oj.uz

Submission #615124

# Submission time Handle Problem Language Result Execution time Memory
615124 2022-07-31T07:00:56 Z 이동현(#8495) Sprinkler (JOI22_sprinkler) C++17
12 / 100
 4000 ms 572720 KB 
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
using namespace std;

const int NS = (int)2e5 + 4;

int n, mod;
vector<int> way[NS], cway[NS];
int dep[NS], sz[NS], megop[NS][44], ind[NS];
int lca[NS][20], cchk[NS], init[NS];
int cpr[NS];

struct Seg{
    int n;
    vector<int> tr;

    Seg(){}
    Seg(int n):n(n + 4){
        tr.resize(n * 4, 1);
    }

    void push(int x, int s, int e, int pos, int val){
        if(s == e){
            tr[x] = ((long long)tr[x] * val) % mod;
            return;
        }
        int m = s + e >> 1;
        if(pos <= m){
            push(x * 2, s, m, pos, val);
        }
        else{
            push(x * 2 + 1, m + 1, e, pos, val);
        }
        tr[x] = ((long long)tr[x * 2] * tr[x * 2 + 1]) % mod;
    }

    int get(int x, int s, int e, int fs, int fe){
        if(fe < s || fs > e || fs > fe) return 1;
        if(fs <= s && fe >= e){
            return tr[x];
        }

        int m = s + e >> 1;
        return (long long)get(x * 2, s, m, fs, fe) * get(x * 2 + 1, m + 1, e, fs, fe) % mod;
    }
}tree[NS][44];

void dfslca(int x, int pr){
    lca[x][0] = pr;

    for(auto&nxt:way[x]){
        if(nxt == pr){
            continue;
        }

        dep[nxt] = dep[x] + 1;
        dfslca(nxt, x);
    }
}

void dfssz(int x, int pr = -1){
    sz[x] = 1;

    for(auto&nxt:way[x]){
        if(nxt == pr || cchk[nxt]){
            continue;
        }

        dfssz(nxt, x);

        sz[x] += sz[nxt];
    }
}

int getcent(int x, int allsz, int pr = -1){
    for(auto&nxt:way[x]){
        if(nxt == pr || cchk[nxt]){
            continue;
        }

        if(sz[nxt] * 2 > allsz){
            return getcent(nxt, allsz, x);
        }
    }
    return x;
}

int docent(int x){
    dfssz(x);
    x = getcent(x, sz[x]);

    cchk[x] = 1;

    for(auto&nxt:way[x]){
        if(cchk[nxt]){
            continue;
        }

        int rv = docent(nxt);
        ind[rv] = (int)cway[x].size();
        cway[x].push_back(rv);
        cpr[rv] = x;
    }

    return x;
}

int getdist(int x, int y){
    int xs = x, ys = y;

    if(dep[x] < dep[y]){
        swap(x, y);
    }

    for(int i = 19; i >= 0; --i){
        if(dep[x] - (1 << i) >= dep[y]){
            x = lca[x][i];
        }
    }
    if(x != y){
        for(int i = 19; i >= 0; --i){
            if(lca[x][i] != lca[y][i]){
                x = lca[x][i];
                y = lca[y][i];
            }
        }
        x = lca[x][0];
    }

    return dep[xs] + dep[ys] - 2 * dep[x];
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> n >> mod;
    for(int i = 1; i < n; ++i){
        int x, y; cin >> x >> y;

        way[x].push_back(y), way[y].push_back(x);
    }
    for(int i = 1; i <= n; ++i){
        cin >> init[i];
    }

    dfslca(1, 0);
    for(int j = 1; j < 20; ++j){
        for(int i = 1; i <= n; ++i){
            lca[i][j] = lca[lca[i][j - 1]][j - 1];
        }
    }

    int top = docent(1);
    for(int i = 1; i <= n; ++i){
        for(int j = 0; j <= 40; ++j){
            tree[i][j] = Seg((int)cway[i].size());
            megop[i][j] = 1;
        }
    }

    // for(int i = 1; i <= n; ++i){
    //     for(auto&nxt:cway[i]){
    //         cout << i << ' ' << nxt << endl;
    //     }
    // }

    int q; cin >> q;
    while(q--){
        int t; cin >> t;

        if(t == 1){
            int x, d, w; cin >> x >> d >> w;

            int now = x;
            for(int i = 0; i <= d; ++i){
                megop[now][i] = ((long long)megop[now][i] * w) % mod;
            }

            while(now != top){
                int up = cpr[now];
                int dist = getdist(x, up);

                if(d >= dist){
                    for(int i = 0; i <= d - dist; ++i){
                        tree[up][i].push(1, 0, (int)cway[up].size() - 1, ind[now], w);
                    }
                }
                now = up;
            }
        }
        else{
            int x; cin >> x;

            int ans = init[x];
            int now = x;

            ans = ((long long)ans * tree[now][0].get(1, 0, (int)cway[now].size() - 1, 0, (int)cway[now].size() - 1)) % mod;

            while(true){
                int dist = getdist(x, now);

                if(dist <= 40){
                    ans = ((long long)ans * megop[now][dist]) % mod;
                }

                if(now == top) break;

                int up = cpr[now];
                dist = getdist(x, up);

                if(dist <= 40){
                    ans = ((long long)ans * tree[up][dist].get(1, 0, (int)cway[up].size() - 1, 0, ind[now] - 1)) % mod;
                    ans = ((long long)ans * tree[up][dist].get(1, 0, (int)cway[up].size() - 1, ind[now] + 1, (int)cway[up].size() - 1)) % mod;
                }

                now = up;
            }

            cout << ans << '\n';
        }
    }
    return 0;
}

Compilation message

sprinkler.cpp: In member function 'void Seg::push(int, int, int, int, int)':
sprinkler.cpp:29:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   29 |         int m = s + e >> 1;
      |                 ~~^~~
sprinkler.cpp: In member function 'int Seg::get(int, int, int, int, int)':
sprinkler.cpp:45:19: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   45 |         int m = s + e >> 1;
      |                 ~~^~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 170 ms 285280 KB Output is correct
2 Correct 171 ms 285240 KB Output is correct
3 Correct 144 ms 285296 KB Output is correct
4 Correct 155 ms 286540 KB Output is correct
5 Correct 156 ms 286552 KB Output is correct
6 Correct 164 ms 286520 KB Output is correct
7 Correct 195 ms 286488 KB Output is correct
8 Correct 189 ms 286252 KB Output is correct
9 Correct 162 ms 285300 KB Output is correct
10 Correct 179 ms 285300 KB Output is correct
11 Correct 186 ms 285280 KB Output is correct
12 Correct 167 ms 285288 KB Output is correct
13 Correct 156 ms 285236 KB Output is correct
14 Correct 176 ms 285312 KB Output is correct
15 Correct 159 ms 285300 KB Output is correct
16 Correct 138 ms 285272 KB Output is correct
17 Correct 153 ms 285284 KB Output is correct
18 Correct 143 ms 285292 KB Output is correct
19 Correct 153 ms 285340 KB Output is correct
20 Correct 166 ms 285244 KB Output is correct
21 Correct 162 ms 285232 KB Output is correct
22 Correct 144 ms 285316 KB Output is correct
23 Correct 163 ms 285408 KB Output is correct
24 Correct 166 ms 285320 KB Output is correct
25 Correct 135 ms 285256 KB Output is correct
26 Correct 135 ms 285280 KB Output is correct
27 Correct 137 ms 285208 KB Output is correct
28 Correct 158 ms 285308 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 142 ms 285260 KB Output is correct
2 Correct 2525 ms 542156 KB Output is correct
3 Correct 2075 ms 538680 KB Output is correct
4 Correct 3314 ms 569144 KB Output is correct
5 Correct 2185 ms 540216 KB Output is correct
6 Correct 1632 ms 534400 KB Output is correct
7 Correct 1397 ms 527704 KB Output is correct
8 Correct 765 ms 478392 KB Output is correct
9 Correct 3283 ms 572720 KB Output is correct
10 Correct 2819 ms 569132 KB Output is correct
11 Correct 2533 ms 541856 KB Output is correct
12 Correct 2035 ms 538652 KB Output is correct
13 Correct 591 ms 488412 KB Output is correct
14 Correct 736 ms 488456 KB Output is correct
15 Correct 753 ms 488960 KB Output is correct
16 Correct 815 ms 488380 KB Output is correct
17 Correct 783 ms 489168 KB Output is correct
18 Correct 137 ms 285200 KB Output is correct
19 Correct 164 ms 285296 KB Output is correct
20 Correct 141 ms 285196 KB Output is correct
21 Correct 132 ms 285204 KB Output is correct
22 Correct 134 ms 285296 KB Output is correct

Subtask #3
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 142 ms 285260 KB Output is correct
2 Correct 2525 ms 542156 KB Output is correct
3 Correct 2075 ms 538680 KB Output is correct
4 Correct 3314 ms 569144 KB Output is correct
5 Correct 2185 ms 540216 KB Output is correct
6 Correct 1632 ms 534400 KB Output is correct
7 Correct 1397 ms 527704 KB Output is correct
8 Correct 765 ms 478392 KB Output is correct
9 Correct 3283 ms 572720 KB Output is correct
10 Correct 2819 ms 569132 KB Output is correct
11 Correct 2533 ms 541856 KB Output is correct
12 Correct 2035 ms 538652 KB Output is correct
13 Correct 591 ms 488412 KB Output is correct
14 Correct 736 ms 488456 KB Output is correct
15 Correct 753 ms 488960 KB Output is correct
16 Correct 815 ms 488380 KB Output is correct
17 Correct 783 ms 489168 KB Output is correct
18 Correct 137 ms 285200 KB Output is correct
19 Correct 164 ms 285296 KB Output is correct
20 Correct 141 ms 285196 KB Output is correct
21 Correct 132 ms 285204 KB Output is correct
22 Correct 134 ms 285296 KB Output is correct
23 Correct 132 ms 285280 KB Output is correct
24 Correct 2815 ms 541952 KB Output is correct
25 Correct 2470 ms 538792 KB Output is correct
26 Correct 3575 ms 571484 KB Output is correct
27 Correct 2579 ms 540724 KB Output is correct
28 Correct 1903 ms 535280 KB Output is correct
29 Correct 1519 ms 528060 KB Output is correct
30 Correct 992 ms 479028 KB Output is correct
31 Correct 3976 ms 571464 KB Output is correct
32 Execution timed out 4054 ms 569680 KB Time limit exceeded
33 Halted 0 ms 0 KB -

Subtask #4
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 198 ms 285328 KB Output is correct
2 Execution timed out 4098 ms 571632 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 193 ms 285172 KB Output is correct
2 Execution timed out 4111 ms 572004 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #6
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 170 ms 285280 KB Output is correct
2 Correct 171 ms 285240 KB Output is correct
3 Correct 144 ms 285296 KB Output is correct
4 Correct 155 ms 286540 KB Output is correct
5 Correct 156 ms 286552 KB Output is correct
6 Correct 164 ms 286520 KB Output is correct
7 Correct 195 ms 286488 KB Output is correct
8 Correct 189 ms 286252 KB Output is correct
9 Correct 162 ms 285300 KB Output is correct
10 Correct 179 ms 285300 KB Output is correct
11 Correct 186 ms 285280 KB Output is correct
12 Correct 167 ms 285288 KB Output is correct
13 Correct 156 ms 285236 KB Output is correct
14 Correct 176 ms 285312 KB Output is correct
15 Correct 159 ms 285300 KB Output is correct
16 Correct 138 ms 285272 KB Output is correct
17 Correct 153 ms 285284 KB Output is correct
18 Correct 143 ms 285292 KB Output is correct
19 Correct 153 ms 285340 KB Output is correct
20 Correct 166 ms 285244 KB Output is correct
21 Correct 162 ms 285232 KB Output is correct
22 Correct 144 ms 285316 KB Output is correct
23 Correct 163 ms 285408 KB Output is correct
24 Correct 166 ms 285320 KB Output is correct
25 Correct 135 ms 285256 KB Output is correct
26 Correct 135 ms 285280 KB Output is correct
27 Correct 137 ms 285208 KB Output is correct
28 Correct 158 ms 285308 KB Output is correct
29 Correct 142 ms 285260 KB Output is correct
30 Correct 2525 ms 542156 KB Output is correct
31 Correct 2075 ms 538680 KB Output is correct
32 Correct 3314 ms 569144 KB Output is correct
33 Correct 2185 ms 540216 KB Output is correct
34 Correct 1632 ms 534400 KB Output is correct
35 Correct 1397 ms 527704 KB Output is correct
36 Correct 765 ms 478392 KB Output is correct
37 Correct 3283 ms 572720 KB Output is correct
38 Correct 2819 ms 569132 KB Output is correct
39 Correct 2533 ms 541856 KB Output is correct
40 Correct 2035 ms 538652 KB Output is correct
41 Correct 591 ms 488412 KB Output is correct
42 Correct 736 ms 488456 KB Output is correct
43 Correct 753 ms 488960 KB Output is correct
44 Correct 815 ms 488380 KB Output is correct
45 Correct 783 ms 489168 KB Output is correct
46 Correct 137 ms 285200 KB Output is correct
47 Correct 164 ms 285296 KB Output is correct
48 Correct 141 ms 285196 KB Output is correct
49 Correct 132 ms 285204 KB Output is correct
50 Correct 134 ms 285296 KB Output is correct
51 Correct 132 ms 285280 KB Output is correct
52 Correct 2815 ms 541952 KB Output is correct
53 Correct 2470 ms 538792 KB Output is correct
54 Correct 3575 ms 571484 KB Output is correct
55 Correct 2579 ms 540724 KB Output is correct
56 Correct 1903 ms 535280 KB Output is correct
57 Correct 1519 ms 528060 KB Output is correct
58 Correct 992 ms 479028 KB Output is correct
59 Correct 3976 ms 571464 KB Output is correct
60 Execution timed out 4054 ms 569680 KB Time limit exceeded
61 Halted 0 ms 0 KB -