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g3001_3100.s3044_most_frequent_prime.readme.md Maven / Gradle / Ivy

3044\. Most Frequent Prime

Medium

You are given a `m x n` **0-indexed** 2D matrix `mat`. From every cell, you can create numbers in the following way:

*   There could be at most `8` paths from the cells namely: east, south-east, south, south-west, west, north-west, north, and north-east.
*   Select a path from them and append digits in this path to the number being formed by traveling in this direction.
*   Note that numbers are generated at every step, for example, if the digits along the path are `1, 9, 1`, then there will be three numbers generated along the way: `1, 19, 191`.

Return _the most frequent prime number **greater** than_ `10` _out of all the numbers created by traversing the matrix or_ `-1` _if no such prime number exists. If there are multiple prime numbers with the highest frequency, then return the **largest** among them._

**Note:** It is invalid to change the direction during the move.

**Example 1:**

 **![](https://assets.leetcode.com/uploads/2024/02/15/south)** 

 **Input:** mat = [[1,1],[9,9],[1,1]]

**Output:** 19

**Explanation:**

From cell (0,0) there are 3 possible directions and the numbers greater than 10 which can be created in those directions are:

East: [11], South-East: [19], South: [19,191].

Numbers greater than 10 created from the cell (0,1) in all possible directions are: [19,191,19,11].

Numbers greater than 10 created from the cell (1,0) in all possible directions are: [99,91,91,91,91].

Numbers greater than 10 created from the cell (1,1) in all possible directions are: [91,91,99,91,91].

Numbers greater than 10 created from the cell (2,0) in all possible directions are: [11,19,191,19].

Numbers greater than 10 created from the cell (2,1) in all possible directions are: [11,19,19,191].

The most frequent prime number among all the created numbers is 19.

**Example 2:**

**Input:** mat = [[7]]

**Output:** -1

**Explanation:** The only number which can be formed is 7. It is a prime number however it is not greater than 10, so return -1.

**Example 3:**

**Input:** mat = [[9,7,8],[4,6,5],[2,8,6]]

**Output:** 97

**Explanation:**

Numbers greater than 10 created from the cell (0,0) in all possible directions are: [97,978,96,966,94,942].

Numbers greater than 10 created from the cell (0,1) in all possible directions are: [78,75,76,768,74,79].

Numbers greater than 10 created from the cell (0,2) in all possible directions are: [85,856,86,862,87,879].

Numbers greater than 10 created from the cell (1,0) in all possible directions are: [46,465,48,42,49,47].

Numbers greater than 10 created from the cell (1,1) in all possible directions are: [65,66,68,62,64,69,67,68].

Numbers greater than 10 created from the cell (1,2) in all possible directions are: [56,58,56,564,57,58].

Numbers greater than 10 created from the cell (2,0) in all possible directions are: [28,286,24,249,26,268].

Numbers greater than 10 created from the cell (2,1) in all possible directions are: [86,82,84,86,867,85].

Numbers greater than 10 created from the cell (2,2) in all possible directions are: [68,682,66,669,65,658].

The most frequent prime number among all the created numbers is 97. 

**Constraints:**

*   `m == mat.length`
*   `n == mat[i].length`
*   `1 <= m, n <= 6`
*   `1 <= mat[i][j] <= 9`