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80 changes: 80 additions & 0 deletions segment_tree.cpp
Original file line number Diff line number Diff line change
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#include <bits/stdc++.h>
using namespace std;

class SegmentTree {
int v_size, tree_size;
vector<int> tree;

int get(int l, int r, int tl, int tr, int node) {
if(l == tl && r == tr)
return tree[node];

int m = (tl + tr) / 2;
if(r <= m)
return get(l, r, tl, m, 2 * node);
else if(l > m)
return get(l, r, m + 1, tr, 2 * node + 1);
else
return max(get(l, m, tl, m, 2 * node), get(m + 1, r, m + 1, tr, 2 * node + 1))
}

public:
SegmentTree(const vector<int>& v) {
tree_size = 1;
v_size = v.size();
while(tree_size < v.size())
tree_size <<= 1;
tree_size <<= 1;

tree = vector<int>(tree_size, INT_MIN);
for(int i = 0; i < v.size(); ++i)
update(i, v[i]);
}

void update(int idx, int val) {
idx += tree_size / 2;
tree[idx] = val;

idx /= 2;
while(idx) {
tree[idx] = max(tree[2 * idx], tree[2 * idx + 1]);
if(tree[idx] > val)
break;
idx /= 2;
}
}

int query(int l, int r) {
return get(l + 1, r + 1, 1, v_size, 1);
}
};

int main() {
int n;
cin >> n;

vector<int> v(n);
for(int& t : v)
cin >> t;

SegmentTree seg(v);

while(true) {
int t;
cin >> t;

if(t == 1) {
int l, r;
cin >> l >> r;
cout << (seg.query(l, r)) << "\n";
}
else if(t == 2) {
int idx, val;
cin >> idx >> val;
seg.update(idx, val);
}
else {
break;
}
}
}