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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3.  
  4. void solve() {
  5. int n;
  6. cin >> n;
  7. vector<int> a(n + 1);
  8. for (int i = 1; i <= n; i++) cin >> a[i];
  9.  
  10. vector<int> bad(n + 1), left(n + 1, -1);
  11. for (int k = 1; k <= n; k++) {
  12. for (int j = 0; j < a[k]; j++) {
  13. int lo = k * j;
  14. if (lo > n - 1) break;
  15. int hi = min(lo + k, n) - 1;
  16. left[hi] = max(left[hi], lo);
  17. }
  18.  
  19. int lo = min(k * a[k], n);
  20. int hi = min(lo + k, n);
  21. bad[lo]++;
  22. bad[hi]--;
  23. }
  24. for (int i = 1; i <= n; i++) bad[i] += bad[i - 1];
  25.  
  26. vector<long long> dp(n);
  27. int preleft = -1;
  28. long long total = 1;
  29. const long long MOD = 1000000007;
  30. for (int i = 0; i < n; i++) {
  31. if (bad[i] == 0) {
  32. dp[i] = total;
  33. total = (total + dp[i]) % MOD;
  34. }
  35. int curleft = left[i];
  36. for (int j = preleft; j < curleft; j++) {
  37. if (j == -1) total--;
  38. else total -= dp[j];
  39. total = (total + MOD) % MOD;
  40. }
  41. preleft = max(preleft, curleft);
  42. }
  43.  
  44. cout << total << '\n';
  45. }
  46.  
  47. int main() {
  48. int t;
  49. cin >> t;
  50. while (t--) solve();
  51. }
  52.  
Success #stdin #stdout 0.46s 5316KB
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