9
4
2013
1

【BZOJ1041】【HAOI2008】圆上的整点【数学题】

瞎搞搞,用勾股定理的通式

program p1041;
	var
		len,tot,r,i,j:longint;
		x:array[1..10000,1..2] of longint;
	function find(k:longint):longint;
		var	
			i,j,a,b,num,c,d:longint;
			bo:boolean;
		begin
			num:=0;
			for i:=2 to trunc(sqrt(k)) do
				if sqr(trunc(sqrt(k-i*i)))=k-i*i then begin
					a:=trunc(sqrt(k-i*i));
					b:=i;
					if (a<=b) or (a=0) or (b=0) then continue;
					c:=2*a*b; d:=a*a-b*b;
					a:=c; b:=d;
					if a>b then begin j:=a; a:=b; b:=j; end;
					bo:=false;
					for j:=1 to len do begin
						if a/x[j,1]=b/x[j,2] then begin
							bo:=true; break;
						end;
					end;
					if bo=false then begin
						num:=num+2;
						inc(len);
						x[len,1]:=a; x[len,2]:=b;
					end;
				end;
			exit(num);
		end;
	begin
		readln(r);
		tot:=1; len:=0;
		for i:=1 to trunc(sqrt(r)) do
			if r mod i=0 then begin
				if i<>r div i then
					tot:=tot+find(i)+find(r div i)
				else 
					tot:=tot+find(i);
			end;
		tot:=tot*4;
		writeln(tot);
	end.
Category: 数学题 | Tags: | Read Count: 2287
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2022年8月17日 02:31

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