bzoj 1567 JSOI2008]Blue Mary的战役地图【二维字符串哈希】【水题】

二分后判定有无两个相同的子正方形,复习了一下二维字符串哈希。

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<algorithm>

#define ull unsigned long long
#define inf 1e9
#define eps 1e-10
#define md
#define N 55
#define H 100010 
using namespace std;
int n;
ull a[N][N],b[N][N],suma[N][N],sumb[N][N],mi1[N],mi2[N];
const ull cheng1=233333333,cheng2=987654321;
struct ha
{
	ull a[H];
	bool vis[H];
	void clear()
	{
		memset(vis,0,sizeof(vis));
	}
	void insert(ull x)
	{
		int pos=x%H;
		while (vis[pos]) { pos++; if (pos>=H) pos-=H; }
		vis[pos]=1; a[pos]=x;
	}
	bool find(ull x)
	{
		int pos=x%H;
		while (vis[pos]&&a[pos]!=x) { pos++; if (pos>=H) pos-=H; }
		return vis[pos];
	}
} hash;
		

void buildha()
{
	for (int i=1;i<=n;i++)
	{
		for (int j=1;j<=n;j++)
		  suma[i][j]=suma[i][j-1]*cheng1+a[i][j];
	}
	for (int i=1;i<=n;i++)
	{
		for (int j=1;j<=n;j++)
		  suma[i][j]=suma[i-1][j]*cheng2+suma[i][j];
	}
	for (int i=1;i<=n;i++)
	{
		for (int j=1;j<=n;j++)
		  sumb[i][j]=sumb[i][j-1]*cheng1+b[i][j];
	}
	for (int i=1;i<=n;i++)
	{
		for (int j=1;j<=n;j++)
		  sumb[i][j]=sumb[i-1][j]*cheng2+sumb[i][j];
	}
	mi1[0]=1; for (int i=1;i<=n;i++) mi1[i]=mi1[i-1]*cheng1;
	mi2[0]=1; for (int i=1;i<=n;i++) mi2[i]=mi2[i-1]*cheng2;
}
		  
	
bool ok(int r)
{
	hash.clear();
	for (int i=r;i<=n;i++)
	  for (int j=r;j<=n;j++)
	  	hash.insert(suma[i][j]-suma[i][j-r]*mi1[r]-suma[i-r][j]*mi2[r]+suma[i-r][j-r]*mi1[r]*mi2[r]);
	for (int i=r;i<=n;i++)
	  for (int j=r;j<=n;j++)
	    if (hash.find(sumb[i][j]-sumb[i][j-r]*mi1[r]-sumb[i-r][j]*mi2[r]+sumb[i-r][j-r]*mi1[r]*mi2[r]))
		  return 1;
	return 0;
}
	  	
	
int main()
{
#ifndef ONLINE_JUDGE
	freopen("data.in","r",stdin); freopen("data.out","w",stdout);
#endif
	scanf("%d",&n);
	for (int i=1;i<=n;i++)
	  for (int j=1;j<=n;j++)
	    scanf("%llu",&a[i][j]);
	for (int i=1;i<=n;i++)
	  for (int j=1;j<=n;j++)
	    scanf("%llu",&b[i][j]);
	buildha();
	int l=0,r=n;
	while (l!=r)
	{
		int mid=(l+r+1)>>1;
		if (ok(mid)) l=mid; else r=mid-1;
	}
	printf("%d\n",l);
	return 0;
}


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