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Home Backend Development PHP Tutorial 已知n个数的和是32898,求每一个加数

已知n个数的和是32898,求每一个加数

Jun 23, 2016 pm 01:27 PM

已知n个数的和是32898,或是其他的整数,
求每个加数,要求结果随机。
加数是在1(含)到999(含)之间的整数
也就是说$arr[1]+$arr[2]+....+$arr[n]=32898

必须下面的33个加数 加起来是32898,求这33个加数,要求返回这33个加数的一个数组。要求结果随机。

我的实际应用中每个加数必须是在1到999之前,请高手一定要按照这个区间进行测试。

function xxx(32898,33,1,999){    $arr = array();     return $arr;}
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回复讨论(解决方案)

加数可以重复吗?

33个1~99的数组成32898
平均数是997
所以取值范围是995~999
取1是不可能的。

$r = foo(32898, 33);echo array_sum($r), PHP_EOL; //验证总和print_r(array_count_values($r)); //查看分布function foo($num, $k, $min=1, $max=999) {  $res = array_fill(0, $k, 1);  do {    for($i=0; $i<$k; $i++) {      $sum = array_sum($res);      $t = rand(0, $max - $min);      if($res[$i] + $t > $max) $t = $max - $res[$i];      if($sum + $t > $num) $t = $num - $sum;      $res[$i] += $t;    }  }while($num > $sum);  return $res;}
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一个可能的结果
32898Array(    [999] => 31    [971] => 1    [958] => 1)
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加数可以重复吗?



加数可以重复。但是如果尽量不重复更好一点点。

$r = foo(32898, 33);echo array_sum($r), PHP_EOL; //验证总和print_r(array_count_values($r)); //查看分布function foo($num, $k, $min=1, $max=999) {  $res = array_fill(0, $k, 1);  do {    for($i=0; $i<$k; $i++) {      $sum = array_sum($res);      $t = rand(0, $max - $min);      if($res[$i] + $t > $max) $t = $max - $res[$i];      if($sum + $t > $num) $t = $num - $sum;      $res[$i] += $t;    }  }while($num > $sum);  return $res;}
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Copy after login
一个可能的结果
32898Array(    [999] => 31    [971] => 1    [958] => 1)
Copy after login
Copy after login
Copy after login



$r = foo(32898, 33);echo array_sum($r), PHP_EOL; //验证总和print_r(array_count_values($r)); //查看分布function foo($num, $k, $min=1, $max=999) {  $res = array_fill(0, $k, 1);  do {    for($i=0; $i<$k; $i++) {      $sum = array_sum($res);      $t = rand(0, $max - $min);      if($res[$i] + $t > $max) $t = $max - $res[$i];      if($sum + $t > $num) $t = $num - $sum;      $res[$i] += $t;    }  }while($num > $sum);  return $res;}
Copy after login
Copy after login
Copy after login
一个可能的结果
32898Array(    [999] => 31    [971] => 1    [958] => 1)
Copy after login
Copy after login
Copy after login



经过我测试53个数,答案完全正确,如果是33个数能否输出33个数的数字,如果是53个数,输出53个数的数字,而不是现在这样。谢谢。

已追加20分,多谢

$r = foo(32898, 33);
$r 就是你要的结果,我只是做了下验证。你要拿他做什么,就是你自己的事情了
$r 是数组,print_r($r) 就看到内容了

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