QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#778713 | #9479. And DNA | Estelle_N | AC ✓ | 0ms | 1604kb | C++14 | 1.7kb | 2024-11-24 15:54:11 | 2024-11-24 15:54:12 |
Judging History
answer
#include <cstdio>
#include <cstring>
#include <algorithm>
#define int long long
using namespace std;
const int mod = 998244353;
int n, m, sum, f[35][2];
struct Matrix
{
int c[3][3];
Matrix()
{
memset(c, 0, sizeof(c));
}
friend Matrix operator * (Matrix x, Matrix y)
{
Matrix a;
for(int i = 0; i < 3; ++ i)
for(int j = 0; j < 3; ++ j)
for(int k = 0; k < 3; ++ k)
(a.c[i][j] += x.c[i][k] * y.c[k][j]) %= mod;
return a;
}
friend Matrix operator ^ (Matrix x, int y)
{
Matrix r;
for(int i = 0; i < 3; ++ i)
r.c[i][i] = 1;
for(; y; y >>= 1, x = x * x)
if(y & 1)
r = r * x;
return r;
}
};
Matrix A, B;
signed main()
{
scanf("%lld%lld", &n, &m);
B.c[0][1] = B.c[1][0] = B.c[1][2] = B.c[2][0] = 1;
B = B ^ n - 3;
A.c[0][0] = 1;
A = A * B;
sum = (sum + A.c[0][0]) % mod;
memset(A.c, 0, sizeof(A.c));
A.c[0][0] = A.c[0][2] = 1;
A = A * B;
sum = (sum + A.c[0][1] + A.c[0][2]) % mod;
memset(A.c, 0, sizeof(A.c));
A.c[0][1] = 1;
A = A * B;
sum = (sum + A.c[0][0] + A.c[0][1]) % mod;
if(m & 1)
f[0][0] = sum;
else
f[0][0] = f[0][1] = 1;
for(int i = 1; i < 31; ++ i)
{
if(m >> i & 1)
{
f[i][0] = (f[i - 1][0] * sum + f[i - 1][1]) % mod;
f[i][1] = f[i - 1][1];
}
else
{
f[i][0] = f[i - 1][0];
f[i][1] = (f[i - 1][0] + f[i - 1][1] * sum) % mod;
}
}
printf("%lld\n", f[30][0]);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 1540kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 1560kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 1552kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 1560kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 1596kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 1488kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 1504kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 1576kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 1496kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 1564kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 1604kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 1572kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 1552kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 1568kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 1564kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 1596kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 1556kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 1496kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 1560kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 1572kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 1572kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 1492kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 1600kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 1492kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 1496kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 1556kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 1488kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 1572kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 1496kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 1596kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 1572kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed