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>
using namespace std;
#define rep(i, a, b) for (int i = (a); i < (b); ++i)
#define per(i, a, b) for (int i = (b - 1); i >= (a); --i)
#define trav(a, x) for (auto &a : x)
#define all(x) x.begin(), x.end()
#define sz(x) x.size()
#define pb push_back
#define debug(x) cout << #x << " = " << x << endl
#define umap unordered_map
#define uset unordered_set
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<vi> vvi;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef vector<ll> vll;
typedef vector<pll> vpll;
const int INF = 1'000'000'007;
int main() {
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit);
int n, arr[100001];
set<ii> mx;
cin >> n;
rep(i, 0, n) {
cin >> arr[i + 1];
if(i)assert(arr[i + 1] - (--mx.end())->first <= 1);
mx.emplace(arr[i + 1], i + 1);
}
ll ans = 1;
vll dp(n + 1, 1), dp2(n + 1, 0);
per(i, 2, n + 1) {
mx.erase({arr[i], i});
int curmx = (--mx.end())->first;
rep(j, 1, i + 1) {
if (1 < j) dp2[j - 1] = (dp2[j - 1] + dp[j]) % INF;
if (j < i) dp2[j] = (dp2[j] + dp[j] * ll(j)) % INF;
}
ans = (ans + dp[curmx] * ll(arr[i] - 1)) % INF;
// trav(item, dp) cout << item << ' ';
// cout << endl;
dp.swap(dp2);
dp2.assign(n + 1, 0);
}
// trav(item, dp) cout << item << ' ';
// cout << endl;
cout << ans << endl;
return 0;
}
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