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Submission #978641

# Submission time Handle Problem Language Result Execution time Memory
978641 2024-05-09T12:16:08 Z vjudge1 Sprinkler (JOI22_sprinkler) C++17
41 / 100
 4000 ms 119384 KB 
#include <bits/stdc++.h>

using namespace std;

int n,L,q;
vector<int> g[200005],f[200005];
int t[200005];
int h[200005],tin[200005],curtin;
int v[200005],pos[200005];
int firstson[200005][45],lastson[200005][45];

void dfs(int nod)
{
    tin[nod] = ++curtin;
    for (auto vecin : g[nod])
    {
        if (vecin != t[nod])
        {
            t[vecin] = nod;
            f[nod].push_back(vecin);
            h[vecin] = 1 + h[nod];
            dfs(vecin);
        }
    }
}

bool cmp(int x,int y)
{
    if (h[x] != h[y])
        return h[x] < h[y];
    return tin[x] < tin[y];
}

int aint[800005];

void update(int nod,int l,int r,int st,int dr,int val)
{
    if (r < st or dr < l)
        return;
    if (st <= l and r <= dr)
    {
        aint[nod] = 1ll * aint[nod] * val % L;
        //cout << nod << ' ' << l << ' ' << r << ' ' << aint[nod] << endl;
        return;
    }
    int mij = (l + r) / 2;
    update(2 * nod,l,mij,st,dr,val);
    update(2 * nod + 1,mij + 1,r,st,dr,val);
}

int paint[200005];

void build(int nod,int l,int r)
{
    if (l == r)
        paint[l] = nod;
    else
    {
        int mij = (l + r) / 2;
        build(2 * nod,l,mij);
        build(2 * nod + 1,mij + 1,r);
    }
}

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    cin >> n >> L;
    for (int i = 1; i < n; i++)
    {
        int x,y;
        cin >> x >> y;
        g[x].push_back(y);
        g[y].push_back(x);
    }
    dfs(1);
    for (int i = 1; i <= n; i++)
        v[i] = i;
    sort(v + 1,v + n + 1,cmp);
    for (int i = 1; i <= n; i++)
        pos[v[i]] = i;
    for (int i = 1; i <= 4 * n; i++)
        aint[i] = 1;
    build(1,1,n);
    for (int i = 1; i <= n; i++)
    {
        int xx;
        cin >> xx;
        update(1,1,n,pos[i],pos[i],xx);
    }
    for (int i = 1; i <= n; i++)
    {
        int nod = i;
        for (int j = 0; j <= 40; j++)
        {
            if (firstson[nod][j] == 0 or pos[i] < pos[firstson[nod][j]])
                firstson[nod][j] = i;
            if (lastson[nod][j] == 0 or pos[i] > pos[lastson[nod][j]])
                lastson[nod][j] = i;
            nod = t[nod];
            if (nod == 0)
                break;
        }
    }
    cin >> q;
    for (int i = 1; i <= q; i++)
    {
        int tip;
        cin >> tip;
        if (tip == 1)
        {
            int x,d,w;
            cin >> x >> d >> w;
            vector<int> ruta;
            int nod = x;
            for (int j = 0; j <= min(d,h[x]); j++)
            {
                ruta.push_back(nod);
                nod = t[nod];
            }
            nod = ruta.back();
            ruta.pop_back();
            int dist = d - (h[x] - h[nod]);
            for (int j = 0; j <= dist; j++)
            {
                if (firstson[nod][j] == 0)
                    break;
                int lu = pos[firstson[nod][j]],ru = pos[lastson[nod][j]];
                update(1,1,n,lu,ru,w);
            }
            while (!ruta.empty())
            {
                nod = ruta.back();
                ruta.pop_back();
                int dist = d - (h[x] - h[nod]);
                for (int j = dist - 1; j <= dist; j++)
                {
                    if (firstson[nod][j] == 0)
                        break;
                    int lu = pos[firstson[nod][j]],ru = pos[lastson[nod][j]];
                    update(1,1,n,lu,ru,w);
                }
            }
        }
        else
        {
            int x;
            cin >> x;
            x = paint[pos[x]];
            int rsp = aint[1];
            while (x != 1)
            {
                rsp = 1ll * rsp * aint[x] % L;
                x /= 2;
            }
            //cout << pos[x] << ' ';
            cout << rsp << '\n';
        }
    }
    return 0;
}

/**
Rezolvarea se bazeaza pe faptul ca D mic
Dupa ce fac ordinea dfs, pun nodurile intr-un sir sortate dupa inaltime si, la egalitate, dupa tin
La un update, iau al max(h[i],D)-lea stramos al lui x, fie el y. Updatez, pe inaltimile h[y] + k pentru k de la 0 la D - (h[x] - h[y]), subarborele
Apoi, merg nod dupa nod cu y spre x, la fiecare pas updatez ultimele doua nivele la care ajunge nodul curent y
Un update este de range prod si query de point value, deci pot face cu un aib care tine chestiile modulo L
Complexitate update: D * log, query: log
Pentru a afla care sunt primul si ultimul nod de la o inaltime care sunt in subarborele meu, inaltime <= D + h[nod], pot doar sa precalculez in N*D

Complexitate: O(N * D + N * logN + Q * D * logN)

Exista o micuta problema, aib-ul nu cred ca isi face treaba deoarece L nu e prim, incercam aint si fingers crossed sa nu dea TLE
**/

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12120 KB Output is correct
2 Correct 3 ms 11868 KB Output is correct
3 Correct 3 ms 11868 KB Output is correct
4 Correct 6 ms 12380 KB Output is correct
5 Correct 7 ms 12380 KB Output is correct
6 Correct 4 ms 12380 KB Output is correct
7 Correct 4 ms 12380 KB Output is correct
8 Correct 4 ms 12380 KB Output is correct
9 Correct 3 ms 11868 KB Output is correct
10 Correct 4 ms 11868 KB Output is correct
11 Correct 3 ms 11868 KB Output is correct
12 Correct 3 ms 11868 KB Output is correct
13 Correct 3 ms 11868 KB Output is correct
14 Correct 4 ms 12080 KB Output is correct
15 Correct 4 ms 11868 KB Output is correct
16 Correct 3 ms 11868 KB Output is correct
17 Correct 3 ms 11868 KB Output is correct
18 Correct 3 ms 11868 KB Output is correct
19 Correct 3 ms 12080 KB Output is correct
20 Correct 3 ms 11956 KB Output is correct
21 Correct 4 ms 12004 KB Output is correct
22 Correct 3 ms 11868 KB Output is correct
23 Correct 3 ms 11868 KB Output is correct
24 Correct 3 ms 12120 KB Output is correct
25 Correct 3 ms 11864 KB Output is correct
26 Correct 3 ms 11868 KB Output is correct
27 Correct 3 ms 11868 KB Output is correct
28 Correct 3 ms 11868 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11868 KB Output is correct
2 Correct 542 ms 102008 KB Output is correct
3 Correct 811 ms 99060 KB Output is correct
4 Correct 729 ms 112468 KB Output is correct
5 Correct 672 ms 100476 KB Output is correct
6 Correct 542 ms 99488 KB Output is correct
7 Correct 515 ms 99240 KB Output is correct
8 Correct 358 ms 97972 KB Output is correct
9 Correct 654 ms 119384 KB Output is correct
10 Correct 974 ms 114852 KB Output is correct
11 Correct 631 ms 102012 KB Output is correct
12 Correct 866 ms 98892 KB Output is correct
13 Correct 463 ms 97172 KB Output is correct
14 Correct 450 ms 96752 KB Output is correct
15 Correct 413 ms 96848 KB Output is correct
16 Correct 452 ms 97216 KB Output is correct
17 Correct 435 ms 97616 KB Output is correct
18 Correct 3 ms 11868 KB Output is correct
19 Correct 3 ms 11868 KB Output is correct
20 Correct 4 ms 11868 KB Output is correct
21 Correct 4 ms 11868 KB Output is correct
22 Correct 4 ms 11868 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11868 KB Output is correct
2 Correct 542 ms 102008 KB Output is correct
3 Correct 811 ms 99060 KB Output is correct
4 Correct 729 ms 112468 KB Output is correct
5 Correct 672 ms 100476 KB Output is correct
6 Correct 542 ms 99488 KB Output is correct
7 Correct 515 ms 99240 KB Output is correct
8 Correct 358 ms 97972 KB Output is correct
9 Correct 654 ms 119384 KB Output is correct
10 Correct 974 ms 114852 KB Output is correct
11 Correct 631 ms 102012 KB Output is correct
12 Correct 866 ms 98892 KB Output is correct
13 Correct 463 ms 97172 KB Output is correct
14 Correct 450 ms 96752 KB Output is correct
15 Correct 413 ms 96848 KB Output is correct
16 Correct 452 ms 97216 KB Output is correct
17 Correct 435 ms 97616 KB Output is correct
18 Correct 3 ms 11868 KB Output is correct
19 Correct 3 ms 11868 KB Output is correct
20 Correct 4 ms 11868 KB Output is correct
21 Correct 4 ms 11868 KB Output is correct
22 Correct 4 ms 11868 KB Output is correct
23 Correct 4 ms 12024 KB Output is correct
24 Correct 601 ms 101808 KB Output is correct
25 Correct 1000 ms 98848 KB Output is correct
26 Correct 907 ms 117064 KB Output is correct
27 Correct 712 ms 100336 KB Output is correct
28 Correct 572 ms 99616 KB Output is correct
29 Correct 556 ms 99156 KB Output is correct
30 Correct 376 ms 98032 KB Output is correct
31 Correct 723 ms 114928 KB Output is correct
32 Correct 1092 ms 114892 KB Output is correct
33 Correct 624 ms 102112 KB Output is correct
34 Correct 1080 ms 98640 KB Output is correct
35 Correct 3 ms 11864 KB Output is correct
36 Correct 3 ms 12092 KB Output is correct
37 Correct 4 ms 11868 KB Output is correct
38 Correct 3 ms 12060 KB Output is correct
39 Correct 3 ms 11868 KB Output is correct
40 Correct 3 ms 11868 KB Output is correct
41 Correct 3 ms 11868 KB Output is correct
42 Correct 3 ms 11864 KB Output is correct
43 Correct 5 ms 11864 KB Output is correct
44 Correct 4 ms 12248 KB Output is correct
45 Correct 3 ms 11868 KB Output is correct
46 Correct 3 ms 11868 KB Output is correct
47 Correct 3 ms 12016 KB Output is correct
48 Correct 3 ms 11868 KB Output is correct
49 Correct 3 ms 11868 KB Output is correct

Subtask #4
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11868 KB Output is correct
2 Correct 1316 ms 116232 KB Output is correct
3 Execution timed out 4021 ms 111960 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 11864 KB Output is correct
2 Correct 1459 ms 113916 KB Output is correct
3 Execution timed out 4050 ms 108836 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12120 KB Output is correct
2 Correct 3 ms 11868 KB Output is correct
3 Correct 3 ms 11868 KB Output is correct
4 Correct 6 ms 12380 KB Output is correct
5 Correct 7 ms 12380 KB Output is correct
6 Correct 4 ms 12380 KB Output is correct
7 Correct 4 ms 12380 KB Output is correct
8 Correct 4 ms 12380 KB Output is correct
9 Correct 3 ms 11868 KB Output is correct
10 Correct 4 ms 11868 KB Output is correct
11 Correct 3 ms 11868 KB Output is correct
12 Correct 3 ms 11868 KB Output is correct
13 Correct 3 ms 11868 KB Output is correct
14 Correct 4 ms 12080 KB Output is correct
15 Correct 4 ms 11868 KB Output is correct
16 Correct 3 ms 11868 KB Output is correct
17 Correct 3 ms 11868 KB Output is correct
18 Correct 3 ms 11868 KB Output is correct
19 Correct 3 ms 12080 KB Output is correct
20 Correct 3 ms 11956 KB Output is correct
21 Correct 4 ms 12004 KB Output is correct
22 Correct 3 ms 11868 KB Output is correct
23 Correct 3 ms 11868 KB Output is correct
24 Correct 3 ms 12120 KB Output is correct
25 Correct 3 ms 11864 KB Output is correct
26 Correct 3 ms 11868 KB Output is correct
27 Correct 3 ms 11868 KB Output is correct
28 Correct 3 ms 11868 KB Output is correct
29 Correct 3 ms 11868 KB Output is correct
30 Correct 542 ms 102008 KB Output is correct
31 Correct 811 ms 99060 KB Output is correct
32 Correct 729 ms 112468 KB Output is correct
33 Correct 672 ms 100476 KB Output is correct
34 Correct 542 ms 99488 KB Output is correct
35 Correct 515 ms 99240 KB Output is correct
36 Correct 358 ms 97972 KB Output is correct
37 Correct 654 ms 119384 KB Output is correct
38 Correct 974 ms 114852 KB Output is correct
39 Correct 631 ms 102012 KB Output is correct
40 Correct 866 ms 98892 KB Output is correct
41 Correct 463 ms 97172 KB Output is correct
42 Correct 450 ms 96752 KB Output is correct
43 Correct 413 ms 96848 KB Output is correct
44 Correct 452 ms 97216 KB Output is correct
45 Correct 435 ms 97616 KB Output is correct
46 Correct 3 ms 11868 KB Output is correct
47 Correct 3 ms 11868 KB Output is correct
48 Correct 4 ms 11868 KB Output is correct
49 Correct 4 ms 11868 KB Output is correct
50 Correct 4 ms 11868 KB Output is correct
51 Correct 4 ms 12024 KB Output is correct
52 Correct 601 ms 101808 KB Output is correct
53 Correct 1000 ms 98848 KB Output is correct
54 Correct 907 ms 117064 KB Output is correct
55 Correct 712 ms 100336 KB Output is correct
56 Correct 572 ms 99616 KB Output is correct
57 Correct 556 ms 99156 KB Output is correct
58 Correct 376 ms 98032 KB Output is correct
59 Correct 723 ms 114928 KB Output is correct
60 Correct 1092 ms 114892 KB Output is correct
61 Correct 624 ms 102112 KB Output is correct
62 Correct 1080 ms 98640 KB Output is correct
63 Correct 3 ms 11864 KB Output is correct
64 Correct 3 ms 12092 KB Output is correct
65 Correct 4 ms 11868 KB Output is correct
66 Correct 3 ms 12060 KB Output is correct
67 Correct 3 ms 11868 KB Output is correct
68 Correct 3 ms 11868 KB Output is correct
69 Correct 3 ms 11868 KB Output is correct
70 Correct 3 ms 11864 KB Output is correct
71 Correct 5 ms 11864 KB Output is correct
72 Correct 4 ms 12248 KB Output is correct
73 Correct 3 ms 11868 KB Output is correct
74 Correct 3 ms 11868 KB Output is correct
75 Correct 3 ms 12016 KB Output is correct
76 Correct 3 ms 11868 KB Output is correct
77 Correct 3 ms 11868 KB Output is correct
78 Correct 3 ms 11868 KB Output is correct
79 Correct 1316 ms 116232 KB Output is correct
80 Execution timed out 4021 ms 111960 KB Time limit exceeded
81 Halted 0 ms 0 KB -