import heapq
import sys
input=sys.stdin.readilne

def dijkstra(s,e):
    hq = [(0, s)]
    heapq.heapify(hq)
    cost = [float('inf')] * len(e)
    cost[s] = 0
    while hq:
        c, v = heapq.heappop(hq)
        if c > cost[v]:
            continue
        for u, d in e[v]:
            tmp = d + cost[v]
            if tmp < cost[u]:
                cost[u] = tmp
                heapq.heappush(hq, (tmp, u))
    return cost

n,m=map(int,input().split())
fees={}
for _ in range(m):
    y,x,cost=map(int,input().split())
    fees[(x-1,y-1)]=cost
g=[[] for _ in range(2*n**2)]
for y in range(n):
    for x in range(n):
        for dx,dy in [(0,1),(0,-1),(1,0),(-1,0)]:
            if 0<=x+dx<=n-1 and 0<=y+dy<=n-1:
                u=n*y+x
                v=n*(y+dy)+x+dx
                if (x+dx,y+dy) in fees:
                    g[u].append([v,1+fees[(x+dx,y+dy)]])
                    g[u].append([v+n**2,1])
                    g[u+n**2].append([v+n**2,1+fees[(x+dx,y+dy)]])
                else:
                    g[u].append([v,1])
                    g[u+n**2].append([v+n**2,1])
ans=dijkstra(0,g)
print(min(ans[n**2-1],ans[2*n**2-1]))