#include <bits/stdc++.h>
#define int long long
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#define F first
#define S second
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()
#define kill(x) cout << x << "\n", exit(0);
#define pii pair<int, int>
#define pll pair<long long, long long>
#define endl "\n"
using namespace std;
typedef long long ll;
// typedef __int128_t lll;
typedef long double ld;
const int MAXN = (int)1e6 + 7;
const int MOD = 998244353;
const ll INF = (ll)1e18 + 7;
int n, m, k, tmp, t, tmp2, tmp3, tmp4, u, v, w, flag, q, ans, N, res, pre_ans;
pii arr[MAXN], di[MAXN];
char ch, ch2;
vector<int> vec[2][MAXN], cmp;
int ps[2][MAXN], cnt[2][MAXN];
inline int id(int n) { return lower_bound(all(cmp), n)-cmp.begin(); }
vector<pii> _vec;
map<int, int> _cnt;
inline int solve1() {
for (int i=1; i<=n; i++) {
u = arr[i].F; v = arr[i].S;
_cnt[u]++, _cnt[v]++, _vec.pb({u, v}), tmp2 += 2;
}
int res2 = 0;
for (auto cur: _cnt) {
tmp += cur.S;
// cout << cur.F << " " << cur.S << endl;
if (tmp+tmp >= tmp2) {
tmp = cur.F;
break;
}
}
for (auto cur:_cnt) res2 += abs(cur.F-tmp)*cur.S;
tmp = tmp2 = 0;
return res2+_vec.size();
}
/* Segment Tree */
#define mid ((l+r)>>1)
#define lid (id<<1)
#define rid (lid|1)
struct D {
int sigmaL, sigmaR, cnt;
D () {}
} seg[MAXN<<2], emp;
inline D merge(D x, D y) {
D res;
res.sigmaL = x.sigmaL+y.sigmaL;
res.sigmaR = x.sigmaR+y.sigmaR;
res.cnt = x.cnt+y.cnt;
return res;
}
void add(int s, int ind, int l=0, int r=N, int id=1) {
// if (id == 1) cout << "+ " << arr[ind].F << " " << arr[ind].S << " " << s << endl;
if (l+1 == r) {
seg[id].cnt++;
seg[id].sigmaL += arr[ind].F;
seg[id].sigmaR += arr[ind].S;
return;
}
if (s < mid) add(s, ind, l, mid, lid);
else add(s, ind, mid, r, rid);
seg[id] = merge(seg[lid], seg[rid]);
}
void rem(int s, int ind, int l=0, int r=N, int id=1) {
// if (id == 1) cout << "- " << arr[ind].F << " " << arr[ind].S << endl;
if (l+1 == r) {
seg[id].cnt--;
seg[id].sigmaL -= arr[ind].F;
seg[id].sigmaR -= arr[ind].S;
return;
}
if (s < mid) rem(s, ind, l, mid, lid);
else rem(s, ind, mid, r, rid);
seg[id] = merge(seg[lid], seg[rid]);
}
D get(int s, int t, int l=0, int r=N, int id=1) {
if (s >= t) return emp;
if (s <= l && t >= r) return seg[id];
if (t <= mid) return get(s, t, l, mid, lid);
if (s >= mid) return get(s, t, mid, r, rid);
return merge(get(s, t, l, mid, lid), get(s, t, mid, r, rid));
}
/* Segment Tree */
inline int cost(int x, int y) {
int res = ps[0][x] + ps[1][y];
D cur;
cur = get(0, id(cmp[x]+cmp[y])); res += cur.sigmaL - cmp[x]*cur.cnt;
cur = get(id(cmp[x]+cmp[y]), N); res += cmp[y]*cur.cnt - cur.sigmaR;
return res;
}
inline int delta(int x, int y) {
return -cnt[0][y+1]+cnt[1][y]-cost(x, y)+cost(x, y+1);
}
int32_t main() {
#ifdef LOCAL
freopen("inp.in", "r", stdin);
freopen("res.out", "w", stdout);
#else
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif
cin >> k >> n;
N = 0;
for (int i=1; i<=n; i++) {
cin >> ch >> u >> ch2 >> v;
if (ch == ch2) res += abs(u-v);
else arr[++N] = {u, v};
}
n = N; pre_ans = res; res += solve1();
if (k == 1) kill(res);
for (int i=1; i<=n; i++) {
u = arr[i].F; v = arr[i].S;
if (u > v) swap(arr[i].F, arr[i].S);
pre_ans += abs(arr[i].F-arr[i].S)+1;
cmp.pb(u); cmp.pb(v); cmp.pb(u+v);
}
sort(all(cmp));
cmp.resize(unique(all(cmp))-cmp.begin());
N = cmp.size(); emp.sigmaL = emp.sigmaR = emp.cnt = 0;
// cout << "@ " << endl;
// for (int u:cmp) cout << u << " ";
// cout << endl;
for (int i=1; i<=n; i++) {
u = di[i].F = id(arr[i].F);
v = di[i].S = id(arr[i].S);
cnt[0][u]++; cnt[1][v]++;
vec[0][u].pb(i); vec[1][v].pb(i);
}
tmp = tmp2 = 0;
for (int i=0; i<N; i++) {
ps[0][i] = cmp[i]*tmp2-tmp;
for (int ind:vec[1][i]) {
tmp2++;
tmp += arr[ind].S;
}
}
tmp = tmp2 = 0;
for (int i=N-1; i>=0; i--) {
ps[1][i] = tmp-cmp[i]*tmp2;
for (int ind:vec[0][i]) {
tmp2++;
tmp += arr[ind].F;
}
}
// for (int i=1; i<=n; i++) add(id(arr[i].F+arr[i].S), i);
ans = INF;
int j = 1;
for (int i=0; i<N; i++) {
for (auto ind:vec[0][i]) {
if (di[ind].S >= j) continue;
rem(id(arr[ind].F+arr[ind].S), ind);
}
while (j+1 < N && (j <= i || delta(i, j) <= 0)) {
for (auto ind:vec[1][j]) {
if (di[ind].F <= i) continue;
add(id(arr[ind].F+arr[ind].S), ind);
}
j++;
}
// cout << "! " << i << " " << j << " " << pre_ans+2*cost(i, j) << endl;
ans = min(ans, pre_ans+2*cost(i, j));
}
// for (int i=0; i<N; i++) {
// vector<int> temp;
// for (int j=i+1; j<N; j++) {
// // cout << "! " << i << " " << j << " : " << cmp[i] << " " << cmp[j] << " : " << cost(i, j) << " " << pre_ans+2*cost(i, j) << endl;
// ans = min(ans, pre_ans+2*cost(i, j));
// for (auto ind:vec[1][j]) {
// if (di[ind].F <= i) continue;
// temp.pb(ind); add(id(arr[ind].F+arr[ind].S), ind);
// }
// }
// for (auto ind:temp) rem(id(arr[ind].F+arr[ind].S), ind);
// }
// cout << ans << " " << res << endl;
cout << min(ans, res) << endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
30 ms |
47432 KB |
Output is correct |
2 |
Correct |
29 ms |
47288 KB |
Output is correct |
3 |
Correct |
30 ms |
47308 KB |
Output is correct |
4 |
Correct |
31 ms |
47452 KB |
Output is correct |
5 |
Correct |
36 ms |
47436 KB |
Output is correct |
6 |
Correct |
30 ms |
47432 KB |
Output is correct |
7 |
Correct |
31 ms |
47460 KB |
Output is correct |
8 |
Correct |
32 ms |
47440 KB |
Output is correct |
9 |
Correct |
31 ms |
47440 KB |
Output is correct |
10 |
Correct |
35 ms |
47468 KB |
Output is correct |
11 |
Correct |
31 ms |
47612 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
31 ms |
47432 KB |
Output is correct |
2 |
Correct |
31 ms |
47328 KB |
Output is correct |
3 |
Correct |
31 ms |
47432 KB |
Output is correct |
4 |
Correct |
33 ms |
47456 KB |
Output is correct |
5 |
Correct |
36 ms |
47456 KB |
Output is correct |
6 |
Correct |
33 ms |
47432 KB |
Output is correct |
7 |
Correct |
31 ms |
47484 KB |
Output is correct |
8 |
Correct |
34 ms |
47432 KB |
Output is correct |
9 |
Correct |
35 ms |
47440 KB |
Output is correct |
10 |
Correct |
34 ms |
47276 KB |
Output is correct |
11 |
Correct |
39 ms |
47432 KB |
Output is correct |
12 |
Correct |
51 ms |
51924 KB |
Output is correct |
13 |
Correct |
133 ms |
64184 KB |
Output is correct |
14 |
Correct |
80 ms |
52668 KB |
Output is correct |
15 |
Correct |
92 ms |
57480 KB |
Output is correct |
16 |
Correct |
54 ms |
52164 KB |
Output is correct |
17 |
Correct |
95 ms |
63160 KB |
Output is correct |
18 |
Correct |
105 ms |
63928 KB |
Output is correct |
19 |
Correct |
123 ms |
63928 KB |
Output is correct |
20 |
Correct |
56 ms |
52252 KB |
Output is correct |
21 |
Correct |
98 ms |
64440 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
33 ms |
47444 KB |
Output is correct |
2 |
Correct |
33 ms |
47308 KB |
Output is correct |
3 |
Correct |
33 ms |
47440 KB |
Output is correct |
4 |
Correct |
37 ms |
47440 KB |
Output is correct |
5 |
Correct |
38 ms |
47452 KB |
Output is correct |
6 |
Correct |
35 ms |
47432 KB |
Output is correct |
7 |
Correct |
32 ms |
47412 KB |
Output is correct |
8 |
Incorrect |
34 ms |
47432 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
33 ms |
47176 KB |
Output is correct |
2 |
Correct |
31 ms |
47600 KB |
Output is correct |
3 |
Correct |
35 ms |
47432 KB |
Output is correct |
4 |
Correct |
32 ms |
47432 KB |
Output is correct |
5 |
Correct |
38 ms |
47316 KB |
Output is correct |
6 |
Correct |
34 ms |
47432 KB |
Output is correct |
7 |
Correct |
35 ms |
47440 KB |
Output is correct |
8 |
Incorrect |
35 ms |
47432 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
34 ms |
47272 KB |
Output is correct |
2 |
Correct |
35 ms |
47432 KB |
Output is correct |
3 |
Correct |
33 ms |
47252 KB |
Output is correct |
4 |
Correct |
34 ms |
47432 KB |
Output is correct |
5 |
Correct |
36 ms |
47484 KB |
Output is correct |
6 |
Correct |
35 ms |
47440 KB |
Output is correct |
7 |
Correct |
31 ms |
47432 KB |
Output is correct |
8 |
Incorrect |
32 ms |
47440 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |