oj.uz

Submission #678482

# Submission time Handle Problem Language Result Execution time Memory
678482 2023-01-06T04:42:24 Z cig32 Let's Win the Election (JOI22_ho_t3) C++17
100 / 100
 2056 ms 247404 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);
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 9 ms 2900 KB Output is correct
6 Correct 49 ms 16084 KB Output is correct
7 Correct 186 ms 62592 KB Output is correct
8 Correct 411 ms 139668 KB Output is correct
9 Correct 603 ms 247400 KB Output is correct
10 Correct 341 ms 121804 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 9 ms 2900 KB Output is correct
6 Correct 49 ms 16084 KB Output is correct
7 Correct 186 ms 62592 KB Output is correct
8 Correct 411 ms 139668 KB Output is correct
9 Correct 603 ms 247400 KB Output is correct
10 Correct 341 ms 121804 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 87 ms 22944 KB Output is correct
13 Correct 200 ms 22992 KB Output is correct
14 Correct 185 ms 22996 KB Output is correct
15 Correct 401 ms 121808 KB Output is correct
16 Correct 998 ms 121812 KB Output is correct
17 Correct 788 ms 121800 KB Output is correct
18 Correct 712 ms 247404 KB Output is correct
19 Correct 1789 ms 247404 KB Output is correct
20 Correct 1229 ms 247392 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 212 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 328 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 212 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 212 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 328 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 336 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 328 KB Output is correct
22 Correct 1 ms 328 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 340 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 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 1 ms 340 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 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 212 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 328 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 336 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 328 KB Output is correct
22 Correct 1 ms 328 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 340 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 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 1 ms 340 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 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 336 KB Output is correct
42 Correct 1 ms 332 KB Output is correct
43 Correct 2 ms 460 KB Output is correct
44 Correct 2 ms 460 KB Output is correct
45 Correct 4 ms 848 KB Output is correct
46 Correct 5 ms 852 KB Output is correct
47 Correct 7 ms 1108 KB Output is correct
48 Correct 5 ms 1224 KB Output is correct
49 Correct 8 ms 1660 KB Output is correct
50 Correct 10 ms 1608 KB Output is correct
51 Correct 10 ms 2388 KB Output is correct
52 Correct 9 ms 2388 KB Output is correct
53 Correct 4 ms 1108 KB Output is correct
54 Correct 5 ms 1156 KB Output is correct
55 Correct 5 ms 1108 KB Output is correct
56 Correct 4 ms 1096 KB Output is correct
57 Correct 6 ms 1228 KB Output is correct
58 Correct 4 ms 1108 KB Output is correct
59 Correct 5 ms 1108 KB Output is correct
60 Correct 6 ms 1224 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2037 ms 247340 KB Output is correct
2 Correct 2039 ms 247400 KB Output is correct
3 Correct 2007 ms 247352 KB Output is correct
4 Correct 1483 ms 247396 KB Output is correct
5 Correct 1405 ms 247396 KB Output is correct
6 Correct 2056 ms 247400 KB Output is correct
7 Correct 1139 ms 247404 KB Output is correct

Subtask #7
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 9 ms 2900 KB Output is correct
6 Correct 49 ms 16084 KB Output is correct
7 Correct 186 ms 62592 KB Output is correct
8 Correct 411 ms 139668 KB Output is correct
9 Correct 603 ms 247400 KB Output is correct
10 Correct 341 ms 121804 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 87 ms 22944 KB Output is correct
13 Correct 200 ms 22992 KB Output is correct
14 Correct 185 ms 22996 KB Output is correct
15 Correct 401 ms 121808 KB Output is correct
16 Correct 998 ms 121812 KB Output is correct
17 Correct 788 ms 121800 KB Output is correct
18 Correct 712 ms 247404 KB Output is correct
19 Correct 1789 ms 247404 KB Output is correct
20 Correct 1229 ms 247392 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 328 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 2 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 336 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 328 KB Output is correct
42 Correct 1 ms 328 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 340 KB Output is correct
46 Correct 1 ms 336 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 332 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 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 336 KB Output is correct
62 Correct 1 ms 332 KB Output is correct
63 Correct 2 ms 460 KB Output is correct
64 Correct 2 ms 460 KB Output is correct
65 Correct 4 ms 848 KB Output is correct
66 Correct 5 ms 852 KB Output is correct
67 Correct 7 ms 1108 KB Output is correct
68 Correct 5 ms 1224 KB Output is correct
69 Correct 8 ms 1660 KB Output is correct
70 Correct 10 ms 1608 KB Output is correct
71 Correct 10 ms 2388 KB Output is correct
72 Correct 9 ms 2388 KB Output is correct
73 Correct 4 ms 1108 KB Output is correct
74 Correct 5 ms 1156 KB Output is correct
75 Correct 5 ms 1108 KB Output is correct
76 Correct 4 ms 1096 KB Output is correct
77 Correct 6 ms 1228 KB Output is correct
78 Correct 4 ms 1108 KB Output is correct
79 Correct 5 ms 1108 KB Output is correct
80 Correct 6 ms 1224 KB Output is correct
81 Correct 2037 ms 247340 KB Output is correct
82 Correct 2039 ms 247400 KB Output is correct
83 Correct 2007 ms 247352 KB Output is correct
84 Correct 1483 ms 247396 KB Output is correct
85 Correct 1405 ms 247396 KB Output is correct
86 Correct 2056 ms 247400 KB Output is correct
87 Correct 1139 ms 247404 KB Output is correct
88 Correct 13 ms 2900 KB Output is correct
89 Correct 14 ms 2900 KB Output is correct
90 Correct 120 ms 16140 KB Output is correct
91 Correct 102 ms 16136 KB Output is correct
92 Correct 597 ms 62532 KB Output is correct
93 Correct 436 ms 62588 KB Output is correct
94 Correct 1199 ms 139600 KB Output is correct
95 Correct 962 ms 139664 KB Output is correct
96 Correct 1609 ms 200632 KB Output is correct
97 Correct 1222 ms 200632 KB Output is correct
98 Correct 887 ms 121808 KB Output is correct
99 Correct 514 ms 121800 KB Output is correct
100 Correct 955 ms 121804 KB Output is correct
101 Correct 959 ms 121808 KB Output is correct
102 Correct 835 ms 121808 KB Output is correct
103 Correct 755 ms 121804 KB Output is correct
104 Correct 1006 ms 121804 KB Output is correct
105 Correct 376 ms 121760 KB Output is correct