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Submission #256914

# Submission time Handle Problem Language Result Execution time Memory
256914 2020-08-03T11:54:10 Z Bruteforceman Discharging (NOI20_discharging) C++11
36 / 100
 1000 ms 353628 KB 
#include <bits/stdc++.h>
using namespace std;
const int maxn = 1e6 + 10;
const long long inf = 1e16;
long long dp[maxn];
int a[maxn];
int n;

struct hull {
  vector <long long> M, C;
  int pt = 0;
  bool bad(int i, int j, int k) {
    return (C[k] - C[j]) * (M[i] - M[k]) <= (C[k] - C[i]) * (M[j] - M[k]);
  }
  void add(long long m, long long c) {
    M.push_back(m);
    C.push_back(c);
    while(M.size() >= 3 && bad(M.size() - 3, M.size() - 2, M.size() - 1)) {
      M.erase(M.end() - 2);
      C.erase(C.end() - 2);
    }
  }
  long long eval(long long x) {
    if(M.size() == 0) return inf;
    while(pt + 1 < M.size() && 
        M[pt] * x + C[pt] >= M[pt + 1] * x + C[pt + 1]) {
      ++pt;
    }
    return M[pt] * x + C[pt];
  }
} t[maxn * 4];
void update(int x, int c = 1, int b = 0, int e = n) {
  t[c].add(n - x, dp[x]);
  if(b == e) {
    return ;
  }
  int m = (b + e) >> 1;
  int l = c << 1;
  int r = l + 1;
  if(x <= m) update(x, l, b, m);
  else update(x, r, m + 1, e);
}
long long query(int x, int y, int val, int c = 1, int b = 0, int e = n) {
  if(x <= b && e <= y) {
    return t[c].eval(val);
  }
  if(y < b || e < x) return inf;
  int m = (b + e) >> 1;
  int l = c << 1;
  int r = l + 1;
  return min(query(x, y, val, l, b, m), query(x, y, val, r, m + 1, e));
}
int main() {
  scanf("%d", &n);
  for(int i = 1; i <= n; i++) scanf("%d", &a[i]);
  vector <int> v ({0});
  a[0] = INT_MAX;
  update(0);
  dp[0] = inf;
  for(int i = 1; i <= n; i++) {
    while(a[v.back()] <= a[i]) {
      v.pop_back();
    }
    dp[i] = min(dp[v.back()], query(v.back(), i - 1, a[i]));
    update(i);
    v.push_back(i);
  }
  printf("%lld\n", dp[n]);
  return 0;
}

Compilation message

Discharging.cpp: In member function 'long long int hull::eval(long long int)':
Discharging.cpp:25:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     while(pt + 1 < M.size() && 
           ~~~~~~~^~~~~~~~~~
Discharging.cpp: In function 'int main()':
Discharging.cpp:54:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &n);
   ~~~~~^~~~~~~~~~
Discharging.cpp:55:36: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   for(int i = 1; i <= n; i++) scanf("%d", &a[i]);
                               ~~~~~^~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 125 ms 219512 KB Output is correct
2 Correct 123 ms 219512 KB Output is correct
3 Correct 126 ms 219512 KB Output is correct
4 Correct 144 ms 219512 KB Output is correct
5 Correct 155 ms 219612 KB Output is correct
6 Correct 165 ms 219516 KB Output is correct
7 Correct 144 ms 219512 KB Output is correct
8 Correct 124 ms 219512 KB Output is correct
9 Correct 144 ms 219512 KB Output is correct
10 Correct 124 ms 219768 KB Output is correct
11 Correct 144 ms 219512 KB Output is correct
12 Correct 144 ms 219512 KB Output is correct
13 Correct 143 ms 219512 KB Output is correct
14 Correct 124 ms 219512 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 149 ms 219768 KB Output is correct
2 Correct 144 ms 219772 KB Output is correct
3 Correct 127 ms 219984 KB Output is correct
4 Correct 124 ms 219768 KB Output is correct
5 Correct 152 ms 219768 KB Output is correct
6 Correct 122 ms 219768 KB Output is correct
7 Correct 126 ms 219768 KB Output is correct
8 Correct 125 ms 219900 KB Output is correct
9 Correct 122 ms 219768 KB Output is correct
10 Correct 122 ms 219768 KB Output is correct
11 Correct 126 ms 219768 KB Output is correct
12 Correct 125 ms 219768 KB Output is correct
13 Correct 124 ms 219772 KB Output is correct
14 Correct 122 ms 219768 KB Output is correct
15 Correct 125 ms 219768 KB Output is correct

Subtask #3
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 149 ms 219768 KB Output is correct
2 Correct 144 ms 219772 KB Output is correct
3 Correct 127 ms 219984 KB Output is correct
4 Correct 124 ms 219768 KB Output is correct
5 Correct 152 ms 219768 KB Output is correct
6 Correct 122 ms 219768 KB Output is correct
7 Correct 126 ms 219768 KB Output is correct
8 Correct 125 ms 219900 KB Output is correct
9 Correct 122 ms 219768 KB Output is correct
10 Correct 122 ms 219768 KB Output is correct
11 Correct 126 ms 219768 KB Output is correct
12 Correct 125 ms 219768 KB Output is correct
13 Correct 124 ms 219772 KB Output is correct
14 Correct 122 ms 219768 KB Output is correct
15 Correct 125 ms 219768 KB Output is correct
16 Execution timed out 1107 ms 346568 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #4
0 / 11.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1122 ms 353628 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 125 ms 219512 KB Output is correct
2 Correct 123 ms 219512 KB Output is correct
3 Correct 126 ms 219512 KB Output is correct
4 Correct 144 ms 219512 KB Output is correct
5 Correct 155 ms 219612 KB Output is correct
6 Correct 165 ms 219516 KB Output is correct
7 Correct 144 ms 219512 KB Output is correct
8 Correct 124 ms 219512 KB Output is correct
9 Correct 144 ms 219512 KB Output is correct
10 Correct 124 ms 219768 KB Output is correct
11 Correct 144 ms 219512 KB Output is correct
12 Correct 144 ms 219512 KB Output is correct
13 Correct 143 ms 219512 KB Output is correct
14 Correct 124 ms 219512 KB Output is correct
15 Correct 149 ms 219768 KB Output is correct
16 Correct 144 ms 219772 KB Output is correct
17 Correct 127 ms 219984 KB Output is correct
18 Correct 124 ms 219768 KB Output is correct
19 Correct 152 ms 219768 KB Output is correct
20 Correct 122 ms 219768 KB Output is correct
21 Correct 126 ms 219768 KB Output is correct
22 Correct 125 ms 219900 KB Output is correct
23 Correct 122 ms 219768 KB Output is correct
24 Correct 122 ms 219768 KB Output is correct
25 Correct 126 ms 219768 KB Output is correct
26 Correct 125 ms 219768 KB Output is correct
27 Correct 124 ms 219772 KB Output is correct
28 Correct 122 ms 219768 KB Output is correct
29 Correct 125 ms 219768 KB Output is correct
30 Correct 124 ms 219768 KB Output is correct
31 Correct 127 ms 219768 KB Output is correct
32 Correct 128 ms 219768 KB Output is correct
33 Correct 127 ms 219768 KB Output is correct
34 Correct 127 ms 219768 KB Output is correct
35 Correct 134 ms 219768 KB Output is correct
36 Correct 146 ms 219768 KB Output is correct
37 Correct 125 ms 219768 KB Output is correct
38 Correct 124 ms 219768 KB Output is correct
39 Correct 130 ms 219768 KB Output is correct
40 Correct 124 ms 219768 KB Output is correct
41 Correct 151 ms 219684 KB Output is correct
42 Correct 125 ms 219768 KB Output is correct
43 Correct 131 ms 219768 KB Output is correct
44 Correct 126 ms 219768 KB Output is correct
45 Correct 125 ms 219672 KB Output is correct
46 Correct 129 ms 219792 KB Output is correct
47 Correct 129 ms 219768 KB Output is correct
48 Correct 125 ms 219768 KB Output is correct
49 Correct 150 ms 219768 KB Output is correct
50 Correct 125 ms 219768 KB Output is correct

Subtask #6
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 125 ms 219512 KB Output is correct
2 Correct 123 ms 219512 KB Output is correct
3 Correct 126 ms 219512 KB Output is correct
4 Correct 144 ms 219512 KB Output is correct
5 Correct 155 ms 219612 KB Output is correct
6 Correct 165 ms 219516 KB Output is correct
7 Correct 144 ms 219512 KB Output is correct
8 Correct 124 ms 219512 KB Output is correct
9 Correct 144 ms 219512 KB Output is correct
10 Correct 124 ms 219768 KB Output is correct
11 Correct 144 ms 219512 KB Output is correct
12 Correct 144 ms 219512 KB Output is correct
13 Correct 143 ms 219512 KB Output is correct
14 Correct 124 ms 219512 KB Output is correct
15 Correct 149 ms 219768 KB Output is correct
16 Correct 144 ms 219772 KB Output is correct
17 Correct 127 ms 219984 KB Output is correct
18 Correct 124 ms 219768 KB Output is correct
19 Correct 152 ms 219768 KB Output is correct
20 Correct 122 ms 219768 KB Output is correct
21 Correct 126 ms 219768 KB Output is correct
22 Correct 125 ms 219900 KB Output is correct
23 Correct 122 ms 219768 KB Output is correct
24 Correct 122 ms 219768 KB Output is correct
25 Correct 126 ms 219768 KB Output is correct
26 Correct 125 ms 219768 KB Output is correct
27 Correct 124 ms 219772 KB Output is correct
28 Correct 122 ms 219768 KB Output is correct
29 Correct 125 ms 219768 KB Output is correct
30 Execution timed out 1107 ms 346568 KB Time limit exceeded
31 Halted 0 ms 0 KB -