oj.uz

Submission #409587

# Submission time Handle Problem Language Result Execution time Memory
409587 2021-05-21T05:54:59 Z urd05 Construction of Highway (JOI18_construction) C++14
16 / 100
 2000 ms 27784 KB 
#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 save[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) {
        while (sz<x) {
            sz*=2;
        }
        seg.resize(sz*2);
    }
    int sum(int l,int r,int node=1,int nodel=0,int noder=0) {
        if (node==1) {
            noder=sz-1;
        }
        if (r<nodel||l>noder) {
            return 0;
        }
        if (l<=nodel&&noder<=r) {
            return seg[node];
        }
        int mid=(nodel+noder)/2;
        return sum(l,r,node*2,nodel,mid)+sum(l,r,node*2+1,mid+1,noder);
    }
    void update(int i,int val) {
        i+=sz;
        seg[i]+=val;
        while (i>1) {
            i/=2;
            seg[i]=seg[i*2]+seg[i*2+1];
        }
    }
};

long long cntinv(vector<P> v) {
    vector<int> press;
    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();
        if (v[i].first!=0)
            ret+=1LL*v[i].second*st.sum(0,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;
            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==sum(ind[now],ind[now]+siz[now]-1).second) {
                    rec=nt;
                }
            }
            int deep=sum(ind[now],ind[now]+siz[now]-1).second;
            vec.push_back(P(arr[deep],depth[now]-depth[rec]+1));
            now=p[rec];
        }
        save[edge[i].second]=save[edge[i].first];
        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:21:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   21 |     for(int i=0;i<adj[v].size();i++) {
      |                 ~^~~~~~~~~~~~~~
construction.cpp: In function 'long long int cntinv(std::vector<std::pair<int, int> >)':
construction.cpp:93:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   93 |     for(int i=0;i<v.size();i++) {
      |                 ~^~~~~~~~~
construction.cpp:102:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  102 |     for(int i=0;i<v.size();i++) {
      |                 ~^~~~~~~~~
construction.cpp: In function 'int main()':
construction.cpp:112:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  112 |     scanf("%d",&n);
      |     ~~~~~^~~~~~~~~
construction.cpp:114:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  114 |         scanf("%d",&arr[i]);
      |         ~~~~~^~~~~~~~~~~~~~
construction.cpp:127:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  127 |         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 9292 KB Output is correct
3 Correct 5 ms 9292 KB Output is correct
4 Correct 6 ms 9292 KB Output is correct
5 Correct 8 ms 9420 KB Output is correct
6 Correct 7 ms 9420 KB Output is correct
7 Correct 8 ms 9420 KB Output is correct
8 Correct 7 ms 9452 KB Output is correct
9 Correct 7 ms 9544 KB Output is correct
10 Correct 7 ms 9452 KB Output is correct
11 Correct 8 ms 9440 KB Output is correct
12 Correct 7 ms 9420 KB Output is correct
13 Correct 8 ms 9420 KB Output is correct
14 Correct 8 ms 9420 KB Output is correct
15 Correct 9 ms 9420 KB Output is correct
16 Correct 10 ms 9428 KB Output is correct
17 Correct 10 ms 9324 KB Output is correct
18 Correct 10 ms 9420 KB Output is correct
19 Correct 8 ms 9420 KB Output is correct
20 Correct 8 ms 9420 KB Output is correct
21 Correct 8 ms 9420 KB Output is correct
22 Correct 8 ms 9420 KB Output is correct
23 Correct 7 ms 9420 KB Output is correct
24 Correct 8 ms 9420 KB Output is correct
25 Correct 8 ms 9420 KB Output is correct
26 Correct 7 ms 9444 KB Output is correct
27 Correct 8 ms 9444 KB Output is correct
28 Correct 8 ms 9420 KB Output is correct
29 Correct 8 ms 9320 KB Output is correct
30 Correct 10 ms 9424 KB Output is correct
31 Correct 10 ms 9416 KB Output is correct
32 Correct 8 ms 9316 KB Output is correct
33 Correct 8 ms 9428 KB Output is correct
34 Correct 7 ms 9420 KB Output is correct
35 Correct 9 ms 9424 KB Output is correct
36 Correct 7 ms 9324 KB Output is correct
37 Correct 7 ms 9316 KB Output is correct
38 Correct 8 ms 9324 KB Output is correct
39 Correct 7 ms 9420 KB Output is correct
40 Correct 7 ms 9420 KB Output is correct
41 Correct 7 ms 9428 KB Output is correct
42 Correct 7 ms 9420 KB Output is correct
43 Correct 8 ms 9424 KB Output is correct
44 Correct 7 ms 9320 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 9292 KB Output is correct
3 Correct 5 ms 9292 KB Output is correct
4 Correct 6 ms 9292 KB Output is correct
5 Correct 8 ms 9420 KB Output is correct
6 Correct 7 ms 9420 KB Output is correct
7 Correct 8 ms 9420 KB Output is correct
8 Correct 7 ms 9452 KB Output is correct
9 Correct 7 ms 9544 KB Output is correct
10 Correct 7 ms 9452 KB Output is correct
11 Correct 8 ms 9440 KB Output is correct
12 Correct 7 ms 9420 KB Output is correct
13 Correct 8 ms 9420 KB Output is correct
14 Correct 8 ms 9420 KB Output is correct
15 Correct 9 ms 9420 KB Output is correct
16 Correct 10 ms 9428 KB Output is correct
17 Correct 10 ms 9324 KB Output is correct
18 Correct 10 ms 9420 KB Output is correct
19 Correct 8 ms 9420 KB Output is correct
20 Correct 8 ms 9420 KB Output is correct
21 Correct 8 ms 9420 KB Output is correct
22 Correct 8 ms 9420 KB Output is correct
23 Correct 7 ms 9420 KB Output is correct
24 Correct 8 ms 9420 KB Output is correct
25 Correct 8 ms 9420 KB Output is correct
26 Correct 7 ms 9444 KB Output is correct
27 Correct 8 ms 9444 KB Output is correct
28 Correct 8 ms 9420 KB Output is correct
29 Correct 8 ms 9320 KB Output is correct
30 Correct 10 ms 9424 KB Output is correct
31 Correct 10 ms 9416 KB Output is correct
32 Correct 8 ms 9316 KB Output is correct
33 Correct 8 ms 9428 KB Output is correct
34 Correct 7 ms 9420 KB Output is correct
35 Correct 9 ms 9424 KB Output is correct
36 Correct 7 ms 9324 KB Output is correct
37 Correct 7 ms 9316 KB Output is correct
38 Correct 8 ms 9324 KB Output is correct
39 Correct 7 ms 9420 KB Output is correct
40 Correct 7 ms 9420 KB Output is correct
41 Correct 7 ms 9428 KB Output is correct
42 Correct 7 ms 9420 KB Output is correct
43 Correct 8 ms 9424 KB Output is correct
44 Correct 7 ms 9320 KB Output is correct
45 Correct 11 ms 9420 KB Output is correct
46 Correct 38 ms 9772 KB Output is correct
47 Correct 40 ms 9784 KB Output is correct
48 Correct 32 ms 9784 KB Output is correct
49 Correct 21 ms 9984 KB Output is correct
50 Correct 22 ms 10080 KB Output is correct
51 Correct 21 ms 10064 KB Output is correct
52 Correct 33 ms 9932 KB Output is correct
53 Correct 34 ms 9924 KB Output is correct
54 Correct 34 ms 9904 KB Output is correct
55 Correct 34 ms 9956 KB Output is correct
56 Correct 35 ms 9916 KB Output is correct
57 Correct 72 ms 9768 KB Output is correct
58 Correct 74 ms 9776 KB Output is correct
59 Correct 87 ms 9712 KB Output is correct
60 Correct 74 ms 9676 KB Output is correct
61 Correct 36 ms 9892 KB Output is correct
62 Correct 36 ms 9804 KB Output is correct
63 Correct 36 ms 9884 KB Output is correct
64 Correct 36 ms 9676 KB Output is correct
65 Correct 35 ms 9760 KB Output is correct
66 Correct 39 ms 9760 KB Output is correct
67 Correct 34 ms 9768 KB Output is correct
68 Correct 21 ms 9972 KB Output is correct
69 Correct 34 ms 9952 KB Output is correct
70 Correct 33 ms 9896 KB Output is correct
71 Correct 34 ms 9856 KB Output is correct
72 Correct 72 ms 9768 KB Output is correct
73 Correct 73 ms 9748 KB Output is correct
74 Correct 36 ms 9920 KB Output is correct
75 Correct 33 ms 9840 KB Output is correct
76 Correct 30 ms 9828 KB Output is correct
77 Correct 29 ms 9772 KB Output is correct
78 Correct 31 ms 9804 KB Output is correct
79 Correct 29 ms 9676 KB Output is correct
80 Correct 28 ms 9740 KB Output is correct
81 Correct 34 ms 9840 KB Output is correct
82 Correct 35 ms 9792 KB Output is correct
83 Correct 31 ms 9776 KB Output is correct
84 Correct 33 ms 9804 KB Output is correct
85 Correct 33 ms 9808 KB Output is correct
86 Correct 31 ms 9784 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 9292 KB Output is correct
3 Correct 5 ms 9292 KB Output is correct
4 Correct 6 ms 9292 KB Output is correct
5 Correct 8 ms 9420 KB Output is correct
6 Correct 7 ms 9420 KB Output is correct
7 Correct 8 ms 9420 KB Output is correct
8 Correct 7 ms 9452 KB Output is correct
9 Correct 7 ms 9544 KB Output is correct
10 Correct 7 ms 9452 KB Output is correct
11 Correct 8 ms 9440 KB Output is correct
12 Correct 7 ms 9420 KB Output is correct
13 Correct 8 ms 9420 KB Output is correct
14 Correct 8 ms 9420 KB Output is correct
15 Correct 9 ms 9420 KB Output is correct
16 Correct 10 ms 9428 KB Output is correct
17 Correct 10 ms 9324 KB Output is correct
18 Correct 10 ms 9420 KB Output is correct
19 Correct 8 ms 9420 KB Output is correct
20 Correct 8 ms 9420 KB Output is correct
21 Correct 8 ms 9420 KB Output is correct
22 Correct 8 ms 9420 KB Output is correct
23 Correct 7 ms 9420 KB Output is correct
24 Correct 8 ms 9420 KB Output is correct
25 Correct 8 ms 9420 KB Output is correct
26 Correct 7 ms 9444 KB Output is correct
27 Correct 8 ms 9444 KB Output is correct
28 Correct 8 ms 9420 KB Output is correct
29 Correct 8 ms 9320 KB Output is correct
30 Correct 10 ms 9424 KB Output is correct
31 Correct 10 ms 9416 KB Output is correct
32 Correct 8 ms 9316 KB Output is correct
33 Correct 8 ms 9428 KB Output is correct
34 Correct 7 ms 9420 KB Output is correct
35 Correct 9 ms 9424 KB Output is correct
36 Correct 7 ms 9324 KB Output is correct
37 Correct 7 ms 9316 KB Output is correct
38 Correct 8 ms 9324 KB Output is correct
39 Correct 7 ms 9420 KB Output is correct
40 Correct 7 ms 9420 KB Output is correct
41 Correct 7 ms 9428 KB Output is correct
42 Correct 7 ms 9420 KB Output is correct
43 Correct 8 ms 9424 KB Output is correct
44 Correct 7 ms 9320 KB Output is correct
45 Correct 11 ms 9420 KB Output is correct
46 Correct 38 ms 9772 KB Output is correct
47 Correct 40 ms 9784 KB Output is correct
48 Correct 32 ms 9784 KB Output is correct
49 Correct 21 ms 9984 KB Output is correct
50 Correct 22 ms 10080 KB Output is correct
51 Correct 21 ms 10064 KB Output is correct
52 Correct 33 ms 9932 KB Output is correct
53 Correct 34 ms 9924 KB Output is correct
54 Correct 34 ms 9904 KB Output is correct
55 Correct 34 ms 9956 KB Output is correct
56 Correct 35 ms 9916 KB Output is correct
57 Correct 72 ms 9768 KB Output is correct
58 Correct 74 ms 9776 KB Output is correct
59 Correct 87 ms 9712 KB Output is correct
60 Correct 74 ms 9676 KB Output is correct
61 Correct 36 ms 9892 KB Output is correct
62 Correct 36 ms 9804 KB Output is correct
63 Correct 36 ms 9884 KB Output is correct
64 Correct 36 ms 9676 KB Output is correct
65 Correct 35 ms 9760 KB Output is correct
66 Correct 39 ms 9760 KB Output is correct
67 Correct 34 ms 9768 KB Output is correct
68 Correct 21 ms 9972 KB Output is correct
69 Correct 34 ms 9952 KB Output is correct
70 Correct 33 ms 9896 KB Output is correct
71 Correct 34 ms 9856 KB Output is correct
72 Correct 72 ms 9768 KB Output is correct
73 Correct 73 ms 9748 KB Output is correct
74 Correct 36 ms 9920 KB Output is correct
75 Correct 33 ms 9840 KB Output is correct
76 Correct 30 ms 9828 KB Output is correct
77 Correct 29 ms 9772 KB Output is correct
78 Correct 31 ms 9804 KB Output is correct
79 Correct 29 ms 9676 KB Output is correct
80 Correct 28 ms 9740 KB Output is correct
81 Correct 34 ms 9840 KB Output is correct
82 Correct 35 ms 9792 KB Output is correct
83 Correct 31 ms 9776 KB Output is correct
84 Correct 33 ms 9804 KB Output is correct
85 Correct 33 ms 9808 KB Output is correct
86 Correct 31 ms 9784 KB Output is correct
87 Correct 96 ms 10376 KB Output is correct
88 Correct 314 ms 12484 KB Output is correct
89 Correct 1482 ms 20296 KB Output is correct
90 Correct 1454 ms 20176 KB Output is correct
91 Correct 1514 ms 20188 KB Output is correct
92 Correct 656 ms 27704 KB Output is correct
93 Correct 687 ms 27784 KB Output is correct
94 Correct 676 ms 27684 KB Output is correct
95 Correct 1223 ms 25180 KB Output is correct
96 Correct 1253 ms 25572 KB Output is correct
97 Correct 1238 ms 25728 KB Output is correct
98 Correct 1254 ms 25608 KB Output is correct
99 Correct 1276 ms 23912 KB Output is correct
100 Execution timed out 2090 ms 19648 KB Time limit exceeded
101 Halted 0 ms 0 KB -