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);
}
}