PHP implements ant pole climbing path algorithm
This article mainly introduces the code of the ant pole climbing path algorithm implemented in PHP, analyzes the principle and implementation method of the ant pole climbing path algorithm in the form of a complete example, and involves related skills in PHP numerical calculation and array operations. I hope to be helpful.
The details are as follows:
<?php /** * 有一根27厘米的细木杆,在第3厘米、7厘米、11厘米、17厘米、23厘米这五个位置上各有一只蚂蚁。 * 木杆很细,不能同时通过一只蚂蚁。开始 时,蚂蚁的头朝左还是朝右是任意的,它们只会朝前走或调头, * 但不会后退。当任意两只蚂蚁碰头时,两只蚂蚁会同时调头朝反方向走。假设蚂蚁们每秒钟可以走一厘米的距离。 * 编写程序,求所有蚂蚁都离开木杆 的最小时间和最大时间。 */ function add2($directionArr, $count, $i) { if(0 > $i) { // 超出计算范围 return $directionArr; } if(0 == $directionArr[$i]) { // 当前位加1 $directionArr[$i] = 1; return $directionArr; } $directionArr[$i] = 0; return add2($directionArr, $count, $i - 1); // 进位 } $positionArr = array( // 所在位置 3, 7, 11, 17, 23 ); function path($positionArr) { // 生成测试路径 $pathCalculate = array(); $count = count($positionArr); $directionArr = array_fill(0, $count, 0); // 朝向 $end = str_repeat('1', $count); while (true) { $path = implode('', $directionArr); $pathArray = array_combine($positionArr, $directionArr); $total = calculate($positionArr, $directionArr); $pathCalculate['P'.$path] = $total; if($end == $path) { // 遍历完成 break; } $directionArr = add2($directionArr, $count, $count - 1); } return $pathCalculate; } function calculate($positionArr, $directionArr) { $total = 0; // 总用时 $length = 27; // 木杆长度 while ($positionArr) { $total++; // 步增耗时 $nextArr = array(); // 下一步位置 foreach ($positionArr as $key => $value) { if(0 == $directionArr[$key]) { $next = $value - 1; // 向0方向走一步 } else { $next = $value + 1; // 向1方向走一步 } if(0 == $next) { // 在0方向走出 continue; } if($length == $next) { // 在1方向走出 continue; } $nextArr[$key] = $next; } $positionArr = $nextArr; // 将$positionArr置为临时被查找数组 foreach ($nextArr as $key => $value) { $findArr = array_keys($positionArr, $value); if(count($findArr) < 2) { // 没有重合的位置 continue ; } foreach ($findArr as $findIndex) { $directionArr[$findIndex] = $directionArr[$findIndex] ? 0 : 1; // 反向处理 unset($positionArr[$findIndex]); // 防止重复查找计算 } } $positionArr = $nextArr; // 将$positionArr置为下一步结果数组 } return $total; } $pathCalculate = path($positionArr); echo '<pre class="brush:php;toolbar:false">calculate-'; print_r($pathCalculate); echo 'sort-'; asort($pathCalculate); print_r($pathCalculate);
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