#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define MAXN (300005)
int main() {
ios_base::sync_with_stdio(false);cin.tie(0);
ll N,K;
cin>>N>>K;
deque<pair<ll,ll> > arr;
for(ll i = 1;i <= N;i++){
ll a,b;
cin>>a>>b;
if(b == -1) b = 1e18;
arr.push_back(make_pair(b,a));
}
sort(arr.begin(),arr.end());
arr.push_front(make_pair(0,0));
ld A[N + 1], B[N + 1]; //1-indexed
A[0] = 0;
B[0] = 0;
for(ll i = 1;i <= N;i++){
A[i] = arr[i].second;
B[i] = arr[i].first;
}
ld dp[N + 5][N + 5]; //first i states considered, j of them belong in B[i] = -1
ld ans = 1e18;
for(ll m = 0;m <= K;m++){ //m collaborators gained in total
for(ll i = 0;i <= N;i++){
for(ll j = 0;j <= N;j++){
dp[i][j] = 1e18;
}
}
dp[0][0] = 0;
for(ll i = 1;i <= N;i++){ //first i states considered
for(ll j = 0;j <= i;j++){ //j states are non-collaborators
ld valA = A[i] / (m + 1);
ld valB = B[i] / min(i - j,m);
dp[i][j] = min(dp[i][j],dp[i - 1][j] + valB);
if(i - j > m) dp[i][j] = min(dp[i][j],dp[i - 1][j]);
if(j >= 1) dp[i][j] = min(dp[i][j],dp[i - 1][j - 1] + valA);
}
}
ans = min(ans,dp[N][K - m]);
}
cout<<fixed<<setprecision(10);
cout<<ans<<'\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
312 KB |
Output is correct |
3 |
Correct |
0 ms |
324 KB |
Output is correct |
4 |
Correct |
1 ms |
316 KB |
Output is correct |
5 |
Correct |
178 ms |
4316 KB |
Output is correct |
6 |
Correct |
431 ms |
4428 KB |
Output is correct |
7 |
Correct |
828 ms |
4312 KB |
Output is correct |
8 |
Correct |
1231 ms |
4312 KB |
Output is correct |
9 |
Correct |
1586 ms |
4320 KB |
Output is correct |
10 |
Correct |
1263 ms |
4328 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
312 KB |
Output is correct |
3 |
Correct |
0 ms |
324 KB |
Output is correct |
4 |
Correct |
1 ms |
316 KB |
Output is correct |
5 |
Correct |
178 ms |
4316 KB |
Output is correct |
6 |
Correct |
431 ms |
4428 KB |
Output is correct |
7 |
Correct |
828 ms |
4312 KB |
Output is correct |
8 |
Correct |
1231 ms |
4312 KB |
Output is correct |
9 |
Correct |
1586 ms |
4320 KB |
Output is correct |
10 |
Correct |
1263 ms |
4328 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
536 ms |
4316 KB |
Output is correct |
13 |
Correct |
518 ms |
4316 KB |
Output is correct |
14 |
Correct |
535 ms |
4316 KB |
Output is correct |
15 |
Correct |
1126 ms |
4320 KB |
Output is correct |
16 |
Correct |
1183 ms |
4316 KB |
Output is correct |
17 |
Correct |
1135 ms |
4316 KB |
Output is correct |
18 |
Correct |
1633 ms |
4312 KB |
Output is correct |
19 |
Correct |
1681 ms |
4316 KB |
Output is correct |
20 |
Correct |
1574 ms |
4316 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
324 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
0 ms |
320 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
324 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
0 ms |
320 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
320 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
324 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
0 ms |
320 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
320 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
3 ms |
468 KB |
Output is correct |
42 |
Correct |
3 ms |
468 KB |
Output is correct |
43 |
Correct |
6 ms |
496 KB |
Output is correct |
44 |
Correct |
5 ms |
468 KB |
Output is correct |
45 |
Correct |
9 ms |
492 KB |
Output is correct |
46 |
Correct |
8 ms |
468 KB |
Output is correct |
47 |
Correct |
10 ms |
496 KB |
Output is correct |
48 |
Correct |
9 ms |
496 KB |
Output is correct |
49 |
Correct |
11 ms |
468 KB |
Output is correct |
50 |
Correct |
11 ms |
444 KB |
Output is correct |
51 |
Correct |
14 ms |
468 KB |
Output is correct |
52 |
Correct |
14 ms |
496 KB |
Output is correct |
53 |
Correct |
9 ms |
492 KB |
Output is correct |
54 |
Correct |
10 ms |
492 KB |
Output is correct |
55 |
Correct |
10 ms |
468 KB |
Output is correct |
56 |
Correct |
11 ms |
568 KB |
Output is correct |
57 |
Correct |
9 ms |
504 KB |
Output is correct |
58 |
Correct |
9 ms |
468 KB |
Output is correct |
59 |
Correct |
9 ms |
496 KB |
Output is correct |
60 |
Correct |
10 ms |
496 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1558 ms |
4316 KB |
Output is correct |
2 |
Correct |
1607 ms |
4312 KB |
Output is correct |
3 |
Correct |
1586 ms |
4316 KB |
Output is correct |
4 |
Correct |
1634 ms |
4316 KB |
Output is correct |
5 |
Correct |
1599 ms |
4328 KB |
Output is correct |
6 |
Correct |
1577 ms |
4316 KB |
Output is correct |
7 |
Correct |
1574 ms |
4332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
312 KB |
Output is correct |
3 |
Correct |
0 ms |
324 KB |
Output is correct |
4 |
Correct |
1 ms |
316 KB |
Output is correct |
5 |
Correct |
178 ms |
4316 KB |
Output is correct |
6 |
Correct |
431 ms |
4428 KB |
Output is correct |
7 |
Correct |
828 ms |
4312 KB |
Output is correct |
8 |
Correct |
1231 ms |
4312 KB |
Output is correct |
9 |
Correct |
1586 ms |
4320 KB |
Output is correct |
10 |
Correct |
1263 ms |
4328 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
536 ms |
4316 KB |
Output is correct |
13 |
Correct |
518 ms |
4316 KB |
Output is correct |
14 |
Correct |
535 ms |
4316 KB |
Output is correct |
15 |
Correct |
1126 ms |
4320 KB |
Output is correct |
16 |
Correct |
1183 ms |
4316 KB |
Output is correct |
17 |
Correct |
1135 ms |
4316 KB |
Output is correct |
18 |
Correct |
1633 ms |
4312 KB |
Output is correct |
19 |
Correct |
1681 ms |
4316 KB |
Output is correct |
20 |
Correct |
1574 ms |
4316 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
324 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
320 KB |
Output is correct |
34 |
Correct |
0 ms |
320 KB |
Output is correct |
35 |
Correct |
1 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
320 KB |
Output is correct |
43 |
Correct |
1 ms |
212 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
212 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
212 KB |
Output is correct |
48 |
Correct |
0 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
212 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
212 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
212 KB |
Output is correct |
58 |
Correct |
1 ms |
212 KB |
Output is correct |
59 |
Correct |
1 ms |
212 KB |
Output is correct |
60 |
Correct |
1 ms |
212 KB |
Output is correct |
61 |
Correct |
3 ms |
468 KB |
Output is correct |
62 |
Correct |
3 ms |
468 KB |
Output is correct |
63 |
Correct |
6 ms |
496 KB |
Output is correct |
64 |
Correct |
5 ms |
468 KB |
Output is correct |
65 |
Correct |
9 ms |
492 KB |
Output is correct |
66 |
Correct |
8 ms |
468 KB |
Output is correct |
67 |
Correct |
10 ms |
496 KB |
Output is correct |
68 |
Correct |
9 ms |
496 KB |
Output is correct |
69 |
Correct |
11 ms |
468 KB |
Output is correct |
70 |
Correct |
11 ms |
444 KB |
Output is correct |
71 |
Correct |
14 ms |
468 KB |
Output is correct |
72 |
Correct |
14 ms |
496 KB |
Output is correct |
73 |
Correct |
9 ms |
492 KB |
Output is correct |
74 |
Correct |
10 ms |
492 KB |
Output is correct |
75 |
Correct |
10 ms |
468 KB |
Output is correct |
76 |
Correct |
11 ms |
568 KB |
Output is correct |
77 |
Correct |
9 ms |
504 KB |
Output is correct |
78 |
Correct |
9 ms |
468 KB |
Output is correct |
79 |
Correct |
9 ms |
496 KB |
Output is correct |
80 |
Correct |
10 ms |
496 KB |
Output is correct |
81 |
Correct |
1558 ms |
4316 KB |
Output is correct |
82 |
Correct |
1607 ms |
4312 KB |
Output is correct |
83 |
Correct |
1586 ms |
4316 KB |
Output is correct |
84 |
Correct |
1634 ms |
4316 KB |
Output is correct |
85 |
Correct |
1599 ms |
4328 KB |
Output is correct |
86 |
Correct |
1577 ms |
4316 KB |
Output is correct |
87 |
Correct |
1574 ms |
4332 KB |
Output is correct |
88 |
Correct |
171 ms |
4312 KB |
Output is correct |
89 |
Correct |
178 ms |
4316 KB |
Output is correct |
90 |
Correct |
434 ms |
4308 KB |
Output is correct |
91 |
Correct |
427 ms |
4428 KB |
Output is correct |
92 |
Correct |
804 ms |
4320 KB |
Output is correct |
93 |
Correct |
806 ms |
4316 KB |
Output is correct |
94 |
Correct |
1186 ms |
4316 KB |
Output is correct |
95 |
Correct |
1202 ms |
4316 KB |
Output is correct |
96 |
Correct |
1397 ms |
4320 KB |
Output is correct |
97 |
Correct |
1410 ms |
4308 KB |
Output is correct |
98 |
Correct |
1114 ms |
4320 KB |
Output is correct |
99 |
Correct |
1135 ms |
4428 KB |
Output is correct |
100 |
Correct |
1109 ms |
4316 KB |
Output is correct |
101 |
Correct |
1108 ms |
4428 KB |
Output is correct |
102 |
Correct |
1124 ms |
4308 KB |
Output is correct |
103 |
Correct |
1124 ms |
4428 KB |
Output is correct |
104 |
Correct |
1109 ms |
4428 KB |
Output is correct |
105 |
Correct |
1117 ms |
4316 KB |
Output is correct |