//Never stop trying
#include "bits/stdc++.h"
using namespace std;
#define boost ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)
typedef long long ll;
typedef string str;
typedef long double ld;
typedef pair<int, int> pi;
#define fi first
#define se second
typedef vector<int> vi;
typedef vector<pi> vpi;
#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define endl "\n"
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
const int MOD = 1e9 + 7; //998244353
const ll INF = 1e18;
const int nx[4] = {0, 0, 1, -1}, ny[4] = {1, -1, 0, 0}; //right left down up
template<class T> using V = vector<T>;
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded up
//constexpr int log2(int x) { return 31 - __builtin_clz(x); } // floor(log2(x))
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
//mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());
ll random(ll a, ll b){
return a + rng() % (b - a + 1);
}
#ifndef LOCAL
#define cerr if(false) cerr
#endif
#define dbg(x) cerr << #x << " : " << x << endl;
#define dbgs(x,y) cerr << #x << " : " << x << " / " << #y << " : " << y << endl;
#define dbgv(v) cerr << #v << " : " << "[ "; for(auto it : v) cerr << it << ' '; cerr << ']' << endl;
#define here() cerr << "here" << endl;
void IO() {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
}
/////////////////////////ONLY CLEAN CODES ALLOWED/////////////////////////
const int MX=510;
int N,K;
vi a(MX),b(MX),p;
vector<vector<ld>>memo;
int nbCollTarget;
ld solve(int i, int nbCollCur){
ld &ind=memo[i][nbCollCur];
if(ind!=-1) return ind;
int nbNormalCur=i-nbCollCur;
if(nbCollCur==nbCollTarget){
int r = K - nbCollTarget - nbNormalCur;
vi vec;
FOR(j,i,N) vec.pb(a[p[j]]);
sort(all(vec));
//dbgv(vec)
ld ans=0;
FOR(j,0,r){
int x=vec[j];
ans+=((ld)(x))/(nbCollTarget+1);
}
return ans;
}
ld ans=solve(i+1,nbCollCur+1) + ((ld)(b[p[i]]))/(nbCollCur+1);
if(nbNormalCur+nbCollTarget<K){
ckmin(ans,solve(i+1,nbCollCur) + ((ld)(a[p[i]]))/(nbCollTarget+1) );
}
return ind=ans;
}
int main() {
boost; IO();
cin>>N>>K;
FOR(i,0,N){
cin>>a[i]>>b[i];
p.pb(i);
if(b[i]==-1) b[i]=1e9;
}
sort(all(p), [&](int i, int j){
return b[i] < b[j];
});
//dbgv(p)
ld ans=1e9;
FOR(n,0,K+1){
if(n && b[p[n-1]]==1e9) break;
//nb collab wanted
nbCollTarget=n;
memo.resize(N+5);
FOR(i,0,N+5) memo[i].assign(N+5,-1);
ckmin(ans,solve(0,0));
}
cout << fixed << setprecision(10) << ans << endl;
return 0;
}
//Change your approach
# |
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 |
3 ms |
4308 KB |
Output is correct |
6 |
Correct |
3 ms |
4308 KB |
Output is correct |
7 |
Correct |
2 ms |
4308 KB |
Output is correct |
8 |
Correct |
2 ms |
4308 KB |
Output is correct |
9 |
Correct |
2 ms |
4308 KB |
Output is correct |
10 |
Correct |
3 ms |
4308 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 |
3 ms |
4308 KB |
Output is correct |
6 |
Correct |
3 ms |
4308 KB |
Output is correct |
7 |
Correct |
2 ms |
4308 KB |
Output is correct |
8 |
Correct |
2 ms |
4308 KB |
Output is correct |
9 |
Correct |
2 ms |
4308 KB |
Output is correct |
10 |
Correct |
3 ms |
4308 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
150 ms |
4340 KB |
Output is correct |
13 |
Correct |
223 ms |
4348 KB |
Output is correct |
14 |
Correct |
210 ms |
4308 KB |
Output is correct |
15 |
Correct |
555 ms |
4368 KB |
Output is correct |
16 |
Correct |
902 ms |
4368 KB |
Output is correct |
17 |
Correct |
436 ms |
4368 KB |
Output is correct |
18 |
Correct |
1082 ms |
4388 KB |
Output is correct |
19 |
Correct |
1126 ms |
4388 KB |
Output is correct |
20 |
Correct |
504 ms |
4296 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 |
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 |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 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 |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 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 |
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 |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 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 |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 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 |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
256 KB |
Output is correct |
22 |
Correct |
1 ms |
384 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
0 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 |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 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 |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
340 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 |
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 |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 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 |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 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 |
340 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
256 KB |
Output is correct |
22 |
Correct |
1 ms |
384 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
0 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 |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
0 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 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 |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
1 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
1 ms |
468 KB |
Output is correct |
42 |
Correct |
1 ms |
512 KB |
Output is correct |
43 |
Correct |
2 ms |
468 KB |
Output is correct |
44 |
Correct |
2 ms |
468 KB |
Output is correct |
45 |
Correct |
6 ms |
460 KB |
Output is correct |
46 |
Correct |
4 ms |
468 KB |
Output is correct |
47 |
Correct |
5 ms |
456 KB |
Output is correct |
48 |
Correct |
6 ms |
468 KB |
Output is correct |
49 |
Correct |
9 ms |
516 KB |
Output is correct |
50 |
Correct |
9 ms |
516 KB |
Output is correct |
51 |
Correct |
18 ms |
468 KB |
Output is correct |
52 |
Correct |
9 ms |
468 KB |
Output is correct |
53 |
Correct |
6 ms |
468 KB |
Output is correct |
54 |
Correct |
5 ms |
456 KB |
Output is correct |
55 |
Correct |
6 ms |
468 KB |
Output is correct |
56 |
Correct |
5 ms |
468 KB |
Output is correct |
57 |
Correct |
5 ms |
468 KB |
Output is correct |
58 |
Correct |
5 ms |
468 KB |
Output is correct |
59 |
Correct |
4 ms |
468 KB |
Output is correct |
60 |
Correct |
5 ms |
468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1414 ms |
4388 KB |
Output is correct |
2 |
Correct |
1437 ms |
4392 KB |
Output is correct |
3 |
Correct |
1459 ms |
4388 KB |
Output is correct |
4 |
Correct |
1438 ms |
4392 KB |
Output is correct |
5 |
Correct |
1430 ms |
4388 KB |
Output is correct |
6 |
Correct |
1439 ms |
4388 KB |
Output is correct |
7 |
Correct |
1281 ms |
4392 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 |
3 ms |
4308 KB |
Output is correct |
6 |
Correct |
3 ms |
4308 KB |
Output is correct |
7 |
Correct |
2 ms |
4308 KB |
Output is correct |
8 |
Correct |
2 ms |
4308 KB |
Output is correct |
9 |
Correct |
2 ms |
4308 KB |
Output is correct |
10 |
Correct |
3 ms |
4308 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
150 ms |
4340 KB |
Output is correct |
13 |
Correct |
223 ms |
4348 KB |
Output is correct |
14 |
Correct |
210 ms |
4308 KB |
Output is correct |
15 |
Correct |
555 ms |
4368 KB |
Output is correct |
16 |
Correct |
902 ms |
4368 KB |
Output is correct |
17 |
Correct |
436 ms |
4368 KB |
Output is correct |
18 |
Correct |
1082 ms |
4388 KB |
Output is correct |
19 |
Correct |
1126 ms |
4388 KB |
Output is correct |
20 |
Correct |
504 ms |
4296 KB |
Output is correct |
21 |
Correct |
0 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 |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
0 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
0 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 |
1 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 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 |
340 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
1 ms |
256 KB |
Output is correct |
42 |
Correct |
1 ms |
384 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
0 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 |
340 KB |
Output is correct |
49 |
Correct |
1 ms |
212 KB |
Output is correct |
50 |
Correct |
0 ms |
212 KB |
Output is correct |
51 |
Correct |
1 ms |
340 KB |
Output is correct |
52 |
Correct |
1 ms |
212 KB |
Output is correct |
53 |
Correct |
0 ms |
212 KB |
Output is correct |
54 |
Correct |
0 ms |
212 KB |
Output is correct |
55 |
Correct |
0 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
212 KB |
Output is correct |
58 |
Correct |
0 ms |
212 KB |
Output is correct |
59 |
Correct |
1 ms |
212 KB |
Output is correct |
60 |
Correct |
1 ms |
340 KB |
Output is correct |
61 |
Correct |
1 ms |
468 KB |
Output is correct |
62 |
Correct |
1 ms |
512 KB |
Output is correct |
63 |
Correct |
2 ms |
468 KB |
Output is correct |
64 |
Correct |
2 ms |
468 KB |
Output is correct |
65 |
Correct |
6 ms |
460 KB |
Output is correct |
66 |
Correct |
4 ms |
468 KB |
Output is correct |
67 |
Correct |
5 ms |
456 KB |
Output is correct |
68 |
Correct |
6 ms |
468 KB |
Output is correct |
69 |
Correct |
9 ms |
516 KB |
Output is correct |
70 |
Correct |
9 ms |
516 KB |
Output is correct |
71 |
Correct |
18 ms |
468 KB |
Output is correct |
72 |
Correct |
9 ms |
468 KB |
Output is correct |
73 |
Correct |
6 ms |
468 KB |
Output is correct |
74 |
Correct |
5 ms |
456 KB |
Output is correct |
75 |
Correct |
6 ms |
468 KB |
Output is correct |
76 |
Correct |
5 ms |
468 KB |
Output is correct |
77 |
Correct |
5 ms |
468 KB |
Output is correct |
78 |
Correct |
5 ms |
468 KB |
Output is correct |
79 |
Correct |
4 ms |
468 KB |
Output is correct |
80 |
Correct |
5 ms |
468 KB |
Output is correct |
81 |
Correct |
1414 ms |
4388 KB |
Output is correct |
82 |
Correct |
1437 ms |
4392 KB |
Output is correct |
83 |
Correct |
1459 ms |
4388 KB |
Output is correct |
84 |
Correct |
1438 ms |
4392 KB |
Output is correct |
85 |
Correct |
1430 ms |
4388 KB |
Output is correct |
86 |
Correct |
1439 ms |
4388 KB |
Output is correct |
87 |
Correct |
1281 ms |
4392 KB |
Output is correct |
88 |
Correct |
45 ms |
4328 KB |
Output is correct |
89 |
Correct |
46 ms |
4352 KB |
Output is correct |
90 |
Correct |
185 ms |
4340 KB |
Output is correct |
91 |
Correct |
194 ms |
4340 KB |
Output is correct |
92 |
Correct |
554 ms |
4360 KB |
Output is correct |
93 |
Correct |
568 ms |
4308 KB |
Output is correct |
94 |
Correct |
1029 ms |
4372 KB |
Output is correct |
95 |
Correct |
1014 ms |
4416 KB |
Output is correct |
96 |
Correct |
1264 ms |
4384 KB |
Output is correct |
97 |
Correct |
1306 ms |
4388 KB |
Output is correct |
98 |
Correct |
864 ms |
4376 KB |
Output is correct |
99 |
Correct |
888 ms |
4372 KB |
Output is correct |
100 |
Correct |
890 ms |
4372 KB |
Output is correct |
101 |
Correct |
945 ms |
4372 KB |
Output is correct |
102 |
Correct |
850 ms |
4376 KB |
Output is correct |
103 |
Correct |
827 ms |
4372 KB |
Output is correct |
104 |
Correct |
897 ms |
4368 KB |
Output is correct |
105 |
Correct |
607 ms |
4372 KB |
Output is correct |