#include <bits/stdc++.h>
#define int long long
const int MAX = 1 << 19;
const int mod = 1e9 + 7;
int a[MAX], b[MAX];
int pref[MAX];
int pos[MAX];
int sum(int l, int r)
{
return pref[r] - pref[l - 1];
}
struct LinearOp
{
int a, b;
static LinearOp identity() { return {1, 0}; }
static LinearOp compose(const LinearOp &first, const LinearOp &second)
{
return {(second.a * first.a) % mod, (second.a * first.b + second.b) % mod};
}
};
class SegmentTree
{
int n;
std::vector<LinearOp> tree;
public:
SegmentTree(int size) : n(size), tree(2 * size, LinearOp::identity()) {}
void update(int i, LinearOp op)
{
i += n - 1;
tree[i] = op;
for (; i > 1; i >>= 1)
{
if (i & 1)
{
tree[i >> 1] = LinearOp::compose(tree[i ^ 1], tree[i]);
}
else
{
tree[i >> 1] = LinearOp::compose(tree[i], tree[i ^ 1]);
}
}
}
int query(int l, int r, int x)
{
LinearOp resL = LinearOp::identity();
LinearOp resR = LinearOp::identity();
for (l += n - 1, r += n; l < r; l >>= 1, r >>= 1)
{
if (l & 1)
resL = LinearOp::compose(resL, tree[l++]);
if (r & 1)
resR = LinearOp::compose(tree[--r], resR);
}
LinearOp finalOp = LinearOp::compose(resL, resR);
return (finalOp.a * (x % mod) + finalOp.b) % mod;
}
};
void solve()
{
int n, q;
std::cin >> n >> q;
for (int i = 1; i <= n; i++)
{
std::cin >> a[i];
std::cin >> b[i];
pref[i] = pref[i - 1] + a[i];
}
int last = n + 1;
for (int i = n; i >= 1; i--)
{
if (b[i] != 1)
last = i;
pos[i] = last;
}
SegmentTree s(n);
for (int i = 1; i <= n; i++)
{
if (b[i] == 1)
{
s.update(i, {1LL, a[i]});
}
else
{
s.update(i, {b[i], 0LL});
}
}
// return;
for (int i = 1; i <= q; i++)
{
int x, l, r;
std::cin >> x >> l >> r;
l++;
while (true)
{
if (x > mod || l > r)
break;
int first_good = pos[l];
if (first_good == l)
{
x = std::max(x + a[l], x * b[l]);
l++;
continue;
}
if (first_good > r)
{
x += sum(l, r);
l = first_good;
break;
}
else
{
x += sum(l, first_good - 1);
}
l = first_good;
}
x %= mod;
if (l > r)
{
// x %= mod;
std::cout << x << "\n";
continue;
}
else
{
// std::cout << "-1\n";
std::cout << s.query(l, r, x) << "\n";
}
}
}
int32_t main()
{
std::ios_base::sync_with_stdio(0);
std::cin.tie(0);
std::cout.tie(0);
int testcases = 1;
// std::cin >> testcases;
while (testcases--)
{
solve();
}
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 | #include <bits/stdc++.h> #define int long long const int MAX = 1 << 19; const int mod = 1e9 + 7; int a[MAX], b[MAX]; int pref[MAX]; int pos[MAX]; int sum(int l, int r) { return pref[r] - pref[l - 1]; } struct LinearOp { int a, b; static LinearOp identity() { return {1, 0}; } static LinearOp compose(const LinearOp &first, const LinearOp &second) { return {(second.a * first.a) % mod, (second.a * first.b + second.b) % mod}; } }; class SegmentTree { int n; std::vector<LinearOp> tree; public: SegmentTree(int size) : n(size), tree(2 * size, LinearOp::identity()) {} void update(int i, LinearOp op) { i += n - 1; tree[i] = op; for (; i > 1; i >>= 1) { if (i & 1) { tree[i >> 1] = LinearOp::compose(tree[i ^ 1], tree[i]); } else { tree[i >> 1] = LinearOp::compose(tree[i], tree[i ^ 1]); } } } int query(int l, int r, int x) { LinearOp resL = LinearOp::identity(); LinearOp resR = LinearOp::identity(); for (l += n - 1, r += n; l < r; l >>= 1, r >>= 1) { if (l & 1) resL = LinearOp::compose(resL, tree[l++]); if (r & 1) resR = LinearOp::compose(tree[--r], resR); } LinearOp finalOp = LinearOp::compose(resL, resR); return (finalOp.a * (x % mod) + finalOp.b) % mod; } }; void solve() { int n, q; std::cin >> n >> q; for (int i = 1; i <= n; i++) { std::cin >> a[i]; std::cin >> b[i]; pref[i] = pref[i - 1] + a[i]; } int last = n + 1; for (int i = n; i >= 1; i--) { if (b[i] != 1) last = i; pos[i] = last; } SegmentTree s(n); for (int i = 1; i <= n; i++) { if (b[i] == 1) { s.update(i, {1LL, a[i]}); } else { s.update(i, {b[i], 0LL}); } } // return; for (int i = 1; i <= q; i++) { int x, l, r; std::cin >> x >> l >> r; l++; while (true) { if (x > mod || l > r) break; int first_good = pos[l]; if (first_good == l) { x = std::max(x + a[l], x * b[l]); l++; continue; } if (first_good > r) { x += sum(l, r); l = first_good; break; } else { x += sum(l, first_good - 1); } l = first_good; } x %= mod; if (l > r) { // x %= mod; std::cout << x << "\n"; continue; } else { // std::cout << "-1\n"; std::cout << s.query(l, r, x) << "\n"; } } } int32_t main() { std::ios_base::sync_with_stdio(0); std::cin.tie(0); std::cout.tie(0); int testcases = 1; // std::cin >> testcases; while (testcases--) { solve(); } return 0; } |
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