*$j=1 =>
<tex>suma = dp[i-1][0]</tex> = 1

         <tex>suma_de_suma = dp[i-1][0]</tex> = 1$

         <tex>@suma_de_suma@ = dp[i-1][0]</tex> = 1$

care devin după update
        $<tex>suma = dp[i-1][0]+dp[i-1][j]</tex>$

        $<tex>suma_de_suma=2*dp[i-1][0]+dp[i-1][1]</tex>$

        $<tex>@suma_de_suma@=2*dp[i-1][0]+dp[i-1][1]</tex>$

*$j=2 =>
<tex>suma = dp[i-1][0] + dp[i-1][1]</tex>

         <tex>suma_de_suma = 2*dp[i-1][0] + dp[i-1][1]</tex>$

         <tex>@suma_de_suma@ = 2*dp[i-1][0] + dp[i-1][1]</tex>$

care devin după update
         $<tex>suma = dp[i-1][0] + dp[i-1][1]</tex>$

         $<tex>suma_de_suma=2*dp[i-1][0]+dp[i-1][1]</tex>$

         $<tex>@suma_de_suma@=2*dp[i-1][0]+dp[i-1][1]</tex>$