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- #include <iostream>
- #include <cstring>
- using namespace std;
- #define NMax 1000
- typedef int Huge[NMax+3];
- void AtribValue(Huge H, unsigned long X) {
- H[0] = 0;
- while (X) {
- ++H[0];
- H[H[0]] = X % 10;
- X /= 10;
- }
- }
- void CopyValue(Huge A,Huge B) /// A <- B
- {
- for(int i=0;i<=B[0];++i)
- A[i]=B[i];
- }
- void Shl(Huge H, int Count)
- /* H <- H*10ACount */
- {
- /* Shifteaza vectorul cu Count pozitii */
- memmove(&H[Count+1],&H[1],sizeof(int)*H[0]);
- /* Umple primele Count pozitii cu 0 */
- memset(&H[1],0,sizeof(int)*Count);
- /* Incrementeaza numarul de cifre */
- H[0]+=Count;
- }
- void Shr(Huge H, int Count)
- /* H <- H/10ACount */
- {
- /* Shifteaza vectorul cu Count pozitii */
- memmove(&H[1],&H[Count+1],sizeof(int)*(H[0]-Count));
- /* Decrementeaza numarul de cifre */
- H[0]-=Count;
- }
- void Add(Huge A, Huge B)
- /* A <- A+B */
- { int i,T=0;
- if (B[0]>A[0])
- { for (i=A[0]+1;i<=B[0];) A[i++]=0;
- A[0]=B[0];
- }
- else for (i=B[0]+1;i<=A[0];) B[i++]=0;
- for (i=1;i<=A[0];i++)
- { A[i]+=B[i]+T;
- T=A[i]/10;
- A[i]%=10;
- }
- if (T) A[++A[0]]=T;
- }
- void MultHuge(Huge A, Huge B, Huge C)
- /* C <- A x B */
- { int i,j,T=0;
- C[0]=A[0]+B[0]-1;
- for (i=1;i<=A[0]+B[0];) C[i++]=0;
- for (i=1;i<=A[0];i++)
- for (j=1;j<=B[0];j++)
- C[i+j-1]+=A[i]*B[j];
- for (i=1;i<=C[0];i++)
- { T=(C[i]+=T)/10;
- C[i]%=10;
- }
- if (T) C[++C[0]]=T;
- }
- unsigned long Divide(Huge A, unsigned long X)
- /* A <- A/X si intoarce A%X */
- { int i;
- unsigned long R=0;
- for (i=A[0];i;i--)
- { A[i]=(R=10*R+A[i])/X;
- R%=X;
- }
- while (!A[A[0]] && A[0]>1) A[0]--;
- return R;
- }
- int Sgn(Huge H1, Huge H2) {
- // Elimina zero-urile semnificative, daca exista.
- while (H1[0] && !H1[H1[0]]) H1[0]--;
- while (H2[0] && !H2[H2[0]]) H2[0]--;
- if (H1[0] < H2[0]) {
- return -1;
- } else if (H1[0] > H2[0]) {
- return +1;
- }
- for (int i = H1[0]; i > 0; --i) {
- if (H1[i] < H2[i]) {
- return -1;
- } else if (H1[i] > H2[i]) {
- return +1;
- }
- }
- return 0;
- }
- void Subtract(Huge A, Huge B)
- /* A <- A-B */
- { int i, T=0;
- for (i=B[0]+1;i<=A[0];) B[i++]=0;
- for (i=1;i<=A[0];i++)
- A[i]+= (T=(A[i]-=B[i]+T)<0) ? 10 : 0;
- /* Adica A[i]=A[i]-(B[i]+T);
- if (A[i]<0) T=1; else T=0;
- if (T) A[i]+=10; */
- while (!A[A[0]]) A[0]--;
- }
- void DivideHuge(Huge A, Huge B)
- /* A/B = C rest R */
- { int i;
- Huge C,R;
- R[0]=0;C[0]=A[0];
- for (i=A[0];i;i--)
- { Shl(R,1);R[1]=A[i];
- C[i]=0;
- while (Sgn(B,R)!=1)
- { C[i]++;
- Subtract(R,B);
- }
- }
- while (!C[C[0]] && C[0]>1) C[0]--;
- CopyValue(A,C);
- }
- /*
- float radical(float a)
- {
- // avand valoarea egala cu precizia dorita in calculul radicalului
- float xn1=1, xn=(1+xn1)/2;
- do { xn1=xn;
- xn = (xn1+a/xn1)/2;
- } while (fabs(xn-xn1)>eps);
- // fabs(x) = |x|, unde x este numar real
- return xn;
- // rezultatul este ultimul termen calculat al sirului
- }
- */
- void radical(Huge A,Huge XN)
- {
- Huge XN1,C;
- AtribValue(XN1,1);
- AtribValue(XN,2);
- int semn;
- do
- {
- CopyValue(C,A);
- DivideHuge(C,XN1);
- CopyValue(XN,XN1);
- Add(XN,C);
- Divide(XN,2);
- semn=Sgn(XN,XN1);
- } while(semn==-1);
- }
- void Afisare(Huge A)
- {
- for(unsigned int i=A[0];i>=1;--i)
- cout<<A[i];
- cout<<'\n';
- }
- int main()
- {
- char s[30];
- Huge n,m;
- cin>>s;
- unsigned int L=strlen(s);
- for(unsigned int i=0;i<L;++i)
- n[L-i]=s[i]-'0';
- n[0]=L;
- cin>>s;
- L=strlen(s);
- for(unsigned int i=0;i<L;++i)
- m[L-i]=s[i]-'0';
- m[0]=L;
- Afisare(n);
- Afisare(m);
- Huge RAD;
- radical(n,RAD);
- cout<<RAD[0];
- Afisare(RAD);
- return 0;
- }
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