#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define rep(a, b) for(int a = 0; a < (b); ++a)
#define st first
#define nd second
#define pb push_back
#define all(a) a.begin(), a.end()
const int LIM=507;
const ld INF=1e9+7;
pair<int,int>T[LIM];
ld dp[LIM][LIM];
int n, k;
ld solve(int m) {
rep(i, n+1) rep(j, k+1) dp[i][j]=INF;
dp[0][0]=0;
for(int i=1; i<=n; ++i) {
for(int j=0; j<=i; ++j) {
int l=min(i-j, m);
if(j) {
ld x=T[i-1].nd; x/=m+1;
dp[i][j]=min(dp[i][j], dp[i-1][j-1]+x);
}
if(j<i) {
ld x=T[i-1].st; x/=l;
dp[i][j]=min(dp[i][j], dp[i-1][j]+x);
if(i-j>m) {
dp[i][j]=min(dp[i][j], dp[i-1][j]);
}
}
}
}
return dp[n][k-m];
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> k;
rep(i, n) {
cin >> T[i].nd >> T[i].st;
if(T[i].st==-1) T[i].st=INF;
}
sort(T, T+n);
ld ans=INF;
rep(i, k+1) ans=min(ans, solve(i));
cout << fixed << setprecision(3) << ans << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
120 ms |
3824 KB |
Output is correct |
6 |
Correct |
305 ms |
3900 KB |
Output is correct |
7 |
Correct |
604 ms |
4284 KB |
Output is correct |
8 |
Correct |
1078 ms |
4288 KB |
Output is correct |
9 |
Correct |
1621 ms |
4288 KB |
Output is correct |
10 |
Correct |
971 ms |
4308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
120 ms |
3824 KB |
Output is correct |
6 |
Correct |
305 ms |
3900 KB |
Output is correct |
7 |
Correct |
604 ms |
4284 KB |
Output is correct |
8 |
Correct |
1078 ms |
4288 KB |
Output is correct |
9 |
Correct |
1621 ms |
4288 KB |
Output is correct |
10 |
Correct |
971 ms |
4308 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
362 ms |
3944 KB |
Output is correct |
13 |
Correct |
371 ms |
4044 KB |
Output is correct |
14 |
Correct |
351 ms |
3944 KB |
Output is correct |
15 |
Correct |
962 ms |
4288 KB |
Output is correct |
16 |
Correct |
925 ms |
4300 KB |
Output is correct |
17 |
Correct |
963 ms |
4288 KB |
Output is correct |
18 |
Correct |
1539 ms |
4408 KB |
Output is correct |
19 |
Correct |
1547 ms |
4284 KB |
Output is correct |
20 |
Correct |
1578 ms |
4288 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
464 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
328 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
328 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
464 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
328 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
328 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
0 ms |
340 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 |
336 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
0 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 |
340 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 |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
324 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
328 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
464 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
328 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
328 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
0 ms |
340 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 |
336 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
0 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 |
340 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 |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
324 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
328 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
3 ms |
724 KB |
Output is correct |
42 |
Correct |
2 ms |
724 KB |
Output is correct |
43 |
Correct |
4 ms |
708 KB |
Output is correct |
44 |
Correct |
4 ms |
724 KB |
Output is correct |
45 |
Correct |
5 ms |
724 KB |
Output is correct |
46 |
Correct |
6 ms |
840 KB |
Output is correct |
47 |
Correct |
8 ms |
836 KB |
Output is correct |
48 |
Correct |
8 ms |
856 KB |
Output is correct |
49 |
Correct |
13 ms |
872 KB |
Output is correct |
50 |
Correct |
10 ms |
864 KB |
Output is correct |
51 |
Correct |
14 ms |
900 KB |
Output is correct |
52 |
Correct |
14 ms |
896 KB |
Output is correct |
53 |
Correct |
11 ms |
852 KB |
Output is correct |
54 |
Correct |
11 ms |
840 KB |
Output is correct |
55 |
Correct |
11 ms |
840 KB |
Output is correct |
56 |
Correct |
11 ms |
856 KB |
Output is correct |
57 |
Correct |
9 ms |
732 KB |
Output is correct |
58 |
Correct |
8 ms |
852 KB |
Output is correct |
59 |
Correct |
8 ms |
852 KB |
Output is correct |
60 |
Correct |
8 ms |
852 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1650 ms |
4296 KB |
Output is correct |
2 |
Correct |
1628 ms |
4284 KB |
Output is correct |
3 |
Correct |
1571 ms |
4308 KB |
Output is correct |
4 |
Correct |
1542 ms |
4288 KB |
Output is correct |
5 |
Correct |
1586 ms |
4296 KB |
Output is correct |
6 |
Correct |
1553 ms |
4288 KB |
Output is correct |
7 |
Correct |
1533 ms |
4288 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
120 ms |
3824 KB |
Output is correct |
6 |
Correct |
305 ms |
3900 KB |
Output is correct |
7 |
Correct |
604 ms |
4284 KB |
Output is correct |
8 |
Correct |
1078 ms |
4288 KB |
Output is correct |
9 |
Correct |
1621 ms |
4288 KB |
Output is correct |
10 |
Correct |
971 ms |
4308 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
362 ms |
3944 KB |
Output is correct |
13 |
Correct |
371 ms |
4044 KB |
Output is correct |
14 |
Correct |
351 ms |
3944 KB |
Output is correct |
15 |
Correct |
962 ms |
4288 KB |
Output is correct |
16 |
Correct |
925 ms |
4300 KB |
Output is correct |
17 |
Correct |
963 ms |
4288 KB |
Output is correct |
18 |
Correct |
1539 ms |
4408 KB |
Output is correct |
19 |
Correct |
1547 ms |
4284 KB |
Output is correct |
20 |
Correct |
1578 ms |
4288 KB |
Output is correct |
21 |
Correct |
1 ms |
464 KB |
Output is correct |
22 |
Correct |
1 ms |
332 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 |
340 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 |
328 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
328 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
0 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
1 ms |
340 KB |
Output is correct |
42 |
Correct |
1 ms |
336 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
0 ms |
340 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
340 KB |
Output is correct |
47 |
Correct |
1 ms |
340 KB |
Output is correct |
48 |
Correct |
1 ms |
340 KB |
Output is correct |
49 |
Correct |
1 ms |
340 KB |
Output is correct |
50 |
Correct |
1 ms |
340 KB |
Output is correct |
51 |
Correct |
1 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
340 KB |
Output is correct |
53 |
Correct |
1 ms |
340 KB |
Output is correct |
54 |
Correct |
1 ms |
324 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
1 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
328 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
3 ms |
724 KB |
Output is correct |
62 |
Correct |
2 ms |
724 KB |
Output is correct |
63 |
Correct |
4 ms |
708 KB |
Output is correct |
64 |
Correct |
4 ms |
724 KB |
Output is correct |
65 |
Correct |
5 ms |
724 KB |
Output is correct |
66 |
Correct |
6 ms |
840 KB |
Output is correct |
67 |
Correct |
8 ms |
836 KB |
Output is correct |
68 |
Correct |
8 ms |
856 KB |
Output is correct |
69 |
Correct |
13 ms |
872 KB |
Output is correct |
70 |
Correct |
10 ms |
864 KB |
Output is correct |
71 |
Correct |
14 ms |
900 KB |
Output is correct |
72 |
Correct |
14 ms |
896 KB |
Output is correct |
73 |
Correct |
11 ms |
852 KB |
Output is correct |
74 |
Correct |
11 ms |
840 KB |
Output is correct |
75 |
Correct |
11 ms |
840 KB |
Output is correct |
76 |
Correct |
11 ms |
856 KB |
Output is correct |
77 |
Correct |
9 ms |
732 KB |
Output is correct |
78 |
Correct |
8 ms |
852 KB |
Output is correct |
79 |
Correct |
8 ms |
852 KB |
Output is correct |
80 |
Correct |
8 ms |
852 KB |
Output is correct |
81 |
Correct |
1650 ms |
4296 KB |
Output is correct |
82 |
Correct |
1628 ms |
4284 KB |
Output is correct |
83 |
Correct |
1571 ms |
4308 KB |
Output is correct |
84 |
Correct |
1542 ms |
4288 KB |
Output is correct |
85 |
Correct |
1586 ms |
4296 KB |
Output is correct |
86 |
Correct |
1553 ms |
4288 KB |
Output is correct |
87 |
Correct |
1533 ms |
4288 KB |
Output is correct |
88 |
Correct |
106 ms |
3916 KB |
Output is correct |
89 |
Correct |
108 ms |
3832 KB |
Output is correct |
90 |
Correct |
277 ms |
3900 KB |
Output is correct |
91 |
Correct |
275 ms |
3924 KB |
Output is correct |
92 |
Correct |
624 ms |
4300 KB |
Output is correct |
93 |
Correct |
615 ms |
4284 KB |
Output is correct |
94 |
Correct |
1032 ms |
4296 KB |
Output is correct |
95 |
Correct |
1004 ms |
4300 KB |
Output is correct |
96 |
Correct |
1273 ms |
4284 KB |
Output is correct |
97 |
Correct |
1290 ms |
4288 KB |
Output is correct |
98 |
Correct |
902 ms |
4288 KB |
Output is correct |
99 |
Correct |
947 ms |
4296 KB |
Output is correct |
100 |
Correct |
933 ms |
4288 KB |
Output is correct |
101 |
Correct |
957 ms |
4296 KB |
Output is correct |
102 |
Correct |
942 ms |
4308 KB |
Output is correct |
103 |
Correct |
945 ms |
4308 KB |
Output is correct |
104 |
Correct |
944 ms |
4288 KB |
Output is correct |
105 |
Correct |
934 ms |
4300 KB |
Output is correct |