Yoga ClassOn the occasion of Yoga Day, the only yoga instructor in Chefland, Chef, has received numerous queries.Chef has managed to free up ๐N hours from his busy schedule to conduct yoga sessions. There are two types of sessions that Chef offers:Type 11 session, which lasts 11 hour, and earns Chef ๐X rupees.Type 22 session, which lasts 22 hours, and earns Chef ๐ย (๐>๐)Yย (Y>X) rupees.Find the maximum amount of money Chef can earn in ๐N hours.Input FormatThe first line of input will contain a single integer ๐T, denoting the number of test cases.Each test case consists of three space-separated integers ๐,๐,๐N,X,Y โ the number of hours for which Chef will take yoga sessions, price of type 11 session, and price of type 22 session respectively.Output FormatFor each test case, output on a new line, the maximum amount of money Chef can earn in ๐N hours.Constraints1โค๐โค10001โคTโค10001โค๐โค10001โคNโค10001โค๐<๐โค1001โคX<Yโค100Sample 1:InputOutput34 5 73 1 25 2 620314Explanation:Test case 11: Chef will take type 11 sessions for all 44 hours. Thus, in 44 hours, he can take 44 sessions earning a total of 4โ 5=204โ 5=20 rupees.Test case 22: Chef will take one session of type 11 and one session of type 22. Thus, in 33 hours, he earns a total of 1โ 1+1โ 2=31โ 1+1โ 2=3 rupees.Test case 33: Chef will take one session of type 11 and two sessions of type 22. Thus, in 55 hours, he earns a total of 1โ 2+2โ 6=141โ 2+2โ 6=14 rupees.
Question
Yoga ClassOn the occasion of Yoga Day, the only yoga instructor in Chefland, Chef, has received numerous queries.Chef has managed to free up ๐N hours from his busy schedule to conduct yoga sessions. There are two types of sessions that Chef offers:Type 11 session, which lasts 11 hour, and earns Chef ๐X rupees.Type 22 session, which lasts 22 hours, and earns Chef ๐ย (๐>๐)Yย (Y>X) rupees.Find the maximum amount of money Chef can earn in ๐N hours.Input FormatThe first line of input will contain a single integer ๐T, denoting the number of test cases.Each test case consists of three space-separated integers ๐,๐,๐N,X,Y โ the number of hours for which Chef will take yoga sessions, price of type 11 session, and price of type 22 session respectively.Output FormatFor each test case, output on a new line, the maximum amount of money Chef can earn in ๐N hours.Constraints1โค๐โค10001โคTโค10001โค๐โค10001โคNโค10001โค๐<๐โค1001โคX<Yโค100Sample 1:InputOutput34 5 73 1 25 2 620314Explanation:Test case 11: Chef will take type 11 sessions for all 44 hours. Thus, in 44 hours, he can take 44 sessions earning a total of 4โ 5=204โ 5=20 rupees.Test case 22: Chef will take one session of type 11 and one session of type 22. Thus, in 33 hours, he earns a total of 1โ 1+1โ 2=31โ 1+1โ 2=3 rupees.Test case 33: Chef will take one session of type 11 and two sessions of type 22. Thus, in 55 hours, he earns a total of 1โ 2+2โ 6=141โ 2+2โ 6=14 rupees.
Solution
The problem is asking to find the maximum amount of money Chef can earn in N hours. Chef has two types of sessions: Type 1 session, which lasts 1 hour, and earns Chef X rupees and Type 2 session, which lasts 2 hours, and earns Chef Y rupees (Y>X).
Here are the steps to solve this problem:
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First, we need to understand that Chef should always prefer to conduct a Type 2 session if possible because it earns him more money (Y>X). However, he can only conduct a Type 2 session if he has at least 2 hours available.
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For each test case, we first check if N is even or odd. If N is even, Chef can conduct N/2 Type 2 sessions. If N is odd, Chef can conduct (N-1)/2 Type 2 sessions and 1 Type 1 session.
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We then calculate the total money Chef can earn by multiplying the number of each type of session with their respective prices.
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However, there is a special case where conducting Type 1 sessions for all available hours can earn Chef more money. This happens when 2*X > Y. In this case, Chef should conduct Type 1 sessions for all N hours.
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Finally, we compare the money Chef can earn in the special case with the money he can earn in the normal case and return the maximum of the two.
Here is a Python code snippet that implements the above steps:
T = int(input())
for _ in range(T):
N, X, Y = map(int, input().split())
if 2*X > Y:
print(N*X)
else:
if N % 2 == 0:
print(N//2*Y)
else:
print(N//2*Y + X)
This code reads the number of test cases T and for each test case, it reads N, X, and Y. It then checks if 2X > Y and if so, it prints NX. Otherwise, it checks if N is even or odd and prints the maximum money Chef can earn accordingly.
Similar Questions
Yoga DaySurya Namaskar, also known as Sun Salutation, is a series of 1212 yoga poses performed in a sequence.Chef repeats this sequence of yoga poses multiple times during his session.Given that Chef has performed ๐N yoga poses, find the number of rounds of Surya Namaskar he completed during the session.Input FormatThe input will contain a single integer ๐N, denoting the number of yoga poses Chef performed during his session.Output FormatOutput the number of rounds of Surya Namaskar Chef completed during the session.Constraints1โค๐โค1001โคNโค100Sample 1:InputOutput554Explanation:Chef completed 44 rounds of Surya Namaskar comprising of 4โ 12=484โ 12=48 yoga poses.The fifth round was incomplete since Chef performed only 77 poses in that round.Sample 2:InputOutput110Explanation:Chef performed 1111 yoga poses whereas each Surya Namaskar consists of 1212 poses. Thus, he did not complete even 11 round of Surya Namaskar.Sample 3:InputOutput242Explanation:Since Chef performed 2424 yoga poses and each Surya Namaskar consists of 1212 poses, he completed 22 rounds of Surya Namaskar.
Savings AccountConsidering the new budget, Chef decided to keep all his money in a savings account.Chef has ๐X income sources where he gets ๐Y rupees from each source. However, due to bank restrictions, Chef can keep at most ๐Z rupees in the savings account.Find the minimum number of income sources Chef should reduce to maximise his savings without exceeding the account's limit.Input FormatThe first line of input will contain a single integer ๐T, denoting the number of test cases.Each test case consists of three space-separated integers ๐,๐,X,Y, and ๐Z โ the number of income sources, amount received from each source and the maximum limit of savings account respectively.Output FormatFor each test case, output on a new line, the minimum number of income sources Chef should reduce to maximise his savings without exceeding the account's limit.Constraints1โค๐โค1041โคTโค10 4 1โค๐,๐โค101โคX,Yโค101โค๐โค1001โคZโค100Sample 1:InputOutput31 2 42 4 63 10 12012Explanation:Test case 11: Chef can store a maximum of 44 rupees in his bank account. He has 11 income source from where he gets 22 rupees. Since the total income is not more than the limit of account, he does not need to decrease any income source.Test case 22: Chef can store a maximum of 66 rupees in his bank account. He has 22 income sources from where he gets 44 rupees each. Currently the total income is more than the limit of account.Chef will reduce one income source so that his total income becomes 44 rupees which lies within the limit of account.
Chef and Instant NoodlesChef has invented 11-minute Instant Noodles. As the name suggests, each packet takes exactly 11 minute to cook.Chef's restaurant has ๐X stoves and only 11 packet can be cooked in a single stove at any minute.How many customers can Chef serve in ๐Y minutes if each customer orders exactly 11 packet of noodles?Input FormatThe first and only line of input contains two space-separated integers ๐X and ๐Y โ the number of stoves and the number of minutes, respectively.Output FormatPrint a single integer, the maximum number of customers Chef can serve in ๐Y minutesConstraints1โค๐,๐โค10001โคX,Yโค1000Sample 1:InputOutput3 721Explanation:Chef cooks for ๐=7Y=7 minutes and can cook ๐=3X=3 packets per minute, one on each stove.So, the total number of packets that can be cooked is ๐โ ๐=3โ 7=21Xโ Y=3โ 7=21.Each person orders one packet, so the maximum number of customers that can be served is 2121.
Chef wants to conduct a lecture for which he needs to set up an online meeting of exactly ๐X minutes.The meeting platform supports a meeting of maximum 3030 minutes without subscription and a meeting of unlimited duration with subscription.Determine whether Chef needs to take a subscription or not for setting up the meet.Input FormatFirst line will contain ๐T, the number of test cases. Then the test cases follow.Each test case contains a single integer ๐X - denoting the duration of the lecture.Output FormatFor each test case, print in a single line, YES if Chef needs to take the subscription, otherwise print NO.You may print each character of the string in uppercase or lowercase (for example, the strings YES, yEs, yes, and yeS will all be treated as identical).Constraints1โค๐โค1001โคTโค1001โค๐โค1001โคXโค100Sample 1:InputOutput45033080YESNONOYESExplanation:Test Case 11: Without subscription, the platform allows only 3030 minutes of duration. Since Chef needs to conduct a lecture of 5050 minutes, he needs to buy the subscription.Test Case 22: Without subscription, the platform allows 3030 minutes of duration. Since Chef needs to conduct a lecture of 33 minutes only, he does not need to buy the subscription.Test Case 33: Without subscription, the platform allows 3030 minutes of duration. Since Chef needs to conduct a lecture of 3030 minutes only, he does not need to buy the subscription.Test Case 44: Without subscription, the platform allows only 3030 minutes of duration. Since Chef needs to conduct a lecture of 8080 minutes, he needs to buy the subscription.
Chef has finally decided to complete all of his pending assignments.There are ๐X assignments where each assignment takes ๐Y minutes to complete.Find whether Chef would be able to complete all the assignments in ๐Z days.Input FormatThe first line of input will contain a single integer ๐T, denoting the number of test cases.Each test case consists three space-separated integers ๐,๐,X,Y, and ๐Z โ the number of assignments, time taken in minutes to complete each assignment, and the number of days in which Chef wants to complete the assignments.Output FormatFor each test case, output on a new line, YES, if Chef would be able to complete all the assignments in ๐Z days. Otherwise, print NO.You may print each character of the string in uppercase or lowercase (for example, the strings YES, yEs, yes, and yeS will all be treated as identical).Constraints1โค๐โค1051โคTโค10 5 1โค๐,๐โค1001โคX,Yโค1001โค๐โค101โคZโค10Sample 1:InputOutput35 5 550 80 220 72 1YESNOYESExplanation:Test case 11: Chef needs a total of 5โ 5=255โ 5=25 minutes to complete all the assignments. Thus, he would be able to complete the assignments in 55 days.Test case 22: Chef needs a total of 50โ 80=400050โ 80=4000 minutes to complete all the assignments. However, in 22 days, he only has 2โ 24โ 60=28802โ 24โ 60=2880 minutes.Thus, he would not be able to complete the assignments in 22 days.Test case 33: Chef needs a total of 20โ 72=144020โ 72=1440 minutes to complete all the assignments. In 11 days, he has 24โ 60=144024โ 60=1440 minutes.Thus, he would be able to complete the assignments in 11 day.
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