#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
typedef long long ll;
vector <ll> a,b;
const ll MOD = 1000000007;
struct Node {
ll granX;
ll mnozMOD, dodMod;
ll mnozBez, dodBez;
};
struct pyt {
ll wynMOD;
ll wynBez;
};
vector <Node> drzewo;
Node merge (Node &left, Node &right) {
Node tym;
tym.granX = max(left.granX,right.granX);
tym.mnozMOD = (left.mnozMOD*right.mnozMOD)%MOD;
tym.dodMod = (left.dodMod*right.mnozMOD+right.dodMod)%MOD;
tym.mnozBez = left.mnozBez*right.mnozBez;
if (tym.mnozBez > MOD) tym.mnozBez = MOD;
tym.dodBez = left.dodBez*right.mnozBez+right.dodBez;
if (tym.dodBez > MOD) tym.dodBez = MOD;
return tym;
}
void build(int rozm, int n) {
for (int i = 0; i < n; i++) {
int p = i + rozm;
if (b[i] == 1) {
drzewo[p].granX = -1;
drzewo[p].mnozBez = drzewo[p].mnozMOD = 1;
drzewo[p].dodMod = drzewo[p].dodBez = a[i];
} else {
int gran = -1;
if (a[i] != 0) gran = (a[i]-1)/(b[i]-1);
drzewo[p].granX = gran;
drzewo[p].mnozMOD = drzewo[p].mnozBez = b[i];
drzewo[p].dodMod = drzewo[p].dodBez = 0;
}
}
//cout << rozm;
for (int i = n; i < rozm; i++) {
drzewo[i + rozm] = {-1, 1, 0, 1, 0};
}
for (int i = rozm - 1; i >= 1; i--) {
drzewo[i] = merge(drzewo[2*i], drzewo[2*i+1]);
}
}
void lazyNode (Node &tree, pyt&curr) {
curr.wynMOD = (curr.wynMOD*tree.mnozMOD+tree.dodMod)%MOD;
if (curr.wynBez != MOD) {
ll tym = curr.wynBez*tree.mnozBez+tree.dodBez;
if (tym >= MOD) curr.wynBez = MOD;
else curr.wynBez = tym;
}
}
void lazyLisc (Node &tree, pyt &curr, int p) {
ll aCurr = a[p], bCurr = b[p];
if (bCurr == 1) {
curr.wynMOD = (curr.wynMOD+aCurr)%MOD;
curr.wynBez = (curr.wynBez+aCurr);
if (curr.wynBez > MOD) curr.wynBez = MOD;
return;
}
int gran = -1;
if (aCurr != 0) gran = (aCurr-1)/(bCurr-1);
if (curr.wynBez == MOD || curr.wynBez > gran) {
curr.wynMOD = (curr.wynMOD*bCurr)%MOD;
curr.wynBez = curr.wynBez*bCurr;
if (curr.wynBez > MOD) curr.wynBez = MOD;
} else {
curr.wynMOD = (curr.wynMOD+aCurr)%MOD;
curr.wynBez = curr.wynBez+aCurr;
if (curr.wynBez > MOD) curr.wynBez = MOD;
}
//cout << curr.wynBez << " " << curr.wynMOD << "\n";
}
void query (int p, int l, int r, int ql, int qr, pyt &curr, int &n) {
if (l >= qr || r <= ql) return;
if (l >= ql && r <= qr && (curr.wynBez == MOD || curr.wynBez > drzewo[p].granX)) {
lazyNode(drzewo[p],curr);
return;
}
if (r == l+1) {
if (l < n) lazyLisc(drzewo[p],curr,l);
return;
}
int mid = (l+r)/2;
query(p*2,l,mid,ql,qr,curr,n);
query(p*2+1,mid,r,ql,qr, curr,n);
}
int main () {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n,q;
cin >> n >> q;
a.resize(n);
b.resize(n);
int rozm = 1;
while (rozm <= n) rozm*=2;
drzewo.resize(2*rozm);
for (int i = 0; i < n; i++) {
cin >> a[i] >> b[i];
}
build(rozm,n);
while (q--) {
ll x,l,r;
cin >> x >> l >> r;
pyt tym = {x,x};
query(1,0,rozm,l,r,tym,n);
cout << tym.wynMOD%MOD << "\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 | #include <iostream> #include <vector> #include <algorithm> using namespace std; typedef long long ll; vector <ll> a,b; const ll MOD = 1000000007; struct Node { ll granX; ll mnozMOD, dodMod; ll mnozBez, dodBez; }; struct pyt { ll wynMOD; ll wynBez; }; vector <Node> drzewo; Node merge (Node &left, Node &right) { Node tym; tym.granX = max(left.granX,right.granX); tym.mnozMOD = (left.mnozMOD*right.mnozMOD)%MOD; tym.dodMod = (left.dodMod*right.mnozMOD+right.dodMod)%MOD; tym.mnozBez = left.mnozBez*right.mnozBez; if (tym.mnozBez > MOD) tym.mnozBez = MOD; tym.dodBez = left.dodBez*right.mnozBez+right.dodBez; if (tym.dodBez > MOD) tym.dodBez = MOD; return tym; } void build(int rozm, int n) { for (int i = 0; i < n; i++) { int p = i + rozm; if (b[i] == 1) { drzewo[p].granX = -1; drzewo[p].mnozBez = drzewo[p].mnozMOD = 1; drzewo[p].dodMod = drzewo[p].dodBez = a[i]; } else { int gran = -1; if (a[i] != 0) gran = (a[i]-1)/(b[i]-1); drzewo[p].granX = gran; drzewo[p].mnozMOD = drzewo[p].mnozBez = b[i]; drzewo[p].dodMod = drzewo[p].dodBez = 0; } } //cout << rozm; for (int i = n; i < rozm; i++) { drzewo[i + rozm] = {-1, 1, 0, 1, 0}; } for (int i = rozm - 1; i >= 1; i--) { drzewo[i] = merge(drzewo[2*i], drzewo[2*i+1]); } } void lazyNode (Node &tree, pyt&curr) { curr.wynMOD = (curr.wynMOD*tree.mnozMOD+tree.dodMod)%MOD; if (curr.wynBez != MOD) { ll tym = curr.wynBez*tree.mnozBez+tree.dodBez; if (tym >= MOD) curr.wynBez = MOD; else curr.wynBez = tym; } } void lazyLisc (Node &tree, pyt &curr, int p) { ll aCurr = a[p], bCurr = b[p]; if (bCurr == 1) { curr.wynMOD = (curr.wynMOD+aCurr)%MOD; curr.wynBez = (curr.wynBez+aCurr); if (curr.wynBez > MOD) curr.wynBez = MOD; return; } int gran = -1; if (aCurr != 0) gran = (aCurr-1)/(bCurr-1); if (curr.wynBez == MOD || curr.wynBez > gran) { curr.wynMOD = (curr.wynMOD*bCurr)%MOD; curr.wynBez = curr.wynBez*bCurr; if (curr.wynBez > MOD) curr.wynBez = MOD; } else { curr.wynMOD = (curr.wynMOD+aCurr)%MOD; curr.wynBez = curr.wynBez+aCurr; if (curr.wynBez > MOD) curr.wynBez = MOD; } //cout << curr.wynBez << " " << curr.wynMOD << "\n"; } void query (int p, int l, int r, int ql, int qr, pyt &curr, int &n) { if (l >= qr || r <= ql) return; if (l >= ql && r <= qr && (curr.wynBez == MOD || curr.wynBez > drzewo[p].granX)) { lazyNode(drzewo[p],curr); return; } if (r == l+1) { if (l < n) lazyLisc(drzewo[p],curr,l); return; } int mid = (l+r)/2; query(p*2,l,mid,ql,qr,curr,n); query(p*2+1,mid,r,ql,qr, curr,n); } int main () { ios_base::sync_with_stdio(0); cin.tie(0); int n,q; cin >> n >> q; a.resize(n); b.resize(n); int rozm = 1; while (rozm <= n) rozm*=2; drzewo.resize(2*rozm); for (int i = 0; i < n; i++) { cin >> a[i] >> b[i]; } build(rozm,n); while (q--) { ll x,l,r; cin >> x >> l >> r; pyt tym = {x,x}; query(1,0,rozm,l,r,tym,n); cout << tym.wynMOD%MOD << "\n"; } return 0; } |
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