每周一赛(E题,广搜求方案)

Description

In this problem, you are given an integer number s. You can transform any integer number A to another integer number B by adding x to A. This xis an integer number which is a prime factor of A (please note that 1 and A are not being considered as a factor of A). Now, your task is to find the minimum number of transformations required to transform s to another integer number t.

Input

Input starts with an integer T (≤ 500), denoting the number of test cases.

Each case contains two integers: s (1 ≤ s ≤ 100) and t (1 ≤ t ≤ 1000).

Output

For each case, print the case number and the minimum number of transformations needed. If it's impossible, then print -1.

Sample Input

2

6 12

6 13

Sample Output

Case 1: 2

Case 2: -1

 

 

题意:

例如:6+3=9,9+3=12加了两次

6+3=9,9+3=12,12的质因数只有2,3所以这种方案不行

6+2=8,8+2=10,10的质因数只有2,5所以不行

所以例二输出-1

利用搜索的方法,每次都枚举当前数的所有质因数,而且这里不需要标记,直到当前记录值等于目标值,这时也不要返回,用一个开始赋值很大的数来不断地更新最小值。

这么一来的话,就真的是每种情况都得枚举到了,这是会超时的!虽然我特意舍弃DFS而用了BFS还是不能幸免~~~~~

所以要进行优化,用一个开始赋值非常大的数组,然后每次记录当前入队列的节点他的当前值是什么,记下他的当前走了几步,后面每次当一个节点进队列时,就可以判断一下

他当前的步数是否小于以前走过的,如果小于就入队列,不小于就不进,这样就减少了很多毫无意义的尝试了

最后不得不说一句,做质因数标记那个数组在程序输入之前自动做好就行了,也花不了多少时间,而我竟然多次一举,去写了个辅助程序........................

 

#include"iostream" #include"algorithm" #include"cstring" #include"cstdio" #include"queue" using namespace std; int book[1010]; int mark[1010]; struct node { int as; int step; }; const int maxn=1000000000; int ans=1000000000; int flag; int c; int a; int b; int step=0; void BFS() { memset(mark,0x3f,sizeof(mark)); queue<struct node> que; struct node cc,e,t; cc.as=a; cc.step=0; que.push(cc); while(!que.empty()) { e=que.front(); que.pop(); if(e.as==b) { if(ans>e.step) ans=e.step; } for(int i=2;i<e.as;i++) { if(e.as%i) continue; if(book[i]!=1) continue; //cout<<"iqian"<<i<<endl; // cout<<i<<endl; if(mark[e.as+i]>e.step+1) { t=e; t.as+=i; if(t.as>b) continue; t.step++; mark[t.as]=t.step; que.push(t); } } } } int main() { int n,f; book[1]=1; book[2]=1; book[3]=1; book[5]=1; book[7]=1; book[11]=1; book[13]=1; book[17]=1; book[19]=1; book[23]=1; book[29]=1; book[31]=1; book[37]=1; book[41]=1; book[43]=1; book[47]=1; book[53]=1; book[59]=1; book[61]=1; book[67]=1; book[71]=1; book[73]=1; book[79]=1; book[83]=1; book[89]=1; book[97]=1; book[101]=1; book[103]=1; book[107]=1; book[109]=1; book[113]=1; book[127]=1; book[131]=1; book[137]=1; book[139]=1; book[149]=1; book[151]=1; book[157]=1; book[163]=1; book[167]=1; book[173]=1; book[179]=1; book[181]=1; book[191]=1; book[193]=1; book[197]=1; book[199]=1; book[211]=1; book[223]=1; book[227]=1; book[229]=1; book[233]=1; book[239]=1; book[241]=1; book[251]=1; book[257]=1; book[263]=1; book[269]=1; book[271]=1; book[277]=1; book[281]=1; book[283]=1; book[293]=1; book[307]=1; book[311]=1; book[313]=1; book[317]=1; book[331]=1; book[337]=1; book[347]=1; book[349]=1; book[353]=1; book[359]=1; book[367]=1; book[373]=1; book[379]=1; book[383]=1; book[389]=1; book[397]=1; book[401]=1; book[409]=1; book[419]=1; book[421]=1; book[431]=1; book[433]=1; book[439]=1; book[443]=1; book[449]=1; book[457]=1; book[461]=1; book[463]=1; book[467]=1; book[479]=1; book[487]=1; book[491]=1; book[499]=1; book[503]=1; book[509]=1; book[521]=1; book[523]=1; book[541]=1; book[547]=1; book[557]=1; book[563]=1; book[569]=1; book[571]=1; book[577]=1; book[587]=1; book[593]=1; book[599]=1; book[601]=1; book[607]=1; book[613]=1; book[617]=1; book[619]=1; book[631]=1; book[641]=1; book[643]=1; book[647]=1; book[653]=1; book[659]=1; book[661]=1; book[673]=1; book[677]=1; book[683]=1; book[691]=1; book[701]=1; book[709]=1; book[719]=1; book[727]=1; book[733]=1; book[739]=1; book[743]=1; book[751]=1; book[757]=1; book[761]=1; book[769]=1; book[773]=1; book[787]=1; book[797]=1; book[809]=1; book[811]=1; book[821]=1; book[823]=1; book[827]=1; book[829]=1; book[839]=1; book[853]=1; book[857]=1; book[859]=1; book[863]=1; book[877]=1; book[881]=1; book[883]=1; book[887]=1; book[907]=1; book[911]=1; book[919]=1; book[929]=1; book[937]=1; book[941]=1; book[947]=1; book[953]=1; book[967]=1; book[971]=1; book[977]=1; book[983]=1; book[991]=1; book[997]=1; cin>>n; f=1; while(n--) { cin>>a>>b; c=b-a; if(c<0) cout<<"Case "<<f++<<": "<<-1<<endl; else { BFS(); if(ans!=1000000000) cout<<"Case "<<f++<<": "<<ans<<endl; else cout<<"Case "<<f++<<": "<<-1<<endl; ans=1000000000; } } return 0; }

你可能感兴趣的:(每周一赛(E题,广搜求方案))