55 lines
1.2 KiB
Ruby
55 lines
1.2 KiB
Ruby
#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)
|
|
|