oj.uz

Submission #709503

# Submission time Handle Problem Language Result Execution time Memory
709503 2023-03-13T18:47:42 Z pauloamed Safety (NOI18_safety) C++14
100 / 100
 141 ms 7000 KB 
#include<bits/stdc++.h>
using namespace std;
 
#define int long long
#define mp make_pair
 
template<typename T> struct OffsetPq : 
  priority_queue<int,vector<int>,T> {
  int offset = 0;
 
  void push(int x) {
    priority_queue<int,vector<int>, T>::push(x - offset);
  }
 
  int top() {
    return priority_queue<int,vector<int>,T>::top() + offset;
  }
 
  void addToOffset(int x) {
    offset += x;
  }
};
 
struct PiecewiseConvex{
  int a, b; // ax + b
  OffsetPq<less<int>> slopeChangeUntil0;
  OffsetPq<greater<int>> slopeChangeAfter0;
 
  PiecewiseConvex(int _a=0, int _b=0):a(_a), b(_b){}
  
  void merge(PiecewiseConvex &st){
    a += st.a, b += st.b;
 
    auto addToPQs = [&](int x) {
      if(slopeChangeAfter0.size() && slopeChangeAfter0.top() <= x)
        slopeChangeAfter0.push(x);
      else slopeChangeUntil0.push(x);
    };
 
    while(st.slopeChangeUntil0.size()) {
      addToPQs(st.slopeChangeUntil0.top());
      st.slopeChangeUntil0.pop();
    }
    
    while(st.slopeChangeAfter0.size()) {
      addToPQs(st.slopeChangeAfter0.top());
      st.slopeChangeAfter0.pop();
    }
 
    if(a < 0) {
      while(-a > slopeChangeUntil0.size()) {
        int x = slopeChangeAfter0.top();
        slopeChangeAfter0.pop();
        slopeChangeUntil0.push(x);
      }
  
      while(-a < slopeChangeUntil0.size()) {
        int x = slopeChangeUntil0.top();
        slopeChangeUntil0.pop();
        slopeChangeAfter0.push(x);
      }
    } else if(a >= 0) {
      while(slopeChangeUntil0.size()) {
        int x = slopeChangeUntil0.top();
        slopeChangeUntil0.pop();
        slopeChangeAfter0.push(x);
      }
    }
 
  }
 
 
 
  void min_pref() {
    a = min(a, 0LL);
    slopeChangeAfter0 = OffsetPq<greater<int>>();
  }
 
  void min_op(int h0, int h1) {
    // f(x) = g(t), t - x <= h0, x - t <= h1
    b += h0 * a;
    slopeChangeUntil0.addToOffset(-h0);
    slopeChangeAfter0.addToOffset(h1);
  }
 
  
  void print(){
    cout << "PRINT: \n";
    cout << a << " " << b << "\n";
    {
      auto x = slopeChangeUntil0;
      vector<int> v;
      while(x.size()) {
        v.push_back(x.top()); x.pop();
      }
      reverse(v.begin(), v.end());
      for(auto y : v) cout << y << " "; cout << endl;
    }
    {
      auto x = slopeChangeAfter0;
      vector<int> v;
      while(x.size()) {
        v.push_back(x.top()); x.pop();
      }
      for(auto y : v) cout << y << " "; cout << endl;
    }
    cout << "------------------------\n";
  }
};
 
 
PiecewiseConvex buildAbs(int a){
  // builds |a - x|
  PiecewiseConvex st(-1, a);
  st.slopeChangeUntil0.push(a);
  st.slopeChangeAfter0.push(a);
  return st;
}
 
int32_t main(){
  int n, h; cin >> n >> h;
  vector<int> v(n); for(auto &x : v) cin >> x;
 
  PiecewiseConvex dp = buildAbs(v[0]);
  // dp.print();
 
  for(int i = 1; i < n; ++i){
    // dp is f
    dp.min_op(h, h);
    // dp.print();
    
    // dp is g
    auto x = buildAbs(v[i]);
    dp.merge(x);
    // dp.print();
  }
 
  int sum_b = 0;
  while(dp.slopeChangeUntil0.size()) {
    sum_b += dp.slopeChangeUntil0.top();
    dp.slopeChangeUntil0.pop();
  }
 
  cout << dp.b - sum_b << "\n";
}

Compilation message

safety.cpp: In member function 'void PiecewiseConvex::merge(PiecewiseConvex&)':
safety.cpp:51:16: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::priority_queue<long long int, std::vector<long long int>, std::less<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   51 |       while(-a > slopeChangeUntil0.size()) {
      |             ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
safety.cpp:57:16: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::priority_queue<long long int, std::vector<long long int>, std::less<long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   57 |       while(-a < slopeChangeUntil0.size()) {
      |             ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
safety.cpp: In member function 'void PiecewiseConvex::print()':
safety.cpp:97:7: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
   97 |       for(auto y : v) cout << y << " "; cout << endl;
      |       ^~~
safety.cpp:97:41: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
   97 |       for(auto y : v) cout << y << " "; cout << endl;
      |                                         ^~~~
safety.cpp:105:7: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  105 |       for(auto y : v) cout << y << " "; cout << endl;
      |       ^~~
safety.cpp:105:41: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  105 |       for(auto y : v) cout << y << " "; cout << endl;
      |                                         ^~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 86 ms 5804 KB Output is correct
2 Correct 123 ms 6748 KB Output is correct
3 Correct 132 ms 7000 KB Output is correct

Subtask #5
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 300 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 296 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 300 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 296 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 300 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 296 KB Output is correct
27 Correct 1 ms 296 KB Output is correct

Subtask #7
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 300 KB Output is correct
14 Correct 1 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 296 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 300 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 296 KB Output is correct
27 Correct 1 ms 296 KB Output is correct
28 Correct 3 ms 468 KB Output is correct
29 Correct 3 ms 468 KB Output is correct
30 Correct 4 ms 444 KB Output is correct
31 Correct 3 ms 340 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 3 ms 468 KB Output is correct
34 Correct 3 ms 468 KB Output is correct

Subtask #8
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 300 KB Output is correct
20 Correct 1 ms 300 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 296 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 300 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 296 KB Output is correct
33 Correct 1 ms 296 KB Output is correct
34 Correct 3 ms 468 KB Output is correct
35 Correct 3 ms 468 KB Output is correct
36 Correct 4 ms 444 KB Output is correct
37 Correct 3 ms 340 KB Output is correct
38 Correct 2 ms 468 KB Output is correct
39 Correct 3 ms 468 KB Output is correct
40 Correct 3 ms 468 KB Output is correct
41 Correct 4 ms 572 KB Output is correct
42 Correct 3 ms 340 KB Output is correct
43 Correct 4 ms 468 KB Output is correct
44 Correct 3 ms 468 KB Output is correct
45 Correct 5 ms 468 KB Output is correct
46 Correct 5 ms 440 KB Output is correct

Subtask #9
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 86 ms 5804 KB Output is correct
20 Correct 123 ms 6748 KB Output is correct
21 Correct 132 ms 7000 KB Output is correct
22 Correct 1 ms 300 KB Output is correct
23 Correct 1 ms 300 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 296 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 300 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 296 KB Output is correct
36 Correct 1 ms 296 KB Output is correct
37 Correct 3 ms 468 KB Output is correct
38 Correct 3 ms 468 KB Output is correct
39 Correct 4 ms 444 KB Output is correct
40 Correct 3 ms 340 KB Output is correct
41 Correct 2 ms 468 KB Output is correct
42 Correct 3 ms 468 KB Output is correct
43 Correct 3 ms 468 KB Output is correct
44 Correct 4 ms 572 KB Output is correct
45 Correct 3 ms 340 KB Output is correct
46 Correct 4 ms 468 KB Output is correct
47 Correct 3 ms 468 KB Output is correct
48 Correct 5 ms 468 KB Output is correct
49 Correct 5 ms 440 KB Output is correct
50 Correct 135 ms 6956 KB Output is correct
51 Correct 141 ms 6356 KB Output is correct
52 Correct 102 ms 6344 KB Output is correct
53 Correct 118 ms 6840 KB Output is correct
54 Correct 120 ms 6668 KB Output is correct
55 Correct 109 ms 6428 KB Output is correct
56 Correct 112 ms 6656 KB Output is correct
57 Correct 127 ms 6460 KB Output is correct
58 Correct 90 ms 5596 KB Output is correct
59 Correct 122 ms 6680 KB Output is correct