Check that if reverses of all possible substrings of input string are present in string or not. If present it’s a perfectly reversible string.
Example
a) Input string : abc
Output : NO
Here ab reverse ba is not present in abc.
b) Input string : aba
Output : Yes
Here a, b, ab, ba , aba present in string.
Time complexity : O(n)
Algorithm
Check if the string is palindrome or nott.
If string is palindrome it is perfectly reversible.
C++ Program
#include <bits/stdc++.h>
using namespace std;
//Check if palinddrome or not
//If palindrome reversible, else not
bool isReversible(string str)
{
int i = 0, j = str.length()-1;
//Traverse from left and right
while (i < j)
{
if (str[i] != str[j])
{
return false;
}
i++;
j--;
}
return true;
}
//Main function
int main()
{
string input_string="abab";
if (isReversible(input_string))
{
cout<< "Perfectly reversible string";
}
else
{
cout << "Not Perfectly reversible";
}
return 0;
}Try It
