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/* bitscount.c£ºÎ»¼ÆÊý */
/* ¼ÆËãxÖÐ1λµÄÊýÄ¿£º·½°¸1£¬²ÉÓ÷ÖÖβßÂÔ */
inline int pop(unsigned x){
/* ¶Ôÿ¸ö2λ×ֶΣ¬ÏÈÎö³öÆäÓҶ˵Ä1룬ÔÙÎö³öÆä×ó¶ËµÄ1λ£¬È»ºóÈÃÕâÁ½¸öλÏà¼Ó */
x=(x & 0x55555555)+((x>>1) & 0x55555555);
/* ¶Ôÿ¸ö4λ×ֶΣ¬ÏÈÎö³öÆäÓÒ¶Ë2λ×ֶΣ¬ÔÙÎö³öÆä×ó¶Ë2λ×ֶΣ¬È»ºóÈÃÕâÁ½¸ö2λ×Ö¶ÎÏà¼Ó */
x=(x & 0x33333333)+((x>>2) & 0x33333333);
/* ¶Ôÿ¸ö8λ×ֶΣ¬ÏÈÎö³öÆäÓÒ¶Ë4λ×ֶΣ¬ÔÙÎö³öÆä×ó¶Ë4λ×ֶΣ¬È»ºóÈÃÕâÁ½¸ö4λ×Ö¶ÎÏà¼Ó */
x=(x & 0x0f0f0f0f)+((x>>4) & 0x0f0f0f0f);
/* ¶Ôÿ¸ö16λ×ֶΣ¬ÏÈÎö³öÆäÓÒ¶Ë8λ×ֶΣ¬ÔÙÎö³öÆä×ó¶Ë8λ×ֶΣ¬È»ºóÈÃÕâÁ½¸ö8λ×Ö¶ÎÏà¼Ó */
x=(x & 0x00ff00ff)+((x>>8) & 0x00ff00ff);
/* ×îºóÈÃÁ½¸ö16λ×Ö¶ÎÏà¼Ó */
x=(x & 0x0000ffff)+(x>>16);
return x;
}
/* ·½°¸2£ºÓù«Ê½sum_digits(z)=z-[z/2]-[z/4]-...-[z/2**(n-1)]£¬
²¢½áºÏ·ÖÖβßÂÔÀ´¼ÆËã */
inline int pop_2(unsigned x){
unsigned n;
n=(x>>1) & 0x77777777; /* ¶Ôÿ¸ö4λ×Ö¶Îz£¬¼ÆËã[z/2] */
x=x-n; /* ¼ÆËãz-[z/2] */
n=(n>>1) & 0x77777777; /* ¼ÆËã[z/4] */
x=x-n; /* ¼ÆËãz-[z/2]-[z/4] */
x=(x+(x>>4)) & 0x0f0f0f0f; /* ¶ÔÿÏàÁÚµÄÁ½¸ö4λ×Ö¶ÎÏà¼Ó£¬À©Õ¹³É4¸ö8λ×Ö¶Î */
x=x*0x01010101; /* ³ËÒÔ0x01010101£¬¼´°ÑÕâ4¸ö×Ö½ÚÏà¼Ó£¬
½á¹û´æ·ÅÔÚ×î¸ß½×µÄÄǸö×Ö½ÚÖÐ */
return x>>24;
}
/* ·½°¸3£ºÍ¨¹ýx&(x-1)²»¶ÏµØ°Ñ×îÓÒ²àµÄ1λ¸Ä³É0룬²¢¼Ç¼ÏÂÕâÑùµÄÐ޸ĴÎÊý£¬Ö±µ½x±ä³É0 */
inline int pop_3(unsigned x){
int n=0;
while(x!=0){
++n;
x=x & (x-1);
}
return n;
}
/* ¼ÆËãÕû¸öÊý×éÖеÄ1λÊýÄ¿ */
int pop_array(unsigned A[], int n){
register int i,j,lim;
register unsigned s,s8,x;
s=0;
for(i=0;i<n;i=i+31){
lim=n <= i+31 ? n : i+31;
s8=0;
for(j=i;j<lim;++j){
x=A[j];
x=x-((x>>1) & 0x55555555); /* ±ä³É16¸ö2λ×Ö¶Î */
x=(x & 0x33333333)+((x>>2) & 0x33333333); /* ±ä³É8¸ö4λ×Ö¶Î */
x=(x+(x>>4)) &
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