📄 4244594_tle.cpp
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#include <vector>
#include <stdio.h>
#include <algorithm>
using namespace std;
int f[1 << 15];
typedef pair <int, int> PII;
PII point[15];
int n;
vector <int> tp;
int num(int v)
{
int ret = 0;
while (v)
{
v &= v - 1;
ret++;
}
return ret;
}
int min(int a, int b)
{
return a < b ? a : b;
}
int ab(int v)
{
return v < 0 ? -v : v;
}
bool cmp(int a, int b)
{
if (point[a].second == point[b].second)
return point[a].first < point[b].first;
return point[a].second > point[b].second;
}
int area(int a, int b)
{
if (point[a].first == point[b].first)
return ab(point[a].second - point[b].second);
if (point[a].second == point[b].second)
return ab(point[a].first - point[b].first);
return ab((point[a].second - point[b].second) * (point[a].first - point[b].first));
}
int solve(vector <int> q, int status)
{
int m = 1 << q.size();
int i, j;
int ret = 0x3fffffff;
for (i = 0; i < q.size(); i++)
{
status ^= (1 << q[i]);
}
for (i = 0; i < m - 1; i++)
{
int tmp = status;
for (j = 0; j < q.size(); j++)
{
if (i & (1 << j))
{
status |= (1 << q[j]);
}
}
if (f[status] < ret)
ret = f[status];
status = tmp;
}
return ret;
}
int main()
{
int i, j, mx;
int x, y, k;
while (scanf("%d", &n) == 1, n)
{
for (i = 0; i < n; i++)
{
scanf("%d%d", &x, &y);
point[i] = make_pair(x, y);
}
mx = 1 << n;
f[0] = 0;
for (i = 1; i < mx; i++)
{
int v = num(i);
if (v == 1)
{
f[i] = 0x3fffffff;
continue;
}
tp.clear();
for (j = 0; j < n; j++)
{
if ((1 << j) & i)
{
tp.push_back(j);
}
}
sort(tp.begin(), tp.end(), cmp);
vector <int> tq;
f[i] = 0x3fffffff;
for (j = 1; j < tp.size(); j++)
{
int tmp = area(tp[0], tp[j]);
if (point[tp[0]].first == point[tp[1]].first)
{
tq.clear();
tq.push_back(tp[0]);
tq.push_back(tp[j]);
for (k = 0; k < tp.size(); k++)
{
if (k == 0 || k == j)
continue;
if (point[tp[k]].first == point[tp[0]].first + 1 &&
(point[tp[k]].second == point[tp[0]].second ||
point[tp[k]].second == point[tp[j]].second))
{
tq.push_back(tp[k]);
}
}
f[i] = min(f[i], tmp + solve(tq, i));
tq.clear();
tq.push_back(tp[0]);
tq.push_back(tp[j]);
for (k = 0; k < tp.size(); k++)
{
if (k == 0 || k == j)
continue;
if (point[tp[k]].first == point[tp[0]].first - 1 &&
(point[tp[k]].second == point[tp[0]].second ||
point[tp[k]].second == point[tp[j]].second))
{
tq.push_back(tp[k]);
}
}
f[i] = min(f[i], tmp + solve(tq, i));
continue;
}
if (point[tp[0]].second == point[tp[1]].second)
{
tq.clear();
tq.push_back(tp[0]);
tq.push_back(tp[j]);
for (k = 0; k < tp.size(); k++)
{
if (k == 0 || k == j)
continue;
if (point[tp[k]].second == point[tp[0]].second + 1 &&
(point[tp[k]].first == point[tp[0]].first ||
point[tp[k]].first == point[tp[j]].first))
{
tq.push_back(tp[k]);
}
}
f[i] = min(f[i], tmp + solve(tq, i));
tq.clear();
tq.push_back(tp[0]);
tq.push_back(tp[j]);
for (k = 0; k < tp.size(); k++)
{
if (k == 0 || k == j)
continue;
if (point[tp[k]].second == point[tp[0]].second - 1 &&
(point[tp[k]].first == point[tp[0]].first ||
point[tp[k]].first == point[tp[j]].first))
{
tq.push_back(tp[k]);
}
}
f[i] = min(f[i], tmp + solve(tq, i));
continue;
}
tq.clear();
tq.push_back(tp[0]);
tq.push_back(tp[j]);
for (k = 0; k < tp.size(); k++)
{
if (k == 0 || k == j)
continue;
if ((point[tp[k]].first == point[tp[0]].first &&
point[tp[k]].second == point[tp[j]].second) ||
(point[tp[k]].first == point[tp[j]].first &&
point[tp[k]].second == point[tp[0]].second))
{
tq.push_back(tp[k]);
}
}
f[i] = min(f[i], tmp + solve(tq, i));
}
}
printf("%d\n", f[mx - 1]);
}
return 0;
}
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