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 heappush, heappop

def main():
    INF = float("inf")

    N, M, *LRC = map(int, open(0).read().split())

    E = [[] for _ in range(N)]
    for i in range(N - 1):
        E[i + 1].append((i, 0))
    for l, r, c in zip(*[iter(LRC)] * 3):
        E[l - 1].append((r - 1, c))

    D = [INF] * N
    D[0] = 0

    Q = [0]
    while Q:
        t = heappop(Q)
        dist, cur = t // N, t % N
        for nxt, cost in E[cur]:
            cand = dist + cost
            if D[nxt] > cand:
                D[nxt] = cand
                heappush(Q, cand * N + nxt)

    print(-1 if D[N - 1] == INF else D[N - 1])

main()