Calculate!

Ingyu is famous for solving logical operations very quickly and accurately. To check whether the rumor is true, Gyojeong asked Ingyu a few questions.

• Gyojeong: "Ingyu, what is 3 & 5?"
• Ingyu: "The answer is 1."
• Gyojeong: "Can I ask something a bit harder this time?"
• Ingyu: "Of course."
• Gyojeong: "Then what is 12345678 | 44555?"
• Ingyu: "The answer is 12382031."

Ingyu answered every question correctly, one after another, so Gyojeong thought of something to test.

• Gyojeong: "Ingyu, then can you also compute the number you get by XORing B into a number A, C times?"
• Ingyu: "One second is enough for that."

Gyojeong wants to check whether the answer Ingyu gave in one second is correct. On Gyojeong's behalf, write a program that prints the number obtained by XORing $B$ into $A$, $C$ times.

The first line contains $A$, $B$, and $C$, separated by spaces. ($1 \le A, B \le 10^8$, $1 \le C \le 10^{100}$)

Print the result of XORing $B$ into $A$, $C$ times. This is the value of $A$ after the operation $A \leftarrow A \oplus B$ is repeated $C$ times.