Cod sursa(job #464849)

Utilizator mariusdrgdragus marius mariusdrg Data 22 iunie 2010 10:18:21
Problema Minim2 Scor Ascuns
Compilator cpp Status done
Runda Marime 1.63 kb
#include<algorithm>
#include<stdio.h>
#include<math.h>
const int maxn = 100100;
long double eps = 1E-4;

using namespace std;

long double V[maxn];
long double ALFA,BETA,VAL;
int N;

long double ridic(long double val, int put)
{
	long double val1 = val,rez = 1;
	for(int i = 1;i <= put; i *= 2,val1 = val1 * val1)
		if (i & put) rez = rez * val1;
	return rez;
	
}

int ver(long double val)
{
	long double s = 0;
	for(int i = 1;i <= N; ++i)
	{
		long double aux = V[i];
		if (aux * (1 - ALFA) >= val)
		{
			aux = aux * ALFA;
			if (aux * (1 - BETA) >= val)
			{
				int nrm = (log(val) - log( aux ) - log (1.0 - BETA)) / log(BETA);
				aux *= ridic(BETA,nrm);
				while (aux * (1 - BETA) >= val)
				{
					aux *= BETA;
				}			
			}
		}
		s += aux;
	}
	return s <= VAL;
}

int moves(long double val)
{
	long double s = 0;
	int rasp = 0;	
	for(int i = 1;i <= N; ++i)
	{
		long double aux = V[i];
		if (aux * (1 - ALFA) >= val)
		{
			aux = aux * ALFA;
			rasp++;
			if (aux * (1 - BETA) >= val)
			{
				int nrm = (long double)log(val / aux / (1.0 - BETA)) / log(BETA);
				aux *= ridic(BETA,nrm);
				rasp += nrm;
				while(aux * (1 - BETA) >= val)
				{
					aux *= BETA;
					rasp++;				
				}			
			}
		}
		s += aux;
	}
	return rasp;
}


int main()
{
	freopen("minim2.in","r",stdin);
	freopen("minim2.out","w",stdout);
	scanf("%d\n",&N);
	long double dr = 0,st = 0;
	for(int i = 1;i <= N; ++i)
	{
		scanf("%llf ", &V[i]);
		dr = max(dr,(long double)V[i]);
	}	
	scanf("%llf %llf %llf\n",&ALFA,&BETA,&VAL);
	while(fabs(dr - st) >= eps)
	{
		long double mid = 0.5 * (st + dr);
		if (ver(mid)) st = mid;
			else dr = mid;
	}	
	printf("%d\n",moves(st));
	return 0;
}