You are given two strings s
and t
of the same length, and two integer arrays nextCost
and previousCost
.
In one operation, you can pick any index i
of s
, and perform either one of the following actions:
s[i]
to the next letter in the alphabet. If s[i] == 'z'
, you should replace it with 'a'
. This operation costs nextCost[j]
where j
is the index of s[i]
in the alphabet.s[i]
to the previous letter in the alphabet. If s[i] == 'a'
, you should replace it with 'z'
. This operation costs previousCost[j]
where j
is the index of s[i]
in the alphabet.The shift distance is the minimum total cost of operations required to transform s
into t
.
Return the shift distance from s
to t
.
Example 1:
Input: s = "abab", t = "baba", nextCost = [100,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], previousCost = [1,100,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
Output: 2
Explanation:
i = 0
and shift s[0]
25 times to the previous character for a total cost of 1.i = 1
and shift s[1]
25 times to the next character for a total cost of 0.i = 2
and shift s[2]
25 times to the previous character for a total cost of 1.i = 3
and shift s[3]
25 times to the next character for a total cost of 0.Example 2:
Input: s = "leet", t = "code", nextCost = [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1], previousCost = [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
Output: 31
Explanation:
i = 0
and shift s[0]
9 times to the previous character for a total cost of 9.i = 1
and shift s[1]
10 times to the next character for a total cost of 10.i = 2
and shift s[2]
1 time to the previous character for a total cost of 1.i = 3
and shift s[3]
11 times to the next character for a total cost of 11.
Constraints:
1 <= s.length == t.length <= 105
s
and t
consist only of lowercase English letters.nextCost.length == previousCost.length == 26
0 <= nextCost[i], previousCost[i] <= 109