#回滚莫队#AT1219 歴史の研究

洛谷题目
AT1219


分析

不满足区间减性质的运算,如最值,就不能用普通莫队求,
考虑回滚莫队,它的核心思想就是若区间在块内直接暴力,
否则将右端点从小到大排序,右端点按普通莫队求,那么左端点由于只在一个块内,
所以询问完跳到块末,由于块的大小为根号,影响复杂度的实际上是右端点,
然后每次处理完相同左端点块清除标记


代码

#include <cstdio>
#include <cctype>
#include <cmath>
#include <algorithm>
#define rr register
using namespace std;
const int N=100011; typedef long long lll;
struct rec{int l,r,rk;}q[N]; lll Ans[N];
int a[N],b[N],pos[N],c[N],m,tot,bl,n,cnt[N],cnT[N];
inline signed iut(){
	rr int ans=0; rr char c=getchar();
	while (!isdigit(c)) c=getchar();
	while (isdigit(c)) ans=(ans<<3)+(ans<<1)+(c^48),c=getchar();
	return ans;
}
inline void print(lll ans){
	if (ans>9) print(ans/10);
	putchar(ans%10+48);
}
bool cmp(rec x,rec y){return (pos[x.l]^pos[y.l])?(pos[x.l]<pos[y.l]):(x.r<y.r);}
inline signed min(int a,int b){return a<b?a:b;}
inline lll max(lll a,lll b){return a>b?a:b;}
inline lll calc(int l,int r){
	rr lll ans=0;
	for (rr int i=l;i<=r;++i){
		++cnT[a[i]];
		ans=max(ans,1ll*cnT[a[i]]*b[a[i]]);
	}
	for (rr int i=l;i<=r;++i) --cnT[a[i]];
	return ans;
}
signed main(){
	n=iut(),m=iut(),bl=sqrt(n)+1;
	for (rr int i=1;i<=n;++i) b[i]=a[i]=iut(),pos[i]=(i-1)/bl+1;
	sort(b+1,b+1+n),tot=unique(b+1,b+1+n)-b-1;
	for (rr int i=1;i<=n;++i) a[i]=lower_bound(b+1,b+1+tot,a[i])-b;
	for (rr int i=1;i<=m;++i) q[i]=(rec){iut(),iut(),i};
	sort(q+1,q+1+m,cmp);
	for (rr int L=1,R;L<=m;L=R+1){
		rr int now=pos[q[L].l],Tot=0; rr lll ans=0;
		rr int Ed=min(now*bl,n),l=Ed+1,r=Ed;
		for (R=L;pos[q[R].l]==now;++R); --R;
		for (rr int i=L;i<=R;++i)
		if (now==pos[q[i].r]) Ans[q[i].rk]=calc(q[i].l,q[i].r);
		else{
			while (r<q[i].r){
				++cnt[a[++r]],c[++Tot]=a[r];
				ans=max(ans,1ll*cnt[a[r]]*b[a[r]]);
			}
			rr lll tmp=ans;
			while (l>q[i].l)
				++cnt[a[--l]],ans=max(ans,1ll*cnt[a[l]]*b[a[l]]);
			Ans[q[i].rk]=ans,ans=tmp;
			while (l<=Ed) --cnt[a[l++]];
		}
		for (rr int i=1;i<=Tot;++i) --cnt[c[i]];
	}
	for (rr int i=1;i<=m;++i)
	    print(Ans[i]),putchar(10);
	return 0;
}
原文地址:https://www.cnblogs.com/Spare-No-Effort/p/13945737.html