## The Goal

The goal for your program is to safely land the "Mars Lander" shuttle, the landing ship which contains the Opportunity rover. Mars Lander is guided by a program, and right now the failure rate for landing on the NASA simulator is unacceptable.

**Note that it may look like a difficult problem, but in reality the problem is easy to solve.**This puzzle is the first level among three, therefore, we need to present you some controls you won't need in order to complete this first level.## Rules

Built as a game, the simulator puts Mars Lander on a limited zone of Mars sky.

The zone is 7000m wide and 3000m high.

There is a

**For this level,**Mars Lander is above the landing zone, in vertical position, with no initial speed.There is a

**unique area of flat ground**on the surface of Mars, which is at least 1000 meters wide.**Every second**, depending on the current flight parameters (location, speed, fuel ...), the program must provide the new desired tilt angle and thrust power of Mars Lander:

Angle goes from -90° to 90° . Thrust power goes from 0 to 4 .

**For this level**, you only need to control the thrust power: the tilt angle should be 0.**a free fall**without atmosphere. Gravity on Mars is 3.711 m/s² . For a

**thrust power of X**, a push force equivalent to

**X m/s²**is generated and

**X liters of fuel**are consumed. As such, a thrust power of 4 in an almost vertical position is needed to compensate for the gravity on Mars.

For a landing to be successful, the ship must:

- land on flat ground
- land in a vertical position (tilt angle = 0°)
- vertical speed must be limited ( ≤ 40m/s in absolute value)
- horizontal speed must be limited ( ≤ 20m/s in absolute value)

**Remember that this puzzle was simplified:**

- the landing zone is just below the shuttle. You can therefore ignore rotation and always output 0 as the target angle.
- you don't need to store the coordinates of the surface of Mars to succeed.
- you only need your vertical landing speed to be between 0 and 40m/s – your horizontal speed being nil.
- As the shuttle falls, the vertical speed is negative. As the shuttle flies upward, the vertical speed is positive.

## Note

For this

Tests and validators are only slightly different.

**first level**, Mars Lander will go through**a single test**.Tests and validators are only slightly different.

**A program that passes a given test will pass the corresponding validator**without any problem.## Game Input

The program must first read the initialization data from standard input. Then,

**within an infinite loop**, the program must read the data from the standard input related to Mars Lander's current state and provide to the standard output the instructions to move Mars Lander.Initialization input

Line 1: the number

Next

`surfaceN`of points used to draw the surface of Mars.Next

`surfaceN`lines: a couple of integers`landX``landY`providing the coordinates of a ground point. By linking all the points together in a sequential fashion, you form the surface of Mars which is composed of several segments. For the first point,`landX`= 0 and for the last point,`landX`= 6999Input for one game turn

A single line with 7 integers:

`X``Y``hSpeed``vSpeed``fuel``rotate``power``X`,`Y`are the coordinates of Mars Lander (in meters).`hSpeed`and`vSpeed`are the horizontal and vertical speed of Mars Lander (in m/s). These can be negative depending on the direction of Mars Lander.`fuel`is the remaining quantity of fuel in liters. When there is no more fuel, the power of thrusters falls to zero.`rotate`is the angle of rotation of Mars Lander expressed in degrees.`power`is the thrust power of the landing ship.

Output for one game turn

A single line with 2 integers:

`rotate``power`:`rotate`is the desired rotation angle for Mars Lander. Please note that for each turn the actual value of the angle is limited to the value of the previous turn +/- 15°.`power`is the desired thrust power. 0 = off. 4 = maximum power. Please note that for each turn the value of the actual power is limited to the value of the previous turn +/- 1.

Constraints

2 ≤

0 ≤

0 ≤

-500 <

0 ≤

-90 ≤

0 ≤

Response time per turn ≤ 100ms

`surfaceN`< 300 ≤

`X`< 70000 ≤

`Y`< 3000-500 <

`hSpeed`,`vSpeed`< 5000 ≤

`fuel`≤ 2000-90 ≤

`rotate`≤ 900 ≤

`power`≤ 4Response time per turn ≤ 100ms

## JavaScript Solution

```
var N = parseInt(readline());
for (var i = 0; i < N; i++) {
var inputs = readline().split(' ');
}
while (true) {
var inputs = readline().split(' ');
var VS = parseInt(inputs[3]);
if (VS <= -40)
print('0 4');
else
print("0 0")
}
```

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