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 |
---|---|---|---|---|---|---|---|---|---|
#74100 | #4812. Counting Sequence | KHIN | AC ✓ | 2473ms | 15652kb | C++14 | 1.5kb | 2023-01-30 17:24:33 | 2023-01-30 17:24:35 |
Judging History
answer
# include <cstdlib>
# include <cassert>
# include <cstring>
# include <numeric>
# include <cstdio>
namespace khin {
using namespace std;
namespace main {
inline namespace source {}
namespace c { void main(); }
}
}
int main() { khin::main::c::main(); }
namespace khin::main::c {
constexpr uint mod(998'244'353);
constexpr uint& add_eq(uint& x, uint const y)
{ return x = x + y < mod ? x + y : x + y - mod; }
constexpr uint n_max(300'000), b(775);
uint n; uint c; uint f[2 * b][2 * b], g[2][2 * n_max + 1], ans;
void main() {
scanf("%u%u", &n, &c);
for (uint i(1); i < b; ++i) f[i][i] = 1;
for (uint i(1); i < n; ++i) {
for (uint j(1); j < 2 * b; ++j) {
uint const v(f[i % (2 * b)][j]); if (!v) continue;
if (j + 1) add_eq(f[(i + j + 1) % (2 * b)][j + 1], 1ul * v * 1 % mod);
if (j - 1) add_eq(f[(i + j - 1) % (2 * b)][j - 1], 1ul * v * c % mod);
}
memset(f[i % (2 * b)], 0x00, sizeof f[i % (2 * b)]);
}
ans = accumulate(f[n % (2 * b)], f[n % (2 * b)] + 2 * b, 0ul) % mod;
g[0][n_max] = 1, ans += n >= b;
for (uint i(1); i < b; ++i) {
memset(g[i % 2], 0x00, sizeof g[i % 2]);
for (uint j(0); j <= 2 * n_max; ++j) if (g[(i - 1) % 2][j]) {
add_eq(g[i % 2][j + i], 1ul * g[(i - 1) % 2][j] * 1 % mod);
add_eq(g[i % 2][j - i], 1ul * g[(i - 1) % 2][j] * c % mod);
}
for (uint j(b); j * (i + 1) <= n + n_max; ++j)
add_eq(ans, g[i % 2][n + n_max - j * (i + 1)]);
}
printf("%u\n", ans);
}
}
详细
Test #1:
score: 100
Accepted
time: 515ms
memory: 11940kb
input:
5 3
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 250ms
memory: 11604kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 455ms
memory: 15620kb
input:
2022 39
output:
273239559
result:
ok 1 number(s): "273239559"
Test #4:
score: 0
Accepted
time: 450ms
memory: 12444kb
input:
1 998244352
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 445ms
memory: 12488kb
input:
1 12345678
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 438ms
memory: 12276kb
input:
20 998998
output:
643731701
result:
ok 1 number(s): "643731701"
Test #7:
score: 0
Accepted
time: 443ms
memory: 12236kb
input:
23 123
output:
947753998
result:
ok 1 number(s): "947753998"
Test #8:
score: 0
Accepted
time: 444ms
memory: 12344kb
input:
50 5555
output:
745339864
result:
ok 1 number(s): "745339864"
Test #9:
score: 0
Accepted
time: 435ms
memory: 12664kb
input:
60 6666
output:
690992218
result:
ok 1 number(s): "690992218"
Test #10:
score: 0
Accepted
time: 442ms
memory: 11620kb
input:
100 50
output:
169678588
result:
ok 1 number(s): "169678588"
Test #11:
score: 0
Accepted
time: 480ms
memory: 12192kb
input:
500 88888
output:
216149701
result:
ok 1 number(s): "216149701"
Test #12:
score: 0
Accepted
time: 444ms
memory: 14844kb
input:
1000 213456
output:
270989457
result:
ok 1 number(s): "270989457"
Test #13:
score: 0
Accepted
time: 452ms
memory: 15564kb
input:
2000 119988
output:
756425375
result:
ok 1 number(s): "756425375"
Test #14:
score: 0
Accepted
time: 451ms
memory: 15632kb
input:
3000 998244352
output:
71841227
result:
ok 1 number(s): "71841227"
Test #15:
score: 0
Accepted
time: 447ms
memory: 15568kb
input:
3000 555555555
output:
79880116
result:
ok 1 number(s): "79880116"
Test #16:
score: 0
Accepted
time: 448ms
memory: 15640kb
input:
4321 1234
output:
949603993
result:
ok 1 number(s): "949603993"
Test #17:
score: 0
Accepted
time: 242ms
memory: 15648kb
input:
5000 0
output:
5
result:
ok 1 number(s): "5"
Test #18:
score: 0
Accepted
time: 452ms
memory: 15632kb
input:
5000 88888777
output:
833064960
result:
ok 1 number(s): "833064960"
Test #19:
score: 0
Accepted
time: 459ms
memory: 15636kb
input:
5000 35557777
output:
696388498
result:
ok 1 number(s): "696388498"
Test #20:
score: 0
Accepted
time: 477ms
memory: 15628kb
input:
10000 123456
output:
434296902
result:
ok 1 number(s): "434296902"
Test #21:
score: 0
Accepted
time: 514ms
memory: 15652kb
input:
20000 555555
output:
34806915
result:
ok 1 number(s): "34806915"
Test #22:
score: 0
Accepted
time: 567ms
memory: 15608kb
input:
30000 777888999
output:
58443551
result:
ok 1 number(s): "58443551"
Test #23:
score: 0
Accepted
time: 696ms
memory: 15556kb
input:
50000 2
output:
90102905
result:
ok 1 number(s): "90102905"
Test #24:
score: 0
Accepted
time: 808ms
memory: 15556kb
input:
70000 77998866
output:
202638568
result:
ok 1 number(s): "202638568"
Test #25:
score: 0
Accepted
time: 993ms
memory: 15652kb
input:
100000 998244352
output:
360520717
result:
ok 1 number(s): "360520717"
Test #26:
score: 0
Accepted
time: 992ms
memory: 15648kb
input:
100000 555555555
output:
613886009
result:
ok 1 number(s): "613886009"
Test #27:
score: 0
Accepted
time: 1322ms
memory: 15628kb
input:
150000 233333
output:
381065878
result:
ok 1 number(s): "381065878"
Test #28:
score: 0
Accepted
time: 1322ms
memory: 15624kb
input:
150000 20050117
output:
269891864
result:
ok 1 number(s): "269891864"
Test #29:
score: 0
Accepted
time: 1666ms
memory: 15564kb
input:
200000 114514
output:
262861613
result:
ok 1 number(s): "262861613"
Test #30:
score: 0
Accepted
time: 1634ms
memory: 15552kb
input:
200000 1919810
output:
77872388
result:
ok 1 number(s): "77872388"
Test #31:
score: 0
Accepted
time: 544ms
memory: 15644kb
input:
300000 0
output:
12
result:
ok 1 number(s): "12"
Test #32:
score: 0
Accepted
time: 2354ms
memory: 15644kb
input:
300000 1
output:
298803948
result:
ok 1 number(s): "298803948"
Test #33:
score: 0
Accepted
time: 2411ms
memory: 15644kb
input:
300000 2
output:
106751203
result:
ok 1 number(s): "106751203"
Test #34:
score: 0
Accepted
time: 2403ms
memory: 15628kb
input:
300000 1234
output:
427045479
result:
ok 1 number(s): "427045479"
Test #35:
score: 0
Accepted
time: 2427ms
memory: 15556kb
input:
300000 2345
output:
441593553
result:
ok 1 number(s): "441593553"
Test #36:
score: 0
Accepted
time: 2473ms
memory: 15652kb
input:
300000 20041115
output:
580367993
result:
ok 1 number(s): "580367993"
Test #37:
score: 0
Accepted
time: 2376ms
memory: 15652kb
input:
300000 20050117
output:
579859619
result:
ok 1 number(s): "579859619"
Test #38:
score: 0
Accepted
time: 2417ms
memory: 15628kb
input:
300000 22223333
output:
596066085
result:
ok 1 number(s): "596066085"
Test #39:
score: 0
Accepted
time: 2385ms
memory: 15644kb
input:
300000 175846372
output:
660364393
result:
ok 1 number(s): "660364393"
Test #40:
score: 0
Accepted
time: 2371ms
memory: 15604kb
input:
299999 9999999
output:
954865020
result:
ok 1 number(s): "954865020"
Test #41:
score: 0
Accepted
time: 2353ms
memory: 15624kb
input:
299998 55556666
output:
904862432
result:
ok 1 number(s): "904862432"
Test #42:
score: 0
Accepted
time: 1592ms
memory: 15648kb
input:
190733 31756136
output:
880544587
result:
ok 1 number(s): "880544587"
Test #43:
score: 0
Accepted
time: 1642ms
memory: 15556kb
input:
198497 463488298
output:
185220207
result:
ok 1 number(s): "185220207"
Test #44:
score: 0
Accepted
time: 549ms
memory: 15624kb
input:
299997 0
output:
16
result:
ok 1 number(s): "16"
Test #45:
score: 0
Accepted
time: 1475ms
memory: 15640kb
input:
168168 296157813
output:
798716760
result:
ok 1 number(s): "798716760"
Test #46:
score: 0
Accepted
time: 1076ms
memory: 15628kb
input:
114514 1919810
output:
783513290
result:
ok 1 number(s): "783513290"