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Sherlock and Cost
Sherlock and Cost
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testcase=int(input()) for i in range(testcase): n=int(input()) b=[int(x) for x in input().split(' ')]
maxi, max1 = 0, 0 for i in range(1,len(b)): curr, prev = b[i], b[i-1] newmaxi = max(maxi + abs(curr - prev), max1 + (curr - 1)) newmax1 = max(maxi + abs(1 - prev), max1) maxi, max1 = newmaxi, newmax1
print(max(maxi, max1))
python 3
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Sherlock Holmes, the renowned fictional detective created by Sir Arthur Conan Doyle, was known for his exceptional deductive reasoning and keen observation skills, solving complex mysteries that often left others baffled. However, these brilliant investigative skills came at a cost. Holmes frequently engaged in perilous pursuits, risking his life to solve cases. His relentless focus on unearthing the truth often took a toll check here on his mental and physical well-being, and his friendship with Dr. Watson sometimes strained under the pressure.
Here's a PHP solution to solve this problem:
Explanation:
Dynamic Programming Table (
dp
):dp[0]
: The maximum cost whenA[i]
is set to1
.dp[1]
: The maximum cost whenA[i]
is set toB[i]
.Transition between states:
i
from1
ton-1
, we updatedp[0]
anddp[1]
based on the previous values:A[i]
is1
, the cost can come from eitherA[i-1]
being1
orB[i-1]
.A[i]
isB[i]
, the cost can come from eitherA[i-1]
being1
orB[i-1]
.Final Result:
dp[0]
anddp[1]
at the end of the array, which represents the maximum cost achievable by either settingA[n-1]
to1
orB[n-1]
.This solution efficiently computes the desired result with a time complexity of
O(n)
, making it suitable for large inputs within the constraints.Sherlock Holmes, the world-renowned detective, is often depicted as a figure whose work transcends monetary concerns. However, the cost of his services is sometimes referenced subtly throughout Sir Arthur Conan Doyle's stories. While Sherlock's cases often involve the wealthy, like in The Adventure of the Speckled Band, he is also known to take on cases out of sheer intellectual curiosity, regardless of the client's ability to pay. Dr. Watson mentions in some instances wakeboard bindings that Holmes waived his fee entirely for those in dire straits, revealing that his primary motivation was solving complex mysteries, rather than financial gain.
In Arthur Conan Doyle's tales, Sherlock Holmes often grappled with the complexities of cost, not just in monetary terms but also in terms of personal sacrifice and societal impact. Whether it was the financial ramifications of his various cases or the toll they took on his personal life, the concept of cost was a recurring theme in his adventures. For instance, Holmes's unwavering commitment to solving mysteries often led him to neglect his own well-being and relationships, underscoring the idea that true dedication KN Car Brand can come at a significant personal cost. Similarly, his cases frequently involved financial transactions, revealing the intricate ways in which crime and economics intersect. Through Holmes's experiences, Doyle explored how the pursuit of justice and the resolution of intricate problems involve weighing not just the immediate costs but also the broader, often intangible, repercussions.
Thanks for this approach :) Very Understandable
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