Submission details
Task:Grid paths
Sender:aalto25l_001
Submission time:2025-11-19 17:42:04 +0200
Language:Python3 (PyPy3)
Status:READY
Result:
Test results
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Code

def multinomial(lst):
    result, i = 1, sum(lst)
    i0 = lst.index(max(lst))
    for a in lst[:i0] + lst[i0+1:]:
        for j in range(1,a+1):
            result *= i
            result //= j
            i -= 1
            print(result)
    return result



if __name__ == "__main__":
    p = list(map(int, input().split()))

    print(multinomial(p)% 998244353)

Test details

Test 1

Verdict:

input
1 1 1

correct output
6

user output
3
6
6

Test 2

Verdict:

input
1 2 2

correct output
30

user output
5
20
30
30

Test 3

Verdict:

input
2 2 2

correct output
90

user output
6
15
60
90
90

Test 4

Verdict:

input
1 3 2

correct output
60

user output
6
30
60
60

Test 5

Verdict: ACCEPTED

input
1 0 0

correct output
1

user output
1

Test 6

Verdict:

input
2 0 3

correct output
10

user output
5
10
10

Test 7

Verdict:

input
4 4 2

correct output
3150

user output
10
45
120
210
1260
...

Test 8

Verdict: ACCEPTED

input
1 0 4

correct output
5

user output
5
5

Test 9

Verdict:

input
5 5 1

correct output
2772

user output
11
55
165
330
462
...

Test 10

Verdict: ACCEPTED

input
0 1 4

correct output
5

user output
5
5

Test 11

Verdict:

input
5 0 5

correct output
252

user output
10
45
120
210
252
...

Test 12

Verdict:

input
0 2 3

correct output
10

user output
5
10
10

Test 13

Verdict:

input
6 6 7

correct output
46558512

user output
19
171
969
3876
11628
...

Test 14

Verdict:

input
4 10 7

correct output
116396280

user output
21
210
1330
5985
101745
...

Test 15

Verdict:

input
4 2 0

correct output
15

user output
6
15
15

Test 16

Verdict:

input
6 0 7

correct output
1716

user output
13
78
286
715
1287
...

Test 17

Verdict:

input
10 9 6

correct output
388234152

user output
25
300
2300
12650
53130
...

Test 18

Verdict:

input
2 0 9

correct output
55

user output
11
55
55

Test 19

Verdict:

input
9 10 3

correct output
142262120

user output
22
231
1540
7315
26334
...

Test 20

Verdict:

input
0 2 8

correct output
45

user output
10
45
45

Test 21

Verdict:

input
9 0 10

correct output
92378

user output
19
171
969
3876
11628
...

Test 22

Verdict:

input
0 4 5

correct output
126

user output
9
36
84
126
126

Test 23

Verdict:

input
77 30 2

correct output
207933206

user output
109
5886
209934
5563251
116828271
...

Test 24

Verdict:

input
18 6 1

correct output
3364900

user output
25
300
2300
12650
53130
...

Test 25

Verdict:

input
15 45 74

correct output
53128847

user output
134
8911
392084
12840751
333859526
...

Test 26

Verdict:

input
78 61 23

correct output
501316289

user output
162
13041
695520
27646920
873642672
...

Test 27

Verdict:

input
51 93 78

correct output
126313894

user output
222
24531
1798940
98491965
4294249674
...

Test 28

Verdict:

input
85 82 18

correct output
531313357

user output
185
17020
1038220
47239010
1710052162
...

Test 29

Verdict:

input
22 32 52

correct output
837184390

user output
106
5565
192920
4967690
101340876
...

Test 30

Verdict:

input
29 18 53

correct output
62578813

user output
100
4950
161700
3921225
75287520
...

Test 31

Verdict:

input
65 7 51

correct output
422701975

user output
123
7503
302621
9078630
216071394
...

Test 32

Verdict:

input
9 43 76

correct output
83791842

user output
128
8128
341376
10668000
264566400
...

Test 33

Verdict:

input
588 888 898

correct output
503848334

user output
2374
2816751
2227111124
1320120118751
625736936287974
...

Test 34

Verdict:

input
48 800 289

correct output
155056270

user output
1137
645816
244333720
69268609620
15696266939892
...

Test 35

Verdict:

input
208 702 482

correct output
539442446

user output
1392
968136
448569680
155765821380
43240592015088
...

Test 36

Verdict:

input
517 669 947

correct output
637353246

user output
2133
2273778
1615140306
860062212945
366214490271981
...

Test 37

Verdict:

input
960 294 700

correct output
342937256

user output
1954
1908081
1241524704
605553674376
236165933006640
...

Test 38

Verdict:

input
870 696 582

correct output
616260310

user output
2148
2305878
1649471396
884529036105
379286050681824
...

Test 39

Verdict:

input
308 713 519

correct output
33883838

user output
1540
1185030
607525380
233441627265
71713267895808
...

Test 40

Verdict:

input
426 481 815

correct output
556824158

user output
1722
1481781
849554440
365096020590
125446992674724
...

Test 41

Verdict:

input
729 170 561

correct output
509492253

user output
1460
1065070
517624020
188544549285
54904172751792
...

Test 42

Verdict:

input
864 801 285

correct output
364315381

user output
1950
1900275
1233911900
600606617325
233756095462890
...

Test 43

Verdict:

input
6442 9170 3807

correct output
786529613

user output
(empty)

Test 44

Verdict:

input
2860 289 9582

correct output
685493194

user output
12731
81032815
343822234045
1094042348731190
2784775394460371026
...

Test 45

Verdict:

input
8589 596 3727

correct output
760680556

user output
12912
83353416
358697533520
1157606615052420
2988477237419327472
...

Test 46

Verdict:

input
2485 6897 4500

correct output
940772711

user output
(empty)

Test 47

Verdict:

input
385 1957 7801

correct output
857634324

user output
10143
51435153
173867962191
440755284154185
893763565207856343
...

Test 48

Verdict:

input
4581 4498 3083

correct output
434838551

user output
(empty)

Test 49

Verdict:

input
7285 876 6016

correct output
542143311

user output
(empty)

Test 50

Verdict:

input
9445 1392 4641

correct output
71990254

user output
(empty)

Test 51

Verdict:

input
3848 8971 8597

correct output
894107749

user output
(empty)

Test 52

Verdict:

input
5469 56 7979

correct output
530063189

user output
13504
91172256
410335933504
1384986359559376
3739463170810315200
...

Test 53

Verdict:

input
40769 64401 5536

correct output
835170422

user output
(empty)

Test 54

Verdict:

input
25092 68058 4609

correct output
774058420

user output
(empty)

Test 55

Verdict:

input
37454 79655 95072

correct output
146618336

user output
(empty)

Test 56

Verdict:

input
11505 49686 60907

correct output
460903426

user output
(empty)

Test 57

Verdict:

input
83485 43254 10479

correct output
365702907

user output
(empty)

Test 58

Verdict:

input
98902 30454 54955

correct output
137657373

user output
(empty)

Test 59

Verdict:

input
78384 25805 63484

correct output
364221017

user output
(empty)

Test 60

Verdict:

input
11349 85177 97449

correct output
878820672

user output
(empty)

Test 61

Verdict:

input
1749 42649 89158

correct output
568752540

user output
(empty)

Test 62

Verdict:

input
30096 47374 24706

correct output
829354422

user output
(empty)

Test 63

Verdict:

input
54882 59285 71520

correct output
623675666

user output
(empty)

Test 64

Verdict:

input
41702 99720 72033

correct output
277561895

user output
(empty)

Test 65

Verdict:

input
43600 18508 2592

correct output
412985183

user output
(empty)

Test 66

Verdict:

input
55080 7072 70815

correct output
652841102

user output
(empty)

Test 67

Verdict:

input
96704 90063 54724

correct output
774619311

user output
(empty)

Test 68

Verdict:

input
22199 5518 87074

correct output
696743124

user output
(empty)

Test 69

Verdict:

input
89287 94749 33198

correct output
584345165

user output
(empty)

Test 70

Verdict:

input
7630 22734 77993

correct output
570604316

user output
(empty)

Test 71

Verdict:

input
87344 1111 96855

correct output
17915653

user output
(empty)

Test 72

Verdict:

input
1037 36446 50188

correct output
856454369

user output
(empty)

Test 73

Verdict:

input
77133 29876 2075

correct output
954243600

user output
(empty)

Test 74

Verdict:

input
18027 6830 1947

correct output
317560580

user output
(empty)

Test 75

Verdict:

input
15416 44622 74006

correct output
58145749

user output
(empty)

Test 76

Verdict:

input
77771 60735 23754

correct output
506483665

user output
(empty)

Test 77

Verdict:

input
51395 92190 77317

correct output
162293324

user output
(empty)

Test 78

Verdict:

input
84883 81359 17889

correct output
756622374

user output
(empty)

Test 79

Verdict:

input
22329 32666 52317

correct output
340258046

user output
(empty)

Test 80

Verdict:

input
29466 18178 53059

correct output
198540032

user output
(empty)

Test 81

Verdict:

input
65038 7601 50546

correct output
977669993

user output
(empty)

Test 82

Verdict:

input
9753 43047 76126

correct output
980244494

user output
(empty)

Test 83

Verdict:

input
58814 88742 89772

correct output
967086349

user output
(empty)

Test 84

Verdict:

input
4872 79928 28911

correct output
451336611

user output
(empty)

Test 85

Verdict:

input
20846 70197 48168

correct output
813382933

user output
(empty)

Test 86

Verdict:

input
51730 66910 94697

correct output
68361808

user output
(empty)

Test 87

Verdict:

input
96003 29443 69952

correct output
85060141

user output
(empty)

Test 88

Verdict:

input
87013 69607 58228

correct output
663549762

user output
(empty)

Test 89

Verdict:

input
30793 71312 51939

correct output
819595366

user output
(empty)

Test 90

Verdict:

input
42572 48080 81459

correct output
545882121

user output
(empty)

Test 91

Verdict:

input
72902 17082 56124

correct output
753823906

user output
(empty)

Test 92

Verdict:

input
86377 80054 28491

correct output
760419142

user output
(empty)

Test 93

Verdict:

input
64415 91699 38075

correct output
939685526

user output
(empty)

Test 94

Verdict:

input
28605 2899 95812

correct output
886982112

user output
(empty)

Test 95

Verdict:

input
85890 5965 37271

correct output
830797537

user output
(empty)

Test 96

Verdict:

input
24851 68969 44998

correct output
785235517

user output
(empty)

Test 97

Verdict:

input
3856 19576 78011

correct output
586779888

user output
(empty)

Test 98

Verdict:

input
45806 44980 30835

correct output
61814992

user output
(empty)

Test 99

Verdict:

input
72851 8764 60162

correct output
423877809

user output
(empty)

Test 100

Verdict:

input
94451 13922 46410

correct output
534902695

user output
(empty)

Test 101

Verdict:

input
38477 89702 85972

correct output
149142997

user output
(empty)

Test 102

Verdict:

input
54689 566 79791

correct output
121698401

user output
(empty)