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Submission #931455

# Submission time Handle Problem Language Result Execution time Memory
931455 2024-02-21T20:36:11 Z vjudge1 Gym Badges (NOI22_gymbadges) C++17
100 / 100
 382 ms 40252 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long

const int N = 5e5+5, S = 10, inf = LLONG_MAX;

int n, x[N], l[N];
pair<int, int> s[N];
map<int, int> dp[N];

signed main() {
  ios::sync_with_stdio(false); cin.tie(nullptr);

  cin >> n;
  for (int i = 0; i < n; i++) {
    cin >> x[i];
  }
  bool eq = 1;
  for (int i = 0; i < n; i++) {
    cin >> l[i];
    if (l[i] != l[0]) eq = 0;
  }
  for (int i = 0; i < n; i++) {
    s[i] = make_pair(x[i]+l[i], i);
  }
  sort(s, s+n);

  if (eq) {
    int ans = 0;
    int lvl = 0;
    for (int i = 0; i < n; i++) {
      int idx = s[i].second;
      if (lvl <= l[idx]) {
        ans++;
        lvl += x[idx];
      }
    }
    cout << ans << "\n";
  } 
  else {
    dp[0][0] = 0;
    for (int i = 0; i < n; i++) {
      int cnt = 0;

      auto it = dp[i].end();
      while (it != dp[i].begin()) {
        if (cnt++ > S) break;

        --it;
        int j = it->first;
        int k = it->second;

        auto it2 = dp[i+1].find(j);
        if (it2 == dp[i+1].end()) dp[i+1][j] = k;
        else it2->second = min(it2->second, k);

        if (l[s[i].second] >= k) {
          it2 = dp[i+1].find(j+1);
          if (it2 == dp[i+1].end()) dp[i+1][j+1] = k + x[s[i].second];
          else it2->second = min(it2->second, k + x[s[i].second]);
        } 
      }
      dp[i].clear();
    }

    for (int i = n; i >= 0; i--) {
      if (dp[n].find(i) != dp[n].end()) {
        cout << i << "\n";
        break;
      }
    }
  }
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 29276 KB Output is correct
2 Correct 5 ms 29276 KB Output is correct
3 Correct 6 ms 29276 KB Output is correct
4 Correct 6 ms 29272 KB Output is correct
5 Correct 6 ms 29276 KB Output is correct
6 Correct 7 ms 29276 KB Output is correct
7 Correct 5 ms 29272 KB Output is correct
8 Correct 6 ms 29276 KB Output is correct
9 Correct 5 ms 29276 KB Output is correct
10 Correct 5 ms 29272 KB Output is correct
11 Correct 5 ms 29276 KB Output is correct
12 Correct 6 ms 29276 KB Output is correct
13 Correct 6 ms 29312 KB Output is correct
14 Correct 5 ms 29276 KB Output is correct
15 Correct 6 ms 29276 KB Output is correct
16 Correct 5 ms 29276 KB Output is correct
17 Correct 5 ms 29320 KB Output is correct
18 Correct 7 ms 29276 KB Output is correct
19 Correct 7 ms 29532 KB Output is correct
20 Correct 5 ms 29276 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 113 ms 39508 KB Output is correct
2 Correct 124 ms 39572 KB Output is correct
3 Correct 115 ms 39508 KB Output is correct
4 Correct 114 ms 39760 KB Output is correct
5 Correct 117 ms 39508 KB Output is correct
6 Correct 110 ms 39508 KB Output is correct
7 Correct 108 ms 39340 KB Output is correct
8 Correct 113 ms 39552 KB Output is correct
9 Correct 111 ms 39556 KB Output is correct
10 Correct 109 ms 39504 KB Output is correct
11 Correct 113 ms 39548 KB Output is correct
12 Correct 113 ms 39508 KB Output is correct
13 Correct 122 ms 39508 KB Output is correct
14 Correct 115 ms 39508 KB Output is correct
15 Correct 114 ms 39508 KB Output is correct
16 Correct 112 ms 39572 KB Output is correct
17 Correct 121 ms 39736 KB Output is correct
18 Correct 113 ms 39504 KB Output is correct
19 Correct 112 ms 39508 KB Output is correct
20 Correct 112 ms 39508 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 29276 KB Output is correct
2 Correct 5 ms 29276 KB Output is correct
3 Correct 6 ms 29276 KB Output is correct
4 Correct 6 ms 29272 KB Output is correct
5 Correct 6 ms 29276 KB Output is correct
6 Correct 7 ms 29276 KB Output is correct
7 Correct 5 ms 29272 KB Output is correct
8 Correct 6 ms 29276 KB Output is correct
9 Correct 5 ms 29276 KB Output is correct
10 Correct 5 ms 29272 KB Output is correct
11 Correct 5 ms 29276 KB Output is correct
12 Correct 6 ms 29276 KB Output is correct
13 Correct 6 ms 29312 KB Output is correct
14 Correct 5 ms 29276 KB Output is correct
15 Correct 6 ms 29276 KB Output is correct
16 Correct 5 ms 29276 KB Output is correct
17 Correct 5 ms 29320 KB Output is correct
18 Correct 7 ms 29276 KB Output is correct
19 Correct 7 ms 29532 KB Output is correct
20 Correct 5 ms 29276 KB Output is correct
21 Correct 11 ms 29528 KB Output is correct
22 Correct 10 ms 29528 KB Output is correct
23 Correct 9 ms 29276 KB Output is correct
24 Correct 9 ms 29276 KB Output is correct
25 Correct 9 ms 29272 KB Output is correct
26 Correct 9 ms 29276 KB Output is correct
27 Correct 9 ms 29312 KB Output is correct
28 Correct 9 ms 29276 KB Output is correct
29 Correct 9 ms 29272 KB Output is correct
30 Correct 9 ms 29276 KB Output is correct
31 Correct 9 ms 29276 KB Output is correct
32 Correct 9 ms 29276 KB Output is correct
33 Correct 10 ms 29276 KB Output is correct
34 Correct 10 ms 29276 KB Output is correct
35 Correct 9 ms 29276 KB Output is correct
36 Correct 9 ms 29276 KB Output is correct
37 Correct 10 ms 29276 KB Output is correct
38 Correct 9 ms 29276 KB Output is correct
39 Correct 10 ms 29368 KB Output is correct
40 Correct 9 ms 29272 KB Output is correct
41 Correct 9 ms 29272 KB Output is correct
42 Correct 9 ms 29276 KB Output is correct
43 Correct 9 ms 29276 KB Output is correct
44 Correct 9 ms 29276 KB Output is correct
45 Correct 10 ms 29276 KB Output is correct
46 Correct 9 ms 29276 KB Output is correct
47 Correct 9 ms 29276 KB Output is correct
48 Correct 9 ms 29360 KB Output is correct
49 Correct 9 ms 29276 KB Output is correct
50 Correct 9 ms 29356 KB Output is correct

Subtask #4
49.0 / 49.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 29276 KB Output is correct
2 Correct 5 ms 29276 KB Output is correct
3 Correct 6 ms 29276 KB Output is correct
4 Correct 6 ms 29272 KB Output is correct
5 Correct 6 ms 29276 KB Output is correct
6 Correct 7 ms 29276 KB Output is correct
7 Correct 5 ms 29272 KB Output is correct
8 Correct 6 ms 29276 KB Output is correct
9 Correct 5 ms 29276 KB Output is correct
10 Correct 5 ms 29272 KB Output is correct
11 Correct 5 ms 29276 KB Output is correct
12 Correct 6 ms 29276 KB Output is correct
13 Correct 6 ms 29312 KB Output is correct
14 Correct 5 ms 29276 KB Output is correct
15 Correct 6 ms 29276 KB Output is correct
16 Correct 5 ms 29276 KB Output is correct
17 Correct 5 ms 29320 KB Output is correct
18 Correct 7 ms 29276 KB Output is correct
19 Correct 7 ms 29532 KB Output is correct
20 Correct 5 ms 29276 KB Output is correct
21 Correct 113 ms 39508 KB Output is correct
22 Correct 124 ms 39572 KB Output is correct
23 Correct 115 ms 39508 KB Output is correct
24 Correct 114 ms 39760 KB Output is correct
25 Correct 117 ms 39508 KB Output is correct
26 Correct 110 ms 39508 KB Output is correct
27 Correct 108 ms 39340 KB Output is correct
28 Correct 113 ms 39552 KB Output is correct
29 Correct 111 ms 39556 KB Output is correct
30 Correct 109 ms 39504 KB Output is correct
31 Correct 113 ms 39548 KB Output is correct
32 Correct 113 ms 39508 KB Output is correct
33 Correct 122 ms 39508 KB Output is correct
34 Correct 115 ms 39508 KB Output is correct
35 Correct 114 ms 39508 KB Output is correct
36 Correct 112 ms 39572 KB Output is correct
37 Correct 121 ms 39736 KB Output is correct
38 Correct 113 ms 39504 KB Output is correct
39 Correct 112 ms 39508 KB Output is correct
40 Correct 112 ms 39508 KB Output is correct
41 Correct 11 ms 29528 KB Output is correct
42 Correct 10 ms 29528 KB Output is correct
43 Correct 9 ms 29276 KB Output is correct
44 Correct 9 ms 29276 KB Output is correct
45 Correct 9 ms 29272 KB Output is correct
46 Correct 9 ms 29276 KB Output is correct
47 Correct 9 ms 29312 KB Output is correct
48 Correct 9 ms 29276 KB Output is correct
49 Correct 9 ms 29272 KB Output is correct
50 Correct 9 ms 29276 KB Output is correct
51 Correct 9 ms 29276 KB Output is correct
52 Correct 9 ms 29276 KB Output is correct
53 Correct 10 ms 29276 KB Output is correct
54 Correct 10 ms 29276 KB Output is correct
55 Correct 9 ms 29276 KB Output is correct
56 Correct 9 ms 29276 KB Output is correct
57 Correct 10 ms 29276 KB Output is correct
58 Correct 9 ms 29276 KB Output is correct
59 Correct 10 ms 29368 KB Output is correct
60 Correct 9 ms 29272 KB Output is correct
61 Correct 9 ms 29272 KB Output is correct
62 Correct 9 ms 29276 KB Output is correct
63 Correct 9 ms 29276 KB Output is correct
64 Correct 9 ms 29276 KB Output is correct
65 Correct 10 ms 29276 KB Output is correct
66 Correct 9 ms 29276 KB Output is correct
67 Correct 9 ms 29276 KB Output is correct
68 Correct 9 ms 29360 KB Output is correct
69 Correct 9 ms 29276 KB Output is correct
70 Correct 9 ms 29356 KB Output is correct
71 Correct 6 ms 29272 KB Output is correct
72 Correct 5 ms 29276 KB Output is correct
73 Correct 318 ms 39572 KB Output is correct
74 Correct 318 ms 39392 KB Output is correct
75 Correct 317 ms 39452 KB Output is correct
76 Correct 319 ms 39764 KB Output is correct
77 Correct 320 ms 39824 KB Output is correct
78 Correct 347 ms 39572 KB Output is correct
79 Correct 342 ms 39504 KB Output is correct
80 Correct 332 ms 39568 KB Output is correct
81 Correct 329 ms 39596 KB Output is correct
82 Correct 330 ms 39568 KB Output is correct
83 Correct 348 ms 39568 KB Output is correct
84 Correct 349 ms 39760 KB Output is correct
85 Correct 356 ms 39504 KB Output is correct
86 Correct 350 ms 39576 KB Output is correct
87 Correct 344 ms 39560 KB Output is correct
88 Correct 364 ms 39760 KB Output is correct
89 Correct 356 ms 39508 KB Output is correct
90 Correct 361 ms 39596 KB Output is correct
91 Correct 353 ms 39504 KB Output is correct
92 Correct 367 ms 39764 KB Output is correct
93 Correct 354 ms 39560 KB Output is correct
94 Correct 377 ms 39568 KB Output is correct
95 Correct 365 ms 39524 KB Output is correct
96 Correct 367 ms 39336 KB Output is correct
97 Correct 356 ms 39568 KB Output is correct
98 Correct 322 ms 39508 KB Output is correct
99 Correct 322 ms 40252 KB Output is correct
100 Correct 335 ms 39508 KB Output is correct
101 Correct 382 ms 39600 KB Output is correct
102 Correct 359 ms 39572 KB Output is correct