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Problema C.

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Am si eu o problema de facultate de anul I. Cine ma poate ajuta, va rog?

Prime

Se consider? un num?r natural nenul n.

Cerin??

Scrie?i o func?ie care genereaz? toate posibilit??ile de scriere a lui n ca sum? de numere prime.

Exemplu

intrare |: 8

ie?ire : 2+2+2+2;2+3+3; 3+5

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#include <stdio.h>
#include <conio.h>
int n,x[100],v[100],m=0;

int prim(int n){
int i;
if(n==0 || n==1) return 0;
else if(n==2 || n==3) return 1;
else if(n%2==0) return 0;
for(i=3;i*i<=n;i+=2)
if(n%i==0) return 0;
return 1;
}
void afis(int n){
int i;
for(i=1;i<=n;i++)
printf("%d ",x[i]);
putchar('\n');
}

void back(int k,int sp){
int i;
for(i=1;i<=m;i++){
x[k]=v[i];
sp=sp+x[k];
if(sp<=n && x[k]>x[k-1]) if(sp==n) afis(k);
else back(k+1,sp);
sp=sp-x[k];
}
}

main(){
int i;
puts("\nDati n: "); scanf("%d",&n);
for(i=2;i<=n;i++) if(prim(i)) { m++;
v[m]=i;
}
back(1,0);
getch();
}

cam asta ar fi .. trebuie sa stapanesti conceptul de backtracking prima data , si abia apoi poti jongla cu asa ceva.

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