hdu 1698 (延迟标记+区间修改+区间求和)

In the game of DotA, Pudge’s meat hook is actually the most horrible thing for most of the heroes. The hook is made up of several consecutive metallic sticks which are of the same length.

Now Pudge wants to do some operations on the hook.

Let us number the consecutive metallic sticks of the hook from 1 to N. For each operation, Pudge can change the consecutive metallic sticks, numbered from X to Y, into cupreous sticks, silver sticks or golden sticks.
The total value of the hook is calculated as the sum of values of N metallic sticks. More precisely, the value for each kind of stick is calculated as follows:

For each cupreous stick, the value is 1.
For each silver stick, the value is 2.
For each golden stick, the value is 3.

Pudge wants to know the total value of the hook after performing the operations.
You may consider the original hook is made up of cupreous sticks.

Input
The input consists of several test cases. The first line of the input is the number of the cases. There are no more than 10 cases.
For each case, the first line contains an integer N, 1<=N<=100,000, which is the number of the sticks of Pudge’s meat hook and the second line contains an integer Q, 0<=Q<=100,000, which is the number of the operations.
Next Q lines, each line contains three integers X, Y, 1<=X<=Y<=N, Z, 1<=Z<=3, which defines an operation: change the sticks numbered from X to Y into the metal kind Z, where Z=1 represents the cupreous kind, Z=2 represents the silver kind and Z=3 represents the golden kind.

Output
For each case, print a number in a line representing the total value of the hook after the operations. Use the format in the example.

Sample Input
1
10
2
1 5 2
5 9 3

Sample Output
Case 1: The total value of the hook is 24.

Source
2008 “Sunline Cup” National Invitational Contest

思路：第一个想法是对不同区间的不通材料的分别做判断求和，后来根据lazy标记可以发现，在标记下压的过程中其实已经给区间分类了，膜法

#include <cstdio>
#include <iostream>
#include <algorithm>

using namespace std;
const int maxn=100000+100;
int sum[maxn<<2],add[maxn<<2];//lazy
void pushup(int rt) {//sum
    sum[rt]=sum[rt<<1]+sum[rt<<1|1];
}
void pushdown(int rt,int m) {
    if(add[rt]) {
        add[rt<<1]=add[rt<<1|1]=add[rt];
        sum[rt<<1]=(m-(m>>1))*add[rt];
        sum[rt<<1|1]=(m>>1)*add[rt];
        add[rt]=0;
    }
}
void build(int l,int r,int rt) {
    add[rt]=0;
    if(l==r) {
        sum[rt]=1;
        return;
    }
    int m=(l+r)>>1;
    build(l,m,rt<<1);
    build(m+1,r,rt<<1|1);
    pushup(rt);
}

void update(int c,int L,int R,int l,int r,int rt) {
    if(L<=l&&r<=R) {
        add[rt]=c;
        sum[rt]=c*(r-l+1);
        return;
    }
    pushdown(rt,r-l+1);
    int m=(l+r)>>1;
    if(L<=m) update(c,L,R,l,m,rt<<1);
    if(R>m) update(c,L,R,m+1,r,rt<<1|1);
    pushup(rt);
}
int main() {
//  freopen("input.txt","r",stdin);
    int t;
    scanf("%d",&t);
    for(int i=1;i<=t;i++) {
        int n;
        scanf("%d",&n);
        build(1,n,1);
        int m;
        scanf("%d",&m);
        while(m--) {
            int a,b,c;
            scanf("%d%d%d",&a,&b,&c);
            update(c,a,b,1,n,1);
        }
        printf("Case %d: The total value of the hook is %d.\n",i,sum[1]);
    }
    return 0;
}