UVa 12003 Array Transformer (分块)

Posted 2020-10-10 dwtfukgv

题意：给定一个序列，然后有 m 个修改，问你最后的序列是什么，修改是这样的 l r v p 先算出从 l 到 r 这个区间内的 小于 v 的个数k，然后把第 p 个的值改成 k * u / (r - l + 1)。

析：分块，每块长度是sz，把每一块都排序。然后在每次修改的时候，只要计算出 l 和 r 所在块，中间的用二分可以算出来。注意同时要把分块中的数也改掉。

代码如下：

#pragma comment(linker, "/STACK:1024000000,1024000000")
#include <cstdio>
#include <string>
#include <cstdlib>
#include <cmath>
#include <iostream>
#include <cstring>
#include <set>
#include <queue>
#include <algorithm>
#include <vector>
#include <map>
#include <cctype>
#include <cmath>
#include <stack>
#include <sstream>
#include <list>
#include <assert.h>
#include <bitset>
#define debug() puts("++++");
#define gcd(a, b) __gcd(a, b)
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
#define fi first
#define se second
#define pb push_back
#define sqr(x) ((x)*(x))
#define ms(a,b) memset(a, b, sizeof a)
//#define sz size()
#define pu push_up
#define pd push_down
#define cl clear()
#define all 1,n,1
#define FOR(i,x,n)  for(int i = (x); i < (n); ++i)
#define freopenr freopen("in.txt", "r", stdin)
#define freopenw freopen("out.txt", "w", stdout)
using namespace std;

typedef long long LL;
typedef unsigned long long ULL;
typedef pair<int, int> P;
const int INF = 0x3f3f3f3f;
const double inf = 1e20;
const double PI = acos(-1.0);
const double eps = 1e-8;
const int maxn = 3e5 + 10;
const int maxm = 1e5 + 10;
const int mod = 50007;
const int dr[] = {-1, 0, 1, 0};
const int dc[] = {0, -1, 0, 1};
const char *de[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"};
int n, m;
const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
inline bool is_in(int r, int c) {
  return r >= 0 && r < n && c >= 0 && c < m;
}

int a[maxn];
int b[560][560];
const int sz = 548;

int main(){
  int u;
  while(scanf("%d %d %d", &n, &m, &u) == 3){
    int idx = 0, cnt = 0;
    for(int i = 0; i < n; ++i){
      scanf("%d", a + i);
      b[idx][cnt] = a[i];
      if(++cnt == sz){ ++idx; cnt = 0; }
    }
    for(int i = 0; i < idx; ++i)  sort(b[i], b[i] + sz);
    if(cnt)  sort(b[idx], b[idx] + cnt);
    while(m--){
      int l, r, v, p;
      scanf("%d %d %d %d", &l, &r, &v, &p);
      --l, --r, --p;
      int lx = l / sz, rx = r / sz;
      int k = 0;
      if(lx == rx){
        for(int i = l; i <= r; ++i)  if(v > a[i])  ++k;
      }
      else {
        for(int i = l; i < (lx+1)*sz; ++i)  if(v > a[i])  ++k;
        for(int i = rx*sz; i <= r; ++i)  if(v > a[i])  ++k;
        for(int i = lx+1; i < rx; ++i)
          k += lower_bound(b[i], b[i] + sz, v) - b[i];
      }
      int c = (LL)u * k / (r - l + 1);
      int old = a[p];
      a[p] = c;
      int mx = p / sz;
      p = 0;
      while(b[mx][p] < old)  ++p;
      b[mx][p] = c;
      while(p - 1 >= 0 && b[mx][p] < b[mx][p-1])  swap(b[mx][p], b[mx][p-1]), --p;
      while(p + 1 < sz && b[mx][p] > b[mx][p+1])  swap(b[mx][p], b[mx][p+1]), ++p;
    }
    for(int i = 0; i < n; ++i)  printf("%d\n", a[i]);
  }
  return 0;
}