#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define f first
#define s second
ll M = 1e9 + 7, base = 1048576, duzo = 2000000000, dod[500005], mno[500005], pref[500005], nast[500005];
pair<ll, ll> tre[2100005];
pair<ll, ll> skok(ll a, ll b) {
pair<ll, ll> lwe = {1, 0}, rwe = {1, 0};
ll p = a + base - 1, d = b + base + 1;
while (p / 2 != d / 2) {
if (p % 2 == 0) {
lwe = {(lwe.f * tre[p + 1].f) % M, (lwe.s * tre[p + 1].f + tre[p + 1].s) % M};
}
if (d % 2 == 1) {
rwe = {(tre[d - 1].f * rwe.f) % M, (tre[d - 1].s * rwe.f + rwe.s) % M};
}
p /= 2; d /= 2;
}
return {(lwe.f * rwe.f) % M, (lwe.s * rwe.f + rwe.s) % M};
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
ll N, Q;
cin >> N >> Q;
vector<pair<ll, ll>> v(N);
for (ll i = 0; i < N; i++) {
cin >> v[i].f >> v[i].s;
dod[i] = v[i].f; mno[i] = v[i].s;
pref[i + 1] = pref[i] + dod[i];
if (mno[i] > 1) tre[i + base] = {mno[i] % M, 0};
else tre[i + base] = {1, dod[i] % M};
}
for (int i = N; i < base; i++) tre[i + base] = {1, 0};
for (int i = base - 1; i > 0; i--) {
tre[i] = {(tre[2 * i].f * tre[2 * i + 1].f) % M, (tre[2 * i].s * tre[2 * i + 1].f + tre[2 * i + 1].s) % M};
}
ll ost = N;
for (ll i = N - 1; i >= 0; i--) {
if (mno[i] > 1) ost = i;
nast[i] = ost;
}
while (Q--) {
ll akt, l, r;
cin >> akt >> l >> r;
ll poz = l;
while (poz < r && akt < duzo) {
ll cel = min(r, nast[poz]);
akt += pref[cel] - pref[poz];
if (cel < r) {
akt = max(akt + dod[cel], akt * mno[cel]);
poz = cel + 1;
continue;
}
poz = r;
}
if (poz < r) {
pair<ll, ll> res = skok(poz, r - 1);
akt %= M;
akt = (akt * res.f + res.s) % M;
}
cout << akt % M << "\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 | #include <bits/stdc++.h> using namespace std; #define ll long long #define f first #define s second ll M = 1e9 + 7, base = 1048576, duzo = 2000000000, dod[500005], mno[500005], pref[500005], nast[500005]; pair<ll, ll> tre[2100005]; pair<ll, ll> skok(ll a, ll b) { pair<ll, ll> lwe = {1, 0}, rwe = {1, 0}; ll p = a + base - 1, d = b + base + 1; while (p / 2 != d / 2) { if (p % 2 == 0) { lwe = {(lwe.f * tre[p + 1].f) % M, (lwe.s * tre[p + 1].f + tre[p + 1].s) % M}; } if (d % 2 == 1) { rwe = {(tre[d - 1].f * rwe.f) % M, (tre[d - 1].s * rwe.f + rwe.s) % M}; } p /= 2; d /= 2; } return {(lwe.f * rwe.f) % M, (lwe.s * rwe.f + rwe.s) % M}; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); ll N, Q; cin >> N >> Q; vector<pair<ll, ll>> v(N); for (ll i = 0; i < N; i++) { cin >> v[i].f >> v[i].s; dod[i] = v[i].f; mno[i] = v[i].s; pref[i + 1] = pref[i] + dod[i]; if (mno[i] > 1) tre[i + base] = {mno[i] % M, 0}; else tre[i + base] = {1, dod[i] % M}; } for (int i = N; i < base; i++) tre[i + base] = {1, 0}; for (int i = base - 1; i > 0; i--) { tre[i] = {(tre[2 * i].f * tre[2 * i + 1].f) % M, (tre[2 * i].s * tre[2 * i + 1].f + tre[2 * i + 1].s) % M}; } ll ost = N; for (ll i = N - 1; i >= 0; i--) { if (mno[i] > 1) ost = i; nast[i] = ost; } while (Q--) { ll akt, l, r; cin >> akt >> l >> r; ll poz = l; while (poz < r && akt < duzo) { ll cel = min(r, nast[poz]); akt += pref[cel] - pref[poz]; if (cel < r) { akt = max(akt + dod[cel], akt * mno[cel]); poz = cel + 1; continue; } poz = r; } if (poz < r) { pair<ll, ll> res = skok(poz, r - 1); akt %= M; akt = (akt * res.f + res.s) % M; } cout << akt % M << "\n"; } return 0; } |
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