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#include<cstdio> #include<cstdlib> #include<cmath> #include<cstring> #include<algorithm> #define rep(i,x,y) for(register int i=x;i<=y;++i) #define repd(i,x,y) for(register int i=x;i>=y;--i) #define ll long long using namespace std; const int N=1e4+7; const int M=5e3+7; int dp[M][N],a[N]; int n,m,T,q[N]; inline int (ll x){return x*x;} inline void init(){ scanf("%d%d",&n,&m); rep(i,1,n)scanf("%d",&a[i]); sort(a+1,a+n+1); rep(i,1,n)dp[1][i]=Pow(a[i]-a[1]); } inline int Y(int x,int y,int c){return dp[c][x]+Pow(a[x+1])-(dp[c][y]+Pow(a[y+1]));} inline int X(int x,int y){return a[x+1]-a[y+1]<<1;} int main(){ scanf("%d",&T); rep(cnt,1,T){ init(); rep(j,2,m){ int head=1,tail=1; rep(i,2,n){ while(head<tail&&Y(q[tail],i-1,j-1)*X(q[tail-1],q[tail])<=Y(q[tail-1],q[tail],j-1)*X(q[tail],i-1))--tail; q[++tail]=i-1; while(head<tail&&Y(q[head+1],q[head],j-1)<=X(q[head+1],q[head])*a[i])++head; dp[j][i]=dp[j-1][q[head]]+Pow(a[i]-a[q[head]+1]); } } printf("Case %d: %dn",cnt,dp[m][n]); } return 0; }
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