Hi, Brooks here. Just a little history. I got it from here:
https://en.wikipedia.org/wiki/Category:Logic_puzzles

Nurikabe (hiragana: ぬりかべ) is a binary determination puzzle named for Nurikabe, an invisible wall in Japanese folklore that blocks roads and delays foot travel. Nurikabe was apparently invented and named by Nikoli; other names (and attempts at localization) for the puzzle include Cell Structure and Islands in the Stream.
The puzzle is played on a typically rectangular grid of cells, some of which contain numbers. Cells are initially of unknown color, but can only be black or white. Two same-color cells are considered "connected" if they are adjacent vertically or horizontally, but not diagonally. Connected white cells form "islands", while connected black cells form the "sea".
The challenge is to paint each cell black or white, subject to the following rules:

1. Each numbered cell is an island cell, the number in it is the number of cells in that island.
2. Each island must contain exactly one numbered cell.
3. There must be only one sea, which is not allowed to contain "pools", i.e. 2x2 areas of black cells.

Human solvers typically dot the non-numbered cells they've determined to be certain to belong to an island.
Like most other pure-logic puzzles, a unique solution is expected, and a grid containing random numbers is highly unlikely to provide a uniquely solvable Nurikabe puzzle.