n个人过河,船每次只能坐两个人,船载每个人过河的所需时间不同,回来的时间单独计算,问最快的过河时间。
贪心保证每次把最慢和次慢的2个人运到对岸。
import java.io.BufferedReader;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.Arrays;
import java.util.StringTokenizer;
public class Main {
public static void main(String[] args) {
new Task().solve() ;
}
}
class Task{
InputReader in = new InputReader(System.in) ;
PrintWriter out = new PrintWriter(System.out) ;
long sum(int left , int right , int[] num){
if(left == right || right == left + 1) return num[right] ;
else if(right == left + 2) return num[left] + num[left+1] + num[left+2] ;
else{
long way1 = (num[right] + num[left] + num[right-1] + num[left]) ; //(最慢最快)->最快回->(次慢最快)->最快回
long way2 = (num[left+1] + num[left+1] + num[right] + num[left]) ; //(次快最快)->次快回->(最慢次慢)->最快回
return Math.min(way1, way2) + sum(left , right-2 , num) ;
}
}
void solve(){
int t = in.nextInt() ;
while(t-- > 0){
int n = in.nextInt() ;
int[] num = new int[n] ;
for(int i = 0 ; i < n ; i++) num[i] = in.nextInt() ;
Arrays.sort(num) ;
out.println(sum(0, n-1 , num)) ;
}
out.flush() ;
}
}
class InputReader {
public BufferedReader reader;
public StringTokenizer tokenizer;
public InputReader(InputStream stream) {
reader = new BufferedReader(new InputStreamReader(stream), 32768);
tokenizer = new StringTokenizer("");
}
private void eat(String s) {
tokenizer = new StringTokenizer(s);
}
public String nextLine() {
try {
return reader.readLine();
} catch (Exception e) {
return null;
}
}
public boolean hasNext() {
while (!tokenizer.hasMoreTokens()) {
String s = nextLine();
if (s == null)
return false;
eat(s);
}
return true;
}
public String next() {
hasNext();
return tokenizer.nextToken();
}
public int nextInt() {
return Integer.parseInt(next());
}
public long nextLong() {
return Long.parseLong(next());
}
public double nextDouble() {
return Double.parseDouble(next());
}
public BigInteger nextBigInteger() {
return new BigInteger(next());
}
}