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Премахнете знак от низ, за ​​да го превърнете в палиндром

При даден низ трябва да проверим дали е възможно да направим този низ палиндром, след като премахнем точно един символ от него. 

Примери:   

Input : str = abcba Output : Yes we can remove character ‘c’ to make string palindrome Input : str = abcbea Output : Yes we can remove character ‘e’ to make string palindrome Input : str = abecbea It is not possible to make this string palindrome just by removing one character 

Можем да решим този проблем, като намерим позицията на несъответствието. Започваме цикъл в низа, като държим два указателя в двата края, които преминават към средна позиция след всяка итерация. Тази итерация ще спре, когато открием несъответствие, тъй като е позволено да премахнем само един знак, тук имаме два избора



При несъответствие или премахнете символа, посочен от левия показалец, или премахнете знака, посочен от десния показалец.

Ще проверим и двата случая, запомнете, че тъй като сме преминали еднакъв брой стъпки от двете страни, този среден низ също трябва да бъде палиндром след премахване на един знак, така че проверяваме два подниза, един чрез премахване на левия знак и един чрез премахване на десния знак, и ако единият от тях е палиндром, тогава можем да направим пълен палиндром на низ, като премахнем съответния знак и ако и двата подниза не са палиндром, тогава не е възможно да направим пълен низ a палиндром при дадено ограничение. 

Изпълнение:

C++
// C/C++ program to check whether it is possible to make // string palindrome by removing one character #include    using namespace std; // Utility method to check if substring from low to high is // palindrome or not. bool isPalindrome(string::iterator low string::iterator high) {  while (low < high)  {  if (*low != *high)  return false;  low++;  high--;  }  return true; } // This method returns -1 if it is not possible to make string // a palindrome. It returns -2 if string is already a palindrome. // Otherwise it returns index of character whose removal can // make the whole string palindrome. int possiblePalinByRemovingOneChar(string str) {  // Initialize low and high by both the ends of the string  int low = 0 high = str.length() - 1;  // loop until low and high cross each other  while (low < high)  {  // If both characters are equal then move both pointer  // towards end  if (str[low] == str[high])  {  low++;  high--;  }  else  {  /* If removing str[low] makes the whole string palindrome.  We basically check if substring str[low+1..high] is  palindrome or not. */  if (isPalindrome(str.begin() + low + 1 str.begin() + high))  return low;  /* If removing str[high] makes the whole string palindrome  We basically check if substring str[low+1..high] is  palindrome or not. */  if (isPalindrome(str.begin() + low str.begin() + high - 1))  return high;  return -1;  }  }  // We reach here when complete string will be palindrome  // if complete string is palindrome then return mid character  return -2; } // Driver code to test above methods int main() {  string str = 'abecbea';  int idx = possiblePalinByRemovingOneChar(str);  if (idx == -1)  cout << 'Not Possible n';  else if (idx == -2)  cout << 'Possible without removing any character';  else  cout << 'Possible by removing character'  << ' at index ' << idx << 'n';  return 0; } 
Java
// Java program to check whether  // it is possible to make string  // palindrome by removing one character import java.util.*; class GFG  {  // Utility method to check if   // substring from low to high is  // palindrome or not.  static boolean isPalindrome(String str   int low int high)  {  while (low < high)   {  if (str.charAt(low) != str.charAt(high))  return false;  low++;  high--;  }  return true;  }  // This method returns -1 if it is   // not possible to make string a palindrome.   // It returns -2 if string is already   // a palindrome. Otherwise it returns   // index of character whose removal can  // make the whole string palindrome.  static int possiblePalinByRemovingOneChar(String str)  {  // Initialize low and right   // by both the ends of the string  int low = 0 high = str.length() - 1;  // loop until low and  // high cross each other  while (low < high)   {  // If both characters are equal then   // move both pointer towards end  if (str.charAt(low) == str.charAt(high))   {  low++;  high--;  }   else  {  /*  * If removing str[low] makes the   * whole string palindrome. We basically   * check if substring str[low+1..high]  * is palindrome or not.  */  if (isPalindrome(str low + 1 high))  return low;  /*  * If removing str[high] makes the whole string   * palindrome. We basically check if substring   * str[low+1..high] is palindrome or not.  */  if (isPalindrome(str low high - 1))  return high;  return -1;  }  }  // We reach here when complete string   // will be palindrome if complete string   // is palindrome then return mid character  return -2;  }  // Driver Code  public static void main(String[] args)  {  String str = 'abecbea';  int idx = possiblePalinByRemovingOneChar(str);  if (idx == -1)  System.out.println('Not Possible');  else if (idx == -2)  System.out.println('Possible without ' +   'removing any character');  else  System.out.println('Possible by removing' +   ' character at index ' + idx);  } } // This code is contributed by // sanjeev2552 
Python3
# Python program to check whether it is possible to make # string palindrome by removing one character # Utility method to check if substring from  # low to high is palindrome or not. def isPalindrome(string: str low: int high: int) -> bool: while low < high: if string[low] != string[high]: return False low += 1 high -= 1 return True # This method returns -1 if it  # is not possible to make string # a palindrome. It returns -2 if  # string is already a palindrome. # Otherwise it returns index of # character whose removal can # make the whole string palindrome. def possiblepalinByRemovingOneChar(string: str) -> int: # Initialize low and right by # both the ends of the string low = 0 high = len(string) - 1 # loop until low and high cross each other while low < high: # If both characters are equal then # move both pointer towards end if string[low] == string[high]: low += 1 high -= 1 else: # If removing str[low] makes the whole string palindrome. # We basically check if substring str[low+1..high] is # palindrome or not. if isPalindrome(string low + 1 high): return low # If removing str[high] makes the whole string palindrome # We basically check if substring str[low+1..high] is # palindrome or not if isPalindrome(string low high - 1): return high return -1 # We reach here when complete string will be palindrome # if complete string is palindrome then return mid character return -2 # Driver Code if __name__ == '__main__': string = 'abecbea' idx = possiblepalinByRemovingOneChar(string) if idx == -1: print('Not possible') else if idx == -2: print('Possible without removing any character') else: print('Possible by removing character at index' idx) # This code is contributed by # sanjeev2552 
C#
// C# program to check whether  // it is possible to make string  // palindrome by removing one character using System; class GFG  {  // Utility method to check if   // substring from low to high is  // palindrome or not.  static bool isPalindrome(string str int low int high)  {  while (low < high)   {  if (str[low] != str[high])  return false;  low++;  high--;  }  return true;  }  // This method returns -1 if it is   // not possible to make string a palindrome.   // It returns -2 if string is already   // a palindrome. Otherwise it returns   // index of character whose removal can  // make the whole string palindrome.  static int possiblePalinByRemovingOneChar(string str)  {  // Initialize low and right   // by both the ends of the string  int low = 0 high = str.Length - 1;  // loop until low and  // high cross each other  while (low < high)   {  // If both characters are equal then   // move both pointer towards end  if (str[low] == str[high])   {  low++;  high--;  }   else  {  /*  * If removing str[low] makes the   * whole string palindrome. We basically   * check if substring str[low+1..high]  * is palindrome or not.  */  if (isPalindrome(str low + 1 high))  return low;  /*  * If removing str[high] makes the whole string   * palindrome. We basically check if substring   * str[low+1..high] is palindrome or not.  */  if (isPalindrome(str low high - 1))  return high;  return -1;  }  }  // We reach here when complete string   // will be palindrome if complete string   // is palindrome then return mid character  return -2;  }  // Driver Code  public static void Main(String[] args)  {  string str = 'abecbea';  int idx = possiblePalinByRemovingOneChar(str);  if (idx == -1)  Console.Write('Not Possible');  else if (idx == -2)  Console.Write('Possible without ' +   'removing any character');  else  Console.Write('Possible by removing' +   ' character at index ' + idx);  } } // This code is contributed by shivanisinghss2110 
JavaScript
<script> // JavaScript program to check whether  // it is possible to make string  // palindrome by removing one character // Utility method to check if  // substring from low to high is // palindrome or not. function isPalindrome(str low high)  {  while (low < high)   {  if (str.charAt(low) != str.charAt(high))  return false;  low++;  high--;  }  return true;  }  // This method returns -1 if it is   // not possible to make string a palindrome.   // It returns -2 if string is already   // a palindrome. Otherwise it returns   // index of character whose removal can  // make the whole string palindrome.  function possiblePalinByRemovingOneChar(str)  {  // Initialize low and right   // by both the ends of the string  var low = 0 high = str.length - 1;  // loop until low and  // high cross each other  while (low < high)   {  // If both characters are equal then   // move both pointer towards end  if (str.charAt(low) == str.charAt(high))   {  low++;  high--;  }   else  {  /*  * If removing str[low] makes the   * whole string palindrome. We basically   * check if substring str[low+1..high]  * is palindrome or not.  */  if (isPalindrome(str low + 1 high))  return low;  /*  * If removing str[high] makes the whole string   * palindrome. We basically check if substring   * str[low+1..high] is palindrome or not.  */  if (isPalindrome(str low high - 1))  return high;  return -1;  }  }  // We reach here when complete string   // will be palindrome if complete string   // is palindrome then return mid character  return -2;  }  // Driver Code  var str = 'abecbea';  var idx = possiblePalinByRemovingOneChar(str);  if (idx == -1)  document.write('Not Possible');  else if (idx == -2)  document.write('Possible without ' +   'removing any character');  else  document.write('Possible by removing' +   ' character at index ' + idx); // this code is contributed by shivanisinghss2110 </script> 

Изход
Not Possible 

Времева сложност: O(N)
Космическа сложност: O(1)

 

Създаване на тест