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53 lines
1.2 KiB
53 lines
1.2 KiB
package cap3
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// _node 链表节点，单向循环链表
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type _node struct {
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Value int
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Next *_node
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}
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// 初始化长度为n的环
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func _initCircle(n int) *_node {
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head := &_node{0, nil}
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current := head
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for i := 1; i < n; i++ {
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newNode := &_node{i, nil}
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current.Next = newNode
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current = newNode
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}
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// 头尾相连成环
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current.Next = head
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return head
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}
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// Ex17Normal 小朋友游戏(约瑟夫问题)，一般解法（非数学解法），n: 总人数（节点数），k：出队报数
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func Ex17Normal(n, k int) int {
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circle := _initCircle(n)
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current := circle
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for current.Next != current {
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for i := 1; i < k-1; i++ {
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current = current.Next
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}
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// 报到k-1时移除下一个节点
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next := current.Next
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current.Next = next.Next
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current = current.Next
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// 避免内存泄露
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next.Next = nil
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}
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return current.Value
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}
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// Ex17Math 小朋友游戏(约瑟夫问题)，公式递推解法，n: 总人数（节点数），k：出队报数
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func Ex17Math(n, k int) int {
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idx := 0
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for i := 2; i <= n; i++ {
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idx = (idx + k) % i
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}
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return idx
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}
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