Submission #1040488

# Submission time Handle Problem Language Result Execution time Memory
1040488 2024-08-01T05:57:35 Z isaachew Sprinklers (CEOI24_sprinklers) C++17
100 / 100
409 ms 8724 KB
#include <bits/stdc++.h>
/*
 DP flowers
 
 
 */
int main(){
    int n,m;
    std::cin>>n>>m;
    std::vector<int> sprinklers;
    std::vector<int> flowers;
    std::map<int,int> flowerinds;
    for(int i=0;i<n;i++){
        int x;
        std::cin>>x;
        sprinklers.push_back(x);
    }
    for(int i=0;i<m;i++){
        int x;
        std::cin>>x;
        flowers.push_back(x);
        flowerinds[x]=i;
    }
    flowerinds[2000000000]=m;
    int lower=0,upper=1000000002;
    while(1){
        int kval=(lower+upper)/2-1;
        if(lower+1>=upper){
            if(lower==1000000001){
                std::cout<<"-1\n";
                return 0;
            }else{
                kval=lower;
            }
        }
        std::vector<std::pair<int,int>> dp(n+1);
        for(int i=0;i<n;i++){
            std::pair<int,int> curval=dp[i];
            dp[i+1]=std::max(dp[i+1],{curval.first,0});//do nothing
            if(curval.first<m){
                if(flowers[curval.first]>=sprinklers[i]-kval){
                    dp[i+1]=std::max(dp[i+1],{flowerinds.upper_bound(sprinklers[i])->second,-1});//left
                }
                if(flowers[curval.first]>=sprinklers[i]){
                    dp[i+1]=std::max(dp[i+1],{flowerinds.upper_bound(sprinklers[i]+kval)->second,1});//right
                }
                if(i+1<n&&sprinklers[i]<=sprinklers[i]+kval){//RL (no holes)
                    if(flowers[curval.first]>=sprinklers[i+1]-kval){
                        dp[i+2]=std::max(dp[i+2],{flowerinds.upper_bound(sprinklers[i]+kval)->second,2});
                    }
                }
            }
        }
        if(lower+1>=upper){
            std::cout<<lower<<'\n';
            std::string rec(n,' ');
            int ind=n;
            while(ind){
                if(dp[ind].second==-1){
                    rec[ind-1]='L';
                    ind--;
                }else if(dp[ind].second==1){
                    rec[ind-1]='R';
                    ind--;
                }else if(dp[ind].second==2){//RL
                    rec[ind-1]='L';
                    rec[ind-2]='R';
                    ind-=2;
                }else{//don't care ("do nothing")
                    rec[ind-1]='L';
                    ind--;
                }
            }
            std::cout<<rec<<'\n';
            return 0;
        }
        if(dp.back().first==m){
            upper=kval+1;
        }else{
            lower=kval+1;
        }
    }
    
}


# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 0 ms 344 KB Correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 29 ms 4452 KB Correct
3 Correct 0 ms 348 KB Correct
4 Correct 32 ms 6452 KB Correct
5 Correct 33 ms 6348 KB Correct
6 Correct 0 ms 344 KB Correct
7 Correct 0 ms 436 KB Correct
8 Correct 6 ms 1552 KB Correct
9 Correct 0 ms 440 KB Correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 35 ms 4836 KB Correct
3 Correct 18 ms 856 KB Correct
4 Correct 300 ms 8632 KB Correct
5 Correct 298 ms 8724 KB Correct
6 Correct 0 ms 348 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 53 ms 5264 KB Correct
9 Correct 58 ms 5548 KB Correct
10 Correct 409 ms 7648 KB Correct
11 Correct 60 ms 2744 KB Correct
12 Correct 154 ms 6600 KB Correct
13 Correct 199 ms 5820 KB Correct
14 Correct 187 ms 6452 KB Correct
15 Correct 233 ms 6600 KB Correct
16 Correct 158 ms 5048 KB Correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 0 ms 344 KB Correct
3 Correct 1 ms 344 KB Correct
4 Correct 1 ms 344 KB Correct
5 Correct 1 ms 348 KB Correct
6 Correct 0 ms 348 KB Correct
7 Correct 0 ms 348 KB Correct
8 Correct 0 ms 348 KB Correct
9 Correct 0 ms 348 KB Correct
10 Correct 0 ms 424 KB Correct
11 Correct 0 ms 348 KB Correct
12 Correct 1 ms 600 KB Correct
13 Correct 0 ms 344 KB Correct
14 Correct 0 ms 348 KB Correct
15 Correct 0 ms 348 KB Correct
16 Correct 1 ms 440 KB Correct
17 Correct 1 ms 344 KB Correct
18 Correct 0 ms 392 KB Correct
19 Correct 0 ms 348 KB Correct
20 Correct 1 ms 348 KB Correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 70 ms 4956 KB Correct
3 Correct 318 ms 8428 KB Correct
4 Correct 316 ms 8648 KB Correct
5 Correct 309 ms 8232 KB Correct
6 Correct 318 ms 8320 KB Correct
7 Correct 307 ms 8364 KB Correct
8 Correct 327 ms 8468 KB Correct
9 Correct 336 ms 8392 KB Correct
10 Correct 324 ms 8308 KB Correct
11 Correct 322 ms 8544 KB Correct
12 Correct 0 ms 348 KB Correct
13 Correct 0 ms 348 KB Correct
14 Correct 65 ms 2704 KB Correct
15 Correct 86 ms 2744 KB Correct
16 Correct 85 ms 2632 KB Correct
17 Correct 35 ms 2648 KB Correct
18 Correct 50 ms 2896 KB Correct
19 Correct 96 ms 3616 KB Correct
20 Correct 257 ms 8120 KB Correct
21 Correct 274 ms 7940 KB Correct
22 Correct 245 ms 7496 KB Correct
23 Correct 254 ms 7604 KB Correct
24 Correct 186 ms 6008 KB Correct
25 Correct 191 ms 6112 KB Correct
26 Correct 115 ms 2640 KB Correct
27 Correct 110 ms 2996 KB Correct
28 Correct 209 ms 5856 KB Correct
29 Correct 173 ms 5236 KB Correct
30 Correct 188 ms 5576 KB Correct
31 Correct 232 ms 7760 KB Correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Correct
2 Correct 0 ms 344 KB Correct
3 Correct 29 ms 4452 KB Correct
4 Correct 0 ms 348 KB Correct
5 Correct 32 ms 6452 KB Correct
6 Correct 33 ms 6348 KB Correct
7 Correct 0 ms 344 KB Correct
8 Correct 0 ms 436 KB Correct
9 Correct 6 ms 1552 KB Correct
10 Correct 0 ms 440 KB Correct
11 Correct 35 ms 4836 KB Correct
12 Correct 18 ms 856 KB Correct
13 Correct 300 ms 8632 KB Correct
14 Correct 298 ms 8724 KB Correct
15 Correct 0 ms 348 KB Correct
16 Correct 0 ms 348 KB Correct
17 Correct 53 ms 5264 KB Correct
18 Correct 58 ms 5548 KB Correct
19 Correct 409 ms 7648 KB Correct
20 Correct 60 ms 2744 KB Correct
21 Correct 154 ms 6600 KB Correct
22 Correct 199 ms 5820 KB Correct
23 Correct 187 ms 6452 KB Correct
24 Correct 233 ms 6600 KB Correct
25 Correct 158 ms 5048 KB Correct
26 Correct 1 ms 344 KB Correct
27 Correct 1 ms 344 KB Correct
28 Correct 1 ms 348 KB Correct
29 Correct 0 ms 348 KB Correct
30 Correct 0 ms 348 KB Correct
31 Correct 0 ms 348 KB Correct
32 Correct 0 ms 348 KB Correct
33 Correct 0 ms 424 KB Correct
34 Correct 0 ms 348 KB Correct
35 Correct 1 ms 600 KB Correct
36 Correct 0 ms 344 KB Correct
37 Correct 0 ms 348 KB Correct
38 Correct 0 ms 348 KB Correct
39 Correct 1 ms 440 KB Correct
40 Correct 1 ms 344 KB Correct
41 Correct 0 ms 392 KB Correct
42 Correct 0 ms 348 KB Correct
43 Correct 1 ms 348 KB Correct
44 Correct 70 ms 4956 KB Correct
45 Correct 318 ms 8428 KB Correct
46 Correct 316 ms 8648 KB Correct
47 Correct 309 ms 8232 KB Correct
48 Correct 318 ms 8320 KB Correct
49 Correct 307 ms 8364 KB Correct
50 Correct 327 ms 8468 KB Correct
51 Correct 336 ms 8392 KB Correct
52 Correct 324 ms 8308 KB Correct
53 Correct 322 ms 8544 KB Correct
54 Correct 0 ms 348 KB Correct
55 Correct 0 ms 348 KB Correct
56 Correct 65 ms 2704 KB Correct
57 Correct 86 ms 2744 KB Correct
58 Correct 85 ms 2632 KB Correct
59 Correct 35 ms 2648 KB Correct
60 Correct 50 ms 2896 KB Correct
61 Correct 96 ms 3616 KB Correct
62 Correct 257 ms 8120 KB Correct
63 Correct 274 ms 7940 KB Correct
64 Correct 245 ms 7496 KB Correct
65 Correct 254 ms 7604 KB Correct
66 Correct 186 ms 6008 KB Correct
67 Correct 191 ms 6112 KB Correct
68 Correct 115 ms 2640 KB Correct
69 Correct 110 ms 2996 KB Correct
70 Correct 209 ms 5856 KB Correct
71 Correct 173 ms 5236 KB Correct
72 Correct 188 ms 5576 KB Correct
73 Correct 232 ms 7760 KB Correct
74 Correct 42 ms 5332 KB Correct
75 Correct 301 ms 8636 KB Correct
76 Correct 344 ms 8596 KB Correct
77 Correct 0 ms 348 KB Correct
78 Correct 59 ms 5252 KB Correct
79 Correct 343 ms 5560 KB Correct
80 Correct 62 ms 7608 KB Correct
81 Correct 71 ms 2712 KB Correct
82 Correct 85 ms 2728 KB Correct
83 Correct 81 ms 2640 KB Correct
84 Correct 42 ms 3800 KB Correct
85 Correct 215 ms 6428 KB Correct
86 Correct 266 ms 6568 KB Correct
87 Correct 234 ms 7764 KB Correct
88 Correct 32 ms 6356 KB Correct
89 Correct 32 ms 6420 KB Correct