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Submission #475838

# Submission time Handle Problem Language Result Execution time Memory
475838 2021-09-24T08:40:48 Z vishnu_sujith Knapsack (NOI18_knapsack) C++17
100 / 100
 438 ms 35268 KB 
#include <bits/stdc++.h>

using namespace std;

#ifdef DEBUG
#define LOG(...) cerr << "[" << #__VA_ARGS__ << "]: " << repr(__VA_ARGS__) << endl;
#define MSG(args) cerr << args << "\n";
#define debug(x) x
#else
#define LOG(...)
#define MSG(args)
#define debug(x)
#endif

#define mp make_pair
#define pb push_back
#define sz(x) (int((x).size()))
#define ms(x, v) memset((x), v, sizeof(x))
#define all(x) (x).begin(), (x).end()
#define endl '\n'

using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using vi = vector<int>;
using vii = vector<pii>;
using vvi = vector<vi>;

int S, n;
map<int, vii> mpp;
ll memo[2001][2001];

ll solve(int cur, int rem) {
  if (cur > S || rem <= 0) return 0LL;
  else if (memo[cur][rem] != -1) return memo[cur][rem];

  ll now = 0, value = 0;
  ll res = solve(cur + 1, rem);
  for (auto [v, k] : mpp[cur]) {
    while (k--) {
      now += cur;
      value += v;
      if (now > rem)
        break;
      res = max(res, solve(cur + 1, rem - now) + value);
    }

    if (now > rem)
      break;
  }
  return memo[cur][rem] = res;
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);

  ms(memo, 0xff);

  cin >> S >> n;
  for (int i = 0; i < n; ++i) {
    int v, w, k; cin >> v >> w >> k;
    if (w <= S) {
      mpp[w].pb({v, k});
    }
  }

  for (int i = 1; i <= S; ++i)
    sort(all(mpp[i]), greater<pii>());

  cout << solve(1, S) << endl;

  
  return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 31804 KB Output is correct
2 Correct 16 ms 31772 KB Output is correct
3 Correct 20 ms 31820 KB Output is correct
4 Correct 12 ms 31804 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 31636 KB Output is correct
2 Correct 26 ms 32032 KB Output is correct
3 Correct 25 ms 32020 KB Output is correct
4 Correct 13 ms 31948 KB Output is correct
5 Correct 13 ms 31948 KB Output is correct
6 Correct 218 ms 32012 KB Output is correct
7 Correct 232 ms 31972 KB Output is correct
8 Correct 192 ms 31948 KB Output is correct
9 Correct 251 ms 31948 KB Output is correct
10 Correct 240 ms 32068 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 31636 KB Output is correct
2 Correct 26 ms 32032 KB Output is correct
3 Correct 25 ms 32020 KB Output is correct
4 Correct 13 ms 31948 KB Output is correct
5 Correct 13 ms 31948 KB Output is correct
6 Correct 218 ms 32012 KB Output is correct
7 Correct 232 ms 31972 KB Output is correct
8 Correct 192 ms 31948 KB Output is correct
9 Correct 251 ms 31948 KB Output is correct
10 Correct 240 ms 32068 KB Output is correct
11 Correct 12 ms 31564 KB Output is correct
12 Correct 140 ms 32012 KB Output is correct
13 Correct 27 ms 31948 KB Output is correct
14 Correct 16 ms 31960 KB Output is correct
15 Correct 19 ms 31964 KB Output is correct
16 Correct 237 ms 31948 KB Output is correct
17 Correct 219 ms 32016 KB Output is correct
18 Correct 225 ms 32012 KB Output is correct
19 Correct 250 ms 31948 KB Output is correct
20 Correct 255 ms 32012 KB Output is correct

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 31804 KB Output is correct
2 Correct 16 ms 31772 KB Output is correct
3 Correct 20 ms 31820 KB Output is correct
4 Correct 12 ms 31804 KB Output is correct
5 Correct 12 ms 31636 KB Output is correct
6 Correct 26 ms 32032 KB Output is correct
7 Correct 25 ms 32020 KB Output is correct
8 Correct 13 ms 31948 KB Output is correct
9 Correct 13 ms 31948 KB Output is correct
10 Correct 218 ms 32012 KB Output is correct
11 Correct 232 ms 31972 KB Output is correct
12 Correct 192 ms 31948 KB Output is correct
13 Correct 251 ms 31948 KB Output is correct
14 Correct 240 ms 32068 KB Output is correct
15 Correct 12 ms 31564 KB Output is correct
16 Correct 140 ms 32012 KB Output is correct
17 Correct 27 ms 31948 KB Output is correct
18 Correct 16 ms 31960 KB Output is correct
19 Correct 19 ms 31964 KB Output is correct
20 Correct 237 ms 31948 KB Output is correct
21 Correct 219 ms 32016 KB Output is correct
22 Correct 225 ms 32012 KB Output is correct
23 Correct 250 ms 31948 KB Output is correct
24 Correct 255 ms 32012 KB Output is correct
25 Correct 13 ms 31572 KB Output is correct
26 Correct 269 ms 32008 KB Output is correct
27 Correct 25 ms 32028 KB Output is correct
28 Correct 13 ms 31980 KB Output is correct
29 Correct 14 ms 31948 KB Output is correct
30 Correct 249 ms 31996 KB Output is correct
31 Correct 237 ms 31948 KB Output is correct
32 Correct 212 ms 32012 KB Output is correct
33 Correct 238 ms 32012 KB Output is correct
34 Correct 275 ms 32012 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 31804 KB Output is correct
2 Correct 16 ms 31772 KB Output is correct
3 Correct 20 ms 31820 KB Output is correct
4 Correct 12 ms 31804 KB Output is correct
5 Correct 12 ms 31636 KB Output is correct
6 Correct 26 ms 32032 KB Output is correct
7 Correct 25 ms 32020 KB Output is correct
8 Correct 13 ms 31948 KB Output is correct
9 Correct 13 ms 31948 KB Output is correct
10 Correct 218 ms 32012 KB Output is correct
11 Correct 232 ms 31972 KB Output is correct
12 Correct 192 ms 31948 KB Output is correct
13 Correct 251 ms 31948 KB Output is correct
14 Correct 240 ms 32068 KB Output is correct
15 Correct 12 ms 31564 KB Output is correct
16 Correct 140 ms 32012 KB Output is correct
17 Correct 27 ms 31948 KB Output is correct
18 Correct 16 ms 31960 KB Output is correct
19 Correct 19 ms 31964 KB Output is correct
20 Correct 237 ms 31948 KB Output is correct
21 Correct 219 ms 32016 KB Output is correct
22 Correct 225 ms 32012 KB Output is correct
23 Correct 250 ms 31948 KB Output is correct
24 Correct 255 ms 32012 KB Output is correct
25 Correct 13 ms 31572 KB Output is correct
26 Correct 269 ms 32008 KB Output is correct
27 Correct 25 ms 32028 KB Output is correct
28 Correct 13 ms 31980 KB Output is correct
29 Correct 14 ms 31948 KB Output is correct
30 Correct 249 ms 31996 KB Output is correct
31 Correct 237 ms 31948 KB Output is correct
32 Correct 212 ms 32012 KB Output is correct
33 Correct 238 ms 32012 KB Output is correct
34 Correct 275 ms 32012 KB Output is correct
35 Correct 43 ms 32776 KB Output is correct
36 Correct 304 ms 32784 KB Output is correct
37 Correct 296 ms 32808 KB Output is correct
38 Correct 46 ms 32888 KB Output is correct
39 Correct 54 ms 32708 KB Output is correct
40 Correct 428 ms 33392 KB Output is correct
41 Correct 355 ms 34560 KB Output is correct
42 Correct 384 ms 34596 KB Output is correct
43 Correct 377 ms 34608 KB Output is correct
44 Correct 438 ms 34592 KB Output is correct
45 Correct 352 ms 35140 KB Output is correct
46 Correct 63 ms 34668 KB Output is correct
47 Correct 313 ms 35268 KB Output is correct
48 Correct 317 ms 35200 KB Output is correct
49 Correct 67 ms 35012 KB Output is correct
50 Correct 362 ms 34724 KB Output is correct