oj.uz

Submission #643496

# Submission time Handle Problem Language Result Execution time Memory
643496 2022-09-22T07:26:31 Z lunchbox1 Let's Win the Election (JOI22_ho_t3) C++17
100 / 100
 108 ms 2388 KB 
/*
sort by b from small to large

optimal construction can be split into two halves
- on the left, all the things are taken
- on the right, only a's are taken

fix the number of b's, let this be t
f(i,j) = min time to use prefix i with j b's
f(i,j) = min(f(i-1,j) + a[i] / t, f(i-1,j-1) + b[i] / t)

now for the suffixes, we need to pick k-i a's at the end,
we must pick the ones with the least a[j] value. this part
can be done in O(n log^2 n)

overall the time complexity is O(n^3)
*/
#include <bits/stdc++.h>
using namespace std;

#ifdef LOCAL
  #include "debug.h"
#else
  #define debug(...) 0
#endif

const int N = 505;
const double INF = 1e18;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(NULL);
  int n, k;
  cin >> n >> k;
  static array<double, 2> p[N];
  for (int i = 0; i < n; i++) {
    double a, b;
    cin >> a >> b;
    if (b == -1)
      b = INF;
    p[i] = {b, a};
  }
  sort(p, p + n);
  static double g[N][N];
  for (int i = 0; i < n; i++) {
    vector<double> t;
    for (int j = i; j < n; j++)
      t.push_back(p[j][1]);
    sort(t.begin(), t.end());
    g[i][0] = 0;
    for (int j = 1; j <= (int) t.size(); j++)
      g[i][j] = g[i][j - 1] + t[j - 1];
  }
  double ans = g[0][k];
  for (int t = 0; t <= k; t++) {
    static double f[N];
    for (int i = 0; i <= t; i++)
      f[i] = INF;
    f[0] = 0;
    for (int i = 0; i < n; i++) {
      for (int j = t; j >= 0; j--)
        f[j] = min(f[j] + p[i][1] / (t + 1), j == 0 ? INF : f[j - 1] + p[i][0] / j);
      if (k - i - 1 >= 0)
        ans = min(ans, f[t] + g[i + 1][k - i - 1] / (t + 1));
    }
  }
  cout << fixed << setprecision(12) << ans << '\n';
  return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 0 ms 340 KB Output is correct
5 Correct 4 ms 2260 KB Output is correct
6 Correct 9 ms 2260 KB Output is correct
7 Correct 28 ms 2260 KB Output is correct
8 Correct 57 ms 2260 KB Output is correct
9 Correct 96 ms 2292 KB Output is correct
10 Correct 48 ms 2260 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 0 ms 340 KB Output is correct
5 Correct 4 ms 2260 KB Output is correct
6 Correct 9 ms 2260 KB Output is correct
7 Correct 28 ms 2260 KB Output is correct
8 Correct 57 ms 2260 KB Output is correct
9 Correct 96 ms 2292 KB Output is correct
10 Correct 48 ms 2260 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 11 ms 2316 KB Output is correct
13 Correct 13 ms 2308 KB Output is correct
14 Correct 13 ms 2260 KB Output is correct
15 Correct 50 ms 2296 KB Output is correct
16 Correct 49 ms 2300 KB Output is correct
17 Correct 51 ms 2260 KB Output is correct
18 Correct 95 ms 2296 KB Output is correct
19 Correct 102 ms 2380 KB Output is correct
20 Correct 103 ms 2292 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 1 ms 340 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 332 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 324 KB Output is correct
18 Correct 1 ms 328 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 328 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 324 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 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 1 ms 324 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 0 ms 324 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 328 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 328 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 328 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 332 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 324 KB Output is correct
18 Correct 1 ms 328 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 328 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 324 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 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 1 ms 324 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 0 ms 324 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 328 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 328 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 724 KB Output is correct
42 Correct 1 ms 724 KB Output is correct
43 Correct 1 ms 724 KB Output is correct
44 Correct 1 ms 724 KB Output is correct
45 Correct 1 ms 708 KB Output is correct
46 Correct 1 ms 724 KB Output is correct
47 Correct 1 ms 724 KB Output is correct
48 Correct 1 ms 724 KB Output is correct
49 Correct 1 ms 724 KB Output is correct
50 Correct 2 ms 716 KB Output is correct
51 Correct 2 ms 724 KB Output is correct
52 Correct 2 ms 712 KB Output is correct
53 Correct 2 ms 724 KB Output is correct
54 Correct 1 ms 724 KB Output is correct
55 Correct 1 ms 716 KB Output is correct
56 Correct 1 ms 724 KB Output is correct
57 Correct 1 ms 724 KB Output is correct
58 Correct 1 ms 708 KB Output is correct
59 Correct 1 ms 724 KB Output is correct
60 Correct 1 ms 724 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 102 ms 2312 KB Output is correct
2 Correct 100 ms 2300 KB Output is correct
3 Correct 105 ms 2296 KB Output is correct
4 Correct 102 ms 2296 KB Output is correct
5 Correct 104 ms 2260 KB Output is correct
6 Correct 108 ms 2388 KB Output is correct
7 Correct 101 ms 2260 KB Output is correct

Subtask #7
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 0 ms 340 KB Output is correct
5 Correct 4 ms 2260 KB Output is correct
6 Correct 9 ms 2260 KB Output is correct
7 Correct 28 ms 2260 KB Output is correct
8 Correct 57 ms 2260 KB Output is correct
9 Correct 96 ms 2292 KB Output is correct
10 Correct 48 ms 2260 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 11 ms 2316 KB Output is correct
13 Correct 13 ms 2308 KB Output is correct
14 Correct 13 ms 2260 KB Output is correct
15 Correct 50 ms 2296 KB Output is correct
16 Correct 49 ms 2300 KB Output is correct
17 Correct 51 ms 2260 KB Output is correct
18 Correct 95 ms 2296 KB Output is correct
19 Correct 102 ms 2380 KB Output is correct
20 Correct 103 ms 2292 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 0 ms 332 KB Output is correct
25 Correct 1 ms 328 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 0 ms 328 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 328 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 332 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 324 KB Output is correct
38 Correct 1 ms 328 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 328 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 324 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 0 ms 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 1 ms 324 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 0 ms 324 KB Output is correct
54 Correct 0 ms 340 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 328 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 328 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 724 KB Output is correct
62 Correct 1 ms 724 KB Output is correct
63 Correct 1 ms 724 KB Output is correct
64 Correct 1 ms 724 KB Output is correct
65 Correct 1 ms 708 KB Output is correct
66 Correct 1 ms 724 KB Output is correct
67 Correct 1 ms 724 KB Output is correct
68 Correct 1 ms 724 KB Output is correct
69 Correct 1 ms 724 KB Output is correct
70 Correct 2 ms 716 KB Output is correct
71 Correct 2 ms 724 KB Output is correct
72 Correct 2 ms 712 KB Output is correct
73 Correct 2 ms 724 KB Output is correct
74 Correct 1 ms 724 KB Output is correct
75 Correct 1 ms 716 KB Output is correct
76 Correct 1 ms 724 KB Output is correct
77 Correct 1 ms 724 KB Output is correct
78 Correct 1 ms 708 KB Output is correct
79 Correct 1 ms 724 KB Output is correct
80 Correct 1 ms 724 KB Output is correct
81 Correct 102 ms 2312 KB Output is correct
82 Correct 100 ms 2300 KB Output is correct
83 Correct 105 ms 2296 KB Output is correct
84 Correct 102 ms 2296 KB Output is correct
85 Correct 104 ms 2260 KB Output is correct
86 Correct 108 ms 2388 KB Output is correct
87 Correct 101 ms 2260 KB Output is correct
88 Correct 9 ms 2252 KB Output is correct
89 Correct 8 ms 2260 KB Output is correct
90 Correct 14 ms 2320 KB Output is correct
91 Correct 17 ms 2324 KB Output is correct
92 Correct 32 ms 2260 KB Output is correct
93 Correct 31 ms 2260 KB Output is correct
94 Correct 65 ms 2304 KB Output is correct
95 Correct 62 ms 2240 KB Output is correct
96 Correct 83 ms 2260 KB Output is correct
97 Correct 85 ms 2300 KB Output is correct
98 Correct 53 ms 2296 KB Output is correct
99 Correct 55 ms 2248 KB Output is correct
100 Correct 56 ms 2304 KB Output is correct
101 Correct 62 ms 2296 KB Output is correct
102 Correct 56 ms 2300 KB Output is correct
103 Correct 53 ms 2300 KB Output is correct
104 Correct 54 ms 2260 KB Output is correct
105 Correct 49 ms 2296 KB Output is correct