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.
原文地址:https://www.cnblogs.com/BLADEVIL/p/3490068.html