bzoj 1059 二分图匹配
我们知道,对于每一行来说,交换行,是不改变这行的状态的,
交换列只是改变颜色的顺序,对于颜色的个数也没有改变,列
也同样存在这一性质
那么最后我们要求的是主对角线上都是黑色,也就是每行选一个黑
色的,且任意两行选的黑色的不在同一列,我们构造一张二分图,
图的一边是行,另一边是列,所以对于每个黑点连边,二分图匹配即可
//By BLADEVIL var t :longint; i :longint; pre, other :array[0..40010] of longint; last :array[0..300] of longint; l :longint; flag :array[0..300] of boolean; link :array[0..300] of longint; procedure connect(x,y:longint); begin inc(l); pre[l]:=last[x]; last[x]:=l; other[l]:=y; end; function find(x:longint):boolean; var q, p :longint; begin q:=last[x]; while q<>0 do begin p:=other[q]; if not flag[p] then begin flag[p]:=true; if (link[p]=0) or (find(link[p])) then begin link[p]:=x; exit(true); end; end; q:=pre[q]; end; exit(false); end; procedure main; var n :longint; i, j :longint; x :longint; begin read(n); l:=0; fillchar(last,sizeof(last),0); for i:=1 to n do for j:=1 to n do begin read(x); if x=1 then connect(i,j); end; fillchar(link,sizeof(link),0); for i:=1 to n do begin fillchar(flag,sizeof(flag),false); if not find(i) then begin writeln('No'); exit; end; end; writeln('Yes'); end; begin read(t); for i:=1 to t do main; end.