QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#765756 | #9479. And DNA | remmymilkyway | AC ✓ | 0ms | 4100kb | C++23 | 1.5kb | 2024-11-20 15:11:08 | 2024-11-20 15:11:09 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MOD = 998244353;
int N, M;
ll f[65][2];
struct mat {
int h, w;
ll arr[3][3];
ll* operator[] (int x) {
return arr[x];
}
mat() {}
mat(vector<vector<int>> v) {
h = v.size();
w = v[0].size();
for (int i = 0; i < h; i++) {
for (int j = 0; j < w; j++) {
arr[i][j] = v[i][j];
}
}
}
friend mat operator* (mat x, mat y) {
mat ret;
ret.h = x.h;
ret.w = y.w;
for (int i = 0; i < x.h; i++) {
for (int j = 0; j < y.w; j++) {
ret[i][j] = 0;
for (int ii = 0; ii < x.w; ii++) {
(ret[i][j] += x[i][ii] * y[ii][j] % MOD) %= MOD;
}
}
}
return ret;
}
};
mat qpow(mat x, int e) {
mat ret({{1, 0, 0}, {0, 1, 0}, {0, 0, 1}});
while (e) {
if (e & 1) {
ret = ret * x;
}
x = x * x;
e >>= 1;
}
return ret;
}
int main() {
scanf("%d %d", &N, &M);
mat trans({{0, 1, 0}, {0, 0, 1}, {1, 1, 0}}), vec({{0}, {2}, {3}});
ll wN = 0;
if (N > 3) {
wN = (qpow(trans, N - 3) * vec)[2][0];
} else {
wN = vec[N - 1][0];
}
// cout << wN << '\n';
f[0][0] = 1;
for (int i = 1; i <= 30; i++) {
if (!((M >> (i - 1)) & 1)) {
f[i][0] = f[i - 1][0];
f[i][1] = (f[i - 1][1] * wN % MOD + f[i - 1][0]) % MOD;
} else {
f[i][0] = (f[i - 1][0] * wN % MOD + f[i - 1][1]) % MOD;
f[i][1] = f[i - 1][1];
}
// cout << f[i][0] << ' ' << f[i][1] << '\n';
}
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: 3808kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 4024kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 4100kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3756kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3764kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3756kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3756kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed