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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 3,04,05,06,07,08,09,010,0 11,0 12,013,014,015,016,017,0 18,0 19,0 20,0 21,022,0 23,0 24,025,026,027,028,029,0
0,1 1,1 2,1 3,14,15,16,17,1 8,1 9,1 10,1 11,1 12,1 13,1 14,1 15,116,117,1 18,1 19,120,1 21,1 22,1 23,1 24,1 25,126,127,128,129,1
0,21,22,2 3,2 4,25,26,27,2 8,2 9,2 10,211,2 12,2 13,2 14,2 15,216,217,218,2 19,220,2 21,2 22,223,2 24,2 25,226,227,228,229,2
0,31,32,33,3 4,3 5,3 6,3 7,38,39,3 10,3 11,3 12,313,3 14,3 15,3 16,317,318,3 19,3 20,3 21,3 22,3 23,3 24,325,326,327,328,329,3
0,41,42,43,4 4,4 5,46,4 7,4 8,49,4 10,4 11,4 12,4 13,4 14,4 15,4 16,417,418,4 19,4 20,4 21,4 22,4 23,424,4 25,4 26,427,428,429,4
0,51,52,53,54,55,56,5 7,5 8,59,5 10,511,512,5 13,5 14,5 15,5 16,5 17,518,5 19,5 20,5 21,522,523,5 24,5 25,5 26,5 27,528,529,5
0,61,62,63,64,65,66,6 7,68,69,6 10,611,612,613,614,615,616,6 17,6 18,6 19,6 20,6 21,622,623,6 24,6 25,6 26,6 27,6 28,6 29,6
0,71,72,73,74,75,76,7 7,78,79,7 10,711,712,713,714,715,716,717,7 18,7 19,720,7 21,7 22,7 23,7 24,725,7 26,7 27,728,729,7
0,81,82,83,84,85,86,8 7,88,89,8 10,8 11,812,813,814,815,816,817,818,819,820,821,822,8 23,8 24,825,826,8 27,828,829,8
0,91,92,93,94,95,96,9 7,98,99,9 10,9 11,912,913,914,915,916,917,918,919,920,921,922,9 23,9 24,9 25,9 26,9 27,928,929,9
0,101,102,103,104,105,106,10 7,10 8,109,10 10,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,10 25,10 26,1027,1028,1029,10
0,111,112,113,114,115,116,117,11 8,11 9,11 10,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,11
0,121,122,123,124,125,126,127,128,129,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,12
0,131,132,133,134,135,136,137,138,139,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,13
0,141,142,143,144,145,146,147,148,149,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,14
0,151,152,153,154,155,156,157,158,159,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,15
0,161,162,163,164,165,166,167,168,169,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,16
0,171,172,173,174,175,176,177,178,179,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,17
0,181,182,183,184,185,186,187,188,189,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,18
0,191,192,193,194,195,196,197,198,199,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,19
0,201,202,203,204,205,206,207,208,209,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,20
0,211,212,213,214,215,216,217,218,219,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,21
0,221,222,223,224,225,226,227,228,229,2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2229,22
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