Just a Hook

最新推荐文章于 2020-08-25 08:01:48 发布

JustSmilelee

最新推荐文章于 2020-08-25 08:01:48 发布

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A - Just a Hook

Time Limit:2000MS Memory Limit:32768KB 64bit IO Format:%I64d & %I64u

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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

Sample Output

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

对于这种输出格式就应该复制粘贴，这个只需要更新就好了，因为最后输出的都是总值，就不需要查询了，对某点的标记pushdown后一定要记得清除。

#include <iostream>
#include<cstdio>
using namespace std;
int col[100010*4];
struct node
{
    int le,ri,sum;
}tt[100010*4];
void build(int id,int l,int r)
{
    tt[id].le=l;
    tt[id].ri=r;
    col[id]=0;
    if(l==r)
        tt[id].sum=1;
    else
    {
        int mid=(l+r)/2;
        build(id*2,l,mid);
        build(id*2+1,mid+1,r);
        tt[id].sum=tt[id*2].sum+tt[id*2+1].sum;
    }
}
void pushdown(int id)
{
    if(col[id])
    {
        col[id*2]=col[id];
        col[id*2+1]=col[id];
        int m=tt[id].ri-tt[id].le+1;
        tt[id*2].sum=(m-m/2)*col[id];
        tt[id*2+1].sum=(m/2)*col[id];
        col[id]=0;
    }
}
void update(int id,int l,int r,int c)
{
    if(l<=tt[id].le&&tt[id].ri<=r)
    {
        tt[id].sum=(tt[id].ri-tt[id].le+1)*c;
        col[id]=c;
    }
    else
    {
        pushdown(id);
        int m=(tt[id].le+tt[id].ri)/2;
        if(l<=m) update(id*2,l,r,c);
        if(r>m) update(id*2+1,l,r,c);
        tt[id].sum=tt[id*2].sum+tt[id*2+1].sum;
    }
}
int main()
{
    int t,n,q;
    scanf("%d",&t);
    for(int i=1;i<=t;i++)
    {
        scanf("%d%d",&n,&q);
        build(1,1,n);
        for(int j=0;j<q;j++)
        {
            int x,y,z;
            scanf("%d%d%d",&x,&y,&z);
            update(1,x,y,z);
        }
        printf("Case %d: The total value of the hook is %d.\n",i,tt[1].sum);
    }
    return 0;
}