Answer:
After update 20, the resulting system retains its current state.
Explanation:
The Game of Life, its a type of cell automation which is played on an infinite two-dimensional rectangular grid of cells. Each cell may be alive or dead. Neighbors of a cell refers to those cells that comes in contact with the cell, either horizontal, vertical, or diagonal and it arises from that cell.
At Update 1:
The 2 cells on the tag ends die (having 1 neighbor each), while the 2 at the centre are alive and not dead like the ones at the tag ends (having 2 neighbors each). Making, 4 cells to be alive: here, we see 2 cells at the top of the 2 centre cells, as well as the 2 cells beneath the 2 centre cells.
We can conclude that after 1 update, the world is made up of 6 living cells in a rectangle with height 3 and width 2.
At Update 2:
The 2 living cells at the centre dies (having 5 living neighbors each). The left over 4 live cells from updates 1 (the up and down rows of the rectangle) will still be living. This yields 2 cells to the left and right of the centre cells which makes them also living. The resulting update gives a structure that looks like the two centre cells in the rectangle, with each taking one step outward.
This is to say that, a total of six living cells are distributed across three rows. If The columns to be used are numbered 1, 2, 3, and 4, then the live cells in rows 1 and 3,are allocated to columns 2 and 3. The live cells in row 2, will be allocated to columns 1 and 4. The resulting configuration is stable with each live cell possessing two neighbors, plus no dead cell is seen to posses three neighbors.
The resulting system will retain its current nature and attributes or states from update 3 to update 20 and beyond.
After update 20, the resulting system retains its current state.