oj.uz

Submission #740565

# Submission time Handle Problem Language Result Execution time Memory
740565 2023-05-12T17:27:31 Z victor_gao Hard route (IZhO17_road) C++17
52 / 100
 1084 ms 262144 KB 
#pragma GCC optimize("Ofast,unroll-loops,O3")
//#pragma GCC optimize("avx,avx2,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,fma,tune=native")
#include<bits/stdc++.h>
//#include<bits/extc++.h>
//#pragma pack(1)
#define fast ios::sync_with_stdio(0); cin.tie(0);
#define pii pair<int,int>
#define x first
#define y second
#define N 500005
using namespace std;
//using namespace __gnu_pbds;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
//typedef tree<int, null_type,less_equal<int>, rb_tree_tag,tree_order_statistics_node_update> order_multiset;
//typedef tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update> order_set;
int n,fa[N];
long long ans=-1,cnt=0,a=0,b=0;
pii dp[N],dp1[N];
vector<int>g[N];
map<int,int>have[N],son[N];
void dfs(int p,int lp){
    fa[p]=lp; dp[p]={0,0};
    if (g[p].size()==1){
        dp[p].y=1;
        return;
    }
    for (auto i:g[p]){
        if (i!=lp){
            dfs(i,p);
            if (dp[p].x==dp[i].x+1)
                dp[p].y+=dp[i].y;
            else dp[p]=max(dp[p],pii(dp[i].x+1,dp[i].y));
        }
    }
}
void dfs1(int p,int lp,pii val){
    dp1[p]={val.x+1,val.y};
    pii mx1=val,mx2={-1,0};
    for (auto i:g[p]){
        if (i!=lp){
            if (mx1.x==dp[i].x) mx1.y+=dp[i].y;
            else if (mx2.x==dp[i].x) mx2.y+=dp[i].y;
            else mx2=max(mx2,dp[i]);
            if (mx1<mx2) swap(mx1,mx2);
        }
    }
    mx1.x++; mx2.x++;
    for (auto i:g[p]){
        if (i!=lp){
            if (dp[i].x==mx1.x-1&&dp[i].y==mx1.y)
                dfs1(i,p,mx2);
            else if (dp[i].x==mx1.x-1)
                dfs1(i,p,{mx1.x,mx1.y-dp[i].y});
            else dfs1(i,p,mx1);
        }
    }
}
void relax(int x,int y){
    swap(x,y);
    if ((long long)x*y>ans){
        ans=x*y;
        a=x; b=y;
    }
}
void solve(){
    for (int j=1;j<=n;j++){
        vector<int>dep;
        for (auto i:g[j]){
            if (i!=fa[j])
                dep.push_back(dp[i].x+1);
        }
        if (dp1[j].y) dep.push_back(dp1[j].x);
        sort(dep.begin(),dep.end());
        if (dep.size()>2){
            int b1=dep.back(),b2=dep[dep.size()-2],b3=dep[dep.size()-3];
            for (int i=0;i<(int)(dep.size())-2;i++)
                relax(dep[i],(b2+b1));
            relax(b2,(b1+b3)); relax(b1,(b2+b3));
        }
    }
}
void dfs2(int p,int lp){
    //if (g[p].size()==1) return;
    for (auto i:g[p]){
        have[p][dp[i].x+1]+=dp[i].y;
        son[p][dp[i].x+1]++;
    }
    for (auto i:g[p]){
        auto [d,c]=dp[i]; d++;
        pii tmp=dp[p];
        have[p][d]-=c; son[p][d]--;
        int have_find=0;
        if (have[p].count(a-d)&&have[p][a-d]){
            son[p][a-d]--;
            if (son[p].count(b)&&son[p][b])
                cnt=(cnt+(long long)c*have[p][a-d]),have_find=1;
            son[p][a-d]++;
        }
        if (have[p].count(b-d)&&have[p][b-d]){
            son[p][b-d]--;
            if (son[p].count(a)&&son[p][a])
                cnt=(cnt+(long long)c*have[p][b-d]),have_find=1;
            son[p][b-d]++;
        }
        if (!have_find){
            if (have[p].count(dp1[i].x-1))
                dp[p]={dp1[i].x-1,have[p][dp1[i].x-1]};
            else dp[p]={dp1[i].x-1,0};
        }
        if (i!=lp)
            dfs2(i,p);
        dp[p]=tmp;
        have[p][d]+=c; son[p][d]++;
    }
}
signed main(){
    fast
    cin>>n;
    for (int i=1;i<n;i++){
        int a,b; cin>>a>>b;
        g[a].push_back(b);
        g[b].push_back(a);
    }
    int root=0;
    for (int i=1;i<=n;i++){
        if (g[i].size()>1){
            root=i;
            break;
        }
    }
    dfs(root,0);
    dfs1(root,0,pii(-1,0));
    solve();
    dfs2(root,0);
    if (a==b) cnt/=2;
    if (ans<=0) cout<<0<<' '<<1<<'\n';
    else cout<<ans<<' '<<cnt/2<<'\n';
}

Subtask #1
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 59052 KB Output is correct
2 Correct 29 ms 59024 KB Output is correct
3 Correct 36 ms 59004 KB Output is correct
4 Correct 32 ms 58968 KB Output is correct
5 Correct 31 ms 59024 KB Output is correct
6 Correct 38 ms 58940 KB Output is correct
7 Correct 30 ms 58956 KB Output is correct
8 Correct 29 ms 59080 KB Output is correct
9 Correct 31 ms 59076 KB Output is correct
10 Correct 31 ms 58964 KB Output is correct
11 Correct 36 ms 59008 KB Output is correct
12 Correct 38 ms 58964 KB Output is correct
13 Correct 31 ms 58964 KB Output is correct
14 Correct 36 ms 59072 KB Output is correct
15 Correct 37 ms 59016 KB Output is correct
16 Correct 31 ms 58964 KB Output is correct
17 Correct 30 ms 59016 KB Output is correct
18 Correct 35 ms 59000 KB Output is correct
19 Correct 35 ms 59040 KB Output is correct
20 Correct 32 ms 59044 KB Output is correct
21 Correct 30 ms 58964 KB Output is correct
22 Correct 34 ms 59060 KB Output is correct
23 Correct 38 ms 59044 KB Output is correct
24 Correct 30 ms 59020 KB Output is correct

Subtask #2
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 59052 KB Output is correct
2 Correct 29 ms 59024 KB Output is correct
3 Correct 36 ms 59004 KB Output is correct
4 Correct 32 ms 58968 KB Output is correct
5 Correct 31 ms 59024 KB Output is correct
6 Correct 38 ms 58940 KB Output is correct
7 Correct 30 ms 58956 KB Output is correct
8 Correct 29 ms 59080 KB Output is correct
9 Correct 31 ms 59076 KB Output is correct
10 Correct 31 ms 58964 KB Output is correct
11 Correct 36 ms 59008 KB Output is correct
12 Correct 38 ms 58964 KB Output is correct
13 Correct 31 ms 58964 KB Output is correct
14 Correct 36 ms 59072 KB Output is correct
15 Correct 37 ms 59016 KB Output is correct
16 Correct 31 ms 58964 KB Output is correct
17 Correct 30 ms 59016 KB Output is correct
18 Correct 35 ms 59000 KB Output is correct
19 Correct 35 ms 59040 KB Output is correct
20 Correct 32 ms 59044 KB Output is correct
21 Correct 30 ms 58964 KB Output is correct
22 Correct 34 ms 59060 KB Output is correct
23 Correct 38 ms 59044 KB Output is correct
24 Correct 30 ms 59020 KB Output is correct
25 Correct 34 ms 60456 KB Output is correct
26 Correct 36 ms 60584 KB Output is correct
27 Correct 37 ms 60364 KB Output is correct
28 Correct 34 ms 60660 KB Output is correct
29 Correct 33 ms 60464 KB Output is correct
30 Correct 34 ms 60628 KB Output is correct
31 Correct 35 ms 60548 KB Output is correct
32 Correct 36 ms 60500 KB Output is correct
33 Correct 37 ms 60572 KB Output is correct
34 Correct 45 ms 60648 KB Output is correct
35 Correct 41 ms 60648 KB Output is correct
36 Correct 34 ms 60596 KB Output is correct
37 Correct 35 ms 60740 KB Output is correct
38 Correct 35 ms 61132 KB Output is correct
39 Correct 39 ms 60532 KB Output is correct
40 Correct 34 ms 60372 KB Output is correct
41 Correct 36 ms 60236 KB Output is correct
42 Correct 44 ms 60176 KB Output is correct
43 Correct 36 ms 60100 KB Output is correct
44 Correct 36 ms 60080 KB Output is correct
45 Correct 33 ms 60056 KB Output is correct
46 Correct 34 ms 59820 KB Output is correct
47 Correct 35 ms 59912 KB Output is correct
48 Correct 34 ms 59796 KB Output is correct

Subtask #3
0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 30 ms 59052 KB Output is correct
2 Correct 29 ms 59024 KB Output is correct
3 Correct 36 ms 59004 KB Output is correct
4 Correct 32 ms 58968 KB Output is correct
5 Correct 31 ms 59024 KB Output is correct
6 Correct 38 ms 58940 KB Output is correct
7 Correct 30 ms 58956 KB Output is correct
8 Correct 29 ms 59080 KB Output is correct
9 Correct 31 ms 59076 KB Output is correct
10 Correct 31 ms 58964 KB Output is correct
11 Correct 36 ms 59008 KB Output is correct
12 Correct 38 ms 58964 KB Output is correct
13 Correct 31 ms 58964 KB Output is correct
14 Correct 36 ms 59072 KB Output is correct
15 Correct 37 ms 59016 KB Output is correct
16 Correct 31 ms 58964 KB Output is correct
17 Correct 30 ms 59016 KB Output is correct
18 Correct 35 ms 59000 KB Output is correct
19 Correct 35 ms 59040 KB Output is correct
20 Correct 32 ms 59044 KB Output is correct
21 Correct 30 ms 58964 KB Output is correct
22 Correct 34 ms 59060 KB Output is correct
23 Correct 38 ms 59044 KB Output is correct
24 Correct 30 ms 59020 KB Output is correct
25 Correct 34 ms 60456 KB Output is correct
26 Correct 36 ms 60584 KB Output is correct
27 Correct 37 ms 60364 KB Output is correct
28 Correct 34 ms 60660 KB Output is correct
29 Correct 33 ms 60464 KB Output is correct
30 Correct 34 ms 60628 KB Output is correct
31 Correct 35 ms 60548 KB Output is correct
32 Correct 36 ms 60500 KB Output is correct
33 Correct 37 ms 60572 KB Output is correct
34 Correct 45 ms 60648 KB Output is correct
35 Correct 41 ms 60648 KB Output is correct
36 Correct 34 ms 60596 KB Output is correct
37 Correct 35 ms 60740 KB Output is correct
38 Correct 35 ms 61132 KB Output is correct
39 Correct 39 ms 60532 KB Output is correct
40 Correct 34 ms 60372 KB Output is correct
41 Correct 36 ms 60236 KB Output is correct
42 Correct 44 ms 60176 KB Output is correct
43 Correct 36 ms 60100 KB Output is correct
44 Correct 36 ms 60080 KB Output is correct
45 Correct 33 ms 60056 KB Output is correct
46 Correct 34 ms 59820 KB Output is correct
47 Correct 35 ms 59912 KB Output is correct
48 Correct 34 ms 59796 KB Output is correct
49 Correct 1038 ms 208588 KB Output is correct
50 Correct 1056 ms 215236 KB Output is correct
51 Correct 1040 ms 220920 KB Output is correct
52 Correct 1025 ms 200900 KB Output is correct
53 Correct 1060 ms 225044 KB Output is correct
54 Correct 1016 ms 221528 KB Output is correct
55 Correct 994 ms 210948 KB Output is correct
56 Correct 984 ms 202024 KB Output is correct
57 Correct 1026 ms 229732 KB Output is correct
58 Correct 1044 ms 222436 KB Output is correct
59 Correct 1020 ms 222300 KB Output is correct
60 Correct 1041 ms 218876 KB Output is correct
61 Runtime error 1084 ms 262144 KB Execution killed with signal 9
62 Halted 0 ms 0 KB -