oj.uz

Submission #624258

# Submission time Handle Problem Language Result Execution time Memory
624258 2022-08-07T15:03:05 Z slime Let's Win the Election (JOI22_ho_t3) C++14
100 / 100
 1952 ms 247500 KB 
#include "bits/stdc++.h"
using namespace std;
//#define int long long
const int MAXN = 3e5 + 10;
const int MOD = 998244353;
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
  int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
bool cmp(pair<int, int> x, pair<int, int> y) {
  return x.second < y.second;
}
int n, k, a[MAXN], b[MAXN];
double fun(int bcnt) {
  double dp[k - bcnt + 1][bcnt + 1][n + 1]; // type A, type B, prefix
  for(int i=0; i<=k-bcnt; i++) {
    for(int j=0; j<=bcnt; j++) {
      for(int l=0; l<=n; l++) {
        dp[i][j][l] = 1e9;
      }
    }
  }
  for(int i=0; i<=n; i++) dp[0][0][i] = 0;
  for(int i=0; i<=k-bcnt; i++) {
    for(int j=0; j<=bcnt; j++) {
      if(i == 0 && j == 0) continue;
      for(int l=i+j; l<=n; l++) {
        // register as type A
        if(i > 0) dp[i][j][l] = dp[i-1][j][l-1] + a[l] * 1.0 / (bcnt + 1);
        // register as type B
        if(j > 0 && b[l] != 1226) dp[i][j][l] = min(dp[i][j][l], dp[i][j-1][l-1] + b[l] * 1.0 / j);
        // register as neither
        dp[i][j][l] = min(dp[i][j][l], dp[i][j][l-1]);
      }
    }
  }
  return dp[k-bcnt][bcnt][n];
}
void solve(int tc) {
  cin >> n >> k;
  pair<int, int> p[n+1];
  for(int i=1; i<=n; i++) {
    cin >> p[i].first >> p[i].second;
    if(p[i].second == -1) p[i].second = 1226;
  }
  sort(p+1, p+n+1, cmp);
  for(int i=1; i<=n; i++) {
    a[i] = p[i].first, b[i] = p[i].second;
  }
  int lb = 0, rb = k;
  double res[k+1];
  for(int i=0; i<=k; i++) res[i] = -1;
  while(lb < rb) {
    int mid = (lb + rb) >> 1;
    double f0 = (res[mid] < 0 ? fun(mid) : res[mid]);
    double f1 = (res[mid+1] < 0 ? fun(mid+1) : res[mid+1]);
    if(f0 > f1) lb = mid+1;
    else rb = mid;
  }
  cout << fixed << setprecision(10) << (res[lb] < 0 ? fun(lb) : res[lb]) << "\n";
 
} 
int32_t main() {
  ios::sync_with_stdio(0); cin.tie(0);
  int t = 1; //cin >> t;
  for(int i=1; i<=t; i++) solve(i);
}
// I don't know geometry.
// Teaming is unfair.
 
/*
8
7
3 15
19 40
11 62
7 72
16 27
33 53
14 50
17 24
*/

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 212 KB Output is correct
5 Correct 9 ms 2992 KB Output is correct
6 Correct 45 ms 16132 KB Output is correct
7 Correct 165 ms 62460 KB Output is correct
8 Correct 351 ms 139704 KB Output is correct
9 Correct 540 ms 247392 KB Output is correct
10 Correct 300 ms 121924 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 212 KB Output is correct
5 Correct 9 ms 2992 KB Output is correct
6 Correct 45 ms 16132 KB Output is correct
7 Correct 165 ms 62460 KB Output is correct
8 Correct 351 ms 139704 KB Output is correct
9 Correct 540 ms 247392 KB Output is correct
10 Correct 300 ms 121924 KB Output is correct
11 Correct 1 ms 304 KB Output is correct
12 Correct 84 ms 22972 KB Output is correct
13 Correct 180 ms 22868 KB Output is correct
14 Correct 172 ms 22972 KB Output is correct
15 Correct 340 ms 121756 KB Output is correct
16 Correct 926 ms 121804 KB Output is correct
17 Correct 728 ms 121796 KB Output is correct
18 Correct 603 ms 247392 KB Output is correct
19 Correct 1651 ms 247388 KB Output is correct
20 Correct 1111 ms 247392 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 0 ms 340 KB Output is correct
36 Correct 1 ms 264 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 0 ms 340 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 0 ms 340 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 0 ms 340 KB Output is correct
36 Correct 1 ms 264 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 0 ms 340 KB Output is correct
41 Correct 1 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 2 ms 852 KB Output is correct
46 Correct 3 ms 852 KB Output is correct
47 Correct 5 ms 1108 KB Output is correct
48 Correct 5 ms 1108 KB Output is correct
49 Correct 6 ms 1620 KB Output is correct
50 Correct 7 ms 1620 KB Output is correct
51 Correct 10 ms 2388 KB Output is correct
52 Correct 7 ms 2388 KB Output is correct
53 Correct 3 ms 1108 KB Output is correct
54 Correct 6 ms 1108 KB Output is correct
55 Correct 5 ms 1108 KB Output is correct
56 Correct 4 ms 1108 KB Output is correct
57 Correct 5 ms 1108 KB Output is correct
58 Correct 4 ms 1108 KB Output is correct
59 Correct 6 ms 1220 KB Output is correct
60 Correct 6 ms 1112 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1952 ms 247372 KB Output is correct
2 Correct 1782 ms 247500 KB Output is correct
3 Correct 1704 ms 247400 KB Output is correct
4 Correct 1334 ms 247400 KB Output is correct
5 Correct 1164 ms 247308 KB Output is correct
6 Correct 1885 ms 247404 KB Output is correct
7 Correct 938 ms 247400 KB Output is correct

Subtask #7
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 212 KB Output is correct
5 Correct 9 ms 2992 KB Output is correct
6 Correct 45 ms 16132 KB Output is correct
7 Correct 165 ms 62460 KB Output is correct
8 Correct 351 ms 139704 KB Output is correct
9 Correct 540 ms 247392 KB Output is correct
10 Correct 300 ms 121924 KB Output is correct
11 Correct 1 ms 304 KB Output is correct
12 Correct 84 ms 22972 KB Output is correct
13 Correct 180 ms 22868 KB Output is correct
14 Correct 172 ms 22972 KB Output is correct
15 Correct 340 ms 121756 KB Output is correct
16 Correct 926 ms 121804 KB Output is correct
17 Correct 728 ms 121796 KB Output is correct
18 Correct 603 ms 247392 KB Output is correct
19 Correct 1651 ms 247388 KB Output is correct
20 Correct 1111 ms 247392 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 0 ms 340 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 0 ms 340 KB Output is correct
45 Correct 0 ms 340 KB Output is correct
46 Correct 0 ms 340 KB Output is correct
47 Correct 0 ms 340 KB Output is correct
48 Correct 0 ms 340 KB Output is correct
49 Correct 0 ms 340 KB Output is correct
50 Correct 0 ms 340 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 0 ms 340 KB Output is correct
53 Correct 1 ms 464 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 0 ms 340 KB Output is correct
56 Correct 1 ms 264 KB Output is correct
57 Correct 0 ms 340 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 0 ms 340 KB Output is correct
60 Correct 0 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 2 ms 468 KB Output is correct
64 Correct 1 ms 468 KB Output is correct
65 Correct 2 ms 852 KB Output is correct
66 Correct 3 ms 852 KB Output is correct
67 Correct 5 ms 1108 KB Output is correct
68 Correct 5 ms 1108 KB Output is correct
69 Correct 6 ms 1620 KB Output is correct
70 Correct 7 ms 1620 KB Output is correct
71 Correct 10 ms 2388 KB Output is correct
72 Correct 7 ms 2388 KB Output is correct
73 Correct 3 ms 1108 KB Output is correct
74 Correct 6 ms 1108 KB Output is correct
75 Correct 5 ms 1108 KB Output is correct
76 Correct 4 ms 1108 KB Output is correct
77 Correct 5 ms 1108 KB Output is correct
78 Correct 4 ms 1108 KB Output is correct
79 Correct 6 ms 1220 KB Output is correct
80 Correct 6 ms 1112 KB Output is correct
81 Correct 1952 ms 247372 KB Output is correct
82 Correct 1782 ms 247500 KB Output is correct
83 Correct 1704 ms 247400 KB Output is correct
84 Correct 1334 ms 247400 KB Output is correct
85 Correct 1164 ms 247308 KB Output is correct
86 Correct 1885 ms 247404 KB Output is correct
87 Correct 938 ms 247400 KB Output is correct
88 Correct 12 ms 2900 KB Output is correct
89 Correct 14 ms 2900 KB Output is correct
90 Correct 115 ms 16084 KB Output is correct
91 Correct 91 ms 16152 KB Output is correct
92 Correct 487 ms 62584 KB Output is correct
93 Correct 386 ms 62712 KB Output is correct
94 Correct 1157 ms 139672 KB Output is correct
95 Correct 872 ms 139668 KB Output is correct
96 Correct 1557 ms 200584 KB Output is correct
97 Correct 1221 ms 200636 KB Output is correct
98 Correct 812 ms 121804 KB Output is correct
99 Correct 490 ms 121904 KB Output is correct
100 Correct 937 ms 121812 KB Output is correct
101 Correct 912 ms 121812 KB Output is correct
102 Correct 799 ms 121808 KB Output is correct
103 Correct 703 ms 121804 KB Output is correct
104 Correct 1041 ms 121804 KB Output is correct
105 Correct 334 ms 121800 KB Output is correct