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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 |
---|---|---|---|---|---|---|---|---|---|
#74336 | #4812. Counting Sequence | Reanap | AC ✓ | 8626ms | 28544kb | C++14 | 2.5kb | 2023-01-31 19:25:47 | 2023-01-31 19:25:49 |
Judging History
answer
#include <set>
#include <map>
#include <cmath>
#include <queue>
#include <cstdio>
#include <cassert>
#include <cstring>
#include <iostream>
#include <algorithm>
#define pii pair <int , int>
#define pll pair <LL , LL>
#define mp make_pair
#define fs first
#define sc second
using namespace std;
typedef long long LL;
//const int Mxdt=100000;
//static char buf[Mxdt],*p1=buf,*p2=buf;
//#define getchar() p1==p2&&(p2=(p1=buf)+fread(buf,1,Mxdt,stdin),p1==p2)?EOF:*p1++;
template <typename T>
void read(T &x) {
T f=1;x=0;char s=getchar();
while(s<'0'||s>'9') {if(s=='-') f=-1;s=getchar();}
while(s>='0'&&s<='9') {x=(x<<3)+(x<<1)+(s^'0');s=getchar();}
x *= f;
}
template <typename T>
void write(T x , char s='\n') {
if(!x) {putchar('0');putchar(s);return;}
if(x<0) {putchar('-');x=-x;}
T t = 0 , tmp[25] = {};
while(x) tmp[t ++] = x % 10 , x /= 10;
while(t -- > 0) putchar(tmp[t] + '0');
putchar(s);
}
const int MAXN = 3e5 + 5;
const int B = 800;
const int mod = 998244353;
inline int Add(int x , int y) {x += y;return x >= mod?x - mod:x;}
inline int Sub(int x , int y) {x -= y;return x < 0?x + mod:x;}
inline int Mul(int x , int y) {return 1ll * x * y % mod;}
inline int qpow(int a , int b) {
int res = 1;
while(b) {
if(b & 1) res = Mul(res , a);
a = Mul(a , a);
b >>= 1;
}
return res;
}
int f[(B << 2) + 5][(B << 1) + 5] , n , c;
inline int Get(int x) {
return (x % (B << 2));
}
int g[2][B * (B + 1) + 5];
int main() {
read(n),read(c);
for (int i = 1; i <= B; ++i) f[i][i] = 1;
for (int i = 1; i < n; ++i) {
int cur = Get(i);
for (int j = 1; j <= B * 2; ++j) if(i + j - 1 <= n) {
if(j > 1 && i + j - 1 <= n) f[Get(i + j - 1)][j - 1] = Add(f[Get(i + j - 1)][j - 1] , Mul(c , f[cur][j]));
if(j < B * 2 && i + j + 1 <= n) f[Get(i + j + 1)][j + 1] = Add(f[Get(i + j + 1)][j + 1] , f[cur][j]);
f[cur][j] = 0;
}
}
int ans = 0;
for (int j = 1; j <= B * 2; ++j) ans = Add(ans , f[Get(n)][j]);
int Z = B * (B + 1) / 2;
g[1][Z] = 1;
if(n > B) ans = Add(ans , 1);
int lim = B * (B + 1);
for (int i = 2; i <= B; ++i) {
for (int j = 0; j <= lim; ++j) {
g[i & 1][j] = 0;
if(j >= i) g[i & 1][j] = Add(g[i & 1][j] , g[(i - 1) & 1][j - (i - 1)]);
if(j + i <= lim) g[i & 1][j] = Add(g[i & 1][j] , Mul(g[(i - 1) & 1][j + (i - 1)] , c));
}
for (int j = B + 1; j <= n; ++j) if(n - j * i + Z <= lim && n - j * i + Z >= 0) ans = Add(ans , g[i & 1][n - j * i + Z]);
}
write(ans);
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 2248ms
memory: 14996kb
input:
5 3
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 1678ms
memory: 14824kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 2232ms
memory: 20964kb
input:
2022 39
output:
273239559
result:
ok 1 number(s): "273239559"
Test #4:
score: 0
Accepted
time: 2144ms
memory: 15340kb
input:
1 998244352
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 2204ms
memory: 13604kb
input:
1 12345678
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 2260ms
memory: 14632kb
input:
20 998998
output:
643731701
result:
ok 1 number(s): "643731701"
Test #7:
score: 0
Accepted
time: 2209ms
memory: 15264kb
input:
23 123
output:
947753998
result:
ok 1 number(s): "947753998"
Test #8:
score: 0
Accepted
time: 2702ms
memory: 13460kb
input:
50 5555
output:
745339864
result:
ok 1 number(s): "745339864"
Test #9:
score: 0
Accepted
time: 2207ms
memory: 14236kb
input:
60 6666
output:
690992218
result:
ok 1 number(s): "690992218"
Test #10:
score: 0
Accepted
time: 2228ms
memory: 13668kb
input:
100 50
output:
169678588
result:
ok 1 number(s): "169678588"
Test #11:
score: 0
Accepted
time: 2224ms
memory: 14988kb
input:
500 88888
output:
216149701
result:
ok 1 number(s): "216149701"
Test #12:
score: 0
Accepted
time: 2272ms
memory: 14748kb
input:
1000 213456
output:
270989457
result:
ok 1 number(s): "270989457"
Test #13:
score: 0
Accepted
time: 2290ms
memory: 20876kb
input:
2000 119988
output:
756425375
result:
ok 1 number(s): "756425375"
Test #14:
score: 0
Accepted
time: 2184ms
memory: 27272kb
input:
3000 998244352
output:
71841227
result:
ok 1 number(s): "71841227"
Test #15:
score: 0
Accepted
time: 2252ms
memory: 27292kb
input:
3000 555555555
output:
79880116
result:
ok 1 number(s): "79880116"
Test #16:
score: 0
Accepted
time: 2396ms
memory: 28344kb
input:
4321 1234
output:
949603993
result:
ok 1 number(s): "949603993"
Test #17:
score: 0
Accepted
time: 1820ms
memory: 28296kb
input:
5000 0
output:
5
result:
ok 1 number(s): "5"
Test #18:
score: 0
Accepted
time: 2409ms
memory: 28540kb
input:
5000 88888777
output:
833064960
result:
ok 1 number(s): "833064960"
Test #19:
score: 0
Accepted
time: 2414ms
memory: 28544kb
input:
5000 35557777
output:
696388498
result:
ok 1 number(s): "696388498"
Test #20:
score: 0
Accepted
time: 2500ms
memory: 28268kb
input:
10000 123456
output:
434296902
result:
ok 1 number(s): "434296902"
Test #21:
score: 0
Accepted
time: 2620ms
memory: 28364kb
input:
20000 555555
output:
34806915
result:
ok 1 number(s): "34806915"
Test #22:
score: 0
Accepted
time: 2987ms
memory: 28348kb
input:
30000 777888999
output:
58443551
result:
ok 1 number(s): "58443551"
Test #23:
score: 0
Accepted
time: 3224ms
memory: 28464kb
input:
50000 2
output:
90102905
result:
ok 1 number(s): "90102905"
Test #24:
score: 0
Accepted
time: 3662ms
memory: 28364kb
input:
70000 77998866
output:
202638568
result:
ok 1 number(s): "202638568"
Test #25:
score: 0
Accepted
time: 4222ms
memory: 28396kb
input:
100000 998244352
output:
360520717
result:
ok 1 number(s): "360520717"
Test #26:
score: 0
Accepted
time: 4621ms
memory: 28344kb
input:
100000 555555555
output:
613886009
result:
ok 1 number(s): "613886009"
Test #27:
score: 0
Accepted
time: 5648ms
memory: 28540kb
input:
150000 233333
output:
381065878
result:
ok 1 number(s): "381065878"
Test #28:
score: 0
Accepted
time: 5348ms
memory: 28396kb
input:
150000 20050117
output:
269891864
result:
ok 1 number(s): "269891864"
Test #29:
score: 0
Accepted
time: 6236ms
memory: 28364kb
input:
200000 114514
output:
262861613
result:
ok 1 number(s): "262861613"
Test #30:
score: 0
Accepted
time: 6197ms
memory: 28396kb
input:
200000 1919810
output:
77872388
result:
ok 1 number(s): "77872388"
Test #31:
score: 0
Accepted
time: 7819ms
memory: 28536kb
input:
300000 0
output:
12
result:
ok 1 number(s): "12"
Test #32:
score: 0
Accepted
time: 7905ms
memory: 28388kb
input:
300000 1
output:
298803948
result:
ok 1 number(s): "298803948"
Test #33:
score: 0
Accepted
time: 7880ms
memory: 28300kb
input:
300000 2
output:
106751203
result:
ok 1 number(s): "106751203"
Test #34:
score: 0
Accepted
time: 8016ms
memory: 28344kb
input:
300000 1234
output:
427045479
result:
ok 1 number(s): "427045479"
Test #35:
score: 0
Accepted
time: 8521ms
memory: 28368kb
input:
300000 2345
output:
441593553
result:
ok 1 number(s): "441593553"
Test #36:
score: 0
Accepted
time: 8412ms
memory: 28544kb
input:
300000 20041115
output:
580367993
result:
ok 1 number(s): "580367993"
Test #37:
score: 0
Accepted
time: 8626ms
memory: 28392kb
input:
300000 20050117
output:
579859619
result:
ok 1 number(s): "579859619"
Test #38:
score: 0
Accepted
time: 8219ms
memory: 28468kb
input:
300000 22223333
output:
596066085
result:
ok 1 number(s): "596066085"
Test #39:
score: 0
Accepted
time: 8328ms
memory: 28392kb
input:
300000 175846372
output:
660364393
result:
ok 1 number(s): "660364393"
Test #40:
score: 0
Accepted
time: 8363ms
memory: 28468kb
input:
299999 9999999
output:
954865020
result:
ok 1 number(s): "954865020"
Test #41:
score: 0
Accepted
time: 8262ms
memory: 28296kb
input:
299998 55556666
output:
904862432
result:
ok 1 number(s): "904862432"
Test #42:
score: 0
Accepted
time: 6000ms
memory: 28360kb
input:
190733 31756136
output:
880544587
result:
ok 1 number(s): "880544587"
Test #43:
score: 0
Accepted
time: 6301ms
memory: 28344kb
input:
198497 463488298
output:
185220207
result:
ok 1 number(s): "185220207"
Test #44:
score: 0
Accepted
time: 8234ms
memory: 28540kb
input:
299997 0
output:
16
result:
ok 1 number(s): "16"
Test #45:
score: 0
Accepted
time: 5670ms
memory: 28512kb
input:
168168 296157813
output:
798716760
result:
ok 1 number(s): "798716760"
Test #46:
score: 0
Accepted
time: 4606ms
memory: 28508kb
input:
114514 1919810
output:
783513290
result:
ok 1 number(s): "783513290"