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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 |
---|---|---|---|---|---|---|---|---|---|
#74340 | #4812. Counting Sequence | 12345678 | AC ✓ | 10195ms | 45808kb | C++14 | 2.5kb | 2023-01-31 20:05:53 | 2023-01-31 20:05:54 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
//#define int long long
#define mp make_pair
#define inf 1e9
#define pii pair <int, int>
const int mod = 998244353;
inline int read () {
int x = 0, f = 1;
char ch = getchar ();
while (ch < '0' || ch > '9') f = ((ch == '-') ? -1 : f), ch = getchar ();
while (ch >= '0' && ch <= '9') x = x * 10 + ch - '0', ch = getchar ();
return x * f;
}
inline void write (int x) {
if (x < 0) x = -x, putchar ('-');
if (x >= 10) write (x / 10);
putchar (x % 10 + '0');
}
inline int quickmod (int x, int y) {
int Ans = 1;
while (y) {
if (y & 1) Ans = (1ll * Ans * x) % mod;
x = (1ll * x * x) % mod;
y >>= 1;
}
return Ans;
}
inline void Add(int &x, int y) {
x += y;
if(x >= mod) x -= mod;
}
inline int add(int x, int y) {
x += y;
if(x >= mod) x -= mod;
return x;
}
const int B = 800;
int n, c;
namespace Sub1 {
const int BL = 3000;
int f[BL+5][2*B+5][2];
int solve() {
int Ans = 0;
for(int i = 1; i <= B; i++) f[i][i][0] = 1;
int lst = 1, fl = 0;
for(int L = 1; L <= n; fl ^= 1) {
int R = min(n, L + BL - 1);
for(int i = 0; i <= BL + 1; i++) for(int j = 1; j <= 2 * B; j++) f[i][j][fl^1] = 0;
for(int i = L; i <= R; i++) {
for(int j = 1; j <= 2 * B; j++) {
if(j != 1 && i + j - 1 <= n) {
if(i + j - 1 <= R) Add(f[(i-L+1)+j-1][j-1][fl], 1ll * f[i-L+1][j][fl] * c % mod);
else Add(f[(i-R)+j-1][j-1][fl^1], 1ll * f[i-L+1][j][fl] * c % mod);
}
if(i + j + 1 <= n) {
if(i + j + 1 <= R) Add(f[(i-L+1)+j+1][j+1][fl], f[i-L+1][j][fl]);
else Add(f[(i-R)+j+1][j+1][fl^1], f[i-L+1][j][fl]);
}
}
}
lst = L, L = R + 1;
}
for(int i = 1; i <= 2 * B; i++) Add(Ans, f[n-lst+1][i][fl^1]);
return Ans;
}
};//fr <= B
namespace Sub2 {
int f[2][600005];
const int AD = 300000;
int solve() {
int Ans = (n > B);
f[0][AD] = 1;
for(int len = 1, fl = 0; len <= 1000; len++, fl ^= 1) {
for(int i = 0; i <= 2 * AD; i++) f[fl^1][i] = add((i >= len) ? f[fl][i-len] : 0, (i + len <= 2 * AD) ? 1ll * f[fl][i+len] * c % mod : 0);
for(int i = B + 1; i <= n; i++) {
int j = n - (len + 1) * i + AD;
if(j >= 0 && j <= 2 * AD) Add(Ans, f[fl^1][j]);
}
}
return Ans;
}
};//fr > B, len < n / B
signed main () {
// freopen (".in", "r", stdin);
// freopen (".out", "w", stdout);
n = read(), c = read();
write(add(Sub1 :: solve(), Sub2 :: solve())), putchar('\n');
return 0;
}
/*
300000 114514
*/
详细
Test #1:
score: 100
Accepted
time: 2299ms
memory: 45608kb
input:
5 3
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 1427ms
memory: 45628kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 2328ms
memory: 45652kb
input:
2022 39
output:
273239559
result:
ok 1 number(s): "273239559"
Test #4:
score: 0
Accepted
time: 2328ms
memory: 45672kb
input:
1 998244352
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 2313ms
memory: 45468kb
input:
1 12345678
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 2376ms
memory: 45804kb
input:
20 998998
output:
643731701
result:
ok 1 number(s): "643731701"
Test #7:
score: 0
Accepted
time: 2348ms
memory: 45536kb
input:
23 123
output:
947753998
result:
ok 1 number(s): "947753998"
Test #8:
score: 0
Accepted
time: 2376ms
memory: 45656kb
input:
50 5555
output:
745339864
result:
ok 1 number(s): "745339864"
Test #9:
score: 0
Accepted
time: 2308ms
memory: 45772kb
input:
60 6666
output:
690992218
result:
ok 1 number(s): "690992218"
Test #10:
score: 0
Accepted
time: 2351ms
memory: 45672kb
input:
100 50
output:
169678588
result:
ok 1 number(s): "169678588"
Test #11:
score: 0
Accepted
time: 2350ms
memory: 45608kb
input:
500 88888
output:
216149701
result:
ok 1 number(s): "216149701"
Test #12:
score: 0
Accepted
time: 2376ms
memory: 45664kb
input:
1000 213456
output:
270989457
result:
ok 1 number(s): "270989457"
Test #13:
score: 0
Accepted
time: 2430ms
memory: 45652kb
input:
2000 119988
output:
756425375
result:
ok 1 number(s): "756425375"
Test #14:
score: 0
Accepted
time: 2370ms
memory: 45776kb
input:
3000 998244352
output:
71841227
result:
ok 1 number(s): "71841227"
Test #15:
score: 0
Accepted
time: 2428ms
memory: 45676kb
input:
3000 555555555
output:
79880116
result:
ok 1 number(s): "79880116"
Test #16:
score: 0
Accepted
time: 2492ms
memory: 45608kb
input:
4321 1234
output:
949603993
result:
ok 1 number(s): "949603993"
Test #17:
score: 0
Accepted
time: 1603ms
memory: 45664kb
input:
5000 0
output:
5
result:
ok 1 number(s): "5"
Test #18:
score: 0
Accepted
time: 2516ms
memory: 45608kb
input:
5000 88888777
output:
833064960
result:
ok 1 number(s): "833064960"
Test #19:
score: 0
Accepted
time: 2558ms
memory: 45628kb
input:
5000 35557777
output:
696388498
result:
ok 1 number(s): "696388498"
Test #20:
score: 0
Accepted
time: 2633ms
memory: 45672kb
input:
10000 123456
output:
434296902
result:
ok 1 number(s): "434296902"
Test #21:
score: 0
Accepted
time: 2891ms
memory: 45560kb
input:
20000 555555
output:
34806915
result:
ok 1 number(s): "34806915"
Test #22:
score: 0
Accepted
time: 3155ms
memory: 45528kb
input:
30000 777888999
output:
58443551
result:
ok 1 number(s): "58443551"
Test #23:
score: 0
Accepted
time: 3706ms
memory: 45624kb
input:
50000 2
output:
90102905
result:
ok 1 number(s): "90102905"
Test #24:
score: 0
Accepted
time: 4154ms
memory: 45608kb
input:
70000 77998866
output:
202638568
result:
ok 1 number(s): "202638568"
Test #25:
score: 0
Accepted
time: 4886ms
memory: 45628kb
input:
100000 998244352
output:
360520717
result:
ok 1 number(s): "360520717"
Test #26:
score: 0
Accepted
time: 4918ms
memory: 45628kb
input:
100000 555555555
output:
613886009
result:
ok 1 number(s): "613886009"
Test #27:
score: 0
Accepted
time: 6267ms
memory: 45608kb
input:
150000 233333
output:
381065878
result:
ok 1 number(s): "381065878"
Test #28:
score: 0
Accepted
time: 6110ms
memory: 45536kb
input:
150000 20050117
output:
269891864
result:
ok 1 number(s): "269891864"
Test #29:
score: 0
Accepted
time: 7433ms
memory: 45656kb
input:
200000 114514
output:
262861613
result:
ok 1 number(s): "262861613"
Test #30:
score: 0
Accepted
time: 7485ms
memory: 45804kb
input:
200000 1919810
output:
77872388
result:
ok 1 number(s): "77872388"
Test #31:
score: 0
Accepted
time: 9181ms
memory: 45660kb
input:
300000 0
output:
12
result:
ok 1 number(s): "12"
Test #32:
score: 0
Accepted
time: 10047ms
memory: 45732kb
input:
300000 1
output:
298803948
result:
ok 1 number(s): "298803948"
Test #33:
score: 0
Accepted
time: 10008ms
memory: 45664kb
input:
300000 2
output:
106751203
result:
ok 1 number(s): "106751203"
Test #34:
score: 0
Accepted
time: 10026ms
memory: 45664kb
input:
300000 1234
output:
427045479
result:
ok 1 number(s): "427045479"
Test #35:
score: 0
Accepted
time: 10101ms
memory: 45780kb
input:
300000 2345
output:
441593553
result:
ok 1 number(s): "441593553"
Test #36:
score: 0
Accepted
time: 9791ms
memory: 45780kb
input:
300000 20041115
output:
580367993
result:
ok 1 number(s): "580367993"
Test #37:
score: 0
Accepted
time: 9875ms
memory: 45656kb
input:
300000 20050117
output:
579859619
result:
ok 1 number(s): "579859619"
Test #38:
score: 0
Accepted
time: 10195ms
memory: 45804kb
input:
300000 22223333
output:
596066085
result:
ok 1 number(s): "596066085"
Test #39:
score: 0
Accepted
time: 9988ms
memory: 45564kb
input:
300000 175846372
output:
660364393
result:
ok 1 number(s): "660364393"
Test #40:
score: 0
Accepted
time: 10120ms
memory: 45536kb
input:
299999 9999999
output:
954865020
result:
ok 1 number(s): "954865020"
Test #41:
score: 0
Accepted
time: 9758ms
memory: 45660kb
input:
299998 55556666
output:
904862432
result:
ok 1 number(s): "904862432"
Test #42:
score: 0
Accepted
time: 7406ms
memory: 45808kb
input:
190733 31756136
output:
880544587
result:
ok 1 number(s): "880544587"
Test #43:
score: 0
Accepted
time: 7779ms
memory: 45680kb
input:
198497 463488298
output:
185220207
result:
ok 1 number(s): "185220207"
Test #44:
score: 0
Accepted
time: 9162ms
memory: 45664kb
input:
299997 0
output:
16
result:
ok 1 number(s): "16"
Test #45:
score: 0
Accepted
time: 6690ms
memory: 45660kb
input:
168168 296157813
output:
798716760
result:
ok 1 number(s): "798716760"
Test #46:
score: 0
Accepted
time: 5208ms
memory: 45672kb
input:
114514 1919810
output:
783513290
result:
ok 1 number(s): "783513290"