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Submission #994585

# Submission time Handle Problem Language Result Execution time Memory
994585 2024-06-08T01:58:42 Z kym Trains (BOI24_trains) C++14
100 / 100
 186 ms 13312 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long 
#ifdef LOCAL
void debug_out() {cerr<<endl;}
template <typename Head, typename... Tail>
void debug_out(Head _H, Tail... _T) {cerr<<" "<<to_string(_H);debug_out(_T...);}
#define debug(...) cerr<<"["<<#__VA_ARGS__<<"]:",debug_out(__VA_ARGS__)
#else
#define debug(...)
#endif
const int MAXN = 100005;
const int inf=1000000500ll;
const long long oo =1000000000000000500ll;
const int MOD = (int)1e9+7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef pair<int,int> pi; 
const int sqn=400;
int n;
int D[MAXN], X[MAXN];
int dp[MAXN];
int R[1005][1005];
vector<array<int,3>> C[MAXN]; // at C_i, we need to remove x.first from x.second

int32_t main() 
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	cin >> n;
	dp[1]=1;
	for(int i=1;i<=n;i++){
		cin>>D[i]>>X[i];
	}
	int ans=0;
	for(int i=1;i<=n;i++){
		for(int r=1;r<=sqn;r++){
			dp[i]=(dp[i] + R[r][i%r])%MOD;
		}
		if(D[i] > sqn){
			for(int t=1;t<=X[i];t++){
				int idx=i+t*D[i];
				if(idx<=n){
					dp[idx] = (dp[idx] + dp[i])%MOD;
				} else{
					break;
				}
			}
		} else{
			if(D[i]){
				R[D[i]][i%D[i]]=(R[D[i]][i%D[i]]+dp[i])%MOD;
			int idx=min(n+1,i+X[i]*D[i]);
			C[idx].push_back({D[i],i%D[i],dp[i]});
			}
			
		}
		for(auto x:C[i]){
			R[x[0]][x[1]]=(R[x[0]][x[1]]-x[2]+MOD)%MOD;
		}
		ans=(ans+dp[i])%MOD;
	}
	cout<<ans;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8792 KB Output is correct
2 Correct 1 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 1 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 1 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 1 ms 8796 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8792 KB Output is correct
2 Correct 1 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 1 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 1 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 1 ms 8796 KB Output is correct
20 Correct 17 ms 9052 KB Output is correct
21 Correct 7 ms 9052 KB Output is correct
22 Correct 21 ms 9940 KB Output is correct
23 Correct 13 ms 9168 KB Output is correct
24 Correct 9 ms 9684 KB Output is correct
25 Correct 18 ms 9252 KB Output is correct
26 Correct 10 ms 9020 KB Output is correct
27 Correct 17 ms 9248 KB Output is correct
28 Correct 21 ms 9180 KB Output is correct
29 Correct 19 ms 9244 KB Output is correct
30 Correct 19 ms 9308 KB Output is correct
31 Correct 19 ms 8948 KB Output is correct
32 Correct 19 ms 9244 KB Output is correct
33 Correct 19 ms 9052 KB Output is correct
34 Correct 19 ms 9180 KB Output is correct
35 Correct 19 ms 9052 KB Output is correct
36 Correct 19 ms 9248 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 13 ms 9144 KB Output is correct
3 Correct 9 ms 9008 KB Output is correct
4 Correct 17 ms 9248 KB Output is correct
5 Correct 139 ms 11072 KB Output is correct
6 Correct 171 ms 12124 KB Output is correct
7 Correct 179 ms 12252 KB Output is correct
8 Correct 1 ms 8796 KB Output is correct
9 Correct 1 ms 8796 KB Output is correct
10 Correct 1 ms 8796 KB Output is correct
11 Correct 19 ms 9304 KB Output is correct
12 Correct 176 ms 12072 KB Output is correct
13 Correct 1 ms 8796 KB Output is correct
14 Correct 19 ms 9244 KB Output is correct
15 Correct 172 ms 13252 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 84 ms 10444 KB Output is correct
2 Correct 71 ms 10476 KB Output is correct
3 Correct 172 ms 11972 KB Output is correct
4 Correct 125 ms 11972 KB Output is correct
5 Correct 1 ms 8792 KB Output is correct
6 Correct 1 ms 8796 KB Output is correct
7 Correct 19 ms 9176 KB Output is correct
8 Correct 175 ms 13252 KB Output is correct

Subtask #5
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8792 KB Output is correct
2 Correct 1 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 1 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 1 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 1 ms 8796 KB Output is correct
20 Correct 17 ms 9052 KB Output is correct
21 Correct 7 ms 9052 KB Output is correct
22 Correct 21 ms 9940 KB Output is correct
23 Correct 13 ms 9168 KB Output is correct
24 Correct 9 ms 9684 KB Output is correct
25 Correct 18 ms 9252 KB Output is correct
26 Correct 10 ms 9020 KB Output is correct
27 Correct 17 ms 9248 KB Output is correct
28 Correct 21 ms 9180 KB Output is correct
29 Correct 19 ms 9244 KB Output is correct
30 Correct 19 ms 9308 KB Output is correct
31 Correct 19 ms 8948 KB Output is correct
32 Correct 19 ms 9244 KB Output is correct
33 Correct 19 ms 9052 KB Output is correct
34 Correct 19 ms 9180 KB Output is correct
35 Correct 19 ms 9052 KB Output is correct
36 Correct 19 ms 9248 KB Output is correct
37 Correct 1 ms 8796 KB Output is correct
38 Correct 13 ms 9144 KB Output is correct
39 Correct 9 ms 9008 KB Output is correct
40 Correct 17 ms 9248 KB Output is correct
41 Correct 139 ms 11072 KB Output is correct
42 Correct 171 ms 12124 KB Output is correct
43 Correct 179 ms 12252 KB Output is correct
44 Correct 1 ms 8796 KB Output is correct
45 Correct 1 ms 8796 KB Output is correct
46 Correct 1 ms 8796 KB Output is correct
47 Correct 19 ms 9304 KB Output is correct
48 Correct 176 ms 12072 KB Output is correct
49 Correct 1 ms 8796 KB Output is correct
50 Correct 19 ms 9244 KB Output is correct
51 Correct 172 ms 13252 KB Output is correct
52 Correct 84 ms 10444 KB Output is correct
53 Correct 71 ms 10476 KB Output is correct
54 Correct 172 ms 11972 KB Output is correct
55 Correct 125 ms 11972 KB Output is correct
56 Correct 1 ms 8792 KB Output is correct
57 Correct 1 ms 8796 KB Output is correct
58 Correct 19 ms 9176 KB Output is correct
59 Correct 175 ms 13252 KB Output is correct
60 Correct 144 ms 12004 KB Output is correct
61 Correct 173 ms 13312 KB Output is correct
62 Correct 180 ms 12112 KB Output is correct
63 Correct 169 ms 11976 KB Output is correct
64 Correct 171 ms 8796 KB Output is correct
65 Correct 186 ms 11548 KB Output is correct
66 Correct 171 ms 11972 KB Output is correct
67 Correct 171 ms 9584 KB Output is correct
68 Correct 174 ms 10444 KB Output is correct
69 Correct 178 ms 12452 KB Output is correct
70 Correct 168 ms 9296 KB Output is correct
71 Correct 168 ms 9296 KB Output is correct
72 Correct 169 ms 13256 KB Output is correct