This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ll long long
#define MOD 1000000007
using namespace std;
ll n;
class RMQ{
ll seg,ini;
vector<ll> dat;
function<ll(ll,ll)> f;
public:
RMQ() : seg(1){}
void init(ll def,function<ll(ll,ll)> F){
ini = def;
f = F;
while(seg < n) seg *= 2;
dat.resize(seg * 2 - 1);
for(ll i = 0;i < seg * 2 - 1;i++) dat[i] = ini;
}
void update(ll i,ll x){
i += seg - 1;
dat[i] = x;
while(i){
i = (i - 1) / 2;
dat[i] = f(dat[i * 2 + 1],dat[i * 2 + 2]);
}
}
ll get(ll a){
return dat[a + seg - 1];
}
ll get(ll a,ll b){
ll ans = ini,pos = seg;
while(a != b){
if(a % 2) ans = f(ans,dat[pos - 1 + a++]);
if(b % 2) ans = f(ans,dat[pos - 1 + --b]);
pos /= 2;
a /= 2;
b /= 2;
}
return ans;
}
ll find(ll a,ll b,bool isl,ll k = 0,ll l = 0,ll r = -1){
if(b == -1) b = seg;
if(r == -1) r = seg;
if(dat[k] == 1 || b <= l || r <= a) return -1;
if(r - l == 1) return l;
if(isl){
ll ans = find(a,b,isl,k * 2 + 1,l,(l + r) / 2);
if(ans != -1) return ans;
return find(a,b,isl,k * 2 + 2,(l + r) / 2,r);
}else{
ll ans = find(a,b,isl,k * 2 + 2,(l + r) / 2,r);
if(ans != -1) return ans;
return find(a,b,isl,k * 2 + 1,l,(l + r) / 2);
}
}
};
RMQ rmq1,rmq2,seki;
ll calc(){
ll pos = n - 1,tmp = 1,ma = 0,ans;
while(pos > 0){
pos = rmq1.find(0,pos,false);
ll t = rmq1.get(pos);
if(tmp * t > 1000000000ll) break;
tmp *= t;
}
ans = seki.get(0,pos + 1);
tmp = 1;
while(pos < n - 1){
ll nxt = rmq1.find(pos + 1,-1,true);
ma = max(ma,tmp * rmq2.get(pos,nxt));
tmp *= rmq1.get(nxt);
pos = nxt;
}
return ma % MOD * ans % MOD;
}
ll init(int N,int x[],int y[]){
n = N + 2;
rmq1.init(0,[](ll a,ll b){ return max(a,b); });
rmq2.init(0,[](ll a,ll b){ return max(a,b); });
seki.init(1,[](ll a,ll b){ return a * b % MOD; });
rmq1.update(0,MOD);
rmq1.update(n - 1,MOD);
for(ll i = 0;i < n - 2;i++){
rmq1.update(i + 1,x[i]);
rmq2.update(i + 1,y[i]);
seki.update(i + 1,x[i]);
}
return calc();
}
ll updateX(int pos,int val){
rmq1.update(pos + 1,val);
seki.update(pos + 1,val);
return calc();
}
ll updateY(int pos,int val){
rmq2.update(pos + 1,val);
return calc();
}
/*signed main(){
int N,m,x[500010],y[500010];
cin >> N;
for(int i = 0;i < N;i++) cin >> x[i];
for(int i = 0;i < N;i++) cin >> y[i];
cin >> m;
cout << init(N,x,y) << endl;
for(int i = 0;i < m;i++){
int a,b,c;
cin >> a >> b >> c;
if(a == 1) cout << updateX(b,c) << endl;
else cout << updateY(b,c) << endl;
}
return 0;
}*/
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