#include<bits/stdc++.h>
#define ll long long
#define f first
#define s second
#define pii pair<int,int>
#define pll pair<ll,ll>
#define ull unsigned ll
#define pb push_back
#define epb emplace_back
using namespace std;
const double inf = 1e9 + 1;
int main(){
int n; cin >> n;
int k; cin >> k;
pair<double, double> a[n + 1];
for(int i = 1; i <= n; i++){
cin >> a[i].s >> a[i].f;
if(a[i].f == -1) a[i].f = inf;
}
sort(a + 1, a + 1 + n);
for(int i = 1; i <= n; i++){
//cout << a[i].f << ' ' << a[i].s << "\n";
}
double ans = inf;
for(double x = 0; x <= n; x++){
double dp[n + 1][n + 1];
for(int i = 0; i <= n; i++){
for(int j = 0; j <= n; j++) dp[i][j] = inf;
}
dp[0][0] = 0;
for(int i = 1; i <= n; i++){
for(int j = 0; j <= n; j++){
double i1 = i;
double j1 = j;
if(j > 0)dp[i][j] =min(dp[i][j], dp[i - 1][j - 1] + a[i].f / j1);
dp[(int)i][(int)j] = min(dp[i][j], dp[i - 1][j] + a[i].s / (x + 1));
}
}
double cursum = 0;
multiset <pair<double, int> > st;
for(int i = 1; i <= n; i++){
cursum += a[i].s;
st.insert({a[i].s, i});
}
while(st.size() > k) {
cursum -= st.rbegin() -> f;
st.erase(st.find(*st.rbegin()));
}
for(int i = 1; i <= n; i++){
double cur = dp[i - 1][(int)x];
cur += cursum / (x + 1);
if(ans > cur){
//cout << dp[i - 1][x] << "\n";
//cout << x << ' ' << i;
//cout << "\n";
ans = cur;
}
multiset <pair<double, int> > :: iterator it = st.find({a[i].s, i});
if(it != st.end()){
cursum -= a[i].s;
st.erase({a[i].s, i});
}
if(st.size() > k - i && !st.empty()){
cursum -= st.rbegin() -> f;
st.erase(st.find(*st.rbegin()));
}
}
ans = min(ans, dp[n][(int)x]);
}
cout << fixed << setprecision(7) << ans;
return 0;
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:35:24: warning: unused variable 'i1' [-Wunused-variable]
35 | double i1 = i;
| ^~
Main.cpp:47:25: warning: comparison of integer expressions of different signedness: 'std::multiset<std::pair<double, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
47 | while(st.size() > k) {
| ~~~~~~~~~~^~~
Main.cpp:65:26: warning: comparison of integer expressions of different signedness: 'std::multiset<std::pair<double, int> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
65 | if(st.size() > k - i && !st.empty()){
| ~~~~~~~~~~^~~~~~~
# |
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 |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
380 ms |
2276 KB |
Output is correct |
6 |
Correct |
420 ms |
2280 KB |
Output is correct |
7 |
Correct |
414 ms |
2276 KB |
Output is correct |
8 |
Correct |
372 ms |
2260 KB |
Output is correct |
9 |
Correct |
402 ms |
2276 KB |
Output is correct |
10 |
Correct |
384 ms |
2276 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 |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
380 ms |
2276 KB |
Output is correct |
6 |
Correct |
420 ms |
2280 KB |
Output is correct |
7 |
Correct |
414 ms |
2276 KB |
Output is correct |
8 |
Correct |
372 ms |
2260 KB |
Output is correct |
9 |
Correct |
402 ms |
2276 KB |
Output is correct |
10 |
Correct |
384 ms |
2276 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
362 ms |
2280 KB |
Output is correct |
13 |
Correct |
347 ms |
2284 KB |
Output is correct |
14 |
Correct |
349 ms |
2288 KB |
Output is correct |
15 |
Correct |
352 ms |
2260 KB |
Output is correct |
16 |
Correct |
422 ms |
2260 KB |
Output is correct |
17 |
Correct |
365 ms |
2280 KB |
Output is correct |
18 |
Correct |
379 ms |
2276 KB |
Output is correct |
19 |
Correct |
367 ms |
2260 KB |
Output is correct |
20 |
Correct |
359 ms |
2276 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
304 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
304 KB |
Output is correct |
16 |
Correct |
1 ms |
300 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
300 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 |
300 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 |
296 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 |
304 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
300 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 |
296 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
304 KB |
Output is correct |
16 |
Correct |
1 ms |
300 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
300 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 |
300 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 |
296 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 |
304 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
300 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 |
296 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
5 ms |
304 KB |
Output is correct |
42 |
Correct |
5 ms |
340 KB |
Output is correct |
43 |
Correct |
5 ms |
288 KB |
Output is correct |
44 |
Correct |
4 ms |
340 KB |
Output is correct |
45 |
Correct |
5 ms |
340 KB |
Output is correct |
46 |
Correct |
5 ms |
340 KB |
Output is correct |
47 |
Correct |
4 ms |
340 KB |
Output is correct |
48 |
Correct |
5 ms |
340 KB |
Output is correct |
49 |
Correct |
5 ms |
384 KB |
Output is correct |
50 |
Correct |
5 ms |
384 KB |
Output is correct |
51 |
Correct |
7 ms |
384 KB |
Output is correct |
52 |
Correct |
5 ms |
340 KB |
Output is correct |
53 |
Correct |
5 ms |
340 KB |
Output is correct |
54 |
Correct |
4 ms |
340 KB |
Output is correct |
55 |
Correct |
5 ms |
340 KB |
Output is correct |
56 |
Correct |
4 ms |
296 KB |
Output is correct |
57 |
Correct |
5 ms |
380 KB |
Output is correct |
58 |
Correct |
6 ms |
388 KB |
Output is correct |
59 |
Correct |
4 ms |
340 KB |
Output is correct |
60 |
Correct |
5 ms |
300 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
383 ms |
2292 KB |
Output is correct |
2 |
Correct |
377 ms |
2260 KB |
Output is correct |
3 |
Correct |
395 ms |
2280 KB |
Output is correct |
4 |
Correct |
406 ms |
2280 KB |
Output is correct |
5 |
Correct |
375 ms |
2288 KB |
Output is correct |
6 |
Correct |
435 ms |
2280 KB |
Output is correct |
7 |
Correct |
383 ms |
2276 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 |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
380 ms |
2276 KB |
Output is correct |
6 |
Correct |
420 ms |
2280 KB |
Output is correct |
7 |
Correct |
414 ms |
2276 KB |
Output is correct |
8 |
Correct |
372 ms |
2260 KB |
Output is correct |
9 |
Correct |
402 ms |
2276 KB |
Output is correct |
10 |
Correct |
384 ms |
2276 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
362 ms |
2280 KB |
Output is correct |
13 |
Correct |
347 ms |
2284 KB |
Output is correct |
14 |
Correct |
349 ms |
2288 KB |
Output is correct |
15 |
Correct |
352 ms |
2260 KB |
Output is correct |
16 |
Correct |
422 ms |
2260 KB |
Output is correct |
17 |
Correct |
365 ms |
2280 KB |
Output is correct |
18 |
Correct |
379 ms |
2276 KB |
Output is correct |
19 |
Correct |
367 ms |
2260 KB |
Output is correct |
20 |
Correct |
359 ms |
2276 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
304 KB |
Output is correct |
36 |
Correct |
1 ms |
300 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
300 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 |
300 KB |
Output is correct |
42 |
Correct |
1 ms |
212 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 |
296 KB |
Output is correct |
47 |
Correct |
1 ms |
212 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 |
304 KB |
Output is correct |
51 |
Correct |
1 ms |
212 KB |
Output is correct |
52 |
Correct |
1 ms |
212 KB |
Output is correct |
53 |
Correct |
0 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
300 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 |
296 KB |
Output is correct |
60 |
Correct |
1 ms |
212 KB |
Output is correct |
61 |
Correct |
5 ms |
304 KB |
Output is correct |
62 |
Correct |
5 ms |
340 KB |
Output is correct |
63 |
Correct |
5 ms |
288 KB |
Output is correct |
64 |
Correct |
4 ms |
340 KB |
Output is correct |
65 |
Correct |
5 ms |
340 KB |
Output is correct |
66 |
Correct |
5 ms |
340 KB |
Output is correct |
67 |
Correct |
4 ms |
340 KB |
Output is correct |
68 |
Correct |
5 ms |
340 KB |
Output is correct |
69 |
Correct |
5 ms |
384 KB |
Output is correct |
70 |
Correct |
5 ms |
384 KB |
Output is correct |
71 |
Correct |
7 ms |
384 KB |
Output is correct |
72 |
Correct |
5 ms |
340 KB |
Output is correct |
73 |
Correct |
5 ms |
340 KB |
Output is correct |
74 |
Correct |
4 ms |
340 KB |
Output is correct |
75 |
Correct |
5 ms |
340 KB |
Output is correct |
76 |
Correct |
4 ms |
296 KB |
Output is correct |
77 |
Correct |
5 ms |
380 KB |
Output is correct |
78 |
Correct |
6 ms |
388 KB |
Output is correct |
79 |
Correct |
4 ms |
340 KB |
Output is correct |
80 |
Correct |
5 ms |
300 KB |
Output is correct |
81 |
Correct |
383 ms |
2292 KB |
Output is correct |
82 |
Correct |
377 ms |
2260 KB |
Output is correct |
83 |
Correct |
395 ms |
2280 KB |
Output is correct |
84 |
Correct |
406 ms |
2280 KB |
Output is correct |
85 |
Correct |
375 ms |
2288 KB |
Output is correct |
86 |
Correct |
435 ms |
2280 KB |
Output is correct |
87 |
Correct |
383 ms |
2276 KB |
Output is correct |
88 |
Correct |
383 ms |
2288 KB |
Output is correct |
89 |
Correct |
366 ms |
2380 KB |
Output is correct |
90 |
Correct |
361 ms |
2276 KB |
Output is correct |
91 |
Correct |
365 ms |
2384 KB |
Output is correct |
92 |
Correct |
352 ms |
2280 KB |
Output is correct |
93 |
Correct |
367 ms |
2380 KB |
Output is correct |
94 |
Correct |
367 ms |
2284 KB |
Output is correct |
95 |
Correct |
374 ms |
2380 KB |
Output is correct |
96 |
Correct |
380 ms |
2276 KB |
Output is correct |
97 |
Correct |
380 ms |
2280 KB |
Output is correct |
98 |
Correct |
361 ms |
2260 KB |
Output is correct |
99 |
Correct |
419 ms |
2280 KB |
Output is correct |
100 |
Correct |
392 ms |
2292 KB |
Output is correct |
101 |
Correct |
368 ms |
2296 KB |
Output is correct |
102 |
Correct |
397 ms |
2276 KB |
Output is correct |
103 |
Correct |
425 ms |
2280 KB |
Output is correct |
104 |
Correct |
368 ms |
2276 KB |
Output is correct |
105 |
Correct |
373 ms |
2280 KB |
Output is correct |