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- #include <bits/stdc++.h>
- using namespace std;
- #define PB push_back
- #define ZERO (1e-10)
- #define INF (1<<29)
- #define CL(A,I) (memset(A,I,sizeof(A)))
- #define DEB printf("DEB!\n");
- #define D(X) cout<<" "<<#X": "<<X<<endl;
- #define EQ(A,B) (A+ZERO>B&&A-ZERO<B)
- typedef long long ll;
- typedef long double ld;
- typedef pair<ll,ll> pll;
- typedef vector<int> vi;
- typedef pair<int,int> ii;
- typedef vector<ii> vii;
- #define IN(n) int n;scanf("%d",&n);
- #define FOR(i, m, n) for (int i(m); i < n; i++)
- #define REP(i, n) FOR(i, 0, n)
- #define F(n) REP(i, n)
- #define FF(n) REP(j, n)
- #define FT(m, n) FOR(k, m, n)
- #define aa first
- #define bb second
- void ga(int N,int *A){F(N)scanf("%d",A+i);}
- int brt(int*A,int N){
- sort(A,A+N);
- int S=0,B=0;
- do{
- S=0;
- F(N-1)S+=abs(A[i]-A[i+1]);
- B=max(B,S);
- }while(next_permutation(A,A+N));
- return B;
- }
- #define MX (55)
- #define DV (10000)
- #define TEMP 1e5
- #define CRT .99995
- #define PRC (4)
- int nxt(int*A,int N,int&I){
- I=rand()%(N-1);
- int S=0;
- if(I)S-=abs(A[I]-A[I-1]);
- if(I<N-2)S-=abs(A[I+1]-A[I+2]);
- swap(A[I],A[I+1]);
- if(I)S+=abs(A[I]-A[I-1]);
- if(I<N-2)S+=abs(A[I+1]-A[I+2]);
- return S;
- }
- int solANL(int*A,int N){
- if(N<11)return brt(A,N);
- double T=TEMP,d,c=CRT,a=1e-5;
- int S=0,C=0,B,I;
- random_shuffle(A,A+N);
- F(N-1)C-=abs(A[i]-A[i+1]);
- while(T>a){
- B=C-nxt(A,N,I);
- d=B-C;
- if(d<0||exp(-d/T)>(rand()%DV*1./DV))
- S=min(S,C=B);
- else swap(A[I],A[I+1]);
- T*=c;
- }
- return -S;
- }
- int main(void){
- int N,A[MX];
- srand(time(0));
- IN(_)F(_){
- scanf("%d",&N),ga(N,A);
- printf("Case %d: %d\n",i+1,solANL(A,N));
- }
- return 0;
- }
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