# |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
821692 |
2023-08-11T13:15:31 Z |
tch1cherin |
Graph (BOI20_graph) |
C++17 |
|
700 ms |
24276 KB |
#include <bits/stdc++.h>
using namespace std;
const int MAX_N = 1e5 + 5;
vector<pair<int, int>> G[MAX_N];
int color[MAX_N];
vector<int> comp, path, path_edges, cycle, cycle_edges;
bool visited[MAX_N] = {};
long double A[MAX_N];
void DFS(int u) {
comp.push_back(u);
for (auto [v, c] : G[u]) {
if (color[v] == -1) {
color[v] = !color[u];
DFS(v);
}
}
}
bool find_cycle(int u) {
visited[u] = true;
path.push_back(u);
for (auto [v, c] : G[u]) {
if (!visited[v]) {
path_edges.push_back(c);
if (find_cycle(v)) {
return true;
}
path_edges.pop_back();
} else if (color[u] == color[v]) {
path_edges.push_back(c);
while (path.back() != v) {
cycle.push_back(path.back());
cycle_edges.push_back(path_edges.back());
path.pop_back();
path_edges.pop_back();
}
cycle.push_back(path.back());
cycle_edges.push_back(path_edges.back());
return true;
}
}
path.pop_back();
return false;
}
long double check(int s, long double value) {
for (int v : comp) {
visited[v] = false;
}
A[s] = value;
queue<int> Q;
Q.push(s);
visited[s] = true;
while (!Q.empty()) {
int u = Q.front();
Q.pop();
for (auto [v, c] : G[u]) {
if (!visited[v]) {
A[v] = c - A[u];
visited[v] = true;
Q.push(v);
} else if (abs(A[u] + A[v] - c) > 1e-15l) {
cout << "NO\n";
exit(0);
}
}
}
long double ans = 0;
for (int v : comp) {
ans += abs(A[v]);
}
return ans;
}
void solve(int u) {
cycle = cycle_edges = path = path_edges = vector<int>();
if (find_cycle(u)) {
long double sum = 0;
rotate(cycle_edges.begin(), cycle_edges.begin() + 1, cycle_edges.end());
for (int i = 0; i < (int)cycle_edges.size(); i++) {
sum += cycle_edges[i] * (i % 2 ? -1 : +1);
}
check(cycle[0], sum /= 2);
} else {
long double l = -1e6, r = 1e6;
for (int i = 0; i < 100; i++) {
long double m1 = l + (r - l) / 3;
long double m2 = r - (r - l) / 3;
if (check(u, m1) < check(u, m2)) {
r = m2;
} else {
l = m1;
}
}
check(u, (l + r) / 2);
}
}
int main() {
cout << fixed << setprecision(9);
cin.tie(nullptr)->sync_with_stdio(false);
int N, M;
cin >> N >> M;
for (int i = 0; i < M; i++) {
int a, b, c;
cin >> a >> b >> c;
a--, b--;
G[a].push_back(pair {b, c});
G[b].push_back(pair {a, c});
}
memset(color, -1, sizeof color);
for (int i = 0; i < N; i++) {
if (color[i] == -1) {
comp = vector<int>();
color[i] = 0;
DFS(i);
solve(i);
}
}
cout << "YES\n";
for (int i = 0; i < N; i++) {
cout << A[i] << " \n"[i + 1 == N];
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3028 KB |
answer = YES |
2 |
Correct |
1 ms |
3028 KB |
answer = YES |
3 |
Correct |
2 ms |
3028 KB |
answer = YES |
4 |
Correct |
1 ms |
3028 KB |
answer = NO |
5 |
Correct |
2 ms |
3064 KB |
answer = YES |
6 |
Correct |
2 ms |
3068 KB |
answer = YES |
7 |
Correct |
2 ms |
3028 KB |
answer = YES |
8 |
Correct |
2 ms |
3028 KB |
answer = YES |
9 |
Correct |
2 ms |
3028 KB |
answer = NO |
10 |
Correct |
1 ms |
3068 KB |
answer = YES |
11 |
Correct |
2 ms |
3028 KB |
answer = YES |
12 |
Correct |
1 ms |
3028 KB |
answer = NO |
13 |
Correct |
2 ms |
3028 KB |
answer = YES |
14 |
Correct |
2 ms |
3028 KB |
answer = YES |
15 |
Correct |
2 ms |
3028 KB |
answer = YES |
16 |
Correct |
2 ms |
3028 KB |
answer = YES |
17 |
Correct |
2 ms |
3028 KB |
answer = YES |
18 |
Correct |
2 ms |
3068 KB |
answer = YES |
19 |
Correct |
2 ms |
3028 KB |
answer = YES |
20 |
Correct |
2 ms |
3064 KB |
answer = YES |
21 |
Correct |
2 ms |
3028 KB |
answer = YES |
22 |
Correct |
2 ms |
3028 KB |
answer = NO |
23 |
Correct |
2 ms |
3028 KB |
answer = NO |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3028 KB |
answer = YES |
2 |
Correct |
1 ms |
3028 KB |
answer = YES |
3 |
Correct |
2 ms |
3028 KB |
answer = YES |
4 |
Correct |
1 ms |
3028 KB |
answer = NO |
5 |
Correct |
2 ms |
3064 KB |
answer = YES |
6 |
Correct |
2 ms |
3068 KB |
answer = YES |
7 |
Correct |
2 ms |
3028 KB |
answer = YES |
8 |
Correct |
2 ms |
3028 KB |
answer = YES |
9 |
Correct |
2 ms |
3028 KB |
answer = NO |
10 |
Correct |
1 ms |
3068 KB |
answer = YES |
11 |
Correct |
2 ms |
3028 KB |
answer = YES |
12 |
Correct |
1 ms |
3028 KB |
answer = NO |
13 |
Correct |
2 ms |
3028 KB |
answer = YES |
14 |
Correct |
2 ms |
3028 KB |
answer = YES |
15 |
Correct |
2 ms |
3028 KB |
answer = YES |
16 |
Correct |
2 ms |
3028 KB |
answer = YES |
17 |
Correct |
2 ms |
3028 KB |
answer = YES |
18 |
Correct |
2 ms |
3068 KB |
answer = YES |
19 |
Correct |
2 ms |
3028 KB |
answer = YES |
20 |
Correct |
2 ms |
3064 KB |
answer = YES |
21 |
Correct |
2 ms |
3028 KB |
answer = YES |
22 |
Correct |
2 ms |
3028 KB |
answer = NO |
23 |
Correct |
2 ms |
3028 KB |
answer = NO |
24 |
Correct |
2 ms |
3028 KB |
answer = YES |
25 |
Correct |
2 ms |
3028 KB |
answer = YES |
26 |
Correct |
2 ms |
3064 KB |
answer = YES |
27 |
Correct |
2 ms |
3028 KB |
answer = YES |
28 |
Correct |
1 ms |
3028 KB |
answer = YES |
29 |
Correct |
2 ms |
3028 KB |
answer = YES |
30 |
Correct |
1 ms |
3028 KB |
answer = NO |
31 |
Correct |
2 ms |
3028 KB |
answer = YES |
32 |
Correct |
1 ms |
3028 KB |
answer = YES |
33 |
Correct |
2 ms |
3028 KB |
answer = YES |
34 |
Correct |
2 ms |
3028 KB |
answer = YES |
35 |
Correct |
2 ms |
3028 KB |
answer = YES |
36 |
Correct |
2 ms |
3028 KB |
answer = YES |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3028 KB |
answer = YES |
2 |
Correct |
1 ms |
3028 KB |
answer = YES |
3 |
Correct |
2 ms |
3028 KB |
answer = YES |
4 |
Correct |
1 ms |
3028 KB |
answer = NO |
5 |
Correct |
2 ms |
3064 KB |
answer = YES |
6 |
Correct |
2 ms |
3068 KB |
answer = YES |
7 |
Correct |
2 ms |
3028 KB |
answer = YES |
8 |
Correct |
2 ms |
3028 KB |
answer = YES |
9 |
Correct |
2 ms |
3028 KB |
answer = NO |
10 |
Correct |
1 ms |
3068 KB |
answer = YES |
11 |
Correct |
2 ms |
3028 KB |
answer = YES |
12 |
Correct |
1 ms |
3028 KB |
answer = NO |
13 |
Correct |
2 ms |
3028 KB |
answer = YES |
14 |
Correct |
2 ms |
3028 KB |
answer = YES |
15 |
Correct |
2 ms |
3028 KB |
answer = YES |
16 |
Correct |
2 ms |
3028 KB |
answer = YES |
17 |
Correct |
2 ms |
3028 KB |
answer = YES |
18 |
Correct |
2 ms |
3068 KB |
answer = YES |
19 |
Correct |
2 ms |
3028 KB |
answer = YES |
20 |
Correct |
2 ms |
3064 KB |
answer = YES |
21 |
Correct |
2 ms |
3028 KB |
answer = YES |
22 |
Correct |
2 ms |
3028 KB |
answer = NO |
23 |
Correct |
2 ms |
3028 KB |
answer = NO |
24 |
Correct |
2 ms |
3028 KB |
answer = YES |
25 |
Correct |
2 ms |
3028 KB |
answer = YES |
26 |
Correct |
2 ms |
3064 KB |
answer = YES |
27 |
Correct |
2 ms |
3028 KB |
answer = YES |
28 |
Correct |
1 ms |
3028 KB |
answer = YES |
29 |
Correct |
2 ms |
3028 KB |
answer = YES |
30 |
Correct |
1 ms |
3028 KB |
answer = NO |
31 |
Correct |
2 ms |
3028 KB |
answer = YES |
32 |
Correct |
1 ms |
3028 KB |
answer = YES |
33 |
Correct |
2 ms |
3028 KB |
answer = YES |
34 |
Correct |
2 ms |
3028 KB |
answer = YES |
35 |
Correct |
2 ms |
3028 KB |
answer = YES |
36 |
Correct |
2 ms |
3028 KB |
answer = YES |
37 |
Correct |
3 ms |
3028 KB |
answer = YES |
38 |
Correct |
2 ms |
3028 KB |
answer = YES |
39 |
Correct |
3 ms |
3028 KB |
answer = YES |
40 |
Correct |
2 ms |
3156 KB |
answer = YES |
41 |
Correct |
2 ms |
3156 KB |
answer = NO |
42 |
Correct |
5 ms |
3156 KB |
answer = YES |
43 |
Correct |
5 ms |
3156 KB |
answer = YES |
44 |
Correct |
4 ms |
3156 KB |
answer = YES |
45 |
Correct |
2 ms |
3156 KB |
answer = YES |
46 |
Correct |
3 ms |
3028 KB |
answer = YES |
47 |
Correct |
2 ms |
3076 KB |
answer = YES |
48 |
Correct |
2 ms |
3156 KB |
answer = YES |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3028 KB |
answer = YES |
2 |
Correct |
1 ms |
3028 KB |
answer = YES |
3 |
Correct |
2 ms |
3028 KB |
answer = YES |
4 |
Correct |
1 ms |
3028 KB |
answer = NO |
5 |
Correct |
2 ms |
3064 KB |
answer = YES |
6 |
Correct |
2 ms |
3068 KB |
answer = YES |
7 |
Correct |
2 ms |
3028 KB |
answer = YES |
8 |
Correct |
2 ms |
3028 KB |
answer = YES |
9 |
Correct |
2 ms |
3028 KB |
answer = NO |
10 |
Correct |
1 ms |
3068 KB |
answer = YES |
11 |
Correct |
2 ms |
3028 KB |
answer = YES |
12 |
Correct |
1 ms |
3028 KB |
answer = NO |
13 |
Correct |
2 ms |
3028 KB |
answer = YES |
14 |
Correct |
2 ms |
3028 KB |
answer = YES |
15 |
Correct |
2 ms |
3028 KB |
answer = YES |
16 |
Correct |
2 ms |
3028 KB |
answer = YES |
17 |
Correct |
2 ms |
3028 KB |
answer = YES |
18 |
Correct |
2 ms |
3068 KB |
answer = YES |
19 |
Correct |
2 ms |
3028 KB |
answer = YES |
20 |
Correct |
2 ms |
3064 KB |
answer = YES |
21 |
Correct |
2 ms |
3028 KB |
answer = YES |
22 |
Correct |
2 ms |
3028 KB |
answer = NO |
23 |
Correct |
2 ms |
3028 KB |
answer = NO |
24 |
Correct |
2 ms |
3028 KB |
answer = YES |
25 |
Correct |
2 ms |
3028 KB |
answer = YES |
26 |
Correct |
2 ms |
3064 KB |
answer = YES |
27 |
Correct |
2 ms |
3028 KB |
answer = YES |
28 |
Correct |
1 ms |
3028 KB |
answer = YES |
29 |
Correct |
2 ms |
3028 KB |
answer = YES |
30 |
Correct |
1 ms |
3028 KB |
answer = NO |
31 |
Correct |
2 ms |
3028 KB |
answer = YES |
32 |
Correct |
1 ms |
3028 KB |
answer = YES |
33 |
Correct |
2 ms |
3028 KB |
answer = YES |
34 |
Correct |
2 ms |
3028 KB |
answer = YES |
35 |
Correct |
2 ms |
3028 KB |
answer = YES |
36 |
Correct |
2 ms |
3028 KB |
answer = YES |
37 |
Correct |
3 ms |
3028 KB |
answer = YES |
38 |
Correct |
2 ms |
3028 KB |
answer = YES |
39 |
Correct |
3 ms |
3028 KB |
answer = YES |
40 |
Correct |
2 ms |
3156 KB |
answer = YES |
41 |
Correct |
2 ms |
3156 KB |
answer = NO |
42 |
Correct |
5 ms |
3156 KB |
answer = YES |
43 |
Correct |
5 ms |
3156 KB |
answer = YES |
44 |
Correct |
4 ms |
3156 KB |
answer = YES |
45 |
Correct |
2 ms |
3156 KB |
answer = YES |
46 |
Correct |
3 ms |
3028 KB |
answer = YES |
47 |
Correct |
2 ms |
3076 KB |
answer = YES |
48 |
Correct |
2 ms |
3156 KB |
answer = YES |
49 |
Correct |
55 ms |
3944 KB |
answer = YES |
50 |
Correct |
8 ms |
4308 KB |
answer = YES |
51 |
Correct |
38 ms |
4236 KB |
answer = YES |
52 |
Correct |
4 ms |
4180 KB |
answer = NO |
53 |
Correct |
5 ms |
3156 KB |
answer = YES |
54 |
Correct |
10 ms |
3288 KB |
answer = YES |
55 |
Correct |
22 ms |
3408 KB |
answer = YES |
56 |
Correct |
52 ms |
3816 KB |
answer = YES |
57 |
Correct |
43 ms |
3720 KB |
answer = YES |
58 |
Correct |
36 ms |
3724 KB |
answer = YES |
59 |
Correct |
7 ms |
3796 KB |
answer = YES |
60 |
Correct |
48 ms |
3892 KB |
answer = YES |
61 |
Correct |
5 ms |
3412 KB |
answer = YES |
62 |
Correct |
42 ms |
10536 KB |
answer = NO |
63 |
Correct |
44 ms |
10572 KB |
answer = YES |
64 |
Correct |
44 ms |
10572 KB |
answer = NO |
65 |
Correct |
45 ms |
10572 KB |
answer = YES |
66 |
Correct |
8 ms |
3156 KB |
answer = YES |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
3028 KB |
answer = YES |
2 |
Correct |
1 ms |
3028 KB |
answer = YES |
3 |
Correct |
2 ms |
3028 KB |
answer = YES |
4 |
Correct |
1 ms |
3028 KB |
answer = NO |
5 |
Correct |
2 ms |
3064 KB |
answer = YES |
6 |
Correct |
2 ms |
3068 KB |
answer = YES |
7 |
Correct |
2 ms |
3028 KB |
answer = YES |
8 |
Correct |
2 ms |
3028 KB |
answer = YES |
9 |
Correct |
2 ms |
3028 KB |
answer = NO |
10 |
Correct |
1 ms |
3068 KB |
answer = YES |
11 |
Correct |
2 ms |
3028 KB |
answer = YES |
12 |
Correct |
1 ms |
3028 KB |
answer = NO |
13 |
Correct |
2 ms |
3028 KB |
answer = YES |
14 |
Correct |
2 ms |
3028 KB |
answer = YES |
15 |
Correct |
2 ms |
3028 KB |
answer = YES |
16 |
Correct |
2 ms |
3028 KB |
answer = YES |
17 |
Correct |
2 ms |
3028 KB |
answer = YES |
18 |
Correct |
2 ms |
3068 KB |
answer = YES |
19 |
Correct |
2 ms |
3028 KB |
answer = YES |
20 |
Correct |
2 ms |
3064 KB |
answer = YES |
21 |
Correct |
2 ms |
3028 KB |
answer = YES |
22 |
Correct |
2 ms |
3028 KB |
answer = NO |
23 |
Correct |
2 ms |
3028 KB |
answer = NO |
24 |
Correct |
2 ms |
3028 KB |
answer = YES |
25 |
Correct |
2 ms |
3028 KB |
answer = YES |
26 |
Correct |
2 ms |
3064 KB |
answer = YES |
27 |
Correct |
2 ms |
3028 KB |
answer = YES |
28 |
Correct |
1 ms |
3028 KB |
answer = YES |
29 |
Correct |
2 ms |
3028 KB |
answer = YES |
30 |
Correct |
1 ms |
3028 KB |
answer = NO |
31 |
Correct |
2 ms |
3028 KB |
answer = YES |
32 |
Correct |
1 ms |
3028 KB |
answer = YES |
33 |
Correct |
2 ms |
3028 KB |
answer = YES |
34 |
Correct |
2 ms |
3028 KB |
answer = YES |
35 |
Correct |
2 ms |
3028 KB |
answer = YES |
36 |
Correct |
2 ms |
3028 KB |
answer = YES |
37 |
Correct |
3 ms |
3028 KB |
answer = YES |
38 |
Correct |
2 ms |
3028 KB |
answer = YES |
39 |
Correct |
3 ms |
3028 KB |
answer = YES |
40 |
Correct |
2 ms |
3156 KB |
answer = YES |
41 |
Correct |
2 ms |
3156 KB |
answer = NO |
42 |
Correct |
5 ms |
3156 KB |
answer = YES |
43 |
Correct |
5 ms |
3156 KB |
answer = YES |
44 |
Correct |
4 ms |
3156 KB |
answer = YES |
45 |
Correct |
2 ms |
3156 KB |
answer = YES |
46 |
Correct |
3 ms |
3028 KB |
answer = YES |
47 |
Correct |
2 ms |
3076 KB |
answer = YES |
48 |
Correct |
2 ms |
3156 KB |
answer = YES |
49 |
Correct |
55 ms |
3944 KB |
answer = YES |
50 |
Correct |
8 ms |
4308 KB |
answer = YES |
51 |
Correct |
38 ms |
4236 KB |
answer = YES |
52 |
Correct |
4 ms |
4180 KB |
answer = NO |
53 |
Correct |
5 ms |
3156 KB |
answer = YES |
54 |
Correct |
10 ms |
3288 KB |
answer = YES |
55 |
Correct |
22 ms |
3408 KB |
answer = YES |
56 |
Correct |
52 ms |
3816 KB |
answer = YES |
57 |
Correct |
43 ms |
3720 KB |
answer = YES |
58 |
Correct |
36 ms |
3724 KB |
answer = YES |
59 |
Correct |
7 ms |
3796 KB |
answer = YES |
60 |
Correct |
48 ms |
3892 KB |
answer = YES |
61 |
Correct |
5 ms |
3412 KB |
answer = YES |
62 |
Correct |
42 ms |
10536 KB |
answer = NO |
63 |
Correct |
44 ms |
10572 KB |
answer = YES |
64 |
Correct |
44 ms |
10572 KB |
answer = NO |
65 |
Correct |
45 ms |
10572 KB |
answer = YES |
66 |
Correct |
8 ms |
3156 KB |
answer = YES |
67 |
Correct |
315 ms |
20088 KB |
answer = YES |
68 |
Correct |
305 ms |
19868 KB |
answer = YES |
69 |
Correct |
76 ms |
20764 KB |
answer = YES |
70 |
Correct |
94 ms |
24276 KB |
answer = YES |
71 |
Correct |
80 ms |
20792 KB |
answer = YES |
72 |
Correct |
699 ms |
11624 KB |
answer = YES |
73 |
Correct |
73 ms |
11500 KB |
answer = YES |
74 |
Correct |
52 ms |
10832 KB |
answer = YES |
75 |
Correct |
22 ms |
11900 KB |
answer = NO |
76 |
Correct |
66 ms |
4088 KB |
answer = YES |
77 |
Correct |
144 ms |
5184 KB |
answer = YES |
78 |
Correct |
260 ms |
6768 KB |
answer = YES |
79 |
Correct |
629 ms |
10304 KB |
answer = YES |
80 |
Correct |
315 ms |
12748 KB |
answer = YES |
81 |
Correct |
33 ms |
13736 KB |
answer = NO |
82 |
Correct |
83 ms |
16356 KB |
answer = YES |
83 |
Correct |
103 ms |
20884 KB |
answer = YES |
84 |
Execution timed out |
763 ms |
19952 KB |
Time limit exceeded |
85 |
Halted |
0 ms |
0 KB |
- |