这题的思路就是找一个范围,看看这个范围是否可行
主流是二分Ans,我是先把点排序,求最小生成树检查首位的
Program P2110;
type
ed=record
u,v,w:longint;
end;
var
a:array[1..120,1..120] of longint;
edge:array[0..30000] of ed;
n,i,j,size,ans:longint;
now:longint;
father:array[0..10001] of longint;
b:array[0..121,0..121] of boolean;
procedure add(u,v,w:longint);
begin
inc(size);
edge[size].u:=u;
edge[size].v:=v;
edge[size].w:=w;
end;
procedure qsort(l,r:longint);
var
i,j,m:longint;
p:ed;
begin
i:=l;
j:=r;
m:=edge[(l+r) shr 1].w;
repeat
while edge[i].w<m do inc(i);
while edge[j].w>m do dec(j);
if i<=j then
begin
p:=edge[i];
edge[i]:=edge[j];
edge[j]:=p;
inc(i);
dec(j);
end;
until i>j;
if l<j then qsort(l,j);
if i<r then qsort(i,r);
end;
function getfather(x:longint):longint;
begin
if x=father[x] then exit(x);
father[x]:=getfather(father[x]);
exit(father[x]);
end;
function hash(x,y:longint):longint;
begin
exit((x-1)*n+y);
end;
begin
size:=0;
read(n);
for i:=1 to n do
for j:=1 to n do
begin
read(a[i,j]);
add(i,j,a[i,j]);
end;
// (0,n*n)
qsort(1,size);
edge[0].w:=edge[1].w-1;
ans:=110;
// writeln;
for i:=1 to size do
begin
if edge[i].w=edge[i-1].w then continue;
for j:=0 to n*n do father[j]:=j;
fillchar(b,sizeof(b),false);
for j:=i to size do
begin
b[edge[j].u,edge[j].v]:=true;
now:=hash(edge[j].u,edge[j].v);
if b[edge[j].u-1,edge[j].v] then
if getfather(now)<>getfather(now-n) then
begin
father[father[now]]:=father[father[now-n]];
if getfather(0)=getfather(n*n) then break;
end;
if b[edge[j].u+1,edge[j].v] then
if getfather(now)<>getfather(now+n) then
begin
father[father[now]]:=father[father[now+n]];
if getfather(0)=getfather(n*n) then break;
end;
if b[edge[j].u,edge[j].v+1] then
if getfather(now)<>getfather(now+1) then
begin
father[father[now]]:=father[father[now+1]];
if getfather(0)=getfather(n*n) then break;
end;
if b[edge[j].u,edge[j].v-1] then
if getfather(now)<>getfather(now-1) then
begin
father[father[now]]:=father[father[now-1]];
if getfather(0)=getfather(n*n) then break;
end;
if getfather(1)=getfather(n*n) then break;
end;
if getfather(1)<>getfather(n*n) then break;
if ans>edge[j].w-edge[i].w then ans:=edge[j].w-edge[i].w;
end;
writeln(ans);
end.