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import std.stdio;
import std.math;
import std.string;
import std.file;
import std.regex;
struct rationnel{
int num;
int den;
};
alias rationnel rat;
int main(){
int n;
write("n : ");
readf(" %s",&n);
SB(n);
return 0;
}
void SB(int n){
int cn = 0;
File file = File("0.txt","w");
file.write("0/1\n1/0");
file.close;
while(cn < n)
{
writeln("Generating SB(",cn+1,").");
File from = File(_cast(cn)~".txt","r");
File to = File(_cast( cn+1)~".txt","w");
string A;
string B;
A = chomp(from.readln());
rat a = extract(A);
rat b;
to.write(A);
while(!from.eof())
{
B = chomp(from.readln());
b = extract(B);
rat q = oplus(a,b);
to.write("\n",q.num,"/",q.den,"\n");
to.write(B);
a = b;
}
from.close;
to.close;
cn++;
}
}
string _cast ( int n){
string s;
if (n==0) return "0";
int nb = cast (int) trunc(log(cast (real) n)/log(10));
int [] num;
while(nb>=0)
{
num ~= n / 10^^(nb);
n -= num[$-1]*10^^(nb);
nb--;
}
char [] c;
foreach(i; num)
{
switch (i)
{
case 0 : c ~= '0';
break;
case 1 : c ~= '1';
break;
case 2 : c ~= '2';
break;
case 3 : c ~= '3';
break;
case 4 : c ~= '4';
break;
case 5 : c ~= '5';
break;
case 6 : c ~= '6';
break;
case 7 : c ~= '7';
break;
case 8 : c ~= '8';
break;
case 9 : c ~= '9';
break;
default : writeln("Bad symbol encountered : ", i,".");
break;
}
}
return cast (string) c;
}
int __cast(string s){
char [] c = cast (char[]) s;
int [] num;
foreach(i; c)
{
switch (i)
{
case '0' : num ~= 0;
break;
case '1' : num ~= 1;
break;
case '2' : num ~= 2;
break;
case '3' : num ~= 3;
break;
case '4' : num ~= 4;
break;
case '5' : num ~= 5;
break;
case '6' : num ~= 6;
break;
case '7' : num ~= 7;
break;
case '8' : num ~= 8;
break;
case '9' : num ~= 9;
break;
default : writeln("Bad symbol encountered : ", i,".");
break;
}
}
num = num.reverse;
int a = 0;
for (int i = 0; i<num.length; i++)
{
a += num[i] * 10^^i;
}
return a;
}
rat extract(string s){
s = chomp(s);
auto r = regex("([0-9]+)/([0-9]+)$");
auto m = match(s, r);
return simple(rat(__cast( m.captures[1]),__cast( m.captures[2])));
}
rat oplus(rat q1, rat q2){
q1 = simple(q1);
q2 = simple(q2);
return simple(rat(q1.num + q2.num, q1.den + q2.den));
}
int pgcd (int a, int b){
int r = 1;
if (a == 0 && b== 0) return 1;
if (a == 0) return b;
if (b == 0) return a;
while(r != 0)
{
r = a % b;
a = b;
b = r;
}
return a;
}
rat simple(rat q){
int g = pgcd(q.num, q.den);
return rat(q.num/g , q.den / g);
} |
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