http://poj.org/problem?id=3295
//* @author:
import java.util.Scanner;
import java.util.Stack;
public class Main {
public static void main(String[] args) {
new Main().init();
}
public void init() {
Scanner sc = new Scanner(System.in);
char[] s;
boolean flag;
while (!sc.hasNextInt()) {
flag = true;
s = sc.next().toCharArray();
for (int i = 0; i < 32; i++) {
if (!check(i, s)) {
flag = false;
break;
}
}
if (flag)
System.out.println("tautology");
else
System.out.println("not");
}
}
public boolean check(int i, char[] s) {
Stack< Integer> stack = new Stack< Integer>();
for (char c : s) {
if (c >= 'p' && c <= 't') {
int d = c - 'p';
d = (1 << d & i) >> d;
boolean flag = true;
while (flag) {
if (stack.isEmpty()) {
stack.push(d);
flag = false;
} else if (isoperate(stack.peek())) {
stack.push(d);
flag = false;
} else if (stack.peek() == 'N') {
d = 1 - d;
stack.pop();
} else {
int dd = stack.pop();
int oper = stack.pop();
switch (oper) {
case 'K':
d &= dd;
break;
case 'A':
d |= dd;
break;
case 'C':
d = dd - d > 0 ? 0 : 1;
break;
case 'E':
d = 1 - (d ^ dd);
break;
default:
break;
}
}
}
} else {
stack.push((int) c);
}
}
return stack.pop() == 1;
}
private boolean isoperate(Integer peek) {
switch (peek.intValue()) {
case 'K':
case 'A':
case 'C':
case 'E':
return true;
default:
return false;
}
}
}
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