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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#598563 | #9424. Stop the Castle 2 | ucup-team5062# | TL | 190ms | 25700kb | C++20 | 5.2kb | 2024-09-28 22:24:04 | 2024-09-28 22:24:05 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
constexpr int inf = (1 << 30) - 1;
vector<int> hopcroft_karp(int L, int R, const vector<vector<int>>& G) {
// for (const auto& v : G) {
// for (int x : v) {
// cerr << x << ' ';
// }
// cerr << endl;
// }
vector<int> match(L + R, -1);
while (true) {
vector<int> d(L, inf);
queue<int> que;
for (int i = 0; i < L; ++i) {
if (match[i] == -1) {
d[i] = 0;
que.push(i);
}
}
while (!que.empty()) {
int u = que.front();
que.pop();
for (const int i : G[u]) {
if (match[i] != -1 && d[match[i]] == inf) {
d[match[i]] = d[u] + 1;
que.push(match[i]);
}
}
}
bool fin = true;
vector<bool> vis(L);
auto dfs = [&](auto&& self, int v) -> bool {
vis[v] = true;
for (const int i : G[v]) {
if (match[i] == -1 || (d[match[i]] - d[v] == 1 && !vis[match[i]] && self(self, match[i]))) {
match[i] = v;
match[v] = i;
fin = false;
return true;
}
}
return false;
};
for (int i = 0; i < L; ++i) {
if (!vis[i] && match[i] == -1) {
dfs(dfs, i);
}
}
if (fin) break;
}
return match;
}
void solve() {
int N, M, K;
cin >> N >> M >> K;
K = M - K;
map<int, vector<pair<int, int>>> xtoy, ytox;
for (int i = 0; i < N; ++i) {
int x, y;
cin >> x >> y;
xtoy[x].emplace_back(y, i);
ytox[y].emplace_back(x, i);
}
vector<bool> is_target(2 * N);
for (auto &[x, v] : xtoy) {
ranges::sort(v);
for (int i = 1; i < (int)v.size(); ++i) {
is_target[v[i].second + 0] = true;
}
}
for (auto &[y, v] : ytox) {
ranges::sort(v);
for (int i = 1; i < (int)v.size(); ++i) {
is_target[v[i].second + N] = true;
}
}
vector<vector<int>> graph(2 * N);
map<pair<int, int>, int> edges;
vector<int> prevent(2 * N, -1);
vector<int> U(M), V(M);
for (int i = 0; i < M; ++i) {
int a, b;
cin >> a >> b;
int u = -1, v = -1;
if (const auto itr = xtoy.find(a); itr != end(xtoy)) {
const auto vec = itr->second;
const auto itr2 = lower_bound(begin(vec), end(vec), pair(b, -1));
if (itr2 != begin(vec) && itr2 != end(vec)) {
u = itr2->second + 0;
}
}
if (const auto itr = ytox.find(b); itr != end(ytox)) {
const auto vec = itr->second;
const auto itr2 = lower_bound(begin(vec), end(vec), pair(a, -1));
if (itr2 != begin(vec) && itr2 != end(vec)) {
v = itr2->second + N;
}
}
if (u == -1) swap(u, v);
if (u != -1) {
if (v != -1) {
graph[u].push_back(v);
graph[v].push_back(u);
edges[minmax(u, v)] = i;
prevent[u] = i;
prevent[v] = i;
} else {
prevent[u] = i;
}
}
U[i] = u;
V[i] = v;
}
const auto matching = hopcroft_karp(N, N, graph);
vector<int> good;
for (int i = 0; i < N; ++i) {
if (const int j = matching[i]; j != -1) {
const int e = edges[minmax(i, j)];
good.push_back(e);
// cerr << "Yay" << endl;
}
}
if ((int)good.size() > K) {
good.resize(K);
}
vector<bool> prevented(2 * N);
vector<bool> used(M);
for (const int e : good) {
used[e] = true;
for (const int x : {U[e], V[e]}) if (x != -1) {
prevented[x] = true;
}
}
for (int i = 0; i < 2 * N; ++i) {
if (const int e = prevent[i]; !prevented[i] && e != -1 && (int)good.size() < K) {
prevented[i] = true;
used[e] = true;
good.push_back(e);
}
}
int remain = K - (int)good.size();
for (int i = 0; i < M; ++i) {
if (remain > 0 && !used[i]) {
remain -= 1;
used[i] = true;
}
}
int ans = 0;
for (int i = 0; i < 2 * N; ++i) {
if (is_target[i] && !prevented[i]) {
ans += 1;
}
}
cout << ans << '\n';
vector<int> removed;
for (int i = 0; i < M; ++i) {
if (!used[i]) {
removed.push_back(i);
}
}
for (int i = 0; i < (int)removed.size(); ++i) {
cout << removed[i] + 1 << " \n"[i == (int)removed.size() - 1];
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int T;
cin >> T;
while (T--) {
solve();
}
return 0;
}
/*
1
8 6 4
1 3
2 1
2 6
4 1
4 7
6 1
6 3
6 6
2 3
3 1
4 3
4 6
5 2
6 4
*/
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3836kb
input:
3 8 6 4 1 3 2 1 2 6 4 1 4 7 6 1 6 3 6 6 2 3 3 1 4 3 4 6 5 2 6 4 3 2 1 10 12 10 10 10 11 1 4 1 5 1 3 2 1 1 2 1 2 2 2 3
output:
4 2 3 5 6 2 2 0 2 3
result:
ok ok 3 cases (3 test cases)
Test #2:
score: 0
Accepted
time: 108ms
memory: 6192kb
input:
1224 11 17 14 7 3 4 2 8 13 3 15 3 4 5 11 10 2 3 3 8 6 7 11 2 3 10 4 1 3 12 1 2 5 11 9 11 6 11 10 8 15 1 5 9 14 4 11 1 6 10 7 7 6 11 4 8 4 1 11 18 3 2 14 8 2 14 13 13 9 12 14 12 5 6 8 1 10 5 8 6 8 9 6 6 7 5 12 11 6 11 13 5 1 10 7 6 14 5 6 15 2 4 11 1 1 6 4 14 14 13 9 9 3 10 12 7 5 8 13 9 14 1 9 8 4 9...
output:
7 3 4 5 6 7 8 9 10 11 12 13 15 16 17 15 2 3 0 3 4 5 6 0 2 3 4 5 6 7 8 9 11 1 3 8 1 2 3 0 1 2 3 4 5 6 7 8 9 10 11 12 1 5 6 7 9 10 11 12 8 17 18 19 1 1 2 3 4 5 6 7 8 7 6 8 10 13 14 15 1 10 11 12 13 14 15 16 17 18 19 20 0 1 1 2 3 0 5 6 7 7 8 11 12 13 14 2 10 11 12 13 14 4 3 4 5 6 7 8 1 18 1 4 5 6 7 8 9...
result:
ok ok 1224 cases (1224 test cases)
Test #3:
score: 0
Accepted
time: 145ms
memory: 20892kb
input:
1 86289 95092 40401 911 152 1 270 135 731 347 451 283 224 338 348 166 346 12 385 590 763 939 176 232 405 122 946 397 576 795 823 546 392 33 718 444 598 954 852 185 662 732 539 172 681 386 148 76 495 163 323 711 201 278 363 531 275 66 122 823 983 234 792 102 188 985 423 804 712 419 636 318 331 693 68...
output:
81531 5400 5402 5403 5404 5406 5411 5414 5415 5416 5417 5423 5425 5426 5429 5431 5433 5434 5436 5437 5441 5444 5445 5447 5449 5451 5453 5455 5456 5460 5465 5466 5468 5470 5471 5475 5476 5477 5479 5480 5482 5483 5484 5486 5488 5490 5492 5493 5497 5498 5500 5502 5504 5506 5508 5511 5514 5515 5518 5520...
result:
ok ok 1 cases (1 test case)
Test #4:
score: 0
Accepted
time: 141ms
memory: 23248kb
input:
1 99057 99722 73893 190482185 274379837 466851670 641324039 993028302 128875937 102891466 286559847 526771097 794238060 565736409 328262657 190329865 598878250 790626887 595298790 308031819 470646878 341575785 374318107 257299536 280924175 64420619 591124604 323023069 811512407 428956686 719615923 2...
output:
82045 1 2 3 6 8 9 10 11 13 15 16 17 18 19 20 21 22 24 25 27 28 29 30 33 34 35 36 37 39 41 43 44 45 46 49 50 51 52 54 55 56 59 60 61 62 63 65 66 67 68 69 70 71 72 75 77 79 80 81 82 83 85 87 89 90 91 92 93 94 95 96 97 98 99 100 101 102 104 105 106 107 108 109 110 111 112 113 114 120 121 122 124 125 12...
result:
ok ok 1 cases (1 test case)
Test #5:
score: 0
Accepted
time: 190ms
memory: 25700kb
input:
1 100000 99990 27662 913840909 999962982 690565691 31053 780601566 31053 54745498 31053 5383 859704869 538124857 999962982 5383 66851413 1444277 31053 119603839 999962982 999833258 543197820 999833258 349576387 999833258 759855830 999833258 124692224 266093388 999962982 5383 100041707 999833258 2843...
output:
100891 65695 65697 65698 65699 65700 65701 65703 65704 65705 65706 65707 65708 65709 65710 65711 65712 65713 65715 65716 65717 65718 65720 65721 65722 65724 65725 65728 65730 65731 65732 65735 65736 65737 65738 65740 65741 65742 65743 65744 65745 65746 65748 65749 65750 65751 65752 65753 65754 65756...
result:
ok ok 1 cases (1 test case)
Test #6:
score: 0
Accepted
time: 83ms
memory: 21588kb
input:
1 100000 49997 21428 9380 4333 9380 999999628 49202 4333 49202 999999628 50841 4333 50841 999999628 77418 4333 77418 999999628 95722 4333 95722 999999628 144002 4333 144002 999999628 234359 4333 234359 999999628 268942 4333 268942 999999628 288956 4333 288956 999999628 415094 4333 415094 999999628 4...
output:
100000 7099 7100 7102 7103 7104 7105 7106 7108 7110 7113 7114 7117 7119 7120 7122 7123 7126 7130 7131 7134 7135 7136 7140 7145 7149 7151 7154 7157 7158 7160 7162 7163 7167 7170 7172 7173 7174 7176 7178 7182 7183 7184 7188 7190 7197 7199 7201 7204 7205 7206 7208 7209 7211 7212 7213 7215 7216 7221 722...
result:
ok ok 1 cases (1 test case)
Test #7:
score: -100
Time Limit Exceeded
input:
1 100000 100000 76259 931427170 7 367311884 7 646435086 7 925372747 7 371054451 7 284185575 7 695090232 7 889183241 7 615617158 7 44230096 7 293281406 7 758261641 7 685549291 7 679471071 7 723138327 7 901136691 7 49281635 7 256352978 7 320188290 7 78730802 7 788131872 7 234735044 7 664906524 7 79430...