답안 #233067

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
233067	2020-05-19T06:27:03 Z	oolimry	Cake 3 (JOI19_cake3)	C++14	100 / 100	3750 ms	15468 KB

cake3

#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimize("unroll-loops")
#define C first
#define V second
using namespace std;
typedef pair<long long, long long> ii;

int n, m; 

long long op[300005];
ii arr[200005];

struct maxM{
	multiset<int> take;
	multiset<int> notake;
	long long total = 0;
	int l = -1, r = -1;
	
	void include(long long pos){
		long long x = arr[pos].V;
		if(l == -1){ ///initialise first element
			l = pos; r = pos;
		}
		else r++; ///expand

		take.insert(x); total += x;
		if((int) take.size() > m){
			auto it = take.begin();
			total -= *it;
			take.erase(it);
			notake.insert(*it);
		}
	}
	
	void exclude(){
		long long x = arr[l].V;
		l++; ///contract
		
		auto it = notake.find(x);
		if(it != notake.end()){
			notake.erase(it);
			return;
		}
		
		take.erase(take.find(x)); total -= x;
		while((int) take.size() < m && !notake.empty()){
			auto it2 = (--notake.end());
			take.insert(*it2);
			total += *it2;
			notake.erase(it2);
		}
		
	}
	
	long long get(){
		if((int) take.size() == m) return total;
		else return -1e18;
	}
	
	void reset(){
		take.clear();
		notake.clear();
		l = -1, r = -1;
		total = 0;
	}
};
maxM S; ///Sliding window set: sum of the m largest integers in range [l,r]

signed main(){
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
	
	cin >> n >> m; m -= 2;
	
	for(int i = 1;i <= n;i++) cin >> arr[i].V >> arr[i].C;
	sort(arr+1,arr+n+1);
	
	fill(op,op+300004, n); op[0] = 1; 
	long long ans = -1e18;
	
	for(int bit = (1<<17);bit >= 1;bit >>= 1){ ///D&C Optimization
		S.reset();
		
		for(int s = bit;s < n - m;s += 2*bit){
			int L, R;
			L = op[s-bit];
			R = op[s+bit];
			L = max(s+1, L);
			
			long long bestValue = -1e18;
			long long bestPos = -1;
			
			
			for(int e = L;e <= R;e++){
				
				long long val = S.get() + arr[s].V + arr[e].V - 2*arr[e].C + 2*arr[s].C;
				ans = max(ans, val);
				if(bestValue < val){
					bestValue = val;
					bestPos = e;
				}
				
				if(e != R){
					S.include(e);
				}
			}
			
			while(S.l <= s + 2*bit && S.l <= S.r){
				S.exclude();
			}
			op[s] = bestPos;
		}
	}
	
	cout << ans;	
}

Subtask #1
5.0 / 5.0

#	결과	실행 시간	메모리	Grader output
1	Correct	6 ms	2688 KB	Output is correct
2	Correct	6 ms	2688 KB	Output is correct
3	Correct	6 ms	2688 KB	Output is correct
4	Correct	6 ms	2688 KB	Output is correct
5	Correct	6 ms	2688 KB	Output is correct
6	Correct	6 ms	2688 KB	Output is correct
7	Correct	5 ms	2688 KB	Output is correct
8	Correct	6 ms	2688 KB	Output is correct
9	Correct	6 ms	2688 KB	Output is correct
10	Correct	6 ms	2688 KB	Output is correct
11	Correct	6 ms	2688 KB	Output is correct
12	Correct	6 ms	2688 KB	Output is correct
13	Correct	6 ms	2688 KB	Output is correct
14	Correct	6 ms	2688 KB	Output is correct
15	Correct	6 ms	2688 KB	Output is correct
16	Correct	6 ms	2688 KB	Output is correct
17	Correct	6 ms	2688 KB	Output is correct
18	Correct	6 ms	2688 KB	Output is correct
19	Correct	6 ms	2688 KB	Output is correct
20	Correct	6 ms	2688 KB	Output is correct
21	Correct	6 ms	2688 KB	Output is correct
22	Correct	6 ms	2688 KB	Output is correct
23	Correct	6 ms	2688 KB	Output is correct
24	Correct	6 ms	2688 KB	Output is correct
25	Correct	6 ms	2688 KB	Output is correct
26	Correct	6 ms	2688 KB	Output is correct
27	Correct	6 ms	2688 KB	Output is correct
28	Correct	6 ms	2688 KB	Output is correct
29	Correct	6 ms	2688 KB	Output is correct
30	Correct	6 ms	2688 KB	Output is correct
31	Correct	6 ms	2688 KB	Output is correct
32	Correct	6 ms	2688 KB	Output is correct
33	Correct	6 ms	2688 KB	Output is correct
34	Correct	6 ms	2688 KB	Output is correct
35	Correct	6 ms	2688 KB	Output is correct
36	Correct	6 ms	2688 KB	Output is correct
37	Correct	6 ms	2688 KB	Output is correct

Subtask #2
19.0 / 19.0

#	결과	실행 시간	메모리	Grader output
1	Correct	6 ms	2688 KB	Output is correct
2	Correct	6 ms	2688 KB	Output is correct
3	Correct	6 ms	2688 KB	Output is correct
4	Correct	6 ms	2688 KB	Output is correct
5	Correct	6 ms	2688 KB	Output is correct
6	Correct	6 ms	2688 KB	Output is correct
7	Correct	5 ms	2688 KB	Output is correct
8	Correct	6 ms	2688 KB	Output is correct
9	Correct	6 ms	2688 KB	Output is correct
10	Correct	6 ms	2688 KB	Output is correct
11	Correct	6 ms	2688 KB	Output is correct
12	Correct	6 ms	2688 KB	Output is correct
13	Correct	6 ms	2688 KB	Output is correct
14	Correct	6 ms	2688 KB	Output is correct
15	Correct	6 ms	2688 KB	Output is correct
16	Correct	6 ms	2688 KB	Output is correct
17	Correct	6 ms	2688 KB	Output is correct
18	Correct	6 ms	2688 KB	Output is correct
19	Correct	6 ms	2688 KB	Output is correct
20	Correct	6 ms	2688 KB	Output is correct
21	Correct	6 ms	2688 KB	Output is correct
22	Correct	6 ms	2688 KB	Output is correct
23	Correct	6 ms	2688 KB	Output is correct
24	Correct	6 ms	2688 KB	Output is correct
25	Correct	6 ms	2688 KB	Output is correct
26	Correct	6 ms	2688 KB	Output is correct
27	Correct	6 ms	2688 KB	Output is correct
28	Correct	6 ms	2688 KB	Output is correct
29	Correct	6 ms	2688 KB	Output is correct
30	Correct	6 ms	2688 KB	Output is correct
31	Correct	6 ms	2688 KB	Output is correct
32	Correct	6 ms	2688 KB	Output is correct
33	Correct	6 ms	2688 KB	Output is correct
34	Correct	6 ms	2688 KB	Output is correct
35	Correct	6 ms	2688 KB	Output is correct
36	Correct	6 ms	2688 KB	Output is correct
37	Correct	6 ms	2688 KB	Output is correct
38	Correct	13 ms	2816 KB	Output is correct
39	Correct	13 ms	2816 KB	Output is correct
40	Correct	12 ms	2816 KB	Output is correct
41	Correct	11 ms	2816 KB	Output is correct
42	Correct	11 ms	2816 KB	Output is correct
43	Correct	11 ms	2816 KB	Output is correct
44	Correct	14 ms	2816 KB	Output is correct
45	Correct	13 ms	2816 KB	Output is correct
46	Correct	13 ms	2816 KB	Output is correct
47	Correct	13 ms	2816 KB	Output is correct
48	Correct	12 ms	2816 KB	Output is correct
49	Correct	13 ms	2816 KB	Output is correct
50	Correct	13 ms	2816 KB	Output is correct
51	Correct	12 ms	2816 KB	Output is correct
52	Correct	11 ms	2816 KB	Output is correct
53	Correct	12 ms	2816 KB	Output is correct
54	Correct	11 ms	2816 KB	Output is correct
55	Correct	10 ms	2816 KB	Output is correct
56	Correct	10 ms	2944 KB	Output is correct
57	Correct	11 ms	2816 KB	Output is correct
58	Correct	10 ms	2816 KB	Output is correct
59	Correct	9 ms	2816 KB	Output is correct
60	Correct	10 ms	2816 KB	Output is correct
61	Correct	9 ms	2816 KB	Output is correct
62	Correct	8 ms	2816 KB	Output is correct
63	Correct	9 ms	2816 KB	Output is correct
64	Correct	9 ms	2816 KB	Output is correct
65	Correct	12 ms	2816 KB	Output is correct
66	Correct	12 ms	2816 KB	Output is correct
67	Correct	13 ms	2816 KB	Output is correct
68	Correct	12 ms	2816 KB	Output is correct
69	Correct	12 ms	2816 KB	Output is correct
70	Correct	12 ms	2816 KB	Output is correct
71	Correct	11 ms	2816 KB	Output is correct
72	Correct	10 ms	2816 KB	Output is correct
73	Correct	10 ms	2816 KB	Output is correct
74	Correct	7 ms	2816 KB	Output is correct

Subtask #3
76.0 / 76.0

#	결과	실행 시간	메모리	Grader output
1	Correct	6 ms	2688 KB	Output is correct
2	Correct	6 ms	2688 KB	Output is correct
3	Correct	6 ms	2688 KB	Output is correct
4	Correct	6 ms	2688 KB	Output is correct
5	Correct	6 ms	2688 KB	Output is correct
6	Correct	6 ms	2688 KB	Output is correct
7	Correct	5 ms	2688 KB	Output is correct
8	Correct	6 ms	2688 KB	Output is correct
9	Correct	6 ms	2688 KB	Output is correct
10	Correct	6 ms	2688 KB	Output is correct
11	Correct	6 ms	2688 KB	Output is correct
12	Correct	6 ms	2688 KB	Output is correct
13	Correct	6 ms	2688 KB	Output is correct
14	Correct	6 ms	2688 KB	Output is correct
15	Correct	6 ms	2688 KB	Output is correct
16	Correct	6 ms	2688 KB	Output is correct
17	Correct	6 ms	2688 KB	Output is correct
18	Correct	6 ms	2688 KB	Output is correct
19	Correct	6 ms	2688 KB	Output is correct
20	Correct	6 ms	2688 KB	Output is correct
21	Correct	6 ms	2688 KB	Output is correct
22	Correct	6 ms	2688 KB	Output is correct
23	Correct	6 ms	2688 KB	Output is correct
24	Correct	6 ms	2688 KB	Output is correct
25	Correct	6 ms	2688 KB	Output is correct
26	Correct	6 ms	2688 KB	Output is correct
27	Correct	6 ms	2688 KB	Output is correct
28	Correct	6 ms	2688 KB	Output is correct
29	Correct	6 ms	2688 KB	Output is correct
30	Correct	6 ms	2688 KB	Output is correct
31	Correct	6 ms	2688 KB	Output is correct
32	Correct	6 ms	2688 KB	Output is correct
33	Correct	6 ms	2688 KB	Output is correct
34	Correct	6 ms	2688 KB	Output is correct
35	Correct	6 ms	2688 KB	Output is correct
36	Correct	6 ms	2688 KB	Output is correct
37	Correct	6 ms	2688 KB	Output is correct
38	Correct	13 ms	2816 KB	Output is correct
39	Correct	13 ms	2816 KB	Output is correct
40	Correct	12 ms	2816 KB	Output is correct
41	Correct	11 ms	2816 KB	Output is correct
42	Correct	11 ms	2816 KB	Output is correct
43	Correct	11 ms	2816 KB	Output is correct
44	Correct	14 ms	2816 KB	Output is correct
45	Correct	13 ms	2816 KB	Output is correct
46	Correct	13 ms	2816 KB	Output is correct
47	Correct	13 ms	2816 KB	Output is correct
48	Correct	12 ms	2816 KB	Output is correct
49	Correct	13 ms	2816 KB	Output is correct
50	Correct	13 ms	2816 KB	Output is correct
51	Correct	12 ms	2816 KB	Output is correct
52	Correct	11 ms	2816 KB	Output is correct
53	Correct	12 ms	2816 KB	Output is correct
54	Correct	11 ms	2816 KB	Output is correct
55	Correct	10 ms	2816 KB	Output is correct
56	Correct	10 ms	2944 KB	Output is correct
57	Correct	11 ms	2816 KB	Output is correct
58	Correct	10 ms	2816 KB	Output is correct
59	Correct	9 ms	2816 KB	Output is correct
60	Correct	10 ms	2816 KB	Output is correct
61	Correct	9 ms	2816 KB	Output is correct
62	Correct	8 ms	2816 KB	Output is correct
63	Correct	9 ms	2816 KB	Output is correct
64	Correct	9 ms	2816 KB	Output is correct
65	Correct	12 ms	2816 KB	Output is correct
66	Correct	12 ms	2816 KB	Output is correct
67	Correct	13 ms	2816 KB	Output is correct
68	Correct	12 ms	2816 KB	Output is correct
69	Correct	12 ms	2816 KB	Output is correct
70	Correct	12 ms	2816 KB	Output is correct
71	Correct	11 ms	2816 KB	Output is correct
72	Correct	10 ms	2816 KB	Output is correct
73	Correct	10 ms	2816 KB	Output is correct
74	Correct	7 ms	2816 KB	Output is correct
75	Correct	3530 ms	14652 KB	Output is correct
76	Correct	3750 ms	14456 KB	Output is correct
77	Correct	3304 ms	14584 KB	Output is correct
78	Correct	3658 ms	14744 KB	Output is correct
79	Correct	1123 ms	14760 KB	Output is correct
80	Correct	1755 ms	14716 KB	Output is correct
81	Correct	2774 ms	11512 KB	Output is correct
82	Correct	2940 ms	11640 KB	Output is correct
83	Correct	3189 ms	12040 KB	Output is correct
84	Correct	3034 ms	12072 KB	Output is correct
85	Correct	2780 ms	11552 KB	Output is correct
86	Correct	2284 ms	12152 KB	Output is correct
87	Correct	2224 ms	11768 KB	Output is correct
88	Correct	2615 ms	11000 KB	Output is correct
89	Correct	2714 ms	11640 KB	Output is correct
90	Correct	2957 ms	12920 KB	Output is correct
91	Correct	2332 ms	12792 KB	Output is correct
92	Correct	2499 ms	12664 KB	Output is correct
93	Correct	2609 ms	13152 KB	Output is correct
94	Correct	2683 ms	14200 KB	Output is correct
95	Correct	3030 ms	13048 KB	Output is correct
96	Correct	685 ms	11336 KB	Output is correct
97	Correct	689 ms	12152 KB	Output is correct
98	Correct	762 ms	12024 KB	Output is correct
99	Correct	752 ms	11896 KB	Output is correct
100	Correct	710 ms	11768 KB	Output is correct
101	Correct	636 ms	11384 KB	Output is correct
102	Correct	1872 ms	11384 KB	Output is correct
103	Correct	1811 ms	11128 KB	Output is correct
104	Correct	2035 ms	11584 KB	Output is correct
105	Correct	2064 ms	12280 KB	Output is correct
106	Correct	2113 ms	12280 KB	Output is correct
107	Correct	1795 ms	12812 KB	Output is correct
108	Correct	3734 ms	14720 KB	Output is correct
109	Correct	3501 ms	15468 KB	Output is correct
110	Correct	1387 ms	11640 KB	Output is correct
111	Correct	1476 ms	11232 KB	Output is correct
112	Correct	1002 ms	14200 KB	Output is correct
113	Correct	195 ms	15272 KB	Output is correct

답안 #233067

Compilation message

Subtask #1 5.0 / 5.0

Subtask #2 19.0 / 19.0

Subtask #3 76.0 / 76.0

Subtask #1
5.0 / 5.0

Subtask #2
19.0 / 19.0

Subtask #3
76.0 / 76.0