This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define dbg(x) cerr << #x << ": " << x << endl;
const int MAX_LOG = 35;
struct Segment {
int l;
int r;
int value;
Segment(int _l = 0, int _r = 0, int _value = 0)
: l(_l), r(_r), value(_value) {}
long long len() const {
return r - l + 1;
}
};
void merge(vector<Segment>& segs) {
vector<Segment> new_segs;
new_segs.reserve(MAX_LOG);
int n = segs.size();
for (int i = 0; i < n; ++i) {
int j = i;
int l = segs[i].l;
int r = segs[i].r;
while (j + 1 < n && segs[i].value == segs[j + 1].value) {
++j;
r = segs[j].r;
}
new_segs.emplace_back(l, r, segs[i].value);
i = j;
}
swap(segs, new_segs);
}
struct Node {
vector<Segment> pref;
vector<Segment> suf;
long long cnt;
int size;
Node(int _cnt = 0, int _size = 1) {
cnt = _cnt;
size = _size;
}
void apply(int l, int value) {
pref.clear();
suf.clear();
pref.emplace_back(l, l, value);
suf.emplace_back(l, l, value);
if (value <= 1) {
cnt = 0;
} else {
cnt = 1;
}
}
friend Node combine(const Node& lhs, const Node& rhs) {
if (lhs.cnt == -1) {
return rhs;
}
if (rhs.cnt == -1) {
return lhs;
}
Node new_node;
new_node.cnt = lhs.cnt + rhs.cnt;
new_node.size = lhs.size + rhs.size;
int j = 0;
int curr_size = lhs.size;
for (int i = 0; i < (int)rhs.pref.size(); ++i) {
while (j < (int)lhs.suf.size() && gcd(lhs.suf[j].value, rhs.pref[i].value) == 1) {
curr_size -= lhs.suf[j].len();
++j;
}
new_node.cnt += rhs.pref[i].len() * curr_size;
}
new_node.pref.reserve(MAX_LOG);
new_node.suf.reserve(MAX_LOG);
new_node.pref = lhs.pref;
for (int i = 0; i < (int)rhs.pref.size(); ++i) {
new_node.pref.emplace_back(rhs.pref[i].l, rhs.pref[i].r, gcd(lhs.pref.back().value, rhs.pref[i].value));
}
merge(new_node.pref);
for (int i = 0; i < (int)lhs.suf.size(); ++i) {
new_node.suf.emplace_back(lhs.suf[i].l, lhs.suf[i].r, gcd(lhs.suf[i].value, rhs.suf[0].value));
}
for (int i = 0; i < (int)rhs.suf.size(); ++i) {
new_node.suf.push_back(rhs.suf[i]);
}
merge(new_node.suf);
return new_node;
}
};
const int MAX_N = 1e5;
Node tree[MAX_N * 4];
int sz;
inline void build(int l, int r, int v, const vector<int>& a) {
if (l == r - 1) {
if (l >= (int)a.size()) {
tree[v] = Node(-1);
} else {
tree[v].apply(l, a[l]);
}
return;
}
int m = (l + r) / 2;
build(l, m, 2 * v + 1, a);
build(m, r, 2 * v + 2, a);
tree[v] = combine(tree[2 * v + 1], tree[2 * v + 2]);
}
inline void init(const vector<int>& a) {
sz = 1 << (__lg(a.size()) + 1);
build(0, sz, 0, a);
}
inline void update(int pos, int value) {
int v = pos + sz - 1;
tree[v].apply(pos, value);
while (v > 0) {
v = (v - 1) / 2;
tree[v] = combine(tree[2 * v + 1], tree[2 * v + 2]);
}
}
inline Node query(int l, int r, int v, int lq, int rq) {
if (lq <= l && r <= rq) {
return tree[v];
} else if (l >= rq || r <= lq) {
return Node(-1);
}
int m = (l + r) / 2;
return combine(query(l, m, 2 * v + 1, lq, rq), query(m, r, 2 * v + 2, lq, rq));
}
inline long long query(int lq, int rq) {
return query(0, sz, 0, lq, rq).cnt;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n, q;
cin >> n >> q;
vector<int> a(n);
for (auto& x : a) cin >> x;
init(a);
while (q--) {
int t;
cin >> t;
if (t == 1) {
int pos, value;
cin >> pos >> value;
--pos;
update(pos, value);
} else {
int l, r;
cin >> l >> r;
--l, --r;
cout << query(l, r + 1) << '\n';
}
}
return 0;
}
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