#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
#define pb push_back
#define rsz resize
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
using pi = pair<int, int>;
#define f first
#define s second
#define mp make_pair
const int MX = 2006;
vector<pair<ll, pair<pi, pi>>> ed;
map<pi, int> cc;
template <int SZ> struct DSU {
int p[SZ], sz[SZ];
void init() {
for (int i = 0; i < SZ; i++) {
p[i] = i;
sz[i] = 1;
}
}
int find(int x) { return p[x] = (p[x] == x ? x : find(p[x])); }
void merge(int u, int v) {
int a = find(u);
int b = find(v);
if (a != b) {
if (sz[a] < sz[b]) { swap(a, b); }
p[b] = a;
sz[a] += sz[b];
}
}
};
DSU<MX> dsu;
bool ok[100005][4];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0);
int n, m, w, h;
cin >> n >> m >> w >> h;
vector<pair<pair<ll, ll>, int>> trees(n);
set<pi> pts;
auto dist = [&](int x1, int y1, int x2, int y2) {
return sqrt((1LL * (x2 - x1) * (x2 - x1)) +
(1LL * (y2 - y1) * (y2 - y1)));
};
auto add = [&](int x1, int y1, int x2, int y2, ll r1, ll r2) {
ll ndist = dist(x1, y1, x2, y2) - r1 - r2;
ed.pb(mp(ndist, mp(mp(x1, y1), mp(x2, y2))));
};
for (int i = 0; i < n; i++) {
cin >> trees[i].f.f >> trees[i].f.s >> trees[i].s;
pts.insert(mp(trees[i].f.f, trees[i].f.s));
cc[mp(0, trees[i].f.s)] = 3;
cc[mp(trees[i].f.f, h)] = 2;
cc[mp(w, trees[i].f.s)] = 1;
cc[mp(trees[i].f.f, 0)] = 0;
add(trees[i].f.f, trees[i].f.s, 0, trees[i].f.s, trees[i].s, 0);
add(trees[i].f.f, trees[i].f.s, trees[i].f.f, 0, trees[i].s, 0);
add(trees[i].f.f, trees[i].f.s, w, trees[i].f.s, trees[i].s, 0);
add(trees[i].f.f, trees[i].f.s, trees[i].f.f, h, trees[i].s, 0);
}
int cnt = 4;
for (pi x : pts) { cc[x] = cnt++; }
assert(cnt <= n + 4);
for (int i = 0; i < n; i++) for (int j = i + 1; j < n; j++) add(trees[i].f.f, trees[i].f.s, trees[j].f.f, trees[j].f.s, trees[i].s, trees[j].s);
vector<pair<pi, int>> qrs;
for (int i = 0; i < m; i++) {
int r, e;
cin >> r >> e;
e--;
qrs.pb(mp(mp(2 * r, e), i));
}
sort(all(qrs));
sort(all(ed));
dsu.init();
int p = 0;
memset(ok, true, sizeof(ok));
for (auto v : ed) {
while (p < sz(qrs) && qrs[p].f.f <= v.f) {
bool conn[4][4];
pair<pi, int> curr = qrs[p];
for (int i = 0; i < 4; i++) {
conn[i][i] = true;
for (int j = i + 1; j < 4; j++) {
conn[i][j] = (dsu.find(i) == dsu.find(j));
conn[j][i] = conn[i][j];
}
}
auto bad = [&](const int &x) {
return conn[(x - 1 < 0 ? 3 : x - 1)][x];
};
for (int i = 0; i < 4; i++) {
if (curr.f.s == i) { continue; }
if (bad(curr.f.s) || bad(i)) {
ok[curr.s][i] = false;
continue;
}
bool upok = conn[0][2];
bool sok = conn[1][3];
if (abs(curr.f.s - i) == 2) {
if (upok || sok) {
ok[curr.s][i] = false;
continue;
}
} else if (curr.f.s + i == 3) {
if (sok) {
ok[curr.s][i] = false;
continue;
}
} else if (upok) ok[curr.s][i] = false;
}
++p;
if (p >= sz(qrs)) break;
}
dsu.merge(cc[v.s.f], cc[v.s.s]);
}
for (int i = 0; i < m; i++) {
string ret = "";
for (int j = 0; j < 4; j++) if (ok[i][j]) ret += to_string(j + 1);
cout << ret << '\n';
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
579 ms |
51452 KB |
Output is correct |
2 |
Correct |
579 ms |
51432 KB |
Output is correct |
3 |
Correct |
565 ms |
51688 KB |
Output is correct |
4 |
Correct |
567 ms |
51396 KB |
Output is correct |
5 |
Correct |
578 ms |
51036 KB |
Output is correct |
6 |
Correct |
568 ms |
51444 KB |
Output is correct |
7 |
Correct |
508 ms |
50680 KB |
Output is correct |
8 |
Correct |
515 ms |
50432 KB |
Output is correct |
9 |
Correct |
1 ms |
860 KB |
Output is correct |
10 |
Correct |
1 ms |
860 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
35 ms |
3980 KB |
Output is correct |
2 |
Correct |
34 ms |
3984 KB |
Output is correct |
3 |
Correct |
34 ms |
3980 KB |
Output is correct |
4 |
Correct |
35 ms |
4156 KB |
Output is correct |
5 |
Correct |
34 ms |
3992 KB |
Output is correct |
6 |
Correct |
35 ms |
4084 KB |
Output is correct |
7 |
Correct |
33 ms |
3524 KB |
Output is correct |
8 |
Correct |
31 ms |
3536 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
579 ms |
51452 KB |
Output is correct |
2 |
Correct |
579 ms |
51432 KB |
Output is correct |
3 |
Correct |
565 ms |
51688 KB |
Output is correct |
4 |
Correct |
567 ms |
51396 KB |
Output is correct |
5 |
Correct |
578 ms |
51036 KB |
Output is correct |
6 |
Correct |
568 ms |
51444 KB |
Output is correct |
7 |
Correct |
508 ms |
50680 KB |
Output is correct |
8 |
Correct |
515 ms |
50432 KB |
Output is correct |
9 |
Correct |
1 ms |
860 KB |
Output is correct |
10 |
Correct |
1 ms |
860 KB |
Output is correct |
11 |
Correct |
35 ms |
3980 KB |
Output is correct |
12 |
Correct |
34 ms |
3984 KB |
Output is correct |
13 |
Correct |
34 ms |
3980 KB |
Output is correct |
14 |
Correct |
35 ms |
4156 KB |
Output is correct |
15 |
Correct |
34 ms |
3992 KB |
Output is correct |
16 |
Correct |
35 ms |
4084 KB |
Output is correct |
17 |
Correct |
33 ms |
3524 KB |
Output is correct |
18 |
Correct |
31 ms |
3536 KB |
Output is correct |
19 |
Correct |
620 ms |
53900 KB |
Output is correct |
20 |
Correct |
605 ms |
53848 KB |
Output is correct |
21 |
Correct |
615 ms |
53464 KB |
Output is correct |
22 |
Correct |
610 ms |
54776 KB |
Output is correct |
23 |
Correct |
596 ms |
53960 KB |
Output is correct |
24 |
Correct |
544 ms |
52764 KB |
Output is correct |