CSES - Aalto Competitive Programming 2024 - wk11 - Mon - Results
Submission details
Task:Fibonacci towers
Sender:esya_rae
Submission time:2024-11-18 17:15:34 +0200
Language:Python3 (PyPy3)
Status:READY
Result:ACCEPTED
Test results
testverdicttime
#1ACCEPTED0.04 sdetails
#2ACCEPTED0.04 sdetails
#3ACCEPTED0.04 sdetails
#4ACCEPTED0.04 sdetails
#5ACCEPTED0.04 sdetails
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#35ACCEPTED0.07 sdetails
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#62ACCEPTED0.11 sdetails
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#65ACCEPTED0.09 sdetails
#66ACCEPTED0.07 sdetails
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#70ACCEPTED0.14 sdetails
#71ACCEPTED0.41 sdetails
#72ACCEPTED0.39 sdetails
#73ACCEPTED0.99 sdetails
#74ACCEPTED0.34 sdetails
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#76ACCEPTED0.17 sdetails
#77ACCEPTED0.15 sdetails
#78ACCEPTED0.21 sdetails
#79ACCEPTED0.25 sdetails
#80ACCEPTED0.44 sdetails

Code

import sys
import math
#import numpy as np

sys.setrecursionlimit(10**6)
input = sys.stdin.readline

mod = 998244353


def fib(a, b):
    fib = []
    for i in range(0, a):
        fib.append(1)
    for i in range(a, b + 1):
        fib.append((fib[-1] + fib[-a]) % mod)
    return fib[b]

def fast_exp(m, n):
    if n == 0:
        return [[int(i == j) for i in range(len(m))] for j in range(len(m))]
    g = [[int(i == j) for i in range(len(m))] for j in range(len(m))]
    while n > 1:
        if n % 2 == 1:
            g = MM(g, m)
            n -= 1
        m = MM(m, m)
        n //= 2
    return MM(g, m)


def MM(x, y):
    c = []
    for i in range(0, len(x)):
        temp = []
        for j in range(0, len(y[0])):
            s = 0
            for k in range(0, len(x[0])):
                s += (x[i][k] * y[k][j]) % mod
            temp.append(s % mod)
        c.append(temp)
    return c


def create_f_m(a):
    m = []
    fr = [0] * a
    fr[0], fr[-1] = 1, 1
    m.append(fr)
    for i in range(a - 1):
        r = [0] * a
        r[i] = 1
        m.append(r)
    return m



a, b = map(int, input().split())
# a = int(input())

if b < a:
    print(1)
else:
    m = create_f_m(a)
    # print(m)
    fb = fast_exp(m, b - a + 1)
    # print(fb)
    print(sum(fb[0]) % mod)
    # print(fib(a, b % mod))

Test details

Test 1

Verdict: ACCEPTED

input
2 10

correct output
89

user output
89

Test 2

Verdict: ACCEPTED

input
2 6

correct output
13

user output
13

Test 3

Verdict: ACCEPTED

input
2 8

correct output
34

user output
34

Test 4

Verdict: ACCEPTED

input
2 68

correct output
977351119

user output
977351119

Test 5

Verdict: ACCEPTED

input
2 78

correct output
20929410

user output
20929410

Test 6

Verdict: ACCEPTED

input
2 76

correct output
878806424

user output
878806424

Test 7

Verdict: ACCEPTED

input
2 485

correct output
908660084

user output
908660084

Test 8

Verdict: ACCEPTED

input
2 519

correct output
838514871

user output
838514871

Test 9

Verdict: ACCEPTED

input
2 602

correct output
892152152

user output
892152152

Test 10

Verdict: ACCEPTED

input
2 165714

correct output
921473843

user output
921473843

Test 11

Verdict: ACCEPTED

input
3 6

correct output
6

user output
6

Test 12

Verdict: ACCEPTED

input
3 8

correct output
13

user output
13

Test 13

Verdict: ACCEPTED

input
2 7

correct output
21

user output
21

Test 14

Verdict: ACCEPTED

input
3 78

correct output
198155624

user output
198155624

Test 15

Verdict: ACCEPTED

input
2 76

correct output
878806424

user output
878806424

Test 16

Verdict: ACCEPTED

input
3 49

correct output
83316385

user output
83316385

Test 17

Verdict: ACCEPTED

input
2 519

correct output
838514871

user output
838514871

Test 18

Verdict: ACCEPTED

input
3 602

correct output
575081686

user output
575081686

Test 19

Verdict: ACCEPTED

input
2 166

correct output
833010588

user output
833010588

Test 20

Verdict: ACCEPTED

input
2 187222

correct output
206734446

user output
206734446

Test 21

Verdict: ACCEPTED

input
2 7

correct output
21

user output
21

Test 22

Verdict: ACCEPTED

input
5 8

correct output
5

user output
5

Test 23

Verdict: ACCEPTED

input
2 8

correct output
34

user output
34

Test 24

Verdict: ACCEPTED

input
5 49

correct output
486716

user output
486716

Test 25

Verdict: ACCEPTED

input
2 52

correct output
409340464

user output
409340464

Test 26

Verdict: ACCEPTED

input
5 61

correct output
14215310

user output
14215310

Test 27

Verdict: ACCEPTED

input
2 166

correct output
833010588

user output
833010588

Test 28

Verdict: ACCEPTED

input
2 188

correct output
914862760

user output
914862760

Test 29

Verdict: ACCEPTED

input
5 611

correct output
386811672

user output
386811672

Test 30

Verdict: ACCEPTED

input
4 672099

correct output
5039638

user output
5039638

Test 31

Verdict: ACCEPTED

input
77 10

correct output
1

user output
1

Test 32

Verdict: ACCEPTED

input
76 1

correct output
1

user output
1

Test 33

Verdict: ACCEPTED

input
80 7

correct output
1

user output
1

Test 34

Verdict: ACCEPTED

input
72 56

correct output
1

user output
1

Test 35

Verdict: ACCEPTED

input
57 97

correct output
42

user output
42

Test 36

Verdict: ACCEPTED

input
54 58

correct output
6

user output
6

Test 37

Verdict: ACCEPTED

input
50 639

correct output
373574336

user output
373574336

Test 38

Verdict: ACCEPTED

input
58 195

correct output
5403

user output
5403

Test 39

Verdict: ACCEPTED

input
61 694

correct output
605984493

user output
605984493

Test 40

Verdict: ACCEPTED

input
9 616206422053543989

correct output
952862778

user output
952862778

Test 41

Verdict: ACCEPTED

input
6 169825965437345849

correct output
513277084

user output
513277084

Test 42

Verdict: ACCEPTED

input
5 191867851255868863

correct output
33742481

user output
33742481

Test 43

Verdict: ACCEPTED

input
9 625431978270398522

correct output
737838270

user output
737838270

Test 44

Verdict: ACCEPTED

input
8 688779226095035965

correct output
162344930

user output
162344930

Test 45

Verdict: ACCEPTED

input
10 802140689263714569

correct output
90271065

user output
90271065

Test 46

Verdict: ACCEPTED

input
6 326105735534681902

correct output
815511427

user output
815511427

Test 47

Verdict: ACCEPTED

input
6 714378023239269070

correct output
974264931

user output
974264931

Test 48

Verdict: ACCEPTED

input
8 389060406667759103

correct output
997632165

user output
997632165

Test 49

Verdict: ACCEPTED

input
5 752611790930241374

correct output
663785595

user output
663785595

Test 50

Verdict: ACCEPTED

input
9 616206422053543989

correct output
952862778

user output
952862778

Test 51

Verdict: ACCEPTED

input
9 616206422053543989

correct output
952862778

user output
952862778

Test 52

Verdict: ACCEPTED

input
10 292432805466778024

correct output
54188787

user output
54188787

Test 53

Verdict: ACCEPTED

input
12 877206118126603157

correct output
50978391

user output
50978391

Test 54

Verdict: ACCEPTED

input
15 106209626593822568

correct output
26611817

user output
26611817

Test 55

Verdict: ACCEPTED

input
20 599479100988098599

correct output
119658586

user output
119658586

Test 56

Verdict: ACCEPTED

input
19 751085324932436268

correct output
362164431

user output
362164431

Test 57

Verdict: ACCEPTED

input
13 653792349017119940

correct output
727329363

user output
727329363

Test 58

Verdict: ACCEPTED

input
14 922927469528725341

correct output
702679243

user output
702679243

Test 59

Verdict: ACCEPTED

input
18 278820978471154000

correct output
447470474

user output
447470474

Test 60

Verdict: ACCEPTED

input
19 595145428494262541

correct output
321383191

user output
321383191

Test 61

Verdict: ACCEPTED

input
16 733419934325111819

correct output
603915854

user output
603915854

Test 62

Verdict: ACCEPTED

input
42 977794035917013551

correct output
535001165

user output
535001165

Test 63

Verdict: ACCEPTED

input
46 107297864267805308

correct output
557129508

user output
557129508

Test 64

Verdict: ACCEPTED

input
47 423649320883482177

correct output
894439428

user output
894439428

Test 65

Verdict: ACCEPTED

input
35 923635615021083310

correct output
306200203

user output
306200203

Test 66

Verdict: ACCEPTED

input
27 119042622192684556

correct output
95698341

user output
95698341

Test 67

Verdict: ACCEPTED

input
50 394425873219136058

correct output
461849248

user output
461849248

Test 68

Verdict: ACCEPTED

input
27 702344952743354850

correct output
361328763

user output
361328763

Test 69

Verdict: ACCEPTED

input
34 148052957467783205

correct output
883611228

user output
883611228

Test 70

Verdict: ACCEPTED

input
49 120057477600708020

correct output
411727310

user output
411727310

Test 71

Verdict: ACCEPTED

input
77 985532091144101696

correct output
533259046

user output
533259046

Test 72

Verdict: ACCEPTED

input
76 62568531781086688

correct output
111230040

user output
111230040

Test 73

Verdict: ACCEPTED

input
80 638842883372078079

correct output
843571033

user output
843571033

Test 74

Verdict: ACCEPTED

input
72 568029317340376926

correct output
760917479

user output
760917479

Test 75

Verdict: ACCEPTED

input
57 993363883840818838

correct output
125996687

user output
125996687

Test 76

Verdict: ACCEPTED

input
54 587462523883449402

correct output
707247678

user output
707247678

Test 77

Verdict: ACCEPTED

input
50 654341799647462242

correct output
823275735

user output
823275735

Test 78

Verdict: ACCEPTED

input
58 198843859011456415

correct output
392227014

user output
392227014

Test 79

Verdict: ACCEPTED

input
61 710225245014179861

correct output
352309063

user output
352309063

Test 80

Verdict: ACCEPTED

input
81 435847411137743327

correct output
639314946

user output
639314946