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 <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
#define pb push_back
#define ff first
#define ss second
const ll inf = numeric_limits<ll> :: max();
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int k, n; cin>>k>>n;
vector<pii> all;
ll out = 0;
while (n--){
char t1, t2; int x1, y1; cin>>t1>>x1>>t2>>y1;
if (t1 == t2){
out += abs(x1 - y1);
continue;
}
if (x1 > y1) swap(x1, y1);
all.pb({x1, y1});
}
n = (int) all.size();
vector<int> imp;
for (int i = 0; i < n; i++){
imp.pb(all[i].ff); imp.pb(all[i].ss);
}
ll mn = inf;
if (k == 1){
if (!all.empty()){
vector<int> f;
for (auto [x, y]: all){
f.pb(x); f.pb(y);
}
sort(f.begin(), f.end());
int x = f[(int) (f.size() - 1) / 2];
ll sum = 0;
for (int i: f){
sum += abs(i - x);
}
mn = sum + n;
}
}
else {
ll S = 0;
for (auto [x, y]: all){
S += (y - x);
}
int h = (int) imp.size();
auto solve = [&](vector<int> f){
if (f.empty()) return 0LL;
ll out = inf;
for (int i: f){
ll sum = 0;
for (int j: f){
sum += abs(i - j);
}
out = min(out, sum);
}
return out;
};
for (int j = 0; j < h; j++){
int i = imp[j];
ll sum = 0;
for (auto [x, y]: all){
if (x <= i && i <= y){
sum += (y - x);
}
}
vector<int> f1;
for (auto [x, y]: all){
if (y < i){
f1.pb(x);
f1.pb(y);
}
}
ll s1 = solve(f1);
for (auto [x, y]: all){
if (x > i){
s1 += ((x - i) + (y - i));
}
}
vector<int> f2;
for (auto [x, y]: all){
if (x > i){
f2.pb(x);
f2.pb(y);
}
}
ll s2 = solve(f2);
for (auto [x, y]: all){
if (y < i){
s2 += ((i - x) + (i - y));
}
}
mn = min(mn, sum + s1 + n);
mn = min(mn, sum + s2 + n);
}
}
if (mn == inf) mn = 0;
cout<<out + mn<<"\n";
}
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