📄 3623244_ac_0ms_208k.cpp
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#include <vector>
#include <math.h>
#include <string>
#include <stdio.h>
#include <algorithm>
using namespace std;
typedef pair <int, int> PII;
PII point[15];
int num;
bool mark[15];
typedef vector <PII> VP;
VP triangle (3);
double maxArea;
string res;
double area(PII a, PII b, PII c)
{
return fabs(0.5 * ((a.second - c.second)
* (b.first - c.first)
- (b.second - c.second)
* (a.first - c.first)));
}
void solve()
{
double tmp;
string str = "";
triangle.clear();
for (int i = 0; i < num; i++)
{
if (mark[i] == true)
{
str += i + 'A';
triangle.push_back(point[i]);
}
}
tmp = area(triangle.at(0), triangle.at(1), triangle.at(2));
for (int j = 0; j < num; j++)
{
if (mark[j] == false)
{
double total = 0.0;
for (int i = 0; i < 3; i++)
{
total += area(point[j], triangle[i], triangle[(i + 1) % 3]);
}
if (total <= tmp)
{
return ;
}
}
}
if (tmp > maxArea)
{
maxArea = tmp;
res = str;
}
}
void dfs(int st, int n)
{
if (n == 0)
{
solve();
return ;
}
for (int i = st; i <= num - n; i++)
{
mark[i] = true;
dfs(i + 1, n - 1);
mark[i] = false;
}
}
int main()
{
int x, y;
while (scanf("%d", &num) == 1 && num != 0)
{
maxArea = 0;
for (int i = 0; i < num; i++)
{
scanf("%*s%d%d", &x, &y);
point[i] = make_pair(x, y);
}
fill_n(mark, num, false);
dfs(0, 3);
puts(res.c_str());
}
return 0;
}
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