//FFT
#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cmath>
#include <vector>
using namespace std;
const int mxn = (1 << 19) + 100;
const double PI = acos(-1.0);
int N = 1 << 19, id = 0, n;
int cnt[mxn];
pair<double,double> P[mxn], PB[mxn], tmp[mxn];
void fill(int s[], int m, int d)
{
if (m == N)
P[d] = make_pair(s[id++],0.);
else
{
fill(s, m<<1, d);
fill(s, m<<1, d+m);
}
}
void fill2(int m, int d)
{
if (m == N) P[d] = tmp[id++];
else {
fill2(m<<1, d);
fill2(m<<1, d+m);
}
}
inline void FFT(double oper)
{
for (int d = 0;(1 << d) < N;++d) {
int m = (1 << d);
double p0 = PI / m * oper;
double sinp0 = sin(p0);
double cosp0 = cos(p0);
for (int i = 0;i < N;i += (m << 1)) {
double sinp = 0;
double cosp = 1;
for (int j = 0;j < m;++j) {
double ta = cosp * P[i+j+m].first - sinp*P[i+j+m].second;
double tb = cosp * P[i+j+m].second + sinp * P[i+j+m].first;
P[i+j+m].first = P[i+j].first - ta;
P[i+j+m].second = P[i+j].second - tb;
P[i+j].first += ta;
P[i+j].second += tb;
double tsinp = sinp;
sinp = sinp * cosp0 + cosp * sinp0;
cosp = cosp * cosp0 -tsinp * sinp0;
}
}
}
}
void Mul(int p1[],int p2[])
{
id = 0;
fill(p1, 1, 0);
FFT(1.0);
for (int i = 0;i < N;++i)
PB[i] = P[i];
id = 0;
fill(p2, 1, 0);
FFT(1.0);
for (int i = 0;i < N;++i)
{
tmp[i].first = P[i].first * PB[i].first - P[i].second * PB[i].second;
tmp[i].second = P[i].first * PB[i].second + P[i].second * PB[i].first;
}
id = 0;
fill2(1, 0);
FFT(-1.0);
for (int i = 0;i < N;++i)
cnt[i] = P[i].first / N + 0.1;
}
int a[250010],b[250010];
int p1[mxn],p2[mxn],ans[mxn];
void solve(int n,int m)
{
N=n+m;
while(N!=(N&-N)) N+=(N&-N);
for(int i=0;i<N;++i) p1[i]=p2[i]=0;
for(int i=0;i<n;++i) p1[i]=(a[i]==0);
for(int i=1;i<=m;++i) p2[i-1]=(b[m-i]==0);
Mul(p1,p2);
for(int i=m;i<=n;++i) ans[i-m]=cnt[i-1];
for(int i=0;i<N;++i) p1[i]=p2[i]=0;
for(int i=0;i<n;++i) p1[i]=(a[i]==1);
for(int i=1;i<=m;++i) p2[i-1]=(b[m-i]==1);
Mul(p1,p2);
for(int i=m;i<=n;++i) ans[i-m]+=cnt[i-1];
}
int nxt[250010];
vector<int>V;
void init(int n,int m)
{
int i,j;
for(i=1,nxt[0]=j=-1;i<m;i++)
{
while(j+1&&b[i]/2-b[j+1]/2)
j=nxt[j];
if(b[i]/2==b[j+1]/2)
j++;
nxt[i]=j;
}
V.clear();
for(i=0,j=-1;i<n;i++)
{
while(j+1&&a[i]/2-b[j+1]/2)
j=nxt[j];
if(a[i]/2==b[j+1]/2)
j++;
if(j==m-1)
V.push_back(i-m+1);
}
}
int getnum(char *s)
{
int ans=0;
for(int i=0;s[i];i++)
ans=ans*2+s[i]-'0';
return ans;
}
int main()
{
int n,m,i,j,k;
char s[20];
scanf("%d%d",&n,&m);
for(i=0;i<n;i++)
scanf("%s",s),a[i]=getnum(s);
for(i=0;i<m;i++)
scanf("%s",s),b[i]=getnum(s);
init(n,m);
for(i=0;i<n;i++)
a[i]%=2;
for(i=0;i<m;i++)
b[i]%=2;
if(V.size()==0)
puts("No");
else
{
solve(n,m);
puts("Yes");
int res=-1,pos=-1;
for(int i=0;i<V.size();++i)
{
if(ans[V[i]]<=res) continue;
pos=V[i];
res=ans[pos];
}
printf("%d %d\n",m-res,pos+1);
}
return 0;
//a,b里面存现在的数,0或者1,长度分别位n,m,下标从0开始,vector里面存匹配的开始下表
}
//C( n, m ) % p;
#include <iostream>
#include <string.h>
#include <stdio.h>
using namespace std;
#define N 100010
long long mod_pow(int a,int n,int p)
{
long long ret=1;
long long A=a;
while(n)
{
if (n & 1)
ret=(ret*A)%p;
A=(A*A)%p;
n>>=1;
}
return ret;
}
long long factorial[N];
void init(long long p)
{
factorial[0] = 1;
for(int i = 1;i <= p;i++)
factorial[i] = factorial[i-1]*i%p;
//for(int i = 0;i < p;i++)
//ni[i] = mod_pow(factorial[i],p-2,p);
}
long long Lucas(long long a,long long k,long long p) //求C(n,m)%p p最大为10^5。a,b可以很大!
{
long long re = 1;
while(a && k)
{
long long aa = a%p;long long bb = k%p;
if(aa < bb) return 0; //这个是最后的改动!
re = re*factorial[aa]*mod_pow(factorial[bb]*factorial[aa-bb]%p,p-2,p)%p;//这儿的求逆不可先处理
a /= p;
k /= p;
}
return re;
}
int main()
{
int t;
cin >> t;
while(t--)
{
long long n,m,p;
cin >> n >> m >> p;
init(p);
cout << Lucas(n+m,m,p) << "\n";
}
return 0;
}
//插头dp
#include<iostream>
#include<cstdio>
#include<vector>
#include<string>
#include<queue>
#include<cstring>
#include<map>
#include<cmath>
#include<algorithm>
using namespace std;
#define ll long long
#define inf 0x3fffffff
#define N 13
#define MOD 60007
#define STA 1000010
int n,m,S;
struct HashMap
{
int hd[MOD],nxt[STA],sta[STA],f[STA],size;
void init()
{
size = 0;
memset(hd,-1,sizeof(hd));
}
void add(int s,int a)
{
int h = s%MOD;
for(int i=hd[h];i+1;i=nxt[i])
{
if(sta[i]==s)
{
f[i] = min(f[i],a);
return;
}
}
nxt[size] = hd[h];
sta[size] = s;
f[size] = a;
hd[h] = size++;
return;
}
}hs[2];
int mmap[N][N];
int solve()
{
S = (1<<((m+1)<<1))-1;
int cur = 0;
hs[0].init();
hs[0].add(0,0);
for(int i=0;i<n;i++)
{
for(int j=0;j<m;j++ )
{
hs[cur=!cur].init();
for(int k=0;k<hs[cur^1].size;k++)
{
int s = hs[cur^1].sta[k];
int fk = hs[cur^1].f[k]+1;
int x = (3<<(j<<1))&s;
int y = (3<<((j+1)<<1))&s;
int left = x>>(j<<1);
int up = y>>((j+1)<<1);
if(mmap[i][j]==1)
{
if(left==0&&up==0)
{
hs[cur].add(s,fk-1);
if(mmap[i+1][j]&&mmap[i][j+1])
{
hs[cur].add(s|(2<<(j<<1))|(2<<((j+1)<<1)),fk);
hs[cur].add(s|(3<<(j<<1))|(3<<((j+1)<<1)),fk);
}
}
else if(left==up&&left)
{
hs[cur].add(s^x^y,fk);
}
else if((left==0&&up==2)||(left==2&&up==0))
{
if(mmap[i+1][j]) hs[cur].add(s^y|(2<<(j<<1)),fk);
if(mmap[i][j+1]) hs[cur].add(s^x|(2<<((j+1)<<1)),fk);
}
else if((left==0&&up==3)||(left==3&&up==0))
{
if(mmap[i+1][j]) hs[cur].add(s^y|(3<<(j<<1)),fk);
if(mmap[i][j+1]) hs[cur].add(s^x|(3<<((j+1)<<1)),fk);
}
}
else if(mmap[i][j]==2)
{
if(left==2&&up==0)
hs[cur].add(s^x,fk);
else if(left==0&&up==2)
hs[cur].add(s^y,fk);
else if(left==0&&up==0)
{
if(mmap[i+1][j]==1||mmap[i+1][j]==2) hs[cur].add(s|(2<<(j<<1)),fk);
if(mmap[i][j+1]==1||mmap[i][j+1]==2) hs[cur].add(s|(2<<((j+1)<<1)),fk);
}
}
else if(mmap[i][j]==3)
{
if(left==3&&up==0)
hs[cur].add(s^x,fk);
else if(left==0&&up==3)
hs[cur].add(s^y,fk);
else if(left==0&&up==0)
{
if(mmap[i+1][j]==1||mmap[i+1][j]==3) hs[cur].add(s|(3<<(j<<1)),fk);
if(mmap[i][j+1]==1||mmap[i][j+1]==3) hs[cur].add(s|(3<<((j+1)<<1)),fk);
}
}
else
{
if(left==0&&up==0) hs[cur].add(s,fk-1);
}
}
}
hs[cur^1].init();
for(int i=0;i<hs[cur].size;i++)
hs[cur^1].add((hs[cur].sta[i]<<2)&S,hs[cur].f[i]);
cur ^= 1;
}
cur ^= 1;
for(int i=0;i<hs[cur].size;i++)
if(hs[cur].sta[i]==0) return hs[cur].f[i]-2;
return 0;
}
int main()
{
int ans;
while(scanf("%d%d",&n,&m)!=EOF&&(m||n))
{
memset(mmap,0,sizeof(mmap));
for(int i=0;i<n;i++)
for(int j=0;j<m;j++)
{
scanf("%d",&mmap[i][j]);
if(mmap[i][j]<2) mmap[i][j] ^= 1;
}
ans = solve();
printf("%d\n",ans);
}
}
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最新推荐文章于 2024-11-11 09:44:21 发布