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3337. Total Characters in String After Transformations II

  • Given a string s, an integer t, and an array nums of size 26 representing transformations on s.
  • Each character in s is replaced by the next nums[s[i] - 'a'] consecutive characters, wrapping around if needed.
  • Return the length of the resulting string after t transformations, modulo 10^9 + 7.
  • Implementing matrix multiplication efficiently handles large values of t.
  • Strategy involves representing transformations as matrices, using matrix exponentiation, and calculating dot products.
  • Example transformations and their impact on the length of the string are illustrated.
  • Functions in PHP for matrix operations like matrix multiplication and exponentiation are provided.
  • Matrix Construction builds a matrix indicating characters generated during transformations.
  • Matrix Exponentiation efficiently handles large exponents using exponentiation by squaring.
  • Contribution Calculation computes character contributions to the final length using precomputed matrices.

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