mod = 1000000007
eps = 10**-9


def main():
    import sys
    from heapq import heappush, heappop
    input = sys.stdin.buffer.readline

    class SegmentTree:
        def __init__(self, A, initialize=True, segfunc=max, ident=-20000000000):
            self.N = len(A)
            self.LV = (self.N - 1).bit_length()
            self.N0 = 1 << self.LV
            self.segfunc = segfunc
            self.ident = ident
            if initialize:
                self.data = [self.ident] * self.N0 + A + [self.ident] * (self.N0 - self.N)
                for i in range(self.N0 - 1, 0, -1):
                    self.data[i] = segfunc(self.data[i * 2], self.data[i * 2 + 1])
            else:
                self.data = [self.ident] * (self.N0 * 2)

        def update(self, i, x):
            i += self.N0 - 1
            self.data[i] = x
            for _ in range(self.LV):
                i >>= 1
                self.data[i] = self.segfunc(self.data[i * 2], self.data[i * 2 + 1])

        def get(self, i):
            return self.data[i + self.N0 - 1]

        # open interval [l, r)
        def query(self, l, r):
            l += self.N0 - 1
            r += self.N0 - 1
            ret_l = self.ident
            ret_r = self.ident
            while l < r:
                if l & 1:
                    ret_l = self.segfunc(ret_l, self.data[l])
                    l += 1
                if r & 1:
                    ret_r = self.segfunc(self.data[r - 1], ret_r)
                    r -= 1
                l >>= 1
                r >>= 1
            return self.segfunc(ret_l, ret_r)

        # return smallest i(l <= i < r) s.t. check(A[i]) == True
        def binsearch(self, l, r, check):
            if not check(self.query(l, r)):
                return r
            l += self.N0 - 1
            val = self.ident
            while True:
                if check(self.segfunc(val, self.data[l])):
                    break
                if l & 1:
                    val = self.segfunc(val, self.data[l])
                    l += 1
                l >>= 1
            while l < self.N0:
                newval = self.segfunc(val, self.data[l * 2])
                if not check(newval):
                    val = newval
                    l = (l << 1) + 1
                else:
                    l <<= 1
            return l - self.N0 + 1

    N = int(input())
    adj = [[] for _ in range(N+1)]
    C = []
    CC = []
    E = {}
    for i in range(N - 1):
        a, b, c = map(int, input().split())
        adj[a].append((b, c))
        adj[b].append((a, c))
        C.append((c, i+1, a, b))
        CC.append(c)
        E[a * (N + 1) + b] = i + 1
        E[b * (N + 1) + a] = i + 1

    C.sort(key=lambda x: x[0], reverse=True)
    ma = C[0][0]
    v_left = C[0][2]
    v_right = C[0][3]
    ST = SegmentTree(CC)
    ST.update(C[0][1], 0)
    seen = [0] * (N+1)
    seen[v_left] = 1
    seen[v_right] = 1
    pq = []
    par = [-1] * (N+1)
    for u, c in adj[v_left]:
        if not seen[u]:
            heappush(pq, (-c, u, 0))
            par[u] = v_left
    for u, c in adj[v_right]:
        if not seen[u]:
            heappush(pq, (-c, u, 1))
            par[u] = v_right
    ans = ST.query(1, N)
    mi = 10 ** 10
    while pq:
        c, v, flg = heappop(pq)
        c *= -1
        if flg == 0:
            if par[v] != v_left:
                continue
            i = E[v_left * (N + 1) + v]
        else:
            if par[v] != v_right:
                continue
            i = E[v_right * (N + 1) + v]
        mi = min(mi, c)
        ST.update(i, 0)
        ans = min(ans, max(ST.query(1, N), ma - mi))
        seen[v] = 1
        if flg == 0:
            v_left = v
            for u, cc in adj[v]:
                if not seen[u]:
                    heappush(pq, (-cc, u, 0))
                    par[u] = v
        else:
            v_right = v
            for u, cc in adj[v]:
                if not seen[u]:
                    heappush(pq, (-cc, u, 1))
                    par[u] = v
    print(ans)


if __name__ == '__main__':
    main()