Long DriveChef and Chefina are out on a long road trip.The average speed of the car after 1010 hours of driving is 𝑋X kilometres per hour.Chef wants to achieve an average speed of 𝑌Y kilometres per hour. Given that he can travel a maximum of 100100 kilometres in one hour, find the minimum number of additional integer hours required for him to reach the target average speed.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of two space-separated integers 𝑋X and 𝑌Y — the average speed after 1010 hours of driving and the required average speed.Output FormatFor each test case, output on a new line, the minimum number of integer hours required for him to reach the target average speed.Constraints1≤𝑇≤12251≤T≤122550≤𝑋<𝑌<10050≤X<Y<100Sample 1:InputOutput350 5160 8055 9511080Explanation:Test case 11: The average speed after 1010 hours is 5050 kmph. This means that Chef has travelled a distance of 50⋅10=50050⋅10=500 kilometres. If he covers 6161 kilometres in the next hour, his average speed would be (500+61)(10+1)=51(10+1)(500+61)​ =51. Thus, he can achieve the target average speed in one hour.Test case 22: The average speed after 1010 hours is 6060 kmph. This means that Chef has travelled a distance of 60⋅10=60060⋅10=600 kilometres. If he covers 100100 kilometres each for the next 1010 hours, his average speed would be (600+100⋅10)(10+10)=80(10+10)(600+100⋅10)​ =80. Thus, he can achieve the target average speed in minimum of 1010 hours.

To solve this problem, we need to calculate the total distance Chef has travelled after 10 hours and the total distance he needs to travel to achieve the target average speed. Then, we find the difference between these two distances and divide it by the maximum speed Chef can travel in one hour (100 km/h). The result will be the minimum number of additional hours Chef needs to reach the target average speed.

Here are the steps to solve this problem:

1. Calculate the total distance Chef has travelled after 10 hours. This can be done by multiplying the average speed after 10 hours (X) by 10.

2. Calculate the total distance Chef needs to travel to achieve the target average speed. This can be done by multiplying the target average speed (Y) by the total number of hours (10 + additional hours).

3. Set up an equation where the total distance travelled after 10 hours plus the distance travelled in the additional hours (100 km/h * additional hours) equals the total distance needed to achieve the target average speed.

4. Solve this equation for the additional hours.

5. Round up the result to the nearest integer, as the problem asks for the minimum number of additional integer hours.

This solution assumes that Chef can always travel at the maximum speed of 100 km/h in the additional hours. If this is not the case, the problem would be more complex and might not have a unique solution.

The problem is asking for the minimum number of additional hours Chef needs to reach his target average speed.

Here are the steps to solve this problem:

1. First, calculate

The problem is asking to find the minimum number of additional hours required for Chef to reach the target average speed.

Here are the steps to solve this problem:

1. First, calculate the total distance travelled by Chef after 10 hours of driving. This can be done by multiplying the average speed after 10 hours (X) by 10.

2. Then, calculate the total distance that Chef needs to travel to achieve the target average speed (Y). This can be done by rearranging the formula for average speed (total distance/total time) to solve for total distance (average speed * total time).

3. Subtract the distance travelled in step 1 from the total distance calculated in step 2. This will give the additional distance that Chef needs to travel to reach the target average speed.

4. Since Chef can travel a maximum of 100 kilometres in one hour, divide the additional distance by 100 to find the minimum number of additional hours required for Chef to reach the target average speed.

5. If the additional distance is not a multiple of 100, round up to the nearest whole number, because Chef cannot travel for a fraction of an hour.

6. Repeat steps 1-5 for each test case.

For example, in the first test case, Chef has travelled 350 kilometres after 10 hours. To achieve an average speed of 51 km/h, he needs to travel a total of 51 * (10 + additional hours) kilometres. Subtracting 350 from this total gives the additional distance that Chef needs to travel. Dividing this by 100 gives the minimum number of additional hours required for Chef to reach the target average speed.

To solve this problem, we need to calculate the total distance travelled by Chef after 10 hours and then calculate the additional distance he needs to travel to reach the target average speed.

Here are the steps to solve this problem:

1. Calculate the total distance travelled by Chef after 10 hours. This can be done by multiplying the average speed after 10 hours (X) by 10.

2. Calculate the total distance Chef needs to travel to reach the target average speed. This can be done by multiplying the target average speed (Y) by the total number of hours (10 + additional hours).

3. Subtract the total distance travelled by Chef after 10 hours from the total distance Chef needs to travel to reach the target average speed. This will give us the additional distance Chef needs to travel.

4. Since Chef can travel a maximum of 100 kilometres in one hour, divide the additional distance by 100 to get the minimum number of additional hours required for Chef to reach the target average speed.

5. If the additional distance is not a multiple of 100, round up the number of hours to the next integer. This is because Chef cannot travel a fraction of an hour.

6. Repeat these steps for each test case.

Here is a Python code snippet that implements these steps:

import math

T = int(input())
for _ in range(T):
    X, Y = map(int, input().split())
    total_distance_after_10_hours = X * 10
    additional_distance = (Y * (10 + math.ceil((Y * 10 - total_distance_after_10_hours) / 100))) - total_distance_after_10_hours
    additional_hours = math.ceil(additional_distance / 100)
    print(additional_hours)

This code reads the number of test cases and for each test case, it reads the average speed after 10 hours and the target average speed. It then calculates the total distance travelled by Chef after 10 hours and the additional distance Chef needs to travel. Finally, it calculates the minimum number of additional hours required for Chef to reach the target average speed and prints this number.