oj.uz

Submission #56335

# Submission time Handle Problem Language Result Execution time Memory
56335 2018-07-11T05:22:31 Z khsoo01(#2109) Construction of Highway (JOI18_construction) C++11
100 / 100
 750 ms 81956 KB 
#include <bits/stdc++.h>
using namespace std;

const int NMAX=100000;
const int BS=17;

int Par[NMAX],Dep[NMAX],X[NMAX],dep[NMAX],par[NMAX],S[NMAX];

int n;
vector<vector<int> > e;

void dfs(int i)
{
  S[i]=0;
  for(int x=0;x<e[i].size();x++){
    int j=e[i][x];
    dep[j]=dep[i]+1;
    par[j]=i;
    dfs(j);
    S[i]+=S[j];
  }
}

void HLD()
{
  dep[0]=0;
  par[0]=-1;
  dfs(0);
  int NX=0;
  Par[0]=0;
  Dep[0]=0;
  stack<int> ST;
  ST.push(0);
  while(!ST.empty()){
    int i=ST.top();
    ST.pop();
    X[i]=NX;
    NX++;
    int K=-1;
    for(int j=0;j<e[i].size();j++){
      int k=e[i][j];
      if(K==-1||S[K]<S[k]){
	K=k;
      }
    }
    if(K==-1)continue;
    Par[K]=Par[i];
    Dep[K]=Dep[i]+1;
    for(int j=0;j<e[i].size();j++){
      int k=e[i][j];
      if(k==K)continue;
      Par[k]=k;
      Dep[k]=0;
      ST.push(k);
    }
    ST.push(K);
  }
}

stack<pair<int,int> > St[NMAX];

long long bit[1<<BS];
void bitadd(int N,int i,long long v)
{
  int p=i+1;
  while(p<1<<N){
    bit[p]+=v;
    p+=p&-p;
  }
}
long long bitsum(int N,int i)
{
  int p=i+1;
  long long ret=0;
  while(p>0){
    ret+=bit[p];
    p-=p&-p;
  }
  return ret;
}

long long cal_inv(vector<pair<int,int> > &V)
{
  int n=V.size(),N=0;
  while((1<<N)<=n)N++;
  vector<int> X(n);
  for(int i=0;i<n;i++)X[i]=V[i].first;
  sort(X.begin(),X.end());
  for(int i=0;i<n;i++)V[i].first=lower_bound(X.begin(),X.end(),V[i].first)-X.begin();
  for(int i=0;i<(1<<N);i++)bit[i]=0;
  long long ret=0ll;
  for(int t=0;t<n;t++){
    ret+=bitsum(N,V[t].first-1)*V[t].second;
    bitadd(N,V[t].first,V[t].second);
  }
  return ret;
}

int main()
{
  scanf("%d",&n);
  vector<int> C(n);
  for(int i=0;i<n;i++){
    scanf("%d",&(C[i]));
  }
  vector<int> A(n-1),B(n-1);
  for(int i=0;i<n-1;i++){
    scanf("%d%d",&(A[i]),&(B[i]));
    A[i]--,B[i]--;
  }
  e=vector<vector<int> >(n);
  for(int i=0;i<n-1;i++){
    e[A[i]].push_back(B[i]);
  }
  HLD();
  for(int T=0;T<n-1;T++){
    int p=B[T],c=C[p];
    vector<pair<int,int> > V;
    while(p!=-1){
      int d=Dep[p]+1,t=0;
      p=Par[p];
      stack<pair<int,int> > &S=St[p];
      vector<pair<int,int> > V2;
      while(!S.empty()&&S.top().second<=d){
	pair<int,int> pr=S.top();
	S.pop();
	V2.push_back(make_pair(pr.first,pr.second-t));
	t=pr.second;
      }
      if(!S.empty()){
	V2.push_back(make_pair(S.top().first,d-t));
      }
      S.push(make_pair(c,d));
      for(int x=V2.size()-1;x>=0;x--)V.push_back(V2[x]);
      p=par[p];
    }
    printf("%lld\n",cal_inv(V));
  }
  return 0;
}

Compilation message

construction.cpp: In function 'void dfs(int)':
construction.cpp:15:16: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int x=0;x<e[i].size();x++){
               ~^~~~~~~~~~~~
construction.cpp: In function 'void HLD()':
construction.cpp:40:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int j=0;j<e[i].size();j++){
                 ~^~~~~~~~~~~~
construction.cpp:49:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int j=0;j<e[i].size();j++){
                 ~^~~~~~~~~~~~
construction.cpp: In function 'int main()':
construction.cpp:101:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d",&n);
   ~~~~~^~~~~~~~~
construction.cpp:104:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d",&(C[i]));
     ~~~~~^~~~~~~~~~~~~~
construction.cpp:108:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d",&(A[i]),&(B[i]));
     ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 67576 KB Output is correct
2 Correct 72 ms 67684 KB Output is correct
3 Correct 74 ms 67736 KB Output is correct
4 Correct 69 ms 67808 KB Output is correct
5 Correct 76 ms 68100 KB Output is correct
6 Correct 71 ms 68100 KB Output is correct
7 Correct 75 ms 68100 KB Output is correct
8 Correct 70 ms 68100 KB Output is correct
9 Correct 69 ms 68100 KB Output is correct
10 Correct 69 ms 68100 KB Output is correct
11 Correct 71 ms 68100 KB Output is correct
12 Correct 67 ms 68100 KB Output is correct
13 Correct 73 ms 68100 KB Output is correct
14 Correct 134 ms 68100 KB Output is correct
15 Correct 71 ms 68100 KB Output is correct
16 Correct 72 ms 68100 KB Output is correct
17 Correct 74 ms 68100 KB Output is correct
18 Correct 70 ms 68100 KB Output is correct
19 Correct 60 ms 68100 KB Output is correct
20 Correct 62 ms 68100 KB Output is correct
21 Correct 70 ms 68100 KB Output is correct
22 Correct 70 ms 68100 KB Output is correct
23 Correct 72 ms 68100 KB Output is correct
24 Correct 69 ms 68100 KB Output is correct
25 Correct 60 ms 68100 KB Output is correct
26 Correct 64 ms 68100 KB Output is correct
27 Correct 64 ms 68100 KB Output is correct
28 Correct 63 ms 68100 KB Output is correct
29 Correct 63 ms 68100 KB Output is correct
30 Correct 77 ms 68100 KB Output is correct
31 Correct 71 ms 68100 KB Output is correct
32 Correct 69 ms 68100 KB Output is correct
33 Correct 61 ms 68100 KB Output is correct
34 Correct 73 ms 68100 KB Output is correct
35 Correct 61 ms 68120 KB Output is correct
36 Correct 61 ms 68120 KB Output is correct
37 Correct 62 ms 68120 KB Output is correct
38 Correct 73 ms 68120 KB Output is correct
39 Correct 74 ms 68120 KB Output is correct
40 Correct 69 ms 68120 KB Output is correct
41 Correct 70 ms 68120 KB Output is correct
42 Correct 67 ms 68120 KB Output is correct
43 Correct 82 ms 68120 KB Output is correct
44 Correct 70 ms 68120 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 67576 KB Output is correct
2 Correct 72 ms 67684 KB Output is correct
3 Correct 74 ms 67736 KB Output is correct
4 Correct 69 ms 67808 KB Output is correct
5 Correct 76 ms 68100 KB Output is correct
6 Correct 71 ms 68100 KB Output is correct
7 Correct 75 ms 68100 KB Output is correct
8 Correct 70 ms 68100 KB Output is correct
9 Correct 69 ms 68100 KB Output is correct
10 Correct 69 ms 68100 KB Output is correct
11 Correct 71 ms 68100 KB Output is correct
12 Correct 67 ms 68100 KB Output is correct
13 Correct 73 ms 68100 KB Output is correct
14 Correct 134 ms 68100 KB Output is correct
15 Correct 71 ms 68100 KB Output is correct
16 Correct 72 ms 68100 KB Output is correct
17 Correct 74 ms 68100 KB Output is correct
18 Correct 70 ms 68100 KB Output is correct
19 Correct 60 ms 68100 KB Output is correct
20 Correct 62 ms 68100 KB Output is correct
21 Correct 70 ms 68100 KB Output is correct
22 Correct 70 ms 68100 KB Output is correct
23 Correct 72 ms 68100 KB Output is correct
24 Correct 69 ms 68100 KB Output is correct
25 Correct 60 ms 68100 KB Output is correct
26 Correct 64 ms 68100 KB Output is correct
27 Correct 64 ms 68100 KB Output is correct
28 Correct 63 ms 68100 KB Output is correct
29 Correct 63 ms 68100 KB Output is correct
30 Correct 77 ms 68100 KB Output is correct
31 Correct 71 ms 68100 KB Output is correct
32 Correct 69 ms 68100 KB Output is correct
33 Correct 61 ms 68100 KB Output is correct
34 Correct 73 ms 68100 KB Output is correct
35 Correct 61 ms 68120 KB Output is correct
36 Correct 61 ms 68120 KB Output is correct
37 Correct 62 ms 68120 KB Output is correct
38 Correct 73 ms 68120 KB Output is correct
39 Correct 74 ms 68120 KB Output is correct
40 Correct 69 ms 68120 KB Output is correct
41 Correct 70 ms 68120 KB Output is correct
42 Correct 67 ms 68120 KB Output is correct
43 Correct 82 ms 68120 KB Output is correct
44 Correct 70 ms 68120 KB Output is correct
45 Correct 73 ms 68120 KB Output is correct
46 Correct 86 ms 68288 KB Output is correct
47 Correct 104 ms 68288 KB Output is correct
48 Correct 82 ms 68288 KB Output is correct
49 Correct 84 ms 68440 KB Output is correct
50 Correct 102 ms 68508 KB Output is correct
51 Correct 71 ms 68508 KB Output is correct
52 Correct 76 ms 68508 KB Output is correct
53 Correct 79 ms 68508 KB Output is correct
54 Correct 89 ms 68508 KB Output is correct
55 Correct 91 ms 68508 KB Output is correct
56 Correct 117 ms 68508 KB Output is correct
57 Correct 101 ms 68508 KB Output is correct
58 Correct 87 ms 68508 KB Output is correct
59 Correct 76 ms 68508 KB Output is correct
60 Correct 76 ms 68508 KB Output is correct
61 Correct 71 ms 68508 KB Output is correct
62 Correct 82 ms 68540 KB Output is correct
63 Correct 74 ms 68540 KB Output is correct
64 Correct 109 ms 68540 KB Output is correct
65 Correct 85 ms 68540 KB Output is correct
66 Correct 86 ms 68540 KB Output is correct
67 Correct 80 ms 68540 KB Output is correct
68 Correct 73 ms 68592 KB Output is correct
69 Correct 78 ms 68592 KB Output is correct
70 Correct 79 ms 68592 KB Output is correct
71 Correct 76 ms 68592 KB Output is correct
72 Correct 92 ms 68592 KB Output is correct
73 Correct 96 ms 68592 KB Output is correct
74 Correct 84 ms 68592 KB Output is correct
75 Correct 74 ms 68592 KB Output is correct
76 Correct 79 ms 68592 KB Output is correct
77 Correct 81 ms 68592 KB Output is correct
78 Correct 88 ms 68592 KB Output is correct
79 Correct 70 ms 68592 KB Output is correct
80 Correct 71 ms 68592 KB Output is correct
81 Correct 72 ms 68592 KB Output is correct
82 Correct 85 ms 68592 KB Output is correct
83 Correct 108 ms 68592 KB Output is correct
84 Correct 77 ms 68592 KB Output is correct
85 Correct 89 ms 68592 KB Output is correct
86 Correct 89 ms 68592 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 67576 KB Output is correct
2 Correct 72 ms 67684 KB Output is correct
3 Correct 74 ms 67736 KB Output is correct
4 Correct 69 ms 67808 KB Output is correct
5 Correct 76 ms 68100 KB Output is correct
6 Correct 71 ms 68100 KB Output is correct
7 Correct 75 ms 68100 KB Output is correct
8 Correct 70 ms 68100 KB Output is correct
9 Correct 69 ms 68100 KB Output is correct
10 Correct 69 ms 68100 KB Output is correct
11 Correct 71 ms 68100 KB Output is correct
12 Correct 67 ms 68100 KB Output is correct
13 Correct 73 ms 68100 KB Output is correct
14 Correct 134 ms 68100 KB Output is correct
15 Correct 71 ms 68100 KB Output is correct
16 Correct 72 ms 68100 KB Output is correct
17 Correct 74 ms 68100 KB Output is correct
18 Correct 70 ms 68100 KB Output is correct
19 Correct 60 ms 68100 KB Output is correct
20 Correct 62 ms 68100 KB Output is correct
21 Correct 70 ms 68100 KB Output is correct
22 Correct 70 ms 68100 KB Output is correct
23 Correct 72 ms 68100 KB Output is correct
24 Correct 69 ms 68100 KB Output is correct
25 Correct 60 ms 68100 KB Output is correct
26 Correct 64 ms 68100 KB Output is correct
27 Correct 64 ms 68100 KB Output is correct
28 Correct 63 ms 68100 KB Output is correct
29 Correct 63 ms 68100 KB Output is correct
30 Correct 77 ms 68100 KB Output is correct
31 Correct 71 ms 68100 KB Output is correct
32 Correct 69 ms 68100 KB Output is correct
33 Correct 61 ms 68100 KB Output is correct
34 Correct 73 ms 68100 KB Output is correct
35 Correct 61 ms 68120 KB Output is correct
36 Correct 61 ms 68120 KB Output is correct
37 Correct 62 ms 68120 KB Output is correct
38 Correct 73 ms 68120 KB Output is correct
39 Correct 74 ms 68120 KB Output is correct
40 Correct 69 ms 68120 KB Output is correct
41 Correct 70 ms 68120 KB Output is correct
42 Correct 67 ms 68120 KB Output is correct
43 Correct 82 ms 68120 KB Output is correct
44 Correct 70 ms 68120 KB Output is correct
45 Correct 73 ms 68120 KB Output is correct
46 Correct 86 ms 68288 KB Output is correct
47 Correct 104 ms 68288 KB Output is correct
48 Correct 82 ms 68288 KB Output is correct
49 Correct 84 ms 68440 KB Output is correct
50 Correct 102 ms 68508 KB Output is correct
51 Correct 71 ms 68508 KB Output is correct
52 Correct 76 ms 68508 KB Output is correct
53 Correct 79 ms 68508 KB Output is correct
54 Correct 89 ms 68508 KB Output is correct
55 Correct 91 ms 68508 KB Output is correct
56 Correct 117 ms 68508 KB Output is correct
57 Correct 101 ms 68508 KB Output is correct
58 Correct 87 ms 68508 KB Output is correct
59 Correct 76 ms 68508 KB Output is correct
60 Correct 76 ms 68508 KB Output is correct
61 Correct 71 ms 68508 KB Output is correct
62 Correct 82 ms 68540 KB Output is correct
63 Correct 74 ms 68540 KB Output is correct
64 Correct 109 ms 68540 KB Output is correct
65 Correct 85 ms 68540 KB Output is correct
66 Correct 86 ms 68540 KB Output is correct
67 Correct 80 ms 68540 KB Output is correct
68 Correct 73 ms 68592 KB Output is correct
69 Correct 78 ms 68592 KB Output is correct
70 Correct 79 ms 68592 KB Output is correct
71 Correct 76 ms 68592 KB Output is correct
72 Correct 92 ms 68592 KB Output is correct
73 Correct 96 ms 68592 KB Output is correct
74 Correct 84 ms 68592 KB Output is correct
75 Correct 74 ms 68592 KB Output is correct
76 Correct 79 ms 68592 KB Output is correct
77 Correct 81 ms 68592 KB Output is correct
78 Correct 88 ms 68592 KB Output is correct
79 Correct 70 ms 68592 KB Output is correct
80 Correct 71 ms 68592 KB Output is correct
81 Correct 72 ms 68592 KB Output is correct
82 Correct 85 ms 68592 KB Output is correct
83 Correct 108 ms 68592 KB Output is correct
84 Correct 77 ms 68592 KB Output is correct
85 Correct 89 ms 68592 KB Output is correct
86 Correct 89 ms 68592 KB Output is correct
87 Correct 88 ms 68796 KB Output is correct
88 Correct 159 ms 70480 KB Output is correct
89 Correct 467 ms 76092 KB Output is correct
90 Correct 566 ms 76092 KB Output is correct
91 Correct 407 ms 76092 KB Output is correct
92 Correct 231 ms 81956 KB Output is correct
93 Correct 233 ms 81956 KB Output is correct
94 Correct 230 ms 81956 KB Output is correct
95 Correct 245 ms 81956 KB Output is correct
96 Correct 244 ms 81956 KB Output is correct
97 Correct 295 ms 81956 KB Output is correct
98 Correct 259 ms 81956 KB Output is correct
99 Correct 235 ms 81956 KB Output is correct
100 Correct 642 ms 81956 KB Output is correct
101 Correct 750 ms 81956 KB Output is correct
102 Correct 705 ms 81956 KB Output is correct
103 Correct 591 ms 81956 KB Output is correct
104 Correct 240 ms 81956 KB Output is correct
105 Correct 196 ms 81956 KB Output is correct
106 Correct 244 ms 81956 KB Output is correct
107 Correct 459 ms 81956 KB Output is correct
108 Correct 421 ms 81956 KB Output is correct
109 Correct 436 ms 81956 KB Output is correct
110 Correct 224 ms 81956 KB Output is correct
111 Correct 241 ms 81956 KB Output is correct
112 Correct 211 ms 81956 KB Output is correct
113 Correct 225 ms 81956 KB Output is correct
114 Correct 546 ms 81956 KB Output is correct
115 Correct 574 ms 81956 KB Output is correct
116 Correct 226 ms 81956 KB Output is correct
117 Correct 263 ms 81956 KB Output is correct
118 Correct 296 ms 81956 KB Output is correct
119 Correct 237 ms 81956 KB Output is correct
120 Correct 270 ms 81956 KB Output is correct
121 Correct 231 ms 81956 KB Output is correct
122 Correct 304 ms 81956 KB Output is correct
123 Correct 221 ms 81956 KB Output is correct
124 Correct 281 ms 81956 KB Output is correct
125 Correct 236 ms 81956 KB Output is correct
126 Correct 240 ms 81956 KB Output is correct
127 Correct 217 ms 81956 KB Output is correct
128 Correct 245 ms 81956 KB Output is correct