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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 |
---|---|---|---|---|---|---|---|---|---|
#768339 | #9479. And DNA | Huasushis | AC ✓ | 1ms | 3748kb | C++17 | 1.8kb | 2024-11-21 09:28:46 | 2024-11-21 09:28:46 |
Judging History
answer
#include <bits/stdc++.h>
char buf[5000000], *p1, *p2;
#define nc() (p1==p2&&(p2=(p1=buf)+fread(buf,1,5000000,stdin),p1==p2)?EOF:*p1++)
template<typename T>
inline void read_s(T& x) {x=0;bool f=0;int ch;while(!isdigit(ch=nc()))f|=ch=='-';do{x=x*10+(ch^48);}while(isdigit(ch=nc()));f&&(x=-x);}
template<typename... Args>
void read(Args& ...args) {
(read_s(args), ...);
}
#define mod 998244353ll
using ll = long long;
void add(ll& x, ll y) {
x += y - mod;
x += (x >> 63) & mod;
}
struct matrix {
ll a[3][3];
ll* operator[] (int x) {return a[x];}
const ll* operator[] (int x) const {return a[x];}
static matrix geti() {
matrix res{};
for (int i = 0; i < 3; ++i) res[i][i] = 1;
return res;
}
matrix operator* (const matrix& b) const {
matrix res{};
for (int i = 0; i < 3; ++i) {
for (int k = 0; k < 3; ++k) {
for (int j = 0; j < 3; ++j) {
add(res[i][j], a[i][k] * b[k][j] % mod);
}
}
}
return res;
}
};
matrix qp(matrix a, ll y) {
matrix res = matrix::geti();
while (y) {
if (y & 1) res = res * a;
a = a * a;
y >>= 1;
}
return res;
}
ll w(int n) {
matrix base{
0, 1, 1,
1, 0, 0,
0, 1, 0,
};
auto res = qp(base, n - 3);
ll ans = (3 * res[0][0] + 2 * res[0][1]) % mod;
return ans;
}
int n, m;
ll f[31][2];
int main() {
std::cin.tie(nullptr) -> sync_with_stdio(false);
read(n, m);
ll v = w(n);
f[0][0] = 1;
for (int i = 1; i <= 30; ++i) {
if ((m >> (i - 1)) & 1) {
f[i][0] = f[i - 1][1];
add(f[i][0], f[i - 1][0] * v % mod);
f[i][1] = f[i - 1][1];
} else {
f[i][0] = f[i - 1][0];
f[i][1] = f[i - 1][0];
add(f[i][1], f[i - 1][1] * v % mod);
}
}
std::cout << f[30][0] << '\n';
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3748kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3680kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3724kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3744kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3724kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3656kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3676kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3724kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3720kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed