Annettu merkkijono, jossa on pieniä kirjaimia ja yksi erikoismerkkipiste (.). Meidän on korvattava kaikki pisteet jollain aakkostomerkillä siten, että tuloksena olevasta merkkijonosta tulee palindromi monien mahdollisten korvausten tapauksessa meidän on valittava leksikografisesti pienin palindromimerkkijono. Jos merkkijonoa ei ole mahdollista muuntaa palindromiksi kaikkien mahdollisten korvausten jälkeen, tulos ei ole mahdollista.
Esimerkkejä:
Input : str = ab..e.c.a Output : abcaeacba The smallest palindrome which can be made after replacement is 'abcaeacba' We replaced first dot with 'c' second dot with 'a' third dot with 'a' and fourth dot with 'b' Input : str = ab..e.c.b Output : Not Possible It is not possible to convert above string into palindrome
Voimme ratkaista tämän ongelman seuraavasti. Koska tuloksena olevan merkkijonon on oltava palindromi, voimme tarkistaa ei-pistemerkkien parin aloituksessa, jos ne eivät täsmää, suora palautus ei ole mahdollista, koska voimme sijoittaa uuden merkin vain pisteiden paikkaan, emme mihinkään muualle.
Sen jälkeen iteroidaan merkkijonon merkkejä, jos nykyinen merkki on piste, sitten tarkistamme sen parin (n - i -1:nnessä paikassa oleva merkki), jos tämä merkki on myös piste, voimme korvata molemmat merkit 'a':lla, koska "a" on pienin pieni aakkoset, joka takaa pienimmän leksikografisen merkkijonon lopussa. Molempien korvaaminen millä tahansa muulla merkkijonolla johtaa suurempaan merkkijonoon. Muussa tapauksessa, jos parillinen merkki ei ole piste, merkkijonopalindromin muodostamiseksi meidän on korvattava nykyinen merkki sen parimerkillä.
So in short If both 'i' and 'n- i- 1' are dot replace them by ‘a’ If one of them is a dot character replace that by other non-dot character
Yllä oleva menettely antaa meille leksikografisesti pienimmän palindromijonon.
Toteutus:
C++// C++ program to get lexicographically smallest // palindrome string #include
// Java program to get lexicographically // smallest palindrome string class GFG { // Utility method to check str is // possible palindrome after ignoring static boolean isPossiblePalindrome(char str[]) { int n = str.length; for (int i = 0; i < n / 2; i++) { /* If both left and right character are not dot and they are not equal also then it is not possible to make this string a palindrome */ if (str[i] != '.' && str[n - i - 1] != '.' && str[i] != str[n - i - 1]) return false; } return true; } // Returns lexicographically smallest // palindrome string if possible static void smallestPalindrome(char str[]) { if (!isPossiblePalindrome(str)) System.out.println('Not Possible'); int n = str.length; // loop through character of string for (int i = 0; i < n; i++) { if (str[i] == '.') { // if one of character is dot // replace dot with other character if (str[n - i - 1] != '.') str[i] = str[n - i - 1]; // if both character are dot // then replace them with // smallest character 'a' else str[i] = str[n - i - 1] = 'a'; } } // return the result for(int i = 0; i < n; i++) System.out.print(str[i] + ''); } // Driver code public static void main(String[] args) { String str = 'ab..e.c.a'; char[] s = str.toCharArray(); smallestPalindrome(s); } } // This code is contributed // by ChitraNayal
# Python 3 program to get lexicographically # smallest palindrome string # Utility method to check str is # possible palindrome after ignoring def isPossiblePalindrome(str): n = len(str) for i in range(n // 2): # If both left and right character # are not dot and they are not # equal also then it is not possible # to make this string a palindrome if (str[i] != '.' and str[n - i - 1] != '.' and str[i] != str[n - i - 1]): return False return True # Returns lexicographically smallest # palindrome string if possible def smallestPalindrome(str): if (not isPossiblePalindrome(str)): return 'Not Possible' n = len(str) str = list(str) # loop through character of string for i in range(n): if (str[i] == '.'): # if one of character is dot # replace dot with other character if (str[n - i - 1] != '.'): str[i] = str[n - i - 1] # if both character are dot # then replace them with # smallest character 'a' else: str[i] = str[n - i - 1] = 'a' # return the result return str # Driver code if __name__ == '__main__': str = 'ab..e.c.a' print(''.join(smallestPalindrome(str))) # This code is contributed by ChitraNayal
// C# program to get lexicographically // smallest palindrome string using System; public class GFG { // Utility method to check str is // possible palindrome after ignoring static bool isPossiblePalindrome(char []str) { int n = str.Length; for (int i = 0; i < n / 2; i++) { /* If both left and right character are not dot and they are not equal also then it is not possible to make this string a palindrome */ if (str[i] != '.' && str[n - i - 1] != '.' && str[i] != str[n - i - 1]) return false; } return true; } // Returns lexicographically smallest // palindrome string if possible static void smallestPalindrome(char []str) { if (!isPossiblePalindrome(str)) Console.WriteLine('Not Possible'); int n = str.Length; // loop through character of string for (int i = 0; i < n; i++) { if (str[i] == '.') { // if one of character is dot // replace dot with other character if (str[n - i - 1] != '.') str[i] = str[n - i - 1]; // if both character are dot // then replace them with // smallest character 'a' else str[i] = str[n - i - 1] = 'a'; } } // return the result for(int i = 0; i < n; i++) Console.Write(str[i] + ''); } // Driver code public static void Main() { String str = 'ab..e.c.a'; char[] s = str.ToCharArray(); smallestPalindrome(s); } } // This code is contributed by PrinciRaj1992
// PHP program to get lexicographically // smallest palindrome string // Utility method to check str is // possible palindrome after ignoring function isPossiblePalindrome($str) { $n = strlen($str); for ($i = 0; $i < $n / 2; $i++) { /* If both left and right character are not dot and they are not equal also then it is not possible to make this string a palindrome */ if ($str[$i] != '.' && $str[$n - $i - 1] != '.' && $str[$i] != $str[$n - $i - 1]) return false; } return true; } // Returns lexicographically smallest // palindrome string if possible function smallestPalindrome($str) { if (!isPossiblePalindrome($str)) return 'Not Possible'; $n = strlen($str); // loop through character of string for ($i= 0; $i < $n; $i++) { if ($str[$i] == '.') { // if one of character is dot // replace dot with other character if ($str[$n - $i - 1] != '.') $str[$i] = $str[$n - $i - 1]; // if both character are dot // then replace them with // smallest character 'a' else $str[$i] = $str[$n - $i - 1] = 'a'; } } // return the result return $str; } // Driver code $str = 'ab..e.c.a'; echo smallestPalindrome($str); // This code is contributed // by ChitraNayal ?> <script> // Javascript program to get lexicographically // smallest palindrome string // Utility method to check str is // possible palindrome after ignoring function isPossiblePalindrome(str) { let n = str.length; for (let i = 0; i < Math.floor(n / 2); i++) { /* If both left and right character are not dot and they are not equal also then it is not possible to make this string a palindrome */ if (str[i] != '.' && str[n - i - 1] != '.' && str[i] != str[n - i - 1]) return false; } return true; } // Returns lexicographically smallest // palindrome string if possible function smallestPalindrome(str) { if (!isPossiblePalindrome(str)) document.write('Not Possible'); let n = str.length; // loop through character of string for (let i = 0; i < n; i++) { if (str[i] == '.') { // if one of character is dot // replace dot with other character if (str[n - i - 1] != '.') str[i] = str[n - i - 1]; // if both character are dot // then replace them with // smallest character 'a' else str[i] = str[n - i - 1] = 'a'; } } // return the result for(let i = 0; i < n; i++) document.write(str[i] + ''); } // Driver code let str='ab..e.c.a'; let s = str.split(''); smallestPalindrome(s); // This code is contributed by rag2127 </script>
Lähtö
abcaeacba
Aika monimutkaisuus: O(n) missä n on merkkijonon pituus.
Aputilan monimutkaisuus: O(1)