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:
from heapq import *
from collections import *

N, M = map(int, input().split())
L, R, C = [0] * M, [0] * M, [0] * M

for i in range(M):
    L[i], R[i], C[i] = map(int, input().split())
    L[i] -= 1
    R[i] -= 1

start = defaultdict(lambda: [])
end = defaultdict(lambda: [])
for i in range(M):
    start[L[i]].append(i)
    end[R[i]].append(i)

state = []
for i in start[0]:
    heappush(state, (C[i], i))

for i in range(1, N):
    while len(state) > 0 and R[state[0][1]] < i:
        heappop(state)

    if len(state) == 0:
        print(-1)
        exit()

    for j in start[i]:
        heappush(state, (state[0][0] + C[j], j))

print(state[0][0])