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Submission #1118451

# Submission time Handle Problem Language Result Execution time Memory
1118451 2024-11-25T13:58:03 Z Tenis0206 Sprinklers (CEOI24_sprinklers) C++11
100 / 100
 214 ms 4408 KB 
#include <bits/stdc++.h>

using namespace std;

const int nmax = 1e5;

int n,m;
int s[nmax + 5], f[nmax + 5];

int dp[nmax + 5];

char dir[nmax + 5], dirm[nmax + 5];
int l[nmax + 5];

char r[nmax + 5];

int count_flowers(int l, int r)
{
    if(l > r)
    {
        return 0;
    }
    int st = 1;
    int dr = m;
    int poz_l = 0, poz_r = 0;
    while(st <= dr)
    {
        int mij = (st + dr) >> 1;
        if(f[mij] >= l)
        {
            poz_l = mij;
            dr = mij - 1;
        }
        else
        {
            st = mij + 1;
        }
    }
    st = 1;
    dr = m;
    while(st <= dr)
    {
        int mij = (st + dr) >> 1;
        if(f[mij] <= r)
        {
            poz_r = mij;
            st = mij + 1;
        }
        else
        {
            dr = mij - 1;
        }
    }
    if(poz_l == 0 || poz_r == 0)
    {
        return 0;
    }
    return (poz_r - poz_l + 1);
}

int search_last(int val)
{
    int st = 1;
    int dr = n;
    int poz = 0;
    while(st <= dr)
    {
        int mij = (st + dr) >> 1;
        if(s[mij] >= val)
        {
            poz = mij;
            dr = mij - 1;
        }
        else
        {
            st = mij + 1;
        }
    }
    return poz;
}

bool ok(int k)
{
    dp[0] = -1;
    for(int i=1;i<=n;i++)
    {
        if(count_flowers(dp[i - 1] + 1, s[i] - 1) == 0)
        {
            dp[i] = s[i] + k;
            dir[i] = 'R';
            l[i] = i;
            continue;
        }
        dir[i] = 'L';
        int poz = search_last(s[i] - k);
        l[i] = poz;
        if(poz == i)
        {
            if(count_flowers(dp[i - 1] + 1, s[i] - k - 1) == 0)
            {
                dp[i] = s[i];
            }
            else
            {
                dp[i] = -1;
            }
        }
        else if(poz == i - 1)
        {
            if(count_flowers(dp[i - 2] + 1, s[i] - k - 1) == 0)
            {
                dirm[i] = 'R';
                dp[i] = s[i - 1] + k;
            }
            else if(count_flowers(dp[i - 2] + 1, s[i - 1] - k - 1) == 0)
            {
                dirm[i] = 'L';
                dp[i] = s[i];
            }
            else
            {
                dp[i] = -1;
            }
        }
        else
        {
            if(count_flowers(dp[poz - 1] + 1, s[poz] - k - 1) == 0)
            {
                dp[i] = s[i - 1] + k;
            }
            else
            {
                dp[i] = -1;
            }
        }
    }
    return (dp[n] >= f[m]);
}

signed main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    #ifdef home
    freopen("nr.in","r",stdin);
    freopen("nr.out","w",stdout);
    #endif // home
    cin>>n>>m;
    for(int i=1;i<=n;i++)
    {
        cin>>s[i];
    }
    for(int i=1;i<=m;i++)
    {
        cin>>f[i];
    }
    int st = 0;
    int dr = 1e9;
    int rez = -1;
    while(st <= dr)
    {
        int mij = (st + dr) >> 1;
        if(ok(mij))
        {
            rez = mij;
            dr = mij - 1;
        }
        else
        {
            st = mij + 1;
        }
    }
    cout<<rez<<'\n';
    if(rez == -1)
    {
        return 0;
    }
    ok(rez);
    int poz = n;
    while(poz >= 1)
    {
        r[poz] = dir[poz];
        if(l[poz] == poz - 1)
        {
            r[poz - 1] = dirm[poz];
        }
        else if(l[poz] != poz)
        {
            r[poz - 1] = 'R';
            for(int j=poz-2;j>=l[poz];j--)
            {
                r[j] = 'L';
            }
        }
        poz = l[poz] - 1;
    }
    for(int i=1;i<=n;i++)
    {
        cout<<r[i];
    }
    cout<<'\n';
    return 0;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Correct
2 Correct 1 ms 348 KB Correct

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Correct
2 Correct 6 ms 604 KB Correct
3 Correct 1 ms 344 KB Correct
4 Correct 10 ms 868 KB Correct
5 Correct 12 ms 816 KB Correct
6 Correct 1 ms 348 KB Correct
7 Correct 1 ms 348 KB Correct
8 Correct 3 ms 348 KB Correct
9 Correct 1 ms 336 KB Correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Correct
2 Correct 14 ms 848 KB Correct
3 Correct 10 ms 604 KB Correct
4 Correct 97 ms 2120 KB Correct
5 Correct 61 ms 2128 KB Correct
6 Correct 1 ms 336 KB Correct
7 Correct 1 ms 336 KB Correct
8 Correct 156 ms 2120 KB Correct
9 Correct 214 ms 2136 KB Correct
10 Correct 33 ms 2140 KB Correct
11 Correct 33 ms 1876 KB Correct
12 Correct 41 ms 1328 KB Correct
13 Correct 49 ms 2132 KB Correct
14 Correct 101 ms 2116 KB Correct
15 Correct 80 ms 2096 KB Correct
16 Correct 48 ms 1996 KB Correct

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Correct
2 Correct 1 ms 348 KB Correct
3 Correct 1 ms 336 KB Correct
4 Correct 1 ms 340 KB Correct
5 Correct 1 ms 336 KB Correct
6 Correct 1 ms 336 KB Correct
7 Correct 1 ms 336 KB Correct
8 Correct 1 ms 476 KB Correct
9 Correct 1 ms 336 KB Correct
10 Correct 2 ms 336 KB Correct
11 Correct 1 ms 336 KB Correct
12 Correct 1 ms 336 KB Correct
13 Correct 1 ms 336 KB Correct
14 Correct 1 ms 352 KB Correct
15 Correct 1 ms 352 KB Correct
16 Correct 1 ms 352 KB Correct
17 Correct 1 ms 352 KB Correct
18 Correct 1 ms 352 KB Correct
19 Correct 1 ms 352 KB Correct
20 Correct 1 ms 352 KB Correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Correct
2 Correct 49 ms 1024 KB Correct
3 Correct 183 ms 2244 KB Correct
4 Correct 209 ms 2216 KB Correct
5 Correct 209 ms 2376 KB Correct
6 Correct 182 ms 2376 KB Correct
7 Correct 213 ms 2376 KB Correct
8 Correct 190 ms 2376 KB Correct
9 Correct 206 ms 4168 KB Correct
10 Correct 195 ms 4408 KB Correct
11 Correct 200 ms 4176 KB Correct
12 Correct 1 ms 336 KB Correct
13 Correct 1 ms 336 KB Correct
14 Correct 55 ms 2880 KB Correct
15 Correct 53 ms 2888 KB Correct
16 Correct 57 ms 2888 KB Correct
17 Correct 21 ms 2896 KB Correct
18 Correct 25 ms 2896 KB Correct
19 Correct 22 ms 3152 KB Correct
20 Correct 118 ms 3900 KB Correct
21 Correct 117 ms 3760 KB Correct
22 Correct 74 ms 3752 KB Correct
23 Correct 70 ms 3572 KB Correct
24 Correct 39 ms 3400 KB Correct
25 Correct 25 ms 3408 KB Correct
26 Correct 73 ms 2480 KB Correct
27 Correct 81 ms 1792 KB Correct
28 Correct 62 ms 3144 KB Correct
29 Correct 51 ms 3152 KB Correct
30 Correct 54 ms 3144 KB Correct
31 Correct 105 ms 3144 KB Correct

Subtask #5
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Correct
2 Correct 1 ms 348 KB Correct
3 Correct 6 ms 604 KB Correct
4 Correct 1 ms 344 KB Correct
5 Correct 10 ms 868 KB Correct
6 Correct 12 ms 816 KB Correct
7 Correct 1 ms 348 KB Correct
8 Correct 1 ms 348 KB Correct
9 Correct 3 ms 348 KB Correct
10 Correct 1 ms 336 KB Correct
11 Correct 14 ms 848 KB Correct
12 Correct 10 ms 604 KB Correct
13 Correct 97 ms 2120 KB Correct
14 Correct 61 ms 2128 KB Correct
15 Correct 1 ms 336 KB Correct
16 Correct 1 ms 336 KB Correct
17 Correct 156 ms 2120 KB Correct
18 Correct 214 ms 2136 KB Correct
19 Correct 33 ms 2140 KB Correct
20 Correct 33 ms 1876 KB Correct
21 Correct 41 ms 1328 KB Correct
22 Correct 49 ms 2132 KB Correct
23 Correct 101 ms 2116 KB Correct
24 Correct 80 ms 2096 KB Correct
25 Correct 48 ms 1996 KB Correct
26 Correct 1 ms 336 KB Correct
27 Correct 1 ms 340 KB Correct
28 Correct 1 ms 336 KB Correct
29 Correct 1 ms 336 KB Correct
30 Correct 1 ms 336 KB Correct
31 Correct 1 ms 476 KB Correct
32 Correct 1 ms 336 KB Correct
33 Correct 2 ms 336 KB Correct
34 Correct 1 ms 336 KB Correct
35 Correct 1 ms 336 KB Correct
36 Correct 1 ms 336 KB Correct
37 Correct 1 ms 352 KB Correct
38 Correct 1 ms 352 KB Correct
39 Correct 1 ms 352 KB Correct
40 Correct 1 ms 352 KB Correct
41 Correct 1 ms 352 KB Correct
42 Correct 1 ms 352 KB Correct
43 Correct 1 ms 352 KB Correct
44 Correct 49 ms 1024 KB Correct
45 Correct 183 ms 2244 KB Correct
46 Correct 209 ms 2216 KB Correct
47 Correct 209 ms 2376 KB Correct
48 Correct 182 ms 2376 KB Correct
49 Correct 213 ms 2376 KB Correct
50 Correct 190 ms 2376 KB Correct
51 Correct 206 ms 4168 KB Correct
52 Correct 195 ms 4408 KB Correct
53 Correct 200 ms 4176 KB Correct
54 Correct 1 ms 336 KB Correct
55 Correct 1 ms 336 KB Correct
56 Correct 55 ms 2880 KB Correct
57 Correct 53 ms 2888 KB Correct
58 Correct 57 ms 2888 KB Correct
59 Correct 21 ms 2896 KB Correct
60 Correct 25 ms 2896 KB Correct
61 Correct 22 ms 3152 KB Correct
62 Correct 118 ms 3900 KB Correct
63 Correct 117 ms 3760 KB Correct
64 Correct 74 ms 3752 KB Correct
65 Correct 70 ms 3572 KB Correct
66 Correct 39 ms 3400 KB Correct
67 Correct 25 ms 3408 KB Correct
68 Correct 73 ms 2480 KB Correct
69 Correct 81 ms 1792 KB Correct
70 Correct 62 ms 3144 KB Correct
71 Correct 51 ms 3152 KB Correct
72 Correct 54 ms 3144 KB Correct
73 Correct 105 ms 3144 KB Correct
74 Correct 17 ms 1900 KB Correct
75 Correct 121 ms 4352 KB Correct
76 Correct 59 ms 4168 KB Correct
77 Correct 2 ms 336 KB Correct
78 Correct 162 ms 4088 KB Correct
79 Correct 32 ms 4196 KB Correct
80 Correct 183 ms 4176 KB Correct
81 Correct 42 ms 2888 KB Correct
82 Correct 27 ms 2904 KB Correct
83 Correct 59 ms 2720 KB Correct
84 Correct 13 ms 1360 KB Correct
85 Correct 98 ms 3348 KB Correct
86 Correct 77 ms 3496 KB Correct
87 Correct 107 ms 3144 KB Correct
88 Correct 10 ms 1772 KB Correct
89 Correct 9 ms 1836 KB Correct