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Discussion of Problem 1015. Test the Difference!

1<=N<=10**5???????????????????????????
Posted by Fu Hao 5 Feb 2005 16:25
What's the range of N?
1<=N<=10*5?
1<=N<=10^5?
1<=N<=100000
Posted by Vlad Veselov [PMG17,Vinnitsa - KNU,Kiev] 5 Feb 2005 17:10
Re: 1<=N<=100000
Posted by Fu Hao 6 Feb 2005 12:54
1<=N<=100000?
I supposed 1<=N<=10000... and my program got AC...

program ural1015;
const ps:array[1..6,0..4] of byte=
      ((2,3,4,5,6),(1,6,5,4,3),(5,1,6,2,4),(6,1,3,2,5),(3,2,6,1,4),(4,5,2,3,1));
type dicetype=array[1..6] of byte;
var dice:array[1..10000] of dicetype;
    ans:array[1..10000] of byte;
    n,i,j,k:longint;
function compare(a,b:dicetype):boolean;
var i,j,k,p:longint;
    temp:array[1..6] of byte;
    s1,s2:string[4];
begin
    compare:=false;
    for i:=1 to 6 do
        temp[a[i]]:=ps[a[i],0];
    for i:=1 to 6 do
        if ps[b[i],0]<>temp[b[i]] then exit;
    for p:=1 to 3 do
    begin
        case p of
        1:i:=1;
        2:i:=3;
        3:i:=4;
        end;
        s1:='';
        s2:='';
        for k:=1 to 6 do
            if b[k]=a[i] then break;
        for j:=1 to 4 do
        begin
            s1:=s1+chr(a[ps[i,j]]+48);
            s2:=s2+chr(b[ps[k,j]]+48);
        end;
//        writeln(s1,' ',s2);
        j:=pos(s1[1],s2);
        if j=0 then exit;
        s2:=copy(s2,j,5-j)+copy(s2,1,j-1);
        if s1<>s2 then exit;
//        writeln(s1,' ',s2);
    end;
    compare:=true;
end;

begin
//    assign(input,'ural1015.in');
//    reset(input);
    readln(n);
    fillchar(dice,sizeof(dice),0);
    for i:=1 to n do
    begin
        for j:=1 to 6 do
            read(dice[i,j]);
        readln;
    end;
    fillchar(ans,sizeof(ans),0);
    k:=0;
    for i:=1 to n do
        if ans[i]=0 then
        begin
            inc(k);
            for j:=i+1 to n do
                if compare(dice[i],dice[j]) then ans[j]:=i;
        end;
    writeln(k);
    for i:=1 to n do
        if ans[i]=0 then
        begin
            write(i);
            for j:=i+1 to n do
                if ans[j]=i then write(' ',j);
            writeln;
        end;
//    close(input);
end.
It is a khown problem of timus... Tests are much smaller than assumptions in description.
Posted by Vlad Veselov [PMG17,Vinnitsa - KNU,Kiev] 7 Feb 2005 19:03
I submitted my solution with maxN = 10000
Posted by Gleb Grenkin 26 Aug 2005 03:33
I'm surprised!
At first I submitted my solution with maxN = 100000 and I got MLE.
Then I submitted with maxN = 10000 and I got AC.

There is no max tests!!!
Re: 1<=N<=100000
Posted by Gleb Grenkin 26 Aug 2005 03:38
To Fu Hao:

Your solution work for time O(N^2).
O(N) algotithm is needed in this task!

I converted all dice to common view and filled 4-dimension matrix, building linked lists for every type (sum memory spending for lists is O(N)).
That's all.