Tiny Big Tyny

easy
1. Given an array of integers, you have to find whether the given sequence contains any tiny-tiny-big sequence.
  2. Tiny-Tiny-Big sequence : Ai<Ak<Aj where i<j<k 
  3. You have to return true if the given array contains any such sequence otherwise false.
  
  Example
  In A=[3,1,4,2] : [1,4,2] is tiny-tiny-big seq (A1<A3<A2)

Input Format

Integer array

Output Format

boolean

Constraints

size of array < 15000

Notice

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Example

Input
66 
71 
39 
22 
44 
23 
48 
79 
16 
38 
22 
4 
51 
47 
32 
20 
71 
13 
32 
44 
40 
11 
47 
93 
41 
98 
66 
47 
36 
1 
92 
62 
67 
98 
14 
69 
64 
30 
5 
31 
81 
64 
68 
76 
27 
82 
0 
84 
94 
81 
49 
29 
44 
67 
19 
84 
56 
46 
87 
71 
13 
16 
42 
20 
34 
60 
36
Output
true
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