参考了USACO上的提示:
1. 最大传动比率至少是最小的3倍。这个其实不用算出比率再判断,只要不满足s1[F]/s2[1]-s1[1]/s2[R]>=3的都剪掉 .
2. 用memcpy函数会更快.
3. 用插入排序对于规模较小的数据速度比较客观.
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/**//*
ID: lorelei3
TASK: cowcycle
LANG: C++
*/
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#include <fstream>
#include <memory.h>
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using namespace std;
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const int MAX = 100;
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int F, R, F1, F2, R1, R2;
int s1[MAX], s2[MAX];
int ans1[MAX], ans2[MAX];
double rate[MAX*MAX], diff[MAX*MAX];
double minf = 0x7FFFFFFF;
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void count()
{
int i,j,k=0;
double sum1=0, sum2=0, t=0;
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for(i=1; i<=F; ++i)
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for(j=1; j<=R; ++j)
{
t = (double)s1[i]/s2[j];
int p=++k;
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while(rate[p-1]>=t)
{
rate[p] = rate[p-1];
p--;
}
rate[p] = t;
}
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int cnt = F*R;
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for(i=1; i<=cnt-1; ++i)
{
diff[i] = rate[i+1] - rate[i];
sum1 += diff[i];
}
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double mean = sum1/(cnt-1);
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for(i=1; i<=cnt-1; ++i)
sum2+=(diff[i]-mean)*(diff[i]-mean);
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double var = sum2/cnt-1;
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if(var<minf)
{
minf = var;
memcpy(ans1+1, s1+1, sizeof(int)*F);
memcpy(ans2+1, s2+1, sizeof(int)*R);
}
}
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void dfs2(int k, int w)
{
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if(k==R+1)
{
if(s1[F]*s2[R]<3*(s1[1]*s2[1]) )
return;
count();
return;
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}else
{
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for(int i=w; i<=R2-(R-k); ++i)
{
s2[k]=i;
dfs2(k+1, i+1);
}
}
}
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void dfs1(int k, int w)
{
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if(k==F+1)
{
dfs2(1, R1);
return;
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}else
{
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for(int i=w; i<=F2-(F-k); ++i)
{
s1[k]=i;
dfs1(k+1, i+1);
}
}
}
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int main()
{
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ifstream fin("cowcycle.in");
ofstream fout("cowcycle.out");
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fin>>F>>R>>F1>>F2>>R1>>R2;
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dfs1(1,F1);
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int i;
for(i=1; i<=F-1; ++i)
fout<<ans1[i]<<" ";
fout<<ans1[F]<<endl;
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for(i=1; i<=R-1; ++i)
fout<<ans2[i]<<" ";
fout<<ans2[R]<<endl;
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return 0;
}
posted on 2011-01-26 12:03
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