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Submission #367366

# Submission time Handle Problem Language Result Execution time Memory
367366 2021-02-17T00:26:26 Z jainbot27 Graph (BOI20_graph) C++17
100 / 100
 227 ms 24392 KB 
#include <bits/stdc++.h>
using namespace std;

#define f first
#define s second
#define pb push_back
#define ar array
#define all(x) x.begin(), x.end()
#define siz(x) (int)x.size()

#define FOR(x, y, z) for(int x = (y); x < (z); x++)
#define ROF(x, z, y) for(int x = (y-1); x >= (z); x--)
#define F0R(x, z) FOR(x, 0, z)
#define R0F(x, z) ROF(x, 0, z)
#define trav(x, y) for(auto&x:y)

using ll = long long;
using vi = vector<int>;
using vl = vector<long long>;
using pii = pair<int, int>;
using vpii = vector<pair<int, int>>;

template<class T> inline bool ckmin(T&a, T b) {return b < a ? a = b, 1 : 0;}
template<class T> inline bool ckmax(T&a, T b) {return b > a ? a = b, 1 : 0;}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const char nl = '\n';
const int mxN = 1e5 + 10;
const int MOD = 1e9 + 7;
const long long infLL = 1e18;
const double eps = 1e-6;

double ans[mxN];
int a[mxN], b[mxN];
vpii adj[mxN];
int n, m;
vector<double> vals;
vi cur, al;

void bad(){
    cout<<"NO\n";
    exit(0);
}

void dfs(int u, int A, int B){
    if(a[u]==0){
        a[u] = A, b[u] = B;
        cur.pb(u); al.pb(A*B);
        trav(v, adj[u]) dfs(v.f, -A, v.s-B);
    }
    else if(a[u]!=A||b[u]!=B){
        if(a[u]==A) bad();
        vals.pb(1.0*(B-b[u])/(a[u]-A));
    }
}

int32_t main(){
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin >> n >> m;
    F0R(i, m){
        int e1, e2, e3; cin >> e1 >> e2 >> e3; e1--; e2--; 
        adj[e1].pb({e2, e3}); adj[e2].pb({e1, e3});
    }
    F0R(i, n){
        if(a[i]==0){
            vals.clear(); al.clear(); cur.clear();
            dfs(i, 1, 0);
            if(siz(vals)){
                sort(all(vals));
                if(abs(vals[0]-vals.back())>eps) bad();
                trav(q, cur) ans[q] = vals[0]*a[q]+b[q];

            }
            else{
                sort(all(al));
                trav(q, cur) ans[q] = -al[siz(al)/2]*a[q]+b[q];
            }
        }
    }
    cout << fixed << setprecision(12);
    cout << "YES\n";
    F0R(i, n) cout << ans[i] << ' ';
    cout << nl;
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB answer = YES
2 Correct 2 ms 2668 KB answer = YES
3 Correct 2 ms 2668 KB answer = YES
4 Correct 2 ms 2668 KB answer = NO
5 Correct 3 ms 2668 KB answer = YES
6 Correct 2 ms 2668 KB answer = YES
7 Correct 2 ms 2668 KB answer = YES
8 Correct 2 ms 2668 KB answer = YES
9 Correct 2 ms 2668 KB answer = NO
10 Correct 2 ms 2668 KB answer = YES
11 Correct 2 ms 2668 KB answer = YES
12 Correct 2 ms 2668 KB answer = NO
13 Correct 2 ms 2668 KB answer = YES
14 Correct 3 ms 2668 KB answer = YES
15 Correct 2 ms 2668 KB answer = YES
16 Correct 2 ms 2668 KB answer = YES
17 Correct 2 ms 2688 KB answer = YES
18 Correct 2 ms 2668 KB answer = YES
19 Correct 2 ms 2668 KB answer = YES
20 Correct 2 ms 2668 KB answer = YES
21 Correct 2 ms 2668 KB answer = YES
22 Correct 2 ms 2668 KB answer = NO
23 Correct 2 ms 2668 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB answer = YES
2 Correct 2 ms 2668 KB answer = YES
3 Correct 2 ms 2668 KB answer = YES
4 Correct 2 ms 2668 KB answer = NO
5 Correct 3 ms 2668 KB answer = YES
6 Correct 2 ms 2668 KB answer = YES
7 Correct 2 ms 2668 KB answer = YES
8 Correct 2 ms 2668 KB answer = YES
9 Correct 2 ms 2668 KB answer = NO
10 Correct 2 ms 2668 KB answer = YES
11 Correct 2 ms 2668 KB answer = YES
12 Correct 2 ms 2668 KB answer = NO
13 Correct 2 ms 2668 KB answer = YES
14 Correct 3 ms 2668 KB answer = YES
15 Correct 2 ms 2668 KB answer = YES
16 Correct 2 ms 2668 KB answer = YES
17 Correct 2 ms 2688 KB answer = YES
18 Correct 2 ms 2668 KB answer = YES
19 Correct 2 ms 2668 KB answer = YES
20 Correct 2 ms 2668 KB answer = YES
21 Correct 2 ms 2668 KB answer = YES
22 Correct 2 ms 2668 KB answer = NO
23 Correct 2 ms 2668 KB answer = NO
24 Correct 3 ms 2668 KB answer = YES
25 Correct 2 ms 2668 KB answer = YES
26 Correct 3 ms 2668 KB answer = YES
27 Correct 2 ms 2668 KB answer = YES
28 Correct 2 ms 2668 KB answer = YES
29 Correct 2 ms 2668 KB answer = YES
30 Correct 2 ms 2668 KB answer = NO
31 Correct 2 ms 2668 KB answer = YES
32 Correct 2 ms 2668 KB answer = YES
33 Correct 2 ms 2668 KB answer = YES
34 Correct 2 ms 2668 KB answer = YES
35 Correct 2 ms 2668 KB answer = YES
36 Correct 2 ms 2668 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB answer = YES
2 Correct 2 ms 2668 KB answer = YES
3 Correct 2 ms 2668 KB answer = YES
4 Correct 2 ms 2668 KB answer = NO
5 Correct 3 ms 2668 KB answer = YES
6 Correct 2 ms 2668 KB answer = YES
7 Correct 2 ms 2668 KB answer = YES
8 Correct 2 ms 2668 KB answer = YES
9 Correct 2 ms 2668 KB answer = NO
10 Correct 2 ms 2668 KB answer = YES
11 Correct 2 ms 2668 KB answer = YES
12 Correct 2 ms 2668 KB answer = NO
13 Correct 2 ms 2668 KB answer = YES
14 Correct 3 ms 2668 KB answer = YES
15 Correct 2 ms 2668 KB answer = YES
16 Correct 2 ms 2668 KB answer = YES
17 Correct 2 ms 2688 KB answer = YES
18 Correct 2 ms 2668 KB answer = YES
19 Correct 2 ms 2668 KB answer = YES
20 Correct 2 ms 2668 KB answer = YES
21 Correct 2 ms 2668 KB answer = YES
22 Correct 2 ms 2668 KB answer = NO
23 Correct 2 ms 2668 KB answer = NO
24 Correct 3 ms 2668 KB answer = YES
25 Correct 2 ms 2668 KB answer = YES
26 Correct 3 ms 2668 KB answer = YES
27 Correct 2 ms 2668 KB answer = YES
28 Correct 2 ms 2668 KB answer = YES
29 Correct 2 ms 2668 KB answer = YES
30 Correct 2 ms 2668 KB answer = NO
31 Correct 2 ms 2668 KB answer = YES
32 Correct 2 ms 2668 KB answer = YES
33 Correct 2 ms 2668 KB answer = YES
34 Correct 2 ms 2668 KB answer = YES
35 Correct 2 ms 2668 KB answer = YES
36 Correct 2 ms 2668 KB answer = YES
37 Correct 2 ms 2668 KB answer = YES
38 Correct 2 ms 2668 KB answer = YES
39 Correct 3 ms 2796 KB answer = YES
40 Correct 4 ms 2816 KB answer = YES
41 Correct 2 ms 2796 KB answer = NO
42 Correct 3 ms 2796 KB answer = YES
43 Correct 3 ms 2796 KB answer = YES
44 Correct 3 ms 2796 KB answer = YES
45 Correct 3 ms 2796 KB answer = YES
46 Correct 2 ms 2796 KB answer = YES
47 Correct 3 ms 2796 KB answer = YES
48 Correct 3 ms 2796 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB answer = YES
2 Correct 2 ms 2668 KB answer = YES
3 Correct 2 ms 2668 KB answer = YES
4 Correct 2 ms 2668 KB answer = NO
5 Correct 3 ms 2668 KB answer = YES
6 Correct 2 ms 2668 KB answer = YES
7 Correct 2 ms 2668 KB answer = YES
8 Correct 2 ms 2668 KB answer = YES
9 Correct 2 ms 2668 KB answer = NO
10 Correct 2 ms 2668 KB answer = YES
11 Correct 2 ms 2668 KB answer = YES
12 Correct 2 ms 2668 KB answer = NO
13 Correct 2 ms 2668 KB answer = YES
14 Correct 3 ms 2668 KB answer = YES
15 Correct 2 ms 2668 KB answer = YES
16 Correct 2 ms 2668 KB answer = YES
17 Correct 2 ms 2688 KB answer = YES
18 Correct 2 ms 2668 KB answer = YES
19 Correct 2 ms 2668 KB answer = YES
20 Correct 2 ms 2668 KB answer = YES
21 Correct 2 ms 2668 KB answer = YES
22 Correct 2 ms 2668 KB answer = NO
23 Correct 2 ms 2668 KB answer = NO
24 Correct 3 ms 2668 KB answer = YES
25 Correct 2 ms 2668 KB answer = YES
26 Correct 3 ms 2668 KB answer = YES
27 Correct 2 ms 2668 KB answer = YES
28 Correct 2 ms 2668 KB answer = YES
29 Correct 2 ms 2668 KB answer = YES
30 Correct 2 ms 2668 KB answer = NO
31 Correct 2 ms 2668 KB answer = YES
32 Correct 2 ms 2668 KB answer = YES
33 Correct 2 ms 2668 KB answer = YES
34 Correct 2 ms 2668 KB answer = YES
35 Correct 2 ms 2668 KB answer = YES
36 Correct 2 ms 2668 KB answer = YES
37 Correct 2 ms 2668 KB answer = YES
38 Correct 2 ms 2668 KB answer = YES
39 Correct 3 ms 2796 KB answer = YES
40 Correct 4 ms 2816 KB answer = YES
41 Correct 2 ms 2796 KB answer = NO
42 Correct 3 ms 2796 KB answer = YES
43 Correct 3 ms 2796 KB answer = YES
44 Correct 3 ms 2796 KB answer = YES
45 Correct 3 ms 2796 KB answer = YES
46 Correct 2 ms 2796 KB answer = YES
47 Correct 3 ms 2796 KB answer = YES
48 Correct 3 ms 2796 KB answer = YES
49 Correct 15 ms 3564 KB answer = YES
50 Correct 15 ms 3980 KB answer = YES
51 Correct 16 ms 3948 KB answer = YES
52 Correct 6 ms 3180 KB answer = NO
53 Correct 3 ms 2796 KB answer = YES
54 Correct 4 ms 2924 KB answer = YES
55 Correct 7 ms 3180 KB answer = YES
56 Correct 12 ms 3564 KB answer = YES
57 Correct 11 ms 3436 KB answer = YES
58 Correct 11 ms 3436 KB answer = YES
59 Correct 15 ms 3436 KB answer = YES
60 Correct 12 ms 3436 KB answer = YES
61 Correct 7 ms 3200 KB answer = YES
62 Correct 63 ms 7404 KB answer = NO
63 Correct 85 ms 10372 KB answer = YES
64 Correct 87 ms 10372 KB answer = NO
65 Correct 123 ms 12676 KB answer = YES
66 Correct 4 ms 2924 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB answer = YES
2 Correct 2 ms 2668 KB answer = YES
3 Correct 2 ms 2668 KB answer = YES
4 Correct 2 ms 2668 KB answer = NO
5 Correct 3 ms 2668 KB answer = YES
6 Correct 2 ms 2668 KB answer = YES
7 Correct 2 ms 2668 KB answer = YES
8 Correct 2 ms 2668 KB answer = YES
9 Correct 2 ms 2668 KB answer = NO
10 Correct 2 ms 2668 KB answer = YES
11 Correct 2 ms 2668 KB answer = YES
12 Correct 2 ms 2668 KB answer = NO
13 Correct 2 ms 2668 KB answer = YES
14 Correct 3 ms 2668 KB answer = YES
15 Correct 2 ms 2668 KB answer = YES
16 Correct 2 ms 2668 KB answer = YES
17 Correct 2 ms 2688 KB answer = YES
18 Correct 2 ms 2668 KB answer = YES
19 Correct 2 ms 2668 KB answer = YES
20 Correct 2 ms 2668 KB answer = YES
21 Correct 2 ms 2668 KB answer = YES
22 Correct 2 ms 2668 KB answer = NO
23 Correct 2 ms 2668 KB answer = NO
24 Correct 3 ms 2668 KB answer = YES
25 Correct 2 ms 2668 KB answer = YES
26 Correct 3 ms 2668 KB answer = YES
27 Correct 2 ms 2668 KB answer = YES
28 Correct 2 ms 2668 KB answer = YES
29 Correct 2 ms 2668 KB answer = YES
30 Correct 2 ms 2668 KB answer = NO
31 Correct 2 ms 2668 KB answer = YES
32 Correct 2 ms 2668 KB answer = YES
33 Correct 2 ms 2668 KB answer = YES
34 Correct 2 ms 2668 KB answer = YES
35 Correct 2 ms 2668 KB answer = YES
36 Correct 2 ms 2668 KB answer = YES
37 Correct 2 ms 2668 KB answer = YES
38 Correct 2 ms 2668 KB answer = YES
39 Correct 3 ms 2796 KB answer = YES
40 Correct 4 ms 2816 KB answer = YES
41 Correct 2 ms 2796 KB answer = NO
42 Correct 3 ms 2796 KB answer = YES
43 Correct 3 ms 2796 KB answer = YES
44 Correct 3 ms 2796 KB answer = YES
45 Correct 3 ms 2796 KB answer = YES
46 Correct 2 ms 2796 KB answer = YES
47 Correct 3 ms 2796 KB answer = YES
48 Correct 3 ms 2796 KB answer = YES
49 Correct 15 ms 3564 KB answer = YES
50 Correct 15 ms 3980 KB answer = YES
51 Correct 16 ms 3948 KB answer = YES
52 Correct 6 ms 3180 KB answer = NO
53 Correct 3 ms 2796 KB answer = YES
54 Correct 4 ms 2924 KB answer = YES
55 Correct 7 ms 3180 KB answer = YES
56 Correct 12 ms 3564 KB answer = YES
57 Correct 11 ms 3436 KB answer = YES
58 Correct 11 ms 3436 KB answer = YES
59 Correct 15 ms 3436 KB answer = YES
60 Correct 12 ms 3436 KB answer = YES
61 Correct 7 ms 3200 KB answer = YES
62 Correct 63 ms 7404 KB answer = NO
63 Correct 85 ms 10372 KB answer = YES
64 Correct 87 ms 10372 KB answer = NO
65 Correct 123 ms 12676 KB answer = YES
66 Correct 4 ms 2924 KB answer = YES
67 Correct 122 ms 19348 KB answer = YES
68 Correct 124 ms 19040 KB answer = YES
69 Correct 96 ms 19296 KB answer = YES
70 Correct 145 ms 24392 KB answer = YES
71 Correct 102 ms 19040 KB answer = YES
72 Correct 138 ms 11788 KB answer = YES
73 Correct 132 ms 11788 KB answer = YES
74 Correct 86 ms 12308 KB answer = YES
75 Correct 32 ms 8428 KB answer = NO
76 Correct 14 ms 3820 KB answer = YES
77 Correct 28 ms 4972 KB answer = YES
78 Correct 48 ms 6760 KB answer = YES
79 Correct 104 ms 10592 KB answer = YES
80 Correct 87 ms 12308 KB answer = YES
81 Correct 56 ms 13024 KB answer = NO
82 Correct 131 ms 18528 KB answer = YES
83 Correct 155 ms 19424 KB answer = YES
84 Correct 168 ms 19176 KB answer = YES
85 Correct 116 ms 19168 KB answer = YES
86 Correct 114 ms 19168 KB answer = YES
87 Correct 68 ms 11372 KB answer = NO
88 Correct 151 ms 14312 KB answer = YES
89 Correct 124 ms 10220 KB answer = YES
90 Correct 109 ms 10348 KB answer = YES
91 Correct 120 ms 10220 KB answer = YES
92 Correct 56 ms 7400 KB answer = YES
93 Correct 58 ms 7532 KB answer = YES
94 Correct 87 ms 16736 KB answer = NO
95 Correct 57 ms 8684 KB answer = NO
96 Correct 227 ms 21116 KB answer = YES
97 Correct 44 ms 16736 KB answer = NO