#include<bits/stdc++.h>
#pragma GCC optimize("Ofast")
//#pragma GCC optimize("trapv")
#define st first
#define nd second
#define pb push_back
#define eb emplace_back
#define pp(x) pop_back(x)
#define mp(a, b) make_pair(a, b)
#define all(x) (x).begin(), (x).end()
#define rev(x) reverse(all(x))
#define sor(x) sort(all(x))
#define sz(x) (int)(x).size()
#define rsz(x) resize(x)
using namespace std;
///~~~~~~~~~~~~~~~~~~~~~~~~~~
template <typename H, typename T>
ostream& operator<<(ostream& os, pair<H, T> m){
return os <<"("<< m.st<<", "<<m.nd<<")";
}
template <typename H>
ostream& operator<<(ostream& os, vector<H> V){
os<<"{";
for(int i=0; i<V.size(); i++){
if(i)os<<" ";
os<<V[i];
}
os<<"}";
return os;
}
void debug(){cerr<<"\n";}
template <typename H, typename... T>
void debug(H h, T... t) {cerr<<h; if (sizeof...(t)) cerr << ", "; debug(t...);}
#define deb(x...) cerr<<#x<<" = ";debug(x);
//#define deb(x...) ;
///~~~~~~~~~~~~~~~~~~~~~~~~~
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii > vii;
typedef vector<ll> vl;
typedef vector<pll> vll;
typedef string str;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template <typename T>
using ordered_set =
tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define BOOST ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const int N=1<<20, INF=1e9+5, mod2=1e9+7, mod=998244353;
struct modint{
int n=0;
modint(){}
modint(ll x){
n=x%mod;
if(n<0)n+=mod;
}
operator int(){
return n;
}
modint operator+(modint a){a.n = n+a.n; if(a.n>=mod)a.n-=mod;return a;}
modint operator+=(modint a){return (*this)=(*this)+a;}
modint operator-(modint a){a.n = n-a.n; if(a.n<0)a.n+=mod;return a;}
modint operator-=(modint a){return (*this)=(*this)-a;}
modint operator*(modint a){a.n = (n*1ll*a.n)%mod; return a;}
modint operator*=(modint a){return (*this)=(*this)*a;}
modint por(const ll &m)const{
modint a(1);
if(m==0)return a;
if(m==1)return (*this);
a=por(m/2);
a*=a;
return a*(por(m&1));
}
modint odw(){
return por((ll)mod-2);
}
modint operator/(modint a){return (*this)*a.odw();}
modint operator/=(modint a){return (*this)=(*this)/a;}
bool operator==(modint a){return a.n==n;}
friend ostream& operator<<(ostream& os, modint m) {
return os << m.n;
}
};
modint fact[N], fact2[N];
typedef vector<modint> vm;
void factinit(){
fact[0]=1;
for(int i=1; i<N; i++){
fact[i]=(fact[i-1]*modint(i))%mod;
}
fact2[N-1]=fact[N-1].odw();
for(int i=N-2; i>=0; i--){
fact2[i]=(fact2[i+1]*modint(i+1))%mod;
}
}
modint npok(int _n, int _k){
return fact[_n]*fact2[_k]*fact2[_n-_k];
}
int X[N], Y[N], Z[N];
vi Vx, Vy, Vz;
int solve(vi &typ){
int n=typ.size();
int a=n-1, b=n-1, c=n-1;
while(a>=0 && typ[Vx[a]]!=0)a--;
while(b>=0 && typ[Vy[b]]!=1)b--;
while(c>=0 && typ[Vz[c]]!=2)c--;
while(a>=0 && b>=0 && c>=0){
bool to_break=1;
while(a>=0 && (typ[Vx[a]]!=0 || Y[Vx[a]]>=Y[Vy[b]] || Z[Vx[a]]>=Z[Vz[c]]))a--, to_break=0;
if(a==-1)break;
while(b>=0 && (typ[Vy[b]]!=1 || X[Vy[b]]>=X[Vx[a]] || Z[Vy[b]]>=Z[Vz[c]]))b--, to_break=0;
if(b==-1)break;
while(c>=0 && (typ[Vz[c]]!=2 || Y[Vz[c]]>=Y[Vy[b]] || X[Vz[c]]>=X[Vx[a]]))c--, to_break=0;
if(c==-1)break;
if(to_break)break;
}
if(a>=0 && b>=0 && c>=0)return X[Vx[a]]+Y[Vy[b]]+Z[Vz[c]];
return -1;
}
int main(){
//factinit();
BOOST;
int n;
cin>>n;
for(int i=0; i<n; i++){
cin>>X[i]>>Y[i]>>Z[i];
}
Vx.resize(n);
iota(all(Vx), 0);
Vy.resize(n);
iota(all(Vy), 0);
Vz.resize(n);
iota(all(Vz), 0);
sort(all(Vx), [](int a ,int b){return X[a]<X[b];});
sort(all(Vy), [](int a ,int b){return Y[a]<Y[b];});
sort(all(Vz), [](int a ,int b){return Z[a]<Z[b];});
int ans=-1;
vi typ(n);
for(int i=0; i<200; i++){
if(i%10==0){
for(int &j:typ)j=rng()%3;
}
else{
for(int j=n-1; j>=0 && j>=n-1000; j--){
typ[Vx[j]]=rng()%3;
typ[Vy[j]]=rng()%3;
typ[Vz[j]]=rng()%3;
}
}
ans=max(ans, solve(typ));
}
cout<<ans<<"\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
8540 KB |
Output is correct |
2 |
Correct |
7 ms |
8640 KB |
Output is correct |
3 |
Correct |
6 ms |
8536 KB |
Output is correct |
4 |
Correct |
8 ms |
8540 KB |
Output is correct |
5 |
Correct |
7 ms |
8540 KB |
Output is correct |
6 |
Correct |
7 ms |
8540 KB |
Output is correct |
7 |
Correct |
7 ms |
10332 KB |
Output is correct |
8 |
Correct |
6 ms |
8540 KB |
Output is correct |
9 |
Correct |
6 ms |
8540 KB |
Output is correct |
10 |
Correct |
6 ms |
8540 KB |
Output is correct |
11 |
Correct |
7 ms |
8536 KB |
Output is correct |
12 |
Correct |
7 ms |
10332 KB |
Output is correct |
13 |
Correct |
8 ms |
8540 KB |
Output is correct |
14 |
Correct |
9 ms |
8540 KB |
Output is correct |
15 |
Correct |
8 ms |
8540 KB |
Output is correct |
16 |
Correct |
8 ms |
8612 KB |
Output is correct |
17 |
Correct |
9 ms |
8540 KB |
Output is correct |
18 |
Correct |
9 ms |
10332 KB |
Output is correct |
19 |
Correct |
8 ms |
8540 KB |
Output is correct |
20 |
Correct |
9 ms |
8540 KB |
Output is correct |
21 |
Correct |
8 ms |
8696 KB |
Output is correct |
22 |
Correct |
9 ms |
8540 KB |
Output is correct |
23 |
Correct |
8 ms |
8536 KB |
Output is correct |
24 |
Correct |
10 ms |
8568 KB |
Output is correct |
25 |
Correct |
9 ms |
8540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
8540 KB |
Output is correct |
2 |
Correct |
7 ms |
8640 KB |
Output is correct |
3 |
Correct |
6 ms |
8536 KB |
Output is correct |
4 |
Correct |
8 ms |
8540 KB |
Output is correct |
5 |
Correct |
7 ms |
8540 KB |
Output is correct |
6 |
Correct |
7 ms |
8540 KB |
Output is correct |
7 |
Correct |
7 ms |
10332 KB |
Output is correct |
8 |
Correct |
6 ms |
8540 KB |
Output is correct |
9 |
Correct |
6 ms |
8540 KB |
Output is correct |
10 |
Correct |
6 ms |
8540 KB |
Output is correct |
11 |
Correct |
7 ms |
8536 KB |
Output is correct |
12 |
Correct |
7 ms |
10332 KB |
Output is correct |
13 |
Correct |
8 ms |
8540 KB |
Output is correct |
14 |
Correct |
9 ms |
8540 KB |
Output is correct |
15 |
Correct |
8 ms |
8540 KB |
Output is correct |
16 |
Correct |
8 ms |
8612 KB |
Output is correct |
17 |
Correct |
9 ms |
8540 KB |
Output is correct |
18 |
Correct |
9 ms |
10332 KB |
Output is correct |
19 |
Correct |
8 ms |
8540 KB |
Output is correct |
20 |
Correct |
9 ms |
8540 KB |
Output is correct |
21 |
Correct |
8 ms |
8696 KB |
Output is correct |
22 |
Correct |
9 ms |
8540 KB |
Output is correct |
23 |
Correct |
8 ms |
8536 KB |
Output is correct |
24 |
Correct |
10 ms |
8568 KB |
Output is correct |
25 |
Correct |
9 ms |
8540 KB |
Output is correct |
26 |
Correct |
13 ms |
8796 KB |
Output is correct |
27 |
Correct |
16 ms |
8796 KB |
Output is correct |
28 |
Correct |
18 ms |
8800 KB |
Output is correct |
29 |
Correct |
28 ms |
8776 KB |
Output is correct |
30 |
Correct |
18 ms |
8644 KB |
Output is correct |
31 |
Correct |
15 ms |
8684 KB |
Output is correct |
32 |
Correct |
23 ms |
10588 KB |
Output is correct |
33 |
Correct |
16 ms |
8796 KB |
Output is correct |
34 |
Correct |
23 ms |
8788 KB |
Output is correct |
35 |
Correct |
13 ms |
8540 KB |
Output is correct |
36 |
Correct |
14 ms |
8540 KB |
Output is correct |
37 |
Correct |
23 ms |
8796 KB |
Output is correct |
38 |
Incorrect |
24 ms |
8796 KB |
Output isn't correct |
39 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
8540 KB |
Output is correct |
2 |
Correct |
8 ms |
8540 KB |
Output is correct |
3 |
Correct |
7 ms |
8636 KB |
Output is correct |
4 |
Correct |
6 ms |
8540 KB |
Output is correct |
5 |
Correct |
6 ms |
8680 KB |
Output is correct |
6 |
Correct |
7 ms |
8544 KB |
Output is correct |
7 |
Correct |
7 ms |
8540 KB |
Output is correct |
8 |
Correct |
7 ms |
8540 KB |
Output is correct |
9 |
Correct |
8 ms |
8540 KB |
Output is correct |
10 |
Correct |
7 ms |
10328 KB |
Output is correct |
11 |
Correct |
73 ms |
12884 KB |
Output is correct |
12 |
Correct |
278 ms |
11436 KB |
Output is correct |
13 |
Correct |
184 ms |
12072 KB |
Output is correct |
14 |
Correct |
368 ms |
14928 KB |
Output is correct |
15 |
Correct |
247 ms |
12800 KB |
Output is correct |
16 |
Correct |
206 ms |
12992 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
8540 KB |
Output is correct |
2 |
Correct |
8 ms |
8540 KB |
Output is correct |
3 |
Correct |
7 ms |
8636 KB |
Output is correct |
4 |
Correct |
6 ms |
8540 KB |
Output is correct |
5 |
Correct |
6 ms |
8680 KB |
Output is correct |
6 |
Correct |
7 ms |
8544 KB |
Output is correct |
7 |
Correct |
7 ms |
8540 KB |
Output is correct |
8 |
Correct |
7 ms |
8540 KB |
Output is correct |
9 |
Correct |
8 ms |
8540 KB |
Output is correct |
10 |
Correct |
7 ms |
10328 KB |
Output is correct |
11 |
Correct |
73 ms |
12884 KB |
Output is correct |
12 |
Correct |
278 ms |
11436 KB |
Output is correct |
13 |
Correct |
184 ms |
12072 KB |
Output is correct |
14 |
Correct |
368 ms |
14928 KB |
Output is correct |
15 |
Correct |
247 ms |
12800 KB |
Output is correct |
16 |
Correct |
206 ms |
12992 KB |
Output is correct |
17 |
Correct |
6 ms |
8540 KB |
Output is correct |
18 |
Correct |
7 ms |
8540 KB |
Output is correct |
19 |
Correct |
7 ms |
8536 KB |
Output is correct |
20 |
Correct |
9 ms |
10328 KB |
Output is correct |
21 |
Correct |
14 ms |
8540 KB |
Output is correct |
22 |
Correct |
75 ms |
12632 KB |
Output is correct |
23 |
Correct |
174 ms |
12884 KB |
Output is correct |
24 |
Correct |
321 ms |
11612 KB |
Output is correct |
25 |
Correct |
555 ms |
12800 KB |
Output is correct |
26 |
Correct |
231 ms |
12624 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
8540 KB |
Output is correct |
2 |
Correct |
8 ms |
8540 KB |
Output is correct |
3 |
Correct |
7 ms |
8636 KB |
Output is correct |
4 |
Correct |
6 ms |
8540 KB |
Output is correct |
5 |
Correct |
6 ms |
8680 KB |
Output is correct |
6 |
Correct |
7 ms |
8544 KB |
Output is correct |
7 |
Correct |
7 ms |
8540 KB |
Output is correct |
8 |
Correct |
7 ms |
8540 KB |
Output is correct |
9 |
Correct |
8 ms |
8540 KB |
Output is correct |
10 |
Correct |
7 ms |
10328 KB |
Output is correct |
11 |
Correct |
73 ms |
12884 KB |
Output is correct |
12 |
Correct |
278 ms |
11436 KB |
Output is correct |
13 |
Correct |
184 ms |
12072 KB |
Output is correct |
14 |
Correct |
368 ms |
14928 KB |
Output is correct |
15 |
Correct |
247 ms |
12800 KB |
Output is correct |
16 |
Correct |
206 ms |
12992 KB |
Output is correct |
17 |
Correct |
6 ms |
8540 KB |
Output is correct |
18 |
Correct |
7 ms |
8540 KB |
Output is correct |
19 |
Correct |
7 ms |
8536 KB |
Output is correct |
20 |
Correct |
9 ms |
10328 KB |
Output is correct |
21 |
Correct |
14 ms |
8540 KB |
Output is correct |
22 |
Correct |
75 ms |
12632 KB |
Output is correct |
23 |
Correct |
174 ms |
12884 KB |
Output is correct |
24 |
Correct |
321 ms |
11612 KB |
Output is correct |
25 |
Correct |
555 ms |
12800 KB |
Output is correct |
26 |
Correct |
231 ms |
12624 KB |
Output is correct |
27 |
Correct |
7 ms |
8540 KB |
Output is correct |
28 |
Correct |
8 ms |
8540 KB |
Output is correct |
29 |
Correct |
9 ms |
8540 KB |
Output is correct |
30 |
Correct |
9 ms |
8540 KB |
Output is correct |
31 |
Correct |
25 ms |
8792 KB |
Output is correct |
32 |
Correct |
14 ms |
8540 KB |
Output is correct |
33 |
Correct |
13 ms |
8540 KB |
Output is correct |
34 |
Correct |
81 ms |
12824 KB |
Output is correct |
35 |
Correct |
255 ms |
12624 KB |
Output is correct |
36 |
Incorrect |
296 ms |
12724 KB |
Output isn't correct |
37 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
8540 KB |
Output is correct |
2 |
Correct |
8 ms |
8540 KB |
Output is correct |
3 |
Correct |
7 ms |
8636 KB |
Output is correct |
4 |
Correct |
6 ms |
8540 KB |
Output is correct |
5 |
Correct |
6 ms |
8680 KB |
Output is correct |
6 |
Correct |
7 ms |
8544 KB |
Output is correct |
7 |
Correct |
7 ms |
8540 KB |
Output is correct |
8 |
Correct |
7 ms |
8540 KB |
Output is correct |
9 |
Correct |
8 ms |
8540 KB |
Output is correct |
10 |
Correct |
7 ms |
10328 KB |
Output is correct |
11 |
Correct |
73 ms |
12884 KB |
Output is correct |
12 |
Correct |
278 ms |
11436 KB |
Output is correct |
13 |
Correct |
184 ms |
12072 KB |
Output is correct |
14 |
Correct |
368 ms |
14928 KB |
Output is correct |
15 |
Correct |
247 ms |
12800 KB |
Output is correct |
16 |
Correct |
206 ms |
12992 KB |
Output is correct |
17 |
Correct |
6 ms |
8540 KB |
Output is correct |
18 |
Correct |
7 ms |
8540 KB |
Output is correct |
19 |
Correct |
7 ms |
8536 KB |
Output is correct |
20 |
Correct |
9 ms |
10328 KB |
Output is correct |
21 |
Correct |
14 ms |
8540 KB |
Output is correct |
22 |
Correct |
75 ms |
12632 KB |
Output is correct |
23 |
Correct |
174 ms |
12884 KB |
Output is correct |
24 |
Correct |
321 ms |
11612 KB |
Output is correct |
25 |
Correct |
555 ms |
12800 KB |
Output is correct |
26 |
Correct |
231 ms |
12624 KB |
Output is correct |
27 |
Correct |
7 ms |
8540 KB |
Output is correct |
28 |
Correct |
8 ms |
8540 KB |
Output is correct |
29 |
Correct |
9 ms |
8540 KB |
Output is correct |
30 |
Correct |
9 ms |
8540 KB |
Output is correct |
31 |
Correct |
25 ms |
8792 KB |
Output is correct |
32 |
Correct |
14 ms |
8540 KB |
Output is correct |
33 |
Correct |
13 ms |
8540 KB |
Output is correct |
34 |
Correct |
81 ms |
12824 KB |
Output is correct |
35 |
Correct |
255 ms |
12624 KB |
Output is correct |
36 |
Incorrect |
296 ms |
12724 KB |
Output isn't correct |
37 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
8540 KB |
Output is correct |
2 |
Correct |
7 ms |
8640 KB |
Output is correct |
3 |
Correct |
6 ms |
8536 KB |
Output is correct |
4 |
Correct |
8 ms |
8540 KB |
Output is correct |
5 |
Correct |
7 ms |
8540 KB |
Output is correct |
6 |
Correct |
7 ms |
8540 KB |
Output is correct |
7 |
Correct |
7 ms |
10332 KB |
Output is correct |
8 |
Correct |
6 ms |
8540 KB |
Output is correct |
9 |
Correct |
6 ms |
8540 KB |
Output is correct |
10 |
Correct |
6 ms |
8540 KB |
Output is correct |
11 |
Correct |
7 ms |
8536 KB |
Output is correct |
12 |
Correct |
7 ms |
10332 KB |
Output is correct |
13 |
Correct |
8 ms |
8540 KB |
Output is correct |
14 |
Correct |
9 ms |
8540 KB |
Output is correct |
15 |
Correct |
8 ms |
8540 KB |
Output is correct |
16 |
Correct |
8 ms |
8612 KB |
Output is correct |
17 |
Correct |
9 ms |
8540 KB |
Output is correct |
18 |
Correct |
9 ms |
10332 KB |
Output is correct |
19 |
Correct |
8 ms |
8540 KB |
Output is correct |
20 |
Correct |
9 ms |
8540 KB |
Output is correct |
21 |
Correct |
8 ms |
8696 KB |
Output is correct |
22 |
Correct |
9 ms |
8540 KB |
Output is correct |
23 |
Correct |
8 ms |
8536 KB |
Output is correct |
24 |
Correct |
10 ms |
8568 KB |
Output is correct |
25 |
Correct |
9 ms |
8540 KB |
Output is correct |
26 |
Correct |
13 ms |
8796 KB |
Output is correct |
27 |
Correct |
16 ms |
8796 KB |
Output is correct |
28 |
Correct |
18 ms |
8800 KB |
Output is correct |
29 |
Correct |
28 ms |
8776 KB |
Output is correct |
30 |
Correct |
18 ms |
8644 KB |
Output is correct |
31 |
Correct |
15 ms |
8684 KB |
Output is correct |
32 |
Correct |
23 ms |
10588 KB |
Output is correct |
33 |
Correct |
16 ms |
8796 KB |
Output is correct |
34 |
Correct |
23 ms |
8788 KB |
Output is correct |
35 |
Correct |
13 ms |
8540 KB |
Output is correct |
36 |
Correct |
14 ms |
8540 KB |
Output is correct |
37 |
Correct |
23 ms |
8796 KB |
Output is correct |
38 |
Incorrect |
24 ms |
8796 KB |
Output isn't correct |
39 |
Halted |
0 ms |
0 KB |
- |