//#pragma GCC optimize("Ofast", "unroll-loops")
//#pragma GCC target("sse", "sse2", "sse3", "ssse3", "sse4")
#include <bits/stdc++.h>
#define all(a) a.begin(),a.end()
#define len(a) (int)(a.size())
#define mp make_pair
#define pb push_back
#define fi first
#define se second
using namespace std;
typedef pair<int, int> pii;
typedef long long ll;
typedef long double ld;
template<class T>
using vec = vector<T>;
template<typename T>
bool umin(T &a, T b) {
if (b < a) {
a = b;
return true;
}
return false;
}
template<typename T>
bool umax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
#ifdef KoRoVa
#define DEBUG for (bool _FLAG = true; _FLAG; _FLAG = false)
#define LOG(...) print(#__VA_ARGS__" ::", __VA_ARGS__) << endl
template <class ...Ts> auto &print(Ts ...ts) { return ((cerr << ts << " "), ...); }
#else
#define DEBUG while (false)
#define LOG(...)
#endif
const int max_n = 5e5 + 11, inf = 1000111222;
const int mod = 1e9 + 7;
inline void inc(int &x, int y) {
x += y;
if (x >= mod) {
x -= mod;
}
}
inline void dec(int &x, int y) {
x -= y;
if (x < 0) {
x += mod;
}
}
inline int neg (int x) {
return x ? mod - x : 0;
}
inline int mul(int x, int y) {
return (1LL * x * y) % mod;
}
int power(int x, int y) {
if (y < 0) {
y += mod - 1;
}
if (y == 0) {
return 1;
}
if (y % 2 == 0) {
return power(mul(x, x), y / 2);
}
return mul(x, power(x, y - 1));
}
inline int inv(int x) {
return power(x, mod - 2);
}
// new mint part
inline int divide (int x, int y) {
return mul(x, inv(y));
}
struct mint {
#define oper_apply(op, f) mint& operator op (const mint &x) {f(val, x.val); return *this;}
#define oper_apply_const(op, f) mint operator op (const mint &x) const {mint tmp = *this; f(tmp.val, x.val); return tmp;}
#define oper_return(op, f) mint& operator op (const mint &x) {val = f(val, x.val); return *this;}
#define oper_return_const(op, f) mint operator op (const mint &x) const {return mint(f(val, x.val));}
int val;
mint(int x = 0) : val(x) {}
oper_apply(+=, inc);
oper_apply_const(+, inc);
oper_apply(-=, dec);
oper_apply_const(-, dec);
oper_return(*=, mul);
oper_return_const(*, mul);
oper_return(/=, divide);
oper_return_const(/, divide);
oper_return(^=, power);
oper_return_const(^, power);
};
const int max_f = 11;
const int max_rf = max_f;
static_assert(max_f >= 1 && max_rf >= 1);
mint f[max_f], rf[max_rf];
bool frf_calculated = []() {
f[0] = 1;
for (int i = 1; i < max_f; ++i) {
f[i] = f[i - 1] * mint(i);
}
mint x = f[min(max_f, max_rf) - 1];
for (int i = max_f; i < max_rf; ++i) {
x *= mint(i);
}
rf[max_rf - 1] = inv(x.val);
for (int i = max_rf - 2; i >= 0; --i) {
rf[i] = rf[i + 1] * mint(i + 1);
}
return true;
}();
inline mint A (int n, int k) {
if (k < 0 || k > n) return 0;
return f[n] * rf[n - k];
}
inline mint C (int n, int k) {
if (k < 0 || k > n) return 0;
return A(n, k) * rf[k];
}
int a[max_n], b[max_n], to[max_n];
ll pref[max_n];
struct node {
mint k, b;
/// not existing node
node () : k(1), b(0) {}
};
inline node pull (node a, node b) {
node res;
res.k = b.k * a.k;
res.b = b.b + a.b * b.k;
return res;
}
struct segment_tree {
vector <node> t;
int n;
segment_tree () {}
inline void build (int v, int tl, int tr) {
if (tl == tr) {
if (b[tr] == 1) {
t[v].k = 1;
t[v].b = a[tr];
}
else {
t[v].k = b[tr];
t[v].b = 0;
}
return;
}
int tm = (tl + tr) >> 1;
build(v << 1, tl, tm);
build(v << 1 | 1, tm + 1, tr);
t[v] = pull(t[v << 1], t[v << 1 | 1]);
}
segment_tree (int n) : n(n){
t.resize(4 * n);
build(1, 0, n - 1);
}
inline void push (int v, int tl, int tr) {
}
inline void update (int v, int tl, int tr, int l, int r, int x) { /// think
push(v, tl, tr);
if (l > r) return;
if (tl == l && tr == r) { /// think
// t[v]
push(v, tl, tr);
return;
}
int tm = (tl + tr) >> 1;
update(v << 1, tl, tm, l, min(r, tm), x);
update(v << 1 | 1, tm + 1, tr, max(tm + 1, l), r, x);
t[v] = pull(t[v << 1], t[v << 1 | 1]);
}
inline node query (int v, int tl, int tr, int l, int r) {
push(v, tl, tr);
if (l > r) return node();
if (tl == l && tr == r) {
return t[v];
}
int tm = (tl + tr) >> 1;
return pull(query(v << 1, tl, tm, l, min(r, tm)), query(v << 1 | 1, tm + 1, tr, max(tm + 1, l), r));
}
inline void upd (int l, int r, int x) {
update(1, 0, n - 1, l, r, x);
}
inline node get (int l, int r) {
return query(1, 0, n - 1, l, r);
}
};
int nxt[max_n];
int main() {
// freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, q;
cin >> n >> q;
for (int i = 0; i < n; i++) {
cin >> a[i] >> b[i];
pref[i] = a[i];
if (i) {
pref[i] += pref[i - 1];
}
}
int last = n;
for (int i = n - 1; i >= 0; i--) {
if (b[i] > 1) {
last = i;
}
to[i] = last;
}
last = n;
for (int i = n - 1; i >= 0; i--) {
if (a[i] > 0) {
last = i;
}
nxt[i] = last;
}
auto get_pref = [&] (int l, int r) -> ll {
if (l > r) {
return 0LL;
}
return pref[r] - (l ? pref[l - 1] : 0LL);
};
ll x;
int l, r;
segment_tree t(n);
for (int i = 0; i < q; i++) {
cin >> x >> l >> r;
if (x == 0) {
int go = nxt[l];
if (go < r) {
x = a[go];
l = go + 1;
}
else {
l = r;
}
}
while (x <= mod && l < r) {
int go = min(r, to[l]);
x += get_pref(l, go - 1);
l = go;
if (x >= mod) {
break;
}
if (l < r) {
x = max(x + a[l], x * b[l]);
}
++l;
}
x %= mod;
// LOG(l, r, x);
node res = t.get(l, r - 1);
mint ans = mint(x) * res.k + res.b;
cout << ans.val << '\n';
}
}
/*
KoRoVa!
*/
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 | //#pragma GCC optimize("Ofast", "unroll-loops") //#pragma GCC target("sse", "sse2", "sse3", "ssse3", "sse4") #include <bits/stdc++.h> #define all(a) a.begin(),a.end() #define len(a) (int)(a.size()) #define mp make_pair #define pb push_back #define fi first #define se second using namespace std; typedef pair<int, int> pii; typedef long long ll; typedef long double ld; template<class T> using vec = vector<T>; template<typename T> bool umin(T &a, T b) { if (b < a) { a = b; return true; } return false; } template<typename T> bool umax(T &a, T b) { if (a < b) { a = b; return true; } return false; } #ifdef KoRoVa #define DEBUG for (bool _FLAG = true; _FLAG; _FLAG = false) #define LOG(...) print(#__VA_ARGS__" ::", __VA_ARGS__) << endl template <class ...Ts> auto &print(Ts ...ts) { return ((cerr << ts << " "), ...); } #else #define DEBUG while (false) #define LOG(...) #endif const int max_n = 5e5 + 11, inf = 1000111222; const int mod = 1e9 + 7; inline void inc(int &x, int y) { x += y; if (x >= mod) { x -= mod; } } inline void dec(int &x, int y) { x -= y; if (x < 0) { x += mod; } } inline int neg (int x) { return x ? mod - x : 0; } inline int mul(int x, int y) { return (1LL * x * y) % mod; } int power(int x, int y) { if (y < 0) { y += mod - 1; } if (y == 0) { return 1; } if (y % 2 == 0) { return power(mul(x, x), y / 2); } return mul(x, power(x, y - 1)); } inline int inv(int x) { return power(x, mod - 2); } // new mint part inline int divide (int x, int y) { return mul(x, inv(y)); } struct mint { #define oper_apply(op, f) mint& operator op (const mint &x) {f(val, x.val); return *this;} #define oper_apply_const(op, f) mint operator op (const mint &x) const {mint tmp = *this; f(tmp.val, x.val); return tmp;} #define oper_return(op, f) mint& operator op (const mint &x) {val = f(val, x.val); return *this;} #define oper_return_const(op, f) mint operator op (const mint &x) const {return mint(f(val, x.val));} int val; mint(int x = 0) : val(x) {} oper_apply(+=, inc); oper_apply_const(+, inc); oper_apply(-=, dec); oper_apply_const(-, dec); oper_return(*=, mul); oper_return_const(*, mul); oper_return(/=, divide); oper_return_const(/, divide); oper_return(^=, power); oper_return_const(^, power); }; const int max_f = 11; const int max_rf = max_f; static_assert(max_f >= 1 && max_rf >= 1); mint f[max_f], rf[max_rf]; bool frf_calculated = []() { f[0] = 1; for (int i = 1; i < max_f; ++i) { f[i] = f[i - 1] * mint(i); } mint x = f[min(max_f, max_rf) - 1]; for (int i = max_f; i < max_rf; ++i) { x *= mint(i); } rf[max_rf - 1] = inv(x.val); for (int i = max_rf - 2; i >= 0; --i) { rf[i] = rf[i + 1] * mint(i + 1); } return true; }(); inline mint A (int n, int k) { if (k < 0 || k > n) return 0; return f[n] * rf[n - k]; } inline mint C (int n, int k) { if (k < 0 || k > n) return 0; return A(n, k) * rf[k]; } int a[max_n], b[max_n], to[max_n]; ll pref[max_n]; struct node { mint k, b; /// not existing node node () : k(1), b(0) {} }; inline node pull (node a, node b) { node res; res.k = b.k * a.k; res.b = b.b + a.b * b.k; return res; } struct segment_tree { vector <node> t; int n; segment_tree () {} inline void build (int v, int tl, int tr) { if (tl == tr) { if (b[tr] == 1) { t[v].k = 1; t[v].b = a[tr]; } else { t[v].k = b[tr]; t[v].b = 0; } return; } int tm = (tl + tr) >> 1; build(v << 1, tl, tm); build(v << 1 | 1, tm + 1, tr); t[v] = pull(t[v << 1], t[v << 1 | 1]); } segment_tree (int n) : n(n){ t.resize(4 * n); build(1, 0, n - 1); } inline void push (int v, int tl, int tr) { } inline void update (int v, int tl, int tr, int l, int r, int x) { /// think push(v, tl, tr); if (l > r) return; if (tl == l && tr == r) { /// think // t[v] push(v, tl, tr); return; } int tm = (tl + tr) >> 1; update(v << 1, tl, tm, l, min(r, tm), x); update(v << 1 | 1, tm + 1, tr, max(tm + 1, l), r, x); t[v] = pull(t[v << 1], t[v << 1 | 1]); } inline node query (int v, int tl, int tr, int l, int r) { push(v, tl, tr); if (l > r) return node(); if (tl == l && tr == r) { return t[v]; } int tm = (tl + tr) >> 1; return pull(query(v << 1, tl, tm, l, min(r, tm)), query(v << 1 | 1, tm + 1, tr, max(tm + 1, l), r)); } inline void upd (int l, int r, int x) { update(1, 0, n - 1, l, r, x); } inline node get (int l, int r) { return query(1, 0, n - 1, l, r); } }; int nxt[max_n]; int main() { // freopen("input.txt", "r", stdin); // freopen("output.txt", "w", stdout); ios_base::sync_with_stdio(0); cin.tie(0); int n, q; cin >> n >> q; for (int i = 0; i < n; i++) { cin >> a[i] >> b[i]; pref[i] = a[i]; if (i) { pref[i] += pref[i - 1]; } } int last = n; for (int i = n - 1; i >= 0; i--) { if (b[i] > 1) { last = i; } to[i] = last; } last = n; for (int i = n - 1; i >= 0; i--) { if (a[i] > 0) { last = i; } nxt[i] = last; } auto get_pref = [&] (int l, int r) -> ll { if (l > r) { return 0LL; } return pref[r] - (l ? pref[l - 1] : 0LL); }; ll x; int l, r; segment_tree t(n); for (int i = 0; i < q; i++) { cin >> x >> l >> r; if (x == 0) { int go = nxt[l]; if (go < r) { x = a[go]; l = go + 1; } else { l = r; } } while (x <= mod && l < r) { int go = min(r, to[l]); x += get_pref(l, go - 1); l = go; if (x >= mod) { break; } if (l < r) { x = max(x + a[l], x * b[l]); } ++l; } x %= mod; // LOG(l, r, x); node res = t.get(l, r - 1); mint ans = mint(x) * res.k + res.b; cout << ans.val << '\n'; } } /* KoRoVa! */ |
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