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#4049. [Cerc2014] Mountainous landscape

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Description

You travel through a scenic landscape consisting mostly of mountains - there are n landmarks(peaks a
nd valleys) on your path. You pause for breath and wonder: which mountain are voucurrently seeing on
 the horizon?Formally: you are given a polygonal chain PIP2 - Pn in the plane. The x coordinates of 
thepoints are in strictly increasing order. For each segment PiPi+l of this chain, find the smallest
index j > i, for which any point of PjPj+i is visible from PiPi+l (lies strictly above the ravPiPi~+
l ) .
给定一个折线图,按x轴递增的顺序给出。对于每个条line,求出在它之后,且下标最小的line。输出这个下标。 
n<=100000

Input

The first line of input contains the number of test cases T. The descriptions of the test cases 
follow: 
The first line of each test case contains an integer 'n (2< = N < 100000) - the number ofvertices on
the chain.Each of the following n lines contains integer coordinates xi, Yi of the vertex Pi (0 < xi
 <X2 < ... < Xn≤ 109; 0 < Yi < 10^9).

Output

For each test case, output a single line contaimng n - I space-separated integers. These shouldbe th
e smallest indices of chain segments visible to the right, or o when no such segment exists.Problem 
B: Mountainous landscape

Sample Input

2
8
0 0
3 7
6 2
9 4
11 2
13 3
17 13
20 7
7
0 2
1 2
3 1
4 0
5 2
6 1
7 3

Sample Output

0 3 6 5 6 0 0
6 4 4 0 6 0

Hint

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