Description

Bessie is such a hard-working cow. In fact, she is so focused on maximizing her productivity that she decides to schedule her next N (1 ≤ N ≤ 1,000,000) hours (conveniently labeled 0..N-1) so that she produces as much milk as possible.

Farmer John has a list of M (1 ≤ M ≤ 1,000) possibly overlapping intervals in which he is available for milking. Each interval i has a starting hour (0 ≤ starting_hour_i ≤ N), an ending hour (starting_hour_i < ending_hour_i ≤ N), and a corresponding efficiency (1 ≤ efficiency_i ≤ 1,000,000) which indicates how many gallons of milk that he can get out of Bessie in that interval. Farmer John starts and stops milking at the beginning of the starting hour and ending hour, respectively. When being milked, Bessie must be milked through an entire interval.

Even Bessie has her limitations, though. After being milked during any interval, she must rest R (1 ≤ R ≤ N) hours before she can start milking again. Given Farmer Johns list of intervals, determine the maximum amount of milk that Bessie can produce in the N hours.

Input

* Line 1: Three space-separated integers: N

Output

* Line 1: The maximum number of gallons of milk that Bessie can product in the N hours

Sample Input

12 4 2
1 2 8
10 12 19
3 6 24
7 10 31

Sample Output

43

Source

#define MAXN //區間數 
struct node{
	int s;//區域開始的下標 
	int e;//區域結束的下標 
	int w;//區域代表的值 
}a[MAXN];
int dp[MAXN];
int main(){
	sort(a,a+m);//按開始的下標排序 
	int ans=0;
	for(int i=0;i<m;i++){
		dp[i]=a[i].w;
		for(int j=0;j<i;j++){
			if(a[i].s>=a[j].e)
			dp[i]=max(dp[i],dp[j]+a[i].w);
			ans=max(ans,dp[i]);
		}
	}
}

#include<iostream>
#include<algorithm>
#include<cstdio>
using namespace std;
struct node{
	int s,e,w;
}a[1005];
int dp[1005];
bool cmp(node a,node b){
	if(a.s<b.s)return true;
	if(a.s==b.s&&a.e<b.e)return true;
	return false;
}
int main(){
	int n,m,r;
	scanf("%d%d%d",&n,&m,&r);
	for(int i=0;i<m;i++){
		scanf("%d%d%d",&a[i].s,&a[i].e,&a[i].w);
		a[i].e+=r;
	}
	sort(a,a+m,cmp);
	int ans=0;
	for(int i=0;i<m;i++){
		dp[i]=a[i].w;
		for(int j=0;j<i;j++){
			if(a[i].s>=a[j].e)
			dp[i]=max(dp[i],dp[j]+a[i].w);
			ans=max(ans,dp[i]);
		}
	}
	printf("%d\n",ans);
	return 0;
}