oj.uz

Submission #852522

# Submission time Handle Problem Language Result Execution time Memory
852522 2023-09-22T00:37:12 Z MinaRagy06 Boarding Passes (BOI22_passes) C++17
60 / 100
 2000 ms 25996 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("trapv")
#define int long long
using namespace std;
typedef int64_t ll;

vector<ll> val[16][16];
vector<int> idx[16];
int prfx[16][100'005];
double dp[1 << 16];
int sum(int g, int l, int r) {
    return prfx[g][r + 1] - prfx[g][l];
}
signed main() {
    ios_base::sync_with_stdio(0), cin.tie(0);
    cout << fixed << setprecision(3);
    string in;
    cin >> in;
    int n = in.size();
    set<int> chars;
    for (auto i : in) {
        chars.insert(i);
    }
    int mp[255]{}, ctr = 0;
    for (auto i : chars) {
        mp[i] = ctr++;
    }
    int m = chars.size();
    int a[n];
    for (int i = 0; i < n; i++) {
        a[i] = mp[(int)in[i]];
    }
    for (int i = 0; i < n; i++) {
        idx[a[i]].push_back(i);
        for (int j = 0; j < m; j++) {
            prfx[j][i + 1] = prfx[j][i];
        }
        prfx[a[i]][i + 1]++;
    }
    for (int i = 0; i < m; i++) {
        for (int j = 0; j < m; j++) {
            vector<int> cur = idx[j];
            val[i][j].resize(cur.size() + 1);
            reverse(cur.begin(), cur.end());
            val[i][j][0] = 0;
            for (auto l : cur) {
                val[i][j][0] += sum(i, l, n - 1);
            }
            for (int k = 1; k <= (int) idx[j].size(); k++) {
                val[i][j][k] = val[i][j][k - 1];
                val[i][j][k] -= sum(i, cur.back(), n - 1);
                val[i][j][k] += sum(i, 0, cur.back());
                cur.pop_back();
            }
        }
    }
//    for (int i = 0; i < m; i++) {
//        for (int j = 0; j < m; j++) {
//            for (int k = 0; k <= (int) idx[j].size(); k++) {
//                cout << "if we include the first " << k << " in " << j << " passes by " << i << ": " << val[i][j][k] << " times\n";
//            }
//        }
//    }
    dp[(1 << m) - 1] = 0;
    for (int msk = (1 << m) - 2; msk >= 0; msk--) {
        vector<int> bits[2];
        for (int i = 0; i < m; i++) {
            bits[(msk >> i) & 1].push_back(i);
        }
        dp[msk] = 1e10;
        for (auto i : bits[0]) {
            double mn = 1e10;
            for (int s = 0; s <= (int) idx[i].size(); s++) {
                double cur = 0;
                for (auto j : bits[1]) {
                    cur += val[j][i][s];
                }
                ll ttl = idx[i].size();
                cur += s * (s - 1) / 4.0 + (ttl - s) * (ttl - s - 1) / 4.0;
                mn = min(mn, cur);
            }
            dp[msk] = min(dp[msk], mn + dp[msk | (1 << i)]);
        }
    }
    cout << dp[0] << '\n';
    /*
    for (int j = 0; j <= n; j++) {
        ans = min(ans, 1.0 * j * (j - 1) / 4.0 + 1.0 * (n - j) * (n - j - 1) / 4.0);
    }
    */
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
2 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
3 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
4 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 348 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 6 ms 3860 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 7 ms 4372 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 8 ms 4748 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 8 ms 4628 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Correct 1 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
4 Correct 1 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
5 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 0 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
7 Correct 1 ms 520 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
8 Correct 0 ms 348 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
9 Correct 1 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
10 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
11 Correct 3 ms 348 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
12 Correct 0 ms 348 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
13 Correct 0 ms 348 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
14 Correct 1 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
15 Correct 1 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
16 Correct 1 ms 344 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
17 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Correct 1 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
4 Correct 1 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
5 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 0 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
7 Correct 1 ms 520 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
8 Correct 0 ms 348 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
9 Correct 1 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
10 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
11 Correct 3 ms 348 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
12 Correct 0 ms 348 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
13 Correct 0 ms 348 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
14 Correct 1 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
15 Correct 1 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
16 Correct 1 ms 344 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
17 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
18 Correct 1 ms 344 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
19 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
20 Correct 1 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
21 Correct 1 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
22 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
23 Correct 1 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
24 Correct 1 ms 348 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
25 Correct 0 ms 348 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
26 Correct 1 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
27 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
28 Correct 1 ms 348 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
29 Correct 1 ms 544 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
30 Correct 1 ms 344 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
31 Correct 1 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
32 Correct 1 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
33 Correct 0 ms 348 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
34 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
35 Correct 1 ms 860 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
36 Correct 1 ms 860 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
37 Correct 214 ms 2176 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
38 Correct 215 ms 2136 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
39 Correct 214 ms 2392 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
40 Correct 212 ms 2140 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
41 Correct 212 ms 2276 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
42 Correct 209 ms 2332 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
43 Correct 222 ms 2136 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
44 Correct 219 ms 2292 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
45 Correct 208 ms 2392 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
46 Correct 211 ms 2340 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
2 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
3 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
4 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 348 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 6 ms 3860 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 7 ms 4372 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 8 ms 4748 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 8 ms 4628 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
10 Correct 0 ms 344 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
11 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
12 Correct 1 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
13 Correct 1 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
14 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
15 Correct 0 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
16 Correct 1 ms 520 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
17 Correct 0 ms 348 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
18 Correct 1 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
19 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
20 Correct 3 ms 348 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
21 Correct 0 ms 348 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
22 Correct 0 ms 348 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
23 Correct 1 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
24 Correct 1 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
25 Correct 1 ms 344 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
26 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
27 Correct 1 ms 344 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
28 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
29 Correct 1 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
30 Correct 1 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
31 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
32 Correct 1 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
33 Correct 1 ms 348 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
34 Correct 0 ms 348 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
35 Correct 1 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
36 Correct 0 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
37 Correct 1 ms 348 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
38 Correct 1 ms 544 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
39 Correct 1 ms 344 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
40 Correct 1 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
41 Correct 1 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
42 Correct 0 ms 348 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
43 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
44 Correct 1 ms 860 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
45 Correct 1 ms 860 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
46 Correct 214 ms 2176 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
47 Correct 215 ms 2136 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
48 Correct 214 ms 2392 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
49 Correct 212 ms 2140 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
50 Correct 212 ms 2276 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
51 Correct 209 ms 2332 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
52 Correct 222 ms 2136 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
53 Correct 219 ms 2292 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
54 Correct 208 ms 2392 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
55 Correct 211 ms 2340 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'
56 Correct 0 ms 348 KB found '7.5000000000', expected '7.5000000000', error '0.0000000000'
57 Correct 56 ms 784 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
58 Correct 1 ms 344 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
59 Correct 1 ms 344 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
60 Correct 0 ms 348 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
61 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
62 Correct 0 ms 348 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
63 Correct 6 ms 3860 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
64 Correct 7 ms 4372 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
65 Correct 8 ms 4656 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
66 Correct 8 ms 4820 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
67 Correct 0 ms 348 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
68 Correct 0 ms 348 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
69 Correct 1 ms 348 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
70 Correct 1 ms 348 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
71 Correct 1 ms 348 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
72 Correct 1 ms 348 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
73 Correct 1 ms 348 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
74 Correct 0 ms 348 KB found '55.5000000000', expected '55.5000000000', error '0.0000000000'
75 Correct 1 ms 348 KB found '56.0000000000', expected '56.0000000000', error '0.0000000000'
76 Correct 1 ms 348 KB found '45.0000000000', expected '45.0000000000', error '0.0000000000'
77 Correct 1 ms 344 KB found '66.5000000000', expected '66.5000000000', error '0.0000000000'
78 Correct 1 ms 348 KB found '67.0000000000', expected '67.0000000000', error '0.0000000000'
79 Correct 1 ms 348 KB found '66.0000000000', expected '66.0000000000', error '0.0000000000'
80 Correct 1 ms 348 KB found '47.0000000000', expected '47.0000000000', error '0.0000000000'
81 Correct 1 ms 348 KB found '50.0000000000', expected '50.0000000000', error '0.0000000000'
82 Correct 1 ms 348 KB found '49.0000000000', expected '49.0000000000', error '0.0000000000'
83 Correct 1 ms 348 KB found '57.0000000000', expected '57.0000000000', error '0.0000000000'
84 Correct 1 ms 860 KB found '12497500.0000000000', expected '12497500.0000000000', error '0.0000000000'
85 Correct 1 ms 860 KB found '12495000.5000000000', expected '12495000.5000000000', error '0.0000000000'
86 Correct 220 ms 2332 KB found '12223392.0000000000', expected '12223392.0000000000', error '0.0000000000'
87 Correct 228 ms 2272 KB found '2372500.0000000000', expected '2372500.0000000000', error '0.0000000000'
88 Correct 229 ms 2396 KB found '12475017.5000000000', expected '12475017.5000000000', error '0.0000000000'
89 Correct 213 ms 2268 KB found '10655706.0000000000', expected '10655706.0000000000', error '0.0000000000'
90 Correct 208 ms 2284 KB found '11977895.5000000000', expected '11977895.5000000000', error '0.0000000000'
91 Correct 217 ms 2388 KB found '11977865.0000000000', expected '11977865.0000000000', error '0.0000000000'
92 Correct 208 ms 2136 KB found '11977907.5000000000', expected '11977907.5000000000', error '0.0000000000'
93 Correct 209 ms 2140 KB found '11977808.0000000000', expected '11977808.0000000000', error '0.0000000000'
94 Correct 213 ms 2640 KB found '11977791.0000000000', expected '11977791.0000000000', error '0.0000000000'
95 Correct 208 ms 2136 KB found '11977871.5000000000', expected '11977871.5000000000', error '0.0000000000'
96 Execution timed out 2048 ms 25996 KB Time limit exceeded
97 Halted 0 ms 0 KB -