N. 3andak Manoushi Bel Za3tar?
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

After every exam, Nadeem and his friends have the same discussion: should they eat manaeesh at Alsyoufi or Caesar?

To settle the debate, they compare the two restaurants using three criteria:

  • Distance: the restaurant with the smaller distance receives one point.
  • Food quality: the restaurant with the larger food-quality score receives one point.
  • Price: the restaurant with the smaller price receives one point.

For each criterion, the two values are different. Thus, exactly one restaurant receives a point from each criterion. The restaurant with more points wins.

Determine the winning restaurant.

Input

The first line contains three integers $$$D_1$$$, $$$Q_1$$$, and $$$P_1$$$ — the distance, food-quality score, and price of Alsyoufi, respectively.

The second line contains three integers $$$D_2$$$, $$$Q_2$$$, and $$$P_2$$$ — the distance, food-quality score, and price of Caesar, respectively.

Each of the six integers is between $$$1$$$ and $$$10^9$$$, inclusive.

It is guaranteed that $$$D_1$$$ and $$$D_2$$$ are different, $$$Q_1$$$ and $$$Q_2$$$ are different, and $$$P_1$$$ and $$$P_2$$$ are different.

Output

Print Alsyoufi if Alsyoufi receives more points. Otherwise, print Caesar.

Examples
Input
10 8 30
15 7 25
Output
Alsyoufi
Input
20 9 50
10 8 40
Output
Caesar
Input
1 1000000000 1
1000000000 1 1000000000
Output
Alsyoufi
Note

In the first example, Alsyoufi receives the points for distance and food quality, while Caesar receives the point for price. Therefore, Alsyoufi wins by $$$2$$$ points to $$$1$$$.

In the second example, Caesar receives the points for distance and price, while Alsyoufi receives the point for food quality. Therefore, Caesar wins by $$$2$$$ points to $$$1$$$.

In the third example, Alsyoufi receives all three points.