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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 |
---|---|---|---|---|---|---|---|---|---|
#72787 | #4812. Counting Sequence | Macesuted | AC ✓ | 4086ms | 17788kb | C++14 | 1.6kb | 2023-01-19 10:53:51 | 2023-01-19 10:53:52 |
Judging History
answer
/**
* @file 4812.cpp
* @author Macesuted ([email protected])
* @date 2023-01-19
*
* @copyright Copyright (c) 2023
*
*/
#include <bits/stdc++.h>
using namespace std;
#ifndef LOCAL
#define endl '\n'
#endif
bool mem1;
#define maxn 300005
#define maxS 805
#define mod 998244353
int f[2][maxn << 1], g[maxS << 1][maxS << 1];
void solve(void) {
int n;
int64_t c, ans = 0;
cin >> n >> c;
int S = sqrt(2 * n) + 5;
f[1][0 + maxn] = 1;
if (S <= n) ans = 1;
for (int i = 2; i * S <= 2 * n; i++) {
bool t = i & 1;
for (int j = max(-i * (i + 1) / 2, -i * S + 1); j <= i * (i + 1) / 2 && i * S + j <= n; j++) {
f[t][j + maxn] = (f[!t][j - i + 1 + maxn] + f[!t][j + i - 1 + maxn] * c) % mod;
if ((n - j) % i == 0) ans = (ans + f[t][j + maxn]) % mod;
}
}
int T = 2 * S + 5;
for (int i = 1; i <= n; i++) {
int t = i % T;
for (int j = 1; j <= min(i, T); j++) {
g[t][j] = g[(t + T - j) % T][j + 1] * c % mod;
if (j > 1) g[t][j] = (g[t][j] + g[(t + T - j) % T][j - 1]) % mod;
}
if (i < S) g[t][i] = (g[t][i] + 1) % mod;
}
for (int j = 1; j <= T; j++) ans = (ans + g[n % T][j]) % mod;
cout << ans << endl;
return;
}
bool mem2;
int main() {
ios::sync_with_stdio(false), cin.tie(nullptr);
#ifdef LOCAL
cerr << "Memory Cost: " << abs(&mem1 - &mem2) / 1024. / 1024. << "MB" << endl;
#endif
int _ = 1;
while (_--) solve();
#ifdef LOCAL
cerr << "Time Cost: " << clock() * 1000. / CLOCKS_PER_SEC << "MS" << endl;
#endif
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 5404kb
input:
5 3
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 2ms
memory: 3340kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 8176kb
input:
2022 39
output:
273239559
result:
ok 1 number(s): "273239559"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3316kb
input:
1 998244352
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 2ms
memory: 3372kb
input:
1 12345678
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 3ms
memory: 7580kb
input:
20 998998
output:
643731701
result:
ok 1 number(s): "643731701"
Test #7:
score: 0
Accepted
time: 2ms
memory: 5548kb
input:
23 123
output:
947753998
result:
ok 1 number(s): "947753998"
Test #8:
score: 0
Accepted
time: 2ms
memory: 7672kb
input:
50 5555
output:
745339864
result:
ok 1 number(s): "745339864"
Test #9:
score: 0
Accepted
time: 1ms
memory: 9772kb
input:
60 6666
output:
690992218
result:
ok 1 number(s): "690992218"
Test #10:
score: 0
Accepted
time: 2ms
memory: 7632kb
input:
100 50
output:
169678588
result:
ok 1 number(s): "169678588"
Test #11:
score: 0
Accepted
time: 2ms
memory: 5736kb
input:
500 88888
output:
216149701
result:
ok 1 number(s): "216149701"
Test #12:
score: 0
Accepted
time: 1ms
memory: 8032kb
input:
1000 213456
output:
270989457
result:
ok 1 number(s): "270989457"
Test #13:
score: 0
Accepted
time: 5ms
memory: 8140kb
input:
2000 119988
output:
756425375
result:
ok 1 number(s): "756425375"
Test #14:
score: 0
Accepted
time: 7ms
memory: 9776kb
input:
3000 998244352
output:
71841227
result:
ok 1 number(s): "71841227"
Test #15:
score: 0
Accepted
time: 3ms
memory: 8056kb
input:
3000 555555555
output:
79880116
result:
ok 1 number(s): "79880116"
Test #16:
score: 0
Accepted
time: 5ms
memory: 8400kb
input:
4321 1234
output:
949603993
result:
ok 1 number(s): "949603993"
Test #17:
score: 0
Accepted
time: 8ms
memory: 8476kb
input:
5000 0
output:
5
result:
ok 1 number(s): "5"
Test #18:
score: 0
Accepted
time: 11ms
memory: 9712kb
input:
5000 88888777
output:
833064960
result:
ok 1 number(s): "833064960"
Test #19:
score: 0
Accepted
time: 8ms
memory: 8396kb
input:
5000 35557777
output:
696388498
result:
ok 1 number(s): "696388498"
Test #20:
score: 0
Accepted
time: 21ms
memory: 9664kb
input:
10000 123456
output:
434296902
result:
ok 1 number(s): "434296902"
Test #21:
score: 0
Accepted
time: 71ms
memory: 10948kb
input:
20000 555555
output:
34806915
result:
ok 1 number(s): "34806915"
Test #22:
score: 0
Accepted
time: 129ms
memory: 11328kb
input:
30000 777888999
output:
58443551
result:
ok 1 number(s): "58443551"
Test #23:
score: 0
Accepted
time: 265ms
memory: 12932kb
input:
50000 2
output:
90102905
result:
ok 1 number(s): "90102905"
Test #24:
score: 0
Accepted
time: 431ms
memory: 12952kb
input:
70000 77998866
output:
202638568
result:
ok 1 number(s): "202638568"
Test #25:
score: 0
Accepted
time: 735ms
memory: 15008kb
input:
100000 998244352
output:
360520717
result:
ok 1 number(s): "360520717"
Test #26:
score: 0
Accepted
time: 723ms
memory: 13804kb
input:
100000 555555555
output:
613886009
result:
ok 1 number(s): "613886009"
Test #27:
score: 0
Accepted
time: 1351ms
memory: 13280kb
input:
150000 233333
output:
381065878
result:
ok 1 number(s): "381065878"
Test #28:
score: 0
Accepted
time: 1382ms
memory: 13444kb
input:
150000 20050117
output:
269891864
result:
ok 1 number(s): "269891864"
Test #29:
score: 0
Accepted
time: 2137ms
memory: 17168kb
input:
200000 114514
output:
262861613
result:
ok 1 number(s): "262861613"
Test #30:
score: 0
Accepted
time: 2110ms
memory: 15684kb
input:
200000 1919810
output:
77872388
result:
ok 1 number(s): "77872388"
Test #31:
score: 0
Accepted
time: 3877ms
memory: 16684kb
input:
300000 0
output:
12
result:
ok 1 number(s): "12"
Test #32:
score: 0
Accepted
time: 3891ms
memory: 16664kb
input:
300000 1
output:
298803948
result:
ok 1 number(s): "298803948"
Test #33:
score: 0
Accepted
time: 3892ms
memory: 17192kb
input:
300000 2
output:
106751203
result:
ok 1 number(s): "106751203"
Test #34:
score: 0
Accepted
time: 3793ms
memory: 17712kb
input:
300000 1234
output:
427045479
result:
ok 1 number(s): "427045479"
Test #35:
score: 0
Accepted
time: 3935ms
memory: 17224kb
input:
300000 2345
output:
441593553
result:
ok 1 number(s): "441593553"
Test #36:
score: 0
Accepted
time: 4052ms
memory: 17584kb
input:
300000 20041115
output:
580367993
result:
ok 1 number(s): "580367993"
Test #37:
score: 0
Accepted
time: 4086ms
memory: 17560kb
input:
300000 20050117
output:
579859619
result:
ok 1 number(s): "579859619"
Test #38:
score: 0
Accepted
time: 3933ms
memory: 16600kb
input:
300000 22223333
output:
596066085
result:
ok 1 number(s): "596066085"
Test #39:
score: 0
Accepted
time: 3894ms
memory: 17380kb
input:
300000 175846372
output:
660364393
result:
ok 1 number(s): "660364393"
Test #40:
score: 0
Accepted
time: 3810ms
memory: 17788kb
input:
299999 9999999
output:
954865020
result:
ok 1 number(s): "954865020"
Test #41:
score: 0
Accepted
time: 3894ms
memory: 17520kb
input:
299998 55556666
output:
904862432
result:
ok 1 number(s): "904862432"
Test #42:
score: 0
Accepted
time: 2004ms
memory: 17200kb
input:
190733 31756136
output:
880544587
result:
ok 1 number(s): "880544587"
Test #43:
score: 0
Accepted
time: 2072ms
memory: 15536kb
input:
198497 463488298
output:
185220207
result:
ok 1 number(s): "185220207"
Test #44:
score: 0
Accepted
time: 3879ms
memory: 16664kb
input:
299997 0
output:
16
result:
ok 1 number(s): "16"
Test #45:
score: 0
Accepted
time: 1591ms
memory: 15536kb
input:
168168 296157813
output:
798716760
result:
ok 1 number(s): "798716760"
Test #46:
score: 0
Accepted
time: 915ms
memory: 15668kb
input:
114514 1919810
output:
783513290
result:
ok 1 number(s): "783513290"