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Finden Sie die größte Anzahl mit gegebener Anzahl von Ziffern und Ziffernsumme

Probieren Sie es bei der GFG -Praxis aus Finden Sie die größte Anzahl mit gegebener Anzahl von Ziffern und Ziffernsumme' title= #PracticelinkDiv {Display: Keine! Wichtig; }

Eine Ganzzahl gegeben S Und D Die Aufgabe besteht darin, die größte Zahl mit gegebener Ziffernsumme zu finden S und die Anzahl der Ziffern D .

Beispiele:  



Eingang: S = 9 d = 2
Ausgabe: 90

c#-Schalter

Eingang: S = 20 d = 3
Ausgabe: 992

Empfohlene Praxis Größte Anzahl möglich Versuchen Sie es!

Naiver Ansatz:



Betrachten Sie alle M Ziffernzahlen und ein Max Variable, um die maximale Zahl mit zu speichern M -Ziffern und Ziffernsumme als S

Zeitkomplexität: O (10M).
Hilfsraum: O (1)

Ermitteln Sie die größte Anzahl mit der angegebenen Anzahl von Ziffern und der Summe der Ziffern Gieriger Ansatz  

Nachfolgend finden Sie die Idee, das Problem zu lösen:



Die Idee ist zu einem nach dem anderen alle Ziffern von links bis rechts zu vergleiche, die das vergleiche verbleibende Summe Mit 9, wenn die verbleibende Summe mehr als oder gleich 9 9 an der aktuellen Position ist, setzen Sie die verbleibende Summe. Da Ziffern von links nach rechts gefüllt werden, werden die höchsten Ziffern auf der linken Seite platziert, daher erhalten Sie die größte Zahl  Und .

Illustration: 

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Befolgen Sie die folgenden Schritte, um die Idee zu implementieren:

Gray-Code
  • Wenn s null ist 
    • Wenn M = 1 Druck 0
    • Sonst ist keine solche Zahl möglich.
  • Wenn s> 9*m dann ist keine solche Zahl möglich.
  • Führen Sie eine für Schleife aus 0 bis M-1
    • Wenn s> = 9 Subtrahieren Sie 9 von S und Print 9.
    • Sonst drucken s und set s auf 0 .

Nachfolgend finden Sie die Implementierung des obigen Ansatzes:

C++
// C++ program to find the largest number that can be // formed from given sum of digits and number of digits. #include    using namespace std; // Prints the smallest possible number with digit sum 's' // and 'm' number of digits. void findLargest(int m int s) {  // If sum of digits is 0 then a number is possible  // only if number of digits is 1.  if (s == 0) {  (m == 1) ? cout << 'Largest number is ' << 0  : cout << 'Not possible';  return;  }  // Sum greater than the maximum possible sum.  if (s > 9 * m) {  cout << 'Not possible';  return;  }  // Create an array to store digits of result  int res[m];  // Fill from most significant digit to least  // significant digit.  for (int i = 0; i < m; i++) {  // Fill 9 first to make the number largest  if (s >= 9) {  res[i] = 9;  s -= 9;  }  // If remaining sum becomes less than 9 then  // fill the remaining sum  else {  res[i] = s;  s = 0;  }  }  cout << 'Largest number is ';  for (int i = 0; i < m; i++)  cout << res[i]; } // Driver code int main() {  int s = 9 m = 2;  findLargest(m s);  return 0; } 
C
// C program to find the largest number that can be // formed from given sum of digits and number of digits. #include  // Prints the smallest possible number with digit sum 's' // and 'm' number of digits. void findLargest(int m int s) {  // If sum of digits is 0 then a number is possible  // only if number of digits is 1.  if (s == 0) {  (m == 1) ? printf('Largest number is 0')  : printf('Not possible');  return;  }  // Sum greater than the maximum possible sum.  if (s > 9 * m) {  printf('Not possible');  return;  }  // Create an array to store digits of result  int res[m];  // Fill from most significant digit to least  // significant digit.  for (int i = 0; i < m; i++) {  // Fill 9 first to make the number largest  if (s >= 9) {  res[i] = 9;  s -= 9;  }  // If remaining sum becomes less than 9 then  // fill the remaining sum  else {  res[i] = s;  s = 0;  }  }  printf('Largest number is ');  for (int i = 0; i < m; i++)  printf('%d' res[i]); } // Driver code int main() {  int s = 9 m = 2;  findLargest(m s);  return 0; } // This code is contributed by Sania Kumari Gupta 
Java
// Java program to find the largest number that can be // formed from given sum of digits and number of digits class GFG  {  // Function to print the largest possible number with digit sum 's'  // and 'm' number of digits  static void findLargest(int m int s)  {  // If sum of digits is 0 then a number is possible  // only if number of digits is 1  if (s == 0)  {  System.out.print(m == 1 ? 'Largest number is 0' : 'Not possible');     return ;  }    // Sum greater than the maximum possible sum  if (s > 9*m)  {  System.out.println('Not possible');  return ;  }    // Create an array to store digits of result  int[] res = new int[m];    // Fill from most significant digit to least  // significant digit  for (int i=0; i<m; i++)  {  // Fill 9 first to make the number largest  if (s >= 9)  {  res[i] = 9;  s -= 9;  }    // If remaining sum becomes less than 9 then  // fill the remaining sum  else  {  res[i] = s;  s = 0;  }  }    System.out.print('Largest number is ');  for (int i=0; i<m; i++)  System.out.print(res[i]);  }    // driver program  public static void main (String[] args)   {  int s = 9 m = 2;  findLargest(m s);  } } // Contributed by Pramod Kumar 
Python3
# Python 3 program to find # the largest number that  # can be formed from given # sum of digits and number # of digits. # Prints the smallest  # possible number with digit  # sum 's' and 'm' number of # digits. def findLargest( m s) : # If sum of digits is 0 # then a number is possible # only if number of digits # is 1. if (s == 0) : if(m == 1) : print('Largest number is '  '0'end = '') else : print('Not possible'end = '') return # Sum greater than the  # maximum possible sum. if (s > 9 * m) : print('Not possible'end = '') return # Create an array to  # store digits of # result res = [0] * m # Fill from most significant # digit to least significant # digit. for i in range(0 m) : # Fill 9 first to make # the number largest if (s >= 9) : res[i] = 9 s = s - 9 # If remaining sum  # becomes less than  # 9 then fill the  # remaining sum else : res[i] = s s = 0 print( 'Largest number is 'end = '') for i in range(0 m) : print(res[i]end = '') # Driver code s = 9 m = 2 findLargest(m s) # This code is contributed by Nikita Tiwari. 
C#
// C# program to find the  // largest number that can  // be formed from given sum  // of digits and number of digits using System; class GFG {    // Function to print the   // largest possible number   // with digit sum 's' and   // 'm' number of digits  static void findLargest(int m int s)  {  // If sum of digits is 0   // then a number is possible   // only if number of digits is 1  if (s == 0)  {  Console.Write(m == 1 ?   'Largest number is 0' :   'Not possible');     return ;  }  // Sum greater than the  // maximum possible sum  if (s > 9 * m)  {  Console.WriteLine('Not possible');  return ;  }  // Create an array to   // store digits of result  int []res = new int[m];  // Fill from most significant   // digit to least significant digit  for (int i = 0; i < m; i++)  {  // Fill 9 first to make  // the number largest  if (s >= 9)  {  res[i] = 9;  s -= 9;  }  // If remaining sum becomes   // less than 9 then  // fill the remaining sum  else  {  res[i] = s;  s = 0;  }  }  Console.Write('Largest number is ');  for (int i = 0; i < m; i++)  Console.Write(res[i]);  }    // Driver Code  static public void Main ()  {  int s = 9 m = 2;  findLargest(m s);  } } // This code is Contributed by ajit 
PHP
 // PHP program to find the largest  // number that can be formed from  // given sum of digits and number  // of digits. // Prints the smallest possible  // number with digit sum 's'  // and 'm' number of digits. function findLargest($m $s) { // If sum of digits is 0 then  // a number is possible only if // number of digits is 1. if ($s == 0) { if(($m == 1) == true) echo 'Largest number is '  0; else echo 'Not possible'; return ; } // Sum greater than the // maximum possible sum. if ($s > 9 * $m) { echo 'Not possible'; return ; } // Create an array to store  // digits of result Fill from  // most significant digit to  // least significant digit. for ($i = 0; $i < $m; $i++) { // Fill 9 first to make // the number largest if ($s >= 9) { $res[$i] = 9; $s -= 9; } // If remaining sum becomes  // less than 9 then fill  // the remaining sum else { $res[$i] = $s; $s = 0; } } echo 'Largest number is '; for ($i = 0; $i < $m; $i++) echo $res[$i]; } // Driver code $s = 9; $m = 2; findLargest($m $s); // This code is contributed by m_kit  ?> 
JavaScript
<script> // Javascript program to find the largest number that can be // formed from given sum of digits and number of digits. // Prints the smallest possible number with digit sum 's' // and 'm' number of digits. function findLargest(m s) {  // If sum of digits is 0 then a number is possible  // only if number of digits is 1.  if (s == 0)  {  (m == 1)? document.write('Largest number is ' + 0)  : document.write('Not possible');  return ;  }  // Sum greater than the maximum possible sum.  if (s > 9*m)  {  document.write('Not possible');  return ;  }  // Create an array to store digits of result  let res = new Array(m);  // Fill from most significant digit to least  // significant digit.  for (let i=0; i<m; i++)  {  // Fill 9 first to make the number largest  if (s >= 9)  {  res[i] = 9;  s -= 9;  }  // If remaining sum becomes less than 9 then  // fill the remaining sum  else  {  res[i] = s;  s = 0;  }  }  document.write('Largest number is ');  for (let i=0; i<m; i++)  document.write(res[i]); } // Driver code  let s = 9 m = 2;  findLargest(m s); // This code is contributed by Mayank Tyagi </script> 

Ausgabe
Largest number is 90

Zeitkomplexität dieser Lösung ist o (m).
Hilfsraum: O (m) wobei m die gegebene Ganzzahl ist.

Ansatz: Gieriger Algorithmus

  • Erstellen Sie eine leere Zeichenfolge, um das Ergebnis zu speichern
  • Wenn d 1 an das Ergebnis angehängt ist und es zurückgibt und es zurückgibt
  • Schleife von der linken Ziffer bis zur rechten Ziffer
    A. Wenn die verbleibende Summe der Ziffern größer oder gleich 9 ist, wenden Sie 9 an das Ergebnis an und subtrahieren Sie 9 von der verbleibenden Summe der Ziffern
    B. Wenn die verbleibende Summe der Ziffern weniger als 9 beträgt
  • Geben Sie das Ergebnis zurück
C++
#include    #include  using namespace std; int largest_number(int s int d) {  if (s == 0) {  return 0;  }  if (s > 9 * d) {  return -1;  }  string result = '';  for (int i = 0; i < d; i++) {  if (s >= 9) {  result += '9';  s -= 9;  } else {  result += to_string(s);  s = 0;  }  if (s == 0 && i < d-1) {  result += string(d-i-1 '0');  break;  }  }  return stoi(result); } int main() {  // Test case 1  cout << largest_number(9 2) << endl; // Output: 90  // Test case 2  cout << largest_number(20 3) << endl; // Output: 992  return 0; } 
Java
import java.util.*; public class Main {  public static int largest_number(int s int d)  {  // If s is 0 then the largest number is 0.  if (s == 0) {  return 0;  }  // If s is greater than 9 times d then it is  // impossible to form a d-digit number whose sum of  // digits is s.  if (s > 9 * d) {  return -1;  }  // Initialize an empty string to store the result.  String result = '';  // Loop through each digit of the number.  for (int i = 0; i < d; i++) {  // If s is greater than or equal to 9 then add  // 9 to the result and subtract 9 from s.  if (s >= 9) {  result += '9';  s -= 9;  }  // Otherwise add s to the result and set s to  // 0.  else {  result += Integer.toString(s);  s = 0;  }  // If s is 0 and there are still digits left to  // fill then fill the remaining digits with 0s  // and break out of the loop.  if (s == 0 && i < d - 1) {  result += String.join(  ''  Collections.nCopies(d - i - 1 '0'));  break;  }  }  // Convert the result to an integer and return it.  return Integer.parseInt(result);  }  public static void main(String[] args)  {  // Test case 1  System.out.println(  largest_number(9 2)); // Output: 90  // Test case 2  System.out.println(  largest_number(20 3)); // Output: 992  } } 
Python3
def largest_number(s d): if s == 0: return 0 if s > 9 * d: return -1 result = '' for i in range(d): if s >= 9: result += '9' s -= 9 else: result += str(s) s = 0 if s == 0 and i < d-1: result += '0' * (d-i-1) break return int(result) # Test case 1 print(largest_number(9 2)) # Output: 90 # Test case 2 print(largest_number(20 3)) # Output: 992 
C#
using System; class Program {  static int LargestNumber(int s int d) {  if (s == 0) {  return 0;  }  if (s > 9 * d) {  return -1;  }  string result = '';  for (int i = 0; i < d; i++) {  if (s >= 9) {  result += '9';  s -= 9;  } else {  result += s.ToString();  s = 0;  }  if (s == 0 && i < d - 1) {  result += new string('0' d - i - 1);  break;  }  }  return int.Parse(result);  }  static void Main(string[] args) {  // Test case 1  Console.WriteLine(LargestNumber(9 2)); // Output: 90  // Test case 2  Console.WriteLine(LargestNumber(20 3)); // Output: 992  } } 
JavaScript
function largestNumber(s d) { if (s == 0) { return 0; } if (s > 9 * d) { return -1; } let result = ''; for (let i = 0; i < d; i++) { if (s >= 9) { result += '9'; s -= 9; } else { result += s.toString(); s = 0; } if (s == 0 && i < d - 1) { result += '0'.repeat(d - i - 1); break; } } return parseInt(result); } // Test cases console.log(largestNumber(9 2)); // Output: 90 console.log(largestNumber(20 3)); // Output: 992 

Ausgabe
90 992

Zeitkomplexität: O (d)
Hilfsraum: O (d)