/* Author : Mychecksdead */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define MOD (1000000000+7)
#define MOD1 (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
const int N = 502, M = 1e5+10, K = 52, MX = 30;
int n, k, sum[N][N];
array<int, 2> a[N];
double dp[N][N][N];
void solve(){
cin >> n >> k;
for(int i = 1; i <= n; ++i){
cin >> a[i][1] >> a[i][0];
if(a[i][0] == -1) a[i][0] = MOD;
}
sort(a+1, a+1+n);
for(int j = 0; j <= n; ++j) sum[n+1][j] = 0;
for(int i = n; i >= 1; --i){
for(int j = 0; j < n - i + 1; ++j){
sum[i][j] = min(sum[i + 1][j], j == 0 ? MOD : sum[i + 1][j - 1] + a[i][1]);
}
sum[i][n - i + 1] = sum[i + 1][n - i] + a[i][1];
}
double ans = sum[1][k];
for(int i = 0; i <= n; ++i) for(int j = 0; j <= n; ++j) for(int l = 0; l <= n; ++l) dp[i][j][l] = MOD;
for(int i = 1; i <= n; ++i) dp[0][0][i] = 0;
for(int l = 1; l <= k; ++l){ // collabnum
for(int i = 1; i <= k; ++i){
if(a[i][0] == MOD) break;
dp[i][0][l] = dp[i - 1][0][l] + a[i][1] / (double)(l + 1);
for(int j = 1; j <= min(i, l); ++j){
dp[i][j][l] = min(dp[i - 1][j][l] + a[i][1] / (double) (l+1), dp[i - 1][j - 1][l] + a[i][0] / (double) j);
}
}
for(int i = 1; i <= k; ++i)
ans = min(ans, dp[i][l][l] + sum[i + 1][k - i] / (double) (l + 1));
}
// for(int i = 1; i <= n; ++i){
// for(int j = 0; j <= i; ++j) cout << dp[i][j].first << ' ' << dp[i][j].second << " | ";
// en;
// }
cout << fixed << setprecision(15);
cout << ans;
}
int main(){
cin.tie(0); ios::sync_with_stdio(0);
int tt = 1, aa;
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
while(tt--){
solve();
en;
}
cerr<<"time taken : "<<(float)clock()/CLOCKS_PER_SEC<<" seconds\n";
return 0;
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:64:15: warning: unused variable 'aa' [-Wunused-variable]
64 | int tt = 1, aa;
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
8536 KB |
Output is correct |
5 |
Correct |
254 ms |
989524 KB |
Output is correct |
6 |
Correct |
253 ms |
989780 KB |
Output is correct |
7 |
Correct |
269 ms |
989524 KB |
Output is correct |
8 |
Correct |
272 ms |
989688 KB |
Output is correct |
9 |
Correct |
251 ms |
989516 KB |
Output is correct |
10 |
Correct |
253 ms |
989468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
8536 KB |
Output is correct |
5 |
Correct |
254 ms |
989524 KB |
Output is correct |
6 |
Correct |
253 ms |
989780 KB |
Output is correct |
7 |
Correct |
269 ms |
989524 KB |
Output is correct |
8 |
Correct |
272 ms |
989688 KB |
Output is correct |
9 |
Correct |
251 ms |
989516 KB |
Output is correct |
10 |
Correct |
253 ms |
989468 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
257 ms |
989488 KB |
Output is correct |
13 |
Correct |
273 ms |
989712 KB |
Output is correct |
14 |
Correct |
254 ms |
989524 KB |
Output is correct |
15 |
Correct |
333 ms |
989708 KB |
Output is correct |
16 |
Correct |
314 ms |
989520 KB |
Output is correct |
17 |
Correct |
254 ms |
989776 KB |
Output is correct |
18 |
Correct |
504 ms |
989520 KB |
Output is correct |
19 |
Correct |
353 ms |
989804 KB |
Output is correct |
20 |
Correct |
260 ms |
989712 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
14680 KB |
Output is correct |
2 |
Correct |
2 ms |
14680 KB |
Output is correct |
3 |
Correct |
2 ms |
14684 KB |
Output is correct |
4 |
Correct |
2 ms |
14684 KB |
Output is correct |
5 |
Correct |
2 ms |
14684 KB |
Output is correct |
6 |
Correct |
2 ms |
14684 KB |
Output is correct |
7 |
Correct |
2 ms |
14684 KB |
Output is correct |
8 |
Correct |
2 ms |
14684 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
2 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14684 KB |
Output is correct |
12 |
Correct |
2 ms |
14684 KB |
Output is correct |
13 |
Correct |
2 ms |
14684 KB |
Output is correct |
14 |
Correct |
1 ms |
10588 KB |
Output is correct |
15 |
Correct |
2 ms |
14876 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
14680 KB |
Output is correct |
2 |
Correct |
2 ms |
14680 KB |
Output is correct |
3 |
Correct |
2 ms |
14684 KB |
Output is correct |
4 |
Correct |
2 ms |
14684 KB |
Output is correct |
5 |
Correct |
2 ms |
14684 KB |
Output is correct |
6 |
Correct |
2 ms |
14684 KB |
Output is correct |
7 |
Correct |
2 ms |
14684 KB |
Output is correct |
8 |
Correct |
2 ms |
14684 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
2 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14684 KB |
Output is correct |
12 |
Correct |
2 ms |
14684 KB |
Output is correct |
13 |
Correct |
2 ms |
14684 KB |
Output is correct |
14 |
Correct |
1 ms |
10588 KB |
Output is correct |
15 |
Correct |
2 ms |
14876 KB |
Output is correct |
16 |
Correct |
5 ms |
41560 KB |
Output is correct |
17 |
Correct |
5 ms |
41564 KB |
Output is correct |
18 |
Correct |
4 ms |
41564 KB |
Output is correct |
19 |
Correct |
4 ms |
41564 KB |
Output is correct |
20 |
Correct |
5 ms |
41564 KB |
Output is correct |
21 |
Correct |
4 ms |
41564 KB |
Output is correct |
22 |
Correct |
4 ms |
41608 KB |
Output is correct |
23 |
Correct |
4 ms |
41564 KB |
Output is correct |
24 |
Correct |
5 ms |
41564 KB |
Output is correct |
25 |
Correct |
4 ms |
41564 KB |
Output is correct |
26 |
Correct |
5 ms |
41564 KB |
Output is correct |
27 |
Correct |
5 ms |
41564 KB |
Output is correct |
28 |
Correct |
5 ms |
41564 KB |
Output is correct |
29 |
Correct |
5 ms |
41564 KB |
Output is correct |
30 |
Correct |
5 ms |
41564 KB |
Output is correct |
31 |
Correct |
4 ms |
41568 KB |
Output is correct |
32 |
Correct |
5 ms |
41568 KB |
Output is correct |
33 |
Correct |
5 ms |
41568 KB |
Output is correct |
34 |
Correct |
5 ms |
41620 KB |
Output is correct |
35 |
Correct |
5 ms |
41428 KB |
Output is correct |
36 |
Correct |
5 ms |
41568 KB |
Output is correct |
37 |
Correct |
5 ms |
41564 KB |
Output is correct |
38 |
Correct |
5 ms |
41560 KB |
Output is correct |
39 |
Correct |
5 ms |
41816 KB |
Output is correct |
40 |
Correct |
4 ms |
41424 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
14680 KB |
Output is correct |
2 |
Correct |
2 ms |
14680 KB |
Output is correct |
3 |
Correct |
2 ms |
14684 KB |
Output is correct |
4 |
Correct |
2 ms |
14684 KB |
Output is correct |
5 |
Correct |
2 ms |
14684 KB |
Output is correct |
6 |
Correct |
2 ms |
14684 KB |
Output is correct |
7 |
Correct |
2 ms |
14684 KB |
Output is correct |
8 |
Correct |
2 ms |
14684 KB |
Output is correct |
9 |
Correct |
2 ms |
14684 KB |
Output is correct |
10 |
Correct |
2 ms |
14684 KB |
Output is correct |
11 |
Correct |
2 ms |
14684 KB |
Output is correct |
12 |
Correct |
2 ms |
14684 KB |
Output is correct |
13 |
Correct |
2 ms |
14684 KB |
Output is correct |
14 |
Correct |
1 ms |
10588 KB |
Output is correct |
15 |
Correct |
2 ms |
14876 KB |
Output is correct |
16 |
Correct |
5 ms |
41560 KB |
Output is correct |
17 |
Correct |
5 ms |
41564 KB |
Output is correct |
18 |
Correct |
4 ms |
41564 KB |
Output is correct |
19 |
Correct |
4 ms |
41564 KB |
Output is correct |
20 |
Correct |
5 ms |
41564 KB |
Output is correct |
21 |
Correct |
4 ms |
41564 KB |
Output is correct |
22 |
Correct |
4 ms |
41608 KB |
Output is correct |
23 |
Correct |
4 ms |
41564 KB |
Output is correct |
24 |
Correct |
5 ms |
41564 KB |
Output is correct |
25 |
Correct |
4 ms |
41564 KB |
Output is correct |
26 |
Correct |
5 ms |
41564 KB |
Output is correct |
27 |
Correct |
5 ms |
41564 KB |
Output is correct |
28 |
Correct |
5 ms |
41564 KB |
Output is correct |
29 |
Correct |
5 ms |
41564 KB |
Output is correct |
30 |
Correct |
5 ms |
41564 KB |
Output is correct |
31 |
Correct |
4 ms |
41568 KB |
Output is correct |
32 |
Correct |
5 ms |
41568 KB |
Output is correct |
33 |
Correct |
5 ms |
41568 KB |
Output is correct |
34 |
Correct |
5 ms |
41620 KB |
Output is correct |
35 |
Correct |
5 ms |
41428 KB |
Output is correct |
36 |
Correct |
5 ms |
41568 KB |
Output is correct |
37 |
Correct |
5 ms |
41564 KB |
Output is correct |
38 |
Correct |
5 ms |
41560 KB |
Output is correct |
39 |
Correct |
5 ms |
41816 KB |
Output is correct |
40 |
Correct |
4 ms |
41424 KB |
Output is correct |
41 |
Correct |
21 ms |
199768 KB |
Output is correct |
42 |
Correct |
21 ms |
199776 KB |
Output is correct |
43 |
Correct |
20 ms |
199776 KB |
Output is correct |
44 |
Correct |
21 ms |
199636 KB |
Output is correct |
45 |
Correct |
21 ms |
199660 KB |
Output is correct |
46 |
Correct |
21 ms |
199776 KB |
Output is correct |
47 |
Correct |
21 ms |
199776 KB |
Output is correct |
48 |
Correct |
23 ms |
199760 KB |
Output is correct |
49 |
Correct |
24 ms |
200032 KB |
Output is correct |
50 |
Correct |
21 ms |
199768 KB |
Output is correct |
51 |
Correct |
22 ms |
199772 KB |
Output is correct |
52 |
Correct |
21 ms |
199772 KB |
Output is correct |
53 |
Correct |
20 ms |
199852 KB |
Output is correct |
54 |
Correct |
21 ms |
199780 KB |
Output is correct |
55 |
Correct |
21 ms |
199888 KB |
Output is correct |
56 |
Correct |
21 ms |
199900 KB |
Output is correct |
57 |
Correct |
21 ms |
199776 KB |
Output is correct |
58 |
Correct |
22 ms |
199880 KB |
Output is correct |
59 |
Correct |
21 ms |
199776 KB |
Output is correct |
60 |
Correct |
22 ms |
199828 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
511 ms |
989652 KB |
Output is correct |
2 |
Correct |
498 ms |
989652 KB |
Output is correct |
3 |
Correct |
494 ms |
989780 KB |
Output is correct |
4 |
Correct |
518 ms |
989524 KB |
Output is correct |
5 |
Correct |
520 ms |
989712 KB |
Output is correct |
6 |
Correct |
492 ms |
989728 KB |
Output is correct |
7 |
Correct |
522 ms |
989576 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 KB |
Output is correct |
3 |
Correct |
1 ms |
6492 KB |
Output is correct |
4 |
Correct |
1 ms |
8536 KB |
Output is correct |
5 |
Correct |
254 ms |
989524 KB |
Output is correct |
6 |
Correct |
253 ms |
989780 KB |
Output is correct |
7 |
Correct |
269 ms |
989524 KB |
Output is correct |
8 |
Correct |
272 ms |
989688 KB |
Output is correct |
9 |
Correct |
251 ms |
989516 KB |
Output is correct |
10 |
Correct |
253 ms |
989468 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
257 ms |
989488 KB |
Output is correct |
13 |
Correct |
273 ms |
989712 KB |
Output is correct |
14 |
Correct |
254 ms |
989524 KB |
Output is correct |
15 |
Correct |
333 ms |
989708 KB |
Output is correct |
16 |
Correct |
314 ms |
989520 KB |
Output is correct |
17 |
Correct |
254 ms |
989776 KB |
Output is correct |
18 |
Correct |
504 ms |
989520 KB |
Output is correct |
19 |
Correct |
353 ms |
989804 KB |
Output is correct |
20 |
Correct |
260 ms |
989712 KB |
Output is correct |
21 |
Correct |
2 ms |
14680 KB |
Output is correct |
22 |
Correct |
2 ms |
14680 KB |
Output is correct |
23 |
Correct |
2 ms |
14684 KB |
Output is correct |
24 |
Correct |
2 ms |
14684 KB |
Output is correct |
25 |
Correct |
2 ms |
14684 KB |
Output is correct |
26 |
Correct |
2 ms |
14684 KB |
Output is correct |
27 |
Correct |
2 ms |
14684 KB |
Output is correct |
28 |
Correct |
2 ms |
14684 KB |
Output is correct |
29 |
Correct |
2 ms |
14684 KB |
Output is correct |
30 |
Correct |
2 ms |
14684 KB |
Output is correct |
31 |
Correct |
2 ms |
14684 KB |
Output is correct |
32 |
Correct |
2 ms |
14684 KB |
Output is correct |
33 |
Correct |
2 ms |
14684 KB |
Output is correct |
34 |
Correct |
1 ms |
10588 KB |
Output is correct |
35 |
Correct |
2 ms |
14876 KB |
Output is correct |
36 |
Correct |
5 ms |
41560 KB |
Output is correct |
37 |
Correct |
5 ms |
41564 KB |
Output is correct |
38 |
Correct |
4 ms |
41564 KB |
Output is correct |
39 |
Correct |
4 ms |
41564 KB |
Output is correct |
40 |
Correct |
5 ms |
41564 KB |
Output is correct |
41 |
Correct |
4 ms |
41564 KB |
Output is correct |
42 |
Correct |
4 ms |
41608 KB |
Output is correct |
43 |
Correct |
4 ms |
41564 KB |
Output is correct |
44 |
Correct |
5 ms |
41564 KB |
Output is correct |
45 |
Correct |
4 ms |
41564 KB |
Output is correct |
46 |
Correct |
5 ms |
41564 KB |
Output is correct |
47 |
Correct |
5 ms |
41564 KB |
Output is correct |
48 |
Correct |
5 ms |
41564 KB |
Output is correct |
49 |
Correct |
5 ms |
41564 KB |
Output is correct |
50 |
Correct |
5 ms |
41564 KB |
Output is correct |
51 |
Correct |
4 ms |
41568 KB |
Output is correct |
52 |
Correct |
5 ms |
41568 KB |
Output is correct |
53 |
Correct |
5 ms |
41568 KB |
Output is correct |
54 |
Correct |
5 ms |
41620 KB |
Output is correct |
55 |
Correct |
5 ms |
41428 KB |
Output is correct |
56 |
Correct |
5 ms |
41568 KB |
Output is correct |
57 |
Correct |
5 ms |
41564 KB |
Output is correct |
58 |
Correct |
5 ms |
41560 KB |
Output is correct |
59 |
Correct |
5 ms |
41816 KB |
Output is correct |
60 |
Correct |
4 ms |
41424 KB |
Output is correct |
61 |
Correct |
21 ms |
199768 KB |
Output is correct |
62 |
Correct |
21 ms |
199776 KB |
Output is correct |
63 |
Correct |
20 ms |
199776 KB |
Output is correct |
64 |
Correct |
21 ms |
199636 KB |
Output is correct |
65 |
Correct |
21 ms |
199660 KB |
Output is correct |
66 |
Correct |
21 ms |
199776 KB |
Output is correct |
67 |
Correct |
21 ms |
199776 KB |
Output is correct |
68 |
Correct |
23 ms |
199760 KB |
Output is correct |
69 |
Correct |
24 ms |
200032 KB |
Output is correct |
70 |
Correct |
21 ms |
199768 KB |
Output is correct |
71 |
Correct |
22 ms |
199772 KB |
Output is correct |
72 |
Correct |
21 ms |
199772 KB |
Output is correct |
73 |
Correct |
20 ms |
199852 KB |
Output is correct |
74 |
Correct |
21 ms |
199780 KB |
Output is correct |
75 |
Correct |
21 ms |
199888 KB |
Output is correct |
76 |
Correct |
21 ms |
199900 KB |
Output is correct |
77 |
Correct |
21 ms |
199776 KB |
Output is correct |
78 |
Correct |
22 ms |
199880 KB |
Output is correct |
79 |
Correct |
21 ms |
199776 KB |
Output is correct |
80 |
Correct |
22 ms |
199828 KB |
Output is correct |
81 |
Correct |
511 ms |
989652 KB |
Output is correct |
82 |
Correct |
498 ms |
989652 KB |
Output is correct |
83 |
Correct |
494 ms |
989780 KB |
Output is correct |
84 |
Correct |
518 ms |
989524 KB |
Output is correct |
85 |
Correct |
520 ms |
989712 KB |
Output is correct |
86 |
Correct |
492 ms |
989728 KB |
Output is correct |
87 |
Correct |
522 ms |
989576 KB |
Output is correct |
88 |
Correct |
269 ms |
989896 KB |
Output is correct |
89 |
Correct |
263 ms |
989524 KB |
Output is correct |
90 |
Correct |
248 ms |
989628 KB |
Output is correct |
91 |
Correct |
251 ms |
989652 KB |
Output is correct |
92 |
Correct |
269 ms |
989484 KB |
Output is correct |
93 |
Correct |
283 ms |
989776 KB |
Output is correct |
94 |
Correct |
350 ms |
989716 KB |
Output is correct |
95 |
Correct |
345 ms |
989732 KB |
Output is correct |
96 |
Correct |
438 ms |
989520 KB |
Output is correct |
97 |
Correct |
435 ms |
989480 KB |
Output is correct |
98 |
Correct |
316 ms |
989524 KB |
Output is correct |
99 |
Correct |
319 ms |
989748 KB |
Output is correct |
100 |
Correct |
318 ms |
989524 KB |
Output is correct |
101 |
Correct |
346 ms |
989844 KB |
Output is correct |
102 |
Correct |
315 ms |
989524 KB |
Output is correct |
103 |
Correct |
314 ms |
989716 KB |
Output is correct |
104 |
Correct |
334 ms |
989520 KB |
Output is correct |
105 |
Correct |
317 ms |
989524 KB |
Output is correct |