#include <bits/stdc++.h>
#define all(x) (x).begin(), (x).end()
#define endl '\n'
typedef long double ld;
typedef unsigned long long ull;
using namespace std;
const int32_t maxn = 400000;
vector<vector<int32_t>> T;
vector<int32_t> B;
int32_t d[maxn + 1];
int32_t x = 1;
void Tbuild(int32_t n)
{
B.resize(n + 1);
B[0] = -1;
for (int32_t i = 1; i <= n; i++)
{
B[i] = B[i >> 1] + 1;
}
T.assign(1 + B[n], vector<int32_t>(n + 1));
}
void init()
{
Tbuild(maxn + 1);
}
void path(int32_t a, int32_t s)
{
int32_t ls = a;
for (int32_t i = 1; i <= s; i++)
{
x++;
d[x] = d[ls] + 1;
T[0][x] = ls;
for (int32_t j = 1; j <= B[x]; j++)
{
T[j][x] = T[j - 1][T[j - 1][x]];
}
ls = x;
}
}
int32_t lift(int32_t a, int32_t up)
{
for (int32_t i = B[maxn]; i >= 0; i--)
{
if ((1 << i) & up)
{
a = T[i][a];
}
}
return a;
}
int32_t lca(int32_t a, int32_t b)
{
if (d[a] > d[b])
{
swap(a, b);
}
b = lift(b, d[b] - d[a]);
if (b == a)
{
return a;
}
for (int32_t i = B[maxn]; i >= 0; i--)
{
int32_t pA = T[i][a];
int32_t pB = T[i][b];
if (pA != pB)
{
a = pA;
b = pB;
}
}
return T[0][a];
}
int32_t dig(int32_t a, int32_t b)
{
int32_t P = lca(a, b);
int32_t L = d[a] - d[P] + d[b] - d[P] + 1;
int32_t lt = d[a] - d[P] + 1;
int32_t el = (L+1)/2;
if (el <= lt)
{
return lift(a, el - 1);
}
else
{
return lift(b, L - el);
}
}
int main()
{
int32_t num_calls;
cin >> num_calls;
for (int32_t i = 1; i <= num_calls; i++)
{
char call[2];
int32_t a, b;
cin >> call[0] >> a >> b;
// scanf("%s%d%d", call, &a, &b);
if (call[0] == 'i')
init();
else if (call[0] == 'p')
path(a, b);
else
cout<<dig(a,b)<<endl;
}
return 0;
}
