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;
typedef long long ll;
#define f first
#define s second
#define pb push_back
#define ep emplace
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define uniquev(v) sort(all(v)), (v).resize(unique(all(v)) - (v).begin())
#define mem(f,x) memset(f , x , sizeof(f))
#define sz(x) (ll)(x).size()
#define __lcm(a, b) (1ll * ((a) / __gcd((a), (b))) * (b))
#define mxx *max_element
#define mnn *min_element
#define cntbit(x) __builtin_popcountll(x)
#define len(x) (int)(x.length())
const int N = 1e5 + 10;
struct node{
vector <pair <int, int>> pr, suff;
ll cc = 0;
void build(int x) {
pr.clear();
suff.clear();
if (x != 1) {
cc = 1;
} else {
cc = 0;
}
pr.pb({x, 1});
suff.pb({x, 1});
}
} seg[N * 4];
int a[N];
node merge(node A, node B) {
node C;
C.cc = A.cc + B.cc;
C.pr = A.pr;
int cur = A.pr.back().f, cnt = A.pr.back().s;
C.pr.pop_back();
for (auto x : B.pr) {
if (x.f % cur) {
C.pr.pb({cur, cnt});
cnt = x.s;
cur = __gcd(cur, x.f);
} else {
cnt += x.s;
}
}
C.pr.pb({cur, cnt});
C.suff = B.suff;
cur = B.suff.back().f, cnt = B.suff.back().s;
C.suff.pop_back();
for (auto x : A.suff) {
if (x.f % cur) {
C.suff.pb({cur, cnt});
cnt = x.s;
cur = __gcd(cur, x.f);
} else {
cnt += x.s;
}
}
C.suff.pb({cur, cnt});
int j = 0;
ll ss = 0;
for (int i = sz(A.suff) - 1; i >= 0; i--) {
while (j < sz(B.pr) && __gcd(B.pr[j].f, A.suff[i].f) > 1) {
ss += B.pr[j].s;
j++;
}
C.cc += ss * (ll)A.suff[i].s;
}
return C;
}
void build(int id, int l, int r) {
if (l == r) {
seg[id].build(a[l]);
return;
}
int m = (l + r) / 2;
build(id * 2, l, m);
build(id * 2 + 1, m + 1, r);
seg[id] = merge(seg[id * 2], seg[id * 2 + 1]);
}
void upd(int id, int l, int r, int p, int v) {
if (l == r) {
seg[id].build(v);
return;
}
int m = (l + r) / 2;
if (m < p) {
upd(id * 2 + 1, m + 1, r, p, v);
} else {
upd(id * 2, l, m, p, v);
}
seg[id] = merge(seg[id * 2], seg[id * 2 + 1]);
}
node get(int id, int l, int r, int u, int v) {
if (l >= u && r <= v)
return seg[id];
int m = (l + r) / 2;
if (m >= v) {
return get(id * 2, l, m, u, v);
}
if (m < u) {
return get(id * 2 + 1, m + 1, r, u, v);
}
return merge(get(id * 2, l, m, u, v), get(id * 2 + 1, m + 1, r, u, v));
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, q;
cin >> n >> q;
for (int i = 1; i <= n; i++) {
cin >> a[i];
}
build(1, 1, n);
for (int i = 0; i < q; i++) {
int t, l, r;
cin >> t >> l >> r;
if (t == 1) {
upd(1, 1, n, l, r);
}
if (t == 2) {
cout << get(1, 1, n, l, r).cc << '\n';
}
}
return 0;
}
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