oj.uz

Submission #791121

# Submission time Handle Problem Language Result Execution time Memory
791121 2023-07-23T12:33:32 Z winter0101 Team Contest (JOI22_team) C++14
100 / 100
 444 ms 30700 KB 
#include<bits/stdc++.h>
using namespace std;
#define all(fl) fl.begin(),fl.end()
#define pb push_back
#define fi first
#define se second
#define for1(i,j,k) for(int i=j;i<=k;i++)
#define for2(i,j,k) for(int i=j;i>=k;i--)
#define for3(i,j,k,l) for(int i=j;i<=k;i+=l)
#define lb lower_bound
#define ub upper_bound
#define sz(a) (int)a.size()
#define pii pair<int,int>
#define pli pair<long long,int>
#define gcd __gcd
#define lcm(x,y) x*y/__gcd(x,y)
#define pil pair<int,long long>
#define pll pair<long long,long long>
const int maxn=1e5+4e5+9;
struct tup{
int x,y,z;
bool operator < (const tup& p){
return x<p.x;
}
}a[maxn];
int n;
int ans=-1;
int rx[maxn],ry[maxn],rz[maxn];
void nenso(){
    vector<int>n1,n2,n3;
    n1.pb(0),n2.pb(0),n3.pb(0);
    for1(i,1,n){
    n1.pb(a[i].x);
    n2.pb(a[i].y);
    n3.pb(a[i].z);
    }
    sort(all(n1)),sort(all(n2)),sort(all(n3));
    map<int,int>m1,m2,m3;
    for1(i,1,n){
    if (n1[i]>n1[i-1]){
        m1[n1[i]]=m1[n1[i-1]]+1;
        rx[m1[n1[i]]]=n1[i];
    }
    }
    for1(i,1,n){
    if (n2[i]>n2[i-1]){
        m2[n2[i]]=m2[n2[i-1]]+1;
        ry[m2[n2[i]]]=n2[i];
    }
    }
    for1(i,1,n){
    if (n3[i]>n3[i-1]){
        m3[n3[i]]=m3[n3[i-1]]+1;
        rz[m3[n3[i]]]=n3[i];
    }
    }
    for1(i,1,n){
    a[i].x=m1[a[i].x];
    a[i].y=m2[a[i].y];
    a[i].z=m3[a[i].z];
    }
}
struct IT{
vector<int>st;
void resz(int _n){
st.resize(4*_n+9);
}
void rep(int id,int l,int r,int u,int val){
if (l>u||r<u)return;
if (l==r){
    st[id]=val;
    return;
}
int mid=(l+r)/2;
rep(id*2,l,mid,u,val);
rep(id*2+1,mid+1,r,u,val);
st[id]=max(st[id*2],st[id*2+1]);
}
void update(int id,int l,int r,int u,int val){
if (l>u||r<u)return;
if (l==r){
    st[id]=max(st[id],val);
    return;
}
int mid=(l+r)/2;
update(id*2,l,mid,u,val);
update(id*2+1,mid+1,r,u,val);
st[id]=max(st[id*2],st[id*2+1]);
}
int get(int id,int l,int r,int u,int v){
if (l>v||r<u||u>v)return 0;
if (u<=l&&r<=v)return st[id];
int mid=(l+r)/2;
return max(get(id*2,l,mid,u,v),get(id*2+1,mid+1,r,u,v));
}
int walk(int id,int l,int r,int val){
//max suffix >=val
if (l==r&&st[id]>val)return l;
if (st[id]<=val)return -1;
int mid=(l+r)/2;
if (st[id*2+1]>val){
    return walk(id*2+1,mid+1,r,val);
}
return walk(id*2,l,mid,val);
}
};
int best[maxn];
void yz(){
    IT st1,st2,st3;
    //st1 mean match for z
    //st2 mean max z
    //st3 mean max sum
    st1.resz(n);
    st2.resz(n);
    st3.resz(n);
    multiset<pii>bestpair;
    multiset<pii>::iterator it;
    for1(i,1,n)best[i]=0;
    for1(i,1,n){
    int p=i;
    for1(j,i,n){
    if (a[i].x==a[j].x){
        p=j;
    }
    else break;
    }
    for1(j,i,p){
    int checkpoint=st2.walk(1,1,n,a[j].z);
    if (checkpoint>a[j].y){
        ans=max(ans,rx[a[j].x]+st3.get(1,1,n,a[j].y+1,checkpoint));
    }
    }
    for1(j,i,p){
    int vl=st1.get(1,1,n,1,a[j].y-1);
    if (vl>a[j].z){
        //have pair {a[i].y,a[i].z}
        //if (j==9)cerr<<a[j].y<<" "<<vl<<'\n';
        if (best[a[j].y]==0){
            //cerr<<j<<'\n';
            pii tmp={a[j].y,vl};
            bool canadd=true;
            if (!bestpair.empty()){
            while (!bestpair.empty()){//check for a[j].y<a[i].y and a[j].z<a[i].z
                it=bestpair.upper_bound(tmp);
                if (it==bestpair.begin())break;
                it--;
                auto temp=(*it);
                if (temp.se<=tmp.se){
                    bestpair.erase(it);
                    st2.rep(1,1,n,temp.fi,0);
                    st3.rep(1,1,n,temp.fi,0);
                    best[temp.fi]=0;
                }
                else {
                    break;
                }
            }
            if (!bestpair.empty()){
            it=bestpair.upper_bound(tmp);
            if (!bestpair.empty()&&it!=bestpair.end()){
                auto temp=(*it);
                if (temp.se>=tmp.se){
                    canadd=false;
                }
            }
            }
            }
            if (canadd){
                bestpair.insert(tmp);
                best[a[j].y]=vl;
                st2.rep(1,1,n,tmp.fi,tmp.se);
                st3.rep(1,1,n,tmp.fi,ry[tmp.fi]+rz[tmp.se]);
            }
        }
        else if (best[a[j].y]<vl){
            //cerr<<j<<" "<<best[a[<<'\n';
            bestpair.erase(bestpair.find({a[j].y,best[a[j].y]}));
            st2.rep(1,1,n,a[j].y,0);
            st3.rep(1,1,n,a[j].y,0);
            best[a[j].y]=0;
            pii tmp={a[j].y,vl};
            bool canadd=true;
            if (!bestpair.empty()){
            while (!bestpair.empty()){//check for a[j].y<a[i].y and a[j].z<a[i].z
                it=bestpair.upper_bound(tmp);
                if (it==bestpair.begin())break;
                it--;
                auto temp=(*it);
                if (temp.se<=tmp.se){
                    bestpair.erase(it);
                    st2.rep(1,1,n,temp.fi,0);
                    st3.rep(1,1,n,temp.fi,0);
                    best[temp.fi]=0;
                }
                else {
                    break;
                }
            }
            if (!bestpair.empty()){
            it=bestpair.upper_bound(tmp);
            if (!bestpair.empty()&&it!=bestpair.end()){
                auto temp=(*it);
                if (temp.se>=tmp.se){
                    canadd=false;
                }
            }
            }
            }
            if (canadd){
                bestpair.insert(tmp);
                best[a[j].y]=vl;
                st2.rep(1,1,n,tmp.fi,tmp.se);
                st3.rep(1,1,n,tmp.fi,ry[tmp.fi]+rz[tmp.se]);
            }
        }
    }
    st1.update(1,1,n,a[j].y,a[j].z);
    }
    i=p;
    }
    //for (auto v:bestpair)cout<<v.fi<<" "<<v.se<<'\n';
}
signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    //freopen("temp.INP","r",stdin);
    //freopen("temp.OUT","w",stdout);
    cin>>n;
    for1(i,1,n){
    cin>>a[i].x>>a[i].y>>a[i].z;
    }
    sort(a+1,a+1+n);
    nenso();
    //for1(i,1,n)cout<<a[i].x<<" "<<a[i].y<<" "<<a[i].z<<'\n';
    yz();
    for1(i,1,n){
    swap(a[i].y,a[i].z);
    swap(ry[i],rz[i]);
    }
    //for1(i,1,n)cout<<a[i].x<<" "<<a[i].y<<" "<<a[i].z<<'\n';
    yz();
    cout<<ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 408 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct

Subtask #2
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 408 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 7 ms 1108 KB Output is correct
27 Correct 6 ms 952 KB Output is correct
28 Correct 6 ms 852 KB Output is correct
29 Correct 5 ms 868 KB Output is correct
30 Correct 4 ms 724 KB Output is correct
31 Correct 5 ms 596 KB Output is correct
32 Correct 3 ms 724 KB Output is correct
33 Correct 3 ms 724 KB Output is correct
34 Correct 5 ms 1108 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 3 ms 720 KB Output is correct
38 Correct 4 ms 724 KB Output is correct
39 Correct 2 ms 468 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 96 ms 10916 KB Output is correct
12 Correct 53 ms 7340 KB Output is correct
13 Correct 49 ms 8992 KB Output is correct
14 Correct 83 ms 10812 KB Output is correct
15 Correct 77 ms 10960 KB Output is correct
16 Correct 58 ms 10936 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 96 ms 10916 KB Output is correct
12 Correct 53 ms 7340 KB Output is correct
13 Correct 49 ms 8992 KB Output is correct
14 Correct 83 ms 10812 KB Output is correct
15 Correct 77 ms 10960 KB Output is correct
16 Correct 58 ms 10936 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 2 ms 468 KB Output is correct
22 Correct 127 ms 10940 KB Output is correct
23 Correct 113 ms 10600 KB Output is correct
24 Correct 69 ms 8692 KB Output is correct
25 Correct 92 ms 11968 KB Output is correct
26 Correct 80 ms 11844 KB Output is correct

Subtask #5
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 96 ms 10916 KB Output is correct
12 Correct 53 ms 7340 KB Output is correct
13 Correct 49 ms 8992 KB Output is correct
14 Correct 83 ms 10812 KB Output is correct
15 Correct 77 ms 10960 KB Output is correct
16 Correct 58 ms 10936 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 2 ms 468 KB Output is correct
22 Correct 127 ms 10940 KB Output is correct
23 Correct 113 ms 10600 KB Output is correct
24 Correct 69 ms 8692 KB Output is correct
25 Correct 92 ms 11968 KB Output is correct
26 Correct 80 ms 11844 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 4 ms 724 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 148 ms 11968 KB Output is correct
35 Correct 123 ms 11408 KB Output is correct
36 Correct 138 ms 12448 KB Output is correct
37 Correct 111 ms 12548 KB Output is correct
38 Correct 90 ms 12160 KB Output is correct
39 Correct 52 ms 7708 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 96 ms 10916 KB Output is correct
12 Correct 53 ms 7340 KB Output is correct
13 Correct 49 ms 8992 KB Output is correct
14 Correct 83 ms 10812 KB Output is correct
15 Correct 77 ms 10960 KB Output is correct
16 Correct 58 ms 10936 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 2 ms 468 KB Output is correct
22 Correct 127 ms 10940 KB Output is correct
23 Correct 113 ms 10600 KB Output is correct
24 Correct 69 ms 8692 KB Output is correct
25 Correct 92 ms 11968 KB Output is correct
26 Correct 80 ms 11844 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 4 ms 724 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 148 ms 11968 KB Output is correct
35 Correct 123 ms 11408 KB Output is correct
36 Correct 138 ms 12448 KB Output is correct
37 Correct 111 ms 12548 KB Output is correct
38 Correct 90 ms 12160 KB Output is correct
39 Correct 52 ms 7708 KB Output is correct
40 Correct 4 ms 724 KB Output is correct
41 Correct 5 ms 596 KB Output is correct
42 Correct 4 ms 724 KB Output is correct
43 Correct 3 ms 724 KB Output is correct
44 Correct 211 ms 13596 KB Output is correct
45 Correct 148 ms 13564 KB Output is correct
46 Correct 177 ms 13572 KB Output is correct
47 Correct 141 ms 13656 KB Output is correct
48 Correct 103 ms 13164 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 408 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 7 ms 1108 KB Output is correct
27 Correct 6 ms 952 KB Output is correct
28 Correct 6 ms 852 KB Output is correct
29 Correct 5 ms 868 KB Output is correct
30 Correct 4 ms 724 KB Output is correct
31 Correct 5 ms 596 KB Output is correct
32 Correct 3 ms 724 KB Output is correct
33 Correct 3 ms 724 KB Output is correct
34 Correct 5 ms 1108 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 3 ms 720 KB Output is correct
38 Correct 4 ms 724 KB Output is correct
39 Correct 2 ms 468 KB Output is correct
40 Correct 0 ms 340 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 0 ms 340 KB Output is correct
45 Correct 0 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 0 ms 340 KB Output is correct
48 Correct 0 ms 340 KB Output is correct
49 Correct 0 ms 340 KB Output is correct
50 Correct 96 ms 10916 KB Output is correct
51 Correct 53 ms 7340 KB Output is correct
52 Correct 49 ms 8992 KB Output is correct
53 Correct 83 ms 10812 KB Output is correct
54 Correct 77 ms 10960 KB Output is correct
55 Correct 58 ms 10936 KB Output is correct
56 Correct 0 ms 340 KB Output is correct
57 Correct 0 ms 340 KB Output is correct
58 Correct 0 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 2 ms 468 KB Output is correct
61 Correct 127 ms 10940 KB Output is correct
62 Correct 113 ms 10600 KB Output is correct
63 Correct 69 ms 8692 KB Output is correct
64 Correct 92 ms 11968 KB Output is correct
65 Correct 80 ms 11844 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Correct 1 ms 340 KB Output is correct
68 Correct 1 ms 340 KB Output is correct
69 Correct 1 ms 340 KB Output is correct
70 Correct 4 ms 724 KB Output is correct
71 Correct 1 ms 340 KB Output is correct
72 Correct 1 ms 336 KB Output is correct
73 Correct 148 ms 11968 KB Output is correct
74 Correct 123 ms 11408 KB Output is correct
75 Correct 138 ms 12448 KB Output is correct
76 Correct 111 ms 12548 KB Output is correct
77 Correct 90 ms 12160 KB Output is correct
78 Correct 52 ms 7708 KB Output is correct
79 Correct 4 ms 724 KB Output is correct
80 Correct 5 ms 596 KB Output is correct
81 Correct 4 ms 724 KB Output is correct
82 Correct 3 ms 724 KB Output is correct
83 Correct 211 ms 13596 KB Output is correct
84 Correct 148 ms 13564 KB Output is correct
85 Correct 177 ms 13572 KB Output is correct
86 Correct 141 ms 13656 KB Output is correct
87 Correct 103 ms 13164 KB Output is correct
88 Correct 444 ms 30668 KB Output is correct
89 Correct 321 ms 20368 KB Output is correct
90 Correct 378 ms 21960 KB Output is correct
91 Correct 278 ms 18064 KB Output is correct
92 Correct 255 ms 15052 KB Output is correct
93 Correct 318 ms 19936 KB Output is correct
94 Correct 254 ms 14808 KB Output is correct
95 Correct 165 ms 15312 KB Output is correct
96 Correct 274 ms 30700 KB Output is correct
97 Correct 77 ms 14892 KB Output is correct
98 Correct 147 ms 16016 KB Output is correct
99 Correct 165 ms 15960 KB Output is correct