50 lines
1.4 KiB
C++
50 lines
1.4 KiB
C++
#include <stdio.h>
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#include <string.h>
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#include <math.h>
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#define inf 1e9;
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int h,in[210];
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double e[210][210];
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double dp[210][210];
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double min(double a,double b){
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return a>b?b:a;
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}
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int main(){
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int t,T,h,c,i,j,k;
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scanf("%d",&T);
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for(t=1;t<=T;t++){
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scanf("%d %d",&h,&c);
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for(i=1;i<=h;i++)
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scanf("%d",&in[i]);
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for(i=1;i<=h;i++)
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for(j=i;j<=h;j++){
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if(j==i){
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e[i][j]=0;
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continue;
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}
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double tem =(double)(in[j]-in[i])/(j-i);
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double sum=0;
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for(int k=i+1;k<j;k++)
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sum+=fabs(tem*(k-i)+in[i]-in[k]);
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e[i][j]=sum;
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}
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for(i=1;i<=h;i++)
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for(j=1;j<=c;j++){
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dp[i][j] = inf;
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}
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for(i=2;i<=h;i++){
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for(j=2;j<=c && j<=i;j++){
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if(j==2){
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dp[i][j]=e[1][i];
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continue;
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}
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for(k=2;k<i;k++){
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if(k>=j-1){
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dp[i][j]=min(dp[i][j],dp[k][j-1]+e[k][i]);
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}
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}
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}
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}
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printf("%.4f\n",dp[h][c]/h);
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}
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}
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