Prison Cells After N Days
There are 8 prison cells in a row, and each cell is either occupied or vacant.
Each day, whether the cell is occupied or vacant changes according to the following rules:
If a cell has two adjacent neighbors that are both occupied or both vacant, then the cell becomes occupied.
Otherwise, it becomes vacant.
(Note that because the prison is a row, the first and the last cells in the row can't have two adjacent neighbors.)
We describe the current state of the prison in the following way: cells[i] == 1
if the i
-th cell is occupied, else cells[i] == 0
.
Given the initial state of the prison, return the state of the prison after N
days (and N
such changes described above.)
Example 1:
Input: cells = [0,1,0,1,1,0,0,1], N = 7
Output: [0,0,1,1,0,0,0,0]
Explanation:
The following table summarizes the state of the prison on each day:
Day 0: [0, 1, 0, 1, 1, 0, 0, 1]
Day 1: [0, 1, 1, 0, 0, 0, 0, 0]
Day 2: [0, 0, 0, 0, 1, 1, 1, 0]
Day 3: [0, 1, 1, 0, 0, 1, 0, 0]
Day 4: [0, 0, 0, 0, 0, 1, 0, 0]
Day 5: [0, 1, 1, 1, 0, 1, 0, 0]
Day 6: [0, 0, 1, 0, 1, 1, 0, 0]
Day 7: [0, 0, 1, 1, 0, 0, 0, 0]
Example 2:
Input: cells = [1,0,0,1,0,0,1,0], N = 1000000000
Output: [0,0,1,1,1,1,1,0]
Note:
cells.length == 8
cells[i]
is in{0, 1}
1 <= N <= 10^9
class Solution {
public int[] prisonAfterNDays(int[] cells, int N) {
if (cells == null || cells.length == 0 || N <= 0)
return cells;
boolean hasCycle = false;
int cycle = 0;
HashSet<String> set = new HashSet<>();
for (int i = 0; i < N; i++) {
int[] next = nextDay(cells);
String key = Arrays.toString(next);
if (!set.contains(key)) { // store cell state
set.add(key);
cycle++;
} else { // hit a cycle
hasCycle = true;
break;
}
cells = next;
}
if (hasCycle) {
N %= cycle;
for (int i = 0; i < N; i++) {
cells = nextDay(cells);
}
}
return cells;
}
private int[] nextDay(int[] cells) {
int[] tmp = new int[cells.length];
for (int i = 1; i < cells.length - 1; i++) {
tmp[i] = cells[i - 1] == cells[i + 1] ? 1 : 0;
}
return tmp;
}
}
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