oj.uz

Submission #1072951

# Submission time Handle Problem Language Result Execution time Memory
1072951 2024-08-24T07:45:40 Z NeroZein Tricks of the Trade (CEOI23_trade) C++17
55 / 100
 3671 ms 42852 KB 
#include "bits/stdc++.h"
using namespace std;

#ifdef Nero
#include "Deb.h"
#else
#define debug(...)
#endif

const int N = 250003;

int n, k;
int cl, cr;
bool ok[N];
long long s2; 
int c[N], s[N];
long long dp[N];
long long pref[N]; 
multiset<int> se, se2;
vector<int> to_add[N], to_rem[N];

void balance() {
  if ((int) se2.size() > k) {
    int mn = *se2.begin();
    s2 -= mn;
    se.insert(mn); 
    se2.erase(se2.begin());
  }
  if ((int) se2.size() < k && !se.empty()) {
    int mx = *se.rbegin();
    s2 += mx; 
    se2.insert(mx); 
    se.erase(se.find(mx));
  }
}

void add(int ind) {
  se2.insert(s[ind]);
  s2 += s[ind];
  balance();
}

void rem(int ind) {
  if (se2.count(s[ind])) {
    s2 -= s[ind];
    se2.erase(se2.find(s[ind]));
  } else {
    se.erase(se.find(s[ind]));
  }
  balance(); 
}

void edit(int l, int r) {
  while (cl > l) add(--cl);
  while (cr < r) add(++cr);
  while (cl < l) rem(cl++);
  while (cr > r) rem(cr--);
}

long long solve(int l, int r, int optl, int optr) {
  if (l > r) {
    return -LLONG_MAX;
  }
  int mid = (l + r) >> 1;
  long long ret = -LLONG_MAX;
  int opt = -1; 
  for (int i = min(mid, optr); i >= optl; --i) {
    edit(i, mid);
    if ((int) se2.size() == k) {
      long long val = pref[mid] - pref[i - 1] + s2;
      if (val > ret) {
        ret = val;
        opt = i;
      }
    }
  }
  dp[mid] = ret;
  ret = max(ret, solve(l, mid - 1, optl, opt));
  ret = max(ret, solve(mid + 1, r, opt, optr));
  return ret; 
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  cin >> n >> k;
  for (int i = 1; i <= n; ++i) {
    cin >> c[i]; 
    pref[i] = pref[i - 1] - c[i];
  }
  for (int i = 1; i <= n; ++i) {
    cin >> s[i];
  }
  cl = 1, cr = 0;
  long long ans = solve(k, n, 1, n);
  for (int i = n, j = n; i >= 1; --i) {
    if (dp[i] != ans) {
      continue; 
    }
    //debug(i, j);
    //debug(i, j);
    if (j > i) j = i; 
    int f = 0;
    while (j > 0) {
      edit(j, i);
      if (dp[j] == ans && (j < i || k == 1)) {
        f |= 2;
      }
      long long val = pref[i] - pref[j - 1] + s2;
      if (val == ans && (int) se2.size() == k) {  
        int mn = *se2.begin();
        to_add[j].push_back(mn);
        to_rem[i].push_back(mn);
        f |= 1;
      }
      if (f == 3) {
        break;
      }
      --j;
    }
  }
  multiset<int> ss;
  for (int i = 1; i <= n; ++i) {
    for (int j : to_add[i]) {
      ss.insert(j);
    }
    if (!ss.empty() && *ss.begin() <= s[i]) {
      ok[i] = true;
    }
    for (int j : to_rem[i]) {
      ss.erase(ss.find(j));
    }
  }
  cout << ans << '\n';
  for (int i = 1; i <= n; ++i) {
    cout << ok[i];
  }
  return 0;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12204 KB Output is correct
2 Correct 5 ms 12124 KB Output is correct

Subtask #1
5.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12124 KB Output is correct
2 Correct 6 ms 12124 KB Output is correct
3 Correct 6 ms 12208 KB Output is correct
4 Correct 5 ms 12124 KB Output is correct
5 Correct 4 ms 12016 KB Output is correct
6 Partially correct 6 ms 12124 KB Partially correct
7 Partially correct 6 ms 12124 KB Partially correct
8 Partially correct 6 ms 12124 KB Partially correct
9 Correct 7 ms 12208 KB Output is correct
10 Correct 8 ms 12124 KB Output is correct
11 Partially correct 8 ms 12124 KB Partially correct

Subtask #2
5.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12124 KB Output is correct
2 Correct 6 ms 12124 KB Output is correct
3 Correct 6 ms 12208 KB Output is correct
4 Correct 5 ms 12124 KB Output is correct
5 Correct 4 ms 12016 KB Output is correct
6 Partially correct 6 ms 12124 KB Partially correct
7 Partially correct 6 ms 12124 KB Partially correct
8 Partially correct 6 ms 12124 KB Partially correct
9 Correct 7 ms 12208 KB Output is correct
10 Correct 8 ms 12124 KB Output is correct
11 Partially correct 8 ms 12124 KB Partially correct
12 Correct 7 ms 12120 KB Output is correct
13 Correct 5 ms 12124 KB Output is correct
14 Correct 5 ms 12124 KB Output is correct
15 Correct 5 ms 12120 KB Output is correct
16 Correct 8 ms 12204 KB Output is correct
17 Partially correct 6 ms 12120 KB Partially correct
18 Partially correct 6 ms 12124 KB Partially correct
19 Partially correct 8 ms 12124 KB Partially correct
20 Correct 7 ms 12124 KB Output is correct
21 Correct 6 ms 12168 KB Output is correct
22 Partially correct 5 ms 12124 KB Partially correct
23 Correct 12 ms 12560 KB Output is correct
24 Partially correct 21 ms 12632 KB Partially correct
25 Partially correct 33 ms 12564 KB Partially correct
26 Partially correct 26 ms 12636 KB Partially correct
27 Partially correct 24 ms 12636 KB Partially correct
28 Correct 17 ms 12632 KB Output is correct
29 Correct 30 ms 12608 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12124 KB Output is correct
2 Correct 552 ms 27364 KB Output is correct
3 Correct 846 ms 31824 KB Output is correct
4 Correct 972 ms 33040 KB Output is correct
5 Correct 976 ms 28860 KB Output is correct
6 Correct 868 ms 26840 KB Output is correct
7 Correct 2164 ms 42616 KB Output is correct
8 Correct 838 ms 30188 KB Output is correct
9 Correct 776 ms 25500 KB Output is correct
10 Correct 758 ms 26452 KB Output is correct

Subtask #4
10.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12124 KB Output is correct
2 Correct 552 ms 27364 KB Output is correct
3 Correct 846 ms 31824 KB Output is correct
4 Correct 972 ms 33040 KB Output is correct
5 Correct 976 ms 28860 KB Output is correct
6 Correct 868 ms 26840 KB Output is correct
7 Correct 2164 ms 42616 KB Output is correct
8 Correct 838 ms 30188 KB Output is correct
9 Correct 776 ms 25500 KB Output is correct
10 Correct 758 ms 26452 KB Output is correct
11 Correct 5 ms 12124 KB Output is correct
12 Correct 488 ms 27308 KB Output is correct
13 Correct 793 ms 31824 KB Output is correct
14 Correct 876 ms 33108 KB Output is correct
15 Correct 946 ms 28752 KB Output is correct
16 Correct 860 ms 26964 KB Output is correct
17 Correct 2109 ms 42524 KB Output is correct
18 Correct 810 ms 29904 KB Output is correct
19 Correct 744 ms 25488 KB Output is correct
20 Correct 694 ms 26448 KB Output is correct
21 Correct 6 ms 12124 KB Output is correct
22 Correct 5 ms 12124 KB Output is correct
23 Correct 6 ms 12084 KB Output is correct
24 Correct 5 ms 12120 KB Output is correct
25 Partially correct 5 ms 12124 KB Partially correct
26 Partially correct 5 ms 12124 KB Partially correct
27 Partially correct 5 ms 12124 KB Partially correct
28 Correct 5 ms 12124 KB Output is correct
29 Correct 6 ms 12124 KB Output is correct
30 Partially correct 5 ms 12180 KB Partially correct
31 Correct 1376 ms 32596 KB Output is correct
32 Partially correct 963 ms 32796 KB Partially correct
33 Partially correct 1801 ms 32440 KB Partially correct
34 Partially correct 1743 ms 32252 KB Partially correct
35 Partially correct 1570 ms 32116 KB Partially correct
36 Correct 2414 ms 31528 KB Output is correct
37 Partially correct 1006 ms 30800 KB Partially correct

Subtask #5
25.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12204 KB Output is correct
2 Correct 5 ms 12124 KB Output is correct
3 Correct 6 ms 12124 KB Output is correct
4 Correct 6 ms 12124 KB Output is correct
5 Correct 6 ms 12208 KB Output is correct
6 Correct 5 ms 12124 KB Output is correct
7 Correct 4 ms 12016 KB Output is correct
8 Partially correct 6 ms 12124 KB Partially correct
9 Partially correct 6 ms 12124 KB Partially correct
10 Partially correct 6 ms 12124 KB Partially correct
11 Correct 7 ms 12208 KB Output is correct
12 Correct 8 ms 12124 KB Output is correct
13 Partially correct 8 ms 12124 KB Partially correct
14 Correct 7 ms 12120 KB Output is correct
15 Correct 5 ms 12124 KB Output is correct
16 Correct 5 ms 12124 KB Output is correct
17 Correct 5 ms 12120 KB Output is correct
18 Correct 8 ms 12204 KB Output is correct
19 Partially correct 6 ms 12120 KB Partially correct
20 Partially correct 6 ms 12124 KB Partially correct
21 Partially correct 8 ms 12124 KB Partially correct
22 Correct 7 ms 12124 KB Output is correct
23 Correct 6 ms 12168 KB Output is correct
24 Partially correct 5 ms 12124 KB Partially correct
25 Correct 12 ms 12560 KB Output is correct
26 Partially correct 21 ms 12632 KB Partially correct
27 Partially correct 33 ms 12564 KB Partially correct
28 Partially correct 26 ms 12636 KB Partially correct
29 Partially correct 24 ms 12636 KB Partially correct
30 Correct 17 ms 12632 KB Output is correct
31 Correct 30 ms 12608 KB Output is correct
32 Correct 6 ms 12124 KB Output is correct
33 Correct 552 ms 27364 KB Output is correct
34 Correct 846 ms 31824 KB Output is correct
35 Correct 972 ms 33040 KB Output is correct
36 Correct 976 ms 28860 KB Output is correct
37 Correct 868 ms 26840 KB Output is correct
38 Correct 2164 ms 42616 KB Output is correct
39 Correct 838 ms 30188 KB Output is correct
40 Correct 776 ms 25500 KB Output is correct
41 Correct 758 ms 26452 KB Output is correct
42 Correct 5 ms 12124 KB Output is correct
43 Correct 488 ms 27308 KB Output is correct
44 Correct 793 ms 31824 KB Output is correct
45 Correct 876 ms 33108 KB Output is correct
46 Correct 946 ms 28752 KB Output is correct
47 Correct 860 ms 26964 KB Output is correct
48 Correct 2109 ms 42524 KB Output is correct
49 Correct 810 ms 29904 KB Output is correct
50 Correct 744 ms 25488 KB Output is correct
51 Correct 694 ms 26448 KB Output is correct
52 Correct 6 ms 12124 KB Output is correct
53 Correct 5 ms 12124 KB Output is correct
54 Correct 6 ms 12084 KB Output is correct
55 Correct 5 ms 12120 KB Output is correct
56 Partially correct 5 ms 12124 KB Partially correct
57 Partially correct 5 ms 12124 KB Partially correct
58 Partially correct 5 ms 12124 KB Partially correct
59 Correct 5 ms 12124 KB Output is correct
60 Correct 6 ms 12124 KB Output is correct
61 Partially correct 5 ms 12180 KB Partially correct
62 Correct 1376 ms 32596 KB Output is correct
63 Partially correct 963 ms 32796 KB Partially correct
64 Partially correct 1801 ms 32440 KB Partially correct
65 Partially correct 1743 ms 32252 KB Partially correct
66 Partially correct 1570 ms 32116 KB Partially correct
67 Correct 2414 ms 31528 KB Output is correct
68 Partially correct 1006 ms 30800 KB Partially correct
69 Correct 7 ms 12120 KB Output is correct
70 Correct 494 ms 27476 KB Output is correct
71 Correct 798 ms 31944 KB Output is correct
72 Correct 886 ms 32952 KB Output is correct
73 Correct 956 ms 28848 KB Output is correct
74 Correct 836 ms 26964 KB Output is correct
75 Correct 2194 ms 42852 KB Output is correct
76 Correct 834 ms 30132 KB Output is correct
77 Correct 776 ms 25684 KB Output is correct
78 Correct 697 ms 26448 KB Output is correct
79 Correct 5 ms 12120 KB Output is correct
80 Correct 6 ms 12124 KB Output is correct
81 Correct 5 ms 12124 KB Output is correct
82 Correct 6 ms 12016 KB Output is correct
83 Partially correct 6 ms 12124 KB Partially correct
84 Partially correct 6 ms 12120 KB Partially correct
85 Partially correct 5 ms 12124 KB Partially correct
86 Correct 6 ms 12048 KB Output is correct
87 Correct 6 ms 12124 KB Output is correct
88 Partially correct 5 ms 12124 KB Partially correct
89 Correct 1368 ms 32636 KB Output is correct
90 Partially correct 909 ms 32800 KB Partially correct
91 Partially correct 1657 ms 32592 KB Partially correct
92 Partially correct 1640 ms 32336 KB Partially correct
93 Partially correct 1544 ms 32292 KB Partially correct
94 Correct 2490 ms 31568 KB Output is correct
95 Partially correct 1000 ms 30788 KB Partially correct
96 Correct 11 ms 12632 KB Output is correct
97 Partially correct 24 ms 12544 KB Partially correct
98 Partially correct 33 ms 12624 KB Partially correct
99 Partially correct 27 ms 12628 KB Partially correct
100 Partially correct 27 ms 12636 KB Partially correct
101 Correct 15 ms 12636 KB Output is correct
102 Correct 28 ms 12636 KB Output is correct
103 Correct 3437 ms 33876 KB Output is correct
104 Partially correct 1803 ms 32324 KB Partially correct
105 Partially correct 1818 ms 32336 KB Partially correct
106 Partially correct 2579 ms 32304 KB Partially correct
107 Partially correct 2600 ms 30688 KB Partially correct
108 Partially correct 3671 ms 31452 KB Partially correct
109 Partially correct 1964 ms 33232 KB Partially correct
110 Correct 2936 ms 37836 KB Output is correct
111 Correct 1035 ms 29520 KB Output is correct
112 Partially correct 2337 ms 33108 KB Partially correct