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#483967#2488. Diophantine EquationNemesis (Zonghan Yang, Mingchi Zhang, Jianjun Zhang) #AC ✓26ms3780kbC++201.2kb2024-07-19 15:03:192024-07-19 15:03:20

Details

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Test #1:

score: 100
Accepted
time: 1ms
memory: 3676kb

input:

4
1
2
3
4

output:

impossible
impossible
1 2
2 2

result:

ok correct (4 test cases)

Test #2:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

1000
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101...

output:

impossible
impossible
1 2
2 2
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
4 8
impossible
impossible
impossible
impossible
impossible
im...

result:

ok correct (1000 test cases)

Test #3:

score: 0
Accepted
time: 2ms
memory: 3644kb

input:

1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
65 91
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossib...

result:

ok correct (1000 test cases)

Test #4:

score: 0
Accepted
time: 9ms
memory: 3776kb

input:

1000
247757905
960577391
178241140
964243209
972616426
907455375
140900159
140627928
402419086
298350695
631415660
417560469
561576156
905633503
449222404
662125716
507262669
255811119
902129591
734930237
340169307
197443442
758463177
544759251
702352772
356479786
253292154
454046907
14403458
225277...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #5:

score: 0
Accepted
time: 2ms
memory: 3672kb

input:

1000
4644
525
4
312
784
1225
1225
8281
6292
375
9310
6877
6696
1344
6292
8424
5368
10125
1183
4644
9765
8775
9765
1029
5368
10088
1536
1323
648
6696
9548
6776
3993
648
1225
9747
6292
9464
1029
168
1536
8232
8281
4200
192
2888
375
2646
312
1323
1372
4536
1029
2646
10088
3993
4536
8232
312
4563
24
518...

output:

183 249
10 65
2 2
2 46
28 84
70 105
70 105
273 364
154 330
25 50
329 371
184 345
78 354
88 104
154 330
18 414
224 260
225 450
65 104
183 249
242 433
330 345
242 433
49 98
224 260
228 448
64 128
84 105
36 72
78 354
34 450
132 352
121 242
36 72
70 105
57 456
154 330
260 416
49 98
22 26
64 128
196 392
...

result:

ok correct (1000 test cases)

Test #6:

score: 0
Accepted
time: 2ms
memory: 3648kb

input:

1000
9747
32
4
525
8281
6776
4225
8232
4704
2496
375
8424
2646
3993
3993
648
648
8281
9765
4536
6292
4200
4
1183
2048
4225
4225
98
6877
1536
1261
10125
1261
10088
256
168
525
1372
10125
9800
5324
6877
648
6776
8112
2916
6591
6877
671
81
9310
3993
1536
2646
2187
2646
1824
1824
1344
8112
5368
847
168
...

output:

57 456
8 8
2 2
10 65
273 364
132 352
65 260
196 392
56 280
8 184
25 50
18 414
63 189
121 242
121 242
36 72
36 72
273 364
242 433
198 234
154 330
40 260
2 2
65 104
128 128
65 260
65 260
7 21
184 345
64 128
57 112
225 450
57 112
228 448
32 32
22 26
10 65
98 98
225 450
280 420
242 242
184 345
36 72
132...

result:

ok correct (1000 test cases)

Test #7:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

1000
22936119
54583200
197197560
36794880
293559552
171500
29110392
8128512
14175000
766584
37028375
65969582
7471104
322552989
23641797
33116216
2984709
118716416
56689952
42273035
290304000
44325144
182952000
10091928
40265652
227952900
2584320
59768832
10698240
95067648
39000000
266149608
1925586...

output:

38809 77618
66120 139080
230594 298606
75296 97504
199584 427680
2450 2450
31382 93466
8064 40320
9000 58500
4836 7800
72625 99600
11501 163247
11264 37888
107640 468441
39601 79202
52292 98432
15457 17342
154336 218400
117128 117128
92316 100009
316800 374400
21744 125028
118800 316800
28136 43012
...

result:

ok correct (1000 test cases)

Test #8:

score: 0
Accepted
time: 8ms
memory: 3660kb

input:

1000
4659790
756706755
892782275
5073646
560405840
301378997
703288676
878602620
260517179
695068338
363950680
78798246
521001501
120843464
542026170
716387002
597022800
232311387
999324712
515863465
10772182
606655041
965218020
513679921
926529099
579707361
492672482
807115468
407041680
115903784
2...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #9:

score: 0
Accepted
time: 9ms
memory: 3740kb

input:

1000
74085232
438931830
232448941
701818317
32154723
194890998
442009850
223149192
586775286
81972070
406650099
180420864
589967418
466343846
70488633
564320379
592790935
420084347
161176399
780119081
93301185
777537511
50293237
91301813
357341165
181837851
210338703
82136693
626448529
318597694
674...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #10:

score: 0
Accepted
time: 8ms
memory: 3652kb

input:

1000
149529727
532537074
540218763
337089971
895728366
984280909
889037403
89133487
492385379
948103763
156330648
977670051
46436989
533988185
310498340
605368806
224497164
670604214
256396846
154827292
732145510
217800547
857192275
71225343
984736122
241891024
880608957
431838058
830971153
56100458...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #11:

score: 0
Accepted
time: 4ms
memory: 3676kb

input:

1000
829498612
419176066
348105251
576495408
791966078
456890234
38388898
501283107
534413190
673568033
962468095
696320911
797809469
423608094
175833538
128887066
651155288
491244328
195452313
381112758
443699912
743914232
677398193
598451992
552032668
997294852
981883093
587911607
104645549
299688...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #12:

score: 0
Accepted
time: 9ms
memory: 3676kb

input:

1000
832532703
931734901
52618985
663967634
155815551
795421942
692889761
591919395
710665889
701119466
236886042
723567388
717630678
536307451
353077852
194361659
751711096
301902698
468567491
791941313
126293332
550370588
664917510
86524251
505201207
402703936
341263859
923551059
638071102
8592249...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #13:

score: 0
Accepted
time: 4ms
memory: 3592kb

input:

1000
356987856
725606135
81168215
553014597
848176887
48977207
82876483
273081810
782507352
444243076
980578298
675745698
436732998
590101594
616828556
917408805
581998157
64437687
660468105
99392050
915758344
617244941
575612231
98798559
393212398
37550214
634921787
868697586
987382663
360416467
40...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #14:

score: 0
Accepted
time: 6ms
memory: 3668kb

input:

1000
377873513
49486553
975739372
663689755
441052587
259609372
911537594
802211147
631333550
99608010
19284118
376882787
635753005
755236099
856553163
373074134
311297735
294801283
332372147
215438965
885151424
406044496
974664883
708556628
739470513
666503845
102329511
856563226
370341969
73225851...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #15:

score: 0
Accepted
time: 8ms
memory: 3716kb

input:

1000
306792974
373882252
979281347
57507797
834364016
383439209
225915528
865334138
464462735
996401667
960728815
224927504
152168804
589420658
32214993
880500645
488756214
588758993
716599157
609100067
628791020
902557886
154317628
495399170
158140712
109906436
728598944
560001820
116920265
1405292...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #16:

score: 0
Accepted
time: 8ms
memory: 3648kb

input:

1000
114065546
943881868
674336930
289433500
328318660
479949429
537612724
282503464
588639103
584864706
12986246
127057356
827305473
361700525
521959392
71259392
630197390
614424158
265162644
221602799
131958650
53669963
208272578
609836110
469910984
346913663
979671424
437091110
834796390
67720849...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #17:

score: 0
Accepted
time: 7ms
memory: 3712kb

input:

1000
94613768
865989019
289530920
416522245
79536964
615264952
597771631
30640680
763080294
482609488
1643880
897215216
73670709
732058095
264155500
387737792
639166833
134181860
15876000
426334142
620935638
867466003
111894738
232031840
363785462
322588050
138557039
238314144
282732350
619481207
21...

output:

55024 206340
impossible
impossible
impossible
61370 182666
impossible
impossible
36036 96264
impossible
impossible
772 13928
impossible
121745 153586
impossible
94050 410050
347904 476560
impossible
impossible
12600 63000
impossible
impossible
impossible
impossible
impossible
impossible
impossible
i...

result:

ok correct (1000 test cases)

Test #18:

score: 0
Accepted
time: 7ms
memory: 3596kb

input:

1000
70019040
445644040
161631442
27539784
595698772
362551228
932480812
52802635
465173765
14016566
29302368
904571136
430526760
287691495
125043776
242109000
312694235
383669077
398236937
80704
924886888
45235099
87234174
789602260
705200528
42795105
747302717
13561648
38864924
110132928
881215825...

output:

69244 165956
impossible
impossible
36036 89280
impossible
impossible
impossible
impossible
impossible
impossible
6532 95036
impossible
impossible
199738 421337
79872 247312
148050 381150
62769 460306
385784 447785
impossible
912 1792
impossible
impossible
impossible
impossible
impossible
16426 12224...

result:

ok correct (1000 test cases)

Test #19:

score: 0
Accepted
time: 7ms
memory: 3588kb

input:

1000
1000000000
999999999
999999998
999999997
999999996
999999995
999999994
999999993
999999992
999999991
999999990
999999989
999999988
999999987
999999986
999999985
999999984
999999983
999999982
999999981
999999980
999999979
999999978
999999977
999999976
999999975
999999974
999999973
999999972
9999...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (1000 test cases)

Test #20:

score: 0
Accepted
time: 26ms
memory: 3652kb

input:

3000
1000000000
999999999
999999998
999999997
999999996
999999995
999999994
999999993
999999992
999999991
999999990
999999989
999999988
999999987
999999986
999999985
999999984
999999983
999999982
999999981
999999980
999999979
999999978
999999977
999999976
999999975
999999974
999999973
999999972
9999...

output:

impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
impossible
imp...

result:

ok correct (3000 test cases)

Test #21:

score: 0
Accepted
time: 13ms
memory: 3652kb

input:

3000
630577376
971315648
219486861
122842167
33422116
829547701
215103567
682243813
495679826
277025127
47805122
53379456
602605537
774607710
165209625
544067179
69450591
258966643
307995801
175934892
331135106
355876290
178229107
380076017
317289506
146089500
559655507
172974204
19652000
867272160
...

output:

impossible
impossible
273240 302841
impossible
21398 103454
impossible
102442 356201
impossible
impossible
impossible
impossible
97784 124168
impossible
impossible
53865 300510
impossible
132097 136052
impossible
impossible
7658 313978
impossible
impossible
impossible
impossible
impossible
70975 275...

result:

ok correct (3000 test cases)

Test #22:

score: 0
Accepted
time: 9ms
memory: 3780kb

input:

3000
143493168
218549097
17732389
237663602
97226325
91714560
9084426
316324008
27722250
139968000
23774016
288294600
290136060
4682688
12857208
82689800
26891200
280973760
106833867
15636615
17322498
149398095
303595656
344935500
31853196
434617407
18626517
28227000
131274675
91378125
322859628
354...

output:

58786 273182
6777 362826
32552 65417
98109 381535
32490 211185
118064 189136
1547 43537
356004 380160
8325 91575
129600 259200
42560 78736
321860 367840
250686 409014
13456 26912
16240 54404
70730 186470
54880 82320
251024 398176
108241 216482
14294 62281
50031 55917
206426 238249
138788 447304
3125...

result:

ok correct (3000 test cases)