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답안 #1030550

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1030550 2024-07-22T06:44:18 Z 12345678 Graph (BOI20_graph) C++17
0 / 100
 1 ms 2652 KB 
#include <bits/stdc++.h>

using namespace std;

const int nx=1e5+5;

int n, m, u, v, w, a[nx], b[nx], f, vs[nx];
double res[nx];
vector<tuple<int, int, int>> d[nx];
vector<int> comp;
set<double> s;

void dfs(int u, int p)
{
    vs[u]=1;
    comp.push_back(u);
    for (auto [v, w, idx]:d[u])
    {
        if (idx==p) continue;
        if (vs[v])
        {
            int sma=a[u]+a[v], smb=b[u]+b[v];
            if (sma==0&&b[u]+b[v]==w) continue;
            else if (sma==0&&b[u]+b[v]!=w)
            {
                f=1;
                break;
            }
            s.insert(((double)(w-smb))/((double)sma));
        }
        else
        {
            a[v]=-a[u];
            b[v]=w-b[u];
            dfs(v, idx);
        }
    }
}
int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n>>m;
    for (int i=1; i<=m; i++) cin>>u>>v>>w, d[u].push_back({v, w, i}), d[v].push_back({u, w, i});
    for (int i=1; i<=n; i++)
    {
        if (!vs[i])
        {
            comp.clear();
            s.clear();
            a[i]=1;
            dfs(i, -1);
            if (s.size()>1) f=1;
            else if (s.size()==1)
            {
                double vl=*s.begin();
                for (auto x:comp) res[x]=a[x]*vl+b[x];
            }
            else
            {
                vector<pair<double, int>> v;
                v.push_back({0, 0});
                for (auto x:comp) if (a[x]!=0) v.push_back({(double)(-b[x])/(double)a[x], x});
                sort(v.begin()+1, v.end());
                int sz=v.size()-1;
                vector<pair<int, int>> qs(v.size()+2), qsr(v.size()+2);
                for (int i=1; i<=sz; i++) qs[i]={qs[i-1].first+a[v[i].second], qs[i-1].first+b[v[i].second]};
                for (int i=sz; i>=1; i--) qsr[i]={qsr[i+1].first+a[v[i].second], qsr[i+1].first+b[v[i].second]};
                pair<double, double> mn={LLONG_MAX, 0};
                for (int i=1; i<=sz; i++)
                {
                    double tmp=-qs[i-1].first*v[i].first-qs[i-1].first+qsr[i+1].first*v[i].first+qsr[i+1].second;
                    mn=min(mn, {tmp, v[i].first});
                }
                for (auto x:comp) res[x]=mn.second*a[x]+b[x];
            }
        }
    }
    if (f) return cout<<"NO\n", 0;
    cout<<"YES\n";
    for (int i=1; i<=n; i++) cout<<setprecision(8)<<res[i]<<' ';
}

Subtask #1
0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2648 KB answer = YES
2 Correct 1 ms 2648 KB answer = YES
3 Incorrect 1 ms 2652 KB participant answer is larger than the answer of jury
4 Halted 0 ms 0 KB -

Subtask #2
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2648 KB answer = YES
2 Correct 1 ms 2648 KB answer = YES
3 Incorrect 1 ms 2652 KB participant answer is larger than the answer of jury
4 Halted 0 ms 0 KB -

Subtask #3
0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2648 KB answer = YES
2 Correct 1 ms 2648 KB answer = YES
3 Incorrect 1 ms 2652 KB participant answer is larger than the answer of jury
4 Halted 0 ms 0 KB -

Subtask #4
0 / 24.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2648 KB answer = YES
2 Correct 1 ms 2648 KB answer = YES
3 Incorrect 1 ms 2652 KB participant answer is larger than the answer of jury
4 Halted 0 ms 0 KB -

Subtask #5
0 / 42.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 2648 KB answer = YES
2 Correct 1 ms 2648 KB answer = YES
3 Incorrect 1 ms 2652 KB participant answer is larger than the answer of jury
4 Halted 0 ms 0 KB -