QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#770890 | #9479. And DNA | Lu_xZ | AC ✓ | 0ms | 3956kb | C++20 | 1.2kb | 2024-11-22 01:24:35 | 2024-11-22 01:24:35 |
Judging History
answer
#include<bits/stdc++.h>
#define eb emplace_back
#define ep emplace
using namespace std;
using ll = long long;
constexpr int mod = 998244353;
using T = array<array<ll, 3>, 3>;
T operator * (T a, T b) {
T c;
for(int i = 0; i < 3; ++ i) {
for(int j = 0; j < 3; ++ j) {
c[i][j] = 0;
for(int k = 0; k < 3; ++ k) {
c[i][j] = (c[i][j] + a[i][k] * b[k][j]) % mod;
}
}
}
return c;
}
T qpow(T a, int b) {
T c;
for(int i = 0; i < 3; ++ i) {
for(int j = 0; j < 3; ++ j) {
c[i][j] = i == j;
}
}
while(b) {
if(b & 1) c = c * a;
b >>= 1;
a = a * a;
}
return c;
}
int n, m; ll f[31][2];
main() {
scanf("%d%d", &n, &m);
if(!m) {
puts("1");
exit(0);
}
T a = qpow({{{0, 1, 1}, {1, 0, 0}, {0, 1, 0}}}, n - 1);
ll coef = (3 * a[2][0] + 2 * a[2][1]) % mod;
int lim = __lg(m);
if(m & 1) {
f[0][0] = coef;
}
else {
f[0][0] = f[0][1] = 1;
}
for(int k = 1; k <= lim; ++ k) {
if(m >> k & 1) {
f[k][0] = (f[k - 1][0] * coef + f[k - 1][1]) % mod;
f[k][1] = f[k - 1][1];
}
else {
f[k][0] = f[k - 1][0];
f[k][1] = (f[k - 1][1] * coef + f[k - 1][0]) % mod;
}
}
printf("%lld", f[lim][0]);
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3956kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3952kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3868kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3952kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3924kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3824kb
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: 3704kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3904kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3908kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3712kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed