Sort the strings based on the numbers of matchsticks required to represent them
Given an array arr[] of N strings, the task is to sort these strings according to the numbers of sticks required to represent them.
Examples:
Input: arr[] = { “123”, “ABC”, “88” }
Output: 123 88 ABC
Explanation:
Sticks required by each string are as follows:
123 -> 12 sticks
88 -> 14 sticks
ABC -> 17 sticksInput: arr[] = { “Beginner”, “FOR”, “w3wiki” }
Output: FOR Beginner w3wiki
Explanation:
Sticks required by each string are as follows:
FOR => 16 sticks
Beginner => 25 sticks
w3wiki => 66 sticks
Approach: The idea is to compute the number of sticks required by each string with the help of the counts of the sticks required for each character. Then, store the count of the sticks and the strings into an array of pairs. Finally, sort them according to the number of sticks required.
The figure below is shown with the count of sticks required to represent each character:
Below is the implementation of the above approach:
C++
// C++ implementation to sort the // strings with the number of // sticks required to represent them #include <bits/stdc++.h> using namespace std; // Stick[] stores the count // of sticks required to // represent the alphabets int sticks[] = { 6, 7, 4, 6, 5, 4, 6, 5, 2, 4, 4, 3, 6, 6, 6, 5, 7, 6, 5, 3, 5, 4, 6, 4, 3, 4 }; // Number[] stores the count // of sticks required to // represent the numerals int number[] = { 6, 2, 5, 5, 4, 5, 6, 3, 7, 6 }; // Function that return the count of // sticks required to represent // the given string str int countSticks(string str) { int cnt = 0; // Loop to iterate over every // character of the string for ( int i = 0; str[i]; i++) { char ch = str[i]; // Add the count of sticks // required to represent the // current character if (ch >= 'A' && ch <= 'Z' ) { cnt += sticks[ch - 'A' ]; } else { cnt += number[ch - '0' ]; } } return cnt; } // Function to sort the array // according to the number of // sticks required to represent it void sortArr(string arr[], int n) { // Vector to store the number // of sticks required with // respective strings vector<pair< int , string> > vp; // Inserting number of sticks // with respective strings for ( int i = 0; i < n; i++) { vp.push_back( make_pair(countSticks(arr[i]), arr[i])); } // Sort the vector, sort(vp.begin(), vp.end()); // Print the sorted vector for ( int i = 0; i < vp.size(); i++) cout << vp[i].second << " " ; } // Driver Code int main() { string arr[] = { "Beginner" , "FOR" , "w3wiki" }; int n = sizeof (arr) / sizeof (arr[0]); sortArr(arr, n); return 0; } |
Java
// Java implementation to sort the // strings with the number of // sticks required to represent them import java.io.*; import java.util.*; class GFG{ // Stick[] stores the count // of sticks required to // represent the alphabets static int sticks[] = { 6 , 7 , 4 , 6 , 5 , 4 , 6 , 5 , 2 , 4 , 4 , 3 , 6 , 6 , 6 , 5 , 7 , 6 , 5 , 3 , 5 , 4 , 6 , 4 , 3 , 4 }; // Number[] stores the count // of sticks required to // represent the numerals static int number[] = { 6 , 2 , 5 , 5 , 4 , 5 , 6 , 3 , 7 , 6 }; // Function that return the count of // sticks required to represent // the given string str static class Pair implements Comparable<Pair>{ int num_sticks; String str; Pair( int n, String s) { num_sticks = n; str=s; } public int compareTo(Pair p) { return this .num_sticks-p.num_sticks; } } static int countSticks(String str) { int cnt = 0 ; int n=str.length(); // Loop to iterate over every // character of the string for ( int i = 0 ; i < n; i++) { char ch = str.charAt(i); // Add the count of sticks // required to represent the // current character if (ch >= 'A' && ch <= 'Z' ) { cnt += sticks[ch - 'A' ]; } else { cnt += number[ch - '0' ]; } } return cnt; } // Function to sort the array // according to the number of // sticks required to represent it static void sortArr(String arr[], int n) { // ArrayList to store the number // of sticks required with // respective strings ArrayList<Pair> list = new ArrayList<>(); // Inserting number of sticks // with respective strings for ( int i = 0 ; i < n; i++) { list.add( new Pair(countSticks(arr[i]), arr[i])); } // Sort the list, Collections.sort(list); // Print the sorted vector for ( int i = 0 ; i < list.size(); i++) System.out.print(list.get(i).str + " " ); } // Driver Code public static void main(String []args) { String arr[] = { "Beginner" , "FOR" , "w3wiki" }; int n = arr.length; sortArr(arr, n); } } |
Python3
# Python3 implementation to sort the # strings with the number of # sticks required to represent them # Stick[] stores the count # of sticks required to # represent the alphabets sticks = [ 6 , 7 , 4 , 6 , 5 , 4 , 6 , 5 , 2 , 4 , 4 , 3 , 6 , 6 , 6 , 5 , 7 , 6 , 5 , 3 , 5 , 4 , 6 , 4 , 3 , 4 ] # Number[] stores the count # of sticks required to # represent the numerals number = [ 6 , 2 , 5 , 5 , 4 , 5 , 6 , 3 , 7 , 6 ] # Function that return the count of # sticks required to represent # the given string str def countSticks(st): cnt = 0 # Loop to iterate over every # character of the string for i in range ( len (st)): ch = st[i] # Add the count of sticks # required to represent the # current character if (ch > = 'A' and ch < = 'Z' ): cnt + = sticks[ ord (ch) - ord ( 'A' )] else : cnt + = number[ ord (ch ) - ord ( '0' )] return cnt # Function to sort the array # according to the number of # sticks required to represent it def sortArr(arr, n): # Vector to store the number # of sticks required with # respective strings vp = [] # Inserting number of sticks # with respective strings for i in range (n): vp.append([countSticks(arr[i]), arr[i]]) # Sort the vector vp.sort() # Print the sorted vector for i in range ( len (vp)): print (vp[i][ 1 ], end = " " ) # Driver Code if __name__ = = "__main__" : arr = [ "Beginner" , "FOR" , "w3wiki" ] n = len (arr) sortArr(arr, n) # This code is contributed by Chitranayal |
C#
using System; using System.Collections.Generic; namespace sticks { class Program { // Stick[] stores the count // of sticks required to // represent the alphabets public static int [] sticks = { 6, 7, 4, 6, 5, 4, 6, 5, 2, 4, 4, 3, 6, 6, 6, 5, 7, 6, 5, 3, 5, 4, 6, 4, 3, 4 }; // Number[] stores the count // of sticks required to // represent the numerals public static int [] number = { 6, 2, 5, 5, 4, 5, 6, 3, 7, 6 }; // Function that return the count of // sticks required to represent // the given string str public static int countSticks( string str) { int cnt = 0; // Loop to iterate over every // character of the string for ( int i = 0; i < str.Length; i++) { char ch = str[i]; // Add the count of sticks // required to represent the // current character if (ch >= 'A' && ch <= 'Z' ) { cnt += sticks[ch - 'A' ]; } else { cnt += number[ch - '0' ]; } } return cnt; } // Function to sort the array // according to the number of // sticks required to represent it public static void sortArr( string [] arr, int n) { // Vector to store the number // of sticks required with // respective strings List<KeyValuePair< int , string >> vp = new List<KeyValuePair< int , string >>(); // Inserting number of sticks // with respective strings for ( int i = 0; i < n; i++) { vp.Add( new KeyValuePair< int , string >(countSticks(arr[i]), arr[i])); } // Sort the vector, vp.Sort((x, y) => x.Key.CompareTo(y.Key)); // Print the sorted vector for ( int i = 0; i < vp.Count; i++) Console.Write($ "{vp[i].Value} " ); Console.WriteLine(); } static void Main( string [] args) { string [] arr = { "Beginner" , "FOR" , "w3wiki" }; int n = arr.Length; sortArr(arr, n); } } } // This code is contributed by ruchikabaslas |
Javascript
<script> // Javascript program // Stick[] stores the count // of sticks required to // represent the alphabets var sticks = [ 6, 7, 4, 6, 5, 4, 6, 5, 2, 4, 4, 3, 6, 6, 6, 5, 7, 6, 5, 3, 5, 4, 6, 4, 3, 4 ]; // Number[] stores the count // of sticks required to // represent the numerals var number = [ 6, 2, 5, 5, 4, 5, 6, 3, 7, 6 ]; // Function that return the count of // sticks required to represent // the given string str function countSticks(str) { var cnt = 0; var n=str.length; // Loop to iterate over every // character of the string for ( var i = 0; i < n; i++) { var ch = str[i]; // Add the count of sticks // required to represent the // current character if (ch >= 'A' && ch <= 'Z' ) { cnt += sticks[ch.charCodeAt(0) - 'A' .charCodeAt(0)]; } else { cnt += number[ch.charCodeAt(0) - '0' .charCodeAt(0)]; } } return cnt; } // Function to sort the array // according to the number of // sticks required to represent it function sortArr(arr, int) { // Vector to store the number // of sticks required with // respective strings var vp = new Array(n); // Inserting number of sticks // with respective strings for ( var i = 0; i < n; i++) { vp[i] = [countSticks(arr[i]), arr[i]]; } // Sort the vector, vp.sort(); // Print the sorted vector for ( var i = 0; i < n; i++) document.write(vp[i][1] + " " ); } var arr = [ "Beginner" , "FOR" , "w3wiki" ]; var n = arr.length; sortArr(arr, n); </script> |
FOR Beginner w3wiki
Time Complexity: O(N * log N)
Auxiliary space: O(N)
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