算法模板——线段树1(区间加法+区间求和)
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