답안 #1027701

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1027701 2024-07-19T09:19:28 Z caterpillow 결혼 문제 (IZhO14_marriage) C++17
62 / 100
184 ms 3924 KB
#include <bits/stdc++.h>

using namespace std;

using db = long double;
using ll = long long;
using pl = pair<ll, ll>;
using pi = pair<int, int>;
#define vt vector
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(), x.end() 
#define size(x) ((int) (x).size())
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define F0R(i, b) FOR (i, 0, b)
#define endl '\n'
const ll INF = 1e18;
const int inf = 1e9;

template<typename Tuple, size_t... Is>
void print_tuple(const Tuple& t, index_sequence<Is...>) {
    ((cerr << (Is == 0 ? "{" : ", ") << get<Is>(t)), ...);
    cerr << "}";
}

template<typename... Args>
ostream& operator<<(ostream& os, const tuple<Args...>& t) {
    print_tuple(t, index_sequence_for<Args...>{});
    return os;
}

ostream& operator<<(ostream& os, string& s) {
    for (char c : s) os << c; 
    return os;
}

template<template<typename> class Container, typename T>
ostream& operator<<(ostream& os, Container<T> o) {
    os << "{"; 
    int g = size(o); 
    for (auto i : o) os << i << ((--g) == 0 ? "" : ", "); 
    os << "}";
    return os;
}

template<typename T, typename V>
ostream& operator<<(ostream& os, const pair<T, V> p) {
    os << "{" << p.f << ", " << p.s << "}";
    return os;
}

template <typename T, typename... V>
void printer(const char *names, T &&head, V &&...tail) {
    int i = 0;
    while (names[i] != '\0' && names[i] != ',') i++;
    constexpr bool is_str = is_same_v<decay_t<T>, const char*>;
    if constexpr (is_str) cerr << head; // ignore directly passed strings
    else cerr.write(names, i) << " = " << head; 
    if constexpr (sizeof...(tail)) cerr << (is_str ? "" : ","), printer(names + i + 1, tail...);
    else cerr << endl;
}

#ifdef LOCAL
#define dbg(...) std::cerr << __LINE__ << ": ", printer(#__VA_ARGS__, __VA_ARGS__)
#else
#define dbg(x...)
#define cerr if (0) std::cerr
#endif

/*

range perfect matching goes crazy

since kuhn's is more efficient when lhs is small, we need the girls to be on the left
we want to find the maximum r for each l, and two pointer it

*/

int n, m, k; // n is lhs (girls), m is rhs (boys)
vt<vt<int>> adj; // l -> r
vt<int> mni; // index of first neighbour we iterate over
vt<int> mate; // mate = rhs -> lhs
bool seen[2001]; // seen of lhs

bool dfs(int u) {
    if (seen[u]) return false;
    seen[u] = true;
    FOR (i, mni[u], size(adj[u])) {
        int v = adj[u][i];
        if (mate[v] == -1 || dfs(mate[v])) {
            mate[v] = u;
            return true;
        }
    }
    return false;
}

main() {
    cin.tie(0)->sync_with_stdio(0);
    
    cin >> m >> n >> k;
    adj.resize(n);
    mni.resize(n);
    mate.resize(m, -1);

    vt<pi> edges;
    vt<vt<int>> radj(m);
    F0R (i, k) {
        int u, v; cin >> u >> v; u--, v--;
        // u is boy, v is girl
        radj[u].pb(v);
    }

    // enqueue all the unmatched girls
    queue<int> to_match;
    F0R (i, n) to_match.push(i);

    // attempt to augment from u on lhs
    auto augment = [&] (int u) {
        memset(seen, 0, sizeof(seen));
        return dfs(u);
    };

    ll ans = 0;
    int r = -1;
    
    F0R (l, m) {
        while (size(to_match)) {
            if (r == m - 1) {
                cout << ans << endl;
                return 0;
            }
            r++;

            // add these edges
            for (int u : radj[r]) adj[u].pb(r);

            // try augment
            while (size(to_match) && augment(to_match.front())) {
                to_match.pop();
            }
        }

        // add # of possible right endpoints for l
        ans += m - r;

        // remove edges
        for (int u : radj[l]) mni[u]++;

        // check if we unmatched someone by removing l
        if (mate[l] != -1) {
            to_match.push(mate[l]);
            mate[l] = -1;
        }
    }
}

Compilation message

marriage.cpp:100:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  100 | main() {
      | ^~~~
# 결과 실행 시간 메모리 Grader output
1 Incorrect 1 ms 344 KB Output isn't correct
2 Incorrect 0 ms 348 KB Output isn't correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Incorrect 0 ms 348 KB Output isn't correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 460 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Incorrect 0 ms 348 KB Output isn't correct
14 Correct 0 ms 348 KB Output is correct
15 Incorrect 0 ms 348 KB Output isn't correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 460 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 3 ms 632 KB Output is correct
26 Incorrect 2 ms 348 KB Output isn't correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Incorrect 2 ms 604 KB Output isn't correct
30 Incorrect 1 ms 604 KB Output isn't correct
31 Correct 32 ms 1480 KB Output is correct
32 Incorrect 2 ms 604 KB Output isn't correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 5 ms 348 KB Output is correct
35 Correct 24 ms 2352 KB Output is correct
36 Correct 19 ms 2140 KB Output is correct
37 Correct 94 ms 1536 KB Output is correct
38 Incorrect 12 ms 2524 KB Output isn't correct
39 Correct 84 ms 860 KB Output is correct
40 Correct 3 ms 1116 KB Output is correct
41 Incorrect 6 ms 1372 KB Output isn't correct
42 Incorrect 5 ms 1628 KB Output isn't correct
43 Incorrect 8 ms 1884 KB Output isn't correct
44 Incorrect 14 ms 2852 KB Output isn't correct
45 Incorrect 11 ms 2276 KB Output isn't correct
46 Incorrect 77 ms 3668 KB Output isn't correct
47 Incorrect 14 ms 3672 KB Output isn't correct
48 Incorrect 13 ms 3504 KB Output isn't correct
49 Incorrect 99 ms 3924 KB Output isn't correct
50 Correct 184 ms 1632 KB Output is correct