You are given a string s consisting of lowercase English letters, an integer t representing the number of transformations to perform, and an array nums of size 26. In one transformation, every character in s is replaced according to the following rules:
- Replace
s[i]with the nextnums[s[i] - 'a']consecutive characters in the alphabet. For example, ifs[i] = 'a'andnums[0] = 3, the character'a'transforms into the next 3 consecutive characters ahead of it, which results in"bcd". - The transformation wraps around the alphabet if it exceeds
'z'. For example, ifs[i] = 'y'andnums[24] = 3, the character'y'transforms into the next 3 consecutive characters ahead of it, which results in"zab".
Return the length of the resulting string after exactly t transformations.
Since the answer may be very large, return it modulo 109 + 7.
Example 1:
Input: s = "abcyy", t = 2, nums = [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2]
Output: 7
Explanation:
-
First Transformation (t = 1):
<ul> <li><code>'a'</code> becomes <code>'b'</code> as <code>nums[0] == 1</code></li> <li><code>'b'</code> becomes <code>'c'</code> as <code>nums[1] == 1</code></li> <li><code>'c'</code> becomes <code>'d'</code> as <code>nums[2] == 1</code></li> <li><code>'y'</code> becomes <code>'z'</code> as <code>nums[24] == 1</code></li> <li><code>'y'</code> becomes <code>'z'</code> as <code>nums[24] == 1</code></li> <li>String after the first transformation: <code>"bcdzz"</code></li> </ul> </li> <li> <p><strong>Second Transformation (t = 2):</strong></p> <ul> <li><code>'b'</code> becomes <code>'c'</code> as <code>nums[1] == 1</code></li> <li><code>'c'</code> becomes <code>'d'</code> as <code>nums[2] == 1</code></li> <li><code>'d'</code> becomes <code>'e'</code> as <code>nums[3] == 1</code></li> <li><code>'z'</code> becomes <code>'ab'</code> as <code>nums[25] == 2</code></li> <li><code>'z'</code> becomes <code>'ab'</code> as <code>nums[25] == 2</code></li> <li>String after the second transformation: <code>"cdeabab"</code></li> </ul> </li> <li> <p><strong>Final Length of the string:</strong> The string is <code>"cdeabab"</code>, which has 7 characters.</p> </li>
Example 2:
Input: s = "azbk", t = 1, nums = [2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2]
Output: 8
Explanation:
-
First Transformation (t = 1):
<ul> <li><code>'a'</code> becomes <code>'bc'</code> as <code>nums[0] == 2</code></li> <li><code>'z'</code> becomes <code>'ab'</code> as <code>nums[25] == 2</code></li> <li><code>'b'</code> becomes <code>'cd'</code> as <code>nums[1] == 2</code></li> <li><code>'k'</code> becomes <code>'lm'</code> as <code>nums[10] == 2</code></li> <li>String after the first transformation: <code>"bcabcdlm"</code></li> </ul> </li> <li> <p><strong>Final Length of the string:</strong> The string is <code>"bcabcdlm"</code>, which has 8 characters.</p> </li>
Constraints:
1 <= s.length <= 105sconsists only of lowercase English letters.1 <= t <= 109nums.length == 261 <= nums[i] <= 25