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 maxn 10005
#define mod 1000007
#define ll long long
using namespace std;
int n;
int a[maxn];
ll dp[2][maxn];
int g[maxn];
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
cin>>n;
for(int i=1;i<=n;i++)cin>>a[i];
g[1]=1;
for(int i=2;i<=n;i++)g[i]=max(g[i-1],a[i]);
/*for(int d=1;d<n;d++)
{
for(int k=1;k+d<=n;k++)
{
if(d==1)dp[d][k]=k+1;
else
{
dp[d][k]=dp[d-1][k+1]+k*dp[d-1][k];
dp[d][k]%=mod;
}
}
}*/
/*for(int i=1;i<=n;i++)
{
for(int j=1;j<=n;j++)
{
cout<<dp[i][j]<<" ";
}
cout<<endl;
}*/
int prev=0;
int curr=1;
long long ans=0;
for(int i=n;i>=2;i--)
{
if(i!=n)
{
int d=n-i;
for(int k=1;k+d<=n;k++)
{
if(d==1)dp[curr][k]=k+1;
else
{
dp[curr][k]=dp[prev][k+1]+k*dp[prev][k];
dp[curr][k]%=mod;
}
}
}
ll br;
if(i==n)
{
br=1;
}
else if(g[i]==g[i-1])
{
br=dp[curr][g[i]];
}
else
{
br=dp[curr][g[i]-1];
}
ans+=(a[i]-1)*br;
ans%=mod;
swap(curr,prev);
}
cout<<(ans+1)%mod<<endl;
return 0;
}
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