Test Instructions:Link * * Method: **CDQ + tree-like array
parsing:First of all for this problem, after looking at the scope of the two-dimensional data structure is obviously not able to, so we may consider one-dimensional sorting after another on the data structure, but CDQ division can be very good to reflect its role. First of all, for each query sum, it is obvious that X is on its left and all the changes that appear in the time before it may have an effect on him. We follow the x first keyword, y second keyword, operation of the third keyword to sort all the queries, and then in the CDQ, each time the left half of the recursive processing, according to the x dynamic y this column value added to the tree array, to update the right half of all the query, notice here the tree array is needed to clear, That is, each CDQ is a different tree-like array. Another: This god pit, the array opening small is not re but WA array range is to open to 200000*4, because for each 1 operation, is an operation, and 2 operation according to the principle of repulsion, is 4 operations. So what's the complexity? O (nlog^2 (n)) cdq+ tree-like array. n<=800000
Code:
#include <cstdio>#include <cstring>#include <iostream>#include <algorithm>#define N 800010#define Q Q[tot]Using namespace Std;struct node{intOptx,yANo, Belong;}Q[n]NQ[n];intNintJd,tot,t;intAns[n];intC[n];intLowbit (int x){return x& (-x);}intGetsum (int x){intret=0; while(x) {ret+=c[x],x-=lowbit (x);}returnRET;} void Update (int x,intV) { while(x<=n) {c[x]+=v;x+=lowbit (x);}}intCMP (node A,node b) {if(A.x==b.x&&a.y==b.y)returna.opt<b.opt;if(A.x==b.x)returnA.y<b.y;returnA.x<b.x;} void Sov (intLintR) {if(L==R)return;intMid= (l+r) >>1, l1=l,l2=mid+1; for(inti=l;i<=r;i++) {if(Q[i].No<=mid&&Q[i]. opt==1) Update (Q[i].y,Q[i]. A);if(Q[i].No>mid&&Q[i]. opt==2) ans[Q[i]. Belong]+=getsum (Q[i].y); } for(inti=l;i<=r;i++) {if(Q[i].No<=mid&&Q[i]. opt==1) Update (Q[i].y,-Q[i]. A); } l1=l,l2=mid+1; for(inti=l;i<=r;i++) {if(Q[i].No<=MID) nq[l1++]=Q[i];ElseNq[l2++]=Q[i];} for(inti=l;i<=r;i++)Q[i]=nQ[i]; Sov (L,mid), Sov (mid+1, r);}intMain () {scanf ("%d", &n); while(SCANF ("%d", &JD) &&jd^3) {if(jd==1){int x,y, A;SCANF (" %d%d%d",&x,&y, &a);Q[++tot]. opt=1Q.x=xQ.y=y, Q.a=a,q.No=tot;}Else{intX1,x2,y1,y2; scanf"%d %d%d%d", &x1,&y1,&x2,&y2);Q[++tot]. opt=2Q.x=x1-1Q.y=y1-1, q.a=1Q.No=tot,q.belong=++t;Q[++tot]. opt=2Q.x=x1-1Q.y=y2,q.a=-1Q.No=tot,q.belong=t;Q[++tot]. opt=2Q.x=x2,q.y=y1-1, q.a=-1Q.No=tot,q.belong=t;Q[++tot]. opt=2Q.x=x2,q.y=y2,q.a=1Q.No=tot,q.belong=t; } }Sort(Q+1,Q+1+TOT,CMP); Sov1, tot); for(intI=1; i<=t;i++)printf("%d\ n", Ans[i]);}
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Bzoj 2683 Simple topic CDQ divide + tree-like array