/* Author : Mychecksdead */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define MOD (1000000000+7)
#define MOD1 (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
const int N = 1e6+100, M = 1e5+10, K = 52, MX = 30;
ll solv(vector<pair<ll, ll>> &v){
if(v.size() == 0) return 0ll;
vector<pair<ll, ll>> pref(v.size());
vector<pair<ll, ll>> suf(v.size());
pref[0] = {0, 0};
for(int i = 1; i < v.size(); ++i){
pref[i] = pref[i - 1];
if(v[i].second == 1) pref[i].first += v[i].first, pref[i].second++;
}
suf[v.size() - 1] = {0, 0};
for(int i = v.size() - 2; i >= 0; --i){
suf[i] = suf[i + 1];
if(v[i].second == 0) suf[i].first += v[i].first, suf[i].second++;
}
ll best = 1e18;
for(int i = 0; i < v.size(); ++i){
if(abs(suf[i].second - pref[i].second) <= 1)
best = min(best, suf[i].first - pref[i].first + (v[i].first * pref[i].second) - (v[i].first * suf[i].second));
}
return best*2;
}
int k, n;
ll ans = 0;
pair<ll, ll> pref[N], suf[N], prefL[N], sufR[N];
array<ll, 2> a[N];
vector<int> L[N];
set<int> R[N];
void solve(){
cin >> k >> n;
int c = 0;
for(int i = 1; i <= n; ++i){
char c1, c2; ll x1, x2; cin >> c1 >> x1 >> c2 >> x2;
if(c1 == c2){
ans += abs(x1-x2);
}else{
++c;
a[c][0] = min(x1, x2);
a[c][1] = max(x1, x2);
ans += abs(x1-x2);
// cout << a[c][0] << ' '<< a[c][1] << '\n';
}
}
n = c;
if(n==0){
cout << ans;
return;
}
sort(a+1, a+1+n);
vector<pair<ll, ll>> v;
vector<array<ll, 3>> vv;
for(int i = 1; i <= n; ++i) v.pb({a[i][0], 0}), v.pb({a[i][1], 1});
for(int i = 1; i <= n; ++i) vv.pb({a[i][0], 0, i}), vv.pb({a[i][1], 1, i});
sort(all(v));
sort(all(vv));
pref[0] = {0, 0};
prefL[0] = {0, 0};
for(int i = 1; i < v.size(); ++i){
pref[i] = pref[i - 1];
prefL[i] = prefL[i - 1];
if(v[i].second == 1) pref[i].first += v[i].first, pref[i].second++;
if(v[i].second == 0) prefL[i].first += v[i].first, prefL[i].second++;
}
suf[v.size() - 1] = {0, 0};
sufR[v.size() - 1] = {0, 0};
for(int i = v.size() - 2; i >= 0; --i){
suf[i] = suf[i + 1];
sufR[i] = sufR[i + 1];
if(v[i].second == 0) suf[i].first += v[i].first, suf[i].second++;
if(v[i].second == 1) sufR[i].first += v[i].first, sufR[i].second++;
}
if(k == 1){
ll best = 1e18;
for(int i = 0; i < v.size(); ++i){
if(abs(suf[i].second - pref[i].second) <= 1)
best = min(best, suf[i].first - pref[i].first + (v[i].first * pref[i].second) - (v[i].first * suf[i].second));
}
cout << ans + best*2 + n;
}else{
ll best = 1e18;
for(int i = 0; i < n*2; ++i){
for(int j = i + 1; j < 2*n; ++j){
ll s = 0;
for(int k = 1; k <= n; ++k){
if(a[k][0] <= v[i].first && a[k][1] >= v[i].first) continue;
if(a[k][0] <= v[j].first && a[k][1] >= v[j].first) continue;
s += 2*min({abs(v[i].first - a[k][0]), abs(v[i].first - a[k][1]), abs(v[j].first - a[k][0]), abs(v[j].first - a[k][1])});
}
best = min(best, s);
}
}
cout << ans + best + n;
return;
suf[2*n] = {0, 0};
for(int i = 0; i < v.size(); ++i) R[pref[i].second - suf[i].second + M].insert(i);
for(int i = 0; i < v.size(); ++i){
if(abs(suf[i].second - pref[i].second) <= 1)
best = min(best, suf[i].first - pref[i].first + (v[i].first * pref[i].second) - (v[i].first * suf[i].second));
}
for(int i = 0; i < v.size(); ++i){
int x = pref[i].second - suf[i].second + M;
L[x].pb(i);
R[x].erase(i);
int y = suf[i + 1].second;
int y2 = -pref[i].second;
for(int j = y + M - 2; j <= y + M + 2; ++j){
for(int j2 = y2 + M - 2; j2 <= y2 + M + 2; ++j2){
for(auto l: L[j]){
for(auto r: R[j2]){
best = min(best,
(suf[l].first - suf[i + 1].first) - pref[l].first + (pref[l].second - (suf[l].second - suf[i + 1].second)) * v[l].first +
suf[r].first - (pref[r].first - pref[i].first) + ((pref[r].second - pref[i].second) - suf[r].second) * v[r].first
);
}
}
}
}
}
cout << ans + 2*best + n;
}
}
int main(){
cin.tie(0); ios::sync_with_stdio(0);
int tt = 1, aa;
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
while(tt--){
solve();
en;
}
cerr<<"time taken : "<<(float)clock()/CLOCKS_PER_SEC<<" seconds\n";
return 0;
}
Compilation message
bridge.cpp: In function 'long long int solv(std::vector<std::pair<long long int, long long int> >&)':
bridge.cpp:19:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
19 | for(int i = 1; i < v.size(); ++i){
| ~~^~~~~~~~~~
bridge.cpp:29:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
29 | for(int i = 0; i < v.size(); ++i){
| ~~^~~~~~~~~~
bridge.cpp: In function 'void solve()':
bridge.cpp:74:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
74 | for(int i = 1; i < v.size(); ++i){
| ~~^~~~~~~~~~
bridge.cpp:92:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
92 | for(int i = 0; i < v.size(); ++i){
| ~~^~~~~~~~~~
bridge.cpp:116:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
116 | for(int i = 0; i < v.size(); ++i) R[pref[i].second - suf[i].second + M].insert(i);
| ~~^~~~~~~~~~
bridge.cpp:117:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
117 | for(int i = 0; i < v.size(); ++i){
| ~~^~~~~~~~~~
bridge.cpp:121:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
121 | for(int i = 0; i < v.size(); ++i){
| ~~^~~~~~~~~~
bridge.cpp: In function 'int main()':
bridge.cpp:150:15: warning: unused variable 'aa' [-Wunused-variable]
150 | int tt = 1, aa;
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
72284 KB |
Output is correct |
2 |
Correct |
14 ms |
72284 KB |
Output is correct |
3 |
Correct |
18 ms |
80732 KB |
Output is correct |
4 |
Correct |
16 ms |
80732 KB |
Output is correct |
5 |
Correct |
16 ms |
80732 KB |
Output is correct |
6 |
Correct |
16 ms |
80984 KB |
Output is correct |
7 |
Correct |
16 ms |
80732 KB |
Output is correct |
8 |
Correct |
16 ms |
80732 KB |
Output is correct |
9 |
Correct |
20 ms |
80728 KB |
Output is correct |
10 |
Correct |
16 ms |
80728 KB |
Output is correct |
11 |
Correct |
20 ms |
80732 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
72284 KB |
Output is correct |
2 |
Correct |
14 ms |
72284 KB |
Output is correct |
3 |
Correct |
18 ms |
80732 KB |
Output is correct |
4 |
Correct |
17 ms |
80732 KB |
Output is correct |
5 |
Correct |
19 ms |
80732 KB |
Output is correct |
6 |
Correct |
16 ms |
80608 KB |
Output is correct |
7 |
Correct |
19 ms |
80728 KB |
Output is correct |
8 |
Correct |
16 ms |
80728 KB |
Output is correct |
9 |
Correct |
16 ms |
80732 KB |
Output is correct |
10 |
Correct |
16 ms |
80616 KB |
Output is correct |
11 |
Correct |
16 ms |
80732 KB |
Output is correct |
12 |
Correct |
63 ms |
110276 KB |
Output is correct |
13 |
Correct |
82 ms |
110012 KB |
Output is correct |
14 |
Correct |
84 ms |
105056 KB |
Output is correct |
15 |
Correct |
57 ms |
94916 KB |
Output is correct |
16 |
Correct |
69 ms |
107868 KB |
Output is correct |
17 |
Correct |
62 ms |
107868 KB |
Output is correct |
18 |
Correct |
64 ms |
108896 KB |
Output is correct |
19 |
Correct |
63 ms |
107880 KB |
Output is correct |
20 |
Correct |
71 ms |
108276 KB |
Output is correct |
21 |
Correct |
62 ms |
109896 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
15 ms |
72348 KB |
Output is correct |
2 |
Correct |
15 ms |
72284 KB |
Output is correct |
3 |
Correct |
18 ms |
80476 KB |
Output is correct |
4 |
Correct |
20 ms |
80644 KB |
Output is correct |
5 |
Correct |
17 ms |
80544 KB |
Output is correct |
6 |
Correct |
16 ms |
80476 KB |
Output is correct |
7 |
Correct |
17 ms |
80640 KB |
Output is correct |
8 |
Correct |
22 ms |
80644 KB |
Output is correct |
9 |
Correct |
20 ms |
80476 KB |
Output is correct |
10 |
Correct |
22 ms |
80476 KB |
Output is correct |
11 |
Correct |
20 ms |
80684 KB |
Output is correct |
12 |
Correct |
22 ms |
80672 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
72284 KB |
Output is correct |
2 |
Correct |
16 ms |
72452 KB |
Output is correct |
3 |
Correct |
20 ms |
80476 KB |
Output is correct |
4 |
Correct |
19 ms |
80608 KB |
Output is correct |
5 |
Correct |
17 ms |
80476 KB |
Output is correct |
6 |
Correct |
17 ms |
80660 KB |
Output is correct |
7 |
Correct |
17 ms |
80564 KB |
Output is correct |
8 |
Correct |
22 ms |
80560 KB |
Output is correct |
9 |
Correct |
22 ms |
80676 KB |
Output is correct |
10 |
Correct |
23 ms |
80480 KB |
Output is correct |
11 |
Correct |
22 ms |
80824 KB |
Output is correct |
12 |
Correct |
23 ms |
80688 KB |
Output is correct |
13 |
Execution timed out |
2086 ms |
80580 KB |
Time limit exceeded |
14 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
16 ms |
72336 KB |
Output is correct |
2 |
Correct |
16 ms |
72280 KB |
Output is correct |
3 |
Correct |
17 ms |
80680 KB |
Output is correct |
4 |
Correct |
20 ms |
80644 KB |
Output is correct |
5 |
Correct |
17 ms |
80636 KB |
Output is correct |
6 |
Correct |
17 ms |
80476 KB |
Output is correct |
7 |
Correct |
18 ms |
80472 KB |
Output is correct |
8 |
Correct |
24 ms |
80860 KB |
Output is correct |
9 |
Correct |
20 ms |
80684 KB |
Output is correct |
10 |
Correct |
23 ms |
80564 KB |
Output is correct |
11 |
Correct |
21 ms |
80640 KB |
Output is correct |
12 |
Correct |
22 ms |
80644 KB |
Output is correct |
13 |
Execution timed out |
2075 ms |
80792 KB |
Time limit exceeded |
14 |
Halted |
0 ms |
0 KB |
- |