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>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
template<class T, int SZ> struct Seg {
T seg[2*SZ], MN = 0;
Seg() {
memset(seg,0,sizeof seg);
}
T comb(T a, T b) { return __gcd(a,b); } // easily change this to min or max
void upd(int p, T value) { // set value at position p
for (seg[p += SZ] = value; p > 1; p >>= 1)
seg[p>>1] = comb(seg[(p|1)^1],seg[p|1]); // non-commutative operations
}
void build() {
F0Rd(i,SZ) seg[i] = comb(seg[2*i],seg[2*i+1]);
}
T query(int l, int r) { // sum on interval [l, r]
T res1 = MN, res2 = MN; r++;
for (l += SZ, r += SZ; l < r; l >>= 1, r >>= 1) {
if (l&1) res1 = comb(res1,seg[l++]);
if (r&1) res2 = comb(seg[--r],res2);
}
return comb(res1,res2);
}
};
Seg<int,1<<17> OR;
template<class T, int SZ> struct LazySegTree {
T sum[2*SZ], lazy[2*SZ]; // set SZ to a power of 2
LazySegTree() {
memset (sum,0,sizeof sum);
F0R(i,2*SZ) lazy[i] = -1;
}
void push(int ind, int L, int R) {
if (lazy[ind] == -1) return;
sum[ind] = (R-L+1)*lazy[ind];
if (L != R) lazy[2*ind] = lazy[ind], lazy[2*ind+1] = lazy[ind];
lazy[ind] = -1;
}
void pull(int ind) {
sum[ind] = sum[2*ind]+sum[2*ind+1];
}
void build() {
F0Rd(i,SZ) pull(i);
}
T qsum(int lo, int hi, int ind = 1, int L = 0, int R = SZ-1) {
push(ind,L,R);
if (lo > R || L > hi) return 0;
if (lo <= L && R <= hi) return sum[ind];
int M = (L+R)/2;
return qsum(lo,hi,2*ind,L,M) + qsum(lo,hi,2*ind+1,M+1,R);
}
void upd(int lo, int hi, ll inc, int ind = 1, int L = 0, int R = SZ-1) {
push(ind,L,R);
if (hi < L || R < lo) return;
if (lo <= L && R <= hi) {
lazy[ind] = inc;
push(ind,L,R);
return;
}
int M = (L+R)/2;
upd(lo,hi,inc,2*ind,L,M); upd(lo,hi,inc,2*ind+1,M+1,R);
pull(ind);
}
};
LazySegTree<ll,1<<17> FST;
unordered_map<int,int> tmp;
int N,M,X;
int recalc(int lo, int x) {
if (tmp.count(x)) return tmp[x];
int L = lo, R = N;
while (L < R) {
int M = (L+R)/2;
if (OR.query(lo,M) == 1) R = M;
else L = M+1;
}
return tmp[x] = L;
}
void divi(int lo, int hi, int ind, int val, int x = -MOD, int y = -MOD) {
if (lo > hi) return;
if (x == -MOD) x = OR.query(lo,ind);
if (y == -MOD) y = OR.query(hi,ind);
if (x == y) {
FST.upd(lo,hi,recalc(lo,x));
return;
}
int mid = (lo+hi)/2;
divi(lo,mid,ind,val,x,-MOD);
divi(mid+1,hi,ind,val,-MOD,y);
}
int firstAtLeast(int x) { // first one such that >= x
int L = 0, R = N;
while (L < R) {
int M = (L+R)/2;
if (FST.qsum(M,M) >= x) R = M;
else L = M+1;
}
return L;
}
void upd (int ind, int val) {
OR.upd(ind,val);
tmp.clear();
divi(firstAtLeast(ind),ind,ind,val);
}
ll query(int l, int r) {
int R = firstAtLeast(r+1)-1;
assert(R <= r);
if (R < l) return (ll)(r-l+2)*(r-l+1)/2;
int L = l;
return (ll)(r-l+2)*(r-l+1)/2-((ll)(r+1)*(R-L+1)-FST.qsum(L,R));
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N >> M;
F0R(i,N) {
int a; cin >> a;
OR.upd(i,a);
}
F0Rd(i,N) {
tmp.clear();
FST.upd(i,i,recalc(i,0));
}
F0R(i,M) {
int a,b,c; cin >> a >> b >> c;
if (a == 1) upd(b-1,c);
else cout << query(b-1,c-1) << "\n";
}
}
// read the question correctly (is y a vowel? what are the exact constraints?)
// look out for SPECIAL CASES (n=1?) and overflow (ll vs int?) ARRAY OUT OF BOUNDSS
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