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Submission #1060793

# Submission time Handle Problem Language Result Execution time Memory
1060793 2024-08-15T22:51:18 Z MilosMilutinovic Tricks of the Trade (CEOI23_trade) C++14
65 / 100
 2089 ms 236300 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 250000;

const int MAX = (int) 1.00001e9;

int root[N * 60], ch[N * 60][2], cnt[N * 60], tsz;
long long sum[N * 60];

void Modify(int& x, int y, int l, int r, int i) {
  x = ++tsz;
  ch[x][0] = ch[y][0];
  ch[x][1] = ch[y][1];
  sum[x] = sum[y] + i;
  cnt[x] = cnt[y] + 1;
  if (l == r) {
    return;
  }
  int mid = (l + r) >> 1;
  if (i <= mid) {
    Modify(ch[x][0], ch[y][0], l, mid, i);
  } else {
    Modify(ch[x][1], ch[y][1], mid + 1, r, i);
  }
}

int Walk(int x, int y, int l, int r, int k) {
  if (l == r) {
    return l;
  }
  int mid = (l + r) >> 1;
  if (cnt[ch[x][1]] - cnt[ch[y][1]] >= k) {
    return Walk(ch[x][1], ch[y][1], mid + 1, r, k);
  } else {
    return Walk(ch[x][0], ch[y][0], l, mid, k - (cnt[ch[x][1]] - cnt[ch[y][1]]));
  }
}

int QueryCnt(int x, int y, int l, int r, int ll, int rr) {
  if (ll <= l && r <= rr) {
    return cnt[x] - cnt[y];
  }
  int mid = (l + r) >> 1;
  if (rr <= mid) {
    return QueryCnt(ch[x][0], ch[y][0], l, mid, ll, rr);
  } else if (ll > mid) {
    return QueryCnt(ch[x][1], ch[y][1], mid + 1, r, ll, rr);
  } else {
    return QueryCnt(ch[x][0], ch[y][0], l, mid, ll, rr) + QueryCnt(ch[x][1], ch[y][1], mid + 1, r, ll, rr);
  }
}

long long QuerySum(int x, int y, int l, int r, int ll, int rr) {
  if (ll <= l && r <= rr) {
    return sum[x] - sum[y];
  }
  int mid = (l + r) >> 1;
  if (rr <= mid) {
    return QuerySum(ch[x][0], ch[y][0], l, mid, ll, rr);
  } else if (ll > mid) {
    return QuerySum(ch[x][1], ch[y][1], mid + 1, r, ll, rr);
  } else {
    return QuerySum(ch[x][0], ch[y][0], l, mid, ll, rr) + QuerySum(ch[x][1], ch[y][1], mid + 1, r, ll, rr);
  }
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, k;
  cin >> n >> k;
  vector<int> c(n);
  for (int i = 0; i < n; i++) {
    cin >> c[i];
  }
  vector<int> s(n);
  for (int i = 0; i < n; i++) {
    cin >> s[i];
  }
  vector<long long> pref(n);
  for (int i = 0; i < n; i++) {
    pref[i] = (i == 0 ? 0LL : pref[i - 1]) + c[i];
  }
  for (int i = 0; i < n; i++) {
    if (i > 0) {
      root[i] = root[i - 1];
    }
    Modify(root[i], root[i], 0, MAX, s[i]);
  }
  const long long inf = (long long) -1e18;
  long long res = inf;
  int from = -1, to = -1;
  auto Calc = [&](int l, int r) {
    if (r - l + 1 < k) {
      return inf;
    }
    long long ret = -(pref[r] - (l == 0 ? 0LL : pref[l - 1]));
    int el = Walk(root[r], l == 0 ? 0 : root[l - 1], 0, MAX, k);
    int c = QueryCnt(root[r], l == 0 ? 0 : root[l - 1], 0, MAX, el + 1, MAX);
    ret += QuerySum(root[r], l == 0 ? 0 : root[l - 1], 0, MAX, el + 1, MAX);
    ret += el * 1LL * (k - c);
    return ret;
  };
  vector<pair<int, int>> segs;
  function<void(int, int, int, int)> Solve = [&](int l, int r, int optl, int optr) {
    if (l > r) {
      return;
    }
    int mid = (l + r) >> 1;
    int opt = min(optl, mid);
    long long best = Calc(opt, mid);
    for (int i = optl; i <= min(mid, optr); i++) {
      long long v = Calc(i, mid);
      if (v > best) {
        best = v;
        opt = i;
        if (best > res) {
          segs.clear();
          res = best;
          segs.emplace_back(opt, mid);
        } else if (best == res) {
          segs.emplace_back(opt, mid);
        }
      } else if (v == best) {
        if (best > res) {
          segs.clear();
          res = best;
          segs.emplace_back(i, mid);
        } else if (best == res) {
          segs.emplace_back(i, mid);
        }
      }
    }
    Solve(l, mid - 1, optl, opt);
    Solve(mid + 1, r, opt, optr);
  };
  Solve(0, n - 1, 0, n - 1);
  cout << res << '\n';
  vector<int> seq(n, 0);
  vector<vector<int>> qs(n + 1);
  for (auto& p : segs) {
    int l = p.first;
    int r = p.second;
    int el = Walk(root[r], l == 0 ? 0 : root[l - 1], 0, MAX, k);
    qs[l].push_back(el);
    qs[r + 1].push_back(~el);
  }
  multiset<int> st;
  for (int i = 0; i < n; i++) {
    for (int j : qs[i]) {
      if (j >= 0) {
        st.insert(j);
      } else {
        st.erase(st.find(~j));
      }
    }
    if (!st.empty() && s[i] >= *st.begin()) {
      seq[i] = 1;
    }
  }
  for (int i = 0; i < n; i++) {
    cout << seq[i];
  }
  cout << '\n';
  return 0;
}

Compilation message

trade.cpp: In function 'int main()':
trade.cpp:94:7: warning: unused variable 'from' [-Wunused-variable]
   94 |   int from = -1, to = -1;
      |       ^~~~
trade.cpp:94:18: warning: unused variable 'to' [-Wunused-variable]
   94 |   int from = -1, to = -1;
      |                  ^~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 0 ms 604 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 1 ms 604 KB Output is correct
19 Correct 1 ms 616 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 604 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 4 ms 7292 KB Output is correct
24 Correct 31 ms 6252 KB Output is correct
25 Correct 30 ms 6372 KB Output is correct
26 Correct 31 ms 6376 KB Output is correct
27 Correct 24 ms 7380 KB Output is correct
28 Correct 20 ms 6236 KB Output is correct
29 Correct 11 ms 6116 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1090 ms 174068 KB Output is correct
3 Correct 1006 ms 165020 KB Output is correct
4 Correct 1743 ms 165588 KB Output is correct
5 Correct 1962 ms 171724 KB Output is correct
6 Correct 1703 ms 171868 KB Output is correct
7 Correct 2067 ms 179108 KB Output is correct
8 Correct 968 ms 166188 KB Output is correct
9 Correct 1054 ms 166484 KB Output is correct
10 Correct 1057 ms 173316 KB Output is correct

Subtask #4
10.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1090 ms 174068 KB Output is correct
3 Correct 1006 ms 165020 KB Output is correct
4 Correct 1743 ms 165588 KB Output is correct
5 Correct 1962 ms 171724 KB Output is correct
6 Correct 1703 ms 171868 KB Output is correct
7 Correct 2067 ms 179108 KB Output is correct
8 Correct 968 ms 166188 KB Output is correct
9 Correct 1054 ms 166484 KB Output is correct
10 Correct 1057 ms 173316 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1114 ms 176684 KB Output is correct
13 Correct 1012 ms 167764 KB Output is correct
14 Correct 1733 ms 168344 KB Output is correct
15 Correct 2011 ms 172752 KB Output is correct
16 Correct 1810 ms 171892 KB Output is correct
17 Correct 2089 ms 179112 KB Output is correct
18 Correct 971 ms 166312 KB Output is correct
19 Correct 1064 ms 167764 KB Output is correct
20 Correct 1057 ms 173296 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 0 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1016 ms 166228 KB Output is correct
32 Correct 2059 ms 170744 KB Output is correct
33 Correct 1946 ms 175276 KB Output is correct
34 Correct 1715 ms 170152 KB Output is correct
35 Correct 1525 ms 169940 KB Output is correct
36 Partially correct 1697 ms 167832 KB Partially correct
37 Correct 1434 ms 175788 KB Output is correct

Subtask #5
25.0 / 45.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 0 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 604 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 604 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 604 KB Output is correct
18 Correct 0 ms 604 KB Output is correct
19 Correct 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 1 ms 616 KB Output is correct
22 Correct 1 ms 600 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 4 ms 7292 KB Output is correct
26 Correct 31 ms 6252 KB Output is correct
27 Correct 30 ms 6372 KB Output is correct
28 Correct 31 ms 6376 KB Output is correct
29 Correct 24 ms 7380 KB Output is correct
30 Correct 20 ms 6236 KB Output is correct
31 Correct 11 ms 6116 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1090 ms 174068 KB Output is correct
34 Correct 1006 ms 165020 KB Output is correct
35 Correct 1743 ms 165588 KB Output is correct
36 Correct 1962 ms 171724 KB Output is correct
37 Correct 1703 ms 171868 KB Output is correct
38 Correct 2067 ms 179108 KB Output is correct
39 Correct 968 ms 166188 KB Output is correct
40 Correct 1054 ms 166484 KB Output is correct
41 Correct 1057 ms 173316 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1114 ms 176684 KB Output is correct
44 Correct 1012 ms 167764 KB Output is correct
45 Correct 1733 ms 168344 KB Output is correct
46 Correct 2011 ms 172752 KB Output is correct
47 Correct 1810 ms 171892 KB Output is correct
48 Correct 2089 ms 179112 KB Output is correct
49 Correct 971 ms 166312 KB Output is correct
50 Correct 1064 ms 167764 KB Output is correct
51 Correct 1057 ms 173296 KB Output is correct
52 Correct 1 ms 348 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 1 ms 604 KB Output is correct
55 Correct 0 ms 604 KB Output is correct
56 Correct 1 ms 604 KB Output is correct
57 Correct 1 ms 600 KB Output is correct
58 Correct 1 ms 604 KB Output is correct
59 Correct 1 ms 604 KB Output is correct
60 Correct 1 ms 604 KB Output is correct
61 Correct 1 ms 604 KB Output is correct
62 Correct 1016 ms 166228 KB Output is correct
63 Correct 2059 ms 170744 KB Output is correct
64 Correct 1946 ms 175276 KB Output is correct
65 Correct 1715 ms 170152 KB Output is correct
66 Correct 1525 ms 169940 KB Output is correct
67 Partially correct 1697 ms 167832 KB Partially correct
68 Correct 1434 ms 175788 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Correct 1102 ms 175372 KB Output is correct
71 Correct 1024 ms 166152 KB Output is correct
72 Correct 1770 ms 168344 KB Output is correct
73 Correct 1961 ms 172924 KB Output is correct
74 Correct 1727 ms 171888 KB Output is correct
75 Correct 2025 ms 179112 KB Output is correct
76 Correct 982 ms 166228 KB Output is correct
77 Correct 1086 ms 166224 KB Output is correct
78 Correct 1051 ms 173148 KB Output is correct
79 Correct 0 ms 344 KB Output is correct
80 Correct 0 ms 348 KB Output is correct
81 Correct 1 ms 604 KB Output is correct
82 Correct 0 ms 604 KB Output is correct
83 Correct 1 ms 604 KB Output is correct
84 Correct 1 ms 604 KB Output is correct
85 Correct 1 ms 604 KB Output is correct
86 Correct 1 ms 604 KB Output is correct
87 Correct 1 ms 604 KB Output is correct
88 Correct 1 ms 604 KB Output is correct
89 Correct 1018 ms 166196 KB Output is correct
90 Correct 2025 ms 172504 KB Output is correct
91 Correct 1941 ms 173716 KB Output is correct
92 Correct 1700 ms 171472 KB Output is correct
93 Correct 1517 ms 169980 KB Output is correct
94 Partially correct 1693 ms 166204 KB Partially correct
95 Correct 1538 ms 177564 KB Output is correct
96 Correct 4 ms 7124 KB Output is correct
97 Correct 31 ms 6380 KB Output is correct
98 Correct 30 ms 6380 KB Output is correct
99 Correct 31 ms 6396 KB Output is correct
100 Correct 22 ms 7316 KB Output is correct
101 Correct 21 ms 6116 KB Output is correct
102 Correct 12 ms 6236 KB Output is correct
103 Correct 1098 ms 164720 KB Output is correct
104 Correct 1641 ms 167576 KB Output is correct
105 Correct 1703 ms 171332 KB Output is correct
106 Correct 1793 ms 173216 KB Output is correct
107 Correct 172 ms 176292 KB Output is correct
108 Correct 1025 ms 171512 KB Output is correct
109 Correct 1301 ms 236300 KB Output is correct
110 Correct 1255 ms 175352 KB Output is correct
111 Correct 606 ms 166204 KB Output is correct
112 Correct 1514 ms 190748 KB Output is correct