一位面试官最近问了我这样一个问题:给定三个布尔变量a、b和c,如果三个变量中至少有两个为真,则返回true。

我的解决方案如下:

boolean atLeastTwo(boolean a, boolean b, boolean c) {
    if ((a && b) || (b && c) || (a && c)) {
        return true;
    }
    else{
        return false;
    }
}

他说这还可以进一步改进,但如何改进呢?


当前回答

在Ruby中:

[a, b, c]。计数{|x| x} >= 2

这可以在JavaVM上的JRuby中运行。: -)

其他回答

字面解释适用于所有主要语言:

return (a ? 1:0) + (b ? 1:0) + (c ? 1:0) >= 2;

但是我可能会让人们更容易阅读,并且扩展到三个以上——这一点似乎被许多程序员遗忘了:

boolean testBooleans(Array bools)
{
     int minTrue = ceil(bools.length * .5);
     int trueCount = 0;

     for(int i = 0; i < bools.length; i++)
     {
          if(bools[i])
          {
               trueCount++;
          }
     }
     return trueCount >= minTrue;
}

在c#中,我首先想到的是:

public bool lol(int minTrue, params bool[] bools)
{
    return bools.Count( ( b ) => b ) >= minTrue;
}

应该很快。

调用应该是这样的:

lol( 2, true, true, false );

这样,您就将规则(两个必须为真)留给调用者,而不是将它们嵌入到方法中。

If the goal is to return a bitwise two-out-of-three value for three operands, arithmetic and iterative approaches are apt to be relatively ineffective. On many CPU architectures, a good form would be "return ((a | b) & c) | (a & b);". That takes four boolean operations. On single-accumulator machines (common in small embedded systems) that's apt to take a total of seven instructions per byte. The form "return (a & b) | (a & c) | (b & c);" is perhaps nicer looking, but it would require five boolean operations, or nine instructions per byte on a single-accumulator machine.

顺便提一下,在CMOS逻辑中,计算“不是三选二”需要12个晶体管(相比之下,逆变器需要2个晶体管,双输入NAND或NOR需要4个晶体管,而三输入NAND或NOR需要6个晶体管)。

下面是一个测试驱动的通用方法。虽然不像目前提供的大多数解决方案那样“高效”,但是清晰、经过测试、有效且通用。

public class CountBooleansTest extends TestCase {
    public void testThreeFalse() throws Exception {
        assertFalse(atLeastTwoOutOfThree(false, false, false));
    }

    public void testThreeTrue() throws Exception {
        assertTrue(atLeastTwoOutOfThree(true, true, true));
    }

    public void testOnes() throws Exception {
        assertFalse(atLeastTwoOutOfThree(true, false, false));
        assertFalse(atLeastTwoOutOfThree(false, true, false));
        assertFalse(atLeastTwoOutOfThree(false, false, true));
    }

    public void testTwos() throws Exception {
        assertTrue(atLeastTwoOutOfThree(false, true, true));
        assertTrue(atLeastTwoOutOfThree(true, false, true));
        assertTrue(atLeastTwoOutOfThree(true, true, false));
    }

    private static boolean atLeastTwoOutOfThree(boolean b, boolean c, boolean d) {
        return countBooleans(b, c, d) >= 2;
    }

    private static int countBooleans(boolean... bs) {
        int count = 0;
        for (boolean b : bs)
            if (b)
                count++;
        return count;
    }
}

而不是写:

if (someExpression) {
    return true;
} else {
    return false;
}

写:

return someExpression;

至于表达式本身,是这样的:

boolean atLeastTwo(boolean a, boolean b, boolean c) {
    return a ? (b || c) : (b && c);
}

或者这个(你觉得哪个更容易理解):

boolean atLeastTwo(boolean a, boolean b, boolean c) {
    return a && (b || c) || (b && c);
}

它只测试a和b一次,c最多测试一次。

参考文献

JLS 15.25条件运算符?: