0717平方数
简要题意：
亲爱的张老师喜欢van全平方数。
现在他手中有n个整数，分别为a1,a2,...,an。
他想知道：在这个数组的 2n-1 个非空子数组中，有多少满足所有数的乘积是完全平方数。
数据范围：1<=n<=500; 1<=ai<=109
分析：
当看到1<=ai<=109时，这道题很显然必须得分解质因数！
每个ai被分为pj的kj次方。
想到完全平方数的每个质因数的指数必为偶数，我们可以把这道题转化为异或方程！
共n个未知数xi，若xi==1，表示选ai；否则不选ai。
有m个方程，表示m种质因数，第i个方程中，A[i][n+1]=0，这样可以保证每个质因数的指数为偶数！
若ai包含某个质因数k，且指数为奇数，则A[k][i]=1，表示选择ai会给质因数k贡献1。
转化完成后，只需要套高斯消元的模板，算有cnt个自由变元，答案就是2cnt-1。
值得注意的是，1<=n<=500，换句话说，cnt可能有500之大，我们必须用高精！
当然，这个高精还是挺好写的，注意点细节就行了。
#include<bits/stdc++.h> using namespace std; #define re register int bitset<2000>A[5000]; int cnt[500];int len,B[500]; inline void modi() { for(re i=1;i<=len;++i) { cnt[i]=cnt[i]<<1; cnt[i]+=B[i];B[i]=0; while(cnt[i]>9)cnt[i]-=10,B[i+1]++; } while(cnt[len+1]||B[len+1])len++,cnt[len]+=B[len],B[len]=0; } inline void prin() { int tmp=1;cnt[tmp]--; while(cnt[tmp]<0)cnt[tmp]+=10,cnt[++tmp]--; while(cnt[len]==0&&len>1)len--; for(re i=len;i;--i)printf("%d",cnt[i]); } void Gauss(const int n, const int m){ for(re x=1,y=1;x<=n&&y<m;++x,++y){ int mx=x;for(re i=x+1;i<=n&&A[mx][y]==0;++i)mx=i; if(A[mx][y]==0){--x;modi();continue;} if(mx!=x)swap(A[mx],A[x]); for(re i=x+1;i<=n;++i) if(A[i][y]) A[i]^=A[x]; }prin(); return; } int 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map<int,int>mp; signed main() { cnt[1]=1;len=1; int n, Tot=0; scanf("%d",&n); for(re i=1;i<=n;++i) { int x;scanf("%d",&x); for(re j=1;j<=3432 && pri[j]<=x && x>1;++j) { if(x%pri[j]==0) { int tmp=0; while(x%pri[j]==0){tmp^=1;x/=pri[j];} if(tmp) { if(!mp.count(pri[j])) { mp[pri[j]]=++Tot; A[Tot][n+1]=0; } A[mp[pri[j]]][i]=1; } } } if(x>1) { if(!mp.count(x)) { mp[x]=++Tot; A[Tot][n+1]=0; } A[mp[x]][i]=1; } }Gauss(Tot+10,n+1); return 0; }
“考场莫嫌高精烦，后知后觉悔莫及”----《kzsn语录》kzsn
