Online JudgeProblem SetAuthorsOnline ContestsUser
Web Board
Home Page
F.A.Qs
Statistical Charts
Problems
Submit Problem
Online Status
Prob.ID:
Register
Update your info
Authors ranklist
Current Contest
Past Contests
Scheduled Contests
Award Contest
User ID:
Password:
  Register
Language:
Stump Removal
Time Limit: 1000MSMemory Limit: 65536K
Total Submissions: 3724Accepted: 1932

Description

Always thinking of the cows' grazing experience, FJ has found that he must remove N (1 <= N <= 50,000) unsightly stumps from the pasture. The stumps are conveniently arranged in a straight line and numbered 1..N with each stump having some height H_i (1 <= H_i <= 10,000).

FJ will use the traditional high explosives to destroy the stumps. These high explosives are formulated to destroy adjacent stumps as long as those adjacent stumps are strictly shorter than the nearest stump being destroyed. The blast can continue past the closest adjacent stump to the next adjacent stump if it is even shorter than the nearest stump just destroyed. As soon as a stump encountered by the blast wave is not shorter, though, no more destruction occurs on that side of the target stump (the other side follows the same rules with whatever stumps might appear there).

Consider a line of nine stumps with these heights:

              1 2 5 4 3 3 6 6 2
If FJ blows up the third stump (with height 5), then the second stump will also be destroyed (height 2) and the first stump (height 1) will also be destroyed. Likewise, the fourth stump (height 4) and fifth stump (height 3) will be destroyed since they are successively shorter, leaving the line like this:

              * * * * * 3 6 6 2
Two more explosives (at stumps 7 and 8) will destroy the rest.

Help FJ determine the minimum number of explosive charges he needs to destroy the stumps.

Input

Line 1: A single integer, N

Lines 2..N+1: Line i+1 contains H_i

Output

Lines 1..?: Each line contains one integer which is the index of a stump to blow up. The indices must be listed in increasing order.

Sample Input

9
1
2
5
4
3
3
6
6
2

Sample Output

3
7
8

Source

[Submit]   [Go Back]   [Status]   [Discuss]

Home Page   Go Back  To top


All Rights Reserved 2003-2013 Ying Fuchen,Xu Pengcheng,Xie Di
Any problem, Please Contact Administrator