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生成小蝌蚪找妈妈路线。。。

代码:

<?php

$n=29;
$positions=[];
for ($i=0;$i<=$n;$i++){
    for ($j=0;$j<=$n;$j++){
        $positions[] =[$j,$i] ;
    }
}

//开始的点
$startDot=[0,0];
//已经放置的点
$placedDot=[];
//不可放置的点
$notPlacedDot=notPlacedDot($positions,$n);
$placedDot[]=$startDot;



//所有穿过的点
$lineDot=line($positions,$startDot,$placedDot,$notPlacedDot,$n);

echo getHtml($positions,$lineDot,$n);


function line($positions,$startDot,$placedDot,$notPlacedDot,$n){
    
    $dotWrapper=GetDotWrappers($startDot);
    $key=rand(0,3);
    $nextDot =  $dotWrapper[$key];

    $i=0;
    $notPlacedDotAll =array_merge($notPlacedDot,[]);
    while (in_array($nextDot,$placedDot)||in_array($nextDot,$notPlacedDotAll)){

        $i++;
       if(badDot($nextDot,$placedDot,$notPlacedDot,$n)){//是否是坏点

           $notPlacedDotAll[]=$nextDot;

          $startDot=$placedDot[count($placedDot)-1];
           $dotWrapper=GetDotWrappers($startDot);
           $key=rand(0,3);
           $nextDot =  $dotWrapper[$key];

          if(badDot($startDot,$placedDot,$notPlacedDotAll,$n)){//本身是否是坏点
              $notPlacedDotAll[]= array_pop($placedDot);

              $startDot=$placedDot[count($placedDot)-1];
              $dotWrapper=GetDotWrappers($startDot);
              $key=rand(0,3);
              $nextDot =  $dotWrapper[$key];

          }

        }else{
            $key=rand(0,3);
            $nextDot =  $dotWrapper[$key];

        }
        if($i>4&&count($placedDot)>1){//循环大于3次 还没找到去除该点
            $i=0;
            $notPlacedDot[]= array_pop($placedDot);
            $startDot=$placedDot[count($placedDot)-1];
            $dotWrapper=GetDotWrappers($startDot);
            $key=rand(0,3);
            $nextDot =  $dotWrapper[$key];


        }

    }


    $placedDot[]=$nextDot;

   if($nextDot[0]>=$n&&$nextDot[1]>0&&$nextDot[1]<=$n){
       return $placedDot;
   }
   return line($positions,$nextDot,$placedDot,$notPlacedDot,$n);
}

function getHtml($positions,$lineDot,$n){
    $str="<table border='1'>";

    foreach (array_chunk($positions,$n+1) as $row){
        $str.="<tr>";
        foreach ($row as $tr){
            if(in_array($tr,$lineDot)){
                $str.="<td style='color: white;background-color: red'> {$tr[0]},{$tr[1]}</td>";
            }else{
                $str.="<td>{$tr[0]},{$tr[1]}</td>";
            }
        }
        $str.="<tr>";

    };
    $str.="</table>";
    return $str;
}

function notPlacedDot($positions,$n)
{
    
    $notPlacedDot=[];
    foreach ($positions as $position){
        $dotWrapper=GetDotWrappers($position);

        foreach ($dotWrapper as $dot){
            if($dot[0]<0||$dot[1]<0||$dot[0]>$n||$dot[1]>$n){
                $notPlacedDot[]=$dot;
            }
        }
    }
    return $notPlacedDot;
}

/**
 * 是否是坏点
 * @param $dotWrapper
 * @param $placedDot
 * @param $notPlacedDot
 * @return bool
 */
function badDot($position,$placedDot,$notPlacedDot,$n){
    
    $dotWrapper=GetDotWrappers($position);
    $i=0;
    foreach ($dotWrapper as $dot){
        if($dot[0]<0||$dot[1]<0||$dot[1]>$n||in_array($dot,$placedDot)||in_array($dot,$notPlacedDot)){
            $i++;
        }
    }
    if($i==4){
        return true;
    }
    return false;

}


function GetDotWrappers($placementEd){
    $top = calculateXY($placementEd[0],$placementEd[1],'top');
    $bottom = calculateXY($placementEd[0],$placementEd[1],'bottom');
    $left = calculateXY($placementEd[0],$placementEd[1],'left');
    $right = calculateXY($placementEd[0],$placementEd[1],'right');
    return [$top,$bottom,$left,$right];
}

function calculateXY($x,$y,$default='top')
{
    switch ($default){
        case 'top':
            $y=$y+1;
            break;
        case 'bottom':
            $y=$y-1;
            break;
        case 'left':
            $x=$x-1;
            break;
        case 'right':
            $x=($x+1);
            break;
        case 'left_top':
            $x=($x-1);
            $y=($y+1);
            break;
        case 'right_top':
            $x=($x+1);
            $y=($y+1);
            break;
        case 'right_bottom':
            $x=($x+1);
            $y=($y-1);
            break;
        case 'left_bottom':
            $x=($x-1);
            $y=($y-1);
            break;
    }

    return [$x,$y];
}

输出:

0,0 1,0 2,0 3,04,05,06,07,08,09,010,011,012,013,014,015,016,017,018,019,020,021,022,023,024,025,026,027,028,029,0
0,1 1,1 2,1 3,14,15,16,17,18,19,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,1 27,1 28,129,1
0,2 1,22,23,24,25,26,27,28,29,210,211,212,213,214,215,216,217,2 18,2 19,220,2 21,2 22,2 23,2 24,2 25,2 26,2 27,2 28,2 29,2
0,3 1,32,33,34,35,3 6,3 7,3 8,39,310,311,312,313,314,315,316,317,3 18,3 19,3 20,3 21,3 22,3 23,324,3 25,3 26,3 27,3 28,329,3
0,4 1,4 2,43,44,45,4 6,47,4 8,49,410,411,412,413,414,415,416,417,4 18,419,420,421,422,423,424,4 25,4 26,4 27,4 28,429,4
0,5 1,5 2,5 3,5 4,55,5 6,5 7,5 8,5 9,5 10,511,512,513,514,515,516,517,5 18,519,520,521,522,523,524,5 25,5 26,527,528,529,5
0,6 1,62,6 3,6 4,6 5,6 6,6 7,6 8,6 9,6 10,611,612,613,614,615,616,617,6 18,6 19,620,6 21,6 22,623,624,625,626,627,628,629,6
0,7 1,72,7 3,74,75,7 6,7 7,7 8,7 9,7 10,711,712,713,714,715,716,717,7 18,7 19,7 20,7 21,7 22,7 23,7 24,725,726,727,728,729,7
0,8 1,8 2,8 3,84,85,8 6,8 7,8 8,89,8 10,8 11,812,813,814,815,816,817,8 18,8 19,8 20,821,8 22,8 23,8 24,825,826,827,828,829,8
0,9 1,9 2,9 3,94,95,9 6,9 7,9 8,9 9,9 10,9 11,912,913,914,915,916,917,918,919,920,921,922,923,9 24,925,926,927,928,929,9
0,10 1,102,10 3,10 4,105,106,10 7,10 8,10 9,10 10,10 11,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,10 23,10 24,1025,1026,1027,1028,1029,10
0,11 1,112,11 3,11 4,115,116,11 7,11 8,119,1110,11 11,11 12,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,11 23,1124,1125,1126,1127,1128,1129,11
0,12 1,12 2,12 3,124,12 5,12 6,12 7,12 8,12 9,12 10,12 11,12 12,1213,1214,1215,1216,1217,1218,1219,1220,12 21,12 22,12 23,1224,1225,1226,1227,1228,1229,12
0,131,132,133,134,13 5,13 6,13 7,13 8,13 9,13 10,13 11,1312,1313,1314,1315,1316,1317,1318,1319,1320,13 21,1322,1323,1324,1325,1326,1327,1328,1329,13
0,141,142,143,144,145,146,147,148,14 9,14 10,14 11,1412,1413,1414,1415,1416,1417,1418,1419,1420,14 21,14 22,14 23,1424,1425,1426,1427,1428,1429,14
0,151,152,153,154,155,156,157,158,159,1510,15 11,15 12,15 13,15 14,1515,1516,1517,1518,1519,1520,15 21,15 22,15 23,1524,1525,1526,1527,1528,1529,15
0,161,162,163,164,165,166,167,168,169,1610,1611,16 12,16 13,16 14,16 15,16 16,1617,1618,1619,1620,16 21,1622,1623,1624,1625,1626,1627,1628,1629,16
0,171,172,173,174,175,176,177,178,179,1710,1711,1712,1713,17 14,17 15,17 16,1717,1718,1719,1720,17 21,17 22,17 23,17 24,1725,1726,1727,1728,1729,17
0,181,182,183,184,185,186,187,188,189,1810,1811,1812,1813,18 14,18 15,1816,1817,1818,1819,1820,1821,1822,1823,18 24,1825,1826,1827,1828,1829,18
0,191,192,193,194,195,196,197,198,199,1910,1911,1912,1913,1914,19 15,19 16,19 17,1918,1919,1920,1921,1922,1923,19 24,1925,1926,1927,1928,1929,19
0,201,202,203,204,205,206,207,208,209,2010,2011,2012,2013,2014,2015,2016,20 17,20 18,20 19,20 20,2021,20 22,20 23,20 24,2025,2026,2027,2028,2029,20
0,211,212,213,214,215,216,217,218,219,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,21 20,21 21,21 22,21 23,21 24,2125,2126,2127,2128,2129,21
0,221,222,223,224,225,226,227,228,229,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,22 23,22 24,2225,2226,2227,2228,2229,22
0,231,232,233,234,235,236,237,238,239,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,23
0,241,242,243,244,245,246,247,248,249,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,24
0,251,252,253,254,255,256,257,258,259,2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,2529,25
0,261,262,263,264,265,266,267,268,269,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,26
0,271,272,273,274,275,276,277,278,279,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,27
0,281,282,283,284,285,286,287,288,289,2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2829,28
0,291,292,293,294,295,296,297,298,299,2910,2911,2912,2913,2914,2915,2916,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,29