# Zzy Beginners Weekly Contest 001

## A.  [ZBWR1B]Area = ?

# Area = ?

## Problem Statement

Given four coordinate points $(X_1,Y_1,X_2,Y_2,X_3,Y_3,X_4,Y_4)$ you are asked to find the area of this quadrilateral, which might be

- square
- rectangle
- Parallelograms
- trapezoid
- rhombus

## Constraints

- $0 \leq X_1, Y_1, X_2, Y_2, X_3, Y_3,X_4,Y_4 \leq 1000$
- The four points $A$, $B$, $C $and $D$ are not collinear.
- All input values are integers.

## Standard input

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

$X_1,Y_1$
$X_2,Y_2$
$X_3,Y_3$
$X_4,Y_4$
![image](file://W19bgK5TraoLCZM-R7QXI.png) 

## Output

Given four coordinate points $(X_1,Y_1,X_2,Y_2,X_3,Y_3,X_4,Y_4)$ you are asked to find the area of this quadrilateral

## Sample calendar

### Sample Input 1

```
0 2
0 0
2 2
2 0
```

### Sample Output 1

```
4
```

### Sample Input 2

```
0 0
4 0
3 2
1 2
```

### Sample Output 2

```
6
```

## 题面翻译

给定四个坐标点 $(X_1,Y_1,X_2,Y_2,X_3,Y_3,X_4,Y_4)$，要求你找出这个四边形的面积



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## B. [ZBWR1A]judgement triangle

# judgement  triangle

## Problem Statement

One day, Zzy was doing her homework and came across a difficult problem.
What did the puzzle look like?
Given three coordinate points $(X_a,Y_a,X_b,Y_b,X_c,Y_c)$, find whether the triangle is a right triangle, an acute triangle, or an obtuse triangle.
`Note1:These three coordinate points must be able to form a triangle`
`Note2:If the triangle also contains an acute triangle then output a right triangle.`
Can you help him solve this problem?

## Constraints

- $-1000 \leq X_a, Y_a, X_b, Y_b, X_c, Y_c \leq 1000$
- The three points $A$, $B$, and $C$ are not collinear.
- All input values are integers.

## Standard input

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

$X_a,Y_a$
$X_b,Y_b$
$X_c,Y_c$

## Output

Given three coordinate points$(X_a,Y_a,X_b,Y_b,X_c,Y_C)$, find whether the triangle is a right, acute or obtuse triangle.

Output `acute triangle` or `right angled triangle` or `obtuse triangles`

## Sample calendar

### Sample Input 1

```
0 0
4 0
0 3
```

### Sample Output 1

```
right angled triangle
```

### Sample Input 2

```
2 4
-3 2
1 -2
```

### Sample Output 2

```
acute triangle
```

### Sample Input 3

```
2 7
2 1
6 3
```

### Sample Output 3

```
obtuse triangles
```

## 题面翻译

给定三个坐标点$（X_a,Y_a,X_b,Y_b,X_c,Y_c）$，求这个三角形是直角三角形、锐角三角形还是钝角三角形。
如果是锐角三角就输出`acute triangle`
直角就输出`right angled triangle`
钝角就输出`obtuse triangles`



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