oj.uz

답안 #256940

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
256940 2020-08-03T12:15:53 Z Bruteforceman Discharging (NOI20_discharging) C++11
36 / 100
 1000 ms 375004 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;
  hull() {
    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);
    }
    pt = min(pt, int(M.size()) - 1);
  }
  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(), n, 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:29:18: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     while(pt + 1 < M.size() && 
           ~~~~~~~^~~~~~~~~~
Discharging.cpp: In function 'int main()':
Discharging.cpp:58:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", &n);
   ~~~~~^~~~~~~~~~
Discharging.cpp:59:36: 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

# 결과 실행 시간 메모리 Grader output
1 Correct 122 ms 219512 KB Output is correct
2 Correct 124 ms 219640 KB Output is correct
3 Correct 122 ms 219512 KB Output is correct
4 Correct 124 ms 219512 KB Output is correct
5 Correct 127 ms 219548 KB Output is correct
6 Correct 122 ms 219516 KB Output is correct
7 Correct 120 ms 219512 KB Output is correct
8 Correct 122 ms 219512 KB Output is correct
9 Correct 141 ms 219512 KB Output is correct
10 Correct 138 ms 219512 KB Output is correct
11 Correct 141 ms 219512 KB Output is correct
12 Correct 121 ms 219512 KB Output is correct
13 Correct 127 ms 219512 KB Output is correct
14 Correct 133 ms 219640 KB Output is correct

Subtask #2
13.0 / 13.0

# 결과 실행 시간 메모리 Grader output
1 Correct 125 ms 219768 KB Output is correct
2 Correct 125 ms 219768 KB Output is correct
3 Correct 124 ms 219844 KB Output is correct
4 Correct 125 ms 219768 KB Output is correct
5 Correct 124 ms 219768 KB Output is correct
6 Correct 146 ms 219768 KB Output is correct
7 Correct 130 ms 219768 KB Output is correct
8 Correct 145 ms 219768 KB Output is correct
9 Correct 122 ms 219768 KB Output is correct
10 Correct 122 ms 219768 KB Output is correct
11 Correct 123 ms 219944 KB Output is correct
12 Correct 129 ms 219768 KB Output is correct
13 Correct 124 ms 219768 KB Output is correct
14 Correct 121 ms 219768 KB Output is correct
15 Correct 123 ms 219768 KB Output is correct

Subtask #3
0 / 25.0

# 결과 실행 시간 메모리 Grader output
1 Correct 125 ms 219768 KB Output is correct
2 Correct 125 ms 219768 KB Output is correct
3 Correct 124 ms 219844 KB Output is correct
4 Correct 125 ms 219768 KB Output is correct
5 Correct 124 ms 219768 KB Output is correct
6 Correct 146 ms 219768 KB Output is correct
7 Correct 130 ms 219768 KB Output is correct
8 Correct 145 ms 219768 KB Output is correct
9 Correct 122 ms 219768 KB Output is correct
10 Correct 122 ms 219768 KB Output is correct
11 Correct 123 ms 219944 KB Output is correct
12 Correct 129 ms 219768 KB Output is correct
13 Correct 124 ms 219768 KB Output is correct
14 Correct 121 ms 219768 KB Output is correct
15 Correct 123 ms 219768 KB Output is correct
16 Execution timed out 1111 ms 375004 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #4
0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Execution timed out 1108 ms 342044 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 122 ms 219512 KB Output is correct
2 Correct 124 ms 219640 KB Output is correct
3 Correct 122 ms 219512 KB Output is correct
4 Correct 124 ms 219512 KB Output is correct
5 Correct 127 ms 219548 KB Output is correct
6 Correct 122 ms 219516 KB Output is correct
7 Correct 120 ms 219512 KB Output is correct
8 Correct 122 ms 219512 KB Output is correct
9 Correct 141 ms 219512 KB Output is correct
10 Correct 138 ms 219512 KB Output is correct
11 Correct 141 ms 219512 KB Output is correct
12 Correct 121 ms 219512 KB Output is correct
13 Correct 127 ms 219512 KB Output is correct
14 Correct 133 ms 219640 KB Output is correct
15 Correct 125 ms 219768 KB Output is correct
16 Correct 125 ms 219768 KB Output is correct
17 Correct 124 ms 219844 KB Output is correct
18 Correct 125 ms 219768 KB Output is correct
19 Correct 124 ms 219768 KB Output is correct
20 Correct 146 ms 219768 KB Output is correct
21 Correct 130 ms 219768 KB Output is correct
22 Correct 145 ms 219768 KB Output is correct
23 Correct 122 ms 219768 KB Output is correct
24 Correct 122 ms 219768 KB Output is correct
25 Correct 123 ms 219944 KB Output is correct
26 Correct 129 ms 219768 KB Output is correct
27 Correct 124 ms 219768 KB Output is correct
28 Correct 121 ms 219768 KB Output is correct
29 Correct 123 ms 219768 KB Output is correct
30 Correct 130 ms 219772 KB Output is correct
31 Correct 138 ms 219768 KB Output is correct
32 Correct 128 ms 219768 KB Output is correct
33 Correct 150 ms 219768 KB Output is correct
34 Correct 151 ms 219768 KB Output is correct
35 Correct 127 ms 219768 KB Output is correct
36 Correct 132 ms 219896 KB Output is correct
37 Correct 133 ms 219896 KB Output is correct
38 Correct 127 ms 219768 KB Output is correct
39 Correct 129 ms 219768 KB Output is correct
40 Correct 128 ms 219768 KB Output is correct
41 Correct 128 ms 219768 KB Output is correct
42 Correct 129 ms 219768 KB Output is correct
43 Correct 128 ms 219768 KB Output is correct
44 Correct 127 ms 219768 KB Output is correct
45 Correct 127 ms 219768 KB Output is correct
46 Correct 124 ms 219896 KB Output is correct
47 Correct 128 ms 219768 KB Output is correct
48 Correct 127 ms 219748 KB Output is correct
49 Correct 131 ms 219896 KB Output is correct
50 Correct 128 ms 219768 KB Output is correct

Subtask #6
0 / 28.0

# 결과 실행 시간 메모리 Grader output
1 Correct 122 ms 219512 KB Output is correct
2 Correct 124 ms 219640 KB Output is correct
3 Correct 122 ms 219512 KB Output is correct
4 Correct 124 ms 219512 KB Output is correct
5 Correct 127 ms 219548 KB Output is correct
6 Correct 122 ms 219516 KB Output is correct
7 Correct 120 ms 219512 KB Output is correct
8 Correct 122 ms 219512 KB Output is correct
9 Correct 141 ms 219512 KB Output is correct
10 Correct 138 ms 219512 KB Output is correct
11 Correct 141 ms 219512 KB Output is correct
12 Correct 121 ms 219512 KB Output is correct
13 Correct 127 ms 219512 KB Output is correct
14 Correct 133 ms 219640 KB Output is correct
15 Correct 125 ms 219768 KB Output is correct
16 Correct 125 ms 219768 KB Output is correct
17 Correct 124 ms 219844 KB Output is correct
18 Correct 125 ms 219768 KB Output is correct
19 Correct 124 ms 219768 KB Output is correct
20 Correct 146 ms 219768 KB Output is correct
21 Correct 130 ms 219768 KB Output is correct
22 Correct 145 ms 219768 KB Output is correct
23 Correct 122 ms 219768 KB Output is correct
24 Correct 122 ms 219768 KB Output is correct
25 Correct 123 ms 219944 KB Output is correct
26 Correct 129 ms 219768 KB Output is correct
27 Correct 124 ms 219768 KB Output is correct
28 Correct 121 ms 219768 KB Output is correct
29 Correct 123 ms 219768 KB Output is correct
30 Execution timed out 1111 ms 375004 KB Time limit exceeded
31 Halted 0 ms 0 KB -