oj.uz

Submission #113938

# Submission time Handle Problem Language Result Execution time Memory
113938 2019-05-29T09:13:25 Z RockyB Construction of Highway (JOI18_construction) C++17
100 / 100
 435 ms 83064 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 66 ms 67704 KB Output is correct
2 Correct 65 ms 67704 KB Output is correct
3 Correct 69 ms 67676 KB Output is correct
4 Correct 67 ms 67832 KB Output is correct
5 Correct 72 ms 67704 KB Output is correct
6 Correct 67 ms 67704 KB Output is correct
7 Correct 66 ms 67744 KB Output is correct
8 Correct 69 ms 67704 KB Output is correct
9 Correct 76 ms 67836 KB Output is correct
10 Correct 64 ms 67704 KB Output is correct
11 Correct 74 ms 67704 KB Output is correct
12 Correct 67 ms 67704 KB Output is correct
13 Correct 74 ms 67704 KB Output is correct
14 Correct 73 ms 67704 KB Output is correct
15 Correct 65 ms 67576 KB Output is correct
16 Correct 75 ms 67704 KB Output is correct
17 Correct 65 ms 67704 KB Output is correct
18 Correct 73 ms 67688 KB Output is correct
19 Correct 65 ms 67704 KB Output is correct
20 Correct 66 ms 67704 KB Output is correct
21 Correct 66 ms 67704 KB Output is correct
22 Correct 65 ms 67704 KB Output is correct
23 Correct 69 ms 67704 KB Output is correct
24 Correct 75 ms 67704 KB Output is correct
25 Correct 66 ms 67832 KB Output is correct
26 Correct 66 ms 67704 KB Output is correct
27 Correct 66 ms 67704 KB Output is correct
28 Correct 67 ms 67732 KB Output is correct
29 Correct 65 ms 67708 KB Output is correct
30 Correct 66 ms 67704 KB Output is correct
31 Correct 68 ms 67704 KB Output is correct
32 Correct 78 ms 67676 KB Output is correct
33 Correct 65 ms 67704 KB Output is correct
34 Correct 66 ms 67760 KB Output is correct
35 Correct 67 ms 67876 KB Output is correct
36 Correct 67 ms 67704 KB Output is correct
37 Correct 67 ms 67704 KB Output is correct
38 Correct 65 ms 67704 KB Output is correct
39 Correct 66 ms 67708 KB Output is correct
40 Correct 65 ms 67704 KB Output is correct
41 Correct 64 ms 67704 KB Output is correct
42 Correct 64 ms 67704 KB Output is correct
43 Correct 67 ms 67704 KB Output is correct
44 Correct 73 ms 67748 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 67704 KB Output is correct
2 Correct 65 ms 67704 KB Output is correct
3 Correct 69 ms 67676 KB Output is correct
4 Correct 67 ms 67832 KB Output is correct
5 Correct 72 ms 67704 KB Output is correct
6 Correct 67 ms 67704 KB Output is correct
7 Correct 66 ms 67744 KB Output is correct
8 Correct 69 ms 67704 KB Output is correct
9 Correct 76 ms 67836 KB Output is correct
10 Correct 64 ms 67704 KB Output is correct
11 Correct 74 ms 67704 KB Output is correct
12 Correct 67 ms 67704 KB Output is correct
13 Correct 74 ms 67704 KB Output is correct
14 Correct 73 ms 67704 KB Output is correct
15 Correct 65 ms 67576 KB Output is correct
16 Correct 75 ms 67704 KB Output is correct
17 Correct 65 ms 67704 KB Output is correct
18 Correct 73 ms 67688 KB Output is correct
19 Correct 65 ms 67704 KB Output is correct
20 Correct 66 ms 67704 KB Output is correct
21 Correct 66 ms 67704 KB Output is correct
22 Correct 65 ms 67704 KB Output is correct
23 Correct 69 ms 67704 KB Output is correct
24 Correct 75 ms 67704 KB Output is correct
25 Correct 66 ms 67832 KB Output is correct
26 Correct 66 ms 67704 KB Output is correct
27 Correct 66 ms 67704 KB Output is correct
28 Correct 67 ms 67732 KB Output is correct
29 Correct 65 ms 67708 KB Output is correct
30 Correct 66 ms 67704 KB Output is correct
31 Correct 68 ms 67704 KB Output is correct
32 Correct 78 ms 67676 KB Output is correct
33 Correct 65 ms 67704 KB Output is correct
34 Correct 66 ms 67760 KB Output is correct
35 Correct 67 ms 67876 KB Output is correct
36 Correct 67 ms 67704 KB Output is correct
37 Correct 67 ms 67704 KB Output is correct
38 Correct 65 ms 67704 KB Output is correct
39 Correct 66 ms 67708 KB Output is correct
40 Correct 65 ms 67704 KB Output is correct
41 Correct 64 ms 67704 KB Output is correct
42 Correct 64 ms 67704 KB Output is correct
43 Correct 67 ms 67704 KB Output is correct
44 Correct 73 ms 67748 KB Output is correct
45 Correct 66 ms 67704 KB Output is correct
46 Correct 78 ms 67960 KB Output is correct
47 Correct 79 ms 67960 KB Output is correct
48 Correct 89 ms 68088 KB Output is correct
49 Correct 80 ms 68276 KB Output is correct
50 Correct 83 ms 68344 KB Output is correct
51 Correct 76 ms 68216 KB Output is correct
52 Correct 80 ms 68300 KB Output is correct
53 Correct 78 ms 68088 KB Output is correct
54 Correct 76 ms 68088 KB Output is correct
55 Correct 76 ms 68088 KB Output is correct
56 Correct 76 ms 68088 KB Output is correct
57 Correct 79 ms 67960 KB Output is correct
58 Correct 83 ms 67960 KB Output is correct
59 Correct 80 ms 68088 KB Output is correct
60 Correct 84 ms 67964 KB Output is correct
61 Correct 82 ms 68220 KB Output is correct
62 Correct 81 ms 68068 KB Output is correct
63 Correct 78 ms 68216 KB Output is correct
64 Correct 79 ms 67960 KB Output is correct
65 Correct 86 ms 67968 KB Output is correct
66 Correct 88 ms 68088 KB Output is correct
67 Correct 79 ms 68016 KB Output is correct
68 Correct 77 ms 68216 KB Output is correct
69 Correct 79 ms 68332 KB Output is correct
70 Correct 80 ms 68344 KB Output is correct
71 Correct 79 ms 68088 KB Output is correct
72 Correct 90 ms 67964 KB Output is correct
73 Correct 83 ms 67960 KB Output is correct
74 Correct 80 ms 68088 KB Output is correct
75 Correct 82 ms 68088 KB Output is correct
76 Correct 81 ms 68092 KB Output is correct
77 Correct 82 ms 67960 KB Output is correct
78 Correct 80 ms 68020 KB Output is correct
79 Correct 80 ms 68088 KB Output is correct
80 Correct 95 ms 67960 KB Output is correct
81 Correct 82 ms 68088 KB Output is correct
82 Correct 87 ms 67936 KB Output is correct
83 Correct 82 ms 67960 KB Output is correct
84 Correct 79 ms 67960 KB Output is correct
85 Correct 82 ms 68088 KB Output is correct
86 Correct 83 ms 68216 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 66 ms 67704 KB Output is correct
2 Correct 65 ms 67704 KB Output is correct
3 Correct 69 ms 67676 KB Output is correct
4 Correct 67 ms 67832 KB Output is correct
5 Correct 72 ms 67704 KB Output is correct
6 Correct 67 ms 67704 KB Output is correct
7 Correct 66 ms 67744 KB Output is correct
8 Correct 69 ms 67704 KB Output is correct
9 Correct 76 ms 67836 KB Output is correct
10 Correct 64 ms 67704 KB Output is correct
11 Correct 74 ms 67704 KB Output is correct
12 Correct 67 ms 67704 KB Output is correct
13 Correct 74 ms 67704 KB Output is correct
14 Correct 73 ms 67704 KB Output is correct
15 Correct 65 ms 67576 KB Output is correct
16 Correct 75 ms 67704 KB Output is correct
17 Correct 65 ms 67704 KB Output is correct
18 Correct 73 ms 67688 KB Output is correct
19 Correct 65 ms 67704 KB Output is correct
20 Correct 66 ms 67704 KB Output is correct
21 Correct 66 ms 67704 KB Output is correct
22 Correct 65 ms 67704 KB Output is correct
23 Correct 69 ms 67704 KB Output is correct
24 Correct 75 ms 67704 KB Output is correct
25 Correct 66 ms 67832 KB Output is correct
26 Correct 66 ms 67704 KB Output is correct
27 Correct 66 ms 67704 KB Output is correct
28 Correct 67 ms 67732 KB Output is correct
29 Correct 65 ms 67708 KB Output is correct
30 Correct 66 ms 67704 KB Output is correct
31 Correct 68 ms 67704 KB Output is correct
32 Correct 78 ms 67676 KB Output is correct
33 Correct 65 ms 67704 KB Output is correct
34 Correct 66 ms 67760 KB Output is correct
35 Correct 67 ms 67876 KB Output is correct
36 Correct 67 ms 67704 KB Output is correct
37 Correct 67 ms 67704 KB Output is correct
38 Correct 65 ms 67704 KB Output is correct
39 Correct 66 ms 67708 KB Output is correct
40 Correct 65 ms 67704 KB Output is correct
41 Correct 64 ms 67704 KB Output is correct
42 Correct 64 ms 67704 KB Output is correct
43 Correct 67 ms 67704 KB Output is correct
44 Correct 73 ms 67748 KB Output is correct
45 Correct 66 ms 67704 KB Output is correct
46 Correct 78 ms 67960 KB Output is correct
47 Correct 79 ms 67960 KB Output is correct
48 Correct 89 ms 68088 KB Output is correct
49 Correct 80 ms 68276 KB Output is correct
50 Correct 83 ms 68344 KB Output is correct
51 Correct 76 ms 68216 KB Output is correct
52 Correct 80 ms 68300 KB Output is correct
53 Correct 78 ms 68088 KB Output is correct
54 Correct 76 ms 68088 KB Output is correct
55 Correct 76 ms 68088 KB Output is correct
56 Correct 76 ms 68088 KB Output is correct
57 Correct 79 ms 67960 KB Output is correct
58 Correct 83 ms 67960 KB Output is correct
59 Correct 80 ms 68088 KB Output is correct
60 Correct 84 ms 67964 KB Output is correct
61 Correct 82 ms 68220 KB Output is correct
62 Correct 81 ms 68068 KB Output is correct
63 Correct 78 ms 68216 KB Output is correct
64 Correct 79 ms 67960 KB Output is correct
65 Correct 86 ms 67968 KB Output is correct
66 Correct 88 ms 68088 KB Output is correct
67 Correct 79 ms 68016 KB Output is correct
68 Correct 77 ms 68216 KB Output is correct
69 Correct 79 ms 68332 KB Output is correct
70 Correct 80 ms 68344 KB Output is correct
71 Correct 79 ms 68088 KB Output is correct
72 Correct 90 ms 67964 KB Output is correct
73 Correct 83 ms 67960 KB Output is correct
74 Correct 80 ms 68088 KB Output is correct
75 Correct 82 ms 68088 KB Output is correct
76 Correct 81 ms 68092 KB Output is correct
77 Correct 82 ms 67960 KB Output is correct
78 Correct 80 ms 68020 KB Output is correct
79 Correct 80 ms 68088 KB Output is correct
80 Correct 95 ms 67960 KB Output is correct
81 Correct 82 ms 68088 KB Output is correct
82 Correct 87 ms 67936 KB Output is correct
83 Correct 82 ms 67960 KB Output is correct
84 Correct 79 ms 67960 KB Output is correct
85 Correct 82 ms 68088 KB Output is correct
86 Correct 83 ms 68216 KB Output is correct
87 Correct 88 ms 68472 KB Output is correct
88 Correct 132 ms 70020 KB Output is correct
89 Correct 361 ms 75560 KB Output is correct
90 Correct 376 ms 75384 KB Output is correct
91 Correct 338 ms 75512 KB Output is correct
92 Correct 167 ms 81524 KB Output is correct
93 Correct 158 ms 81552 KB Output is correct
94 Correct 178 ms 81528 KB Output is correct
95 Correct 193 ms 79188 KB Output is correct
96 Correct 184 ms 81236 KB Output is correct
97 Correct 187 ms 81304 KB Output is correct
98 Correct 188 ms 81280 KB Output is correct
99 Correct 171 ms 80044 KB Output is correct
100 Correct 357 ms 77720 KB Output is correct
101 Correct 435 ms 78200 KB Output is correct
102 Correct 416 ms 78072 KB Output is correct
103 Correct 393 ms 78072 KB Output is correct
104 Correct 177 ms 80040 KB Output is correct
105 Correct 176 ms 80040 KB Output is correct
106 Correct 173 ms 79972 KB Output is correct
107 Correct 303 ms 76724 KB Output is correct
108 Correct 338 ms 76892 KB Output is correct
109 Correct 401 ms 77148 KB Output is correct
110 Correct 153 ms 83064 KB Output is correct
111 Correct 193 ms 80984 KB Output is correct
112 Correct 192 ms 80724 KB Output is correct
113 Correct 181 ms 79656 KB Output is correct
114 Correct 332 ms 77652 KB Output is correct
115 Correct 420 ms 77560 KB Output is correct
116 Correct 182 ms 79464 KB Output is correct
117 Correct 181 ms 78432 KB Output is correct
118 Correct 181 ms 78172 KB Output is correct
119 Correct 193 ms 77824 KB Output is correct
120 Correct 170 ms 78072 KB Output is correct
121 Correct 178 ms 77688 KB Output is correct
122 Correct 184 ms 77596 KB Output is correct
123 Correct 183 ms 78584 KB Output is correct
124 Correct 200 ms 78176 KB Output is correct
125 Correct 196 ms 78020 KB Output is correct
126 Correct 202 ms 78284 KB Output is correct
127 Correct 207 ms 77956 KB Output is correct
128 Correct 186 ms 77560 KB Output is correct