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Problems
As behooves any intelligent schoolboy, Kevin Sun is studying psycowlogy, cowculus, and cryptcowgraphy at the Bovinia State University (BGU) under Farmer Ivan. During his Mathematics of Olympiads (MoO) class, Kevin was confronted with a weird functional equation and needs your help. For two fixed integers k and p, where p is an odd prime number, the functional equation states that for some function . (This equation should hold for any integer x in the range 0 to p - 1, inclusive.) It turns out that f can actually be many different functions. Instead of finding a solution, Kevin wants you to count the number of distinct functions f that satisfy this equation. Since the answer may be very large, you should print your result modulo 109 + 7. The input consists of two space-separated integers p and k (3 ≤ p ≤ 1 000 000, 0 ≤ k ≤ p - 1) on a single line. It is guaranteed that p is an odd prime number. Print a single integer, the number of distinct functions f modulo 109 + 7. In the first sample, p = 3 and k = 2. The following functions work: |
Tutorials
Submissions
Submission Id |
Author(s) |
Index |
Submitted |
Verdict |
Language |
Test Set |
Tests Passed |
Time taken (ms) |
Memory Consumed (bytes) |
Tags |
Rating |
|
14608224 |
Gassa |
B |
Dec. 1, 2015, 9:02 p.m. |
OK |
D |
TESTS |
54 |
30 |
0 |
|
2000 |
|
14597739 |
Gassa |
B |
Dec. 1, 2015, 4:48 p.m. |
OK |
D |
TESTS |
54 |
30 |
0 |
|
2000 |
|
14618864 |
ruban |
B |
Dec. 2, 2015, 12:30 p.m. |
OK |
Delphi |
TESTS |
54 |
156 |
0 |
|
2000 |
|
14607138 |
TheHedgehog |
B |
Dec. 1, 2015, 7:41 p.m. |
OK |
Delphi |
TESTS |
54 |
390 |
19148800 |
|
2000 |
|
14619299 |
ez_zkj |
B |
Dec. 2, 2015, 12:54 p.m. |
OK |
FPC |
TESTS |
54 |
46 |
14028800 |
|
2000 |
|
15819526 |
quangminhhlrv |
B |
Feb. 5, 2016, 6:25 a.m. |
OK |
FPC |
TESTS |
54 |
46 |
14233600 |
|
2000 |
|
14743396 |
FrostStar |
B |
Dec. 10, 2015, 12:27 p.m. |
OK |
FPC |
TESTS |
54 |
93 |
20582400 |
|
2000 |
|
15325402 |
ghostriderhp99 |
B |
Jan. 13, 2016, 3:21 a.m. |
OK |
FPC |
TESTS |
54 |
561 |
31539200 |
|
2000 |
|
14604025 |
hashlife |
B |
Dec. 1, 2015, 5:49 p.m. |
OK |
GNU C |
TESTS |
54 |
31 |
1024000 |
|
2000 |
|
20186506 |
Who1 |
B |
Aug. 27, 2016, 2:55 a.m. |
OK |
GNU C |
TESTS |
54 |
31 |
2867200 |
|
2000 |
|
15898791 |
rchehab |
B |
Feb. 8, 2016, 4:17 p.m. |
OK |
GNU C |
TESTS |
54 |
31 |
3993600 |
|
2000 |
|
14608009 |
sgtlaugh |
B |
Dec. 1, 2015, 8:43 p.m. |
OK |
GNU C |
TESTS |
54 |
31 |
3993600 |
|
2000 |
|
19434426 |
vjudge3 |
B |
July 27, 2016, 6:10 a.m. |
OK |
GNU C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
19281133 |
SoiMae |
B |
July 20, 2016, 1:10 p.m. |
OK |
GNU C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
18567684 |
abcdeedcba |
B |
June 17, 2016, 11:17 p.m. |
OK |
GNU C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
16561196 |
Ioser |
B |
March 7, 2016, 6:59 a.m. |
OK |
GNU C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
16229342 |
yang12138 |
B |
Feb. 20, 2016, 1:13 p.m. |
OK |
GNU C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
15625627 |
RNS3 |
B |
Jan. 28, 2016, 8:55 a.m. |
OK |
GNU C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
15625623 |
RNS3 |
B |
Jan. 28, 2016, 8:55 a.m. |
OK |
GNU C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
18755732 |
CAEASAR |
B |
June 27, 2016, 5 p.m. |
OK |
GNU C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
20757850 |
AkaneSasu |
B |
Sept. 19, 2016, 2:23 p.m. |
OK |
GNU C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
20420876 |
hanjitao |
B |
Sept. 6, 2016, 3:07 p.m. |
OK |
GNU C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
57115567 |
rainboy |
B |
July 15, 2019, 7:52 p.m. |
OK |
GNU C11 |
TESTS |
54 |
31 |
31948800 |
|
2000 |
|
19208867 |
_h_ |
B |
July 18, 2016, 9:47 a.m. |
OK |
GNU C++11 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
20255821 |
D_xcj |
B |
Aug. 29, 2016, 3:10 p.m. |
OK |
GNU C++11 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
19434813 |
vjudge5 |
B |
July 27, 2016, 6:36 a.m. |
OK |
GNU C++11 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
19391893 |
pwild |
B |
July 25, 2016, 1:29 a.m. |
OK |
GNU C++11 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
19256743 |
Seiche |
B |
July 19, 2016, 3:40 p.m. |
OK |
GNU C++11 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
18979802 |
semiexp |
B |
July 9, 2016, 5:44 a.m. |
OK |
GNU C++11 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
16272211 |
TylerX |
B |
Feb. 22, 2016, 6:39 a.m. |
OK |
GNU C++11 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
16134430 |
imrusty |
B |
Feb. 18, 2016, 12:55 a.m. |
OK |
GNU C++11 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
16020778 |
ko_osaga |
B |
Feb. 14, 2016, 4:29 p.m. |
OK |
GNU C++11 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
15956782 |
konstantin_013 |
B |
Feb. 11, 2016, 1:34 p.m. |
OK |
GNU C++11 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
22212756 |
msmlkm |
B |
Nov. 14, 2016, 7:09 p.m. |
OK |
GNU C++14 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
52252502 |
vjudge2 |
B |
April 3, 2019, 2:15 a.m. |
OK |
GNU C++14 |
TESTS |
54 |
15 |
0 |
|
2000 |
|
27484681 |
Tooc0ld |
B |
June 1, 2017, 12:37 p.m. |
OK |
GNU C++14 |
TESTS |
54 |
15 |
1024000 |
|
2000 |
|
33664119 |
adityakumar3811 |
B |
Dec. 27, 2017, 8:31 a.m. |
OK |
GNU C++14 |
TESTS |
54 |
15 |
1945600 |
|
2000 |
|
32990860 |
Jeffrey |
B |
Dec. 7, 2017, 2:54 a.m. |
OK |
GNU C++14 |
TESTS |
54 |
15 |
1945600 |
|
2000 |
|
28820032 |
fengye1998 |
B |
July 24, 2017, 9:03 a.m. |
OK |
GNU C++14 |
TESTS |
54 |
15 |
1945600 |
|
2000 |
|
22788134 |
N00 |
B |
Dec. 7, 2016, 2:02 p.m. |
OK |
GNU C++14 |
TESTS |
54 |
15 |
1945600 |
|
2000 |
|
34923475 |
Genlian |
B |
Feb. 4, 2018, 12:55 p.m. |
OK |
GNU C++14 |
TESTS |
54 |
15 |
1945600 |
|
2000 |
|
35736852 |
Hiren.Vaghela |
B |
Feb. 26, 2018, 3:27 p.m. |
OK |
GNU C++14 |
TESTS |
54 |
15 |
2048000 |
|
2000 |
|
26706962 |
mavd09 |
B |
April 27, 2017, 4:52 p.m. |
OK |
GNU C++14 |
TESTS |
54 |
15 |
3891200 |
|
2000 |
|
67483168 |
AM. |
B |
Dec. 23, 2019, 4:36 p.m. |
OK |
GNU C++17 |
TESTS |
54 |
31 |
0 |
|
2000 |
|
67245094 |
squarepants |
B |
Dec. 19, 2019, 5:03 p.m. |
OK |
GNU C++17 |
TESTS |
54 |
31 |
0 |
|
2000 |
|
66171193 |
tinca_matei |
B |
Dec. 2, 2019, 10:28 a.m. |
OK |
GNU C++17 |
TESTS |
54 |
31 |
0 |
|
2000 |
|
64070446 |
zeus_orz |
B |
Nov. 2, 2019, 7:13 a.m. |
OK |
GNU C++17 |
TESTS |
54 |
31 |
0 |
|
2000 |
|
61513236 |
ACraider |
B |
Sept. 29, 2019, 4:38 p.m. |
OK |
GNU C++17 |
TESTS |
54 |
31 |
0 |
|
2000 |
|
60906558 |
Anaya99 |
B |
Sept. 20, 2019, 2:58 a.m. |
OK |
GNU C++17 |
TESTS |
54 |
31 |
0 |
|
2000 |
|
57821463 |
jt_112 |
B |
July 26, 2019, 11:40 p.m. |
OK |
GNU C++17 |
TESTS |
54 |
31 |
0 |
|
2000 |
|
56044017 |
khaled.farouk_2 |
B |
June 25, 2019, 3:41 p.m. |
OK |
GNU C++17 |
TESTS |
54 |
31 |
0 |
|
2000 |
|
54992179 |
kiowords |
B |
June 2, 2019, 7:36 p.m. |
OK |
GNU C++17 |
TESTS |
54 |
31 |
0 |
|
2000 |
|
67984229 |
Jester |
B |
Dec. 30, 2019, 9:09 p.m. |
OK |
GNU C++17 |
TESTS |
54 |
31 |
0 |
|
2000 |
|
15177572 |
exentropy |
B |
Jan. 4, 2016, 5:43 a.m. |
OK |
Haskell |
TESTS |
54 |
171 |
21196800 |
|
2000 |
|
14587753 |
Petr |
B |
Dec. 1, 2015, 3:46 p.m. |
OK |
Java 7 |
TESTS |
54 |
109 |
0 |
|
2000 |
|
15989038 |
lucasr |
B |
Feb. 13, 2016, 2:55 p.m. |
OK |
Java 7 |
TESTS |
54 |
124 |
0 |
|
2000 |
|
15339423 |
riversouther |
B |
Jan. 14, 2016, 3:17 a.m. |
OK |
Java 7 |
TESTS |
54 |
124 |
0 |
|
2000 |
|
14933959 |
thisisausername11235 |
B |
Dec. 23, 2015, 6:25 a.m. |
OK |
Java 7 |
TESTS |
54 |
124 |
0 |
|
2000 |
|
14593025 |
fromWork |
B |
Dec. 1, 2015, 4:14 p.m. |
OK |
Java 7 |
TESTS |
54 |
124 |
0 |
|
2000 |
|
14601108 |
tehqin |
B |
Dec. 1, 2015, 5:16 p.m. |
OK |
Java 7 |
TESTS |
54 |
139 |
0 |
|
2000 |
|
14705384 |
thangminh.le208 |
B |
Dec. 9, 2015, 1:02 a.m. |
OK |
Java 7 |
TESTS |
54 |
140 |
0 |
|
2000 |
|
14677176 |
partizan22 |
B |
Dec. 6, 2015, 3:01 p.m. |
OK |
Java 7 |
TESTS |
54 |
140 |
0 |
|
2000 |
|
14961903 |
xiaowuc1 |
B |
Dec. 24, 2015, 12:37 a.m. |
OK |
Java 7 |
TESTS |
54 |
156 |
0 |
|
2000 |
|
14617015 |
EdithMeh |
B |
Dec. 2, 2015, 10:37 a.m. |
OK |
Java 7 |
TESTS |
54 |
187 |
0 |
|
2000 |
|
14608702 |
AlexFetisov |
B |
Dec. 1, 2015, 9:56 p.m. |
OK |
Java 8 |
TESTS |
54 |
108 |
0 |
|
2000 |
|
15508695 |
Empress |
B |
Jan. 23, 2016, 6:14 a.m. |
OK |
Java 8 |
TESTS |
54 |
109 |
0 |
|
2000 |
|
15194865 |
ahmetyalp |
B |
Jan. 5, 2016, 6:58 p.m. |
OK |
Java 8 |
TESTS |
54 |
109 |
0 |
|
2000 |
|
61593114 |
Nutella3000 |
B |
Oct. 1, 2019, 7:45 a.m. |
OK |
Java 8 |
TESTS |
54 |
124 |
0 |
|
2000 |
|
14639952 |
mkirsche |
B |
Dec. 3, 2015, 9:03 p.m. |
OK |
Java 8 |
TESTS |
54 |
124 |
0 |
|
2000 |
|
14608868 |
ahmetyalp |
B |
Dec. 1, 2015, 10:19 p.m. |
OK |
Java 8 |
TESTS |
54 |
124 |
0 |
|
2000 |
|
14603862 |
yarrr |
B |
Dec. 1, 2015, 5:46 p.m. |
OK |
Java 8 |
TESTS |
54 |
124 |
0 |
|
2000 |
|
14592013 |
Lewin |
B |
Dec. 1, 2015, 4:08 p.m. |
OK |
Java 8 |
TESTS |
54 |
124 |
0 |
|
2000 |
|
14591544 |
Sergey.Bankevich |
B |
Dec. 1, 2015, 4:05 p.m. |
OK |
Java 8 |
TESTS |
54 |
124 |
0 |
|
2000 |
|
19918573 |
hama-du |
B |
Aug. 17, 2016, 2:59 a.m. |
OK |
Java 8 |
TESTS |
54 |
124 |
20172800 |
|
2000 |
|
14604263 |
azukun |
B |
Dec. 1, 2015, 6:01 p.m. |
OK |
MS C# |
TESTS |
54 |
77 |
1228800 |
|
2000 |
|
15748599 |
Maks_DP |
B |
Feb. 2, 2016, 11:13 a.m. |
OK |
MS C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
14859806 |
Xhark |
B |
Dec. 18, 2015, 11:28 a.m. |
OK |
MS C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
14757410 |
fA1sEr |
B |
Dec. 11, 2015, 12:21 p.m. |
OK |
MS C++ |
TESTS |
54 |
15 |
0 |
|
2000 |
|
15161979 |
kinol |
B |
Jan. 2, 2016, 7:12 p.m. |
OK |
MS C++ |
TESTS |
54 |
30 |
0 |
|
2000 |
|
14832865 |
Musuccess |
B |
Dec. 16, 2015, 10:49 a.m. |
OK |
MS C++ |
TESTS |
54 |
30 |
0 |
|
2000 |
|
15212980 |
Sandmann |
B |
Jan. 6, 2016, 5:59 p.m. |
OK |
MS C++ |
TESTS |
54 |
31 |
1024000 |
|
2000 |
|
14695637 |
sereja589 |
B |
Dec. 8, 2015, 9:04 a.m. |
OK |
MS C++ |
TESTS |
54 |
31 |
1024000 |
|
2000 |
|
14618050 |
izban |
B |
Dec. 2, 2015, 11:42 a.m. |
OK |
MS C++ |
TESTS |
54 |
31 |
1024000 |
|
2000 |
|
14596837 |
TonySnark |
B |
Dec. 1, 2015, 4:41 p.m. |
OK |
MS C++ |
TESTS |
54 |
31 |
1024000 |
|
2000 |
|
14615061 |
arkahjp |
B |
Dec. 2, 2015, 8:39 a.m. |
OK |
MS C++ |
TESTS |
54 |
31 |
7372800 |
|
2000 |
|
17376454 |
TokuchiToa |
B |
April 18, 2016, 1:18 p.m. |
OK |
PyPy 2 |
TESTS |
54 |
108 |
44748800 |
|
2000 |
|
50641633 |
YESMAths |
B |
March 1, 2019, 2:10 p.m. |
OK |
PyPy 2 |
TESTS |
54 |
171 |
4812800 |
|
2000 |
|
50641321 |
YESMAths |
B |
March 1, 2019, 2:03 p.m. |
OK |
PyPy 2 |
TESTS |
54 |
187 |
4300800 |
|
2000 |
|
35895952 |
_____k_____ |
B |
March 3, 2018, 4:57 p.m. |
OK |
PyPy 3 |
TESTS |
54 |
78 |
19968000 |
|
2000 |
|
35895359 |
______n______ |
B |
March 3, 2018, 4:41 p.m. |
OK |
PyPy 3 |
TESTS |
54 |
78 |
19968000 |
|
2000 |
|
35895103 |
______u______ |
B |
March 3, 2018, 4:35 p.m. |
OK |
PyPy 3 |
TESTS |
54 |
78 |
19968000 |
|
2000 |
|
35894866 |
_____i_____ |
B |
March 3, 2018, 4:30 p.m. |
OK |
PyPy 3 |
TESTS |
54 |
78 |
19968000 |
|
2000 |
|
35886704 |
______h______ |
B |
March 3, 2018, 1:51 p.m. |
OK |
PyPy 3 |
TESTS |
54 |
78 |
19968000 |
|
2000 |
|
35886257 |
______k______ |
B |
March 3, 2018, 1:43 p.m. |
OK |
PyPy 3 |
TESTS |
54 |
78 |
19968000 |
|
2000 |
|
35885431 |
______i______ |
B |
March 3, 2018, 1:28 p.m. |
OK |
PyPy 3 |
TESTS |
54 |
78 |
19968000 |
|
2000 |
|
35883500 |
______M______ |
B |
March 3, 2018, 12:56 p.m. |
OK |
PyPy 3 |
TESTS |
54 |
78 |
19968000 |
|
2000 |
|
23026922 |
cugel |
B |
Dec. 16, 2016, 10:35 a.m. |
OK |
PyPy 3 |
TESTS |
54 |
139 |
307200 |
|
2000 |
|
22947877 |
Yash_ |
B |
Dec. 14, 2016, 12:07 p.m. |
OK |
PyPy 3 |
TESTS |
54 |
139 |
307200 |
|
2000 |
|
14942509 |
lemur |
B |
Dec. 23, 2015, 4:42 p.m. |
OK |
Python 2 |
TESTS |
54 |
61 |
0 |
|
2000 |
|
19175694 |
jtnydv25 |
B |
July 16, 2016, 3:16 p.m. |
OK |
Python 2 |
TESTS |
54 |
280 |
0 |
|
2000 |
|
14706493 |
fanlove |
B |
Dec. 9, 2015, 5:24 a.m. |
OK |
Python 2 |
TESTS |
54 |
312 |
0 |
|
2000 |
|
14590964 |
nwi |
B |
Dec. 1, 2015, 4:02 p.m. |
OK |
Python 2 |
TESTS |
54 |
327 |
0 |
|
2000 |
|
15230329 |
Cozma_Tudor |
B |
Jan. 7, 2016, 9:22 p.m. |
OK |
Python 2 |
TESTS |
54 |
343 |
16384000 |
|
2000 |
|
14930542 |
Ljubitel |
B |
Dec. 22, 2015, 8:44 p.m. |
OK |
Python 2 |
TESTS |
54 |
748 |
3993600 |
|
2000 |
|
15159473 |
aboura |
B |
Jan. 2, 2016, 2:33 p.m. |
OK |
Python 3 |
TESTS |
54 |
265 |
0 |
|
2000 |
|
42128199 |
Mk_Python_v1 |
B |
Aug. 26, 2018, 4:39 p.m. |
OK |
Python 3 |
TESTS |
54 |
327 |
0 |
|
2000 |
|
25778302 |
platypus179 |
B |
March 24, 2017, 4:23 p.m. |
OK |
Python 3 |
TESTS |
54 |
701 |
44032000 |
|
2000 |
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