我刚刚搞砸了一次面试,而且我的面试问题几乎毫无进展。

给定一个数,找出下一个与之完全相同的更大的数 作为原始数字的数字集。例如:给定38276返回 38627

我想从找到第一个比个位小的数字的下标开始。然后我将旋转子集中的最后一个数字,这样它是由相同的数字组成的下一个最大的数字,但卡住了。

面试官还建议我试着一次换一个数字,但我搞不懂算法,只能盯着屏幕看20-30分钟。不用说,我想我还得继续找工作。


当前回答

@BlueRaja算法的javascript实现。

var Bar = function(num){ 
  num = num.toString();
  var max = 0;
  for(var i=num.length-2; i>0; i--){
    var numArray = num.substr(i).split("");
    max = Math.max.apply(Math,numArray);
    if(numArray[0]<max){
        numArray.sort(function(a,b){return a-b;});
        numArray.splice(-1);
        numArray = numArray.join("");
        return Number(num.substr(0,i)+max+numArray);
    }
  }
  return -1;
};

其他回答

我们需要找到最右边的0位,后面是1,然后将最右边的0位翻转为1。

例如,我们的输入是487,也就是二进制的111100111。

我们把后面有1的0往右翻转最多

所以我们得到 111101111

但是现在我们多了一个1,少了一个0,所以我们减少了右边1的个数 位增加1,并将0位的no增加1,得到

111101011 -二进制491

int getNextNumber(int input)
{
    int flipPosition=0;
    int trailingZeros=0;
    int trailingOnes=0;
    int copy = input;

    //count trailing zeros
    while(copy != 0 && (copy&1) == 0 )
    {
        ++trailingZeros;

        //test next bit
        copy = copy >> 1;
    }

    //count trailing ones
    while(copy != 0 && (copy&1) == 1 )
    {
        ++trailingOnes;

        //test next bit
        copy = copy >> 1;
    }

    //if we have no 1's (i.e input is 0) we cannot form another pattern with 
    //the same number of 1's which will increment the input, or if we have leading consecutive
    //ones followed by consecutive 0's up to the maximum bit size of a int
    //we cannot increase the input whilst preserving the original no of 0's and
    //1's in the bit pattern
    if(trailingZeros + trailingOnes  == 0 || trailingZeros + trailingOnes == 31)
        return -1;

    //flip first 0 followed by a 1 found from the right of the bit pattern
    flipPosition = trailingZeros + trailingOnes+1;
    input |= 1<<(trailingZeros+trailingOnes);

    //clear fields to the right of the flip position
    int mask = ~0 << (trailingZeros+trailingOnes);
    input &= mask;

    //insert a bit pattern to the right of the flip position that will contain
    //one less 1 to compensate for the bit we switched from 0 to 1
    int insert = flipPosition-1;
    input |= insert;

    return input;
}

这里是Java实现

public static int nextHigherNumber(int number) {
    Integer[] array = convertToArray(number);
    int pivotIndex = pivotMaxIndex(array);
    int digitInFirstSequence = pivotIndex -1;
    int lowerDigitIndexInSecondSequence = lowerDigitIndex(array[digitInFirstSequence], array, pivotIndex);
    swap(array, digitInFirstSequence, lowerDigitIndexInSecondSequence);
    doRercursiveQuickSort(array, pivotIndex, array.length - 1);
    return arrayToInteger(array);
}

public static Integer[] convertToArray(int number) {
    int i = 0;
    int length = (int) Math.log10(number);
    int divisor = (int) Math.pow(10, length);
    Integer temp[] = new Integer[length + 1];

    while (number != 0) {
        temp[i] = number / divisor;
        if (i < length) {
            ++i;
        }
        number = number % divisor;
        if (i != 0) {
            divisor = divisor / 10;
        }
    }
    return temp;
}

private static int pivotMaxIndex(Integer[] array) {
    int index = array.length - 1;
    while(index > 0) {
        if (array[index-1] < array[index]) {
            break;
        }
        index--;
    }       
    return index;
}

private static int lowerDigitIndex(int number, Integer[] array, int fromIndex) {
    int lowerMaxIndex = fromIndex;
    int lowerMax = array[lowerMaxIndex];
    while (fromIndex < array.length - 1) {
        if (array[fromIndex]> number && lowerMax > array[fromIndex]) {
            lowerMaxIndex = fromIndex; 
        }
        fromIndex ++;
    }
    return lowerMaxIndex;
}

public static int arrayToInteger(Integer[] array) {
    int number = 0;
    for (int i = 0; i < array.length; i++) {
        number+=array[i] * Math.pow(10, array.length-1-i);
    }
    return number;
}

这里是单元测试

@Test
public void nextHigherNumberTest() {
    assertThat(ArrayUtils.nextHigherNumber(34722641), is(34724126));
    assertThat(ArrayUtils.nextHigherNumber(123), is(132));
}

PHP代码

function NextHigherNumber($num1){
$num = strval($num1);
$max = 0;
for($i=(strlen($num)-2); $i>=0; $i--){
    $numArrayRaw = substr($num, $i);
    $numArray = str_split($numArrayRaw);
    $max = max($numArray);
    if ($numArray[0] < $max){
        sort( $numArray, SORT_NUMERIC );
        array_pop($numArray);
        $numarrstr = implode("",$numArray);
        $rt = substr($num,0,$i) . $max . $numarrstr;
        return $rt;
    }
}
return "-1";
}
echo NextHigherNumber(123);

这是我在Ruby中的实现:

def foo num  
  num = num.to_s.chars.map(&:to_i)
  return num.join.to_i if num.size < 2
  for left in (num.size-2).downto(0) do
    for right in (num.size-1).downto(left+1) do
      if num[right]>num[left]
        num[left],num[right] = num[right],num[left]        
        return (num[0..left] + num[left+1..num.size-1].sort).join.to_i
      end
    end
  end
  return num.join.to_i
end

p foo 38276 
#will print: 38627

PHP实现

时间复杂度O(n)

$n = "9875";
$n_size = strlen($n);
for($i = $n_size-1; $i > 0; $i-- ) {
     if($n[$i] > $n[$i-1]){
     $temp = $n[$i];
     $n[$i] = $n[$i-1];
     $n[$i-1] = $temp;
     break;
     }
    
}

if($i == 0){
    echo "Next Greater value no possible";
}else{
    echo $n;
}