hdu 1698 Just a Hook
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Just a Hook
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.
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.
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
11021 5 25 9 3
Sample Output
Case 1: The total value of the hook is 24.
线段树的区间更改问题
code:
#include <algorithm>#include <bitset>#include <cmath>#include <complex>#include <cstdio>#include <cstring>#include <fstream>#include <functional>#include <iomanip>#include <iostream>#include <list>#include <map>#include <queue>#include <set>#include <stack>#include <string>#include <vector>using namespace std;#define lson l,m,rt<<1#define rson m+1,r,rt<<1|1#define M 100007#define intm m=l+((r-l)>>1)int sum[M<<2],col[M<<2];void push_up(int rt){ sum[rt]=sum[rt<<1]+sum[rt<<1|1];}void push_down(int rt,int m){//向下更新,每次只需要更新到能求出1-n的和的地方 if(col[rt]) { col[rt<<1]=col[rt<<1|1]=col[rt]; sum[rt<<1]=(m-(m>>1))*col[rt];//如果奇数,左比右多一 sum[rt<<1|1]=(m>>1)*col[rt]; col[rt]=0; }}void build(int l,int r,int rt){ sum[rt]=1; col[rt]=0; if(l==r) return; int intm; build(lson); build(rson); push_up(rt);}void update(int a,int b,int c,int l,int r,int rt){ if(a<=l&&r<=b) { col[rt]=c; sum[rt]=c*(r-l+1); return ; } push_down(rt,r-l+1); int intm; if(a<=m) update(a,b,c,lson); if(b>m) update(a,b,c,rson); push_up(rt);}int main(){ #if 0 freopen("in.txt","r",stdin); freopen("out.txt","w",stdout); #endif int t,o=1; scanf("%d",&t); while(t--) { int n,q,a,b,c; scanf("%d%d",&n,&q); build(1,n,1); for(int k=1;k<=q;k++) { scanf("%d%d%d",&a,&b,&c); update(a,b,c,1,n,1); } printf("Case %d: The total value of the hook is %d.\n",o++,sum[1]); }}
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