You are given a string num which represents a positive integer, and an integer t.
A number is called zero-free if none of its digits are 0.
\n\nReturn a string representing the smallest zero-free number greater than or equal to num such that the product of its digits is divisible by t. If no such number exists, return "-1".
\n
Example 1:
\n\nInput: num = "1234", t = 256
\n\nOutput: "1488"
\n\nExplanation:
\n\nThe smallest zero-free number that is greater than 1234 and has the product of its digits divisible by 256 is 1488, with the product of its digits equal to 256.
\nExample 2:
\n\nInput: num = "12355", t = 50
\n\nOutput: "12355"
\n\nExplanation:
\n\n12355 is already zero-free and has the product of its digits divisible by 50, with the product of its digits equal to 150.
\nExample 3:
\n\nInput: num = "11111", t = 26
\n\nOutput: "-1"
\n\nExplanation:
\n\nNo number greater than 11111 has the product of its digits divisible by 26.
\n\n
Constraints:
\n\n2 <= num.length <= 2 * 105num consists only of digits in the range ['0', '9'].num does not contain leading zeros.1 <= t <= 1014t should only have 2, 3, 5 and 7 as prime factors.",
"Find the shortest suffix that must be changed.",
"Try to form the string greedily."
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"sampleTestCase": "\"1234\"\n256",
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