#include<iostream>
#include<vector>
#include<queue>
#include<stack>
#include<algorithm>
#include<limits.h>
#include<math.h>
#include<map>
#include<set>
#include<unordered_map>
#include<unordered_set>
#include<iomanip>
#include<cstring>
#include<random>
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
using namespace std;
vector<ll>calc(vector<pair<int,int>>arr){ // res[i] = how much would it cost if i setup 1 bridge for first i people
set<int>ptss;
for(auto[i,j]:arr){
ptss.insert(i);
ptss.insert(j);
}
vector<int>pts(ptss.begin(),ptss.end());
vector<ll>res(arr.size()+1,1e18);
multiset<int>points1,points2;
int mpc=0; // mid points count
int br=0;
ll cr=0;
for(int i=0;i<=(int)arr.size();i++){
if(i){
if(arr[i-1].first==pts[br])
mpc++;
else if(arr[i-1].first>pts[br])
points2.insert(arr[i-1].first);
else
points1.insert(arr[i-1].first);
if(arr[i-1].second==pts[br])
mpc++;
else if(arr[i-1].second>pts[br])
points2.insert(arr[i-1].second);
else
points1.insert(arr[i-1].second);
cr+=abs(arr[i-1].first-pts[br]);
cr+=abs(arr[i-1].second-pts[br]);
}
while(points1.size()+mpc<points2.size()&&br<(int)pts.size()-1){
cr-=1LL*(pts[br+1]-pts[br])*(points2.size()-points1.size()-mpc);
while(mpc--)
points1.insert(pts[br]);
br++;
mpc=(int)points2.count(pts[br]);
points2.erase(pts[br]);
}
while(points1.size()>points2.size()+mpc&&br>0){
cr-=1LL*(pts[br]-pts[br-1])*(points1.size()-points2.size()-mpc);
while(mpc--)
points2.insert(pts[br]);
br--;
mpc=(int)points1.count(pts[br]);
points1.erase(pts[br]);
}
/*for(int br:pts){
ll cr=0;
for(int j=0;j<i;j++)
cr+=abs(br-arr[j].first)+abs(br-arr[j].second);
res[i]=min(res[i],cr);
}
cout<<res[i]<<" "<<cr<<"\n";*/
res[i]=cr;
}
return res;
}
bool cmp(pair<int,int>a,pair<int,int>b){
return a.first+a.second<b.first+b.second;
}
void solve(){
int k,n;
cin>>k>>n;
vector<pair<int,int>>arr;
ll res1=0;
for(int i=0;i<n;i++){
char c1,c2;
int a1,a2;
cin>>c1>>a1>>c2>>a2;
if(c1==c2){
res1+=abs(a1-a2);
}else{
res1++;
if(a1>a2)
swap(a1,a2);
arr.emplace_back(a1,a2);
}
}
sort(arr.begin(),arr.end(),cmp);
vector<ll>r1=calc(arr);
reverse(arr.begin(),arr.end());
vector<ll>r2=calc(arr);
ll res2=1e18;
if(k==1){
res2=r1.back();
}else{ // k == 2
for(int i=0;i<=(int)arr.size();i++)
res2=min(res2,r1[i]+r2[(int)arr.size()-i]);
}
if(arr.size()==0)
res2=0;
cout<<res1+res2<<"\n";
}
int main(){
ios::sync_with_stdio(false);cout.tie(NULL);cin.tie(NULL);
//freopen("/Users/jakob/cp_testing/test.txt","r",stdin);//freopen("output.out","w",stdout);
int t=1;//cin>>t;
while(t--)solve();
return 0;
}
/*
1 5
B 0 A 4
B 1 B 3
A 5 B 7
B 2 A 6
B 1 A 7
24
2 5
B 0 A 4
B 1 B 3
A 5 B 7
B 2 A 6
B 1 A 7
22
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
456 KB |
Output is correct |
4 |
Correct |
2 ms |
444 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
2 ms |
696 KB |
Output is correct |
8 |
Correct |
2 ms |
488 KB |
Output is correct |
9 |
Correct |
1 ms |
856 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
2 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
2 ms |
604 KB |
Output is correct |
5 |
Correct |
2 ms |
604 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
604 KB |
Output is correct |
8 |
Correct |
2 ms |
604 KB |
Output is correct |
9 |
Correct |
2 ms |
604 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
2 ms |
604 KB |
Output is correct |
12 |
Correct |
64 ms |
12832 KB |
Output is correct |
13 |
Correct |
316 ms |
25324 KB |
Output is correct |
14 |
Correct |
155 ms |
13260 KB |
Output is correct |
15 |
Correct |
170 ms |
15028 KB |
Output is correct |
16 |
Correct |
50 ms |
9664 KB |
Output is correct |
17 |
Correct |
189 ms |
25216 KB |
Output is correct |
18 |
Correct |
159 ms |
24860 KB |
Output is correct |
19 |
Correct |
191 ms |
24760 KB |
Output is correct |
20 |
Correct |
77 ms |
11452 KB |
Output is correct |
21 |
Correct |
189 ms |
25008 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
456 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
2 ms |
600 KB |
Output is correct |
15 |
Correct |
2 ms |
604 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
2 ms |
604 KB |
Output is correct |
21 |
Correct |
2 ms |
604 KB |
Output is correct |
22 |
Correct |
2 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
344 KB |
Output is correct |
24 |
Correct |
2 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
600 KB |
Output is correct |
14 |
Correct |
1 ms |
480 KB |
Output is correct |
15 |
Correct |
2 ms |
604 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
460 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
2 ms |
480 KB |
Output is correct |
21 |
Correct |
2 ms |
604 KB |
Output is correct |
22 |
Correct |
2 ms |
604 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
2 ms |
604 KB |
Output is correct |
25 |
Correct |
65 ms |
12928 KB |
Output is correct |
26 |
Correct |
146 ms |
13760 KB |
Output is correct |
27 |
Correct |
313 ms |
23964 KB |
Output is correct |
28 |
Correct |
363 ms |
25204 KB |
Output is correct |
29 |
Correct |
338 ms |
25232 KB |
Output is correct |
30 |
Correct |
154 ms |
13692 KB |
Output is correct |
31 |
Correct |
54 ms |
9604 KB |
Output is correct |
32 |
Correct |
191 ms |
24896 KB |
Output is correct |
33 |
Correct |
149 ms |
24776 KB |
Output is correct |
34 |
Correct |
210 ms |
24512 KB |
Output is correct |
35 |
Correct |
80 ms |
11192 KB |
Output is correct |
36 |
Correct |
211 ms |
24868 KB |
Output is correct |
37 |
Correct |
17 ms |
4208 KB |
Output is correct |