QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#687106 | #9479. And DNA | real_sigma_team# | AC ✓ | 1ms | 3848kb | C++23 | 2.3kb | 2024-10-29 17:17:11 | 2024-10-29 17:17:11 |
Judging History
answer
#include<bits/stdc++.h>
const int mod = 998244353;
int add(int a, int b) {
return a + b >= mod ? a + b - mod : a + b;
}
int sub(int a, int b) {
return a >= b ? a - b : a + mod - b;
}
int mul(int a, int b) {
return 1ll * a * b % mod;
}
int power(int a, int b) {
int res = 1;
for (; b; b >>= 1, a = mul(a, a)) if (b & 1) res = mul(res, a);
return res;
}
int inv(int x) {
return x == 1 ? 1 : sub(0, mul(mod / x, inv(mod % x)));
}
std::vector<std::vector<int>> mul(std::vector<std::vector<int>> a,
std::vector<std::vector<int>> b) {
int n = a.size();
int m = a[0].size();
int k = b[0].size();
std::vector c(n, std::vector(k, 0));
for (int i = 0; i < n; ++i) {
for (int j = 0; j < m; ++j) {
for (int l = 0; l < k; ++l) {
c[i][l] = add(c[i][l], mul(a[i][j], b[j][l]));
}
}
}
return c;
}
std::vector<std::vector<int>> power(std::vector<std::vector<int>> a, int b) {
int n = a.size();
std::vector ret(n, std::vector(n, 0));
for (int i = 0; i < n; ++i) ret[i][i] = 1;
for (; b; b >>= 1, a = mul(a, a)) if (b & 1) ret = mul(ret, a);
return ret;
}
int main() {
std::cin.tie(nullptr)->sync_with_stdio(false);
int n, m;
std::cin >> n >> m;
std::vector cal(4, std::vector(4, 0));
for (int i = 0; i < 4; ++i) {
for (int z = 0; z < 2; ++z) {
int x = i & 1, y = i >> 1;
if ((x & z) + y == 1) {
cal[i][i / 2 + z * 2] = 1;
}
}
}
int shusha = 0;
for (int c = 0; c < 4; ++c) {
std::vector sheesh(1, std::vector(4, 0));
sheesh[0][c] = 1;
sheesh = mul(sheesh, power(cal, n - 2));
for (int i = 0; i < 4; ++i) {
int x = i & 1, y = i >> 1, z = c & 1, l = c >> 1;
if ((x & z) + y == 1 && (y & l) + z == 1) shusha = add(shusha, sheesh[0][i]);
}
}
std::array<int, 2> dp;
dp[0] = 1;
dp[1] = 0;
for (int i = 0; i <= 30; ++i) {
std::array<int, 2> nw = {0, 0};
for (int x = 0; x < 2; ++x) {
int c = (m >> i & 1) - x;
for (int q = 0; q <= 2; ++q) {
int v;
if (q == 1) v = shusha;
else v = 1;
int y = c - q;
// std::cout << i << ' ' << x << ' ' << q << ' ' << y << ' ' << v << ' ' << dp[x] << std::endl;
if (y % 2 != 0) continue;
y = -y / 2;
nw[y] = add(nw[y], mul(v, dp[x]));
}
}
dp = nw;
// std::cout << dp[0] << ' ' << dp[1] << std::endl;
}
std::cout << dp[0];
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3844kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3608kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3616kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 1ms
memory: 3588kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3648kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 0ms
memory: 3548kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3544kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3552kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 1ms
memory: 3848kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 1ms
memory: 3588kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3648kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed