101101: [AtCoder]ABC110 B - 1 Dimensional World's Tale

Problem Statement

Our world is one-dimensional, and ruled by two empires called Empire A and Empire B.

The capital of Empire A is located at coordinate $X$, and that of Empire B is located at coordinate $Y$.

One day, Empire A becomes inclined to put the cities at coordinates $x_1, x_2, ..., x_N$ under its control, and Empire B becomes inclined to put the cities at coordinates $y_1, y_2, ..., y_M$ under its control.

If there exists an integer $Z$ that satisfies all of the following three conditions, they will come to an agreement, but otherwise war will break out.

• $X < Z \leq Y$
• $x_1, x_2, ..., x_N < Z$
• $y_1, y_2, ..., y_M \geq Z$

Determine if war will break out.

Constraints

• All values in input are integers.
• $1 \leq N, M \leq 100$
• $-100 \leq X < Y \leq 100$
• $-100 \leq x_i, y_i \leq 100$
• $x_1, x_2, ..., x_N \neq X$
• $x_i$ are all different.
• $y_1, y_2, ..., y_M \neq Y$
• $y_i$ are all different.

Input

Input is given from Standard Input in the following format:

$N$ $M$ $X$ $Y$
$x_1$ $x_2$ $...$ $x_N$
$y_1$ $y_2$ $...$ $y_M$

Output

If war will break out, print War; otherwise, print No War.

Sample Input 1

3 2 10 20
8 15 13
16 22

Sample Output 1

No War

The choice $Z = 16$ satisfies all of the three conditions as follows, thus they will come to an agreement.

• $X = 10 < 16 \leq 20 = Y$
• $8, 15, 13 < 16$
• $16, 22 \geq 16$

Sample Input 2

4 2 -48 -1
-20 -35 -91 -23
-22 66

Sample Output 2

War

Sample Input 3

5 3 6 8
-10 3 1 5 -100
100 6 14

Sample Output 3

War