| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 802094 |
2023-08-02T09:50:38 Z |
parsadox2 |
Graph (BOI20_graph) |
C++14 |
|
150 ms |
27904 KB |
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int maxn = 1e5 + 10;
const long long inf = 1e18;
int n , m;
double ar[maxn] , x;
vector <pair<int , int>> adj[maxn];
pair<int , int> dis[maxn];
bool marked[maxn] , flg;
vector <int> trav;
void dfs(int v)
{
marked[v] = true;
trav.push_back(v);
for(auto e : adj[v])
{
int u = e.first , w = e.second;
if(!marked[u])
{
dis[u].first = w - dis[v].first;
dis[u].second = -1 * dis[v].second;
dfs(u);
}
else if(dis[u].second == dis[v].second)
{
flg = true;
x = w - dis[u].first - dis[v].first;
x = 1.0 * x / 2;
if(dis[u].second == -1)
x *= -1;
}
else if(dis[u].first + dis[v].first != w)
{
cout << "NO" << '\n';
exit(0);
}
}
}
void solve(int v)
{
flg = false;
dis[v] = make_pair(0 , 1);
trav.clear();
dfs(v);
if(flg)
{
for(auto u : trav)
{
ar[u] = dis[u].first;
ar[u] += 1.0 * dis[u].second * x;
}
for(auto u : trav) for(auto e : adj[u]) if(ar[u] + ar[e.first] != e.second)
{
cout << "NO" << '\n';
exit(0);
}
return;
}
vector <int> ngt , pst;
for(auto u : trav)
{
if(dis[u].second == -1)
ngt.push_back(dis[u].first);
else
pst.push_back(dis[u].first);
}
vector <int> pngt , ppst;
sort(ngt.begin() , ngt.end());
sort(pst.begin() , pst.end());
pngt.push_back(0);
ppst.push_back(0);
for(auto u : ngt)
pngt.push_back(pngt.back() + u);
for(auto u : pst)
ppst.push_back(ppst.back() + u);
int ili = trav.size();
long long sum = inf;
for(int i = -2 * ili ; i <= 2 * ili ; i++)
{
int tmp = lower_bound(pst.begin() , pst.end() , -i) - pst.begin();
long long now = 0;
now -= ppst[tmp];
now -= tmp * i;
now += (ppst.back() - ppst[tmp]);
now += (ppst.size() - tmp) * i;
int j = -i;
tmp = lower_bound(ngt.begin() , ngt.end() , -j) - ngt.begin();
now -= pngt[tmp];
now -= tmp * j;
now += (pngt.back() - pngt[tmp]);
now += (pngt.size() - tmp) * j;
if(now < sum)
{
sum = now;
x = i;
}
}
for(auto u : trav)
{
ar[u] = dis[u].first;
ar[u] += 1.0 * dis[u].second * x;
}
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
cin >> n >> m;
for(int i = 0 ; i < m ; i++)
{
int v , u , w; cin >> v >> u >> w;
adj[v].push_back({u , w});
adj[u].push_back({v , w});
}
for(int i = 1 ; i <= n ; i++) if(!marked[i])
solve(i);
cout << "YES" << '\n';
cout << setprecision(1) << fixed;
for(int i = 1 ; i <= n ; i++)
cout << ar[i] << " ";
cout << '\n';
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 2 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 3 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 4 |
Correct |
1 ms |
2644 KB |
answer = NO |
| 5 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 6 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 7 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 8 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 9 |
Correct |
2 ms |
2644 KB |
answer = NO |
| 10 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 11 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 12 |
Correct |
2 ms |
2644 KB |
answer = NO |
| 13 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 14 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 15 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 16 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 17 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 18 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 19 |
Correct |
2 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 |
2644 KB |
answer = YES |
| 2 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 3 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 4 |
Correct |
1 ms |
2644 KB |
answer = NO |
| 5 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 6 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 7 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 8 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 9 |
Correct |
2 ms |
2644 KB |
answer = NO |
| 10 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 11 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 12 |
Correct |
2 ms |
2644 KB |
answer = NO |
| 13 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 14 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 15 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 16 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 17 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 18 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 19 |
Correct |
2 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 |
2688 KB |
answer = YES |
| 25 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 26 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 27 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 28 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 29 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 30 |
Correct |
2 ms |
2688 KB |
answer = NO |
| 31 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 32 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 33 |
Correct |
2 ms |
2816 KB |
answer = YES |
| 34 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 35 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 36 |
Correct |
1 ms |
2684 KB |
answer = YES |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 2 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 3 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 4 |
Correct |
1 ms |
2644 KB |
answer = NO |
| 5 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 6 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 7 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 8 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 9 |
Correct |
2 ms |
2644 KB |
answer = NO |
| 10 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 11 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 12 |
Correct |
2 ms |
2644 KB |
answer = NO |
| 13 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 14 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 15 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 16 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 17 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 18 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 19 |
Correct |
2 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 |
2688 KB |
answer = YES |
| 25 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 26 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 27 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 28 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 29 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 30 |
Correct |
2 ms |
2688 KB |
answer = NO |
| 31 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 32 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 33 |
Correct |
2 ms |
2816 KB |
answer = YES |
| 34 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 35 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 36 |
Correct |
1 ms |
2684 KB |
answer = YES |
| 37 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 38 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 39 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 40 |
Correct |
2 ms |
2696 KB |
answer = YES |
| 41 |
Correct |
2 ms |
2772 KB |
answer = NO |
| 42 |
Correct |
2 ms |
2820 KB |
answer = YES |
| 43 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 44 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 45 |
Correct |
2 ms |
2792 KB |
answer = YES |
| 46 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 47 |
Correct |
2 ms |
2776 KB |
answer = YES |
| 48 |
Correct |
2 ms |
2772 KB |
answer = YES |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 2 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 3 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 4 |
Correct |
1 ms |
2644 KB |
answer = NO |
| 5 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 6 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 7 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 8 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 9 |
Correct |
2 ms |
2644 KB |
answer = NO |
| 10 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 11 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 12 |
Correct |
2 ms |
2644 KB |
answer = NO |
| 13 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 14 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 15 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 16 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 17 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 18 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 19 |
Correct |
2 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 |
2688 KB |
answer = YES |
| 25 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 26 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 27 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 28 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 29 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 30 |
Correct |
2 ms |
2688 KB |
answer = NO |
| 31 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 32 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 33 |
Correct |
2 ms |
2816 KB |
answer = YES |
| 34 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 35 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 36 |
Correct |
1 ms |
2684 KB |
answer = YES |
| 37 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 38 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 39 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 40 |
Correct |
2 ms |
2696 KB |
answer = YES |
| 41 |
Correct |
2 ms |
2772 KB |
answer = NO |
| 42 |
Correct |
2 ms |
2820 KB |
answer = YES |
| 43 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 44 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 45 |
Correct |
2 ms |
2792 KB |
answer = YES |
| 46 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 47 |
Correct |
2 ms |
2776 KB |
answer = YES |
| 48 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 49 |
Correct |
8 ms |
3924 KB |
answer = YES |
| 50 |
Correct |
8 ms |
4108 KB |
answer = YES |
| 51 |
Correct |
11 ms |
4240 KB |
answer = YES |
| 52 |
Correct |
4 ms |
3412 KB |
answer = NO |
| 53 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 54 |
Correct |
3 ms |
3028 KB |
answer = YES |
| 55 |
Correct |
7 ms |
3340 KB |
answer = YES |
| 56 |
Correct |
8 ms |
3868 KB |
answer = YES |
| 57 |
Correct |
8 ms |
3668 KB |
answer = YES |
| 58 |
Correct |
7 ms |
3668 KB |
answer = YES |
| 59 |
Correct |
9 ms |
3540 KB |
answer = YES |
| 60 |
Correct |
8 ms |
3808 KB |
answer = YES |
| 61 |
Correct |
4 ms |
3168 KB |
answer = YES |
| 62 |
Correct |
43 ms |
14184 KB |
answer = NO |
| 63 |
Correct |
66 ms |
15056 KB |
answer = YES |
| 64 |
Correct |
57 ms |
14924 KB |
answer = NO |
| 65 |
Correct |
60 ms |
14980 KB |
answer = YES |
| 66 |
Correct |
3 ms |
2900 KB |
answer = YES |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 2 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 3 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 4 |
Correct |
1 ms |
2644 KB |
answer = NO |
| 5 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 6 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 7 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 8 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 9 |
Correct |
2 ms |
2644 KB |
answer = NO |
| 10 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 11 |
Correct |
1 ms |
2644 KB |
answer = YES |
| 12 |
Correct |
2 ms |
2644 KB |
answer = NO |
| 13 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 14 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 15 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 16 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 17 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 18 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 19 |
Correct |
2 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 |
2688 KB |
answer = YES |
| 25 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 26 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 27 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 28 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 29 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 30 |
Correct |
2 ms |
2688 KB |
answer = NO |
| 31 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 32 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 33 |
Correct |
2 ms |
2816 KB |
answer = YES |
| 34 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 35 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 36 |
Correct |
1 ms |
2684 KB |
answer = YES |
| 37 |
Correct |
2 ms |
2688 KB |
answer = YES |
| 38 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 39 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 40 |
Correct |
2 ms |
2696 KB |
answer = YES |
| 41 |
Correct |
2 ms |
2772 KB |
answer = NO |
| 42 |
Correct |
2 ms |
2820 KB |
answer = YES |
| 43 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 44 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 45 |
Correct |
2 ms |
2792 KB |
answer = YES |
| 46 |
Correct |
2 ms |
2644 KB |
answer = YES |
| 47 |
Correct |
2 ms |
2776 KB |
answer = YES |
| 48 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 49 |
Correct |
8 ms |
3924 KB |
answer = YES |
| 50 |
Correct |
8 ms |
4108 KB |
answer = YES |
| 51 |
Correct |
11 ms |
4240 KB |
answer = YES |
| 52 |
Correct |
4 ms |
3412 KB |
answer = NO |
| 53 |
Correct |
2 ms |
2772 KB |
answer = YES |
| 54 |
Correct |
3 ms |
3028 KB |
answer = YES |
| 55 |
Correct |
7 ms |
3340 KB |
answer = YES |
| 56 |
Correct |
8 ms |
3868 KB |
answer = YES |
| 57 |
Correct |
8 ms |
3668 KB |
answer = YES |
| 58 |
Correct |
7 ms |
3668 KB |
answer = YES |
| 59 |
Correct |
9 ms |
3540 KB |
answer = YES |
| 60 |
Correct |
8 ms |
3808 KB |
answer = YES |
| 61 |
Correct |
4 ms |
3168 KB |
answer = YES |
| 62 |
Correct |
43 ms |
14184 KB |
answer = NO |
| 63 |
Correct |
66 ms |
15056 KB |
answer = YES |
| 64 |
Correct |
57 ms |
14924 KB |
answer = NO |
| 65 |
Correct |
60 ms |
14980 KB |
answer = YES |
| 66 |
Correct |
3 ms |
2900 KB |
answer = YES |
| 67 |
Correct |
87 ms |
22032 KB |
answer = YES |
| 68 |
Correct |
87 ms |
22008 KB |
answer = YES |
| 69 |
Correct |
67 ms |
20180 KB |
answer = YES |
| 70 |
Correct |
130 ms |
27904 KB |
answer = YES |
| 71 |
Correct |
66 ms |
20288 KB |
answer = YES |
| 72 |
Correct |
86 ms |
14656 KB |
answer = YES |
| 73 |
Correct |
94 ms |
12912 KB |
answer = YES |
| 74 |
Correct |
61 ms |
13224 KB |
answer = YES |
| 75 |
Correct |
19 ms |
10024 KB |
answer = NO |
| 76 |
Correct |
10 ms |
4180 KB |
answer = YES |
| 77 |
Correct |
20 ms |
5640 KB |
answer = YES |
| 78 |
Correct |
36 ms |
7852 KB |
answer = YES |
| 79 |
Correct |
84 ms |
13028 KB |
answer = YES |
| 80 |
Correct |
78 ms |
14092 KB |
answer = YES |
| 81 |
Correct |
44 ms |
15292 KB |
answer = NO |
| 82 |
Correct |
91 ms |
19656 KB |
answer = YES |
| 83 |
Correct |
116 ms |
21040 KB |
answer = YES |
| 84 |
Correct |
150 ms |
22516 KB |
answer = YES |
| 85 |
Correct |
103 ms |
21948 KB |
answer = YES |
| 86 |
Correct |
67 ms |
20360 KB |
answer = YES |
| 87 |
Correct |
58 ms |
14244 KB |
answer = NO |
| 88 |
Correct |
106 ms |
15996 KB |
answer = YES |
| 89 |
Correct |
76 ms |
11568 KB |
answer = YES |
| 90 |
Correct |
60 ms |
11436 KB |
answer = YES |
| 91 |
Correct |
70 ms |
12084 KB |
answer = YES |
| 92 |
Correct |
32 ms |
7808 KB |
answer = YES |
| 93 |
Correct |
32 ms |
7816 KB |
answer = YES |
| 94 |
Correct |
48 ms |
19600 KB |
answer = NO |
| 95 |
Correct |
31 ms |
11600 KB |
answer = NO |
| 96 |
Correct |
128 ms |
24168 KB |
answer = YES |
| 97 |
Correct |
28 ms |
19008 KB |
answer = NO |
