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php解八皇后以及多皇后问题。

May 25, 2016 pm 05:10 PM
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[PHP]代码  

<?php
function f($q, $f = false) { /* $f 是标记,如果为 false 将重新初始化 */
	static $c = 0; /* 计数器, 解个数 */
	static $l = array(); /* 当前皇后存在的列, 键名记录行 */
	static $n = 0; /* 当前皇后,从0计数,表示第一个 */ 

	/* BUG FIX 增设初始化内容,感谢 @曹林剑 发现此BUG */
	if(!$f) {
		$c = 0;
		$l = array();
		$n=0;
	}

	/* 尝试放入皇后 */
	for($l[$n] = 0; $l[$n] < $q; $l[$n]++) {
		/* 验证皇后是否可以放入*/
		for($i = 0; $i < $n;$i++) {
			/* 验证是否可放入,冲突直接跳出本次筛选 */
			if(($l[$i] == $l[$n] || $l[$i] - $l[$n] == $i - $n || $l[$i] - $l[$n] == $n - $i )) continue 2;
		}
		/* 验证通过,可以放置本次 */

		/* 如果没有达到最后一个 */
		if($n < ($q - 1)) {
			$n++; /* 下一个皇后 */
			f($q, true); /* 第2个参数表示不会破坏内部存放数值*/
			$n--; /* 本层还有其他位置要验证, 还原后继续验证本层 */
		}
		/* 达到最后一个, 计数器+1 */
		else {
			$c++;
		}
	}
	return $c;
}

/* f(8); 可以返回 8 皇后解个数, 要想知道所有解, 可 在  "达到最后一个,计算器+1" 部分获取解详情。 */
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