#6281. 数列分块入门 5

题目链接

 

用check来判断整个块是0是1，如果是0或者是1，就不用再对这个块里的元素开方了。

对一个数不断开方一定会缩小到0或者1。

//第一行输入一个数字 n。
//
//第二行输入 n 个数字，第 i 个数字为 ai，以空格隔开。
//
//接下来输入 n 行询问，每行输入四个数字 opt l r c，以空格隔开。
//
//若 opt=0，表示将位于 [l,r] 的之间的数字都开方 
//
//若 opt=1，表示询问 [l,r] 的所有数字的和
#pragma GCC optimize("Ofast")
#pragma comment(linker, "/STACK:102400000,102400000")
#pragma GCC target(sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx) 
#include <vector>
#include <iostream>
#include <string>
#include <map>
#include <stack>
#include <cstring>
#include <queue>
#include <list>
#include <stdio.h>
#include <set>
#include <algorithm>
#include <cstdlib>
#include <cmath>
#include <iomanip>
#include <cctype>
#include <sstream>
#include <functional>
#include <stdlib.h>
#include <time.h>
#include <bitset>
using namespace std;

#define pi acos(-1)
#define s_1(x) scanf("%d",&x)
#define s_2(x,y) scanf("%d%d",&x,&y)
#define s_3(x,y,z) scanf("%d%d%d",&x,&y,&z)
#define s_4(x,y,z,X) scanf("%d%d%d%d",&x,&y,&z,&X)
#define S_1(x) scan_d(x)
#define S_2(x,y) scan_d(x),scan_d(y)
#define S_3(x,y,z) scan_d(x),scan_d(y),scan_d(z)
#define PI acos(-1)
#define endl '\n'
#define srand() srand(time(0));
#define me(x,y) memset(x,y,sizeof(x));
#define foreach(it,a) for(__typeof((a).begin()) it=(a).begin();it!=(a).end();it++)
#define close() ios::sync_with_stdio(0); cin.tie(0);
#define FOR(x,n,i) for(int i=x;i<=n;i++)
#define FOr(x,n,i) for(int i=x;i<n;i++)
#define fOR(n,x,i) for(int i=n;i>=x;i--)
#define fOr(n,x,i) for(int i=n;i>x;i--)
#define W while
#define sgn(x) ((x) < 0 ? -1 : (x) > 0)
#define bug printf("***********\n");
#define db double
#define ll long long
#define mp make_pair
#define pb push_back
typedef long long LL;
typedef pair <int, int> ii;
const int INF=(1<<31); 
const LL LINF=0x3f3f3f3f3f3f3f3fLL;
const int dx[]={-1,0,1,0,1,-1,-1,1};
const int dy[]={0,1,0,-1,-1,1,-1,1};
const int maxn=1e6+10;
const int maxx=1e3+10;
const double EPS=1e-8;
const double eps=1e-8;
const int mod=1e9+7;
template<class T>inline T min(T a,T b,T c) { return min(min(a,b),c);}
template<class T>inline T max(T a,T b,T c) { return max(max(a,b),c);}
template<class T>inline T min(T a,T b,T c,T d) { return min(min(a,b),min(c,d));}
template<class T>inline T max(T a,T b,T c,T d) { return max(max(a,b),max(c,d));}
template <class T>
inline bool scan_d(T &ret){char c;int sgn;if (c = getchar(), c == EOF){return 0;}
while (c != '-' && (c < '0' || c > '9')){c = getchar();}sgn = (c == '-') ? -1 : 1;ret = (c == '-') ? 0 : (c - '0');
while (c = getchar(), c >= '0' && c <= '9'){ret = ret * 10 + (c - '0');}ret *= sgn;return 1;}

inline bool scan_lf(double &num){char in;double Dec=0.1;bool IsN=false,IsD=false;in=getchar();if(in==EOF) return false;
while(in!='-'&&in!='.'&&(in<'0'||in>'9'))in=getchar();if(in=='-'){IsN=true;num=0;}else if(in=='.'){IsD=true;num=0;}
else num=in-'0';if(!IsD){while(in=getchar(),in>='0'&&in<='9'){num*=10;num+=in-'0';}}
if(in!='.'){if(IsN) num=-num;return true;}else{while(in=getchar(),in>='0'&&in<='9'){num+=Dec*(in-'0');Dec*=0.1;}}
if(IsN) num=-num;return true;}

void Out(LL a){if(a < 0) { putchar('-'); a = -a; }if(a >= 10) Out(a / 10);putchar(a % 10 + '0');}
void print(LL a){ Out(a),puts("");}
//freopen( "in.txt" , "r" , stdin );
//freopen( "data.txt" , "w" , stdout );
//cerr << "run time is " << clock() << endl;

int n,block,l[maxn],r[maxn],num,belong[maxn];
LL a[maxn],add[maxn],sum[maxn];
//vector<int>seg[1005];
bool check(int i){
	for(int j=l[i];j<=r[i];j++)
		if(a[j]!=1&&a[j]!=0) return 0;
	return 1;
}
void build(){
	block=sqrt(n);
	num=n/block;  if(n%block) num++;
	for(int i=1;i<=num;i++)
		l[i]=(i-1)*block+1,r[i]=i*block;//块左端点  块右端点 
	r[num]=n;
	for(int i=1;i<=n;i++){
		belong[i]=(i-1)/block+1;//i属于哪一块 
	}
	for(int i=1;i<=num;i++)
		for(int j=l[i];j<=r[i];j++){
			sum[i]+=a[j];
		}
	
	for(int i=1;i<=belong[n];i++)
		if(check(i)) add[i]=1;
}


LL query(int x,int y){
	LL ans=0;
	for(int i=x;i<=min(y,r[belong[x]]);i++)
		ans+=a[i];
	if(belong[x]!=belong[y]){
		for(int i=l[belong[y]];i<=y;i++)
			ans+=a[i];
	}
	for(int i=belong[x]+1;i<belong[y];i++){ 
		ans+=sum[i];
	}
	return ans;
}
void update(int x,int y){	
	for(int i=x;i<=min(y,r[belong[x]]);i++)
		sum[belong[i]]-=a[i],a[i]=sqrt(a[i]),sum[belong[i]]+=a[i];
	if(check(belong[x])) add[belong[x]]=1;
	if(belong[x]!=belong[y]){
		for(int i=l[belong[y]];i<=y;i++)
			sum[belong[i]]-=a[i],a[i]=sqrt(a[i]),sum[belong[i]]+=a[i];
		if(check(belong[y])) add[belong[y]]=1;
	}
	for(int i=belong[x]+1;i<belong[y];i++){
		if(add[i]==1) continue;
		for(int j=l[i];j<=r[i];j++)
			sum[i]-=a[j],a[j]=sqrt(a[j]),sum[i]+=a[j];
		if(check(i)) add[i]=1;
	}
}
	
void solve(){
	s_1(n);
	FOR(1,n,i){
		S_1(a[i]);
	}
	build();
	FOR(1,n,i){
		LL opt,x,y,c;
		S_1(opt); 
		S_3(x,y,c);
		if(opt==1){
			print(query(x,y));
		}
		else {
			update(x,y);
		}
	}
}
int main(){
    //freopen( "in.txt" , "r" , stdin );
    //freopen( "data.txt" , "w" , stdout );
    int t=1;
    //init();
    //s_1(t);
    for(int cas=1;cas<=t;cas++){
        //printf("Case #%d: ",cas);
        solve();
    }
}