#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define F first
#define S second
#define endl '\n'
#define Mp make_pair
#define pb push_back
#define pf push_front
#define size(x) (ll)x.size()
#define all(x) x.begin(), x.end()
#define fuck(x) cout<<"("<<#x<<" : "<<x<<")\n"
const int N = 5e5 + 100, lg = 18;
const ll Mod = 1e9 + 7;
const ll inf = 1e18 + 10;
ll MOD(ll a, ll mod=Mod) {
a%=mod; (a<0)&&(a+=mod); return a;
}
ll poww(ll a, ll b, ll mod=Mod) {
ll res = 1;
while(b > 0) {
if(b%2 == 1) res = MOD(res * a, mod);
b /= 2;
a = MOD(a * a, mod);
}
return res;
}
ll n, q, d[N], t[N], L[N], R[N];
pll dp[2][N];
void work() {
cin>>n>>q;
for(int i=1; i<=n; i++) cin>>d[i];
for(int i=1; i<=q; i++) cin>>t[i]>>L[i]>>R[i];
dp[0][0] = dp[1][0] = {1, 1};
for(int i=1; i<=n; i++) {
dp[0][i].F = dp[0][i-1].F + (dp[0][i-1].S > d[i] ? 0 :
((d[i] - dp[0][i-1].S + dp[1][i-1].S - 1) / dp[1][i-1].S)*dp[1][i-1].F);
dp[0][i].S = dp[0][i-1].S +
((d[i] - dp[0][i-1].S + dp[1][i-1].S - 1) / dp[1][i-1].S) * dp[1][i-1].S;
dp[1][i].F = (dp[1][i-1].F) + (dp[1][i-1].S > d[i] ? 0 :
((d[i] - dp[1][i-1].S + dp[1][i-1].S - 1) / dp[1][i-1].S)*dp[1][i-1].F);
dp[1][i].S = dp[1][i-1].S +
(((d[i] - dp[1][i-1].S + dp[1][i-1].S - 1) / dp[1][i-1].S)*dp[1][i-1].S);
if(max({dp[1][i].F, dp[1][i].S, dp[0][i].F, dp[0][i].S}) > 1e9) {
n = i-1;
break;
}
}
for(int i=1; i<=q; i++) {
int l = -1, r = n + 1;
while (r - l > 1) {
int mid = (l + r) / 2;
if((t[i] >= dp[0][mid].F ? dp[0][mid].S : 0ll) +
max(0ll, (t[i] - dp[0][mid].F) / dp[1][mid].F) * dp[1][mid].S - (ll)mid <= R[i]) {
r = mid;
} else {
l = mid;
}
}
int res1 = r;
l = -1, r = n + 1;
while (r - l > 1) {
int mid = (l + r) / 2;
if((t[i] >= dp[0][mid].F ? dp[0][mid].S : 0ll) +
max(0ll, (t[i] - dp[0][mid].F) / dp[1][mid].F) * dp[1][mid].S - (ll)mid >= L[i]) {
l = mid;
} else {
r = mid;
}
}
r = res1;
cout<<max(0ll, (ll)l - r + 1)<<endl;
}
}
void reset_work() {
return;
}
int main() {
ios_base::sync_with_stdio(false), cin.tie(0);
// cin>>t;
int tc = 1;
while(tc --) {
work();
reset_work();
}
return 0;
}
