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إضافة عناصر من صفائف معينة مع قيود معينة

بالنظر إلى صفيفين صحيحين، قم بإضافة عناصرهما إلى الصفيف الثالث من خلال استيفاء القيود التالية - 

  1. يجب أن تتم الإضافة بدءًا من الفهرس 0 لكلا المصفوفتين. 
  2. قم بتقسيم المجموع إذا لم يكن رقمًا واحدًا وقم بتخزين الأرقام في مواقع مجاورة في صفيف الإخراج. 
  3. يجب أن تستوعب مجموعة الإخراج أي أرقام متبقية من مجموعة إدخال أكبر.

أمثلة:  



  Input:    a = [9 2 3 7 9 6] b = [3 1 4 7 8 7 6 9]   Output:    [1 2 3 7 1 4 1 7 1 3 6 9]   Input:    a = [9343 2 3 7 9 6] b = [34 11 4 7 8 7 6 99]   Output:    [9 3 7 7 1 3 7 1 4 1 7 1 3 6 9 9]   Input:    a = [] b = [11 2 3 ]   Output:    [1 1 2 3 ]   Input:    a = [9 8 7 6 5 4 3 2 1] b = [1 2 3 4 5 6 7 8 9]   Output:    [1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0]

مستوى الصعوبة: مبتدئ

الفكرة بسيطة جدا. نحافظ على مصفوفة الإخراج ونقوم بتشغيل حلقة من الفهرس الصفري لكلا المصفوفتين. لكل تكرار للحلقة، نأخذ في الاعتبار العناصر التالية في كلا المصفوفتين ونضيفها. إذا كان المجموع أكبر من 9، فإننا ندفع الأرقام الفردية للمجموع إلى مصفوفة الإخراج وإلا فإننا ندفع المجموع نفسه. أخيرًا ندفع العناصر المتبقية من مصفوفة الإدخال الأكبر إلى مصفوفة الإخراج.

وفيما يلي تنفيذ الفكرة المذكورة أعلاه: 



برنامج التغليف
C++
// C++ program to add two arrays following given // constraints #include   using namespace std; // Function to push individual digits of a number // to output vector from left to right void split(int num vector<int> &out) {  vector<int> arr;  while (num)  {  arr.push_back(num%10);  num = num/10;  }  // reverse the vector arr and append it to output vector  out.insert(out.end() arr.rbegin() arr.rend()); } // Function to add two arrays keeping given // constraints void addArrays(int arr1[] int arr2[] int m int n) {  // create a vector to store output  vector<int> out;  // maintain a variable to store current index in  // both arrays  int i = 0;  // loop till arr1 or arr2 runs out  while (i < m && i < n)  {  // read next elements from both arrays and  // add them  int sum = arr1[i] + arr2[i];  // if sum is single digit number  if (sum < 10)  out.push_back(sum);  else  {  // if sum is not a single digit number push  // individual digits to output vector  split(sum out);  }  // increment to next index  i++;  }  // push remaining elements of first input array  // (if any) to output vector  while (i < m)  split(arr1[i++] out);  // push remaining elements of second input array  // (if any) to output vector  while (i < n)  split(arr2[i++] out);  // print the output vector  for (int x : out)  cout << x << ' '; } // Driver code int main() {  int arr1[] = {9343 2 3 7 9 6};  int arr2[] = {34 11 4 7 8 7 6 99};  int m = sizeof(arr1) / sizeof(arr1[0]);  int n = sizeof(arr2) / sizeof(arr2[0]);  addArrays(arr1 arr2 m n);  return 0; } 
Java
// Java program to add two arrays following given  // constraints  import java.util.Vector; class GFG {  // Function to push individual digits of a number  // to output vector from left to right  static void split(int num Vector<Integer> out)   {  Vector<Integer> arr = new Vector<>();  while (num > 0)  {  arr.add(num % 10);  num /= 10;  }  // reverse the vector arr and  // append it to output vector  for (int i = arr.size() - 1; i >= 0; i--)  out.add(arr.elementAt(i));  }  // Function to add two arrays keeping given  // constraints  static void addArrays(int[] arr1 int[] arr2  int m int n)   {  // create a vector to store output  Vector<Integer> out = new Vector<>();  // maintain a variable to store  // current index in both arrays  int i = 0;  // loop till arr1 or arr2 runs out  while (i < m && i < n)   {  // read next elements from both arrays   // and add them  int sum = arr1[i] + arr2[i];  // if sum is single digit number  if (sum < 10)  out.add(sum);  else  // if sum is not a single digit number   // push individual digits to output vector  split(sum out);  // increment to next index  i++;  }  // push remaining elements of first input array  // (if any) to output vector  while (i < m)  split(arr1[i++] out);  // push remaining elements of second input array  // (if any) to output vector  while (i < n)  split(arr2[i++] out);  // print the output vector  for (int x : out)  System.out.print(x + ' ');  }  // Driver Code  public static void main(String[] args)   {  int[] arr1 = { 9343 2 3 7 9 6 };  int[] arr2 = { 34 11 4 7 8 7 6 99 };  int m = arr1.length;  int n = arr2.length;  addArrays(arr1 arr2 m n);  } } // This code is contributed by // sanjeev2552 
Python3
# Python program to add two arrays # following given constraints # Function to push individual digits  # of a number to output list from # left to right def split(num out): arr = [] while num: arr.append(num % 10) num = num // 10 for i in range(len(arr) - 1 -1 -1): out.append(arr[i]) # Function to add two arrays keeping given # constraints def add_arrays(arr1 arr2 m n): # Create a list to store output out = [] # Maintain a variable to store  # current index in both arrays i = 0 # Loop till arr1 or arr2 runs out while i < m and i < n: # Read next elements from both  # arrays and add them sum = arr1[i] + arr2[i] # If sum is single digit number if sum < 10: out.append(sum) else: # If sum is not a single digit  # number push individual digits # to output list split(sum out) # Increment to next index i += 1 # Push remaining elements of first  # input array (if any) to output list while i < m: split(arr1[i] out) i += 1 # Push remaining elements of second # input array (if any) to output list while i < n: split(arr2[i] out) i += 1 # Print the output list for x in out: print(x end = ' ') # Driver code arr1 = [9343 2 3 7 9 6] arr2 = [34 11 4 7 8 7 6 99] m = len(arr1) n = len(arr2) add_arrays(arr1 arr2 m n) # This code is contributed by akashish__ 
C#
// C# program to add two arrays following given  // constraints  using System; using System.Collections.Generic; class GFG  {   // Function to push individual digits of a number   // to output vector from left to right   static void split(int num List<int> outs)   {   List<int> arr = new List<int>();   while (num > 0)   {   arr.Add(num % 10);   num /= 10;   }   // reverse the vector arr and   // append it to output vector   for (int i = arr.Count - 1; i >= 0; i--)   outs.Add(arr[i]);   }   // Function to add two arrays keeping given   // constraints   static void addArrays(int[] arr1 int[] arr2   int m int n)   {   // create a vector to store output   List<int> outs = new List<int>();   // maintain a variable to store   // current index in both arrays   int i = 0;   // loop till arr1 or arr2 runs out   while (i < m && i < n)   {   // read next elements from both arrays   // and add them   int sum = arr1[i] + arr2[i];   // if sum is single digit number   if (sum < 10)   outs.Add(sum);   else  // if sum is not a single digit number   // push individual digits to output vector   split(sum outs);   // increment to next index   i++;   }   // push remaining elements of first input array   // (if any) to output vector   while (i < m)   split(arr1[i++] outs);   // push remaining elements of second input array   // (if any) to output vector   while (i < n)   split(arr2[i++] outs);   // print the output vector   foreach (int x in outs)   Console.Write(x + ' ');   }   // Driver Code   public static void Main(String[] args)   {   int[] arr1 = { 9343 2 3 7 9 6 };   int[] arr2 = { 34 11 4 7 8 7 6 99 };   int m = arr1.Length;   int n = arr2.Length;   addArrays(arr1 arr2 m n);   }  }  // This code is contributed by PrinciRaj1992 
JavaScript
<script> // Javascript program to add two arrays // following given constraints // Function to push individual digits  // of a number to output vector from // left to right function split(num out) {  let arr = [];  while (num)   {  arr.push(num % 10);  num = Math.floor(num / 10);  }  for(let i = arr.length - 1; i >= 0; i--)  out.push(arr[i]); } // Function to add two arrays keeping given // constraints function addArrays(arr1 arr2 m n)  {    // Create a vector to store output  let out = [];  // Maintain a variable to store   // current index in both arrays  let i = 0;  // Loop till arr1 or arr2 runs out  while (i < m && i < n)  {    // Read next elements from both   // arrays and add them  let sum = arr1[i] + arr2[i];  // If sum is single digit number  if (sum < 10)  out.push(sum);  else   {    // If sum is not a single digit   // number push individual digits  // to output vector  split(sum out);  }  // Increment to next index  i++;  }    // Push remaining elements of first   // input array (if any) to output vector  while (i < m)  split(arr1[i++] out);  // Push remaining elements of second  // input array (if any) to output vector  while (i < n)  split(arr2[i++] out);  // Print the output vector  for(let x of out)  document.write(x + ' '); } // Driver code let arr1 = [ 9343 2 3 7 9 6 ]; let arr2 = [ 34 11 4 7 8 7 6 99 ]; let m = arr1.length; let n = arr2.length; addArrays(arr1 arr2 m n); // This code is contributed by _saurabh_jaiswal </script> 

الإخراج
9 3 7 7 1 3 7 1 4 1 7 1 3 6 9 9 


تعقيد الوقت الحل أعلاه هو O(m + n) حيث أننا نجتاز كلا المصفوفتين مرة واحدة بالضبط.

الطريقة الثانية (باستخدام String وSTL):

في هذا النهج سوف نأخذ سلسلة واحدة تسمى "الإجابة". عندما نضيف عنصر كلا المصفوفتين، سيتم تحويل المجموع الناتج إلى سلسلة وسيتم إلحاق هذه السلسلة بالسلسلة الرئيسية "ans".



بعد القيام بذلك لجميع العناصر، سنأخذ متجهًا واحدًا وننقل السلسلة بأكملها إلى ذلك المتجه وفي النهاية سنطبع هذا المتجه.

فيما يلي تنفيذ النهج أعلاه:

C++
// C++ program to add two arrays // following given constrains #include    using namespace std; // function to add two arrays // following given constrains void creat_new(int arr1[] int arr2[] int n int m) {  string ans;  int i = 0;  while (i < min(n m)) {  // adding the elements  int sum = arr1[i] + arr2[i];  // converting the integer to string  string s = to_string(sum);  // appending the string  ans += s;  i++;  }  // entering remaining element(if any) of  // first array  for (int j = i; j < n; j++) {  string s = to_string(arr1[j]);  ans += s;  }  // entering remaining element (if any) of  // second array  for (int j = i; j < m; j++) {  string s = to_string(arr2[j]);  ans += s;  }  // taking vector  vector<int> k;  // assigning the elements of string  // to vector  for (int i = 0; i < ans.length(); i++) {  k.push_back(ans[i] - '0');  }  // printing the elements of vector  for (int i = 0; i < k.size(); i++) {  cout << k[i] << ' ';  } } // driver code int main() {  int arr1[] = { 9 2 3 7 9 6 };  int arr2[] = { 3 1 4 7 8 7 6 9 };  int n = sizeof(arr1) / sizeof(arr1[0]);  int m = sizeof(arr2) / sizeof(arr2[0]);  // function call  creat_new(arr1 arr2 n m);  return 0; } // this code is contributed by Machhaliya Muhammad 
Java
/*package whatever //do not write package name here */ import java.util.*; class GFG {  // function to add two arrays  // following given constrains  static void creat_new(int arr1[] int arr2[] int n  int m)  {  String ans = '';  int i = 0;  while (i < Math.min(n m))   {  // adding the elements  int sum = arr1[i] + arr2[i];  // converting the integer to string  String s = sum + '';  // appending the string  ans += s;  i++;  }  // entering remaining element(if any) of  // first array  for (int j = i; j < n; j++) {  String s = arr1[j] + '';  ans += s;  }  // entering remaining element (if any) of  // second array  for (int j = i; j < m; j++) {  String s = arr2[j] + '';  ans += s;  }  // taking vector  ArrayList<Integer> k = new ArrayList<>();  // assigning the elements of string  // to vector  for (int j = 0; j < ans.length(); j++) {  k.add(ans.charAt(j) - '0');  }  // printing the elements of vector  for (int j = 0; j < k.size(); j++) {  System.out.print(k.get(j) + ' ');  }  }  public static void main(String[] args)  {  int arr1[] = { 9 2 3 7 9 6 };  int arr2[] = { 3 1 4 7 8 7 6 9 };  int n = arr1.length;  int m = arr2.length;  // function call  creat_new(arr1 arr2 n m);  } } // This code is contributed by aadityaburujwale. 
Python3
import math class GFG : # function to add two arrays # following given constrains @staticmethod def creat_new( arr1 arr2 n m) : ans = '' i = 0 while (i < min(nm)) : # adding the elements sum = arr1[i] + arr2[i] # converting the integer to string s = str(sum) + '' # appending the string ans += s i += 1 # entering remaining element(if any) of # first array j = i while (j < n) : s = str(arr1[j]) + '' ans += s j += 1 # entering remaining element (if any) of # second array j = i while (j < m) : s = str(arr2[j]) + '' ans += s j += 1 # taking vector k = [] # assigning the elements of string # to vector j = 0 while (j < len(ans)) : k.append(ord(ans[j]) - ord('0')) j += 1 # printing the elements of vector j = 0 while (j < len(k)) : print(k[j]end=' ') j += 1 @staticmethod def main( args) : arr1 = [9 2 3 7 9 6] arr2 = [3 1 4 7 8 7 6 9] n = len(arr1) m = len(arr2) # function call GFG.creat_new(arr1 arr2 n m) if __name__=='__main__': GFG.main([]) # This code is contributed by aadityaburujwale. 
C#
// Include namespace system using System; using System.Collections.Generic; public class GFG {  // function to add two arrays  // following given constrains  public static void creat_new(int[] arr1 int[] arr2 int n int m)  {  var ans = '';  var i = 0;  while (i < Math.Min(nm))  {  // adding the elements  var sum = arr1[i] + arr2[i];  // converting the integer to string  var s = sum.ToString() + '';  // appending the string  ans += s;  i++;  }  // entering remaining element(if any) of  // first array  for (int j = i; j < n; j++)  {  var s = arr1[j].ToString() + '';  ans += s;  }  // entering remaining element (if any) of  // second array  for (int j = i; j < m; j++)  {  var s = arr2[j].ToString() + '';  ans += s;  }  // taking vector  var k = new List<int>();  // assigning the elements of string  // to vector  for (int j = 0; j < ans.Length; j++)  {  k.Add((int)(ans[j]) - (int)('0'));  }  // printing the elements of vector  for (int j = 0; j < k.Count; j++)  {  Console.Write(k[j] + ' ');  }  }  public static void Main(String[] args)  {  int[] arr1 = {9 2 3 7 9 6};  int[] arr2 = {3 1 4 7 8 7 6 9};  var n = arr1.Length;  var m = arr2.Length;  // function call  GFG.creat_new(arr1 arr2 n m);  } } // This code is contributed by aadityaburujwale. 
JavaScript
// JavaScript Code // function to add two arrays // following given constrains const creat_new = (arr1 arr2 n m) => {  let ans = '';  let i = 0;  while (i < Math.min(n m))   {    // adding the elements  let sum = arr1[i] + arr2[i];    // converting the integer to string  let s = sum.toString();    // appending the string  ans += s;  i++;  }    // entering remaining element(if any) of  // first array  for (let j = i; j < n; j++) {  let s = arr1[j].toString();  ans += s;  }    // entering remaining element (if any) of  // second array  for (let j = i; j < m; j++) {  let s = arr2[j].toString();  ans += s;  }    // taking vector  let k = [];    // assigning the elements of string  // to vector  for (let i = 0; i < ans.length; i++) {  k.push(parseInt(ans[i]));  }    // printing the elements of vector  console.log(k); } // Driver code let arr1 = [9 2 3 7 9 6]; let arr2 = [3 1 4 7 8 7 6 9]; let n = arr1.length; let m = arr2.length; // function call creat_new(arr1 arr2 n m); // This code is contributed by akashish__ 

الإخراج
1 2 3 7 1 4 1 7 1 3 6 9 

تعقيد الوقت: يا (الحد الأقصى (مليون))

أشجار AVL

المساحة المساعدة: O(m+n) منذ أن يتم إنشاء المتجه k (بالحجم m+n في أسوأ الحالات).