## 10687 - Monitoring the Amazon

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Abednego
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Posts: 281
Joined: Tue Sep 10, 2002 5:14 am
Location: Mountain View, CA, USA
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### 10687 - Monitoring the Amazon

I probably have some stupid typo in my program, but could anyone please clarify what this means?

Code: Select all

``````The destinataries of a station are the two closest stations. In case of draw, the first criterion is to chose the westernmost (leftmost on the map), and the second criterion is to chose the southernmost (lowest on the map).
``````
This is my understanding:
1. For each station U, sort all other stations by distance to U.
2. In case of a tie, sort by smallest X-coordinate.
3. In case of a tie, sort by smallest Y-coordinate.
4. Make the first 2 stations U's neighbours in the directed graph.
5. Run DFS/BFS from U and make sure each vertex is reachable.
(I know that I need something smarter to avoid TLE, but this is the main idea.)

Is this correct? The problem never says what the X and Y coordinates correspond to in terms of left/right/up/down/N/S/E/W. Also, could there be several stations with the same XY-coordinates?

Thanks.
If only I had as much free time as I did in college...

sumankar
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Posts: 286
Joined: Tue Mar 25, 2003 8:36 am
Location: calcutta
Contact:

### Re: 10687

Abednego wrote:I probably have some stupid typo in my program, but could anyone please clarify what this means?

Code: Select all

``````The destinataries of a station are the two closest stations. In case of draw, the first criterion is to chose the westernmost (leftmost on the map), and the second criterion is to chose the southernmost (lowest on the map).
``````
It means - from each node, there are atmost two edges. These two edges connect the the first node to two closest nodes.Suppose there are 3 nodes at a given minimum distance `d' from U.Now U will have edges to
1. V ( where Vx < min(Wx, Tx) ), V,W & T are equidistant from U
2. V' ( where V'y < min(W'y, T'y) ), V',W' & T' are equidistant from U
This is my understanding:
1. For each station U, sort all other stations by distance to U.
2. In case of a tie, sort by smallest X-coordinate.
3. In case of a tie, sort by smallest Y-coordinate.
4. Make the first 2 stations U's neighbours in the directed graph.
5. Run DFS/BFS from U and make sure each vertex is reachable.
(I know that I need something smarter to avoid TLE, but this is the main idea.)

Is this correct? The problem never says what the X and Y coordinates correspond to in terms of left/right/up/down/N/S/E/W. Also, could there be several stations with the same XY-coordinates?

Thanks.
I am doing more or less the same thing.But the only difference is I am creating a graph that satisfies the given constraint.In your algo, it appears the constraint is satisfied for the starting vertex only(step 4).I may be wrong, of course.

And I used DFS(the same algo found in CLR), so dont worry, you dont need to go overboard.And I used EPSILON=1e-6.
One small hint:
the only method in my program that is longer than 12 lines is the create-graph() routine

Abednego
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Posts: 281
Joined: Tue Sep 10, 2002 5:14 am
Location: Mountain View, CA, USA
Contact:
Thanks for the reply. I fixed my bug. I don't know what it was. I just changed the way in which I was building the graph.
If only I had as much free time as I did in college...

New poster
Posts: 21
Joined: Fri May 25, 2007 11:52 am
Location: India

### Re: 10687 - Monitoring the Amazon

My code seems to do the same ... but I got TLE..

My algorithm

1)sort the possible outgoing N-1 edges from each vertex based on their length,minx and min y(criteria put in the descending order of their imp) and accept the first 2 edges
2)Once the Graph is built,run a BFS on top of it and count the number of nodes reached.

Please check my code and let me know of any key points.

Code: Select all

``````#include<iostream>
#include<algorithm>
#include<cstdlib>
#include<cmath>
#include<cstdio>
#include<map>
#include<vector>
#include<queue>
using namespace std;
#define white 0
#define grey 1
#define black 2

typedef struct node
{
int x;
int y;
int label;
char colour;
}node;

typedef struct edge
{
int outlabel;
int weight;
int x;
int y;
}edge;

typedef vector<int> neighbours;

int compare(const void *a,const void *b)
{
edge s1=*(edge*)a;
edge s2=*(edge*)b;
if(s1.weight >  s2.weight)
return 1;
else if(s1.weight <  s2.weight)
return -1;
else
{
if(s1.x > s2.x)
return 1;
else if(s1.x < s2.x)
return -1;
else if(s1.y > s2.y)
return 1;
else
return -1;
}

}

int BFS(node *vertices,neighbours *G,int source)
{
int count=0;
queue<int> q;
int u,size,v;
vertices[source].colour=grey;
q.push(source);
while(!q.empty())
{
u=q.front();
count++;
q.pop();
size=G[u].size();
for(int i=0;i<size;i++)
{
v=G[u][i];
if( vertices[v].colour==white)
{
vertices[v].colour=grey;
q.push(v);
}
}
}
return count;
}

int main()
{
int num_cases,N,num_edges;
int temp1,temp2;
int temp3;
while(cin>>N)
{
if(N==0)
return(0);
neighbours *G=new neighbours[N];
node *vertices=new node[N];
edge *edges=new edge[N-1];

for(int j=0;j<N;j++)
{
(vertices[j]).label=j;
cin>>temp1>>temp2;
vertices[j].x=temp1;
vertices[j].y=temp2;
vertices[j].colour=white;

}

temp3=0;

for(int j=0;j<N;j++)
{
int k=0;
for( temp3=0;temp3<j;temp3++)
{
edges[k].outlabel=temp3;
edges[k].weight=(vertices[j].x-vertices[temp3].x)*(vertices[j].x-vertices[temp3].x) +(vertices[j].y-vertices[temp3].y)*(vertices[j].y-vertices[temp3].y);
edges[k].x=vertices[temp3].x;
edges[k].y=vertices[temp3].y;
k++;
}

for(int temp3=j+1;temp3<N;temp3++)
{
edges[k].outlabel=temp3;
edges[k].weight=(vertices[j].x-vertices[temp3].x)*(vertices[j].x-vertices[temp3].x) +(vertices[j].y-vertices[temp3].y)*(vertices[j].y-vertices[temp3].y);
edges[k].x=vertices[temp3].x;
edges[k].y=vertices[temp3].y;
k++;
}

qsort(edges,N-1,sizeof(edge),compare);
for(int k=0;k<N-1 && k<2;k++)
{

G[j].push_back(edges[k].outlabel);
}

}
if(BFS(vertices,G,0)==N)
cout<<"All stations are reachable."<<'\n';
else
cout<<"There are stations that are unreachable."<<'\n';

}
}

``````

anacharsis
Learning poster
Posts: 69
Joined: Mon Feb 09, 2015 1:56 am

### Re: 10687 - Monitoring the Amazon

Some I/O

In:

Code: Select all

``````91
4 17 8 16 -20 12 12 1 15 -13 -5 -14 17 -1 7 -8 18 -12 -3 13 -18 -11 -16 -12 0 14 -10 -8 13 5 11 -9 -19 19 1 -16 -12 12 1 14 6 17 11 0 18 -2 18 -17 13 -3 3 11 -17 -1 11 10 19 -14 16 -2 7 3 0 10 -12 9 -10 -15 -1 -20 -5 -5 6 16 8 -12 -18 10 2 -5 9 -11 7 4 5 17 -4 -14 -17 -6 1 -11 -1 -16 -20 -5 13 16 18 -1 -12 -5 0 -19 -18 -6 11 5 -13 -9 -15 0 -20 -7 15 15 9 17 -12 -9 -15 7 11 7 13 4 17 13 14 8 -6 -6 -6 -20 8 -18 -6 5 -15 -17 -7 1 -17 -10 16 10 -8 14 12 4 -2 2 8 5 1 9 6 0 -8 9 -7 -3 15 13 -1 -7 11 -12 10 -19 -8 -16 -19 14 3 7 12 8 -5 10 4 -1
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1 9 2 9 -4 3 6 -9 19 16 6 2 -9 -19 14 -10 11 17 7 17 16 -16 0 10 8 13 -14 -3 3 -12 17 11 -16 -4 -6 -18 -4 11 -2 18 -8 -4 -6 -2 18 12 7 -6 -5 -5 -12 3 8 -3 6 -14 -17 -16 -14 10 0 8 7 16 -11 -19 -5 -3 16 -2 8 -1 16 7 -6 6 -17 6 15 -6 18 -12 -4 1 -10 14 1 14 11 11 -16 -3 0 -8 -1 -5 -4 -17 -18 3 -20 15 -11 12 -5 -19 8 -17 3 9 -3 8 1 0 -11 15 -5 11 -8 11 -16 10 -1 18 -5 0 0 -1 10 -4 -20 -15 10 10 6 7 16 8 10 18 14 -11 -9 3 16 -13 18 -20 2 13 -7 11 8 4 17 16 9 4
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2 1 -13 17 -13 -11 -4 15 2 -6 -5 -15 -15 13 10 13 17 15 -3 15 -4 -5 -16 2 -2 15 -4 -12 -14 -15 -15 -11 17 7 0 4 -11 -5 7 -10 -12 -15 -8 -4 -9 7
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24
-11 12 18 -10 9 16 -15 -17 -17 -15 18 -13 18 13 14 14 14 11 7 12 9 -4 2 -18 -14 -2 -17 10 -18 -9 -12 5 -6 10 15 16 3 -7 18 5 17 0 9 -12 -6 -14 -9 -2
92
18 -2 -3 0 7 -2 -2 -3 -11 -12 4 13 -12 -4 -6 -17 15 2 -11 9 4 -15 12 13 11 6 13 0 12 15 5 9 -15 5 -5 15 -11 1 17 3 -16 3 -16 12 -15 -11 -1 -7 15 14 -15 17 -13 18 0 6 -3 -17 -7 16 -15 -6 14 -2 6 -16 -15 -8 11 9 4 -8 14 -10 -14 -10 -13 19 -7 -6 -3 8 -17 5 12 -15 6 -8 -5 13 -18 -2 -20 -12 -19 -2 -13 10 13 16 -20 -16 10 -8 1 17 14 -16 -12 10 3 -8 13 -13 13 1 17 10 17 16 8 -17 -18 -18 -7 17 -9 19 -4 -1 17 2 11 12 -9 16 14 1 8 6 10 -18 18 7 -3 -12 5 -13 -8 -7 -18 1 1 -2 -2 -5 7 -5 14 12 -13 4 14 -1 8 -5 17 -14 4 -12 0 -5 17 -7 -9 -10 13 -11 12 18 -16 -9 -6 -15
86
-14 -6 5 -14 1 -19 5 13 -8 8 7 1 13 -3 -17 -3 14 -6 -10 4 -12 16 -10 7 -4 -15 1 4 -17 7 -6 -9 7 6 -5 -5 -6 -3 -19 12 -13 6 -2 -12 -13 -1 -11 -7 15 -12 -15 -16 19 11 -17 -8 -12 -12 -6 5 -5 -13 -3 -1 6 -5 -12 -2 16 17 9 -11 17 18 -6 -16 8 18 -17 11 -12 2 17 0 -14 -3 -2 -4 9 -9 -7 -9 17 -5 -9 15 -6 7 -12 -16 1 6 4 10 -19 -6 14 -10 16 19 18 -10 17 -7 10 -16 -10 2 -17 15 14 -8 19 15 -11 18 -13 3 -8 -11 8 4 0 15 -13 0 13 -8 -11 -4 -9 -18 1 -1 -7 -5 1 5 18 5 -11 -19 -8 -14 -6 -8 17 5 -2 14 -20 2 -14 -9 18 1 1 -14 19 10 -19 -10
48
-10 -15 -14 2 14 16 3 10 11 -4 -14 11 -7 -5 -1 -5 0 -4 14 -14 -16 -1 4 -14 8 3 14 12 11 9 -10 4 17 5 -12 -18 5 -11 13 2 8 -15 2 -5 9 18 7 6 -10 -8 14 -18 12 -12 -9 4 16 4 7 -5 0 13 -13 2 -16 -14 -1 -6 4 10 15 -17 7 -8 -16 12 6 12 -20 15 -3 -17 3 3 -3 -12 12 1 16 -2 3 -20 14 14 10 3
73
-14 0 -4 -19 4 13 -20 10 -7 -11 -5 3 -8 -10 12 4 6 8 -14 -14 -9 -15 -11 -1 -1 -14 12 -19 6 17 13 2 1 -13 8 -12 5 14 1 2 -1 16 -20 -1 -17 -16 -13 12 -13 -1 11 -8 -16 -14 5 -18 11 -17 0 12 5 18 11 -5 -19 19 8 -8 7 -19 13 -2 10 -19 -4 13 0 -19 2 19 14 -4 12 -11 3 12 5 19 14 -16 -16 8 18 -10 16 -6 -6 -4 -19 15 -15 -8 6 -1 -19 -8 5 1 -14 14 -5 12 -1 -11 -11 11 8 0 -13 0 12 -9 -15 -16 -10 -10 -9 6 -7 12 19 15 -4 -3 -2 18 5 12 -12 18 1 9 -19 9 -6 19
71
2 2 2 0 3 4 -5 -18 14 18 9 -3 18 8 -12 -19 -5 15 1 0 18 -18 -10 16 10 19 8 1 17 -16 3 19 6 0 5 7 13 -16 15 10 13 2 -7 16 19 -11 1 16 -20 9 0 6 12 -2 9 -18 -2 -20 -17 -5 -10 12 2 15 -5 6 -3 -19 19 12 7 18 18 11 19 10 3 -6 15 15 -7 11 -14 7 18 -16 -7 -18 10 -2 -2 -4 -5 2 4 7 -2 -19 0 -20 -18 -7 1 9 -20 -16 15 13 17 6 -4 -12 15 -8 4 -4 -8 8 13 -5 2 -2 -9 7 -13 -19 -9 12 16 11 5 -1 -2 -18 -20 1 -13 -6 -14 6 -10 4
92
0 -4 -18 -1 -12 11 -5 -3 -4 12 10 5 -12 -14 -9 -18 0 18 -12 -5 10 -2 8 -19 2 -15 -18 -17 -11 -15 -2 -3 -8 12 -16 -7 -2 17 -12 19 -19 13 15 5 -1 14 16 8 4 -1 17 -17 -11 -8 1 6 19 9 -10 6 6 3 -17 16 2 -5 16 19 19 -20 -17 -20 17 7 -5 -7 6 18 -20 18 -3 19 -11 -12 -11 7 -2 19 -6 12 -2 -20 13 -9 -10 4 9 -14 1 8 15 -10 7 11 4 -7 1 -19 5 -5 -3 -5 12 -1 11 8 18 0 -5 -12 5 2 -2 14 -13 -9 7 14 -19 4 -6 3 2 4 -19 7 -17 -10 -7 -6 -5 3 -14 -15 -4 -14 -17 0 -16 3 -6 16 18 8 19 14 15 -9 -7 -14 -14 -14 -9 -2 -4 -15 -15 -19 -8 8 -19 -11 -19 -18 -17 -6 -12 -12 -11 1 -15 5 -7 -18
35
16 -19 10 -4 15 8 -4 4 4 -17 19 -7 -17 -1 -3 -17 14 -2 -9 -10 2 1 10 8 17 -16 -2 3 5 -10 14 9 17 -11 -1 2 19 6 14 -5 -13 -19 -11 -16 -2 19 10 5 -1 -2 -3 -6 11 19 15 12 3 -15 1 12 13 11 7 6 -6 -10 -1 -18 -12 5
92
-1 10 -11 18 -12 -16 5 -1 2 17 -2 -2 2 -6 12 -7 -19 13 7 2 0 6 11 -18 -18 6 2 -1 5 1 -12 -4 8 14 -11 -1 -20 -5 -11 19 15 -6 5 -17 18 12 12 12 15 -8 -7 15 -5 19 -16 16 -4 -10 14 19 -19 6 -3 -20 -5 0 -17 -10 -17 5 7 10 11 -6 -2 -13 7 -14 6 6 -4 18 -16 3 16 8 -16 10 -16 1 -18 5 -12 -18 -8 -8 -6 -17 0 -19 4 2 -14 12 -5 1 -2 13 -13 -8 -12 -11 6 -13 18 3 8 12 -20 16 -10 -1 -14 17 17 9 -13 8 -12 -9 -11 -20 -5 2 -7 3 -6 -20 -16 15 -14 5 18 10 9 -1 -5 -16 -5 13 11 0 7 15 14 -8 -15 -3 -7 19 -19 11 8 6 -15 5 -19 -13 9 -9 4 -8 -20 -4 2 0 -12 -7 19 11 -5 -4 -15 14
63
-9 -15 19 -4 -3 19 18 -5 -3 -11 -11 9 1 -6 -9 4 2 -20 4 -14 -7 -18 2 1 3 -14 10 11 -16 18 3 -1 17 2 -13 3 3 -6 10 13 -20 9 14 -7 9 -12 -3 -19 2 15 10 16 -6 -14 15 -8 -18 -11 19 11 2 14 8 -10 -6 -9 11 17 -20 -3 9 19 16 18 3 17 0 -20 6 10 18 -1 2 -9 -1 5 4 14 7 -2 -15 5 -5 -14 -6 19 -1 -5 -1 -6 10 -8 1 9 -13 4 -15 6 -2 -15 0 -7 14 -13 3 -5 -19 5 18 -6 11 5 -6 2 -11 19
86
-20 10 -13 2 9 -16 3 11 -12 10 -5 -6 13 -7 -4 7 9 -3 -15 -4 -17 -3 10 -13 -10 2 -16 9 17 -11 -5 -14 -19 8 6 7 1 0 12 19 -20 -11 -12 -19 5 -5 0 18 3 0 -4 11 -19 18 -15 7 4 4 1 -3 -20 16 9 6 1 6 7 -2 1 15 -7 -12 6 -17 -13 -9 17 8 12 -19 -8 7 -14 15 -18 -8 -7 -3 12 9 -1 -5 -11 17 16 11 -19 6 14 -5 16 -13 19 11 3 3 18 -14 6 -9 1 -6 -14 7 12 -12 2 -8 -11 2 12 -6 -15 17 -9 8 -19 -6 7 12 15 19 -5 14 -15 -10 0 -15 -7 5 -10 -13 12 -7 16 -1 16 14 9 -7 -15 -20 10 -11 -5 5 8 -20 -10 14 -6 -20 -16 3 -16 18 -12 -12 15 -17 8 -2
19
13 12 -1 17 4 -10 2 -12 -19 3 -5 11 -15 16 -17 -3 -9 14 -5 9 18 -20 16 -15 3 -10 -8 19 -9 -20 8 -15 15 -3 1 -16 0 10
0
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AC out:

Code: Select all

``````There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
All stations are reachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
All stations are reachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
All stations are reachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
All stations are reachable.
There are stations that are unreachable.
All stations are reachable.
There are stations that are unreachable.
All stations are reachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
All stations are reachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
All stations are reachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
All stations are reachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
There are stations that are unreachable.
``````