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The Longest Increasing Subsequence (LIS) problem is to find the length of the longest subsequence of a given sequence such that all elements of the subsequence are sorted in increasing order. For example, the length of LIS for {10, 22, 9, 33, 21, 50, 41, 60, 80} is 6
13 lines
489 B
Python
13 lines
489 B
Python
"""
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The Longest Increasing Subsequence (LIS) problem is to find the length of the longest subsequence of a given sequence such that all elements of the subsequence are sorted in increasing order. For example, the length of LIS for {10, 22, 9, 33, 21, 50, 41, 60, 80} is 6
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"""
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def LIS(arr):
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n= len(arr)
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lis = [1]*n
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for i in range(1, n):
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for j in range(0, i):
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if arr[i] > arr[j] and lis[i] <= lis[j]:
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lis[i] = lis[j] + 1
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return max(lis)
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