This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
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#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define dbg(x) cout << #x << '=' << x << '\n';
#define ll long long
#define x first
#define y second
#define pi pair <int, int>
#define vi vector <int>
const ll mod = 1000007;
const ll nmax=100010;
#define int ll
int n, a[10010];
int dp[2][10010], mx, pr=-1;//idx, max, eq or not
int32_t main(){
ios_base :: sync_with_stdio(0); cin.tie(); cout.tie();
cin>>n;
for(int i=1; i<=n; i++) cin>>a[i];
dp[0][0]=0;
for(int i=1; i<=n; i++){
pr=max(pr, a[i-1]);
mx=max(mx+1, a[i]);
for(int v=0; v<=mx; v++) dp[1][v]=0;
for(int v=1; v<=mx; v++){
dp[1][v]+=(dp[0][v-1]+dp[0][v]*v)%mod;
dp[1][v]%=mod;
}
dp[1][pr]+=min(pr, a[i]-1);
if(pr+1<a[i]) dp[1][pr+1]++;
//dbg(i);
for(int v=1; v<=mx; v++){
dp[0][0]=0;
//cout<<v<<" "<<dp[1][v]<<endl;
dp[0][v]=dp[1][v];
}
}
int ans=0LL;
for(int i=1; i<=mx; i++) ans+=dp[1][i], ans%=mod;
cout<<(ans+1LL)%mod;
}
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