// UVa Problem 102 - Ecological Bin Packing
// Verdict: Accepted
// Submission Date: 2011-10-16
// UVa Run Time: 0.164s
//
// 版权所有(C)2011,邱秋。metaphysis # yeah dot net
//
// [解题方法]
// 三种颜色的排列只有六种可能,直接使用穷举法即可。
#include <iostream>
#include <sstream>
using namespace std;
#define MAXN 3
#define MAXTYPES 6
int bottles[MAXN][MAXN], total;
string sequences[MAXTYPES] = { "132", "123", "312", "321", "213", "231" };
string bins[MAXTYPES] = { "BCG", "BGC", "CBG", "CGB", "GBC", "GCB" };
int move(string sequence)
{
int movements = total;
for (int i = 0; i < sequence.length(); i++)
for (int j = 0; j < MAXN; j++)
if (j == i)
movements -= bottles[j][sequence[i] - '1'];
return movements;
}
int main(int ac, char *av[])
{
string line;
while (getline(cin, line))
{
istringstream iss(line);
total = 0;
for (int i = 0; i < MAXN; i++)
for (int j = 0; j < MAXN; j++)
{
iss >> bottles[i][j];
total += bottles[i][j];
}
int minimum = total, marker;
for (int i = 0; i < MAXTYPES; i++)
{
int movements = move(sequences[i]);
if (minimum > movements)
{
minimum = movements;
marker = i;
}
}
cout << bins[marker] << " " << minimum << endl;
}
return 0;
}