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Submission #1109672

# Submission time Handle Problem Language Result Execution time Memory
1109672 2024-11-07T09:20:50 Z Pioneer Sprinklers (CEOI24_sprinklers) C++17
100 / 100
 1319 ms 6108 KB 
#include <bits/stdc++.h>

#pragma GCC optimize("Ofast")

#define ll long long
// #define int ll
#define all(v) v.begin(),v.end()
#define sz(s) ((int)s.size())
#define pb push_back
#define F first
#define S second
#define pii pair<int,int>
#define ppb pop_back
#define lb lower_bound
#define ub upper_bound

using namespace std;

const ll inf=1e18;
const int MAX=1e5+10;
const int MX=1e8;
const int mod=1e9+7;

int binpow(int a,int n){
    if(!n)return 1;
    if(n%2==1)return a*binpow(a,n-1)%mod;
    int k=binpow(a,n/2);
    return k*k%mod;
}

int n,m;
int s[MAX],f[MAX];
int dp[MAX][3];
int pr[MAX][3];
vector<int> vf;

bool check(int mid){
    memset(dp,-1,sizeof(dp));
    memset(pr,-1,sizeof(pr));
    for(int i=1;i<=n;i++){
        for(int j=0;j<3;j++){
            int k=i-1;
            if(ub(all(vf),dp[k][j])==vf.end()||vf[ub(all(vf),dp[k][j])-vf.begin()]>=s[i]){
                if(max(dp[k][j],s[i]+mid)>dp[i][0]){
                    pr[i][0]=j;
                    dp[i][0]=max(dp[k][j],s[i]+mid);
                }
            }
            if(ub(all(vf),dp[k][j])==vf.end()||vf[ub(all(vf),dp[k][j])-vf.begin()]>=s[i]-mid){
                if(max(dp[k][j],s[i])>dp[i][2]){
                    pr[i][2]=j;
                    dp[i][2]=max(dp[k][j],s[i]);
                }
            }
            k--;
            if(k<0)continue;
            if(s[i]-s[i-1]>mid){
                if(ub(all(vf),dp[k][j])==vf.end()||vf[ub(all(vf),dp[k][j])-vf.begin()]>=s[i-1]){
                    if(ub(all(vf),max(dp[k][j],s[i-1]+mid))==vf.end()||vf[ub(all(vf),max(dp[k][j],s[i-1]+mid))-vf.begin()]>=s[i]-mid){
                        if(max(dp[k][j],s[i])>dp[i][1]){
                            pr[i][1]=j;
                            dp[i][1]=max(dp[k][j],s[i]);
                        }            
                    } 
                }
            }
            else{
                if(ub(all(vf),dp[k][j])==vf.end()||vf[ub(all(vf),dp[k][j])-vf.begin()]>=s[i]-mid){
                    if(max(dp[k][j],s[i-1]+mid)>dp[i][1]){
                        pr[i][1]=j;
                        dp[i][1]=max(dp[k][j],s[i-1]+mid);
                    }
                }
            }
        }
        // for(int j=0;j<4;j++){
        //     if(dp[i][j]!=-1)cout<<i<<" "<<j<<" "<<dp[i][j]<<"\n";
        // }
    }
    for(int j=0;j<3;j++){
        // cout<<dp[n][j]<<"\n";
        if(dp[n][j]>=f[m])return 1;
    }
    return 0;
}

void solve(){
    cin>>n>>m;
    for(int i=1;i<=n;i++)cin>>s[i];
    for(int i=1;i<=m;i++){
        cin>>f[i];
        vf.pb(f[i]);
    }
    int l=0,r=1e9,res=-1;
    while(l<=r){
        int m=(l+r)/2;
        if(check(m)){
            r=m-1;
            res=m;
        }
        else l=m+1;
    }
    cout<<res<<"\n";
    if(res!=-1){
        check(res);
        int a=n,b=-1;
        string s;
        for(int k=0;k<3;k++)if(dp[n][k]>=f[n]){
            b=k;
            break;
        }
        while(a>0){
            if(b==0){
                b=pr[a][b];
                a--;
                s.pb('R');
            }
            else if(b==1){
                b=pr[a][b];
                a-=2;
                s.pb('L');
                s.pb('R');
            }
            else if(b==2){
                b=pr[a][b];
                a--;
                s.pb('L');
            }
        }
        reverse(all(s));
        cout<<s<<"\n";
    }
}

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int t=1;
    // cin>>t;
    while(t--)solve();
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2640 KB Correct
2 Correct 3 ms 2640 KB Correct

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2640 KB Correct
2 Correct 9 ms 3536 KB Correct
3 Correct 3 ms 2812 KB Correct
4 Correct 10 ms 3536 KB Correct
5 Correct 10 ms 3536 KB Correct
6 Correct 3 ms 2640 KB Correct
7 Correct 2 ms 2640 KB Correct
8 Correct 4 ms 3112 KB Correct
9 Correct 3 ms 2808 KB Correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2640 KB Correct
2 Correct 29 ms 3536 KB Correct
3 Correct 87 ms 2916 KB Correct
4 Correct 1014 ms 4188 KB Correct
5 Correct 1095 ms 4112 KB Correct
6 Correct 3 ms 2640 KB Correct
7 Correct 3 ms 2640 KB Correct
8 Correct 527 ms 4116 KB Correct
9 Correct 567 ms 4140 KB Correct
10 Correct 792 ms 4296 KB Correct
11 Correct 393 ms 3448 KB Correct
12 Correct 432 ms 3792 KB Correct
13 Correct 851 ms 3864 KB Correct
14 Correct 865 ms 3884 KB Correct
15 Correct 1004 ms 3792 KB Correct
16 Correct 758 ms 4040 KB Correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2640 KB Correct
2 Correct 3 ms 2640 KB Correct
3 Correct 3 ms 2640 KB Correct
4 Correct 3 ms 2640 KB Correct
5 Correct 3 ms 2640 KB Correct
6 Correct 3 ms 2640 KB Correct
7 Correct 3 ms 2640 KB Correct
8 Correct 3 ms 2640 KB Correct
9 Correct 3 ms 2640 KB Correct
10 Correct 3 ms 2640 KB Correct
11 Correct 3 ms 2640 KB Correct
12 Correct 3 ms 2640 KB Correct
13 Correct 3 ms 2640 KB Correct
14 Correct 3 ms 2640 KB Correct
15 Correct 3 ms 2640 KB Correct
16 Correct 3 ms 2640 KB Correct
17 Correct 3 ms 2640 KB Correct
18 Correct 3 ms 2640 KB Correct
19 Correct 3 ms 2640 KB Correct
20 Correct 3 ms 2640 KB Correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2640 KB Correct
2 Correct 192 ms 3784 KB Correct
3 Correct 1271 ms 4300 KB Correct
4 Correct 1306 ms 6088 KB Correct
5 Correct 1295 ms 6044 KB Correct
6 Correct 1290 ms 6044 KB Correct
7 Correct 1283 ms 6088 KB Correct
8 Correct 1300 ms 6088 KB Correct
9 Correct 1283 ms 6088 KB Correct
10 Correct 1310 ms 6044 KB Correct
11 Correct 1319 ms 6048 KB Correct
12 Correct 3 ms 2640 KB Correct
13 Correct 3 ms 2640 KB Correct
14 Correct 355 ms 4424 KB Correct
15 Correct 579 ms 4440 KB Correct
16 Correct 535 ms 4444 KB Correct
17 Correct 521 ms 4808 KB Correct
18 Correct 536 ms 4872 KB Correct
19 Correct 632 ms 5076 KB Correct
20 Correct 1085 ms 5656 KB Correct
21 Correct 1037 ms 5664 KB Correct
22 Correct 933 ms 5576 KB Correct
23 Correct 967 ms 5456 KB Correct
24 Correct 855 ms 5256 KB Correct
25 Correct 862 ms 5264 KB Correct
26 Correct 705 ms 4132 KB Correct
27 Correct 464 ms 3992 KB Correct
28 Correct 888 ms 4920 KB Correct
29 Correct 799 ms 4840 KB Correct
30 Correct 881 ms 4888 KB Correct
31 Correct 830 ms 5244 KB Correct

Subtask #5
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 2640 KB Correct
2 Correct 3 ms 2640 KB Correct
3 Correct 9 ms 3536 KB Correct
4 Correct 3 ms 2812 KB Correct
5 Correct 10 ms 3536 KB Correct
6 Correct 10 ms 3536 KB Correct
7 Correct 3 ms 2640 KB Correct
8 Correct 2 ms 2640 KB Correct
9 Correct 4 ms 3112 KB Correct
10 Correct 3 ms 2808 KB Correct
11 Correct 29 ms 3536 KB Correct
12 Correct 87 ms 2916 KB Correct
13 Correct 1014 ms 4188 KB Correct
14 Correct 1095 ms 4112 KB Correct
15 Correct 3 ms 2640 KB Correct
16 Correct 3 ms 2640 KB Correct
17 Correct 527 ms 4116 KB Correct
18 Correct 567 ms 4140 KB Correct
19 Correct 792 ms 4296 KB Correct
20 Correct 393 ms 3448 KB Correct
21 Correct 432 ms 3792 KB Correct
22 Correct 851 ms 3864 KB Correct
23 Correct 865 ms 3884 KB Correct
24 Correct 1004 ms 3792 KB Correct
25 Correct 758 ms 4040 KB Correct
26 Correct 3 ms 2640 KB Correct
27 Correct 3 ms 2640 KB Correct
28 Correct 3 ms 2640 KB Correct
29 Correct 3 ms 2640 KB Correct
30 Correct 3 ms 2640 KB Correct
31 Correct 3 ms 2640 KB Correct
32 Correct 3 ms 2640 KB Correct
33 Correct 3 ms 2640 KB Correct
34 Correct 3 ms 2640 KB Correct
35 Correct 3 ms 2640 KB Correct
36 Correct 3 ms 2640 KB Correct
37 Correct 3 ms 2640 KB Correct
38 Correct 3 ms 2640 KB Correct
39 Correct 3 ms 2640 KB Correct
40 Correct 3 ms 2640 KB Correct
41 Correct 3 ms 2640 KB Correct
42 Correct 3 ms 2640 KB Correct
43 Correct 3 ms 2640 KB Correct
44 Correct 192 ms 3784 KB Correct
45 Correct 1271 ms 4300 KB Correct
46 Correct 1306 ms 6088 KB Correct
47 Correct 1295 ms 6044 KB Correct
48 Correct 1290 ms 6044 KB Correct
49 Correct 1283 ms 6088 KB Correct
50 Correct 1300 ms 6088 KB Correct
51 Correct 1283 ms 6088 KB Correct
52 Correct 1310 ms 6044 KB Correct
53 Correct 1319 ms 6048 KB Correct
54 Correct 3 ms 2640 KB Correct
55 Correct 3 ms 2640 KB Correct
56 Correct 355 ms 4424 KB Correct
57 Correct 579 ms 4440 KB Correct
58 Correct 535 ms 4444 KB Correct
59 Correct 521 ms 4808 KB Correct
60 Correct 536 ms 4872 KB Correct
61 Correct 632 ms 5076 KB Correct
62 Correct 1085 ms 5656 KB Correct
63 Correct 1037 ms 5664 KB Correct
64 Correct 933 ms 5576 KB Correct
65 Correct 967 ms 5456 KB Correct
66 Correct 855 ms 5256 KB Correct
67 Correct 862 ms 5264 KB Correct
68 Correct 705 ms 4132 KB Correct
69 Correct 464 ms 3992 KB Correct
70 Correct 888 ms 4920 KB Correct
71 Correct 799 ms 4840 KB Correct
72 Correct 881 ms 4888 KB Correct
73 Correct 830 ms 5244 KB Correct
74 Correct 60 ms 4560 KB Correct
75 Correct 1077 ms 6052 KB Correct
76 Correct 1192 ms 6100 KB Correct
77 Correct 3 ms 2640 KB Correct
78 Correct 606 ms 6108 KB Correct
79 Correct 793 ms 6064 KB Correct
80 Correct 591 ms 6064 KB Correct
81 Correct 383 ms 4420 KB Correct
82 Correct 484 ms 4444 KB Correct
83 Correct 470 ms 4424 KB Correct
84 Correct 92 ms 3960 KB Correct
85 Correct 910 ms 5240 KB Correct
86 Correct 1046 ms 5276 KB Correct
87 Correct 825 ms 5240 KB Correct
88 Correct 11 ms 4560 KB Correct
89 Correct 15 ms 4452 KB Correct