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답안 #978654

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
978654 2024-05-09T12:28:34 Z vjudge1 Sprinkler (JOI22_sprinkler) C++17
41 / 100
 4000 ms 123204 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx2")

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];

int vkk[200005];

int bulan = 30;

void update(int nod,int l,int r,int st,int dr,int val)
{
    if (r < st or dr < l)
        return;
    st = max(st,l);
    dr = min(dr,r);
    if (st == l and r == dr)
    {
        aint[nod] = 1ll * aint[nod] * val % L;
        //cout << nod << ' ' << l << ' ' << r << ' ' << aint[nod] << endl;
        return;
    }
    if (dr - st + 1 <= bulan)
    {
        for (int i = st; i <= dr; i++)
            vkk[i] = 1ll * vkk[i] * val % L;
        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++)
        vkk[i] = 1;
    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;
            int vjj = vkk[pos[x]];
            x = paint[pos[x]];
            int rsp = 1ll * aint[1] * vjj % L;
            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

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 14680 KB Output is correct
2 Correct 3 ms 14684 KB Output is correct
3 Correct 3 ms 14684 KB Output is correct
4 Correct 4 ms 15340 KB Output is correct
5 Correct 5 ms 15196 KB Output is correct
6 Correct 5 ms 15084 KB Output is correct
7 Correct 5 ms 15196 KB Output is correct
8 Correct 4 ms 15196 KB Output is correct
9 Correct 4 ms 14680 KB Output is correct
10 Correct 3 ms 14680 KB Output is correct
11 Correct 3 ms 14680 KB Output is correct
12 Correct 3 ms 14684 KB Output is correct
13 Correct 3 ms 14772 KB Output is correct
14 Correct 3 ms 14684 KB Output is correct
15 Correct 4 ms 14684 KB Output is correct
16 Correct 3 ms 14772 KB Output is correct
17 Correct 3 ms 14684 KB Output is correct
18 Correct 3 ms 14684 KB Output is correct
19 Correct 3 ms 14684 KB Output is correct
20 Correct 3 ms 14684 KB Output is correct
21 Correct 3 ms 14684 KB Output is correct
22 Correct 3 ms 14684 KB Output is correct
23 Correct 3 ms 14684 KB Output is correct
24 Correct 3 ms 14684 KB Output is correct
25 Correct 3 ms 14684 KB Output is correct
26 Correct 3 ms 14684 KB Output is correct
27 Correct 3 ms 14684 KB Output is correct
28 Correct 4 ms 14684 KB Output is correct

Subtask #2
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 14680 KB Output is correct
2 Correct 592 ms 102904 KB Output is correct
3 Correct 678 ms 99664 KB Output is correct
4 Correct 728 ms 115540 KB Output is correct
5 Correct 619 ms 101136 KB Output is correct
6 Correct 403 ms 100208 KB Output is correct
7 Correct 397 ms 100424 KB Output is correct
8 Correct 301 ms 98720 KB Output is correct
9 Correct 648 ms 123204 KB Output is correct
10 Correct 737 ms 118428 KB Output is correct
11 Correct 589 ms 103000 KB Output is correct
12 Correct 645 ms 99876 KB Output is correct
13 Correct 389 ms 97992 KB Output is correct
14 Correct 488 ms 97388 KB Output is correct
15 Correct 408 ms 97668 KB Output is correct
16 Correct 388 ms 97572 KB Output is correct
17 Correct 431 ms 98404 KB Output is correct
18 Correct 3 ms 14684 KB Output is correct
19 Correct 3 ms 14684 KB Output is correct
20 Correct 3 ms 14684 KB Output is correct
21 Correct 4 ms 14684 KB Output is correct
22 Correct 3 ms 14684 KB Output is correct

Subtask #3
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 14680 KB Output is correct
2 Correct 592 ms 102904 KB Output is correct
3 Correct 678 ms 99664 KB Output is correct
4 Correct 728 ms 115540 KB Output is correct
5 Correct 619 ms 101136 KB Output is correct
6 Correct 403 ms 100208 KB Output is correct
7 Correct 397 ms 100424 KB Output is correct
8 Correct 301 ms 98720 KB Output is correct
9 Correct 648 ms 123204 KB Output is correct
10 Correct 737 ms 118428 KB Output is correct
11 Correct 589 ms 103000 KB Output is correct
12 Correct 645 ms 99876 KB Output is correct
13 Correct 389 ms 97992 KB Output is correct
14 Correct 488 ms 97388 KB Output is correct
15 Correct 408 ms 97668 KB Output is correct
16 Correct 388 ms 97572 KB Output is correct
17 Correct 431 ms 98404 KB Output is correct
18 Correct 3 ms 14684 KB Output is correct
19 Correct 3 ms 14684 KB Output is correct
20 Correct 3 ms 14684 KB Output is correct
21 Correct 4 ms 14684 KB Output is correct
22 Correct 3 ms 14684 KB Output is correct
23 Correct 3 ms 14684 KB Output is correct
24 Correct 621 ms 102816 KB Output is correct
25 Correct 838 ms 99804 KB Output is correct
26 Correct 722 ms 120648 KB Output is correct
27 Correct 693 ms 101176 KB Output is correct
28 Correct 451 ms 100536 KB Output is correct
29 Correct 411 ms 100180 KB Output is correct
30 Correct 319 ms 98800 KB Output is correct
31 Correct 659 ms 117660 KB Output is correct
32 Correct 842 ms 118688 KB Output is correct
33 Correct 593 ms 102916 KB Output is correct
34 Correct 728 ms 99720 KB Output is correct
35 Correct 3 ms 14684 KB Output is correct
36 Correct 3 ms 14684 KB Output is correct
37 Correct 3 ms 14684 KB Output is correct
38 Correct 3 ms 14680 KB Output is correct
39 Correct 3 ms 14684 KB Output is correct
40 Correct 3 ms 14684 KB Output is correct
41 Correct 3 ms 14712 KB Output is correct
42 Correct 3 ms 14936 KB Output is correct
43 Correct 3 ms 14684 KB Output is correct
44 Correct 3 ms 14684 KB Output is correct
45 Correct 4 ms 14940 KB Output is correct
46 Correct 3 ms 14684 KB Output is correct
47 Correct 3 ms 14684 KB Output is correct
48 Correct 3 ms 14904 KB Output is correct
49 Correct 4 ms 14684 KB Output is correct

Subtask #4
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 14932 KB Output is correct
2 Correct 1033 ms 120144 KB Output is correct
3 Correct 3561 ms 115032 KB Output is correct
4 Correct 1470 ms 116368 KB Output is correct
5 Correct 1356 ms 99520 KB Output is correct
6 Correct 1396 ms 99184 KB Output is correct
7 Correct 1006 ms 98924 KB Output is correct
8 Correct 312 ms 97136 KB Output is correct
9 Correct 1004 ms 115280 KB Output is correct
10 Correct 3545 ms 117888 KB Output is correct
11 Correct 1020 ms 99800 KB Output is correct
12 Correct 3752 ms 99400 KB Output is correct
13 Execution timed out 4062 ms 97268 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 14684 KB Output is correct
2 Correct 1055 ms 117092 KB Output is correct
3 Correct 3483 ms 111104 KB Output is correct
4 Correct 1452 ms 114276 KB Output is correct
5 Correct 1345 ms 101204 KB Output is correct
6 Correct 1332 ms 100528 KB Output is correct
7 Correct 1146 ms 99980 KB Output is correct
8 Correct 316 ms 98620 KB Output is correct
9 Correct 977 ms 121644 KB Output is correct
10 Correct 3567 ms 119060 KB Output is correct
11 Correct 946 ms 102832 KB Output is correct
12 Correct 3255 ms 99668 KB Output is correct
13 Execution timed out 4030 ms 97548 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 14680 KB Output is correct
2 Correct 3 ms 14684 KB Output is correct
3 Correct 3 ms 14684 KB Output is correct
4 Correct 4 ms 15340 KB Output is correct
5 Correct 5 ms 15196 KB Output is correct
6 Correct 5 ms 15084 KB Output is correct
7 Correct 5 ms 15196 KB Output is correct
8 Correct 4 ms 15196 KB Output is correct
9 Correct 4 ms 14680 KB Output is correct
10 Correct 3 ms 14680 KB Output is correct
11 Correct 3 ms 14680 KB Output is correct
12 Correct 3 ms 14684 KB Output is correct
13 Correct 3 ms 14772 KB Output is correct
14 Correct 3 ms 14684 KB Output is correct
15 Correct 4 ms 14684 KB Output is correct
16 Correct 3 ms 14772 KB Output is correct
17 Correct 3 ms 14684 KB Output is correct
18 Correct 3 ms 14684 KB Output is correct
19 Correct 3 ms 14684 KB Output is correct
20 Correct 3 ms 14684 KB Output is correct
21 Correct 3 ms 14684 KB Output is correct
22 Correct 3 ms 14684 KB Output is correct
23 Correct 3 ms 14684 KB Output is correct
24 Correct 3 ms 14684 KB Output is correct
25 Correct 3 ms 14684 KB Output is correct
26 Correct 3 ms 14684 KB Output is correct
27 Correct 3 ms 14684 KB Output is correct
28 Correct 4 ms 14684 KB Output is correct
29 Correct 3 ms 14680 KB Output is correct
30 Correct 592 ms 102904 KB Output is correct
31 Correct 678 ms 99664 KB Output is correct
32 Correct 728 ms 115540 KB Output is correct
33 Correct 619 ms 101136 KB Output is correct
34 Correct 403 ms 100208 KB Output is correct
35 Correct 397 ms 100424 KB Output is correct
36 Correct 301 ms 98720 KB Output is correct
37 Correct 648 ms 123204 KB Output is correct
38 Correct 737 ms 118428 KB Output is correct
39 Correct 589 ms 103000 KB Output is correct
40 Correct 645 ms 99876 KB Output is correct
41 Correct 389 ms 97992 KB Output is correct
42 Correct 488 ms 97388 KB Output is correct
43 Correct 408 ms 97668 KB Output is correct
44 Correct 388 ms 97572 KB Output is correct
45 Correct 431 ms 98404 KB Output is correct
46 Correct 3 ms 14684 KB Output is correct
47 Correct 3 ms 14684 KB Output is correct
48 Correct 3 ms 14684 KB Output is correct
49 Correct 4 ms 14684 KB Output is correct
50 Correct 3 ms 14684 KB Output is correct
51 Correct 3 ms 14684 KB Output is correct
52 Correct 621 ms 102816 KB Output is correct
53 Correct 838 ms 99804 KB Output is correct
54 Correct 722 ms 120648 KB Output is correct
55 Correct 693 ms 101176 KB Output is correct
56 Correct 451 ms 100536 KB Output is correct
57 Correct 411 ms 100180 KB Output is correct
58 Correct 319 ms 98800 KB Output is correct
59 Correct 659 ms 117660 KB Output is correct
60 Correct 842 ms 118688 KB Output is correct
61 Correct 593 ms 102916 KB Output is correct
62 Correct 728 ms 99720 KB Output is correct
63 Correct 3 ms 14684 KB Output is correct
64 Correct 3 ms 14684 KB Output is correct
65 Correct 3 ms 14684 KB Output is correct
66 Correct 3 ms 14680 KB Output is correct
67 Correct 3 ms 14684 KB Output is correct
68 Correct 3 ms 14684 KB Output is correct
69 Correct 3 ms 14712 KB Output is correct
70 Correct 3 ms 14936 KB Output is correct
71 Correct 3 ms 14684 KB Output is correct
72 Correct 3 ms 14684 KB Output is correct
73 Correct 4 ms 14940 KB Output is correct
74 Correct 3 ms 14684 KB Output is correct
75 Correct 3 ms 14684 KB Output is correct
76 Correct 3 ms 14904 KB Output is correct
77 Correct 4 ms 14684 KB Output is correct
78 Correct 3 ms 14932 KB Output is correct
79 Correct 1033 ms 120144 KB Output is correct
80 Correct 3561 ms 115032 KB Output is correct
81 Correct 1470 ms 116368 KB Output is correct
82 Correct 1356 ms 99520 KB Output is correct
83 Correct 1396 ms 99184 KB Output is correct
84 Correct 1006 ms 98924 KB Output is correct
85 Correct 312 ms 97136 KB Output is correct
86 Correct 1004 ms 115280 KB Output is correct
87 Correct 3545 ms 117888 KB Output is correct
88 Correct 1020 ms 99800 KB Output is correct
89 Correct 3752 ms 99400 KB Output is correct
90 Execution timed out 4062 ms 97268 KB Time limit exceeded
91 Halted 0 ms 0 KB -