• 算法模板——线段树8 (字符串回文变换)


    实现功能:输入一个长度为N的由26个大写字母组成的字符串,输入M条指令:"1 x y",将x到y的字串重组构成一个字典序最小的回文串,如果不能构成回文串输出False,否则True并完成变换;"2 x y"输出从x到y的子串;"3 x y t"将x到y的所有字全部变成chr(t+64)(即对应大写字母)

    原理:用一个数组维护字母个数即可,然后再附带一个带tag的区间覆盖操作,实现回文串的重组

      1 type
      2     vec=array[0..26] of longint;
      3 var
      4    i,j,k,l,m,n,t:longint;
      5    a:array[0..500000] of vec;
      6    b:array[0..500000] of longint;
      7    c:array[0..500000] of ansistring;
      8 function empty:vec;inline;
      9          var a1:vec;
     10          begin
     11               fillchar(a1,sizeof(a1),0);
     12               exit(a1);
     13          end;
     14 function merge(a1,a2:vec):vec;inline;
     15          var i:longint;
     16          begin
     17               for i:=1 to 26 do a1[i]:=a1[i]+a2[i];
     18               exit(a1);
     19          end;
     20 function max(x,y:longint):longint;inline;
     21          begin
     22               if x>y then max:=x else max:=y;
     23          end;
     24 function min(x,y:longint):longint;inline;
     25          begin
     26               if x<y then min:=x else min:=y;
     27          end;
     28 function strr(x:longint;y:char):ansistring;inline;
     29          var s1:ansistring;i:longint;
     30          begin
     31               s1:='';
     32               for i:=1 to x do s1:=s1+y;
     33               exit(s1);
     34          end;
     35 procedure ext(z,x,y:longint);inline;
     36           begin
     37                if b[z]=0 then exit;
     38                if (x<>y) then
     39                   begin
     40                        b[z*2]:=b[z];
     41                        a[z*2]:=empty;
     42                        a[z*2][b[z*2]]:=(x+y) div 2-x+1;
     43                        c[z*2]:=strr((x+y) div 2-x+1,chr(b[z]+64));
     44                        b[z*2+1]:=b[z];
     45                        a[z*2+1]:=empty;
     46                        a[z*2+1][b[z*2+1]]:=y-(x+y) div 2;
     47                        c[z*2+1]:=strr(y-(x+y) div 2,chr(b[z]+64));
     48                   end;
     49                a[z]:=empty;
     50                a[z][b[z]]:=y-x+1;
     51                c[z]:=strr(y-x+1,chr(b[z]+64));
     52                b[z]:=0;
     53           end;
     54 
     55 procedure built(z,x,y:longint);
     56           var c1:char;
     57           begin
     58                if x=y then
     59                   begin
     60                        read(c1);c1:=upcase(c1);c[z]:=c1;
     61                        a[z]:=empty;a[z][ord(c1)-64]:=1;
     62                   end
     63                else
     64                    begin
     65                         built(z*2,x,(x+y) div 2);
     66                         built(z*2+1,(x+y) div 2+1,y);
     67                         c[z]:=c[z*2]+c[z*2+1];
     68                         a[z]:=merge(a[z*2],a[z*2+1]);
     69                    end;
     70                b[z]:=0;
     71           end;
     72 function getsum(z,x,y,l,r:longint):vec;
     73          var a1:vec;
     74          begin
     75               if l>r then exit(empty);
     76               if b[z]>0 then
     77                  begin
     78                       a1:=empty;
     79                       a1[b[z]]:=r-l+1;
     80                       exit(a1);
     81                  end;
     82               if (x=l) and (y=r) then exit(a[z]);
     83               getsum:=merge(getsum(z*2,x,(x+y) div 2,l,min(r,(x+y) div 2)),getsum(z*2+1,(x+y) div 2+1,y,max((x+y) div 2+1,l),r));
     84          end;
     85 procedure cover(z,x,y,l,r,t:longint);
     86           begin
     87                if l>r then exit;
     88                if (x=l) and (y=r) then
     89                   begin
     90                        b[z]:=t;
     91                        a[z]:=empty;a[z][b[z]]:=r-l+1;
     92                        c[z]:=strr(r-l+1,chr(64+b[z]));
     93                        exit;
     94                   end;
     95                ext(z,x,y);
     96                cover(z*2,x,(x+y) div 2,l,min(r,(x+y) div 2),t);
     97                cover(z*2+1,(x+y) div 2+1,y,max((x+y) div 2+1,l),r,t);
     98                c[z]:=c[z*2]+c[z*2+1];
     99                a[z]:=merge(a[z*2],a[z*2+1]);
    100           end;
    101 function setup(x,y:longint):boolean;
    102           var a1:vec;i,j,k,l:longint;
    103           begin
    104                a1:=getsum(1,1,n,x,y);
    105                l:=0;
    106                for i:=1 to 26 do
    107                    if odd(a1[i]) then
    108                       if l=0 then l:=i else exit(false);
    109                j:=x;k:=y;
    110                for i:=1 to 26 do
    111                    begin
    112                         cover(1,1,n,j,j+a1[i] div 2-1,i);
    113                         cover(1,1,n,k-a1[i] div 2+1,k,i);
    114                         j:=j+a1[i] div 2;k:=k-a1[i] div 2;
    115                    end;
    116                if l>0 then cover(1,1,n,j,k,l);
    117                exit(true);
    118           end;
    119 function getstr(z,x,y,l,r:longint):ansistring;inline;
    120          begin
    121               if l>r then exit('');
    122               if b[z]>0 then exit(strr(r-l+1,chr(b[z]+64)));
    123               if (x=l) and (y=r) then exit(c[z]);
    124               exit(getstr(z*2,x,(x+y) div 2,l,min(r,(x+y) div 2))+getstr(z*2+1,(x+y) div 2+1,y,max((x+y) div 2+1,l),r));
    125          end;
    126 begin
    127      readln(n,m);
    128      built(1,1,n);
    129      readln;
    130      for i:=1 to m do
    131          begin
    132               read(t);
    133               case t of
    134                    1:begin
    135                           readln(j,k);
    136                           writeln(setup(j,k));
    137                    end;
    138                    2:begin
    139                           readln(j,k);
    140                           writeln(getstr(1,1,n,j,k));
    141                    end;
    142                    3:begin
    143                           readln(j,k,l);
    144                           cover(1,1,n,j,k,l);
    145                    end;
    146               end;
    147          end;
    148 end.     
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  • 原文地址:https://www.cnblogs.com/HansBug/p/4293609.html
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