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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 Sequence | Acestar | AC ✓ | 3525ms | 17428kb | C++14 | 1.1kb | 2023-01-22 23:39:17 | 2023-01-22 23:39:20 |
Judging History
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;
}
详细
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"