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In an array of 2N elements that is both 2-ordered and 3-ordered, what is the maximum number of positions that an element can be from its position if the Arrays were 1-ordered?
- a)1
- b)2
- c)N/2
- d)2N-1
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In an array of 2N elements that is both 2-ordered and 3-ordered, what...
An Arrays A [ 1 … n] is said to be k-ordered if
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A [i - k] < a="" [="" i="" ]="" />< a="" [i="" +="" />
for each i such that k < i="" />< n="" –="" />
For example, the Arrays 1 4 2 6 3 7 5 8 are 2- ordered.
Now come to question: Arrays are both 2 ordered and 3 ordered. i.e.
1 2 3 4 5 6 7 8
Now if the Arrays were 1-ordered then Arrays will be 1 2 3 4 5 6 7 8 maximum number of positions that an element can be from its position=1.
Most Upvoted Answer
In an array of 2N elements that is both 2-ordered and 3-ordered, what...
Given information:
- The array has 2N elements.
- The array is both 2-ordered and 3-ordered.
- We need to find the maximum number of positions an element can be from its position if the array were 1-ordered.
Definition of 2-ordered:
A 2-ordered array is an array where every element is either in its correct position or one position away from its correct position.
Definition of 3-ordered:
A 3-ordered array is an array where every element is either in its correct position or two positions away from its correct position.
Approach:
Since the array is both 2-ordered and 3-ordered, we can conclude that every element in the array is either in its correct position or at most two positions away from its correct position. Therefore, the maximum number of positions an element can be from its position if the array were 1-ordered is 1.
Explanation:
Let's assume that there is an element in the array that is more than one position away from its correct position if the array were 1-ordered. This means that the element is either three positions away or more.
If the element is three positions away from its correct position, it contradicts the fact that the array is 3-ordered. Similarly, if the element is more than three positions away, it contradicts both the 2-ordered and 3-ordered properties of the array.
Therefore, the maximum number of positions an element can be from its position if the array were 1-ordered is 1.
Conclusion:
The correct answer is option 'A' - 1.
- The array has 2N elements.
- The array is both 2-ordered and 3-ordered.
- We need to find the maximum number of positions an element can be from its position if the array were 1-ordered.
Definition of 2-ordered:
A 2-ordered array is an array where every element is either in its correct position or one position away from its correct position.
Definition of 3-ordered:
A 3-ordered array is an array where every element is either in its correct position or two positions away from its correct position.
Approach:
Since the array is both 2-ordered and 3-ordered, we can conclude that every element in the array is either in its correct position or at most two positions away from its correct position. Therefore, the maximum number of positions an element can be from its position if the array were 1-ordered is 1.
Explanation:
Let's assume that there is an element in the array that is more than one position away from its correct position if the array were 1-ordered. This means that the element is either three positions away or more.
If the element is three positions away from its correct position, it contradicts the fact that the array is 3-ordered. Similarly, if the element is more than three positions away, it contradicts both the 2-ordered and 3-ordered properties of the array.
Therefore, the maximum number of positions an element can be from its position if the array were 1-ordered is 1.
Conclusion:
The correct answer is option 'A' - 1.
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In an array of 2N elements that is both 2-ordered and 3-ordered, what is the maximum number of positions that an element can be from its position if the Arrays were 1-ordered?a)1b)2c)N/2d)2N-1Correct answer is option 'A'. Can you explain this answer?
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In an array of 2N elements that is both 2-ordered and 3-ordered, what is the maximum number of positions that an element can be from its position if the Arrays were 1-ordered?a)1b)2c)N/2d)2N-1Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In an array of 2N elements that is both 2-ordered and 3-ordered, what is the maximum number of positions that an element can be from its position if the Arrays were 1-ordered?a)1b)2c)N/2d)2N-1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an array of 2N elements that is both 2-ordered and 3-ordered, what is the maximum number of positions that an element can be from its position if the Arrays were 1-ordered?a)1b)2c)N/2d)2N-1Correct answer is option 'A'. Can you explain this answer?.
In an array of 2N elements that is both 2-ordered and 3-ordered, what is the maximum number of positions that an element can be from its position if the Arrays were 1-ordered?a)1b)2c)N/2d)2N-1Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In an array of 2N elements that is both 2-ordered and 3-ordered, what is the maximum number of positions that an element can be from its position if the Arrays were 1-ordered?a)1b)2c)N/2d)2N-1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an array of 2N elements that is both 2-ordered and 3-ordered, what is the maximum number of positions that an element can be from its position if the Arrays were 1-ordered?a)1b)2c)N/2d)2N-1Correct answer is option 'A'. Can you explain this answer?.
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