TheAlgorithms-Python/dynamic_programming/longest_increasing_subsequence_O(nlogn).py
cclauss e6eaa078e2
Pytest the entire repo (#980)
* Pytest the entire repo

* Do each directory for now...

* YAML files hate tabs

* Add more requirements

* pip install opencv-python

* Comment out FTP

* Add pandas and sklearn to requirements

* Comment out FTP, graphs, machine_learning, maths, neural_network, project_euler

* Update .travis.yml

* Comment out Data structures

* if __name__ == "__main__":

* pytest --ignore=

* pytest .

* Update .travis.yml

* pytest . --doctest-modules --ignore=${IGNORE}

* Ignore --ignore because it just hangs
2019-07-10 06:59:39 +02:00

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855 B
Python

from __future__ import print_function
#############################
# Author: Aravind Kashyap
# File: lis.py
# comments: This programme outputs the Longest Strictly Increasing Subsequence in O(NLogN)
# Where N is the Number of elements in the list
#############################
def CeilIndex(v,l,r,key):
while r-l > 1:
m = (l + r)/2
if v[m] >= key:
r = m
else:
l = m
return r
def LongestIncreasingSubsequenceLength(v):
if(len(v) == 0):
return 0
tail = [0]*len(v)
length = 1
tail[0] = v[0]
for i in range(1,len(v)):
if v[i] < tail[0]:
tail[0] = v[i]
elif v[i] > tail[length-1]:
tail[length] = v[i]
length += 1
else:
tail[CeilIndex(tail,-1,length-1,v[i])] = v[i]
return length
if __name__ == "__main__":
v = [2, 5, 3, 7, 11, 8, 10, 13, 6]
print(LongestIncreasingSubsequenceLength(v))