結果

問題 No.1615 Double Down
ユーザー hitonanode
提出日時 2021-11-03 15:57:13
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 10,064 bytes
コンパイル時間 2,047 ms
コンパイル使用メモリ 156,912 KB
最終ジャッジ日時 2025-01-25 10:58:19
ジャッジサーバーID
(参考情報)
judge3 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 27 WA * 27
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each
    (begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l
    .second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l
    .second - r.second); }
template <typename T> vector<T> sort_unique(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end());
    return vec; }
template <typename T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <typename T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T, size_t sz> ostream &operator<<(ostream &os, const array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']';
    return os; }
#if __cplusplus >= 201703L
template <typename... T> istream &operator>>(istream &is, tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return
    is; }
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << '
    ,'), ...);}, tpl); return os << ')'; }
#endif
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os;
    }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T, typename TH> ostream &operator<<(ostream &os, const unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ',';
    os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os;
    }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}';
    return os; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << '(' << pa.first << ',' << pa.second << ')';
    return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v
    .second << ','; os << '}'; return os; }
template <typename TK, typename TV, typename TH> ostream &operator<<(ostream &os, const unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp)
    os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9
    ;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET <<
    endl
#define dbgif(cond, x) ((cond) ? cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ <<
    COLOR_RESET << endl : cerr)
#else
#define dbg(x) (x)
#define dbgif(cond, x) 0
#endif
// Bipartite matching of undirected bipartite graph (Hopcroft-Karp)
// https://ei1333.github.io/luzhiled/snippets/graph/hopcroft-karp.html
// Comprexity: O(EsqrtV)
// int solve(): enumerate maximum number of matching / return -1 (if graph is not bipartite)
struct BipartiteMatching {
int V;
std::vector<std::vector<int>> to; // Adjacency list
std::vector<int> dist; // dist[i] = (Distance from i'th node)
std::vector<int> match; // match[i] = (Partner of i'th node) or -1 (No parter)
std::vector<int> used, vv; //
std::vector<int> color; // color of each node(checking bipartition): 0/1/-1(not determined)
BipartiteMatching() = default;
BipartiteMatching(int V_) : V(V_), to(V_), match(V_, -1), used(V_), color(V_, -1) {}
void add_edge(int u, int v) {
assert(u >= 0 and u < V and v >= 0 and v < V and u != v);
to[u].push_back(v);
to[v].push_back(u);
}
void bfs() {
dist.assign(V, -1);
std::queue<int> q;
for (int i = 0; i < V; i++) {
if (!color[i] and !used[i]) { q.emplace(i), dist[i] = 0; }
}
while (!q.empty()) {
int now = q.front();
q.pop();
for (auto nxt : to[now]) {
int c = match[nxt];
if (c >= 0 and dist[c] == -1) { q.emplace(c), dist[c] = dist[now] + 1; }
}
}
}
bool dfs(int now) {
vv[now] = true;
for (auto nxt : to[now]) {
int c = match[nxt];
if (c < 0 or (!vv[c] and dist[c] == dist[now] + 1 and dfs(c))) {
match[nxt] = now, match[now] = nxt;
used[now] = true;
return true;
}
}
return false;
}
bool _color_bfs(int root) {
color[root] = 0;
std::queue<int> q;
q.emplace(root);
while (!q.empty()) {
int now = q.front(), c = color[now];
q.pop();
for (auto nxt : to[now])
if (color[nxt] == -1)
color[nxt] = !c, q.emplace(nxt);
else if (color[nxt] == c)
return false;
}
return true;
}
int solve() {
for (int i = 0; i < V; i++)
if (color[i] == -1) {
if (!_color_bfs(i)) return -1;
}
int ret = 0;
while (true) {
bfs();
vv.assign(V, false);
int flow = 0;
for (int i = 0; i < V; i++)
if (!color[i] and !used[i] and dfs(i)) flow++;
if (!flow) break;
ret += flow;
}
return ret;
}
friend std::ostream &operator<<(std::ostream &os, const BipartiteMatching &bm) {
os << "{N=" << bm.V << ':';
for (int i = 0; i < bm.V; i++)
if (bm.match[i] > i) { os << '(' << i << '-' << bm.match[i] << "),"; }
os << '}';
return os;
}
};
int main() {
int N, M, K, L;
cin >> N >> M >> K >> L;
vector<vector<pint>> z2xy(K + 1);
REP(l, L) {
int x, y, z;
cin >> x >> y >> z;
x--, y--;
z2xy[z].emplace_back(x, y + N);
}
vector<int> vtp(N + M, 3);
vector<pint> pending_edges;
lint ret = 0;
int nmatch = 0, n_del_match = 0;
IREP(z, z2xy.size()) {
for (auto [u, v] : z2xy[z]) {
if (vtp[u] == 3 and vtp[v] == 3) pending_edges.emplace_back(u, v);
}
BipartiteMatching bm(N + M);
for (auto [u, v] : pending_edges) bm.add_edge(u, v);
int nmatchnxt = n_del_match + bm.solve();
ret += lint(nmatchnxt - nmatch) << z;
vector<vector<int>> to(N + M), rev(N + M);
for (auto [u, v] : pending_edges) to[u].push_back(v), rev[v].push_back(u);
REP(i, N) if (bm.match[i] >= N) {
int j = bm.match[i];
to[j].push_back(i);
rev[i].push_back(j);
}
vector<int> dfsstatus(N + M);
auto rec = [&](auto &&self, int now, int color, vector<vector<int>> &to) -> void {
dfsstatus[now] = color;
for (auto nxt : to[now]) {
if (dfsstatus[nxt] == 0) self(self, nxt, color ^ 1, to);
}
};
REP(i, vtp.size()) {
if (bm.match[i] == -1) rec(rec, i, 3, i < N ? to : rev);
}
REP(i, dfsstatus.size()) if (!dfsstatus[i]) vtp[i] = 1;
vector<pint> pending_edge_nxt;
for (auto [u, v] : pending_edges) {
if (vtp[u] == 1 or vtp[v] == 1) continue;
if (vtp[u] == 2 and vtp[v] == 2) continue;
pending_edge_nxt.emplace_back(u, v);
}
pending_edges = pending_edge_nxt;
nmatch = nmatchnxt, n_del_match = count(vtp.begin(), vtp.end(), 1) / 2;
}
cout << ret << endl;
}
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