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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#80674 | #4812. Counting Sequence | _UMqwq_ | AC ✓ | 2435ms | 19808kb | C++20 | 1.1kb | 2023-02-24 16:49:08 | 2023-02-24 16:49:12 |
Judging History
answer
#include<bits/stdc++.h>
#define p 998244353
#define MAXN 800010
#define MAXS 1610
using namespace std;
const int S=780;
const int mod=1600;
const int z=400005;
int add(int x,int y){return (x+y<p?x+y:x+y-p);}
int n,c,ans;
int f[2][MAXN],g[MAXS][MAXS];
signed main(){
scanf("%d%d",&n,&c);
int now=0,pre=1;f[0][z]=1;
for(int i=1;i<=S;i++){
now^=1;pre^=1;int lmt=i*(i-1)/2;
for(int j=z-lmt;j<=z+lmt;j++)f[now][j]=0;
for(int j=z-lmt;j<=z+lmt;j++){
if(i>1)f[now][j-i+1]=add(f[now][j-i+1],1ll*f[pre][j]*c%p);
f[now][j+i-1]=add(f[now][j+i-1],f[pre][j]);
}
for(int j=S;j<=n;j++){
int tmp=n-i*j;if(abs(tmp)>lmt)continue;
ans=add(ans,f[now][tmp+z]);//cerr<<i<<' '<<j<<' '<<f[now][tmp+z]<<endl;
}
}
for(int i=1;i<S;i++)g[i][i]=1;
for(int i=1;i<n;i++)
for(int j=1;j<=2*S;j++){
int now=i%mod,nxt=(i+j+1)%mod,val=g[now][j];//cerr<<i<<' '<<j<<' '<<g[now][j]<<endl;
g[now][j]=0;if(!val)continue;
g[nxt][j+1]=add(g[nxt][j+1],val);
if(j==1)continue;nxt=(i+j-1)%mod;
g[nxt][j-1]=add(g[nxt][j-1],1ll*val*c%p);
}
for(int i=1;i<=2*S;i++)ans=add(ans,g[n%mod][i]);
printf("%d",ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 336ms
memory: 15404kb
input:
5 3
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 339ms
memory: 14292kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 366ms
memory: 19092kb
input:
2022 39
output:
273239559
result:
ok 1 number(s): "273239559"
Test #4:
score: 0
Accepted
time: 338ms
memory: 14308kb
input:
1 998244352
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 343ms
memory: 14880kb
input:
1 12345678
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 346ms
memory: 17544kb
input:
20 998998
output:
643731701
result:
ok 1 number(s): "643731701"
Test #7:
score: 0
Accepted
time: 349ms
memory: 15096kb
input:
23 123
output:
947753998
result:
ok 1 number(s): "947753998"
Test #8:
score: 0
Accepted
time: 340ms
memory: 15160kb
input:
50 5555
output:
745339864
result:
ok 1 number(s): "745339864"
Test #9:
score: 0
Accepted
time: 335ms
memory: 15724kb
input:
60 6666
output:
690992218
result:
ok 1 number(s): "690992218"
Test #10:
score: 0
Accepted
time: 337ms
memory: 15528kb
input:
100 50
output:
169678588
result:
ok 1 number(s): "169678588"
Test #11:
score: 0
Accepted
time: 344ms
memory: 14488kb
input:
500 88888
output:
216149701
result:
ok 1 number(s): "216149701"
Test #12:
score: 0
Accepted
time: 356ms
memory: 18912kb
input:
1000 213456
output:
270989457
result:
ok 1 number(s): "270989457"
Test #13:
score: 0
Accepted
time: 338ms
memory: 19644kb
input:
2000 119988
output:
756425375
result:
ok 1 number(s): "756425375"
Test #14:
score: 0
Accepted
time: 358ms
memory: 19800kb
input:
3000 998244352
output:
71841227
result:
ok 1 number(s): "71841227"
Test #15:
score: 0
Accepted
time: 337ms
memory: 19136kb
input:
3000 555555555
output:
79880116
result:
ok 1 number(s): "79880116"
Test #16:
score: 0
Accepted
time: 347ms
memory: 19164kb
input:
4321 1234
output:
949603993
result:
ok 1 number(s): "949603993"
Test #17:
score: 0
Accepted
time: 341ms
memory: 19620kb
input:
5000 0
output:
5
result:
ok 1 number(s): "5"
Test #18:
score: 0
Accepted
time: 347ms
memory: 19164kb
input:
5000 88888777
output:
833064960
result:
ok 1 number(s): "833064960"
Test #19:
score: 0
Accepted
time: 356ms
memory: 19132kb
input:
5000 35557777
output:
696388498
result:
ok 1 number(s): "696388498"
Test #20:
score: 0
Accepted
time: 357ms
memory: 19804kb
input:
10000 123456
output:
434296902
result:
ok 1 number(s): "434296902"
Test #21:
score: 0
Accepted
time: 416ms
memory: 18848kb
input:
20000 555555
output:
34806915
result:
ok 1 number(s): "34806915"
Test #22:
score: 0
Accepted
time: 464ms
memory: 19604kb
input:
30000 777888999
output:
58443551
result:
ok 1 number(s): "58443551"
Test #23:
score: 0
Accepted
time: 617ms
memory: 19568kb
input:
50000 2
output:
90102905
result:
ok 1 number(s): "90102905"
Test #24:
score: 0
Accepted
time: 756ms
memory: 19108kb
input:
70000 77998866
output:
202638568
result:
ok 1 number(s): "202638568"
Test #25:
score: 0
Accepted
time: 938ms
memory: 19160kb
input:
100000 998244352
output:
360520717
result:
ok 1 number(s): "360520717"
Test #26:
score: 0
Accepted
time: 926ms
memory: 19784kb
input:
100000 555555555
output:
613886009
result:
ok 1 number(s): "613886009"
Test #27:
score: 0
Accepted
time: 1214ms
memory: 19116kb
input:
150000 233333
output:
381065878
result:
ok 1 number(s): "381065878"
Test #28:
score: 0
Accepted
time: 1238ms
memory: 19116kb
input:
150000 20050117
output:
269891864
result:
ok 1 number(s): "269891864"
Test #29:
score: 0
Accepted
time: 1545ms
memory: 19344kb
input:
200000 114514
output:
262861613
result:
ok 1 number(s): "262861613"
Test #30:
score: 0
Accepted
time: 1601ms
memory: 18908kb
input:
200000 1919810
output:
77872388
result:
ok 1 number(s): "77872388"
Test #31:
score: 0
Accepted
time: 852ms
memory: 19764kb
input:
300000 0
output:
12
result:
ok 1 number(s): "12"
Test #32:
score: 0
Accepted
time: 2260ms
memory: 19132kb
input:
300000 1
output:
298803948
result:
ok 1 number(s): "298803948"
Test #33:
score: 0
Accepted
time: 2321ms
memory: 19136kb
input:
300000 2
output:
106751203
result:
ok 1 number(s): "106751203"
Test #34:
score: 0
Accepted
time: 2372ms
memory: 19808kb
input:
300000 1234
output:
427045479
result:
ok 1 number(s): "427045479"
Test #35:
score: 0
Accepted
time: 2415ms
memory: 19564kb
input:
300000 2345
output:
441593553
result:
ok 1 number(s): "441593553"
Test #36:
score: 0
Accepted
time: 2366ms
memory: 18572kb
input:
300000 20041115
output:
580367993
result:
ok 1 number(s): "580367993"
Test #37:
score: 0
Accepted
time: 2273ms
memory: 19628kb
input:
300000 20050117
output:
579859619
result:
ok 1 number(s): "579859619"
Test #38:
score: 0
Accepted
time: 2303ms
memory: 19588kb
input:
300000 22223333
output:
596066085
result:
ok 1 number(s): "596066085"
Test #39:
score: 0
Accepted
time: 2280ms
memory: 19624kb
input:
300000 175846372
output:
660364393
result:
ok 1 number(s): "660364393"
Test #40:
score: 0
Accepted
time: 2435ms
memory: 19196kb
input:
299999 9999999
output:
954865020
result:
ok 1 number(s): "954865020"
Test #41:
score: 0
Accepted
time: 2225ms
memory: 19212kb
input:
299998 55556666
output:
904862432
result:
ok 1 number(s): "904862432"
Test #42:
score: 0
Accepted
time: 1463ms
memory: 19072kb
input:
190733 31756136
output:
880544587
result:
ok 1 number(s): "880544587"
Test #43:
score: 0
Accepted
time: 1545ms
memory: 19364kb
input:
198497 463488298
output:
185220207
result:
ok 1 number(s): "185220207"
Test #44:
score: 0
Accepted
time: 746ms
memory: 19520kb
input:
299997 0
output:
16
result:
ok 1 number(s): "16"
Test #45:
score: 0
Accepted
time: 1375ms
memory: 19196kb
input:
168168 296157813
output:
798716760
result:
ok 1 number(s): "798716760"
Test #46:
score: 0
Accepted
time: 1006ms
memory: 19628kb
input:
114514 1919810
output:
783513290
result:
ok 1 number(s): "783513290"