Submission #577184

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
577184	2022-06-14T08:36:31 Z	amunduzbaev	Tortoise (CEOI21_tortoise)	C++17	73 / 100	3000 ms	291576 KB

tortoise

#include "bits/stdc++.h"
using namespace std;
 
#define ar array
typedef int64_t ll;
//~ #define int int64_t

const int N = 5005;
const int inf = 1e9;
int dp[N][N], old[N][N], a[N];
int l[N], r[N], back[N][N];

signed main(){
	ios::sync_with_stdio(0); cin.tie(0);
	
	int n; cin>>n;
	for(int i=0;i<n;i++){
		l[i] = n;
		cin>>a[i];
		if(a[i] == -1) l[i] = 0;
		else if(i) l[i] = l[i-1] + 1;
	}
	for(int i=n-1;~i;i--){
		r[i] = n;
		if(a[i] == -1) r[i] = 0;
		else if(i + 1 < n) r[i] = r[i+1] + 1;
	}
	
	memset(dp, 63, sizeof dp);
	memset(back, 63, sizeof back);
	dp[0][0] = 0;
	int res = 0;
	for(int i=0;i<=n;i++){
		multiset<int> ss;
		for(int x=0;x<=n;x++){
			if(i + r[i] < N) dp[i][x] = min(dp[i][x], back[i + r[i]][x] + r[i]);
			if(a[i] > 0){
				old[i][x] = dp[i][x] - x * 2 * min(l[i], r[i]);
				if(x){
					int tmp = inf;
					if(*ss.begin() + (x - 1) * 2 * min(l[i], r[i]) <= 2 * i){
						dp[i][x] = min(dp[i][x], *ss.begin() + x * 2 * min(l[i], r[i]));
						tmp = *ss.begin() + (x - 1) * 2 * min(l[i], r[i]);
					}
					if(tmp < inf){
						res = max(res, x);
					}
					if(i + r[i] < N){
						back[i + r[i]][x] = min(back[i + r[i]][x], tmp + r[i]);
					}
				}
				ss.insert(old[i][x]);
				if(x >= a[i]){
					ss.erase(ss.find(old[i][x - a[i]]));
				}
			}
			
			dp[i+1][x] = min(dp[i+1][x], dp[i][x] + 1);
			if(dp[i][x] < inf){
				res = max(res, x);
			}
		}
	}
	
	int tot = 0;
	for(int i=0;i<n;i++){
		if(~a[i]) tot += a[i];
	}
	
	cout<<tot - res<<"\n";
}

/*

7
4 2 0 2 5 2 -1 

*/

Subtask #1
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	78 ms	196324 KB	Output is correct
2	Correct	73 ms	196332 KB	Output is correct
3	Correct	74 ms	196388 KB	Output is correct
4	Correct	71 ms	196436 KB	Output is correct
5	Correct	71 ms	196396 KB	Output is correct
6	Correct	71 ms	196380 KB	Output is correct
7	Correct	73 ms	196340 KB	Output is correct
8	Correct	72 ms	196364 KB	Output is correct
9	Correct	72 ms	196456 KB	Output is correct
10	Correct	70 ms	196344 KB	Output is correct
11	Correct	79 ms	196368 KB	Output is correct
12	Correct	71 ms	196380 KB	Output is correct
13	Correct	71 ms	196300 KB	Output is correct
14	Correct	76 ms	196308 KB	Output is correct
15	Correct	71 ms	196344 KB	Output is correct
16	Correct	70 ms	196380 KB	Output is correct
17	Correct	71 ms	196396 KB	Output is correct
18	Correct	71 ms	196332 KB	Output is correct
19	Correct	73 ms	196428 KB	Output is correct
20	Correct	74 ms	196428 KB	Output is correct
21	Correct	73 ms	196336 KB	Output is correct
22	Correct	71 ms	196296 KB	Output is correct
23	Correct	70 ms	196380 KB	Output is correct
24	Correct	70 ms	196424 KB	Output is correct
25	Correct	70 ms	196356 KB	Output is correct
26	Correct	69 ms	196376 KB	Output is correct

Subtask #2
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	78 ms	196324 KB	Output is correct
2	Correct	73 ms	196332 KB	Output is correct
3	Correct	74 ms	196388 KB	Output is correct
4	Correct	71 ms	196436 KB	Output is correct
5	Correct	71 ms	196396 KB	Output is correct
6	Correct	71 ms	196380 KB	Output is correct
7	Correct	73 ms	196340 KB	Output is correct
8	Correct	72 ms	196364 KB	Output is correct
9	Correct	72 ms	196456 KB	Output is correct
10	Correct	70 ms	196344 KB	Output is correct
11	Correct	79 ms	196368 KB	Output is correct
12	Correct	71 ms	196380 KB	Output is correct
13	Correct	71 ms	196300 KB	Output is correct
14	Correct	76 ms	196308 KB	Output is correct
15	Correct	71 ms	196344 KB	Output is correct
16	Correct	70 ms	196380 KB	Output is correct
17	Correct	71 ms	196396 KB	Output is correct
18	Correct	71 ms	196332 KB	Output is correct
19	Correct	73 ms	196428 KB	Output is correct
20	Correct	74 ms	196428 KB	Output is correct
21	Correct	73 ms	196336 KB	Output is correct
22	Correct	71 ms	196296 KB	Output is correct
23	Correct	70 ms	196380 KB	Output is correct
24	Correct	70 ms	196424 KB	Output is correct
25	Correct	70 ms	196356 KB	Output is correct
26	Correct	69 ms	196376 KB	Output is correct
27	Correct	80 ms	196884 KB	Output is correct
28	Correct	74 ms	197148 KB	Output is correct
29	Correct	71 ms	196952 KB	Output is correct
30	Correct	73 ms	196836 KB	Output is correct
31	Correct	76 ms	196820 KB	Output is correct
32	Correct	72 ms	196752 KB	Output is correct
33	Correct	72 ms	196984 KB	Output is correct
34	Correct	72 ms	196940 KB	Output is correct
35	Correct	71 ms	196808 KB	Output is correct
36	Correct	73 ms	196736 KB	Output is correct
37	Correct	74 ms	196920 KB	Output is correct
38	Correct	73 ms	196872 KB	Output is correct
39	Correct	74 ms	196944 KB	Output is correct
40	Correct	72 ms	196812 KB	Output is correct
41	Correct	72 ms	196748 KB	Output is correct

Subtask #3
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	78 ms	196324 KB	Output is correct
2	Correct	73 ms	196332 KB	Output is correct
3	Correct	74 ms	196388 KB	Output is correct
4	Correct	71 ms	196436 KB	Output is correct
5	Correct	71 ms	196396 KB	Output is correct
6	Correct	71 ms	196380 KB	Output is correct
7	Correct	73 ms	196340 KB	Output is correct
8	Correct	72 ms	196364 KB	Output is correct
9	Correct	72 ms	196456 KB	Output is correct
10	Correct	70 ms	196344 KB	Output is correct
11	Correct	79 ms	196368 KB	Output is correct
12	Correct	71 ms	196380 KB	Output is correct
13	Correct	71 ms	196300 KB	Output is correct
14	Correct	76 ms	196308 KB	Output is correct
15	Correct	71 ms	196344 KB	Output is correct
16	Correct	70 ms	196380 KB	Output is correct
17	Correct	71 ms	196396 KB	Output is correct
18	Correct	71 ms	196332 KB	Output is correct
19	Correct	73 ms	196428 KB	Output is correct
20	Correct	74 ms	196428 KB	Output is correct
21	Correct	73 ms	196336 KB	Output is correct
22	Correct	71 ms	196296 KB	Output is correct
23	Correct	70 ms	196380 KB	Output is correct
24	Correct	70 ms	196424 KB	Output is correct
25	Correct	70 ms	196356 KB	Output is correct
26	Correct	69 ms	196376 KB	Output is correct
27	Correct	80 ms	196884 KB	Output is correct
28	Correct	74 ms	197148 KB	Output is correct
29	Correct	71 ms	196952 KB	Output is correct
30	Correct	73 ms	196836 KB	Output is correct
31	Correct	76 ms	196820 KB	Output is correct
32	Correct	72 ms	196752 KB	Output is correct
33	Correct	72 ms	196984 KB	Output is correct
34	Correct	72 ms	196940 KB	Output is correct
35	Correct	71 ms	196808 KB	Output is correct
36	Correct	73 ms	196736 KB	Output is correct
37	Correct	74 ms	196920 KB	Output is correct
38	Correct	73 ms	196872 KB	Output is correct
39	Correct	74 ms	196944 KB	Output is correct
40	Correct	72 ms	196812 KB	Output is correct
41	Correct	72 ms	196748 KB	Output is correct
42	Correct	73 ms	196472 KB	Output is correct
43	Correct	73 ms	196608 KB	Output is correct
44	Correct	72 ms	196700 KB	Output is correct
45	Correct	74 ms	196744 KB	Output is correct
46	Correct	71 ms	196552 KB	Output is correct
47	Correct	72 ms	196872 KB	Output is correct
48	Correct	77 ms	196936 KB	Output is correct
49	Correct	73 ms	196788 KB	Output is correct
50	Correct	78 ms	197476 KB	Output is correct
51	Correct	84 ms	197568 KB	Output is correct
52	Correct	76 ms	197172 KB	Output is correct
53	Correct	76 ms	197804 KB	Output is correct
54	Correct	91 ms	197600 KB	Output is correct
55	Correct	77 ms	197636 KB	Output is correct
56	Correct	77 ms	196528 KB	Output is correct
57	Correct	72 ms	197036 KB	Output is correct
58	Correct	72 ms	197196 KB	Output is correct
59	Correct	74 ms	197072 KB	Output is correct
60	Correct	75 ms	197528 KB	Output is correct
61	Correct	79 ms	197028 KB	Output is correct
62	Correct	74 ms	197248 KB	Output is correct

Subtask #4
25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	78 ms	196324 KB	Output is correct
2	Correct	73 ms	196332 KB	Output is correct
3	Correct	74 ms	196388 KB	Output is correct
4	Correct	71 ms	196436 KB	Output is correct
5	Correct	71 ms	196396 KB	Output is correct
6	Correct	71 ms	196380 KB	Output is correct
7	Correct	73 ms	196340 KB	Output is correct
8	Correct	72 ms	196364 KB	Output is correct
9	Correct	72 ms	196456 KB	Output is correct
10	Correct	70 ms	196344 KB	Output is correct
11	Correct	79 ms	196368 KB	Output is correct
12	Correct	71 ms	196380 KB	Output is correct
13	Correct	71 ms	196300 KB	Output is correct
14	Correct	76 ms	196308 KB	Output is correct
15	Correct	71 ms	196344 KB	Output is correct
16	Correct	70 ms	196380 KB	Output is correct
17	Correct	71 ms	196396 KB	Output is correct
18	Correct	71 ms	196332 KB	Output is correct
19	Correct	73 ms	196428 KB	Output is correct
20	Correct	74 ms	196428 KB	Output is correct
21	Correct	73 ms	196336 KB	Output is correct
22	Correct	71 ms	196296 KB	Output is correct
23	Correct	70 ms	196380 KB	Output is correct
24	Correct	70 ms	196424 KB	Output is correct
25	Correct	70 ms	196356 KB	Output is correct
26	Correct	69 ms	196376 KB	Output is correct
27	Correct	80 ms	196884 KB	Output is correct
28	Correct	74 ms	197148 KB	Output is correct
29	Correct	71 ms	196952 KB	Output is correct
30	Correct	73 ms	196836 KB	Output is correct
31	Correct	76 ms	196820 KB	Output is correct
32	Correct	72 ms	196752 KB	Output is correct
33	Correct	72 ms	196984 KB	Output is correct
34	Correct	72 ms	196940 KB	Output is correct
35	Correct	71 ms	196808 KB	Output is correct
36	Correct	73 ms	196736 KB	Output is correct
37	Correct	74 ms	196920 KB	Output is correct
38	Correct	73 ms	196872 KB	Output is correct
39	Correct	74 ms	196944 KB	Output is correct
40	Correct	72 ms	196812 KB	Output is correct
41	Correct	72 ms	196748 KB	Output is correct
42	Correct	73 ms	196472 KB	Output is correct
43	Correct	73 ms	196608 KB	Output is correct
44	Correct	72 ms	196700 KB	Output is correct
45	Correct	74 ms	196744 KB	Output is correct
46	Correct	71 ms	196552 KB	Output is correct
47	Correct	72 ms	196872 KB	Output is correct
48	Correct	77 ms	196936 KB	Output is correct
49	Correct	73 ms	196788 KB	Output is correct
50	Correct	78 ms	197476 KB	Output is correct
51	Correct	84 ms	197568 KB	Output is correct
52	Correct	76 ms	197172 KB	Output is correct
53	Correct	76 ms	197804 KB	Output is correct
54	Correct	91 ms	197600 KB	Output is correct
55	Correct	77 ms	197636 KB	Output is correct
56	Correct	77 ms	196528 KB	Output is correct
57	Correct	72 ms	197036 KB	Output is correct
58	Correct	72 ms	197196 KB	Output is correct
59	Correct	74 ms	197072 KB	Output is correct
60	Correct	75 ms	197528 KB	Output is correct
61	Correct	79 ms	197028 KB	Output is correct
62	Correct	74 ms	197248 KB	Output is correct
63	Correct	408 ms	228812 KB	Output is correct
64	Correct	796 ms	256628 KB	Output is correct
65	Correct	448 ms	228844 KB	Output is correct
66	Correct	550 ms	239376 KB	Output is correct
67	Correct	565 ms	241724 KB	Output is correct
68	Correct	483 ms	231988 KB	Output is correct
69	Correct	560 ms	239344 KB	Output is correct
70	Correct	636 ms	246464 KB	Output is correct
71	Correct	2311 ms	286528 KB	Output is correct
72	Correct	2160 ms	288672 KB	Output is correct
73	Correct	2163 ms	291576 KB	Output is correct
74	Correct	2309 ms	287480 KB	Output is correct
75	Correct	162 ms	197160 KB	Output is correct
76	Correct	842 ms	258160 KB	Output is correct
77	Correct	778 ms	259356 KB	Output is correct
78	Correct	799 ms	260816 KB	Output is correct
79	Correct	787 ms	259432 KB	Output is correct
80	Correct	659 ms	250240 KB	Output is correct
81	Correct	692 ms	252348 KB	Output is correct
82	Correct	735 ms	255460 KB	Output is correct
83	Correct	900 ms	267284 KB	Output is correct
84	Correct	1249 ms	252368 KB	Output is correct
85	Correct	1331 ms	255564 KB	Output is correct
86	Correct	1464 ms	261044 KB	Output is correct
87	Correct	1647 ms	267316 KB	Output is correct
88	Correct	1209 ms	250576 KB	Output is correct

Subtask #5
0 / 27.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	78 ms	196324 KB	Output is correct
2	Correct	73 ms	196332 KB	Output is correct
3	Correct	74 ms	196388 KB	Output is correct
4	Correct	71 ms	196436 KB	Output is correct
5	Correct	71 ms	196396 KB	Output is correct
6	Correct	71 ms	196380 KB	Output is correct
7	Correct	73 ms	196340 KB	Output is correct
8	Correct	72 ms	196364 KB	Output is correct
9	Correct	72 ms	196456 KB	Output is correct
10	Correct	70 ms	196344 KB	Output is correct
11	Correct	79 ms	196368 KB	Output is correct
12	Correct	71 ms	196380 KB	Output is correct
13	Correct	71 ms	196300 KB	Output is correct
14	Correct	76 ms	196308 KB	Output is correct
15	Correct	71 ms	196344 KB	Output is correct
16	Correct	70 ms	196380 KB	Output is correct
17	Correct	71 ms	196396 KB	Output is correct
18	Correct	71 ms	196332 KB	Output is correct
19	Correct	73 ms	196428 KB	Output is correct
20	Correct	74 ms	196428 KB	Output is correct
21	Correct	73 ms	196336 KB	Output is correct
22	Correct	71 ms	196296 KB	Output is correct
23	Correct	70 ms	196380 KB	Output is correct
24	Correct	70 ms	196424 KB	Output is correct
25	Correct	70 ms	196356 KB	Output is correct
26	Correct	69 ms	196376 KB	Output is correct
27	Correct	80 ms	196884 KB	Output is correct
28	Correct	74 ms	197148 KB	Output is correct
29	Correct	71 ms	196952 KB	Output is correct
30	Correct	73 ms	196836 KB	Output is correct
31	Correct	76 ms	196820 KB	Output is correct
32	Correct	72 ms	196752 KB	Output is correct
33	Correct	72 ms	196984 KB	Output is correct
34	Correct	72 ms	196940 KB	Output is correct
35	Correct	71 ms	196808 KB	Output is correct
36	Correct	73 ms	196736 KB	Output is correct
37	Correct	74 ms	196920 KB	Output is correct
38	Correct	73 ms	196872 KB	Output is correct
39	Correct	74 ms	196944 KB	Output is correct
40	Correct	72 ms	196812 KB	Output is correct
41	Correct	72 ms	196748 KB	Output is correct
42	Correct	73 ms	196472 KB	Output is correct
43	Correct	73 ms	196608 KB	Output is correct
44	Correct	72 ms	196700 KB	Output is correct
45	Correct	74 ms	196744 KB	Output is correct
46	Correct	71 ms	196552 KB	Output is correct
47	Correct	72 ms	196872 KB	Output is correct
48	Correct	77 ms	196936 KB	Output is correct
49	Correct	73 ms	196788 KB	Output is correct
50	Correct	78 ms	197476 KB	Output is correct
51	Correct	84 ms	197568 KB	Output is correct
52	Correct	76 ms	197172 KB	Output is correct
53	Correct	76 ms	197804 KB	Output is correct
54	Correct	91 ms	197600 KB	Output is correct
55	Correct	77 ms	197636 KB	Output is correct
56	Correct	77 ms	196528 KB	Output is correct
57	Correct	72 ms	197036 KB	Output is correct
58	Correct	72 ms	197196 KB	Output is correct
59	Correct	74 ms	197072 KB	Output is correct
60	Correct	75 ms	197528 KB	Output is correct
61	Correct	79 ms	197028 KB	Output is correct
62	Correct	74 ms	197248 KB	Output is correct
63	Correct	408 ms	228812 KB	Output is correct
64	Correct	796 ms	256628 KB	Output is correct
65	Correct	448 ms	228844 KB	Output is correct
66	Correct	550 ms	239376 KB	Output is correct
67	Correct	565 ms	241724 KB	Output is correct
68	Correct	483 ms	231988 KB	Output is correct
69	Correct	560 ms	239344 KB	Output is correct
70	Correct	636 ms	246464 KB	Output is correct
71	Correct	2311 ms	286528 KB	Output is correct
72	Correct	2160 ms	288672 KB	Output is correct
73	Correct	2163 ms	291576 KB	Output is correct
74	Correct	2309 ms	287480 KB	Output is correct
75	Correct	162 ms	197160 KB	Output is correct
76	Correct	842 ms	258160 KB	Output is correct
77	Correct	778 ms	259356 KB	Output is correct
78	Correct	799 ms	260816 KB	Output is correct
79	Correct	787 ms	259432 KB	Output is correct
80	Correct	659 ms	250240 KB	Output is correct
81	Correct	692 ms	252348 KB	Output is correct
82	Correct	735 ms	255460 KB	Output is correct
83	Correct	900 ms	267284 KB	Output is correct
84	Correct	1249 ms	252368 KB	Output is correct
85	Correct	1331 ms	255564 KB	Output is correct
86	Correct	1464 ms	261044 KB	Output is correct
87	Correct	1647 ms	267316 KB	Output is correct
88	Correct	1209 ms	250576 KB	Output is correct
89	Execution timed out	3062 ms	222796 KB	Time limit exceeded
90	Halted	0 ms	0 KB	-

Submission #577184

Compilation message

Subtask #1 8.0 / 8.0

Subtask #2 10.0 / 10.0

Subtask #3 30.0 / 30.0

Subtask #4 25.0 / 25.0

Subtask #5 0 / 27.0

Subtask #1
8.0 / 8.0

Subtask #2
10.0 / 10.0

Subtask #3
30.0 / 30.0

Subtask #4
25.0 / 25.0

Subtask #5
0 / 27.0