CSES - Datatähti Open 2021 - Results
Submission details
Task:Programmers
Sender:fishy15
Submission time:2021-01-31 03:14:17 +0200
Language:C++ (C++17)
Status:READY
Result:34
Feedback
groupverdictscore
#1ACCEPTED34
#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
#5ACCEPTED0.01 s1, 2, 3details
#6ACCEPTED0.01 s1, 2, 3details
#7ACCEPTED0.01 s1, 2, 3details
#8ACCEPTED0.05 s1, 2, 3details
#9ACCEPTED0.05 s1, 2, 3details
#10ACCEPTED0.05 s1, 2, 3details
#11ACCEPTED0.05 s1, 2, 3details
#12ACCEPTED0.04 s1, 3details
#13ACCEPTED0.06 s1, 3details
#14ACCEPTED0.06 s1, 3details
#15ACCEPTED0.06 s1, 3details
#16ACCEPTED0.06 s1, 3details
#17--2, 3details
#18--2, 3details
#19--2, 3details
#20--2, 3details
#21--2, 3details
#22--2, 3details
#23--2, 3details
#24--3details
#25--3details
#26--3details
#27--3details
#28--3details
#29--3details
#30--3details
#31--3details

Code

#include <iostream>
#include <iomanip>
#include <fstream>
#include <vector>
#include <array>
#include <algorithm>
#include <utility>
#include <map>
#include <queue>
#include <set>
#include <cmath>
#include <cstdio>
#include <cstring>

#define ll long long
#define ld long double
#define eps 1e-8
#define MOD 1000000007

#define INF 0x3f3f3f3f
#define INFLL 0x3f3f3f3f3f3f3f3f

// change if necessary
#define MAXN 200010

using namespace std;

int n, k;
int nums[MAXN];

vector<int> solve(int l, int r) {
    if (r - l <= 0) {
        return {0};
    } else if (r - l == 1) {
        return {0, nums[r] - nums[l]};
    }

    int m = (l + r) / 2;
    vector<int> res((r - l + 1) / 2 + 1, INF);

    // use the middle section
    vector<int> left = solve(l, m - 1);
    vector<int> right = solve(m + 2, r);

    for (int k = 0; k <= (int)(left.size() + right.size()) - 2; k++) {
        int lsz = left.size();
        int rsz = right.size();
        int lo = max(0, k - rsz + 1);
        int hi = min(k, lsz - 1);
        int ans = INF;
        while (lo <= hi) {
            int m1 = lo + (hi - lo) / 3;
            int m2 = hi - (hi - lo) / 3;
            int v1 = left[m1] + right[k - m1];
            int v2 = left[m2] + right[k - m2];
            if (v1 < v2) {
                ans = v1;
                hi = m2 - 1;
            } else if (v1 == v2) {
                ans = v1;
                lo = m1 + 1;
                hi = m2 - 1;
            } else {
                ans = v2;
                lo = m1 + 1;
            }
        }
        res[k + 1] = nums[m + 1] - nums[m] + ans;
    }

    // don't use the middle
    left = solve(l, m);
    right = solve(m + 1, r);

    for (int k = 0; k <= (int)(left.size() + right.size()) - 2; k++) {
        int lsz = left.size();
        int rsz = right.size();
        int lo = max(0, k - rsz + 1);
        int hi = min(k, lsz - 1);
        int ans = INF;
        while (lo <= hi) {
            int m1 = lo + (hi - lo) / 3;
            int m2 = hi - (hi - lo) / 3;
            int v1 = left[m1] + right[k - m1];
            int v2 = left[m2] + right[k - m2];
            if (v1 < v2) {
                ans = v1;
                hi = m2 - 1;
            } else if (v1 == v2) {
                ans = v1;
                lo = m1 + 1;
                hi = m2 - 1;
            } else {
                ans = v2;
                lo = m1 + 1;
            }
        }
        res[k] = min(ans, res[k]);
    }

    return res;
}

int main() {
    cin.tie(0)->sync_with_stdio(0);

    cin >> n >> k;
    for (int i = 0; i < n; i++) {
        cin >> nums[i];
    }

    sort(nums, nums + n);

    vector<int> v = solve(0, n - 1);
    cout << v[k] << '\n';

    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: ACCEPTED

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

correct output
0

user output
0

Test 6

Group: 1, 2, 3

Verdict: ACCEPTED

input
10 3
10 19 16 15 12 5 14 8 3 15

correct output
4

user output
4

Test 7

Group: 1, 2, 3

Verdict: ACCEPTED

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

correct output
213

user output
213

Test 8

Group: 1, 2, 3

Verdict: ACCEPTED

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

correct output
0

user output
0

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: ACCEPTED

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

correct output
0

user output
0

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:

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

correct output
290

user output
(empty)

Test 23

Group: 2, 3

Verdict:

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

correct output
252

user output
(empty)

Test 24

Group: 3

Verdict:

input
195426 76599
442872072 619088799 118541378 ...

correct output
143376538

user output
(empty)

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
(empty)

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
(empty)

Test 29

Group: 3

Verdict:

input
200000 99987
297598052 494409138 182268523 ...

correct output
489497036

user output
(empty)

Test 30

Group: 3

Verdict:

input
200000 99971
316462272 843156468 434342923 ...

correct output
483167476

user output
(empty)

Test 31

Group: 3

Verdict:

input
200000 99964
811543559 465033274 620180191 ...

correct output
481497328

user output
(empty)