#include<set>
#include<map>
#include<queue>
#include<vector>
#include<algorithm>
#include<bits/stdc++.h>
#define pr pair
#define f first
#define s second
#define ll long long
#define mp make_pair
#define pll pr<ll,ll>
#define pii pr<int,int>
#define piii pr<int,pii>
using namespace std;
const ll m=1e9+7;
ll pw(ll a,ll b=m-2)
{
ll r=1;
while(b)
{
if(b&1) r=r*a%m;
a=a*a%m;
b>>=1;
}
return r;
}
ll a[500005],b[500005];
int tr[500005];
ll ad[500005];
ll pk[500005],pb[500005];
int main()
{
ios_base::sync_with_stdio(0);
int n,q;
cin>>n>>q;
for(int i=0;i<n;i++) cin>>b[i]>>a[i];
tr[n]=n;
pk[n]=1;
for(int i=n-1;i>=0;i--) if(a[i]<=1)
{
tr[i]=tr[i+1];
ad[i]=ad[i+1]+b[i];
pk[i]=pk[i+1];
pb[i]=(pb[i+1]+pk[i+1]*b[i])%m;
}
else
{
tr[i]=i;
pk[i]=pk[i+1]*a[i]%m;
pb[i]=pb[i+1];
}
int l,r;
ll x;
while(q--)
{
cin>>x>>l>>r;
while(x<m&&l<r)
{
if(tr[l]>r) break;
if(tr[l]==l)
{
x=max(x*a[l],x+b[l]);
l++;
}
else
{
x+=ad[l];
l=tr[l];
}
}
x%=m;
ll g=pw(pk[r]);
ll ck=g*pk[l]%m;
ll cb=(pb[l]+m-pb[r])*g%m;
x=(x*ck+cb)%m;
cout<<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 | #include<set> #include<map> #include<queue> #include<vector> #include<algorithm> #include<bits/stdc++.h> #define pr pair #define f first #define s second #define ll long long #define mp make_pair #define pll pr<ll,ll> #define pii pr<int,int> #define piii pr<int,pii> using namespace std; const ll m=1e9+7; ll pw(ll a,ll b=m-2) { ll r=1; while(b) { if(b&1) r=r*a%m; a=a*a%m; b>>=1; } return r; } ll a[500005],b[500005]; int tr[500005]; ll ad[500005]; ll pk[500005],pb[500005]; int main() { ios_base::sync_with_stdio(0); int n,q; cin>>n>>q; for(int i=0;i<n;i++) cin>>b[i]>>a[i]; tr[n]=n; pk[n]=1; for(int i=n-1;i>=0;i--) if(a[i]<=1) { tr[i]=tr[i+1]; ad[i]=ad[i+1]+b[i]; pk[i]=pk[i+1]; pb[i]=(pb[i+1]+pk[i+1]*b[i])%m; } else { tr[i]=i; pk[i]=pk[i+1]*a[i]%m; pb[i]=pb[i+1]; } int l,r; ll x; while(q--) { cin>>x>>l>>r; while(x<m&&l<r) { if(tr[l]>r) break; if(tr[l]==l) { x=max(x*a[l],x+b[l]); l++; } else { x+=ad[l]; l=tr[l]; } } x%=m; ll g=pw(pk[r]); ll ck=g*pk[l]%m; ll cb=(pb[l]+m-pb[r])*g%m; x=(x*ck+cb)%m; cout<<x<<'\n'; } return 0; } |
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