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 <iostream>
#include <bits/stdc++.h>
using namespace std;
#define a first
#define b second
#define pb push_back
typedef long long llo;
llo mod=1000007;
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
llo n;
cin>>n;
llo it[n];
for(llo i=0;i<n;i++){
cin>>it[i];
}
llo pre[n];
pre[0]=it[0];
for(llo i=1;i<n;i++){
pre[i]=max(pre[i-1],it[i]);
}
llo dp[n];
for(llo i=0;i<n;i++){
dp[i]=1;
}
llo tot=0;
for(llo i=n-1;i>=0;i--){
llo dp2[n];
if(it[i]<pre[i]){
tot+=(dp[pre[i]-1]*(pre[i]-it[i]));
}
if(i>0 and pre[i-1]<n){
if(it[i]!=pre[i-1]+1){
tot+=dp[pre[i-1]];
}
}
tot%=mod;
if(i==0){
tot=(dp[0]-tot+mod)%mod;
}
for(llo j=0;j<n;j++){
if(i==n-1){
if(j==n-1){
dp2[j]=n;
}
else{
dp2[j]=j+2;
}
}
else{
dp2[j]=(dp[j]*(j+1));
if(j<n-1){
dp2[j]+=dp[j+1];
}
dp2[j]%=mod;
}
}
for(llo j=0;j<n;j++){
dp[j]=dp2[j];
}
/* cout<<tot<<endl;
for(llo j=0;j<n;j++){
cout<<dp[j]<<" ";
}
cout<<endl;*/
}
cout<<tot<<endl;
return 0;
}
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