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Copy pathmaximum-sum-increasing-subsequence.py
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maximum-sum-increasing-subsequence.py
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51 lines (42 loc) · 1.26 KB
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def msis(nums):
n = len(nums)
dp = [ nums[i] for i in range(n)]
indices = [None for i in nums]
best = 0
for i in range(1, n):
for j in range(i):
if nums[i] > nums[j] and dp[i] < dp[j] + nums[i]:
dp[i] = dp[j] + nums[i]
indices[i] = j
# print(indices)
if dp[i] >= dp[best]:
best = i
# print(best)
cur = best
seq = []
print(indices)
while cur:
print(cur, nums[cur], indices[cur])
seq.append(nums[cur])
cur = indices[cur]
return [dp[best], seq[::-1]]
# n = len(nums)
# dp = [ nums[i] for i in range(n)]
# indices = [[] for i in range(n)]
# best = 0
# for i in range(1, n):
# for j in range(i):
# if nums[i] > nums[j] and dp[i] < dp[j] + nums[i]:
# dp[i] = dp[j] + nums[i]
# indices[i].append(j)
# if dp[i] > dp[best]:
# best = i
# seq = []
# for i in indices[best]:
# seq.append(nums[i])
# seq.append(nums[best])
# return [dp[best], seq]
# print(msis([4,1,2,6,10,1,12]))
print(msis([-4,10,3,7,15]))
# print(msis([10,70,20,30,50,11,30]))
# print(msis([10, 15, 4, 5, 11, 14, 31, 25, 31, 23, 25, 31, 50]))