poj3126(Prime Path)广搜+素数判定

标签：acm   广搜   素数筛法   

Description

The ministers of the cabinet were quite upset by the message from the Chief of Security stating that they would all have to change the four-digit room numbers on their offices. 
— It is a matter of security to change such things every now and then, to keep the enemy in the dark. 
— But look, I have chosen my number 1033 for good reasons. I am the Prime minister, you know! 
— I know, so therefore your new number 8179 is also a prime. You will just have to paste four new digits over the four old ones on your office door. 
— No, it’s not that simple. Suppose that I change the first digit to an 8, then the number will read 8033 which is not a prime! 
— I see, being the prime minister you cannot stand having a non-prime number on your door even for a few seconds. 
— Correct! So I must invent a scheme for going from 1033 to 8179 by a path of prime numbers where only one digit is changed from one prime to the next prime. 

Now, the minister of finance, who had been eavesdropping, intervened. 
— No unnecessary expenditure, please! I happen to know that the price of a digit is one pound. 
— Hmm, in that case I need a computer program to minimize the cost. You don‘t know some very cheap software gurus, do you? 
— In fact, I do. You see, there is this programming contest going on... Help the prime minister to find the cheapest prime path between any two given four-digit primes! The first digit must be nonzero, of course. Here is a solution in the case above. 

1033 
1733 
3733 
3739 
3779 
8779 
8179

The cost of this solution is 6 pounds. Note that the digit 1 which got pasted over in step 2 can not be reused in the last step – a new 1 must be purchased.

3
1033 8179
1373 8017
1033 1033

6
7
0

大水题，40入口的BFS，剪枝后远远没有40入口。

#include <iostream>
#include <sstream>
#include <fstream>
#include <string>
#include <map>
#include <vector>
#include <list>
#include <set>
#include <stack>
#include <queue>
#include <deque>
#include <algorithm>
#include <functional>
#include <iomanip>
#include <limits>
#include <new>
#include <utility>
#include <iterator>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cctype>
#include <cmath>
#include <ctime>
using namespace std;

const int maxp = 10010;

bool isPrime[maxp];
int a, b;

void init()
{
    fill(isPrime, isPrime+maxp, true);
    for (int i = 2; i < maxp; ++i)
        if (isPrime[i])
            for (int j = i*i; j < maxp; j += i)
                isPrime[j] = false;
}

int bfs()
{
    int vis[maxp];
    memset(vis, -1, sizeof(vis));
    queue<int> q;
    q.push(a);
    vis[a] = 0;
    while (!q.empty())
    {
        int num = q.front();
        q.pop();
        if (num == b)
            return vis[num];
        for (int i = 0; i < 4; ++i)
            for (int j = 0; j < 10; ++j)
                if (i != 3 || j)
                {
                    int t = (int)(pow(10, i) + 0.5);
                    int c = num - ((num / t) % 10) * t + j * t;
                    if (isPrime[c] && vis[c] == -1)
                    {
                        q.push(c);
                        vis[c] = vis[num] + 1;
                    }
                }
    }
    return -1;
}

int main()
{
    init();
    int T;
    cin >> T;
    while (T--)
    {
        scanf("%d%d", &a, &b);
        int ans = bfs();
        if (ans == -1)
            printf("Impossible\n");
        else
            printf("%d\n", bfs());
    }
    return 0;
}

poj3126(Prime Path)广搜+素数判定

标签：acm   广搜   素数筛法   

原文地址：http://blog.csdn.net/god_weiyang/article/details/47833727