//#include<i_am_noob_orz>
#include<bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
#define ll long long
#define int ll
#define ull unsigned long long
#define pii pair<int,int>
#define X first
#define Y second
#define mod ((ll)1e9+7)
#define pb push_back
#define mp make_pair
#define abs(x) ((x)>0?(x):(-(x)))
#define F(n) Fi(i,n)
#define Fi(i,n) Fl(i,0,n)
#define Fl(i,l,n) for(int i=l;i<n;i++)
#define memres(a) memset(a,0,sizeof(a))
#define all(a) a.begin(),a.end()
#define sz(a) ((int)a.size())
#define ceiling(a,b) (((a)+(b)-1)/(b))
#define endl '\n'
#define bit_count(x) __builtin_popcountll((x))
#define ykh mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define jimmy_is_kind false
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> rbtree;
//#define LOCAL
#ifdef LOCAL
#define bug(...) cerr<<"#"<<__LINE__<<' '<<#__VA_ARGS__<<"- ", _do(__VA_ARGS__)
template<typename T> void _do(T && x) {cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T && x, S&&...y) {cerr<<x<<", "; _do(y...);}
#define IOS()
#else
#define IOS() ios_base::sync_with_stdio(0), cin.tie(0)
#define endl '\n'
#define bug(...)
#endif
int add(int a,int b){return(a+b>=mod?a+b-mod:a+b);}
int sub(int a,int b){return(a<b?a+mod-b:a-b);}
int po(int a,int b){
if(b==0)return 1;
if(b==1)return(a%mod);
int tem=po(a,b/2);
if(b&1)return(((tem*tem)%mod)*a)%mod;
else return(tem*tem)%mod;
}
int GCD(int a,int b){
int x=0;
int ra,rb;
while(a&&b){
if(((a&1)==0)&&((b&1)==0)){
a>>=1,b>>=1,x++;
}
else if((a^b)&1){
if(a&1)b>>=1;
else a>>=1;
}
else{
ra=abs(a-b),rb=min(a,b);
a=ra,b=rb;
}
}
return max(a,b)<<x;
}
int gcd(int a,int b){if(b==0)return a;return gcd(b,a%b);}
int n,k;
pii pt[505],pt2[505];
vector<pii>pt1;
double dp[505][505],tdp[505][505],rd[505][505],rm[505][505];
bool cmp(pii a,pii b){
if(a.Y==-1&&b.Y==-1){
return a.X<b.X;
}
if(a.Y==-1){
return false;
}
if(b.Y==-1)return true;
return a.Y<b.Y;
}
signed main(){
IOS();
cin>>n>>k;
F(n)cin>>pt[i].X>>pt[i].Y;
sort(pt,pt+n,cmp);
F(n)bug(pt[i].Y);
F(n+1)Fi(j,n+1)dp[i][j]=tdp[i][j]=rd[i][j]=-1;
bug(dp[0][0]);
dp[0][0]=0;
Fi(l,k){
for(int i=0;i<n;i++){
for(int j=0;j<=l;j++){
if(dp[i][j]==-1)continue;
if(pt[i].Y!=-1){
if(dp[i+1][j+1]!=-1)dp[i+1][j+1]=min(dp[i+1][j+1],dp[i][j]+(((double)(pt[i].Y))/((double)(j+1))));
else dp[i+1][j+1]=dp[i][j]+(((double)(pt[i].Y))/((double)(j+1)));
}
if(dp[i+1][j]!=-1)dp[i+1][j]=min(dp[i+1][j],dp[i][j]+(((double)(pt[i].X))/((double)(l+1))));
else dp[i+1][j]=dp[i][j]+(((double)(pt[i].X))/((double)(l+1)));
}
}
for(int i=0;i<=n;i++)rm[l][i]=dp[i][l];
}
rd[n][0]=0;
for(int i=n-1;i>=0;i--){
for(int j=0;j<n;j++){
if(rd[i+1][j]==-1)continue;
rd[i][j]=(rd[i][j]==-1?rd[i+1][j]:min(rd[i+1][j],rd[i][j]));
rd[i][j+1]=(rd[i][j+1]==-1?rd[i+1][j]+pt[i].X:min(rd[i][j+1],rd[i+1][j]+pt[i].X));
}
}
double ans=1e18;
F(k){
for(int j=i;j<k;j++){
if(rm[i][j]!=-1)ans=min(ans,rm[i][j]+((double)(rd[j][k-j]))/((double)(i+1)));
bug(i,j,rm[i][j]);
bug(ans);
}
if(rm[i][k]!=-1)ans=min(ans,rm[i][k]);
}
cout<<fixed<<setprecision(10);
cout<<ans<<endl;
return 0;
}
/*
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
6 ms |
6476 KB |
Output is correct |
6 |
Correct |
8 ms |
6732 KB |
Output is correct |
7 |
Correct |
21 ms |
7220 KB |
Output is correct |
8 |
Correct |
34 ms |
7704 KB |
Output is correct |
9 |
Correct |
55 ms |
8240 KB |
Output is correct |
10 |
Correct |
30 ms |
7560 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
6 ms |
6476 KB |
Output is correct |
6 |
Correct |
8 ms |
6732 KB |
Output is correct |
7 |
Correct |
21 ms |
7220 KB |
Output is correct |
8 |
Correct |
34 ms |
7704 KB |
Output is correct |
9 |
Correct |
55 ms |
8240 KB |
Output is correct |
10 |
Correct |
30 ms |
7560 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
26 ms |
6812 KB |
Output is correct |
13 |
Correct |
22 ms |
6884 KB |
Output is correct |
14 |
Correct |
22 ms |
6860 KB |
Output is correct |
15 |
Correct |
110 ms |
7644 KB |
Output is correct |
16 |
Correct |
85 ms |
7548 KB |
Output is correct |
17 |
Correct |
56 ms |
7764 KB |
Output is correct |
18 |
Correct |
204 ms |
8224 KB |
Output is correct |
19 |
Correct |
155 ms |
8160 KB |
Output is correct |
20 |
Correct |
113 ms |
8244 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
324 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
460 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
456 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
456 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
308 KB |
Output is correct |
15 |
Correct |
1 ms |
456 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
324 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
460 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
456 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
456 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
308 KB |
Output is correct |
15 |
Correct |
1 ms |
456 KB |
Output is correct |
16 |
Correct |
1 ms |
588 KB |
Output is correct |
17 |
Correct |
1 ms |
588 KB |
Output is correct |
18 |
Correct |
1 ms |
588 KB |
Output is correct |
19 |
Correct |
1 ms |
588 KB |
Output is correct |
20 |
Correct |
1 ms |
584 KB |
Output is correct |
21 |
Correct |
1 ms |
588 KB |
Output is correct |
22 |
Correct |
1 ms |
588 KB |
Output is correct |
23 |
Correct |
1 ms |
588 KB |
Output is correct |
24 |
Correct |
1 ms |
584 KB |
Output is correct |
25 |
Correct |
1 ms |
588 KB |
Output is correct |
26 |
Correct |
1 ms |
588 KB |
Output is correct |
27 |
Correct |
1 ms |
588 KB |
Output is correct |
28 |
Correct |
1 ms |
588 KB |
Output is correct |
29 |
Correct |
1 ms |
588 KB |
Output is correct |
30 |
Correct |
1 ms |
588 KB |
Output is correct |
31 |
Correct |
1 ms |
588 KB |
Output is correct |
32 |
Correct |
1 ms |
588 KB |
Output is correct |
33 |
Correct |
1 ms |
588 KB |
Output is correct |
34 |
Correct |
1 ms |
588 KB |
Output is correct |
35 |
Correct |
1 ms |
588 KB |
Output is correct |
36 |
Correct |
1 ms |
584 KB |
Output is correct |
37 |
Correct |
1 ms |
588 KB |
Output is correct |
38 |
Correct |
1 ms |
588 KB |
Output is correct |
39 |
Correct |
1 ms |
588 KB |
Output is correct |
40 |
Correct |
1 ms |
588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
324 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
460 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
456 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
456 KB |
Output is correct |
13 |
Correct |
1 ms |
460 KB |
Output is correct |
14 |
Correct |
1 ms |
308 KB |
Output is correct |
15 |
Correct |
1 ms |
456 KB |
Output is correct |
16 |
Correct |
1 ms |
588 KB |
Output is correct |
17 |
Correct |
1 ms |
588 KB |
Output is correct |
18 |
Correct |
1 ms |
588 KB |
Output is correct |
19 |
Correct |
1 ms |
588 KB |
Output is correct |
20 |
Correct |
1 ms |
584 KB |
Output is correct |
21 |
Correct |
1 ms |
588 KB |
Output is correct |
22 |
Correct |
1 ms |
588 KB |
Output is correct |
23 |
Correct |
1 ms |
588 KB |
Output is correct |
24 |
Correct |
1 ms |
584 KB |
Output is correct |
25 |
Correct |
1 ms |
588 KB |
Output is correct |
26 |
Correct |
1 ms |
588 KB |
Output is correct |
27 |
Correct |
1 ms |
588 KB |
Output is correct |
28 |
Correct |
1 ms |
588 KB |
Output is correct |
29 |
Correct |
1 ms |
588 KB |
Output is correct |
30 |
Correct |
1 ms |
588 KB |
Output is correct |
31 |
Correct |
1 ms |
588 KB |
Output is correct |
32 |
Correct |
1 ms |
588 KB |
Output is correct |
33 |
Correct |
1 ms |
588 KB |
Output is correct |
34 |
Correct |
1 ms |
588 KB |
Output is correct |
35 |
Correct |
1 ms |
588 KB |
Output is correct |
36 |
Correct |
1 ms |
584 KB |
Output is correct |
37 |
Correct |
1 ms |
588 KB |
Output is correct |
38 |
Correct |
1 ms |
588 KB |
Output is correct |
39 |
Correct |
1 ms |
588 KB |
Output is correct |
40 |
Correct |
1 ms |
588 KB |
Output is correct |
41 |
Correct |
1 ms |
1604 KB |
Output is correct |
42 |
Correct |
2 ms |
1484 KB |
Output is correct |
43 |
Correct |
2 ms |
1612 KB |
Output is correct |
44 |
Correct |
1 ms |
1604 KB |
Output is correct |
45 |
Correct |
2 ms |
1736 KB |
Output is correct |
46 |
Correct |
2 ms |
1612 KB |
Output is correct |
47 |
Correct |
2 ms |
1740 KB |
Output is correct |
48 |
Correct |
3 ms |
1740 KB |
Output is correct |
49 |
Correct |
2 ms |
1860 KB |
Output is correct |
50 |
Correct |
2 ms |
1732 KB |
Output is correct |
51 |
Correct |
3 ms |
1864 KB |
Output is correct |
52 |
Correct |
3 ms |
1852 KB |
Output is correct |
53 |
Correct |
3 ms |
1740 KB |
Output is correct |
54 |
Correct |
2 ms |
1740 KB |
Output is correct |
55 |
Correct |
2 ms |
1740 KB |
Output is correct |
56 |
Correct |
2 ms |
1732 KB |
Output is correct |
57 |
Correct |
2 ms |
1736 KB |
Output is correct |
58 |
Correct |
2 ms |
1740 KB |
Output is correct |
59 |
Correct |
2 ms |
1740 KB |
Output is correct |
60 |
Correct |
2 ms |
1740 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
213 ms |
8200 KB |
Output is correct |
2 |
Correct |
217 ms |
8160 KB |
Output is correct |
3 |
Correct |
215 ms |
8256 KB |
Output is correct |
4 |
Correct |
247 ms |
8304 KB |
Output is correct |
5 |
Correct |
206 ms |
8132 KB |
Output is correct |
6 |
Correct |
197 ms |
8220 KB |
Output is correct |
7 |
Correct |
196 ms |
8124 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
6 ms |
6476 KB |
Output is correct |
6 |
Correct |
8 ms |
6732 KB |
Output is correct |
7 |
Correct |
21 ms |
7220 KB |
Output is correct |
8 |
Correct |
34 ms |
7704 KB |
Output is correct |
9 |
Correct |
55 ms |
8240 KB |
Output is correct |
10 |
Correct |
30 ms |
7560 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
26 ms |
6812 KB |
Output is correct |
13 |
Correct |
22 ms |
6884 KB |
Output is correct |
14 |
Correct |
22 ms |
6860 KB |
Output is correct |
15 |
Correct |
110 ms |
7644 KB |
Output is correct |
16 |
Correct |
85 ms |
7548 KB |
Output is correct |
17 |
Correct |
56 ms |
7764 KB |
Output is correct |
18 |
Correct |
204 ms |
8224 KB |
Output is correct |
19 |
Correct |
155 ms |
8160 KB |
Output is correct |
20 |
Correct |
113 ms |
8244 KB |
Output is correct |
21 |
Correct |
1 ms |
324 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
460 KB |
Output is correct |
27 |
Correct |
1 ms |
460 KB |
Output is correct |
28 |
Correct |
1 ms |
456 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
456 KB |
Output is correct |
33 |
Correct |
1 ms |
460 KB |
Output is correct |
34 |
Correct |
1 ms |
308 KB |
Output is correct |
35 |
Correct |
1 ms |
456 KB |
Output is correct |
36 |
Correct |
1 ms |
588 KB |
Output is correct |
37 |
Correct |
1 ms |
588 KB |
Output is correct |
38 |
Correct |
1 ms |
588 KB |
Output is correct |
39 |
Correct |
1 ms |
588 KB |
Output is correct |
40 |
Correct |
1 ms |
584 KB |
Output is correct |
41 |
Correct |
1 ms |
588 KB |
Output is correct |
42 |
Correct |
1 ms |
588 KB |
Output is correct |
43 |
Correct |
1 ms |
588 KB |
Output is correct |
44 |
Correct |
1 ms |
584 KB |
Output is correct |
45 |
Correct |
1 ms |
588 KB |
Output is correct |
46 |
Correct |
1 ms |
588 KB |
Output is correct |
47 |
Correct |
1 ms |
588 KB |
Output is correct |
48 |
Correct |
1 ms |
588 KB |
Output is correct |
49 |
Correct |
1 ms |
588 KB |
Output is correct |
50 |
Correct |
1 ms |
588 KB |
Output is correct |
51 |
Correct |
1 ms |
588 KB |
Output is correct |
52 |
Correct |
1 ms |
588 KB |
Output is correct |
53 |
Correct |
1 ms |
588 KB |
Output is correct |
54 |
Correct |
1 ms |
588 KB |
Output is correct |
55 |
Correct |
1 ms |
588 KB |
Output is correct |
56 |
Correct |
1 ms |
584 KB |
Output is correct |
57 |
Correct |
1 ms |
588 KB |
Output is correct |
58 |
Correct |
1 ms |
588 KB |
Output is correct |
59 |
Correct |
1 ms |
588 KB |
Output is correct |
60 |
Correct |
1 ms |
588 KB |
Output is correct |
61 |
Correct |
1 ms |
1604 KB |
Output is correct |
62 |
Correct |
2 ms |
1484 KB |
Output is correct |
63 |
Correct |
2 ms |
1612 KB |
Output is correct |
64 |
Correct |
1 ms |
1604 KB |
Output is correct |
65 |
Correct |
2 ms |
1736 KB |
Output is correct |
66 |
Correct |
2 ms |
1612 KB |
Output is correct |
67 |
Correct |
2 ms |
1740 KB |
Output is correct |
68 |
Correct |
3 ms |
1740 KB |
Output is correct |
69 |
Correct |
2 ms |
1860 KB |
Output is correct |
70 |
Correct |
2 ms |
1732 KB |
Output is correct |
71 |
Correct |
3 ms |
1864 KB |
Output is correct |
72 |
Correct |
3 ms |
1852 KB |
Output is correct |
73 |
Correct |
3 ms |
1740 KB |
Output is correct |
74 |
Correct |
2 ms |
1740 KB |
Output is correct |
75 |
Correct |
2 ms |
1740 KB |
Output is correct |
76 |
Correct |
2 ms |
1732 KB |
Output is correct |
77 |
Correct |
2 ms |
1736 KB |
Output is correct |
78 |
Correct |
2 ms |
1740 KB |
Output is correct |
79 |
Correct |
2 ms |
1740 KB |
Output is correct |
80 |
Correct |
2 ms |
1740 KB |
Output is correct |
81 |
Correct |
213 ms |
8200 KB |
Output is correct |
82 |
Correct |
217 ms |
8160 KB |
Output is correct |
83 |
Correct |
215 ms |
8256 KB |
Output is correct |
84 |
Correct |
247 ms |
8304 KB |
Output is correct |
85 |
Correct |
206 ms |
8132 KB |
Output is correct |
86 |
Correct |
197 ms |
8220 KB |
Output is correct |
87 |
Correct |
196 ms |
8124 KB |
Output is correct |
88 |
Correct |
10 ms |
6484 KB |
Output is correct |
89 |
Correct |
8 ms |
6460 KB |
Output is correct |
90 |
Correct |
22 ms |
6660 KB |
Output is correct |
91 |
Correct |
22 ms |
6724 KB |
Output is correct |
92 |
Correct |
66 ms |
7140 KB |
Output is correct |
93 |
Correct |
61 ms |
7256 KB |
Output is correct |
94 |
Correct |
123 ms |
7664 KB |
Output is correct |
95 |
Correct |
143 ms |
7748 KB |
Output is correct |
96 |
Correct |
163 ms |
7996 KB |
Output is correct |
97 |
Correct |
181 ms |
7924 KB |
Output is correct |
98 |
Correct |
116 ms |
7588 KB |
Output is correct |
99 |
Correct |
135 ms |
7640 KB |
Output is correct |
100 |
Correct |
116 ms |
7548 KB |
Output is correct |
101 |
Correct |
118 ms |
7616 KB |
Output is correct |
102 |
Correct |
122 ms |
7600 KB |
Output is correct |
103 |
Correct |
105 ms |
7540 KB |
Output is correct |
104 |
Correct |
124 ms |
7672 KB |
Output is correct |
105 |
Correct |
143 ms |
7660 KB |
Output is correct |