📄 p208.dpr
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{$A8,B-,C+,D+,E-,F-,G+,H+,I+,J-,K-,L+,M-,N+,O+,P+,Q-,R-,S-,T-,U-,V+,W-,X+,Y+,Z1}
{$MINSTACKSIZE $00004000}
{$MAXSTACKSIZE $00100000}
{$IMAGEBASE $00400000}
{$APPTYPE GUI}
Const
InFile = 'p208.in';
OutFile = 'p208.out';
Limit = 20;
LimitLen = 200;
Type
Tvisited = array[1..Limit , 1..Limit] of boolean;
Tcount = array[1..Limit * Limit] of longint;
lint = record
len : longint;
data : array[1..LimitLen] of longint;
end;
Var
visited : Tvisited;
count : Tcount;
answer : lint;
N , M , sum: longint;
procedure init;
begin
// assign(INPUT , InFile); ReSet(INPUT);
read(N , M);
// Close(INPUT);
end;
procedure change(var x , y : longint; times : longint);
var
nx , ny : longint;
begin
if times >= 2 then
begin
x := N - x + 1; y := M - y + 1;
dec(times , 2);
end;
if times <> 0 then
begin
ny := N - x + 1;
nx := y;
x := nx; y := ny;
end;
end;
procedure check(dx , dy , times : longint);
var
i , j , tot ,
x , y : longint;
begin
inc(sum);
fillchar(visited , sizeof(visited) , 0); tot := 0;
for i := 1 to N do
for j := 1 to M do
if not visited[i , j] then
begin
inc(tot);
x := i; y := j;
while not visited[x , y] do
begin
visited[x , y] := true;
x := (x + dx - 1) mod N + 1;
y := (y + dy - 1) mod M + 1;
change(x , y , times);
end;
end;
inc(count[tot]);
end;
procedure add(num1 , num2 : lint; var num3 : lint);
var
i , jw ,
tmp : longint;
begin
i := 1; jw := 0;
fillchar(num3 , sizeof(num3) , 0);
while (i <= num1.len) or (i <= num2.len) or (jw <> 0) do
begin
tmp := num1.data[i] + num2.data[i] + jw;
jw := tmp div 10;
num3.data[i] := tmp mod 10;
inc(i);
end;
num3.len := i - 1;
end;
procedure divide(var num1 : lint; num2 : longint);
var
last , i : longint;
begin
last := 0;
for i := num1.len downto 1 do
begin
last := last * 10 + num1.data[i];
num1.data[i] := last div num2;
last := last mod num2;
end;
while (num1.len > 1) and (num1.data[num1.len] = 0) do dec(num1.len);
end;
procedure work;
var
i , j : longint;
power : lint;
begin
fillchar(count , sizeof(count) , 0);
sum := 0;
for i := 0 to N - 1 do
for j := 0 to M - 1 do
begin
check(i , j , 0);
check(i , j , 2);
if N = M then
begin
check(i , j , 1);
check(i , j , 3);
end;
end;
fillchar(power , sizeof(power) , 0);
power.len := 1; power.data[1] := 1;
for i := 1 to N * M do
begin
add(power , power , power);
for j := 1 to count[i] do
add(answer , power , answer);
end;
divide(answer , sum);
end;
procedure out;
var
i : longint;
begin
// assign(OUTPUT , OutFile); ReWrite(OUTPUT);
for i := answer.len downto 1 do
write(answer.data[i]);
writeln;
// Close(OUTPUT);
end;
Begin
init;
work;
out;
End.
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