usaco-3.2-ratios-pass

这个配比问题，呵呵，线性代数知识，枚举吧，这个数量小。

/*
ID: qq104801
LANG: C++
TASK: ratios
*/

#include <iostream>
#include <fstream>
#include <bitset>
#include <cstdio>
#include <algorithm>

using namespace std;

int goal[3];
int ii[3][3];
int ans[4];
int minsum=100000;

inline int asum(int in,int i,int j,int k)
{
    return ii[0][in]*i+ii[1][in]*j+ii[2][in]*k;
}

inline int xsum(int i,int j,int k)
{
    return asum(0,i,j,k)+asum(1,i,j,k)+asum(2,i,j,k);
}

void test()
{    
    freopen("ratios.in","r",stdin);
    freopen("ratios.out","w",stdout);
    int isum=0;
    for(int i=0;i<3;i++)
    {
        cin>>goal[i];
        isum+=goal[i];
    }
    for(int i=0;i<3;i++)
        for(int j=0;j<3;j++)
            cin>>ii[i][j];
    if(isum==0)
    {
        cout<<"0 0 0 0"<<endl;
        return;
    }

    for(int i=0;i<100 && i<minsum;i++)
        for(int j=0;j<100 && j<minsum;j++)
            for(int k=0;k<100 && k<minsum;k++)
            {
                if(i+j+k==0)continue;
                int cc[3];
                for(int c=0;c<3;c++)
                    cc[c]=asum(c,i,j,k);
                if(cc[0]*goal[1]!=cc[1]*goal[0])continue;
                if(cc[1]*goal[2]!=cc[2]*goal[1])continue;
                if(cc[0]<goal[0] || cc[1]<goal[1] 
                    || cc[2]<goal[2]) continue;
                minsum=i+j+k;
            ans[0]=i;ans[1]=j;ans[2]=k;
            ans[3]=xsum(i,j,k)/isum;
            }
            if(ans[0]+ans[1]+ans[2]==0)
            {
                cout<<"NONE"<<endl;
                return;
            }
            cout<<ans[0]<<" "<<ans[1]<<" "<<ans[2]<<" "<<ans[3]<<endl;
}

int main () 
{        
    test();        
    return 0;
}

test data:

USACO Training
Grader Results     
10 users online
CHN/4 USA/6

USER: cn tom [qq104801]
TASK: ratios
LANG: C++

Compiling...
Compile: OK

Executing...
   Test 1: TEST OK [0.008 secs, 3376 KB]
   Test 2: TEST OK [0.011 secs, 3376 KB]
   Test 3: TEST OK [0.008 secs, 3376 KB]
   Test 4: TEST OK [0.022 secs, 3376 KB]
   Test 5: TEST OK [0.027 secs, 3376 KB]
   Test 6: TEST OK [0.011 secs, 3376 KB]

All tests OK.

YOUR PROGRAM ('ratios') WORKED FIRST TIME! That's fantastic -- and a rare thing. Please accept these special automated congratulations.

Here are the test data inputs:

------- test 1 ----
5 8 0
3 5 4
1 3 0
6 2 0
------- test 2 ----
3 4 5
1 2 3
3 7 1
2 1 2
------- test 3 ----
20 22 24
4 5 5
9 5 6
12 12 14
------- test 4 ----
80 85 80
98 97 96
89 87 88
78 79 80
------- test 5 ----
99 99 99
1 0 0
0 1 0
0 0 1
------- test 6 ----
93 95 97
98 0 0
0 98 0
0 0 98

Keep up the good work!
Thanks for your submission!