Submission #557820

# Submission time Handle Problem Language Result Execution time Memory
557820 2022-05-06T05:17:41 Z Ai7081 Graph (BOI20_graph) C++17
100 / 100
142 ms 20264 KB
#include <bits/stdc++.h>
using namespace std;
#define st first
#define nd second

const int N = 1e5 + 5;

int n, m;
double ans[N];
pair<int, int> val[N], x;
bool mark[N], markx, fail;
vector<pair<int, int>> adj[N];
vector<int> a, now;

void dfs(int v) {
    if (fail) return;
    mark[v] = true;
    now.push_back(v);
    for (auto [to, w] : adj[v]) {
        if (mark[to]) {
            if (val[v].nd != val[to].nd) {
                if (val[v].st + val[to].st != w) {fail = true; return;}
            }
            else {
                if (markx) {
                    if (x.nd*(val[v].st+val[to].st) + x.st*(val[v].nd+val[to].nd) != x.nd*w) {
                        fail = true; return;
                    }
                }
                else if (val[v].nd == val[to].nd) {
                    x = {w-(val[v].st+val[to].st), val[v].nd+val[to].nd};
                    markx = true;
                }
            }
        }
        else {
            val[to] = {w-val[v].st, -val[v].nd};
            dfs(to);
        }
    }
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);
    scanf(" %d %d", &n, &m);
    while (m--) {
        int u, v, w;
        scanf(" %d %d %d", &u, &v, &w);
        adj[u].push_back({v, w});
        adj[v].push_back({u, w});
    }
    for (int i=1; i<=n; i++) if (!mark[i]) {
        markx = false;
        now.clear();
        val[i] = {0, 1};
        dfs(i);
        if (fail) {printf("NO"); return 0;}
        if (!markx) {
            a.clear();
            for (auto i : now) a.push_back(-val[i].nd*val[i].st);
            sort(a.begin(), a.end());
            x = {a[a.size()/2], 1};
        }
        for (auto i : now) ans[i] = (double)(x.st*val[i].nd+x.nd*val[i].st) / (double)x.nd;
    }
    printf("YES\n");
    for (int i=1; i<=n; i++) printf("%lf ", ans[i]);
    return 0;
}

Compilation message

Graph.cpp: In function 'int main()':
Graph.cpp:45:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   45 |     scanf(" %d %d", &n, &m);
      |     ~~~~~^~~~~~~~~~~~~~~~~~
Graph.cpp:48:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   48 |         scanf(" %d %d %d", &u, &v, &w);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2768 KB answer = YES
2 Correct 2 ms 2644 KB answer = YES
3 Correct 1 ms 2644 KB answer = YES
4 Correct 1 ms 2644 KB answer = NO
5 Correct 1 ms 2644 KB answer = YES
6 Correct 1 ms 2644 KB answer = YES
7 Correct 2 ms 2644 KB answer = YES
8 Correct 1 ms 2644 KB answer = YES
9 Correct 1 ms 2644 KB answer = NO
10 Correct 1 ms 2656 KB answer = YES
11 Correct 1 ms 2644 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 1 ms 2644 KB answer = YES
14 Correct 1 ms 2644 KB answer = YES
15 Correct 2 ms 2632 KB answer = YES
16 Correct 1 ms 2644 KB answer = YES
17 Correct 2 ms 2644 KB answer = YES
18 Correct 1 ms 2644 KB answer = YES
19 Correct 1 ms 2644 KB answer = YES
20 Correct 1 ms 2644 KB answer = YES
21 Correct 2 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2644 KB answer = NO
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2768 KB answer = YES
2 Correct 2 ms 2644 KB answer = YES
3 Correct 1 ms 2644 KB answer = YES
4 Correct 1 ms 2644 KB answer = NO
5 Correct 1 ms 2644 KB answer = YES
6 Correct 1 ms 2644 KB answer = YES
7 Correct 2 ms 2644 KB answer = YES
8 Correct 1 ms 2644 KB answer = YES
9 Correct 1 ms 2644 KB answer = NO
10 Correct 1 ms 2656 KB answer = YES
11 Correct 1 ms 2644 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 1 ms 2644 KB answer = YES
14 Correct 1 ms 2644 KB answer = YES
15 Correct 2 ms 2632 KB answer = YES
16 Correct 1 ms 2644 KB answer = YES
17 Correct 2 ms 2644 KB answer = YES
18 Correct 1 ms 2644 KB answer = YES
19 Correct 1 ms 2644 KB answer = YES
20 Correct 1 ms 2644 KB answer = YES
21 Correct 2 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2644 KB answer = NO
24 Correct 2 ms 2644 KB answer = YES
25 Correct 2 ms 2644 KB answer = YES
26 Correct 2 ms 2644 KB answer = YES
27 Correct 2 ms 2644 KB answer = YES
28 Correct 1 ms 2644 KB answer = YES
29 Correct 1 ms 2644 KB answer = YES
30 Correct 1 ms 2644 KB answer = NO
31 Correct 1 ms 2644 KB answer = YES
32 Correct 2 ms 2644 KB answer = YES
33 Correct 1 ms 2644 KB answer = YES
34 Correct 1 ms 2644 KB answer = YES
35 Correct 1 ms 2680 KB answer = YES
36 Correct 2 ms 2676 KB answer = YES
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2768 KB answer = YES
2 Correct 2 ms 2644 KB answer = YES
3 Correct 1 ms 2644 KB answer = YES
4 Correct 1 ms 2644 KB answer = NO
5 Correct 1 ms 2644 KB answer = YES
6 Correct 1 ms 2644 KB answer = YES
7 Correct 2 ms 2644 KB answer = YES
8 Correct 1 ms 2644 KB answer = YES
9 Correct 1 ms 2644 KB answer = NO
10 Correct 1 ms 2656 KB answer = YES
11 Correct 1 ms 2644 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 1 ms 2644 KB answer = YES
14 Correct 1 ms 2644 KB answer = YES
15 Correct 2 ms 2632 KB answer = YES
16 Correct 1 ms 2644 KB answer = YES
17 Correct 2 ms 2644 KB answer = YES
18 Correct 1 ms 2644 KB answer = YES
19 Correct 1 ms 2644 KB answer = YES
20 Correct 1 ms 2644 KB answer = YES
21 Correct 2 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2644 KB answer = NO
24 Correct 2 ms 2644 KB answer = YES
25 Correct 2 ms 2644 KB answer = YES
26 Correct 2 ms 2644 KB answer = YES
27 Correct 2 ms 2644 KB answer = YES
28 Correct 1 ms 2644 KB answer = YES
29 Correct 1 ms 2644 KB answer = YES
30 Correct 1 ms 2644 KB answer = NO
31 Correct 1 ms 2644 KB answer = YES
32 Correct 2 ms 2644 KB answer = YES
33 Correct 1 ms 2644 KB answer = YES
34 Correct 1 ms 2644 KB answer = YES
35 Correct 1 ms 2680 KB answer = YES
36 Correct 2 ms 2676 KB answer = YES
37 Correct 2 ms 2644 KB answer = YES
38 Correct 2 ms 2644 KB answer = YES
39 Correct 2 ms 2644 KB answer = YES
40 Correct 3 ms 2648 KB answer = YES
41 Correct 2 ms 2644 KB answer = NO
42 Correct 2 ms 2772 KB answer = YES
43 Correct 2 ms 2644 KB answer = YES
44 Correct 2 ms 2644 KB answer = YES
45 Correct 3 ms 2644 KB answer = YES
46 Correct 2 ms 2644 KB answer = YES
47 Correct 2 ms 2644 KB answer = YES
48 Correct 3 ms 2688 KB answer = YES
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2768 KB answer = YES
2 Correct 2 ms 2644 KB answer = YES
3 Correct 1 ms 2644 KB answer = YES
4 Correct 1 ms 2644 KB answer = NO
5 Correct 1 ms 2644 KB answer = YES
6 Correct 1 ms 2644 KB answer = YES
7 Correct 2 ms 2644 KB answer = YES
8 Correct 1 ms 2644 KB answer = YES
9 Correct 1 ms 2644 KB answer = NO
10 Correct 1 ms 2656 KB answer = YES
11 Correct 1 ms 2644 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 1 ms 2644 KB answer = YES
14 Correct 1 ms 2644 KB answer = YES
15 Correct 2 ms 2632 KB answer = YES
16 Correct 1 ms 2644 KB answer = YES
17 Correct 2 ms 2644 KB answer = YES
18 Correct 1 ms 2644 KB answer = YES
19 Correct 1 ms 2644 KB answer = YES
20 Correct 1 ms 2644 KB answer = YES
21 Correct 2 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2644 KB answer = NO
24 Correct 2 ms 2644 KB answer = YES
25 Correct 2 ms 2644 KB answer = YES
26 Correct 2 ms 2644 KB answer = YES
27 Correct 2 ms 2644 KB answer = YES
28 Correct 1 ms 2644 KB answer = YES
29 Correct 1 ms 2644 KB answer = YES
30 Correct 1 ms 2644 KB answer = NO
31 Correct 1 ms 2644 KB answer = YES
32 Correct 2 ms 2644 KB answer = YES
33 Correct 1 ms 2644 KB answer = YES
34 Correct 1 ms 2644 KB answer = YES
35 Correct 1 ms 2680 KB answer = YES
36 Correct 2 ms 2676 KB answer = YES
37 Correct 2 ms 2644 KB answer = YES
38 Correct 2 ms 2644 KB answer = YES
39 Correct 2 ms 2644 KB answer = YES
40 Correct 3 ms 2648 KB answer = YES
41 Correct 2 ms 2644 KB answer = NO
42 Correct 2 ms 2772 KB answer = YES
43 Correct 2 ms 2644 KB answer = YES
44 Correct 2 ms 2644 KB answer = YES
45 Correct 3 ms 2644 KB answer = YES
46 Correct 2 ms 2644 KB answer = YES
47 Correct 2 ms 2644 KB answer = YES
48 Correct 3 ms 2688 KB answer = YES
49 Correct 8 ms 3464 KB answer = YES
50 Correct 9 ms 3712 KB answer = YES
51 Correct 9 ms 3796 KB answer = YES
52 Correct 5 ms 3156 KB answer = NO
53 Correct 3 ms 2688 KB answer = YES
54 Correct 3 ms 2820 KB answer = YES
55 Correct 6 ms 3124 KB answer = YES
56 Correct 8 ms 3540 KB answer = YES
57 Correct 9 ms 3540 KB answer = YES
58 Correct 8 ms 3328 KB answer = YES
59 Correct 8 ms 3412 KB answer = YES
60 Correct 9 ms 3412 KB answer = YES
61 Correct 5 ms 3028 KB answer = YES
62 Correct 65 ms 9420 KB answer = NO
63 Correct 74 ms 10068 KB answer = YES
64 Correct 71 ms 10068 KB answer = NO
65 Correct 70 ms 10120 KB answer = YES
66 Correct 3 ms 2840 KB answer = YES
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2768 KB answer = YES
2 Correct 2 ms 2644 KB answer = YES
3 Correct 1 ms 2644 KB answer = YES
4 Correct 1 ms 2644 KB answer = NO
5 Correct 1 ms 2644 KB answer = YES
6 Correct 1 ms 2644 KB answer = YES
7 Correct 2 ms 2644 KB answer = YES
8 Correct 1 ms 2644 KB answer = YES
9 Correct 1 ms 2644 KB answer = NO
10 Correct 1 ms 2656 KB answer = YES
11 Correct 1 ms 2644 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 1 ms 2644 KB answer = YES
14 Correct 1 ms 2644 KB answer = YES
15 Correct 2 ms 2632 KB answer = YES
16 Correct 1 ms 2644 KB answer = YES
17 Correct 2 ms 2644 KB answer = YES
18 Correct 1 ms 2644 KB answer = YES
19 Correct 1 ms 2644 KB answer = YES
20 Correct 1 ms 2644 KB answer = YES
21 Correct 2 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2644 KB answer = NO
24 Correct 2 ms 2644 KB answer = YES
25 Correct 2 ms 2644 KB answer = YES
26 Correct 2 ms 2644 KB answer = YES
27 Correct 2 ms 2644 KB answer = YES
28 Correct 1 ms 2644 KB answer = YES
29 Correct 1 ms 2644 KB answer = YES
30 Correct 1 ms 2644 KB answer = NO
31 Correct 1 ms 2644 KB answer = YES
32 Correct 2 ms 2644 KB answer = YES
33 Correct 1 ms 2644 KB answer = YES
34 Correct 1 ms 2644 KB answer = YES
35 Correct 1 ms 2680 KB answer = YES
36 Correct 2 ms 2676 KB answer = YES
37 Correct 2 ms 2644 KB answer = YES
38 Correct 2 ms 2644 KB answer = YES
39 Correct 2 ms 2644 KB answer = YES
40 Correct 3 ms 2648 KB answer = YES
41 Correct 2 ms 2644 KB answer = NO
42 Correct 2 ms 2772 KB answer = YES
43 Correct 2 ms 2644 KB answer = YES
44 Correct 2 ms 2644 KB answer = YES
45 Correct 3 ms 2644 KB answer = YES
46 Correct 2 ms 2644 KB answer = YES
47 Correct 2 ms 2644 KB answer = YES
48 Correct 3 ms 2688 KB answer = YES
49 Correct 8 ms 3464 KB answer = YES
50 Correct 9 ms 3712 KB answer = YES
51 Correct 9 ms 3796 KB answer = YES
52 Correct 5 ms 3156 KB answer = NO
53 Correct 3 ms 2688 KB answer = YES
54 Correct 3 ms 2820 KB answer = YES
55 Correct 6 ms 3124 KB answer = YES
56 Correct 8 ms 3540 KB answer = YES
57 Correct 9 ms 3540 KB answer = YES
58 Correct 8 ms 3328 KB answer = YES
59 Correct 8 ms 3412 KB answer = YES
60 Correct 9 ms 3412 KB answer = YES
61 Correct 5 ms 3028 KB answer = YES
62 Correct 65 ms 9420 KB answer = NO
63 Correct 74 ms 10068 KB answer = YES
64 Correct 71 ms 10068 KB answer = NO
65 Correct 70 ms 10120 KB answer = YES
66 Correct 3 ms 2840 KB answer = YES
67 Correct 75 ms 16960 KB answer = YES
68 Correct 73 ms 16760 KB answer = YES
69 Correct 79 ms 16396 KB answer = YES
70 Correct 102 ms 20264 KB answer = YES
71 Correct 69 ms 16436 KB answer = YES
72 Correct 78 ms 11148 KB answer = YES
73 Correct 75 ms 10948 KB answer = YES
74 Correct 51 ms 10876 KB answer = YES
75 Correct 28 ms 7976 KB answer = NO
76 Correct 10 ms 3716 KB answer = YES
77 Correct 18 ms 4844 KB answer = YES
78 Correct 32 ms 6404 KB answer = YES
79 Correct 69 ms 9956 KB answer = YES
80 Correct 55 ms 11116 KB answer = YES
81 Correct 50 ms 11652 KB answer = NO
82 Correct 80 ms 16056 KB answer = YES
83 Correct 95 ms 16648 KB answer = YES
84 Correct 96 ms 16908 KB answer = YES
85 Correct 75 ms 16956 KB answer = YES
86 Correct 73 ms 16576 KB answer = YES
87 Correct 50 ms 10792 KB answer = NO
88 Correct 97 ms 12712 KB answer = YES
89 Correct 75 ms 9580 KB answer = YES
90 Correct 77 ms 9592 KB answer = YES
91 Correct 74 ms 9636 KB answer = YES
92 Correct 36 ms 6732 KB answer = YES
93 Correct 35 ms 6768 KB answer = YES
94 Correct 56 ms 14744 KB answer = NO
95 Correct 46 ms 8800 KB answer = NO
96 Correct 142 ms 17800 KB answer = YES
97 Correct 40 ms 14784 KB answer = NO