Submission #462459

# Submission time Handle Problem Language Result Execution time Memory
462459 2021-08-10T14:53:04 Z Yeboi Pipes (BOI13_pipes) C++14
92.2222 / 100
480 ms 36472 KB
#include <bits/stdc++.h>
#define ll long long
#define mod 998244353
#define fastio() ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)
#define rep(i,s) for(ll i=0; i<s ; i++)
#define f(i,a,b) for(ll i(a); i<b ; i++)
const ll INF = 1000000000000000000;
const ll N = 100001;
const ll MOD = 1000000007;
const ll modi = 1000000007;
const ll MAXN = 10000000000;    
const ll rootval = 319;
using namespace std;

ll upedge[N];
ll ngood[N];
vector<ll> adj[N];
ll arr[N];
ll par[N];
ll n;
void dfs1(ll v, ll p){
    ll sum = 0;
    for(auto u : adj[v]){
        if(u == p){
            continue;
        }
        else{
            if(upedge[u] == -1){
                dfs1(u,v);
            }
            sum += upedge[u];
        }
    }
    upedge[v] = arr[v] - sum;
}
void dfs2(ll v, ll p){
    ll sum = 0;
    for(auto u : adj[v]){
        if(u == p || ngood[u] == -1){
            continue;
        }
        else{
            if(upedge[u] == -1){
                dfs2(u,v);
            }
            sum += upedge[u];
        }
    }
    upedge[v] = arr[v] - sum;
}
void parents(ll v, ll p){
    for(auto u : adj[v]){
        if(u == p){
            continue;
        }
        else{
            par[u] = v;
            parents(u,v);
        }
    }
}
void parents2(ll v, ll p){
    for(auto u : adj[v]){
        if(u == p || ngood[u] == -1){
            continue;
        }
        else{
            par[u] = v;
            parents2(u,v);
        }
    }
}
vector<bool> visited;
vector<ll> parent;
ll cycle_start, cycle_end;

bool dfs(ll v, ll par) { // passing vertex and its parent vertex
    visited[v] = true;
    for (ll u : adj[v]) {
        if(u == par) continue; // skipping edge to parent vertex
        if (visited[u]) {
            cycle_end = v;
            cycle_start = u;
            return true;
        }
        parent[u] = v;
        if (dfs(u, parent[u]))
            return true;
    }
    return false;
}

vector<ll> find_cycle() {
    visited.assign(n, false);
    parent.assign(n, -1);
    cycle_start = -1;
    vector<ll> cycle;
    for (ll v = 0; v < n; v++) {
        if (!visited[v] && dfs(v, parent[v]))
            break;
    }

    if (cycle_start == -1) {
        return cycle;
    } else {
        vector<ll> cycle;
        cycle.push_back(cycle_start);
        for (ll v = cycle_end; v != cycle_start; v = parent[v]){
            cycle.push_back(v);
        }
        reverse(cycle.begin(), cycle.end());
        return cycle;
    }
}
int main(){
    fastio();
    ll m;
    cin >> n >> m;
    vector<pair<ll,ll>> edges;
    rep(i,n){
        cin >> arr[i];
        upedge[i] = -1;
    }
    rep(i,m){
        ll u,v;
        cin >> u >> v;
        --u,--v;
        adj[u].push_back(v);
        adj[v].push_back(u);
        edges.push_back(make_pair(u,v));
    }
    if(m == n-1){
        ll root = 0;
        rep(i,n){
            if(adj[i].size() != 1){
                root = i;
                break;
            }
        }
        rep(i,n){
            if(adj[i].size() == 1){
                upedge[i] = arr[i];
            }
        }
        dfs1(root,-1);
        parents(root,-1);
        par[root] = -1;
        map<pair<ll,ll>,ll> mp;
        rep(i,n){
            if(par[i] == -1){
                continue;
            }
            else{
                mp[{i,par[i]}] = upedge[i];
                mp[{par[i],i}] = upedge[i];
            }
        }
        rep(i,edges.size()){
            ll u = edges[i].first;
            ll v = edges[i].second;
            cout << 2*mp[{u,v}] << endl;
        }
    }
    else if(m == n){
        // one cycle exists so just find that one cycle done?
        vector<ll> cycle = find_cycle();
        rep(i,cycle.size()){
            ngood[cycle[i]] = -1;
        }
        if(cycle.size() % 2 == 0){
            cout << 0 << endl;
        }
        else{
            rep(j,cycle.size()){
                ll i = cycle[j];
                    dfs2(i,-1);
                    parents2(i,-1);
                    par[i] = -1;
            }
            map<pair<ll,ll>,ll> mp;
            map<pair<ll,ll>,ll> mp2;
            rep(i,n){
                if(par[i] != -1){
                    mp[{par[i],i}] = upedge[i];
                    mp[{i,par[i]}] = upedge[i];
                    mp2[{par[i],i}] = 2*upedge[i];
                    mp2[{i,par[i]}] = 2*upedge[i];
                }
            }
            rep(i,cycle.size()){
                for(auto u : adj[cycle[i]]){
                    if(ngood[u] == -1){
                        continue;
                    }
                    else{
                        arr[cycle[i]] = arr[cycle[i]] - mp[{cycle[i],u}];
                    }
                }
            }
            ll val = arr[cycle[0]];
            f(i,1,cycle.size()){
                if(i%2 == 1){
                    val += arr[cycle[i]];
                }
                else{
                    val = val - arr[cycle[i]];
                }
            }
            mp2[{cycle[0],cycle[1]}] = val;
            f(i,1,cycle.size()-1){
                mp2[{cycle[i],cycle[i+1]}] = 2*arr[cycle[i]] - mp2[{cycle[i-1],cycle[i]}];
                mp2[{cycle[i+1],cycle[i]}] = mp2[{cycle[i],cycle[i+1]}];
            }
            mp2[{cycle[cycle.size()-1],cycle[0]}] = 2*arr[cycle[cycle.size()-1]] - mp2[{cycle[cycle.size()-1],cycle[cycle.size()-2]}];
            mp2[{cycle[0],cycle[cycle.size()-1]}] = mp2[{cycle[cycle.size()-1],cycle[0]}];
            rep(i,edges.size()){
                cout << mp2[{edges[i].first,edges[i].second}] << endl;
            }
        }
    }
    else if(m > n){
        cout << 0 << endl;
    }
}

Compilation message

pipes.cpp: In function 'int main()':
pipes.cpp:5:31: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    5 | #define rep(i,s) for(ll i=0; i<s ; i++)
......
  158 |         rep(i,edges.size()){
      |             ~~~~~~~~~~~~~~     
pipes.cpp:158:9: note: in expansion of macro 'rep'
  158 |         rep(i,edges.size()){
      |         ^~~
pipes.cpp:5:31: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    5 | #define rep(i,s) for(ll i=0; i<s ; i++)
......
  167 |         rep(i,cycle.size()){
      |             ~~~~~~~~~~~~~~     
pipes.cpp:167:9: note: in expansion of macro 'rep'
  167 |         rep(i,cycle.size()){
      |         ^~~
pipes.cpp:5:31: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    5 | #define rep(i,s) for(ll i=0; i<s ; i++)
......
  174 |             rep(j,cycle.size()){
      |                 ~~~~~~~~~~~~~~ 
pipes.cpp:174:13: note: in expansion of macro 'rep'
  174 |             rep(j,cycle.size()){
      |             ^~~
pipes.cpp:5:31: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    5 | #define rep(i,s) for(ll i=0; i<s ; i++)
......
  190 |             rep(i,cycle.size()){
      |                 ~~~~~~~~~~~~~~ 
pipes.cpp:190:13: note: in expansion of macro 'rep'
  190 |             rep(i,cycle.size()){
      |             ^~~
pipes.cpp:6:32: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    6 | #define f(i,a,b) for(ll i(a); i<b ; i++)
......
  201 |             f(i,1,cycle.size()){
      |               ~~~~~~~~~~~~~~~~  
pipes.cpp:201:13: note: in expansion of macro 'f'
  201 |             f(i,1,cycle.size()){
      |             ^
pipes.cpp:6:32: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    6 | #define f(i,a,b) for(ll i(a); i<b ; i++)
......
  210 |             f(i,1,cycle.size()-1){
      |               ~~~~~~~~~~~~~~~~~~
pipes.cpp:210:13: note: in expansion of macro 'f'
  210 |             f(i,1,cycle.size()-1){
      |             ^
pipes.cpp:5:31: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    5 | #define rep(i,s) for(ll i=0; i<s ; i++)
......
  216 |             rep(i,edges.size()){
      |                 ~~~~~~~~~~~~~~ 
pipes.cpp:216:13: note: in expansion of macro 'rep'
  216 |             rep(i,edges.size()){
      |             ^~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 2 ms 2636 KB Output is correct
3 Correct 5 ms 2764 KB Output is correct
4 Correct 338 ms 23172 KB Output is correct
5 Correct 2 ms 2636 KB Output is correct
6 Correct 2 ms 2636 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 2 ms 2636 KB Output is correct
9 Correct 4 ms 2764 KB Output is correct
10 Correct 4 ms 2764 KB Output is correct
11 Correct 4 ms 2764 KB Output is correct
12 Correct 4 ms 2884 KB Output is correct
13 Correct 261 ms 18928 KB Output is correct
14 Correct 302 ms 22028 KB Output is correct
15 Correct 345 ms 23296 KB Output is correct
16 Correct 274 ms 20144 KB Output is correct
17 Correct 333 ms 23324 KB Output is correct
18 Correct 335 ms 23168 KB Output is correct
19 Correct 335 ms 26564 KB Output is correct
20 Correct 2 ms 2636 KB Output is correct
21 Correct 4 ms 2872 KB Output is correct
22 Correct 325 ms 23224 KB Output is correct
23 Correct 250 ms 18964 KB Output is correct
24 Correct 336 ms 23284 KB Output is correct
25 Correct 266 ms 19804 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 5 ms 2892 KB Output is correct
3 Correct 55 ms 13236 KB Output is correct
4 Correct 51 ms 9024 KB Output is correct
5 Correct 50 ms 9188 KB Output is correct
6 Correct 213 ms 25928 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 3 ms 2636 KB Output is correct
9 Correct 2 ms 2636 KB Output is correct
10 Correct 2 ms 2636 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 2 ms 2636 KB Output is correct
13 Correct 2 ms 2636 KB Output is correct
14 Incorrect 3 ms 2636 KB Output isn't correct
15 Correct 5 ms 2892 KB Output is correct
16 Correct 5 ms 2892 KB Output is correct
17 Correct 3 ms 2764 KB Output is correct
18 Correct 2 ms 2680 KB Output is correct
19 Correct 2 ms 2636 KB Output is correct
20 Correct 2 ms 2764 KB Output is correct
21 Correct 3 ms 2764 KB Output is correct
22 Correct 5 ms 2892 KB Output is correct
23 Incorrect 348 ms 26812 KB Output isn't correct
24 Correct 441 ms 33380 KB Output is correct
25 Correct 56 ms 13236 KB Output is correct
26 Correct 50 ms 9092 KB Output is correct
27 Correct 52 ms 8884 KB Output is correct
28 Correct 55 ms 9440 KB Output is correct
29 Correct 175 ms 21688 KB Output is correct
30 Incorrect 429 ms 34868 KB Output isn't correct
31 Incorrect 400 ms 30724 KB Output isn't correct
32 Correct 480 ms 36016 KB Output is correct
33 Correct 66 ms 14244 KB Output is correct
34 Correct 51 ms 9008 KB Output is correct
35 Correct 59 ms 8984 KB Output is correct
36 Correct 55 ms 9240 KB Output is correct
37 Correct 221 ms 25872 KB Output is correct
38 Correct 450 ms 33888 KB Output is correct
39 Correct 471 ms 36208 KB Output is correct
40 Correct 446 ms 33784 KB Output is correct
41 Correct 67 ms 16416 KB Output is correct
42 Correct 50 ms 8952 KB Output is correct
43 Correct 50 ms 8848 KB Output is correct
44 Correct 49 ms 9140 KB Output is correct
45 Correct 168 ms 22880 KB Output is correct
46 Incorrect 477 ms 36472 KB Output isn't correct
47 Correct 463 ms 33572 KB Output is correct
48 Correct 430 ms 30900 KB Output is correct
49 Correct 54 ms 11580 KB Output is correct
50 Correct 50 ms 9060 KB Output is correct
51 Correct 50 ms 9172 KB Output is correct
52 Correct 47 ms 8968 KB Output is correct
53 Correct 185 ms 22900 KB Output is correct
54 Incorrect 460 ms 35388 KB Output isn't correct