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hdu 4832 百度之星初赛二B

把横的和竖的分开考虑

//#pragma comment(linker, "/STACK:102400000,102400000")
#include<iostream>
#include<vector>
#include<algorithm>
#include<cstdio>
#include<queue>
#include<stack>
#include<string>
#include<map>
#include<set>
#include<cmath>
#include<cassert>
#include<cstring>
#include<iomanip>
using namespace std;
#ifdef _WIN32
#define i64 __int64
#define out64 "%I64d\n"
#define in64 "%I64d"
#else
#define i64 long long
#define out64 "%lld\n"
#define in64 "%lld"
#endif
/************ for topcoder by zz1215 *******************/
#define foreach(c,itr)  for(__typeof((c).begin()) itr=(c).begin();itr!=(c).end();itr++)
#define FOR(i,a,b)      for( int i = (a) ; i <= (b) ; i ++)
#define FF(i,a)         for( int i = 0 ; i < (a) ; i ++)
#define FFD(i,a,b)      for( int i = (a) ; i >= (b) ; i --)
#define S64(a)          scanf(in64,&a)
#define SS(a)           scanf("%d",&a)
#define LL(a)           ((a)<<1)
#define RR(a)           (((a)<<1)+1)
#define pb              push_back
#define pf              push_front
#define X               first
#define Y               second
#define CL(Q)           while(!Q.empty())Q.pop()
#define MM(name,what)   memset(name,what,sizeof(name))
#define MC(a,b)		memcpy(a,b,sizeof(b))
#define MAX(a,b)        ((a)>(b)?(a):(b))
#define MIN(a,b)        ((a)<(b)?(a):(b))
#define read            freopen("in.txt","r",stdin)
#define write           freope("out.txt","w",stdout)

const int inf = 0x3f3f3f3f;
const i64 inf64 = 0x3f3f3f3f3f3f3f3fLL;
const double oo = 10e9;
const double eps = 10e-9;
const double pi = acos(-1.0);
const int maxn = 1010;
const int mod = 9999991;

int c[maxn][maxn];
int dpx[maxn][maxn];
int dpy[maxn][maxn];
int sx[maxn];
int sy[maxn];

void init()
{
	MM(c,0);
	for(int i=0;i<maxn;i++)
	{
		c[i][0]=1;
		c[i][i]=1;
	}
	for(int i=1;i<maxn;i++)
	{
		for(int j=1;j<i;j++)
		{
			c[i][j] = c[i-1][j-1]+c[i-1][j];
			c[i][j] %= mod;
		}
	}
}

int T,n,m,k,x00,y00;

bool inx(int x)
{
	return x>=1 && x<=m;
}

bool iny(int y)
{
	return y>=1 && y<=n;
}

int start()
{
	for(int i=1;i<=n;i++)
	{
		for(int j=0;j<=k;j++)
		{
			dpy[i][j] = 0;
		}
 	}
		
	for(int i=1;i<=m;i++)
	{
		for(int j=0;j<=k;j++)
		{
			dpx[i][j] = 0;	
		}		
	}
	
	dpy[x00][0] = 1;
	dpx[y00][0] = 1;
	int to;
	for(int i=1;i<=k;i++)
	{
		for(int now=1;now<=n;now++)
		{
			for(int u=-2;u<=2;u++)
			{
				if(u==0) continue;
				to = now+u;
				if( iny(to) )
				{
					dpy[to][i] += dpy[now][i-1];
					dpy[to][i] %= mod;
				}
			}
		}
	}

	for(int i=1;i<=k;i++)
	{
		for(int now = 1;now<=m;now++)
		{
			for(int u=-2;u<=2;u++)
			{
				if(u==0) continue;
				to = now+u;
				if(inx(to))
				{
					dpx[to][i] += dpx[now][i-1];
					dpx[to][i] %= mod;
				}
			}
		}
	}
	
	MM(sx,0);
	MM(sy,0);
	for(int i=0;i<=k;i++)
	{
		for(int j=1;j<=n;j++)
		{
			sy[i] += dpy[j][i];
			sy[i] %= mod;
		}
	}
	
	for(int i=0;i<=k;i++)
	{
		for(int j=1;j<=m;j++)
		{
			sx[i] += dpx[j][i];
			sx[i] %= mod;
		}
	}
	
	i64 temp;
	int ans=0;
	for(int i=0;i<=k;i++)
	{
		temp = c[k][i];
		temp *= sx[i];
		temp %=mod;
		temp *= sy[k-i];
		temp%=mod;
		ans+=temp;
		ans%=mod;
	}
	return ans;
}

int main()
{
	init();
	cin>>T;
	for(int tt=1;tt<=T;tt++)
	{
		cin>>n>>m>>k>>x00>>y00;
		cout<<"Case #"<<tt<<":"<<endl;
		cout<<start()<<endl;
	}
	return 0;
}