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 |
---|---|---|---|---|---|---|---|---|---|
#658834 | #9479. And DNA | ucup-team296# | AC ✓ | 4ms | 3860kb | C++20 | 2.3kb | 2024-10-19 17:43:31 | 2024-10-19 17:43:31 |
Judging History
answer
#include <bits/stdc++.h>
#define long long long int
#define DEBUG
using namespace std;
// @author: pashka
int mod = 998244353;
struct mint {
int value = 0;
constexpr mint() : value() {}
mint(const long &x) {
value = normalize(x);
}
static long normalize(const long &x) {
long v = x % mod;
if (v < 0) v += mod;
return v;
}
bool operator==(const mint &x) { return value == x.value; };
mint operator+(const mint &x) { return value + x.value; };
mint operator-(const mint &x) { return value - x.value; };
mint operator*(const mint &x) { return (long) value * x.value; };
void operator+=(const mint &x) { value = normalize(value + x.value); };
void operator-=(const mint &x) { value = normalize(value - x.value); };
};
mint t;
mint solve(int m) {
if (m == 0) {
return 1;
}
if (m % 2 == 0) {
return solve(m / 2) + solve(m / 2 - 1);
} else {
return t * solve(m / 2);
}
}
typedef vector<vector<mint>> mat;
mat mult(mat a, mat b) {
mat c(3, vector<mint>(3));
for (int i = 0; i < 3; i++) {
for (int j = 0; j < 3; j++) {
for (int k = 0; k < 3; k++) {
c[i][j] += a[i][k] * b[k][j];
}
}
}
return c;
}
mat pow(mat a, int n) {
mat res = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
while (n > 0) {
if (n % 2 == 1) {
res = mult(res, a);
}
a = mult(a, a);
n /= 2;
}
return res;
}
mint calc(int n) {
mat a = {{0, 1, 0}, {0, 0, 1}, {1, 1, 0}};
a = pow(a, n);
return a[0][0] + a[0][2];
}
int main() {
ios::sync_with_stdio(false);
// mat a = {{0, 1, 0}, {0, 0, 1}, {1, 1, 0}};
// mat aa = {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
// for (int i = 0; i < 5; i++) {
// aa = mult(aa, a);
// for (auto t : aa) {
// for (auto x : t) {
// cout << x.value;
// }
// cout << "\n";
// }
// cout << "\n";
// }
int n, m;
cin >> n >> m;
t = calc(n) + calc(n - 2) + calc(n - 3) * 2;
// cout << t.value << "\n";
cout << solve(m).value << "\n";
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3428kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3592kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 2ms
memory: 3812kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3524kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3596kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 4ms
memory: 3600kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 2ms
memory: 3656kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 4ms
memory: 3860kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3596kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3856kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 2ms
memory: 3840kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 1ms
memory: 3556kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 2ms
memory: 3528kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3532kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 3ms
memory: 3652kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 1ms
memory: 3544kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 1ms
memory: 3576kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 3ms
memory: 3552kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 2ms
memory: 3532kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 1ms
memory: 3784kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 1ms
memory: 3600kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3488kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed