QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#767592 | #9479. And DNA | K8He | AC ✓ | 1ms | 3960kb | C++14 | 3.0kb | 2024-11-20 21:21:52 | 2024-11-20 21:21:52 |
Judging History
answer
#include <bits/stdc++.h>
#define _for(i, a, b) for (int i = a; i <= b; ++i)
#define for_(i, a, b) for (int i = a; i >= b; --i)
#define far(i, vec) for (auto i : vec)
#define bdmd int mid = (l + r) >> 1
typedef long double ldb;
typedef long long ll;
typedef double db;
typedef std::pair <int, int> pii;
typedef std::pair <ll, ll> pll;
const int N = 1e5 + 10, P = 998244353;
namespace IO {
int rnt () {
int x = 0, w = 1; char c = getchar ();
while (!isdigit (c)) { if (c == '-') w = -1; c = getchar (); }
while (isdigit (c)) x = (x << 3) + (x << 1) + (c ^ 48), c = getchar ();
return x * w;
}
}
namespace MATRIX {
template <const int N, const int M, typename T = int, class C1 = std::plus <T>, class C2 = std::multiplies <T> >
class Matrix {
private:
std::array <std::array <T, M>, N> a;
public:
Matrix (T val = 0) { far (&b, a) b.fill (val); }
Matrix (std::array <std::array <T, M>, N> a) : a (a) {}
std::array <T, M>& operator [] (int i) { return a[i]; }
void Print (int n = N, int m = M) {
_for (i, 0, n - 1) {
_for (j, 0, m - 1)
printf ("%d ", a[i][j]);
puts ("");
}
puts ("");
return;
}
};
template <const int N, const int K, const int M, typename T = int, class C1 = std::plus <T>, class C2 = std::multiplies <T>>
Matrix <N, M, T, C1, C2> operator * (Matrix <N, K, T, C1, C2> A, Matrix <K, M, T, C1, C2> B) {
Matrix <N, M, T, C1, C2> C;
_for (i, 0, N - 1) _for (k, 0, K - 1) _for (j, 0, M - 1)
C[i][j] = C1 () (C[i][j], C2 () (A[i][k], B[k][j]));
return C;
}
template <const int N, typename T, typename C1, typename C2>
void IMat (Matrix <N, N, T, C1, C2>& I) {
_for (i, 0, N - 1) {
_for (j, 0, N - 1)
I[i][j] = 0;
I[i][i] = 1;
}
return;
}
template <const int N, typename T = int, class C1 = std::plus <T>, class C2 = std::multiplies <T>, typename KT>
Matrix <N, N, T, C1, C2> operator ^ (Matrix <N, N, T, C1, C2> a, KT K) {
Matrix <N, N, T, C1, C2> ans; IMat (ans);
for (; K; a = a * a, K >>= 1)
if (K & 1) ans = ans * a;
return ans;
}
template <typename T> class PlusMod { public: T operator () (T a, T b) { return (a + b) % P; }};
template <typename T> class MultMod { public: T operator () (T a, T b) { return 1ll * a * b % P; }};
}
namespace SOLVE {
using namespace IO;
using namespace MATRIX;
typedef Matrix <3, 3, int, PlusMod <int>, MultMod <int> > Mat4;
int n, m, F[31][2], ans;
void In () {
n = rnt (), m = rnt ();
return;
}
void Solve () {
Mat4 A (0);
A[0][1] = 1, A[1][0] = 1;
A[0][2] = 1, A[2][1] = 1;
A = A ^ n;
int S = (0ll + A[0][0] + A[1][1] + A[2][2]) % P;
if (m & 1) F[0][0] = S, F[0][1] = 0;
else F[0][0] = F[0][1] = 1;
_for (b, 1, 30) {
int k = (m >> b) & 1;
F[b][k] = F[b - 1][k];
F[b][k ^ 1] = (F[b - 1][k] + 1ll * F[b - 1][k ^ 1] * S) % P;
}
return;
}
void Out () {
printf ("%d\n", F[30][0]);
return;
}
}
int main () {
SOLVE::In ();
SOLVE::Solve ();
SOLVE::Out ();
return 0;
} /*
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3832kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3832kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3960kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3836kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 1ms
memory: 3836kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3840kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 1ms
memory: 3816kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 1ms
memory: 3776kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3892kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3956kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3896kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 1ms
memory: 3776kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 1ms
memory: 3840kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed