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

这是我的代码,它是这个例子的修改版本

库:

class NumPermExample
{
    // print N! permutation of the characters of the string s (in order)
    public  static void perm1(String s, ArrayList<String> perm)
    {
        perm1("", s);
    }

    private static void perm1(String prefix, String s, ArrayList<String> perm)
    {
        int N = s.length();
        if (N == 0)
        {
            System.out.println(prefix);
            perm.add(prefix);
        }
        else
        {
            for (int i = 0; i < N; i++)
                perm1(prefix + s.charAt(i), s.substring(0, i)
                    + s.substring(i+1, N));
        }

    }

    // print N! permutation of the elements of array a (not in order)
    public static void perm2(String s, ArrayList<String> perm)
    {
       int N = s.length();
       char[] a = new char[N];
       for (int i = 0; i < N; i++)
           a[i] = s.charAt(i);
       perm2(a, N);
    }

    private static void perm2(char[] a, int n, ArrayList<String> perm)
    {
        if (n == 1)
        {
            System.out.println(a);
            perm.add(new String(a));
            return;
        }

        for (int i = 0; i < n; i++)
        {
            swap(a, i, n-1);
            perm2(a, n-1);
            swap(a, i, n-1);
        }
    }  

    // swap the characters at indices i and j
    private static void swap(char[] a, int i, int j)
    {
        char c;
        c = a[i]; a[i] = a[j]; a[j] = c;
    }

    // next higher permutation
    public static int nextPermutation (int number)
    {
        ArrayList<String> perm = new ArrayList<String>();

        String cur = ""+number;

        int nextPerm = 0;

        perm1(cur, perm);

        for (String s : perm)
        {
            if (Integer.parseInt(s) > number
                        && (nextPerm == 0 ||
                            Integer.parseInt(s) < nextPerm))
            {
                nextPerm = Integer.parseInt(s);
            }
        }

            return nextPerm;
    }
}

测试:

public static void main(String[] args) 
{
    int a = 38276;

    int b = NumPermExample.nextPermutation(a);

    System.out.println("a: "+a+", b: "+b);
}

其他回答

我很确定你的面试官是想委婉地让你说出这样的话:

local number = 564321;

function split(str)
    local t = {};
    for i = 1, string.len(str) do
        table.insert(t, str.sub(str,i,i));
    end
    return t;
end

local res = number;
local i = 1;
while number >= res do
    local t = split(tostring(res));
    if i == 1 then
        i = #t;
    end
    t[i], t[i-1] = t[i-1], t[i];
    i = i - 1;
    res = tonumber(table.concat(t));
end

print(res);

不一定是最有效或最优雅的解决方案,但它在两个循环中解决了所提供的示例,并像他建议的那样一次交换一个数字。

你的想法

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。

其实还不错。您不仅要考虑最后一位数字,还要考虑所有比当前考虑的不那么重要的数字。在此之前,我们有一个单调的数字序列,即最右边的数字比它右边的邻居小。把

1234675
    ^

下一个有相同数字的大数是

1234756

将找到的数字交换为最后一位数字(考虑的数字中最小的数字),其余数字按递增顺序排列。

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

只是使用python的另一个解决方案:

def PermutationStep(num):
    if sorted(list(str(num)), reverse=True) == list(str(num)):
        return -1
    ls = list(str(num))
    n = 0
    inx = 0
    for ind, i in enumerate(ls[::-1]):
        if i < n:
            n = i
            inx = -(ind + 1)
            break
        n = i
    ls[inx], ls[inx + 1] = ls[inx + 1], ls[inx]

    nl = ls[inx::-1][::-1]
    ln = sorted(ls[inx+1:])
    return ''.join(nl) + ''.join(ln)

print PermutationStep(23514)

输出:

23541

非常简单的实现使用Javascript,下一个最高的数字与相同的数字

/*
Algorithm applied
I) Traverse the given number from rightmost digit, keep traversing till you find a digit which is smaller than the previously traversed digit. For example, if the input number is “534976”, we stop at 4 because 4 is smaller than next digit 9. If we do not find such a digit, then output is “Not Possible”.

II) Now search the right side of above found digit ‘d’ for the smallest digit greater than ‘d’. For “534976″, the right side of 4 contains “976”. The smallest digit greater than 4 is 6.

III) Swap the above found two digits, we get 536974 in above example.

IV) Now sort all digits from position next to ‘d’ to the end of number. The number that we get after sorting is the output. For above example, we sort digits in bold 536974. We get “536479” which is the next greater number for input 534976.

*/

function findNext(arr)
{
  let i;
  //breaking down a digit into arrays of string and then converting back that array to number array
  let arr1=arr.toString().split('').map(Number) ;
  //started to loop from the end of array 
  for(i=arr1.length;i>0;i--)
  {
    //looking for if the current number is greater than the number next to it
    if(arr1[i]>arr1[i-1])
    {// if yes then we break the loop it so that we can swap and sort
      break;}
  }

  if(i==0)
  {console.log("Not possible");}

   else
  {
   //saving that big number and smaller number to the left of it
   let smlNum =arr1[i-1];
    let bigNum =i;
   /*now looping again and checking if we have any other greater number, if we have one AFTER big number and smaller number to the right. 
     A greater number that is of course greater than that smaller number but smaller than the first number we found.
     Why are doing this? Because that is an algorithm to find next higher number with same digits. 
   */
    for(let j=i+1;j<arr1.length;j++)
      {//What if there are no digits afters those found numbers then of course loop will not be initiated otherwise...
        if(arr1[j]> smlNum && arr1[j]<arr1[i])
        {// we assign that other found number here and replace it with the one we found before
          bigNum=j;

        }
      } //now we are doing swapping of places the small num and big number , 3rd part of alogorithm
    arr1[i-1]=arr1[bigNum];
          arr1[bigNum]=smlNum;
    //returning array 
    //too many functions applied sounds complicated right but no, here is the  trick
    //return arr first then apply each function one by one to see output and then further another func to that output to match your needs
    // so here after swapping , 4th part of alogorithm is to sort the array right after the 1st small num we found
    // to do that first we simple take part of array, we splice it and then we apply sort fucntion, then check output (to check outputs, pls use chrome dev console)
    //and then  simply the rest concat and join to main one digit again.
     return arr1.concat((arr1.splice(i,arr1.length)).sort(function(a, b){return a-b})).join('');



    // Sorry to make it too long but its fun explaining things in much easier ways as much as possible!!
  }

}


findNext(1234);

因为有很多评论,所以你最好把它复制到你的文本编辑器。 谢谢!