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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 |
---|---|---|---|---|---|---|---|---|---|
#282647 | #7873. Since A Light | zhouhuanyi | 0 | 268ms | 16152kb | C++20 | 3.3kb | 2023-12-12 17:10:27 | 2023-12-12 17:10:28 |
Judging History
answer
#include<iostream>
#include<cstdio>
#include<vector>
#define N 100000
#define M 262144
#define K 20
#define g 3
#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 fast_pow(int a,int b)
{
int res=1,mul=a;
while (b)
{
if (b&1) res=1ll*res*mul%mod;
mul=1ll*mul*mul%mod,b>>=1;
}
return res;
}
void Adder(int &x,int d)
{
x+=d;
if (x>=mod) x-=mod;
return;
}
void Adder2(int &x,int d)
{
x+=d;
if (x<0) x+=mod;
return;
}
int MD(int x)
{
return x>=mod?x-mod:x;
}
int MD2(int x)
{
return x<0?x+mod:x;
}
int n,d,ans,length,A[M+1],B[M+1],wn[K+1][M+1],wn2[K+1][M+1],rev[M+1],num[M+1];
struct matrix
{
vector<int>p[5][5];
};
matrix e,nw,dres,c,zero;
vector<int>zro;
void NTT(int limit,int *s,int type)
{
int s1,s2;
for (int i=1;i<limit;++i) rev[i]=(rev[i>>1]>>1)|((i&1)?(limit>>1):0);
for (int i=0;i<limit;++i)
if (rev[i]>i)
swap(s[i],s[rev[i]]);
if (type==1)
{
for (int i=2;i<=limit;i<<=1)
for (int j=0;j+i-1<limit;j+=i)
for (int k=j;k<j+(i>>1);++k)
s1=s[k],s2=1ll*s[k+(i>>1)]*wn[num[i]][k-j]%mod,s[k]=MD(s1+s2),s[k+(i>>1)]=MD2(s1-s2);
}
else
{
for (int i=2;i<=limit;i<<=1)
for (int j=0;j+i-1<limit;j+=i)
for (int k=j;k<j+(i>>1);++k)
s1=s[k],s2=1ll*s[k+(i>>1)]*wn2[num[i]][k-j]%mod,s[k]=MD(s1+s2),s[k+(i>>1)]=MD2(s1-s2);
s1=fast_pow(limit,mod-2);
for (int i=0;i<limit;++i) s[i]=1ll*s[i]*s1%mod;
}
return;
}
vector<int>operator + (vector<int>a,vector<int>b)
{
if (a.size()<b.size()) swap(a,b);
for (int i=0;i<b.size();++i) Adder(a[i],b[i]);
return a;
}
vector<int>operator * (vector<int>a,vector<int>b)
{
if (a.empty()||b.empty()) return zro;
int limit=1;
vector<int>cs(min((int)(a.size()+b.size()-1),d));
if (min(a.size(),b.size())<=10)
{
for (int i=0;i<a.size();++i)
for (int j=0;j<b.size()&&i+j<cs.size();++j)
Adder(cs[i+j],1ll*a[i]*b[j]%mod);
return cs;
}
else
{
while (limit<=a.size()+b.size()) limit<<=1;
for (int i=0;i<=limit;++i) A[i]=B[i]=0;
for (int i=0;i<a.size();++i) A[i]=a[i];
for (int i=0;i<b.size();++i) B[i]=b[i];
NTT(limit,A,1),NTT(limit,B,1);
for (int i=0;i<=limit;++i) A[i]=1ll*A[i]*B[i]%mod;
NTT(limit,A,-1);
for (int i=0;i<cs.size();++i) cs[i]=A[i];
}
return cs;
}
matrix operator * (matrix a,matrix b)
{
c=zero;
for (int k=0;k<5;++k)
for (int i=0;i<5;++i)
for (int j=0;j<5;++j)
c.p[i][j]=c.p[i][j]+a.p[i][k]*b.p[k][j];
return c;
}
matrix fast_pows(matrix a,int b)
{
matrix res=e,mul=a;
while (b)
{
if (b&1) res=res*mul;
mul=mul*mul,b>>=1;
}
return res;
}
int main()
{
int rst;
for (int i=2;i<=M;i<<=1)
{
num[i]=++length,rst=fast_pow(g,(mod-1)/i);
for (int j=0,res=1;j<(i>>1);++j,res=1ll*res*rst%mod) wn[num[i]][j]=res;
rst=fast_pow(g,(mod-1)/i*(i-1));
for (int j=0,res=1;j<(i>>1);++j,res=1ll*res*rst%mod) wn2[num[i]][j]=res;
}
for (int i=0;i<5;++i) e.p[i][i]={1};
n=read(),d=read(),nw.p[0][0]={0,0,1},nw.p[0][1]={0,2},nw.p[0][2]={1},nw.p[1][0]={0,1},nw.p[1][1]={1},nw.p[2][0]={1};
nw.p[1][3]=nw.p[3][3]=nw.p[3][4]=nw.p[4][3]={1},dres=fast_pows(nw,n);
for (int i=0;i<=2;++i)
if (d-1<dres.p[i][3].size())
Adder(ans,dres.p[i][3][d-1]);
printf("%d\n",ans);
return 0;
}
详细
Subtask #1:
score: 0
Wrong Answer
Test #1:
score: 1
Accepted
time: 2ms
memory: 16152kb
input:
1 1
output:
1
result:
ok single line: '1'
Test #2:
score: 0
Accepted
time: 5ms
memory: 16132kb
input:
2 1
output:
2
result:
ok single line: '2'
Test #3:
score: -1
Wrong Answer
time: 0ms
memory: 16072kb
input:
3 2
output:
6
result:
wrong answer 1st lines differ - expected: '3', found: '6'
Subtask #2:
score: 0
Wrong Answer
Test #26:
score: 7
Accepted
time: 3ms
memory: 16124kb
input:
380 59
output:
718355613
result:
ok single line: '718355613'
Test #27:
score: -7
Wrong Answer
time: 5ms
memory: 8064kb
input:
164 46
output:
706900206
result:
wrong answer 1st lines differ - expected: '353450103', found: '706900206'
Subtask #3:
score: 0
Wrong Answer
Test #31:
score: 0
Wrong Answer
time: 11ms
memory: 10236kb
input:
413 652
output:
341200236
result:
wrong answer 1st lines differ - expected: '170600118', found: '341200236'
Subtask #4:
score: 0
Wrong Answer
Test #36:
score: 0
Wrong Answer
time: 114ms
memory: 11424kb
input:
4495 4498
output:
751171398
result:
wrong answer 1st lines differ - expected: '375585699', found: '751171398'
Subtask #5:
score: 0
Wrong Answer
Test #41:
score: 0
Wrong Answer
time: 8ms
memory: 9980kb
input:
158314621 32
output:
931483922
result:
wrong answer 1st lines differ - expected: '465741961', found: '931483922'
Subtask #6:
score: 0
Wrong Answer
Test #46:
score: 0
Wrong Answer
time: 268ms
memory: 10384kb
input:
812922977 1762
output:
857746161
result:
wrong answer 1st lines differ - expected: '927995257', found: '857746161'
Subtask #7:
score: 0
Time Limit Exceeded
Test #51:
score: 0
Time Limit Exceeded
input:
320076133 78121