oj.uz

Submission #882812

# Submission time Handle Problem Language Result Execution time Memory
882812 2023-12-03T18:24:24 Z MilosMilutinovic Chorus (JOI23_chorus) C++14
87 / 100
 7000 ms 65808 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;
const long long inf = (long long) 1e18;

int n, ia[MAX], ib[MAX];
long long pref[MAX];
line li[MAX];
int ls[MAX], rs[MAX], tsz, root;
vector<int> a, b;
pair<long long, int> dp[MAX];

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;
}

pair<long long, int> Solve(long long mid) {
  for (int i = 1; i <= n; i++) {
    dp[i] = make_pair(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];
}
 
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int k;
  cin >> n >> k;
  string s;
  cin >> s;
  for (int i = 0; i < 2 * n; i++) {
    if (s[i] == 'A') {
      a.push_back(i);
    } else {
      b.push_back(i);
    }
  }
  for (int i = 0; i < n; i++) {
    ia[a[i]] = i + 1;
  }
  for (int i = 0; i < 2 * n; i++) {
    if (i > 0) {
      pref[i] = pref[i - 1];
    }
    pref[i] += (s[i] == 'A' ? 1 : 0);
  }
  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]];
  }
  long long low = 0, high = 5e11, 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:33:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   33 |   int mid = l + r >> 1;
      |             ~~^~~
chorus.cpp: In function 'std::pair<long long int, int> Query(int, int, int, int)':
chorus.cpp:54:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   54 |   int mid = l + r >> 1;
      |             ~~^~~
chorus.cpp: In function 'int main()':
chorus.cpp:139:25: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  139 |     long long mid = low + high >> 1;
      |                     ~~~~^~~~~~

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 1 ms 8792 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8540 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct
12 Correct 1 ms 8540 KB Output is correct
13 Correct 1 ms 8540 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 1 ms 8540 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 1 ms 8792 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8540 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct
12 Correct 1 ms 8540 KB Output is correct
13 Correct 1 ms 8540 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 1 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
18 Correct 5 ms 8540 KB Output is correct
19 Correct 5 ms 8536 KB Output is correct
20 Correct 4 ms 8540 KB Output is correct
21 Correct 4 ms 8540 KB Output is correct
22 Correct 4 ms 8540 KB Output is correct
23 Correct 5 ms 8704 KB Output is correct
24 Correct 5 ms 8540 KB Output is correct
25 Correct 4 ms 8540 KB Output is correct
26 Correct 4 ms 8540 KB Output is correct
27 Correct 5 ms 8540 KB Output is correct
28 Correct 4 ms 8540 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 1 ms 8792 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8540 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct
12 Correct 1 ms 8540 KB Output is correct
13 Correct 1 ms 8540 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 1 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
18 Correct 5 ms 8540 KB Output is correct
19 Correct 5 ms 8536 KB Output is correct
20 Correct 4 ms 8540 KB Output is correct
21 Correct 4 ms 8540 KB Output is correct
22 Correct 4 ms 8540 KB Output is correct
23 Correct 5 ms 8704 KB Output is correct
24 Correct 5 ms 8540 KB Output is correct
25 Correct 4 ms 8540 KB Output is correct
26 Correct 4 ms 8540 KB Output is correct
27 Correct 5 ms 8540 KB Output is correct
28 Correct 4 ms 8540 KB Output is correct
29 Correct 41 ms 8940 KB Output is correct
30 Correct 50 ms 8948 KB Output is correct
31 Correct 51 ms 8796 KB Output is correct
32 Correct 32 ms 8796 KB Output is correct
33 Correct 33 ms 8796 KB Output is correct
34 Correct 43 ms 9060 KB Output is correct
35 Correct 38 ms 8952 KB Output is correct
36 Correct 51 ms 8956 KB Output is correct
37 Correct 46 ms 8792 KB Output is correct
38 Correct 39 ms 8796 KB Output is correct
39 Correct 44 ms 8792 KB Output is correct
40 Correct 45 ms 9108 KB Output is correct
41 Correct 44 ms 8796 KB Output is correct
42 Correct 39 ms 9048 KB Output is correct

Subtask #4
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 1 ms 8792 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8540 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct
12 Correct 1 ms 8540 KB Output is correct
13 Correct 1 ms 8540 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 1 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
18 Correct 5 ms 8540 KB Output is correct
19 Correct 5 ms 8536 KB Output is correct
20 Correct 4 ms 8540 KB Output is correct
21 Correct 4 ms 8540 KB Output is correct
22 Correct 4 ms 8540 KB Output is correct
23 Correct 5 ms 8704 KB Output is correct
24 Correct 5 ms 8540 KB Output is correct
25 Correct 4 ms 8540 KB Output is correct
26 Correct 4 ms 8540 KB Output is correct
27 Correct 5 ms 8540 KB Output is correct
28 Correct 4 ms 8540 KB Output is correct
29 Correct 41 ms 8940 KB Output is correct
30 Correct 50 ms 8948 KB Output is correct
31 Correct 51 ms 8796 KB Output is correct
32 Correct 32 ms 8796 KB Output is correct
33 Correct 33 ms 8796 KB Output is correct
34 Correct 43 ms 9060 KB Output is correct
35 Correct 38 ms 8952 KB Output is correct
36 Correct 51 ms 8956 KB Output is correct
37 Correct 46 ms 8792 KB Output is correct
38 Correct 39 ms 8796 KB Output is correct
39 Correct 44 ms 8792 KB Output is correct
40 Correct 45 ms 9108 KB Output is correct
41 Correct 44 ms 8796 KB Output is correct
42 Correct 39 ms 9048 KB Output is correct
43 Correct 717 ms 15000 KB Output is correct
44 Correct 1291 ms 20088 KB Output is correct
45 Correct 1300 ms 19868 KB Output is correct
46 Correct 786 ms 15332 KB Output is correct
47 Correct 773 ms 15436 KB Output is correct
48 Correct 993 ms 17624 KB Output is correct
49 Correct 979 ms 17816 KB Output is correct
50 Correct 1231 ms 17644 KB Output is correct
51 Correct 1254 ms 19864 KB Output is correct
52 Correct 961 ms 19996 KB Output is correct
53 Correct 1000 ms 19988 KB Output is correct
54 Correct 1230 ms 20224 KB Output is correct

Subtask #5
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8536 KB Output is correct
2 Correct 1 ms 8540 KB Output is correct
3 Correct 1 ms 8540 KB Output is correct
4 Correct 1 ms 8540 KB Output is correct
5 Correct 2 ms 10588 KB Output is correct
6 Correct 1 ms 8540 KB Output is correct
7 Correct 1 ms 8792 KB Output is correct
8 Correct 1 ms 8540 KB Output is correct
9 Correct 2 ms 8540 KB Output is correct
10 Correct 2 ms 8540 KB Output is correct
11 Correct 1 ms 8540 KB Output is correct
12 Correct 1 ms 8540 KB Output is correct
13 Correct 1 ms 8540 KB Output is correct
14 Correct 2 ms 8540 KB Output is correct
15 Correct 1 ms 8540 KB Output is correct
16 Correct 1 ms 8540 KB Output is correct
17 Correct 2 ms 8540 KB Output is correct
18 Correct 5 ms 8540 KB Output is correct
19 Correct 5 ms 8536 KB Output is correct
20 Correct 4 ms 8540 KB Output is correct
21 Correct 4 ms 8540 KB Output is correct
22 Correct 4 ms 8540 KB Output is correct
23 Correct 5 ms 8704 KB Output is correct
24 Correct 5 ms 8540 KB Output is correct
25 Correct 4 ms 8540 KB Output is correct
26 Correct 4 ms 8540 KB Output is correct
27 Correct 5 ms 8540 KB Output is correct
28 Correct 4 ms 8540 KB Output is correct
29 Correct 41 ms 8940 KB Output is correct
30 Correct 50 ms 8948 KB Output is correct
31 Correct 51 ms 8796 KB Output is correct
32 Correct 32 ms 8796 KB Output is correct
33 Correct 33 ms 8796 KB Output is correct
34 Correct 43 ms 9060 KB Output is correct
35 Correct 38 ms 8952 KB Output is correct
36 Correct 51 ms 8956 KB Output is correct
37 Correct 46 ms 8792 KB Output is correct
38 Correct 39 ms 8796 KB Output is correct
39 Correct 44 ms 8792 KB Output is correct
40 Correct 45 ms 9108 KB Output is correct
41 Correct 44 ms 8796 KB Output is correct
42 Correct 39 ms 9048 KB Output is correct
43 Correct 717 ms 15000 KB Output is correct
44 Correct 1291 ms 20088 KB Output is correct
45 Correct 1300 ms 19868 KB Output is correct
46 Correct 786 ms 15332 KB Output is correct
47 Correct 773 ms 15436 KB Output is correct
48 Correct 993 ms 17624 KB Output is correct
49 Correct 979 ms 17816 KB Output is correct
50 Correct 1231 ms 17644 KB Output is correct
51 Correct 1254 ms 19864 KB Output is correct
52 Correct 961 ms 19996 KB Output is correct
53 Correct 1000 ms 19988 KB Output is correct
54 Correct 1230 ms 20224 KB Output is correct
55 Execution timed out 7054 ms 65808 KB Time limit exceeded
56 Halted 0 ms 0 KB -