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Submission #650607

# Submission time Handle Problem Language Result Execution time Memory
650607 2022-10-14T09:19:26 Z welleyth Graph (BOI20_graph) C++17
58 / 100
 700 ms 38004 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;

#define int long long
#define pb push_back
#define mp make_pair

#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")

constexpr int N = (int)1e5+11;
constexpr int md = (int)2e5 + 111;
constexpr int INF = (int)1e18 + 111;
constexpr int K = (int)2;

mt19937 rnd(time(nullptr));

bool used[N];
int val[N];
vector<pair<int,int>> g[N];

bool can = true;
int S = 0;

void dfs(int v){
    if(!can)
        return;
    used[v] = 1;
    set<int> st[3];
    for(auto&[to,w] : g[v]){
        if(used[to]){
            st[w].insert(val[to]);
            continue;
        }
    }
    if(st[1].size() > 1 || st[2].size() > 1){
        can = false;
        return;
    }
    if(!st[1].empty() && !st[2].empty() && *st[2].begin()-*st[1].begin() != K){
        can = false;
        return;
    }
    if(st[1].empty() && st[2].empty()){
        val[v] = S;
    } else if(!st[1].empty()){
        val[v] = K - *st[1].begin();
    } else if(!st[2].empty()){
        val[v] = 2*K - *st[2].begin();
    }
    for(auto&[to,w] : g[v]){
        if(!used[to])
            dfs(to);
    }
    return;
}

bool U[N];
vector<int> component;
void dfs2(int v){
    U[v] = true;
    component.pb(v);
    for(auto&[to,w] : g[v]){
        if(!U[to]){
            dfs2(to);
        }
    }
    return;
}

int ans[N];
int mn = INF;

int try_start(int j){
    S = j;
    can = true;
    for(auto& v : component) used[v] = false;
    for(auto& v : component){
        for(auto&[to,w] : g[v]){
            if(to == v){
                val[v] = w*K/2;
                used[v] = true;
            }
        }
    }
    for(auto& v : component){
        if(!used[v])
            dfs(v);
    }
    if(!can)
        return INF;
    int sum = 0;
    for(auto& v : component){
        sum += abs(val[v]);
    }
    if(sum < mn){
        mn = sum;
        for(auto& v : component)
            ans[v] = val[v];
    }
    return sum;
}

void solve(){
    int n,m;
    cin >> n >> m;

    for(int i = 0; i < m; i++){
        int a,b,c;
        cin >> a >> b >> c;
        g[a].pb(mp(b,c));
        g[b].pb(mp(a,c));
    }

    vector<int> smallestSum;
    memset(ans,0,sizeof ans);

    for(int i = 1; i <= n; i++){
        if(!U[i]){
            component.clear();
            dfs2(i);
            mn = INF;
//            for(int j = -100; j <= 100; j++) try_start(j);
//            for(int j = -10; j <= 10; j++) try_start(j);
            int kk = component.size()/1200+6;
            for(int j = -kk*K; j <= kk * K; j++) try_start(j);
//            for(int j = l; j <= r; j++) try_start(j);
            if(mn == INF){
                cout << "NO\n";
                return;
            }
        }
    }

    cout << "YES\n";
    for(int i = 1; i <= n; i++)
        cout << 1.0*ans[i]/K << " ";
    cout << "\n";

    return;
}

signed main(){
    ios::sync_with_stdio(false);cin.tie(nullptr);cout.tie(nullptr);
//    init();
    int tests = 1;
//    cin >> tests;
    for(int test = 1; test <= tests; test++){
//        cerr << "test = " << test << "\n";
        solve();
    }
    return 0;
}
/**
**/

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3412 KB answer = YES
2 Correct 2 ms 3436 KB answer = YES
3 Correct 2 ms 3412 KB answer = YES
4 Correct 3 ms 3412 KB answer = NO
5 Correct 3 ms 3412 KB answer = YES
6 Correct 2 ms 3412 KB answer = YES
7 Correct 2 ms 3412 KB answer = YES
8 Correct 2 ms 3412 KB answer = YES
9 Correct 3 ms 3460 KB answer = NO
10 Correct 2 ms 3412 KB answer = YES
11 Correct 2 ms 3412 KB answer = YES
12 Correct 2 ms 3412 KB answer = NO
13 Correct 3 ms 3412 KB answer = YES
14 Correct 2 ms 3412 KB answer = YES
15 Correct 2 ms 3412 KB answer = YES
16 Correct 2 ms 3412 KB answer = YES
17 Correct 3 ms 3412 KB answer = YES
18 Correct 2 ms 3412 KB answer = YES
19 Correct 2 ms 3412 KB answer = YES
20 Correct 2 ms 3412 KB answer = YES
21 Correct 2 ms 3412 KB answer = YES
22 Correct 2 ms 3412 KB answer = NO
23 Correct 2 ms 3412 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3412 KB answer = YES
2 Correct 2 ms 3436 KB answer = YES
3 Correct 2 ms 3412 KB answer = YES
4 Correct 3 ms 3412 KB answer = NO
5 Correct 3 ms 3412 KB answer = YES
6 Correct 2 ms 3412 KB answer = YES
7 Correct 2 ms 3412 KB answer = YES
8 Correct 2 ms 3412 KB answer = YES
9 Correct 3 ms 3460 KB answer = NO
10 Correct 2 ms 3412 KB answer = YES
11 Correct 2 ms 3412 KB answer = YES
12 Correct 2 ms 3412 KB answer = NO
13 Correct 3 ms 3412 KB answer = YES
14 Correct 2 ms 3412 KB answer = YES
15 Correct 2 ms 3412 KB answer = YES
16 Correct 2 ms 3412 KB answer = YES
17 Correct 3 ms 3412 KB answer = YES
18 Correct 2 ms 3412 KB answer = YES
19 Correct 2 ms 3412 KB answer = YES
20 Correct 2 ms 3412 KB answer = YES
21 Correct 2 ms 3412 KB answer = YES
22 Correct 2 ms 3412 KB answer = NO
23 Correct 2 ms 3412 KB answer = NO
24 Correct 2 ms 3412 KB answer = YES
25 Correct 2 ms 3412 KB answer = YES
26 Correct 2 ms 3352 KB answer = YES
27 Correct 2 ms 3412 KB answer = YES
28 Correct 2 ms 3404 KB answer = YES
29 Correct 2 ms 3412 KB answer = YES
30 Correct 3 ms 3412 KB answer = NO
31 Correct 2 ms 3412 KB answer = YES
32 Correct 2 ms 3412 KB answer = YES
33 Correct 2 ms 3412 KB answer = YES
34 Correct 2 ms 3412 KB answer = YES
35 Correct 2 ms 3412 KB answer = YES
36 Correct 2 ms 3412 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3412 KB answer = YES
2 Correct 2 ms 3436 KB answer = YES
3 Correct 2 ms 3412 KB answer = YES
4 Correct 3 ms 3412 KB answer = NO
5 Correct 3 ms 3412 KB answer = YES
6 Correct 2 ms 3412 KB answer = YES
7 Correct 2 ms 3412 KB answer = YES
8 Correct 2 ms 3412 KB answer = YES
9 Correct 3 ms 3460 KB answer = NO
10 Correct 2 ms 3412 KB answer = YES
11 Correct 2 ms 3412 KB answer = YES
12 Correct 2 ms 3412 KB answer = NO
13 Correct 3 ms 3412 KB answer = YES
14 Correct 2 ms 3412 KB answer = YES
15 Correct 2 ms 3412 KB answer = YES
16 Correct 2 ms 3412 KB answer = YES
17 Correct 3 ms 3412 KB answer = YES
18 Correct 2 ms 3412 KB answer = YES
19 Correct 2 ms 3412 KB answer = YES
20 Correct 2 ms 3412 KB answer = YES
21 Correct 2 ms 3412 KB answer = YES
22 Correct 2 ms 3412 KB answer = NO
23 Correct 2 ms 3412 KB answer = NO
24 Correct 2 ms 3412 KB answer = YES
25 Correct 2 ms 3412 KB answer = YES
26 Correct 2 ms 3352 KB answer = YES
27 Correct 2 ms 3412 KB answer = YES
28 Correct 2 ms 3404 KB answer = YES
29 Correct 2 ms 3412 KB answer = YES
30 Correct 3 ms 3412 KB answer = NO
31 Correct 2 ms 3412 KB answer = YES
32 Correct 2 ms 3412 KB answer = YES
33 Correct 2 ms 3412 KB answer = YES
34 Correct 2 ms 3412 KB answer = YES
35 Correct 2 ms 3412 KB answer = YES
36 Correct 2 ms 3412 KB answer = YES
37 Correct 2 ms 3412 KB answer = YES
38 Correct 2 ms 3412 KB answer = YES
39 Correct 4 ms 3424 KB answer = YES
40 Correct 4 ms 3604 KB answer = YES
41 Correct 4 ms 3608 KB answer = NO
42 Correct 4 ms 3540 KB answer = YES
43 Correct 4 ms 3540 KB answer = YES
44 Correct 5 ms 3540 KB answer = YES
45 Correct 5 ms 3540 KB answer = YES
46 Correct 3 ms 3412 KB answer = YES
47 Correct 3 ms 3540 KB answer = YES
48 Correct 4 ms 3540 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3412 KB answer = YES
2 Correct 2 ms 3436 KB answer = YES
3 Correct 2 ms 3412 KB answer = YES
4 Correct 3 ms 3412 KB answer = NO
5 Correct 3 ms 3412 KB answer = YES
6 Correct 2 ms 3412 KB answer = YES
7 Correct 2 ms 3412 KB answer = YES
8 Correct 2 ms 3412 KB answer = YES
9 Correct 3 ms 3460 KB answer = NO
10 Correct 2 ms 3412 KB answer = YES
11 Correct 2 ms 3412 KB answer = YES
12 Correct 2 ms 3412 KB answer = NO
13 Correct 3 ms 3412 KB answer = YES
14 Correct 2 ms 3412 KB answer = YES
15 Correct 2 ms 3412 KB answer = YES
16 Correct 2 ms 3412 KB answer = YES
17 Correct 3 ms 3412 KB answer = YES
18 Correct 2 ms 3412 KB answer = YES
19 Correct 2 ms 3412 KB answer = YES
20 Correct 2 ms 3412 KB answer = YES
21 Correct 2 ms 3412 KB answer = YES
22 Correct 2 ms 3412 KB answer = NO
23 Correct 2 ms 3412 KB answer = NO
24 Correct 2 ms 3412 KB answer = YES
25 Correct 2 ms 3412 KB answer = YES
26 Correct 2 ms 3352 KB answer = YES
27 Correct 2 ms 3412 KB answer = YES
28 Correct 2 ms 3404 KB answer = YES
29 Correct 2 ms 3412 KB answer = YES
30 Correct 3 ms 3412 KB answer = NO
31 Correct 2 ms 3412 KB answer = YES
32 Correct 2 ms 3412 KB answer = YES
33 Correct 2 ms 3412 KB answer = YES
34 Correct 2 ms 3412 KB answer = YES
35 Correct 2 ms 3412 KB answer = YES
36 Correct 2 ms 3412 KB answer = YES
37 Correct 2 ms 3412 KB answer = YES
38 Correct 2 ms 3412 KB answer = YES
39 Correct 4 ms 3424 KB answer = YES
40 Correct 4 ms 3604 KB answer = YES
41 Correct 4 ms 3608 KB answer = NO
42 Correct 4 ms 3540 KB answer = YES
43 Correct 4 ms 3540 KB answer = YES
44 Correct 5 ms 3540 KB answer = YES
45 Correct 5 ms 3540 KB answer = YES
46 Correct 3 ms 3412 KB answer = YES
47 Correct 3 ms 3540 KB answer = YES
48 Correct 4 ms 3540 KB answer = YES
49 Correct 64 ms 4280 KB answer = YES
50 Correct 50 ms 5724 KB answer = YES
51 Correct 55 ms 5716 KB answer = YES
52 Correct 13 ms 4348 KB answer = NO
53 Correct 4 ms 3540 KB answer = YES
54 Correct 10 ms 3680 KB answer = YES
55 Correct 21 ms 3796 KB answer = YES
56 Correct 56 ms 4260 KB answer = YES
57 Correct 33 ms 4060 KB answer = YES
58 Correct 35 ms 4104 KB answer = YES
59 Correct 31 ms 4124 KB answer = YES
60 Correct 43 ms 4188 KB answer = YES
61 Correct 19 ms 3880 KB answer = YES
62 Correct 124 ms 13004 KB answer = NO
63 Correct 116 ms 14668 KB answer = YES
64 Correct 121 ms 14552 KB answer = NO
65 Correct 119 ms 14576 KB answer = YES
66 Correct 7 ms 3520 KB answer = YES

Subtask #5
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3412 KB answer = YES
2 Correct 2 ms 3436 KB answer = YES
3 Correct 2 ms 3412 KB answer = YES
4 Correct 3 ms 3412 KB answer = NO
5 Correct 3 ms 3412 KB answer = YES
6 Correct 2 ms 3412 KB answer = YES
7 Correct 2 ms 3412 KB answer = YES
8 Correct 2 ms 3412 KB answer = YES
9 Correct 3 ms 3460 KB answer = NO
10 Correct 2 ms 3412 KB answer = YES
11 Correct 2 ms 3412 KB answer = YES
12 Correct 2 ms 3412 KB answer = NO
13 Correct 3 ms 3412 KB answer = YES
14 Correct 2 ms 3412 KB answer = YES
15 Correct 2 ms 3412 KB answer = YES
16 Correct 2 ms 3412 KB answer = YES
17 Correct 3 ms 3412 KB answer = YES
18 Correct 2 ms 3412 KB answer = YES
19 Correct 2 ms 3412 KB answer = YES
20 Correct 2 ms 3412 KB answer = YES
21 Correct 2 ms 3412 KB answer = YES
22 Correct 2 ms 3412 KB answer = NO
23 Correct 2 ms 3412 KB answer = NO
24 Correct 2 ms 3412 KB answer = YES
25 Correct 2 ms 3412 KB answer = YES
26 Correct 2 ms 3352 KB answer = YES
27 Correct 2 ms 3412 KB answer = YES
28 Correct 2 ms 3404 KB answer = YES
29 Correct 2 ms 3412 KB answer = YES
30 Correct 3 ms 3412 KB answer = NO
31 Correct 2 ms 3412 KB answer = YES
32 Correct 2 ms 3412 KB answer = YES
33 Correct 2 ms 3412 KB answer = YES
34 Correct 2 ms 3412 KB answer = YES
35 Correct 2 ms 3412 KB answer = YES
36 Correct 2 ms 3412 KB answer = YES
37 Correct 2 ms 3412 KB answer = YES
38 Correct 2 ms 3412 KB answer = YES
39 Correct 4 ms 3424 KB answer = YES
40 Correct 4 ms 3604 KB answer = YES
41 Correct 4 ms 3608 KB answer = NO
42 Correct 4 ms 3540 KB answer = YES
43 Correct 4 ms 3540 KB answer = YES
44 Correct 5 ms 3540 KB answer = YES
45 Correct 5 ms 3540 KB answer = YES
46 Correct 3 ms 3412 KB answer = YES
47 Correct 3 ms 3540 KB answer = YES
48 Correct 4 ms 3540 KB answer = YES
49 Correct 64 ms 4280 KB answer = YES
50 Correct 50 ms 5724 KB answer = YES
51 Correct 55 ms 5716 KB answer = YES
52 Correct 13 ms 4348 KB answer = NO
53 Correct 4 ms 3540 KB answer = YES
54 Correct 10 ms 3680 KB answer = YES
55 Correct 21 ms 3796 KB answer = YES
56 Correct 56 ms 4260 KB answer = YES
57 Correct 33 ms 4060 KB answer = YES
58 Correct 35 ms 4104 KB answer = YES
59 Correct 31 ms 4124 KB answer = YES
60 Correct 43 ms 4188 KB answer = YES
61 Correct 19 ms 3880 KB answer = YES
62 Correct 124 ms 13004 KB answer = NO
63 Correct 116 ms 14668 KB answer = YES
64 Correct 121 ms 14552 KB answer = NO
65 Correct 119 ms 14576 KB answer = YES
66 Correct 7 ms 3520 KB answer = YES
67 Execution timed out 1084 ms 38004 KB Time limit exceeded
68 Halted 0 ms 0 KB -