#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pi = array<lint, 2>;
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
const int MAXT = 1050;
vector<lint> cy;
struct node {
int cmin, cmax, gap;
node() {
cmin = 2e9;
cmax = -2e9;
gap = 0;
}
node(int pos) {
cmin = cmax = pos;
gap = 0;
}
node(int fuck1, int fuck2, int fuck3) {
cmin = fuck1;
cmax = fuck2;
gap = fuck3;
}
node operator+(const node &nd) {
if (cmax < 0)
return nd;
if (nd.cmax < 0)
return *this;
return node(min(cmin, nd.cmin), max(cmax, nd.cmax), max({gap, nd.gap, nd.cmin - cmax - 1}));
}
};
struct seg {
node tree[MAXT];
int lim;
void init(int sz) {
for (lim = 1; lim <= sz; lim <<= 1)
;
fill(tree, tree + MAXT, node());
}
void upd(int x, int cnt) {
if (cnt == 0)
tree[x + lim] = node();
else
tree[x + lim] = node(cy[x]);
x += lim;
while (x > 1) {
x >>= 1;
tree[x] = tree[2 * x] + tree[2 * x + 1];
}
}
} seg;
int cnt[696];
pi dq[3][696];
int fr[3], ed[3];
lint sumFixed(lint r, lint c, lint g, vector<pi> a) {
vector<array<lint, 3>> e1, e2, event;
e1.push_back({0, -1, 0});
for (auto &[x, y] : a) {
e1.push_back({x, y, +1});
e2.push_back({x + 1 + g, y, -1});
}
e2.push_back({r + g, -1, 0});
event.resize(sz(e1) + sz(e2));
merge(all(e1), all(e2), event.begin());
vector<array<lint, 5>> chop;
memset(cnt, 0, sizeof(cnt));
for (int i = 0; i < sz(event);) {
int j = i;
while (j < sz(event) && event[i][0] == event[j][0]) {
if (event[j][2]) {
cnt[event[j][1]] += event[j][2];
seg.upd(event[j][1], cnt[event[j][1]]);
}
j++;
}
if (j == sz(event))
break;
lint lmax = seg.tree[1].cmin, rmax = c - 1 - seg.tree[1].cmax, lrmax = seg.tree[1].gap;
chop.push_back({event[i][0], event[j][0], lmax, rmax, lrmax});
i = j;
}
int k = 0;
memset(fr, 0, sizeof(fr));
memset(ed, 0, sizeof(ed));
lint ans = 1e18;
for (int i = 0; i < sz(chop); i++) {
if (chop[i][0] > g)
break;
while (k < sz(chop) && chop[k][0] < chop[i][0] + r) {
for (int t = 0; t < 3; t++) {
pi val = {chop[k][t + 2], chop[k][1]};
while (fr[t] < ed[t] && dq[t][ed[t] - 1][0] <= val[0])
ed[t]--;
dq[t][ed[t]++] = val;
}
k++;
}
lint dap[3] = {0, 0, 0};
for (int t = 0; t < 3; t++) {
while (fr[t] < ed[t] && dq[t][fr[t]][1] <= chop[i][0])
fr[t]++;
dap[t] = dq[t][fr[t]][0];
}
ans = min(ans, max(dap[0] + dap[1], dap[2]));
}
return ans;
}
map<pi, lint> mp;
// abandon
lint solve(lint r, lint c, lint dl, lint dr, vector<pi> a) {
if (mp.count({dl, dr}))
return mp[pi{dl, dr}];
vector<array<lint, 3>> e1, e2, event;
for (auto &[x, y] : a) {
int l = max(0ll, x - dl);
int e = min(r * 1ll, x + 1 + dr);
e1.push_back({l, y, +1});
e2.push_back({e, y, -1});
}
event.resize(sz(e1) + sz(e2));
merge(all(e1), all(e2), event.begin());
if (event[0][0] != 0 || event.back()[0] != r)
return mp[pi{dl, dr}] = 1e18;
lint lmax = 0, rmax = 0, lrmax = 0;
multiset<lint> gap;
memset(cnt, 0, sizeof(cnt));
set<lint> st;
for (int i = 0; i < sz(event);) {
int j = i;
while (j < sz(event) && event[i][0] == event[j][0]) {
if (event[j][2]) {
bool prv = (cnt[event[j][1]] > 0);
cnt[event[j][1]] += event[j][2];
bool cur = (cnt[event[j][1]] > 0);
lint y = cy[event[j][1]];
if (prv && !cur) {
auto it = st.find(y);
lint n = -1, p = -1;
if (next(it) != st.end()) {
n = *next(it);
gap.erase(gap.find(n - y));
}
if (it != st.begin()) {
p = *prev(it);
gap.erase(gap.find(y - p));
}
if (~n && ~p) {
gap.insert(n - p);
}
st.erase(it);
} else if (!prv && cur) {
auto it = st.lower_bound(y);
lint n = -1, p = -1;
if (it != st.end())
n = *it;
if (it != st.begin())
p = *prev(it);
if (~n && ~p)
gap.erase(gap.find(n - p));
if (~n)
gap.insert(n - y);
if (~p)
gap.insert(y - p);
st.insert(y);
}
}
j++;
}
if (j == sz(event))
break;
if (sz(st) == 0)
return 1e18;
lmax = max(lmax, *st.begin());
rmax = max(rmax, c - 1 - *st.rbegin());
if (sz(gap))
lrmax = max(lrmax, *gap.rbegin() - 1);
i = j;
}
return mp[pi{dl, dr}] = max(lmax + rmax, lrmax);
}
// n^3 log n
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, r, c;
cin >> r >> c >> n;
vector<pi> a(n);
for (auto &[x, y] : a)
cin >> x >> y, x--, y--;
sort(all(a));
lint ans = 1e18;
vector<lint> gaps = {0};
for (int i = 0; i < n; i++) {
cy.push_back(a[i][1]);
for (int j = i + 1; j < n; j++) {
if (a[j][0] > a[i][0])
gaps.push_back(a[j][0] - a[i][0] - 1);
}
}
sort(all(cy));
cy.resize(unique(all(cy)) - cy.begin());
for (int i = 0; i < n; i++) {
a[i][1] = lower_bound(all(cy), a[i][1]) - cy.begin();
}
seg.init(sz(cy));
for (int i = 0; i < n; i++) {
for (int j = n - 1; j >= 0; j--) {
if (a[i][0] + r - 1 - a[j][0] >= ans)
break;
ans = min(ans, a[i][0] + r - 1 - a[j][0] + solve(r, c, a[i][0], r - 1 - a[j][0], a));
}
}
sort(all(gaps));
gaps.resize(unique(all(gaps)) - gaps.begin());
for (auto &dy : gaps) {
if (ans > dy)
ans = min(ans, sumFixed(r, c, dy, a) + dy);
}
cout << ans << endl;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
336 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
336 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
336 KB |
Output is correct |
21 |
Correct |
8 ms |
340 KB |
Output is correct |
22 |
Correct |
7 ms |
460 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
7 ms |
724 KB |
Output is correct |
25 |
Correct |
7 ms |
560 KB |
Output is correct |
26 |
Correct |
10 ms |
976 KB |
Output is correct |
27 |
Correct |
8 ms |
984 KB |
Output is correct |
28 |
Correct |
9 ms |
724 KB |
Output is correct |
29 |
Correct |
5 ms |
984 KB |
Output is correct |
30 |
Correct |
6 ms |
984 KB |
Output is correct |
31 |
Correct |
6 ms |
984 KB |
Output is correct |
32 |
Correct |
7 ms |
984 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
336 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
336 KB |
Output is correct |
21 |
Correct |
8 ms |
340 KB |
Output is correct |
22 |
Correct |
7 ms |
460 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
7 ms |
724 KB |
Output is correct |
25 |
Correct |
7 ms |
560 KB |
Output is correct |
26 |
Correct |
10 ms |
976 KB |
Output is correct |
27 |
Correct |
8 ms |
984 KB |
Output is correct |
28 |
Correct |
9 ms |
724 KB |
Output is correct |
29 |
Correct |
5 ms |
984 KB |
Output is correct |
30 |
Correct |
6 ms |
984 KB |
Output is correct |
31 |
Correct |
6 ms |
984 KB |
Output is correct |
32 |
Correct |
7 ms |
984 KB |
Output is correct |
33 |
Correct |
10 ms |
724 KB |
Output is correct |
34 |
Correct |
154 ms |
984 KB |
Output is correct |
35 |
Correct |
244 ms |
976 KB |
Output is correct |
36 |
Correct |
317 ms |
984 KB |
Output is correct |
37 |
Correct |
232 ms |
984 KB |
Output is correct |
38 |
Correct |
292 ms |
984 KB |
Output is correct |
39 |
Correct |
288 ms |
984 KB |
Output is correct |
40 |
Correct |
304 ms |
984 KB |
Output is correct |
41 |
Correct |
709 ms |
724 KB |
Output is correct |
42 |
Correct |
555 ms |
984 KB |
Output is correct |
43 |
Correct |
292 ms |
984 KB |
Output is correct |
44 |
Correct |
164 ms |
984 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
3 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
5 ms |
340 KB |
Output is correct |
5 |
Correct |
4 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
340 KB |
Output is correct |
8 |
Correct |
4 ms |
340 KB |
Output is correct |
9 |
Correct |
4 ms |
340 KB |
Output is correct |
10 |
Correct |
5 ms |
340 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
340 KB |
Output is correct |
13 |
Correct |
2 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
340 KB |
Output is correct |
15 |
Correct |
3 ms |
340 KB |
Output is correct |
16 |
Correct |
4 ms |
336 KB |
Output is correct |
17 |
Correct |
4 ms |
340 KB |
Output is correct |
18 |
Correct |
5 ms |
364 KB |
Output is correct |
19 |
Correct |
4 ms |
340 KB |
Output is correct |
20 |
Correct |
4 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
3 ms |
340 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
5 ms |
340 KB |
Output is correct |
5 |
Correct |
4 ms |
340 KB |
Output is correct |
6 |
Correct |
2 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
340 KB |
Output is correct |
8 |
Correct |
4 ms |
340 KB |
Output is correct |
9 |
Correct |
4 ms |
340 KB |
Output is correct |
10 |
Correct |
5 ms |
340 KB |
Output is correct |
11 |
Correct |
4 ms |
384 KB |
Output is correct |
12 |
Correct |
2 ms |
340 KB |
Output is correct |
13 |
Correct |
2 ms |
340 KB |
Output is correct |
14 |
Correct |
2 ms |
340 KB |
Output is correct |
15 |
Correct |
3 ms |
340 KB |
Output is correct |
16 |
Correct |
4 ms |
336 KB |
Output is correct |
17 |
Correct |
4 ms |
340 KB |
Output is correct |
18 |
Correct |
5 ms |
364 KB |
Output is correct |
19 |
Correct |
4 ms |
340 KB |
Output is correct |
20 |
Correct |
4 ms |
340 KB |
Output is correct |
21 |
Correct |
43 ms |
460 KB |
Output is correct |
22 |
Correct |
100 ms |
512 KB |
Output is correct |
23 |
Correct |
400 ms |
1056 KB |
Output is correct |
24 |
Correct |
347 ms |
996 KB |
Output is correct |
25 |
Correct |
112 ms |
440 KB |
Output is correct |
26 |
Correct |
58 ms |
520 KB |
Output is correct |
27 |
Correct |
316 ms |
1000 KB |
Output is correct |
28 |
Correct |
108 ms |
524 KB |
Output is correct |
29 |
Correct |
80 ms |
440 KB |
Output is correct |
30 |
Correct |
142 ms |
556 KB |
Output is correct |
31 |
Correct |
107 ms |
480 KB |
Output is correct |
32 |
Correct |
105 ms |
512 KB |
Output is correct |
33 |
Correct |
280 ms |
1052 KB |
Output is correct |
34 |
Correct |
295 ms |
880 KB |
Output is correct |
35 |
Correct |
299 ms |
904 KB |
Output is correct |
36 |
Correct |
100 ms |
492 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
336 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
340 KB |
Output is correct |
19 |
Correct |
2 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
336 KB |
Output is correct |
21 |
Correct |
8 ms |
340 KB |
Output is correct |
22 |
Correct |
7 ms |
460 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
7 ms |
724 KB |
Output is correct |
25 |
Correct |
7 ms |
560 KB |
Output is correct |
26 |
Correct |
10 ms |
976 KB |
Output is correct |
27 |
Correct |
8 ms |
984 KB |
Output is correct |
28 |
Correct |
9 ms |
724 KB |
Output is correct |
29 |
Correct |
5 ms |
984 KB |
Output is correct |
30 |
Correct |
6 ms |
984 KB |
Output is correct |
31 |
Correct |
6 ms |
984 KB |
Output is correct |
32 |
Correct |
7 ms |
984 KB |
Output is correct |
33 |
Correct |
10 ms |
724 KB |
Output is correct |
34 |
Correct |
154 ms |
984 KB |
Output is correct |
35 |
Correct |
244 ms |
976 KB |
Output is correct |
36 |
Correct |
317 ms |
984 KB |
Output is correct |
37 |
Correct |
232 ms |
984 KB |
Output is correct |
38 |
Correct |
292 ms |
984 KB |
Output is correct |
39 |
Correct |
288 ms |
984 KB |
Output is correct |
40 |
Correct |
304 ms |
984 KB |
Output is correct |
41 |
Correct |
709 ms |
724 KB |
Output is correct |
42 |
Correct |
555 ms |
984 KB |
Output is correct |
43 |
Correct |
292 ms |
984 KB |
Output is correct |
44 |
Correct |
164 ms |
984 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
3 ms |
340 KB |
Output is correct |
47 |
Correct |
2 ms |
340 KB |
Output is correct |
48 |
Correct |
5 ms |
340 KB |
Output is correct |
49 |
Correct |
4 ms |
340 KB |
Output is correct |
50 |
Correct |
2 ms |
340 KB |
Output is correct |
51 |
Correct |
2 ms |
340 KB |
Output is correct |
52 |
Correct |
4 ms |
340 KB |
Output is correct |
53 |
Correct |
4 ms |
340 KB |
Output is correct |
54 |
Correct |
5 ms |
340 KB |
Output is correct |
55 |
Correct |
4 ms |
384 KB |
Output is correct |
56 |
Correct |
2 ms |
340 KB |
Output is correct |
57 |
Correct |
2 ms |
340 KB |
Output is correct |
58 |
Correct |
2 ms |
340 KB |
Output is correct |
59 |
Correct |
3 ms |
340 KB |
Output is correct |
60 |
Correct |
4 ms |
336 KB |
Output is correct |
61 |
Correct |
4 ms |
340 KB |
Output is correct |
62 |
Correct |
5 ms |
364 KB |
Output is correct |
63 |
Correct |
4 ms |
340 KB |
Output is correct |
64 |
Correct |
4 ms |
340 KB |
Output is correct |
65 |
Correct |
43 ms |
460 KB |
Output is correct |
66 |
Correct |
100 ms |
512 KB |
Output is correct |
67 |
Correct |
400 ms |
1056 KB |
Output is correct |
68 |
Correct |
347 ms |
996 KB |
Output is correct |
69 |
Correct |
112 ms |
440 KB |
Output is correct |
70 |
Correct |
58 ms |
520 KB |
Output is correct |
71 |
Correct |
316 ms |
1000 KB |
Output is correct |
72 |
Correct |
108 ms |
524 KB |
Output is correct |
73 |
Correct |
80 ms |
440 KB |
Output is correct |
74 |
Correct |
142 ms |
556 KB |
Output is correct |
75 |
Correct |
107 ms |
480 KB |
Output is correct |
76 |
Correct |
105 ms |
512 KB |
Output is correct |
77 |
Correct |
280 ms |
1052 KB |
Output is correct |
78 |
Correct |
295 ms |
880 KB |
Output is correct |
79 |
Correct |
299 ms |
904 KB |
Output is correct |
80 |
Correct |
100 ms |
492 KB |
Output is correct |
81 |
Correct |
818 ms |
800 KB |
Output is correct |
82 |
Correct |
926 ms |
896 KB |
Output is correct |
83 |
Correct |
674 ms |
972 KB |
Output is correct |
84 |
Execution timed out |
2070 ms |
2788 KB |
Time limit exceeded |
85 |
Halted |
0 ms |
0 KB |
- |