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Cod sursa(job #277966)
#include<algorithm>
#define DIM 5000001
#define BAZA 1000
using namespace std;
int n,b[DIM],c[DIM],sol[DIM];
int nrcif(int x){
int k;
for(k=0; x; x/=10,++k);
return k;}
void inm2(int b){
int i,t;
for(i=1,t=0; i<=sol[0]||t; t/=BAZA,++i)
sol[i]=(t+=sol[i]*b)%BAZA;
sol[0]=i-1;}
void inm1(){
int i,j,t;
memset(c,0,sizeof(c));
for(i=1; i<=b[0]; ++i){
for(j=1,t=0; j<=b[0]||t; t/=BAZA,++j)
c[i+j-1]=(t+=c[i+j-1]+b[i]*b[j])%BAZA;
if(i+j-2>c[0])
c[0]=i+j-2;}
memcpy(b,c,sizeof(c));}
void inm0(){
int i,j,t;
memset(c,0,sizeof(c));
for(i=1; i<=sol[0]; ++i){
for(j=1,t=0; j<=b[0]||t; t/=BAZA,++j)
c[i+j-1]=(t+=c[i+j-1]+sol[i]*b[j])%BAZA;
if(i+j-2>c[0])
c[0]=i+j-2;}
memcpy(sol,c,sizeof(c));}
void pow(int p){
for(b[1]=2,b[0]=sol[0]=sol[1]=1; p; p>>=1){
if(p&1)
inm0();
inm1();}}
void solve(){
int i,j;
scanf("%d",&n);
pow(n*n);
inm2(n);
for(printf("%d",sol[sol[0]]),i=sol[0]-1; i; --i){
for(j=3-nrcif(sol[i]); j; --j)
printf("0");
printf("%d",sol[i]);}}
int main(){
freopen("patrate2.in","r",stdin);
freopen("patrate2.out","w",stdout);
solve();
return 0;}