Se spune că două șiruri sunt complete dacă la concatenare conțin toate cele 26 de alfabete engleze. De exemplu, „abcdefghi” și „jklmnopqrstuvwxyz” sunt complete, deoarece au împreună toate caracterele de la „a” la „z”.
10 ml este cât
Ni se oferă două seturi de dimensiuni n și, respectiv, m și trebuie să găsim numărul de perechi care sunt complete la concatenarea fiecărui șir din setul 1 la fiecare șir din setul 2.
Input : set1[] = {'abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc'} set2[] = {'ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz'} Output : 7 The total complete pairs that are forming are: 'abcdefghijklmnopqrstuvwxyz' 'abcdefghabcdefghijklmnopqrstuvwxyz' 'abcdefghdefghijklmnopqrstuvwxyz' 'geeksforgeeksabcdefghijklmnopqrstuvwxyz' 'lmnopqrstabcdefghijklmnopqrstuvwxyz' 'abcabcdefghijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' Metoda 1 (metoda naivă): O soluție simplă este să luați în considerare toate perechile de șiruri de caractere care le concatenează și apoi să verificați dacă șirul concatenat are toate caracterele de la „a” la „z” folosind o matrice de frecvență.
Implementare:
C++// C++ implementation for find pairs of complete // strings. #include using namespace std; // Returns count of complete pairs from set[0..n-1] // and set2[0..m-1] int countCompletePairs(string set1[] string set2[] int n int m) { int result = 0; // Consider all pairs of both strings for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { // Create a concatenation of current pair string concat = set1[i] + set2[j]; // Compute frequencies of all characters // in the concatenated string. int frequency[26] = { 0 }; for (int k = 0; k < concat.length(); k++) frequency[concat[k] - 'a']++; // If frequency of any character is not // greater than 0 then this pair is not // complete. int i; for (i = 0; i < 26; i++) if (frequency[i] < 1) break; if (i == 26) result++; } } return result; } // Driver code int main() { string set1[] = { 'abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc' }; string set2[] = { 'ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz' }; int n = sizeof(set1) / sizeof(set1[0]); int m = sizeof(set2) / sizeof(set2[0]); cout << countCompletePairs(set1 set2 n m); return 0; }
Java // Java implementation for find pairs of complete // strings. class GFG { // Returns count of complete pairs from set[0..n-1] // and set2[0..m-1] static int countCompletePairs(String set1[] String set2[] int n int m) { int result = 0; // Consider all pairs of both strings for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { // Create a concatenation of current pair String concat = set1[i] + set2[j]; // Compute frequencies of all characters // in the concatenated String. int frequency[] = new int[26]; for (int k = 0; k < concat.length(); k++) { frequency[concat.charAt(k) - 'a']++; } // If frequency of any character is not // greater than 0 then this pair is not // complete. int k; for (k = 0; k < 26; k++) { if (frequency[k] < 1) { break; } } if (k == 26) { result++; } } } return result; } // Driver code static public void main(String[] args) { String set1[] = { 'abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc' }; String set2[] = { 'ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz' }; int n = set1.length; int m = set2.length; System.out.println(countCompletePairs(set1 set2 n m)); } } // This code is contributed by PrinciRaj19992
Python3 # Python3 implementation for find pairs of complete # strings. # Returns count of complete pairs from set[0..n-1] # and set2[0..m-1] def countCompletePairs(set1set2nm): result = 0 # Consider all pairs of both strings for i in range(n): for j in range(m): # Create a concatenation of current pair concat = set1[i] + set2[j] # Compute frequencies of all characters # in the concatenated String. frequency = [0 for i in range(26)] for k in range(len(concat)): frequency[ord(concat[k]) - ord('a')] += 1 # If frequency of any character is not # greater than 0 then this pair is not # complete. k = 0 while(k<26): if (frequency[k] < 1): break k += 1 if (k == 26): result += 1 return result # Driver code set1=['abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc'] set2=['ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz'] n = len(set1) m = len(set2) print(countCompletePairs(set1 set2 n m)) # This code is contributed by shinjanpatra
C# // C# implementation for find pairs of complete // strings. using System; class GFG { // Returns count of complete pairs from set[0..n-1] // and set2[0..m-1] static int countCompletePairs(string[] set1 string[] set2 int n int m) { int result = 0; // Consider all pairs of both strings for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { // Create a concatenation of current pair string concat = set1[i] + set2[j]; // Compute frequencies of all characters // in the concatenated String. int[] frequency = new int[26]; for (int k = 0; k < concat.Length; k++) { frequency[concat[k] - 'a']++; } // If frequency of any character is not // greater than 0 then this pair is not // complete. int l; for (l = 0; l < 26; l++) { if (frequency[l] < 1) { break; } } if (l == 26) { result++; } } } return result; } // Driver code static public void Main() { string[] set1 = { 'abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc' }; string[] set2 = { 'ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz' }; int n = set1.Length; int m = set2.Length; Console.Write(countCompletePairs(set1 set2 n m)); } } // This article is contributed by Ita_c.
JavaScript <script> // Javascript implementation for find pairs of complete // strings. // Returns count of complete pairs from set[0..n-1] // and set2[0..m-1] function countCompletePairs(set1set2nm) { let result = 0; // Consider all pairs of both strings for (let i = 0; i < n; i++) { for (let j = 0; j < m; j++) { // Create a concatenation of current pair let concat = set1[i] + set2[j]; // Compute frequencies of all characters // in the concatenated String. let frequency = new Array(26); for(let i= 0;i<26;i++) { frequency[i]=0; } for (let k = 0; k < concat.length; k++) { frequency[concat[k].charCodeAt(0) - 'a'.charCodeAt(0)]++; } // If frequency of any character is not // greater than 0 then this pair is not // complete. let k; for (k = 0; k < 26; k++) { if (frequency[k] < 1) { break; } } if (k == 26) { result++; } } } return result; } // Driver code let set1=['abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc']; let set2=['ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz'] let n = set1.length; let m=set2.length; document.write(countCompletePairs(set1 set2 n m)); // This code is contributed by avanitrachhadiya2155 </script>
Ieșire
7
Complexitatea timpului: O(n * m * k)
Spațiu auxiliar: O(1)
Metoda 2 (metoda optimizată folosind manipularea biților): În această metodă comprimăm matricea de frecvențe într-un număr întreg. Atribuim fiecărui bit din acel număr întreg cu un caracter și îl setăm la 1 când este găsit caracterul. Efectuăm acest lucru pentru toate coardele din ambele seturi. În cele din urmă, comparăm doar cele două numere întregi din seturi și dacă la combinarea toți biții sunt setați, aceștia formează o pereche completă de șiruri.
Implementare:
încercați catch block în javaC++14
// C++ program to find count of complete pairs #include using namespace std; // Returns count of complete pairs from set[0..n-1] // and set2[0..m-1] int countCompletePairs(string set1[] string set2[] int n int m) { int result = 0; // con_s1[i] is going to store an integer whose // set bits represent presence/absence of characters // in string set1[i]. // Similarly con_s2[i] is going to store an integer // whose set bits represent presence/absence of // characters in string set2[i] int con_s1[n] con_s2[m]; // Process all strings in set1[] for (int i = 0; i < n; i++) { // initializing all bits to 0 con_s1[i] = 0; for (int j = 0; j < set1[i].length(); j++) { // Setting the ascii code of char s[i][j] // to 1 in the compressed integer. con_s1[i] = con_s1[i] | (1 << (set1[i][j] - 'a')); } } // Process all strings in set2[] for (int i = 0; i < m; i++) { // initializing all bits to 0 con_s2[i] = 0; for (int j = 0; j < set2[i].length(); j++) { // setting the ascii code of char s[i][j] // to 1 in the compressed integer. con_s2[i] = con_s2[i] | (1 << (set2[i][j] - 'a')); } } // assigning a variable whose all 26 (0..25) // bits are set to 1 long long complete = (1 << 26) - 1; // Now consider every pair of integer in con_s1[] // and con_s2[] and check if the pair is complete. for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { // if all bits are set the strings are // complete! if ((con_s1[i] | con_s2[j]) == complete) result++; } } return result; } // Driver code int main() { string set1[] = { 'abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc' }; string set2[] = { 'ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz' }; int n = sizeof(set1) / sizeof(set1[0]); int m = sizeof(set2) / sizeof(set2[0]); cout << countCompletePairs(set1 set2 n m); return 0; }
Java // Java program to find count of complete pairs class GFG { // Returns count of complete pairs from set[0..n-1] // and set2[0..m-1] static int countCompletePairs(String set1[] String set2[] int n int m) { int result = 0; // con_s1[i] is going to store an integer whose // set bits represent presence/absence of characters // in string set1[i]. // Similarly con_s2[i] is going to store an integer // whose set bits represent presence/absence of // characters in string set2[i] int[] con_s1 = new int[n]; int[] con_s2 = new int[m]; // Process all strings in set1[] for (int i = 0; i < n; i++) { // initializing all bits to 0 con_s1[i] = 0; for (int j = 0; j < set1[i].length(); j++) { // Setting the ascii code of char s[i][j] // to 1 in the compressed integer. con_s1[i] = con_s1[i] | (1 << (set1[i].charAt(j) - 'a')); } } // Process all strings in set2[] for (int i = 0; i < m; i++) { // initializing all bits to 0 con_s2[i] = 0; for (int j = 0; j < set2[i].length(); j++) { // setting the ascii code of char s[i][j] // to 1 in the compressed integer. con_s2[i] = con_s2[i] | (1 << (set2[i].charAt(j) - 'a')); } } // assigning a variable whose all 26 (0..25) // bits are set to 1 long complete = (1 << 26) - 1; // Now consider every pair of integer in con_s1[] // and con_s2[] and check if the pair is complete. for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { // if all bits are set the strings are // complete! if ((con_s1[i] | con_s2[j]) == complete) { result++; } } } return result; } // Driver code public static void main(String args[]) { String set1[] = { 'abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc' }; String set2[] = { 'ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz' }; int n = set1.length; int m = set2.length; System.out.println(countCompletePairs(set1 set2 n m)); } } // This code contributed by Rajput-Ji
C# // C# program to find count of complete pairs using System; class GFG { // Returns count of complete pairs from set[0..n-1] // and set2[0..m-1] static int countCompletePairs(String[] set1 String[] set2 int n int m) { int result = 0; // con_s1[i] is going to store an integer whose // set bits represent presence/absence of characters // in string set1[i]. // Similarly con_s2[i] is going to store an integer // whose set bits represent presence/absence of // characters in string set2[i] int[] con_s1 = new int[n]; int[] con_s2 = new int[m]; // Process all strings in set1[] for (int i = 0; i < n; i++) { // initializing all bits to 0 con_s1[i] = 0; for (int j = 0; j < set1[i].Length; j++) { // Setting the ascii code of char s[i][j] // to 1 in the compressed integer. con_s1[i] = con_s1[i] | (1 << (set1[i][j] - 'a')); } } // Process all strings in set2[] for (int i = 0; i < m; i++) { // initializing all bits to 0 con_s2[i] = 0; for (int j = 0; j < set2[i].Length; j++) { // setting the ascii code of char s[i][j] // to 1 in the compressed integer. con_s2[i] = con_s2[i] | (1 << (set2[i][j] - 'a')); } } // assigning a variable whose all 26 (0..25) // bits are set to 1 long complete = (1 << 26) - 1; // Now consider every pair of integer in con_s1[] // and con_s2[] and check if the pair is complete. for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { // if all bits are set the strings are // complete! if ((con_s1[i] | con_s2[j]) == complete) { result++; } } } return result; } // Driver code public static void Main(String[] args) { String[] set1 = { 'abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc' }; String[] set2 = { 'ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz' }; int n = set1.Length; int m = set2.Length; Console.WriteLine(countCompletePairs(set1 set2 n m)); } } // This code has been contributed by 29AjayKumar
Python3 # Python3 program to find count of complete pairs # Returns count of complete pairs from set[0..n-1] # and set2[0..m-1] def countCompletePairs(set1 set2 n m): result = 0 # con_s1[i] is going to store an integer whose # set bits represent presence/absence of characters # in set1[i]. # Similarly con_s2[i] is going to store an integer # whose set bits represent presence/absence of # characters in set2[i] con_s1 con_s2 = [0] * n [0] * m # Process all strings in set1[] for i in range(n): # initializing all bits to 0 con_s1[i] = 0 for j in range(len(set1[i])): # Setting the ascii code of char s[i][j] # to 1 in the compressed integer. con_s1[i] = con_s1[i] | (1 << (ord(set1[i][j]) - ord('a'))) # Process all strings in set2[] for i in range(m): # initializing all bits to 0 con_s2[i] = 0 for j in range(len(set2[i])): # setting the ascii code of char s[i][j] # to 1 in the compressed integer. con_s2[i] = con_s2[i] | (1 << (ord(set2[i][j]) - ord('a'))) # assigning a variable whose all 26 (0..25) # bits are set to 1 complete = (1 << 26) - 1 # Now consider every pair of integer in con_s1[] # and con_s2[] and check if the pair is complete. for i in range(n): for j in range(m): # if all bits are set the strings are # complete! if ((con_s1[i] | con_s2[j]) == complete): result += 1 return result # Driver code if __name__ == '__main__': set1 = ['abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc'] set2 = ['ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz'] n = len(set1) m = len(set2) print(countCompletePairs(set1 set2 n m)) # This code is contributed by mohit kumar 29
JavaScript <script> // Javascript program to find count of complete pairs // Returns count of complete pairs from set[0..n-1] // and set2[0..m-1] function countCompletePairs(set1set2nm) { let result = 0; // con_s1[i] is going to store an integer whose // set bits represent presence/absence of characters // in string set1[i]. // Similarly con_s2[i] is going to store an integer // whose set bits represent presence/absence of // characters in string set2[i] let con_s1 = new Array(n); let con_s2 = new Array(m); // Process all strings in set1[] for (let i = 0; i < n; i++) { // initializing all bits to 0 con_s1[i] = 0; for (let j = 0; j < set1[i].length; j++) { // Setting the ascii code of char s[i][j] // to 1 in the compressed integer. con_s1[i] = con_s1[i] | (1 << (set1[i][j].charCodeAt(0) - 'a'.charCodeAt(0))); } } // Process all strings in set2[] for (let i = 0; i < m; i++) { // initializing all bits to 0 con_s2[i] = 0; for (let j = 0; j < set2[i].length; j++) { // setting the ascii code of char s[i][j] // to 1 in the compressed integer. con_s2[i] = con_s2[i] | (1 << (set2[i][j].charCodeAt(0) - 'a'.charCodeAt(0))); } } // assigning a variable whose all 26 (0..25) // bits are set to 1 let complete = (1 << 26) - 1; // Now consider every pair of integer in con_s1[] // and con_s2[] and check if the pair is complete. for (let i = 0; i < n; i++) { for (let j = 0; j < m; j++) { // if all bits are set the strings are // complete! if ((con_s1[i] | con_s2[j]) == complete) { result++; } } } return result; } // Driver code let set1=['abcdefgh' 'geeksforgeeks' 'lmnopqrst' 'abc']; let set2=['ijklmnopqrstuvwxyz' 'abcdefghijklmnopqrstuvwxyz' 'defghijklmnopqrstuvwxyz' ] let n = set1.length; let m = set2.length; document.write(countCompletePairs(set1 set2 n m)); // This code is contributed by avanitrachhadiya2155 </script>
Ieșire
7
Complexitatea timpului: O(n*m) unde n este dimensiunea primului set și m este dimensiunea celui de-al doilea set.
Spațiu auxiliar: Pe)
Acest articol este contribuit de Rishabh Jain .