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Submission #1037274

# Submission time Handle Problem Language Result Execution time Memory
1037274 2024-07-28T12:16:03 Z 12345678 Sprinklers (CEOI24_sprinklers) C++17
100 / 100
 130 ms 17416 KB 
#include <bits/stdc++.h>

using namespace std;

const int nx=1e5+5, mx=1e9+5, kx=10, bx=3;

int n, m, s[nx], f[nx], dr[nx], rv[nx][kx], l=0, r=1e9+5;
pair<int, int> dp[nx][kx];

bool solve(int x)
{
    for (int i=1; i<=n; i++) dr[i]=0;
    vector<int> vs(n+1), p, w;
    vector<pair<int, int>> range;
    p.push_back(0);
    for (int i=4; i<=n; i++)
    {
        if (!range.empty()&&range.back().second>=s[i]-1) vs[i]=1, range.back().second=s[i]+x;
        else if (s[i]-s[i-3]<=x) dr[i-3]=dr[i-1]=1, vs[i-3]=vs[i-2]=vs[i-1]=vs[i]=1, range.push_back({s[i-3]-x, s[i]+x});
    }
    for (int i=1; i<=n; i++) if (!vs[i]) p.push_back(i);
    int idx=0;
    for (int i=1; i<=m; i++)
    {
        while (idx<range.size()&&f[i]>range[idx].second) idx++;
        if (range.empty()||f[i]<range[idx].first||f[i]>range[idx].second) w.push_back(i);
    }
    w.push_back(m+1);
    vector<int> nxt(p.size()), nxtl(p.size());
    idx=0;
    for (int i=0; i<p.size(); i++)
    {
        while (f[w[idx]]<=s[p[i]]) idx++;
        nxt[i]=idx;
    }
    idx=0;
    for (int i=0; i<p.size(); i++)
    {
        while (f[w[idx]]<=s[p[i]]+x) idx++;
        nxtl[i]=idx;
    }
    if (p.size()==1) return (w.size()==1);
    for (int i=0; i<(1<<bx); i++) dp[0][i]={0, 0};
    for (int i=1; i<p.size(); i++)
    {
        for (int msk=0; msk<(1<<bx); msk++)
        {
            int a=msk/2, b=msk/2+(1<<(bx-1));
            if (dp[i-1][a].first<dp[i-1][b].first) swap(a, b);
            int loc=f[w[dp[i-1][a].first]];
            rv[i][msk]=a;
            if (msk&1)
            {
                if (loc>=s[p[i]]-x&&loc<=s[p[i]]) dp[i][msk]={max(dp[i-1][a].second, nxt[i]), max(dp[i-1][a].second, nxt[i])};
                else dp[i][msk]=dp[i-1][a];
            }
            else
            {
                if (loc>=s[p[i]]) dp[i][msk]={nxtl[i], nxtl[i]};
                else dp[i][msk]={dp[i-1][a].first, nxtl[i]};
            }
        }
    }
    for (int i=0; i<(1<<bx); i++) 
    {
        if (dp[p.size()-1][i].first==w.size()-1) 
        {
            int cur=i;
            for (int j=p.size()-1; j>0; j--) dr[p[j]]=cur%2, cur=rv[j][cur];
            return 1;
        }
    }
    return 0;
}

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n>>m;
    for (int i=1; i<=n; i++) cin>>s[i];
    for (int i=1; i<=m; i++) cin>>f[i];
    s[0]=-2e9;
    f[m+1]=INT_MAX;
    while (l<r)
    {
        int md=(l+r)/2;
        if (solve(md)) r=md;
        else l=md+1;
    }
    if (l==mx) return cout<<-1, 0;
    solve(l);
    cout<<l<<'\n';
    for (int i=1; i<=n; i++) cout<<(dr[i]?'L':'R');
}

Compilation message

Main.cpp: In function 'bool solve(int)':
Main.cpp:25:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   25 |         while (idx<range.size()&&f[i]>range[idx].second) idx++;
      |                ~~~^~~~~~~~~~~~~
Main.cpp:31:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   31 |     for (int i=0; i<p.size(); i++)
      |                   ~^~~~~~~~~
Main.cpp:37:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   37 |     for (int i=0; i<p.size(); i++)
      |                   ~^~~~~~~~~
Main.cpp:44:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   44 |     for (int i=1; i<p.size(); i++)
      |                   ~^~~~~~~~~
Main.cpp:66:36: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   66 |         if (dp[p.size()-1][i].first==w.size()-1)
      |             ~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Correct
2 Correct 0 ms 2508 KB Correct

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2508 KB Correct
2 Correct 28 ms 4180 KB Correct
3 Correct 1 ms 2392 KB Correct
4 Correct 25 ms 4524 KB Correct
5 Correct 25 ms 4528 KB Correct
6 Correct 1 ms 2396 KB Correct
7 Correct 0 ms 2396 KB Correct
8 Correct 5 ms 2936 KB Correct
9 Correct 0 ms 2396 KB Correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Correct
2 Correct 24 ms 4484 KB Correct
3 Correct 3 ms 2652 KB Correct
4 Correct 28 ms 5284 KB Correct
5 Correct 28 ms 5320 KB Correct
6 Correct 1 ms 2392 KB Correct
7 Correct 0 ms 2392 KB Correct
8 Correct 27 ms 5312 KB Correct
9 Correct 28 ms 5320 KB Correct
10 Correct 28 ms 5468 KB Correct
11 Correct 16 ms 4564 KB Correct
12 Correct 17 ms 4040 KB Correct
13 Correct 29 ms 9788 KB Correct
14 Correct 37 ms 12288 KB Correct
15 Correct 39 ms 12208 KB Correct
16 Correct 27 ms 11732 KB Correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Correct
2 Correct 0 ms 2508 KB Correct
3 Correct 1 ms 2396 KB Correct
4 Correct 0 ms 2396 KB Correct
5 Correct 0 ms 2396 KB Correct
6 Correct 1 ms 2396 KB Correct
7 Correct 1 ms 2396 KB Correct
8 Correct 1 ms 2396 KB Correct
9 Correct 0 ms 2396 KB Correct
10 Correct 1 ms 2396 KB Correct
11 Correct 1 ms 2392 KB Correct
12 Correct 1 ms 2396 KB Correct
13 Correct 1 ms 2396 KB Correct
14 Correct 1 ms 2396 KB Correct
15 Correct 1 ms 2396 KB Correct
16 Correct 0 ms 2396 KB Correct
17 Correct 1 ms 2396 KB Correct
18 Correct 0 ms 2396 KB Correct
19 Correct 1 ms 2396 KB Correct
20 Correct 1 ms 2396 KB Correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Correct
2 Correct 34 ms 7336 KB Correct
3 Correct 113 ms 17380 KB Correct
4 Correct 117 ms 17368 KB Correct
5 Correct 113 ms 17416 KB Correct
6 Correct 112 ms 17380 KB Correct
7 Correct 130 ms 17372 KB Correct
8 Correct 115 ms 17380 KB Correct
9 Correct 127 ms 17368 KB Correct
10 Correct 116 ms 17348 KB Correct
11 Correct 115 ms 17384 KB Correct
12 Correct 1 ms 2392 KB Correct
13 Correct 1 ms 2648 KB Correct
14 Correct 56 ms 15924 KB Correct
15 Correct 58 ms 16052 KB Correct
16 Correct 57 ms 15984 KB Correct
17 Correct 22 ms 3796 KB Correct
18 Correct 24 ms 4048 KB Correct
19 Correct 24 ms 4304 KB Correct
20 Correct 76 ms 16924 KB Correct
21 Correct 76 ms 16940 KB Correct
22 Correct 49 ms 14976 KB Correct
23 Correct 52 ms 15076 KB Correct
24 Correct 30 ms 4560 KB Correct
25 Correct 25 ms 4560 KB Correct
26 Correct 61 ms 14100 KB Correct
27 Correct 45 ms 11112 KB Correct
28 Correct 34 ms 11988 KB Correct
29 Correct 29 ms 11984 KB Correct
30 Correct 32 ms 11960 KB Correct
31 Correct 41 ms 14816 KB Correct

Subtask #5
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Correct
2 Correct 0 ms 2508 KB Correct
3 Correct 28 ms 4180 KB Correct
4 Correct 1 ms 2392 KB Correct
5 Correct 25 ms 4524 KB Correct
6 Correct 25 ms 4528 KB Correct
7 Correct 1 ms 2396 KB Correct
8 Correct 0 ms 2396 KB Correct
9 Correct 5 ms 2936 KB Correct
10 Correct 0 ms 2396 KB Correct
11 Correct 24 ms 4484 KB Correct
12 Correct 3 ms 2652 KB Correct
13 Correct 28 ms 5284 KB Correct
14 Correct 28 ms 5320 KB Correct
15 Correct 1 ms 2392 KB Correct
16 Correct 0 ms 2392 KB Correct
17 Correct 27 ms 5312 KB Correct
18 Correct 28 ms 5320 KB Correct
19 Correct 28 ms 5468 KB Correct
20 Correct 16 ms 4564 KB Correct
21 Correct 17 ms 4040 KB Correct
22 Correct 29 ms 9788 KB Correct
23 Correct 37 ms 12288 KB Correct
24 Correct 39 ms 12208 KB Correct
25 Correct 27 ms 11732 KB Correct
26 Correct 1 ms 2396 KB Correct
27 Correct 0 ms 2396 KB Correct
28 Correct 0 ms 2396 KB Correct
29 Correct 1 ms 2396 KB Correct
30 Correct 1 ms 2396 KB Correct
31 Correct 1 ms 2396 KB Correct
32 Correct 0 ms 2396 KB Correct
33 Correct 1 ms 2396 KB Correct
34 Correct 1 ms 2392 KB Correct
35 Correct 1 ms 2396 KB Correct
36 Correct 1 ms 2396 KB Correct
37 Correct 1 ms 2396 KB Correct
38 Correct 1 ms 2396 KB Correct
39 Correct 0 ms 2396 KB Correct
40 Correct 1 ms 2396 KB Correct
41 Correct 0 ms 2396 KB Correct
42 Correct 1 ms 2396 KB Correct
43 Correct 1 ms 2396 KB Correct
44 Correct 34 ms 7336 KB Correct
45 Correct 113 ms 17380 KB Correct
46 Correct 117 ms 17368 KB Correct
47 Correct 113 ms 17416 KB Correct
48 Correct 112 ms 17380 KB Correct
49 Correct 130 ms 17372 KB Correct
50 Correct 115 ms 17380 KB Correct
51 Correct 127 ms 17368 KB Correct
52 Correct 116 ms 17348 KB Correct
53 Correct 115 ms 17384 KB Correct
54 Correct 1 ms 2392 KB Correct
55 Correct 1 ms 2648 KB Correct
56 Correct 56 ms 15924 KB Correct
57 Correct 58 ms 16052 KB Correct
58 Correct 57 ms 15984 KB Correct
59 Correct 22 ms 3796 KB Correct
60 Correct 24 ms 4048 KB Correct
61 Correct 24 ms 4304 KB Correct
62 Correct 76 ms 16924 KB Correct
63 Correct 76 ms 16940 KB Correct
64 Correct 49 ms 14976 KB Correct
65 Correct 52 ms 15076 KB Correct
66 Correct 30 ms 4560 KB Correct
67 Correct 25 ms 4560 KB Correct
68 Correct 61 ms 14100 KB Correct
69 Correct 45 ms 11112 KB Correct
70 Correct 34 ms 11988 KB Correct
71 Correct 29 ms 11984 KB Correct
72 Correct 32 ms 11960 KB Correct
73 Correct 41 ms 14816 KB Correct
74 Correct 25 ms 4712 KB Correct
75 Correct 29 ms 7860 KB Correct
76 Correct 30 ms 7708 KB Correct
77 Correct 1 ms 2392 KB Correct
78 Correct 28 ms 5332 KB Correct
79 Correct 28 ms 5328 KB Correct
80 Correct 29 ms 5468 KB Correct
81 Correct 25 ms 11728 KB Correct
82 Correct 17 ms 6864 KB Correct
83 Correct 24 ms 6856 KB Correct
84 Correct 8 ms 2908 KB Correct
85 Correct 45 ms 12268 KB Correct
86 Correct 51 ms 12388 KB Correct
87 Correct 42 ms 14852 KB Correct
88 Correct 27 ms 4432 KB Correct
89 Correct 30 ms 4528 KB Correct