// {{{
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
#define each(...) for (auto& __VA_ARGS__)
#define rep(i, b, e) for (int i = (b); i <= (e); i++)
#define rev(i, b, e) for (int i = (e); i >= (b); i--)
#define mp make_pair
#define mt make_tuple
#define x first
#define y second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define endl '\n'
#define tC template<class
#define $(x) #x<<'='<<(x)<<' '
using namespace std;
using ll = long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
using vb = vector<bool>;
using vi = vector<int>;
using vl = vector<ll>;
using vs = vector<string>;
using vpi = vector<pii>;
using vpl = vector<pll>;
using vvi = vector<vi>;
using vvl = vector<vl>;
tC T, class C=greater<T>> using min_priority_queue = priority_queue<T,vector<T>,C>;
tC T> int sz(const T& a) { return (int)a.size(); }
tC T> bool amin(T& a, T b) { return b < a ? a = b, 1 : 0; }
tC T> bool amax(T& a, T b) { return b > a ? a = b, 1 : 0; }
const int oo = 1e9+1;
const ll OO = ll(1e18)+1;
auto now() { return chrono::high_resolution_clock::now().time_since_epoch().count(); }
mt19937 rnd(4488);
tC T> T rand(T lo, T hi) { return uniform_int_distribution<T>{lo,hi}(rnd); }
struct Debug {
#ifdef SPONGE
tC T>Debug operator<<(const T& x) { cerr<<"\033[1;33m"<<x<<"\033[0m"; return *this; }
#else
tC T>Debug operator<<(const T&) { return *this; }
#endif
} dbg;
namespace { void solve(); }
// }}}
int main()
{
//freopen("input.txt","r",stdin);
//freopen("output.txt","w",stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.precision(15);
cout.setf(ios::fixed,ios::floatfield);
cerr.precision(15);
cerr.setf(ios::fixed,ios::floatfield);
//rnd.seed(now());
int t=1;
//cin>>t;
rep(i,1,t){
//cout<<"Case #"<<i<<": ";
solve();
}
}
namespace {
const int MAX=1<<20;
const int MOD=1e9+7;
int n,q;
int a[MAX],b[MAX];
int jump[MAX];
ll pref[MAX];
pll tree[MAX];
// function: f(t) = x*t + y;
// compose: g(f(x))
pll compose(pll f,pll g)
{
return { f.x*g.x%MOD, (g.x*f.y%MOD + g.y)%MOD };
}
pll pytaj(int l,int r)
{
l+=MAX/2;
r+=MAX/2;
pll fl=mp(1,0),fr=mp(1,0);
while(l<r){
if(l%2==1) fl=compose(fl,tree[l]);
if(r%2==0) fr=compose(tree[r],fr);
l=(l+1)/2;
r=(r-1)/2;
}
if(l==r) fl=compose(fl,tree[l]);
return compose(fl,fr);
}
void solve()
{
cin>>n>>q;
rep(i,1,n) cin>>a[i]>>b[i];
rep(i,1,n) pref[i]=pref[i-1]+a[i];
rev(i,1,n){
if(b[i]==1){
if(b[i+1]==1) jump[i]=jump[i+1];
else jump[i]=i;
}
}
rep(i,1,n){
if(b[i]==1) tree[i+MAX/2]=mp(1,a[i]);
else tree[i+MAX/2]=mp(b[i],0);
}
rev(i,1,MAX/2-1) tree[i]=compose(tree[2*i],tree[2*i+1]);
rep(i,1,q){
ll x;
int l,r;
cin>>x>>l>>r;
while(l<r && x<MOD){
if(b[l+1]==1){
int l_next=min(jump[l+1],r);
x+=pref[l_next]-pref[l];
l=l_next;
}
else{
x=max(b[l+1]*x,x+a[l+1]);
l++;
}
}
x=x%MOD;
pll f=pytaj(l+1,r);
x=(f.x*x%MOD+f.y)%MOD;
cout<<x<<endl;
}
}
}
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 | // {{{ #define _USE_MATH_DEFINES #include <bits/stdc++.h> #define each(...) for (auto& __VA_ARGS__) #define rep(i, b, e) for (int i = (b); i <= (e); i++) #define rev(i, b, e) for (int i = (e); i >= (b); i--) #define mp make_pair #define mt make_tuple #define x first #define y second #define pb push_back #define all(x) (x).begin(), (x).end() #define endl '\n' #define tC template<class #define $(x) #x<<'='<<(x)<<' ' using namespace std; using ll = long long; using pii = pair<int,int>; using pll = pair<ll,ll>; using vb = vector<bool>; using vi = vector<int>; using vl = vector<ll>; using vs = vector<string>; using vpi = vector<pii>; using vpl = vector<pll>; using vvi = vector<vi>; using vvl = vector<vl>; tC T, class C=greater<T>> using min_priority_queue = priority_queue<T,vector<T>,C>; tC T> int sz(const T& a) { return (int)a.size(); } tC T> bool amin(T& a, T b) { return b < a ? a = b, 1 : 0; } tC T> bool amax(T& a, T b) { return b > a ? a = b, 1 : 0; } const int oo = 1e9+1; const ll OO = ll(1e18)+1; auto now() { return chrono::high_resolution_clock::now().time_since_epoch().count(); } mt19937 rnd(4488); tC T> T rand(T lo, T hi) { return uniform_int_distribution<T>{lo,hi}(rnd); } struct Debug { #ifdef SPONGE tC T>Debug operator<<(const T& x) { cerr<<"\033[1;33m"<<x<<"\033[0m"; return *this; } #else tC T>Debug operator<<(const T&) { return *this; } #endif } dbg; namespace { void solve(); } // }}} int main() { //freopen("input.txt","r",stdin); //freopen("output.txt","w",stdout); ios_base::sync_with_stdio(0); cin.tie(0); cout.precision(15); cout.setf(ios::fixed,ios::floatfield); cerr.precision(15); cerr.setf(ios::fixed,ios::floatfield); //rnd.seed(now()); int t=1; //cin>>t; rep(i,1,t){ //cout<<"Case #"<<i<<": "; solve(); } } namespace { const int MAX=1<<20; const int MOD=1e9+7; int n,q; int a[MAX],b[MAX]; int jump[MAX]; ll pref[MAX]; pll tree[MAX]; // function: f(t) = x*t + y; // compose: g(f(x)) pll compose(pll f,pll g) { return { f.x*g.x%MOD, (g.x*f.y%MOD + g.y)%MOD }; } pll pytaj(int l,int r) { l+=MAX/2; r+=MAX/2; pll fl=mp(1,0),fr=mp(1,0); while(l<r){ if(l%2==1) fl=compose(fl,tree[l]); if(r%2==0) fr=compose(tree[r],fr); l=(l+1)/2; r=(r-1)/2; } if(l==r) fl=compose(fl,tree[l]); return compose(fl,fr); } void solve() { cin>>n>>q; rep(i,1,n) cin>>a[i]>>b[i]; rep(i,1,n) pref[i]=pref[i-1]+a[i]; rev(i,1,n){ if(b[i]==1){ if(b[i+1]==1) jump[i]=jump[i+1]; else jump[i]=i; } } rep(i,1,n){ if(b[i]==1) tree[i+MAX/2]=mp(1,a[i]); else tree[i+MAX/2]=mp(b[i],0); } rev(i,1,MAX/2-1) tree[i]=compose(tree[2*i],tree[2*i+1]); rep(i,1,q){ ll x; int l,r; cin>>x>>l>>r; while(l<r && x<MOD){ if(b[l+1]==1){ int l_next=min(jump[l+1],r); x+=pref[l_next]-pref[l]; l=l_next; } else{ x=max(b[l+1]*x,x+a[l+1]); l++; } } x=x%MOD; pll f=pytaj(l+1,r); x=(f.x*x%MOD+f.y)%MOD; cout<<x<<endl; } } } |
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