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
#74076#4812. Counting SequenceKHINWA 246ms13308kbC++142.4kb2023-01-30 16:03:192023-01-30 16:03:22

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 16:03:22]
  • 评测
  • 测评结果:WA
  • 用时:246ms
  • 内存:13308kb
  • [2023-01-30 16:03:19]
  • 提交

answer

# include <cstdlib>
# 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 qpow(uint a, uint n) {
    uint r(1);
    while (n) {
      if (n & 0b1) r = 1ul * r * a % mod;
      a = 1ul * a * a % mod, n >>= 1;
    }
    return r;
  }
  constexpr uint inv(uint const x) { return qpow(x, mod - 2); }
  constexpr uint frac(uint const x, uint const y)
  { return 1ul * x * inv(y) % mod; }
  constexpr uint n_max(300'000), b(775);
  uint n; uint c; uint f[2 * b][2 * b], g[2][n_max];
  uint calc0() {
    uint const s(2 * b);
    for (uint i(1); i < b; ++i) f[i % s][i] = 1;
    for (uint i(1); i < n; ++i) {
      for (uint j(1); j < 2 * b; ++j) {
        uint const val(f[i % s][j]); if (!val) continue;
        if (j - 1) add_eq(f[(i + j - 1) % s][j - 1], 1ul * val * 1 % mod);
        if (j + 1) add_eq(f[(i + j + 1) % s][j + 1], 1ul * val * c % mod);
      }
      memset(f[i % s], 0x00, sizeof f[i % s]);
    }
    // uint const res(accumulate(f[n % s], f[n % s] + 2 * b, 0ul) % mod);
    // fprintf(stderr, "%s: %u\n", __func__, res);
    return accumulate(f[n % s], f[n % s] + 2 * b, 0ul) % mod;
  }
  uint calc1() {
    uint res(n >= b);
    g[0][0] = 1;
    for (uint i(1); i < b; ++i) {
      memset(g[i % 2], 0x00, sizeof g[i % 2]);
      for (uint j(0); j < n; ++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 + 0], 1ul * g[(i - 1) % 2][j] * c % mod);
      }
      for (uint j(b); j <= n; ++j) {
        uint const x(n - j * (i + 1));
        if (x % 2 != i * (i + 1) / 2 % 2) continue;
        uint const y((x + i * (i + 1) / 2) / 2);
        if (y < n) add_eq(res, g[i % 2][y]);
        if (y < n && g[i % 2][y] && j == b && false) {
          fprintf(stderr, "pow: %u\n", qpow(c, i - 3));
          fprintf(stderr, "pow: %u\n", qpow(c, i - 2));
          fprintf(stderr, "pow: %u\n", qpow(c, i - 1));
          fprintf(stderr, "%u %u %i %u\n", j, i, x, g[i % 2][y]);
        }
      }
    }
    // fprintf(stderr, "%s: %u\n", __func__, res);
    return res;
  }
  void main() {
    scanf("%u%u", &n, &c);
    printf("%u\n", (calc0() + calc1()) % mod);
  }
}

详细

Test #1:

score: 100
Accepted
time: 34ms
memory: 9340kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 35ms
memory: 9680kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 53ms
memory: 13280kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 34ms
memory: 10348kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 34ms
memory: 9088kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 41ms
memory: 9108kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 34ms
memory: 8876kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 38ms
memory: 10092kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 34ms
memory: 9824kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 30ms
memory: 9516kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 36ms
memory: 10256kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 39ms
memory: 12448kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 41ms
memory: 13268kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 47ms
memory: 13264kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 45ms
memory: 13284kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 67ms
memory: 13212kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 51ms
memory: 13308kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 68ms
memory: 13224kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 63ms
memory: 13212kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 99ms
memory: 13308kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 173ms
memory: 13212kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: -100
Wrong Answer
time: 246ms
memory: 13300kb

input:

30000 777888999

output:

41686115

result:

wrong answer 1st numbers differ - expected: '58443551', found: '41686115'