Submission #462463

# Submission time Handle Problem Language Result Execution time Memory
462463 2021-08-10T14:57:34 Z Yeboi Pipes (BOI13_pipes) C++14
83.1481 / 100
531 ms 36680 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?
        rep(i,n){
            if(adj[i].size() == 1){
                upedge[i] = arr[i];
            }
        }
        vector<ll> cycle = find_cycle();
        rep(i,cycle.size()){
            ngood[cycle[i]] = -1;
        }
        if(cycle.size() % 2 == 0){
            assert(0 == 1);
            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++)
......
  172 |         rep(i,cycle.size()){
      |             ~~~~~~~~~~~~~~     
pipes.cpp:172:9: note: in expansion of macro 'rep'
  172 |         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++)
......
  180 |             rep(j,cycle.size()){
      |                 ~~~~~~~~~~~~~~ 
pipes.cpp:180:13: note: in expansion of macro 'rep'
  180 |             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++)
......
  196 |             rep(i,cycle.size()){
      |                 ~~~~~~~~~~~~~~ 
pipes.cpp:196:13: note: in expansion of macro 'rep'
  196 |             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++)
......
  207 |             f(i,1,cycle.size()){
      |               ~~~~~~~~~~~~~~~~  
pipes.cpp:207:13: note: in expansion of macro 'f'
  207 |             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++)
......
  216 |             f(i,1,cycle.size()-1){
      |               ~~~~~~~~~~~~~~~~~~
pipes.cpp:216:13: note: in expansion of macro 'f'
  216 |             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++)
......
  222 |             rep(i,edges.size()){
      |                 ~~~~~~~~~~~~~~ 
pipes.cpp:222:13: note: in expansion of macro 'rep'
  222 |             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 319 ms 23124 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 5 ms 2764 KB Output is correct
12 Correct 4 ms 2892 KB Output is correct
13 Correct 249 ms 19012 KB Output is correct
14 Correct 327 ms 22064 KB Output is correct
15 Correct 318 ms 23224 KB Output is correct
16 Correct 284 ms 20100 KB Output is correct
17 Correct 316 ms 23252 KB Output is correct
18 Correct 329 ms 23232 KB Output is correct
19 Correct 338 ms 26680 KB Output is correct
20 Correct 2 ms 2580 KB Output is correct
21 Correct 4 ms 2764 KB Output is correct
22 Correct 335 ms 23216 KB Output is correct
23 Correct 257 ms 18924 KB Output is correct
24 Correct 319 ms 23184 KB Output is correct
25 Correct 307 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 Runtime error 73 ms 26860 KB Execution killed with signal 6
4 Correct 50 ms 9020 KB Output is correct
5 Correct 50 ms 9156 KB Output is correct
6 Correct 234 ms 25992 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 2 ms 2636 KB Output is correct
9 Runtime error 5 ms 5196 KB Execution killed with signal 6
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 6 ms 2892 KB Output is correct
17 Runtime error 6 ms 5452 KB Execution killed with signal 6
18 Correct 3 ms 2636 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 341 ms 26820 KB Output isn't correct
24 Correct 458 ms 33320 KB Output is correct
25 Runtime error 66 ms 26908 KB Execution killed with signal 6
26 Correct 56 ms 9092 KB Output is correct
27 Correct 47 ms 8904 KB Output is correct
28 Correct 56 ms 9468 KB Output is correct
29 Correct 174 ms 21660 KB Output is correct
30 Incorrect 469 ms 34976 KB Output isn't correct
31 Incorrect 399 ms 30628 KB Output isn't correct
32 Correct 531 ms 36040 KB Output is correct
33 Runtime error 69 ms 28724 KB Execution killed with signal 6
34 Correct 49 ms 9012 KB Output is correct
35 Correct 50 ms 9000 KB Output is correct
36 Correct 50 ms 9288 KB Output is correct
37 Correct 213 ms 25864 KB Output is correct
38 Correct 442 ms 33848 KB Output is correct
39 Correct 467 ms 36272 KB Output is correct
40 Correct 439 ms 33876 KB Output is correct
41 Runtime error 78 ms 32992 KB Execution killed with signal 6
42 Correct 50 ms 9020 KB Output is correct
43 Correct 48 ms 8948 KB Output is correct
44 Correct 50 ms 9176 KB Output is correct
45 Correct 176 ms 22684 KB Output is correct
46 Incorrect 458 ms 36680 KB Output isn't correct
47 Correct 466 ms 33492 KB Output is correct
48 Correct 426 ms 30976 KB Output is correct
49 Runtime error 60 ms 23108 KB Execution killed with signal 6
50 Correct 50 ms 9084 KB Output is correct
51 Correct 50 ms 9136 KB Output is correct
52 Correct 48 ms 8940 KB Output is correct
53 Correct 182 ms 22792 KB Output is correct
54 Incorrect 489 ms 35504 KB Output isn't correct