# Java solution with full explaination

• My solution take @uwi 's solution as reference, and add my understanding to it.
We first need to find the higher palindrome and lower palidrome respectively. and return the one who has the least different with the input number.

For the higher palindrome, the low limit is number + 1 while for the lower palindrome, the high limit is number - 1.

One global solution to find a palindrome is to copy first half part of the array to the last half part, we regards this as standard palindrome.
We need to detect this standard palindrome belongs to higher one or the lower one. And other solutions will be based on this standard one.

For the higher palindrome, if the standard one belongs to higher, we just simply return it. Or we need to change it.
For example, String n is 1343, and the standard palindrome is 1331. to get the higher one from the standard palidrome, we start from the
first 3, which is (n.length - 1) / 2. Add the number by 1, (---> 1431)if the added result is not higher than 9, the changing process is finished,
otherwise, continuously changing the number of previous index by i. After the changing process, we re-palidrome the string. (1431 -- > 1441)

For the lower palindrome, similar idea.But we need to notice that when we decrease a number, and if the first character of the string is '0',
we need to resize the array of n.length - 1, and fill in with '9'. (for example, n is '1000', the standard palidrome is '1001'(higher one) ,the lower one '0000'-->'999'.)

``````public class Solution {
public String nearestPalindromic(String n) {
Long number = Long.parseLong(n);
Long big = findHigherPalindrome(number + 1);
Long small = findLowerPalindrome(number - 1);
return Math.abs(number - small) > Math.abs(big - number) ? String.valueOf(big) : String.valueOf(small);
}
public Long findHigherPalindrome(Long limit) {
String n = Long.toString(limit);
char[] s = n.toCharArray(); // limit
int m = s.length;
char[] t = Arrays.copyOf(s, m); // target
for (int i = 0; i < m / 2; i++) {
t[m - 1 - i] = t[i];
}
for (int i = 0; i < m; i++) {
if (s[i] < t[i]) {
return Long.parseLong(String.valueOf(t));
} else if (s[i] > t[i]) {
for (int j = (m - 1) / 2; j >= 0; j--) {
if (++t[j] > '9') {
t[j] = '0';
} else {
break;
}
}
// make it palindrome again
for (int k = 0; k < m / 2; k++) {
t[m - 1 - k] = t[k];
}
return Long.parseLong(String.valueOf(t));
}
}
return Long.parseLong(String.valueOf(t));
}
public Long findLowerPalindrome(Long limit) {
String n = Long.toString(limit);
char[] s = n.toCharArray();
int m = s.length;
char[] t = Arrays.copyOf(s, m);
for (int i = 0; i < m / 2; i++) {
t[m - 1 - i] = t[i];
}
for (int i = 0; i < m; i++) {
if (s[i] > t[i]) {
return Long.parseLong(String.valueOf(t));
} else if (s[i] < t[i]) {
for (int j = (m - 1) / 2; j >= 0; j--) {
if (--t[j] < '0') {
t[j] = '9';
} else {
break;
}
}
if (t[0] == '0') {
char[] a = new char[m - 1];
Arrays.fill(a, '9');
return Long.parseLong(String.valueOf(a));
}
// make it palindrome again
for (int k = 0; k < m / 2; k++) {
t[m - 1 - k] = t[k];
}
return Long.parseLong(String.valueOf(t));
}
}
return Long.parseLong(String.valueOf(t));
}
}
``````

• Nice solution, Thanks

• @star1993 Thank you! :)

• Very clear explanation! Thanks:)

• @yuhengw Thanks for your clear explanation. There may be some inaccuracy in the last paragraph of your explanation. You explained that the case n=1000. Based on the code, the limit in the function findLowerPalindrome(Long limit) is 999, which is already a palindrome. Therefore, the char[] t and char[] s are the same, which is ['9','9','9'], and there is no transition from '0000'-->'999'.

• ``````class Solution {
public String nearestPalindromic(String n) {
Long num = Long.parseLong(n);
Long highBound = getNextPalindrom(num + 1, true);
Long lowBound = getNextPalindrom(num - 1, false);
if (Math.abs(lowBound - num) <= Math.abs(highBound - num)) {
return String.valueOf(lowBound);
}
return String.valueOf(highBound);
}

private Long getNextPalindrom(Long limit, boolean up) {
int inc = up ? 1 : -1;
char[] limitArr = String.valueOf(limit).toCharArray();
char[] base = limitArr.clone();
replicateFirstHalf(base);
for (int i = 0; i < limitArr.length; i++) {
if ((up && base[i] > limitArr[i]) || (!up && base[i] < limitArr[i])) {
return Long.parseLong(String.valueOf(base));
} else if ((up && base[i] < limitArr[i]) ||
(!up && base[i] > limitArr[i])) {
for (int j = (limitArr.length - 1) / 2; j >= 0; j--) {
if (base[j] + inc < '0' || base[j] + inc > '9') {
base[j] = '0';
} else {
base[j] += inc;
break;
}
}
if (base[0] == '0') {
char[] temp = new char[base.length - 1];
Arrays.fill(temp, '9');
return Long.parseLong(String.valueOf(temp));
}
replicateFirstHalf(base);
return Long.parseLong(String.valueOf(base));
}
}
return Long.parseLong(String.valueOf(base));
}

private void replicateFirstHalf(char[] base) {
int len = base.length;
for (int i = 0; i < base.length / 2; i++) {
base[base.length - 1 - i] = base[i];
}
}
}
``````

For those who want a shorter version. Not the shortest, though.

• best answer in terms of explanaion imo

• Hi , Can someone tell me whats the problem with my solution.My code is failing for inputs like "2","11".

'''

``````public String nearestPalindromic(String n) {
long highestPallindrom = 0,lowestPallindrom = 0 ;

Long value = Long.valueOf(n);

if(n.length() == 1){
return String.valueOf(value-1);
}

if(!isPallindrom(value)){
highestPallindrom =getHighestPallindrom(value);
lowestPallindrom = getLowestPallindrom(value);
}

if(highestPallindrom-value > value-lowestPallindrom || highestPallindrom-value == value-lowestPallindrom )
{
return String.valueOf(lowestPallindrom);
}else{
return String.valueOf(highestPallindrom);
}

}

private long getHighestPallindrom(long value){
long num = value;
while(!isPallindrom(num)){
num++;
}
System.out.println(num);
return num;
}

private long getLowestPallindrom(long value){
long num = value;
while(!isPallindrom(num)){
num--;
}
System.out.println(num);
return num;
}

private boolean isPallindrom(long value){
long temp = value;
long reverse = 0;
while(temp != 0){
long remainder = temp %10;
reverse = reverse*10+ remainder;
temp = temp/10;
}

if(value == reverse){
return true;
}else
{
return false;
}
}
``````

'''

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