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 ll long long
#define all(aaa) aaa.begin(), aaa.end()
const int N = 1005, MOD = 1e9 + 7;
int dp[N][3][3], a[N];
int calc() {
memset(dp, 0, sizeof(dp));
a[2] += a[1] / 2;
a[1] %= 2;
for (int i = 1; i < N - 1; i++) {
int x = min(a[i], a[i - 1]);
a[i] -= x;
a[i - 1] -= x;
a[i + 1] += x;
}
dp[N - 1][0][0] = 1;
for (int i = N - 1; i > 0; i--) {
for (int x = 0; x < 3; x++) {
for (int y = 0; y < 3; y++) {
if (a[i] + y > 2)
break;
for (int k = 0; k <= a[i] + y; k++) {
if (a[i] + y - k < 2 && x + k < 3) {
dp[i - 1][k][x + k] = (dp[i - 1][k][x + k] + dp[i][x][y]) % MOD;
}
}
}
}
}
return dp[0][0][0];
return 0;
}
signed main() {
#ifdef HOME
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
ios_base::sync_with_stdio(0);
cin.tie(0);
int n;
cin >> n;
for (int i = 0; i < n; i++) {
int x;
cin >> x;
a[x]++;
cout << calc() << "\n";
}
return 0;
}
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