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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 SequenceKHINAC ✓2473ms15652kbC++141.5kb2023-01-30 17:24:332023-01-30 17:24:35

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-01-30 17:24:35]
  • 评测
  • 测评结果:AC
  • 用时:2473ms
  • 内存:15652kb
  • [2023-01-30 17:24:33]
  • 提交

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);
  }
}

詳細信息

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"