题目传送门:http://oi.cyo.ng/wp-content/uploads/2016/10/test3_problem.pdf
官方题解:http://oi.cyo.ng/wp-content/uploads/2016/10/solution.pdf
嗯,函数式线段树,挺好写的
但这™是NOIP模拟赛啊!
原始提问很简单,裸的函数式线段树
后来的更改,实际上就是求“询问区间包含p且询问值在数列的新旧值之间”的询问次数有多少
这样的话,可以打一打差分,然后也可以用函数式线段树搞
复杂度O(nlogn)
考试时候码的代码好丑啊……
#include<bits/stdc++.h> #define LL long long using namespace std; const int N = 100000+9; const int M = 10000000; int n,m,q,arr[N]; LL last_ans; vector<int> Q_tmp[N]; inline int read(){ char c=getchar(); int ret=0,f=1; while (c<'0'||c>'9') {if(c=='-')f=-1;c=getchar();} while (c<='9'&&c>='0') {ret=ret*10+c-'0';c=getchar();} return ret*f; } namespace Segment_Tree{ #define CT Segment_Tree int ch[M][2],sum[M],root[N],cnt,ans_tmp; void insert(int p, int &w, int l, int r, int pur) { w = ++cnt; sum[w] = sum[p] + 1; memcpy(ch[w],ch[p],sizeof(ch[w])); if (l < r) { int mid = l + r + 1 >> 1; if (pur < mid) { insert(ch[p][0], ch[w][0],l,mid-1,pur); } else { insert(ch[p][1], ch[w][1],mid,r,pur); } } } inline void build_tree(){ for (int i=1;i<=n;i++) { insert(root[i-1],root[i],1,n,arr[i]); } } void query(int w, int l, int r, int x, int f) { if (!w) { return; } else if (l < r){ int mid = l + r + 1 >> 1; if (mid <= x) { query(ch[w][1],mid,r,x,f); } else { ans_tmp += sum[ch[w][1]]*f; query(ch[w][0],l,mid-1,x,f); } } else if (l == r && l == x) { ans_tmp += sum[w]*f; } } inline int query(int l, int r, int x) { ans_tmp = 0; query(root[l-1],1,n,x,-1); query(root[r],1,n,x,1); return ans_tmp; } void modify(int p, int &w, int l, int r, int x, int f) { w = ++cnt; sum[w] = sum[p] + f; memcpy(ch[w],ch[p],sizeof(ch[w])); if (l < r) { int mid = l + r + 1 >> 1; if (x < mid) { modify(ch[p][0],ch[w][0],l,mid-1,x,f); } else { modify(ch[p][1],ch[w][1],mid,r,x,f); } } } inline void rebuild(){ memset(ch,0,sizeof(ch)); memset(sum,0,sizeof(sum)); memset(root,0,sizeof(root)); cnt = 0; for (int i=1;i<=n;i++) { root[i] = root[i-1]; for (int j=0,lim=Q_tmp[i].size();j<lim;j++) { int tmp = Q_tmp[i][j]; if (tmp < 0) { modify(root[i],root[i],1,n,-tmp,-1); } else { modify(root[i],root[i],1,n,tmp,1); } } } } void ask(int w, int l, int r, int x) { if (!w) { return; } else if (l == r && r == x) { ans_tmp += sum[w]; } else if (l < r) { int mid = l + r + 1 >> 1; if (x >= mid) { ask(ch[w][1],mid,r,x); ans_tmp += sum[ch[w][0]]; } else { ask(ch[w][0],l,mid-1,x); } } } inline int requery(int p, int x) { ans_tmp = 0; ask(root[p],1,n,x); return ans_tmp; } }; int main(){ freopen("seq.in","r",stdin); freopen("seq.out","w",stdout); n = read(); m = read(); q = read(); for (int i=1;i<=n;i++) { arr[i] = read(); } CT::build_tree(); for (int i=1,l,r,x;i<=m;i++) { l = read(); r = read(); x = read(); last_ans += CT::query(l,r,x); Q_tmp[l].push_back(x); Q_tmp[r+1].push_back(-x); } CT::rebuild(); printf("%lld\n",last_ans); for (int T=1,a,b;T<=q;T++) { a = read() ^ last_ans; b = read() ^ last_ans; last_ans += CT::requery(a,b); last_ans -= CT::requery(a,arr[a]); arr[a] = b; printf("%lld\n",last_ans); } return 0; }
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