#include <bits/stdc++.h>
#define INF 999999999
using namespace std;
vector<vector<int> > treeAdj;
vector<int> smallestInSubtree, freePlacesInSubtree, depth, reverseTree;
vector<int> fillOrderId, fillIdToNode;
vector<vector<int> > jumpTable;
vector<bool> available;
priority_queue<int, vector<int>, greater<int> > availableSpots;
int n, q;
int root;
int lastRolledDepth;
void computeData(int node, int d){
int chld = treeAdj[node].size();
depth[node] = d;
//printf("Getting data for node %d (depth %d)\n", node, d);
if(chld == 0){
//printf("IT S A LEAF!\n");
smallestInSubtree[node] = node;
freePlacesInSubtree[node] = 1;
return;
}
int sml = node;
int fps = 1;
int v;
vector<pair<int, int> > newSortedAdj;
for(int i = 0; i < chld; i++){
v = treeAdj[node][i];
//printf("%d -th child of %d is %d\n", i+1, node, v);
computeData(v, d+1);
newSortedAdj.push_back({smallestInSubtree[v], v});
sml = min(sml, smallestInSubtree[v]);
fps+= freePlacesInSubtree[v];
}
sort(newSortedAdj.begin(), newSortedAdj.end());
for(int i = 0; i < chld; i++){
treeAdj[node][i] = newSortedAdj[i].second;
}
smallestInSubtree[node] = sml;
freePlacesInSubtree[node] = fps;
//printf("Got data for node %d (depth %d)\n", node, d);
return;
}
int computeFillOrderId(int node, int id){
int sz = treeAdj[node].size();
int v;
for(int i = 0; i < sz; i++){
v = treeAdj[node][i];
id = computeFillOrderId(v, id);
}
fillOrderId[node] = id;
fillIdToNode[id] = node;
//printf("Node %d has fill order id %d\n", node, id);
return id+1;
}
void computeJumpTable(int node){
int mxj;
if(node == root) mxj = 0;
else mxj = log2(depth[node])+1;
//printf("Can jump at most of %d from %d\n", mxj, node);
for(int i = 0; i < mxj; i++){
if(i == 0){
jumpTable[node][0] = reverseTree[node];
}
else{
jumpTable[node][i] = jumpTable[jumpTable[node][i-1]][i-1];
}
//printf("A jump of %d from %d lands at %d\n", 1<<i, node, jumpTable[node][i]);
}
int sz = treeAdj[node].size();
for(int i = 0; i < sz; i++){
computeJumpTable(treeAdj[node][i]);
}
}
int jumpInTree(int node, int jumpVal){
for(int i = 0; jumpVal != 0; jumpVal = jumpVal>>1){
//printf("Round %d, jumpVal is %d\n", i, jumpVal);
if(jumpVal&1){
// printf("Jumping of %d from %d\n", 1<<i, node);
node = jumpTable[node][i];
}
i++;
}
return node;
}
void printTreeState(){
printf("myIds: ");
for(int i = 0; i < n; i++){
printf("%d ", i);
}
printf("\nDepth: ");
for(int i = 0; i < n; i++){
printf("%d ", depth[i]);
}
printf("\nfree?: ");
for(int i = 0; i < n; i++){
printf("%d ", (available[i]?1:0));
}
printf("\n");
}
void addBallsWithPQ(int val){
int spot;
for(int i = 0; i < val; i++){
spot = availableSpots.top();
availableSpots.pop();
available[fillIdToNode[spot]] = false;
}
cout << fillIdToNode[spot]+1 << endl;
}
void removeBallWithPQ(int node){
int maxJump = depth[node];
int minJump = 0;
int md;
int guess;
while(minJump <= maxJump){
md = (minJump + maxJump)/2;
//printf("Trying to jump from %d of %d : ", node, md);
guess = jumpInTree(node, md);
//printf("landed on %d\n", guess);
if(available[guess]){
maxJump = md-1;
}
else{
if(guess == root || available[reverseTree[guess]]){
//printf("Highest ball above %d is %d\n", node, guess);
available[guess] = true;
lastRolledDepth = depth[guess];
availableSpots.push(fillOrderId[guess]);
return;
}
else{
minJump = md+1;
}
}
}
return;
/*int index = val;
int last = index;
while(true){
if(available[index]){
lastRolledDepth = depth[last];
if(last != index) availableSpots.push(fillOrderId[last]);
available[last] = true;
return;
}
else if(index == root){
lastRolledDepth = depth[root];
if(last != index) availableSpots.push(fillOrderId[root]);
available[root] = true;
return;
}
last = index;
index = reverseTree[index];
}*/
}
int main()
{
ios::sync_with_stdio(false);
cin.tie();
int p;
cin >> n >> q;
depth.resize(n);
reverseTree.resize(n);
treeAdj.resize(n);
smallestInSubtree.resize(n);
freePlacesInSubtree.resize(n);
fillIdToNode.resize(n);
fillOrderId.resize(n);
jumpTable.resize(n);
available.assign(n, true);
int maxBinaryJump = log2(n)+1;
for(int i = 0; i < n; i++){
jumpTable[i].resize(maxBinaryJump);
cin >> p;
if(p == 0) root = i;
else{
treeAdj[p-1].push_back(i);
reverseTree[i] = p-1;
}
}
//cout << "Going to compute data" << endl;
//return 0;
computeData(root, 0);
computeFillOrderId(root, 0);
computeJumpTable(root);
for(int i = 0; i < n; i++){
availableSpots.push(i);
}
/*
printf("Priority queue content: ");
for(int i = 0; i < n; i++){
printf("%d ", availableSpots.top());
availableSpots.pop();
}
printf("\n");
for(int i = 0; i < n; i++){
availableSpots.push(i);
}
*/
//return 0;
//cout << "Data was computedd successfully" << endl;
int action, val;
for(int i = 0; i < q; i++){
cin >> action >> val;
if(action == 1){
addBallsWithPQ(val);
}
else{
val--;
removeBallWithPQ(val);
//cout << "Last rolled depth is " << *lastRolledDepth << endl;
cout << depth[val] - lastRolledDepth << endl;
}
//printTreeState();
}
return 0;
}
