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算法模板——线段树1(区间加法+区间求和)

时间:2015-01-20 23:43:18      阅读:350      评论:0      收藏:0      [点我收藏+]

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实现功能——1:区间加法;2:区间求和

最基础最经典的线段树模板。由于这里面操作无顺序之分,所以不需要向下pushup,直接累积即可

 1 var
 2    i,j,k,l,m,n,a1,a2,a3,a4:longint;
 3    a,b:array[0..100000] of longint;
 4 function max(x,y:longint):longint;inline;
 5          begin
 6               if x>y then max:=x else max:=y;
 7          end;
 8 function min(X,Y:LOngint):longint;inline;
 9          begin
10               if x<y then min:=x else min:=y;
11          end;
12 procedure built(z,x,y:longint);inline;
13           begin
14                if x=y then
15                   read(a[z])
16                else
17                    begin
18                         built(z*2,x,(x+y) div 2);
19                         built(z*2+1,(x+y) div 2+1,y);
20                         a[z]:=a[z*2]+a[z*2+1];
21                    end;
22                b[z]:=0;
23           end;
24 function op(z,x,y,l,r,d:longint):longint;inline;
25          var a3,a4:longint;
26          begin
27               if l>r then exit(0);
28               if (x=l) and (r=y) then
29                  begin
30                       b[z]:=b[z]+d;
31                       exit(d*(r-l+1));
32                  end;
33               a3:=op(z*2,x,(x+y) div 2,l,min(r,(x+y) div 2),d);
34               a4:=op(z*2+1,(x+y) div 2+1,y,max((x+y) div 2+1,l),r,d);
35               a[z]:=a[z]+a3+a4;
36               exit(a3+a4);
37          end;
38 function cal(z,x,y,l,r,d:longint):longint;inline;
39          begin
40               if l>r then exit(0);d:=d+b[z];
41               if (x=l) and (y=r) then exit(a[z]+d*(r-l+1));
42               exit(cal(z*2,x,(x+y) div 2,l,min(r,(x+y) div 2),d)+cal(z*2+1,(x+y) div 2+1,y,max(l,(x+y) div 2+1),r,d));
43          end;
44 begin
45      readln(n,m);
46      built(1,1,n);
47      readln;
48      for i:=1 to m do
49          begin
50               read(j);
51               case j of
52                    1:begin
53                           readln(a1,a2,a3);
54                           op(1,1,n,a1,a2,a3);
55                    end;
56                    2:begin
57                           readln(a1,a2);
58                           writeln(cal(1,1,n,a1,a2,0));
59                    end;
60                    else halt;
61               end;
62          end;
63 end.
64                    

 

算法模板——线段树1(区间加法+区间求和)

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原文地址:http://www.cnblogs.com/HansBug/p/4237718.html

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