Submission #885639

# Submission time Handle Problem Language Result Execution time Memory
885639 2023-12-10T10:42:06 Z peterandvoi Cake 3 (JOI19_cake3) C++17
100 / 100
449 ms 8988 KB
#include <bits/stdc++.h>

using namespace std;

#define db(...) " [" << #__VA_ARGS__ << " : " << (__VA_ARGS__) << "] "

const int N = 200005;
const int LOG = 17;

#define MASK(x) (1LL << (x))

template<class T>
struct fenwick_tree {
  T s[N];
  
  void update(int i, T x) {
    for (; i <= 200000; i += i & -i) {
      s[i] += x;
    }
  }
  
  T get(int i) {
    T res = 0;
    for (; i > 0; i -= i & -i) {
      res += s[i];
    }
    return res;
  }
  
  T get(int l, int r) {
    return get(r) - get(l - 1);
  }
  
  int lower_bound(T k) {
    int x = 0;
    for (int i = MASK(LOG); i; i >>= 1) {
      if (x + i <= 200000 && k >= s[x + i]) {
        x += i;
        k -= s[x];
      }
    }
    return x;
  }
};

struct T {
  int v, c;
  
  T() {};
  
  T(int v, int c): v(v), c(c) {};
  
  bool operator < (const T &oth) const {
    return c < oth.c;
  }
  
  void read() {
    cin >> v >> c;
  }
} a[N];

int n, m;

int k;
vector<int> values;

int val(int idx) {
  return values[k - idx]; 
}

int L = 1, R = 0;

fenwick_tree<long long> ft;
fenwick_tree<int> num;

long long get() {
  int cnt = m - 2;
  int pos = num.lower_bound(cnt - 1) + 1;
  long long res = ft.get(pos - 1);
  cnt -= num.get(pos - 1);
  res += 1LL * val(pos) * cnt;
  return res;
}

long long res = -1e18;

void add(int i) {
  if (i) {
    num.update(a[i].v, 1);
    ft.update(a[i].v, val(a[i].v));  
  }
}

void del(int i) {
  if (i) {
    num.update(a[i].v, -1);
    ft.update(a[i].v, -val(a[i].v));  
  }
}

void dnc(int l, int r, int optl, int optr) {
  if (l > r) {
    return;
  }
  int mid = l + r >> 1;
  while (L > mid + 1) add(--L);
  while (R < optr) add(++R);
  while (L < mid + 1) del(L++);
  while (R > optr) del(R--);
  pair<long long, int> best = {-1e18, -1};
  for (int i = optr; i >= max(mid + m - 1, optl); --i) {
    while (R > i - 1) del(R--);
    long long cost = -2LL * (a[i].c - a[mid].c);
    cost += val(a[i].v);
    cost += val(a[mid].v);
    cost += get();
    if (cost > best.first) {
      best.first = cost;
      best.second = i;
    }
  }
  assert(best.second != -1);
  res = max(res, best.first);
  dnc(l, mid - 1, optl, best.second);
  dnc(mid + 1, r, best.second, optr);
}

signed main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cin >> n >> m;
  for (int i = 1; i <= n; ++i) {
    a[i].read();
    values.emplace_back(a[i].v);
  }
  sort(values.begin(), values.end());
  values.erase(unique(values.begin(), values.end()), values.end());
  k = values.size();
  for (int i = 1; i <= n; ++i) {
    a[i].v = lower_bound(values.begin(), values.end(), a[i].v) - values.begin() + 1;
    a[i].v = k - a[i].v + 1;
  }
  sort(a + 1, a + n + 1);
  dnc(1, n - m + 1, m, n);
  cout << res;
}

Compilation message

cake3.cpp: In function 'void dnc(int, int, int, int)':
cake3.cpp:105:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  105 |   int mid = l + r >> 1;
      |             ~~^~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 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 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2516 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2516 KB Output is correct
22 Correct 1 ms 2552 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2648 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 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 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2516 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2516 KB Output is correct
22 Correct 1 ms 2552 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2648 KB Output is correct
38 Correct 3 ms 2396 KB Output is correct
39 Correct 3 ms 2396 KB Output is correct
40 Correct 2 ms 2396 KB Output is correct
41 Correct 2 ms 2564 KB Output is correct
42 Correct 2 ms 2396 KB Output is correct
43 Correct 2 ms 2396 KB Output is correct
44 Correct 3 ms 2532 KB Output is correct
45 Correct 3 ms 2612 KB Output is correct
46 Correct 3 ms 2396 KB Output is correct
47 Correct 3 ms 2396 KB Output is correct
48 Correct 3 ms 2396 KB Output is correct
49 Correct 3 ms 2396 KB Output is correct
50 Correct 3 ms 2396 KB Output is correct
51 Correct 2 ms 2396 KB Output is correct
52 Correct 2 ms 2396 KB Output is correct
53 Correct 3 ms 2396 KB Output is correct
54 Correct 2 ms 2532 KB Output is correct
55 Correct 2 ms 2396 KB Output is correct
56 Correct 2 ms 2396 KB Output is correct
57 Correct 2 ms 2392 KB Output is correct
58 Correct 2 ms 2396 KB Output is correct
59 Correct 3 ms 2396 KB Output is correct
60 Correct 3 ms 2392 KB Output is correct
61 Correct 3 ms 2392 KB Output is correct
62 Correct 2 ms 2396 KB Output is correct
63 Correct 2 ms 2396 KB Output is correct
64 Correct 2 ms 2396 KB Output is correct
65 Correct 3 ms 2396 KB Output is correct
66 Correct 3 ms 2612 KB Output is correct
67 Correct 3 ms 2396 KB Output is correct
68 Correct 3 ms 2648 KB Output is correct
69 Correct 3 ms 2396 KB Output is correct
70 Correct 3 ms 2396 KB Output is correct
71 Correct 2 ms 2396 KB Output is correct
72 Correct 2 ms 2524 KB Output is correct
73 Correct 3 ms 2396 KB Output is correct
74 Correct 1 ms 2568 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2392 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 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2516 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2392 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2516 KB Output is correct
22 Correct 1 ms 2552 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 1 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2396 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2648 KB Output is correct
38 Correct 3 ms 2396 KB Output is correct
39 Correct 3 ms 2396 KB Output is correct
40 Correct 2 ms 2396 KB Output is correct
41 Correct 2 ms 2564 KB Output is correct
42 Correct 2 ms 2396 KB Output is correct
43 Correct 2 ms 2396 KB Output is correct
44 Correct 3 ms 2532 KB Output is correct
45 Correct 3 ms 2612 KB Output is correct
46 Correct 3 ms 2396 KB Output is correct
47 Correct 3 ms 2396 KB Output is correct
48 Correct 3 ms 2396 KB Output is correct
49 Correct 3 ms 2396 KB Output is correct
50 Correct 3 ms 2396 KB Output is correct
51 Correct 2 ms 2396 KB Output is correct
52 Correct 2 ms 2396 KB Output is correct
53 Correct 3 ms 2396 KB Output is correct
54 Correct 2 ms 2532 KB Output is correct
55 Correct 2 ms 2396 KB Output is correct
56 Correct 2 ms 2396 KB Output is correct
57 Correct 2 ms 2392 KB Output is correct
58 Correct 2 ms 2396 KB Output is correct
59 Correct 3 ms 2396 KB Output is correct
60 Correct 3 ms 2392 KB Output is correct
61 Correct 3 ms 2392 KB Output is correct
62 Correct 2 ms 2396 KB Output is correct
63 Correct 2 ms 2396 KB Output is correct
64 Correct 2 ms 2396 KB Output is correct
65 Correct 3 ms 2396 KB Output is correct
66 Correct 3 ms 2612 KB Output is correct
67 Correct 3 ms 2396 KB Output is correct
68 Correct 3 ms 2648 KB Output is correct
69 Correct 3 ms 2396 KB Output is correct
70 Correct 3 ms 2396 KB Output is correct
71 Correct 2 ms 2396 KB Output is correct
72 Correct 2 ms 2524 KB Output is correct
73 Correct 3 ms 2396 KB Output is correct
74 Correct 1 ms 2568 KB Output is correct
75 Correct 389 ms 8432 KB Output is correct
76 Correct 449 ms 8396 KB Output is correct
77 Correct 332 ms 8396 KB Output is correct
78 Correct 369 ms 8648 KB Output is correct
79 Correct 82 ms 8652 KB Output is correct
80 Correct 116 ms 8480 KB Output is correct
81 Correct 337 ms 7632 KB Output is correct
82 Correct 430 ms 7888 KB Output is correct
83 Correct 385 ms 7952 KB Output is correct
84 Correct 398 ms 7884 KB Output is correct
85 Correct 346 ms 7976 KB Output is correct
86 Correct 186 ms 7628 KB Output is correct
87 Correct 208 ms 7376 KB Output is correct
88 Correct 300 ms 7376 KB Output is correct
89 Correct 285 ms 7724 KB Output is correct
90 Correct 204 ms 7936 KB Output is correct
91 Correct 141 ms 7372 KB Output is correct
92 Correct 158 ms 7488 KB Output is correct
93 Correct 170 ms 7700 KB Output is correct
94 Correct 125 ms 7824 KB Output is correct
95 Correct 192 ms 7936 KB Output is correct
96 Correct 302 ms 7524 KB Output is correct
97 Correct 313 ms 7900 KB Output is correct
98 Correct 325 ms 7620 KB Output is correct
99 Correct 290 ms 7844 KB Output is correct
100 Correct 228 ms 7376 KB Output is correct
101 Correct 255 ms 7548 KB Output is correct
102 Correct 333 ms 7576 KB Output is correct
103 Correct 317 ms 7480 KB Output is correct
104 Correct 366 ms 7748 KB Output is correct
105 Correct 272 ms 7728 KB Output is correct
106 Correct 271 ms 7856 KB Output is correct
107 Correct 240 ms 7616 KB Output is correct
108 Correct 341 ms 8400 KB Output is correct
109 Correct 277 ms 8792 KB Output is correct
110 Correct 175 ms 7000 KB Output is correct
111 Correct 246 ms 6872 KB Output is correct
112 Correct 368 ms 6860 KB Output is correct
113 Correct 87 ms 8988 KB Output is correct