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;
typedef unsigned long long ull;
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
double cur = rngesus(0, MASK(60) - 1);
cur /= MASK(60) - 1;
return l + cur * (r - l);
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
int count_intersection(pair<int, int> a, pair<int, int> b){
pair<int, int> c = {max(a.first, b.first), min(a.second, b.second)};
return max(0, c.second - c.first + 1);
}
int main(void){
ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
clock_t start = clock();
int n, q; cin >> n >> q;
vector<ll> d(n+1);
for(int i = 1; i<=n; ++i) cin >> d[i];
vector<ll> jmp_sz(n+1);
jmp_sz[0] = 1;
for(int i = 1; i<=n; ++i){
ll cur = d[i] - d[i] % jmp_sz[i-1];
if (cur < d[i]) cur += jmp_sz[i-1];
jmp_sz[i] = cur;
}
map<int, pair<int, int>> mp;
for(int i = 0; i<=n; ++i){
if (!mp.count(jmp_sz[i])) mp[jmp_sz[i]] = {-i, -i};
else{
mp[jmp_sz[i]].first = -i;
}
}
while(q--){
ll t, l, r; cin >> t >> l >> r;
int ans = 0;
for(auto i: mp){
int step = i.first;
pair<int, int> range = i.second;
int cu = t - t % step;
range.first += cu; range.second += cu;
ans += count_intersection(range, {l, r});
}
cout << ans << "\n";
}
cerr << "Time elapsed: " << clock() - start << " ms\n";
return 0;
}
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