Submission #887502

# Submission time Handle Problem Language Result Execution time Memory
887502 2023-12-14T16:33:53 Z Ahmed57 Team Contest (JOI22_team) C++17
100 / 100
1300 ms 117492 KB
#include <bits/stdc++.h>
using namespace std;
#define int long long
long long seg1[1800001],seg2[1800001];
pair<long long,long long> seg3[1800001],seg4[1800001];

void build(int p,int l,int r){
	seg1[p] = seg2[p] = -1e9;
	seg3[p] = {-1e9,-1e9};
	seg4[p] = {-1e9,-1e9};
    if(l==r){
        return ;
    }
    int md = (l+r)/2;
    build(p*2,l,md);build(p*2+1,md+1,r);
}
void update1(int p,int l,int r,int idx,long long val){
	if(l==r){
		seg1[p] = max(seg1[p],val);
		return ;
	}
	int md = (l+r)/2;
	if(idx<=md)update1(p*2,l,md,idx,val);
	else update1(p*2+1,md+1,r,idx,val);
	seg1[p] = max(seg1[p*2],seg1[p*2+1]);
}void update2(int p,int l,int r,int idx,long long val){
	if(l==r){
		seg2[p] = max(seg2[p],val);
		return ;
	}
	int md = (l+r)/2;
	if(idx<=md)update2(p*2,l,md,idx,val);
	else update2(p*2+1,md+1,r,idx,val);
	seg2[p] = max(seg2[p*2],seg2[p*2+1]);
}void update3(int p,int l,int r,int idx,long long val2,long long val){
	if(l==r){
		seg3[p] = max(seg3[p],make_pair(val,val+val2));
		return ;
	}
	int md = (l+r)/2;
	if(idx<=md)update3(p*2,l,md,idx,val2,val);
	else update3(p*2+1,md+1,r,idx,val2,val);
	seg3[p] = max(seg3[p*2],seg3[p*2+1]);
}void update4(int p,int l,int r,int idx,long long val2,long long val){
	if(l==r){
		seg4[p] = max(seg4[p],make_pair(val,val+val2));
		return ;
	}
	int md = (l+r)/2;
	if(idx<=md)update4(p*2,l,md,idx,val2,val);
	else update4(p*2+1,md+1,r,idx,val2,val);
	seg4[p] = max(seg4[p*2],seg4[p*2+1]);
}
long long query1(int p,int l,int r,int lq,int rq){
	if(r<lq||l>rq||lq>rq)return -1e9;
    if(l>=lq&&r<=rq)return seg1[p];
    int md = (l+r)/2;
    return max(query1(p*2,l,md,lq,rq),query1(p*2+1,md+1,r,lq,rq));
}long long query2(int p,int l,int r,int lq,int rq){
	if(r<lq||l>rq||lq>rq)return -1e9;
    if(l>=lq&&r<=rq)return seg2[p];
    int md = (l+r)/2;
    return max(query2(p*2,l,md,lq,rq),query2(p*2+1,md+1,r,lq,rq));
}long long query3(int p,int l,int r,int lq,int rq,int limit){
	if(r<lq||l>rq||lq>rq)return -1e9;
    if(l>=lq&&r<=rq){
    	if(seg3[p].first>limit)return seg3[p].second;
    	else return -1e9;
    }
    int md = (l+r)/2;
    return max(query3(p*2,l,md,lq,rq,limit),query3(p*2+1,md+1,r,lq,rq,limit));
}long long query4(int p,int l,int r,int lq,int rq,int limit){
	if(r<lq||l>rq||lq>rq)return -1e9;
    if(l>=lq&&r<=rq){
    	if(seg4[p].first>limit)return seg4[p].second;
    	else return -1e9;
    }
    int md = (l+r)/2;
    return max(query4(p*2,l,md,lq,rq,limit),query4(p*2+1,md+1,r,lq,rq,limit));
}
signed main(){
	ios_base::sync_with_stdio(0);cin.tie(0);
	//freopen("01-15.txt","r",stdin);
	//freopen("output.txt","w",stdout);
	int n;
	cin>>n;
	vector<array<long long,3>> v;
	map<int,int> mp,sav;
	for(int i = 0;i<n;i++){
		long long a,b,c;cin>>a>>b>>c;
		v.push_back({a,b,c});
		mp[a]++;
		mp[b]++;
		mp[c]++;
	}
	int cnt = 0;
	for(auto i:mp){
		sav[i.first] = ++cnt;
	}
	sort(v.begin(),v.end());
	int ind = 0;
	long long ans = -1e9;
	build(1,1,cnt);
	for(int i = 0;i<n;i++){
        while(v[ind][0]<v[i][0]){
            {//taking first as max
                long long val = query1(1,1,cnt,1,sav[v[ind][1]]-1);
                if(val>v[ind][2]){
                	update3(1,1,cnt,sav[v[ind][1]],v[ind][1],val);
                }
            }
            {
                long long val = query2(1,1,cnt,1,sav[v[ind][2]]-1);
                if(val>v[ind][1]){
                	update4(1,1,cnt,sav[v[ind][2]],v[ind][2],val);
                }
            }
            update1(1,1,cnt,sav[v[ind][1]],v[ind][2]);
            update2(1,1,cnt,sav[v[ind][2]],v[ind][1]);
            ind++;
        }
        ans = max(ans,v[i][0]+max(query3(1,1,cnt,sav[v[i][1]]+1,cnt,v[i][2]),query4(1,1,cnt,sav[v[i][2]]+1,cnt,v[i][1])));
	}
	cout<<(ans<0?-1:ans)<<endl;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 2 ms 6748 KB Output is correct
15 Correct 1 ms 6676 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6748 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6492 KB Output is correct
22 Correct 2 ms 6748 KB Output is correct
23 Correct 1 ms 6492 KB Output is correct
24 Correct 1 ms 6492 KB Output is correct
25 Correct 2 ms 6492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 2 ms 6748 KB Output is correct
15 Correct 1 ms 6676 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6748 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6492 KB Output is correct
22 Correct 2 ms 6748 KB Output is correct
23 Correct 1 ms 6492 KB Output is correct
24 Correct 1 ms 6492 KB Output is correct
25 Correct 2 ms 6492 KB Output is correct
26 Correct 15 ms 10332 KB Output is correct
27 Correct 13 ms 9820 KB Output is correct
28 Correct 11 ms 9816 KB Output is correct
29 Correct 9 ms 9564 KB Output is correct
30 Correct 6 ms 7000 KB Output is correct
31 Correct 8 ms 7000 KB Output is correct
32 Correct 5 ms 6744 KB Output is correct
33 Correct 4 ms 7260 KB Output is correct
34 Correct 10 ms 10456 KB Output is correct
35 Correct 2 ms 6492 KB Output is correct
36 Correct 2 ms 6492 KB Output is correct
37 Correct 4 ms 7000 KB Output is correct
38 Correct 5 ms 7004 KB Output is correct
39 Correct 2 ms 6492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6744 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6488 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6608 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6488 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 54 ms 11276 KB Output is correct
12 Correct 34 ms 9600 KB Output is correct
13 Correct 38 ms 9924 KB Output is correct
14 Correct 50 ms 12248 KB Output is correct
15 Correct 41 ms 11296 KB Output is correct
16 Correct 31 ms 11200 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6744 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6488 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6608 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6488 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 54 ms 11276 KB Output is correct
12 Correct 34 ms 9600 KB Output is correct
13 Correct 38 ms 9924 KB Output is correct
14 Correct 50 ms 12248 KB Output is correct
15 Correct 41 ms 11296 KB Output is correct
16 Correct 31 ms 11200 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 2 ms 6492 KB Output is correct
22 Correct 80 ms 11972 KB Output is correct
23 Correct 71 ms 10980 KB Output is correct
24 Correct 52 ms 10060 KB Output is correct
25 Correct 71 ms 12476 KB Output is correct
26 Correct 45 ms 12476 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6744 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6488 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6608 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6488 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 54 ms 11276 KB Output is correct
12 Correct 34 ms 9600 KB Output is correct
13 Correct 38 ms 9924 KB Output is correct
14 Correct 50 ms 12248 KB Output is correct
15 Correct 41 ms 11296 KB Output is correct
16 Correct 31 ms 11200 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 2 ms 6492 KB Output is correct
22 Correct 80 ms 11972 KB Output is correct
23 Correct 71 ms 10980 KB Output is correct
24 Correct 52 ms 10060 KB Output is correct
25 Correct 71 ms 12476 KB Output is correct
26 Correct 45 ms 12476 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6612 KB Output is correct
29 Correct 1 ms 6608 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 5 ms 6752 KB Output is correct
32 Correct 2 ms 6492 KB Output is correct
33 Correct 2 ms 6492 KB Output is correct
34 Correct 167 ms 12900 KB Output is correct
35 Correct 152 ms 11464 KB Output is correct
36 Correct 154 ms 13500 KB Output is correct
37 Correct 123 ms 13252 KB Output is correct
38 Correct 73 ms 13516 KB Output is correct
39 Correct 36 ms 10188 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6744 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6488 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6608 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6488 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 54 ms 11276 KB Output is correct
12 Correct 34 ms 9600 KB Output is correct
13 Correct 38 ms 9924 KB Output is correct
14 Correct 50 ms 12248 KB Output is correct
15 Correct 41 ms 11296 KB Output is correct
16 Correct 31 ms 11200 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6492 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 2 ms 6492 KB Output is correct
22 Correct 80 ms 11972 KB Output is correct
23 Correct 71 ms 10980 KB Output is correct
24 Correct 52 ms 10060 KB Output is correct
25 Correct 71 ms 12476 KB Output is correct
26 Correct 45 ms 12476 KB Output is correct
27 Correct 1 ms 6492 KB Output is correct
28 Correct 1 ms 6612 KB Output is correct
29 Correct 1 ms 6608 KB Output is correct
30 Correct 1 ms 6492 KB Output is correct
31 Correct 5 ms 6752 KB Output is correct
32 Correct 2 ms 6492 KB Output is correct
33 Correct 2 ms 6492 KB Output is correct
34 Correct 167 ms 12900 KB Output is correct
35 Correct 152 ms 11464 KB Output is correct
36 Correct 154 ms 13500 KB Output is correct
37 Correct 123 ms 13252 KB Output is correct
38 Correct 73 ms 13516 KB Output is correct
39 Correct 36 ms 10188 KB Output is correct
40 Correct 6 ms 7004 KB Output is correct
41 Correct 8 ms 7000 KB Output is correct
42 Correct 6 ms 6872 KB Output is correct
43 Correct 5 ms 6928 KB Output is correct
44 Correct 306 ms 14132 KB Output is correct
45 Correct 226 ms 13028 KB Output is correct
46 Correct 247 ms 13760 KB Output is correct
47 Correct 230 ms 13132 KB Output is correct
48 Correct 87 ms 13172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 1 ms 6492 KB Output is correct
3 Correct 1 ms 6492 KB Output is correct
4 Correct 1 ms 6492 KB Output is correct
5 Correct 1 ms 6492 KB Output is correct
6 Correct 1 ms 6492 KB Output is correct
7 Correct 1 ms 6492 KB Output is correct
8 Correct 1 ms 6492 KB Output is correct
9 Correct 1 ms 6492 KB Output is correct
10 Correct 1 ms 6492 KB Output is correct
11 Correct 1 ms 6492 KB Output is correct
12 Correct 1 ms 6492 KB Output is correct
13 Correct 1 ms 6492 KB Output is correct
14 Correct 2 ms 6748 KB Output is correct
15 Correct 1 ms 6676 KB Output is correct
16 Correct 1 ms 6488 KB Output is correct
17 Correct 1 ms 6492 KB Output is correct
18 Correct 1 ms 6492 KB Output is correct
19 Correct 1 ms 6748 KB Output is correct
20 Correct 1 ms 6492 KB Output is correct
21 Correct 1 ms 6492 KB Output is correct
22 Correct 2 ms 6748 KB Output is correct
23 Correct 1 ms 6492 KB Output is correct
24 Correct 1 ms 6492 KB Output is correct
25 Correct 2 ms 6492 KB Output is correct
26 Correct 15 ms 10332 KB Output is correct
27 Correct 13 ms 9820 KB Output is correct
28 Correct 11 ms 9816 KB Output is correct
29 Correct 9 ms 9564 KB Output is correct
30 Correct 6 ms 7000 KB Output is correct
31 Correct 8 ms 7000 KB Output is correct
32 Correct 5 ms 6744 KB Output is correct
33 Correct 4 ms 7260 KB Output is correct
34 Correct 10 ms 10456 KB Output is correct
35 Correct 2 ms 6492 KB Output is correct
36 Correct 2 ms 6492 KB Output is correct
37 Correct 4 ms 7000 KB Output is correct
38 Correct 5 ms 7004 KB Output is correct
39 Correct 2 ms 6492 KB Output is correct
40 Correct 1 ms 6744 KB Output is correct
41 Correct 1 ms 6492 KB Output is correct
42 Correct 1 ms 6488 KB Output is correct
43 Correct 1 ms 6492 KB Output is correct
44 Correct 1 ms 6608 KB Output is correct
45 Correct 1 ms 6492 KB Output is correct
46 Correct 1 ms 6488 KB Output is correct
47 Correct 1 ms 6492 KB Output is correct
48 Correct 1 ms 6492 KB Output is correct
49 Correct 1 ms 6492 KB Output is correct
50 Correct 54 ms 11276 KB Output is correct
51 Correct 34 ms 9600 KB Output is correct
52 Correct 38 ms 9924 KB Output is correct
53 Correct 50 ms 12248 KB Output is correct
54 Correct 41 ms 11296 KB Output is correct
55 Correct 31 ms 11200 KB Output is correct
56 Correct 1 ms 6492 KB Output is correct
57 Correct 1 ms 6492 KB Output is correct
58 Correct 1 ms 6492 KB Output is correct
59 Correct 1 ms 6492 KB Output is correct
60 Correct 2 ms 6492 KB Output is correct
61 Correct 80 ms 11972 KB Output is correct
62 Correct 71 ms 10980 KB Output is correct
63 Correct 52 ms 10060 KB Output is correct
64 Correct 71 ms 12476 KB Output is correct
65 Correct 45 ms 12476 KB Output is correct
66 Correct 1 ms 6492 KB Output is correct
67 Correct 1 ms 6612 KB Output is correct
68 Correct 1 ms 6608 KB Output is correct
69 Correct 1 ms 6492 KB Output is correct
70 Correct 5 ms 6752 KB Output is correct
71 Correct 2 ms 6492 KB Output is correct
72 Correct 2 ms 6492 KB Output is correct
73 Correct 167 ms 12900 KB Output is correct
74 Correct 152 ms 11464 KB Output is correct
75 Correct 154 ms 13500 KB Output is correct
76 Correct 123 ms 13252 KB Output is correct
77 Correct 73 ms 13516 KB Output is correct
78 Correct 36 ms 10188 KB Output is correct
79 Correct 6 ms 7004 KB Output is correct
80 Correct 8 ms 7000 KB Output is correct
81 Correct 6 ms 6872 KB Output is correct
82 Correct 5 ms 6928 KB Output is correct
83 Correct 306 ms 14132 KB Output is correct
84 Correct 226 ms 13028 KB Output is correct
85 Correct 247 ms 13760 KB Output is correct
86 Correct 230 ms 13132 KB Output is correct
87 Correct 87 ms 13172 KB Output is correct
88 Correct 1300 ms 116676 KB Output is correct
89 Correct 754 ms 71732 KB Output is correct
90 Correct 932 ms 96172 KB Output is correct
91 Correct 561 ms 64616 KB Output is correct
92 Correct 395 ms 20464 KB Output is correct
93 Correct 535 ms 55312 KB Output is correct
94 Correct 396 ms 34548 KB Output is correct
95 Correct 198 ms 42224 KB Output is correct
96 Correct 616 ms 117492 KB Output is correct
97 Correct 47 ms 14264 KB Output is correct
98 Correct 217 ms 24396 KB Output is correct
99 Correct 233 ms 23360 KB Output is correct