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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#359079#4812. Counting Sequencejames1BadCreeperML 1424ms866248kbC++141.0kb2024-03-20 12:15:402024-03-20 12:15:41

Judging History

你现在查看的是最新测评结果

  • [2024-03-20 12:15:41]
  • 评测
  • 测评结果:ML
  • 用时:1424ms
  • 内存:866248kb
  • [2024-03-20 12:15:40]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const int P = 998244353; 
const int N = 3e5 + 5, B = 800, T = 300; 

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

int main(void) {
    cin >> n >> c; 
    for (int i = 1; i <= min(n, B - 1); ++i) f[i][i] = 1; 
    for (int i = 2; i <= n; ++i) for (int j = 1; j <= min(i, B + T - 1); ++j) {
        if (j > 1) f[i][j] = (f[i][j] + f[i - j][j - 1]) % P; 
        if (j + 1 < B + T) f[i][j] = (f[i][j] + 1ll * f[i - j][j + 1] * c) % P; 
    }
    for (int i = 1; i <= min(n, B + T - 1); ++i) ans = (ans + f[n][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: 7724kb

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: 5ms
memory: 16124kb

input:

2022 39

output:

273239559

result:

ok 1 number(s): "273239559"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5748kb

input:

1 998244352

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 1ms
memory: 7800kb

input:

1 12345678

output:

1

result:

ok 1 number(s): "1"

Test #6:

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

input:

20 998998

output:

643731701

result:

ok 1 number(s): "643731701"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5628kb

input:

23 123

output:

947753998

result:

ok 1 number(s): "947753998"

Test #8:

score: 0
Accepted
time: 1ms
memory: 5684kb

input:

50 5555

output:

745339864

result:

ok 1 number(s): "745339864"

Test #9:

score: 0
Accepted
time: 1ms
memory: 7772kb

input:

60 6666

output:

690992218

result:

ok 1 number(s): "690992218"

Test #10:

score: 0
Accepted
time: 0ms
memory: 7736kb

input:

100 50

output:

169678588

result:

ok 1 number(s): "169678588"

Test #11:

score: 0
Accepted
time: 1ms
memory: 7736kb

input:

500 88888

output:

216149701

result:

ok 1 number(s): "216149701"

Test #12:

score: 0
Accepted
time: 0ms
memory: 10232kb

input:

1000 213456

output:

270989457

result:

ok 1 number(s): "270989457"

Test #13:

score: 0
Accepted
time: 4ms
memory: 15304kb

input:

2000 119988

output:

756425375

result:

ok 1 number(s): "756425375"

Test #14:

score: 0
Accepted
time: 13ms
memory: 20744kb

input:

3000 998244352

output:

71841227

result:

ok 1 number(s): "71841227"

Test #15:

score: 0
Accepted
time: 10ms
memory: 20000kb

input:

3000 555555555

output:

79880116

result:

ok 1 number(s): "79880116"

Test #16:

score: 0
Accepted
time: 18ms
memory: 25844kb

input:

4321 1234

output:

949603993

result:

ok 1 number(s): "949603993"

Test #17:

score: 0
Accepted
time: 22ms
memory: 29340kb

input:

5000 0

output:

5

result:

ok 1 number(s): "5"

Test #18:

score: 0
Accepted
time: 33ms
memory: 29044kb

input:

5000 88888777

output:

833064960

result:

ok 1 number(s): "833064960"

Test #19:

score: 0
Accepted
time: 24ms
memory: 28996kb

input:

5000 35557777

output:

696388498

result:

ok 1 number(s): "696388498"

Test #20:

score: 0
Accepted
time: 60ms
memory: 49772kb

input:

10000 123456

output:

434296902

result:

ok 1 number(s): "434296902"

Test #21:

score: 0
Accepted
time: 126ms
memory: 93764kb

input:

20000 555555

output:

34806915

result:

ok 1 number(s): "34806915"

Test #22:

score: 0
Accepted
time: 202ms
memory: 135756kb

input:

30000 777888999

output:

58443551

result:

ok 1 number(s): "58443551"

Test #23:

score: 0
Accepted
time: 349ms
memory: 219912kb

input:

50000 2

output:

90102905

result:

ok 1 number(s): "90102905"

Test #24:

score: 0
Accepted
time: 520ms
memory: 308696kb

input:

70000 77998866

output:

202638568

result:

ok 1 number(s): "202638568"

Test #25:

score: 0
Accepted
time: 720ms
memory: 437120kb

input:

100000 998244352

output:

360520717

result:

ok 1 number(s): "360520717"

Test #26:

score: 0
Accepted
time: 691ms
memory: 436072kb

input:

100000 555555555

output:

613886009

result:

ok 1 number(s): "613886009"

Test #27:

score: 0
Accepted
time: 1020ms
memory: 651092kb

input:

150000 233333

output:

381065878

result:

ok 1 number(s): "381065878"

Test #28:

score: 0
Accepted
time: 1048ms
memory: 649644kb

input:

150000 20050117

output:

269891864

result:

ok 1 number(s): "269891864"

Test #29:

score: 0
Accepted
time: 1417ms
memory: 864604kb

input:

200000 114514

output:

262861613

result:

ok 1 number(s): "262861613"

Test #30:

score: 0
Accepted
time: 1424ms
memory: 866248kb

input:

200000 1919810

output:

77872388

result:

ok 1 number(s): "77872388"

Test #31:

score: -100
Memory Limit Exceeded

input:

300000 0

output:

12

result: