function mul(a,b){var n=a.length,m=b.length,nm=n+m,i,j,c=Array(n);for(i=0;i<nm;i++)c[i]=0;for(i=0;i<n;i++){for(j=0;j<m;j++){c[i+j]+=a[i]*b[j];c[i+j+1]+=(c[i+j]>>16)&0xffff;c[i+j]&=0xffff;}}
return c;}
function div(a,b,is_mod){var n=a.length,m=b.length,i,j,d,tmp,qq,rr,c=Array();d=Math.floor(0x10000/(b[m-1]+1));a=mul(a,[d]);b=mul(b,[d]);for(j=n-m;j>=0;j--){tmp=a[j+m]*0x10000+a[j+m-1];rr=tmp%b[m-1];qq=Math.round((tmp-rr)/b[m-1]);if(qq==0x10000||(m>1&&qq*b[m-2]>0x10000*rr+a[j+m-2])){qq--;rr+=b[m-1];if(rr<0x10000&&qq*b[m-2]>0x10000*rr+a[j+m-2])qq--;}
for(i=0;i<m;i++){tmp=i+j;a[tmp]-=b[i]*qq;a[tmp+1]+=Math.floor(a[tmp]/0x10000);a[tmp]&=0xffff;}
c[j]=qq;if(a[tmp+1]<0){c[j]--;for(i=0;i<m;i++){tmp=i+j;a[tmp]+=b[i];if(a[tmp]>0xffff){a[tmp+1]++;a[tmp]&=0xffff;}}}}
if(!is_mod)return c;b=Array();for(i=0;i<m;i++)b[i]=a[i];return div(b,[d]);}
function pow_mod(a,b,c){var n=b.length,p=[1],i,j,tmp;for(i=0;i<n-1;i++){tmp=b[i];for(j=0;j<0x10;j++){if(tmp&1)p=div(mul(p,a),c,1);tmp>>=1;a=div(mul(a,a),c,1);}}
tmp=b[i];while(tmp){if(tmp&1)p=div(mul(p,a),c,1);tmp>>=1;a=div(mul(a,a),c,1);}
return p;}
function zerofill(str,num){var n=num-str.toString().length,i,s='';for(i=0;i<n;i++)s+='0';return s+str;}
function dec2num(str){var n=str.length,a=[0],i,j,m;n+=4-(n%4);str=zerofill(str,n);n>>=2;for(i=0;i<n;i++){a=mul(a,[10000]);a[0]+=parseInt(str.substring(4*i,4*(i+1)),10);m=a.length;j=a[m]=0;while(j<m&&a[j]>0xffff){a[j++]&=0xffff;a[j]++;}
while(a.length>1&&!a[a.length-1])a.length--;}
return a;}
function num2dec(a){var n=2*a.length,b=Array(),i;for(i=0;i<n;i++){b[i]=zerofill(div(a,[10000],1)[0],4);a=div(a,[10000]);}
while(b.length>1&&!parseInt(b[b.length-1],10))b.length--;n=b.length-1;b[n]=parseInt(b[n],10);b=b.reverse().join('');return b;}
function is_decimal(str){var n=str.length;if(!n)return 0;str=str.split('');while(n--)if(isNaN(parseInt(str[n],10)))return 0;return 1;}
function str2num(str){var len=str.length;if(len&1){str="\0"+str;len++;}
len>>=1;var result=Array();for(var i=0;i<len;i++){result[len-i-1]=str.charCodeAt(i<<1)<<8|str.charCodeAt((i<<1)+1);}
return result;}
function num2str(num){var n=num.length;var s=Array();for(var i=0;i<n;i++){s[n-i-1]=String.fromCharCode(num[i]>>8&0xff,num[i]&0xff);}
return s.join('');}
function rand(n,s){var lowBitMasks=new Array(0x0000,0x0001,0x0003,0x0007,0x000f,0x001f,0x003f,0x007f,0x00ff,0x01ff,0x03ff,0x07ff,0x0fff,0x1fff,0x3fff,0x7fff);var r=n%16;var q=n>>4;var result=Array();for(var i=0;i<q;i++){result[i]=Math.floor(Math.random()*0xffff);}
if(r!=0){result[q]=Math.floor(Math.random()*lowBitMasks[r]);if(s){result[q]|=1<<(r-1);}}
else if(s){result[q-1]|=0x8000;}
return result;}
