Wario Kart II

import sys
def main():
    data = sys.stdin.read().split()
    
    n = int(data[0])
    k = int(data[1])
    a = [int(x) for x in data[2:2+n]]
    #coz there's recurrence in tbis
    dyn_prog = [0.0] * (n + 1)
    dyn_prog[n] = 0.0
    
    for i in range(n - 1, -1, -1):
        timing = 1.0 + dyn_prog[i + 1]
        xspeed = a[i]
        #100i+100a_i = can do (i+a_i)
        if i + xspeed >= n:
            #we reach within tht boost's 1s
            finish_time = (n - i) / xspeed
            timing = min(timing, finish_time)
        else:
            #boost 1s to pad i+a_i, then (100m/s) for k pads(stagnant)
            pad_next = min(n, i + xspeed + k)
            k_stagnant = pad_next - (i + xspeed)
            booster_time = 1.0 + k_stagnant + dyn_prog[pad_next]
            timing = min(timing, booster_time)
            
        dyn_prog[i] = timing

    print(f"{dyn_prog[0]:.6f}")

main()

Test 1

Verdict: ACCEPTED

Test 2

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Test 3

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Test 4

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Test 5

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Test 6

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Test 7

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Test 8

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Test 9

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Test 10

Verdict: ACCEPTED

Test 11

Verdict: ACCEPTED

Test 12

Verdict: ACCEPTED

Test 13

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Test 14

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Test 15

Verdict: ACCEPTED

Test 16

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Test 17

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Test 18

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Test 19

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Test 20

Verdict: ACCEPTED

Test 21

Verdict: ACCEPTED

Test 22

Verdict: ACCEPTED

Test 23

Verdict: ACCEPTED

Test 24

Verdict: ACCEPTED

Test 25

Verdict: ACCEPTED

Test 26

Verdict: ACCEPTED

Test 27

Verdict: ACCEPTED

Test 28

Verdict: ACCEPTED

Test 29

Verdict: ACCEPTED

Test 30

Verdict: ACCEPTED

Test 31

Verdict: ACCEPTED

Test 32

Verdict: ACCEPTED

Test 33

Verdict: ACCEPTED

Test 34

Verdict: ACCEPTED

Test 35

Verdict: ACCEPTED

Test 36

Verdict: ACCEPTED

Test 37

Verdict: ACCEPTED

Test 38

Verdict: ACCEPTED

Test 39

Verdict: ACCEPTED

Test 40

Verdict: ACCEPTED

Test 41

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Test 42

Verdict: ACCEPTED

Test 43

Verdict: ACCEPTED

Test 44

Verdict: ACCEPTED

Test 45

Verdict: ACCEPTED

Test 46

Verdict: ACCEPTED

Test 47

Verdict: ACCEPTED

Test 48

Verdict: ACCEPTED

Test 49

Verdict: ACCEPTED

Test 50

Verdict: ACCEPTED

Test 51

Verdict: ACCEPTED

Test 52

Verdict: ACCEPTED

Test 53

Verdict: ACCEPTED

Test 54

Verdict: ACCEPTED

Test 55

Verdict: ACCEPTED

Test 56

Verdict: ACCEPTED

Test 57

Verdict: ACCEPTED

Test 58

Verdict: ACCEPTED

Test 59

Verdict: ACCEPTED