[USACO07NOV] Cow Relays G
[USACO07NOV] Cow Relays G
题面翻译
给定一张 \(T\) 条边的无向连通图,求从 \(S\) 到 \(E\) 经过 \(N\) 条边的最短路长度。
输入格式
第一行四个正整数 \(N,T,S,E\) ,意义如题面所示。
接下来 \(T\) 行每行三个正整数 \(w,u,v\) ,分别表示路径的长度,起点和终点。
输出格式
一行一个整数表示图中从 \(S\) 到 \(E\) 经过 \(N\) 条边的最短路长度。
数据范围
对于所有的数据,保证 \(1\le N\le 10^6\),\(2\le T\le 100\)。
所有的边保证 \(1\le u,v\le 1000\),\(1\le w\le 1000\)。
题目描述
For their physical fitness program, N (2 ≤ N ≤ 1,000,000) cows have decided to run a relay race using the T (2 ≤ T ≤ 100) cow trails throughout the pasture.
Each trail connects two different intersections (1 ≤ I1i ≤ 1,000; 1 ≤ I2i ≤ 1,000), each of which is the termination for at least two trails. The cows know the lengthi of each trail (1 ≤ lengthi ≤ 1,000), the two intersections the trail connects, and they know that no two intersections are directly connected by two different trails. The trails form a structure known mathematically as a graph.
To run the relay, the N cows position themselves at various intersections (some intersections might have more than one cow). They must position themselves properly so that they can hand off the baton cow-by-cow and end up at the proper finishing place.
Write a program to help position the cows. Find the shortest path that connects the starting intersection (S) and the ending intersection (E) and traverses exactly N cow trails.
给出一张无向连通图,求S到E经过k条边的最短路。
输入格式
* Line 1: Four space-separated integers: N, T, S, and E
* Lines 2..T+1: Line i+1 describes trail i with three space-separated integers: lengthi , I1i , and I2i
输出格式
* Line 1: A single integer that is the shortest distance from intersection S to intersection E that traverses exactly N cow trails.
样例 #1
样例输入 #1
2 6 6 4
11 4 6
4 4 8
8 4 9
6 6 8
2 6 9
3 8 9
样例输出 #1
10
信息
- ID
- 1074
- 难度
- 9
- 分类
- (无)
- 标签
- (无)
- 递交数
- 4
- 已通过
- 2
- 通过率
- 50%
- 上传者