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 |
---|---|---|---|---|---|---|---|---|---|
#359130 | #4812. Counting Sequence | james1BadCreeper | AC ✓ | 1430ms | 18312kb | C++14 | 1.2kb | 2024-03-20 13:30:20 | 2024-03-20 13:30:20 |
Judging History
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;
}
详细
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"