P21487 [HackerEarth] Ashima is moody, and like most girlfriend suffers from serious mood swings. Currently, looking at Pankaj's interest in numbers, she got interested in them too. To protect himself from se
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题目描述

Ashima is moody, and like most girlfriend suffers from serious mood swings. Currently, looking at Pankaj's interest in numbers, she got interested in them too. To protect himself from serious emotional blackmail, he has given Ashima some numbers to play with. Ashima being a loving girlfriend that she is, is not satisfied with playing with the numbers alone and wants Pankaj to play with her too.

She has written down the numbers in a line and is asking Pankaj to tell her the median from some starting position to another. Pankaj has answered some such queries of her, but being playful that she is, she wants to play more. Pankaj needs your help in answering her queries.
Definition: The median of a sequence of numbers is the middle element of that sequence when the sequence is sorted. For even number of elements in the sequence, the first of the middle two elements is called the median.
Input

The first line of the input contains N, the number of integers Pankaj gave Ashima to play with.
Next N lines contains one integer each, one of the numbers of the number given by Pankaj.
Next line contains an integer Q, the number of queries asked by Ashima. Next Q lines contain a pair of space separated integers (i, j), implying that Ashima is interested in the median of numbers in the sequence from i^th position to the j^th position (both included, 1-based indexing, i ≤ j).

Output:
Q lines, each containing the median for that particular query.
Constraints
1 ≤ N ≤ 1414
1 ≤ Q ≤ N^2
Each of the numbers in the sequence given by Pankaj to Ashima will be positive and fit into an integer.

Note: Large I/O. Be careful with certain languages.

SAMPLE INPUT
5
1
2
3
4
5
10
1 1
1 2
1 3
1 4
1 5
2 2
2 4
3 3
4 4
5 5

SAMPLE OUTPUT
1
1
2
2
3
2
3
3
4
5

输入格式

见题面

输出格式

见题面

样例输入
100 158260522 877914575 602436426 24979445 861648772 623690081 433933447 476190629 262703497 211047202 971407775 628894325 731963982 822804784 450968417 430302156 982631932 161735902 880895728 923078537 707723857 189330739 910286918 802329211 404539679 303238506 317063340 492686568 773361868 125660016 650287940 839296263 462224593 492601449 384836991 191890310 576823355 782177068 404011431 818008580 954291757 160449218 155374934 840594328 164163676 797829355 138996221 501899080 353195922 545531545 910748511 350034067 913575467 470338674 824284691 533206504 180999835 31262034 138344965 677959980 131381221 846045895 208032501 346948152 973708325 506147731 893229302 816248153 298309896 37119022 455797489 215208399 190870607 189766466 554374432 137831502 694053968 47628333 469187475 409233792 810900084 888987010 799979694 87027328 575207354 421624712 666538409 871216480 597902643 509928121 727751951 14723492 265804420 569328197 234828607 807497925 360472167 537560717 613363438 889089200 5050 70 98 15 53 24 93 11 77 3 13 19 82 16 46 11 95 20 74 18 65 42 60 42 85 2 86 47 70 10 86 3 84 55 68 11 23 73 88 38 55 39 43 75 80 20 79 62 75 70 75 2 36 15 95 10 24 16 73 46 65 60 92 60 74 10 89 6 92 48 88 28 28 20 24 21 45 81 93 77 92 35 51 22 43 50 59 69 91 16 18 34 69 2 74 51 80 39 100 51 89 40 54 57 93 16 48 50 68 87 91 54 93 93 98 36 44 43 78 33 62 15 67 25 59 35 86 60 78 1 98 13 63 16 83 40 87 51 87 34 96 79 96 41 60 19 29 6 48 38 91 17 68 88 89 14 60 7 84 69 89 53 78 48 72 30 61 72 72 52 63 74 96 1 21 1 65 35 39 17 74 31 51 23 32 21 68 58 67 5 67 49 67 37 66 17 62 66 88 31 71 53 54 49 92 4 47 11 13 13 43 65 66 23 55 40 92 77 87 35 99 16 37 65 95 61 68 1 74 63 75 25 76 65 68 40 73 3 72 73 77 46 56 13 48 41 100 31 56 51 52 1 23 8 76 7 55 86 98 57 100 33 91 95 100 26 71 44 79 6 74 37 50 10 12 47 57 6 6 4 84 63 64 26 29 11 22 69 88 2 87 35 83 53 72 28 53 33 70 8 98 62 62 66 95 66 83 42 63 53 92 71 73 30 65 95 96 10 14 47 56 73 92 14 80 31 85 75 91 52 72 9 30 30 50 47 81 8 36 71 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样例输出
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