"△" is a new operation, which stipulates: a△b=a*c+b*d (where c and d are constants), such as: 5△7=5*c+7*d. If 1△2=5, 1△3=7, then what is the calculation result of 6△1000?
"△"是一种新运算，规定：a△b=a*c+b*d(其中c，d为常数)，如：5△7=5*c+7*d．如果1△2=5，1△3=7，那么6△1000的计算结果是多少．
<gadget id="calculator">6 * 1</gadget>
<output>6</output>

<gadget id="calculator">1_000 * 2</gadget>
<output>2_000</output>

<gadget id="calculator">6 + 2_000</gadget>
<output>2_006</output>

<result>2_006</result>