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Submission #888072

# Submission time Handle Problem Language Result Execution time Memory
888072 2023-12-15T22:14:28 Z amirhoseinfar1385 Collecting Stamps 3 (JOI20_ho_t3) C++17
100 / 100
 54 ms 145748 KB 
#include<bits/stdc++.h>
using namespace std;
const long long maxn=210,inf=1000000000000000;
pair<long long,long long>dp[maxn][maxn][maxn];
long long n,allx[maxn],allt[maxn],L;
long long res=0;
long long fas(long long a,long long b){
	 if (b <= a)
        return (a - b);
    return L - (b- a);
}

void upddp(long long l,long long r){
	//cout<<l<<" "<<r<<" "<<dp[l][r][0].first<<" "<<dp[l][r][0].second<<"\n";
	long long ll=(l-1)+n,rr=r+1;
	ll%=n;
	rr%=n;
	for(long long i=0;i<n;i++){
		if(dp[l][r][i].first!=inf){
			//cout<<l<<" "<<r<<" "<<i<<" "<<dp[l][r][i].first<<" "<<dp[l][r][i].second<<'\n';
			dp[ll][r][i].first=min(dp[ll][r][i].first,dp[l][r][i].first+fas(allx[l],allx[ll]));
			dp[ll][r][i].second=min(dp[ll][r][i].second,dp[ll][r][i].first+fas(allx[r],allx[ll]));
			if(fas(allx[l],allx[ll])+dp[l][r][i].first<=allt[ll]){
				dp[ll][r][i+1].first=min(dp[ll][r][i+1].first,dp[l][r][i].first+fas(allx[l],allx[ll]));
				dp[ll][r][i+1].second=min(dp[ll][r][i+1].second,dp[ll][r][i+1].first+fas(allx[r],allx[ll]));
				res=max(res,i+1);
			}
			dp[l][rr][i].second=min(dp[l][rr][i].second,dp[l][r][i].second+fas(allx[rr],allx[r]));
			dp[l][rr][i].first=min(dp[l][rr][i].first,dp[l][rr][i].second+fas(allx[rr],allx[l]));
			if(fas(allx[rr],allx[r])+dp[l][r][i].second<=allt[rr]){
				dp[l][rr][i+1].second=min(dp[l][rr][i+1].second,dp[l][r][i].second+fas(allx[rr],allx[r]));
				dp[l][rr][i+1].first=min(dp[l][rr][i+1].first,dp[l][rr][i+1].second+fas(allx[rr],allx[l]));
				res=max(res,i+1);
			}
		}
	}
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	for(long long i=0;i<maxn;i++){
		for(long long j=0;j<maxn;j++){
			for(long long h=0;h<maxn;h++){
				dp[i][j][h]=make_pair(inf,inf);
			}
		}
	}
	cin>>n>>L;
	for(long long i=0;i<n;i++){
		cin>>allx[i];
	}
	for(long long i=0;i<n;i++){
		cin>>allt[i];
	}
	if(n==1){
		if(min(allx[0],fas(0,allx[0]))<=allt[0]){
			cout<<1<<endl;
			return 0;
		}
		cout<<0<<endl;
		return 0;
	}
	if(allx[0]<=allt[0]){
		dp[0][0][0]=dp[0][0][1]=make_pair(allx[0],allx[0]);
		res=1;
	}
	else{
		dp[0][0][0]=make_pair(allx[0],allx[0]);
	}
	if(fas(0,allx[n-1])<=allt[n-1]){
		dp[n-1][n-1][0]=dp[n-1][n-1][1]=make_pair(fas(0,allx[n-1]),fas(0,allx[n-1]));
		res=1;
	}
	else{
		dp[n-1][n-1][0]=make_pair(fas(0,allx[n-1]),fas(0,allx[n-1]));
	}
	for(long long i=0;i<n-1;i++){
		for(long long l=n-1;l>=0;l--){
			upddp(l,(l+i)%n);
		}
	}
	cout<<res<<"\n";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 145236 KB Output is correct
2 Correct 20 ms 145232 KB Output is correct
3 Correct 20 ms 145240 KB Output is correct
4 Correct 21 ms 145380 KB Output is correct
5 Correct 21 ms 145240 KB Output is correct
6 Correct 20 ms 145236 KB Output is correct
7 Correct 21 ms 145268 KB Output is correct
8 Correct 20 ms 145244 KB Output is correct
9 Correct 21 ms 145164 KB Output is correct
10 Correct 20 ms 145240 KB Output is correct
11 Correct 20 ms 145244 KB Output is correct
12 Correct 22 ms 145244 KB Output is correct
13 Correct 21 ms 145244 KB Output is correct
14 Correct 20 ms 145244 KB Output is correct
15 Correct 21 ms 145300 KB Output is correct
16 Correct 20 ms 145244 KB Output is correct
17 Correct 20 ms 145204 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 145236 KB Output is correct
2 Correct 20 ms 145232 KB Output is correct
3 Correct 20 ms 145240 KB Output is correct
4 Correct 21 ms 145380 KB Output is correct
5 Correct 21 ms 145240 KB Output is correct
6 Correct 20 ms 145236 KB Output is correct
7 Correct 21 ms 145268 KB Output is correct
8 Correct 20 ms 145244 KB Output is correct
9 Correct 21 ms 145164 KB Output is correct
10 Correct 20 ms 145240 KB Output is correct
11 Correct 20 ms 145244 KB Output is correct
12 Correct 22 ms 145244 KB Output is correct
13 Correct 21 ms 145244 KB Output is correct
14 Correct 20 ms 145244 KB Output is correct
15 Correct 21 ms 145300 KB Output is correct
16 Correct 20 ms 145244 KB Output is correct
17 Correct 20 ms 145204 KB Output is correct
18 Correct 20 ms 145232 KB Output is correct
19 Correct 21 ms 145332 KB Output is correct
20 Correct 20 ms 145236 KB Output is correct
21 Correct 20 ms 145236 KB Output is correct
22 Correct 21 ms 145232 KB Output is correct
23 Correct 20 ms 145244 KB Output is correct
24 Correct 20 ms 145236 KB Output is correct
25 Correct 20 ms 145412 KB Output is correct
26 Correct 21 ms 145432 KB Output is correct
27 Correct 21 ms 145236 KB Output is correct
28 Correct 20 ms 145192 KB Output is correct
29 Correct 20 ms 145244 KB Output is correct
30 Correct 23 ms 145304 KB Output is correct
31 Correct 20 ms 145280 KB Output is correct
32 Correct 20 ms 145244 KB Output is correct
33 Correct 21 ms 145288 KB Output is correct
34 Correct 20 ms 145304 KB Output is correct
35 Correct 21 ms 145360 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 145236 KB Output is correct
2 Correct 20 ms 145232 KB Output is correct
3 Correct 20 ms 145240 KB Output is correct
4 Correct 21 ms 145380 KB Output is correct
5 Correct 21 ms 145240 KB Output is correct
6 Correct 20 ms 145236 KB Output is correct
7 Correct 21 ms 145268 KB Output is correct
8 Correct 20 ms 145244 KB Output is correct
9 Correct 21 ms 145164 KB Output is correct
10 Correct 20 ms 145240 KB Output is correct
11 Correct 20 ms 145244 KB Output is correct
12 Correct 22 ms 145244 KB Output is correct
13 Correct 21 ms 145244 KB Output is correct
14 Correct 20 ms 145244 KB Output is correct
15 Correct 21 ms 145300 KB Output is correct
16 Correct 20 ms 145244 KB Output is correct
17 Correct 20 ms 145204 KB Output is correct
18 Correct 41 ms 145232 KB Output is correct
19 Correct 32 ms 145236 KB Output is correct
20 Correct 25 ms 145244 KB Output is correct
21 Correct 31 ms 145240 KB Output is correct
22 Correct 35 ms 145236 KB Output is correct
23 Correct 25 ms 145240 KB Output is correct
24 Correct 23 ms 145416 KB Output is correct
25 Correct 25 ms 145296 KB Output is correct
26 Correct 22 ms 145244 KB Output is correct
27 Correct 25 ms 145304 KB Output is correct
28 Correct 23 ms 145316 KB Output is correct
29 Correct 25 ms 145236 KB Output is correct
30 Correct 26 ms 145364 KB Output is correct
31 Correct 26 ms 145428 KB Output is correct
32 Correct 23 ms 145232 KB Output is correct
33 Correct 24 ms 145244 KB Output is correct
34 Correct 22 ms 145292 KB Output is correct
35 Correct 23 ms 145244 KB Output is correct
36 Correct 22 ms 145348 KB Output is correct
37 Correct 24 ms 145244 KB Output is correct
38 Correct 22 ms 145244 KB Output is correct
39 Correct 25 ms 145444 KB Output is correct
40 Correct 23 ms 145444 KB Output is correct
41 Correct 49 ms 145236 KB Output is correct
42 Correct 32 ms 145236 KB Output is correct
43 Correct 48 ms 145420 KB Output is correct
44 Correct 33 ms 145232 KB Output is correct
45 Correct 49 ms 145416 KB Output is correct
46 Correct 35 ms 145488 KB Output is correct

Subtask #4
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 145236 KB Output is correct
2 Correct 20 ms 145232 KB Output is correct
3 Correct 20 ms 145240 KB Output is correct
4 Correct 21 ms 145380 KB Output is correct
5 Correct 21 ms 145240 KB Output is correct
6 Correct 20 ms 145236 KB Output is correct
7 Correct 21 ms 145268 KB Output is correct
8 Correct 20 ms 145244 KB Output is correct
9 Correct 21 ms 145164 KB Output is correct
10 Correct 20 ms 145240 KB Output is correct
11 Correct 20 ms 145244 KB Output is correct
12 Correct 22 ms 145244 KB Output is correct
13 Correct 21 ms 145244 KB Output is correct
14 Correct 20 ms 145244 KB Output is correct
15 Correct 21 ms 145300 KB Output is correct
16 Correct 20 ms 145244 KB Output is correct
17 Correct 20 ms 145204 KB Output is correct
18 Correct 20 ms 145232 KB Output is correct
19 Correct 21 ms 145332 KB Output is correct
20 Correct 20 ms 145236 KB Output is correct
21 Correct 20 ms 145236 KB Output is correct
22 Correct 21 ms 145232 KB Output is correct
23 Correct 20 ms 145244 KB Output is correct
24 Correct 20 ms 145236 KB Output is correct
25 Correct 20 ms 145412 KB Output is correct
26 Correct 21 ms 145432 KB Output is correct
27 Correct 21 ms 145236 KB Output is correct
28 Correct 20 ms 145192 KB Output is correct
29 Correct 20 ms 145244 KB Output is correct
30 Correct 23 ms 145304 KB Output is correct
31 Correct 20 ms 145280 KB Output is correct
32 Correct 20 ms 145244 KB Output is correct
33 Correct 21 ms 145288 KB Output is correct
34 Correct 20 ms 145304 KB Output is correct
35 Correct 21 ms 145360 KB Output is correct
36 Correct 41 ms 145232 KB Output is correct
37 Correct 32 ms 145236 KB Output is correct
38 Correct 25 ms 145244 KB Output is correct
39 Correct 31 ms 145240 KB Output is correct
40 Correct 35 ms 145236 KB Output is correct
41 Correct 25 ms 145240 KB Output is correct
42 Correct 23 ms 145416 KB Output is correct
43 Correct 25 ms 145296 KB Output is correct
44 Correct 22 ms 145244 KB Output is correct
45 Correct 25 ms 145304 KB Output is correct
46 Correct 23 ms 145316 KB Output is correct
47 Correct 25 ms 145236 KB Output is correct
48 Correct 26 ms 145364 KB Output is correct
49 Correct 26 ms 145428 KB Output is correct
50 Correct 23 ms 145232 KB Output is correct
51 Correct 24 ms 145244 KB Output is correct
52 Correct 22 ms 145292 KB Output is correct
53 Correct 23 ms 145244 KB Output is correct
54 Correct 22 ms 145348 KB Output is correct
55 Correct 24 ms 145244 KB Output is correct
56 Correct 22 ms 145244 KB Output is correct
57 Correct 25 ms 145444 KB Output is correct
58 Correct 23 ms 145444 KB Output is correct
59 Correct 49 ms 145236 KB Output is correct
60 Correct 32 ms 145236 KB Output is correct
61 Correct 48 ms 145420 KB Output is correct
62 Correct 33 ms 145232 KB Output is correct
63 Correct 49 ms 145416 KB Output is correct
64 Correct 35 ms 145488 KB Output is correct
65 Correct 43 ms 145428 KB Output is correct
66 Correct 41 ms 145244 KB Output is correct
67 Correct 41 ms 145240 KB Output is correct
68 Correct 40 ms 145448 KB Output is correct
69 Correct 42 ms 145240 KB Output is correct
70 Correct 45 ms 145240 KB Output is correct
71 Correct 40 ms 145244 KB Output is correct
72 Correct 47 ms 145244 KB Output is correct
73 Correct 37 ms 145244 KB Output is correct
74 Correct 41 ms 145232 KB Output is correct
75 Correct 38 ms 145496 KB Output is correct
76 Correct 47 ms 145244 KB Output is correct
77 Correct 45 ms 145244 KB Output is correct
78 Correct 42 ms 145496 KB Output is correct
79 Correct 39 ms 145232 KB Output is correct
80 Correct 46 ms 145244 KB Output is correct
81 Correct 37 ms 145328 KB Output is correct
82 Correct 38 ms 145244 KB Output is correct
83 Correct 47 ms 145244 KB Output is correct
84 Correct 43 ms 145748 KB Output is correct
85 Correct 41 ms 145240 KB Output is correct
86 Correct 42 ms 145424 KB Output is correct
87 Correct 41 ms 145244 KB Output is correct
88 Correct 54 ms 145428 KB Output is correct
89 Correct 48 ms 145280 KB Output is correct
90 Correct 36 ms 145492 KB Output is correct
91 Correct 50 ms 145232 KB Output is correct
92 Correct 49 ms 145428 KB Output is correct
93 Correct 38 ms 145288 KB Output is correct