Problem: We have N points numbered 1 to N arranged in a line in this order.

Takahashi decides to make an undirected graph, using these points as the vertices. In the beginning, the graph has no edge. Takahashi will do M operations to add edges in this graph. The i-th operation is as follows:

* The operation uses integers L_i and R_i between 1 and N (inclusive), and a positive integer C_i. For every pair of integers (s, t) such that L_i \leq s < t \leq R_i, add an edge of length C_i between Vertex s and Vertex t.



The integers L_1, ..., L_M, R_1, ..., R_M, C_1, ..., C_M are all given as input.

Takahashi wants to solve the shortest path problem in the final graph obtained. Find the length of the shortest path from Vertex 1 to Vertex N in the final graph.

Constraints

* 2 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq L_i < R_i \leq N
* 1 \leq C_i \leq 10^9

Input

Input is given from Standard Input in the following format:


N M
L_1 R_1 C_1
:
L_M R_M C_M


Output

Print the length of the shortest path from Vertex 1 to Vertex N in the final graph. If there is no shortest path, print `-1` instead.

Examples

Input

4 3
1 3 2
2 4 3
1 4 6


Output

5


Input

4 2
1 2 1
3 4 2


Output

-1


Input

10 7
1 5 18
3 4 8
1 3 5
4 7 10
5 9 8
6 10 5
8 10 3


Output

28

Solution (in PYTHON3):

Solution:
import sys
from heapq import heappush,heappop,heapify
read=sys.stdin.readline
INF=10**30

def dijkstra(G,s,n):
    que=[(0,s)]
    dist=[INF]*n
    dist[s]=0
    while que:
        mincost,u=heappop(que)
        if(mincost>dist[u]):
            continue
        for c,v in G[u]:
            if(dist[u]+c<dist[v]):
                dist[v]=dist[u]+c
                heappush(que,(dist[v],v))
    return dist

N,M=map(int,read().split())

G=[[] for _ in range(N)]
for i in range(N-1):
    G[i+1].append((0,i))
    
for i in range(M):
    L,R,C=map(int,read().split())
    L-=1;R-=1
    G[L].append((C,R))
    
dist=dijkstra(G,0,N)
ans=dist[N-1]
print(ans if ans!=INF else -1)