luogu4173 殘缺的字符串
阿新 • • 發佈:2018-04-10
algorithm rev cout tps while complex () www i++
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#include <algorithm>
#include <iostream>
#include <cstring>
#include <cstdio>
#include <vector>
#include <cmath>
using namespace std;
int n, m, aa[300005], bb[300005], lim=1, tmpcnt, rev[1100005];
const double PI=acos(-1.0);
char ss[300005];
vector<int> vec;
struct Complex{
double x, y;
Complex(double xx=0.0, double yy=0.0){
x = xx;
y = yy;
}
Complex operator+(const Complex &u)const{
return Complex(x+u.x, y+u.y);
}
Complex operator-(const Complex &u)const{
return Complex(x-u.x, y-u.y);
}
Complex operator*(const Complex &u)const {
return Complex(x*u.x-y*u.y, x*u.y+y*u.x);
}
Complex operator*(double u)const{
return Complex(x*u, y*u);
}
}a[1100005], b[1100005], c[1100005];
void fft(Complex a[], int opt){
for(int i=0; i<lim; i++)
if(i<rev[i])
swap(a[i], a[rev[i]]);
for(int i=2; i<=lim; i<<=1 ){
int tmp=i>>1;
Complex wn=Complex(cos(PI*2.0/i), opt*sin(PI*2.0/i));
for(int j=0; j<lim; j+=i){
Complex w=Complex(1.0, 0.0);
for(int k=0; k<tmp; k++){
Complex tmp1=a[j+k], tmp2=w*a[j+k+tmp];
a[j+k] = tmp1 + tmp2;
a[j+k+tmp] = tmp1 - tmp2;
w = w * wn;
}
}
}
if(opt==-1)
for(int i=0; i<lim; i++)
a[i].x /= lim;
}
int main(){
cin>>m>>n;
while(lim<=n+m) lim <<= 1, tmpcnt++;
for(int i=0; i<lim; i++)
rev[i] = (rev[i>>1]>>1) | ((i&1)<<(tmpcnt-1));
scanf("%s", ss);
for(int i=0; i<m; i++)
if(ss[i]!=‘*‘)
aa[i] = ss[i] - ‘a‘ + 1;
scanf("%s", ss);
for(int i=0; i<n; i++)
if(ss[i]!=‘*‘)
bb[i] = ss[i] - ‘a‘ + 1;
reverse(aa, aa+m);
for(int i=0; i<m; i++)
a[i] = Complex(aa[i]*aa[i]*aa[i], 0.0);
for(int i=0; i<n; i++)
b[i] = Complex(bb[i], 0.0);
fft(a, 1);
fft(b, 1);
for(int i=0; i<lim; i++)
c[i] = a[i] * b[i];
memset(a, 0, sizeof(a));
memset(b, 0, sizeof(b));
for(int i=0; i<m; i++)
a[i] = Complex(aa[i]*aa[i], 0.0);
for(int i=0; i<n; i++)
b[i] = Complex(bb[i]*bb[i], 0.0);
fft(a, 1);
fft(b, 1);
for(int i=0; i<lim; i++)
c[i] = c[i] - a[i] * b[i] * 2.0;
memset(a, 0, sizeof(a));
memset(b, 0, sizeof(b));
for(int i=0; i<m; i++)
a[i] = Complex(aa[i], 0.0);
for(int i=0; i<n; i++)
b[i] = Complex(bb[i]*bb[i]*bb[i], 0.0);
fft(a, 1);
fft(b, 1);
for(int i=0; i<lim; i++)
c[i] = c[i] + a[i] * b[i];
fft(c, -1);
for(int i=m-1; i<n; i++)
if(fabs(c[i].x)<1e-6)
vec.push_back(i-m+2);
cout<<vec.size()<<endl;
for(int i=0; i<vec.size(); i++)
printf("%d ", vec[i]);
printf("\n");
return 0;
}
luogu4173 殘缺的字符串