📄 p159.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}
{$R+,Q+,S+}
Const
InFile = 'p159.in';
OutFile = 'p159.out';
Limit = 2010;
LimitBase = 36;
LimitAnswer
= 10;
LimitIndex = 10000;
Type
lint = record
len : integer;
data : array[1..Limit] of integer;
end;
Tdata = array[0..1] of
record
total : integer;
data : array[1..LimitAnswer] of
record
num , square : lint;
end;
end;
Tsquares = array[0..LimitBase] of lint;
Tindex = array[0..LimitIndex] of integer;
Var
data : Tdata;
squares : Tsquares;
modnum ,
divnum : Tindex;
N , B ,
now : integer;
procedure init;
var
i : integer;
begin
// assign(INPUT , InFile); ReSet(INPUT);
read(B , N);
// Close(INPUT);
for i := 0 to LimitIndex do
begin
modnum[i] := i mod B;
divnum[i] := i div B;
end;
end;
procedure times(const num1 : lint; num2 , start : integer; var num3 : lint);
var
i , jw , tmp
: integer;
begin
fillchar(num3 , sizeof(num3) , 0);
i := 1; jw := 0;
while (i + start <= Limit) and ((i <= num1.len) or (jw <> 0)) do
begin
tmp := num1.data[i] * num2 + jw;
jw := divnum[tmp];
num3.data[i + start] := modnum[tmp];
inc(i);
end;
num3.len := i - 1 + start;
if num3.len > Limit then
num3.len := Limit;
end;
procedure add(const num1 , num2 , num3 : lint; var num4 : lint);
var
i , jw ,
tmp : integer;
begin
fillchar(num4 , sizeof(num4) , 0);
i := 1; jw := 0;
while (i <= Limit) and ((i <= num1.len) or (i <= num2.len) or (i <= num3.len) or (jw <> 0)) do
begin
tmp := num1.data[i] + num2.data[i] + num3.data[i] + jw;
jw := divnum[tmp];
num4.data[i] := modnum[tmp];
inc(i);
end;
num4.len := i - 1;
if num4.len > Limit then
num4.len := Limit;
end;
procedure work;
var
i , j , k ,
p , tmp : integer;
sum : lint;
begin
fillchar(sum , sizeof(sum) , 0);
fillchar(data , sizeof(data) , 0);
now := 0;
for i := 0 to B - 1 do
if i * i mod B = i then
begin
inc(data[now].total);
with data[now].data[data[now].total] do
begin
num.len := 1;
num.data[1] := i;
times(num , i , 0 , square);
end;
end;
for i := 0 to B - 1 do
begin
squares[i].len := 0;
p := i * i;
while p <> 0 do
begin
inc(squares[i].len);
squares[i].data[squares[i].len] := modnum[p];
p := divnum[p];
end;
if squares[i].len = 0 then
squares[i].len := 1;
end;
for i := 2 to N do
begin
for k := 0 to B - 1 do
begin
inc(squares[k].len , 2);
j := squares[k].len - 2;
for p := 1 to 2 do
if (j > 0) and (j + 2 <= Limit) then
begin
squares[k].data[j + 2] := squares[k].data[j];
squares[k].data[j] := 0;
dec(j);
end;
end;
now := 1 - now;
data[now].total := 0;
for j := 1 to data[1 - now].total do
for k := 0 to B - 1 do
if (data[1 - now].data[j].num.data[1] * 2 * k + data[1 - now].data[j].square.data[i]) mod B = k then
begin
inc(data[now].total);
data[now].data[data[now].total].num := data[1 - now].data[j].num;
inc(data[now].data[data[now].total].num.len);
tmp := data[now].data[data[now].total].num.len;
data[now].data[data[now].total].num.data[tmp] := k;
times(data[1 - now].data[j].num , 2 * k , i - 1 , sum);
add(sum , data[1 - now].data[j].square , squares[k] , data[now].data[data[now].total].square);
end;
end;
end;
procedure print(var num : lint);
var
i : integer;
begin
for i := num.len downto 1 do
if num.data[i] < 10 then
write(num.data[i])
else
write(chr(num.data[i] - 10 + ord('A')));
writeln;
end;
procedure out;
var
i , sum : integer;
begin
// assign(OUTPUT , OutFile); ReWrite(OUTPUT);
sum := 0;
for i := 1 to data[now].total do
if (N = 1) or (data[now].data[i].num.data[N] <> 0) then
inc(sum);
writeln(sum);
for i := 1 to data[now].total do
if (N = 1) or (data[now].data[i].num.data[N] <> 0) then
print(data[now].data[i].num);
// Close(OUTPUT);
end;
Begin
init;
work;
out;
End.
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