USACO Prime Cryptarithm



----------------------

/*
ID: wangxin12
PROG: crypt1
LANG: C++
*/



#include <iostream>
#include <fstream>
#include <vector>
#include <string>
#include <set>
#include <stdio.h>
#include <stdlib.h>

using namespace std;

#define MAX 20001

vector<int> num;

	bool flags(int index) {
		bool flag = false;
		for( int k = 0; k < num.size(); k++) {
			if( index == num[k] ) { 
				flag = true;
				break;
			}
		}
		return flag;
	}

int main() {
	//FILE * fin = fopen("crypt1.in", "r");
	ifstream fin("crypt1.in");
	ofstream fout("crypt1.out");

	int result = 0;
	int N;

	
	fin>>N;
	for(int k = 0; k < N; k++) {
		int temp;
		fin>>temp;
		num.push_back(temp);
	}

/*	cout<<N<<endl;
	for(int k = 0; k < numbers.size(); k++) {
		cout<<numbers[k]<<" ";
	}  */


	
	for(int a = 0; a < N; a++)
		for(int b = 0; b < N; b++)
			for(int c = 0; c < N; c++)
				for(int d = 0; d < N; d++)
					for(int e = 0; e < N; e++)
					{
						int first = (num[a] * 100 + num[b] * 10 + num[c]) * num[e] ;
						int second = (num[a] * 100 + num[b] * 10 + num[c]) * num[d];
						int temp = (num[a] * 100 + num[b] * 10 + num[c]) * (num[d] * 10 + num[e]);

						if( first > 999 || first < 100) continue;
						if( second > 999 || second < 100) continue;
						if( temp > 9999 || temp < 1000) continue;

						if( !flags(first % 10) || !flags( (first/10) % 10) || !flags( first/100)) continue;
						if( !flags(second % 10) || !flags( (second/10) % 10) || !flags( second/100)) continue;
						
						int s1 = temp % 10;
						int s2 = (temp % 100 - s1) / 10;
						int s3 = (temp % 1000 - s2 * 10 - s1) / 100;
						int s4 = (temp - s3 * 100 - s2 * 10 - s1) / 1000;

						bool b1 = false, b2 = false, b3 = false, b4 = false;

						for(int m = 0; m < num.size(); m++) {
							if( s1 == num[m] ) b1 = true;
							if( s2 == num[m] ) b2 = true;
							if( s3 == num[m] ) b3 = true;
							if( s4 == num[m] ) b4 = true;
						}

						if( b1 && b2 && b3 && b4) result++;
					}


	fout<<result<<endl;

//	fclose(fin);
	fin.close();
	fout.close();
	
    return 0;
}





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