Submission #528445

# Submission time Handle Problem Language Result Execution time Memory
528445 2022-02-20T10:03:25 Z WLZ Let's Win the Election (JOI22_ho_t3) C++14
100 / 100
57 ms 2304 KB
#include <bits/stdc++.h>
using namespace std;
 
const double INF = 1.0 / 0.0;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, k;
  cin >> n >> k;
  vector< pair<int, int> > states(n);
  for (int i = 0; i < n; i++) {
    cin >> states[i].second >> states[i].first;
    if (states[i].first == -1) states[i].first = 0x3f3f3f3f;
  }
  sort(states.begin(), states.end());

  auto solve = [&](int m) {
    vector< vector<double> > dp(n + 1, vector<double>(k - m + 1, INF));
    dp[0][0] = 0.0;
    for (int i = 0; i < n; i++) {
      for (int j = 0; j <= k - m; j++) {
        if (j < k - m) dp[i + 1][j + 1] = min(dp[i + 1][j + 1], dp[i][j] + (double) states[i].second / (m + 1));
        dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + (i - j >= m ? 0.0 : (double) states[i].first / (i - j + 1)));
      }
    }
    return dp[n][k - m];
  };

  int l = 0, r = k;
  while (l < r - 2) {
    //cout << l << ' ' << r << endl;
    int m1 = l + (r - l) / 3, m2 = r - (r - l) / 3;
    double x1 = solve(m1), x2 = solve(m2);
    if (x1 >= x2) l = m1;
    if (x1 <= x2) r = m2;
  }
  double ans = INF;
  for (int i = l; i <= r; i++) ans = min(ans, solve(i));
  cout << fixed << setprecision(10) << ans << '\n';
  return 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 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 2 ms 532 KB Output is correct
6 Correct 7 ms 880 KB Output is correct
7 Correct 16 ms 1300 KB Output is correct
8 Correct 27 ms 1860 KB Output is correct
9 Correct 40 ms 2304 KB Output is correct
10 Correct 29 ms 1724 KB Output is correct
# 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 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 2 ms 532 KB Output is correct
6 Correct 7 ms 880 KB Output is correct
7 Correct 16 ms 1300 KB Output is correct
8 Correct 27 ms 1860 KB Output is correct
9 Correct 40 ms 2304 KB Output is correct
10 Correct 29 ms 1724 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 2 ms 716 KB Output is correct
13 Correct 4 ms 716 KB Output is correct
14 Correct 6 ms 780 KB Output is correct
15 Correct 3 ms 1228 KB Output is correct
16 Correct 11 ms 1228 KB Output is correct
17 Correct 28 ms 1480 KB Output is correct
18 Correct 5 ms 1612 KB Output is correct
19 Correct 25 ms 1788 KB Output is correct
20 Correct 57 ms 2132 KB Output is correct
# 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 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 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 1 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
# 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 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 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 1 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 0 ms 204 KB Output is correct
28 Correct 0 ms 204 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 0 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 0 ms 204 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
# 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 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 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 1 ms 204 KB Output is correct
12 Correct 0 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 0 ms 204 KB Output is correct
28 Correct 0 ms 204 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 1 ms 204 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 0 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 0 ms 204 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 0 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 1 ms 332 KB Output is correct
47 Correct 1 ms 332 KB Output is correct
48 Correct 1 ms 332 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 1 ms 332 KB Output is correct
51 Correct 2 ms 332 KB Output is correct
52 Correct 1 ms 332 KB Output is correct
53 Correct 1 ms 372 KB Output is correct
54 Correct 1 ms 332 KB Output is correct
55 Correct 1 ms 332 KB Output is correct
56 Correct 1 ms 332 KB Output is correct
57 Correct 1 ms 332 KB Output is correct
58 Correct 1 ms 332 KB Output is correct
59 Correct 1 ms 332 KB Output is correct
60 Correct 1 ms 332 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 21 ms 1612 KB Output is correct
2 Correct 24 ms 1612 KB Output is correct
3 Correct 15 ms 1612 KB Output is correct
4 Correct 16 ms 1612 KB Output is correct
5 Correct 12 ms 1612 KB Output is correct
6 Correct 35 ms 1788 KB Output is correct
7 Correct 8 ms 1612 KB Output is correct
# 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 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 2 ms 532 KB Output is correct
6 Correct 7 ms 880 KB Output is correct
7 Correct 16 ms 1300 KB Output is correct
8 Correct 27 ms 1860 KB Output is correct
9 Correct 40 ms 2304 KB Output is correct
10 Correct 29 ms 1724 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 2 ms 716 KB Output is correct
13 Correct 4 ms 716 KB Output is correct
14 Correct 6 ms 780 KB Output is correct
15 Correct 3 ms 1228 KB Output is correct
16 Correct 11 ms 1228 KB Output is correct
17 Correct 28 ms 1480 KB Output is correct
18 Correct 5 ms 1612 KB Output is correct
19 Correct 25 ms 1788 KB Output is correct
20 Correct 57 ms 2132 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 0 ms 204 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 0 ms 204 KB Output is correct
27 Correct 0 ms 204 KB Output is correct
28 Correct 0 ms 204 KB Output is correct
29 Correct 0 ms 204 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 0 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 0 ms 204 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 204 KB Output is correct
44 Correct 1 ms 204 KB Output is correct
45 Correct 1 ms 204 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 0 ms 204 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 1 ms 204 KB Output is correct
50 Correct 0 ms 204 KB Output is correct
51 Correct 1 ms 204 KB Output is correct
52 Correct 1 ms 204 KB Output is correct
53 Correct 0 ms 204 KB Output is correct
54 Correct 1 ms 204 KB Output is correct
55 Correct 1 ms 204 KB Output is correct
56 Correct 0 ms 204 KB Output is correct
57 Correct 0 ms 204 KB Output is correct
58 Correct 1 ms 204 KB Output is correct
59 Correct 0 ms 204 KB Output is correct
60 Correct 1 ms 204 KB Output is correct
61 Correct 0 ms 204 KB Output is correct
62 Correct 1 ms 204 KB Output is correct
63 Correct 1 ms 332 KB Output is correct
64 Correct 0 ms 332 KB Output is correct
65 Correct 1 ms 332 KB Output is correct
66 Correct 1 ms 332 KB Output is correct
67 Correct 1 ms 332 KB Output is correct
68 Correct 1 ms 332 KB Output is correct
69 Correct 1 ms 332 KB Output is correct
70 Correct 1 ms 332 KB Output is correct
71 Correct 2 ms 332 KB Output is correct
72 Correct 1 ms 332 KB Output is correct
73 Correct 1 ms 372 KB Output is correct
74 Correct 1 ms 332 KB Output is correct
75 Correct 1 ms 332 KB Output is correct
76 Correct 1 ms 332 KB Output is correct
77 Correct 1 ms 332 KB Output is correct
78 Correct 1 ms 332 KB Output is correct
79 Correct 1 ms 332 KB Output is correct
80 Correct 1 ms 332 KB Output is correct
81 Correct 21 ms 1612 KB Output is correct
82 Correct 24 ms 1612 KB Output is correct
83 Correct 15 ms 1612 KB Output is correct
84 Correct 16 ms 1612 KB Output is correct
85 Correct 12 ms 1612 KB Output is correct
86 Correct 35 ms 1788 KB Output is correct
87 Correct 8 ms 1612 KB Output is correct
88 Correct 2 ms 512 KB Output is correct
89 Correct 1 ms 460 KB Output is correct
90 Correct 6 ms 748 KB Output is correct
91 Correct 2 ms 588 KB Output is correct
92 Correct 12 ms 984 KB Output is correct
93 Correct 5 ms 972 KB Output is correct
94 Correct 19 ms 1400 KB Output is correct
95 Correct 9 ms 1228 KB Output is correct
96 Correct 18 ms 1484 KB Output is correct
97 Correct 13 ms 1484 KB Output is correct
98 Correct 28 ms 1452 KB Output is correct
99 Correct 26 ms 1644 KB Output is correct
100 Correct 17 ms 1372 KB Output is correct
101 Correct 12 ms 1228 KB Output is correct
102 Correct 9 ms 1228 KB Output is correct
103 Correct 6 ms 1228 KB Output is correct
104 Correct 11 ms 1228 KB Output is correct
105 Correct 25 ms 1824 KB Output is correct