Print shortest path to print a string on screen - GeeksforGeeks
Given a screen containing alphabets from A-Z, we can go from one character to another characters using a remote. The remote contains left, right, top and bottom keys.
Read full article from Print shortest path to print a string on screen - GeeksforGeeks
Given a screen containing alphabets from A-Z, we can go from one character to another characters using a remote. The remote contains left, right, top and bottom keys.
Find shortest possible path to type all characters of given string using the remote. Initial position is top left and all characters of input string should be printed in order.
Screen:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The idea is to consider screen as 2D-matrix of characters. Then we consider all characters of given string one by one and print out the shortest path between current character and next character in the matrix. In order to find shortest path, we consider the coordinates of current character and next character in the matrix. Based on the difference between x and y values of current and next character’s coordinates, we move left, right, top or bottom. i.e.
If row difference is negative, we move up If row difference is positive, we move down If column difference is negative, we go left If column difference is positive, we go right
void
printPath(string str)
{
int
i = 0;
// start from charcater 'A' present at position (0, 0)
int
curX = 0, curY = 0;
while
(i < str.length())
{
// find cordinates of next character
int
nextX = (str[i] -
'A'
) / 5;
int
nextY = (str[i] -
'B'
+ 1) % 5;
// Move Up if destination is above
while
(curX > nextX)
{
cout <<
"Move Up"
<< endl;
curX--;
}
// Move Left if destination is to the left
while
(curY > nextY)
{
cout <<
"Move Left"
<< endl;
curY--;
}
// Move down if destination is below
while
(curX < nextX)
{
cout <<
"Move Down"
<< endl;
curX++;
}
// Move Right if destination is to the right
while
(curY < nextY)
{
cout <<
"Move Right"
<< endl;
curY++;
}
// At this point, destination is reached
cout <<
"Press OK"
<< endl;
i++;
}
}