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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#22376 | #2551. Math String | George_Plover# | AC ✓ | 3ms | 3856kb | C++20 | 1.3kb | 2022-03-09 16:39:05 | 2022-04-30 00:58:30 |
Judging History
answer
#include <bits/stdc++.h>
#define N 7
#define M 998244353
struct matrix
{
int v[N][N];
matrix(bool d = false)
{
memset(v, 0, sizeof v);
if (d)
for (int i = 0; i < N; i++)
v[i][i] = 1;
}
matrix operator*(const matrix &m) const
{
auto r = matrix();
for (int i = 0; i < N; i++)
for (int j = 0; j < N; j++)
for (int k = 0; k < N; k++)
r.v[i][j] = (r.v[i][j] + (long long)v[i][k] * m.v[k][j] % M) % M;
return r;
}
matrix operator^(long long e) const
{
auto r = matrix(true);
for (auto m = *this; e; e >>= 1, m = m * m)
if (e & 1)
r = r * m;
return r;
}
} g;
long long n;
int main()
{
scanf("%lld", &n);
if (n == 1)
{
puts("45");
return 0;
}
g.v[0][1] = g.v[0][3] = g.v[0][5] = 1;
g.v[1][1] = 99; g.v[1][2] = M - 765;
g.v[2][1] = 1;
g.v[3][0] = g.v[3][3] = g.v[3][4] = 9;
g.v[4][3] = 1;
g.v[5][2] = g.v[5][5] = 9; g.v[5][6] = 18;
g.v[6][5] = 1;
g = g ^ (n - 1);
int v[N] = {45, 4455, 45, 0, 0, 0, 0}, r = 0;
for (int i = 0; i < N; i++)
r = (r + (long long)g.v[0][i] * v[i] % M) % M;
printf("%d\n", r);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 3732kb
input:
1
output:
45
result:
ok answer is '45'
Test #2:
score: 0
Accepted
time: 3ms
memory: 3796kb
input:
3
output:
407430
result:
ok answer is '407430'
Test #3:
score: 0
Accepted
time: 3ms
memory: 3768kb
input:
1000000000000000000
output:
493565653
result:
ok answer is '493565653'
Test #4:
score: 0
Accepted
time: 3ms
memory: 3852kb
input:
999999999999999254
output:
963821656
result:
ok answer is '963821656'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3792kb
input:
2
output:
4455
result:
ok answer is '4455'
Test #6:
score: 0
Accepted
time: 3ms
memory: 3852kb
input:
999999999999999062
output:
256461144
result:
ok answer is '256461144'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
4
output:
36934785
result:
ok answer is '36934785'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
5
output:
350210541
result:
ok answer is '350210541'
Test #9:
score: 0
Accepted
time: 3ms
memory: 3812kb
input:
6
output:
427185456
result:
ok answer is '427185456'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3784kb
input:
7
output:
991901155
result:
ok answer is '991901155'
Test #11:
score: 0
Accepted
time: 3ms
memory: 3824kb
input:
8
output:
110899952
result:
ok answer is '110899952'
Test #12:
score: 0
Accepted
time: 3ms
memory: 3788kb
input:
9
output:
89411672
result:
ok answer is '89411672'
Test #13:
score: 0
Accepted
time: 1ms
memory: 3852kb
input:
10
output:
401287887
result:
ok answer is '401287887'
Test #14:
score: 0
Accepted
time: 3ms
memory: 3764kb
input:
172
output:
376377812
result:
ok answer is '376377812'
Test #15:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
238
output:
81946973
result:
ok answer is '81946973'
Test #16:
score: 0
Accepted
time: 3ms
memory: 3768kb
input:
730
output:
661959857
result:
ok answer is '661959857'
Test #17:
score: 0
Accepted
time: 2ms
memory: 3812kb
input:
684
output:
828317367
result:
ok answer is '828317367'
Test #18:
score: 0
Accepted
time: 3ms
memory: 3784kb
input:
633
output:
673539741
result:
ok answer is '673539741'
Test #19:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
897
output:
159321465
result:
ok answer is '159321465'
Test #20:
score: 0
Accepted
time: 3ms
memory: 3720kb
input:
809
output:
521464595
result:
ok answer is '521464595'
Test #21:
score: 0
Accepted
time: 1ms
memory: 3772kb
input:
302
output:
92391482
result:
ok answer is '92391482'
Test #22:
score: 0
Accepted
time: 2ms
memory: 3804kb
input:
261
output:
854903269
result:
ok answer is '854903269'
Test #23:
score: 0
Accepted
time: 2ms
memory: 3792kb
input:
497
output:
594207939
result:
ok answer is '594207939'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3740kb
input:
951
output:
927809758
result:
ok answer is '927809758'
Test #25:
score: 0
Accepted
time: 1ms
memory: 3716kb
input:
980
output:
65372821
result:
ok answer is '65372821'
Test #26:
score: 0
Accepted
time: 3ms
memory: 3792kb
input:
1000
output:
971150090
result:
ok answer is '971150090'
Test #27:
score: 0
Accepted
time: 2ms
memory: 3744kb
input:
969
output:
511011493
result:
ok answer is '511011493'
Test #28:
score: 0
Accepted
time: 2ms
memory: 3716kb
input:
998
output:
549357456
result:
ok answer is '549357456'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
98558
output:
245733611
result:
ok answer is '245733611'
Test #30:
score: 0
Accepted
time: 1ms
memory: 3852kb
input:
35873
output:
524107440
result:
ok answer is '524107440'
Test #31:
score: 0
Accepted
time: 3ms
memory: 3800kb
input:
3015
output:
928761172
result:
ok answer is '928761172'
Test #32:
score: 0
Accepted
time: 3ms
memory: 3768kb
input:
44398
output:
339084928
result:
ok answer is '339084928'
Test #33:
score: 0
Accepted
time: 3ms
memory: 3768kb
input:
82497
output:
273305194
result:
ok answer is '273305194'
Test #34:
score: 0
Accepted
time: 3ms
memory: 3692kb
input:
81678
output:
423439974
result:
ok answer is '423439974'
Test #35:
score: 0
Accepted
time: 3ms
memory: 3784kb
input:
95002
output:
868411966
result:
ok answer is '868411966'
Test #36:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
56392
output:
127537737
result:
ok answer is '127537737'
Test #37:
score: 0
Accepted
time: 3ms
memory: 3740kb
input:
49489
output:
841113901
result:
ok answer is '841113901'
Test #38:
score: 0
Accepted
time: 1ms
memory: 3800kb
input:
57109
output:
808819191
result:
ok answer is '808819191'
Test #39:
score: 0
Accepted
time: 3ms
memory: 3772kb
input:
99674
output:
890052301
result:
ok answer is '890052301'
Test #40:
score: 0
Accepted
time: 3ms
memory: 3792kb
input:
99513
output:
147223708
result:
ok answer is '147223708'
Test #41:
score: 0
Accepted
time: 2ms
memory: 3788kb
input:
99950
output:
638000302
result:
ok answer is '638000302'
Test #42:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
99939
output:
627100241
result:
ok answer is '627100241'
Test #43:
score: 0
Accepted
time: 2ms
memory: 3804kb
input:
99904
output:
768803875
result:
ok answer is '768803875'
Test #44:
score: 0
Accepted
time: 2ms
memory: 3796kb
input:
822981260158560519
output:
500129705
result:
ok answer is '500129705'
Test #45:
score: 0
Accepted
time: 1ms
memory: 3764kb
input:
28316250878314571
output:
954707612
result:
ok answer is '954707612'
Test #46:
score: 0
Accepted
time: 3ms
memory: 3780kb
input:
779547116602636424
output:
349022088
result:
ok answer is '349022088'
Test #47:
score: 0
Accepted
time: 3ms
memory: 3780kb
input:
578223540025879436
output:
310507001
result:
ok answer is '310507001'
Test #48:
score: 0
Accepted
time: 3ms
memory: 3736kb
input:
335408917862248766
output:
399860005
result:
ok answer is '399860005'
Test #49:
score: 0
Accepted
time: 3ms
memory: 3764kb
input:
74859962623990078
output:
905924996
result:
ok answer is '905924996'
Test #50:
score: 0
Accepted
time: 3ms
memory: 3856kb
input:
252509054434733439
output:
57677315
result:
ok answer is '57677315'
Test #51:
score: 0
Accepted
time: 3ms
memory: 3648kb
input:
760713016476890622
output:
840620988
result:
ok answer is '840620988'
Test #52:
score: 0
Accepted
time: 3ms
memory: 3772kb
input:
919845426262803496
output:
929606336
result:
ok answer is '929606336'
Test #53:
score: 0
Accepted
time: 2ms
memory: 3736kb
input:
585335723211847194
output:
975973040
result:
ok answer is '975973040'
Test #54:
score: 0
Accepted
time: 3ms
memory: 3692kb
input:
999999999999999478
output:
859690282
result:
ok answer is '859690282'
Test #55:
score: 0
Accepted
time: 3ms
memory: 3772kb
input:
999999999999999902
output:
879587490
result:
ok answer is '879587490'
Test #56:
score: 0
Accepted
time: 1ms
memory: 3772kb
input:
999999999999999168
output:
585232180
result:
ok answer is '585232180'