This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int)x.size()
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt __builtin_popcount
#define pb push_back
#define popf pop_front
#define popb pop_back
#define ld long double
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// for random generations
// mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
mt19937 myrand(373);
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if(str == "input") {
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
} else {
// freopen("skis.in", "r", stdin);
// freopen("skis.out", "w", stdout);
}
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int N = 1e5 + 10;
int n, q, a[N];
struct Node {
vector<pair<int, long long>> L, R;
long long ans = 0;
void init(int curr) {
L.clear();
R.clear();
L.emplace_back(curr, 1);
R.emplace_back(curr, 1);
ans = (curr > 1);
}
};
Node empt;
struct segTree { // Range Queries
// 0 indexed
// [l: r + 1]
// for 1 index
// [l - 1: r]
vector<Node> mTree;
int size;
Node combine (Node a, Node b) {
if(a.L.empty()) {
return b;
}
if(b.L.empty()) {
return a;
}
Node c;
//
c.L = a.L;
int last = c.L.back().first;
for(int i = 0; i < sz(b.L); i++) {
int j = i + 1, g = __gcd(b.L[i].first, last);
int new_size = b.L[i].second;
while(j < sz(b.L) && __gcd(b.L[j].first, g) == g) {
new_size += b.L[j].second;
j++;
}
if(g == c.L.back().first) {
c.L.back().second += new_size;
} else {
c.L.emplace_back(g, new_size);
}
i = j - 1;
}
//
c.R = b.R;
last = c.R.back().first;
for(int i = 0; i < sz(a.R); i++) {
int j = i + 1, g = __gcd(a.R[i].first, last);
int new_size = a.R[i].second;
while(j < sz(a.R) && __gcd(a.R[j].first, g) == g) {
new_size += a.R[j].second;
j++;
}
if(g == c.R.back().first) {
c.R.back().second += new_size;
} else {
c.R.emplace_back(g, new_size);
}
i = j - 1;
}
//
c.ans = a.ans + b.ans;
for(int i = 0; i < sz(a.R); i++) {
int curr_gcd = a.R[i].first;
for(int j = 0; j < sz(b.L); j++) {
curr_gcd = __gcd(b.L[j].first, curr_gcd);
if(curr_gcd > 1) {
c.ans += a.R[i].second * b.L[j].second;
} else {
break;
}
}
}
return c;
}
void build(int x, int lx, int rx) {
if(rx - lx == 1) {
if(lx >= 1) {
mTree[x].init(a[lx]);
}
} else {
int mid = (lx + rx) / 2;
build(2 * x + 1, lx, mid);
build(2 * x + 2, mid, rx);
mTree[x] = combine(mTree[2 * x + 1], mTree[2 * x + 2]);
}
}
void init(long long n) {
size = 1;
while(size < n) {
size *= 2;
}
mTree.resize(2 * size - 1);
build(0, 0, size);
}
void upd(int u, long long v, int x, int lx, int rx) { // set value at pos u
if(rx - lx == 1) {
mTree[x].init(v);
return;
}
int m = (lx + rx) / 2;
if(u < m) {
upd(u, v, 2 * x + 1, lx, m);
} else {
upd(u, v, 2 * x + 2, m, rx);
}
mTree[x] = combine(mTree[2 * x + 1], mTree[2 * x + 2]);
}
void upd(int u, long long v) {
upd(u, v, 0, 0, size);
}
Node qry(int l, int r, int x, int lx, int rx) { // range queries
if(l >= rx || lx >= r) {
return empt;
}
if(lx >= l && r >= rx) {
return mTree[x];
}
int m = (rx + lx) / 2;
Node s1 = qry(l, r, 2 * x + 1, lx, m);
Node s2 = qry(l, r, 2 * x + 2, m, rx);
return combine(s1, s2);
}
Node qry(int l, int r) {
return qry(l, r, 0,0,size);
}
};
segTree seg;
void solve_() {
cin >> n >> q;
for(int i = 1; i <= n; i++) {
cin >> a[i];
// seg.upd(i, a[i]);
}
seg.init(n + 1);
while(q--) {
int type; cin >> type;
if(type == 1) {
int x, v; cin >> x >> v;
seg.upd(x, v);
} else {
int l, r; cin >> l >> r;
cout << seg.qry(l, r + 1).ans << '\n';
}
}
}
int main() {
setIO();
auto solve = [&](int test_case)-> void {
for(int i = 1; i <= test_case; i++) {
// cout << "Case #" << i << ": ";
solve_();
}
};
int test_cases = 1;
// cin >> test_cases;
solve(test_cases);
return 0;
}
Compilation message (stderr)
garaza.cpp: In function 'void setIO(std::string)':
garaza.cpp:69:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
69 | freopen("input.txt", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
garaza.cpp:70:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
70 | freopen("output.txt", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
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