Submission #1027686

# Submission time Handle Problem Language Result Execution time Memory
1027686 2024-07-19T09:06:10 Z caterpillow Marriage questions (IZhO14_marriage) C++17
66 / 100
150 ms 4180 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(m);
    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);
    }

    int r = 0, matches = 0;
    vt<int> mxr(m, m + 1); // exc
    queue<int> to_match;
    F0R (i, n) to_match.push(i);
    F0R (l, m) {
        cerr << endl;
        while (size(to_match)) {
            if (r == m) break;
            // add these edges
            for (int u : radj[r]) adj[u].pb(r);
            // try augment
            int u = to_match.front();
            memset(seen, 0, sizeof(seen));
            while (dfs(u)) {
                to_match.pop();
                if (!size(to_match)) break;
                u = to_match.front();
            }
            r++; 
        }
        if (size(to_match)) break;
        mxr[l] = r;
        // remove edges
        for (int u : radj[l]) {
            mni[u]++;
        }
        // check if we unmatched someone
        if (mate[l] != -1) {
            to_match.push(mate[l]);
            mate[l] = -1;
        }
    }
    ll ans = 0;
    F0R (i, m) ans += m - mxr[i] + 1;
    cout << ans << endl;
}

Compilation message

marriage.cpp:102:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  102 | main() {
      | ^~~~
marriage.cpp: In function 'int main()':
marriage.cpp:118:16: warning: unused variable 'matches' [-Wunused-variable]
  118 |     int r = 0, matches = 0;
      |                ^~~~~~~
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 348 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 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 464 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Incorrect 1 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 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 3 ms 604 KB Output is correct
26 Incorrect 1 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 1 ms 600 KB Output isn't correct
30 Incorrect 1 ms 604 KB Output isn't correct
31 Correct 23 ms 1416 KB Output is correct
32 Incorrect 1 ms 604 KB Output isn't correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 2 ms 580 KB Output is correct
35 Correct 23 ms 2136 KB Output is correct
36 Correct 17 ms 2140 KB Output is correct
37 Correct 64 ms 1616 KB Output is correct
38 Incorrect 13 ms 2652 KB Output isn't correct
39 Correct 53 ms 1184 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 4 ms 1784 KB Output isn't correct
43 Incorrect 6 ms 1944 KB Output isn't correct
44 Incorrect 10 ms 2908 KB Output isn't correct
45 Incorrect 8 ms 2652 KB Output isn't correct
46 Incorrect 66 ms 4056 KB Output isn't correct
47 Incorrect 13 ms 3932 KB Output isn't correct
48 Incorrect 16 ms 3780 KB Output isn't correct
49 Incorrect 98 ms 4180 KB Output isn't correct
50 Correct 150 ms 1880 KB Output is correct