結果

問題 No.1251 絶対に間違ってはいけない最小化問題
ユーザー shojin_proshojin_pro
提出日時 2020-10-09 23:31:58
言語 Java
(openjdk 23)
結果
AC  
実行時間 980 ms / 2,000 ms
コード長 4,068 bytes
コンパイル時間 2,711 ms
コンパイル使用メモリ 86,316 KB
実行使用メモリ 74,704 KB
最終ジャッジ日時 2024-07-20 14:24:25
合計ジャッジ時間 35,141 ms
ジャッジサーバーID
(参考情報)
judge1 / judge2
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 42
権限があれば一括ダウンロードができます

ソースコード

diff #

import java.util.*;
import java.io.*;
 
public class Main {
    public static void main(String[] args) throws Exception {
        FastScanner sc = new FastScanner(System.in);
        PrintWriter pw = new PrintWriter(System.out);
        StringBuilder sb = new StringBuilder();
        int n = sc.nextInt();
        Point[] arr = new Point[n];
        for(int i = 0; i < n; i++){
            arr[i] = new Point(sc.nextLong());
        }
        long total = 0;
        for(int i = 0; i < n; i++){
            arr[i].b = sc.nextLong();
            total += arr[i].b;
        }
        Arrays.sort(arr);
        long[] a = new long[n];
        long[] b = new long[n];
        long now = 0;
        int left = -1;
        for(int i = 0; i < n; i++){
            a[i] = arr[i].a;
            b[i] = arr[i].b;
            now += b[i];
            if(left == -1 && total <= now*2){
                left = i;
            }
        }
        long nowA = a[0];
        long nowB = b[0];
        if(n == 1){
            pw.println(nowA + " " + 0);
            pw.flush();
            return;
        }
        long a1 = a[left];
        long ans = 0;
        for(int i = 0; i < n; i++){
            ans += Math.abs(a1-a[i])*b[i];
        }
        if(left < n-1){
            long a2 = a[left+1];
            long ans2 = 0;
            for(int i = 0; i < n; i++){
                ans2 += Math.abs(a2-a[i])*b[i];
            }
            if(ans > ans2){
                ans = ans2;
                a1 = a2;
            }
        }
        pw.println(a1 + " " + ans);
        pw.flush();
    }
    
    static class GeekInteger {
        public static void save_sort(int[] array) {
            shuffle(array);
            Arrays.sort(array);
        }
 
        public static int[] shuffle(int[] array) {
            int n = array.length;
            Random random = new Random();
            for (int i = 0, j; i < n; i++) {
                j = i + random.nextInt(n - i);
                int randomElement = array[j];
                array[j] = array[i];
                array[i] = randomElement;
            }
            return array;
        }
    }
}

class Point implements Comparable<Point>{
    long a,b;
    public Point(long a){
        this.a = a;
    }
    
    public int compareTo(Point p){
        if(this.a < p.a){
            return -1;
        }else if(this.a > p.a){
            return 1;
        }else{
            return 0;
        }
    }
}

class FastScanner {
    private BufferedReader reader = null;
    private StringTokenizer tokenizer = null;
    public FastScanner(InputStream in) {
        reader = new BufferedReader(new InputStreamReader(in));
        tokenizer = null;
    }

    public String next() {
        if (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

    public String nextLine() {
        if (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                return reader.readLine();
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken("\n");
    }

    public long nextLong() {
        return Long.parseLong(next());
    }

    public int nextInt() {
        return Integer.parseInt(next());
    }

    public double nextDouble() {
         return Double.parseDouble(next());
    }
    
    public String[] nextArray(int n) {
        String[] a = new String[n];
        for (int i = 0; i < n; i++)
            a[i] = next();
        return a;
    }

    public int[] nextIntArray(int n) {
        int[] a = new int[n];
        for (int i = 0; i < n; i++)
            a[i] = nextInt();
        return a;
    }

    public long[] nextLongArray(int n) {
        long[] a = new long[n];
        for (int i = 0; i < n; i++)
            a[i] = nextLong();
        return a;
    } 
}
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