Submission #462457

# Submission time Handle Problem Language Result Execution time Memory
462457 2021-08-10T14:52:12 Z Yeboi Pipes (BOI13_pipes) C++14
92.2222 / 100
517 ms 36612 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 4 ms 2764 KB Output is correct
4 Correct 329 ms 23176 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 2872 KB Output is correct
12 Correct 5 ms 2892 KB Output is correct
13 Correct 249 ms 18904 KB Output is correct
14 Correct 327 ms 22124 KB Output is correct
15 Correct 332 ms 23432 KB Output is correct
16 Correct 296 ms 20144 KB Output is correct
17 Correct 338 ms 23172 KB Output is correct
18 Correct 334 ms 23304 KB Output is correct
19 Correct 340 ms 26536 KB Output is correct
20 Correct 2 ms 2636 KB Output is correct
21 Correct 5 ms 2764 KB Output is correct
22 Correct 324 ms 23224 KB Output is correct
23 Correct 277 ms 18924 KB Output is correct
24 Correct 332 ms 23240 KB Output is correct
25 Correct 266 ms 19760 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 4 ms 2892 KB Output is correct
3 Correct 55 ms 13292 KB Output is correct
4 Correct 51 ms 8984 KB Output is correct
5 Correct 53 ms 9164 KB Output is correct
6 Correct 215 ms 25888 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 2 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 2 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 2 ms 2764 KB Output is correct
18 Correct 2 ms 2636 KB Output is correct
19 Correct 3 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 326 ms 26892 KB Output isn't correct
24 Correct 459 ms 33244 KB Output is correct
25 Correct 55 ms 13324 KB Output is correct
26 Correct 49 ms 9024 KB Output is correct
27 Correct 49 ms 8968 KB Output is correct
28 Correct 53 ms 9532 KB Output is correct
29 Correct 188 ms 21680 KB Output is correct
30 Incorrect 454 ms 34980 KB Output isn't correct
31 Incorrect 406 ms 30640 KB Output isn't correct
32 Correct 517 ms 36028 KB Output is correct
33 Correct 62 ms 14260 KB Output is correct
34 Correct 53 ms 8940 KB Output is correct
35 Correct 48 ms 8964 KB Output is correct
36 Correct 66 ms 9292 KB Output is correct
37 Correct 222 ms 26028 KB Output is correct
38 Correct 469 ms 33896 KB Output is correct
39 Correct 470 ms 36320 KB Output is correct
40 Correct 453 ms 33632 KB Output is correct
41 Correct 62 ms 16304 KB Output is correct
42 Correct 62 ms 9012 KB Output is correct
43 Correct 58 ms 8856 KB Output is correct
44 Correct 56 ms 9220 KB Output is correct
45 Correct 161 ms 22684 KB Output is correct
46 Incorrect 475 ms 36612 KB Output isn't correct
47 Correct 447 ms 33616 KB Output is correct
48 Correct 465 ms 31064 KB Output is correct
49 Correct 53 ms 11420 KB Output is correct
50 Correct 48 ms 9112 KB Output is correct
51 Correct 55 ms 9352 KB Output is correct
52 Correct 57 ms 8956 KB Output is correct
53 Correct 169 ms 22812 KB Output is correct
54 Incorrect 469 ms 35448 KB Output isn't correct