Submission #88716

# Submission time Handle Problem Language Result Execution time Memory
88716 2018-12-07T18:35:28 Z popovicirobert Pipes (BOI13_pipes) C++14
74.0741 / 100
283 ms 32488 KB
#include <bits/stdc++.h>
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
// 217
// 44

using namespace std;

const int MAXM = (int) 5e5;
const int MAXN = (int) 1e5;

vector < pair <int, int> > g[MAXN + 1];
int even[MAXN + 1], father[MAXN + 1], n;
bool vis[MAXN + 1];

void dfs(int nod) {
    vis[nod] = 1;
    for(auto it : g[nod]) {
        if(vis[it.first] == 0) {
            even[it.first] = (even[nod] ^ 1);
            father[it.first] = nod;
            dfs(it.first);
        }
    }
}

inline void detect_cycle(bool &cycle) {
    memset(even, -1, sizeof(even));
    even[1] = 0;
    dfs(1);
    int cnt = 0;
    for(int i = 1; i <= n; i++) {
        for(auto it : g[i]) {
            if(even[i] != even[it.first] && !(father[it.first] == i || father[i] == it.first)) {
                cout << 0;
                exit(0);
            }
            if(even[i] == even[it.first]) {
                cnt++;
            }
        }
    }
    cnt /= 2;
    if(cnt > 1) {
        cout << 0;
        exit(0);
    }
    if(cnt) {
        cycle = 1;
    }
}

ll c[MAXN + 1];
ll sol[MAXM + 1];

int deg[MAXN + 1];

inline void solve_tree(bool cycle) {
    int i;
    memset(father, 0, sizeof(father));
    queue <int> Q;
    for(i = 1; i <= n; i++) {
        if(g[i].size() == 1) {
            Q.push(i);
        }
    }
    int root;
    while(Q.size()) {
        int nod = Q.front();
        root = nod;
        Q.pop();
        for(auto it : g[nod]) {
            if(father[it.first] != nod) {
                deg[it.first]++;
                father[nod] = it.first;
                sol[it.second] = c[nod];
                c[it.first] -= c[nod];
                c[nod] = 0;
                if(deg[it.first] + 1 == g[it.first].size()) {
                    Q.push(it.first);
                }
            }
        }
    }
    if(cycle == 0) {
        for(i = 1; i <= n; i++) {
            if(c[i] != 0) {
                cout << 0;
                exit(0);
            }
        }
    }
}

void dfs1(int nod, vector < pair <int, int> > &nodes, int par, int root) {
    vis[nod] = 1;
    for(auto it : g[nod]) {
        if(it.first == par) {
            continue;
        }
        if(vis[it.first] == 0) {
            nodes.push_back({nod, it.second});
            dfs1(it.first, nodes, nod, root);
        }
        else if(it.first == root) {
            nodes.push_back({nod, it.second});
        }
    }
}

inline void solve_cycle(bool cycle) {
    if(cycle == 0) {
        return ;
    }
    int i, nod;
    for(i = 1; i <= n; i++) {
        if(vis[i] == 0) {
            nod = i;
            break;
        }
    }
    vector < pair <int, int> > nodes;
    dfs1(nod, nodes, 0, nod);
    int sz = nodes.size();
    ll tot = 0;
    for(auto it : nodes) {
        tot += c[it.first];
    }
    tot /= 2;
    ll sum = 0;
    for(i = 0; i + 1 < sz; i += 2) {
        sum += c[nodes[i].first];
    }
    sol[nodes[sz - 2].second] = tot - sum;
    c[nodes[sz - 2].first] -= tot - sum;
    for(i = sz - 3; i >= 0; i--) {
        sol[nodes[i].second] = c[nodes[i + 1].first];
        c[nodes[i].first] -= sol[nodes[i].second];
    }
    sum = 0;
    for(auto it : nodes) {
        sum += sol[it.second];
    }
    sol[nodes.back().second] = tot - sum;
}

int main() {
    //ifstream cin("A.in");
    //ofstream cout("A.out");
    int i, m;
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);
    cin >> n >> m;
    for(i = 1; i <= n; i++) {
        cin >> c[i];
        c[i] *= 2LL;
    }
    for(i = 1; i <= m; i++) {
        int x, y;
        cin >> x >> y;
        g[x].push_back({y, i});
        g[y].push_back({x, i});
    }
    bool cycle = 0;
    detect_cycle(cycle);
    solve_tree(cycle);
    solve_cycle(cycle);
    for(i = 1; i <= m; i++) {
        cout << sol[i] << "\n";
    }
    //cin.close();
    //cout.close();
    return 0;
}

Compilation message

pipes.cpp: In function 'void solve_tree(bool)':
pipes.cpp:80:38: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
                 if(deg[it.first] + 1 == g[it.first].size()) {
                    ~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~
pipes.cpp:68:9: warning: variable 'root' set but not used [-Wunused-but-set-variable]
     int root;
         ^~~~
pipes.cpp: In function 'void solve_cycle(bool)':
pipes.cpp:124:9: warning: 'nod' may be used uninitialized in this function [-Wmaybe-uninitialized]
     dfs1(nod, nodes, 0, nod);
     ~~~~^~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 3448 KB Output is correct
2 Correct 4 ms 3584 KB Output is correct
3 Correct 5 ms 3616 KB Output is correct
4 Correct 95 ms 9864 KB Output is correct
5 Correct 5 ms 9864 KB Output is correct
6 Correct 4 ms 9864 KB Output is correct
7 Correct 4 ms 9864 KB Output is correct
8 Correct 4 ms 9864 KB Output is correct
9 Correct 5 ms 9864 KB Output is correct
10 Correct 5 ms 9864 KB Output is correct
11 Correct 5 ms 9864 KB Output is correct
12 Correct 5 ms 9864 KB Output is correct
13 Correct 77 ms 9864 KB Output is correct
14 Correct 84 ms 9864 KB Output is correct
15 Correct 93 ms 10152 KB Output is correct
16 Correct 76 ms 10152 KB Output is correct
17 Correct 96 ms 10152 KB Output is correct
18 Correct 88 ms 10152 KB Output is correct
19 Correct 97 ms 11804 KB Output is correct
20 Correct 4 ms 11804 KB Output is correct
21 Correct 5 ms 11804 KB Output is correct
22 Correct 90 ms 11804 KB Output is correct
23 Correct 71 ms 11804 KB Output is correct
24 Correct 95 ms 11804 KB Output is correct
25 Correct 69 ms 11804 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 8 ms 11804 KB Execution killed with signal 11 (could be triggered by violating memory limits)
2 Runtime error 10 ms 11804 KB Execution killed with signal 11 (could be triggered by violating memory limits)
3 Correct 71 ms 13444 KB Output is correct
4 Correct 88 ms 15020 KB Output is correct
5 Correct 73 ms 15020 KB Output is correct
6 Correct 283 ms 25952 KB Output is correct
7 Runtime error 9 ms 25952 KB Execution killed with signal 11 (could be triggered by violating memory limits)
8 Runtime error 9 ms 25952 KB Execution killed with signal 11 (could be triggered by violating memory limits)
9 Correct 4 ms 25952 KB Output is correct
10 Correct 4 ms 25952 KB Output is correct
11 Correct 4 ms 25952 KB Output is correct
12 Correct 4 ms 25952 KB Output is correct
13 Correct 5 ms 25952 KB Output is correct
14 Runtime error 9 ms 25952 KB Execution killed with signal 11 (could be triggered by violating memory limits)
15 Runtime error 10 ms 25952 KB Execution killed with signal 11 (could be triggered by violating memory limits)
16 Runtime error 9 ms 25952 KB Execution killed with signal 11 (could be triggered by violating memory limits)
17 Correct 4 ms 25952 KB Output is correct
18 Correct 5 ms 25952 KB Output is correct
19 Correct 5 ms 25952 KB Output is correct
20 Correct 4 ms 25952 KB Output is correct
21 Correct 5 ms 25952 KB Output is correct
22 Runtime error 10 ms 25952 KB Execution killed with signal 11 (could be triggered by violating memory limits)
23 Runtime error 80 ms 25952 KB Execution killed with signal 11 (could be triggered by violating memory limits)
24 Runtime error 98 ms 25952 KB Execution killed with signal 11 (could be triggered by violating memory limits)
25 Correct 71 ms 25952 KB Output is correct
26 Correct 77 ms 25952 KB Output is correct
27 Correct 73 ms 25952 KB Output is correct
28 Correct 77 ms 25952 KB Output is correct
29 Correct 221 ms 31156 KB Output is correct
30 Runtime error 102 ms 31156 KB Execution killed with signal 11 (could be triggered by violating memory limits)
31 Runtime error 101 ms 31156 KB Execution killed with signal 11 (could be triggered by violating memory limits)
32 Runtime error 90 ms 31156 KB Execution killed with signal 11 (could be triggered by violating memory limits)
33 Correct 75 ms 31156 KB Output is correct
34 Correct 83 ms 31156 KB Output is correct
35 Correct 83 ms 31156 KB Output is correct
36 Correct 74 ms 31156 KB Output is correct
37 Correct 279 ms 32488 KB Output is correct
38 Runtime error 99 ms 32488 KB Execution killed with signal 11 (could be triggered by violating memory limits)
39 Runtime error 96 ms 32488 KB Execution killed with signal 11 (could be triggered by violating memory limits)
40 Runtime error 87 ms 32488 KB Execution killed with signal 11 (could be triggered by violating memory limits)
41 Correct 77 ms 32488 KB Output is correct
42 Correct 78 ms 32488 KB Output is correct
43 Correct 84 ms 32488 KB Output is correct
44 Correct 79 ms 32488 KB Output is correct
45 Correct 212 ms 32488 KB Output is correct
46 Runtime error 99 ms 32488 KB Execution killed with signal 11 (could be triggered by violating memory limits)
47 Runtime error 98 ms 32488 KB Execution killed with signal 11 (could be triggered by violating memory limits)
48 Runtime error 101 ms 32488 KB Execution killed with signal 11 (could be triggered by violating memory limits)
49 Correct 70 ms 32488 KB Output is correct
50 Correct 80 ms 32488 KB Output is correct
51 Correct 76 ms 32488 KB Output is correct
52 Correct 73 ms 32488 KB Output is correct
53 Correct 210 ms 32488 KB Output is correct
54 Runtime error 92 ms 32488 KB Execution killed with signal 11 (could be triggered by violating memory limits)