oj.uz

Submission #882809

# Submission time Handle Problem Language Result Execution time Memory
882809 2023-12-03T18:18:49 Z MilosMilutinovic Chorus (JOI23_chorus) C++14
87 / 100
 7000 ms 61248 KB 
#include <bits/stdc++.h>
 
using namespace std;

struct line {
  long long k, n;
  int f;
  void init() {
    k = 0;
    n = (long long) 1e18;
    f = 0;
  }
  long long val(long long x) {
    return k * x + n;
  }
};

const int MAX = 5e6;

line li[MAX];
int ls[MAX], rs[MAX], tsz, root;

void Update(int& x, int l, int r, line ln) {
  if (!x) {
    x = ++tsz;
    li[x].init();
  }
  int mid = l + r >> 1;
  if (li[x].val(mid) > ln.val(mid) || (ln.val(mid) == li[x].val(mid) && ln.f < li[x].f)) {
    swap(li[x], ln);
  }
  if (l == r) {
    return;
  }
  if (ln.val(l) < li[x].val(l)) {
    Update(ls[x], l, mid, ln);
  } else {
    Update(rs[x], mid + 1, r, ln);
  }
}

pair<long long, int> Query(int x, int l, int r, int i) {
  if (!x) {
    return make_pair((long long) 1e18, 0);
  }
  if (l == r) {
    return make_pair(li[x].val(i), li[x].f);
  }
  int mid = l + r >> 1;
  if (i <= mid) {
    return min(Query(ls[x], l, mid, i), make_pair(li[x].val(i), li[x].f));
  } else {
    return min(Query(rs[x], mid + 1, r, i), make_pair(li[x].val(i), li[x].f));
  }
}

void clear_seg() {
  while (tsz > 0) {
    ls[tsz] = 0;
    rs[tsz] = 0;
    li[tsz].init();
    tsz -= 1;
  }
  root = 0;
}
 
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, k;
  cin >> n >> k;
  string s;
  cin >> s;
  vector<int> a, b;
  for (int i = 0; i < 2 * n; i++) {
    if (s[i] == 'A') {
      a.push_back(i);
    } else {
      b.push_back(i);
    }
  }
  vector<int> ia(2 * n);
  for (int i = 0; i < n; i++) {
    ia[a[i]] = i + 1;
  }
  vector<long long> pref(2 * n);
  for (int i = 0; i < 2 * n; i++) {
    if (i > 0) {
      pref[i] = pref[i - 1];
    }
    pref[i] += (s[i] == 'A' ? 1 : 0);
  }
  vector<int> ib(2 * n);
  for (int i = 0; i < n; i++) {
    ib[b[i]] = pref[b[i]];
  }
  for (int i = 0; i < n; i++) {
    if (i > 0) {
      pref[i] = pref[i - 1];
    } else {
      pref[i] = 0;
    }
    pref[i] += ib[b[i]];
  }
  auto Solve = [&](long long mid) {
    const long long inf = (long long) 1e18;
    vector<pair<long long, int>> dp(n + 1, {inf, 0});
    dp[0] = {0, 0};
    int ptr = -1;
    multiset<pair<long long, int>> st;
    clear_seg();
    for (int i = 0; i < n; i++) {
      st.insert(dp[i]);
      while (ptr + 1 <= i && ia[a[i]] >= ib[b[ptr + 1]]) {
        ptr += 1;
        line cur;
        cur.k = -ptr;
        cur.n = dp[ptr].first + (ptr == 0 ? 0 : pref[ptr - 1]) + mid;
        cur.f = dp[ptr].second;
        Update(root, 0, n, cur);
        st.erase(st.find(dp[ptr]));
      }
      if (!st.empty()) {
        pair<long long, int> val = *st.begin();
        dp[i + 1] = min(dp[i + 1], {val.first + mid, val.second + 1});
      }
      if (ptr != -1) {
        pair<long long, int> val = Query(root, 0, n, ia[a[i]]);
        dp[i + 1] = min(dp[i + 1], {val.first + ia[a[i]] * 1LL * (ptr + 1) - pref[ptr], val.second + 1});
      }
    }
    return dp[n];
  };
  long long low = 0, high = 1e12, p = 0;
  while (low <= high) {
    long long mid = low + high >> 1;
    pair<long long, int> res = Solve(mid);
    if (res.second <= k) {
      p = mid;
      high = mid - 1;
    } else {
      low = mid + 1;
    }
  }
  pair<long long, int> res = Solve(p);
  cout << res.first - p * k << '\n';
  return 0;
}

Compilation message

chorus.cpp: In function 'void Update(int&, int, int, line)':
chorus.cpp:28:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   28 |   int mid = l + r >> 1;
      |             ~~^~~
chorus.cpp: In function 'std::pair<long long int, int> Query(int, int, int, int)':
chorus.cpp:49:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   49 |   int mid = l + r >> 1;
      |             ~~^~~
chorus.cpp: In function 'int main()':
chorus.cpp:136:25: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  136 |     long long mid = low + high >> 1;
      |                     ~~~~^~~~~~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2520 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2520 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 4 ms 2396 KB Output is correct
19 Correct 4 ms 2396 KB Output is correct
20 Correct 3 ms 2648 KB Output is correct
21 Correct 3 ms 2396 KB Output is correct
22 Correct 3 ms 2396 KB Output is correct
23 Correct 3 ms 2396 KB Output is correct
24 Correct 4 ms 2396 KB Output is correct
25 Correct 4 ms 2396 KB Output is correct
26 Correct 4 ms 2396 KB Output is correct
27 Correct 4 ms 2396 KB Output is correct
28 Correct 4 ms 2392 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2520 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 4 ms 2396 KB Output is correct
19 Correct 4 ms 2396 KB Output is correct
20 Correct 3 ms 2648 KB Output is correct
21 Correct 3 ms 2396 KB Output is correct
22 Correct 3 ms 2396 KB Output is correct
23 Correct 3 ms 2396 KB Output is correct
24 Correct 4 ms 2396 KB Output is correct
25 Correct 4 ms 2396 KB Output is correct
26 Correct 4 ms 2396 KB Output is correct
27 Correct 4 ms 2396 KB Output is correct
28 Correct 4 ms 2392 KB Output is correct
29 Correct 47 ms 4856 KB Output is correct
30 Correct 52 ms 4696 KB Output is correct
31 Correct 52 ms 4892 KB Output is correct
32 Correct 36 ms 4904 KB Output is correct
33 Correct 38 ms 4700 KB Output is correct
34 Correct 40 ms 4928 KB Output is correct
35 Correct 39 ms 4696 KB Output is correct
36 Correct 51 ms 4700 KB Output is correct
37 Correct 47 ms 5152 KB Output is correct
38 Correct 49 ms 4896 KB Output is correct
39 Correct 44 ms 4904 KB Output is correct
40 Correct 44 ms 4888 KB Output is correct
41 Correct 44 ms 4700 KB Output is correct
42 Correct 43 ms 5084 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2520 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 4 ms 2396 KB Output is correct
19 Correct 4 ms 2396 KB Output is correct
20 Correct 3 ms 2648 KB Output is correct
21 Correct 3 ms 2396 KB Output is correct
22 Correct 3 ms 2396 KB Output is correct
23 Correct 3 ms 2396 KB Output is correct
24 Correct 4 ms 2396 KB Output is correct
25 Correct 4 ms 2396 KB Output is correct
26 Correct 4 ms 2396 KB Output is correct
27 Correct 4 ms 2396 KB Output is correct
28 Correct 4 ms 2392 KB Output is correct
29 Correct 47 ms 4856 KB Output is correct
30 Correct 52 ms 4696 KB Output is correct
31 Correct 52 ms 4892 KB Output is correct
32 Correct 36 ms 4904 KB Output is correct
33 Correct 38 ms 4700 KB Output is correct
34 Correct 40 ms 4928 KB Output is correct
35 Correct 39 ms 4696 KB Output is correct
36 Correct 51 ms 4700 KB Output is correct
37 Correct 47 ms 5152 KB Output is correct
38 Correct 49 ms 4896 KB Output is correct
39 Correct 44 ms 4904 KB Output is correct
40 Correct 44 ms 4888 KB Output is correct
41 Correct 44 ms 4700 KB Output is correct
42 Correct 43 ms 5084 KB Output is correct
43 Correct 746 ms 8524 KB Output is correct
44 Correct 1343 ms 10928 KB Output is correct
45 Correct 1300 ms 11068 KB Output is correct
46 Correct 822 ms 10724 KB Output is correct
47 Correct 830 ms 10760 KB Output is correct
48 Correct 1014 ms 13256 KB Output is correct
49 Correct 993 ms 13152 KB Output is correct
50 Correct 1285 ms 10956 KB Output is correct
51 Correct 1299 ms 11068 KB Output is correct
52 Correct 1051 ms 13512 KB Output is correct
53 Correct 1031 ms 13384 KB Output is correct
54 Correct 1237 ms 11584 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2520 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 0 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 0 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct
17 Correct 2 ms 2396 KB Output is correct
18 Correct 4 ms 2396 KB Output is correct
19 Correct 4 ms 2396 KB Output is correct
20 Correct 3 ms 2648 KB Output is correct
21 Correct 3 ms 2396 KB Output is correct
22 Correct 3 ms 2396 KB Output is correct
23 Correct 3 ms 2396 KB Output is correct
24 Correct 4 ms 2396 KB Output is correct
25 Correct 4 ms 2396 KB Output is correct
26 Correct 4 ms 2396 KB Output is correct
27 Correct 4 ms 2396 KB Output is correct
28 Correct 4 ms 2392 KB Output is correct
29 Correct 47 ms 4856 KB Output is correct
30 Correct 52 ms 4696 KB Output is correct
31 Correct 52 ms 4892 KB Output is correct
32 Correct 36 ms 4904 KB Output is correct
33 Correct 38 ms 4700 KB Output is correct
34 Correct 40 ms 4928 KB Output is correct
35 Correct 39 ms 4696 KB Output is correct
36 Correct 51 ms 4700 KB Output is correct
37 Correct 47 ms 5152 KB Output is correct
38 Correct 49 ms 4896 KB Output is correct
39 Correct 44 ms 4904 KB Output is correct
40 Correct 44 ms 4888 KB Output is correct
41 Correct 44 ms 4700 KB Output is correct
42 Correct 43 ms 5084 KB Output is correct
43 Correct 746 ms 8524 KB Output is correct
44 Correct 1343 ms 10928 KB Output is correct
45 Correct 1300 ms 11068 KB Output is correct
46 Correct 822 ms 10724 KB Output is correct
47 Correct 830 ms 10760 KB Output is correct
48 Correct 1014 ms 13256 KB Output is correct
49 Correct 993 ms 13152 KB Output is correct
50 Correct 1285 ms 10956 KB Output is correct
51 Correct 1299 ms 11068 KB Output is correct
52 Correct 1051 ms 13512 KB Output is correct
53 Correct 1031 ms 13384 KB Output is correct
54 Correct 1237 ms 11584 KB Output is correct
55 Execution timed out 7015 ms 61248 KB Time limit exceeded
56 Halted 0 ms 0 KB -