#include <bits/stdc++.h>
using namespace std;
#define INFTY 1000000069
bool comp(pair<int,int> a, pair<int,int> b) {
if(a.first == -1) return false;
if(b.first == -1) return true;
return a < b;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0);
int N, K; cin >> N >> K; int A[N], B[N]; pair<int, int> data[N];
for(int i = 0; i < N; i++) {cin >> data[i].second >> data[i].first;}
sort(data, data + N, comp);
for(int i = 0; i < N; i++) {
A[i] = data[i].second;
B[i] = data[i].first;
}
float mn = INFTY;
float dp[N + 1][K + 1][2];
for(int i = 0; i <= N; i++) for(int j = 0; j <= K; j++) for(int k = 0; k < 2; k++) dp[i][j][k] = INFTY;
for(int g = 0; g <= K; g++) {
dp[0][0][0] = 0; if(g == 0) dp[0][0][1] = 0;
for(int i = 1; i <= N; i++) for(int j = 0; j <= K; j++) {
if(i - j >= 0 && i - j <= g) {
if(i - j == g) dp[i][j][0] = min(dp[i][j][0], dp[i - 1][j][1]);
if(j > 0) {
dp[i][j][0] = min(dp[i][j][0], dp[i - 1][j - 1][0] + A[i - 1] / (float)(g + 1));
}
if(i - j > 0 && B[i - 1] != -1) {
dp[i][j][0] = min(dp[i][j][0], dp[i - 1][j][0] + B[i - 1] / (float)(i - j));
}
}
if(g + j <= i) {
dp[i][j][1] = min(dp[i][j][1], dp[i - 1][j][1]);
if(j > 0) {
dp[i][j][1] = min(dp[i][j][1], dp[i - 1][j - 1][1] + A[i - 1] / (float)(g + 1));
}
if(B[i - 1] != -1 && g + j == i) {
dp[i][j][1] = min(dp[i][j][1], dp[i - 1][j][0] + B[i - 1] / (float)g);
}
}
}
mn = min(mn, dp[N][K - g][1]);
for(int i = 0; i <= N; i++) for(int j = 0; j <= K; j++) {
dp[i][j][0] = INFTY;
dp[i][j][1] = INFTY;
}
}
cout << mn;
}
# |
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 |
256 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
6 ms |
468 KB |
Output is correct |
6 |
Correct |
28 ms |
724 KB |
Output is correct |
7 |
Correct |
85 ms |
1236 KB |
Output is correct |
8 |
Correct |
233 ms |
1784 KB |
Output is correct |
9 |
Correct |
432 ms |
2272 KB |
Output is correct |
10 |
Correct |
209 ms |
1684 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 |
256 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
6 ms |
468 KB |
Output is correct |
6 |
Correct |
28 ms |
724 KB |
Output is correct |
7 |
Correct |
85 ms |
1236 KB |
Output is correct |
8 |
Correct |
233 ms |
1784 KB |
Output is correct |
9 |
Correct |
432 ms |
2272 KB |
Output is correct |
10 |
Correct |
209 ms |
1684 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
36 ms |
852 KB |
Output is correct |
13 |
Correct |
37 ms |
896 KB |
Output is correct |
14 |
Correct |
43 ms |
900 KB |
Output is correct |
15 |
Correct |
219 ms |
1684 KB |
Output is correct |
16 |
Correct |
251 ms |
1620 KB |
Output is correct |
17 |
Correct |
222 ms |
1620 KB |
Output is correct |
18 |
Correct |
390 ms |
2272 KB |
Output is correct |
19 |
Correct |
488 ms |
2272 KB |
Output is correct |
20 |
Correct |
404 ms |
2272 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 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 |
316 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 |
320 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 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 |
0 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 |
316 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 |
320 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 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 |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
260 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
320 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 |
280 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
368 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 |
316 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 |
316 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
0 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 |
316 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 |
320 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 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 |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
260 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
320 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 |
280 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
368 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 |
316 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 |
316 KB |
Output is correct |
41 |
Correct |
1 ms |
324 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
2 ms |
340 KB |
Output is correct |
44 |
Correct |
2 ms |
340 KB |
Output is correct |
45 |
Correct |
2 ms |
320 KB |
Output is correct |
46 |
Correct |
3 ms |
340 KB |
Output is correct |
47 |
Correct |
3 ms |
340 KB |
Output is correct |
48 |
Correct |
3 ms |
340 KB |
Output is correct |
49 |
Correct |
3 ms |
340 KB |
Output is correct |
50 |
Correct |
3 ms |
340 KB |
Output is correct |
51 |
Correct |
6 ms |
340 KB |
Output is correct |
52 |
Correct |
5 ms |
320 KB |
Output is correct |
53 |
Correct |
2 ms |
340 KB |
Output is correct |
54 |
Correct |
3 ms |
340 KB |
Output is correct |
55 |
Correct |
3 ms |
340 KB |
Output is correct |
56 |
Correct |
3 ms |
324 KB |
Output is correct |
57 |
Correct |
3 ms |
340 KB |
Output is correct |
58 |
Correct |
2 ms |
340 KB |
Output is correct |
59 |
Correct |
3 ms |
340 KB |
Output is correct |
60 |
Correct |
3 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
458 ms |
2268 KB |
Output is correct |
2 |
Correct |
381 ms |
2272 KB |
Output is correct |
3 |
Correct |
407 ms |
2272 KB |
Output is correct |
4 |
Correct |
444 ms |
2272 KB |
Output is correct |
5 |
Correct |
418 ms |
2268 KB |
Output is correct |
6 |
Correct |
414 ms |
2260 KB |
Output is correct |
7 |
Correct |
412 ms |
2276 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 |
256 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
6 ms |
468 KB |
Output is correct |
6 |
Correct |
28 ms |
724 KB |
Output is correct |
7 |
Correct |
85 ms |
1236 KB |
Output is correct |
8 |
Correct |
233 ms |
1784 KB |
Output is correct |
9 |
Correct |
432 ms |
2272 KB |
Output is correct |
10 |
Correct |
209 ms |
1684 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
36 ms |
852 KB |
Output is correct |
13 |
Correct |
37 ms |
896 KB |
Output is correct |
14 |
Correct |
43 ms |
900 KB |
Output is correct |
15 |
Correct |
219 ms |
1684 KB |
Output is correct |
16 |
Correct |
251 ms |
1620 KB |
Output is correct |
17 |
Correct |
222 ms |
1620 KB |
Output is correct |
18 |
Correct |
390 ms |
2272 KB |
Output is correct |
19 |
Correct |
488 ms |
2272 KB |
Output is correct |
20 |
Correct |
404 ms |
2272 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
0 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 |
316 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 |
320 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 |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
1 ms |
212 KB |
Output is correct |
43 |
Correct |
1 ms |
320 KB |
Output is correct |
44 |
Correct |
1 ms |
212 KB |
Output is correct |
45 |
Correct |
1 ms |
260 KB |
Output is correct |
46 |
Correct |
1 ms |
212 KB |
Output is correct |
47 |
Correct |
1 ms |
320 KB |
Output is correct |
48 |
Correct |
1 ms |
212 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
1 ms |
280 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
1 ms |
368 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 |
316 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 |
316 KB |
Output is correct |
61 |
Correct |
1 ms |
324 KB |
Output is correct |
62 |
Correct |
1 ms |
212 KB |
Output is correct |
63 |
Correct |
2 ms |
340 KB |
Output is correct |
64 |
Correct |
2 ms |
340 KB |
Output is correct |
65 |
Correct |
2 ms |
320 KB |
Output is correct |
66 |
Correct |
3 ms |
340 KB |
Output is correct |
67 |
Correct |
3 ms |
340 KB |
Output is correct |
68 |
Correct |
3 ms |
340 KB |
Output is correct |
69 |
Correct |
3 ms |
340 KB |
Output is correct |
70 |
Correct |
3 ms |
340 KB |
Output is correct |
71 |
Correct |
6 ms |
340 KB |
Output is correct |
72 |
Correct |
5 ms |
320 KB |
Output is correct |
73 |
Correct |
2 ms |
340 KB |
Output is correct |
74 |
Correct |
3 ms |
340 KB |
Output is correct |
75 |
Correct |
3 ms |
340 KB |
Output is correct |
76 |
Correct |
3 ms |
324 KB |
Output is correct |
77 |
Correct |
3 ms |
340 KB |
Output is correct |
78 |
Correct |
2 ms |
340 KB |
Output is correct |
79 |
Correct |
3 ms |
340 KB |
Output is correct |
80 |
Correct |
3 ms |
340 KB |
Output is correct |
81 |
Correct |
458 ms |
2268 KB |
Output is correct |
82 |
Correct |
381 ms |
2272 KB |
Output is correct |
83 |
Correct |
407 ms |
2272 KB |
Output is correct |
84 |
Correct |
444 ms |
2272 KB |
Output is correct |
85 |
Correct |
418 ms |
2268 KB |
Output is correct |
86 |
Correct |
414 ms |
2260 KB |
Output is correct |
87 |
Correct |
412 ms |
2276 KB |
Output is correct |
88 |
Correct |
7 ms |
468 KB |
Output is correct |
89 |
Correct |
7 ms |
448 KB |
Output is correct |
90 |
Correct |
38 ms |
804 KB |
Output is correct |
91 |
Correct |
35 ms |
808 KB |
Output is correct |
92 |
Correct |
105 ms |
1292 KB |
Output is correct |
93 |
Correct |
135 ms |
1288 KB |
Output is correct |
94 |
Correct |
250 ms |
1780 KB |
Output is correct |
95 |
Correct |
263 ms |
1788 KB |
Output is correct |
96 |
Correct |
361 ms |
2072 KB |
Output is correct |
97 |
Correct |
385 ms |
2076 KB |
Output is correct |
98 |
Correct |
236 ms |
1684 KB |
Output is correct |
99 |
Correct |
257 ms |
1684 KB |
Output is correct |
100 |
Correct |
250 ms |
1684 KB |
Output is correct |
101 |
Correct |
253 ms |
1600 KB |
Output is correct |
102 |
Correct |
278 ms |
1684 KB |
Output is correct |
103 |
Correct |
215 ms |
1744 KB |
Output is correct |
104 |
Correct |
225 ms |
1676 KB |
Output is correct |
105 |
Correct |
221 ms |
1688 KB |
Output is correct |