Problem10331--ABC355 —— B - Piano 2

10331: ABC355 —— B - Piano 2

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

You are given a sequence $A=(A_1,A_2,\dots,A_N)$ of length $N$ and a sequence $B=(B_1,B_2,\dots,B_M)$ of length $M$. Here, all elements of $A$ and $B$ are pairwise distinct. Determine whether the sequence $C=(C_1,C_2,\dots,C_{N+M})$ formed by sorting all elements of $A$ and $B$ in ascending order contains two consecutive elements appearing in $A$.

Input

The input is given from Standard Input in the following format:

```
$N$ $M$
$A_1$ $A_2$ $\dots$ $A_N$
$B_1$ $B_2$ $\dots$ $B_M$
```

Output

If $C$ contains two consecutive elements appearing in $A$, print `Yes`; otherwise, print `No`.

Constraints

-   $1 \leq N, M \leq 100$
-   $1 \leq A_i, B_j \leq 200$
-   $A_1, A_2, \dots, A_N, B_1, B_2, \dots, B_M$ are distinct.
-   All input values are integers.

Sample 1 Input

3 2
3 2 5
4 1

Sample 1 Output

Yes
C=(1,2,3,4,5). Since 2 and 3 from A occur consecutively in C, print Yes.

Sample 2 Input

3 2
3 1 5
4 2

Sample 2 Output

No
C=(1,2,3,4,5). Since no two elements from A occur consecutively in C, print No.

Sample 3 Input

1 1
1
2

Sample 3 Output

No

Source/Category