oj.uz

Submission #748592

# Submission time Handle Problem Language Result Execution time Memory
748592 2023-05-26T14:44:02 Z GrindMachine Team Contest (JOI22_team) C++17
100 / 100
 713 ms 79348 KB 
// Om Namah Shivaya

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a, b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a, b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*

refs:
edi
https://github.com/koosaga/olympiad/blob/master/JOI/camp22_team.cpp

let's look at the initial array
when will some guy definitely not be in the best triplet?
=> if he dominates in >= 2 areas

so we can remove all guys who cant be there

repeat the process on the resulting array
repeat until we can no longer delete anyone

what does it mean if we can make no more deletions?
there is exactly 1 guy dominating each area

so we can pick the guy dominating each area and that would be our triplet

if < 3 guys are remaining, then not possible

naive simulation of this process = O(n^2)

we can efficiently simulate the process using multiset and map

*/

const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

void solve(int test_case)
{
    ll n; cin >> n;
    vector<array<ll,3>> a(n);
    rep(i,n) rep(j,3) cin >> a[i][j];

    multiset<ll> ms[3];
    rep(i,n){
        rep(j,3){
            ms[j].insert(a[i][j]);
        }
    }

    array<ll,3> mxs;
    rep(j,3) mxs[j] = *ms[j].rbegin();

    vector<ll> cnt(n);
    queue<ll> q;

    rep(i,n){
        rep(j,3){
            if(a[i][j] == mxs[j]){
                cnt[i]++;
            }
        }

        if(cnt[i] >= 2){
            q.push(i);
        }
    }

    map<ll,vector<ll>> mp[3];
    rep(i,n){
        rep(j,3){
            mp[j][a[i][j]].pb(i);
        }
    }

    vector<bool> rem(n);
    ll rem_cnt = 0;

    while(!q.empty()){
        ll i = q.front();
        q.pop();

        if(rem[i]) conts;
        rem[i] = 1;
        rem_cnt++;

        if(rem_cnt == n){
            cout << -1 << endl;
            return;
        }

        rep(j,3){
            ms[j].erase(ms[j].find(a[i][j]));
        }

        array<ll,3> mxs_new;
        rep(j,3){
            mxs_new[j] = *ms[j].rbegin();
        }

        rep(j,3){
            if(mxs_new[j] != mxs[j]){
                trav(i,mp[j][mxs_new[j]]){
                    if(rem[i]) conts;
                    cnt[i]++;
                    if(cnt[i] >= 2){
                        q.push(i);
                    }
                }
            }
        }

        mxs = mxs_new;
    }

    ll ans = 0;
    rep(j,3) ans += mxs[j];

    cout << ans << endl;
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 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 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 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 2260 KB Output is correct
27 Correct 6 ms 1692 KB Output is correct
28 Correct 7 ms 1676 KB Output is correct
29 Correct 8 ms 1640 KB Output is correct
30 Correct 4 ms 1268 KB Output is correct
31 Correct 5 ms 1364 KB Output is correct
32 Correct 6 ms 1236 KB Output is correct
33 Correct 5 ms 1388 KB Output is correct
34 Correct 8 ms 2208 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 4 ms 1492 KB Output is correct
38 Correct 7 ms 1492 KB Output is correct
39 Correct 2 ms 724 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 182 ms 30564 KB Output is correct
12 Correct 154 ms 20716 KB Output is correct
13 Correct 108 ms 24696 KB Output is correct
14 Correct 238 ms 31060 KB Output is correct
15 Correct 153 ms 31424 KB Output is correct
16 Correct 145 ms 31592 KB Output is correct

Subtask #4
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 182 ms 30564 KB Output is correct
12 Correct 154 ms 20716 KB Output is correct
13 Correct 108 ms 24696 KB Output is correct
14 Correct 238 ms 31060 KB Output is correct
15 Correct 153 ms 31424 KB Output is correct
16 Correct 145 ms 31592 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 2 ms 724 KB Output is correct
22 Correct 198 ms 30424 KB Output is correct
23 Correct 198 ms 29552 KB Output is correct
24 Correct 176 ms 22456 KB Output is correct
25 Correct 279 ms 30696 KB Output is correct
26 Correct 169 ms 31152 KB Output is correct

Subtask #5
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 182 ms 30564 KB Output is correct
12 Correct 154 ms 20716 KB Output is correct
13 Correct 108 ms 24696 KB Output is correct
14 Correct 238 ms 31060 KB Output is correct
15 Correct 153 ms 31424 KB Output is correct
16 Correct 145 ms 31592 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 2 ms 724 KB Output is correct
22 Correct 198 ms 30424 KB Output is correct
23 Correct 198 ms 29552 KB Output is correct
24 Correct 176 ms 22456 KB Output is correct
25 Correct 279 ms 30696 KB Output is correct
26 Correct 169 ms 31152 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 6 ms 1236 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 253 ms 29336 KB Output is correct
35 Correct 274 ms 29824 KB Output is correct
36 Correct 310 ms 31760 KB Output is correct
37 Correct 387 ms 31048 KB Output is correct
38 Correct 209 ms 31044 KB Output is correct
39 Correct 129 ms 18972 KB Output is correct

Subtask #6
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 182 ms 30564 KB Output is correct
12 Correct 154 ms 20716 KB Output is correct
13 Correct 108 ms 24696 KB Output is correct
14 Correct 238 ms 31060 KB Output is correct
15 Correct 153 ms 31424 KB Output is correct
16 Correct 145 ms 31592 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 2 ms 724 KB Output is correct
22 Correct 198 ms 30424 KB Output is correct
23 Correct 198 ms 29552 KB Output is correct
24 Correct 176 ms 22456 KB Output is correct
25 Correct 279 ms 30696 KB Output is correct
26 Correct 169 ms 31152 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 6 ms 1236 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 253 ms 29336 KB Output is correct
35 Correct 274 ms 29824 KB Output is correct
36 Correct 310 ms 31760 KB Output is correct
37 Correct 387 ms 31048 KB Output is correct
38 Correct 209 ms 31044 KB Output is correct
39 Correct 129 ms 18972 KB Output is correct
40 Correct 4 ms 1236 KB Output is correct
41 Correct 5 ms 1476 KB Output is correct
42 Correct 4 ms 1492 KB Output is correct
43 Correct 5 ms 1492 KB Output is correct
44 Correct 380 ms 33844 KB Output is correct
45 Correct 515 ms 32768 KB Output is correct
46 Correct 499 ms 35576 KB Output is correct
47 Correct 525 ms 35192 KB Output is correct
48 Correct 253 ms 34260 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 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 2260 KB Output is correct
27 Correct 6 ms 1692 KB Output is correct
28 Correct 7 ms 1676 KB Output is correct
29 Correct 8 ms 1640 KB Output is correct
30 Correct 4 ms 1268 KB Output is correct
31 Correct 5 ms 1364 KB Output is correct
32 Correct 6 ms 1236 KB Output is correct
33 Correct 5 ms 1388 KB Output is correct
34 Correct 8 ms 2208 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 4 ms 1492 KB Output is correct
38 Correct 7 ms 1492 KB Output is correct
39 Correct 2 ms 724 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 182 ms 30564 KB Output is correct
51 Correct 154 ms 20716 KB Output is correct
52 Correct 108 ms 24696 KB Output is correct
53 Correct 238 ms 31060 KB Output is correct
54 Correct 153 ms 31424 KB Output is correct
55 Correct 145 ms 31592 KB Output is correct
56 Correct 0 ms 212 KB Output is correct
57 Correct 0 ms 212 KB Output is correct
58 Correct 0 ms 212 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 2 ms 724 KB Output is correct
61 Correct 198 ms 30424 KB Output is correct
62 Correct 198 ms 29552 KB Output is correct
63 Correct 176 ms 22456 KB Output is correct
64 Correct 279 ms 30696 KB Output is correct
65 Correct 169 ms 31152 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 6 ms 1236 KB Output is correct
71 Correct 1 ms 468 KB Output is correct
72 Correct 1 ms 468 KB Output is correct
73 Correct 253 ms 29336 KB Output is correct
74 Correct 274 ms 29824 KB Output is correct
75 Correct 310 ms 31760 KB Output is correct
76 Correct 387 ms 31048 KB Output is correct
77 Correct 209 ms 31044 KB Output is correct
78 Correct 129 ms 18972 KB Output is correct
79 Correct 4 ms 1236 KB Output is correct
80 Correct 5 ms 1476 KB Output is correct
81 Correct 4 ms 1492 KB Output is correct
82 Correct 5 ms 1492 KB Output is correct
83 Correct 380 ms 33844 KB Output is correct
84 Correct 515 ms 32768 KB Output is correct
85 Correct 499 ms 35576 KB Output is correct
86 Correct 525 ms 35192 KB Output is correct
87 Correct 253 ms 34260 KB Output is correct
88 Correct 686 ms 79344 KB Output is correct
89 Correct 658 ms 58192 KB Output is correct
90 Correct 606 ms 61484 KB Output is correct
91 Correct 692 ms 53836 KB Output is correct
92 Correct 518 ms 42444 KB Output is correct
93 Correct 713 ms 58696 KB Output is correct
94 Correct 635 ms 49012 KB Output is correct
95 Correct 313 ms 46120 KB Output is correct
96 Correct 465 ms 79348 KB Output is correct
97 Correct 179 ms 35544 KB Output is correct
98 Correct 197 ms 47456 KB Output is correct
99 Correct 247 ms 47516 KB Output is correct