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Find the final co-ordinates reached by following a sequence of directions

  • Last Updated : 12 Jul, 2021

Given a starting point with x and y co-ordinates SX and SY respectively, and a sequence ‘D’ denoting the directions to be followed, the task is to find the co-ordinate of the destination. The string D consists of characters S,N,W and E where [ S = South (move down one unit), N = North (move up one unit), W = West (move left one unit), E = East (move right one unit) ]
Examples
 

Input: SX = 2, SY = 3, D = “SEWW” 
Output: (1,2) 
Explanation: From the given point, it will be directed 
to S(2, 2)->E(3, 2)->W(2, 2)->W(1, 2). Therefore the final position is (1,2)
Input: SX = 2, SY = 2, D = “NSSE” 
Output: (3,1) 
 

 

Approach: Traverse through the string D and increment or decrement the co-ordinates SX and SY accordingly and print their final values.
Below is the implementation of the above approach:
 

C++




// C++ implementation of
// the above approach
 
#include<bits/stdc++.h>
using namespace std;
 
// Function to print the final position
// of the point after traversing through
// the given directions
void finalCoordinates(int SX, int SY, string D){
     
    // Traversing through the given directions
    for (int i = 0; i < D.length(); i++){
         
        // If its north or south the point
        // will move left or right
        if (D[i] == 'N')
            SY += 1;
        else if(D[i] == 'S')
            SY -= 1;
             
        // If its west or east the point
        // will move upwards or downwards
        else if(D[i] == 'E')
            SX += 1;
        else
            SX -= 1;
    }
         
    // Returning the final position
    string ans = '(' + to_string(SX) + ',' +
                     to_string(SY) + ')';
    cout<<ans<<endl;
}
     
// Driver Code
int main(){
     
    int SX = 2, SY = 2;
    string D = "NSSE";
     
    finalCoordinates(SX, SY, D);
 
}
// This code is contributed by Samarth

Java




// Java implementation of the above approach
import java.util.*;
 
class GFG{
 
// Function to print the final position
// of the point after traversing through
// the given directions
static void finalCoordinates(int SX, int SY,
                             char []D)
{
     
    // Traversing through the given directions
    for(int i = 0; i < D.length; i++)
    {
        
       // If its north or south the point
       // will move left or right
       if (D[i] == 'N')
           SY += 1;
       else if(D[i] == 'S')
           SY -= 1;
        
       // If its west or east the point
       // will move upwards or downwards
       else if(D[i] == 'E')
           SX += 1;
       else
           SX -= 1;
    }
         
    // Returning the final position
    String ans = '(' + String.valueOf(SX) + ',' +
                       String.valueOf(SY) + ')';
    System.out.print(ans);
}
     
// Driver Code
public static void main(String[] args)
{
    int SX = 2, SY = 2;
    String D = "NSSE";
     
    finalCoordinates(SX, SY, D.toCharArray());
}
}
 
// This code is contributed by gauravrajput1

Python3




# Python3 implementation of
# the above approach
 
# Function to print the final position
# of the point after traversing through
# the given directions
def finalCoordinates(SX, SY, D):
     
    # Traversing through the given directions
    for i in range (len(D)):
         
        # If its north or south the point
        # will move left or right
        if (D[i] == 'N'):
            SY += 1
        elif (D[i] == 'S'):
            SY -= 1
             
        # If its west or east the point
        # will move upwards or downwards
        elif (D[i] == 'E'):
            SX += 1
        else :
            SX -= 1
 
    # Returning the final position
    ans = '(' + str(SX) + ',' +  str(SY) + ')'
    print (ans)
     
# Driver Code
if __name__ == '__main__':
    SX, SY = 2,2 
    D = "NSSE"
     
    finalCoordinates(SX, SY, D)
     
 
# This code is contributed by parna_28

C#




// C# implementation of the above approach
using System;
 
class GFG{
 
// Function to print the readonly position
// of the point after traversing through
// the given directions
static void finalCoordinates(int SX, int SY,
                             char []D)
{
     
    // Traversing through the given directions
    for(int i = 0; i < D.Length; i++)
    {
        
       // If its north or south the point
       // will move left or right
       if (D[i] == 'N')
       {
           SY += 1;
       }
       else if(D[i] == 'S')
       {
           SY -= 1;
       }
        
       // If its west or east the point
       // will move upwards or downwards
       else if(D[i] == 'E')
       {
           SX += 1;
       }
       else
       {
           SX -= 1;
       }
    }
     
    // Returning the readonly position
    String ans = '(' + String.Join("", SX) + ',' +
                       String.Join("", SY) + ')';
    Console.Write(ans);
}
     
// Driver Code
public static void Main(String[] args)
{
    int SX = 2, SY = 2;
    String D = "NSSE";
     
    finalCoordinates(SX, SY, D.ToCharArray());
}
}
 
// This code is contributed by gauravrajput1

Javascript




<script>
 
// JavaScript implementation of the above approach
 
// Function to print the final position
// of the point after traversing through
// the given directions
function finalCoordinates(SX,SY,D)
{
    // Traversing through the given directions
    for(let i = 0; i < D.length; i++)
    {
          
       // If its north or south the point
       // will move left or right
       if (D[i] == 'N')
           SY += 1;
       else if(D[i] == 'S')
           SY -= 1;
          
       // If its west or east the point
       // will move upwards or downwards
       else if(D[i] == 'E')
           SX += 1;
       else
           SX -= 1;
    }
           
    // Returning the final position
    let ans = '(' + (SX).toString() + ',' +
                       (SY).toString() + ')';
    document.write(ans);
}
 
// Driver Code
let SX = 2, SY = 2;
let D = "NSSE";
 
finalCoordinates(SX, SY, D.split(""));
 
 
 
// This code is contributed by unknown2108
 
</script>
Output: 
(3,1)

 




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