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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#177206 | #7187. Hardcore String Counting | do_while_true | AC ✓ | 1038ms | 30744kb | C++20 | 4.6kb | 2023-09-12 17:42:48 | 2023-09-12 17:42:48 |
Judging History
answer
#include<cstdio>
#include<vector>
#include<queue>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<ctime>
#include<random>
#include<assert.h>
#define pb emplace_back
#define mp make_pair
#define fi first
#define se second
#define dbg(x) cerr<<"In Line "<< __LINE__<<" the "<<#x<<" = "<<x<<'\n';
#define dpi(x,y) cerr<<"In Line "<<__LINE__<<" the "<<#x<<" = "<<x<<" ; "<<"the "<<#y<<" = "<<y<<'\n';
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int>pii;
typedef pair<ll,int>pli;
typedef pair<ll,ll>pll;
typedef pair<int,ll>pil;
typedef vector<int>vi;
typedef vector<ll>vll;
typedef vector<pii>vpii;
typedef vector<pil>vpil;
template<typename T>T cmax(T &x, T y){return x=x>y?x:y;}
template<typename T>T cmin(T &x, T y){return x=x<y?x:y;}
template<typename T>
T &read(T &r){
r=0;bool w=0;char ch=getchar();
while(ch<'0'||ch>'9')w=ch=='-'?1:0,ch=getchar();
while(ch>='0'&&ch<='9')r=r*10+(ch^48),ch=getchar();
return r=w?-r:r;
}
template<typename T1,typename... T2>
void read(T1 &x,T2& ...y){read(x);read(y...);}
const int mod=998244353;
inline void cadd(int &x,int y){x=(x+y>=mod)?(x+y-mod):(x+y);}
inline void cdel(int &x,int y){x=(x-y<0)?(x-y+mod):(x-y);}
inline int add(int x,int y){return (x+y>=mod)?(x+y-mod):(x+y);}
inline int del(int x,int y){return (x-y<0)?(x-y+mod):(x-y);}
int qpow(int x,int y){
int s=1;
while(y){
if(y&1)s=1ll*s*x%mod;
x=1ll*x*x%mod;
y>>=1;
}
return s;
}
namespace MyPoly
{
const int T=18;//2^T>n+m
int inv[(1<<T)+10],fac[(1<<T)+10];
int w[T][(1<<(T-1))+10],iw[T][(1<<(T-1))+10];
void prework(){
fac[0]=1;
for(int i=1;i<=(1<<T);i++)fac[i]=1ll*fac[i-1]*i%mod;
inv[1<<T]=qpow(fac[1<<T],mod-2);
for(int i=(1<<T)-1;~i;--i)inv[i]=1ll*inv[i+1]*(i+1)%mod;
for(int i=0;i<T;i++){
int n=1<<(i+1);
int W=qpow(3,(mod-1)/n);
int IW=qpow(332748118,(mod-1)/n);
w[i][0]=1;
iw[i][0]=1;
for(int j=1;j<n/2;j++)w[i][j]=1ll*w[i][j-1]*W%mod,iw[i][j]=1ll*iw[i][j-1]*IW%mod;
}
}
struct Poly{
vi a;
Poly(){vi().swap(a);}
Poly(int n){vi().swap(a);a.resize(n);}
int size(){return a.size();}
void resize(int x){a.resize(x);}
int &operator[](int i){return a[i];}
void print(){for(auto i:a)cout<<i<<' ';puts("");}
};
void DFT(Poly &a){ //转置
int n=a.size();
int p=__builtin_ctz(n);
for(int i=n/2;i;i>>=1){
--p;
for(int j=0;j<n;j+=i<<1){
for(int k=0;k<i;++k){
int u=a[j+k],v=a[j+i+k];
a[j+k]=add(u,v);
a[j+i+k]=del(1ll*u*w[p][k]%mod,1ll*v*w[p][k]%mod);
}
}
}
}
void IDFT(Poly &a){
int n=a.size();
int p=-1;
for(int i=1;i<n;i<<=1){
++p;
for(int j=0;j<n;j+=i<<1){
for(int k=0;k<i;++k){
int v=1ll*a[j+i+k]*iw[p][k]%mod;
a[j+i+k]=del(a[j+k],v);
cadd(a[j+k],v);
}
}
}
int iv=qpow(n,mod-2);
for(int i=0;i<n;i++)
a[i]=1ll*a[i]*iv%mod;
}
Poly operator-(Poly f,Poly g){
int n=max(f.size(),g.size());
f.resize(n);g.resize(n);
for(int i=0;i<n;i++)cdel(f[i],g[i]);
return f;
}
Poly operator*(Poly f,Poly g){
int n=f.size(),m=g.size();
if (1ll*n*m<=1000){
Poly h;
h.resize(n+m-1);
for(int i=0;i<n;i++)
if(f[i])
for(int j=0;j<m;j++)
if(g[j])
cadd(h[i+j],1ll*f[i]*g[j]%mod);
return h;
}
int len=1,ct=0;
while(len<=n+m)len<<=1,++ct;
f.resize(len);
g.resize(len);
DFT(f);
DFT(g);
for(int i=0;i<len;i++)
f[i]=1ll*f[i]*g[i]%mod;
IDFT(f);
f.resize(n+m-1);
return f;
}
}
using namespace MyPoly;
int bostan_mori(Poly &p,Poly &q,ll n){
//[x^n]p(x)/q(x)
auto adjust=[&](Poly &f,int o){
int i;
for(i=o;i<(int)f.size();i+=2)
f[i/2]=f[i];
f.resize(i/2);
};
while(n){
int o=(n&1);n>>=1;
Poly rq=q;
for(int i=1;i<(int)rq.size();i+=2)rq[i]=del(0,rq[i]);
q=q*rq;
adjust(q,0);
p=p*rq;
if(!o)adjust(p,0);
else adjust(p,1);
}
if(p.size())return 1ll*p[0]*qpow(q[0],mod-2)%mod;
return 0;
}
int n,m;
int nxt[100010];
char s[100010];
signed main(){
#ifdef do_while_true
// assert(freopen("data.in","r",stdin));
// assert(freopen("data.out","w",stdout));
#endif
prework();
read(n,m);
scanf("%s",s+1);
for(int i=2,j=0;i<=n;i++){
while(j&&s[j+1]!=s[i])j=nxt[j];
if(s[j+1]==s[i])++j;
nxt[i]=j;
}
int x=nxt[n];
Poly P(n+1),Q(n);
P[n]=mod-1;
while(x)Q[n-x]=1,x=nxt[x];
Q[0]=1;
Poly G(2);G[0]=1,G[1]=mod-26;
Q=Q*G;
P=Q-P;
int ans=bostan_mori(Q,P,m);
cout<<del(0,ans)<<'\n';
#ifdef do_while_true
// cerr<<'\n'<<"Time:"<<1.0*clock()/CLOCKS_PER_SEC*1000<<" ms"<<'\n';
#endif
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 23852kb
input:
6 7 aaaaaa
output:
25
result:
ok answer is '25'
Test #2:
score: 0
Accepted
time: 7ms
memory: 24836kb
input:
3 5 aba
output:
675
result:
ok answer is '675'
Test #3:
score: 0
Accepted
time: 0ms
memory: 23300kb
input:
1 1 a
output:
1
result:
ok answer is '1'
Test #4:
score: 0
Accepted
time: 3ms
memory: 24652kb
input:
5 7 ababa
output:
675
result:
ok answer is '675'
Test #5:
score: 0
Accepted
time: 0ms
memory: 24608kb
input:
1 3 a
output:
625
result:
ok answer is '625'
Test #6:
score: 0
Accepted
time: 3ms
memory: 23408kb
input:
10 536870912 njjnttnjjn
output:
826157401
result:
ok answer is '826157401'
Test #7:
score: 0
Accepted
time: 1011ms
memory: 28192kb
input:
65535 536870912 aaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaaeaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaaeaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaaeaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaayaaaoaaaoaaaoaaaraaaoaaaoaaaoaaayaaaoaaaoaaao...
output:
996824286
result:
ok answer is '996824286'
Test #8:
score: 0
Accepted
time: 1022ms
memory: 29440kb
input:
99892 536870912 wwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwweewwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwweewwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwwawwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwweewwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwweewwwwbwwwwbwwwwqwwwwbwwwwbwwwwqwwwwbwwwwbwwwwawwwwbwwwwb...
output:
718505966
result:
ok answer is '718505966'
Test #9:
score: 0
Accepted
time: 1021ms
memory: 30504kb
input:
100000 536870912 rrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrmrrqrrmrrnnrrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrmrrqrrmrrttrrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrmrrqrrmrrnnrrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrmrrqrrmrrarrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrmrrqrrmrrnnrrmrrqrrmrrcrrmrrqrrmrrbrrmrrqrrmrrcrrm...
output:
824845147
result:
ok answer is '824845147'
Test #10:
score: 0
Accepted
time: 1038ms
memory: 30016kb
input:
99892 1000000000 ggggjggggjggggxggggjggggjggggxggggjggggjggggeeggggjggggjggggxggggjggggjggggxggggjggggjggggeeggggjggggjggggxggggjggggjggggxggggjggggjggggbggggjggggjggggxggggjggggjggggxggggjggggjggggeeggggjggggjggggxggggjggggjggggxggggjggggjggggeeggggjggggjggggxggggjggggjggggxggggjggggjggggbggggjgggg...
output:
971128221
result:
ok answer is '971128221'
Test #11:
score: 0
Accepted
time: 1024ms
memory: 29668kb
input:
100000 625346716 kwfuguxrbiwlvyqsbujelgcafpsnxsgefwxqoeeiwoolreyxvaahagoibdrznebsgelthdzqwxcdglvbpawhdgaxpiyjglzhiamhtptsyyzyyhzjvnqfyqhnrtbwgeyotmltodidutmyvzfqfctnqugmrdtuyiyttgcsjeupuuygwqrzfibxhaefmbtzfhvopmtwwycopheuacgwibxlsjpupdmchvzneodwuzzteqlzlfizpleildqqpcuiechcwearxlvplatyrzxfochdfjqcmzt...
output:
0
result:
ok answer is '0'
Test #12:
score: 0
Accepted
time: 892ms
memory: 28844kb
input:
65536 35420792 pkmyknsqmhwuevibxjgrftrinkulizarxbkmgorddvuvtrhdadnlxfrxsyqhueuefdkanysaixmhbdqyskjdrzntlaqtwoscxldmyzahzwximvjgsjuddejbsbwtxgkbzfzdusucccohjwjuaasnkindxjjtxdbxmitcixrcmawdezafgnigghdtoyzazyfedzsuwsrlkdtarcmzqnszgnyiqvzamjtamvfrhzucdsfscyzdbvbxutwraktnmfrdfbejcbhjcgczgwiucklwydmuuozlu...
output:
0
result:
ok answer is '0'
Test #13:
score: 0
Accepted
time: 1029ms
memory: 30744kb
input:
100000 1000000000 nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn...
output:
545362217
result:
ok answer is '545362217'
Test #14:
score: 0
Accepted
time: 980ms
memory: 30448kb
input:
100000 536870911 ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg...
output:
332737929
result:
ok answer is '332737929'
Test #15:
score: 0
Accepted
time: 1000ms
memory: 29040kb
input:
100000 536870911 qodtwstdnykduvzvvvzmpawqaajvcdatuzzjisoezaqtvqhghmixvlfyhznvrlhdslyyhxoqchflfdjiefikpfrykekhjqywxpwmihiojcfzcmqelrkddbpkcnqcaopdyhldawyrvkqfbqpybewrtusifbfdtxiflxtkzdjqbocozdpupunehraytkhqnobhzeohkvbjyrdfebstqfjlvrcabimlybsnuaqgfcldvklwnyuywvfpdqwmortctexzaufmazyatybltglyonllufofiyr...
output:
592710827
result:
ok answer is '592710827'
Test #16:
score: 0
Accepted
time: 583ms
memory: 30252kb
input:
100000 100000 ciawhxojdqnivfonswbklnoocigwmkbjtkzahqgysihfdeqhialusobeeazqaqzryakqycapfswxpithldpuiflxzpgsysjwnpinfubqlyadphswzvzbrxcdbbhavtzkvwrcqecfnzawisgkvsopjnfzfnlecuesnffqzcknunwsxlrbvdzqbduypfrwgqqnrjstxgjaeuqxxajfbmidkwhrgkpjduftivfwnuugxomyznpbtbcstdkdaitvpdtuvyzipygztosvjwwdascbqthqdgkbit...
output:
1
result:
ok answer is '1'
Test #17:
score: 0
Accepted
time: 1030ms
memory: 30292kb
input:
100000 1000000000 zujpixywgppdzqtwikoyhvlwqvxrfdylopuqgprrqpgqmgfkmhbucwkgdljyfzzbtaxxnltmbptwhknjjqlbeuiowdblqppqeeuunexkghdxjtbidlacmycgwvulgaeazyiwzedaxhtskacflodouylwxfjydzfbthotdwrfcpwrkcgnxpjsmkafaaojlctmqckabidgalvptziemzphncrgtqxlvllgwwgkoqxwhziuxvkadgaohdlceuggwwzmpywsgoecwwhhbotaleesjexdxg...
output:
879141501
result:
ok answer is '879141501'
Extra Test:
score: 0
Extra Test Passed