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hey everyone welcome back and lets write some more neat code today so today lets solve minimum number of flips to make the binary string alternating so this is a problem from todays leak code contest and im going to show you the big o of n squared time complexity solution and im going to show you how you can take that solution eliminate the repeated work and get a sliding window linear time solution and its a pretty clever solution at least theres some clever ways to code it up so were given a binary string and were allowed to make two operations on it lets see our string looks something like this were allowed to either take each value such as this first one and flip it to a zero thats the type two operation were allowed to do thats pretty simple right we can just take any of these and then flip them to the opposite value right zero to a one or one to a zero and theres another operation we can also do which is basically take an element from the beginning and move it to t