oj.uz

Submission #736054

# Submission time Handle Problem Language Result Execution time Memory
736054 2023-05-05T07:20:16 Z Hydrolyzed Safety (NOI18_safety) C++14
100 / 100
 202 ms 22560 KB 
/*
 * AUTHOR	: Hydrolyzed~
 * SCHOOL	: RYW
 * TASK		: Safety
 * ALGO		: Slope Trick
 * DATE		: 5 May 2023
 * */

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>

#ifndef _DEBUG
// @==== Libary ====@ //

// @================@ //
#endif

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;

template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update> ;

// @=== Debugger ===@ //
#ifdef _DEBUG
#include "debug.hpp"
#else
#define dbg(...) 0
#endif
// @================@ //

using ll = long long;

const int MxN = 200020;
ll a[MxN], h;

struct slope_trick{
	multiset<ll> ms_l, ms_r;
	ll min_y = 0, lz_l = 0, lz_r = 0;
	bool state = false;
	inline void add_line(ll value){
		// real_value = insert_value + lazy
		// insert_value = real_value - lazy
		if(state){
			lz_l -= h; lz_r += h;
		}
		state = true;
		if(ms_l.empty() && ms_r.empty()){
			ms_l.emplace(value);
			ms_r.emplace(value);
		}	
		else if(value <= *ms_l.rbegin() + lz_l){
			min_y += (*ms_l.rbegin() + lz_l) - value;
			ms_r.emplace(*ms_l.rbegin() + lz_l - lz_r);
			ms_l.erase(--ms_l.end());
			ms_l.emplace(value - lz_l);
			ms_l.emplace(value - lz_l);
		}
		else if(value >= *ms_r.begin() + lz_r){
			min_y += value - (*ms_r.begin() + lz_r);
			ms_l.emplace(*ms_r.begin() + lz_r - lz_l);
			ms_r.erase(ms_r.begin());
			ms_r.emplace(value - lz_r);
			ms_r.emplace(value - lz_r);
		}
		else{
			ms_l.emplace(value - lz_l);
			ms_r.emplace(value - lz_r);
		}
	};
} dp;

inline void solution(){
	int n;
	cin >> n >> h;
	for(int i=1; i<=n; ++i){
		cin >> a[i];
	}
	for(int i=1; i<=n; ++i){
		dp.add_line(a[i]);
		dbg(dp.min_y);
	}
	cout << dp.min_y;
	return ;
}

signed main(){
	cin.tie(nullptr)->ios::sync_with_stdio(false);	
	int q = 1;
//	cin >> q;
	while(q--){
		solution();
		cout << "\n";
	}
	return 0;
}
// https://github.com/MasterIceZ/archive/tree/main/cpp-template

Compilation message

safety.cpp: In function 'void solution()':
safety.cpp:30:18: warning: statement has no effect [-Wunused-value]
   30 | #define dbg(...) 0
      |                  ^
safety.cpp:83:3: note: in expansion of macro 'dbg'
   83 |   dbg(dp.min_y);
      |   ^~~

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 0 ms 212 KB Output is correct
4 Correct 0 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 0 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 0 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 292 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 324 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 127 ms 13636 KB Output is correct
2 Correct 201 ms 19288 KB Output is correct
3 Correct 196 ms 20220 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 0 ms 212 KB Output is correct
4 Correct 0 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 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 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 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 324 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 0 ms 212 KB Output is correct
4 Correct 0 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 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 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 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 324 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 324 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 0 ms 212 KB Output is correct
4 Correct 0 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 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 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 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 324 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 324 KB Output is correct
28 Correct 4 ms 852 KB Output is correct
29 Correct 3 ms 724 KB Output is correct
30 Correct 3 ms 852 KB Output is correct
31 Correct 2 ms 724 KB Output is correct
32 Correct 2 ms 724 KB Output is correct
33 Correct 3 ms 852 KB Output is correct
34 Correct 2 ms 852 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 0 ms 212 KB Output is correct
4 Correct 0 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 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 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 292 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 324 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 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 324 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 324 KB Output is correct
34 Correct 4 ms 852 KB Output is correct
35 Correct 3 ms 724 KB Output is correct
36 Correct 3 ms 852 KB Output is correct
37 Correct 2 ms 724 KB Output is correct
38 Correct 2 ms 724 KB Output is correct
39 Correct 3 ms 852 KB Output is correct
40 Correct 2 ms 852 KB Output is correct
41 Correct 3 ms 852 KB Output is correct
42 Correct 2 ms 760 KB Output is correct
43 Correct 2 ms 852 KB Output is correct
44 Correct 3 ms 852 KB Output is correct
45 Correct 2 ms 724 KB Output is correct
46 Correct 2 ms 724 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 0 ms 212 KB Output is correct
4 Correct 0 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 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 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 292 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 127 ms 13636 KB Output is correct
20 Correct 201 ms 19288 KB Output is correct
21 Correct 196 ms 20220 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 324 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 324 KB Output is correct
37 Correct 4 ms 852 KB Output is correct
38 Correct 3 ms 724 KB Output is correct
39 Correct 3 ms 852 KB Output is correct
40 Correct 2 ms 724 KB Output is correct
41 Correct 2 ms 724 KB Output is correct
42 Correct 3 ms 852 KB Output is correct
43 Correct 2 ms 852 KB Output is correct
44 Correct 3 ms 852 KB Output is correct
45 Correct 2 ms 760 KB Output is correct
46 Correct 2 ms 852 KB Output is correct
47 Correct 3 ms 852 KB Output is correct
48 Correct 2 ms 724 KB Output is correct
49 Correct 2 ms 724 KB Output is correct
50 Correct 202 ms 22560 KB Output is correct
51 Correct 169 ms 18624 KB Output is correct
52 Correct 95 ms 18008 KB Output is correct
53 Correct 106 ms 20876 KB Output is correct
54 Correct 105 ms 21572 KB Output is correct
55 Correct 93 ms 18260 KB Output is correct
56 Correct 103 ms 20124 KB Output is correct
57 Correct 97 ms 18456 KB Output is correct
58 Correct 107 ms 15616 KB Output is correct
59 Correct 108 ms 20500 KB Output is correct