CSES - Datatähti Open 2021 - Results
Submission details
Task:Programmers
Sender:oleh1421
Submission time:2021-02-01 16:57:09 +0200
Language:C++11
Status:READY
Result:0
Feedback
groupverdictscore
#10
#20
#30
Test results
testverdicttimegroup
#1ACCEPTED0.01 s1, 2, 3details
#2ACCEPTED0.01 s1, 2, 3details
#3ACCEPTED0.01 s1, 2, 3details
#4ACCEPTED0.01 s1, 2, 3details
#50.01 s1, 2, 3details
#60.01 s1, 2, 3details
#70.01 s1, 2, 3details
#80.01 s1, 2, 3details
#9ACCEPTED0.01 s1, 2, 3details
#10ACCEPTED0.01 s1, 2, 3details
#110.01 s1, 2, 3details
#12ACCEPTED0.01 s1, 3details
#13ACCEPTED0.01 s1, 3details
#14ACCEPTED0.01 s1, 3details
#15ACCEPTED0.01 s1, 3details
#16ACCEPTED0.01 s1, 3details
#170.04 s2, 3details
#180.11 s2, 3details
#190.11 s2, 3details
#200.12 s2, 3details
#210.12 s2, 3details
#22ACCEPTED0.08 s2, 3details
#23ACCEPTED0.10 s2, 3details
#240.16 s3details
#250.15 s3details
#260.12 s3details
#270.18 s3details
#280.12 s3details
#29ACCEPTED0.10 s3details
#30ACCEPTED0.10 s3details
#31ACCEPTED0.10 s3details

Compiler report

input/code.cpp: In function 'void solve()':
input/code.cpp:47:46: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
         if (dp[i]>val || abs(dp[i]-val)<1e-6 && cnt[i]>cnt[i-2]+1){
                          ~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~

Code

//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
//#pragma GCC target("avx")
#include <bits/stdc++.h>
typedef long long ll;
#define endl '\n'
using namespace std;
const int N=200019;
const ll inf=1e18+1ll;
int cnt[N];
double dp[N];
double a[N];
void solve(){
    int n,k;cin>>n>>k;
    for (int i=1;i<=n;i++) cin>>a[i];
    sort(a+1,a+n+1);
    double L=0.0;
    double R=1000000001.0;
    double mn=R;
    for (int it=1;it<=100;it++){
        double mid=(L+R)/2.0;
        dp[0]=dp[1]=0.0;
        for (int i=2;i<=n;i++){
            dp[i]=dp[i-1];
            cnt[i]=cnt[i-1];
            if (dp[i]>a[i]-a[i-1]-mid+dp[i-2]){
                dp[i]=a[i]-a[i-1]-mid+dp[i-2];
                cnt[i]=cnt[i-2]+1;
            }
        }
        //cout<<L<<" "<<mid<<" "<<R<<" "<<cnt[b]<<

        if (cnt[n]>k) R=mid,mn=min(mn,R);
        else if (cnt[n]<k) L=mid;
        else {
            ll res=dp[n]+(cnt[n]*1.0)*mid;
//            if (cnt[n]!=k) exit(1);
            cout<<res<<endl;
            exit(0);
        }
    }
    dp[0]=dp[1]=0.0;
    for (int i=2;i<=n;i++){
        dp[i]=dp[i-1];
        cnt[i]=cnt[i-1];
        double val=a[i]-a[i-1]-mn+dp[i-2];
        if (dp[i]>val || abs(dp[i]-val)<1e-6 && cnt[i]>cnt[i-2]+1){
            dp[i]=val;
            cnt[i]=cnt[i-2]+1;
        }
    }
    if (cnt[n]!=k) exit(1);
    cout<<dp[n]+mn*cnt[n]<<endl;


}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    int tt=1;
    while (tt--){
        solve();
    }
    return 0;
}

Test details

Test 1

Group: 1, 2, 3

Verdict: ACCEPTED

input
8 3
3 1 2 7 9 3 4 7

correct output
1

user output
1

Test 2

Group: 1, 2, 3

Verdict: ACCEPTED

input
2 1
2 13

correct output
11

user output
11

Test 3

Group: 1, 2, 3

Verdict: ACCEPTED

input
20 10
16 20 6 15 19 12 11 17 20 6 15...

correct output
6

user output
6

Test 4

Group: 1, 2, 3

Verdict: ACCEPTED

input
14 5
11 3 8 3 14 8 10 13 11 10 17 1...

correct output
0

user output
0

Test 5

Group: 1, 2, 3

Verdict:

input
15 1
8 5 1 8 18 15 6 20 14 9 10 9 1...

correct output
0

user output
(empty)

Test 6

Group: 1, 2, 3

Verdict:

input
10 3
10 19 16 15 12 5 14 8 3 15

correct output
4

user output
(empty)

Test 7

Group: 1, 2, 3

Verdict:

input
202 90
177 187 183 647 616 580 499 78...

correct output
213

user output
(empty)

Test 8

Group: 1, 2, 3

Verdict:

input
2000 512
141 583 135 833 900 308 248 58...

correct output
0

user output
(empty)

Test 9

Group: 1, 2, 3

Verdict: ACCEPTED

input
2000 972
685 4 289 865 93 159 48 866 56...

correct output
276

user output
276

Test 10

Group: 1, 2, 3

Verdict: ACCEPTED

input
2000 1000
698 153 298 118 631 341 238 7 ...

correct output
517

user output
517

Test 11

Group: 1, 2, 3

Verdict:

input
2000 1
983 144 449 584 839 166 77 885...

correct output
0

user output
(empty)

Test 12

Group: 1, 3

Verdict: ACCEPTED

input
1464 320
846762124 954854396 12767390 7...

correct output
35809369

user output
35809369

Test 13

Group: 1, 3

Verdict: ACCEPTED

input
2000 231
801945178 924940258 369188694 ...

correct output
7831421

user output
7831421

Test 14

Group: 1, 3

Verdict: ACCEPTED

input
2000 461
464790475 932031556 838378103 ...

correct output
37272564

user output
37272564

Test 15

Group: 1, 3

Verdict: ACCEPTED

input
2000 100
484046702 267135814 995006323 ...

correct output
1268400

user output
1268400

Test 16

Group: 1, 3

Verdict: ACCEPTED

input
2000 996
98352148 438929491 242618159 1...

correct output
445965905

user output
445965905

Test 17

Group: 2, 3

Verdict:

input
65879 19675
896 316 972 476 636 227 716 78...

correct output
0

user output
(empty)

Test 18

Group: 2, 3

Verdict:

input
200000 53820
995 720 135 767 943 742 191 26...

correct output
0

user output
(empty)

Test 19

Group: 2, 3

Verdict:

input
200000 32297
527 947 84 851 908 833 339 112...

correct output
0

user output
(empty)

Test 20

Group: 2, 3

Verdict:

input
200000 99982
561 174 242 275 460 109 664 68...

correct output
322

user output
(empty)

Test 21

Group: 2, 3

Verdict:

input
200000 99955
911 33 314 861 298 117 972 982...

correct output
245

user output
(empty)

Test 22

Group: 2, 3

Verdict: ACCEPTED

input
200000 99972
783 1000 673 611 87 452 702 92...

correct output
290

user output
290

Test 23

Group: 2, 3

Verdict: ACCEPTED

input
200000 99961
795 136 128 643 60 422 371 839...

correct output
252

user output
252

Test 24

Group: 3

Verdict:

input
195426 76599
442872072 619088799 118541378 ...

correct output
143376538

user output
143376537

Test 25

Group: 3

Verdict:

input
200000 1661
894106972 620084612 931442312 ...

correct output
33089

user output
(empty)

Test 26

Group: 3

Verdict:

input
200000 86032
211444153 846442677 297198384 ...

correct output
196001810

user output
196001809

Test 27

Group: 3

Verdict:

input
200000 28275
28280312 349705372 96535649 84...

correct output
11627219

user output
(empty)

Test 28

Group: 3

Verdict:

input
200000 81473
178022892 112774306 250584651 ...

correct output
162430841

user output
162430840

Test 29

Group: 3

Verdict: ACCEPTED

input
200000 99987
297598052 494409138 182268523 ...

correct output
489497036

user output
489497036

Test 30

Group: 3

Verdict: ACCEPTED

input
200000 99971
316462272 843156468 434342923 ...

correct output
483167476

user output
483167476

Test 31

Group: 3

Verdict: ACCEPTED

input
200000 99964
811543559 465033274 620180191 ...

correct output
481497328

user output
481497328