//#pragma GCC optimize("O3")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>
using namespace std;
namespace debug {
template <class c> struct rge { c b, e; };
template <class c> rge<c> range(c i, c j) { return rge<c>{i, j}; }
template <class c> char spk(...);
template <class c> auto spk(c *a) -> decltype(cerr << *a, 0);
struct stream {
~stream() { cerr << endl; }
template <class c>
typename enable_if<sizeof spk<c>(0) != 1, stream &>::type operator<<(c i) {
cerr << boolalpha << i;
return *this;
}
template <class c>
typename enable_if<sizeof spk<c>(0) == 1, stream &>::type operator<<(c i) {
return *this << range(begin(i), end(i));
}
template <class a, class b> stream &operator<<(pair<a, b> p) {
return *this << "(" << p.first << ", " << p.second << ")";
}
template <class c> stream &operator<<(rge<c> d) {
*this << "[";
for (auto it = d.b; it != d.e; it++)
*this << ", " + 2 * (it == d.b) << *it;
return *this << "]";
}
stream &_dbg(const string &s, int i, int b) { return *this; }
template <class c, class... cs>
stream &_dbg(const string &s, int i, int b, c arg, cs... args) {
if (i == (int)(s.size()))
return (*this << ": " << arg);
b += (s[i] == '(') + (s[i] == '[') + (s[i] == '{') - (s[i] == ')') -
(s[i] == ']') - (s[i] == '}');
return (s[i] == ',' && b == 0)
? (*this << ": " << arg << " ")._dbg(s, i + 1, b, args...)
: (s[i] == ' ' ? *this : *this << s[i])
._dbg(s, i + 1, b, arg, args...);
}
};
} // namespace debug
#ifdef DEBUG
#define dout debug::stream()
#define dbg(...) ((dout << "line:" << __LINE__ << " >> ")._dbg(#__VA_ARGS__, 0, 0, __VA_ARGS__))
#else
#define dout
#define dbg(...)
#endif
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#define rep(i, a, b) for (int i = (a); i <= (b); i++)
#define per(i, a, b) for (int i = (b); i >= (a); i--)
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define all(a) (a).begin(), (a).end()
#define SZ(x) (int)(x).size()
#define mp make_pair
#define st first
#define nd second
using ll = long long;
using pii = pair<int,int>;
using vi = vector<int>;
const int MAXN = 500'007;
const int SIZE = 1 << 19;
const int MOD = 1e9 + 7;
int A[MAXN], B[MAXN], next_b[MAXN];
ll pref_sum[MAXN];
pii T[2*SIZE+7];
inline ll sum(int l, int r) {
return pref_sum[r] - pref_sum[l-1];
}
pii combine(const pii& l, const pii& r) {
int a = 1ll * l.st * r.st % MOD;
int b = (1ll * r.st * l.nd + r.nd) % MOD;
return mp(a, b);
}
void build(int n) {
rep(i, 1, n) {
if (B[i] > 1) {
T[i+SIZE] = mp(B[i], 0);
}
else {
T[i+SIZE] = mp(1, A[i]);
}
}
per(i, 1, SIZE-1) T[i] = combine(T[2*i], T[2*i+1]);
}
pii query(int l, int r) {
l += SIZE; r += SIZE;
pii lres(1,0), rres(1, 0);
while (l <= r) {
if (l % 2 == 1) lres = combine(lres, T[l]);
if (r % 2 == 0) rres = combine(T[r], rres);
l = (l + 1) / 2;
r = (r - 1) / 2;
}
return combine(lres, rres);
}
int solve(int l, int r, ll x) {
while (l <= r && x < MOD) {
if (B[l] == 1) {
int bi = min(next_b[l], r+1);
x += sum(l, bi-1);
l = bi;
}
else {
x = max(x + A[l], B[l] * x);
l++;
}
}
x %= MOD;
pii f = query(l, r);
return (1ll * f.st * x + f.nd) % MOD;
}
int main() {
cin.tie(nullptr);
ios_base::sync_with_stdio(false);
int n, q;
cin >> n >> q;
rep(i, 1, n) cin >> A[i] >> B[i];
next_b[n] = n+1;
per(i, 1, n-1) next_b[i] = B[i+1] > 1 ? i+1 : next_b[i+1];
rep(i, 1, n) pref_sum[i] = pref_sum[i-1] + A[i];
build(n);
while (q--) {
int x, l, r;
cin >> x >> l >> r;
l++;
cout << solve(l, r, x) << '\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 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 | //#pragma GCC optimize("O3") //#pragma GCC optimize("Ofast") //#pragma GCC optimize("unroll-loops") //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #include <bits/stdc++.h> using namespace std; namespace debug { template <class c> struct rge { c b, e; }; template <class c> rge<c> range(c i, c j) { return rge<c>{i, j}; } template <class c> char spk(...); template <class c> auto spk(c *a) -> decltype(cerr << *a, 0); struct stream { ~stream() { cerr << endl; } template <class c> typename enable_if<sizeof spk<c>(0) != 1, stream &>::type operator<<(c i) { cerr << boolalpha << i; return *this; } template <class c> typename enable_if<sizeof spk<c>(0) == 1, stream &>::type operator<<(c i) { return *this << range(begin(i), end(i)); } template <class a, class b> stream &operator<<(pair<a, b> p) { return *this << "(" << p.first << ", " << p.second << ")"; } template <class c> stream &operator<<(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; it++) *this << ", " + 2 * (it == d.b) << *it; return *this << "]"; } stream &_dbg(const string &s, int i, int b) { return *this; } template <class c, class... cs> stream &_dbg(const string &s, int i, int b, c arg, cs... args) { if (i == (int)(s.size())) return (*this << ": " << arg); b += (s[i] == '(') + (s[i] == '[') + (s[i] == '{') - (s[i] == ')') - (s[i] == ']') - (s[i] == '}'); return (s[i] == ',' && b == 0) ? (*this << ": " << arg << " ")._dbg(s, i + 1, b, args...) : (s[i] == ' ' ? *this : *this << s[i]) ._dbg(s, i + 1, b, arg, args...); } }; } // namespace debug #ifdef DEBUG #define dout debug::stream() #define dbg(...) ((dout << "line:" << __LINE__ << " >> ")._dbg(#__VA_ARGS__, 0, 0, __VA_ARGS__)) #else #define dout #define dbg(...) #endif // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #define rep(i, a, b) for (int i = (a); i <= (b); i++) #define per(i, a, b) for (int i = (b); i >= (a); i--) #define FOR(i, a, b) for (int i = (a); i < (b); i++) #define all(a) (a).begin(), (a).end() #define SZ(x) (int)(x).size() #define mp make_pair #define st first #define nd second using ll = long long; using pii = pair<int,int>; using vi = vector<int>; const int MAXN = 500'007; const int SIZE = 1 << 19; const int MOD = 1e9 + 7; int A[MAXN], B[MAXN], next_b[MAXN]; ll pref_sum[MAXN]; pii T[2*SIZE+7]; inline ll sum(int l, int r) { return pref_sum[r] - pref_sum[l-1]; } pii combine(const pii& l, const pii& r) { int a = 1ll * l.st * r.st % MOD; int b = (1ll * r.st * l.nd + r.nd) % MOD; return mp(a, b); } void build(int n) { rep(i, 1, n) { if (B[i] > 1) { T[i+SIZE] = mp(B[i], 0); } else { T[i+SIZE] = mp(1, A[i]); } } per(i, 1, SIZE-1) T[i] = combine(T[2*i], T[2*i+1]); } pii query(int l, int r) { l += SIZE; r += SIZE; pii lres(1,0), rres(1, 0); while (l <= r) { if (l % 2 == 1) lres = combine(lres, T[l]); if (r % 2 == 0) rres = combine(T[r], rres); l = (l + 1) / 2; r = (r - 1) / 2; } return combine(lres, rres); } int solve(int l, int r, ll x) { while (l <= r && x < MOD) { if (B[l] == 1) { int bi = min(next_b[l], r+1); x += sum(l, bi-1); l = bi; } else { x = max(x + A[l], B[l] * x); l++; } } x %= MOD; pii f = query(l, r); return (1ll * f.st * x + f.nd) % MOD; } int main() { cin.tie(nullptr); ios_base::sync_with_stdio(false); int n, q; cin >> n >> q; rep(i, 1, n) cin >> A[i] >> B[i]; next_b[n] = n+1; per(i, 1, n-1) next_b[i] = B[i+1] > 1 ? i+1 : next_b[i+1]; rep(i, 1, n) pref_sum[i] = pref_sum[i-1] + A[i]; build(n); while (q--) { int x, l, r; cin >> x >> l >> r; l++; cout << solve(l, r, x) << '\n'; } return 0; } |
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