n = int(input())
hirlanc = [0] + [int(i) for i in input().split()]
count = [-1] + n * [0]
state = [''] + n * ["U"]
stack = []
circle = []

def update(cur):
    global circle
    if "A" in state[cur]:
        if "E" not in state[hirlanc[cur]]:
            stack.append(cur)
            while stack and stack[-1] not in circle:
                circle.append(stack.pop())
            if stack:
                stack.pop()
            for i in circle:
                count[i] = len(circle)
                state[i] = "E"
            circle = []
            if stack:
                update(stack[-1])
        else:
            count[cur] = count[hirlanc[cur]] + 1
            state[cur] = "E"
            if stack:
                update(stack.pop())
    elif "E" in state[cur]:
        if stack:
            last = stack.pop()
            count[last] = count[cur] + 1
            state[last] = "E"
            update(last)
    else:
        state[cur] = "A"
        stack.append(cur)
        update(hirlanc[cur])

while 0 in count:
    idx = count.index(0)
    update(idx)
    # print(f'stack: {stack}, circle: {circle}, state: {state}, count: {count}')

mx = max(count)
print(count.index(mx), mx)