arrays - Highest Percentage Increase -

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lets have following set of numbers representing values on time

1 2 3 10 1 20 40 60

now looking algorithm find highest percentage increase 1 time another. in above case, answer pair (1, 60), has 6000% increase.

so far, best algorithm can think of brute-force method. consider possible pairs using series of iterations:

1st iteration:

1-2 1-3 1-10 .. 1-60

2nd iteration

 2-3 2-10 2-1 ... 2-60

(etc.)

this has complexity o(n3).

i've been thinking approach. find strictly increasing sequences, , determine perecentage increase in strictly increasing sequences.

does other idea strike guys? please correct me if ideas wrong!

i may have misunderstood problem, seems want largest , smallest numbers, since 2 numbers matter. 

while true:     indexofmax = max(list)     indexofmin = min(list)     list.remove(indexofmax)     list.remove(indexofmin)     if(indexofmax < indexofmin)         contine     else if(indexofmax == indexofmin)         return -1     else         success

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