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 |
---|---|---|---|---|---|---|---|---|---|
#706309 | #9479. And DNA | BalintR# | AC ✓ | 0ms | 3744kb | C++20 | 2.0kb | 2024-11-03 10:17:06 | 2024-11-03 10:17:07 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<pii> vpii;
#define pb push_back
#define fs first
#define sn second
#define ms(a, x) memset(a, x, sizeof(a))
#define SZ(v) ((int) (v).size())
#define ALL(v) begin(v), end(v)
const int INF = 0x3f3f3f3f;
#define FR(i, n) for(int i = 0; i < (n); i++)
#define FOR(i, a, b) for(int i = (a); i < (b); i++)
#define FORR(i, a, b) for(int i = (a); i >= (b); i--)
#define dbg(x){cerr << #x << ' ' << (x) << endl;}
#define dbgArr(arr, n){cerr << #arr; FR(_i, n) cerr << ' ' << (arr)[_i]; cerr << endl;}
template <class T, class U>
ostream& operator<<(ostream &os, pair<T, U> p){return os << "(" << p.fs << ", " << p.sn << ")";}
const int MOD = 998244353;
const int MN = 3;
typedef array<array<int, MN>, MN> Mat;
ostream& operator<<(ostream &os, Mat mat){
os << '\n';
FR(i, MN) FR(j, MN) os << mat[i][j] << " \n"[j == MN-1];
return os;
}
Mat operator*(const Mat &a, const Mat &b){
Mat res = {};
FR(i, MN) FR(j, MN) FR(k, MN) res[i][k] = (res[i][k] + (ll) a[i][j]*b[j][k]) % MOD;
return res;
}
Mat operator-(const Mat &a, const Mat &b){
Mat res = {};
FR(i, MN) FR(j, MN){
res[i][j] = a[i][j] - b[i][j];
if(res[i][j] < 0) res[i][j] += MOD;
}
return res;
}
ll h(ll n) {
Mat a{{{0,1,1},{1,0,0},{0,1,0}}};
Mat c{{{1,0,0},{1,0,0},{0,0,0}}};
for (; n > 0; n /= 2) {
if (n % 2) {
c = a * c;
}
a = a * a;
}
return c[2][0];
}
map<ll, ll> mf;
ll f(ll m, ll g){
if (mf.count(m)) return mf[m];
if (m % 2) {
return mf[m] = g*f((m-1)/2, g)%MOD;
} else {
return mf[m] = (f(m/2,g)+f(m/2-1,g)) % MOD;
}
}
ll g(ll n) {
if (n == 3) return 3;
return (h(n-1)+h(n-3)+2*h(n-4)) % MOD;
}
int main(){
cin.sync_with_stdio(0); cin.tie(0);
mf[0] = 1;
ll n,m; cin>>n>>m;
cout << f(m,g(n)) << "\n";
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3608kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3692kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3696kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3740kb
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: 3740kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3688kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3736kb
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: 3744kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3676kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3664kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3740kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3688kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3736kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed