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Submission #479404

# Submission time Handle Problem Language Result Execution time Memory
479404 2021-10-11T15:43:09 Z DDTerziev04 Graph (BOI20_graph) C++14
100 / 100
 298 ms 20292 KB 
#include<iostream>
#include<vector>
using namespace std;

const int MAXN=1e5;
const double INF=1e9;

vector<pair<int, int> > adj[MAXN];
vector<int> seg;
double val[MAXN], ans[MAXN];
bool v[MAXN], s[MAXN];

void DFS(int idx)
{
   v[idx]=true;
   seg.push_back(idx);

   for(pair<int, int> node:adj[idx])
   {
      if(!v[node.first])
      {
         val[node.first]=node.second-val[idx];
         s[node.first]=!s[idx];

         DFS(node.first);
      }
   }

   return;
}

double GetValue(double x1, bool s1, double x2, bool s2)
{
   if(s1==s2)
   {
      if(x1-x2==0)
      {
         return INF;
      }

      return -INF;
   }

   if(s1)
   {
      return -(x1-x2)/2;
   }

   return (x1-x2)/2;
}

double GetSum(double x)
{
   double res=0;
   for(int node:seg)
   {
      if(s[node])
      {
         res+=abs(val[node]+x);
      }
      else
      {
         res+=abs(val[node]-x);
      }
   }

   return res;
}

bool AssignValues(int idx)
{
   seg.clear();

   val[idx]=0;
   s[idx]=true;

   DFS(idx);

   double x=INF;
   for(int node:seg)
   {
      for(pair<int, int> u:adj[node])
      {
         double temp=GetValue(val[u.first], s[u.first], u.second-val[node], !s[node]);

         if(temp==-INF)
         {
            return false;
         }

         if(temp==INF)
         {
            continue;
         }

         if(x==INF)
         {
            x=temp;
         }
         else if(x!=temp)
         {
            return false;
         }
      }
   }

   if(x==INF)
   {
      double res=INF;
      for(double i=-100; i<100; i+=0.5)
      {
         if(GetSum(i)<res)
         {
            x=i;
            res=GetSum(i);
         }
      }
   }

   for(int node:seg)
   {
      if(s[node])
      {
         ans[node]=val[node]+x;
      }
      else
      {
         ans[node]=val[node]-x;
      }
   }

   return true;
}

int main()
{
   ios_base::sync_with_stdio(0);
   cin.tie(0);

   int n, m;
   cin >> n >> m;

   for(int i=0; i<m; i++)
   {
      int a, b, x;
      cin >> a >> b >> x;
      a--, b--;

      adj[a].push_back({b, x});
      adj[b].push_back({a, x});
   }

   for(int i=0; i<n; i++)
   {
      val[i]=0;
      v[i]=false;
   }

   for(int i=0; i<n; i++)
   {
      if(!v[i] && !AssignValues(i))
      {
         cout << "NO\n";

         return 0;
      }
   }

   cout << "YES\n";
   for(int i=0; i<n; i++)
   {
      cout << ans[i] << " ";
   }
   cout << "\n";

   return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2636 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2636 KB answer = YES
6 Correct 2 ms 2636 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2636 KB answer = YES
12 Correct 1 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2636 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 1 ms 2636 KB answer = YES
19 Correct 1 ms 2636 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2636 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2636 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2636 KB answer = YES
6 Correct 2 ms 2636 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2636 KB answer = YES
12 Correct 1 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2636 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 1 ms 2636 KB answer = YES
19 Correct 1 ms 2636 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2636 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2636 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2636 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2636 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2680 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2636 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2636 KB answer = YES
6 Correct 2 ms 2636 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2636 KB answer = YES
12 Correct 1 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2636 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 1 ms 2636 KB answer = YES
19 Correct 1 ms 2636 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2636 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2636 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2636 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2636 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2680 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES
37 Correct 2 ms 2636 KB answer = YES
38 Correct 2 ms 2636 KB answer = YES
39 Correct 2 ms 2636 KB answer = YES
40 Correct 3 ms 2636 KB answer = YES
41 Correct 2 ms 2636 KB answer = NO
42 Correct 3 ms 2636 KB answer = YES
43 Correct 3 ms 2636 KB answer = YES
44 Correct 3 ms 2636 KB answer = YES
45 Correct 2 ms 2636 KB answer = YES
46 Correct 2 ms 2636 KB answer = YES
47 Correct 3 ms 2764 KB answer = YES
48 Correct 2 ms 2764 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2636 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2636 KB answer = YES
6 Correct 2 ms 2636 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2636 KB answer = YES
12 Correct 1 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2636 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 1 ms 2636 KB answer = YES
19 Correct 1 ms 2636 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2636 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2636 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2636 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2636 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2680 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES
37 Correct 2 ms 2636 KB answer = YES
38 Correct 2 ms 2636 KB answer = YES
39 Correct 2 ms 2636 KB answer = YES
40 Correct 3 ms 2636 KB answer = YES
41 Correct 2 ms 2636 KB answer = NO
42 Correct 3 ms 2636 KB answer = YES
43 Correct 3 ms 2636 KB answer = YES
44 Correct 3 ms 2636 KB answer = YES
45 Correct 2 ms 2636 KB answer = YES
46 Correct 2 ms 2636 KB answer = YES
47 Correct 3 ms 2764 KB answer = YES
48 Correct 2 ms 2764 KB answer = YES
49 Correct 21 ms 3276 KB answer = YES
50 Correct 11 ms 3560 KB answer = YES
51 Correct 19 ms 3660 KB answer = YES
52 Correct 6 ms 3532 KB answer = NO
53 Correct 3 ms 2736 KB answer = YES
54 Correct 5 ms 2764 KB answer = YES
55 Correct 11 ms 2968 KB answer = YES
56 Correct 27 ms 3276 KB answer = YES
57 Correct 17 ms 3148 KB answer = YES
58 Correct 15 ms 3192 KB answer = YES
59 Correct 10 ms 3208 KB answer = YES
60 Correct 19 ms 3320 KB answer = YES
61 Correct 6 ms 2944 KB answer = YES
62 Correct 56 ms 7896 KB answer = NO
63 Correct 64 ms 8004 KB answer = YES
64 Correct 76 ms 7920 KB answer = NO
65 Correct 68 ms 8004 KB answer = YES
66 Correct 5 ms 2764 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB answer = YES
2 Correct 2 ms 2636 KB answer = YES
3 Correct 2 ms 2636 KB answer = YES
4 Correct 2 ms 2636 KB answer = NO
5 Correct 2 ms 2636 KB answer = YES
6 Correct 2 ms 2636 KB answer = YES
7 Correct 2 ms 2636 KB answer = YES
8 Correct 2 ms 2636 KB answer = YES
9 Correct 2 ms 2636 KB answer = NO
10 Correct 2 ms 2636 KB answer = YES
11 Correct 2 ms 2636 KB answer = YES
12 Correct 1 ms 2636 KB answer = NO
13 Correct 2 ms 2636 KB answer = YES
14 Correct 2 ms 2636 KB answer = YES
15 Correct 2 ms 2636 KB answer = YES
16 Correct 2 ms 2636 KB answer = YES
17 Correct 2 ms 2636 KB answer = YES
18 Correct 1 ms 2636 KB answer = YES
19 Correct 1 ms 2636 KB answer = YES
20 Correct 2 ms 2636 KB answer = YES
21 Correct 2 ms 2636 KB answer = YES
22 Correct 2 ms 2636 KB answer = NO
23 Correct 2 ms 2636 KB answer = NO
24 Correct 2 ms 2636 KB answer = YES
25 Correct 2 ms 2636 KB answer = YES
26 Correct 2 ms 2636 KB answer = YES
27 Correct 2 ms 2636 KB answer = YES
28 Correct 2 ms 2636 KB answer = YES
29 Correct 2 ms 2636 KB answer = YES
30 Correct 2 ms 2636 KB answer = NO
31 Correct 2 ms 2636 KB answer = YES
32 Correct 2 ms 2636 KB answer = YES
33 Correct 2 ms 2636 KB answer = YES
34 Correct 2 ms 2680 KB answer = YES
35 Correct 2 ms 2636 KB answer = YES
36 Correct 2 ms 2636 KB answer = YES
37 Correct 2 ms 2636 KB answer = YES
38 Correct 2 ms 2636 KB answer = YES
39 Correct 2 ms 2636 KB answer = YES
40 Correct 3 ms 2636 KB answer = YES
41 Correct 2 ms 2636 KB answer = NO
42 Correct 3 ms 2636 KB answer = YES
43 Correct 3 ms 2636 KB answer = YES
44 Correct 3 ms 2636 KB answer = YES
45 Correct 2 ms 2636 KB answer = YES
46 Correct 2 ms 2636 KB answer = YES
47 Correct 3 ms 2764 KB answer = YES
48 Correct 2 ms 2764 KB answer = YES
49 Correct 21 ms 3276 KB answer = YES
50 Correct 11 ms 3560 KB answer = YES
51 Correct 19 ms 3660 KB answer = YES
52 Correct 6 ms 3532 KB answer = NO
53 Correct 3 ms 2736 KB answer = YES
54 Correct 5 ms 2764 KB answer = YES
55 Correct 11 ms 2968 KB answer = YES
56 Correct 27 ms 3276 KB answer = YES
57 Correct 17 ms 3148 KB answer = YES
58 Correct 15 ms 3192 KB answer = YES
59 Correct 10 ms 3208 KB answer = YES
60 Correct 19 ms 3320 KB answer = YES
61 Correct 6 ms 2944 KB answer = YES
62 Correct 56 ms 7896 KB answer = NO
63 Correct 64 ms 8004 KB answer = YES
64 Correct 76 ms 7920 KB answer = NO
65 Correct 68 ms 8004 KB answer = YES
66 Correct 5 ms 2764 KB answer = YES
67 Correct 138 ms 14684 KB answer = YES
68 Correct 139 ms 15792 KB answer = YES
69 Correct 101 ms 15764 KB answer = YES
70 Correct 123 ms 20292 KB answer = YES
71 Correct 87 ms 16076 KB answer = YES
72 Correct 298 ms 10172 KB answer = YES
73 Correct 104 ms 10148 KB answer = YES
74 Correct 61 ms 10480 KB answer = YES
75 Correct 28 ms 9792 KB answer = NO
76 Correct 30 ms 3660 KB answer = YES
77 Correct 64 ms 4528 KB answer = YES
78 Correct 114 ms 5956 KB answer = YES
79 Correct 243 ms 9100 KB answer = YES
80 Correct 100 ms 10440 KB answer = YES
81 Correct 47 ms 11884 KB answer = NO
82 Correct 96 ms 15620 KB answer = YES
83 Correct 121 ms 15956 KB answer = YES
84 Correct 208 ms 15888 KB answer = YES
85 Correct 152 ms 15928 KB answer = YES
86 Correct 87 ms 15984 KB answer = YES
87 Correct 51 ms 10928 KB answer = NO
88 Correct 124 ms 12292 KB answer = YES
89 Correct 92 ms 9156 KB answer = YES
90 Correct 95 ms 9100 KB answer = YES
91 Correct 98 ms 9156 KB answer = YES
92 Correct 47 ms 6600 KB answer = YES
93 Correct 44 ms 6472 KB answer = YES
94 Correct 73 ms 14816 KB answer = NO
95 Correct 48 ms 8772 KB answer = NO
96 Correct 171 ms 17928 KB answer = YES
97 Correct 37 ms 14780 KB answer = NO