Fast Matrix Operations UVA - 11992

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1： 只保留一个update时的maintain语句
2：时刻记着延迟标记只是延迟往下的标记，并不延迟节点本身，时刻修改，当延迟标记下到某个地方，它的值就应该被修改

// UVa11992 Fast Matrix Operations（更易读、更具一般性的版本）
// Rujia Liu
// 注意：所有叶子上总是保留set标记而不会被清除（pushdown只能针对非叶结点），因此maintain函数对于叶子来说并不会重复累加addv[o]
// 本程序在query的时候进行了标记传递（即pushdown），更具一般性，代码可读性也更强，但执行效率较低
// 有兴趣的读者请参考代码仓库中的uva11992.cpp，那个写法是书上例题中的代码，避开了query中的标记传递，执行效率比本代码高

#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;

const int maxnode = 1<<17;
const int INF = 1000000000;

int op, x1, x2, y1, y2, x, v;

struct IntervalTree {
  int sumv[maxnode], minv[maxnode], maxv[maxnode], setv[maxnode], addv[maxnode];

  // 维护信息
  void maintain(int o, int L, int R) {
    int lc = o*2, rc = o*2+1;
    if(R > L) {
      sumv[o] = sumv[lc] + sumv[rc];
      minv[o] = min(minv[lc], minv[rc]);
      maxv[o] = max(maxv[lc], maxv[rc]);
    }
    if(setv[o] >= 0) { minv[o] = maxv[o] = setv[o]; sumv[o] = setv[o] * (R-L+1); }
    if(addv[o]) { minv[o] += addv[o]; maxv[o] += addv[o]; sumv[o] += addv[o] * (R-L+1); }
  }

  // 标记传递
  void pushdown(int o,int l,int r) {
    int lc = o*2, rc = o*2+1;
    int m = (l+r)>>1;
    if(setv[o] >= 0) {
      setv[lc] = setv[rc] = setv[o];
      sumv[lc] = setv[o]*(m-l+1);
      sumv[rc] = setv[o]*(r-m);
      minv[lc] = minv[rc] = setv[o];
      maxv[lc] = maxv[rc] = setv[o];
      addv[lc] = addv[rc] = 0;
      setv[o] = -1; // 清除本结点标记
    }
    if(addv[o]) {
      sumv[lc] += addv[o]*(m-l+1);
      sumv[rc] += addv[o]*(r-m);
      minv[lc] += addv[o];
      maxv[lc] += addv[o];
      minv[rc] += addv[o];
      maxv[rc] += addv[o];
      addv[lc] += addv[o];
      addv[rc] += addv[o];
      addv[o] = 0; // 清除本结点标记
    }
  }

  void update(int o, int L, int R) {
    int lc = o*2, rc = o*2+1;
    if(y1 <= L && y2 >= R) { // 标记修改      
      if(op == 1) {
        addv[o] += v;
        sumv[o] += (R-L+1)*v;
        maxv[o] += v;
        minv[o] += v;
      }
      else {
        setv[o] = v; addv[o] = 0; 
        sumv[o] = (R-L+1)*v;
        maxv[o] = v;
        minv[o] = v;
      }
    } else {
      pushdown(o,L,R);
      int M = L + (R-L)/2;
      if(y1 <= M) update(lc, L, M);//else maintain(lc, L, M);
      if(y2 > M) update(rc, M+1, R);// else maintain(rc, M+1, R);
       maintain(o, L, R);
    }
   
  }

  void query(int o, int L, int R, int& ssum, int& smin, int &smax) {
    int lc = o*2, rc = o*2+1;
     //maintain(o, L, R); // 处理被pushdown下来的标记
    if(y1 <= L && y2 >= R) {
      ssum = sumv[o];
      smin = minv[o];
      smax = maxv[o];
    } else {
      pushdown(o,L,R);
      int M = L + (R-L)/2;
      int lsum = 0, lmin = INF, lmax = -INF;
      int rsum = 0, rmin = INF, rmax = -INF;
      if(y1 <= M) query(lc, L, M, lsum, lmin, lmax); //else maintain(lc, L, M);
      if(y2 > M) query(rc, M+1, R, rsum, rmin, rmax); //else maintain(rc, M+1, R);
      ssum = lsum + rsum;
      smin = min(lmin, rmin);
      smax = max(lmax, rmax);
    }
  }

};

const int maxr = 20 + 5;

IntervalTree tree[maxr];

int main() {
  int r, c, m;
  while(scanf("%d%d%d", &r, &c, &m) == 3) {
    memset(tree, 0, sizeof(tree));
    for(x = 1; x <= r; x++) {
      memset(tree[x].setv, -1, sizeof(tree[x].setv));
      tree[x].setv[1] = 0;
    }
    while(m--) {
      scanf("%d%d%d%d%d", &op, &x1, &y1, &x2, &y2);
      if(op < 3) {
        scanf("%d", &v);
        for(x = x1; x <= x2; x++) tree[x].update(1, 1, c);
      } else {
        int gsum = 0, gmin = INF, gmax = -INF;
        for(x = x1; x <= x2; x++) {
          int ssum, smin, smax;
          tree[x].query(1, 1, c, ssum, smin, smax);
          gsum += ssum; gmin = min(gmin, smin); gmax = max(gmax, smax);
        }
        printf("%d %d %d\n", gsum, gmin, gmax);
      }
    }
  }
  return 0;
}