Submission #95458

# Submission time Handle Problem Language Result Execution time Memory
95458 2019-02-01T10:33:32 Z choikiwon Marriage questions (IZhO14_marriage) C++17
42 / 100
122 ms 8152 KB
#include<bits/stdc++.h>
using namespace std;

typedef long long ll;

const int MN = 100010;

int V, E, src, snk;
vector<int> la, nxt, oppo, capa;
void init() {
    E = 0;
    la.clear(); nxt.clear(); oppo.clear(); capa.clear();
    la = vector<int>(V, -1);
}
void add(int u, int v, int c) {
    nxt.push_back(la[u]);
    la[u] = E++;
    oppo.push_back(v);
    capa.push_back(c);
}
vector<int> dist;
queue<int> q;
bool bfs() {
    dist = vector<int>(V, -1);
    q.push(src);
    dist[src] = 0;
    while(!q.empty()) {
        int u = q.front(); q.pop();

        for(int i = la[u]; i != -1; i = nxt[i]) {
            int v = oppo[i];
            if(capa[i] && dist[v] == -1) {
                dist[v] = dist[u] + 1;
                q.push(v);
            }
        }
    }
    return dist[snk] != -1;
}
vector<int> laa;
int dfs(int u, int f) {
    if(u == snk) return f;
    for(int i = laa[u]; i != -1; i = nxt[i]) {
        laa[u] = i;
        int v = oppo[i];
        if(capa[i] && dist[v] == dist[u] + 1) {
            if(int tmp = dfs(v, min(f, capa[i]))) {
                capa[i] -= tmp;
                capa[i ^ 1] += tmp;
                return tmp;
            }
        }
    }
    return 0;
}
int dinic() {
    int tf = 0;
    while(bfs()) {
        laa = la;
        while(int tmp = dfs(src, 1e9)) tf += tmp;
    }
    return tf;
}

int N, M, K;
vector<int> adj[MN];
int who[MN];

void con(int x) {
    V = N + M + 2, src = V - 2, snk = V - 1;
    init();
    for(int i = 0; i <= x; i++) {
        add(src, i, 1);
        add(i, src, 0);
    }
    for(int i = 0; i < M; i++) {
        add(N + i, snk, 1);
        add(snk, N + i, 0);
    }
    for(int u = 0; u <= x; u++) {
        for(int i = 0; i < adj[u].size(); i++) {
            int v = adj[u][i];

            add(u, v, 1);
            add(v, u, 0);
        }
    }
}

int main() {
    scanf("%d %d %d", &N, &M, &K);

    for(int i = 0; i < K; i++) {
        int a, b; scanf("%d %d", &a, &b);
        a--; b--;

        adj[a].push_back(N + b);
        adj[N + b].push_back(a);
    }
    for(int i = 0; i < M; i++) {
        sort(adj[N + i].begin(), adj[N + i].end());
        reverse(adj[N + i].begin(), adj[N + i].end());
    }

    int s = 0, e = N - 1, p = -1;
    while(s <= e) {
        int m = (s + e)>>1;

        con(m);
        if(dinic() == M) {
            p = m;
            e = m - 1;
        }
        else s = m + 1;
    }

    con(p);
    dinic();

    memset(who, -1, sizeof(who));
    for(int u = 0; u <= p; u++) {
        for(int i = la[u]; i != -1; i = nxt[i]) {
            int v = oppo[i];
            if(v != src && !capa[i]) {
                who[u] = v;
                who[v] = u;
                break;
            }
        }
    }

    ll ans = N - p;
    for(int i = 1; i < N; i++) {
        if(who[i - 1] != -1) {
            int v = who[i - 1];
            while(adj[v].size() && (who[ adj[v].back() ] != -1 || adj[v].back() < i)) {
                adj[v].pop_back();
            }
            if(adj[v].size()) {
                p = max(p, adj[v].back());
                who[ adj[v].back() ] = v;
                who[v] = adj[v].back();
            }
            else break;
        }
        ans += N - p;
    }
    printf("%lld", ans);
}

Compilation message

marriage.cpp: In function 'void con(int)':
marriage.cpp:81:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for(int i = 0; i < adj[u].size(); i++) {
                        ~~^~~~~~~~~~~~~~~
marriage.cpp: In function 'int main()':
marriage.cpp:91:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d %d %d", &N, &M, &K);
     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
marriage.cpp:94:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         int a, b; scanf("%d %d", &a, &b);
                   ~~~~~^~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Incorrect 3 ms 3064 KB Output isn't correct
2 Incorrect 4 ms 3064 KB Output isn't correct
3 Correct 4 ms 3064 KB Output is correct
4 Correct 4 ms 3064 KB Output is correct
5 Correct 3 ms 3064 KB Output is correct
6 Correct 4 ms 3064 KB Output is correct
7 Incorrect 3 ms 3064 KB Output isn't correct
8 Correct 3 ms 3064 KB Output is correct
9 Incorrect 4 ms 3064 KB Output isn't correct
10 Incorrect 4 ms 3192 KB Output isn't correct
11 Correct 3 ms 3064 KB Output is correct
12 Incorrect 4 ms 3064 KB Output isn't correct
13 Correct 4 ms 3064 KB Output is correct
14 Incorrect 4 ms 3064 KB Output isn't correct
15 Incorrect 4 ms 3064 KB Output isn't correct
16 Correct 4 ms 3064 KB Output is correct
17 Incorrect 4 ms 3064 KB Output isn't correct
18 Incorrect 4 ms 3064 KB Output isn't correct
19 Incorrect 5 ms 3192 KB Output isn't correct
20 Incorrect 4 ms 3064 KB Output isn't correct
21 Incorrect 4 ms 3064 KB Output isn't correct
22 Correct 4 ms 3064 KB Output is correct
23 Incorrect 4 ms 3064 KB Output isn't correct
24 Incorrect 4 ms 3064 KB Output isn't correct
25 Incorrect 9 ms 3448 KB Output isn't correct
26 Incorrect 5 ms 3192 KB Output isn't correct
27 Incorrect 5 ms 3064 KB Output isn't correct
28 Correct 4 ms 3064 KB Output is correct
29 Correct 9 ms 3576 KB Output is correct
30 Correct 8 ms 3576 KB Output is correct
31 Incorrect 35 ms 4464 KB Output isn't correct
32 Incorrect 11 ms 3448 KB Output isn't correct
33 Incorrect 5 ms 3192 KB Output isn't correct
34 Correct 5 ms 3192 KB Output is correct
35 Incorrect 49 ms 6356 KB Output isn't correct
36 Incorrect 41 ms 5984 KB Output isn't correct
37 Incorrect 49 ms 4720 KB Output isn't correct
38 Correct 72 ms 6996 KB Output is correct
39 Correct 11 ms 3704 KB Output is correct
40 Incorrect 42 ms 4140 KB Output isn't correct
41 Incorrect 45 ms 4464 KB Output isn't correct
42 Correct 35 ms 5092 KB Output is correct
43 Correct 51 ms 5652 KB Output is correct
44 Correct 81 ms 6992 KB Output is correct
45 Incorrect 80 ms 5736 KB Output isn't correct
46 Incorrect 103 ms 6756 KB Output isn't correct
47 Correct 122 ms 8152 KB Output is correct
48 Correct 96 ms 7888 KB Output is correct
49 Incorrect 121 ms 6912 KB Output isn't correct
50 Correct 21 ms 4468 KB Output is correct