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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#359130#4812. Counting Sequencejames1BadCreeperAC ✓1430ms18312kbC++141.2kb2024-03-20 13:30:202024-03-20 13:30:20

Judging History

你现在查看的是最新测评结果

  • [2024-03-20 13:30:20]
  • 评测
  • 测评结果:AC
  • 用时:1430ms
  • 内存:18312kb
  • [2024-03-20 13:30:20]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int P = 998244353; 
const int N = 3e5 + 5, B = 800, T = 330; 

int n, c, ans; 
int f[(B + T) * 2][B + T], g[2][N * 2]; // sum = i, lst = j

int main(void) {
    ios::sync_with_stdio(0); 
    cin >> n >> c; 
    const int BB = (B + T) * 2; 
    for (int i = 1; i <= n; ++i) {
        int I = i % BB; 
        for (int j = 1; j <= min(i, B + T - 1); ++j) {
            f[I][j] = 0; 
            if (j > 1) f[I][j] = (f[I][j] + f[(I - j + BB) % BB][j - 1]) % P; 
            if (j + 1 < B + T) f[I][j] = (f[I][j] + 1ll * f[(I - j + BB) % BB][j + 1] * c) % P; 
        }
        if (i < B) f[i][i] = 1; 
    }
    for (int i = 1; i <= min(n, B + T - 1); ++i) ans = (ans + f[n % BB][i]) % P; 

    if (n >= B) ++ans; 
    g[1][0 + N] = 1; 
    for (int i = 2, now = 0; i * B <= n * 2; ++i, now ^= 1)
        for (int j = max(-i * (i - 1) / 2, -i * B + 1); j <= min(i * (i - 1) / 2, n - i * B); ++j) {
            g[now][j + N] = (g[now ^ 1][j - (i - 1) + N] + 1ll * c * g[now ^ 1][j + (i - 1) + N]) % P; 
            if ((n - j) % i == 0) ans = (ans + g[now][j + N]) % P; 
        }
    cout << ans << "\n"; 
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 7604kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 1ms
memory: 7748kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 6ms
memory: 17932kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 1ms
memory: 7652kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 1ms
memory: 5736kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 1ms
memory: 7612kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5644kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 1ms
memory: 7684kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 1ms
memory: 5644kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 1ms
memory: 5552kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 1ms
memory: 7668kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 0ms
memory: 11916kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 4ms
memory: 15852kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 8ms
memory: 16296kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 13ms
memory: 16640kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 16ms
memory: 18024kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 22ms
memory: 16316kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 22ms
memory: 16552kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 14ms
memory: 16860kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 48ms
memory: 14820kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 91ms
memory: 17228kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 137ms
memory: 17664kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 230ms
memory: 16188kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 310ms
memory: 18096kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 456ms
memory: 16812kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 454ms
memory: 17208kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 677ms
memory: 14948kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 693ms
memory: 17468kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 899ms
memory: 16600kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 908ms
memory: 18000kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 1430ms
memory: 17784kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: 0
Accepted
time: 1403ms
memory: 17880kb

input:

300000 1

output:

298803948

result:

ok 1 number(s): "298803948"

Test #33:

score: 0
Accepted
time: 1394ms
memory: 17596kb

input:

300000 2

output:

106751203

result:

ok 1 number(s): "106751203"

Test #34:

score: 0
Accepted
time: 1398ms
memory: 17992kb

input:

300000 1234

output:

427045479

result:

ok 1 number(s): "427045479"

Test #35:

score: 0
Accepted
time: 1398ms
memory: 16464kb

input:

300000 2345

output:

441593553

result:

ok 1 number(s): "441593553"

Test #36:

score: 0
Accepted
time: 1379ms
memory: 18044kb

input:

300000 20041115

output:

580367993

result:

ok 1 number(s): "580367993"

Test #37:

score: 0
Accepted
time: 1390ms
memory: 17316kb

input:

300000 20050117

output:

579859619

result:

ok 1 number(s): "579859619"

Test #38:

score: 0
Accepted
time: 1378ms
memory: 18312kb

input:

300000 22223333

output:

596066085

result:

ok 1 number(s): "596066085"

Test #39:

score: 0
Accepted
time: 1407ms
memory: 16288kb

input:

300000 175846372

output:

660364393

result:

ok 1 number(s): "660364393"

Test #40:

score: 0
Accepted
time: 1392ms
memory: 17188kb

input:

299999 9999999

output:

954865020

result:

ok 1 number(s): "954865020"

Test #41:

score: 0
Accepted
time: 1429ms
memory: 17864kb

input:

299998 55556666

output:

904862432

result:

ok 1 number(s): "904862432"

Test #42:

score: 0
Accepted
time: 865ms
memory: 16864kb

input:

190733 31756136

output:

880544587

result:

ok 1 number(s): "880544587"

Test #43:

score: 0
Accepted
time: 906ms
memory: 17940kb

input:

198497 463488298

output:

185220207

result:

ok 1 number(s): "185220207"

Test #44:

score: 0
Accepted
time: 1410ms
memory: 16312kb

input:

299997 0

output:

16

result:

ok 1 number(s): "16"

Test #45:

score: 0
Accepted
time: 767ms
memory: 17208kb

input:

168168 296157813

output:

798716760

result:

ok 1 number(s): "798716760"

Test #46:

score: 0
Accepted
time: 526ms
memory: 17700kb

input:

114514 1919810

output:

783513290

result:

ok 1 number(s): "783513290"