QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#262185 | #4812. Counting Sequence | zhouhuanyi | AC ✓ | 2451ms | 20132kb | C++14 | 1.4kb | 2023-11-23 16:26:59 | 2023-11-23 16:27:00 |
Judging History
answer
#include<iostream>
#include<cstdio>
#include<cmath>
#define M 2000
#define N 400000
#define mod 998244353
using namespace std;
int read()
{
char c=0;
int sum=0;
while (c<'0'||c>'9') c=getchar();
while ('0'<=c&&c<='9') sum=sum*10+c-'0',c=getchar();
return sum;
}
int n,w,op,Base,Base2,F[M+1],dp[2][N+1],dp2[M+1][M+1],ans;
void Adder(int &x,int d)
{
x+=d;
if (x>=mod) x-=mod;
return;
}
int main()
{
int st;
n=read(),w=read(),Base=sqrt(2*n),Base2=sqrt(2*n)+sqrt(n),dp[0][0]=1;
//st>Base
for (int i=0;i<=Base;++i) F[i]=(i*(i+1))>>1;
for (int i=1;i<=Base;++i)
{
for (int j=Base+1;j<=n;++j)
{
st=n-i*j+F[i-1];
if ((!(st&1))&&st>=0&&(st>>1)<=F[i-1]) Adder(ans,dp[op][st>>1]);
}
op^=1;
for (int j=0;j<=F[i];++j) dp[op][j]=0;
for (int j=0;j<=F[i];++j) Adder(dp[op][j],1ll*dp[!op][j]*w%mod);
for (int j=i;j<=F[i];++j) Adder(dp[op][j],dp[!op][j-i]);
}
//st<=Base
op=0;
for (int i=1;i<=n;++i)
{
op=(op+1)%(Base2+1);
for (int j=1;j<=min(i,Base2);++j) dp2[op][j]=0;
if (i<=Base) Adder(dp2[op][i],1);
for (int j=2;j<=min(i,Base2);++j) Adder(dp2[op][j],dp2[(op+Base2+1-j)%(Base2+1)][j-1]);
for (int j=1;j<=min(i,Base2-1);++j) Adder(dp2[op][j],1ll*dp2[(op+Base2+1-j)%(Base2+1)][j+1]*w%mod);
}
for (int i=1;i<=min(n,Base2);++i) Adder(ans,dp2[op][i]);
printf("%d\n",ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 7684kb
input:
5 3
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 0ms
memory: 5808kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 3ms
memory: 8104kb
input:
2022 39
output:
273239559
result:
ok 1 number(s): "273239559"
Test #4:
score: 0
Accepted
time: 1ms
memory: 5500kb
input:
1 998244352
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 1ms
memory: 5808kb
input:
1 12345678
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 1ms
memory: 7616kb
input:
20 998998
output:
643731701
result:
ok 1 number(s): "643731701"
Test #7:
score: 0
Accepted
time: 1ms
memory: 7944kb
input:
23 123
output:
947753998
result:
ok 1 number(s): "947753998"
Test #8:
score: 0
Accepted
time: 1ms
memory: 5616kb
input:
50 5555
output:
745339864
result:
ok 1 number(s): "745339864"
Test #9:
score: 0
Accepted
time: 0ms
memory: 5648kb
input:
60 6666
output:
690992218
result:
ok 1 number(s): "690992218"
Test #10:
score: 0
Accepted
time: 1ms
memory: 5596kb
input:
100 50
output:
169678588
result:
ok 1 number(s): "169678588"
Test #11:
score: 0
Accepted
time: 2ms
memory: 9740kb
input:
500 88888
output:
216149701
result:
ok 1 number(s): "216149701"
Test #12:
score: 0
Accepted
time: 0ms
memory: 8160kb
input:
1000 213456
output:
270989457
result:
ok 1 number(s): "270989457"
Test #13:
score: 0
Accepted
time: 3ms
memory: 8060kb
input:
2000 119988
output:
756425375
result:
ok 1 number(s): "756425375"
Test #14:
score: 0
Accepted
time: 2ms
memory: 8256kb
input:
3000 998244352
output:
71841227
result:
ok 1 number(s): "71841227"
Test #15:
score: 0
Accepted
time: 3ms
memory: 9884kb
input:
3000 555555555
output:
79880116
result:
ok 1 number(s): "79880116"
Test #16:
score: 0
Accepted
time: 5ms
memory: 8156kb
input:
4321 1234
output:
949603993
result:
ok 1 number(s): "949603993"
Test #17:
score: 0
Accepted
time: 7ms
memory: 8408kb
input:
5000 0
output:
5
result:
ok 1 number(s): "5"
Test #18:
score: 0
Accepted
time: 7ms
memory: 8460kb
input:
5000 88888777
output:
833064960
result:
ok 1 number(s): "833064960"
Test #19:
score: 0
Accepted
time: 3ms
memory: 8368kb
input:
5000 35557777
output:
696388498
result:
ok 1 number(s): "696388498"
Test #20:
score: 0
Accepted
time: 15ms
memory: 8312kb
input:
10000 123456
output:
434296902
result:
ok 1 number(s): "434296902"
Test #21:
score: 0
Accepted
time: 41ms
memory: 10856kb
input:
20000 555555
output:
34806915
result:
ok 1 number(s): "34806915"
Test #22:
score: 0
Accepted
time: 75ms
memory: 11252kb
input:
30000 777888999
output:
58443551
result:
ok 1 number(s): "58443551"
Test #23:
score: 0
Accepted
time: 151ms
memory: 10288kb
input:
50000 2
output:
90102905
result:
ok 1 number(s): "90102905"
Test #24:
score: 0
Accepted
time: 266ms
memory: 12644kb
input:
70000 77998866
output:
202638568
result:
ok 1 number(s): "202638568"
Test #25:
score: 0
Accepted
time: 449ms
memory: 12860kb
input:
100000 998244352
output:
360520717
result:
ok 1 number(s): "360520717"
Test #26:
score: 0
Accepted
time: 444ms
memory: 14180kb
input:
100000 555555555
output:
613886009
result:
ok 1 number(s): "613886009"
Test #27:
score: 0
Accepted
time: 842ms
memory: 15368kb
input:
150000 233333
output:
381065878
result:
ok 1 number(s): "381065878"
Test #28:
score: 0
Accepted
time: 833ms
memory: 15040kb
input:
150000 20050117
output:
269891864
result:
ok 1 number(s): "269891864"
Test #29:
score: 0
Accepted
time: 1268ms
memory: 16172kb
input:
200000 114514
output:
262861613
result:
ok 1 number(s): "262861613"
Test #30:
score: 0
Accepted
time: 1293ms
memory: 15344kb
input:
200000 1919810
output:
77872388
result:
ok 1 number(s): "77872388"
Test #31:
score: 0
Accepted
time: 2380ms
memory: 18012kb
input:
300000 0
output:
12
result:
ok 1 number(s): "12"
Test #32:
score: 0
Accepted
time: 2437ms
memory: 19800kb
input:
300000 1
output:
298803948
result:
ok 1 number(s): "298803948"
Test #33:
score: 0
Accepted
time: 2404ms
memory: 20132kb
input:
300000 2
output:
106751203
result:
ok 1 number(s): "106751203"
Test #34:
score: 0
Accepted
time: 2422ms
memory: 19852kb
input:
300000 1234
output:
427045479
result:
ok 1 number(s): "427045479"
Test #35:
score: 0
Accepted
time: 2343ms
memory: 18392kb
input:
300000 2345
output:
441593553
result:
ok 1 number(s): "441593553"
Test #36:
score: 0
Accepted
time: 2451ms
memory: 19832kb
input:
300000 20041115
output:
580367993
result:
ok 1 number(s): "580367993"
Test #37:
score: 0
Accepted
time: 2384ms
memory: 17548kb
input:
300000 20050117
output:
579859619
result:
ok 1 number(s): "579859619"
Test #38:
score: 0
Accepted
time: 2340ms
memory: 17984kb
input:
300000 22223333
output:
596066085
result:
ok 1 number(s): "596066085"
Test #39:
score: 0
Accepted
time: 2398ms
memory: 19800kb
input:
300000 175846372
output:
660364393
result:
ok 1 number(s): "660364393"
Test #40:
score: 0
Accepted
time: 2316ms
memory: 17968kb
input:
299999 9999999
output:
954865020
result:
ok 1 number(s): "954865020"
Test #41:
score: 0
Accepted
time: 2389ms
memory: 17728kb
input:
299998 55556666
output:
904862432
result:
ok 1 number(s): "904862432"
Test #42:
score: 0
Accepted
time: 1206ms
memory: 15368kb
input:
190733 31756136
output:
880544587
result:
ok 1 number(s): "880544587"
Test #43:
score: 0
Accepted
time: 1242ms
memory: 18004kb
input:
198497 463488298
output:
185220207
result:
ok 1 number(s): "185220207"
Test #44:
score: 0
Accepted
time: 2379ms
memory: 19828kb
input:
299997 0
output:
16
result:
ok 1 number(s): "16"
Test #45:
score: 0
Accepted
time: 976ms
memory: 15120kb
input:
168168 296157813
output:
798716760
result:
ok 1 number(s): "798716760"
Test #46:
score: 0
Accepted
time: 550ms
memory: 12940kb
input:
114514 1919810
output:
783513290
result:
ok 1 number(s): "783513290"