There is a special keyboard where keys are arranged in a rectangular grid as follows.
q
w
e
r
t
y
u
i
o
p
a
s
d
f
g
h
j
k
l
Β
z
x
c
v
b
n
m
Β
Β
Β
You are given a string s that consists of lowercase English letters only. Return an integer denoting the total distance to type s using only one finger. Your finger starts on the key 'a'.
The distance between two keys at (r1, c1) and (r2, c2) is |r1 - r2| + |c1 - c2|.
Β
Example 1:
Input:s = "hello"
Output:17
Explanation:
Your finger starts at 'a', which is at (1, 0).
Move to 'h', which is at (1, 5). The distance is |1 - 1| + |0 - 5| = 5.
Move to 'e', which is at (0, 2). The distance is |1 - 0| + |5 - 2| = 4.
Move to 'l', which is at (1, 8). The distance is |0 - 1| + |2 - 8| = 7.
Move to 'l', which is at (1, 8). The distance is |1 - 1| + |8 - 8| = 0.
Move to 'o', which is at (0, 8). The distance is |1 - 0| + |8 - 8| = 1.
Total distance is 5 + 4 + 7 + 0 + 1 = 17.
Example 2:
Input:s = "a"
Output:0
Explanation:
Your finger starts at 'a', which is at (1, 0).
Move to 'a', which is at (1, 0). The distance is |1 - 1| + |0 - 0| = 0.