added shortest path problem

algorithms/CPlusPlus/Strings/shortest-distance.cpp

@@ -0,0 +1,100 @@
+/* given a long route containing N,S,E,W direction
+   find the shortest path to reach the location
+ sample input : S,N,N,N,E,W,E
+ Sample Output : N,N,E
+*/
+
+/* simply analyze the problem in the form of a graph and you are at the origin at (0,0)
+and x is east , -x is west , y is south , -y is north now if its south you will move on y 
+axis by one position and keep on doing as per the input once you reach destination you 
+will get a quadrant and your exact location supose you are at (2,-4) position  now you 
+know you have to move 2 position east and 4 position south to reach the destination  */
+
+
+#include <bits/stdc++.h>
+using namespace std;
+
+int main()
+{
+    char direction[1000];
+    cout << "Enter the direction in caps without space " << endl;
+    cin.getline(direction, 1000);
+
+    int x = 0;
+    int y = 0;
+
+    for (int i = 0; direction[i] != '\0'; i++)
+    {
+
+        switch (direction[i])
+        {
+
+        case 'E':
+            x++;
+            break;
+        case 'W':
+            x--;
+            break;
+        case 'N':
+            y++;
+            break;
+        case 'S':
+            y--;
+            break;
+        }
+    }
+
+    if (x >= 0 && y >= 0)
+    {
+        while (y--)
+        {
+            cout << "N"
+                 << " ";
+        }
+        while (x--)
+        {
+            cout << "E"
+                 << " ";
+        }
+    }
+
+    else if (x <= 0 && y <= 0)
+    {
+        while (x++)
+        {
+            cout << "E"
+                 << " ";
+        }
+        while (y++)
+        {
+            cout << "S"
+                 << " ";
+        }
+    }
+
+    else if (x <= 0 && y >= 0)
+    {
+        while (x++)
+        {
+            cout << "w"
+                 << " ";
+        }
+        while (y--)
+        {
+            cout << "N ";
+        }
+    }
+    else
+    {
+        while (x--)
+        {
+            cout << "E ";
+        }
+        while (y++)
+        {
+            cout << "S ";
+        }
+    }
+
+    return 0;
+}