/**
____ ____ ____ ____ ____ ____
||l |||e |||i |||n |||a |||d ||
||__|||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|/__\|
**/
#include<bits/stdc++.h>
#define endl '\n'
using namespace std;
typedef long long ll;
void speed()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
}
const int maxn = 510, smalln = 110;
struct city
{
int a, b, idx;
}c[maxn], ct[maxn];
int n, k, used[maxn];
bool cmpa(city c1, city c2)
{
return c1.a < c2.a;
}
bool cmpb(city c1, city c2)
{
if (c1.b != -1 && c2.b != -1)
return c1.b < c2.b;
if (c1.b != -1)
return true;
if (c2.b != -1)
return false;
return c1.idx < c2.idx;
}
double dp[maxn][maxn], fp[maxn][maxn];
/// dp[i][j][f] - smallest time up to the i-th city using j votes and f collaborators
void solve()
{
cin >> n >> k;
int col = 0;
for (int i = 1; i <= n; i ++)
{
cin >> c[i].a >> c[i].b;
if (c[i].b != -1)
col ++;
c[i].idx = i;
ct[i] = c[i];
}
sort(c + 1, c + n + 1, cmpb);
double ans = 1e18;
for (int goal = 0; goal <= min(k, col); goal ++)
{
for (int i = 0; i <= n; i ++)
for (int f = 0; f <= goal; f ++)
fp[i][f] = 1e18;
fp[0][0] = 0.0;
for (int i = 1; i <= n; i ++)
for (int f = 0; f <= goal; f ++)
{
fp[i][f] = min(fp[i][f], fp[i - 1][f] + c[i].a / (double)(goal + 1.0));
if (f >= 1 && c[i].b != -1)
{
fp[i][f] = min(fp[i][f], fp[i - 1][f - 1] + c[i].b / (double)(f));
}
}
for (int i = 0; i <= n + 1; i ++)
for (int j = 0; j <= k; j ++)
dp[i][j] = 1e18;
dp[n + 1][0] = 0.0;
for (int i = n; i > 0; i --)
for (int j = 0; j <= k; j ++)
{
dp[i][j] = dp[i + 1][j];
if (j > 0)
dp[i][j] = min(dp[i][j], dp[i + 1][j - 1] + c[i].a / (double)(goal + 1.0));
}
for (int i = 0; i <= k; i ++)
{
double sum = fp[i][goal] + dp[i + 1][k - i];
if (sum < ans)
ans = sum;
}
///ans = min(ans, fp[n][goal]);
}
printf("%0.6f\n", ans);
}
int main()
{
solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
4308 KB |
Output is correct |
6 |
Correct |
2 ms |
4308 KB |
Output is correct |
7 |
Correct |
2 ms |
4308 KB |
Output is correct |
8 |
Correct |
2 ms |
4276 KB |
Output is correct |
9 |
Correct |
2 ms |
4308 KB |
Output is correct |
10 |
Correct |
2 ms |
4308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
4308 KB |
Output is correct |
6 |
Correct |
2 ms |
4308 KB |
Output is correct |
7 |
Correct |
2 ms |
4308 KB |
Output is correct |
8 |
Correct |
2 ms |
4276 KB |
Output is correct |
9 |
Correct |
2 ms |
4308 KB |
Output is correct |
10 |
Correct |
2 ms |
4308 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
48 ms |
4308 KB |
Output is correct |
13 |
Correct |
43 ms |
4308 KB |
Output is correct |
14 |
Correct |
27 ms |
4308 KB |
Output is correct |
15 |
Correct |
233 ms |
4436 KB |
Output is correct |
16 |
Correct |
244 ms |
4300 KB |
Output is correct |
17 |
Correct |
47 ms |
4316 KB |
Output is correct |
18 |
Correct |
460 ms |
4308 KB |
Output is correct |
19 |
Correct |
236 ms |
4308 KB |
Output is correct |
20 |
Correct |
61 ms |
4308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
468 KB |
Output is correct |
17 |
Correct |
0 ms |
468 KB |
Output is correct |
18 |
Correct |
0 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
0 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
1 ms |
468 KB |
Output is correct |
35 |
Correct |
0 ms |
468 KB |
Output is correct |
36 |
Correct |
0 ms |
468 KB |
Output is correct |
37 |
Correct |
1 ms |
468 KB |
Output is correct |
38 |
Correct |
1 ms |
468 KB |
Output is correct |
39 |
Correct |
0 ms |
468 KB |
Output is correct |
40 |
Correct |
0 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
0 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
468 KB |
Output is correct |
17 |
Correct |
0 ms |
468 KB |
Output is correct |
18 |
Correct |
0 ms |
468 KB |
Output is correct |
19 |
Correct |
1 ms |
468 KB |
Output is correct |
20 |
Correct |
1 ms |
468 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
468 KB |
Output is correct |
23 |
Correct |
0 ms |
468 KB |
Output is correct |
24 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Correct |
1 ms |
468 KB |
Output is correct |
26 |
Correct |
1 ms |
468 KB |
Output is correct |
27 |
Correct |
1 ms |
468 KB |
Output is correct |
28 |
Correct |
1 ms |
468 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
1 ms |
468 KB |
Output is correct |
35 |
Correct |
0 ms |
468 KB |
Output is correct |
36 |
Correct |
0 ms |
468 KB |
Output is correct |
37 |
Correct |
1 ms |
468 KB |
Output is correct |
38 |
Correct |
1 ms |
468 KB |
Output is correct |
39 |
Correct |
0 ms |
468 KB |
Output is correct |
40 |
Correct |
0 ms |
468 KB |
Output is correct |
41 |
Correct |
1 ms |
1108 KB |
Output is correct |
42 |
Correct |
1 ms |
1108 KB |
Output is correct |
43 |
Correct |
1 ms |
1108 KB |
Output is correct |
44 |
Correct |
1 ms |
1108 KB |
Output is correct |
45 |
Correct |
2 ms |
1108 KB |
Output is correct |
46 |
Correct |
2 ms |
1108 KB |
Output is correct |
47 |
Correct |
2 ms |
1108 KB |
Output is correct |
48 |
Correct |
3 ms |
1108 KB |
Output is correct |
49 |
Correct |
3 ms |
1108 KB |
Output is correct |
50 |
Correct |
3 ms |
1108 KB |
Output is correct |
51 |
Correct |
6 ms |
1108 KB |
Output is correct |
52 |
Correct |
5 ms |
1108 KB |
Output is correct |
53 |
Correct |
2 ms |
1108 KB |
Output is correct |
54 |
Correct |
3 ms |
1108 KB |
Output is correct |
55 |
Correct |
3 ms |
1108 KB |
Output is correct |
56 |
Correct |
3 ms |
1108 KB |
Output is correct |
57 |
Correct |
3 ms |
1108 KB |
Output is correct |
58 |
Correct |
2 ms |
1108 KB |
Output is correct |
59 |
Correct |
4 ms |
1108 KB |
Output is correct |
60 |
Correct |
3 ms |
1116 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
464 ms |
4308 KB |
Output is correct |
2 |
Correct |
469 ms |
4308 KB |
Output is correct |
3 |
Correct |
456 ms |
4308 KB |
Output is correct |
4 |
Correct |
470 ms |
4308 KB |
Output is correct |
5 |
Correct |
479 ms |
4308 KB |
Output is correct |
6 |
Correct |
518 ms |
4308 KB |
Output is correct |
7 |
Correct |
460 ms |
4308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
4308 KB |
Output is correct |
6 |
Correct |
2 ms |
4308 KB |
Output is correct |
7 |
Correct |
2 ms |
4308 KB |
Output is correct |
8 |
Correct |
2 ms |
4276 KB |
Output is correct |
9 |
Correct |
2 ms |
4308 KB |
Output is correct |
10 |
Correct |
2 ms |
4308 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
48 ms |
4308 KB |
Output is correct |
13 |
Correct |
43 ms |
4308 KB |
Output is correct |
14 |
Correct |
27 ms |
4308 KB |
Output is correct |
15 |
Correct |
233 ms |
4436 KB |
Output is correct |
16 |
Correct |
244 ms |
4300 KB |
Output is correct |
17 |
Correct |
47 ms |
4316 KB |
Output is correct |
18 |
Correct |
460 ms |
4308 KB |
Output is correct |
19 |
Correct |
236 ms |
4308 KB |
Output is correct |
20 |
Correct |
61 ms |
4308 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
0 ms |
340 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 |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
340 KB |
Output is correct |
29 |
Correct |
0 ms |
340 KB |
Output is correct |
30 |
Correct |
0 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
0 ms |
340 KB |
Output is correct |
33 |
Correct |
0 ms |
340 KB |
Output is correct |
34 |
Correct |
0 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
0 ms |
468 KB |
Output is correct |
37 |
Correct |
0 ms |
468 KB |
Output is correct |
38 |
Correct |
0 ms |
468 KB |
Output is correct |
39 |
Correct |
1 ms |
468 KB |
Output is correct |
40 |
Correct |
1 ms |
468 KB |
Output is correct |
41 |
Correct |
1 ms |
468 KB |
Output is correct |
42 |
Correct |
1 ms |
468 KB |
Output is correct |
43 |
Correct |
0 ms |
468 KB |
Output is correct |
44 |
Correct |
1 ms |
468 KB |
Output is correct |
45 |
Correct |
1 ms |
468 KB |
Output is correct |
46 |
Correct |
1 ms |
468 KB |
Output is correct |
47 |
Correct |
1 ms |
468 KB |
Output is correct |
48 |
Correct |
1 ms |
468 KB |
Output is correct |
49 |
Correct |
1 ms |
468 KB |
Output is correct |
50 |
Correct |
1 ms |
468 KB |
Output is correct |
51 |
Correct |
1 ms |
468 KB |
Output is correct |
52 |
Correct |
1 ms |
468 KB |
Output is correct |
53 |
Correct |
1 ms |
468 KB |
Output is correct |
54 |
Correct |
1 ms |
468 KB |
Output is correct |
55 |
Correct |
0 ms |
468 KB |
Output is correct |
56 |
Correct |
0 ms |
468 KB |
Output is correct |
57 |
Correct |
1 ms |
468 KB |
Output is correct |
58 |
Correct |
1 ms |
468 KB |
Output is correct |
59 |
Correct |
0 ms |
468 KB |
Output is correct |
60 |
Correct |
0 ms |
468 KB |
Output is correct |
61 |
Correct |
1 ms |
1108 KB |
Output is correct |
62 |
Correct |
1 ms |
1108 KB |
Output is correct |
63 |
Correct |
1 ms |
1108 KB |
Output is correct |
64 |
Correct |
1 ms |
1108 KB |
Output is correct |
65 |
Correct |
2 ms |
1108 KB |
Output is correct |
66 |
Correct |
2 ms |
1108 KB |
Output is correct |
67 |
Correct |
2 ms |
1108 KB |
Output is correct |
68 |
Correct |
3 ms |
1108 KB |
Output is correct |
69 |
Correct |
3 ms |
1108 KB |
Output is correct |
70 |
Correct |
3 ms |
1108 KB |
Output is correct |
71 |
Correct |
6 ms |
1108 KB |
Output is correct |
72 |
Correct |
5 ms |
1108 KB |
Output is correct |
73 |
Correct |
2 ms |
1108 KB |
Output is correct |
74 |
Correct |
3 ms |
1108 KB |
Output is correct |
75 |
Correct |
3 ms |
1108 KB |
Output is correct |
76 |
Correct |
3 ms |
1108 KB |
Output is correct |
77 |
Correct |
3 ms |
1108 KB |
Output is correct |
78 |
Correct |
2 ms |
1108 KB |
Output is correct |
79 |
Correct |
4 ms |
1108 KB |
Output is correct |
80 |
Correct |
3 ms |
1116 KB |
Output is correct |
81 |
Correct |
464 ms |
4308 KB |
Output is correct |
82 |
Correct |
469 ms |
4308 KB |
Output is correct |
83 |
Correct |
456 ms |
4308 KB |
Output is correct |
84 |
Correct |
470 ms |
4308 KB |
Output is correct |
85 |
Correct |
479 ms |
4308 KB |
Output is correct |
86 |
Correct |
518 ms |
4308 KB |
Output is correct |
87 |
Correct |
460 ms |
4308 KB |
Output is correct |
88 |
Correct |
7 ms |
4308 KB |
Output is correct |
89 |
Correct |
8 ms |
4308 KB |
Output is correct |
90 |
Correct |
33 ms |
4308 KB |
Output is correct |
91 |
Correct |
33 ms |
4308 KB |
Output is correct |
92 |
Correct |
125 ms |
4308 KB |
Output is correct |
93 |
Correct |
120 ms |
4308 KB |
Output is correct |
94 |
Correct |
268 ms |
4308 KB |
Output is correct |
95 |
Correct |
335 ms |
4312 KB |
Output is correct |
96 |
Correct |
368 ms |
4308 KB |
Output is correct |
97 |
Correct |
393 ms |
4308 KB |
Output is correct |
98 |
Correct |
234 ms |
4308 KB |
Output is correct |
99 |
Correct |
246 ms |
4308 KB |
Output is correct |
100 |
Correct |
254 ms |
4308 KB |
Output is correct |
101 |
Correct |
227 ms |
4308 KB |
Output is correct |
102 |
Correct |
230 ms |
4308 KB |
Output is correct |
103 |
Correct |
234 ms |
4316 KB |
Output is correct |
104 |
Correct |
267 ms |
4308 KB |
Output is correct |
105 |
Correct |
233 ms |
4308 KB |
Output is correct |