This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <cmath>
#include <functional>
#include <fstream>
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <set>
#include <map>
#include <list>
#include <time.h>
#include <math.h>
#include <random>
#include <deque>
#include <queue>
#include <unordered_map>
#include <unordered_set>
#include <iomanip>
#include <cassert>
#include <bitset>
#include <sstream>
#include <chrono>
#include <cstring>
#include <numeric>
using namespace std;
#define int long long
const int INF = (int)1e18 + 7;
pair<int, int> _rd_()
{
string s;
int i;
cin >> s >> i;
assert(s == "A" || s == "B");
return { s == "B", i };
}
const int N = (int)1e5 + 7;
int k;
int n;
int extra;
pair<int, int> c1[N], c2[N];
signed main()
{
#ifdef ONPC
FILE* stream;
freopen_s(&stream, "input.txt", "r", stdin);
#else
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif
cin >> k >> n;
{
int y = 0;
for (int i = 1; i <= n; i++)
{
c1[i] = _rd_();
c2[i] = _rd_();
if (c1[i].first == c2[i].first)
{
extra += abs(c1[i].second - c2[i].second);
continue;
}
y++;
c1[y] = c1[i];
c2[y] = c2[i];
}
n = y;
}
if (n == 0)
{
cout << extra << "\n";
return 0;
}
if (k == 1)
{
vector<int> coords;
for (int i = 1; i <= n; i++)
{
coords.push_back(c1[i].second);
coords.push_back(c2[i].second);
}
nth_element(coords.begin(), coords.begin() + n - 1, coords.end());
int su = 0;
for (int i = 0; i < 2 * n; i++)
{
su += abs(coords[i] - coords[n - 1]);
}
cout << su + extra + n << "\n";
return 0;
}
assert(k == 2);
set<int> s;
for (int i = 1; i <= n; i++)
{
s.insert(c1[i].second);
s.insert(c2[i].second);
if (c1[i].second > c2[i].second)
{
swap(c1[i], c2[i]);
}
}
vector<pair<int, int>> segs;
for (int i = 1; i <= n; i++)
{
segs.push_back({ c1[i].second, c2[i].second });
if (!(segs.back().first <= segs.back().second))
{
swap(segs.back().first, segs.back().second);
}
assert(segs.back().first <= segs.back().second);
}
sort(segs.begin(), segs.end(), [&](pair<int, int> a, pair<int, int> b) {return a.first + a.second < b.first + b.second; });
vector<int> co;
for (auto& x : s)
{
co.push_back(x);
}
assert(!co.empty());
co.push_back(co.back());
assert((int)co.size() >= 2);
int sol = INF;
for (int px = 0; px < (int)co.size(); px++)
{
for (int py = px + 1; py < (int)co.size(); py++)
{
for (int from = 0; from <= (int)segs.size(); from++)
{
int cur = 0;
for (int i = 0; i < from; i++)
{
cur += abs(segs[i].first - co[px]) + abs(segs[i].second - co[px]);
}
for (int i = from; i < (int)segs.size(); i++)
{
cur += abs(segs[i].first - co[py]) + abs(segs[i].second - co[py]);
}
sol = min(sol, cur);
}
}
}
cout << sol + extra + n << "\n";
return 0;
}
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