oj.uz

Submission #593133

# Submission time Handle Problem Language Result Execution time Memory
593133 2022-07-10T12:33:38 Z MilosMilutinovic Boarding Passes (BOI22_passes) C++14
100 / 100
 242 ms 25632 KB 
/**
 *    author:  wxhtzdy
 *    created: 10.07.2022 13:22:51
**/
#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);  
  string s;
  cin >> s;
  int n = (int) s.size();
  vector<int> a(n);
  for (int i = 0; i < n; i++) {
    a[i] = (int) (s[i] - 'A');
  }
  const int A = 15;
  vector<vector<int>> ids(A);
  for (int i = 0; i < n; i++) {
    ids[a[i]].push_back(i);
  }
  vector<vector<vector<long long>>> cntL(A, vector<vector<long long>>(A));
  vector<vector<vector<long long>>> cntR(A, vector<vector<long long>>(A));
  for (int i = 0; i < A; i++) {
    int sz = (int) ids[i].size();
    for (int j = 0; j < A; j++) {
      cntL[i][j].resize(sz);
      int ptr = 0;         
      for (int k = 0; k < sz; k++) {                  
        while (ptr < (int) ids[j].size() && ids[j][ptr] < ids[i][k]) {
          ptr += 1;
        }
        cntL[i][j][k] = ptr;
        if (k > 0) {
          cntL[i][j][k] += cntL[i][j][k - 1];
        }
      }
    }
  }                    
  for (int i = 0; i < A; i++) {
    int sz = (int) ids[i].size();
    for (int j = 0; j < A; j++) {
      cntR[i][j].resize(sz);
      int ptr = (int) ids[j].size() - 1;         
      for (int k = sz - 1; k >= 0; k--) {                  
        while (ptr >= 0 && ids[j][ptr] > ids[i][k]) {
          ptr -= 1;
        }
        cntR[i][j][k] = (int) ids[j].size() - 1 - ptr;
        if (k < sz - 1) {
          cntR[i][j][k] += cntR[i][j][k + 1];
        }
      }
    }
  }                    
  vector<long double> dp(1 << A, 1e14);
  dp[0] = 0;
  for (int s = 0; s < (1 << A); s++) {
    for (int i = 0; i < A; i++) {
      if (s >> i & 1) {
        continue;
      }
      if (ids[i].empty()) {
        dp[s | (1 << i)] = min(dp[s | (1 << i)], dp[s]);
        continue;
      }
      auto Calc = [&](int id) {
        int L = id + 1;
        int R = (int) ids[i].size() - id - 1;
        long double res = (double) (L * 1LL * (L - 1) / 2) / 2.0; 
        res += (R * 1LL * (R - 1) / 2) / 2.0;
        for (int j = 0; j < A; j++) {
          if (s >> j & 1) {
            if (id >= 0) {
              res += cntL[i][j][id];
            }
            if (id + 1 < (int) ids[i].size()) {
              res += cntR[i][j][id + 1];
            }
          }
        }
        return res;
      };  
      int low = -1, high = (int) ids[i].size() - 2, at = high + 1;
      while (low <= high) {
        int mid = (low + high) >> 1;
        if (Calc(mid) > Calc(mid + 1)) {
          low = mid + 1;
        } else {
          at = mid;
          high = mid - 1;
        }
      }
      dp[s | (1 << i)] = min(dp[s | (1 << i)], dp[s] + Calc(at));      
    } 
  }
  int zzz = dp[(1 << A) - 1];
  if (dp[(1 << A) - 1] != (double) zzz) {
    cout << fixed << setprecision(1) << dp[(1 << A) - 1];
  } else {
    cout << fixed << setprecision(0) << dp[(1 << A) - 1];
  }
  return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 980 KB Output is correct
2 Correct 7 ms 852 KB Output is correct
3 Correct 9 ms 724 KB Output is correct
4 Correct 10 ms 852 KB Output is correct
5 Correct 18 ms 984 KB Output is correct
6 Correct 39 ms 20240 KB Output is correct
7 Correct 43 ms 24112 KB Output is correct
8 Correct 44 ms 25604 KB Output is correct
9 Correct 45 ms 25568 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 852 KB Output is correct
2 Correct 14 ms 852 KB Output is correct
3 Correct 45 ms 852 KB Output is correct
4 Correct 43 ms 852 KB Output is correct
5 Correct 27 ms 852 KB Output is correct
6 Correct 22 ms 852 KB Output is correct
7 Correct 39 ms 852 KB Output is correct
8 Correct 33 ms 852 KB Output is correct
9 Correct 35 ms 852 KB Output is correct
10 Correct 38 ms 852 KB Output is correct
11 Correct 35 ms 852 KB Output is correct
12 Correct 37 ms 852 KB Output is correct
13 Correct 34 ms 852 KB Output is correct
14 Correct 35 ms 852 KB Output is correct
15 Correct 36 ms 852 KB Output is correct
16 Correct 34 ms 852 KB Output is correct
17 Correct 37 ms 852 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 852 KB Output is correct
2 Correct 14 ms 852 KB Output is correct
3 Correct 45 ms 852 KB Output is correct
4 Correct 43 ms 852 KB Output is correct
5 Correct 27 ms 852 KB Output is correct
6 Correct 22 ms 852 KB Output is correct
7 Correct 39 ms 852 KB Output is correct
8 Correct 33 ms 852 KB Output is correct
9 Correct 35 ms 852 KB Output is correct
10 Correct 38 ms 852 KB Output is correct
11 Correct 35 ms 852 KB Output is correct
12 Correct 37 ms 852 KB Output is correct
13 Correct 34 ms 852 KB Output is correct
14 Correct 35 ms 852 KB Output is correct
15 Correct 36 ms 852 KB Output is correct
16 Correct 34 ms 852 KB Output is correct
17 Correct 37 ms 852 KB Output is correct
18 Correct 13 ms 852 KB Output is correct
19 Correct 14 ms 852 KB Output is correct
20 Correct 44 ms 852 KB Output is correct
21 Correct 44 ms 852 KB Output is correct
22 Correct 27 ms 852 KB Output is correct
23 Correct 23 ms 852 KB Output is correct
24 Correct 36 ms 852 KB Output is correct
25 Correct 32 ms 852 KB Output is correct
26 Correct 36 ms 852 KB Output is correct
27 Correct 38 ms 852 KB Output is correct
28 Correct 35 ms 852 KB Output is correct
29 Correct 36 ms 852 KB Output is correct
30 Correct 34 ms 744 KB Output is correct
31 Correct 35 ms 852 KB Output is correct
32 Correct 36 ms 852 KB Output is correct
33 Correct 35 ms 852 KB Output is correct
34 Correct 38 ms 852 KB Output is correct
35 Correct 21 ms 3284 KB Output is correct
36 Correct 21 ms 3284 KB Output is correct
37 Correct 111 ms 3284 KB Output is correct
38 Correct 105 ms 3284 KB Output is correct
39 Correct 40 ms 3284 KB Output is correct
40 Correct 99 ms 3268 KB Output is correct
41 Correct 106 ms 3284 KB Output is correct
42 Correct 106 ms 3284 KB Output is correct
43 Correct 102 ms 3284 KB Output is correct
44 Correct 106 ms 3284 KB Output is correct
45 Correct 104 ms 3284 KB Output is correct
46 Correct 105 ms 3284 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 980 KB Output is correct
2 Correct 7 ms 852 KB Output is correct
3 Correct 9 ms 724 KB Output is correct
4 Correct 10 ms 852 KB Output is correct
5 Correct 18 ms 984 KB Output is correct
6 Correct 39 ms 20240 KB Output is correct
7 Correct 43 ms 24112 KB Output is correct
8 Correct 44 ms 25604 KB Output is correct
9 Correct 45 ms 25568 KB Output is correct
10 Correct 13 ms 852 KB Output is correct
11 Correct 14 ms 852 KB Output is correct
12 Correct 45 ms 852 KB Output is correct
13 Correct 43 ms 852 KB Output is correct
14 Correct 27 ms 852 KB Output is correct
15 Correct 22 ms 852 KB Output is correct
16 Correct 39 ms 852 KB Output is correct
17 Correct 33 ms 852 KB Output is correct
18 Correct 35 ms 852 KB Output is correct
19 Correct 38 ms 852 KB Output is correct
20 Correct 35 ms 852 KB Output is correct
21 Correct 37 ms 852 KB Output is correct
22 Correct 34 ms 852 KB Output is correct
23 Correct 35 ms 852 KB Output is correct
24 Correct 36 ms 852 KB Output is correct
25 Correct 34 ms 852 KB Output is correct
26 Correct 37 ms 852 KB Output is correct
27 Correct 13 ms 852 KB Output is correct
28 Correct 14 ms 852 KB Output is correct
29 Correct 44 ms 852 KB Output is correct
30 Correct 44 ms 852 KB Output is correct
31 Correct 27 ms 852 KB Output is correct
32 Correct 23 ms 852 KB Output is correct
33 Correct 36 ms 852 KB Output is correct
34 Correct 32 ms 852 KB Output is correct
35 Correct 36 ms 852 KB Output is correct
36 Correct 38 ms 852 KB Output is correct
37 Correct 35 ms 852 KB Output is correct
38 Correct 36 ms 852 KB Output is correct
39 Correct 34 ms 744 KB Output is correct
40 Correct 35 ms 852 KB Output is correct
41 Correct 36 ms 852 KB Output is correct
42 Correct 35 ms 852 KB Output is correct
43 Correct 38 ms 852 KB Output is correct
44 Correct 21 ms 3284 KB Output is correct
45 Correct 21 ms 3284 KB Output is correct
46 Correct 111 ms 3284 KB Output is correct
47 Correct 105 ms 3284 KB Output is correct
48 Correct 40 ms 3284 KB Output is correct
49 Correct 99 ms 3268 KB Output is correct
50 Correct 106 ms 3284 KB Output is correct
51 Correct 106 ms 3284 KB Output is correct
52 Correct 102 ms 3284 KB Output is correct
53 Correct 106 ms 3284 KB Output is correct
54 Correct 104 ms 3284 KB Output is correct
55 Correct 105 ms 3284 KB Output is correct
56 Correct 23 ms 852 KB Output is correct
57 Correct 49 ms 852 KB Output is correct
58 Correct 17 ms 960 KB Output is correct
59 Correct 7 ms 852 KB Output is correct
60 Correct 9 ms 836 KB Output is correct
61 Correct 9 ms 852 KB Output is correct
62 Correct 17 ms 980 KB Output is correct
63 Correct 41 ms 20368 KB Output is correct
64 Correct 42 ms 24080 KB Output is correct
65 Correct 43 ms 25608 KB Output is correct
66 Correct 42 ms 25632 KB Output is correct
67 Correct 13 ms 852 KB Output is correct
68 Correct 13 ms 852 KB Output is correct
69 Correct 45 ms 852 KB Output is correct
70 Correct 46 ms 852 KB Output is correct
71 Correct 27 ms 828 KB Output is correct
72 Correct 21 ms 852 KB Output is correct
73 Correct 37 ms 852 KB Output is correct
74 Correct 32 ms 852 KB Output is correct
75 Correct 36 ms 852 KB Output is correct
76 Correct 35 ms 852 KB Output is correct
77 Correct 35 ms 828 KB Output is correct
78 Correct 37 ms 852 KB Output is correct
79 Correct 34 ms 852 KB Output is correct
80 Correct 36 ms 852 KB Output is correct
81 Correct 36 ms 852 KB Output is correct
82 Correct 36 ms 852 KB Output is correct
83 Correct 38 ms 852 KB Output is correct
84 Correct 21 ms 3284 KB Output is correct
85 Correct 21 ms 3348 KB Output is correct
86 Correct 109 ms 3272 KB Output is correct
87 Correct 106 ms 3272 KB Output is correct
88 Correct 40 ms 3284 KB Output is correct
89 Correct 94 ms 3272 KB Output is correct
90 Correct 106 ms 3284 KB Output is correct
91 Correct 105 ms 3284 KB Output is correct
92 Correct 103 ms 3284 KB Output is correct
93 Correct 112 ms 3284 KB Output is correct
94 Correct 106 ms 3252 KB Output is correct
95 Correct 103 ms 3284 KB Output is correct
96 Correct 242 ms 25572 KB Output is correct
97 Correct 57 ms 852 KB Output is correct
98 Correct 217 ms 25400 KB Output is correct
99 Correct 71 ms 25580 KB Output is correct
100 Correct 36 ms 852 KB Output is correct
101 Correct 183 ms 25428 KB Output is correct
102 Correct 202 ms 25528 KB Output is correct
103 Correct 203 ms 25212 KB Output is correct
104 Correct 203 ms 25372 KB Output is correct
105 Correct 206 ms 25400 KB Output is correct
106 Correct 204 ms 25280 KB Output is correct
107 Correct 208 ms 25340 KB Output is correct
108 Correct 207 ms 25292 KB Output is correct
109 Correct 203 ms 25292 KB Output is correct