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Solution to the next smallest number
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import java.io.*; | |
import java.lang.reflect.Array; | |
import java.util.*; | |
/* | |
* Given a Long number N, write a function that calculates the highest number lower than N obtained by permute only one digit of N. | |
* If no permutation exists to return a lower value, return N. | |
* Example: | |
* N = 153 | |
* permuteToPrevious(N) = 135 | |
* N = 12345 | |
* permuteToPrevious(N) = 12345 | |
* | |
* Please note: | |
* Use Long as type. Digits can repeat | |
*/ | |
class Data { | |
static final List<Long> exampleData = new ArrayList<>(); | |
static { | |
exampleData.add(153L); | |
exampleData.add(12345L); | |
exampleData.add(92145112L); | |
exampleData.add(54321L); | |
exampleData.add(295468L); | |
/* | |
* Example output for this data: | |
135 | |
12345 | |
92142115 | |
54312 | |
294568 | |
*/ | |
} | |
} | |
class Solution { | |
public static List<Integer> splitIntoDigits(Long number){ | |
List<Integer> listOfDigits = new ArrayList<>(); | |
while(number > 0){ | |
Long remainder = number % 10; | |
listOfDigits.add(remainder.intValue()); | |
number = number / 10; | |
} | |
return listOfDigits; | |
} | |
public static Long combineDigitsIntoNumber(Integer [] listOfDigits){ | |
Long temp = 0L; | |
for(int i = listOfDigits.length-1; i >= 0; i--){ | |
Long localTemp = listOfDigits[i] * (long)Math.pow(10L,i); | |
temp += localTemp; | |
} | |
return temp; | |
} | |
/** | |
* When traversing an array of digits to the right | |
* it can happen that the fist occurrence of a smaller | |
* number is not the one closest to the original one | |
* thus we are essentially collecting all the numbers | |
* smaller than the original one and in the last step | |
* we are sorting them and using the largest one | |
* */ | |
private static Long permuteToPrevious(Long input) { | |
List<Integer> listOfDigits = splitIntoDigits(input); | |
Integer [] arrayOfInts = listOfDigits.toArray(new Integer[listOfDigits.size()]); | |
List<Long> candidates = new ArrayList<>(); | |
for(int j = 0 ; j < arrayOfInts.length; j++){ | |
Integer first = arrayOfInts[j]; | |
for(int i = j; i < arrayOfInts.length; i++){ | |
if(arrayOfInts[i] > first){ | |
Integer [] copyArray = Arrays.copyOf(arrayOfInts, arrayOfInts.length); | |
copyArray[j] = copyArray[i]; | |
copyArray[i] = first; | |
candidates.add(combineDigitsIntoNumber(copyArray)); | |
} | |
} | |
} | |
Collections.sort(candidates); | |
return candidates.size() == 0 ? input : candidates.get(candidates.size()-1); | |
} | |
public static void main(final String[] args) { | |
for (final Long input : Data.exampleData) { | |
System.out.println(permuteToPrevious(input)); | |
} | |
} | |
} |
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