1307. Verbal Arithmetic Puzzle

https://leetcode.com/problems/verbal-arithmetic-puzzle

Description

Given an equation, represented by words on left side and the result on right side.

You need to check if the equation is solvable under the following rules:

  • Each character is decoded as one digit (0 - 9).

  • Every pair of different characters they must map to different digits.

  • Each words[i] and result are decoded as one number without leading zeros.

  • Sum of numbers on left side (words) will equal to the number on right side (result).

Return True if the equation is solvable otherwise return False.

Example 1:

**Input:** words = ["SEND","MORE"], result = "MONEY"
**Output:** true
**Explanation:** Map 'S'-> 9, 'E'->5, 'N'->6, 'D'->7, 'M'->1, 'O'->0, 'R'->8, 'Y'->'2'
Such that: "SEND" + "MORE" = "MONEY" ,  9567 + 1085 = 10652

Example 2:

**Input:** words = ["SIX","SEVEN","SEVEN"], result = "TWENTY"
**Output:** true
**Explanation:** Map 'S'-> 6, 'I'->5, 'X'->0, 'E'->8, 'V'->7, 'N'->2, 'T'->1, 'W'->'3', 'Y'->4
Such that: "SIX" + "SEVEN" + "SEVEN" = "TWENTY" ,  650 + 68782 + 68782 = 138214

Example 3:

**Input:** words = ["THIS","IS","TOO"], result = "FUNNY"
**Output:** true

Example 4:

**Input:** words = ["LEET","CODE"], result = "POINT"
**Output:** false

Constraints:

  • 2 <= words.length <= 5

  • 1 <= words[i].length, result.length <= 7

  • words[i], result contain only uppercase English letters.

  • The number of different characters used in the expression is at most 10.

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