package main import ( "bufio" "fmt" "os" ) func main() { in := bufio.NewReader(os.Stdin) out := bufio.NewWriter(os.Stdout) defer out.Flush() var directed, n, m int fmt.Fscan(in, &directed, &n, &m) edges := make([]Edge, 0, m) for i := 0; i < m; i++ { var u, v, w int fmt.Fscan(in, &u, &v, &w) u-- v-- edges = append(edges, Edge{u, v, w}) } res := MincostCycle(n, edges, directed == 1) if res == INF { res = -1 } fmt.Fprintln(out, res) } const INF int = 1e18 type Edge struct{ from, to, weight int } // 返回最小环的权值和. 不存在时返回INF. // !把每条边断开,然后求从断开的边的两个端点到另一端点的最短路. func MincostCycle(n int, edges []Edge, directed bool) int { adjList := make([][][2]int, n) maxWeight := 0 for _, e := range edges { u, v, w := e.from, e.to, e.weight if w > maxWeight { maxWeight = w } adjList[u] = append(adjList[u], [2]int{v, w}) if !directed { adjList[v] = append(adjList[v], [2]int{u, w}) } } res := INF for _, e := range edges { from_, to, weight := e.from, e.to, e.weight var dist int if maxWeight <= 1 { dist = bfs01Point(n, adjList, to, from_) } else { dist = dijkstraPoint(n, adjList, to, from_) } cand := weight + dist if cand < res { res = cand } } return res } func min(a, b int) int { if a < b { return a } return b } func bfs01Point(n int, adjList [][][2]int, start, target int) int { dist := make([]int, n) for i := range dist { dist[i] = INF } queue := Deque{} queue.Append(start) dist[start] = 0 for !queue.Empty() { cur := queue.PopLeft() if cur == target { return dist[cur] } for _, e := range adjList[cur] { next, cost := e[0], e[1] if (next == start && cur == target) || (next == target && cur == start) { continue } if cand := dist[cur] + cost; dist[next] > cand { dist[next] = cand if cost == 0 { queue.AppendLeft(next) } else { queue.Append(next) } } } } return INF } type D = int type Deque struct{ l, r []D } func (q Deque) Empty() bool { return len(q.l) == 0 && len(q.r) == 0 } func (q Deque) Size() int { return len(q.l) + len(q.r) } func (q *Deque) AppendLeft(v D) { q.l = append(q.l, v) } func (q *Deque) Append(v D) { q.r = append(q.r, v) } func (q *Deque) PopLeft() (v D) { if len(q.l) > 0 { q.l, v = q.l[:len(q.l)-1], q.l[len(q.l)-1] } else { v, q.r = q.r[0], q.r[1:] } return } func (q *Deque) Pop() (v D) { if len(q.r) > 0 { q.r, v = q.r[:len(q.r)-1], q.r[len(q.r)-1] } else { v, q.l = q.l[0], q.l[1:] } return } func (q Deque) Front() D { if len(q.l) > 0 { return q.l[len(q.l)-1] } return q.r[0] } func (q Deque) Back() D { if len(q.r) > 0 { return q.r[len(q.r)-1] } return q.l[0] } // 0 <= i < q.Size() func (q Deque) At(i int) D { if i < len(q.l) { return q.l[len(q.l)-1-i] } return q.r[i-len(q.l)] } func dijkstraPoint(n int, adjList [][][2]int, start, target int) int { dist := make([]int, n) for i := range dist { dist[i] = INF } dist[start] = 0 pq := nhp(func(a, b H) int { return a.dist - b.dist }, []H{{start, 0}}) for pq.Len() > 0 { curNode := pq.Pop() cur, curDist := curNode.node, curNode.dist if cur == target { return curDist } if curDist > dist[cur] { continue } for _, edge := range adjList[cur] { next, weight := edge[0], edge[1] if (next == start && cur == target) || (next == target && cur == start) { continue } if cand := curDist + weight; cand < dist[next] { dist[next] = cand pq.Push(H{next, cand}) } } } return INF } type H = struct{ node, dist int } // Should return a number: // negative , if a < b // zero , if a == b // positive , if a > b type Comparator func(a, b H) int func nhp(comparator Comparator, nums []H) *Heap { nums = append(nums[:0:0], nums...) heap := &Heap{comparator: comparator, data: nums} heap.heapify() return heap } type Heap struct { data []H comparator Comparator } func (h *Heap) Push(value H) { h.data = append(h.data, value) h.pushUp(h.Len() - 1) } func (h *Heap) Pop() (value H) { if h.Len() == 0 { return } value = h.data[0] h.data[0] = h.data[h.Len()-1] h.data = h.data[:h.Len()-1] h.pushDown(0) return } func (h *Heap) Peek() (value H) { if h.Len() == 0 { return } value = h.data[0] return } func (h *Heap) Len() int { return len(h.data) } func (h *Heap) heapify() { n := h.Len() for i := (n >> 1) - 1; i > -1; i-- { h.pushDown(i) } } func (h *Heap) pushUp(root int) { for parent := (root - 1) >> 1; parent >= 0 && h.comparator(h.data[root], h.data[parent]) < 0; parent = (root - 1) >> 1 { h.data[root], h.data[parent] = h.data[parent], h.data[root] root = parent } } func (h *Heap) pushDown(root int) { n := h.Len() for left := (root<<1 + 1); left < n; left = (root<<1 + 1) { right := left + 1 minIndex := root if h.comparator(h.data[left], h.data[minIndex]) < 0 { minIndex = left } if right < n && h.comparator(h.data[right], h.data[minIndex]) < 0 { minIndex = right } if minIndex == root { return } h.data[root], h.data[minIndex] = h.data[minIndex], h.data[root] root = minIndex } }