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Submission #1052927

# Submission time Handle Problem Language Result Execution time Memory
1052927 2024-08-11T06:08:20 Z vjudge1 Trains (BOI24_trains) C++17
100 / 100
 517 ms 288204 KB 
#include<bits/stdc++.h>

using namespace std;

const int mod = 1'000'000'007;
const int SQ = 300, N = 100'000 + 5;
vector<int> chains[SQ][SQ];
int n, d[N], x[N], cnt[N], tnt[N][SQ];

int main()
{
  cin >> n;
  for(int i = 1; i <= n; i ++)
    cin >> d[i] >> x[i];

  for(int i = n; i >= 1; i --)
      for(int j = 1; j < SQ; j++)
	chains[j][i % j].push_back(i);

  cnt[1] = 1;
  int ans = 0;

  for(int i = 1; i <= n; i ++)
    {
      for(int j = 1; j < SQ; j++)
	cnt[i] = (cnt[i] + tnt[i][j]) % mod;
      ans = (ans + cnt[i]) % mod;

      for(int j = 1; j < SQ; j++)
	{
	  chains[j][i % j].pop_back();
	  if(chains[j][i % j].size())
	    tnt[i + j][j] = (tnt[i + j][j] + tnt[i][j]) % mod;
	}
      
      if(d[i] == 0) continue;

      if(d[i] >= SQ)
	{
	  for(int k = i + d[i], m = 1; k <= n && m <= x[i]; k += d[i], m++)
	    cnt[k] = (cnt[i] + cnt[k]) % mod;
	}
      else
	{
	  x[i] = min(x[i], (n - i) / d[i]) + 1;
	  if(chains[d[i]][i % d[i]].size())
	    tnt[i + d[i]][d[i]] = (tnt[i + d[i]][d[i]] + cnt[i]) % mod;
	  if(x[i] * d[i] + i <= n)
	    tnt[x[i] * d[i] + i][d[i]] = (tnt[x[i] * d[i] + i][d[i]] + (mod - cnt[i]) % mod) % mod;
	}
    }
  
  cout << ans << endl;
  return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3932 KB Output is correct
2 Correct 1 ms 3932 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 3932 KB Output is correct
5 Correct 1 ms 4184 KB Output is correct
6 Correct 1 ms 3932 KB Output is correct
7 Correct 1 ms 3932 KB Output is correct
8 Correct 1 ms 3932 KB Output is correct
9 Correct 1 ms 3928 KB Output is correct
10 Correct 1 ms 3932 KB Output is correct
11 Correct 1 ms 4184 KB Output is correct
12 Correct 1 ms 3932 KB Output is correct
13 Correct 1 ms 3932 KB Output is correct
14 Correct 1 ms 3932 KB Output is correct
15 Correct 1 ms 3932 KB Output is correct
16 Correct 1 ms 3932 KB Output is correct
17 Correct 1 ms 3932 KB Output is correct
18 Correct 1 ms 3932 KB Output is correct
19 Correct 1 ms 3932 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3932 KB Output is correct
2 Correct 1 ms 3932 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 3932 KB Output is correct
5 Correct 1 ms 4184 KB Output is correct
6 Correct 1 ms 3932 KB Output is correct
7 Correct 1 ms 3932 KB Output is correct
8 Correct 1 ms 3932 KB Output is correct
9 Correct 1 ms 3928 KB Output is correct
10 Correct 1 ms 3932 KB Output is correct
11 Correct 1 ms 4184 KB Output is correct
12 Correct 1 ms 3932 KB Output is correct
13 Correct 1 ms 3932 KB Output is correct
14 Correct 1 ms 3932 KB Output is correct
15 Correct 1 ms 3932 KB Output is correct
16 Correct 1 ms 3932 KB Output is correct
17 Correct 1 ms 3932 KB Output is correct
18 Correct 1 ms 3932 KB Output is correct
19 Correct 1 ms 3932 KB Output is correct
20 Correct 52 ms 29048 KB Output is correct
21 Correct 19 ms 13148 KB Output is correct
22 Correct 55 ms 34436 KB Output is correct
23 Correct 37 ms 23356 KB Output is correct
24 Correct 25 ms 16604 KB Output is correct
25 Correct 49 ms 30992 KB Output is correct
26 Correct 27 ms 17748 KB Output is correct
27 Correct 46 ms 29728 KB Output is correct
28 Correct 55 ms 34392 KB Output is correct
29 Correct 54 ms 34460 KB Output is correct
30 Correct 55 ms 34520 KB Output is correct
31 Correct 55 ms 34416 KB Output is correct
32 Correct 60 ms 34368 KB Output is correct
33 Correct 56 ms 34496 KB Output is correct
34 Correct 51 ms 34388 KB Output is correct
35 Correct 54 ms 34388 KB Output is correct
36 Correct 55 ms 34384 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 3928 KB Output is correct
2 Correct 40 ms 23316 KB Output is correct
3 Correct 28 ms 17748 KB Output is correct
4 Correct 47 ms 29780 KB Output is correct
5 Correct 360 ms 231368 KB Output is correct
6 Correct 448 ms 288028 KB Output is correct
7 Correct 472 ms 287948 KB Output is correct
8 Correct 1 ms 3928 KB Output is correct
9 Correct 1 ms 3932 KB Output is correct
10 Correct 1 ms 3932 KB Output is correct
11 Correct 55 ms 34400 KB Output is correct
12 Correct 455 ms 287944 KB Output is correct
13 Correct 1 ms 4184 KB Output is correct
14 Correct 56 ms 34436 KB Output is correct
15 Correct 446 ms 288012 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 250 ms 144608 KB Output is correct
2 Correct 195 ms 124732 KB Output is correct
3 Correct 453 ms 287888 KB Output is correct
4 Correct 335 ms 212932 KB Output is correct
5 Correct 1 ms 3928 KB Output is correct
6 Correct 1 ms 3996 KB Output is correct
7 Correct 55 ms 34384 KB Output is correct
8 Correct 458 ms 287944 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3932 KB Output is correct
2 Correct 1 ms 3932 KB Output is correct
3 Correct 1 ms 3932 KB Output is correct
4 Correct 1 ms 3932 KB Output is correct
5 Correct 1 ms 4184 KB Output is correct
6 Correct 1 ms 3932 KB Output is correct
7 Correct 1 ms 3932 KB Output is correct
8 Correct 1 ms 3932 KB Output is correct
9 Correct 1 ms 3928 KB Output is correct
10 Correct 1 ms 3932 KB Output is correct
11 Correct 1 ms 4184 KB Output is correct
12 Correct 1 ms 3932 KB Output is correct
13 Correct 1 ms 3932 KB Output is correct
14 Correct 1 ms 3932 KB Output is correct
15 Correct 1 ms 3932 KB Output is correct
16 Correct 1 ms 3932 KB Output is correct
17 Correct 1 ms 3932 KB Output is correct
18 Correct 1 ms 3932 KB Output is correct
19 Correct 1 ms 3932 KB Output is correct
20 Correct 52 ms 29048 KB Output is correct
21 Correct 19 ms 13148 KB Output is correct
22 Correct 55 ms 34436 KB Output is correct
23 Correct 37 ms 23356 KB Output is correct
24 Correct 25 ms 16604 KB Output is correct
25 Correct 49 ms 30992 KB Output is correct
26 Correct 27 ms 17748 KB Output is correct
27 Correct 46 ms 29728 KB Output is correct
28 Correct 55 ms 34392 KB Output is correct
29 Correct 54 ms 34460 KB Output is correct
30 Correct 55 ms 34520 KB Output is correct
31 Correct 55 ms 34416 KB Output is correct
32 Correct 60 ms 34368 KB Output is correct
33 Correct 56 ms 34496 KB Output is correct
34 Correct 51 ms 34388 KB Output is correct
35 Correct 54 ms 34388 KB Output is correct
36 Correct 55 ms 34384 KB Output is correct
37 Correct 1 ms 3928 KB Output is correct
38 Correct 40 ms 23316 KB Output is correct
39 Correct 28 ms 17748 KB Output is correct
40 Correct 47 ms 29780 KB Output is correct
41 Correct 360 ms 231368 KB Output is correct
42 Correct 448 ms 288028 KB Output is correct
43 Correct 472 ms 287948 KB Output is correct
44 Correct 1 ms 3928 KB Output is correct
45 Correct 1 ms 3932 KB Output is correct
46 Correct 1 ms 3932 KB Output is correct
47 Correct 55 ms 34400 KB Output is correct
48 Correct 455 ms 287944 KB Output is correct
49 Correct 1 ms 4184 KB Output is correct
50 Correct 56 ms 34436 KB Output is correct
51 Correct 446 ms 288012 KB Output is correct
52 Correct 250 ms 144608 KB Output is correct
53 Correct 195 ms 124732 KB Output is correct
54 Correct 453 ms 287888 KB Output is correct
55 Correct 335 ms 212932 KB Output is correct
56 Correct 1 ms 3928 KB Output is correct
57 Correct 1 ms 3996 KB Output is correct
58 Correct 55 ms 34384 KB Output is correct
59 Correct 458 ms 287944 KB Output is correct
60 Correct 384 ms 245960 KB Output is correct
61 Correct 461 ms 288052 KB Output is correct
62 Correct 469 ms 288080 KB Output is correct
63 Correct 447 ms 287944 KB Output is correct
64 Correct 464 ms 287944 KB Output is correct
65 Correct 461 ms 287932 KB Output is correct
66 Correct 473 ms 287948 KB Output is correct
67 Correct 459 ms 288016 KB Output is correct
68 Correct 444 ms 287948 KB Output is correct
69 Correct 517 ms 288000 KB Output is correct
70 Correct 456 ms 288204 KB Output is correct
71 Correct 454 ms 287952 KB Output is correct
72 Correct 445 ms 287944 KB Output is correct