2018-10-10 18:03:03 -04:00
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---
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id: 5900f3881000cf542c50fe9b
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2020-12-16 00:37:30 -07:00
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title: 问题28:对角螺旋数
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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videoUrl: ''
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2020-02-18 01:40:55 +09:00
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从数字1开始,沿顺时针方向向右移动,形成5 x 5螺旋,如下所示:
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21 22 23 24 25
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20 7 8 9 10
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19 6 1 2 11
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18 5 4 3 12
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17 16 15 14 13
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2020-12-16 00:37:30 -07:00
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可以验证对角线上的数字之和为101。
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2018-10-10 18:03:03 -04:00
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以相同方式形成的n×n螺旋中的对角线上的数字的总和是多少?
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`spiralDiagonals(101)`应该返回692101。
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2018-10-10 18:03:03 -04:00
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```js
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assert(spiralDiagonals(101) == 692101);
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2018-10-10 18:03:03 -04:00
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```
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2020-12-16 00:37:30 -07:00
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`spiralDiagonals(101)`应该返回18591725。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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```js
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assert(spiralDiagonals(303) == 18591725);
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```
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`spiralDiagonals(101)`应该返回85986601。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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```js
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assert(spiralDiagonals(505) == 85986601);
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```
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`spiralDiagonals(101)`应该返回669171001。
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2018-10-10 18:03:03 -04:00
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```js
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assert(spiralDiagonals(1001) == 669171001);
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```
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2020-08-13 17:24:35 +02:00
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# --solutions--
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