This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// sequencias
// obi2020 - fase 3
#include <iostream>
#include <vector>
using namespace std;
#define x first
#define y second
typedef pair<int, int> pii;
typedef long long ll;
const int MAXN = 100100;
int n, m, sequencia[MAXN];
int mdc(int a, int b) {
while (b) {
a %= b;
swap(a, b);
}
return a;
}
struct No {
vector<pii> l, r;
ll cnt;
// first: comprimento
// second: mdc
No() : cnt(0) {
}
No(int val) {
l = r = {{0, 0}, {1, val}};
cnt = (val != 1) ? 1 : 0;
}
static void expande(vector<pii> &ret, const vector<pii> &add) {
int sz_init = ret.back().x;
for (auto it : add) {
int sz = sz_init + it.x;
if (it.y % ret.back().y == 0) ret.back().x = sz;
else ret.push_back({sz, mdc(it.y, ret.back().y)});
}
}
friend No operator+(const No &a, const No &b) {
if (a.l.empty()) return b;
if (b.l.empty()) return a;
No ret;
ret.l = a.l;
ret.r = b.r;
expande(ret.l, b.l);
expande(ret.r, a.r);
ret.cnt = a.cnt + b.cnt;
int rt = (int)b.l.size() - 1;
for (int lt = 1; lt < (int)a.r.size(); ++lt) {
while (rt > 0 && mdc(a.r[lt].y, b.l[rt].y) == 1)
--rt;
ret.cnt += (ll)(a.r[lt].x - a.r[lt - 1].x) * b.l[rt].x;
}
return ret;
}
};
struct Seg {
static const int off = 1 << 17;
No data[2 * off];
int from, to;
void atualiza(int pos, int val) {
pos += off;
data[pos] = No(val);
for (pos /= 2; pos > 0; pos /= 2)
data[pos] = data[2 * pos] + data[2 * pos + 1];
}
No consulta(int nd, int lo, int hi) {
if (lo >= to || hi <= from) return No();
if (lo >= from && hi <= to) return data[nd];
int mid = (lo + hi) / 2;
return consulta(2 * nd, lo, mid) + consulta(2 * nd + 1, mid, hi);
}
ll consulta(int l, int r) {
from = l, to = r;
return consulta(1, 0, off).cnt;
}
void constroi() {
for (int i = 0; i < n; ++i)
data[i + off] = No(sequencia[i]);
for (int i = off - 1; i > 0; --i)
data[i] = data[2 * i] + data[2 * i + 1];
}
} S;
int main() {
cin >> n >> m;
for (int i = 0; i < n; ++i)
cin >> sequencia[i];
S.constroi();
for (int i = 0; i < m; ++i) {
int t, a, b;
cin >> t >> a >> b;
if (t == 1)
S.atualiza(a - 1, b);
else
cout << S.consulta(a-1, b) << endl;
}
return 0;
}
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