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Cod sursa(job #31006)
# include <stdio.h>
long long int k;
int n,a,b;
const int MAXN=100;
long long int c[MAXN+10][2];
int min(int a, int b) {if (a>b) return b; return a;}
void calculeaza()
{
int i,j;
c[0][0]=1;c[0][1]=1;
for (i=1;i<=n;i++)
{
c[i][0]=c[i][1]=0;
for (j=1;j<=min(i,a);j++) c[i][0]+=c[i-j][1];
for (j=1;j<=min(i,b);j++) c[i][1]+=c[i-j][0];
}
}
void citire()
{
FILE *f=fopen("pavare2.in","r");
fscanf(f,"%d%d%d",&n,&a,&b);
fscanf(f,"%lld",&k);
fclose(f);
}
void scrie()
{
FILE *g=fopen("pavare2.out","w");
fprintf(g,"%lld\n",c[n][1]+c[n][0]);
int x=n,nr0=0,nr1=0,j;
if (k==1)
{
nr0=0;
while (x)
{
if (nr0<=a) {fprintf(g,"0");nr0++;}
else {fprintf(g,"1");nr0=0;}
x--;
}
}
else
while (x)
{
if (c[x][0]>=k)
{
fprintf(g,"0");
nr0++;
nr1=0;
}
else
{
fprintf(g,"1");
k-=c[x][0];
nr0=0;
nr1++;
}
x--;
///trebuie recalculat c[x][ceva]
if (nr0)
{
c[x][0]=0;
for (j=1;j<=min(a-nr0,x);j++) c[x][0]+=c[x-j][1];
}
else
{
c[x][1]=0;
for (j=1;j<=min(b-nr1,x);j++) c[x][1]+=c[x-j][0];
}
}
fprintf(g,"\n");
fcloseall();
}
int main()
{
citire();
calculeaza();
scrie();
return 0;
}