poj3278:http://poj.org/problem?id=3278

题意:给你一个n和k,n可以加1也可以减1,还可以乘2,现在要求n经过这样的几步变换可以使得n==k;求得最小的步数。
题解:一开始我也不知道怎么办,准备用深度优先搜,但是自己没打出来,后来看了网上题目归类是BFSBFS,马上懂了,就是一个3入口的BFS。裸题。不过要注意0*2的情况。

#include<cstring>
#include<cstdio>
#include<algorithm>
#include<iostream>
#include<queue>
using namespace std;
int n,k;
int counts[];
struct Node {
int x;
int step;
};
int BFS(int x){
for(int i=;i<=;i++)
counts[i]=;
counts[x]=;
queue<Node>Q;
Node tt;
tt.x=x;
tt.step=;
Q.push(tt);
while(!Q.empty()){
Node temp=Q.front();
Q.pop();
int xx=temp.x;
int step=temp.step;
if(xx+<=&&step+<counts[xx+]){
counts[xx+]=step+;
Node ttt;
ttt.x=xx+;
ttt.step=step+;
Q.push(ttt);
}
if(xx->=&&step+<counts[xx-]){
counts[xx-]=step+;
Node ttt;
ttt.x=xx-;
ttt.step=step+;
Q.push(ttt);
}
if(xx!=&&*xx<=&&step+<counts[xx*]){//注意这里的xx不等于0的判断
counts[xx*]=step+;
Node ttt;
ttt.x=xx*;
ttt.step=step+;
Q.push(ttt);
}
}
return counts[k];
}
int main(){
scanf("%d%d",&n,&k);
printf("%d\n",BFS(n)); }

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