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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
#73193#4812. Counting SequenceAcestarAC ✓3525ms17428kbC++141.1kb2023-01-22 23:39:172023-01-22 23:39:20

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.
  • [2023-01-22 23:39:20]
  • 评测
  • 测评结果:AC
  • 用时:3525ms
  • 内存:17428kb
  • [2023-01-22 23:39:17]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

const int N = 3e5 + 5;
const int M = 800;
const int mod = 998244353;

int add(int x) {return x < mod ? x : x - mod;}

int n, c, B;
int f[M << 1][M << 1], g[2][N << 1], ans;

int main()
{
    cin >> n >> c;
    while(B * (B - 1) / 2 < n) B++;

    // a1 <= B
    int BB = 2 * B;
    for(int i = 1; i <= n; i++)
    {
        int I = i % BB;
        for(int j = 1; j <= min(i, BB); j++)
            f[I][j] = add(f[(I - j + BB) % BB][j - 1] + 1ll * f[(I - j + BB) % BB][j + 1] * c % mod);
        if(i < B) f[I][i]++;
    }
    for(int i = 1; i <= BB; i++) ans = add(ans + f[n % BB][i]);
    cerr << ans << '\n';

    // a1 > B
    if(B <= n) ans++;
    g[1][0 + N] = 1;
    for(int i = 2, I = 0; i * B <= 2 * n; i++, I ^= 1)
        for(int j = max(-i * (i + 1) / 2, -i * B + 1); j <= min(i * (i + 1) / 2, n - i * B); j++)
        {
            g[I][j + N] = add(g[!I][j - (i - 1) + N] + 1ll * g[!I][j + (i - 1) + N] * c % mod);
            if((n - j) % i == 0) ans = add(ans + g[I][j + N]);
        }
    cout << ans << '\n';
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 3ms
memory: 5472kb

input:

5 3

output:

8

result:

ok 1 number(s): "8"

Test #2:

score: 0
Accepted
time: 1ms
memory: 5448kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 2ms
memory: 3964kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5456kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 0ms
memory: 5380kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: 0
Accepted
time: 2ms
memory: 3356kb

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5664kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5460kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3468kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 2ms
memory: 5528kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 2ms
memory: 3740kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 4ms
memory: 7852kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 4ms
memory: 6148kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 6ms
memory: 7792kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 1ms
memory: 8156kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 8ms
memory: 8172kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 5ms
memory: 7712kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 6ms
memory: 8460kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 9ms
memory: 6320kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 22ms
memory: 6096kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 53ms
memory: 8516kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 99ms
memory: 8516kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 227ms
memory: 13384kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 360ms
memory: 12632kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 619ms
memory: 13304kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 631ms
memory: 13472kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 1145ms
memory: 11548kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 1169ms
memory: 15380kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 1801ms
memory: 15928kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 1746ms
memory: 15432kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: 0
Accepted
time: 3308ms
memory: 17424kb

input:

300000 0

output:

12

result:

ok 1 number(s): "12"

Test #32:

score: 0
Accepted
time: 3328ms
memory: 17428kb

input:

300000 1

output:

298803948

result:

ok 1 number(s): "298803948"

Test #33:

score: 0
Accepted
time: 3307ms
memory: 15588kb

input:

300000 2

output:

106751203

result:

ok 1 number(s): "106751203"

Test #34:

score: 0
Accepted
time: 3322ms
memory: 16656kb

input:

300000 1234

output:

427045479

result:

ok 1 number(s): "427045479"

Test #35:

score: 0
Accepted
time: 3337ms
memory: 16560kb

input:

300000 2345

output:

441593553

result:

ok 1 number(s): "441593553"

Test #36:

score: 0
Accepted
time: 3338ms
memory: 17428kb

input:

300000 20041115

output:

580367993

result:

ok 1 number(s): "580367993"

Test #37:

score: 0
Accepted
time: 3309ms
memory: 16852kb

input:

300000 20050117

output:

579859619

result:

ok 1 number(s): "579859619"

Test #38:

score: 0
Accepted
time: 3311ms
memory: 16536kb

input:

300000 22223333

output:

596066085

result:

ok 1 number(s): "596066085"

Test #39:

score: 0
Accepted
time: 3301ms
memory: 16368kb

input:

300000 175846372

output:

660364393

result:

ok 1 number(s): "660364393"

Test #40:

score: 0
Accepted
time: 3380ms
memory: 16700kb

input:

299999 9999999

output:

954865020

result:

ok 1 number(s): "954865020"

Test #41:

score: 0
Accepted
time: 3525ms
memory: 15548kb

input:

299998 55556666

output:

904862432

result:

ok 1 number(s): "904862432"

Test #42:

score: 0
Accepted
time: 1643ms
memory: 15452kb

input:

190733 31756136

output:

880544587

result:

ok 1 number(s): "880544587"

Test #43:

score: 0
Accepted
time: 1808ms
memory: 15616kb

input:

198497 463488298

output:

185220207

result:

ok 1 number(s): "185220207"

Test #44:

score: 0
Accepted
time: 3346ms
memory: 16744kb

input:

299997 0

output:

16

result:

ok 1 number(s): "16"

Test #45:

score: 0
Accepted
time: 1379ms
memory: 15344kb

input:

168168 296157813

output:

798716760

result:

ok 1 number(s): "798716760"

Test #46:

score: 0
Accepted
time: 773ms
memory: 13480kb

input:

114514 1919810

output:

783513290

result:

ok 1 number(s): "783513290"