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Submission #906369

# Submission time Handle Problem Language Result Execution time Memory
906369 2024-01-14T07:04:46 Z MON Graph (BOI20_graph) C++14
5 / 100
 2 ms 2904 KB 
#include<iostream>
#include<random>
#include<ctime>
#include<vector>
#include<bitset>
#include<iomanip>
using namespace std;
using pii = pair<int,int>;
using pid = pair<int,double>;
const double bulan[] = {0,0.25,-0.25,-0.5,0.5,-0.75,0.75,-1,1,-1.25,1.25,-1.5,1.5,-1.75,1.75,-2,2,2.5,-2.5};
constexpr double eps = 1e-6;
constexpr int NMAX = 1e5 + 1;

mt19937 rng(time(nullptr));
bitset<NMAX> viz,fix; double ans[NMAX];
vector<pii> vecini[NMAX];

void dfs(int a,vector<int> &u)
{
    u.emplace_back(a); viz[a] = 1;
    for(auto &it : vecini[a])
        if(!viz[it.first]) dfs(it.first,u);
}

void go(int a,double v,vector<pid> &res)
{
    res.push_back({a,v}); viz[a] = 1; ans[a] = v;
    for(auto &it : vecini[a])
        {
            if(!viz[it.first])
                go(it.first,it.second - v,res);
        }
}

long double ab(vector<pid> &h)
{
    long double res = 0;
    for(auto &it : h) res += abs(it.second);
    return res;
}

bool ok(vector<int> &h)
{
    for(auto &f : h)
        {
            for(auto &s : vecini[f])
                {
                    if(abs(ans[f] + ans[s.first] - s.second) > eps)
                        return 0;
                }
        }

    return 1;
}

void solve(vector<int> &comp)
{
    for(auto &v : comp)
        {
            if(fix[v])
                {
                    vector<pid> h; go(v,ans[v],h);
                    for(auto &it : h) ans[it.first] = it.second;
                    return;
                }
        }

    long double mini = 1e18; vector<pid> res;
    uniform_int_distribution<int> d(0,comp.size()-1);
    int mumu = comp[d(rng)];
    for(auto &val : bulan)
    {
        for(auto &it : comp) viz[it] = 0;
        vector<pid> h; go(mumu,val,h); double now = ab(h);
        if(now < mini && ok(comp))
            {
                mini = now;
                res.swap(h);
            }
    }

    for(auto &it : res)
        ans[it.first] = it.second;
}

int main()
{
    int n,m,a,b,c; cin >> n >> m;
    for(int i = 1; i <= m ; i++)
        {
            cin >> a >> b >> c;
            vecini[a].push_back({b,c});
            vecini[b].push_back({a,c});
            if(a == b)
                {
                    fix[a] = 1;
                    ans[a] = (1.0 * c / 2);
                }
        }

    vector<vector<int>> comps;
    for(int i = 1; i <= n ; i++)
        {
            if(!viz[i])
                {
                    vector<int> comp;
                    dfs(i,comp); comps.push_back(comp);
                }
        }

    viz.reset();
    for(auto &it : comps)
        solve(it);

    bool okk = 1;
    for(auto &c : comps) okk &= ok(c);

    if(!okk) cout << "NO";
    else
    {
            cout << "YES\n";
            for(int i = 1; i <= n ; i++)
                cout << fixed << setprecision(2) << ans[i] << " ";
    }
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB answer = YES
2 Correct 1 ms 2648 KB answer = YES
3 Correct 1 ms 2652 KB answer = YES
4 Correct 1 ms 2652 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2652 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 1 ms 2652 KB answer = YES
11 Correct 1 ms 2652 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2652 KB answer = YES
14 Correct 1 ms 2692 KB answer = YES
15 Correct 1 ms 2648 KB answer = YES
16 Correct 2 ms 2648 KB answer = YES
17 Correct 1 ms 2652 KB answer = YES
18 Correct 1 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2648 KB answer = YES
21 Correct 1 ms 2652 KB answer = YES
22 Correct 1 ms 2648 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB answer = YES
2 Correct 1 ms 2648 KB answer = YES
3 Correct 1 ms 2652 KB answer = YES
4 Correct 1 ms 2652 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2652 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 1 ms 2652 KB answer = YES
11 Correct 1 ms 2652 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2652 KB answer = YES
14 Correct 1 ms 2692 KB answer = YES
15 Correct 1 ms 2648 KB answer = YES
16 Correct 2 ms 2648 KB answer = YES
17 Correct 1 ms 2652 KB answer = YES
18 Correct 1 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2648 KB answer = YES
21 Correct 1 ms 2652 KB answer = YES
22 Correct 1 ms 2648 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 2652 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Incorrect 1 ms 2904 KB participant answer is larger than the answer of jury
27 Halted 0 ms 0 KB -

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB answer = YES
2 Correct 1 ms 2648 KB answer = YES
3 Correct 1 ms 2652 KB answer = YES
4 Correct 1 ms 2652 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2652 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 1 ms 2652 KB answer = YES
11 Correct 1 ms 2652 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2652 KB answer = YES
14 Correct 1 ms 2692 KB answer = YES
15 Correct 1 ms 2648 KB answer = YES
16 Correct 2 ms 2648 KB answer = YES
17 Correct 1 ms 2652 KB answer = YES
18 Correct 1 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2648 KB answer = YES
21 Correct 1 ms 2652 KB answer = YES
22 Correct 1 ms 2648 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 2652 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Incorrect 1 ms 2904 KB participant answer is larger than the answer of jury
27 Halted 0 ms 0 KB -

Subtask #4
0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB answer = YES
2 Correct 1 ms 2648 KB answer = YES
3 Correct 1 ms 2652 KB answer = YES
4 Correct 1 ms 2652 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2652 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 1 ms 2652 KB answer = YES
11 Correct 1 ms 2652 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2652 KB answer = YES
14 Correct 1 ms 2692 KB answer = YES
15 Correct 1 ms 2648 KB answer = YES
16 Correct 2 ms 2648 KB answer = YES
17 Correct 1 ms 2652 KB answer = YES
18 Correct 1 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2648 KB answer = YES
21 Correct 1 ms 2652 KB answer = YES
22 Correct 1 ms 2648 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 2652 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Incorrect 1 ms 2904 KB participant answer is larger than the answer of jury
27 Halted 0 ms 0 KB -

Subtask #5
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB answer = YES
2 Correct 1 ms 2648 KB answer = YES
3 Correct 1 ms 2652 KB answer = YES
4 Correct 1 ms 2652 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2652 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 1 ms 2652 KB answer = YES
11 Correct 1 ms 2652 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2652 KB answer = YES
14 Correct 1 ms 2692 KB answer = YES
15 Correct 1 ms 2648 KB answer = YES
16 Correct 2 ms 2648 KB answer = YES
17 Correct 1 ms 2652 KB answer = YES
18 Correct 1 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2648 KB answer = YES
21 Correct 1 ms 2652 KB answer = YES
22 Correct 1 ms 2648 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 2652 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Incorrect 1 ms 2904 KB participant answer is larger than the answer of jury
27 Halted 0 ms 0 KB -