#include <iostream>
#include <vector>
using namespace std;
typedef long long ll;
const int MOD = 1e9 + 7;
struct Node {
ll mul;
ll add;
};
Node merge(Node left, Node right) {
Node res;
res.mul = (left.mul * right.mul) % MOD;
res.add = (right.mul * left.add + right.add) % MOD;
return res;
}
int n, q;
ll A[500005], B[500005];
Node tree[2000005];
void build(int v, int tl, int tr) {
if (tl == tr) {
if (B[tl] > 1) {
tree[v] = {B[tl], 0};
} else {
tree[v] = {1, A[tl]};
}
} else {
int tm = (tl + tr) / 2;
build(2 * v, tl, tm);
build(2 * v + 1, tm + 1, tr);
tree[v] = merge(tree[2 * v], tree[2 * v + 1]);
}
}
Node query(int v, int tl, int tr, int l, int r) {
if (l == tl && r == tr) return tree[v];
int tm = (tl + tr) / 2;
if (r <= tm) return query(2 * v, tl, tm, l, r);
if (l > tm) return query(2 * v + 1, tm + 1, tr, l, r);
return merge(query(2 * v, tl, tm, l, tm), query(2 * v + 1, tm + 1, tr, tm + 1, r));
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
if (!(cin >> n >> q)) return 0;
for (int i = 1; i <= n; i++) cin >> A[i] >> B[i];
build(1, 1, n);
while (q--) {
ll x;
int l, r;
cin >> x >> l >> r;
l++; // runda l+1 do r
int curr = l;
while (curr <= r && x < MOD) {
if (x * B[curr] > x + A[curr]) x *= B[curr];
else x += A[curr];
curr++;
if (x >= MOD) break;
}
if (curr <= r) {
Node res = query(1, 1, n, curr, r);
x = (res.mul * (x % MOD) + res.add) % MOD;
}
cout << x % MOD << "\n";
}
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 | #include <iostream> #include <vector> using namespace std; typedef long long ll; const int MOD = 1e9 + 7; struct Node { ll mul; ll add; }; Node merge(Node left, Node right) { Node res; res.mul = (left.mul * right.mul) % MOD; res.add = (right.mul * left.add + right.add) % MOD; return res; } int n, q; ll A[500005], B[500005]; Node tree[2000005]; void build(int v, int tl, int tr) { if (tl == tr) { if (B[tl] > 1) { tree[v] = {B[tl], 0}; } else { tree[v] = {1, A[tl]}; } } else { int tm = (tl + tr) / 2; build(2 * v, tl, tm); build(2 * v + 1, tm + 1, tr); tree[v] = merge(tree[2 * v], tree[2 * v + 1]); } } Node query(int v, int tl, int tr, int l, int r) { if (l == tl && r == tr) return tree[v]; int tm = (tl + tr) / 2; if (r <= tm) return query(2 * v, tl, tm, l, r); if (l > tm) return query(2 * v + 1, tm + 1, tr, l, r); return merge(query(2 * v, tl, tm, l, tm), query(2 * v + 1, tm + 1, tr, tm + 1, r)); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); if (!(cin >> n >> q)) return 0; for (int i = 1; i <= n; i++) cin >> A[i] >> B[i]; build(1, 1, n); while (q--) { ll x; int l, r; cin >> x >> l >> r; l++; // runda l+1 do r int curr = l; while (curr <= r && x < MOD) { if (x * B[curr] > x + A[curr]) x *= B[curr]; else x += A[curr]; curr++; if (x >= MOD) break; } if (curr <= r) { Node res = query(1, 1, n, curr, r); x = (res.mul * (x % MOD) + res.add) % MOD; } cout << x % MOD << "\n"; } return 0; } |
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