问题描述:
We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly once; for example, the 5-digit number, 15234, is 1 through 5 pandigital.
The product 7254 is unusual, as the identity, 39 186 = 7254, containing multiplicand, multiplier, and product is 1 through 9 pandigital.
Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.
HINT: Some products can be obtained in more than one way so be sure to only include it once in your sum.
解决问题:
public static void main(String[] args) { System.out.println(sum()); int result = 0; for (int i = 1000; i < 100000; i++) { boolean[] matcher = new boolean[10]; Arrays.fill(matcher, false); int middle = (int) Math.sqrt(i); boolean ok = true; for(int j=2; j<middle&&ok;j++){ Arrays.fill(matcher, false); if(i%j==0){ int k = i/j; int tmp = i; while(tmp!=0){ if(matcher[tmp%10]==true||tmp%10==0){ ok = false; break; } matcher[tmp%10] = true; tmp = tmp/10; } if(ok){ tmp = j; while(tmp!=0){ if(matcher[tmp%10]==true||tmp%10==0){ ok = false; break; } matcher[tmp%10] = true; tmp = tmp/10; } } if(ok){ tmp = k; while(tmp!=0){ if(matcher[tmp%10]==true||tmp%10==0){ ok = false; break; } matcher[tmp%10] = true; tmp = tmp/10; } } if(ok){ boolean find = true; for(int l=1; l<10; l++){ if(matcher[l]==false){ find = false; break; } } if(find ){ System.out.println("i:"+i+",j:"+j+",k:"+k); result += i; break; } } } ok = true; } } System.out.println(result); }