Notes

public class DFSA {
private int[][] transitionTable;
private int currentState;
private int[] acceptingStates;

public DFSA() {
transitionTable = new int[9][3];

transitionTable[0][0] = 1;
transitionTable[0][1] = -1;
transitionTable[0][2] = -1;

transitionTable[1][0] = 2;
transitionTable[1][1] = 3;
transitionTable[1][2] = -1;

transitionTable[2][0] = 4;
transitionTable[2][1] = 5;
transitionTable[2][2] = -1;

transitionTable[3][0] = -1;
transitionTable[3][1] = -1;
transitionTable[3][2] = 6;

transitionTable[4][0] = -1;
transitionTable[4][1] = 5;
transitionTable[4][2] = -1;

transitionTable[5][0] = -1;
transitionTable[5][1] = -1;
transitionTable[5][2] = 6;

transitionTable[6][0] = -1;
transitionTable[6][1] = -1;
transitionTable[6][2] = -1;

transitionTable[7][0] = 4;
transitionTable[7][1] = 5;
transitionTable[7][2] = -1;

transitionTable[8][0] = -1;
transitionTable[8][1] = -1;
transitionTable[8][2] = 6;

currentState = 0;
acceptingStates = new int[]{1, 3, 6, 2, 5, 6};
}

public boolean process(String input) {
currentState = 0; // Reset to initial state
for (char symbol : input.toCharArray()) {
int symbolIndex = getSymbolIndex(symbol);
if (symbolIndex == -1) {
return false;
}

currentState = transitionTable[currentState][symbolIndex];

if (currentState == -1) {
return false;
}
}

for (int state : acceptingStates) {
if (currentState == state) {
return true;
}
}

return false;
}

private int getSymbolIndex(char symbol) {
switch (symbol) {
case 'a':
return 0;
case '0':
return 1;
case '1':
return 2;
default:
return -1;
}
}

public static void main(String[] args) {
DFSA dfsa = new DFSA();
String[] testStrings = {"a", "a0", "a01", "aa", "aa0", "aa01"};

for (String testString : testStrings) {
boolean result = dfsa.process(testString);
if (result) {
System.out.println("The string "" + testString + "" is accepted by the DFSA.");
} else {
System.out.println("The string "" + testString + "" is not accepted by the DFSA.");
}
}
}
}