oj.uz

Submission #409593

# Submission time Handle Problem Language Result Execution time Memory
409593 2021-05-21T06:22:14 Z urd05 Construction of Highway (JOI18_construction) C++14
16 / 100
 2000 ms 25196 KB 
# pragma GCC optimize ("O3")
# pragma GCC optimize ("Ofast")
# pragma GCC optimize ("unroll-loops")
# pragma GCC target("sse,sse2,sse3,ssse3,sse4,avx,avx2")
#include <bits/stdc++.h>
using namespace std;

int n;
int arr[100000];
vector<int> adj[100000];
typedef pair<int,int> P;
P edge[100000];
int p[100000];
int ind[100000];
int siz[100000];
int f=0;
int depth[100000];
int par[100000][17];

void dfs(int v,int prev) {
    ind[v]=f++;
    siz[v]=1;
    p[v]=prev;
    for(int i=0;i<adj[v].size();i++) {
        int nt=adj[v][i];
        if (nt==prev) {
            continue;
        }
        depth[nt]=depth[v]+1;
        dfs(nt,v);
        siz[v]+=siz[nt];
    }
}

const int sz=131072;
P seg[sz*2];

P pmax(P a,P b) {
    return a<b?b:a;
}

P sum(int l,int r,int node=1,int nodel=0,int noder=sz-1) {
    if (r<nodel||l>noder) {
        return P(0,0);
    }
    if (l<=nodel&&noder<=r) {
        return seg[node];
    }
    int mid=(nodel+noder)/2;
    return pmax(sum(l,r,node*2,nodel,mid),sum(l,r,node*2+1,mid+1,noder));
}

void update(int i,P val) {
    i+=sz;
    seg[i]=val;
    while (i>1) {
        i/=2;
        seg[i]=pmax(seg[i*2],seg[i*2+1]);
    }
}

struct SegmentTree {
    vector<int> seg;
    int sz=1;
    void init(int x) {
        seg.resize(x+1);
        sz=x;
    }
    int sum(int i) {
        int ret=0;
        while (i>0) {
            assert(i<seg.size());
            ret+=seg[i];
            i-=(i&-i);
        }
        return ret;
    }
    void update(int i,int val) {
        while (i<=sz) {
            assert(i<seg.size());
            seg[i]+=val;
            i+=(i&-i);
        }
    }
};

long long cntinv(vector<P> v) {
    vector<int> press;
    press.push_back(-1);
    for(int i=0;i<v.size();i++) {
        //printf("%d %d\n",v[i].first,v[i].second);
        press.push_back(v[i].first);
    }
    sort(press.begin(),press.end());
    press.erase(unique(press.begin(),press.end()),press.end());
    SegmentTree st;
    st.init(press.size());
    long long ret=0;
    for(int i=0;i<v.size();i++) {
        v[i].first=lower_bound(press.begin(),press.end(),v[i].first)-press.begin();
        assert(v[i].first!=0);
        ret+=1LL*v[i].second*st.sum(v[i].first-1);
        st.update(v[i].first,v[i].second);
    }
    return ret;
}

int main(void) {
    scanf("%d",&n);
    for(int i=0;i<n;i++) {
        scanf("%d",&arr[i]);
    }
    vector<int> press;
    for(int i=0;i<n;i++) {
        press.push_back(arr[i]);
    }
    sort(press.begin(),press.end());
    press.erase(unique(press.begin(),press.end()),press.end());
    for(int i=0;i<n;i++) {
        arr[i]=lower_bound(press.begin(),press.end(),arr[i])-press.begin();
    }
    for(int i=1;i<n;i++) {
        int u,v;
        scanf("%d %d",&u,&v);
        u--;
        v--;
        edge[i]=P(u,v);
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    dfs(0,-1);
    memset(par,-1,sizeof(par));
    for(int i=0;i<n;i++) {
        par[i][0]=p[i];
    }
    for(int j=1;j<17;j++) {
        for(int i=0;i<n;i++) {
            if (par[i][j-1]!=-1) {
                par[i][j]=par[par[i][j-1]][j-1];
            }
        }
    }
    for(int i=1;i<n;i++) {
        int now=edge[i].first;
        vector<P> vec;
        while (now!=-1) {
            int rec=now;
            int deep=sum(ind[now],ind[now]+siz[now]-1).second;
            for(int j=16;j>=0;j--) {
                int nt=par[rec][j];
                if (nt==-1) {
                    continue;
                }
                if (sum(ind[nt],ind[nt]+siz[nt]-1).second==deep) {
                    rec=nt;
                }
            }
            vec.push_back(P(arr[deep],depth[now]-depth[rec]+1));
            now=p[rec];
        }
        update(ind[edge[i].second],P(i,edge[i].second));
        printf("%lld\n",cntinv(vec));
    }
}

Compilation message

construction.cpp: In function 'void dfs(int, int)':
construction.cpp:24:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   24 |     for(int i=0;i<adj[v].size();i++) {
      |                 ~^~~~~~~~~~~~~~
In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from construction.cpp:5:
construction.cpp: In member function 'int SegmentTree::sum(int)':
construction.cpp:72:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   72 |             assert(i<seg.size());
      |                    ~^~~~~~~~~~~
construction.cpp: In member function 'void SegmentTree::update(int, int)':
construction.cpp:80:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   80 |             assert(i<seg.size());
      |                    ~^~~~~~~~~~~
construction.cpp: In function 'long long int cntinv(std::vector<std::pair<int, int> >)':
construction.cpp:90:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   90 |     for(int i=0;i<v.size();i++) {
      |                 ~^~~~~~~~~
construction.cpp:99:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |     for(int i=0;i<v.size();i++) {
      |                 ~^~~~~~~~~
construction.cpp: In function 'int main()':
construction.cpp:109:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  109 |     scanf("%d",&n);
      |     ~~~~~^~~~~~~~~
construction.cpp:111:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  111 |         scanf("%d",&arr[i]);
      |         ~~~~~^~~~~~~~~~~~~~
construction.cpp:124:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  124 |         scanf("%d %d",&u,&v);
      |         ~~~~~^~~~~~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9292 KB Output is correct
2 Correct 5 ms 9372 KB Output is correct
3 Correct 5 ms 9292 KB Output is correct
4 Correct 6 ms 9292 KB Output is correct
5 Correct 7 ms 9404 KB Output is correct
6 Correct 6 ms 9292 KB Output is correct
7 Correct 7 ms 9292 KB Output is correct
8 Correct 6 ms 9420 KB Output is correct
9 Correct 7 ms 9420 KB Output is correct
10 Correct 8 ms 9420 KB Output is correct
11 Correct 6 ms 9420 KB Output is correct
12 Correct 6 ms 9420 KB Output is correct
13 Correct 7 ms 9420 KB Output is correct
14 Correct 6 ms 9292 KB Output is correct
15 Correct 7 ms 9288 KB Output is correct
16 Correct 8 ms 9292 KB Output is correct
17 Correct 8 ms 9292 KB Output is correct
18 Correct 8 ms 9292 KB Output is correct
19 Correct 7 ms 9292 KB Output is correct
20 Correct 7 ms 9528 KB Output is correct
21 Correct 7 ms 9292 KB Output is correct
22 Correct 7 ms 9412 KB Output is correct
23 Correct 6 ms 9292 KB Output is correct
24 Correct 7 ms 9292 KB Output is correct
25 Correct 8 ms 9336 KB Output is correct
26 Correct 8 ms 9436 KB Output is correct
27 Correct 7 ms 9420 KB Output is correct
28 Correct 6 ms 9292 KB Output is correct
29 Correct 6 ms 9292 KB Output is correct
30 Correct 8 ms 9292 KB Output is correct
31 Correct 8 ms 9292 KB Output is correct
32 Correct 7 ms 9324 KB Output is correct
33 Correct 6 ms 9292 KB Output is correct
34 Correct 6 ms 9292 KB Output is correct
35 Correct 6 ms 9292 KB Output is correct
36 Correct 7 ms 9292 KB Output is correct
37 Correct 6 ms 9292 KB Output is correct
38 Correct 6 ms 9292 KB Output is correct
39 Correct 7 ms 9292 KB Output is correct
40 Correct 7 ms 9292 KB Output is correct
41 Correct 6 ms 9292 KB Output is correct
42 Correct 7 ms 9292 KB Output is correct
43 Correct 7 ms 9292 KB Output is correct
44 Correct 6 ms 9292 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9292 KB Output is correct
2 Correct 5 ms 9372 KB Output is correct
3 Correct 5 ms 9292 KB Output is correct
4 Correct 6 ms 9292 KB Output is correct
5 Correct 7 ms 9404 KB Output is correct
6 Correct 6 ms 9292 KB Output is correct
7 Correct 7 ms 9292 KB Output is correct
8 Correct 6 ms 9420 KB Output is correct
9 Correct 7 ms 9420 KB Output is correct
10 Correct 8 ms 9420 KB Output is correct
11 Correct 6 ms 9420 KB Output is correct
12 Correct 6 ms 9420 KB Output is correct
13 Correct 7 ms 9420 KB Output is correct
14 Correct 6 ms 9292 KB Output is correct
15 Correct 7 ms 9288 KB Output is correct
16 Correct 8 ms 9292 KB Output is correct
17 Correct 8 ms 9292 KB Output is correct
18 Correct 8 ms 9292 KB Output is correct
19 Correct 7 ms 9292 KB Output is correct
20 Correct 7 ms 9528 KB Output is correct
21 Correct 7 ms 9292 KB Output is correct
22 Correct 7 ms 9412 KB Output is correct
23 Correct 6 ms 9292 KB Output is correct
24 Correct 7 ms 9292 KB Output is correct
25 Correct 8 ms 9336 KB Output is correct
26 Correct 8 ms 9436 KB Output is correct
27 Correct 7 ms 9420 KB Output is correct
28 Correct 6 ms 9292 KB Output is correct
29 Correct 6 ms 9292 KB Output is correct
30 Correct 8 ms 9292 KB Output is correct
31 Correct 8 ms 9292 KB Output is correct
32 Correct 7 ms 9324 KB Output is correct
33 Correct 6 ms 9292 KB Output is correct
34 Correct 6 ms 9292 KB Output is correct
35 Correct 6 ms 9292 KB Output is correct
36 Correct 7 ms 9292 KB Output is correct
37 Correct 6 ms 9292 KB Output is correct
38 Correct 6 ms 9292 KB Output is correct
39 Correct 7 ms 9292 KB Output is correct
40 Correct 7 ms 9292 KB Output is correct
41 Correct 6 ms 9292 KB Output is correct
42 Correct 7 ms 9292 KB Output is correct
43 Correct 7 ms 9292 KB Output is correct
44 Correct 6 ms 9292 KB Output is correct
45 Correct 9 ms 9404 KB Output is correct
46 Correct 23 ms 9688 KB Output is correct
47 Correct 24 ms 9680 KB Output is correct
48 Correct 22 ms 9692 KB Output is correct
49 Correct 15 ms 9880 KB Output is correct
50 Correct 15 ms 9932 KB Output is correct
51 Correct 15 ms 10044 KB Output is correct
52 Correct 20 ms 9800 KB Output is correct
53 Correct 20 ms 9804 KB Output is correct
54 Correct 20 ms 9860 KB Output is correct
55 Correct 20 ms 9844 KB Output is correct
56 Correct 21 ms 9832 KB Output is correct
57 Correct 39 ms 9684 KB Output is correct
58 Correct 40 ms 9684 KB Output is correct
59 Correct 41 ms 9668 KB Output is correct
60 Correct 43 ms 9676 KB Output is correct
61 Correct 22 ms 9736 KB Output is correct
62 Correct 22 ms 9844 KB Output is correct
63 Correct 22 ms 9836 KB Output is correct
64 Correct 23 ms 9688 KB Output is correct
65 Correct 23 ms 9676 KB Output is correct
66 Correct 24 ms 9684 KB Output is correct
67 Correct 22 ms 9688 KB Output is correct
68 Correct 14 ms 9932 KB Output is correct
69 Correct 20 ms 9816 KB Output is correct
70 Correct 20 ms 9832 KB Output is correct
71 Correct 20 ms 9820 KB Output is correct
72 Correct 40 ms 9676 KB Output is correct
73 Correct 40 ms 9676 KB Output is correct
74 Correct 22 ms 9832 KB Output is correct
75 Correct 20 ms 9676 KB Output is correct
76 Correct 18 ms 9676 KB Output is correct
77 Correct 20 ms 9724 KB Output is correct
78 Correct 19 ms 9764 KB Output is correct
79 Correct 19 ms 9696 KB Output is correct
80 Correct 19 ms 9716 KB Output is correct
81 Correct 23 ms 9676 KB Output is correct
82 Correct 21 ms 9736 KB Output is correct
83 Correct 20 ms 9676 KB Output is correct
84 Correct 21 ms 9720 KB Output is correct
85 Correct 21 ms 9736 KB Output is correct
86 Correct 20 ms 9720 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9292 KB Output is correct
2 Correct 5 ms 9372 KB Output is correct
3 Correct 5 ms 9292 KB Output is correct
4 Correct 6 ms 9292 KB Output is correct
5 Correct 7 ms 9404 KB Output is correct
6 Correct 6 ms 9292 KB Output is correct
7 Correct 7 ms 9292 KB Output is correct
8 Correct 6 ms 9420 KB Output is correct
9 Correct 7 ms 9420 KB Output is correct
10 Correct 8 ms 9420 KB Output is correct
11 Correct 6 ms 9420 KB Output is correct
12 Correct 6 ms 9420 KB Output is correct
13 Correct 7 ms 9420 KB Output is correct
14 Correct 6 ms 9292 KB Output is correct
15 Correct 7 ms 9288 KB Output is correct
16 Correct 8 ms 9292 KB Output is correct
17 Correct 8 ms 9292 KB Output is correct
18 Correct 8 ms 9292 KB Output is correct
19 Correct 7 ms 9292 KB Output is correct
20 Correct 7 ms 9528 KB Output is correct
21 Correct 7 ms 9292 KB Output is correct
22 Correct 7 ms 9412 KB Output is correct
23 Correct 6 ms 9292 KB Output is correct
24 Correct 7 ms 9292 KB Output is correct
25 Correct 8 ms 9336 KB Output is correct
26 Correct 8 ms 9436 KB Output is correct
27 Correct 7 ms 9420 KB Output is correct
28 Correct 6 ms 9292 KB Output is correct
29 Correct 6 ms 9292 KB Output is correct
30 Correct 8 ms 9292 KB Output is correct
31 Correct 8 ms 9292 KB Output is correct
32 Correct 7 ms 9324 KB Output is correct
33 Correct 6 ms 9292 KB Output is correct
34 Correct 6 ms 9292 KB Output is correct
35 Correct 6 ms 9292 KB Output is correct
36 Correct 7 ms 9292 KB Output is correct
37 Correct 6 ms 9292 KB Output is correct
38 Correct 6 ms 9292 KB Output is correct
39 Correct 7 ms 9292 KB Output is correct
40 Correct 7 ms 9292 KB Output is correct
41 Correct 6 ms 9292 KB Output is correct
42 Correct 7 ms 9292 KB Output is correct
43 Correct 7 ms 9292 KB Output is correct
44 Correct 6 ms 9292 KB Output is correct
45 Correct 9 ms 9404 KB Output is correct
46 Correct 23 ms 9688 KB Output is correct
47 Correct 24 ms 9680 KB Output is correct
48 Correct 22 ms 9692 KB Output is correct
49 Correct 15 ms 9880 KB Output is correct
50 Correct 15 ms 9932 KB Output is correct
51 Correct 15 ms 10044 KB Output is correct
52 Correct 20 ms 9800 KB Output is correct
53 Correct 20 ms 9804 KB Output is correct
54 Correct 20 ms 9860 KB Output is correct
55 Correct 20 ms 9844 KB Output is correct
56 Correct 21 ms 9832 KB Output is correct
57 Correct 39 ms 9684 KB Output is correct
58 Correct 40 ms 9684 KB Output is correct
59 Correct 41 ms 9668 KB Output is correct
60 Correct 43 ms 9676 KB Output is correct
61 Correct 22 ms 9736 KB Output is correct
62 Correct 22 ms 9844 KB Output is correct
63 Correct 22 ms 9836 KB Output is correct
64 Correct 23 ms 9688 KB Output is correct
65 Correct 23 ms 9676 KB Output is correct
66 Correct 24 ms 9684 KB Output is correct
67 Correct 22 ms 9688 KB Output is correct
68 Correct 14 ms 9932 KB Output is correct
69 Correct 20 ms 9816 KB Output is correct
70 Correct 20 ms 9832 KB Output is correct
71 Correct 20 ms 9820 KB Output is correct
72 Correct 40 ms 9676 KB Output is correct
73 Correct 40 ms 9676 KB Output is correct
74 Correct 22 ms 9832 KB Output is correct
75 Correct 20 ms 9676 KB Output is correct
76 Correct 18 ms 9676 KB Output is correct
77 Correct 20 ms 9724 KB Output is correct
78 Correct 19 ms 9764 KB Output is correct
79 Correct 19 ms 9696 KB Output is correct
80 Correct 19 ms 9716 KB Output is correct
81 Correct 23 ms 9676 KB Output is correct
82 Correct 21 ms 9736 KB Output is correct
83 Correct 20 ms 9676 KB Output is correct
84 Correct 21 ms 9720 KB Output is correct
85 Correct 21 ms 9736 KB Output is correct
86 Correct 20 ms 9720 KB Output is correct
87 Correct 58 ms 10164 KB Output is correct
88 Correct 200 ms 11736 KB Output is correct
89 Correct 899 ms 17584 KB Output is correct
90 Correct 878 ms 17492 KB Output is correct
91 Correct 896 ms 17668 KB Output is correct
92 Correct 401 ms 25160 KB Output is correct
93 Correct 394 ms 25048 KB Output is correct
94 Correct 386 ms 25196 KB Output is correct
95 Correct 628 ms 22440 KB Output is correct
96 Correct 649 ms 22428 KB Output is correct
97 Correct 638 ms 22476 KB Output is correct
98 Correct 647 ms 22620 KB Output is correct
99 Correct 634 ms 21496 KB Output is correct
100 Execution timed out 2021 ms 17412 KB Time limit exceeded
101 Halted 0 ms 0 KB -