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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#72260 | #4812. Counting Sequence | JinTianHao | WA | 2ms | 7472kb | C++17 | 1.7kb | 2023-01-15 11:39:49 | 2023-01-15 11:39:53 |
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);if(!c) ans=1;
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(!dp2[i][j]) continue;
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
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Test #1:
score: 100
Accepted
time: 2ms
memory: 7472kb
input:
5 3
output:
8
result:
ok 1 number(s): "8"
Test #2:
score: -100
Wrong Answer
time: 0ms
memory: 5408kb
input:
1 0
output:
2
result:
wrong answer 1st numbers differ - expected: '1', found: '2'