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			hdu 1402 A * B Problem Plus 
		
            
		
            http://acm.hdu.edu.cn/showproblem.php?pid=1402
            #include<iostream>
            #include            <cmath>
            using namespace std;
            typedef             struct vir{
                                double re,im;
                    vir()            {}
                    vir(            double a,double b){re=a;im=b;}
                    vir             operator +(const vir &b){ return vir(re+b.re,im+b.im);}
                    vir             operator -(const vir &b){ return vir(re-b.re,im-b.im);}
                    vir             operator *(const vir &b){ return vir(re*b.re-im*b.im,re*b.im+b.re*im);}
            }            vir;
            vir x1[            200005],x2[200005];
            const double Pi = acos(-1.0);
            void change(vir *x,int len,int loglen)
            {
                                int i,j,k,t;
                                for(i=0;i<len;i++)
                                {
                            t             = i;
                                        for(j=k=0;j<loglen;j++,t>>=1)
                                    k             = (k<<1)|(t&1);
                                        if(k<i)
                                        {
                                    vir wt             =  x[k];
                                    x[k]             = x[i];
                                    x[i]             = wt;
                            }
                    }
            }
            void fft(vir *x,int len,int loglen)
            {
                                int i,j,t,s,e;
                    change(x,len,loglen);
                    t             = 1;
                                for(i=0;i<loglen;i++,t<<=1)
                                {
                            s             = 0;
                            e             = s + t;
                                        while(s<len)
                                        {
                                    vir a,b,wo(cos(Pi            /t),sin(Pi/t)),wn(1,0);
                                                for(j=s;j<s+t;j++)
                                                {
                                            a             = x[j];
                                            b             = x[j+t]*wn;
                                            x[j]             = a + b;
                                            x[j            +t] = a - b;
                                            wn             =wn*wo;
                                    }
                                    s             = e+t;
                                    e             = s+t;
                            }
                    }
            }

            void dit_fft(vir *x,int len,int loglen)
            {
                                int i,j,s,e,t=1<<loglen;
                                for(i=0;i<loglen;i++)
                                {
                            t            >>=1;
                            s            =0;
                            e            =s+t;
                                        while(s<len)
                                        {
                                    vir a,b,wn(            1,0),wo(cos(Pi/t),-sin(Pi/t));
                                                for(j=s;j<s+t;j++)
                                                {
                                            a             = x[j]+x[j+t];
                                            b             = (x[j]-x[j+t])*wn;
                                            x[j]             = a;
                                            x[j            +t] = b;
                                            wn             = wn*wo;
                                    }
                                    s             = e+t;
                                    e             = s+t;
                            }
                    }
                    change(x,len,loglen);
                                for(i=0;i<len;i++)
                            x[i].re            /=len;
            }


            int main()
            {
                                char a[100005],b[100005];
                                int i,len1,len2,t,over,len,loglen;
                    
                                while(scanf("%s%s",a,b)!=EOF)
                                {
                            len1             = strlen(a)<<1;
                            len2             = strlen(b)<<1;
                            len             = 1;
                            loglen             = 0;
                                        while(len<len1)
                                        {
                                    len            <<=1;
                                    loglen            ++;
                            }
                                        while(len<len2)
                                        {
                                    len            <<=1;
                                    loglen            ++;
                            }
                                        for(i=0;a[i]!='\0';i++)
                                        {
                                    x1[i].re             = a[i]-'0';
                                    x1[i].im             = 0;
                            }
                                        for(;i<len;i++)
                                    x1[i].re             = x1[i].im = 0;
                                        for(i=0;b[i]!='\0';i++)
                                        {
                                    x2[i].re             = b[i]-'0';
                                    x2[i].im             = 0;
                            }
                                        for(;i<len;i++)
                                    x2[i].re             = x2[i].im = 0;
                            fft(x1,len,loglen);
                            fft(x2,len,loglen);
                                        for(i=0;i<len;i++)
                                    x1[i]             = x1[i]*x2[i];
                            dit_fft(x1,len,loglen);
                                        for(i=(len1+len2)/2-2,over=loglen=0;i>=0;i--)
                                        {
                                    t             = x1[i].re + over + 0.5;
                                    a[loglen            ++] = t%10;
                                    over             =  t/10;
                            }
                                        while(over)
                                        {
                                    a[loglen            ++] = over%10;
                                    over             /= 10;
                            }
                                        for(loglen--;loglen>=0&&!a[loglen];loglen--);
                                        if(loglen<0)
                                    putchar(            '0');
                                        else
                                                for(;loglen>=0;loglen--)
                                            putchar(a[loglen]            +'0');
                            putchar(            '\n');
                    }
                                return 0;
            }
            

		
            
			posted on 2009-04-18 15:59 此最相思 閱讀(1892) 評論(6)  編輯 收藏 引用  
		
            
	
            
	
	


	


            
	    
    


            

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				# re: hdu 1402 A * B Problem Plus 
					
						2009-10-13 20:18
					
				zhou
			
            
			
            
				這題真難呀！?。?！  回復  更多評論
				  
			
            
		
			
            
				# re: hdu 1402 A * B Problem Plus 
					
						2009-10-13 20:20
					
				啊是
			
            
			
            
				嗯  回復  更多評論
				  
			
            
		
			
            
				# re: hdu 1402 A * B Problem Plus 
					
						2009-10-13 20:35
					
				zhou
			
            
			
            
				回復這么快!!! ORZ ORZ!!!  回復  更多評論
				  
			
            
		
			
            
				# re: hdu 1402 A * B Problem Plus 
					
						2009-10-13 20:36
					
				啊是
			
            
			
            
				連接到Q了呀  回復  更多評論
				  
			
            
		
			
            
				# re: hdu 1402 A * B Problem Plus 
					
						2010-01-16 00:43
					
				abilitytao
			
            
			
            
				請問有什么這方面的資料嗎？我最近也想研究這個問題 希望能和你交流^_^

            我的QQ是 64076241  回復  更多評論
				  
			
            
		
			
            
				# re: hdu 1402 A * B Problem Plus 
					
						2011-04-03 23:13
					
				xiaomai
			
            
			
            
				這題，太惡心了  回復  更多評論
				  
			
            
		

            




            






            

				

            



    
    







            
	   
	



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