已知一个四位自然数
,它的各个数位上的数字均不为0,且满足千位数字与百位数字的和等于十位数字与个位数字的和,则称这个数为“和对称数”,将这个四位自然数
的千位数字和百位数字互换,十位数字和个位数字互换,得到
,规定
.例如:
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
,
4536是“和对称数”,
.
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
,
2346不是“和对称数”.
已知
,
均为“和对称数”,其中
,
(其
,
,
,
,且均为整数),令
,当
能被77整除时,求出所有符合条件的A的最小值_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b1ba4307cfde9b424d468bfcdf6c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4e67c7e580d88a1d0efd46456d29a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541b590acc5d18326b27d9c78ba3efd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0beefaede45d6cb9d71dd8dd5b70175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a02099f3cb4cd91add8d3ae7d25376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49de6c217c9e8ce5c1b1f9912a51e524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f3d198e76391779fa3badc848c8ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e7236aae48e58b17ed6c3811aadc8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa41a53fa407cc6c5867e2948daee00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ac284a4508973a04e5661ca83448af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea9f404706aef9f8cee873da6fb4ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab151a7802497021a626dc129f8c505a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c7b4d114a605ff8f4b4462a8d0cc36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5878c9dfe7ff68869b0e44ff1f32a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d9b445415ad81259b0939e95d59dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
更新时间:2023-08-30 14:42:34
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