@@ -2,9 +2,9 @@ |
||
| 2 | 2 | |
| 3 | 3 | namespace Samsara\Fermat\Values; |
| 4 | 4 | |
| 5 | -use Samsara\Fermat\Numbers; |
|
| 6 | -use Samsara\Fermat\Types\Number; |
|
| 7 | -use Samsara\Fermat\Types\Base\DecimalInterface; |
|
| 5 | +use Samsara\Fermat\Numbers; |
|
| 6 | +use Samsara\Fermat\Types\Number; |
|
| 7 | +use Samsara\Fermat\Types\Base\DecimalInterface; |
|
| 8 | 8 | use Samsara\Fermat\Types\Base\NumberInterface; |
| 9 | 9 | |
| 10 | 10 | class ImmutableNumber extends Number implements NumberInterface, DecimalInterface |
@@ -10,6 +10,9 @@ |
||
| 10 | 10 | class ImmutableNumber extends Number implements NumberInterface, DecimalInterface |
| 11 | 11 | {
|
| 12 | 12 | |
| 13 | + /** |
|
| 14 | + * @param ImmutableNumber $mod |
|
| 15 | + */ |
|
| 13 | 16 | public function modulo($mod) |
| 14 | 17 | {
|
| 15 | 18 | $oldBase = $this->convertForModification(); |
@@ -2,9 +2,9 @@ |
||
| 2 | 2 | |
| 3 | 3 | namespace Samsara\Fermat\Values; |
| 4 | 4 | |
| 5 | -use Samsara\Fermat\Types\Number; |
|
| 6 | -use Samsara\Fermat\Types\Base\DecimalInterface; |
|
| 7 | -use Samsara\Fermat\Types\Base\NumberInterface; |
|
| 5 | +use Samsara\Fermat\Types\Number; |
|
| 6 | +use Samsara\Fermat\Types\Base\DecimalInterface; |
|
| 7 | +use Samsara\Fermat\Types\Base\NumberInterface; |
|
| 8 | 8 | use Samsara\Fermat\Numbers; |
| 9 | 9 | |
| 10 | 10 | class MutableNumber extends Number implements NumberInterface, DecimalInterface |
@@ -2,8 +2,8 @@ |
||
| 2 | 2 | |
| 3 | 3 | namespace Samsara\Fermat\Types; |
| 4 | 4 | |
| 5 | -use Samsara\Exceptions\SystemError\LogicalError\IncompatibleObjectState; |
|
| 6 | -use Samsara\Fermat\Numbers; |
|
| 5 | +use Samsara\Exceptions\SystemError\LogicalError\IncompatibleObjectState; |
|
| 6 | +use Samsara\Fermat\Numbers; |
|
| 7 | 7 | use Samsara\Fermat\Values\ImmutableNumber; |
| 8 | 8 | |
| 9 | 9 | class Tuple |
@@ -131,7 +131,7 @@ discard block |
||
| 131 | 131 | * Note about precision: it uses the smaller of the two precisions (significant figures). |
| 132 | 132 | * |
| 133 | 133 | * @param $num |
| 134 | - * @param $precision |
|
| 134 | + * @param integer $precision |
|
| 135 | 135 | * @return DecimalInterface|NumberInterface |
| 136 | 136 | */ |
| 137 | 137 | public function divide($num, $precision = null) |
@@ -544,6 +544,9 @@ discard block |
||
| 544 | 544 | |
| 545 | 545 | } |
| 546 | 546 | |
| 547 | + /** |
|
| 548 | + * @param ImmutableNumber $num |
|
| 549 | + */ |
|
| 547 | 550 | public function getGreatestCommonDivisor($num) |
| 548 | 551 | {
|
| 549 | 552 | /** @var ImmutableNumber $num */ |
@@ -938,6 +941,10 @@ discard block |
||
| 938 | 941 | return strpos($this->value, '.'); |
| 939 | 942 | } |
| 940 | 943 | |
| 944 | + /** |
|
| 945 | + * @param integer $pos |
|
| 946 | + * @param integer $add |
|
| 947 | + */ |
|
| 941 | 948 | protected function reduceDecimals(array $decimalArray, $pos, $add) |
| 942 | 949 | {
|
| 943 | 950 | |
@@ -987,9 +994,9 @@ discard block |
||
| 987 | 994 | abstract public function modulo($mod); |
| 988 | 995 | |
| 989 | 996 | /** |
| 990 | - * @param $mod |
|
| 997 | + * @param NumberInterface $mod |
|
| 991 | 998 | * |
| 992 | - * @return NumberInterface|DecimalInterface |
|
| 999 | + * @return NumberInterface |
|
| 993 | 1000 | */ |
| 994 | 1001 | abstract public function continuousModulo($mod); |
| 995 | 1002 | |
@@ -32,7 +32,7 @@ discard block |
||
| 32 | 32 | public function __construct($value, $precision = 10, $base = 10) |
| 33 | 33 | {
|
| 34 | 34 | $this->base = $base; |
| 35 | - $this->value = (string)$value; |
|
| 35 | + $this->value = (string) $value; |
|
| 36 | 36 | |
| 37 | 37 | if (!is_null($precision)) {
|
| 38 | 38 | if ($precision > 100) {
|
@@ -191,7 +191,7 @@ discard block |
||
| 191 | 191 | $curVal = $this->getValue(); |
| 192 | 192 | $calcVal = Numbers::make(Numbers::IMMUTABLE, 1); |
| 193 | 193 | |
| 194 | - for ($i = 1;$i <= $curVal;$i++) {
|
|
| 194 | + for ($i = 1; $i <= $curVal; $i++) {
|
|
| 195 | 195 | $calcVal = $calcVal->multiply($i); |
| 196 | 196 | } |
| 197 | 197 | |
@@ -407,15 +407,15 @@ discard block |
||
| 407 | 407 | |
| 408 | 408 | $answer = SeriesProvider::maclaurinSeries( |
| 409 | 409 | $modulo, |
| 410 | - function ($n) {
|
|
| 410 | + function($n) {
|
|
| 411 | 411 | $negOne = Numbers::make(Numbers::IMMUTABLE, -1, 100); |
| 412 | 412 | |
| 413 | 413 | return $negOne->pow($n); |
| 414 | 414 | }, |
| 415 | - function ($n) {
|
|
| 415 | + function($n) {
|
|
| 416 | 416 | return SequenceProvider::nthOddNumber($n); |
| 417 | 417 | }, |
| 418 | - function ($n) {
|
|
| 418 | + function($n) {
|
|
| 419 | 419 | return SequenceProvider::nthOddNumber($n)->factorial(); |
| 420 | 420 | }, |
| 421 | 421 | 0, |
@@ -449,13 +449,13 @@ discard block |
||
| 449 | 449 | |
| 450 | 450 | $answer = SeriesProvider::maclaurinSeries( |
| 451 | 451 | $modulo, |
| 452 | - function ($n) {
|
|
| 452 | + function($n) {
|
|
| 453 | 453 | return SequenceProvider::nthPowerNegativeOne($n); |
| 454 | 454 | }, |
| 455 | - function ($n) {
|
|
| 455 | + function($n) {
|
|
| 456 | 456 | return SequenceProvider::nthEvenNumber($n); |
| 457 | 457 | }, |
| 458 | - function ($n) {
|
|
| 458 | + function($n) {
|
|
| 459 | 459 | return SequenceProvider::nthEvenNumber($n)->factorial(); |
| 460 | 460 | }, |
| 461 | 461 | 0, |
@@ -540,20 +540,20 @@ discard block |
||
| 540 | 540 | } else {
|
| 541 | 541 | $answer = SeriesProvider::maclaurinSeries( |
| 542 | 542 | $modulo, |
| 543 | - function ($n) {
|
|
| 543 | + function($n) {
|
|
| 544 | 544 | $nthOddNumber = SequenceProvider::nthOddNumber($n); |
| 545 | 545 | |
| 546 | 546 | return SequenceProvider::nthEulerZigzag($nthOddNumber); |
| 547 | 547 | }, |
| 548 | - function ($n) {
|
|
| 548 | + function($n) {
|
|
| 549 | 549 | |
| 550 | 550 | return SequenceProvider::nthOddNumber($n); |
| 551 | 551 | }, |
| 552 | - function ($n) {
|
|
| 552 | + function($n) {
|
|
| 553 | 553 | return SequenceProvider::nthOddNumber($n)->factorial(); |
| 554 | 554 | }, |
| 555 | 555 | 0, |
| 556 | - $precision + 1 |
|
| 556 | + $precision+1 |
|
| 557 | 557 | ); |
| 558 | 558 | } |
| 559 | 559 | |
@@ -592,7 +592,7 @@ discard block |
||
| 592 | 592 | |
| 593 | 593 | if ($mod2Pi->isEqual(0)) {
|
| 594 | 594 | return $this->setValue(static::INFINITY); |
| 595 | - } elseif($modPi->isEqual(0)) {
|
|
| 595 | + } elseif ($modPi->isEqual(0)) {
|
|
| 596 | 596 | return $this->setValue(static::NEG_INFINITY); |
| 597 | 597 | } |
| 598 | 598 | |
@@ -1190,7 +1190,7 @@ discard block |
||
| 1190 | 1190 | |
| 1191 | 1191 | $rounded = $whole.'.'; |
| 1192 | 1192 | |
| 1193 | - for ($i = 0;$i < $decimals;$i++) {
|
|
| 1193 | + for ($i = 0; $i < $decimals; $i++) {
|
|
| 1194 | 1194 | $rounded .= $fractionalArr[$i]; |
| 1195 | 1195 | } |
| 1196 | 1196 | |
@@ -2,17 +2,17 @@ |
||
| 2 | 2 | |
| 3 | 3 | namespace Samsara\Fermat\Types; |
| 4 | 4 | |
| 5 | -use Ds\Hashable; |
|
| 6 | -use Samsara\Exceptions\SystemError\LogicalError\IncompatibleObjectState; |
|
| 7 | -use Samsara\Exceptions\UsageError\IntegrityConstraint; |
|
| 8 | -use Samsara\Fermat\Numbers; |
|
| 9 | -use Samsara\Fermat\Provider\ArithmeticProvider; |
|
| 10 | -use Riimu\Kit\BaseConversion\BaseConverter; |
|
| 11 | -use Samsara\Fermat\Provider\SequenceProvider; |
|
| 12 | -use Samsara\Fermat\Provider\SeriesProvider; |
|
| 13 | -use Samsara\Fermat\Provider\StatsProvider; |
|
| 14 | -use Samsara\Fermat\Types\Base\DecimalInterface; |
|
| 15 | -use Samsara\Fermat\Types\Base\NumberInterface; |
|
| 5 | +use Ds\Hashable; |
|
| 6 | +use Samsara\Exceptions\SystemError\LogicalError\IncompatibleObjectState; |
|
| 7 | +use Samsara\Exceptions\UsageError\IntegrityConstraint; |
|
| 8 | +use Samsara\Fermat\Numbers; |
|
| 9 | +use Samsara\Fermat\Provider\ArithmeticProvider; |
|
| 10 | +use Riimu\Kit\BaseConversion\BaseConverter; |
|
| 11 | +use Samsara\Fermat\Provider\SequenceProvider; |
|
| 12 | +use Samsara\Fermat\Provider\SeriesProvider; |
|
| 13 | +use Samsara\Fermat\Provider\StatsProvider; |
|
| 14 | +use Samsara\Fermat\Types\Base\DecimalInterface; |
|
| 15 | +use Samsara\Fermat\Types\Base\NumberInterface; |
|
| 16 | 16 | use Samsara\Fermat\Values\ImmutableNumber; |
| 17 | 17 | |
| 18 | 18 | abstract class Number implements Hashable |
@@ -178,7 +178,7 @@ |
||
| 178 | 178 | } |
| 179 | 179 | |
| 180 | 180 | /** |
| 181 | - * @param int|float|DecimalInterface $min |
|
| 181 | + * @param integer $min |
|
| 182 | 182 | * @param int|float|DecimalInterface $max |
| 183 | 183 | * @param int $maxIterations |
| 184 | 184 | * |
@@ -168,7 +168,7 @@ |
||
| 168 | 168 | $randFactory = new Factory(); |
| 169 | 169 | $generator = $randFactory->getMediumStrengthGenerator(); |
| 170 | 170 | $one = Numbers::makeOne(); |
| 171 | - $u = $generator->generateInt() / PHP_INT_MAX; |
|
| 171 | + $u = $generator->generateInt()/PHP_INT_MAX; |
|
| 172 | 172 | |
| 173 | 173 | /** @var ImmutableNumber $random */ |
| 174 | 174 | $random = $one->subtract($u)->ln()->divide($this->lambda->multiply(-1)); |
@@ -163,7 +163,7 @@ |
||
| 163 | 163 | * WARNING: This function is of very limited use with Poisson distributions, and may represent a SIGNIFICANT |
| 164 | 164 | * performance hit for certain values of $min, $max, $lambda, and $maxIterations |
| 165 | 165 | * |
| 166 | - * @param int|float|NumberInterface $min |
|
| 166 | + * @param integer $min |
|
| 167 | 167 | * @param int|float|NumberInterface $max |
| 168 | 168 | * @param int $maxIterations |
| 169 | 169 | * |
@@ -2,12 +2,12 @@ |
||
| 2 | 2 | |
| 3 | 3 | namespace Samsara\Fermat\Provider\Distribution; |
| 4 | 4 | |
| 5 | -use RandomLib\Factory; |
|
| 6 | -use Samsara\Exceptions\UsageError\OptionalExit; |
|
| 7 | -use Samsara\Fermat\Numbers; |
|
| 8 | -use Samsara\Fermat\Provider\StatsProvider; |
|
| 9 | -use Samsara\Fermat\Types\Base\DecimalInterface; |
|
| 10 | -use Samsara\Fermat\Types\Base\NumberInterface; |
|
| 5 | +use RandomLib\Factory; |
|
| 6 | +use Samsara\Exceptions\UsageError\OptionalExit; |
|
| 7 | +use Samsara\Fermat\Numbers; |
|
| 8 | +use Samsara\Fermat\Provider\StatsProvider; |
|
| 9 | +use Samsara\Fermat\Types\Base\DecimalInterface; |
|
| 10 | +use Samsara\Fermat\Types\Base\NumberInterface; |
|
| 11 | 11 | use Samsara\Fermat\Values\ImmutableNumber; |
| 12 | 12 | |
| 13 | 13 | class Normal |
@@ -163,7 +163,7 @@ |
||
| 163 | 163 | * WARNING: This function is of very limited use with Poisson distributions, and may represent a SIGNIFICANT |
| 164 | 164 | * performance hit for certain values of $min, $max, $lambda, and $maxIterations |
| 165 | 165 | * |
| 166 | - * @param int|float|NumberInterface $min |
|
| 166 | + * @param integer $min |
|
| 167 | 167 | * @param int|float|NumberInterface $max |
| 168 | 168 | * @param int $maxIterations |
| 169 | 169 | * |
@@ -63,7 +63,7 @@ discard block |
||
| 63 | 63 | |
| 64 | 64 | $cumulative = Numbers::makeZero(); |
| 65 | 65 | |
| 66 | - for ($i = 0;$x->isGreaterThanOrEqualTo($i);$i++) {
|
|
| 66 | + for ($i = 0; $x->isGreaterThanOrEqualTo($i); $i++) {
|
|
| 67 | 67 | $cumulative = $cumulative->add($this->pmf($i)); |
| 68 | 68 | } |
| 69 | 69 | |
@@ -133,7 +133,7 @@ discard block |
||
| 133 | 133 | |
| 134 | 134 | $cumulative = Numbers::makeZero(); |
| 135 | 135 | |
| 136 | - for (;$larger->isGreaterThanOrEqualTo($smaller);$smaller->add(1)) {
|
|
| 136 | + for (;$larger->isGreaterThanOrEqualTo($smaller); $smaller->add(1)) {
|
|
| 137 | 137 | $cumulative = $cumulative->add($this->pmf($smaller)); |
| 138 | 138 | } |
| 139 | 139 | |
@@ -218,7 +218,7 @@ discard block |
||
| 218 | 218 | |
| 219 | 219 | while (true) {
|
| 220 | 220 | /** @var ImmutableNumber $u */ |
| 221 | - $u = $generator->generateInt() / PHP_INT_MAX; |
|
| 221 | + $u = $generator->generateInt()/PHP_INT_MAX; |
|
| 222 | 222 | /** @var ImmutableNumber $x */ |
| 223 | 223 | $x = $alpha->subtract($one->subtract($u)->divide($u)->ln(20)->divide($beta)); |
| 224 | 224 | /** @var ImmutableNumber $n */ |
@@ -229,7 +229,7 @@ discard block |
||
| 229 | 229 | } |
| 230 | 230 | |
| 231 | 231 | /** @var ImmutableNumber $v */ |
| 232 | - $v = $generator->generateInt() / PHP_INT_MAX; |
|
| 232 | + $v = $generator->generateInt()/PHP_INT_MAX; |
|
| 233 | 233 | /** @var ImmutableNumber $y */ |
| 234 | 234 | $y = $alpha->subtract($beta->multiply($x)); |
| 235 | 235 | /** @var ImmutableNumber $lhs */ |
@@ -270,7 +270,7 @@ discard block |
||
| 270 | 270 | do {
|
| 271 | 271 | $k = $k->add(1); |
| 272 | 272 | /** @var ImmutableNumber $u */ |
| 273 | - $u = $randFactory->getMediumStrengthGenerator()->generateInt() / PHP_INT_MAX; |
|
| 273 | + $u = $randFactory->getMediumStrengthGenerator()->generateInt()/PHP_INT_MAX; |
|
| 274 | 274 | $p = $p->multiply($u); |
| 275 | 275 | } while ($p->isGreaterThan($L)); |
| 276 | 276 | |
@@ -2,12 +2,12 @@ |
||
| 2 | 2 | |
| 3 | 3 | namespace Samsara\Fermat\Provider\Distribution; |
| 4 | 4 | |
| 5 | -use RandomLib\Factory; |
|
| 6 | -use Samsara\Exceptions\UsageError\IntegrityConstraint; |
|
| 7 | -use Samsara\Exceptions\UsageError\OptionalExit; |
|
| 8 | -use Samsara\Fermat\Numbers; |
|
| 9 | -use Samsara\Fermat\Types\Base\DecimalInterface; |
|
| 10 | -use Samsara\Fermat\Types\Base\NumberInterface; |
|
| 5 | +use RandomLib\Factory; |
|
| 6 | +use Samsara\Exceptions\UsageError\IntegrityConstraint; |
|
| 7 | +use Samsara\Exceptions\UsageError\OptionalExit; |
|
| 8 | +use Samsara\Fermat\Numbers; |
|
| 9 | +use Samsara\Fermat\Types\Base\DecimalInterface; |
|
| 10 | +use Samsara\Fermat\Types\Base\NumberInterface; |
|
| 11 | 11 | use Samsara\Fermat\Values\ImmutableNumber; |
| 12 | 12 | |
| 13 | 13 | class Poisson |
@@ -32,13 +32,13 @@ discard block |
||
| 32 | 32 | ->multiply($e->pow($eExponent)) |
| 33 | 33 | ->multiply(SeriesProvider::maclaurinSeries( |
| 34 | 34 | $x, |
| 35 | - function ($n) { |
|
| 35 | + function($n) { |
|
| 36 | 36 | return Numbers::makeOne(); |
| 37 | 37 | }, |
| 38 | - function ($n) { |
|
| 38 | + function($n) { |
|
| 39 | 39 | return SequenceProvider::nthOddNumber($n); |
| 40 | 40 | }, |
| 41 | - function ($n) { |
|
| 41 | + function($n) { |
|
| 42 | 42 | return SequenceProvider::nthOddNumber($n)->doubleFactorial(); |
| 43 | 43 | } |
| 44 | 44 | )) |
@@ -68,15 +68,15 @@ discard block |
||
| 68 | 68 | $answer = $answer->multiply( |
| 69 | 69 | SeriesProvider::maclaurinSeries( |
| 70 | 70 | $x, |
| 71 | - function ($n) { |
|
| 71 | + function($n) { |
|
| 72 | 72 | $negOne = Numbers::make(Numbers::IMMUTABLE, -1); |
| 73 | 73 | |
| 74 | 74 | return $negOne->pow($n); |
| 75 | 75 | }, |
| 76 | - function ($n) { |
|
| 76 | + function($n) { |
|
| 77 | 77 | return SequenceProvider::nthOddNumber($n); |
| 78 | 78 | }, |
| 79 | - function ($n) { |
|
| 79 | + function($n) { |
|
| 80 | 80 | $n = Numbers::makeOrDont(Numbers::IMMUTABLE, $n); |
| 81 | 81 | |
| 82 | 82 | return $n->factorial()->multiply(SequenceProvider::nthOddNumber($n)); |
@@ -11,57 +11,57 @@ |
||
| 11 | 11 | { |
| 12 | 12 | |
| 13 | 13 | const EULER_ZIGZAG = [ |
| 14 | - '1', // 0 |
|
| 15 | - '1', // 1 |
|
| 16 | - '1', // 2 |
|
| 17 | - '2', // 3 |
|
| 18 | - '5', // 4 |
|
| 19 | - '16', // 5 |
|
| 20 | - '61', // 6 |
|
| 21 | - '272', // 7 |
|
| 22 | - '1385', // 8 |
|
| 23 | - '7936', // 9 |
|
| 24 | - '50521', // 10 |
|
| 25 | - '353792', // 11 |
|
| 26 | - '2702765', // 12 |
|
| 27 | - '22368256', // 13 |
|
| 28 | - '199360981', // 14 |
|
| 29 | - '1903757312', // 15 |
|
| 30 | - '19391512145', // 16 |
|
| 31 | - '209865342976', // 17 |
|
| 32 | - '2404879675441', // 18 |
|
| 33 | - '29088885112832', // 19 |
|
| 34 | - '370371188237525', // 20 |
|
| 35 | - '4951498053124096', // 21 |
|
| 36 | - '69348874393137901', // 22 |
|
| 37 | - '1015423886506852352', // 23 |
|
| 38 | - '15514534163557086905', // 24 |
|
| 39 | - '246921480190207983616', // 25 |
|
| 40 | - '4087072509293123892361', // 26 |
|
| 41 | - '70251601603943959887872', // 27 |
|
| 42 | - '1252259641403629865468285', // 28 |
|
| 43 | - '23119184187809597841473536', // 29 |
|
| 44 | - '441543893249023104553682821', // 30 |
|
| 45 | - '8713962757125169296170811392', // 31 |
|
| 46 | - '177519391579539289436664789665', // 32 |
|
| 47 | - '3729407703720529571097509625856', // 33 |
|
| 48 | - '80723299235887898062168247453281', // 34 |
|
| 49 | - '1798651693450888780071750349094912', // 35 |
|
| 50 | - '41222060339517702122347079671259045', // 36 |
|
| 51 | - '970982810785059112379399707952152576', // 37 |
|
| 52 | - '23489580527043108252017828576198947741', // 38 |
|
| 53 | - '583203324917310043943191641625494290432', // 39 |
|
| 54 | - '14851150718114980017877156781405826684425', // 40 |
|
| 55 | - '387635983772083031828014624002175135645696', // 41 |
|
| 56 | - '10364622733519612119397957304745185976310201', // 42 |
|
| 57 | - '283727921907431909304183316295787837183229952', // 43 |
|
| 58 | - '7947579422597592703608040510088070619519273805', // 44 |
|
| 59 | - '227681379129930886488600284336316164603920777216', // 45 |
|
| 60 | - '6667537516685544977435028474773748197524107684661', // 46 |
|
| 61 | - '199500252157859031027160499643195658166340757225472', // 47 |
|
| 62 | - '6096278645568542158691685742876843153976539044435185', // 48 |
|
| 63 | - '190169564657928428175235445073924928592047775873499136', // 49 |
|
| 64 | - '6053285248188621896314383785111649088103498225146815121', // 50 |
|
| 14 | + '1', // 0 |
|
| 15 | + '1', // 1 |
|
| 16 | + '1', // 2 |
|
| 17 | + '2', // 3 |
|
| 18 | + '5', // 4 |
|
| 19 | + '16', // 5 |
|
| 20 | + '61', // 6 |
|
| 21 | + '272', // 7 |
|
| 22 | + '1385', // 8 |
|
| 23 | + '7936', // 9 |
|
| 24 | + '50521', // 10 |
|
| 25 | + '353792', // 11 |
|
| 26 | + '2702765', // 12 |
|
| 27 | + '22368256', // 13 |
|
| 28 | + '199360981', // 14 |
|
| 29 | + '1903757312', // 15 |
|
| 30 | + '19391512145', // 16 |
|
| 31 | + '209865342976', // 17 |
|
| 32 | + '2404879675441', // 18 |
|
| 33 | + '29088885112832', // 19 |
|
| 34 | + '370371188237525', // 20 |
|
| 35 | + '4951498053124096', // 21 |
|
| 36 | + '69348874393137901', // 22 |
|
| 37 | + '1015423886506852352', // 23 |
|
| 38 | + '15514534163557086905', // 24 |
|
| 39 | + '246921480190207983616', // 25 |
|
| 40 | + '4087072509293123892361', // 26 |
|
| 41 | + '70251601603943959887872', // 27 |
|
| 42 | + '1252259641403629865468285', // 28 |
|
| 43 | + '23119184187809597841473536', // 29 |
|
| 44 | + '441543893249023104553682821', // 30 |
|
| 45 | + '8713962757125169296170811392', // 31 |
|
| 46 | + '177519391579539289436664789665', // 32 |
|
| 47 | + '3729407703720529571097509625856', // 33 |
|
| 48 | + '80723299235887898062168247453281', // 34 |
|
| 49 | + '1798651693450888780071750349094912', // 35 |
|
| 50 | + '41222060339517702122347079671259045', // 36 |
|
| 51 | + '970982810785059112379399707952152576', // 37 |
|
| 52 | + '23489580527043108252017828576198947741', // 38 |
|
| 53 | + '583203324917310043943191641625494290432', // 39 |
|
| 54 | + '14851150718114980017877156781405826684425', // 40 |
|
| 55 | + '387635983772083031828014624002175135645696', // 41 |
|
| 56 | + '10364622733519612119397957304745185976310201', // 42 |
|
| 57 | + '283727921907431909304183316295787837183229952', // 43 |
|
| 58 | + '7947579422597592703608040510088070619519273805', // 44 |
|
| 59 | + '227681379129930886488600284336316164603920777216', // 45 |
|
| 60 | + '6667537516685544977435028474773748197524107684661', // 46 |
|
| 61 | + '199500252157859031027160499643195658166340757225472', // 47 |
|
| 62 | + '6096278645568542158691685742876843153976539044435185', // 48 |
|
| 63 | + '190169564657928428175235445073924928592047775873499136', // 49 |
|
| 64 | + '6053285248188621896314383785111649088103498225146815121', // 50 |
|
| 65 | 65 | ]; |
| 66 | 66 | |
| 67 | 67 | /** |