1698-Just a Hook 线段树（区间替换）

Just a Hook

Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 32141    Accepted Submission(s):
15804

Problem Description

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.

题意：n个数初始值为1，m次操作区间替换，输出总和

 #include<cstdio>
 #define lson l,m,rt<<1
 #define rson m+1,r,rt<<1|1
 const int MAXN = ;
 int sum[MAXN<<];
 int col[MAXN<<];
 int t,n,q;
 void putup(int rt)
 {
     sum[rt] = sum[rt<<]+sum[rt<<|];
 }
 void putdown(int rt,int m)
 {
     if (col[rt])
     {
         col[rt<<] = col[rt<<|] = col[rt];
         sum[rt<<] = (m-(m>>))*col[rt];
         sum[rt<<|] = (m>>)*col[rt];
         col[rt] = ;
     }
 }
 void build(int l,int r,int rt)
 {
     col[rt] = ;
     sum[rt] = ;
     if (l==r) return ;
     int m = (l+r)>>;
     build(lson);
     build(rson);
     putup(rt);
 }
 void update(int l,int r,int rt,int L,int R,int c)
 {
     if (L<=l && r<=R)
     {
         col[rt] = c;
         sum[rt] = c*(r-l+);
         return ;
     }
     putdown(rt,r-l+);
     int m = (l+r)>>;
     if (L<=m) update(lson,L,R,c);
     if (R>m)  update(rson,L,R,c);
     putup(rt);
 }
 int main()
 {
     scanf("%d",&t);
     for (int i=; i<=t; ++i)
     {
         scanf("%d%d",&n,&q);
         build(,n,);
         while (q--)
         {
             int x,y,z;
             scanf("%d%d%d",&x,&y,&z);
             update(,n,,x,y,z);
         }
         printf("Case %d: The total value of the hook is %d.\n",i,sum[]);
     }
     return ;
 }