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。
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
#include <iostream>
using namespace std;
int main ()
{
int num=15432;
int quot,rem;
int numarr[5];
int length=0;
while(num!=0)
{
rem=num%10;
num = num/10;
numarr[length]=rem;
length++;
}
for(int j=0;j<length;j++)
{
for(int i=0;i<length;i++)
{
if(numarr[i]<numarr[i+1])
{
int tmp=numarr[i];
numarr[i]=numarr[i+1];
numarr[i+1]=tmp;
}
}
}
for(int j=0;j<length;j++)
{
cout<<numarr[j];
}
return 0;
}
其他回答
import java.util.Scanner;
public class Big {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
System.out.print("Enter the number ");
String str = sc.next();
int t=0;
char[] chars = str.toCharArray();
for(int i=str.length()-1,j=str.length()-2;j>=0;j--)
{
if((int)chars[i]>(int)chars[j])
{
t = (int)chars[i];
chars[i] = chars[j];
chars[j]=(char)t;
for(int k=j+1;k<str.length()-1;k++)
{
for(int l=k+1;l<str.length();l++)
{
if(chars[k]>chars[l])
{
int m = (int)chars[k];
chars[k] = chars[l];
chars[l]=(char)m;
}
}
}
break;
}
}
System.out.print("The next Big number is: ");
for(int i=0;i<str.length();i++){
System.out.print(chars[i]);
}
sc.close();
}
}
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。
public static void findNext(long number){
/* convert long to string builder */
StringBuilder s = new StringBuilder();
s.append(number);
int N = s.length();
int index=-1,pivot=-1;
/* from tens position find the number (called pivot) less than the number in right */
for(int i=N-2;i>=0;i--){
int a = s.charAt(i)-'0';
int b = s.charAt(i+1)-'0';
if(a<b){
pivot = a;
index =i;
break;
}
}
/* if no such pivot then no solution */
if(pivot==-1) System.out.println(" No such number ")
else{
/* find the minimum highest number to the right higher than the pivot */
int nextHighest=Integer.MAX_VALUE, swapIndex=-1;
for(int i=index+1;i<N;i++){
int a = s.charAt(i)-'0';
if(a>pivot && a<nextHighest){
nextHighest = a;
swapIndex=i;
}
}
/* swap the pivot and next highest number */
s.replace(index,index+1,""+nextHighest);
s.replace(swapIndex,swapIndex+1,""+pivot);
/* sort everything to right of pivot and replace the sorted answer to right of pivot */
char [] sort = s.substring(index+1).toCharArray();
Arrays.sort(sort);
s.replace(index+1,N,String.copyValueOf(sort));
System.out.println("next highest number is "+s);
}
}
回答在java与一个更多的条件添加
Next number should also be an Even number public static int nextDigit(int number) { String num = String.valueOf(number); int stop = 0; char[] orig_chars = null; char[] part1 = null; char[] part2 = null; orig_chars = num.toCharArray(); System.out.println("vivek c r"); for (int i = orig_chars.length - 1; i > 0; i--) { String previous = orig_chars[i - 1] + ""; String next = orig_chars[i] + ""; if (Integer.parseInt(previous) < Integer.parseInt(next)) { if (Integer.parseInt(previous) % 2 == 0) { String partString1 = ""; String partString2 = ""; for (int j = 0; j <= i - 1; j++) { partString1 = partString1.concat(orig_chars[j] + ""); } part1 = partString1.toCharArray(); for (int k = i; k < orig_chars.length; k++) { partString2 = partString2.concat(orig_chars[k] + ""); } part2 = partString2.toCharArray(); Arrays.sort(part2); for (int l = 0; l < part2.length; l++) { char temp = '0'; if (part2[l] > part1[i - 1]) { temp = part1[i - 1]; part1[i - 1] = part2[l]; part2[l] = temp; break; } } for (int m = 0; m < part2.length; m++) { char replace = '0'; if (part2[m] % 2 == 0) { replace = part2[m]; for (int n = m; n < part2.length - 1; n++) { part2[n] = part2[n + 1]; } part2[part2.length - 1] = replace; break; } } System.out.print(part1); System.out.println(part2); System.exit(0); } } } System.out.println("NONE"); return 0; }
这是个很有趣的问题。
这是我的java版本。在我检查其他贡献者的评论之前,从弄清楚模式到完全完成代码,我花了大约3个小时。很高兴看到我的想法和别人一样。
O (n)的解决方案。老实说,如果时间只有15分钟,并且要求在白板上完成完整的代码,我将会失败。
以下是我的解决方案的一些有趣点:
避免任何排序。 完全避免字符串操作 实现O(logN)空间复杂度
我在代码中添加了详细注释,并在每个步骤中添加了大O。
public int findNextBiggestNumber(int input ) {
//take 1358642 as input for example.
//Step 1: split the whole number to a list for individual digital 1358642->[2,4,6,8,5,3,1]
// this step is O(n)
int digitalLevel=input;
List<Integer> orgNumbersList=new ArrayList<Integer>() ;
do {
Integer nInt = new Integer(digitalLevel % 10);
orgNumbersList.add(nInt);
digitalLevel=(int) (digitalLevel/10 ) ;
} while( digitalLevel >0) ;
int len= orgNumbersList.size();
int [] orgNumbers=new int[len] ;
for(int i=0;i<len;i++){
orgNumbers[i ] = orgNumbersList.get(i).intValue();
}
//step 2 find the first digital less than the digital right to it
// this step is O(n)
int firstLessPointer=1;
while(firstLessPointer<len&&(orgNumbers[firstLessPointer]>orgNumbers[ firstLessPointer-1 ])){
firstLessPointer++;
}
if(firstLessPointer==len-1&&orgNumbers[len-1]>=orgNumbers[len-2]){
//all number is in sorted order like 4321, no answer for it, return original
return input;
}
//when step 2 step finished, firstLessPointer pointing to number 5
//step 3 fristLessPointer found, need to find to first number less than it from low digital in the number
//This step is O(n)
int justBiggerPointer= 0 ;
while(justBiggerPointer<firstLessPointer&& orgNumbers[justBiggerPointer]<orgNumbers[firstLessPointer]){
justBiggerPointer++;
}
//when step 3 finished, justBiggerPointer pointing to 6
//step 4 swap the elements of justBiggerPointer and firstLessPointer .
// This is O(1) operation for swap
int tmp= orgNumbers[firstLessPointer] ;
orgNumbers[firstLessPointer]= orgNumbers[justBiggerPointer] ;
orgNumbers[justBiggerPointer]=tmp ;
// when step 4 finished, the list looks like [2,4,5,8,6,3,1] the digital in the list before
// firstLessPointer is already sorted in our previous operation
// we can return result from this list but in a differrent way
int result=0;
int i=0;
int lowPointer=firstLessPointer;
//the following pick number from list from the position just before firstLessPointer, here is 8 -> 5 -> 4 -> 2
//This Operation is O(n)
while(lowPointer>0) {
result+= orgNumbers[--lowPointer]* Math.pow(10,i);
i++;
}
//the following pick number from list from position firstLessPointer
//This Operation is O(n)
while(firstLessPointer<len) {
result+= orgNumbers[firstLessPointer++ ]* Math.pow(10,i);
i++;
}
return result;
}
下面是在Intellj中运行的结果:
959879532-->959892357
1358642-->1362458
1234567-->1234576
77654321-->77654321
38276-->38627
47-->74