You are given a string $s$. You can build new string $p$ from $s$ using the following operation no more than two times:

1. choose any subsequence $s_{i_1}, s_{i_2}, \dots, s_{i_k}$ where $1 \le i_1 < i_2 < \dots < i_k \le |s|$;
2. erase the chosen subsequence from $s$ ($s$ can become empty);
3. concatenate chosen subsequence to the right of the string $p$ (in other words, $p = p + s_{i_1}s_{i_2}\dots s_{i_k}$).

Of course, initially the string $p$ is empty.

For example, let $s = \text{ababcd}$. At first, let's choose subsequence $s_1 s_4 s_5 = \text{abc}$ — we will get $s = \text{bad}$ and $p = \text{abc}$. At second, let's choose $s_1 s_2 = \text{ba}$ — we will get $s = \text{d}$ and $p = \text{abcba}$. So we can build $\text{abcba}$ from $\text{ababcd}$.

Can you build a given string $t$ using the algorithm above?