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 heapq

n, m = map(int, input().split())
edge = [[]] + [[(0, i)] for i in range(n-1)]
for _ in range(m):
  l, r, c = map(int, input().split())
  edge[l-1].append((c, r-1))

inf = 1 << 60
dp = [0] + [inf] * (n - 1)
queue = [(0, 0)]
check = [False] * n
while queue and not check[-1]:
  dist, act = heapq.heappop(queue)
  check[act] = True
  for cost, vertex in edge[act]:
    if check[vertex]:
      continue
    d = dist + cost
    if dp[vertex] > d:
      heapq.heappush(queue, (d, vertex))
      dp[vertex] = d
if dp[-1] < inf:
  print(dp[-1])
else:
  print(-1)