programming-examples/ruby/Arrays/MaximumOfSizeKSubArrays.rb

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2019-11-15 12:59:38 +01:00
#Given an array and number K,Print the maximum value in each sub-arrays of size K
#Time-complexity:O(nk),Auxiliary-space:O(1)
def find_max(a,k)
len=a.length
return -1 if len<k
for i in 0..len-k
max=a[i]
for j in i+1...i+k
if a[j]>max
max=a[j]
end
end
print "#{max} "
end
return
end
find_max([9,1,8,2,7,3,6,4,5,15,17],4)
#Optimized(Though the complexity is same asymptotically but the average running time is very much optimized)
#Check if max of last k-length subarray lies in the new window if yes then just compare the max and newly added element
def find_max(a,k)
len=a.length
return -1 if len<k
max=a[0]
max_index=0
for i in 0..len-k
unless max_index<i
if a[i+k-1]>max
max=a[i+k-1]
max_index=i+k-1
end
else
max=a[i]
max_index=i
for j in i...i+k
if a[j]>max
max=a[j]
max_index=j
end
end
end
print "#{max} "
end
return
end
find_max([1,2,3,1,4,5,2,3,6],3)
find_max([9,1,8,2,7,3,6,4,5,15,17],4)