LOJ-6278-数列分块入门2(分块)

链接:

https://loj.ac/problem/6278

题意:

给出一个长为 的数列，以及 个操作，操作涉及区间加法，询问区间内小于某个值 的元素个数。

思路:

分块,用vector维护每个区域的数值,每次通过二分去找满足的值.

每次单个修改时

代码:

#include <iostream>
#include <cstdio>
#include <cstring>
#include <vector>
//#include <memory.h>
#include <queue>
#include <set>
#include <map>
#include <algorithm>
#include <math.h>
#include <stack>
#include <string>
#include <assert.h>
#include <iomanip>
#define MINF 0x3f3f3f3f
using namespace std;
typedef long long LL;
const int MAXN = 5e4+10;

int a[MAXN], Tag[MAXN];
int Rank[MAXN];
vector<int> Vec[MAXN];
int n, part;

void Re(int pos)
{
    Vec[pos].clear();
    for (int i = (pos-1)*part+1;i <= min(pos*part, n);i++)
        Vec[pos].push_back(a[i]);
    sort(Vec[pos].begin(), Vec[pos].end());
}

void Update(int l, int r, int c)
{
    for (int i = l;i <= min(r, Rank[l]*part);i++)
        a[i] += c;
    Re(Rank[l]);
    if (Rank[l] != Rank[r])
    {
        for (int i = (Rank[r]-1)*part+1;i <= r;i++)
            a[i] += c;
        Re(Rank[r]);
    }
    for (int i = Rank[l]+1;i <= Rank[r]-1;i++)
        Tag[i] += c;
}

int Query(int l, int r, int v)
{
    int cnt = 0;
    for (int i = l;i <= min(r, Rank[l]*part);i++)
    {
        if (a[i] + Tag[Rank[i]] < v)
            cnt++;
    }
    if (Rank[l] != Rank[r])
    {
        for (int i = max((Rank[r]-1)*part+1, l);i <= r;i++)
        {
            if (a[i]+Tag[Rank[i]] < v)
                cnt++;
        }
    }
    for (int i = Rank[l]+1;i <= Rank[r]-1;i++)
        cnt += lower_bound(Vec[i].begin(), Vec[i].end(), v-Tag[i])-Vec[i].begin();
    return cnt;
}

int main()
{
    scanf("%d", &n);
    part = sqrt(n);
    for (int i = 1;i <= n;i++)
        scanf("%d", &a[i]);
    for (int i = 1;i <= n;i++)
    {
        Rank[i] = (i - 1) / part + 1;
        Vec[Rank[i]].push_back(a[i]);
    }
    for (int i = 1;i <= Rank[n];i++)
        sort(Vec[i].begin(), Vec[i].end());
    int op, l, r, c;
    for (int i = 1;i <= n;i++)
    {
        scanf("%d %d %d %d", &op, &l, &r, &c);
        if (op == 0)
            Update(l, r, c);
        else
            printf("%d\n", Query(l, r, c*c));
    }

    return 0;
}