結果
| 問題 | 
                            No.1898 Battle and Exchange
                             | 
                    
| コンテスト | |
| ユーザー | 
                             | 
                    
| 提出日時 | 2022-03-28 03:18:04 | 
| 言語 | Java  (openjdk 23)  | 
                    
| 結果 | 
                             
                                AC
                                 
                             
                            
                         | 
                    
| 実行時間 | 2,860 ms / 5,000 ms | 
| コード長 | 3,132 bytes | 
| コンパイル時間 | 2,726 ms | 
| コンパイル使用メモリ | 81,260 KB | 
| 実行使用メモリ | 96,588 KB | 
| 最終ジャッジ日時 | 2024-11-06 19:49:17 | 
| 合計ジャッジ時間 | 67,294 ms | 
| 
                            ジャッジサーバーID (参考情報)  | 
                        judge5 / judge1 | 
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| ファイルパターン | 結果 | 
|---|---|
| sample | AC * 3 | 
| other | AC * 58 | 
ソースコード
import java.util.ArrayList;
import java.util.PriorityQueue;
import java.util.Scanner;
public class Main {
	public static void upd(int A, int B, int C, int x){
		if (C < x){
			A = B;
			B = C;
			C = x;
		}
		else if (B < x){
			A = B;
			B = x;
		}
		else if(A < x){
			A = x;
		}
		return;
	}
	public static boolean solve(int n, int m, int minv, int[] a, int[] b, int[] c, int[] d, ArrayList<Integer>[] graph, int nowc){
		int A = 1;
		int B = 1;
		int C = nowc;
		if(d[0] >= A + B + C) return false;
		int x = c[0];
		if (C < x){
			A = B;
			B = C;
			C = x;
		}
		else if (B < x){
			A = B;
			B = x;
		}
		else if(A < x){
			A = x;
		}
		if (d[minv] >= A + B + C) return false;
		A = 1; B = 1;
		PriorityQueue<Pair> Q = new PriorityQueue<>();
		Q.add(new Pair(d[0], 0));
		boolean[] visit = new boolean[n];
		for(int i = 0; i < n; i++){
			visit[i] = false;
		}
		visit[0] = true;
		int sum, now;
		while(Q.size() > 0){
			Pair temp = Q.poll();
			sum = temp.time;
			now = temp.ver;
			if(sum >= A + B + C) return false;
			if(now == n - 1) return true;
			x = a[now];
			if (C < x){
				A = B;
				B = C;
				C = x;
			}
			else if (B < x){
				A = B;
				B = x;
			}
			else if(A < x){
				A = x;
			}
			x = b[now];
			if (C < x){
				A = B;
				B = C;
				C = x;
			}
			else if (B < x){
				A = B;
				B = x;
			}
			else if(A < x){
				A = x;
			}
			x = c[now];
			if (C < x){
				A = B;
				B = C;
				C = x;
			}
			else if (B < x){
				A = B;
				B = x;
			}
			else if(A < x){
				A = x;
			}
			for(int to: graph[now]){
				if (!visit[to]){
					visit[to] = true;
					Q.add(new Pair(d[to], to));
				}
			}
		}
		return false;
	}
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n, m;
		n = sc.nextInt();
		m = sc.nextInt();
		int[] a = new int[n];
		int[] b = new int[n];
		int[] c = new int[n];
		ArrayList<Integer>[] graph = new ArrayList[n];
		for(int i = 0; i < n; i++){
			graph[i] = new ArrayList<Integer>();
		}
		int u, v;
		for(int i = 0; i < m ;i++){
			u = sc.nextInt();
			v = sc.nextInt();
			u--;
			v--;
			graph[u].add(v);
			graph[v].add(u);
		}
		for(int i = 0; i < n; i++){
			a[i] = sc.nextInt();
			b[i] = sc.nextInt();
			c[i] = sc.nextInt();
		}
		int[] d = new int[n];
		for(int i = 0; i < n; i++){
			d[i] = a[i] + b[i] + c[i];
		}
		int min , max;
		for(int i = 0; i < n; i++){
			min = Math.min(Math.min(a[i], b[i]), c[i]);
			max = Math.max(Math.max(a[i], b[i]), c[i]);
			a[i] = min;
			b[i] = d[i] - min - max;
			c[i] = max;
		}
		int mint = graph[0].get(0);
		for(int to: graph[0]){
			if(d[to] < d[mint]) mint = to;
		}
		int ok = 1000000000;
		int ng = 1;
		int mid;
		while(Math.abs(ok - ng) > 1){
			mid = (ok + ng) / 2;
			if(solve(n, m, mint, a, b, c, d, graph, mid)){
				ok = mid;
			}
			else ng = mid;
		}
		System.out.printf("%d %d %d\n", ok, 1, 1);
	}
}
class Pair implements Comparable<Pair>{
    int time;
    int ver;
    public Pair(int time, int ver) {
        this.time = time;
        this.ver = ver;
    }
    @Override
    public int compareTo(Pair p) {
        return Integer.compare(time, p.time);
    }
}