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Submission #476439

# Submission time Handle Problem Language Result Execution time Memory
476439 2021-09-26T20:31:35 Z PurpleCrayon Diversity (CEOI21_diversity) C++17
64 / 100
 268 ms 16376 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int MAXN = 3e5+10, MOD = 1e9+7;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

int rnd(int l, int r){
    return uniform_int_distribution<int>(l, r)(rng);
}

int n, q, a[MAXN];
map<int, int> mp;

ll c2(ll x) { return x*(x+1)/2; }
ll cost(vector<int> v) {
    int sum = 0;
    for (auto c : v) sum += c;

    ll ans = 0;

    int l = 0;
    for (auto c : v) {
        int r = sum - l - c;
        ans += c2(sum) - c2(l) - c2(r);
        l += c;
    }
    return ans;
}
void test() {
    /*
    int n; cin >> n;
    vector<int> a(n); for (auto& c : a) cin >> c;
    */
    int n = rnd(4, 8);
    vector<int> a(n); for (auto& c : a) c = rnd(1, 10);

    sort(a.begin(), a.end());
    pair<int, vector<int>> ans{MOD, {}};
    do {
        ans = min(ans, make_pair(int(cost(a)), a));
    } while (next_permutation(a.begin(), a.end()));

    cout << ans.first << '\n';
    for (auto c : ans.second) cout << c << ' ';
    cout << '\n';

    sort(a.begin(), a.end());

    vector<int> v(n);
    for (int l = 0, r = n-1, b = 0; b < n; b++) {
        if (b & 1) v[r--] = a[b];
        else v[l++] = a[b];
    }
    assert(cost(v) == ans.first);
    cout.flush();
}

void solve() {
    cin >> n >> q;
    assert(q == 1);
    for (int i = 0; i < n; i++) {
        cin >> a[i];
        mp[a[i]]++;
    }
    vector<int> v;
    for (auto [_, x] : mp) v.push_back(x);
    sort(v.begin(), v.end());

    int m = sz(v);
    vector<int> ord(m);
    for (int l = 0, r = m-1, b = 0; b < m; b++) {
        if (b & 1) ord[r--] = v[b];
        else ord[l++] = v[b];
    }
    cout << cost(ord) << '\n';
}
int main(){
    ios::sync_with_stdio(false); cin.tie(0);
    int T=1;
    // cin >> T;
    while (T--) solve();
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 7 ms 588 KB Output is correct
5 Correct 15 ms 1100 KB Output is correct
6 Correct 27 ms 1348 KB Output is correct
7 Correct 25 ms 1368 KB Output is correct
8 Correct 29 ms 1452 KB Output is correct
9 Correct 21 ms 1408 KB Output is correct
10 Correct 27 ms 1484 KB Output is correct
11 Correct 23 ms 1392 KB Output is correct
12 Correct 22 ms 1456 KB Output is correct
13 Correct 26 ms 1376 KB Output is correct
14 Correct 22 ms 1384 KB Output is correct
15 Correct 29 ms 1412 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 7 ms 588 KB Output is correct
5 Correct 15 ms 1100 KB Output is correct
6 Correct 27 ms 1348 KB Output is correct
7 Correct 25 ms 1368 KB Output is correct
8 Correct 29 ms 1452 KB Output is correct
9 Correct 21 ms 1408 KB Output is correct
10 Correct 27 ms 1484 KB Output is correct
11 Correct 23 ms 1392 KB Output is correct
12 Correct 22 ms 1456 KB Output is correct
13 Correct 26 ms 1376 KB Output is correct
14 Correct 22 ms 1384 KB Output is correct
15 Correct 29 ms 1412 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 8 ms 600 KB Output is correct
20 Correct 18 ms 1016 KB Output is correct
21 Correct 24 ms 1448 KB Output is correct
22 Correct 27 ms 1488 KB Output is correct
23 Correct 30 ms 1384 KB Output is correct
24 Correct 25 ms 1448 KB Output is correct
25 Correct 26 ms 1484 KB Output is correct
26 Correct 25 ms 1448 KB Output is correct
27 Correct 27 ms 1412 KB Output is correct
28 Correct 24 ms 1484 KB Output is correct
29 Correct 28 ms 1452 KB Output is correct
30 Correct 26 ms 1420 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 7 ms 588 KB Output is correct
5 Correct 15 ms 1100 KB Output is correct
6 Correct 27 ms 1348 KB Output is correct
7 Correct 25 ms 1368 KB Output is correct
8 Correct 29 ms 1452 KB Output is correct
9 Correct 21 ms 1408 KB Output is correct
10 Correct 27 ms 1484 KB Output is correct
11 Correct 23 ms 1392 KB Output is correct
12 Correct 22 ms 1456 KB Output is correct
13 Correct 26 ms 1376 KB Output is correct
14 Correct 22 ms 1384 KB Output is correct
15 Correct 29 ms 1412 KB Output is correct
16 Correct 0 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 8 ms 600 KB Output is correct
20 Correct 18 ms 1016 KB Output is correct
21 Correct 24 ms 1448 KB Output is correct
22 Correct 27 ms 1488 KB Output is correct
23 Correct 30 ms 1384 KB Output is correct
24 Correct 25 ms 1448 KB Output is correct
25 Correct 26 ms 1484 KB Output is correct
26 Correct 25 ms 1448 KB Output is correct
27 Correct 27 ms 1412 KB Output is correct
28 Correct 24 ms 1484 KB Output is correct
29 Correct 28 ms 1452 KB Output is correct
30 Correct 26 ms 1420 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 2 ms 332 KB Output is correct
35 Correct 2 ms 332 KB Output is correct
36 Correct 2 ms 332 KB Output is correct
37 Correct 6 ms 460 KB Output is correct
38 Correct 8 ms 460 KB Output is correct
39 Correct 13 ms 716 KB Output is correct
40 Correct 29 ms 1092 KB Output is correct
41 Correct 42 ms 1452 KB Output is correct
42 Correct 40 ms 1528 KB Output is correct
43 Correct 40 ms 1540 KB Output is correct
44 Correct 46 ms 1480 KB Output is correct
45 Correct 43 ms 1504 KB Output is correct
46 Correct 40 ms 1468 KB Output is correct
47 Correct 47 ms 1540 KB Output is correct
48 Correct 47 ms 1500 KB Output is correct
49 Correct 43 ms 1476 KB Output is correct
50 Correct 44 ms 1448 KB Output is correct
51 Correct 43 ms 1524 KB Output is correct
52 Correct 41 ms 1424 KB Output is correct
53 Correct 39 ms 1496 KB Output is correct
54 Correct 45 ms 1476 KB Output is correct
55 Correct 41 ms 1468 KB Output is correct
56 Correct 39 ms 1496 KB Output is correct
57 Correct 47 ms 1428 KB Output is correct
58 Correct 46 ms 1432 KB Output is correct
59 Correct 42 ms 1472 KB Output is correct
60 Correct 44 ms 1480 KB Output is correct

Subtask #5
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 7 ms 588 KB Output is correct
15 Correct 15 ms 1100 KB Output is correct
16 Correct 27 ms 1348 KB Output is correct
17 Correct 25 ms 1368 KB Output is correct
18 Correct 29 ms 1452 KB Output is correct
19 Correct 21 ms 1408 KB Output is correct
20 Correct 27 ms 1484 KB Output is correct
21 Correct 23 ms 1392 KB Output is correct
22 Correct 22 ms 1456 KB Output is correct
23 Correct 26 ms 1376 KB Output is correct
24 Correct 22 ms 1384 KB Output is correct
25 Correct 29 ms 1412 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 8 ms 600 KB Output is correct
30 Correct 18 ms 1016 KB Output is correct
31 Correct 24 ms 1448 KB Output is correct
32 Correct 27 ms 1488 KB Output is correct
33 Correct 30 ms 1384 KB Output is correct
34 Correct 25 ms 1448 KB Output is correct
35 Correct 26 ms 1484 KB Output is correct
36 Correct 25 ms 1448 KB Output is correct
37 Correct 27 ms 1412 KB Output is correct
38 Correct 24 ms 1484 KB Output is correct
39 Correct 28 ms 1452 KB Output is correct
40 Correct 26 ms 1420 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 2 ms 332 KB Output is correct
45 Correct 2 ms 332 KB Output is correct
46 Correct 2 ms 332 KB Output is correct
47 Correct 6 ms 460 KB Output is correct
48 Correct 8 ms 460 KB Output is correct
49 Correct 13 ms 716 KB Output is correct
50 Correct 29 ms 1092 KB Output is correct
51 Correct 42 ms 1452 KB Output is correct
52 Correct 40 ms 1528 KB Output is correct
53 Correct 40 ms 1540 KB Output is correct
54 Correct 46 ms 1480 KB Output is correct
55 Correct 43 ms 1504 KB Output is correct
56 Correct 40 ms 1468 KB Output is correct
57 Correct 47 ms 1540 KB Output is correct
58 Correct 47 ms 1500 KB Output is correct
59 Correct 43 ms 1476 KB Output is correct
60 Correct 44 ms 1448 KB Output is correct
61 Correct 43 ms 1524 KB Output is correct
62 Correct 41 ms 1424 KB Output is correct
63 Correct 39 ms 1496 KB Output is correct
64 Correct 45 ms 1476 KB Output is correct
65 Correct 41 ms 1468 KB Output is correct
66 Correct 39 ms 1496 KB Output is correct
67 Correct 47 ms 1428 KB Output is correct
68 Correct 46 ms 1432 KB Output is correct
69 Correct 42 ms 1472 KB Output is correct
70 Correct 44 ms 1480 KB Output is correct
71 Correct 8 ms 564 KB Output is correct
72 Correct 9 ms 588 KB Output is correct
73 Correct 9 ms 560 KB Output is correct
74 Correct 9 ms 556 KB Output is correct
75 Correct 9 ms 588 KB Output is correct
76 Correct 21 ms 984 KB Output is correct
77 Correct 22 ms 916 KB Output is correct
78 Correct 22 ms 912 KB Output is correct
79 Correct 22 ms 996 KB Output is correct
80 Correct 21 ms 920 KB Output is correct
81 Correct 41 ms 1608 KB Output is correct
82 Correct 40 ms 1688 KB Output is correct
83 Correct 47 ms 1644 KB Output is correct
84 Correct 46 ms 1672 KB Output is correct
85 Correct 40 ms 1604 KB Output is correct
86 Correct 53 ms 2360 KB Output is correct
87 Correct 50 ms 2220 KB Output is correct
88 Correct 50 ms 2260 KB Output is correct
89 Correct 49 ms 2292 KB Output is correct
90 Correct 55 ms 2196 KB Output is correct
91 Correct 148 ms 7356 KB Output is correct
92 Correct 148 ms 7492 KB Output is correct
93 Correct 144 ms 7404 KB Output is correct
94 Correct 116 ms 7396 KB Output is correct
95 Correct 166 ms 7452 KB Output is correct
96 Correct 202 ms 13388 KB Output is correct
97 Correct 212 ms 13292 KB Output is correct
98 Correct 175 ms 13348 KB Output is correct
99 Correct 219 ms 13312 KB Output is correct
100 Correct 180 ms 13336 KB Output is correct
101 Correct 180 ms 13324 KB Output is correct
102 Correct 215 ms 13388 KB Output is correct
103 Correct 199 ms 13392 KB Output is correct
104 Correct 225 ms 13288 KB Output is correct
105 Correct 196 ms 13368 KB Output is correct
106 Correct 208 ms 16272 KB Output is correct
107 Correct 207 ms 16188 KB Output is correct
108 Correct 205 ms 16280 KB Output is correct
109 Correct 215 ms 16188 KB Output is correct
110 Correct 260 ms 16272 KB Output is correct
111 Correct 206 ms 16376 KB Output is correct
112 Correct 208 ms 16232 KB Output is correct
113 Correct 268 ms 16220 KB Output is correct
114 Correct 243 ms 16228 KB Output is correct
115 Correct 199 ms 16200 KB Output is correct

Subtask #6
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 7 ms 588 KB Output is correct
15 Correct 15 ms 1100 KB Output is correct
16 Correct 27 ms 1348 KB Output is correct
17 Correct 25 ms 1368 KB Output is correct
18 Correct 29 ms 1452 KB Output is correct
19 Correct 21 ms 1408 KB Output is correct
20 Correct 27 ms 1484 KB Output is correct
21 Correct 23 ms 1392 KB Output is correct
22 Correct 22 ms 1456 KB Output is correct
23 Correct 26 ms 1376 KB Output is correct
24 Correct 22 ms 1384 KB Output is correct
25 Correct 29 ms 1412 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 8 ms 600 KB Output is correct
30 Correct 18 ms 1016 KB Output is correct
31 Correct 24 ms 1448 KB Output is correct
32 Correct 27 ms 1488 KB Output is correct
33 Correct 30 ms 1384 KB Output is correct
34 Correct 25 ms 1448 KB Output is correct
35 Correct 26 ms 1484 KB Output is correct
36 Correct 25 ms 1448 KB Output is correct
37 Correct 27 ms 1412 KB Output is correct
38 Correct 24 ms 1484 KB Output is correct
39 Correct 28 ms 1452 KB Output is correct
40 Correct 26 ms 1420 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 2 ms 332 KB Output is correct
45 Correct 2 ms 332 KB Output is correct
46 Correct 2 ms 332 KB Output is correct
47 Correct 6 ms 460 KB Output is correct
48 Correct 8 ms 460 KB Output is correct
49 Correct 13 ms 716 KB Output is correct
50 Correct 29 ms 1092 KB Output is correct
51 Correct 42 ms 1452 KB Output is correct
52 Correct 40 ms 1528 KB Output is correct
53 Correct 40 ms 1540 KB Output is correct
54 Correct 46 ms 1480 KB Output is correct
55 Correct 43 ms 1504 KB Output is correct
56 Correct 40 ms 1468 KB Output is correct
57 Correct 47 ms 1540 KB Output is correct
58 Correct 47 ms 1500 KB Output is correct
59 Correct 43 ms 1476 KB Output is correct
60 Correct 44 ms 1448 KB Output is correct
61 Correct 43 ms 1524 KB Output is correct
62 Correct 41 ms 1424 KB Output is correct
63 Correct 39 ms 1496 KB Output is correct
64 Correct 45 ms 1476 KB Output is correct
65 Correct 41 ms 1468 KB Output is correct
66 Correct 39 ms 1496 KB Output is correct
67 Correct 47 ms 1428 KB Output is correct
68 Correct 46 ms 1432 KB Output is correct
69 Correct 42 ms 1472 KB Output is correct
70 Correct 44 ms 1480 KB Output is correct
71 Correct 8 ms 564 KB Output is correct
72 Correct 9 ms 588 KB Output is correct
73 Correct 9 ms 560 KB Output is correct
74 Correct 9 ms 556 KB Output is correct
75 Correct 9 ms 588 KB Output is correct
76 Correct 21 ms 984 KB Output is correct
77 Correct 22 ms 916 KB Output is correct
78 Correct 22 ms 912 KB Output is correct
79 Correct 22 ms 996 KB Output is correct
80 Correct 21 ms 920 KB Output is correct
81 Correct 41 ms 1608 KB Output is correct
82 Correct 40 ms 1688 KB Output is correct
83 Correct 47 ms 1644 KB Output is correct
84 Correct 46 ms 1672 KB Output is correct
85 Correct 40 ms 1604 KB Output is correct
86 Correct 53 ms 2360 KB Output is correct
87 Correct 50 ms 2220 KB Output is correct
88 Correct 50 ms 2260 KB Output is correct
89 Correct 49 ms 2292 KB Output is correct
90 Correct 55 ms 2196 KB Output is correct
91 Correct 148 ms 7356 KB Output is correct
92 Correct 148 ms 7492 KB Output is correct
93 Correct 144 ms 7404 KB Output is correct
94 Correct 116 ms 7396 KB Output is correct
95 Correct 166 ms 7452 KB Output is correct
96 Correct 202 ms 13388 KB Output is correct
97 Correct 212 ms 13292 KB Output is correct
98 Correct 175 ms 13348 KB Output is correct
99 Correct 219 ms 13312 KB Output is correct
100 Correct 180 ms 13336 KB Output is correct
101 Correct 180 ms 13324 KB Output is correct
102 Correct 215 ms 13388 KB Output is correct
103 Correct 199 ms 13392 KB Output is correct
104 Correct 225 ms 13288 KB Output is correct
105 Correct 196 ms 13368 KB Output is correct
106 Correct 208 ms 16272 KB Output is correct
107 Correct 207 ms 16188 KB Output is correct
108 Correct 205 ms 16280 KB Output is correct
109 Correct 215 ms 16188 KB Output is correct
110 Correct 260 ms 16272 KB Output is correct
111 Correct 206 ms 16376 KB Output is correct
112 Correct 208 ms 16232 KB Output is correct
113 Correct 268 ms 16220 KB Output is correct
114 Correct 243 ms 16228 KB Output is correct
115 Correct 199 ms 16200 KB Output is correct
116 Runtime error 1 ms 460 KB Execution killed with signal 6
117 Halted 0 ms 0 KB -