#include <bits/stdc++.h>
#define sz(v) ((int)(v).size())
#define all(v) (v).begin(), (v).end()
#define cr(v, n) (v).clear(), (v).resize(n);
using namespace std;
using lint = long long;
using pi = array<lint, 2>;
const lint oo = 1e18;
namespace atcoder {
// @return same with std::bit::bit_ceil
unsigned int bit_ceil(unsigned int n) {
unsigned int x = 1;
while (x < (unsigned int)(n))
x *= 2;
return x;
}
// @param n `1 <= n`
// @return same with std::bit::countr_zero
int countr_zero(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
// @param n `1 <= n`
// @return same with std::bit::countr_zero
constexpr int countr_zero_constexpr(unsigned int n) {
int x = 0;
while (!(n & (1 << x)))
x++;
return x;
}
template <class S, auto op, auto e, class F, auto mapping, auto composition, auto id> struct lazy_segtree {
static_assert(std::is_convertible_v<decltype(op), std::function<S(S, S)>>, "op must work as S(S, S)");
static_assert(std::is_convertible_v<decltype(e), std::function<S()>>, "e must work as S()");
static_assert(std::is_convertible_v<decltype(mapping), std::function<S(F, S)>>, "mapping must work as S(F, S)");
static_assert(std::is_convertible_v<decltype(composition), std::function<F(F, F)>>,
"composition must work as F(F, F)");
static_assert(std::is_convertible_v<decltype(id), std::function<F()>>, "id must work as F()");
public:
lazy_segtree() : lazy_segtree(0) {}
explicit lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
explicit lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
size = (int)bit_ceil((unsigned int)(_n));
log = countr_zero((unsigned int)size);
d = std::vector<S>(2 * size, e());
lz = std::vector<F>(size, id());
for (int i = 0; i < _n; i++)
d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = x;
for (int i = 1; i <= log; i++)
update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
return d[p];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return e();
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
S sml = e(), smr = e();
while (l < r) {
if (l & 1)
sml = op(sml, d[l++]);
if (r & 1)
smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
void apply(int p, F f) {
assert(0 <= p && p < _n);
p += size;
for (int i = log; i >= 1; i--)
push(p >> i);
d[p] = mapping(f, d[p]);
for (int i = 1; i <= log; i++)
update(p >> i);
}
void apply(int l, int r, F f) {
assert(0 <= l && l <= r && r <= _n);
if (l == r)
return;
l += size;
r += size;
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l)
push(l >> i);
if (((r >> i) << i) != r)
push((r - 1) >> i);
}
{
int l2 = l, r2 = r;
while (l < r) {
if (l & 1)
all_apply(l++, f);
if (r & 1)
all_apply(--r, f);
l >>= 1;
r >>= 1;
}
l = l2;
r = r2;
}
for (int i = 1; i <= log; i++) {
if (((l >> i) << i) != l)
update(l >> i);
if (((r >> i) << i) != r)
update((r - 1) >> i);
}
}
template <bool (*g)(S)> int max_right(int l) {
return max_right(l, [](S x) { return g(x); });
}
template <class G> int max_right(int l, G g) {
assert(0 <= l && l <= _n);
assert(g(e()));
if (l == _n)
return _n;
l += size;
for (int i = log; i >= 1; i--)
push(l >> i);
S sm = e();
do {
while (l % 2 == 0)
l >>= 1;
if (!g(op(sm, d[l]))) {
while (l < size) {
push(l);
l = (2 * l);
if (g(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*g)(S)> int min_left(int r) {
return min_left(r, [](S x) { return g(x); });
}
template <class G> int min_left(int r, G g) {
assert(0 <= r && r <= _n);
assert(g(e()));
if (r == 0)
return 0;
r += size;
for (int i = log; i >= 1; i--)
push((r - 1) >> i);
S sm = e();
do {
r--;
while (r > 1 && (r % 2))
r >>= 1;
if (!g(op(d[r], sm))) {
while (r < size) {
push(r);
r = (2 * r + 1);
if (g(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
std::vector<F> lz;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
void all_apply(int k, F f) {
d[k] = mapping(f, d[k]);
if (k < size)
lz[k] = composition(f, lz[k]);
}
void push(int k) {
all_apply(2 * k, lz[k]);
all_apply(2 * k + 1, lz[k]);
lz[k] = id();
}
};
} // namespace atcoder
const int mod = 1e9 + 7;
struct mint {
int val;
mint() { val = 0; }
mint(const lint &v) {
val = (-mod <= v && v < mod) ? v : v % mod;
if (val < 0)
val += mod;
}
friend ostream &operator<<(ostream &os, const mint &a) { return os << a.val; }
friend bool operator==(const mint &a, const mint &b) { return a.val == b.val; }
friend bool operator!=(const mint &a, const mint &b) { return !(a == b); }
friend bool operator<(const mint &a, const mint &b) { return a.val < b.val; }
mint operator-() const { return mint(-val); }
mint &operator+=(const mint &m) {
if ((val += m.val) >= mod)
val -= mod;
return *this;
}
mint &operator-=(const mint &m) {
if ((val -= m.val) < 0)
val += mod;
return *this;
}
mint &operator*=(const mint &m) {
val = (lint)val * m.val % mod;
return *this;
}
friend mint ipow(mint a, lint p) {
mint ans = 1;
for (; p; p /= 2, a *= a)
if (p & 1)
ans *= a;
return ans;
}
mint inv() const { return ipow(*this, mod - 2); }
mint &operator/=(const mint &m) { return (*this) *= m.inv(); }
friend mint operator+(mint a, const mint &b) { return a += b; }
friend mint operator-(mint a, const mint &b) { return a -= b; }
friend mint operator*(mint a, const mint &b) { return a *= b; }
friend mint operator/(mint a, const mint &b) { return a /= b; }
operator int64_t() const { return val; }
};
array<mint, 2> TT(array<mint, 2> a, array<mint, 2> b) {
array<mint, 2> ret = {a[0] * b[0], a[1] * b[0] + b[1]};
return ret;
}
array<mint, 2> UT(int a, array<mint, 2> b) { return b; }
int UU(int a, int b) { return a + b; }
array<mint, 2> ET() { return array<mint, 2>{mint(1), mint(0)}; }
int EU() { return 0; }
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, q;
cin >> n >> q;
vector<lint> a(n), b(n);
vector<int> nxt(n + 1);
vector<lint> sums(n + 1);
nxt[n] = n;
for (int i = 0; i < n; i++) {
cin >> a[i] >> b[i];
}
vector<array<mint, 2>> toseg(n);
for (int i = n - 1; i >= 0; i--) {
sums[i] = sums[i + 1] + a[i];
nxt[i] = (b[i] > 1 ? i : nxt[i + 1]);
toseg[i] = array<mint, 2>{b[i], (b[i] == 1 ? mint(a[i]) : mint(0))};
}
atcoder::lazy_segtree<array<mint, 2>, TT, ET, int, UT, UU, EU> seg(toseg);
for (int i = 0; i < q; i++) {
lint x;
cin >> x;
int l, r;
cin >> l >> r;
while (l < r && x < 2e9) {
if (l < nxt[l]) {
x += sums[l] - sums[min(nxt[l], r)];
l = min(nxt[l], r);
continue;
}
x = max(a[l] + x, b[l] * x);
l++;
}
auto prd = seg.prod(l, r);
cout << mint(x) * prd[0] + prd[1] << "\n";
}
}
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 | #include <bits/stdc++.h> #define sz(v) ((int)(v).size()) #define all(v) (v).begin(), (v).end() #define cr(v, n) (v).clear(), (v).resize(n); using namespace std; using lint = long long; using pi = array<lint, 2>; const lint oo = 1e18; namespace atcoder { // @return same with std::bit::bit_ceil unsigned int bit_ceil(unsigned int n) { unsigned int x = 1; while (x < (unsigned int)(n)) x *= 2; return x; } // @param n `1 <= n` // @return same with std::bit::countr_zero int countr_zero(unsigned int n) { #ifdef _MSC_VER unsigned long index; _BitScanForward(&index, n); return index; #else return __builtin_ctz(n); #endif } // @param n `1 <= n` // @return same with std::bit::countr_zero constexpr int countr_zero_constexpr(unsigned int n) { int x = 0; while (!(n & (1 << x))) x++; return x; } template <class S, auto op, auto e, class F, auto mapping, auto composition, auto id> struct lazy_segtree { static_assert(std::is_convertible_v<decltype(op), std::function<S(S, S)>>, "op must work as S(S, S)"); static_assert(std::is_convertible_v<decltype(e), std::function<S()>>, "e must work as S()"); static_assert(std::is_convertible_v<decltype(mapping), std::function<S(F, S)>>, "mapping must work as S(F, S)"); static_assert(std::is_convertible_v<decltype(composition), std::function<F(F, F)>>, "composition must work as F(F, F)"); static_assert(std::is_convertible_v<decltype(id), std::function<F()>>, "id must work as F()"); public: lazy_segtree() : lazy_segtree(0) {} explicit lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {} explicit lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) { size = (int)bit_ceil((unsigned int)(_n)); log = countr_zero((unsigned int)size); d = std::vector<S>(2 * size, e()); lz = std::vector<F>(size, id()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); return d[p]; } S prod(int l, int r) { assert(0 <= l && l <= r && r <= _n); if (l == r) return e(); l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } S sml = e(), smr = e(); while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() { return d[1]; } void apply(int p, F f) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); d[p] = mapping(f, d[p]); for (int i = 1; i <= log; i++) update(p >> i); } void apply(int l, int r, F f) { assert(0 <= l && l <= r && r <= _n); if (l == r) return; l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } { int l2 = l, r2 = r; while (l < r) { if (l & 1) all_apply(l++, f); if (r & 1) all_apply(--r, f); l >>= 1; r >>= 1; } l = l2; r = r2; } for (int i = 1; i <= log; i++) { if (((l >> i) << i) != l) update(l >> i); if (((r >> i) << i) != r) update((r - 1) >> i); } } template <bool (*g)(S)> int max_right(int l) { return max_right(l, [](S x) { return g(x); }); } template <class G> int max_right(int l, G g) { assert(0 <= l && l <= _n); assert(g(e())); if (l == _n) return _n; l += size; for (int i = log; i >= 1; i--) push(l >> i); S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!g(op(sm, d[l]))) { while (l < size) { push(l); l = (2 * l); if (g(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - size; } sm = op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template <bool (*g)(S)> int min_left(int r) { return min_left(r, [](S x) { return g(x); }); } template <class G> int min_left(int r, G g) { assert(0 <= r && r <= _n); assert(g(e())); if (r == 0) return 0; r += size; for (int i = log; i >= 1; i--) push((r - 1) >> i); S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!g(op(d[r], sm))) { while (r < size) { push(r); r = (2 * r + 1); if (g(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - size; } sm = op(d[r], sm); } while ((r & -r) != r); return 0; } private: int _n, size, log; std::vector<S> d; std::vector<F> lz; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } void all_apply(int k, F f) { d[k] = mapping(f, d[k]); if (k < size) lz[k] = composition(f, lz[k]); } void push(int k) { all_apply(2 * k, lz[k]); all_apply(2 * k + 1, lz[k]); lz[k] = id(); } }; } // namespace atcoder const int mod = 1e9 + 7; struct mint { int val; mint() { val = 0; } mint(const lint &v) { val = (-mod <= v && v < mod) ? v : v % mod; if (val < 0) val += mod; } friend ostream &operator<<(ostream &os, const mint &a) { return os << a.val; } friend bool operator==(const mint &a, const mint &b) { return a.val == b.val; } friend bool operator!=(const mint &a, const mint &b) { return !(a == b); } friend bool operator<(const mint &a, const mint &b) { return a.val < b.val; } mint operator-() const { return mint(-val); } mint &operator+=(const mint &m) { if ((val += m.val) >= mod) val -= mod; return *this; } mint &operator-=(const mint &m) { if ((val -= m.val) < 0) val += mod; return *this; } mint &operator*=(const mint &m) { val = (lint)val * m.val % mod; return *this; } friend mint ipow(mint a, lint p) { mint ans = 1; for (; p; p /= 2, a *= a) if (p & 1) ans *= a; return ans; } mint inv() const { return ipow(*this, mod - 2); } mint &operator/=(const mint &m) { return (*this) *= m.inv(); } friend mint operator+(mint a, const mint &b) { return a += b; } friend mint operator-(mint a, const mint &b) { return a -= b; } friend mint operator*(mint a, const mint &b) { return a *= b; } friend mint operator/(mint a, const mint &b) { return a /= b; } operator int64_t() const { return val; } }; array<mint, 2> TT(array<mint, 2> a, array<mint, 2> b) { array<mint, 2> ret = {a[0] * b[0], a[1] * b[0] + b[1]}; return ret; } array<mint, 2> UT(int a, array<mint, 2> b) { return b; } int UU(int a, int b) { return a + b; } array<mint, 2> ET() { return array<mint, 2>{mint(1), mint(0)}; } int EU() { return 0; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, q; cin >> n >> q; vector<lint> a(n), b(n); vector<int> nxt(n + 1); vector<lint> sums(n + 1); nxt[n] = n; for (int i = 0; i < n; i++) { cin >> a[i] >> b[i]; } vector<array<mint, 2>> toseg(n); for (int i = n - 1; i >= 0; i--) { sums[i] = sums[i + 1] + a[i]; nxt[i] = (b[i] > 1 ? i : nxt[i + 1]); toseg[i] = array<mint, 2>{b[i], (b[i] == 1 ? mint(a[i]) : mint(0))}; } atcoder::lazy_segtree<array<mint, 2>, TT, ET, int, UT, UU, EU> seg(toseg); for (int i = 0; i < q; i++) { lint x; cin >> x; int l, r; cin >> l >> r; while (l < r && x < 2e9) { if (l < nxt[l]) { x += sums[l] - sums[min(nxt[l], r)]; l = min(nxt[l], r); continue; } x = max(a[l] + x, b[l] * x); l++; } auto prd = seg.prod(l, r); cout << mint(x) * prd[0] + prd[1] << "\n"; } } |
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