Created
November 3, 2018 00:07
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<?php | |
function dont_give_me_five(int $start, int $end): int | |
{ | |
$start_multiple = $start < 0 ? -1 : 1; | |
$end_multiple = $end < 0 ? -1 : 1; | |
$zero_value = (int)( | |
$start_multiple !== $end_multiple | |
|| false === strpos((string)min(abs($start), abs($end)), '5') | |
); | |
if ($start == $end) { | |
return $zero_value; | |
} | |
return ( | |
abs( | |
five_0_to_num(abs($start)) * $start_multiple | |
- five_0_to_num(abs($end)) * $end_multiple | |
) | |
+ $zero_value | |
); | |
} | |
function five_0_to_num(int $value): int | |
{ | |
assert($value >= 0, 'Optimization: abs first'); | |
if (!$value) { | |
return 0; | |
} | |
$string = (string)$value; | |
if ($string[0] == 5) { | |
$string = '4' . str_repeat('9', strlen($string) - 1); | |
$value = (int)$string; | |
} | |
$last = ($string[0] - ($string[0] > 4 ? 1 : 0)) * pow(9, strlen($string) - 1); | |
return $last + five_0_to_num((int)mb_substr($value, 1)); | |
} | |
/** | |
* class DontGiveMeFiveTest extends TestCase { | |
* public function testSimple() | |
* { | |
* $this->assertEquals(8, dont_give_me_five(1, 9)); | |
* $this->assertEquals(12, dont_give_me_five(4, 17)); | |
* } | |
* | |
* public function testWithEthalon() | |
* { | |
* $test_array = [0, 1, 5, 105, 150, 500, 555, 444, 446, 600, 99999]; | |
* foreach ($test_array as $xx) { | |
* foreach ([-1, 1] as $xm) { | |
* $x = $xx * $xm; | |
* foreach ($test_array as $yy) { | |
* foreach ([-1, 1] as $ym) { | |
* $y = $yy * $ym; | |
* | |
* $this->assertEquals( | |
* $this->ethalon($x, $y), | |
* dont_give_me_five($x, $y), | |
* "$x => $y with: " . $this->ethalon($x, $y) . '!='. dont_give_me_five($x, $y) | |
* ); | |
* } | |
* } | |
* } | |
* } | |
* | |
* $this->assertEquals( | |
* 2477039237406838187, | |
* dont_give_me_five(PHP_INT_MIN + 1, PHP_INT_MAX - 1), | |
* 'PHP_INT_MIN => PHP_INT_MAX' | |
* ); | |
* } | |
* | |
* public function testTime() | |
* { | |
* | |
* $microtime1 = microtime(true); | |
* $my_result = dont_give_me_five(PHP_INT_MIN + 1, PHP_INT_MAX - 1); | |
* $microtime2 = microtime(true); | |
* var_dump([ | |
* "my" => [ | |
* 'value' => $my_result, | |
* 'time' => ceil(($microtime2 - $microtime1)*10000)/10000, | |
* ] | |
* ]); | |
* | |
* $microtime3 = microtime(true); | |
* $ethalon_result = $this->ethalon(PHP_INT_MIN + 1, PHP_INT_MAX - 1); | |
* $microtime4 = microtime(true); | |
* | |
* var_dump([ | |
* "ethalon" => [ | |
* 'value' => $my_result === $ethalon_result, | |
* 'diff' => ceil(($microtime4-$microtime3) - ($microtime2-$microtime1))/1000 .'s', | |
* ], | |
* ]); | |
* } | |
* | |
* | |
* public function ethalon(int $start, int $end):int | |
* { | |
* if ($start > $end) { | |
* list($start, $end) = [$end, $start]; | |
* } | |
* $count = 0; | |
* for ($x = $start; $x <= $end; ++$x) { | |
* if (strpos($x, '5') === false) { | |
* $count++; | |
* } | |
* } | |
* | |
* return $count; | |
* } | |
* } | |
*/ | |
$test_array = [0, 1, 5, 105, 150, 500, 555, 444, 446, 600, 99999]; | |
foreach ($test_array as $xx) { | |
foreach ([-1, 1] as $xm) { | |
$x = $xx * $xm; | |
foreach ($test_array as $yy) { | |
foreach ([-1, 1] as $ym) { | |
$y = $yy * $ym; | |
$r = [ | |
ethalon($x, $y), | |
dont_give_me_five($x, $y) | |
]; | |
if ($r[0] != $r[1]) { | |
var_dump(["$x => $y" => $r]); | |
} else { | |
echo '.'; | |
} | |
} | |
} | |
} | |
} | |
$microtime1 = microtime(true); | |
$my_result = dont_give_me_five(PHP_INT_MIN + 1, PHP_INT_MAX - 1); | |
$microtime2 = microtime(true); | |
var_dump([ | |
"my" => [ | |
'value' => $my_result, | |
'time' => ceil(($microtime2 - $microtime1) * 10000) / 10000, | |
] | |
]); | |
$microtime3 = microtime(true); | |
$ethalon_result = ethalon(PHP_INT_MIN + 1, PHP_INT_MAX - 1); | |
$microtime4 = microtime(true); | |
var_dump([ | |
"ethalon" => [ | |
'value' => $my_result === $ethalon_result, | |
'diff' => ceil(($microtime4 - $microtime3) - ($microtime2 - $microtime1)) / 1000 . 's', | |
], | |
]); | |
$microtime5 = microtime(true); | |
$ethalon2_result = ethalon2(PHP_INT_MIN + 1, PHP_INT_MAX - 1); | |
$microtime6 = microtime(true); | |
var_dump([ | |
"ethalon" => [ | |
'value' => $my_result === $ethalon2_result, | |
'diff' => ceil(($microtime6 - $microtime5) - ($microtime2 - $microtime1)) / 1000 . 's', | |
], | |
]); | |
function ethalon(int $start, int $end): int | |
{ | |
if ($start > $end) { | |
list($start, $end) = [$end, $start]; | |
} | |
$count = 0; | |
for ($x = $start; $x <= $end; ++$x) { | |
if (strpos($x, '5') === false) { | |
$count++; | |
} | |
} | |
return $count; | |
} | |
function ethalon2(int $start, int $end): int | |
{ | |
return count(array_filter(range($start, $end), function ($iNumber) { | |
return strpos((string)$iNumber, '5') === false; | |
})); | |
} |
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