#include <bits/stdc++.h>
#include <bits/extc++.h>
#define StarBurstStream ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define iter(a) a.begin(), a.end()
#define riter(a) a.rbegin(), a.rend()
#define lsort(a) sort(iter(a))
#define gsort(a) sort(riter(a))
#define pb(a) push_back(a)
#define eb(a) emplace_back(a)
#define pf(a) push_front(a)
#define ef(a) emplace_front(a)
#define pob pop_back()
#define pof pop_front()
#define mp(a, b) make_pair(a, b)
#define F first
#define S second
#define mt make_tuple
#define gt(t, i) get<i>(t)
#define tomax(a, b) ((a) = max((a), (b)))
#define tomin(a, b) ((a) = min((a), (b)))
#define topos(a) ((a) = (((a) % MOD + MOD) % MOD))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define printv(a, b) {bool pvaspace=false; \
for(auto pva : a){ \
if(pvaspace) b << " "; pvaspace=true;\
b << pva;\
}\
b << "\n";}
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pdd = pair<ld, ld>;
using tiii = tuple<int, int, int>;
const ll MOD = 1000000007;
const ll MAX = 2147483647;
template<typename A, typename B>
ostream& operator<<(ostream& o, pair<A, B> p){
return o << '(' << p.F << ',' << p.S << ')';
}
ll ifloor(ll a, ll b){
if(b < 0) a *= -1, b *= -1;
if(a < 0) return (a - b + 1) / b;
else return a / b;
}
ll iceil(ll a, ll b){
if(b < 0) a *= -1, b *= -1;
if(a > 0) return (a + b - 1) / b;
else return a / b;
}
int n, K;
vector<int> a, b;
ld calc(int cnt){
//cerr << "calc " << cnt << "\n";
vector<vector<ld>> dp(cnt + 1, vector<ld>(n + 1, 1e87));
dp[0][0] = 0;
for(int i = 1; i <= n; i++){
for(int j = K; j >= 1; j--){
dp[cnt][j] = min(dp[cnt][j], dp[cnt][j - 1] + (ld)a[i] / (cnt + 1));
}
for(int j = cnt; j >= 0; j--){
if(j != cnt) dp[j][i] = min(dp[j][i], dp[j][i - 1] + (ld)a[i] / (cnt + 1));
if(j && b[i] != -1) dp[j][i] = min(dp[j][i], dp[j - 1][i - 1] + (ld)b[i] / j);
}
//cerr << "dp " << i << "\n";
//for(int j = 0; j <= cnt; j++) printv(dp[j], cerr);
}
//cerr << "calc ok " << dp[cnt][K] << "\n";
return dp[cnt][K];
}
int main(){
StarBurstStream
cin >> n >> K;
a.resize(n + 1);
b.resize(n + 1);
vector<pii> tmp(n + 1);
for(int i = 1; i <= n; i++) cin >> tmp[i].F >> tmp[i].S;
sort(tmp.begin() + 1, tmp.end(), [&](pii a, pii b){
if(a.S == b.S) return false;
if(a.S == -1) return false;
if(b.S == -1) return true;
return a.S < b.S;
});
for(int i = 1; i <= n; i++) tie(a[i], b[i]) = tmp[i];
ld ans = 1e87;
for(int i = 0; i <= K; i++) ans = min(ans, calc(i));
cout << fixed << setprecision(20) << ans << "\n";
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
14 ms |
748 KB |
Output is correct |
6 |
Correct |
82 ms |
1304 KB |
Output is correct |
7 |
Correct |
333 ms |
2484 KB |
Output is correct |
8 |
Correct |
777 ms |
3448 KB |
Output is correct |
9 |
Correct |
1344 ms |
4336 KB |
Output is correct |
10 |
Correct |
655 ms |
3376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
14 ms |
748 KB |
Output is correct |
6 |
Correct |
82 ms |
1304 KB |
Output is correct |
7 |
Correct |
333 ms |
2484 KB |
Output is correct |
8 |
Correct |
777 ms |
3448 KB |
Output is correct |
9 |
Correct |
1344 ms |
4336 KB |
Output is correct |
10 |
Correct |
655 ms |
3376 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
152 ms |
1504 KB |
Output is correct |
13 |
Correct |
155 ms |
1848 KB |
Output is correct |
14 |
Correct |
125 ms |
1580 KB |
Output is correct |
15 |
Correct |
833 ms |
3280 KB |
Output is correct |
16 |
Correct |
758 ms |
3064 KB |
Output is correct |
17 |
Correct |
691 ms |
3080 KB |
Output is correct |
18 |
Correct |
1739 ms |
4400 KB |
Output is correct |
19 |
Correct |
1569 ms |
4340 KB |
Output is correct |
20 |
Correct |
1392 ms |
4312 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
16 |
Correct |
0 ms |
204 KB |
Output is correct |
17 |
Correct |
0 ms |
204 KB |
Output is correct |
18 |
Correct |
0 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
0 ms |
204 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
0 ms |
204 KB |
Output is correct |
23 |
Correct |
0 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
0 ms |
204 KB |
Output is correct |
26 |
Correct |
0 ms |
204 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
0 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
0 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
204 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
0 ms |
204 KB |
Output is correct |
38 |
Correct |
0 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
0 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
204 KB |
Output is correct |
6 |
Correct |
1 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
0 ms |
204 KB |
Output is correct |
9 |
Correct |
0 ms |
204 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
0 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
204 KB |
Output is correct |
15 |
Correct |
0 ms |
204 KB |
Output is correct |
16 |
Correct |
0 ms |
204 KB |
Output is correct |
17 |
Correct |
0 ms |
204 KB |
Output is correct |
18 |
Correct |
0 ms |
204 KB |
Output is correct |
19 |
Correct |
1 ms |
204 KB |
Output is correct |
20 |
Correct |
0 ms |
204 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
0 ms |
204 KB |
Output is correct |
23 |
Correct |
0 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
0 ms |
204 KB |
Output is correct |
26 |
Correct |
0 ms |
204 KB |
Output is correct |
27 |
Correct |
1 ms |
204 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
1 ms |
204 KB |
Output is correct |
31 |
Correct |
0 ms |
204 KB |
Output is correct |
32 |
Correct |
1 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
0 ms |
204 KB |
Output is correct |
35 |
Correct |
1 ms |
204 KB |
Output is correct |
36 |
Correct |
1 ms |
204 KB |
Output is correct |
37 |
Correct |
0 ms |
204 KB |
Output is correct |
38 |
Correct |
0 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
0 ms |
204 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
2 ms |
332 KB |
Output is correct |
44 |
Correct |
3 ms |
332 KB |
Output is correct |
45 |
Correct |
4 ms |
332 KB |
Output is correct |
46 |
Correct |
4 ms |
332 KB |
Output is correct |
47 |
Correct |
5 ms |
332 KB |
Output is correct |
48 |
Correct |
6 ms |
416 KB |
Output is correct |
49 |
Correct |
8 ms |
436 KB |
Output is correct |
50 |
Correct |
7 ms |
436 KB |
Output is correct |
51 |
Correct |
13 ms |
480 KB |
Output is correct |
52 |
Correct |
13 ms |
488 KB |
Output is correct |
53 |
Correct |
5 ms |
332 KB |
Output is correct |
54 |
Correct |
6 ms |
332 KB |
Output is correct |
55 |
Correct |
6 ms |
408 KB |
Output is correct |
56 |
Correct |
6 ms |
332 KB |
Output is correct |
57 |
Correct |
6 ms |
332 KB |
Output is correct |
58 |
Correct |
6 ms |
332 KB |
Output is correct |
59 |
Correct |
6 ms |
332 KB |
Output is correct |
60 |
Correct |
6 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1743 ms |
4284 KB |
Output is correct |
2 |
Correct |
1716 ms |
4376 KB |
Output is correct |
3 |
Correct |
1732 ms |
4572 KB |
Output is correct |
4 |
Correct |
1740 ms |
4512 KB |
Output is correct |
5 |
Correct |
1704 ms |
4412 KB |
Output is correct |
6 |
Correct |
1700 ms |
4476 KB |
Output is correct |
7 |
Correct |
1710 ms |
4284 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
14 ms |
748 KB |
Output is correct |
6 |
Correct |
82 ms |
1304 KB |
Output is correct |
7 |
Correct |
333 ms |
2484 KB |
Output is correct |
8 |
Correct |
777 ms |
3448 KB |
Output is correct |
9 |
Correct |
1344 ms |
4336 KB |
Output is correct |
10 |
Correct |
655 ms |
3376 KB |
Output is correct |
11 |
Correct |
0 ms |
204 KB |
Output is correct |
12 |
Correct |
152 ms |
1504 KB |
Output is correct |
13 |
Correct |
155 ms |
1848 KB |
Output is correct |
14 |
Correct |
125 ms |
1580 KB |
Output is correct |
15 |
Correct |
833 ms |
3280 KB |
Output is correct |
16 |
Correct |
758 ms |
3064 KB |
Output is correct |
17 |
Correct |
691 ms |
3080 KB |
Output is correct |
18 |
Correct |
1739 ms |
4400 KB |
Output is correct |
19 |
Correct |
1569 ms |
4340 KB |
Output is correct |
20 |
Correct |
1392 ms |
4312 KB |
Output is correct |
21 |
Correct |
0 ms |
204 KB |
Output is correct |
22 |
Correct |
0 ms |
204 KB |
Output is correct |
23 |
Correct |
0 ms |
204 KB |
Output is correct |
24 |
Correct |
0 ms |
204 KB |
Output is correct |
25 |
Correct |
0 ms |
204 KB |
Output is correct |
26 |
Correct |
1 ms |
204 KB |
Output is correct |
27 |
Correct |
0 ms |
204 KB |
Output is correct |
28 |
Correct |
0 ms |
204 KB |
Output is correct |
29 |
Correct |
0 ms |
204 KB |
Output is correct |
30 |
Correct |
0 ms |
204 KB |
Output is correct |
31 |
Correct |
0 ms |
204 KB |
Output is correct |
32 |
Correct |
0 ms |
204 KB |
Output is correct |
33 |
Correct |
0 ms |
204 KB |
Output is correct |
34 |
Correct |
1 ms |
204 KB |
Output is correct |
35 |
Correct |
0 ms |
204 KB |
Output is correct |
36 |
Correct |
0 ms |
204 KB |
Output is correct |
37 |
Correct |
0 ms |
204 KB |
Output is correct |
38 |
Correct |
0 ms |
204 KB |
Output is correct |
39 |
Correct |
1 ms |
204 KB |
Output is correct |
40 |
Correct |
0 ms |
204 KB |
Output is correct |
41 |
Correct |
0 ms |
204 KB |
Output is correct |
42 |
Correct |
0 ms |
204 KB |
Output is correct |
43 |
Correct |
0 ms |
204 KB |
Output is correct |
44 |
Correct |
0 ms |
204 KB |
Output is correct |
45 |
Correct |
0 ms |
204 KB |
Output is correct |
46 |
Correct |
0 ms |
204 KB |
Output is correct |
47 |
Correct |
1 ms |
204 KB |
Output is correct |
48 |
Correct |
1 ms |
204 KB |
Output is correct |
49 |
Correct |
0 ms |
204 KB |
Output is correct |
50 |
Correct |
1 ms |
204 KB |
Output is correct |
51 |
Correct |
0 ms |
204 KB |
Output is correct |
52 |
Correct |
1 ms |
204 KB |
Output is correct |
53 |
Correct |
0 ms |
204 KB |
Output is correct |
54 |
Correct |
0 ms |
204 KB |
Output is correct |
55 |
Correct |
1 ms |
204 KB |
Output is correct |
56 |
Correct |
1 ms |
204 KB |
Output is correct |
57 |
Correct |
0 ms |
204 KB |
Output is correct |
58 |
Correct |
0 ms |
204 KB |
Output is correct |
59 |
Correct |
1 ms |
204 KB |
Output is correct |
60 |
Correct |
0 ms |
204 KB |
Output is correct |
61 |
Correct |
1 ms |
332 KB |
Output is correct |
62 |
Correct |
1 ms |
332 KB |
Output is correct |
63 |
Correct |
2 ms |
332 KB |
Output is correct |
64 |
Correct |
3 ms |
332 KB |
Output is correct |
65 |
Correct |
4 ms |
332 KB |
Output is correct |
66 |
Correct |
4 ms |
332 KB |
Output is correct |
67 |
Correct |
5 ms |
332 KB |
Output is correct |
68 |
Correct |
6 ms |
416 KB |
Output is correct |
69 |
Correct |
8 ms |
436 KB |
Output is correct |
70 |
Correct |
7 ms |
436 KB |
Output is correct |
71 |
Correct |
13 ms |
480 KB |
Output is correct |
72 |
Correct |
13 ms |
488 KB |
Output is correct |
73 |
Correct |
5 ms |
332 KB |
Output is correct |
74 |
Correct |
6 ms |
332 KB |
Output is correct |
75 |
Correct |
6 ms |
408 KB |
Output is correct |
76 |
Correct |
6 ms |
332 KB |
Output is correct |
77 |
Correct |
6 ms |
332 KB |
Output is correct |
78 |
Correct |
6 ms |
332 KB |
Output is correct |
79 |
Correct |
6 ms |
332 KB |
Output is correct |
80 |
Correct |
6 ms |
332 KB |
Output is correct |
81 |
Correct |
1743 ms |
4284 KB |
Output is correct |
82 |
Correct |
1716 ms |
4376 KB |
Output is correct |
83 |
Correct |
1732 ms |
4572 KB |
Output is correct |
84 |
Correct |
1740 ms |
4512 KB |
Output is correct |
85 |
Correct |
1704 ms |
4412 KB |
Output is correct |
86 |
Correct |
1700 ms |
4476 KB |
Output is correct |
87 |
Correct |
1710 ms |
4284 KB |
Output is correct |
88 |
Correct |
17 ms |
676 KB |
Output is correct |
89 |
Correct |
17 ms |
692 KB |
Output is correct |
90 |
Correct |
107 ms |
1304 KB |
Output is correct |
91 |
Correct |
103 ms |
1284 KB |
Output is correct |
92 |
Correct |
418 ms |
2284 KB |
Output is correct |
93 |
Correct |
426 ms |
2364 KB |
Output is correct |
94 |
Correct |
971 ms |
3544 KB |
Output is correct |
95 |
Correct |
957 ms |
3408 KB |
Output is correct |
96 |
Correct |
1370 ms |
3980 KB |
Output is correct |
97 |
Correct |
1381 ms |
4036 KB |
Output is correct |
98 |
Correct |
830 ms |
3148 KB |
Output is correct |
99 |
Correct |
843 ms |
3260 KB |
Output is correct |
100 |
Correct |
840 ms |
3344 KB |
Output is correct |
101 |
Correct |
833 ms |
3168 KB |
Output is correct |
102 |
Correct |
829 ms |
3336 KB |
Output is correct |
103 |
Correct |
834 ms |
3160 KB |
Output is correct |
104 |
Correct |
820 ms |
3116 KB |
Output is correct |
105 |
Correct |
824 ms |
3080 KB |
Output is correct |