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
@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;
}