约瑟夫问题(Josephus)

共9个坐一圈,由每次第2人开始报数,报到第3个出圈,求出圈顺序。
vector.h

#ifndef vector_h__
#define vector_h__

# include <stdio.h>
# include <malloc.h>

enum boolen{TRUE, FALSE};

typedef int ElementType;
typedef enum boolen BOOL;

typedef struct Vector_def{
    ElementType * data;
    int sz;
    int len;
}Vector;
void initVector(Vector* V,int sz);
BOOL RemoveNode(Vector* V, int i);
BOOL InsertNode(Vector* V, ElementType x, int i);
void printout(Vector* V);
BOOL GetNode(Vector* V, int i, ElementType* x);

#endif // vector_h__

vector.h

#include "vector.h"

void initVector(Vector* V,int sz){
    if (sz > 0){
        V->sz = sz;
        V->len = 0;
        V->data = (ElementType *)malloc(sizeof(ElementType)*sz);
        if (V->data == NULL)
            puts("Get memory error.");
    }
    else{
        puts("sz error.");
    }
}

BOOL RemoveNode(Vector* V, int i){
    int j;
    if (i<0 || i>V->len){
        puts("The location is error.");
    }
    else{
        for (j=i; j<V->len; j++){
            V->data[j-1] = V->data[j];
        }
        V->len--;
    }
    return TRUE;
}

BOOL InsertNode(Vector* V, ElementType x, int i){
    int j;
    if (i<0 || i>V->len || V->len == V->sz)
        return FALSE;

    for (j=V->len-1; j>=i; j--)
        V->data[j+1] = V->data[j];
    V->len++;
    V->data[i] = x;
    return TRUE;
}

BOOL GetNode(Vector* V, int i, ElementType* x){
    if (i<0 || i>V->len)
        return FALSE;
    *x = V->data[i];
//  RemoveNode(V, i);
    return TRUE;
}
void printout(Vector* V){
    int i;
    for (i=0; i<V->len; i++)
        printf("%d ", V->data[i]);
    printf("
");
}

main.c

#include "vector.h"

void Josephus(Vector* v, int n, int s, int m);
int main(){
    Vector V;
    Josephus(&V, 9, 2, 3);
    printout(&V);
    return 0;
}

//************************************
// Method:    Josephus
// FullName:  Josephus
// Access:    public 
// Returns:   void
// Qualifier:
// Parameter: Vector * v
// Parameter: int n  一共的人数
// Parameter: int s  报数开始位置
// Parameter: int m  报到m停止
//************************************
void Josephus(Vector* v, int n, int s, int m){
    int i, j, k;
    ElementType x;
    initVector(v, n);
    for (i=0; i<n; i++)
        InsertNode(v, i+1, i);
    for (i=n; i>=1; i--){
        k = (s+m-1)%i;
        if (k==0)k =i;
        GetNode(v, k-1, &x);
        RemoveNode(v, k);
        InsertNode(v,x,n-1);
    }
}

程序运行图

原文地址:https://www.cnblogs.com/laohaozi/p/8266624.html