zoukankan      html  css  js  c++  java
  • hdu1104

    Remainder

    Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
    Total Submission(s): 2251    Accepted Submission(s): 477


    Problem Description
    Coco is a clever boy, who is good at mathematics. However, he is puzzled by a difficult mathematics problem. The problem is: Given three integers N, K and M, N may adds (‘+’) M, subtract (‘-‘) M, multiples (‘*’) M or modulus (‘%’) M (The definition of ‘%’ is given below), and the result will be restored in N. Continue the process above, can you make a situation that “[(the initial value of N) + 1] % K” is equal to “(the current value of N) % K”? If you can, find the minimum steps and what you should do in each step. Please help poor Coco to solve this problem.

    You should know that if a = b * q + r (q > 0 and 0 <= r < q), then we have a % q = r.
     
    Input
    There are multiple cases. Each case contains three integers N, K and M (-1000 <= N <= 1000, 1 < K <= 1000, 0 < M <= 1000) in a single line.

    The input is terminated with three 0s. This test case is not to be processed.
     
    Output
    For each case, if there is no solution, just print 0. Otherwise, on the first line of the output print the minimum number of steps to make “[(the initial value of N) + 1] % K” is equal to “(the final value of N) % K”. The second line print the operations to do in each step, which consist of ‘+’, ‘-‘, ‘*’ and ‘%’. If there are more than one solution, print the minimum one. (Here we define ‘+’ < ‘-‘ < ‘*’ < ‘%’. And if A = a1a2...ak and B = b1b2...bk are both solutions, we say A < B, if and only if there exists a P such that for i = 1, ..., P-1, ai = bi, and for i = P, ai < bi)
     
    Sample Input
    2 2 2
    -1 12 1
    0 0 0 0
     
    Sample Output
    0
    2
    *+
    代码:

    #include<stdio.h>
    #include<string.h>
    #include<string>
    #include<iostream>
    #include<queue>
    using namespace std;
    int n,m,k,visit[1000010],t;
    typedef struct
    {
    int num;
    int step;
    string s;
    } point;
    void BFS()
    {
    int i;
    point now,next;
    now.num=n;
    now.step=0;
    now.s="";
    memset(visit,0,sizeof(visit));
    visit[(n%k+k)%k]=1;
    queue<point>q;
    q.push(now);
    while(!q.empty())
    {
    now=q.front();
    q.pop();
    if(((n+1)%k+k)%k==(now.num%k+k)%k)
    {
    printf("%d ",now.step);
    cout<<now.s<<endl;
    return ;
    }
    for(i=0; i<4; i++)
    {
    if(i==0)
    {
    next.num=(now.num+m)%t;
    next.step=now.step+1;
    next.s=now.s+'+';
    }
    else if(i==1)
    {
    next.num=(now.num-m)%t;
    next.step=now.step+1;
    next.s=now.s+'-';
    }
    else if(i==2)
    {
    next.num=(now.num*m)%t;
    next.step=now.step+1;
    next.s=now.s+'*';
    }
    else if(i==3)
    {
    next.num=(now.num%m+m)%m%t;
    next.step=now.step+1;
    next.s=now.s+'%';
    }
    if (!visit[(next.num % k + k) % k])
    {
    visit[(next.num % k + k) % k]=1;
    q.push(next);
    }
    }

    }
    printf("0 ");
    }
    int main()
    {
    while(~scanf("%d%d%d",&n,&k,&m)&&(n||m||k))
    {
    t=k*m;
    BFS();
    }
    }

  • 相关阅读:
    java 接口中的成员变量与方法
    Spring BeanPostProcessor
    MySQL更改命令行默认分隔符
    java 动态代理
    《剑指offer》:[62]序列化二叉树
    group by语法
    Mysql两种引擎
    线程池大小设置
    Synchronized及其实现原理
    CAS ABA问题
  • 原文地址:https://www.cnblogs.com/lxm940130740/p/3256474.html
Copyright © 2011-2022 走看看