Submission #704480

# Submission time Handle Problem Language Result Execution time Memory
704480 2023-03-02T07:32:23 Z piOOE Sprinkler (JOI22_sprinkler) C++17
100 / 100
1002 ms 57664 KB
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

typedef unsigned long long ull;
typedef __uint128_t L;
struct FastMod {
    ull b, m;
    FastMod(ull b) : b(b), m(ull((L(1) << 64) / b)) {}
    ull reduce(ull a) {
        ull q = (ull)((L(m) * a) >> 64);
        ull r = a - q * b; // can be proven that 0 <= r < 2*b
        return r >= b ? r - b : r;
    }
};

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);


    int n, MOD;
    cin >> n >> MOD;

    FastMod F(MOD);

    vector<vector<int>> adj(n);

    for (int i = 1; i < n; ++i) {
        int a, b;
        cin >> a >> b;
        a -= 1, b -= 1;

        adj[a].push_back(b);
        adj[b].push_back(a);
    }

    vector<int> parent(n, -1), depth(n);

    auto dfs = [&](auto self, int v) -> void {
        for (int to : adj[v]) {
            if (to != parent[v]) {
                depth[to] = depth[v] + 1;
                parent[to] = v;
                self(self, to);
            }
        }
    };

    dfs(dfs, 0);

    vector<int> h(n);

    for (int &x : h) {
        cin >> x;
    }

    int q;
    cin >> q;

    constexpr int maxD = 40;

    vector<array<int, maxD + 1>> kek(n);

    for (int i = 0; i < n; ++i) {
        fill(kek[i].begin(), kek[i].end(), 1);
    }

    for (int i = 0; i < q; ++i) {
        int t, v;
        cin >> t >> v;
        v -= 1;

        if (t == 1) {
            int dist;
            ll weight;
            cin >> dist >> weight;

            while (v != 0 && dist > 0) {
                kek[v][dist] = F.reduce(weight * kek[v][dist]);
                kek[v][dist - 1] = F.reduce(weight * kek[v][dist - 1]);
                v = parent[v];
                dist -= 1;
            }

            for (int j = 0; j <= dist; ++j) {
                kek[v][j] = F.reduce(kek[v][j] * weight);
            }
        } else {
            int dist = 0;
            ll ans = h[v];

            while (v != -1 && dist <= maxD) {
                ans = F.reduce(ans * kek[v][dist]);
                v = parent[v];
                dist += 1;
            }

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

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 312 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 584 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 588 KB Output is correct
9 Correct 1 ms 224 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 328 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 328 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 320 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 535 ms 49716 KB Output is correct
3 Correct 325 ms 46540 KB Output is correct
4 Correct 542 ms 53348 KB Output is correct
5 Correct 424 ms 48256 KB Output is correct
6 Correct 298 ms 48076 KB Output is correct
7 Correct 290 ms 48524 KB Output is correct
8 Correct 231 ms 48836 KB Output is correct
9 Correct 678 ms 57664 KB Output is correct
10 Correct 351 ms 54044 KB Output is correct
11 Correct 515 ms 49848 KB Output is correct
12 Correct 366 ms 46600 KB Output is correct
13 Correct 206 ms 47248 KB Output is correct
14 Correct 215 ms 47232 KB Output is correct
15 Correct 226 ms 47116 KB Output is correct
16 Correct 229 ms 47052 KB Output is correct
17 Correct 231 ms 47688 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 328 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 535 ms 49716 KB Output is correct
3 Correct 325 ms 46540 KB Output is correct
4 Correct 542 ms 53348 KB Output is correct
5 Correct 424 ms 48256 KB Output is correct
6 Correct 298 ms 48076 KB Output is correct
7 Correct 290 ms 48524 KB Output is correct
8 Correct 231 ms 48836 KB Output is correct
9 Correct 678 ms 57664 KB Output is correct
10 Correct 351 ms 54044 KB Output is correct
11 Correct 515 ms 49848 KB Output is correct
12 Correct 366 ms 46600 KB Output is correct
13 Correct 206 ms 47248 KB Output is correct
14 Correct 215 ms 47232 KB Output is correct
15 Correct 226 ms 47116 KB Output is correct
16 Correct 229 ms 47052 KB Output is correct
17 Correct 231 ms 47688 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 328 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 519 ms 49728 KB Output is correct
25 Correct 360 ms 46540 KB Output is correct
26 Correct 529 ms 55884 KB Output is correct
27 Correct 415 ms 48180 KB Output is correct
28 Correct 323 ms 48384 KB Output is correct
29 Correct 287 ms 48336 KB Output is correct
30 Correct 233 ms 49124 KB Output is correct
31 Correct 665 ms 55320 KB Output is correct
32 Correct 360 ms 53732 KB Output is correct
33 Correct 539 ms 49620 KB Output is correct
34 Correct 333 ms 46448 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 320 KB Output is correct
43 Correct 1 ms 324 KB Output is correct
44 Correct 1 ms 324 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 320 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 751 ms 54724 KB Output is correct
3 Correct 985 ms 51824 KB Output is correct
4 Correct 677 ms 52760 KB Output is correct
5 Correct 529 ms 46248 KB Output is correct
6 Correct 351 ms 46268 KB Output is correct
7 Correct 310 ms 46428 KB Output is correct
8 Correct 234 ms 46844 KB Output is correct
9 Correct 740 ms 52300 KB Output is correct
10 Correct 987 ms 53204 KB Output is correct
11 Correct 562 ms 46680 KB Output is correct
12 Correct 665 ms 46156 KB Output is correct
13 Correct 417 ms 46668 KB Output is correct
14 Correct 455 ms 47208 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 769 ms 54648 KB Output is correct
3 Correct 987 ms 50308 KB Output is correct
4 Correct 690 ms 52556 KB Output is correct
5 Correct 523 ms 47724 KB Output is correct
6 Correct 338 ms 47896 KB Output is correct
7 Correct 328 ms 47824 KB Output is correct
8 Correct 234 ms 48336 KB Output is correct
9 Correct 750 ms 56716 KB Output is correct
10 Correct 973 ms 53660 KB Output is correct
11 Correct 577 ms 49248 KB Output is correct
12 Correct 644 ms 46128 KB Output is correct
13 Correct 413 ms 46824 KB Output is correct
14 Correct 444 ms 47332 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 312 KB Output is correct
4 Correct 2 ms 596 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 584 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 588 KB Output is correct
9 Correct 1 ms 224 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 328 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 328 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 320 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 535 ms 49716 KB Output is correct
31 Correct 325 ms 46540 KB Output is correct
32 Correct 542 ms 53348 KB Output is correct
33 Correct 424 ms 48256 KB Output is correct
34 Correct 298 ms 48076 KB Output is correct
35 Correct 290 ms 48524 KB Output is correct
36 Correct 231 ms 48836 KB Output is correct
37 Correct 678 ms 57664 KB Output is correct
38 Correct 351 ms 54044 KB Output is correct
39 Correct 515 ms 49848 KB Output is correct
40 Correct 366 ms 46600 KB Output is correct
41 Correct 206 ms 47248 KB Output is correct
42 Correct 215 ms 47232 KB Output is correct
43 Correct 226 ms 47116 KB Output is correct
44 Correct 229 ms 47052 KB Output is correct
45 Correct 231 ms 47688 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 328 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 519 ms 49728 KB Output is correct
53 Correct 360 ms 46540 KB Output is correct
54 Correct 529 ms 55884 KB Output is correct
55 Correct 415 ms 48180 KB Output is correct
56 Correct 323 ms 48384 KB Output is correct
57 Correct 287 ms 48336 KB Output is correct
58 Correct 233 ms 49124 KB Output is correct
59 Correct 665 ms 55320 KB Output is correct
60 Correct 360 ms 53732 KB Output is correct
61 Correct 539 ms 49620 KB Output is correct
62 Correct 333 ms 46448 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 1 ms 340 KB Output is correct
67 Correct 1 ms 340 KB Output is correct
68 Correct 1 ms 212 KB Output is correct
69 Correct 1 ms 212 KB Output is correct
70 Correct 1 ms 320 KB Output is correct
71 Correct 1 ms 324 KB Output is correct
72 Correct 1 ms 324 KB Output is correct
73 Correct 1 ms 212 KB Output is correct
74 Correct 1 ms 320 KB Output is correct
75 Correct 1 ms 212 KB Output is correct
76 Correct 1 ms 340 KB Output is correct
77 Correct 1 ms 340 KB Output is correct
78 Correct 1 ms 212 KB Output is correct
79 Correct 751 ms 54724 KB Output is correct
80 Correct 985 ms 51824 KB Output is correct
81 Correct 677 ms 52760 KB Output is correct
82 Correct 529 ms 46248 KB Output is correct
83 Correct 351 ms 46268 KB Output is correct
84 Correct 310 ms 46428 KB Output is correct
85 Correct 234 ms 46844 KB Output is correct
86 Correct 740 ms 52300 KB Output is correct
87 Correct 987 ms 53204 KB Output is correct
88 Correct 562 ms 46680 KB Output is correct
89 Correct 665 ms 46156 KB Output is correct
90 Correct 417 ms 46668 KB Output is correct
91 Correct 455 ms 47208 KB Output is correct
92 Correct 1 ms 212 KB Output is correct
93 Correct 0 ms 212 KB Output is correct
94 Correct 0 ms 212 KB Output is correct
95 Correct 1 ms 212 KB Output is correct
96 Correct 1 ms 212 KB Output is correct
97 Correct 0 ms 212 KB Output is correct
98 Correct 769 ms 54648 KB Output is correct
99 Correct 987 ms 50308 KB Output is correct
100 Correct 690 ms 52556 KB Output is correct
101 Correct 523 ms 47724 KB Output is correct
102 Correct 338 ms 47896 KB Output is correct
103 Correct 328 ms 47824 KB Output is correct
104 Correct 234 ms 48336 KB Output is correct
105 Correct 750 ms 56716 KB Output is correct
106 Correct 973 ms 53660 KB Output is correct
107 Correct 577 ms 49248 KB Output is correct
108 Correct 644 ms 46128 KB Output is correct
109 Correct 413 ms 46824 KB Output is correct
110 Correct 444 ms 47332 KB Output is correct
111 Correct 1 ms 212 KB Output is correct
112 Correct 1 ms 212 KB Output is correct
113 Correct 1 ms 212 KB Output is correct
114 Correct 1 ms 212 KB Output is correct
115 Correct 0 ms 212 KB Output is correct
116 Correct 566 ms 47304 KB Output is correct
117 Correct 675 ms 45900 KB Output is correct
118 Correct 730 ms 55384 KB Output is correct
119 Correct 526 ms 47672 KB Output is correct
120 Correct 371 ms 47728 KB Output is correct
121 Correct 335 ms 48076 KB Output is correct
122 Correct 247 ms 48476 KB Output is correct
123 Correct 789 ms 55632 KB Output is correct
124 Correct 1002 ms 51096 KB Output is correct
125 Correct 586 ms 48896 KB Output is correct
126 Correct 686 ms 46096 KB Output is correct
127 Correct 665 ms 46060 KB Output is correct
128 Correct 455 ms 46920 KB Output is correct
129 Correct 467 ms 47532 KB Output is correct