QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#659909 | #9479. And DNA | ucup-team3670# | AC ✓ | 0ms | 3784kb | C++20 | 2.5kb | 2024-10-19 23:12:08 | 2024-10-19 23:12:16 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define forn(i, n) for (int i = 0; i < int(n); i++)
#define fore(i, l, r) for (int i = int(l); i < int(r); i++)
#define sz(a) int((a).size())
typedef long long li;
const int MOD = 998244353;
int add(int a, int b){
a += b;
if (a >= MOD)
a -= MOD;
if (a < 0)
a += MOD;
return a;
}
int mul(int a, int b){
return a * 1ll * b % MOD;
}
int binpow(int a, int b){
int res = 1;
while (b){
if (b & 1)
res = mul(res, a);
a = mul(a, a);
b >>= 1;
}
return res;
}
const int N = 4;
typedef array<array<int, N>, N> mat;
mat operator *(const mat &a, const mat &b){
mat c;
forn(i, N) forn(j, N) c[i][j] = 0;
forn(i, N) forn(j, N) forn(k, N)
c[i][j] = add(c[i][j], mul(a[i][k], b[k][j]));
return c;
}
mat binpow(mat a, int b){
mat res;
forn(i, N) forn(j, N) res[i][j] = i == j;
while (b){
if (b & 1)
res = res * a;
a = a * a;
b >>= 1;
}
return res;
}
void solve() {
int n, m;
cin >> n >> m;
vector<int> opts(3);
forn(res, 3) forn(st1, 2) forn(st2, 2){
mat init;
forn(i, N) forn(j, N) init[i][j] = 0;
forn(i, 2) forn(j, 2) forn(k, 2){
if (j + (i & k) == res){
++init[i * 2 + j][j * 2 + k];
}
}
init = binpow(init, n - 2);
forn(i, 2) forn(j, 2){
if (j + (i & st1) == res && st1 + (j & st2) == res){
opts[res] = add(opts[res], init[st1 * 2 + st2][i * 2 + j]);
}
}
}
vector<vector<int>> dp(31, vector<int>(2));
dp[0][0] = 1;
forn(i, 30){
int c = (m >> i) & 1;
if (c == 0){
dp[i + 1][0] = add(dp[i + 1][0], mul(dp[i][0], opts[0]));
dp[i + 1][1] = add(dp[i + 1][1], mul(dp[i][0], opts[2]));
dp[i + 1][1] = add(dp[i + 1][1], mul(dp[i][1], opts[1]));
}
else{
dp[i + 1][0] = add(dp[i + 1][0], mul(dp[i][0], opts[1]));
dp[i + 1][0] = add(dp[i + 1][0], mul(dp[i][1], opts[0]));
dp[i + 1][1] = add(dp[i + 1][1], mul(dp[i][1], opts[2]));
}
}
cout << dp[30][0] << '\n';
}
int main() {
#ifdef _DEBUG
freopen("input.txt", "r", stdin);
#endif
ios_base::sync_with_stdio(false);
cin.tie(NULL);
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3596kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3556kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3464kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3468kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3584kb
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: 3528kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3516kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3560kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3724kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3540kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3532kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3536kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3524kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3532kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed