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Submission #993551

# Submission time Handle Problem Language Result Execution time Memory
993551 2024-06-06T04:47:57 Z AlperenT_ Trains (BOI24_trains) C++17
100 / 100
 173 ms 274000 KB 
#include <bits/stdc++.h>
 
#pragma GCC optimize("O3,unroll-loops")
#define pb push_back
#define F first
#define S second 
#define all(a) a.begin(),a.end()
#define pii pair <int,int>
#define PII pair<pii , pii>
#define ld long double
#define int long long 
#define sz(v) (int)v.size()
#define rep(i , a , b) for(int i=a;i <= b;i++)
#define per(i, a , b) for(int i=a;i >= b;i--)
using namespace std ;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int maxn = 2e5+10  ,  N = 1e5 +1 , lg = 20 , maxq = 202 , sq = 333   , inf = 1e18  , maxk = 2022  , mod =1e9 + 7;
int s[maxn][sq+2] , d[maxn] , x[maxn] , ans[maxn] ; 
vector <int> vec[maxn] ; 

signed main(){
  ios_base::sync_with_stdio(false); cin.tie(0);   
  int n ;
  cin >> n ;
  rep(i , 1, n){
    cin >> d[i] >> x[i] ;
    if(d[i] <= sq && i+d[i]*(x[i] + 1) <= n){
      vec[i+d[i]*(x[i]+1)].pb(i); 
    }
  }
  per(i , n , 1){
    if(d[i] <= sq){
      ans[i] = (ans[i] + 1 + s[i+d[i]][d[i]] )%mod ; 
    }else{
      ans[i] =1 ;
      for(int j = 1 ; j <= x[i] && i+j*d[i] <= n ; j++){
        ans[i] = (ans[i] + ans[i+j*d[i]])%mod ;
      }
    }
    rep(j ,1  , sq){
      s[i][j] = (ans[i]+ s[i+j][j])%mod ;
    }
    for(int x : vec[i]){
      ans[x] = (ans[x] - s[i][d[x]] + mod)%mod ;
    }
  }
  cout << ans[1] << "\n" ;
}

/*

*/

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8792 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 1 ms 8796 KB Output is correct
4 Correct 1 ms 8796 KB Output is correct
5 Correct 1 ms 8796 KB Output is correct
6 Correct 1 ms 8796 KB Output is correct
7 Correct 1 ms 8796 KB Output is correct
8 Correct 1 ms 8796 KB Output is correct
9 Correct 1 ms 8796 KB Output is correct
10 Correct 2 ms 8796 KB Output is correct
11 Correct 1 ms 8796 KB Output is correct
12 Correct 1 ms 8796 KB Output is correct
13 Correct 1 ms 8796 KB Output is correct
14 Correct 1 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 1 ms 8796 KB Output is correct
17 Correct 1 ms 8796 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 8792 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8792 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 1 ms 8796 KB Output is correct
4 Correct 1 ms 8796 KB Output is correct
5 Correct 1 ms 8796 KB Output is correct
6 Correct 1 ms 8796 KB Output is correct
7 Correct 1 ms 8796 KB Output is correct
8 Correct 1 ms 8796 KB Output is correct
9 Correct 1 ms 8796 KB Output is correct
10 Correct 2 ms 8796 KB Output is correct
11 Correct 1 ms 8796 KB Output is correct
12 Correct 1 ms 8796 KB Output is correct
13 Correct 1 ms 8796 KB Output is correct
14 Correct 1 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 1 ms 8796 KB Output is correct
17 Correct 1 ms 8796 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 8792 KB Output is correct
20 Correct 9 ms 31576 KB Output is correct
21 Correct 4 ms 17496 KB Output is correct
22 Correct 10 ms 34908 KB Output is correct
23 Correct 7 ms 26716 KB Output is correct
24 Correct 8 ms 20616 KB Output is correct
25 Correct 10 ms 33112 KB Output is correct
26 Correct 5 ms 21596 KB Output is correct
27 Correct 9 ms 32232 KB Output is correct
28 Correct 10 ms 34908 KB Output is correct
29 Correct 10 ms 35932 KB Output is correct
30 Correct 11 ms 34924 KB Output is correct
31 Correct 13 ms 35220 KB Output is correct
32 Correct 11 ms 35932 KB Output is correct
33 Correct 11 ms 36184 KB Output is correct
34 Correct 11 ms 35960 KB Output is correct
35 Correct 10 ms 36092 KB Output is correct
36 Correct 10 ms 35068 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8796 KB Output is correct
2 Correct 7 ms 26736 KB Output is correct
3 Correct 5 ms 21596 KB Output is correct
4 Correct 9 ms 32216 KB Output is correct
5 Correct 104 ms 214156 KB Output is correct
6 Correct 133 ms 271972 KB Output is correct
7 Correct 142 ms 272212 KB Output is correct
8 Correct 2 ms 8796 KB Output is correct
9 Correct 1 ms 8796 KB Output is correct
10 Correct 2 ms 8796 KB Output is correct
11 Correct 11 ms 34908 KB Output is correct
12 Correct 134 ms 271816 KB Output is correct
13 Correct 2 ms 8792 KB Output is correct
14 Correct 10 ms 34908 KB Output is correct
15 Correct 137 ms 272020 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 134868 KB Output is correct
2 Correct 65 ms 113744 KB Output is correct
3 Correct 147 ms 271952 KB Output is correct
4 Correct 101 ms 196608 KB Output is correct
5 Correct 1 ms 8796 KB Output is correct
6 Correct 1 ms 8796 KB Output is correct
7 Correct 11 ms 34908 KB Output is correct
8 Correct 134 ms 272008 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8792 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 1 ms 8796 KB Output is correct
4 Correct 1 ms 8796 KB Output is correct
5 Correct 1 ms 8796 KB Output is correct
6 Correct 1 ms 8796 KB Output is correct
7 Correct 1 ms 8796 KB Output is correct
8 Correct 1 ms 8796 KB Output is correct
9 Correct 1 ms 8796 KB Output is correct
10 Correct 2 ms 8796 KB Output is correct
11 Correct 1 ms 8796 KB Output is correct
12 Correct 1 ms 8796 KB Output is correct
13 Correct 1 ms 8796 KB Output is correct
14 Correct 1 ms 8796 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 1 ms 8796 KB Output is correct
17 Correct 1 ms 8796 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 8792 KB Output is correct
20 Correct 9 ms 31576 KB Output is correct
21 Correct 4 ms 17496 KB Output is correct
22 Correct 10 ms 34908 KB Output is correct
23 Correct 7 ms 26716 KB Output is correct
24 Correct 8 ms 20616 KB Output is correct
25 Correct 10 ms 33112 KB Output is correct
26 Correct 5 ms 21596 KB Output is correct
27 Correct 9 ms 32232 KB Output is correct
28 Correct 10 ms 34908 KB Output is correct
29 Correct 10 ms 35932 KB Output is correct
30 Correct 11 ms 34924 KB Output is correct
31 Correct 13 ms 35220 KB Output is correct
32 Correct 11 ms 35932 KB Output is correct
33 Correct 11 ms 36184 KB Output is correct
34 Correct 11 ms 35960 KB Output is correct
35 Correct 10 ms 36092 KB Output is correct
36 Correct 10 ms 35068 KB Output is correct
37 Correct 1 ms 8796 KB Output is correct
38 Correct 7 ms 26736 KB Output is correct
39 Correct 5 ms 21596 KB Output is correct
40 Correct 9 ms 32216 KB Output is correct
41 Correct 104 ms 214156 KB Output is correct
42 Correct 133 ms 271972 KB Output is correct
43 Correct 142 ms 272212 KB Output is correct
44 Correct 2 ms 8796 KB Output is correct
45 Correct 1 ms 8796 KB Output is correct
46 Correct 2 ms 8796 KB Output is correct
47 Correct 11 ms 34908 KB Output is correct
48 Correct 134 ms 271816 KB Output is correct
49 Correct 2 ms 8792 KB Output is correct
50 Correct 10 ms 34908 KB Output is correct
51 Correct 137 ms 272020 KB Output is correct
52 Correct 68 ms 134868 KB Output is correct
53 Correct 65 ms 113744 KB Output is correct
54 Correct 147 ms 271952 KB Output is correct
55 Correct 101 ms 196608 KB Output is correct
56 Correct 1 ms 8796 KB Output is correct
57 Correct 1 ms 8796 KB Output is correct
58 Correct 11 ms 34908 KB Output is correct
59 Correct 134 ms 272008 KB Output is correct
60 Correct 108 ms 228096 KB Output is correct
61 Correct 134 ms 271952 KB Output is correct
62 Correct 170 ms 274000 KB Output is correct
63 Correct 130 ms 271952 KB Output is correct
64 Correct 146 ms 272020 KB Output is correct
65 Correct 164 ms 271956 KB Output is correct
66 Correct 141 ms 271952 KB Output is correct
67 Correct 148 ms 272032 KB Output is correct
68 Correct 155 ms 273488 KB Output is correct
69 Correct 173 ms 273748 KB Output is correct
70 Correct 141 ms 271940 KB Output is correct
71 Correct 145 ms 271952 KB Output is correct
72 Correct 143 ms 271956 KB Output is correct