139% | \(\frac{7562689}{504735}\) | 14.983484 | \(\frac{504214}{504735}\) | 99.8968% | - | - | \(\frac{521}{504735}\) | 0.1032% |
| \(\frac{1}{142506}\) | 0.0007% | | \(\frac{682}{4916457}\) | 0.0139% | \(\frac{22679731}{1514205}\) | 14.977979 | \(\frac{1512121}{1514205}\) | 99.8624% | - | - | \(\frac{2084}{1514205}\) | 0.1376% |
| \(\frac{1}{142506}\) | 0.0007% | | \(\frac{682}{4916457}\) | 0.0139% | \(\frac{4534279}{302841}\) | 14.972474 | \(\frac{302320}{302841}\) | 99.8280% | - | - | \(\frac{521}{302841}\) | 0.1720% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{22699}{16640316}\) | 0.1364% | \(\frac{313577489}{42902475}\) | 7.309077 | \(\frac{85687793}{85804950}\) | 99.8635% | - | - | \(\frac{117157}{85804950}\) | 0.1365% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{73303}{54081027}\) | 0.1355% | \(\frac{313577489}{42902475}\) | 7.309077 | \(\frac{85687793}{85804950}\) | 99.8635% | - | - | \(\frac{117157}{85804950}\) | 0.1365% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{73303}{54081027}\) | 0.1355% | \(\frac{313577489}{42902475}\) | 7.309077 | \(\frac{85687793}{85804950}\) | 99.8635% | - | - | \(\frac{117157}{85804950}\) | 0.1365% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{73303}{54081027}\) | 0.1355% | \(\frac{313577489}{42902475}\) | 7.309077 | \(\frac{85687793}{85804950}\) | 99.8635% | - | - | \(\frac{117157}{85804950}\) | 0.1365% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{73303}{54081027}\) | 0.1355% | \(\frac{313577489}{42902475}\) | 7.309077 | \(\frac{85687793}{85804950}\) | 99.8635% | - | - | \(\frac{117157}{85804950}\) | 0.1365% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{38941}{30903444}\) | 0.1260% | \(\frac{937933327}{128707425}\) | 7.287329 | \(\frac{128181797}{128707425}\) | 99.5916% | - | - | \(\frac{525628}{128707425}\) | 0.4084% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{66928}{54081027}\) | 0.1238% | \(\frac{309586973}{42902475}\) | 7.216063 | \(\frac{508149841}{514829700}\) | 98.7025% | - | - | \(\frac{6679859}{514829700}\) | 1.2975% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{66928}{54081027}\) | 0.1238% | \(\frac{309586973}{42902475}\) | 7.216063 | \(\frac{508149841}{514829700}\) | 98.7025% | - | - | \(\frac{6679859}{514829700}\) | 1.2975% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{66928}{54081027}\) | 0.1238% | \(\frac{309586973}{42902475}\) | 7.216063 | \(\frac{508149841}{514829700}\) | 98.7025% | - | - | \(\frac{6679859}{514829700}\) | 1.2975% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{66928}{54081027}\) | 0.1238% | \(\frac{309586973}{42902475}\) | 7.216063 | \(\frac{508149841}{514829700}\) | 98.7025% | - | - | \(\frac{6679859}{514829700}\) | 1.2975% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{265087}{216324108}\) | 0.1225% | \(\frac{925961779}{128707425}\) | 7.194315 | \(\frac{168916757}{171609900}\) | 98.4307% | - | - | \(\frac{2693143}{171609900}\) | 1.5693% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{37441}{30903444}\) | 0.1212% | \(\frac{925961779}{128707425}\) | 7.194315 | \(\frac{168916757}{171609900}\) | 98.4307% | - | - | \(\frac{2693143}{171609900}\) | 1.5693% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{305596457}{42902475}\) | 7.123050 | \(\frac{11413021}{11700675}\) | 97.5416% | - | - | \(\frac{287654}{11700675}\) | 2.4584% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{305596457}{42902475}\) | 7.123050 | \(\frac{11413021}{11700675}\) | 97.5416% | - | - | \(\frac{287654}{11700675}\) | 2.4584% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{305596457}{42902475}\) | 7.123050 | \(\frac{11413021}{11700675}\) | 97.5416% | - | - | \(\frac{287654}{11700675}\) | 2.4584% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{265087}{216324108}\) | 0.1225% | \(\frac{624737}{87975}\) | 7.101302 | \(\frac{250386677}{257414850}\) | 97.2697% | - | - | \(\frac{7028173}{257414850}\) | 2.7303% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{37441}{30903444}\) | 0.1212% | \(\frac{624737}{87975}\) | 7.101302 | \(\frac{250386677}{257414850}\) | 97.2697% | - | - | \(\frac{7028173}{257414850}\) | 2.7303% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{624737}{87975}\) | 7.101302 | \(\frac{250386677}{257414850}\) | 97.2697% | - | - | \(\frac{7028173}{257414850}\) | 2.7303% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{43086563}{6128925}\) | 7.030036 | \(\frac{165398669}{171609900}\) | 96.3806% | - | - | \(\frac{6211231}{171609900}\) | 3.6194% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{43086563}{6128925}\) | 7.030036 | \(\frac{165398669}{171609900}\) | 96.3806% | - | - | \(\frac{6211231}{171609900}\) | 3.6194% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{265087}{216324108}\) | 0.1225% | \(\frac{902018683}{128707425}\) | 7.008288 | \(\frac{494796437}{514829700}\) | 96.1088% | - | - | \(\frac{20033263}{514829700}\) | 3.8912% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{37441}{30903444}\) | 0.1212% | \(\frac{902018683}{128707425}\) | 7.008288 | \(\frac{494796437}{514829700}\) | 96.1088% | - | - | \(\frac{20033263}{514829700}\) | 3.8912% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{902018683}{128707425}\) | 7.008288 | \(\frac{494796437}{514829700}\) | 96.1088% | - | - | \(\frac{20033263}{514829700}\) | 3.8912% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{902018683}{128707425}\) | 7.008288 | \(\frac{494796437}{514829700}\) | 96.1088% | - | - | \(\frac{20033263}{514829700}\) | 3.8912% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{11904617}{1716099}\) | 6.937022 | \(\frac{49021909}{51482970}\) | 95.2197% | - | - | \(\frac{2461061}{51482970}\) | 4.7803% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{265087}{216324108}\) | 0.1225% | \(\frac{178009427}{25741485}\) | 6.915274 | \(\frac{387952}{408595}\) | 94.9478% | - | - | \(\frac{20643}{408595}\) | 5.0522% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{37441}{30903444}\) | 0.1212% | \(\frac{178009427}{25741485}\) | 6.915274 | \(\frac{387952}{408595}\) | 94.9478% | - | - | \(\frac{20643}{408595}\) | 5.0522% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{178009427}{25741485}\) | 6.915274 | \(\frac{387952}{408595}\) | 94.9478% | - | - | \(\frac{20643}{408595}\) | 5.0522% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{178009427}{25741485}\) | 6.915274 | \(\frac{387952}{408595}\) | 94.9478% | - | - | \(\frac{20643}{408595}\) | 5.0522% |
| \(\frac{25}{142506}\) | 0.0175% | | \(\frac{5948}{4916457}\) | 0.1210% | \(\frac{178009427}{25741485}\) | 6.915274 | \(\frac{387952}{408595}\) | 94.9478% | - | - | \(\frac{20643}{408595}\) | 5.0522% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{79565}{18027009}\) | 0.4414% | \(\frac{5750663}{1225785}\) | 4.691412 | \(\frac{3488224}{3677355}\) | 94.8569% | - | - | \(\frac{189131}{3677355}\) | 5.1431% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{1135}{261261}\) | 0.4344% | \(\frac{5750663}{1225785}\) | 4.691412 | \(\frac{3488224}{3677355}\) | 94.8569% | - | - | \(\frac{189131}{3677355}\) | 5.1431% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{1135}{261261}\) | 0.4344% | \(\frac{5750663}{1225785}\) | 4.691412 | \(\frac{3488224}{3677355}\) | 94.8569% | - | - | \(\frac{189131}{3677355}\) | 5.1431% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{1135}{261261}\) | 0.4344% | \(\frac{5750663}{1225785}\) | 4.691412 | \(\frac{3488224}{3677355}\) | 94.8569% | - | - | \(\frac{189131}{3677355}\) | 5.1431% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{1135}{261261}\) | 0.4344% | \(\frac{5750663}{1225785}\) | 4.691412 | \(\frac{3488224}{3677355}\) | 94.8569% | - | - | \(\frac{189131}{3677355}\) | 5.1431% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{77065}{18027009}\) | 0.4275% | \(\frac{3637043}{780045}\) | 4.662607 | \(\frac{2208544}{2340135}\) | 94.3768% | - | - | \(\frac{131591}{2340135}\) | 5.6232% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{24355}{6009003}\) | 0.4053% | \(\frac{51258913}{11440660}\) | 4.480416 | \(\frac{62699573}{68643960}\) | 91.3403% | - | - | \(\frac{5944387}{68643960}\) | 8.6597% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{24355}{6009003}\) | 0.4053% | \(\frac{51258913}{11440660}\) | 4.480416 | \(\frac{62699573}{68643960}\) | 91.3403% | - | - | \(\frac{5944387}{68643960}\) | 8.6597% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{24355}{6009003}\) | 0.4053% | \(\frac{51258913}{11440660}\) | 4.480416 | \(\frac{62699573}{68643960}\) | 91.3403% | - | - | \(\frac{5944387}{68643960}\) | 8.6597% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{24355}{6009003}\) | 0.4053% | \(\frac{51258913}{11440660}\) | 4.480416 | \(\frac{62699573}{68643960}\) | 91.3403% | - | - | \(\frac{5944387}{68643960}\) | 8.6597% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{75190}{18027009}\) | 0.4171% | \(\frac{152788067}{34321980}\) | 4.451610 | \(\frac{187110047}{205931880}\) | 90.8602% | - | - | \(\frac{18821833}{205931880}\) | 9.1398% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{72440}{18027009}\) | 0.4018% | \(\frac{152788067}{34321980}\) | 4.451610 | \(\frac{187110047}{205931880}\) | 90.8602% | - | - | \(\frac{18821833}{205931880}\) | 9.1398% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{73267457}{17160990}\) | 4.269419 | \(\frac{90428447}{102965940}\) | 87.8237% | - | - | \(\frac{12537493}{102965940}\) | 12.1763% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{73267457}{17160990}\) | 4.269419 | \(\frac{90428447}{102965940}\) | 87.8237% | - | - | \(\frac{12537493}{102965940}\) | 12.1763% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{73267457}{17160990}\) | 4.269419 | \(\frac{90428447}{102965940}\) | 87.8237% | - | - | \(\frac{12537493}{102965940}\) | 12.1763% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{75190}{18027009}\) | 0.4171% | \(\frac{24257707}{5720330}\) | 4.240613 | \(\frac{9992679}{11440660}\) | 87.3436% | - | - | \(\frac{1447981}{11440660}\) | 12.6564% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{72440}{18027009}\) | 0.4018% | \(\frac{24257707}{5720330}\) | 4.240613 | \(\frac{9992679}{11440660}\) | 87.3436% | - | - | \(\frac{1447981}{11440660}\) | 12.6564% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{24257707}{5720330}\) | 4.240613 | \(\frac{9992679}{11440660}\) | 87.3436% | - | - | \(\frac{1447981}{11440660}\) | 12.6564% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{139293089}{34321980}\) | 4.058422 | \(\frac{173615069}{205931880}\) | 84.3070% | - | - | \(\frac{32316811}{205931880}\) | 15.6930% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{139293089}{34321980}\) | 4.058422 | \(\frac{173615069}{205931880}\) | 84.3070% | - | - | \(\frac{32316811}{205931880}\) | 15.6930% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{75190}{18027009}\) | 0.4171% | \(\frac{138304417}{34321980}\) | 4.029617 | \(\frac{172626397}{205931880}\) | 83.8269% | - | - | \(\frac{33305483}{205931880}\) | 16.1731% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{72440}{18027009}\) | 0.4018% | \(\frac{138304417}{34321980}\) | 4.029617 | \(\frac{172626397}{205931880}\) | 83.8269% | - | - | \(\frac{33305483}{205931880}\) | 16.1731% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{138304417}{34321980}\) | 4.029617 | \(\frac{172626397}{205931880}\) | 83.8269% | - | - | \(\frac{33305483}{205931880}\) | 16.1731% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{138304417}{34321980}\) | 4.029617 | \(\frac{172626397}{205931880}\) | 83.8269% | - | - | \(\frac{33305483}{205931880}\) | 16.1731% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{11004272}{2860165}\) | 3.847426 | \(\frac{4621479}{5720330}\) | 80.7904% | - | - | \(\frac{1098851}{5720330}\) | 19.2096% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{75190}{18027009}\) | 0.4171% | \(\frac{32765648}{8580495}\) | 3.818620 | \(\frac{41346143}{51482970}\) | 80.3103% | - | - | \(\frac{10136827}{51482970}\) | 19.6897% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{72440}{18027009}\) | 0.4018% | \(\frac{32765648}{8580495}\) | 3.818620 | \(\frac{41346143}{51482970}\) | 80.3103% | - | - | \(\frac{10136827}{51482970}\) | 19.6897% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{32765648}{8580495}\) | 3.818620 | \(\frac{41346143}{51482970}\) | 80.3103% | - | - | \(\frac{10136827}{51482970}\) | 19.6897% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{32765648}{8580495}\) | 3.818620 | \(\frac{41346143}{51482970}\) | 80.3103% | - | - | \(\frac{10136827}{51482970}\) | 19.6897% |
| \(\frac{50}{71253}\) | 0.0702% | | \(\frac{2180}{546273}\) | 0.3991% | \(\frac{32765648}{8580495}\) | 3.818620 | \(\frac{41346143}{51482970}\) | 80.3103% | - | - | \(\frac{10136827}{51482970}\) | 19.6897% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{478795}{108162054}\) | 0.4427% | \(\frac{437902193}{128707425}\) | 3.402307 | \(\frac{3138476899}{3603807900}\) | 87.0878% | - | - | \(\frac{465331001}{3603807900}\) | 12.9122% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{478795}{108162054}\) | 0.4427% | \(\frac{437902193}{128707425}\) | 3.402307 | \(\frac{3138476899}{3603807900}\) | 87.0878% | - | - | \(\frac{465331001}{3603807900}\) | 12.9122% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{478795}{108162054}\) | 0.4427% | \(\frac{437902193}{128707425}\) | 3.402307 | \(\frac{3138476899}{3603807900}\) | 87.0878% | - | - | \(\frac{465331001}{3603807900}\) | 12.9122% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{478795}{108162054}\) | 0.4427% | \(\frac{437902193}{128707425}\) | 3.402307 | \(\frac{3138476899}{3603807900}\) | 87.0878% | - | - | \(\frac{465331001}{3603807900}\) | 12.9122% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{42845}{9832914}\) | 0.4357% | \(\frac{437902193}{128707425}\) | 3.402307 | \(\frac{3138476899}{3603807900}\) | 87.0878% | - | - | \(\frac{465331001}{3603807900}\) | 12.9122% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{42845}{9832914}\) | 0.4357% | \(\frac{437902193}{128707425}\) | 3.402307 | \(\frac{3138476899}{3603807900}\) | 87.0878% | - | - | \(\frac{465331001}{3603807900}\) | 12.9122% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{42845}{9832914}\) | 0.4357% | \(\frac{437902193}{128707425}\) | 3.402307 | \(\frac{3138476899}{3603807900}\) | 87.0878% | - | - | \(\frac{465331001}{3603807900}\) | 12.9122% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{42845}{9832914}\) | 0.4357% | \(\frac{437902193}{128707425}\) | 3.402307 | \(\frac{3138476899}{3603807900}\) | 87.0878% | - | - | \(\frac{465331001}{3603807900}\) | 12.9122% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{42845}{9832914}\) | 0.4357% | \(\frac{437902193}{128707425}\) | 3.402307 | \(\frac{3138476899}{3603807900}\) | 87.0878% | - | - | \(\frac{465331001}{3603807900}\) | 12.9122% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{42845}{9832914}\) | 0.4357% | \(\frac{437902193}{128707425}\) | 3.402307 | \(\frac{3138476899}{3603807900}\) | 87.0878% | - | - | \(\frac{465331001}{3603807900}\) | 12.9122% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{415045}{108162054}\) | 0.3837% | \(\frac{11912892143}{3603807900}\) | 3.305640 | \(\frac{359741491}{423977400}\) | 84.8492% | - | - | \(\frac{64235909}{423977400}\) | 15.1508% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{415045}{108162054}\) | 0.3837% | \(\frac{11912892143}{3603807900}\) | 3.305640 | \(\frac{359741491}{423977400}\) | 84.8492% | - | - | \(\frac{64235909}{423977400}\) | 15.1508% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{415045}{108162054}\) | 0.3837% | \(\frac{11912892143}{3603807900}\) | 3.305640 | \(\frac{359741491}{423977400}\) | 84.8492% | - | - | \(\frac{64235909}{423977400}\) | 15.1508% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{415045}{108162054}\) | 0.3837% | \(\frac{11912892143}{3603807900}\) | 3.305640 | \(\frac{359741491}{423977400}\) | 84.8492% | - | - | \(\frac{64235909}{423977400}\) | 15.1508% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{390295}{108162054}\) | 0.3608% | \(\frac{375638848}{117515475}\) | 3.196505 | \(\frac{4454585483}{5405711850}\) | 82.4052% | - | - | \(\frac{951126367}{5405711850}\) | 17.5948% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{390295}{108162054}\) | 0.3608% | \(\frac{375638848}{117515475}\) | 3.196505 | \(\frac{4454585483}{5405711850}\) | 82.4052% | - | - | \(\frac{951126367}{5405711850}\) | 17.5948% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{390295}{108162054}\) | 0.3608% | \(\frac{375638848}{117515475}\) | 3.196505 | \(\frac{4454585483}{5405711850}\) | 82.4052% | - | - | \(\frac{951126367}{5405711850}\) | 17.5948% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{390295}{108162054}\) | 0.3608% | \(\frac{375638848}{117515475}\) | 3.196505 | \(\frac{4454585483}{5405711850}\) | 82.4052% | - | - | \(\frac{951126367}{5405711850}\) | 17.5948% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{390295}{108162054}\) | 0.3608% | \(\frac{375638848}{117515475}\) | 3.196505 | \(\frac{4454585483}{5405711850}\) | 82.4052% | - | - | \(\frac{951126367}{5405711850}\) | 17.5948% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{390295}{108162054}\) | 0.3608% | \(\frac{375638848}{117515475}\) | 3.196505 | \(\frac{4454585483}{5405711850}\) | 82.4052% | - | - | \(\frac{951126367}{5405711850}\) | 17.5948% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{396295}{108162054}\) | 0.3664% | \(\frac{525660131}{163809450}\) | 3.208973 | \(\frac{106326016}{128707425}\) | 82.6106% | - | - | \(\frac{22381409}{128707425}\) | 17.3894% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{33513666233}{10811423700}\) | 3.099838 | \(\frac{17334296579}{21622847400}\) | 80.1666% | - | - | \(\frac{4288550821}{21622847400}\) | 19.8334% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{33513666233}{10811423700}\) | 3.099838 | \(\frac{17334296579}{21622847400}\) | 80.1666% | - | - | \(\frac{4288550821}{21622847400}\) | 19.8334% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{33513666233}{10811423700}\) | 3.099838 | \(\frac{17334296579}{21622847400}\) | 80.1666% | - | - | \(\frac{4288550821}{21622847400}\) | 19.8334% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{33513666233}{10811423700}\) | 3.099838 | \(\frac{17334296579}{21622847400}\) | 80.1666% | - | - | \(\frac{4288550821}{21622847400}\) | 19.8334% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{33513666233}{10811423700}\) | 3.099838 | \(\frac{17334296579}{21622847400}\) | 80.1666% | - | - | \(\frac{4288550821}{21622847400}\) | 19.8334% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{33513666233}{10811423700}\) | 3.099838 | \(\frac{17334296579}{21622847400}\) | 80.1666% | - | - | \(\frac{4288550821}{21622847400}\) | 19.8334% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{1616688191}{540571185}\) | 2.990704 | \(\frac{1680582247}{2162284740}\) | 77.7225% | - | - | \(\frac{481702493}{2162284740}\) | 22.2775% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{1616688191}{540571185}\) | 2.990704 | \(\frac{1680582247}{2162284740}\) | 77.7225% | - | - | \(\frac{481702493}{2162284740}\) | 22.2775% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{1616688191}{540571185}\) | 2.990704 | \(\frac{1680582247}{2162284740}\) | 77.7225% | - | - | \(\frac{481702493}{2162284740}\) | 22.2775% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{396295}{108162054}\) | 0.3664% | \(\frac{649371169}{216228474}\) | 3.003171 | \(\frac{8425125613}{10811423700}\) | 77.9280% | - | - | \(\frac{2386298087}{10811423700}\) | 22.0720% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{649371169}{216228474}\) | 3.003171 | \(\frac{8425125613}{10811423700}\) | 77.9280% | - | - | \(\frac{2386298087}{10811423700}\) | 22.0720% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{31288656037}{10811423700}\) | 2.894037 | \(\frac{16321777117}{21622847400}\) | 75.4839% | - | - | \(\frac{5301070283}{21622847400}\) | 24.5161% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{31288656037}{10811423700}\) | 2.894037 | \(\frac{16321777117}{21622847400}\) | 75.4839% | - | - | \(\frac{5301070283}{21622847400}\) | 24.5161% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{649371169}{216228474}\) | 3.003171 | \(\frac{8425125613}{10811423700}\) | 77.9280% | - | - | \(\frac{2386298087}{10811423700}\) | 22.0720% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{31288656037}{10811423700}\) | 2.894037 | \(\frac{16321777117}{21622847400}\) | 75.4839% | - | - | \(\frac{5301070283}{21622847400}\) | 24.5161% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{31288656037}{10811423700}\) | 2.894037 | \(\frac{16321777117}{21622847400}\) | 75.4839% | - | - | \(\frac{5301070283}{21622847400}\) | 24.5161% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{31288656037}{10811423700}\) | 2.894037 | \(\frac{16321777117}{21622847400}\) | 75.4839% | - | - | \(\frac{5301070283}{21622847400}\) | 24.5161% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{31288656037}{10811423700}\) | 2.894037 | \(\frac{16321777117}{21622847400}\) | 75.4839% | - | - | \(\frac{5301070283}{21622847400}\) | 24.5161% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{2509062802}{900951975}\) | 2.784902 | \(\frac{5529868}{7571025}\) | 73.0399% | - | - | \(\frac{2041157}{7571025}\) | 26.9601% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{396295}{108162054}\) | 0.3664% | \(\frac{15121774127}{5405711850}\) | 2.797370 | \(\frac{3959432941}{5405711850}\) | 73.2454% | - | - | \(\frac{1446278909}{5405711850}\) | 26.7546% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{15121774127}{5405711850}\) | 2.797370 | \(\frac{3959432941}{5405711850}\) | 73.2454% | - | - | \(\frac{1446278909}{5405711850}\) | 26.7546% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{15121774127}{5405711850}\) | 2.797370 | \(\frac{3959432941}{5405711850}\) | 73.2454% | - | - | \(\frac{1446278909}{5405711850}\) | 26.7546% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{9687881947}{3603807900}\) | 2.688235 | \(\frac{1020617177}{1441523160}\) | 70.8013% | - | - | \(\frac{420905983}{1441523160}\) | 29.1987% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{15121774127}{5405711850}\) | 2.797370 | \(\frac{3959432941}{5405711850}\) | 73.2454% | - | - | \(\frac{1446278909}{5405711850}\) | 26.7546% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{15121774127}{5405711850}\) | 2.797370 | \(\frac{3959432941}{5405711850}\) | 73.2454% | - | - | \(\frac{1446278909}{5405711850}\) | 26.7546% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{9687881947}{3603807900}\) | 2.688235 | \(\frac{1020617177}{1441523160}\) | 70.8013% | - | - | \(\frac{420905983}{1441523160}\) | 29.1987% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{15121774127}{5405711850}\) | 2.797370 | \(\frac{3959432941}{5405711850}\) | 73.2454% | - | - | \(\frac{1446278909}{5405711850}\) | 26.7546% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{9687881947}{3603807900}\) | 2.688235 | \(\frac{1020617177}{1441523160}\) | 70.8013% | - | - | \(\frac{420905983}{1441523160}\) | 29.1987% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{9687881947}{3603807900}\) | 2.688235 | \(\frac{1020617177}{1441523160}\) | 70.8013% | - | - | \(\frac{420905983}{1441523160}\) | 29.1987% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{396295}{108162054}\) | 0.3664% | \(\frac{667108049}{257414850}\) | 2.591568 | \(\frac{2470868717}{3603807900}\) | 68.5627% | - | - | \(\frac{1132939183}{3603807900}\) | 31.4373% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{667108049}{257414850}\) | 2.591568 | \(\frac{2470868717}{3603807900}\) | 68.5627% | - | - | \(\frac{1132939183}{3603807900}\) | 31.4373% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{667108049}{257414850}\) | 2.591568 | \(\frac{2470868717}{3603807900}\) | 68.5627% | - | - | \(\frac{1132939183}{3603807900}\) | 31.4373% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{392545}{108162054}\) | 0.3629% | \(\frac{667108049}{257414850}\) | 2.591568 | \(\frac{2470868717}{3603807900}\) | 68.5627% | - | - | \(\frac{1132939183}{3603807900}\) | 31.4373% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{667108049}{257414850}\) | 2.591568 | \(\frac{2470868717}{3603807900}\) | 68.5627% | - | - | \(\frac{1132939183}{3603807900}\) | 31.4373% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{667108049}{257414850}\) | 2.591568 | \(\frac{2470868717}{3603807900}\) | 68.5627% | - | - | \(\frac{1132939183}{3603807900}\) | 31.4373% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{375295}{108162054}\) | 0.3470% | \(\frac{667108049}{257414850}\) | 2.591568 | \(\frac{2470868717}{3603807900}\) | 68.5627% | - | - | \(\frac{1132939183}{3603807900}\) | 31.4373% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{667108049}{257414850}\) | 2.591568 | \(\frac{2470868717}{3603807900}\) | 68.5627% | - | - | \(\frac{1132939183}{3603807900}\) | 31.4373% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{667108049}{257414850}\) | 2.591568 | \(\frac{2470868717}{3603807900}\) | 68.5627% | - | - | \(\frac{1132939183}{3603807900}\) | 31.4373% |
| \(\frac{125}{71253}\) | 0.1754% | | \(\frac{4835}{1404702}\) | 0.3442% | \(\frac{667108049}{257414850}\) | 2.591568 | \(\frac{2470868717}{3603807900}\) | 68.5627% | - | - | \(\frac{1132939183}{3603807900}\) | 31.4373% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{116470}{18027009}\) | 0.6461% | \(\frac{1094507}{621775}\) | 1.760294 | \(\frac{33874637}{49031400}\) | 69.0876% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{21697}{71400}\) | 30.3880% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{116470}{18027009}\) | 0.6461% | \(\frac{1094507}{621775}\) | 1.760294 | \(\frac{33874637}{49031400}\) | 69.0876% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{21697}{71400}\) | 30.3880% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{116470}{18027009}\) | 0.6461% | \(\frac{1094507}{621775}\) | 1.760294 | \(\frac{33874637}{49031400}\) | 69.0876% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{21697}{71400}\) | 30.3880% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{116470}{18027009}\) | 0.6461% | \(\frac{1094507}{621775}\) | 1.760294 | \(\frac{33874637}{49031400}\) | 69.0876% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{21697}{71400}\) | 30.3880% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{113345}{18027009}\) | 0.6288% | \(\frac{1969015}{1144066}\) | 1.721068 | \(\frac{77801183}{114406600}\) | 68.0041% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{36005463}{114406600}\) | 31.4715% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{96868239}{57203300}\) | 1.693403 | \(\frac{231069719}{343219800}\) | 67.3241% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{15764317}{49031400}\) | 32.1515% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{96868239}{57203300}\) | 1.693403 | \(\frac{231069719}{343219800}\) | 67.3241% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{15764317}{49031400}\) | 32.1515% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{96868239}{57203300}\) | 1.693403 | \(\frac{231069719}{343219800}\) | 67.3241% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{15764317}{49031400}\) | 32.1515% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{113345}{18027009}\) | 0.6288% | \(\frac{18924869}{11440660}\) | 1.654176 | \(\frac{636837}{961400}\) | 66.2406% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{38023043}{114406600}\) | 33.2350% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{18924869}{11440660}\) | 1.654176 | \(\frac{636837}{961400}\) | 66.2406% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{38023043}{114406600}\) | 33.2350% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{46520917}{28601650}\) | 1.626512 | \(\frac{20456089}{31201800}\) | 65.5606% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{116402959}{343219800}\) | 33.9150% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{46520917}{28601650}\) | 1.626512 | \(\frac{20456089}{31201800}\) | 65.5606% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{116402959}{343219800}\) | 33.9150% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{113345}{18027009}\) | 0.6288% | \(\frac{4539897}{2860165}\) | 1.587285 | \(\frac{73766023}{114406600}\) | 64.4771% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{5720089}{16343800}\) | 34.9985% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{4539897}{2860165}\) | 1.587285 | \(\frac{73766023}{114406600}\) | 64.4771% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{5720089}{16343800}\) | 34.9985% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{4539897}{2860165}\) | 1.587285 | \(\frac{73766023}{114406600}\) | 64.4771% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{5720089}{16343800}\) | 34.9985% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{89215429}{57203300}\) | 1.559620 | \(\frac{218964239}{343219800}\) | 63.7971% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{122455699}{343219800}\) | 35.6785% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{113345}{18027009}\) | 0.6288% | \(\frac{2484901}{1634380}\) | 1.520394 | \(\frac{71748443}{114406600}\) | 62.7136% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{3823473}{10400600}\) | 36.7620% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{2484901}{1634380}\) | 1.520394 | \(\frac{71748443}{114406600}\) | 62.7136% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{3823473}{10400600}\) | 36.7620% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{2484901}{1634380}\) | 1.520394 | \(\frac{71748443}{114406600}\) | 62.7136% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{3823473}{10400600}\) | 36.7620% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{111470}{18027009}\) | 0.6183% | \(\frac{2484901}{1634380}\) | 1.520394 | \(\frac{71748443}{114406600}\) | 62.7136% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{3823473}{10400600}\) | 36.7620% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{34865}{6009003}\) | 0.5802% | \(\frac{21370464}{14300825}\) | 1.494352 | \(\frac{208234639}{343219800}\) | 60.6709% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{133185299}{343219800}\) | 38.8047% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{39406317}{28601650}\) | 1.377764 | \(\frac{28079797}{49031400}\) | 57.2690% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{144861359}{343219800}\) | 42.2066% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{39406317}{28601650}\) | 1.377764 | \(\frac{28079797}{49031400}\) | 57.2690% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{144861359}{343219800}\) | 42.2066% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{39406317}{28601650}\) | 1.377764 | \(\frac{28079797}{49031400}\) | 57.2690% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{144861359}{343219800}\) | 42.2066% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{34865}{6009003}\) | 0.5802% | \(\frac{3550237}{2487100}\) | 1.427460 | \(\frac{202181899}{343219800}\) | 58.9074% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{139238039}{343219800}\) | 40.5682% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{3828437}{2860165}\) | 1.338537 | \(\frac{17530879}{31201800}\) | 56.1855% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{148580269}{343219800}\) | 43.2901% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{74986229}{57203300}\) | 1.310872 | \(\frac{190505839}{343219800}\) | 55.5055% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{21559157}{49031400}\) | 43.9701% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{74986229}{57203300}\) | 1.310872 | \(\frac{190505839}{343219800}\) | 55.5055% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{21559157}{49031400}\) | 43.9701% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{34865}{6009003}\) | 0.5802% | \(\frac{38914523}{28601650}\) | 1.360569 | \(\frac{196129159}{343219800}\) | 57.1439% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{145290779}{343219800}\) | 42.3317% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{14548467}{11440660}\) | 1.271646 | \(\frac{1404413}{2580600}\) | 54.4220% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{154633009}{343219800}\) | 45.0536% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{14548467}{11440660}\) | 1.271646 | \(\frac{1404413}{2580600}\) | 54.4220% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{154633009}{343219800}\) | 45.0536% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{1046468}{841225}\) | 1.243981 | \(\frac{184453099}{343219800}\) | 53.7420% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{156966839}{343219800}\) | 45.7336% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{34865}{6009003}\) | 0.5802% | \(\frac{74002641}{57203300}\) | 1.293678 | \(\frac{190076419}{343219800}\) | 55.3804% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{6580153}{14922600}\) | 44.0952% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{6891593}{5720330}\) | 1.204754 | \(\frac{180734189}{343219800}\) | 52.6584% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{22955107}{49031400}\) | 46.8172% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{6891593}{5720330}\) | 1.204754 | \(\frac{180734189}{343219800}\) | 52.6584% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{22955107}{49031400}\) | 46.8172% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2480}{462231}\) | 0.5365% | \(\frac{6891593}{5720330}\) | 1.204754 | \(\frac{180734189}{343219800}\) | 52.6584% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{22955107}{49031400}\) | 46.8172% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{3735}{667667}\) | 0.5594% | \(\frac{33587423}{28601650}\) | 1.174318 | \(\frac{174820759}{343219800}\) | 50.9355% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{166599179}{343219800}\) | 48.5401% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{31615}{6009003}\) | 0.5261% | \(\frac{33587423}{28601650}\) | 1.174318 | \(\frac{174820759}{343219800}\) | 50.9355% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{166599179}{343219800}\) | 48.5401% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{15564431}{14300825}\) | 1.088359 | \(\frac{55549633}{114406600}\) | 48.5546% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{58257013}{114406600}\) | 50.9210% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{15564431}{14300825}\) | 1.088359 | \(\frac{55549633}{114406600}\) | 48.5546% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{58257013}{114406600}\) | 50.9210% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{3735}{667667}\) | 0.5594% | \(\frac{63348441}{57203300}\) | 1.107426 | \(\frac{24109717}{49031400}\) | 49.1720% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{15695629}{31201800}\) | 50.3036% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{31615}{6009003}\) | 0.5261% | \(\frac{63348441}{57203300}\) | 1.107426 | \(\frac{24109717}{49031400}\) | 49.1720% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{15695629}{31201800}\) | 50.3036% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{6001383}{5720330}\) | 1.049132 | \(\frac{9584117}{20189400}\) | 47.4710% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{16226359}{31201800}\) | 52.0046% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{58431319}{57203300}\) | 1.021468 | \(\frac{53532053}{114406600}\) | 46.7911% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{3172347}{6021400}\) | 52.6845% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{3735}{667667}\) | 0.5594% | \(\frac{2125787}{2042975}\) | 1.040535 | \(\frac{9571487}{20189400}\) | 47.4085% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{25529237}{49031400}\) | 52.0671% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{31615}{6009003}\) | 0.5261% | \(\frac{2125787}{2042975}\) | 1.040535 | \(\frac{9571487}{20189400}\) | 47.4085% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{25529237}{49031400}\) | 52.0671% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{321071}{326876}\) | 0.982241 | \(\frac{156877249}{343219800}\) | 45.7075% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{184542689}{343219800}\) | 53.7681% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{321071}{326876}\) | 0.982241 | \(\frac{156877249}{343219800}\) | 45.7075% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{184542689}{343219800}\) | 53.7681% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{3735}{667667}\) | 0.5594% | \(\frac{13548734}{14300825}\) | 0.947409 | \(\frac{152061079}{343219800}\) | 44.3043% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{189358859}{343219800}\) | 55.1713% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{31615}{6009003}\) | 0.5261% | \(\frac{13548734}{14300825}\) | 0.947409 | \(\frac{152061079}{343219800}\) | 44.3043% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{189358859}{343219800}\) | 55.1713% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{13548734}{14300825}\) | 0.947409 | \(\frac{152061079}{343219800}\) | 44.3043% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{189358859}{343219800}\) | 55.1713% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{25514957}{28601650}\) | 0.892080 | \(\frac{147393419}{343219800}\) | 42.9443% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{194026519}{343219800}\) | 56.5313% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{3735}{667667}\) | 0.5594% | \(\frac{50368531}{57203300}\) | 0.880518 | \(\frac{146008339}{343219800}\) | 42.5408% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{10284821}{18064200}\) | 56.9348% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{31615}{6009003}\) | 0.5261% | \(\frac{50368531}{57203300}\) | 0.880518 | \(\frac{146008339}{343219800}\) | 42.5408% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{10284821}{18064200}\) | 56.9348% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{50368531}{57203300}\) | 0.880518 | \(\frac{146008339}{343219800}\) | 42.5408% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{10284821}{18064200}\) | 56.9348% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{2439301}{2860165}\) | 0.852853 | \(\frac{4353773}{10400600}\) | 41.8608% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{9416449}{16343800}\) | 57.6148% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{3735}{667667}\) | 0.5594% | \(\frac{23271063}{28601650}\) | 0.813627 | \(\frac{19993657}{49031400}\) | 40.7773% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{201464339}{343219800}\) | 58.6983% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{31615}{6009003}\) | 0.5261% | \(\frac{23271063}{28601650}\) | 0.813627 | \(\frac{19993657}{49031400}\) | 40.7773% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{201464339}{343219800}\) | 58.6983% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{23271063}{28601650}\) | 0.813627 | \(\frac{19993657}{49031400}\) | 40.7773% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{201464339}{343219800}\) | 58.6983% |
| \(\frac{250}{71253}\) | 0.3509% | | \(\frac{2840}{546273}\) | 0.5199% | \(\frac{23271063}{28601650}\) | 0.813627 | \(\frac{19993657}{49031400}\) | 40.7773% | \(\frac{299977}{57203300}\) | 0.5244% | \(\frac{201464339}{343219800}\) | 58.6983% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{15575}{2575287}\) | 0.6048% | \(\frac{4507023844}{3904125225}\) | 1.154426 | \(\frac{1610256863}{2839363800}\) | 56.7119% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{65248150027}{156165009000}\) | 41.7815% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{15575}{2575287}\) | 0.6048% | \(\frac{924793819}{800846200}\) | 1.154771 | \(\frac{53147942879}{93699005400}\) | 56.7220% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{195697118081}{468495027000}\) | 41.7714% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{15575}{2575287}\) | 0.6048% | \(\frac{3607772713}{3123300180}\) | 1.155116 | \(\frac{4089031483}{7207615800}\) | 56.7321% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{195649786081}{468495027000}\) | 41.7613% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{15575}{2575287}\) | 0.6048% | \(\frac{3607772713}{3123300180}\) | 1.155116 | \(\frac{4089031483}{7207615800}\) | 56.7321% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{195649786081}{468495027000}\) | 41.7613% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{15575}{2575287}\) | 0.6048% | \(\frac{36088495319}{31233001800}\) | 1.155460 | \(\frac{5907430631}{10411000600}\) | 56.7422% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{21733606009}{52055003000}\) | 41.7512% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{15575}{2575287}\) | 0.6048% | \(\frac{1698629}{1469650}\) | 1.155805 | \(\frac{47183977}{83140200}\) | 56.7523% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{17777738371}{42590457000}\) | 41.7411% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{34675}{6009003}\) | 0.5771% | \(\frac{36088495319}{31233001800}\) | 1.155460 | \(\frac{5907430631}{10411000600}\) | 56.7422% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{21733606009}{52055003000}\) | 41.7512% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{34675}{6009003}\) | 0.5771% | \(\frac{1698629}{1469650}\) | 1.155805 | \(\frac{47183977}{83140200}\) | 56.7523% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{17777738371}{42590457000}\) | 41.7411% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{34675}{6009003}\) | 0.5771% | \(\frac{36110031697}{31233001800}\) | 1.156150 | \(\frac{53185808479}{93699005400}\) | 56.7624% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{195507790081}{468495027000}\) | 41.7310% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{34675}{6009003}\) | 0.5771% | \(\frac{18060399943}{15616500900}\) | 1.156495 | \(\frac{17731758293}{31233001800}\) | 56.7725% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{9307640861}{22309287000}\) | 41.7209% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{86525}{18027009}\) | 0.4800% | \(\frac{1381823679}{1369868500}\) | 1.008727 | \(\frac{16147698661}{31233001800}\) | 51.7008% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{73073784187}{156165009000}\) | 46.7927% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{86525}{18027009}\) | 0.4800% | \(\frac{22511677193}{22309287000}\) | 1.009072 | \(\frac{48452562383}{93699005400}\) | 51.7109% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{219174020561}{468495027000}\) | 46.7826% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{86525}{18027009}\) | 0.4800% | \(\frac{19704447662}{19520626125}\) | 1.009417 | \(\frac{6923146969}{13385572200}\) | 51.7210% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{19920608051}{42590457000}\) | 46.7725% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{86525}{18027009}\) | 0.4800% | \(\frac{19704447662}{19520626125}\) | 1.009417 | \(\frac{6923146969}{13385572200}\) | 51.7210% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{19920608051}{42590457000}\) | 46.7725% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{86525}{18027009}\) | 0.4800% | \(\frac{4043318519}{4004231000}\) | 1.009762 | \(\frac{5385721687}{10411000600}\) | 51.7311% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{1872473133}{4004231000}\) | 46.7624% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{86525}{18027009}\) | 0.4800% | \(\frac{78871631593}{78082504500}\) | 1.010106 | \(\frac{2551629557}{4931526600}\) | 51.7412% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{31290289223}{66927861000}\) | 46.7523% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{66025}{18027009}\) | 0.3663% | \(\frac{88489632617}{93699005400}\) | 0.944403 | \(\frac{530026988}{1064761425}\) | 49.7789% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{57056239439}{117123756750}\) | 48.7145% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{66025}{18027009}\) | 0.3663% | \(\frac{11065242148}{11712375675}\) | 0.944748 | \(\frac{253542616}{509233725}\) | 49.7890% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{3002337181}{6164408250}\) | 48.7044% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{66025}{18027009}\) | 0.3663% | \(\frac{88554241751}{93699005400}\) | 0.945093 | \(\frac{1944221156}{3904125225}\) | 49.7991% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{19010857813}{39041252250}\) | 48.6943% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{66025}{18027009}\) | 0.3663% | \(\frac{44293273159}{46849502700}\) | 0.945437 | \(\frac{5833846768}{11712375675}\) | 49.8093% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{4386210803}{9009519750}\) | 48.6842% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{1582080167}{1774602375}\) | 0.891512 | \(\frac{74395595693}{156165009000}\) | 47.6391% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{872710789}{1716099000}\) | 50.8543% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{10713607357}{12012693000}\) | 0.891857 | \(\frac{223234119079}{468495027000}\) | 47.6492% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{21654792127}{42590457000}\) | 50.8442% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{23221789431}{26027501500}\) | 0.892202 | \(\frac{223281451079}{468495027000}\) | 47.6593% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{238155381397}{468495027000}\) | 50.8341% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{2573468969}{3082204125}\) | 0.834944 | \(\frac{512859307}{1115464350}\) | 45.9772% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{788576678}{1501586625}\) | 52.5162% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{391328806123}{468495027000}\) | 0.835289 | \(\frac{10772412047}{23424751350}\) | 45.9873% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{30748573942}{58561878375}\) | 52.5061% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{195745164479}{234247513500}\) | 0.835634 | \(\frac{567093613}{1232881650}\) | 45.9974% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{4391808206}{8365982625}\) | 52.4960% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{17045271461}{20369349000}\) | 0.836810 | \(\frac{126873953}{275585310}\) | 46.0380% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{56992373}{108649125}\) | 52.4554% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{28014483317}{33463930500}\) | 0.837155 | \(\frac{2157330521}{4684950270}\) | 46.0481% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{30712972547}{58561878375}\) | 52.4453% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{1877341097}{2241603000}\) | 0.837499 | \(\frac{719267947}{1561650090}\) | 46.0582% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{10235685349}{19520626125}\) | 52.4352% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{5275}{1638819}\) | 0.3219% | \(\frac{36639344579}{46849502700}\) | 0.782065 | \(\frac{41635605469}{93699005400}\) | 44.4355% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{11011252397}{20369349000}\) | 54.0579% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{62138727923}{78082504500}\) | 0.795809 | \(\frac{4068967453}{9186177000}\) | 44.2945% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{84639830791}{156165009000}\) | 54.1990% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{348384459523}{468495027000}\) | 0.743625 | \(\frac{3578975509}{8365982625}\) | 42.7801% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{65253550993}{117123756750}\) | 55.7133% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{1082440939}{1454953500}\) | 0.743969 | \(\frac{253118637}{591534125}\) | 42.7902% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{7249079777}{13013750750}\) | 55.7032% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{87266530987}{117123756750}\) | 0.745080 | \(\frac{33440556839}{78082504500}\) | 42.8272% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{171800719}{308626500}\) | 55.6662% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{349227646783}{468495027000}\) | 0.745424 | \(\frac{100345336517}{234247513500}\) | 42.8373% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{130373079721}{234247513500}\) | 55.6561% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{162322094479}{234247513500}\) | 0.692951 | \(\frac{12903385211}{31233001800}\) | 41.3133% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{89295351437}{156165009000}\) | 57.1801% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{267333907}{357903000}\) | 0.746945 | \(\frac{1304728261}{3042175500}\) | 42.8880% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{130254340141}{234247513500}\) | 55.6054% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{175050803549}{234247513500}\) | 0.747290 | \(\frac{100487742097}{234247513500}\) | 42.8981% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{130230674141}{234247513500}\) | 55.5953% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{325518149273}{468495027000}\) | 0.694817 | \(\frac{1107631939}{2677114440}\) | 41.3741% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{24327385741}{42590457000}\) | 57.1193% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{5275}{1638819}\) | 0.3219% | \(\frac{3705275726}{5323807125}\) | 0.695982 | \(\frac{38802223717}{93699005400}\) | 41.4116% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{38203673413}{66927861000}\) | 57.0819% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{155416400219}{234247513500}\) | 0.663471 | \(\frac{6685288201}{16731965250}\) | 39.9552% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{34281095356}{58561878375}\) | 58.5382% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{311322168973}{468495027000}\) | 0.664515 | \(\frac{23418085441}{58561878375}\) | 39.9886% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{68523037237}{117123756750}\) | 58.5048% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{143273207629}{234247513500}\) | 0.611632 | \(\frac{180140690029}{468495027000}\) | 38.4509% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{281296142447}{468495027000}\) | 60.0425% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{156001916699}{234247513500}\) | 0.665970 | \(\frac{10420299781}{26027501500}\) | 40.0357% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{15215079801}{26027501500}\) | 58.4577% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{287228079683}{468495027000}\) | 0.613087 | \(\frac{13873954043}{36038079000}\) | 38.4980% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{281075429917}{468495027000}\) | 59.9954% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{5135391043}{8365982625}\) | 0.613842 | \(\frac{1822957911}{4732273000}\) | 38.5218% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{31218222143}{52055003000}\) | 59.9716% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{312877793713}{468495027000}\) | 0.667836 | \(\frac{93925103609}{234247513500}\) | 40.0965% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{136793312629}{234247513500}\) | 58.3969% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{144051019999}{234247513500}\) | 0.614952 | \(\frac{60215404573}{156165009000}\) | 38.5588% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{500518037}{835107000}\) | 59.9346% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{288455858723}{468495027000}\) | 0.615707 | \(\frac{180757644349}{468495027000}\) | 38.5826% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{21590706779}{36038079000}\) | 59.9108% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{5275}{1638819}\) | 0.3219% | \(\frac{11115460513}{18019039500}\) | 0.616873 | \(\frac{9522798611}{24657633000}\) | 38.6201% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{280503658867}{468495027000}\) | 59.8733% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{124416616669}{234247513500}\) | 0.531133 | \(\frac{166858799153}{468495027000}\) | 35.6159% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{2214872431}{3522519000}\) | 62.8775% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{249322601873}{468495027000}\) | 0.532178 | \(\frac{18557268117}{52055003000}\) | 35.6493% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{32713491047}{52055003000}\) | 62.8441% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{6175}{1386693}\) | 0.4453% | \(\frac{685395947}{1287074250}\) | 0.532522 | \(\frac{7263597611}{20369349000}\) | 35.6594% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{22644160571}{36038079000}\) | 62.8340% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{125002133149}{234247513500}\) | 0.533633 | \(\frac{167236125583}{468495027000}\) | 35.6965% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{294200706893}{468495027000}\) | 62.7970% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{19243522241}{36038079000}\) | 0.533977 | \(\frac{15207587053}{42590457000}\) | 35.7066% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{42021910699}{66927861000}\) | 62.7869% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{76525}{18027009}\) | 0.4245% | \(\frac{9635369533}{18019039500}\) | 0.534733 | \(\frac{7971185153}{22309287000}\) | 35.7303% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{98013981421}{156165009000}\) | 62.7631% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{35839746659}{66927861000}\) | 0.535498 | \(\frac{167520936743}{468495027000}\) | 35.7572% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{293915895733}{468495027000}\) | 62.7362% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{1651577299}{3082204125}\) | 0.535843 | \(\frac{18618696527}{52055003000}\) | 35.7674% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{32652062637}{52055003000}\) | 62.7261% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{61025}{18027009}\) | 0.3385% | \(\frac{22853960743}{42590457000}\) | 0.536598 | \(\frac{167679699373}{468495027000}\) | 35.7911% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{2468547337}{3936933000}\) | 62.7023% |
| \(\frac{625}{71253}\) | 0.8772% | | \(\frac{5275}{1638819}\) | 0.3219% | \(\frac{62984920697}{117123756750}\) | 0.537764 | \(\frac{167855228633}{468495027000}\) | 35.8286% | \(\frac{196060959}{13013750750}\) | 1.5066% | \(\frac{26689236713}{42590457000}\) | 62.6648% |
| \(\frac{3125}{142506}\) | 2.1929% | | \(\frac{2000}{621621}\) | 0.3217% | \(\frac{2959720292}{19520626125}\) | 0.151620 | \(\frac{40210768783}{117123756750}\) | 34.3319% | \(\frac{26072572}{1301375075}\) | 2.0035% | \(\frac{74566456487}{117123756750}\) | 63.6647% |
| \(\frac{3125}{142506}\) | 2.1929% | | \(\frac{2000}{621621}\) | 0.3217% | \(\frac{1287245108}{8365982625}\) | 0.153867 | \(\frac{40319730833}{117123756750}\) | 34.4249% | \(\frac{26072572}{1301375075}\) | 2.0035% | \(\frac{74457494437}{117123756750}\) | 63.5716% |
| \(\frac{3125}{142506}\) | 2.1929% | | \(\frac{2000}{621621}\) | 0.3217% | \(\frac{9142270636}{58561878375}\) | 0.156113 | \(\frac{4492076987}{13013750750}\) | 34.5179% | \(\frac{26072572}{1301375075}\) | 2.0035% | \(\frac{8260948043}{13013750750}\) | 63.4786% |
| \(\frac{3125}{142506}\) | 2.1929% | | \(\frac{2000}{621621}\) | 0.3217% | \(\frac{3094621372}{19520626125}\) | 0.158531 | \(\frac{5792049619}{16731965250}\) | 34.6167% | \(\frac{26072572}{1301375075}\) | 2.0035% | \(\frac{74232877937}{117123756750}\) | 63.3799% |
| \(\frac{3125}{142506}\) | 2.1929% | | \(\frac{16000}{6009003}\) | 0.2663% | \(\frac{9445534796}{58561878375}\) | 0.161292 | \(\frac{2140704557}{6164408250}\) | 34.7268% | \(\frac{26072572}{1301375075}\) | 2.0035% | \(\frac{74103838687}{117123756750}\) | 63.2697% |
| \(\frac{3125}{142506}\) | 2.1929% | | \(\frac{8000}{18027009}\) | 0.0444% | \(\frac{3818310866}{58561878375}\) | 0.065201 | \(\frac{2629904542}{8365982625}\) | 31.4357% | \(\frac{26072572}{1301375075}\) | 2.0035% | \(\frac{2292898873}{3444816375}\) | 66.5608% |