Minimum Cost to Convert String I

You are given two 0-indexed strings source and target, both of length n and consisting of lowercase English letters. You are also given two 0-indexed character arrays original and changed, and an integer array cost, where cost[i] represents the cost of changing the character original[i] to the character changed[i].

You start with the string source. In one operation, you can pick a character x from the string and change it to the character y at a cost of z if there exists any index j such that cost[j] == z, original[j] == x, and changed[j] == y.

Return the minimum cost to convert the string source to the string target using any number of operations. If it is impossible to convert source to target, return -1.

Note that there may exist indices i, j such that original[j] == original[i] and changed[j] == changed[i].

Example 1
Inputsource = "abcd", target = "acbe", original = ["a","b","c","c","e","d"], changed = ["b","c","b","e","b","e"], cost = [2,5,5,1,2,20]
Output28
The minimum conversion changes b to c, c to e, e to b, and d to e for a total cost of 28.
Example 2
Inputsource = "aaaa", target = "bbbb", original = ["a","c"], changed = ["c","b"], cost = [1,2]
Output12
Each a can be changed to b via a to c and then c to b for cost 3, so four occurrences cost 12 total.

Constraints

  • 1 <= source.length == target.length <= 10^5
  • source, target consist of lowercase English letters.
  • 1 <= cost.length == original.length == changed.length <= 2000
  • original[i], changed[i] are lowercase English letters.
  • 1 <= cost[i] <= 10^6
  • original[i] != changed[i]

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