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# include <bits/stdc++.h>
using namespace std;
using ll = long long;
using db = long double; // or double, if TL is tight
using str = string; // yay python!
// pairs
using pii = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;
#define mp make_pair
#define f first
#define s second
#define tcT template<class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT> using V = vector<T>;
tcT, size_t SZ> using AR = array<T,SZ>;
using vi = V<int>;
using vb = V<bool>;
using vl = V<ll>;
using vd = V<db>;
using vs = V<str>;
using vpi = V<pii>;
using vpl = V<pl>;
using vpd = V<pd>;
// vectors
// oops size(x), rbegin(x), rend(x) need C++17
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) x.rbegin(), x.rend()
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define pb push_back
#define eb emplace_back
#define ft front()
#define bk back()
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define rep(a) F0R(_,a)
#define each(a,x) for (auto& a: x)
const int MOD = 998244353;
const int MX = 2e5+5;
const ll BIG = 1e18; // not too close to LLONG_MAX
const db PI = acos((db)-1);
const int dx[4]{1,0,-1,0}, dy[4]{0,1,0,-1}; // for every grid problem!!
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template<class T> using pqg = priority_queue<T,vector<T>,greater<T>>;
struct DSU {
vi e; void init(int N) { e = vi(N,-1); }
int get(int x) { return e[x] < 0 ? x : e[x] = get(e[x]); }
bool sameSet(int a, int b) { return get(a) == get(b); }
int size(int x) { return -e[get(x)]; }
bool unite(int x, int y) { // union by size
x = get(x), y = get(y); if (x == y) return 0;
if (e[x] > e[y]) swap(x,y);
e[x] += e[y]; e[y] = x; return 1;
}
};
/*
inline namespace Helpers {
//////////// is_iterable
// https://stackoverflow.com/questions/13830158/check-if-a-variable-type-is-iterable
// this gets used only when we can call begin() and end() on that type
tcT, class = void> struct is_iterable : false_type {};
tcT> struct is_iterable<T, void_t<decltype(begin(declval<T>())),
decltype(end(declval<T>()))
>
> : true_type {};
tcT> constexpr bool is_iterable_v = is_iterable<T>::value;
//////////// is_readable
tcT, class = void> struct is_readable : false_type {};
tcT> struct is_readable<T,
typename std::enable_if_t<
is_same_v<decltype(cin >> declval<T&>()), istream&>
>
> : true_type {};
tcT> constexpr bool is_readable_v = is_readable<T>::value;
//////////// is_printable
// // https://nafe.es/posts/2020-02-29-is-printable/
tcT, class = void> struct is_printable : false_type {};
tcT> struct is_printable<T,
typename std::enable_if_t<
is_same_v<decltype(cout << declval<T>()), ostream&>
>
> : true_type {};
tcT> constexpr bool is_printable_v = is_printable<T>::value;
}*/
using ll = long long;
using db = long double; // or double, if TL is tight
using str = string; // yay python!
// pairs
using pii = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;
#define mp make_pair
#define f first
#define s second
#define tcT template<class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT> using V = vector<T>;
tcT, size_t SZ> using AR = array<T,SZ>;
using vi = V<int>;
using vb = V<bool>;
using vl = V<ll>;
using vd = V<db>;
using vs = V<str>;
using vpi = V<pii>;
using vpl = V<pl>;
using vpd = V<pd>;
// vectors
// oops size(x), rbegin(x), rend(x) need C++17
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) x.rbegin(), x.rend()
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define pb push_back
#define eb emplace_back
#define ft front()
#define bk back()
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define rep(a) F0R(_,a)
#define each(a,x) for (auto& a: x)
template<class T> using pqg = priority_queue<T,vector<T>,greater<T>>;
/*
inline namespace Helpers {
//////////// is_iterable
// https://stackoverflow.com/questions/13830158/check-if-a-variable-type-is-iterable
// this gets used only when we can call begin() and end() on that type
tcT, class = void> struct is_iterable : false_type {};
tcT> struct is_iterable<T, void_t<decltype(begin(declval<T>())),
decltype(end(declval<T>()))
>
> : true_type {};
tcT> constexpr bool is_iterable_v = is_iterable<T>::value;
//////////// is_readable
tcT, class = void> struct is_readable : false_type {};
tcT> struct is_readable<T,
typename std::enable_if_t<
is_same_v<decltype(cin >> declval<T&>()), istream&>
>
> : true_type {};
tcT> constexpr bool is_readable_v = is_readable<T>::value;
//////////// is_printable
// // https://nafe.es/posts/2020-02-29-is-printable/
tcT, class = void> struct is_printable : false_type {};
tcT> struct is_printable<T,
typename std::enable_if_t<
is_same_v<decltype(cout << declval<T>()), ostream&>
>
> : true_type {};
tcT> constexpr bool is_printable_v = is_printable<T>::value;
}*/
#define int long long
const int N = 3e5 + 5;
int tree[4 * N],a[N],lazy[4 * N],n,q,ty;
long long tree1[4 * N];
int gcd(int a, int b) {
if (a < b) swap(a,b);
while (b) {
a %= b;
swap(a, b);
}
return a;
}
void build(int node, int le, int ri) {
if (le == ri) {
tree[node] = a[le];
return ;
}
int mid = (le + ri) / 2;
build(2 * node,le,mid);
build(2 * node + 1, mid + 1, ri);
tree[node] = gcd(tree[2 * node], tree[2 * node + 1]);
}
void update(int node, int le, int ri, int idx, int val) {
if (le > idx || ri < idx) return ;
if (le == ri) {
tree[node] = val;
return ;
}
int mid = (le + ri) / 2;
update(2 * node,le,mid,idx,val);
update(2 * node + 1, mid + 1, ri, idx,val);
tree[node] = gcd(tree[2 * node], tree[2 * node + 1]);
}
int getgcd(int node, int le, int ri, int start, int end) {
if (le > end || ri < start) return 0;
if (le >= start && ri <= end) {
return tree[node];
}
int mid = (le + ri) / 2;
return gcd(getgcd(2 * node,le,mid,start,end), getgcd(2 * node + 1, mid + 1, ri, start,end));
}
void push(int node, int le, int ri) {
if (lazy[node] == -1) return ;
tree1[node] = (ri - le + 1LL) * lazy[node];
if (le != ri) {
lazy[2 * node] = lazy[node];
lazy[2 * node + 1] = lazy[node];
}
lazy[node] = -1;
}
void update1(int node, int le, int ri, int start, int end, int val) {
push(node,le,ri);
if (le > end || ri < start) return ;
if (le >= start && ri <= end) {
lazy[node] = val;
push(node,le,ri);
return ;
}
int mid = (le + ri) / 2;
update1(2 * node, le, mid,start,end,val);
update1(2 * node + 1, mid + 1, ri, start,end,val);
tree1[node] = tree1[2 * node] + tree1[2 * node + 1];
}
long long getans1(int node, int le, int ri, int start, int end) {
if (start > end) return 0;
push(node,le,ri);
if (le > end || ri < start) return 0;
if (le >= start && ri <= end) {
return tree1[node];
}
int mid = (le + ri) / 2;
return getans1(2 * node, le,mid,start,end) + getans1(2 * node + 1, mid + 1, ri, start,end);
}
void go(int idx) {
int le = idx;
int ri = n;
int ans = idx - 1;
while (le <= ri) {
int mid = (le + ri) / 2;
if (getgcd(1,1,n,idx,mid) > 1) {
ans = mid;
le = mid + 1;
} else {
ri = mid - 1;
}
}
update1(1,1,n,idx,idx,ans);
}
int fnd(int idx) {
int le = idx;
int ri = n, ans = idx - 1;
while (le <= ri) {
int mid = (le + ri) / 2;
if(getgcd(1,1,n,idx,mid) > 1) {
le = mid + 1;
ans = mid;
} else {
ri = mid - 1;
}
}//if (idx == 6) cout<<getgcd(1,1,n,i<<"\n";
return ans;
}
void update(int idx, int val) {
update(1,1,n,idx,val);
int cur = idx;
while (cur >= 1) {
int ri = cur;
int gc = getgcd(1,1,n,ri,idx);
int l = 1;
int r = ri, ps = ri;
while (l <= r) {
int md = (l + r) / 2;
if (getgcd(1,1,n,md,idx) == gc) {
r = md - 1;
ps = md;
} else l = md + 1;
}
int le = ps;
// TO speed up !!
if (gc == 1) {
for (int i = 1; i <= ri; i++) {
update1(1,1,n,i,i,fnd(i));
}
break;
}
update1(1,1,n,le,ri,fnd(le));
cur = ps - 1;
}
}
long long get(long long le, long long ri) {
// sum of rights
int l = le;
int r = ri;
long long ans = le - 1;
while (l <= r) {
int md = (l + r) / 2;
if (getans1(1,1,n,md,md) <= ri) {
l = md + 1;
ans = md;
} else r = md - 1;
}
return ri*(ri - ans)+getans1(1,1,n,le,ans) - ri*(ri + 1LL) / 2LL + le*(le - 1LL) / 2LL + (ri - le + 1LL);
}
main() {
cin>>n>>q;
for (int i = 1; i <= n; i++) {
cin>>a[i];
}
for (int i = 1; i < 4 * N; i++) lazy[i] = -1;
build(1,1,n);
for (int i = n; i >= 1; i--) {
go(i);
}
for (int i = 1; i <= q; i++) {
cin>>ty;
if (ty == 1) {
int idx, val;
cin>>idx>>val;
update(idx,val);
continue;
}
if (ty == 2) {
int le, ri;
cin>>le>>ri;
cout<<get(le,ri)<<"\n";
}
}
}
컴파일 시 표준 에러 (stderr) 메시지
garaza.cpp:325:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
325 | main() {
| ^~~~
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