#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
#define vc vector
#define st first
#define nd second
#define all(a) a.begin(), a.end()
#define sz(a) (ll)a.size()
#define pub push_back
#define pob pop_back
const ll MOD = 1e9 + 7;
ll md(ll x) {
x %= MOD;
if (x < 0)
x += MOD;
return x;
}
struct Tree {
ll base;
vc<ll> ta, tb;
Tree() = default;
Tree(vc<ll> &a, vc<ll> &b) {
ll n = sz(a);
base = 1;
while (base < n)
base *= 2;
ta.assign(2 * base, 1);
tb.assign(2 * base, 0);
for (ll i = 0; i < n; i++)
ta[i + base] = a[i];
for (ll i = 0; i < n; i++)
tb[i + base] = b[i];
for (ll i = base - 1; i >= 1; i--) {
ll li = 2 * i;
ll ri = li + 1;
ta[i] = md(ta[li] * ta[ri]);
tb[i] = md(tb[li] * ta[ri] + tb[ri]);
}
}
pll que(ll l, ll r) {
l += base - 1;
r += base + 1;
pll ret = {1, 0};
vc<pll> toa;
while (l + 1 < r) {
if (l % 2 == 0) {
ret.nd = md(ret.nd * ta[l + 1] + tb[l + 1]);
ret.st = md(ret.st * ta[l + 1]);
}
if (r % 2 == 1)
toa.pub({ta[r - 1], tb[r - 1]});
l /= 2;
r /= 2;
}
reverse(all(toa));
for (auto &[a, b] : toa) {
ret.nd = md(ret.nd * a + b);
ret.st = md(ret.st * a);
}
return ret;
}
};
ll n, q;
vc<ll> a, b, pa, pb, psa;
Tree tree;
void input() {
cin >> n >> q;
a.resize(n);
b.resize(n);
for (ll i = 0; i < n; i++)
cin >> a[i] >> b[i];
}
ll sum_a(ll l, ll r) {
return psa[r + 1] - psa[l];
}
void prepro() {
pa.resize(n + 1);
pb.resize(n + 1);
pa[n] = pb[n] = n;
for (ll i = n - 1; i >= 0; i--) {
if (a[i] > 0)
pa[i] = i;
else
pa[i] = i + 1;
if (b[i] > 1)
pb[i] = i;
else
pb[i] = i + 1;
}
psa.assign(n + 1, 0);
for (ll i = 1; i <= n; i++)
psa[i] = psa[i - 1] + a[i - 1];
vc<ll> c(n, 1), d(n, 0);
for (ll i = 0; i < n; i++) {
if (b[i] != 1)
c[i] = b[i];
else
d[i] = a[i];
}
tree = Tree(c, d);
}
ll query(ll l, ll r, ll x) {
if (x == 0) {
l = pa[l];
if (l > r)
return x;
}
while (l <= r) {
if (x >= MOD) {
x = md(x);
pll p = tree.que(l, r);
x = md(p.st * x + p.nd);
return x;
}
ll i = pb[l];
i = min(i, r + 1);
x += sum_a(l, i - 1);
if (i > r)
return md(x);
x = max(x + a[i], x * b[i]);
l = i + 1;
}
return md(x);
}
void program() {
input();
prepro();
while (q--) {
ll x, l, r;
cin >> x >> l >> r;
r--;
cout << query(l, r, x) << "\n";
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
program();
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 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 | #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<ll, ll> pll; #define vc vector #define st first #define nd second #define all(a) a.begin(), a.end() #define sz(a) (ll)a.size() #define pub push_back #define pob pop_back const ll MOD = 1e9 + 7; ll md(ll x) { x %= MOD; if (x < 0) x += MOD; return x; } struct Tree { ll base; vc<ll> ta, tb; Tree() = default; Tree(vc<ll> &a, vc<ll> &b) { ll n = sz(a); base = 1; while (base < n) base *= 2; ta.assign(2 * base, 1); tb.assign(2 * base, 0); for (ll i = 0; i < n; i++) ta[i + base] = a[i]; for (ll i = 0; i < n; i++) tb[i + base] = b[i]; for (ll i = base - 1; i >= 1; i--) { ll li = 2 * i; ll ri = li + 1; ta[i] = md(ta[li] * ta[ri]); tb[i] = md(tb[li] * ta[ri] + tb[ri]); } } pll que(ll l, ll r) { l += base - 1; r += base + 1; pll ret = {1, 0}; vc<pll> toa; while (l + 1 < r) { if (l % 2 == 0) { ret.nd = md(ret.nd * ta[l + 1] + tb[l + 1]); ret.st = md(ret.st * ta[l + 1]); } if (r % 2 == 1) toa.pub({ta[r - 1], tb[r - 1]}); l /= 2; r /= 2; } reverse(all(toa)); for (auto &[a, b] : toa) { ret.nd = md(ret.nd * a + b); ret.st = md(ret.st * a); } return ret; } }; ll n, q; vc<ll> a, b, pa, pb, psa; Tree tree; void input() { cin >> n >> q; a.resize(n); b.resize(n); for (ll i = 0; i < n; i++) cin >> a[i] >> b[i]; } ll sum_a(ll l, ll r) { return psa[r + 1] - psa[l]; } void prepro() { pa.resize(n + 1); pb.resize(n + 1); pa[n] = pb[n] = n; for (ll i = n - 1; i >= 0; i--) { if (a[i] > 0) pa[i] = i; else pa[i] = i + 1; if (b[i] > 1) pb[i] = i; else pb[i] = i + 1; } psa.assign(n + 1, 0); for (ll i = 1; i <= n; i++) psa[i] = psa[i - 1] + a[i - 1]; vc<ll> c(n, 1), d(n, 0); for (ll i = 0; i < n; i++) { if (b[i] != 1) c[i] = b[i]; else d[i] = a[i]; } tree = Tree(c, d); } ll query(ll l, ll r, ll x) { if (x == 0) { l = pa[l]; if (l > r) return x; } while (l <= r) { if (x >= MOD) { x = md(x); pll p = tree.que(l, r); x = md(p.st * x + p.nd); return x; } ll i = pb[l]; i = min(i, r + 1); x += sum_a(l, i - 1); if (i > r) return md(x); x = max(x + a[i], x * b[i]); l = i + 1; } return md(x); } void program() { input(); prepro(); while (q--) { ll x, l, r; cin >> x >> l >> r; r--; cout << query(l, r, x) << "\n"; } } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); program(); return 0; } |
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