Submission #940717

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
940717	2024-03-07T14:06:26 Z	TAhmed33	Let's Win the Election (JOI22_ho_t3)	C++	100 / 100	512 ms	8836 KB

Main

#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
const ld inf = 1e16;
int n, k; 
const int MAXN = 525;
pair <int, int> a[MAXN];
ld pre[MAXN][MAXN];
int main () {
    cin >> n >> k;
    for (int i = 1; i <= n; i++) cin >> a[i].first >> a[i].second;
    cout << fixed << setprecision(9);
    sort(a + 1, a + n + 1, [&] (pair <int, int> &x, pair <int, int> &y) {
    	if (x.second == -1) return bool(0);
        return x.second == y.second ? x.first < y.first : ((y.second == -1) || (x.second < y.second));
    });
    for (int i = 0; i < MAXN; i++) for (int j = 0; j < MAXN; j++) pre[i][j] = inf;
    for (int i = 1; i <= n; i++) {
    	vector <int> xx;
    	for (int j = i; j <= n; j++) xx.push_back(a[j].first);
    	sort(xx.begin(), xx.end());
    	int sum = 0;
    	for (int j = 0; j < (int)xx.size(); j++) {
    		sum += xx[j];
    		pre[i][j + 1] = sum; 
    	}
    	pre[i][0] = 0;
    }
    ld mn = 1e18;
    for (int sze = 0; sze <= k; sze++) {
        ld dp[n + 1][sze + 1];
        for (int j = 1; j <= sze; j++) {
            dp[0][j] = inf;
        }
        dp[0][0] = 0; 
        mn = min(mn, 1.0 * pre[1][k] / (sze + 1) + dp[0][sze]);
        for (int i = 1; i <= n; i++) {
        	for (int j = 0; j <= sze; j++) dp[i][j] = inf;
        	for (int j = 0; j <= min(sze, i); j++) {
        		if (i - j) dp[i][j] = dp[i - 1][j] + 1.0 * a[i].first / (sze + 1);
        		if (a[i].second != -1 && j) dp[i][j] = min(dp[i][j], dp[i - 1][j - 1] + 1.0 * a[i].second / j);
        	}
        	if (k >= i) {
        		mn = min(mn, 1.0 * pre[i + 1][k - i] / (sze + 1) + dp[i][sze]);
        	}
        	if (k == i) {
        		mn = min(mn, dp[i][sze]);
        	}
        }
    }
    cout << mn << '\n';
}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4700 KB	Output is correct
2	Correct	2 ms	4700 KB	Output is correct
3	Correct	1 ms	4700 KB	Output is correct
4	Correct	3 ms	4696 KB	Output is correct
5	Correct	10 ms	4956 KB	Output is correct
6	Correct	27 ms	5612 KB	Output is correct
7	Correct	88 ms	6548 KB	Output is correct
8	Correct	173 ms	7508 KB	Output is correct
9	Correct	278 ms	8464 KB	Output is correct
10	Correct	145 ms	7248 KB	Output is correct

Subtask #2
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4700 KB	Output is correct
2	Correct	2 ms	4700 KB	Output is correct
3	Correct	1 ms	4700 KB	Output is correct
4	Correct	3 ms	4696 KB	Output is correct
5	Correct	10 ms	4956 KB	Output is correct
6	Correct	27 ms	5612 KB	Output is correct
7	Correct	88 ms	6548 KB	Output is correct
8	Correct	173 ms	7508 KB	Output is correct
9	Correct	278 ms	8464 KB	Output is correct
10	Correct	145 ms	7248 KB	Output is correct
11	Correct	2 ms	4696 KB	Output is correct
12	Correct	61 ms	5816 KB	Output is correct
13	Correct	51 ms	5716 KB	Output is correct
14	Correct	39 ms	5716 KB	Output is correct
15	Correct	279 ms	7388 KB	Output is correct
16	Correct	206 ms	7248 KB	Output is correct
17	Correct	158 ms	7420 KB	Output is correct
18	Correct	502 ms	8496 KB	Output is correct
19	Correct	381 ms	8592 KB	Output is correct
20	Correct	287 ms	8788 KB	Output is correct

Subtask #3
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4696 KB	Output is correct
2	Correct	2 ms	4696 KB	Output is correct
3	Correct	1 ms	4700 KB	Output is correct
4	Correct	1 ms	4700 KB	Output is correct
5	Correct	1 ms	4700 KB	Output is correct
6	Correct	1 ms	4700 KB	Output is correct
7	Correct	1 ms	4700 KB	Output is correct
8	Correct	1 ms	4700 KB	Output is correct
9	Correct	2 ms	4700 KB	Output is correct
10	Correct	1 ms	4700 KB	Output is correct
11	Correct	2 ms	4700 KB	Output is correct
12	Correct	1 ms	4700 KB	Output is correct
13	Correct	1 ms	4700 KB	Output is correct
14	Correct	1 ms	4700 KB	Output is correct
15	Correct	1 ms	4700 KB	Output is correct

Subtask #4
12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4696 KB	Output is correct
2	Correct	2 ms	4696 KB	Output is correct
3	Correct	1 ms	4700 KB	Output is correct
4	Correct	1 ms	4700 KB	Output is correct
5	Correct	1 ms	4700 KB	Output is correct
6	Correct	1 ms	4700 KB	Output is correct
7	Correct	1 ms	4700 KB	Output is correct
8	Correct	1 ms	4700 KB	Output is correct
9	Correct	2 ms	4700 KB	Output is correct
10	Correct	1 ms	4700 KB	Output is correct
11	Correct	2 ms	4700 KB	Output is correct
12	Correct	1 ms	4700 KB	Output is correct
13	Correct	1 ms	4700 KB	Output is correct
14	Correct	1 ms	4700 KB	Output is correct
15	Correct	1 ms	4700 KB	Output is correct
16	Correct	1 ms	4700 KB	Output is correct
17	Correct	1 ms	4700 KB	Output is correct
18	Correct	1 ms	4696 KB	Output is correct
19	Correct	1 ms	4700 KB	Output is correct
20	Correct	1 ms	4700 KB	Output is correct
21	Correct	1 ms	4716 KB	Output is correct
22	Correct	2 ms	4700 KB	Output is correct
23	Correct	1 ms	4700 KB	Output is correct
24	Correct	1 ms	4700 KB	Output is correct
25	Correct	1 ms	4720 KB	Output is correct
26	Correct	2 ms	4700 KB	Output is correct
27	Correct	1 ms	4700 KB	Output is correct
28	Correct	2 ms	4700 KB	Output is correct
29	Correct	2 ms	4700 KB	Output is correct
30	Correct	1 ms	4700 KB	Output is correct
31	Correct	2 ms	4696 KB	Output is correct
32	Correct	1 ms	4696 KB	Output is correct
33	Correct	1 ms	4696 KB	Output is correct
34	Correct	1 ms	4696 KB	Output is correct
35	Correct	1 ms	4700 KB	Output is correct
36	Correct	1 ms	4700 KB	Output is correct
37	Correct	1 ms	4700 KB	Output is correct
38	Correct	1 ms	4700 KB	Output is correct
39	Correct	1 ms	4700 KB	Output is correct
40	Correct	1 ms	4700 KB	Output is correct

Subtask #5
33.0 / 33.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4696 KB	Output is correct
2	Correct	2 ms	4696 KB	Output is correct
3	Correct	1 ms	4700 KB	Output is correct
4	Correct	1 ms	4700 KB	Output is correct
5	Correct	1 ms	4700 KB	Output is correct
6	Correct	1 ms	4700 KB	Output is correct
7	Correct	1 ms	4700 KB	Output is correct
8	Correct	1 ms	4700 KB	Output is correct
9	Correct	2 ms	4700 KB	Output is correct
10	Correct	1 ms	4700 KB	Output is correct
11	Correct	2 ms	4700 KB	Output is correct
12	Correct	1 ms	4700 KB	Output is correct
13	Correct	1 ms	4700 KB	Output is correct
14	Correct	1 ms	4700 KB	Output is correct
15	Correct	1 ms	4700 KB	Output is correct
16	Correct	1 ms	4700 KB	Output is correct
17	Correct	1 ms	4700 KB	Output is correct
18	Correct	1 ms	4696 KB	Output is correct
19	Correct	1 ms	4700 KB	Output is correct
20	Correct	1 ms	4700 KB	Output is correct
21	Correct	1 ms	4716 KB	Output is correct
22	Correct	2 ms	4700 KB	Output is correct
23	Correct	1 ms	4700 KB	Output is correct
24	Correct	1 ms	4700 KB	Output is correct
25	Correct	1 ms	4720 KB	Output is correct
26	Correct	2 ms	4700 KB	Output is correct
27	Correct	1 ms	4700 KB	Output is correct
28	Correct	2 ms	4700 KB	Output is correct
29	Correct	2 ms	4700 KB	Output is correct
30	Correct	1 ms	4700 KB	Output is correct
31	Correct	2 ms	4696 KB	Output is correct
32	Correct	1 ms	4696 KB	Output is correct
33	Correct	1 ms	4696 KB	Output is correct
34	Correct	1 ms	4696 KB	Output is correct
35	Correct	1 ms	4700 KB	Output is correct
36	Correct	1 ms	4700 KB	Output is correct
37	Correct	1 ms	4700 KB	Output is correct
38	Correct	1 ms	4700 KB	Output is correct
39	Correct	1 ms	4700 KB	Output is correct
40	Correct	1 ms	4700 KB	Output is correct
41	Correct	2 ms	4700 KB	Output is correct
42	Correct	2 ms	4700 KB	Output is correct
43	Correct	2 ms	4700 KB	Output is correct
44	Correct	2 ms	4760 KB	Output is correct
45	Correct	3 ms	4700 KB	Output is correct
46	Correct	3 ms	4952 KB	Output is correct
47	Correct	4 ms	4700 KB	Output is correct
48	Correct	3 ms	4700 KB	Output is correct
49	Correct	4 ms	4820 KB	Output is correct
50	Correct	4 ms	4700 KB	Output is correct
51	Correct	5 ms	4840 KB	Output is correct
52	Correct	6 ms	4700 KB	Output is correct
53	Correct	4 ms	4704 KB	Output is correct
54	Correct	4 ms	4708 KB	Output is correct
55	Correct	3 ms	4704 KB	Output is correct
56	Correct	4 ms	4696 KB	Output is correct
57	Correct	4 ms	4704 KB	Output is correct
58	Correct	3 ms	4856 KB	Output is correct
59	Correct	4 ms	4704 KB	Output is correct
60	Correct	4 ms	4812 KB	Output is correct

Subtask #6
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	498 ms	8468 KB	Output is correct
2	Correct	492 ms	8644 KB	Output is correct
3	Correct	512 ms	8532 KB	Output is correct
4	Correct	496 ms	8616 KB	Output is correct
5	Correct	492 ms	8460 KB	Output is correct
6	Correct	502 ms	8480 KB	Output is correct
7	Correct	510 ms	8836 KB	Output is correct

Subtask #7
23.0 / 23.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4700 KB	Output is correct
2	Correct	2 ms	4700 KB	Output is correct
3	Correct	1 ms	4700 KB	Output is correct
4	Correct	3 ms	4696 KB	Output is correct
5	Correct	10 ms	4956 KB	Output is correct
6	Correct	27 ms	5612 KB	Output is correct
7	Correct	88 ms	6548 KB	Output is correct
8	Correct	173 ms	7508 KB	Output is correct
9	Correct	278 ms	8464 KB	Output is correct
10	Correct	145 ms	7248 KB	Output is correct
11	Correct	2 ms	4696 KB	Output is correct
12	Correct	61 ms	5816 KB	Output is correct
13	Correct	51 ms	5716 KB	Output is correct
14	Correct	39 ms	5716 KB	Output is correct
15	Correct	279 ms	7388 KB	Output is correct
16	Correct	206 ms	7248 KB	Output is correct
17	Correct	158 ms	7420 KB	Output is correct
18	Correct	502 ms	8496 KB	Output is correct
19	Correct	381 ms	8592 KB	Output is correct
20	Correct	287 ms	8788 KB	Output is correct
21	Correct	1 ms	4696 KB	Output is correct
22	Correct	2 ms	4696 KB	Output is correct
23	Correct	1 ms	4700 KB	Output is correct
24	Correct	1 ms	4700 KB	Output is correct
25	Correct	1 ms	4700 KB	Output is correct
26	Correct	1 ms	4700 KB	Output is correct
27	Correct	1 ms	4700 KB	Output is correct
28	Correct	1 ms	4700 KB	Output is correct
29	Correct	2 ms	4700 KB	Output is correct
30	Correct	1 ms	4700 KB	Output is correct
31	Correct	2 ms	4700 KB	Output is correct
32	Correct	1 ms	4700 KB	Output is correct
33	Correct	1 ms	4700 KB	Output is correct
34	Correct	1 ms	4700 KB	Output is correct
35	Correct	1 ms	4700 KB	Output is correct
36	Correct	1 ms	4700 KB	Output is correct
37	Correct	1 ms	4700 KB	Output is correct
38	Correct	1 ms	4696 KB	Output is correct
39	Correct	1 ms	4700 KB	Output is correct
40	Correct	1 ms	4700 KB	Output is correct
41	Correct	1 ms	4716 KB	Output is correct
42	Correct	2 ms	4700 KB	Output is correct
43	Correct	1 ms	4700 KB	Output is correct
44	Correct	1 ms	4700 KB	Output is correct
45	Correct	1 ms	4720 KB	Output is correct
46	Correct	2 ms	4700 KB	Output is correct
47	Correct	1 ms	4700 KB	Output is correct
48	Correct	2 ms	4700 KB	Output is correct
49	Correct	2 ms	4700 KB	Output is correct
50	Correct	1 ms	4700 KB	Output is correct
51	Correct	2 ms	4696 KB	Output is correct
52	Correct	1 ms	4696 KB	Output is correct
53	Correct	1 ms	4696 KB	Output is correct
54	Correct	1 ms	4696 KB	Output is correct
55	Correct	1 ms	4700 KB	Output is correct
56	Correct	1 ms	4700 KB	Output is correct
57	Correct	1 ms	4700 KB	Output is correct
58	Correct	1 ms	4700 KB	Output is correct
59	Correct	1 ms	4700 KB	Output is correct
60	Correct	1 ms	4700 KB	Output is correct
61	Correct	2 ms	4700 KB	Output is correct
62	Correct	2 ms	4700 KB	Output is correct
63	Correct	2 ms	4700 KB	Output is correct
64	Correct	2 ms	4760 KB	Output is correct
65	Correct	3 ms	4700 KB	Output is correct
66	Correct	3 ms	4952 KB	Output is correct
67	Correct	4 ms	4700 KB	Output is correct
68	Correct	3 ms	4700 KB	Output is correct
69	Correct	4 ms	4820 KB	Output is correct
70	Correct	4 ms	4700 KB	Output is correct
71	Correct	5 ms	4840 KB	Output is correct
72	Correct	6 ms	4700 KB	Output is correct
73	Correct	4 ms	4704 KB	Output is correct
74	Correct	4 ms	4708 KB	Output is correct
75	Correct	3 ms	4704 KB	Output is correct
76	Correct	4 ms	4696 KB	Output is correct
77	Correct	4 ms	4704 KB	Output is correct
78	Correct	3 ms	4856 KB	Output is correct
79	Correct	4 ms	4704 KB	Output is correct
80	Correct	4 ms	4812 KB	Output is correct
81	Correct	498 ms	8468 KB	Output is correct
82	Correct	492 ms	8644 KB	Output is correct
83	Correct	512 ms	8532 KB	Output is correct
84	Correct	496 ms	8616 KB	Output is correct
85	Correct	492 ms	8460 KB	Output is correct
86	Correct	502 ms	8480 KB	Output is correct
87	Correct	510 ms	8836 KB	Output is correct
88	Correct	12 ms	4996 KB	Output is correct
89	Correct	13 ms	4956 KB	Output is correct
90	Correct	46 ms	5536 KB	Output is correct
91	Correct	47 ms	5720 KB	Output is correct
92	Correct	152 ms	6644 KB	Output is correct
93	Correct	153 ms	6664 KB	Output is correct
94	Correct	306 ms	7508 KB	Output is correct
95	Correct	324 ms	7684 KB	Output is correct
96	Correct	425 ms	8164 KB	Output is correct
97	Correct	432 ms	8448 KB	Output is correct
98	Correct	276 ms	7388 KB	Output is correct
99	Correct	287 ms	7660 KB	Output is correct
100	Correct	272 ms	7400 KB	Output is correct
101	Correct	304 ms	7372 KB	Output is correct
102	Correct	279 ms	7340 KB	Output is correct
103	Correct	276 ms	7248 KB	Output is correct
104	Correct	281 ms	7400 KB	Output is correct
105	Correct	271 ms	7328 KB	Output is correct

Submission #940717

Compilation message

Subtask #1 5.0 / 5.0

Subtask #2 5.0 / 5.0

Subtask #3 11.0 / 11.0

Subtask #4 12.0 / 12.0

Subtask #5 33.0 / 33.0

Subtask #6 11.0 / 11.0

Subtask #7 23.0 / 23.0

Subtask #1
5.0 / 5.0

Subtask #2
5.0 / 5.0

Subtask #3
11.0 / 11.0

Subtask #4
12.0 / 12.0

Subtask #5
33.0 / 33.0

Subtask #6
11.0 / 11.0

Subtask #7
23.0 / 23.0