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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#72258 | #4812. Counting Sequence | JinTianHao | ML | 2052ms | 711264kb | C++17 | 1.6kb | 2023-01-15 11:35:56 | 2023-01-15 11:35:57 |
Judging History
answer
#include <bits/stdc++.h>
#define inf 1000000007
#define mod 998244353
// #define int long long
// #pragma GCC optimize("Ofast","inline","-ffast-math")
// #pragma GCC target("avx,sse2,sse3,sse4,mmx")
using namespace std;
template <typename T> void read(T &x){
x=0;char ch=getchar();int fh=1;
while (ch<'0'||ch>'9'){if (ch=='-')fh=-1;ch=getchar();}
while (ch>='0'&&ch<='9')x=x*10+ch-'0',ch=getchar();
x*=fh;
}
template <typename T> void write(T x) {
if (x<0) x=-x,putchar('-');
if (x>9) write(x/10);
putchar(x%10+'0');
}
template <typename T> void writeln(T x) {
write(x);
puts("");
}
int n,c,siz,ans;
int dp1[2][600005];
int dp2[300005][900];
signed main()
{
// freopen(".in","r",stdin);
// freopen(".out","w",stdout);
read(n);read(c);
siz=sqrt(2*n)-10;siz=max(siz,0);
while((siz+2)*(siz+1)<=2*n) ++siz;
dp1[1][n]=1;
for(int i=1;i<siz;++i)
{
for(int j=0;j<=2*n;++j)
dp1[i&1^1][j]=0;
for(int j=0;j<=2*n;++j)
{
//add <
(dp1[i&1^1][j+i]+=dp1[i&1][j])%=mod;
//add >
(dp1[i&1^1][j-i]+=1ll*c*dp1[i&1][j]%mod)%=mod;
}
for(int a=siz+1;a<=n;++a)
{
int sum=2*n-a*i;
if(sum>=0&&sum<=2*n) (ans+=dp1[i&1][sum])%=mod;
}
}
for(int i=1;i<=n;++i)
{
if(i<=siz) (dp2[i][i]+=1)%=mod;
for(int j=1;j<900;++j)
{
if(i+j-1<=n&&j>1) (dp2[i+j-1][j-1]+=1ll*c*dp2[i][j]%mod)%=mod;
if(i+j+1<=n&&j<899) (dp2[i+j+1][j+1]+=dp2[i][j])%=mod;
}
}
for(int i=1;i<900;++i)
(ans+=dp2[n][i])%=mod;
for(int a=siz+1;a<=n;++a)
for(int m=siz;m<=siz;++m)
{
int sum=2*n-a*m;
if(sum>=0&&sum<=2*n) (ans+=dp1[m&1][sum])%=mod;
}
writeln(ans);
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 7640kb
input:
5 3
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: 0
Accepted
time: 2ms
memory: 5400kb
input:
1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 15ms
memory: 14616kb
input:
2022 39
output:
273239559
result:
ok 1 number(s): "273239559"
Test #4:
score: 0
Accepted
time: 2ms
memory: 5372kb
input:
1 998244352
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 2ms
memory: 5276kb
input:
1 12345678
output:
1
result:
ok 1 number(s): "1"
Test #6:
score: 0
Accepted
time: 3ms
memory: 7576kb
input:
20 998998
output:
643731701
result:
ok 1 number(s): "643731701"
Test #7:
score: 0
Accepted
time: 3ms
memory: 7504kb
input:
23 123
output:
947753998
result:
ok 1 number(s): "947753998"
Test #8:
score: 0
Accepted
time: 3ms
memory: 7632kb
input:
50 5555
output:
745339864
result:
ok 1 number(s): "745339864"
Test #9:
score: 0
Accepted
time: 3ms
memory: 7836kb
input:
60 6666
output:
690992218
result:
ok 1 number(s): "690992218"
Test #10:
score: 0
Accepted
time: 3ms
memory: 7812kb
input:
100 50
output:
169678588
result:
ok 1 number(s): "169678588"
Test #11:
score: 0
Accepted
time: 1ms
memory: 9176kb
input:
500 88888
output:
216149701
result:
ok 1 number(s): "216149701"
Test #12:
score: 0
Accepted
time: 9ms
memory: 11136kb
input:
1000 213456
output:
270989457
result:
ok 1 number(s): "270989457"
Test #13:
score: 0
Accepted
time: 12ms
memory: 14644kb
input:
2000 119988
output:
756425375
result:
ok 1 number(s): "756425375"
Test #14:
score: 0
Accepted
time: 18ms
memory: 17876kb
input:
3000 998244352
output:
71841227
result:
ok 1 number(s): "71841227"
Test #15:
score: 0
Accepted
time: 17ms
memory: 17876kb
input:
3000 555555555
output:
79880116
result:
ok 1 number(s): "79880116"
Test #16:
score: 0
Accepted
time: 34ms
memory: 22660kb
input:
4321 1234
output:
949603993
result:
ok 1 number(s): "949603993"
Test #17:
score: 0
Accepted
time: 36ms
memory: 25040kb
input:
5000 0
output:
5
result:
ok 1 number(s): "5"
Test #18:
score: 0
Accepted
time: 21ms
memory: 25204kb
input:
5000 88888777
output:
833064960
result:
ok 1 number(s): "833064960"
Test #19:
score: 0
Accepted
time: 25ms
memory: 24904kb
input:
5000 35557777
output:
696388498
result:
ok 1 number(s): "696388498"
Test #20:
score: 0
Accepted
time: 66ms
memory: 44664kb
input:
10000 123456
output:
434296902
result:
ok 1 number(s): "434296902"
Test #21:
score: 0
Accepted
time: 158ms
memory: 77640kb
input:
20000 555555
output:
34806915
result:
ok 1 number(s): "34806915"
Test #22:
score: 0
Accepted
time: 230ms
memory: 115140kb
input:
30000 777888999
output:
58443551
result:
ok 1 number(s): "58443551"
Test #23:
score: 0
Accepted
time: 434ms
memory: 183236kb
input:
50000 2
output:
90102905
result:
ok 1 number(s): "90102905"
Test #24:
score: 0
Accepted
time: 568ms
memory: 253600kb
input:
70000 77998866
output:
202638568
result:
ok 1 number(s): "202638568"
Test #25:
score: 0
Accepted
time: 909ms
memory: 359312kb
input:
100000 998244352
output:
360520717
result:
ok 1 number(s): "360520717"
Test #26:
score: 0
Accepted
time: 905ms
memory: 359180kb
input:
100000 555555555
output:
613886009
result:
ok 1 number(s): "613886009"
Test #27:
score: 0
Accepted
time: 1424ms
memory: 536836kb
input:
150000 233333
output:
381065878
result:
ok 1 number(s): "381065878"
Test #28:
score: 0
Accepted
time: 1380ms
memory: 536816kb
input:
150000 20050117
output:
269891864
result:
ok 1 number(s): "269891864"
Test #29:
score: 0
Accepted
time: 2019ms
memory: 711264kb
input:
200000 114514
output:
262861613
result:
ok 1 number(s): "262861613"
Test #30:
score: 0
Accepted
time: 2052ms
memory: 711032kb
input:
200000 1919810
output:
77872388
result:
ok 1 number(s): "77872388"
Test #31:
score: -100
Memory Limit Exceeded
input:
300000 0