先举个例子,我不知道这个例子有没有答案哈:
a + b * c / d + e - f - g + 12 / 8 * h / i = 10
请把a~i填入1-9这9个数字,使用等式成立。9个变量对应9个数字,必须是一对一的。这种题蛮伤脑筋的,所以,用枚举来搞定算了!
看看代码:
var a,b,c,d,e,f,g,h,i;var res = 0;for(a=1;a<=9;a++){ for(b=1;b<=9;b++){ if( b == a ) continue; for(c=1;c<=9;c++){ if( c == a ) continue; if( c == b ) continue; for(d=1;d<=9;d++){ if( d == a ) continue; if( d == b ) continue; if( d == c ) continue; for(e=1;e<=9;e++){ if( e == a ) continue; if( e == b ) continue; if( e == c ) continue; if( e == d ) continue; for(f=1;f<=9;f++){ if( f == a ) continue; if( f == b ) continue; if( f == c ) continue; if( f == d ) continue; if( f == e ) continue; for(g=1;g<=9;g++){ if( g == a ) continue; if( g == b ) continue; if( g == c ) continue; if( g == d ) continue; if( g == e ) continue; if( g == f ) continue; for(h=1;h<=9;h++){ if( h == a ) continue; if( h == b ) continue; if( h == c ) continue; if( h == d ) continue; if( h == e ) continue; if( h == f ) continue; if( h == g ) continue; for(i=1;i<=9;i++){ if( i == a ) continue; if( i == b ) continue; if( i == c ) continue; if( i == d ) continue; if( i == e ) continue; if( i == f ) continue; if( i == g ) continue; if( i == h ) continue;res = a + b;res = res * c;if(res % d != 0) continue;res = res / d;if(res < 0) continue;res = res - e;if(res < 0) continue;res = res + f;res = res * 10;res = res - 43;if(res < 0) continue;res = res / 11;res = res + 12;res = res - g;if(res < 0) continue;res = res * h;if(res % h != 0) continue;res = res / i;if( res == 20 ){ console.log([a,b,c,d,e,f,g,h,i]);} } } } } } } } }}
代码写得可能很糟糕,不简练,但大概意思是对的。有几点要注意的:
1、每个数字不一样。所以枚举的时候,遇到当前变量等于之前的变量时,要跳出当前循环。
2、遇到除法,则必须整除。