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Define Rn to be the maximum amount earned by cutting a rod of length n meters into one or more pieces of integer length and selling them. For i>0, let p[i] denote the selling price of a rod whose length is i meters. Consider the array of prices:
p[1]=1, p[2]=5, p[3]=8, p[4]=9, p[5]=10, p[6]=17, p[7]=18 
Which of the following statements is/are correct about R7?
  • a)
    R7=18
  • b)
    R7=19
  • c)
    R7 is achieved by three different solutions
  • d)
    R7 cannot be achieved by a solution consisting of three pieces
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
Define Rn to be the maximum amount earned by cutting a rod of length n...
According to given data,
Number of pieces    Possible max profits with combination of rod size 
7    7 (1, 1, 1, 1, 1, 1, 1)
6    10 (2, 1, 1, 1, 1, 1)
5    13 (2, 2, 1, 1, 1)
4    16 (2, 2, 2, 1)
3    18 (2, 2, 3)
2    18 (6, 1)
1    18 (7)
Therefore, Option (A) and (C) are correct.
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Most Upvoted Answer
Define Rn to be the maximum amount earned by cutting a rod of length n...
According to given data,
Number of pieces    Possible max profits with combination of rod size 
7    7 (1, 1, 1, 1, 1, 1, 1)
6    10 (2, 1, 1, 1, 1, 1)
5    13 (2, 2, 1, 1, 1)
4    16 (2, 2, 2, 1)
3    18 (2, 2, 3)
2    18 (6, 1)
1    18 (7)
Therefore, Option (A) and (C) are correct.
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Community Answer
Define Rn to be the maximum amount earned by cutting a rod of length n...
Rn represents the maximum amount that can be earned by cutting a rod of length n meters into one or more pieces of integer length and selling them.

For example, let's say we have a rod of length n = 4 meters. The possible ways to cut the rod are:

1. Cutting it into 4 pieces of length 1 meter each. In this case, the total amount earned would be 4 * price_per_meter.
2. Cutting it into 2 pieces of length 2 meters each. In this case, the total amount earned would be 2 * 2 * price_per_meter.
3. Cutting it into 1 piece of length 1 meter and 1 piece of length 3 meters. In this case, the total amount earned would be 1 * price_per_meter + 3 * price_per_meter.

Rn is calculated by considering all possible ways to cut the rod and finding the maximum amount earned among them. It can be represented using the following formula:

Rn = max(price[i] + Rn-i) for all i from 1 to n,

where price[i] represents the price per meter for a rod of length i and Rn-i represents the maximum amount that can be earned by cutting a rod of length (n-i) meters.
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Define Rn to be the maximum amount earned by cutting a rod of length n meters into one or more pieces of integer length and selling them. For i>0, let p[i] denote the selling price of a rod whose length is i meters. Consider the array of prices:p[1]=1, p[2]=5, p[3]=8, p[4]=9, p[5]=10, p[6]=17, p[7]=18Which of the following statements is/are correct about R7?a)R7=18b)R7=19c)R7 is achieved by three different solutionsd)R7 cannot be achieved by a solution consisting of three piecesCorrect answer is option 'A,C'. Can you explain this answer?
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Define Rn to be the maximum amount earned by cutting a rod of length n meters into one or more pieces of integer length and selling them. For i>0, let p[i] denote the selling price of a rod whose length is i meters. Consider the array of prices:p[1]=1, p[2]=5, p[3]=8, p[4]=9, p[5]=10, p[6]=17, p[7]=18Which of the following statements is/are correct about R7?a)R7=18b)R7=19c)R7 is achieved by three different solutionsd)R7 cannot be achieved by a solution consisting of three piecesCorrect answer is option 'A,C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Define Rn to be the maximum amount earned by cutting a rod of length n meters into one or more pieces of integer length and selling them. For i>0, let p[i] denote the selling price of a rod whose length is i meters. Consider the array of prices:p[1]=1, p[2]=5, p[3]=8, p[4]=9, p[5]=10, p[6]=17, p[7]=18Which of the following statements is/are correct about R7?a)R7=18b)R7=19c)R7 is achieved by three different solutionsd)R7 cannot be achieved by a solution consisting of three piecesCorrect answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Define Rn to be the maximum amount earned by cutting a rod of length n meters into one or more pieces of integer length and selling them. For i>0, let p[i] denote the selling price of a rod whose length is i meters. Consider the array of prices:p[1]=1, p[2]=5, p[3]=8, p[4]=9, p[5]=10, p[6]=17, p[7]=18Which of the following statements is/are correct about R7?a)R7=18b)R7=19c)R7 is achieved by three different solutionsd)R7 cannot be achieved by a solution consisting of three piecesCorrect answer is option 'A,C'. Can you explain this answer?.
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