Home >Backend Development >PHP Tutorial >PHP backtracking method to solve the 0-1 knapsack problem example analysis, 0-1 example analysis_PHP tutorial
This article describes the PHP backtracking method to solve the 0-1 knapsack problem. Share it with everyone for your reference. The specific analysis is as follows:
This code is written based on the pseudocode of the "Software Designer" tutorial;
The most troublesome thing is not that the pseudocode is changed to PHP, but that the array subscript starts from 0 and the corresponding subscript judgment problem;
Along with the debugging output, write
<?php $v_arr = array(11,21,31,33,43,53,55,65); $w_arr = array(1,11,21,23,33,43,45,55); $n = count($w_arr ); //测试输出 var_dump(bknap1(110)); //var_dump(bound(139,89,7,110)); function bound($v,$w,$k,$W_total){ global $v_arr,$w_arr,$n; $b = $v; $c = $w; //var_dump($W_total);var_dump($n);var_dump($k);var_dump($v);var_dump($w); //die; for($i=$k+1;$i<$n;$i++){ $c = $c + $w_arr[$i]; //var_dump($W_total);var_dump($c); if($c<$W_total) $b += $v_arr[$i]; else{ //var_dump((1-($c-$W_total)/$w_arr[$i])*$v_arr[$i]); $b = $b+(1-($c-$W_total)/$w_arr[$i])*$v_arr[$i]; return $b; } } /*var_dump('------bound head'); var_dump($k); var_dump($b); var_dump('------bound end');*/ return $b; } function bknap1($W_total){ global $v_arr,$w_arr,$n; $cw = $cp = 0; $k = 0; $fp = -1; while(true){ while($k<$n && $cw+$w_arr[$k]<=$W_total){ $cw += $w_arr[$k]; $cp += $v_arr[$k]; $Y_arr[$k] = 1; $k +=1; } //var_dump($cw);var_dump($cp);var_dump($Y_arr);var_dump($k);var_dump($n); if($k==$n){ $fp = $cp; $fw = $cw; $k = $n-1; $X_arr = $Y_arr; //bound($cp,$cw,$k,$W_total); //var_dump(bound($cp,$cw,$k,$W_total),$fp,$k);die; //var_dump($fp);var_dump($fw);var_dump($Y_arr);var_dump($k);var_dump($n); }else{ $Y_arr[$k] = 0; } //var_dump($Y_arr);var_dump($k);var_dump($n);//die; //var_dump(bound($cp,$cw,$k,$W_total),$fp);die; while(bound($cp,$cw,$k,$W_total)<=$fp) { while($k>=0 && $Y_arr[$k]!=1){ $k -= 1; } if($k<0) { return $X_arr; } var_dump($k); $Y_arr[$k] = 0; $cw -= $w_arr[$k]; $cp -= $v_arr[$k]; } $k += 1; } } ?>
I hope this article will be helpful to everyone’s PHP programming design.