oj.uz

Submission #43962

# Submission time Handle Problem Language Result Execution time Memory
43962 2018-03-29T01:08:34 Z model_code Construction of Highway (JOI18_construction) C++17
100 / 100
 445 ms 151112 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 56 ms 67704 KB Output is correct
2 Correct 56 ms 67816 KB Output is correct
3 Correct 56 ms 67816 KB Output is correct
4 Correct 57 ms 67816 KB Output is correct
5 Correct 56 ms 67944 KB Output is correct
6 Correct 58 ms 67948 KB Output is correct
7 Correct 56 ms 67964 KB Output is correct
8 Correct 59 ms 67964 KB Output is correct
9 Correct 57 ms 67964 KB Output is correct
10 Correct 56 ms 68056 KB Output is correct
11 Correct 58 ms 68116 KB Output is correct
12 Correct 57 ms 68116 KB Output is correct
13 Correct 59 ms 68116 KB Output is correct
14 Correct 59 ms 68116 KB Output is correct
15 Correct 59 ms 68116 KB Output is correct
16 Correct 58 ms 68116 KB Output is correct
17 Correct 63 ms 68116 KB Output is correct
18 Correct 59 ms 68116 KB Output is correct
19 Correct 58 ms 68116 KB Output is correct
20 Correct 59 ms 68116 KB Output is correct
21 Correct 58 ms 68116 KB Output is correct
22 Correct 59 ms 68116 KB Output is correct
23 Correct 60 ms 68116 KB Output is correct
24 Correct 59 ms 68116 KB Output is correct
25 Correct 59 ms 68116 KB Output is correct
26 Correct 56 ms 68116 KB Output is correct
27 Correct 56 ms 68116 KB Output is correct
28 Correct 57 ms 68116 KB Output is correct
29 Correct 57 ms 68116 KB Output is correct
30 Correct 67 ms 68116 KB Output is correct
31 Correct 57 ms 68116 KB Output is correct
32 Correct 56 ms 68116 KB Output is correct
33 Correct 57 ms 68116 KB Output is correct
34 Correct 59 ms 68116 KB Output is correct
35 Correct 58 ms 68116 KB Output is correct
36 Correct 57 ms 68116 KB Output is correct
37 Correct 58 ms 68116 KB Output is correct
38 Correct 56 ms 68116 KB Output is correct
39 Correct 107 ms 68116 KB Output is correct
40 Correct 59 ms 68116 KB Output is correct
41 Correct 57 ms 68116 KB Output is correct
42 Correct 59 ms 68116 KB Output is correct
43 Correct 59 ms 68116 KB Output is correct
44 Correct 58 ms 68116 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 67704 KB Output is correct
2 Correct 56 ms 67816 KB Output is correct
3 Correct 56 ms 67816 KB Output is correct
4 Correct 57 ms 67816 KB Output is correct
5 Correct 56 ms 67944 KB Output is correct
6 Correct 58 ms 67948 KB Output is correct
7 Correct 56 ms 67964 KB Output is correct
8 Correct 59 ms 67964 KB Output is correct
9 Correct 57 ms 67964 KB Output is correct
10 Correct 56 ms 68056 KB Output is correct
11 Correct 58 ms 68116 KB Output is correct
12 Correct 57 ms 68116 KB Output is correct
13 Correct 59 ms 68116 KB Output is correct
14 Correct 59 ms 68116 KB Output is correct
15 Correct 59 ms 68116 KB Output is correct
16 Correct 58 ms 68116 KB Output is correct
17 Correct 63 ms 68116 KB Output is correct
18 Correct 59 ms 68116 KB Output is correct
19 Correct 58 ms 68116 KB Output is correct
20 Correct 59 ms 68116 KB Output is correct
21 Correct 58 ms 68116 KB Output is correct
22 Correct 59 ms 68116 KB Output is correct
23 Correct 60 ms 68116 KB Output is correct
24 Correct 59 ms 68116 KB Output is correct
25 Correct 59 ms 68116 KB Output is correct
26 Correct 56 ms 68116 KB Output is correct
27 Correct 56 ms 68116 KB Output is correct
28 Correct 57 ms 68116 KB Output is correct
29 Correct 57 ms 68116 KB Output is correct
30 Correct 67 ms 68116 KB Output is correct
31 Correct 57 ms 68116 KB Output is correct
32 Correct 56 ms 68116 KB Output is correct
33 Correct 57 ms 68116 KB Output is correct
34 Correct 59 ms 68116 KB Output is correct
35 Correct 58 ms 68116 KB Output is correct
36 Correct 57 ms 68116 KB Output is correct
37 Correct 58 ms 68116 KB Output is correct
38 Correct 56 ms 68116 KB Output is correct
39 Correct 107 ms 68116 KB Output is correct
40 Correct 59 ms 68116 KB Output is correct
41 Correct 57 ms 68116 KB Output is correct
42 Correct 59 ms 68116 KB Output is correct
43 Correct 59 ms 68116 KB Output is correct
44 Correct 58 ms 68116 KB Output is correct
45 Correct 61 ms 68116 KB Output is correct
46 Correct 89 ms 68252 KB Output is correct
47 Correct 73 ms 68412 KB Output is correct
48 Correct 71 ms 68488 KB Output is correct
49 Correct 72 ms 68804 KB Output is correct
50 Correct 66 ms 68876 KB Output is correct
51 Correct 65 ms 68876 KB Output is correct
52 Correct 66 ms 68892 KB Output is correct
53 Correct 74 ms 69036 KB Output is correct
54 Correct 68 ms 69076 KB Output is correct
55 Correct 68 ms 69076 KB Output is correct
56 Correct 70 ms 69076 KB Output is correct
57 Correct 70 ms 69076 KB Output is correct
58 Correct 74 ms 69100 KB Output is correct
59 Correct 74 ms 69112 KB Output is correct
60 Correct 75 ms 69216 KB Output is correct
61 Correct 69 ms 69272 KB Output is correct
62 Correct 142 ms 69336 KB Output is correct
63 Correct 68 ms 69396 KB Output is correct
64 Correct 71 ms 69396 KB Output is correct
65 Correct 71 ms 69528 KB Output is correct
66 Correct 71 ms 69528 KB Output is correct
67 Correct 71 ms 69528 KB Output is correct
68 Correct 67 ms 69724 KB Output is correct
69 Correct 66 ms 69756 KB Output is correct
70 Correct 66 ms 69776 KB Output is correct
71 Correct 67 ms 69796 KB Output is correct
72 Correct 69 ms 69796 KB Output is correct
73 Correct 71 ms 69796 KB Output is correct
74 Correct 67 ms 69804 KB Output is correct
75 Correct 68 ms 69836 KB Output is correct
76 Correct 67 ms 69888 KB Output is correct
77 Correct 71 ms 69932 KB Output is correct
78 Correct 72 ms 69980 KB Output is correct
79 Correct 68 ms 70012 KB Output is correct
80 Correct 67 ms 70012 KB Output is correct
81 Correct 89 ms 70076 KB Output is correct
82 Correct 69 ms 70168 KB Output is correct
83 Correct 74 ms 70168 KB Output is correct
84 Correct 67 ms 70220 KB Output is correct
85 Correct 68 ms 70220 KB Output is correct
86 Correct 71 ms 70220 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 67704 KB Output is correct
2 Correct 56 ms 67816 KB Output is correct
3 Correct 56 ms 67816 KB Output is correct
4 Correct 57 ms 67816 KB Output is correct
5 Correct 56 ms 67944 KB Output is correct
6 Correct 58 ms 67948 KB Output is correct
7 Correct 56 ms 67964 KB Output is correct
8 Correct 59 ms 67964 KB Output is correct
9 Correct 57 ms 67964 KB Output is correct
10 Correct 56 ms 68056 KB Output is correct
11 Correct 58 ms 68116 KB Output is correct
12 Correct 57 ms 68116 KB Output is correct
13 Correct 59 ms 68116 KB Output is correct
14 Correct 59 ms 68116 KB Output is correct
15 Correct 59 ms 68116 KB Output is correct
16 Correct 58 ms 68116 KB Output is correct
17 Correct 63 ms 68116 KB Output is correct
18 Correct 59 ms 68116 KB Output is correct
19 Correct 58 ms 68116 KB Output is correct
20 Correct 59 ms 68116 KB Output is correct
21 Correct 58 ms 68116 KB Output is correct
22 Correct 59 ms 68116 KB Output is correct
23 Correct 60 ms 68116 KB Output is correct
24 Correct 59 ms 68116 KB Output is correct
25 Correct 59 ms 68116 KB Output is correct
26 Correct 56 ms 68116 KB Output is correct
27 Correct 56 ms 68116 KB Output is correct
28 Correct 57 ms 68116 KB Output is correct
29 Correct 57 ms 68116 KB Output is correct
30 Correct 67 ms 68116 KB Output is correct
31 Correct 57 ms 68116 KB Output is correct
32 Correct 56 ms 68116 KB Output is correct
33 Correct 57 ms 68116 KB Output is correct
34 Correct 59 ms 68116 KB Output is correct
35 Correct 58 ms 68116 KB Output is correct
36 Correct 57 ms 68116 KB Output is correct
37 Correct 58 ms 68116 KB Output is correct
38 Correct 56 ms 68116 KB Output is correct
39 Correct 107 ms 68116 KB Output is correct
40 Correct 59 ms 68116 KB Output is correct
41 Correct 57 ms 68116 KB Output is correct
42 Correct 59 ms 68116 KB Output is correct
43 Correct 59 ms 68116 KB Output is correct
44 Correct 58 ms 68116 KB Output is correct
45 Correct 61 ms 68116 KB Output is correct
46 Correct 89 ms 68252 KB Output is correct
47 Correct 73 ms 68412 KB Output is correct
48 Correct 71 ms 68488 KB Output is correct
49 Correct 72 ms 68804 KB Output is correct
50 Correct 66 ms 68876 KB Output is correct
51 Correct 65 ms 68876 KB Output is correct
52 Correct 66 ms 68892 KB Output is correct
53 Correct 74 ms 69036 KB Output is correct
54 Correct 68 ms 69076 KB Output is correct
55 Correct 68 ms 69076 KB Output is correct
56 Correct 70 ms 69076 KB Output is correct
57 Correct 70 ms 69076 KB Output is correct
58 Correct 74 ms 69100 KB Output is correct
59 Correct 74 ms 69112 KB Output is correct
60 Correct 75 ms 69216 KB Output is correct
61 Correct 69 ms 69272 KB Output is correct
62 Correct 142 ms 69336 KB Output is correct
63 Correct 68 ms 69396 KB Output is correct
64 Correct 71 ms 69396 KB Output is correct
65 Correct 71 ms 69528 KB Output is correct
66 Correct 71 ms 69528 KB Output is correct
67 Correct 71 ms 69528 KB Output is correct
68 Correct 67 ms 69724 KB Output is correct
69 Correct 66 ms 69756 KB Output is correct
70 Correct 66 ms 69776 KB Output is correct
71 Correct 67 ms 69796 KB Output is correct
72 Correct 69 ms 69796 KB Output is correct
73 Correct 71 ms 69796 KB Output is correct
74 Correct 67 ms 69804 KB Output is correct
75 Correct 68 ms 69836 KB Output is correct
76 Correct 67 ms 69888 KB Output is correct
77 Correct 71 ms 69932 KB Output is correct
78 Correct 72 ms 69980 KB Output is correct
79 Correct 68 ms 70012 KB Output is correct
80 Correct 67 ms 70012 KB Output is correct
81 Correct 89 ms 70076 KB Output is correct
82 Correct 69 ms 70168 KB Output is correct
83 Correct 74 ms 70168 KB Output is correct
84 Correct 67 ms 70220 KB Output is correct
85 Correct 68 ms 70220 KB Output is correct
86 Correct 71 ms 70220 KB Output is correct
87 Correct 82 ms 70828 KB Output is correct
88 Correct 132 ms 73024 KB Output is correct
89 Correct 384 ms 80568 KB Output is correct
90 Correct 373 ms 82940 KB Output is correct
91 Correct 360 ms 84760 KB Output is correct
92 Correct 166 ms 92872 KB Output is correct
93 Correct 162 ms 94968 KB Output is correct
94 Correct 184 ms 97064 KB Output is correct
95 Correct 189 ms 97064 KB Output is correct
96 Correct 197 ms 98512 KB Output is correct
97 Correct 192 ms 100740 KB Output is correct
98 Correct 200 ms 102716 KB Output is correct
99 Correct 285 ms 103624 KB Output is correct
100 Correct 365 ms 103624 KB Output is correct
101 Correct 424 ms 105336 KB Output is correct
102 Correct 445 ms 107432 KB Output is correct
103 Correct 435 ms 109548 KB Output is correct
104 Correct 182 ms 113592 KB Output is correct
105 Correct 184 ms 115696 KB Output is correct
106 Correct 187 ms 117900 KB Output is correct
107 Correct 324 ms 117900 KB Output is correct
108 Correct 382 ms 118064 KB Output is correct
109 Correct 374 ms 119768 KB Output is correct
110 Correct 154 ms 127472 KB Output is correct
111 Correct 177 ms 127472 KB Output is correct
112 Correct 181 ms 128204 KB Output is correct
113 Correct 167 ms 128464 KB Output is correct
114 Correct 336 ms 128464 KB Output is correct
115 Correct 436 ms 129884 KB Output is correct
116 Correct 171 ms 133200 KB Output is correct
117 Correct 180 ms 133748 KB Output is correct
118 Correct 187 ms 135172 KB Output is correct
119 Correct 190 ms 136724 KB Output is correct
120 Correct 172 ms 138788 KB Output is correct
121 Correct 183 ms 139896 KB Output is correct
122 Correct 186 ms 141356 KB Output is correct
123 Correct 192 ms 143648 KB Output is correct
124 Correct 201 ms 145200 KB Output is correct
125 Correct 193 ms 146624 KB Output is correct
126 Correct 179 ms 148820 KB Output is correct
127 Correct 186 ms 149948 KB Output is correct
128 Correct 210 ms 151112 KB Output is correct