#include <bits/stdc++.h>
#define mod 1000000007
using namespace std;
struct Node {
long long a, b;
//bro no czemu pointery sa takie wolne
//pozdrawiam jakub rozek
//pozdrawiam olaf targowski
//pozdrawiam waldemar lamandindini
//https://www.youtube.com/watch?v=dQw4w9WgXcQ
};
long long getint() {
long long nm;
char c = getchar_unlocked();
while (c<'0' or c>'9') c = getchar_unlocked();
nm = c - '0';
c = getchar_unlocked();
while (c >= '0' and c <= '9') {
nm *= 10;
nm += (c - '0');
c = getchar_unlocked();
}
return nm;
}
void putint(long long nm) {
if (nm >= 10) putint(nm / 10);
putchar_unlocked('0' + nm % 10);
}
int n, q;
vector<long long>a, b, pref, prefm;
Node tree[1600009];
vector<int>nextmult, nextadd;
void build(int v, int l, int r) {
if (l == r) {
if (b[l] == 1) tree[v] = {1, a[l] % mod};
else tree[v] = {b[l] % mod, 0};
return;
}
int mid = (l + r) / 2;
build(2 * v, l, mid);
build(2 * v + 1, mid + 1, r);
tree[v].a = tree[2 * v + 1].a * tree[2 * v].a % mod;
tree[v].b = (tree[2 * v + 1].a * tree[2 * v].b + tree[2 * v + 1].b) % mod;
}
Node que(int v, int l, int r, int ql, int qr) {
if (qr < l or r < ql) return {1, 0};
if (ql <= l and r <= qr) return tree[v];
int mid = (l + r) / 2;
Node L = que(2 * v, l, mid, ql, qr);
Node R = que(2 * v + 1, mid + 1, r, ql, qr);
return {R.a * L.a % mod, (R.a * L.b + R.b) % mod};
}
int main() {
n = getint();
q = getint();
a.resize(n + 1);
b.resize(n + 1);
pref.resize(n + 1);
prefm.resize(n + 1);
nextmult.resize(n + 2, n + 1);
nextadd.resize(n + 2, n + 1);
for (int i = 1; i <= n; i++) {
a[i] = getint();
b[i] = getint();
}
for (int i = 1; i <= n; i++) {
pref[i] = pref[i - 1] + a[i];
prefm[i] = (prefm[i - 1] + a[i]) % mod;
}
for (int i = n; i >= 1; i--) {
if (b[i] > 1) nextmult[i] = i;
else nextmult[i] = nextmult[i + 1];
if (a[i] > 0) nextadd[i] = i;
else nextadd[i] = nextadd[i + 1];
}
build(1, 1, n);
while (q--) {
long long x;
int l, r;
x = getint();
l = getint();
r = getint();
int ind = l + 1;
long long v = x;
if (v == 0) {
int p = nextadd[ind];
if (p > r) {
putint(0);
putchar_unlocked('\n');
continue;
}
v = a[p];
x = a[p] % mod;
ind = p + 1;
}
bool bul = 0;
while (ind <= r and v < mod) {
int m = nextmult[ind];
if (m > r) {
long long s = pref[r] - pref[ind - 1];
long long sm = (prefm[r] - prefm[ind - 1] + mod) % mod;
x = (x + sm) % mod;
putint(x);
putchar_unlocked('\n');
bul = 1;
break;
//fallback
}
long long s = pref[m - 1] - pref[ind - 1];
long long sm = (prefm[m - 1] - prefm[ind - 1] + mod) % mod;
v += s;
x += sm;
x %= mod;
ind = m;
if (v >= mod) break;
if (v == 0 or (b[m] - 1) == 0 or v <= a[m] / (b[m] - 1)) {
v += a[m];
x += a[m] % mod;
x %= mod;
//dodawanie
}
else {
v *= b[m];
x = (x * (b[m] % mod)) % mod;
//mnozenie
}
ind = m + 1;
if (v >= mod) break;
}
if (bul) continue;
Node t = que(1, 1, n, ind, r);
putint( (t.a * x + t.b) % mod );
putchar_unlocked('\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 | #include <bits/stdc++.h> #define mod 1000000007 using namespace std; struct Node { long long a, b; //bro no czemu pointery sa takie wolne //pozdrawiam jakub rozek //pozdrawiam olaf targowski //pozdrawiam waldemar lamandindini //https://www.youtube.com/watch?v=dQw4w9WgXcQ }; long long getint() { long long nm; char c = getchar_unlocked(); while (c<'0' or c>'9') c = getchar_unlocked(); nm = c - '0'; c = getchar_unlocked(); while (c >= '0' and c <= '9') { nm *= 10; nm += (c - '0'); c = getchar_unlocked(); } return nm; } void putint(long long nm) { if (nm >= 10) putint(nm / 10); putchar_unlocked('0' + nm % 10); } int n, q; vector<long long>a, b, pref, prefm; Node tree[1600009]; vector<int>nextmult, nextadd; void build(int v, int l, int r) { if (l == r) { if (b[l] == 1) tree[v] = {1, a[l] % mod}; else tree[v] = {b[l] % mod, 0}; return; } int mid = (l + r) / 2; build(2 * v, l, mid); build(2 * v + 1, mid + 1, r); tree[v].a = tree[2 * v + 1].a * tree[2 * v].a % mod; tree[v].b = (tree[2 * v + 1].a * tree[2 * v].b + tree[2 * v + 1].b) % mod; } Node que(int v, int l, int r, int ql, int qr) { if (qr < l or r < ql) return {1, 0}; if (ql <= l and r <= qr) return tree[v]; int mid = (l + r) / 2; Node L = que(2 * v, l, mid, ql, qr); Node R = que(2 * v + 1, mid + 1, r, ql, qr); return {R.a * L.a % mod, (R.a * L.b + R.b) % mod}; } int main() { n = getint(); q = getint(); a.resize(n + 1); b.resize(n + 1); pref.resize(n + 1); prefm.resize(n + 1); nextmult.resize(n + 2, n + 1); nextadd.resize(n + 2, n + 1); for (int i = 1; i <= n; i++) { a[i] = getint(); b[i] = getint(); } for (int i = 1; i <= n; i++) { pref[i] = pref[i - 1] + a[i]; prefm[i] = (prefm[i - 1] + a[i]) % mod; } for (int i = n; i >= 1; i--) { if (b[i] > 1) nextmult[i] = i; else nextmult[i] = nextmult[i + 1]; if (a[i] > 0) nextadd[i] = i; else nextadd[i] = nextadd[i + 1]; } build(1, 1, n); while (q--) { long long x; int l, r; x = getint(); l = getint(); r = getint(); int ind = l + 1; long long v = x; if (v == 0) { int p = nextadd[ind]; if (p > r) { putint(0); putchar_unlocked('\n'); continue; } v = a[p]; x = a[p] % mod; ind = p + 1; } bool bul = 0; while (ind <= r and v < mod) { int m = nextmult[ind]; if (m > r) { long long s = pref[r] - pref[ind - 1]; long long sm = (prefm[r] - prefm[ind - 1] + mod) % mod; x = (x + sm) % mod; putint(x); putchar_unlocked('\n'); bul = 1; break; //fallback } long long s = pref[m - 1] - pref[ind - 1]; long long sm = (prefm[m - 1] - prefm[ind - 1] + mod) % mod; v += s; x += sm; x %= mod; ind = m; if (v >= mod) break; if (v == 0 or (b[m] - 1) == 0 or v <= a[m] / (b[m] - 1)) { v += a[m]; x += a[m] % mod; x %= mod; //dodawanie } else { v *= b[m]; x = (x * (b[m] % mod)) % mod; //mnozenie } ind = m + 1; if (v >= mod) break; } if (bul) continue; Node t = que(1, 1, n, ind, r); putint( (t.a * x + t.b) % mod ); putchar_unlocked('\n'); } } |
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