CSES - Aalto Competitive Programming 2024 - wk10 - Mon - Results
Submission details
Task:6G network
Sender:Farah
Submission time:2024-11-11 17:33:48 +0200
Language:C++ (C++20)
Status:READY
Result:ACCEPTED
Test results
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Code

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<double, int> pii;

// Structure to represent a mast (point)
struct Mast {
    double x, y;
};

// Function to calculate Euclidean distance between two masts
double distance_between(const Mast& a, const Mast& b) {
    double dx = a.x - b.x;
    double dy = a.y - b.y;
    return sqrt(dx * dx + dy * dy);
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    
    int n;
    cin >> n;
    vector<Mast> masts(n);
    for(int i = 0; i < n; ++i){
        cin >> masts[i].x >> masts[i].y;
    }
    
    // Prim's algorithm implementation
    vector<bool> visited(n, false);
    vector<double> min_dist(n, 1e18);
    
    // Start from the first mast
    min_dist[0] = 0.0;
    double max_distance = 0.0;
    
    for(int i = 0; i < n; ++i){
        // Find the unvisited mast with the smallest min_dist
        double current_min = 1e18;
        int u = -1;
        for(int j = 0; j < n; ++j){
            if(!visited[j] && min_dist[j] < current_min){
                current_min = min_dist[j];
                u = j;
            }
        }
        
        if(u == -1){
            // All masts are visited
            break;
        }
        
        visited[u] = true;
        max_distance = max(max_distance, current_min);
        
        // Update min_dist for adjacent masts
        for(int v = 0; v < n; ++v){
            if(!visited[v]){
                double dist = distance_between(masts[u], masts[v]);
                if(dist < min_dist[v]){
                    min_dist[v] = dist;
                }
            }
        }
    }
    
    // Print the result with high precision
    cout << fixed << setprecision(12) << max_distance;
}

Test details

Test 1

Verdict: ACCEPTED

input
1
4.2591064316 -1.4305814994

correct output
0.00000000000000000000

user output
0.000000000000

Test 2

Verdict: ACCEPTED

input
2
-6.0847229043 -1.5324885688
-1.6396947713 -1.0447428951

correct output
4.47170783318572061639

user output
4.471707833186

Test 3

Verdict: ACCEPTED

input
2
-0.3451828704 -7.1873918490
1.0713060289 1.8791459872

correct output
9.17652162516311534299

user output
9.176521625163

Test 4

Verdict: ACCEPTED

input
3
4.2591064316 -1.4305814994
3.8176970288 4.3830061776
-0.1776213445 5.6005552105

correct output
5.83032108370083756695

user output
5.830321083701

Test 5

Verdict: ACCEPTED

input
3
-1.0847570211 7.2329426240
2.3665666348 -8.2915635928
-6.5499304506 -8.4795054694

correct output
15.90351936689602016951

user output
15.903519366896

Test 6

Verdict: ACCEPTED

input
4
-0.0065099865 -6.8175556290
-8.9288243166 -5.6345572909
-4.7044491466 -1.5514279091
1.0409756581 5.2858009044

correct output
8.93071128380134405655

user output
8.930711283801

Test 7

Verdict: ACCEPTED

input
4
-6.5835380846 -4.2392097853
-6.7150543624 -2.0586391194
-3.7243738734 -9.5714693167
-0.2547656922 8.6929691250

correct output
12.54322165726830064138

user output
12.543221657268

Test 8

Verdict: ACCEPTED

input
4
-6.3149870710 7.7035024848
4.0148832489 2.6391874051
-8.1980280145 -2.8164045396
7.7349470409 9.3888104114

correct output
11.50449946987819829780

user output
11.504499469878

Test 9

Verdict: ACCEPTED

input
4
3.1826102096 9.6315702959
9.7306184566 -9.6262882447
-5.8529365549 -5.2919807295
-4.2871937712 -0.2626979830

correct output
16.17508604096948732209

user output
16.175086040969

Test 10

Verdict: ACCEPTED

input
4
-0.3725599416 3.7535021503
7.1314057588 -0.3452105339
2.1019197385 -1.2159625143
-4.8936470874 0.0075031628

correct output
5.87134885646126597177

user output
5.871348856461

Test 11

Verdict: ACCEPTED

input
5
1.8568923303 6.8853148851
7.1589123998 6.9450347477
2.4712739299 -2.3123658325
-4.0493078929 -8.8657404813
...

correct output
9.21817744094991402444

user output
9.218177440950

Test 12

Verdict: ACCEPTED

input
5
9.9436961646 8.6511472274
-7.4375110446 9.9808103093
-5.2782204740 -2.0683854767
-2.2417851948 3.3949208089
...

correct output
11.50777035927174466248

user output
11.507770359272

Test 13

Verdict: ACCEPTED

input
5
-6.2983583685 8.6308172719
8.9546122195 -0.3050180737
-3.5892712724 -6.9114664880
3.9772537872 -7.6009891200
...

correct output
9.71303212730634494936

user output
9.713032127306

Test 14

Verdict: ACCEPTED

input
5
-8.5855023910 6.7989808494
-7.5734284134 1.3862265158
-1.2587611941 -9.6250397903
-9.1873852484 -5.0422339644
...

correct output
9.15779387365360776282

user output
9.157793873654

Test 15

Verdict: ACCEPTED

input
5
8.0124290984 -6.5460934977
7.1124189020 2.1807119656
1.9511241172 -7.1707165417
-5.5098814611 3.9684047876
...

correct output
12.74826702270330998704

user output
12.748267022703

Test 16

Verdict: ACCEPTED

input
5
-8.8963975840 6.6265568038
-2.7252620915 9.5888999566
-8.2035793155 -2.0652678674
-2.9172391409 -0.2672400301
...

correct output
13.00048104392330636930

user output
13.000481043923

Test 17

Verdict: ACCEPTED

input
5
8.9495215281 -5.8118726856
-8.7149078500 -2.5978119204
9.7005763562 -8.0105662272
2.1694723402 0.6079293528
...

correct output
11.34665189540580491293

user output
11.346651895406

Test 18

Verdict: ACCEPTED

input
5
-5.4532185007 -3.6205554438
9.5644579243 -0.8883018432
-3.8397446555 -4.7225831843
-8.2651312952 -1.6125557848
...

correct output
13.94182054837260448070

user output
13.941820548373

Test 19

Verdict: ACCEPTED

input
5
-9.7777112346 -5.2112085653
-2.4496604741 6.3292256907
-1.5529838240 2.2406666587
5.3212585879 -1.9614977231
...

correct output
11.09849473274371704085

user output
11.098494732744

Test 20

Verdict: ACCEPTED

input
5
-2.7107794769 -0.0173926842
-9.8491379968 -3.6755137605
-9.7335597820 7.5444241810
-7.2494636084 -7.2277343960
...

correct output
10.31990879400218362374

user output
10.319908794002

Test 21

Verdict: ACCEPTED

input
10
1.8568923303 6.8853148851
7.1589123998 6.9450347477
2.4712739299 -2.3123658325
-4.0493078929 -8.8657404813
...

correct output
8.43373300459665028398

user output
8.433733004597

Test 22

Verdict: ACCEPTED

input
10
9.9436961646 8.6511472274
-7.4375110446 9.9808103093
-5.2782204740 -2.0683854767
-2.2417851948 3.3949208089
...

correct output
8.30203528819313353593

user output
8.302035288193

Test 23

Verdict: ACCEPTED

input
10
-6.2983583685 8.6308172719
8.9546122195 -0.3050180737
-3.5892712724 -6.9114664880
3.9772537872 -7.6009891200
...

correct output
8.46970179011128996346

user output
8.469701790111

Test 24

Verdict: ACCEPTED

input
10
-8.5855023910 6.7989808494
-7.5734284134 1.3862265158
-1.2587611941 -9.6250397903
-9.1873852484 -5.0422339644
...

correct output
8.03457104643789539987

user output
8.034571046438

Test 25

Verdict: ACCEPTED

input
10
8.0124290984 -6.5460934977
7.1124189020 2.1807119656
1.9511241172 -7.1707165417
-5.5098814611 3.9684047876
...

correct output
8.40104919081107975529

user output
8.401049190811

Test 26

Verdict: ACCEPTED

input
10
-8.8963975840 6.6265568038
-2.7252620915 9.5888999566
-8.2035793155 -2.0652678674
-2.9172391409 -0.2672400301
...

correct output
6.83090893175365792417

user output
6.830908931754

Test 27

Verdict: ACCEPTED

input
10
8.9495215281 -5.8118726856
-8.7149078500 -2.5978119204
9.7005763562 -8.0105662272
2.1694723402 0.6079293528
...

correct output
10.24111977550903899992

user output
10.241119775509

Test 28

Verdict: ACCEPTED

input
10
-5.4532185007 -3.6205554438
9.5644579243 -0.8883018432
-3.8397446555 -4.7225831843
-8.2651312952 -1.6125557848
...

correct output
7.75719199582075191442

user output
7.757191995821

Test 29

Verdict: ACCEPTED

input
10
-9.7777112346 -5.2112085653
-2.4496604741 6.3292256907
-1.5529838240 2.2406666587
5.3212585879 -1.9614977231
...

correct output
8.05688489611421130090

user output
8.056884896114

Test 30

Verdict: ACCEPTED

input
10
-2.7107794769 -0.0173926842
-9.8491379968 -3.6755137605
-9.7335597820 7.5444241810
-7.2494636084 -7.2277343960
...

correct output
9.50770899513712303228

user output
9.507708995137

Test 31

Verdict: ACCEPTED

input
100
18.5689233033 68.8531488513
71.5891239980 69.4503474769
24.7127392992 -23.1236583252
-40.4930789286 -88.6574048134
...

correct output
45.82615853745645677006

user output
45.826158537456

Test 32

Verdict: ACCEPTED

input
100
99.4369616461 86.5114722736
-74.3751104455 99.8081030931
-52.7822047404 -20.6838547675
-22.4178519479 33.9492080894
...

correct output
35.50700204049589586708

user output
35.507002040496

Test 33

Verdict: ACCEPTED

input
100
-62.9835836852 86.3081727189
89.5461221947 -3.0501807371
-35.8927127244 -69.1146648801
39.7725378724 -76.0098911999
...

correct output
31.22345190290398834337

user output
31.223451902904

Test 34

Verdict: ACCEPTED

input
100
-85.8550239098 67.9898084937
-75.7342841341 13.8622651580
-12.5876119410 -96.2503979031
-91.8738524837 -50.4223396439
...

correct output
28.89162360331196992801

user output
28.891623603312

Test 35

Verdict: ACCEPTED

input
100
80.1242909845 -65.4609349767
71.1241890198 21.8071196561
19.5112411723 -71.7071654174
-55.0988146115 39.6840478762
...

correct output
30.00479071642544109597

user output
30.004790716425

Test 36

Verdict: ACCEPTED

input
100
-88.9639758402 66.2655680380
-27.2526209146 95.8889995664
-82.0357931550 -20.6526786735
-29.1723914088 -2.6724003014
...

correct output
38.79483709927152193866

user output
38.794837099272

Test 37

Verdict: ACCEPTED

input
100
89.4952152806 -58.1187268564
-87.1490785004 -25.9781192037
97.0057635618 -80.1056622716
21.6947234017 6.0792935276
...

correct output
34.76745343632208916709

user output
34.767453436322

Test 38

Verdict: ACCEPTED

input
100
-54.5321850071 -36.2055544378
95.6445792428 -8.8830184320
-38.3974465552 -47.2258318431
-82.6513129519 -16.1255578477
...

correct output
47.33751163277151602013

user output
47.337511632772

Test 39

Verdict: ACCEPTED

input
100
-97.7771123464 -52.1120856531
-24.4966047411 63.2922569071
-15.5298382401 22.4066665867
53.2125858790 -19.6149772311
...

correct output
27.44794402724227265142

user output
27.447944027242

Test 40

Verdict: ACCEPTED

input
100
-27.1077947686 -0.1739268423
-98.4913799681 -36.7551376049
-97.3355978196 75.4442418096
-72.4946360840 -72.2773439601
...

correct output
28.86385308540476819956

user output
28.863853085405

Test 41

Verdict: ACCEPTED

input
200
18568.9233033365 68853.1488513...

correct output
26027.91880492172062666612

user output
26027.918804921723

Test 42

Verdict: ACCEPTED

input
200
99436.9616460531 86511.4722736...

correct output
24738.66365623138931617575

user output
24738.663656231380

Test 43

Verdict: ACCEPTED

input
200
-62983.5836851972 86308.172718...

correct output
23114.05959792925350093640

user output
23114.059597929263

Test 44

Verdict: ACCEPTED

input
200
-85855.0239097887 67989.808493...

correct output
24449.05462058239773170953

user output
24449.054620582407

Test 45

Verdict: ACCEPTED

input
200
80124.2909844513 -65460.934976...

correct output
24090.54761531628931514604

user output
24090.547615316300

Test 46

Verdict: ACCEPTED

input
200
-88963.9758401554 66265.568038...

correct output
23439.53146829533727313333

user output
23439.531468295347

Test 47

Verdict: ACCEPTED

input
200
89495.2152805803 -58118.726856...

correct output
29128.03468783543361553257

user output
29128.034687835436

Test 48

Verdict: ACCEPTED

input
200
-54532.1850070586 -36205.55443...

correct output
24978.72415831473490044345

user output
24978.724158314737

Test 49

Verdict: ACCEPTED

input
200
-97777.1123464485 -52112.08565...

correct output
21209.18600929237329211219

user output
21209.186009292363

Test 50

Verdict: ACCEPTED

input
200
-27107.7947686252 -173.9268423...

correct output
23203.29193911443391939997

user output
23203.291939114435

Test 51

Verdict: ACCEPTED

input
500
18568.9233033365 68853.1488513...

correct output
16841.08154772710746982511

user output
16841.081547727114

Test 52

Verdict: ACCEPTED

input
500
99436.9616460531 86511.4722736...

correct output
13884.23860887098339489398

user output
13884.238608870983

Test 53

Verdict: ACCEPTED

input
500
-62983.5836851972 86308.172718...

correct output
16913.31415478189355283689

user output
16913.314154781892

Test 54

Verdict: ACCEPTED

input
500
-85855.0239097887 67989.808493...

correct output
16129.83510192776483815891

user output
16129.835101927774

Test 55

Verdict: ACCEPTED

input
500
80124.2909844513 -65460.934976...

correct output
13611.19288194623884713508

user output
13611.192881946246

Test 56

Verdict: ACCEPTED

input
500
-88963.9758401554 66265.568038...

correct output
14129.83398978742408491627

user output
14129.833989787425

Test 57

Verdict: ACCEPTED

input
500
89495.2152805803 -58118.726856...

correct output
14531.53671287865778083415

user output
14531.536712878667

Test 58

Verdict: ACCEPTED

input
500
-54532.1850070586 -36205.55443...

correct output
14387.11286249742570308996

user output
14387.112862497432

Test 59

Verdict: ACCEPTED

input
500
-97777.1123464485 -52112.08565...

correct output
15400.66824492762415577118

user output
15400.668244927621

Test 60

Verdict: ACCEPTED

input
500
-27107.7947686252 -173.9268423...

correct output
16119.06959734976690334918

user output
16119.069597349770

Test 61

Verdict: ACCEPTED

input
1000
18568.9233033365 68853.1488513...

correct output
11324.85732396049615111622

user output
11324.857323960494

Test 62

Verdict: ACCEPTED

input
1000
99436.9616460531 86511.4722736...

correct output
10665.82033665705907843346

user output
10665.820336657061

Test 63

Verdict: ACCEPTED

input
1000
-62983.5836851972 86308.172718...

correct output
12182.40552864239620589615

user output
12182.405528642392

Test 64

Verdict: ACCEPTED

input
1000
-85855.0239097887 67989.808493...

correct output
10851.63808946087635654010

user output
10851.638089460872

Test 65

Verdict: ACCEPTED

input
1000
80124.2909844513 -65460.934976...

correct output
11745.88161026176816204014

user output
11745.881610261771