CSES - Aalto Competitive Programming 2024 - wk3 - Wed - Results
Submission details
Task:Wario kart II
Sender:aalto2024c_010
Submission time:2024-09-18 17:44:06 +0300
Language:C++ (C++17)
Status:READY
Result:ACCEPTED
Test results
testverdicttime
#1ACCEPTED0.00 sdetails
#2ACCEPTED0.00 sdetails
#3ACCEPTED0.00 sdetails
#4ACCEPTED0.00 sdetails
#5ACCEPTED0.00 sdetails
#6ACCEPTED0.00 sdetails
#7ACCEPTED0.00 sdetails
#8ACCEPTED0.00 sdetails
#9ACCEPTED0.00 sdetails
#10ACCEPTED0.00 sdetails
#11ACCEPTED0.00 sdetails
#12ACCEPTED0.00 sdetails
#13ACCEPTED0.00 sdetails
#14ACCEPTED0.00 sdetails
#15ACCEPTED0.00 sdetails
#16ACCEPTED0.00 sdetails
#17ACCEPTED0.00 sdetails
#18ACCEPTED0.00 sdetails
#19ACCEPTED0.00 sdetails
#20ACCEPTED0.00 sdetails
#21ACCEPTED0.00 sdetails
#22ACCEPTED0.00 sdetails
#23ACCEPTED0.00 sdetails
#24ACCEPTED0.00 sdetails
#25ACCEPTED0.00 sdetails
#26ACCEPTED0.00 sdetails
#27ACCEPTED0.00 sdetails
#28ACCEPTED0.00 sdetails
#29ACCEPTED0.00 sdetails
#30ACCEPTED0.00 sdetails
#31ACCEPTED0.00 sdetails
#32ACCEPTED0.00 sdetails
#33ACCEPTED0.00 sdetails
#34ACCEPTED0.00 sdetails
#35ACCEPTED0.00 sdetails
#36ACCEPTED0.00 sdetails
#37ACCEPTED0.00 sdetails
#38ACCEPTED0.00 sdetails
#39ACCEPTED0.00 sdetails
#40ACCEPTED0.00 sdetails
#41ACCEPTED0.00 sdetails
#42ACCEPTED0.00 sdetails
#43ACCEPTED0.00 sdetails
#44ACCEPTED0.00 sdetails
#45ACCEPTED0.00 sdetails
#46ACCEPTED0.00 sdetails
#47ACCEPTED0.00 sdetails
#48ACCEPTED0.00 sdetails
#49ACCEPTED0.00 sdetails
#50ACCEPTED0.02 sdetails
#51ACCEPTED0.01 sdetails
#52ACCEPTED0.01 sdetails
#53ACCEPTED0.01 sdetails
#54ACCEPTED0.01 sdetails
#55ACCEPTED0.01 sdetails
#56ACCEPTED0.01 sdetails
#57ACCEPTED0.01 sdetails
#58ACCEPTED0.01 sdetails
#59ACCEPTED0.01 sdetails

Code

// ~/.vim/cpp_template.cpp
#include <bits/stdc++.h>
#include <iostream>
#include <vector>
#include <algorithm>
#include <string>

#define REP(i,a,b) for (int i = a; i < b; i++)

using namespace std;

template <typename T>
void pV(const std::vector<T>& vec, const std::string& label = "Vector") {
    std::cout << label << ": [ ";
    for (const auto& elem : vec) {
        std::cout << elem << " ";
    }
    std::cout << "]" << std::endl;
}


using namespace std;


void dfs(int s, vector<bool> *visited, vector<int> (*adj)[]) {
    if ((*visited)[s]) return;
    (*visited)[s] = true;
    // process node s


    for (auto u: (*adj)[s]) {
        dfs(u, visited, adj);
    }
}
/*
vector<int> adj[N];                                                          
vector<bool> visited(N, false);
int u, v;
for(int i = 0; i < M;i++){
    cin >> u >> v;
    u--;
    v--;
    adj[u].push_back(v);
    adj[v].push_back(u);
}
*/

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    // Your code starts here
    int n, k;

    cin>>n>>k;

    vector<int> val(n,0);
    REP(i, 0, n){
        cin >> val[i];
    }

    vector<double> dp(n+1, 1e9);
    dp[0] = 0;
    REP(i, 0, (int)dp.size()-1){
        if(dp[i] == 1e9) continue;

        dp[i+1] = min(dp[i + 1], dp[i] + 1);

        int dex = min(i+val[i] + k, n);

        if(dex < n){
            dp[dex] = min(dp[dex], dp[i] + 1 + k);
        }else{
            if(i + val[i] < n){
                dp[n] = min(dp[n], dp[i] + 1 + n - (i + val[i]));
            }else{
                dp[n] = min(dp[n], dp[i] + 1.0 * (n-i) / val[i]);
            }
        }
    }
    double res = dp[n];
    cout << setprecision(20) << res << '\n';

    
    
    return 0;
}


Test details

Test 1

Verdict: ACCEPTED

input
1 5

correct output
0.33333333333333333334

user output
0.33333333333333331483

Test 2

Verdict: ACCEPTED

input
2 5
3 4 

correct output
0.66666666666666666668

user output
0.66666666666666662966

Test 3

Verdict: ACCEPTED

input
2 5
2 2 

correct output
1.00000000000000000000

user output
1

Test 4

Verdict: ACCEPTED

input
3 5
2 2 2 

correct output
2.00000000000000000000

user output
2

Test 5

Verdict: ACCEPTED

input
3 5
3 4 3 

correct output
1.00000000000000000000

user output
1

Test 6

Verdict: ACCEPTED

input
3 5
2 2 2 

correct output
2.00000000000000000000

user output
2

Test 7

Verdict: ACCEPTED

input
4 5
3 4 3 4 

correct output
1.75000000000000000000

user output
1.75

Test 8

Verdict: ACCEPTED

input
4 5
2 2 2 4 

correct output
3.00000000000000000000

user output
3

Test 9

Verdict: ACCEPTED

input
4 3
2 2 2 2 

correct output
3.00000000000000000000

user output
3

Test 10

Verdict: ACCEPTED

input
5 5
3 4 3 4 3 

correct output
2.00000000000000000000

user output
2

Test 11

Verdict: ACCEPTED

input
5 5
2 2 2 4 2 

correct output
3.50000000000000000000

user output
3.5

Test 12

Verdict: ACCEPTED

input
5 5
2 2 2 2 2 

correct output
4.00000000000000000000

user output
4

Test 13

Verdict: ACCEPTED

input
5 5
2 2 3 3 4 

correct output
3.00000000000000000000

user output
3

Test 14

Verdict: ACCEPTED

input
5 1
4 4 4 3 4 

correct output
2.00000000000000000000

user output
2

Test 15

Verdict: ACCEPTED

input
5 4
2 3 5 5 3 

correct output
2.59999999999999999991

user output
2.6000000000000000888

Test 16

Verdict: ACCEPTED

input
5 1
3 2 2 2 2 

correct output
2.50000000000000000000

user output
2.5

Test 17

Verdict: ACCEPTED

input
5 1
3 5 4 3 5 

correct output
1.79999999999999999996

user output
1.8000000000000000444

Test 18

Verdict: ACCEPTED

input
5 1
5 3 4 5 2 

correct output
1.00000000000000000000

user output
1

Test 19

Verdict: ACCEPTED

input
5 2
3 2 2 2 2 

correct output
3.00000000000000000000

user output
3

Test 20

Verdict: ACCEPTED

input
10 5
3 4 3 4 3 3 3 3 3 2 

correct output
6.66666666666666666652

user output
6.6666666666666669627

Test 21

Verdict: ACCEPTED

input
10 5
2 2 2 4 2 2 2 3 2 3 

correct output
7.00000000000000000000

user output
7

Test 22

Verdict: ACCEPTED

input
10 5
2 2 2 2 2 2 2 2 2 2 

correct output
8.00000000000000000000

user output
8

Test 23

Verdict: ACCEPTED

input
10 5
2 2 3 3 4 3 4 2 2 2 

correct output
7.00000000000000000000

user output
7

Test 24

Verdict: ACCEPTED

input
10 1
4 4 4 3 4 3 2 2 4 2 

correct output
4.50000000000000000000

user output
4.5

Test 25

Verdict: ACCEPTED

input
10 4
2 3 5 5 3 2 4 3 5 3 

correct output
6.00000000000000000000

user output
6

Test 26

Verdict: ACCEPTED

input
10 1
3 2 2 2 2 3 3 2 3 3 

correct output
5.33333333333333333348

user output
5.3333333333333330373

Test 27

Verdict: ACCEPTED

input
10 1
3 5 4 3 5 3 4 3 4 2 

correct output
4.00000000000000000000

user output
4

Test 28

Verdict: ACCEPTED

input
10 1
5 3 4 5 2 3 2 4 3 5 

correct output
3.75000000000000000000

user output
3.75

Test 29

Verdict: ACCEPTED

input
10 2
3 2 2 2 2 2 2 4 3 2 

correct output
5.75000000000000000000

user output
5.75

Test 30

Verdict: ACCEPTED

input
100 72
51 37 52 34 51 26 38 40 24 27 ...

correct output
42.00000000000000000000

user output
42

Test 31

Verdict: ACCEPTED

input
100 72
94 2 14 31 100 16 25 11 41 20 ...

correct output
4.96000000000000000003

user output
4.9599999999999999645

Test 32

Verdict: ACCEPTED

input
100 2
19 12 20 10 11 9 8 8 4 5 15 13...

correct output
18.70588235294117647120

user output
18.705882352941177516

Test 33

Verdict: ACCEPTED

input
100 71
8 4 2 6 6 9 5 9 2 3 2 3 3 2 2 ...

correct output
85.00000000000000000000

user output
85

Test 34

Verdict: ACCEPTED

input
100 55
17 89 79 66 56 64 55 21 14 89 ...

correct output
12.00000000000000000000

user output
12

Test 35

Verdict: ACCEPTED

input
100 87
6 3 4 7 7 4 2 5 4 6 4 5 4 3 7 ...

correct output
90.00000000000000000000

user output
90

Test 36

Verdict: ACCEPTED

input
100 33
21 79 8 5 36 12 94 57 11 51 59...

correct output
7.00000000000000000000

user output
7

Test 37

Verdict: ACCEPTED

input
100 78
9 12 24 18 12 24 9 14 8 13 3 3...

correct output
77.00000000000000000000

user output
77

Test 38

Verdict: ACCEPTED

input
100 97
2 3 2 3 3 2 2 2 3 2 3 2 2 3 3 ...

correct output
98.00000000000000000000

user output
98

Test 39

Verdict: ACCEPTED

input
100 50
20 20 2 6 13 7 2 10 34 17 7 11...

correct output
52.96666666666666666713

user output
52.966666666666668561

Test 40

Verdict: ACCEPTED

input
200 72
51 37 52 34 51 26 38 40 24 27 ...

correct output
89.00000000000000000000

user output
89

Test 41

Verdict: ACCEPTED

input
200 72
94 2 14 31 100 16 25 11 41 20 ...

correct output
73.91891891891891892136

user output
73.918918918918919303

Test 42

Verdict: ACCEPTED

input
200 2
19 12 20 10 11 9 8 8 4 5 15 13...

correct output
36.90000000000000000139

user output
36.899999999999998579

Test 43

Verdict: ACCEPTED

input
200 71
8 4 2 6 6 9 5 9 2 3 2 3 3 2 2 ...

correct output
177.00000000000000000000

user output
177

Test 44

Verdict: ACCEPTED

input
200 55
17 89 79 66 56 64 55 21 14 89 ...

correct output
58.62790697674418604821

user output
58.627906976744185386

Test 45

Verdict: ACCEPTED

input
200 87
6 3 4 7 7 4 2 5 4 6 4 5 4 3 7 ...

correct output
184.00000000000000000000

user output
184

Test 46

Verdict: ACCEPTED

input
200 33
21 79 8 5 36 12 94 57 11 51 59...

correct output
39.97647058823529411797

user output
39.976470588235294201

Test 47

Verdict: ACCEPTED

input
1000 78
9 12 24 18 12 24 9 14 8 13 3 3...

correct output
778.00000000000000000000

user output
778

Test 48

Verdict: ACCEPTED

input
1000 97
2 3 2 3 3 2 2 2 3 2 3 2 2 3 3 ...

correct output
980.00000000000000000000

user output
980

Test 49

Verdict: ACCEPTED

input
10000 50
20 20 2 6 13 7 2 10 34 17 7 11...

correct output
6049.00000000000000000000

user output
6049

Test 50

Verdict: ACCEPTED

input
100000 59
39252 46336 33082 47087 29905 ...

correct output
64.97006295772838237179

user output
64.970062957728387687

Test 51

Verdict: ACCEPTED

input
100000 100
30041 38891 6 5345 12609 41664...

correct output
203.77740406665647454609

user output
203.7774040666564872

Test 52

Verdict: ACCEPTED

input
100000 18
1132 40617 23967 41323 18982 2...

correct output
40.94677609727978918885

user output
40.946776097279787621

Test 53

Verdict: ACCEPTED

input
100000 7
39007 46266 16025 6684 28138 3...

correct output
14.93255621844882973827

user output
14.932556218448830521

Test 54

Verdict: ACCEPTED

input
100000 90
52921 16702 94063 82743 69126 ...

correct output
91.66979787325027796002

user output
91.669797873250274733

Test 55

Verdict: ACCEPTED

input
100000 5
19332 18457 4591 8077 20395 21...

correct output
35.88927530302255408320

user output
35.889275303022550645

Test 56

Verdict: ACCEPTED

input
100000 95
29643 18699 73326 5739 3724 33...

correct output
96.91999685748703713406

user output
96.919996857487035413

Test 57

Verdict: ACCEPTED

input
100000 22
5953 2436 3347 7466 5522 3478 ...

correct output
330.93907248742010063225

user output
330.93907248742010552

Test 58

Verdict: ACCEPTED

input
100000 1
84598 20915 75920 32975 46369 ...

correct output
2.81955087271179225200

user output
2.8195508727117921666

Test 59

Verdict: ACCEPTED

input
100000 36
522 520 516 9 140 330 149 15 2...

correct output
3870.97771317829457360382

user output
3870.9777131782943798