CSES - Aalto Competitive Programming 2024 - wk3 - Wed - Results
Submission details
Task:Wario kart II
Sender:aalto2024c_004
Submission time:2024-09-18 16:55:23 +0300
Language:C++11
Status:READY
Result:ACCEPTED
Test results
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Code

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

const int N = 1e5+1;
int n, k, K[N];
double R[N];

int main() {
	cin >> n >> k;
	for (int i = 0; i < n; ++i) {
		cin >> K[i];
		K[i] = max(K[i],1);
	}
	R[n] = 0;
	for (int i = n-1; i >= 0; --i) {
		double b;
		if (i + K[i] >= n) {
			b = double(n - i) / K[i];
		} else if (i + K[i] + k >= n) {
			b = 1 + (n - i + K[k]);
		} else {
			b = k + 1 + R[i + K[i] + k];
		}
		R[i] = min(R[i+1] + 1, b);
	}
	printf("%.10f\n", R[0]);
}

Test details

Test 1

Verdict: ACCEPTED

input
1 5

correct output
0.33333333333333333334

user output
0.3333333333

Test 2

Verdict: ACCEPTED

input
2 5
3 4 

correct output
0.66666666666666666668

user output
0.6666666667

Test 3

Verdict: ACCEPTED

input
2 5
2 2 

correct output
1.00000000000000000000

user output
1.0000000000

Test 4

Verdict: ACCEPTED

input
3 5
2 2 2 

correct output
2.00000000000000000000

user output
2.0000000000

Test 5

Verdict: ACCEPTED

input
3 5
3 4 3 

correct output
1.00000000000000000000

user output
1.0000000000

Test 6

Verdict: ACCEPTED

input
3 5
2 2 2 

correct output
2.00000000000000000000

user output
2.0000000000

Test 7

Verdict: ACCEPTED

input
4 5
3 4 3 4 

correct output
1.75000000000000000000

user output
1.7500000000

Test 8

Verdict: ACCEPTED

input
4 5
2 2 2 4 

correct output
3.00000000000000000000

user output
3.0000000000

Test 9

Verdict: ACCEPTED

input
4 3
2 2 2 2 

correct output
3.00000000000000000000

user output
3.0000000000

Test 10

Verdict: ACCEPTED

input
5 5
3 4 3 4 3 

correct output
2.00000000000000000000

user output
2.0000000000

Test 11

Verdict: ACCEPTED

input
5 5
2 2 2 4 2 

correct output
3.50000000000000000000

user output
3.5000000000

Test 12

Verdict: ACCEPTED

input
5 5
2 2 2 2 2 

correct output
4.00000000000000000000

user output
4.0000000000

Test 13

Verdict: ACCEPTED

input
5 5
2 2 3 3 4 

correct output
3.00000000000000000000

user output
3.0000000000

Test 14

Verdict: ACCEPTED

input
5 1
4 4 4 3 4 

correct output
2.00000000000000000000

user output
2.0000000000

Test 15

Verdict: ACCEPTED

input
5 4
2 3 5 5 3 

correct output
2.59999999999999999991

user output
2.6000000000

Test 16

Verdict: ACCEPTED

input
5 1
3 2 2 2 2 

correct output
2.50000000000000000000

user output
2.5000000000

Test 17

Verdict: ACCEPTED

input
5 1
3 5 4 3 5 

correct output
1.79999999999999999996

user output
1.8000000000

Test 18

Verdict: ACCEPTED

input
5 1
5 3 4 5 2 

correct output
1.00000000000000000000

user output
1.0000000000

Test 19

Verdict: ACCEPTED

input
5 2
3 2 2 2 2 

correct output
3.00000000000000000000

user output
4.0000000000

Test 20

Verdict: ACCEPTED

input
10 5
3 4 3 4 3 3 3 3 3 2 

correct output
6.66666666666666666652

user output
6.6666666667

Test 21

Verdict: ACCEPTED

input
10 5
2 2 2 4 2 2 2 3 2 3 

correct output
7.00000000000000000000

user output
7.0000000000

Test 22

Verdict: ACCEPTED

input
10 5
2 2 2 2 2 2 2 2 2 2 

correct output
8.00000000000000000000

user output
8.0000000000

Test 23

Verdict: ACCEPTED

input
10 5
2 2 3 3 4 3 4 2 2 2 

correct output
7.00000000000000000000

user output
7.0000000000

Test 24

Verdict: ACCEPTED

input
10 1
4 4 4 3 4 3 2 2 4 2 

correct output
4.50000000000000000000

user output
4.5000000000

Test 25

Verdict: ACCEPTED

input
10 4
2 3 5 5 3 2 4 3 5 3 

correct output
6.00000000000000000000

user output
6.0000000000

Test 26

Verdict: ACCEPTED

input
10 1
3 2 2 2 2 3 3 2 3 3 

correct output
5.33333333333333333348

user output
5.3333333333

Test 27

Verdict: ACCEPTED

input
10 1
3 5 4 3 5 3 4 3 4 2 

correct output
4.00000000000000000000

user output
4.0000000000

Test 28

Verdict: ACCEPTED

input
10 1
5 3 4 5 2 3 2 4 3 5 

correct output
3.75000000000000000000

user output
3.7500000000

Test 29

Verdict: ACCEPTED

input
10 2
3 2 2 2 2 2 2 4 3 2 

correct output
5.75000000000000000000

user output
5.7500000000

Test 30

Verdict: ACCEPTED

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

correct output
42.00000000000000000000

user output
51.8596491228

Test 31

Verdict: ACCEPTED

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

correct output
4.96000000000000000003

user output
4.9600000000

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
18.7058823529

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
85.0000000000

Test 34

Verdict: ACCEPTED

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

correct output
12.00000000000000000000

user output
22.0000000000

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
91.0000000000

Test 36

Verdict: ACCEPTED

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

correct output
7.00000000000000000000

user output
7.0000000000

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
79.7222222222

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
98.3333333333

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
52.9666666667

Test 40

Verdict: ACCEPTED

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

correct output
89.00000000000000000000

user output
89.0000000000

Test 41

Verdict: ACCEPTED

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

correct output
73.91891891891891892136

user output
73.9189189189

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
36.9000000000

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
177.8888888889

Test 44

Verdict: ACCEPTED

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

correct output
58.62790697674418604821

user output
58.6279069767

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
185.4285714286

Test 46

Verdict: ACCEPTED

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

correct output
39.97647058823529411797

user output
39.9764705882

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
780.0000000000

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
981.0000000000

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
6049.9729729730

Test 50

Verdict: ACCEPTED

input
100000 59
39252 46336 33082 47087 29905 ...

correct output
64.97006295772838237179

user output
64.9700629577

Test 51

Verdict: ACCEPTED

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

correct output
203.77740406665647454609

user output
203.7774040667

Test 52

Verdict: ACCEPTED

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

correct output
40.94677609727978918885

user output
40.9467760973

Test 53

Verdict: ACCEPTED

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

correct output
14.93255621844882973827

user output
14.9325562184

Test 54

Verdict: ACCEPTED

input
100000 90
52921 16702 94063 82743 69126 ...

correct output
91.66979787325027796002

user output
91.6697978733

Test 55

Verdict: ACCEPTED

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

correct output
35.88927530302255408320

user output
35.8892753030

Test 56

Verdict: ACCEPTED

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

correct output
96.91999685748703713406

user output
96.9199968575

Test 57

Verdict: ACCEPTED

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

correct output
330.93907248742010063225

user output
330.9390724874

Test 58

Verdict: ACCEPTED

input
100000 1
84598 20915 75920 32975 46369 ...

correct output
2.81955087271179225200

user output
2.8195508727

Test 59

Verdict: ACCEPTED

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

correct output
3870.97771317829457360382

user output
3870.9777131783