QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#528039 | #6756. 桂花树 | Qwerty1232 | 25 | 210ms | 3816kb | C++23 | 5.4kb | 2024-08-23 05:22:35 | 2024-08-23 05:22:36 |
Judging History
answer
#include <bits/stdc++.h>
constexpr int mod = 1e9 + 7;
int add(int a, int b) {
return a + b - mod * (a + b >= mod);
}
void add_to(int& a, int b) {
a = add(a, b);
}
int mul(int a, int b) {
return a * 1ULL * b % mod;
}
int power(int b, int e) {
int r = 1;
for (; e > 0; e >>= 1) {
if (e & 1)
r = mul(r, b);
b = mul(b, b);
}
return r;
}
//
int group_id;
void solve() {
int n, m, k;
std::cin >> n >> m >> k;
std::vector<int> prev(n, -1);
for (int i = 1; i < n; i++) {
std::cin >> prev[i];
prev[i]--;
}
if (m == 0) {
std::cout << 1 << "\n";
return;
}
if (m == 1) {
std::cout << 2 * n - 1 << "\n";
return;
}
std::vector<std::vector<int>> init_lca(n, std::vector<int>(n));
{
std::vector<std::vector<int>> gr(n);
for (int i = 1; i < n; i++) {
gr[prev[i]].push_back(i);
}
std::vector<int> depth(n), prv(n), jmp(n);
auto dfs = [&](auto dfs, int v, int f) -> void {
prv[v] = f;
jmp[v] = f;
if (depth[v] > 1 && depth[f] + depth[jmp[jmp[f]]] == 2 * depth[jmp[f]]) {
jmp[v] = jmp[jmp[f]];
}
for (int t : gr[v]) {
if (t != f) {
depth[t] = depth[v] + 1;
dfs(dfs, t, v);
}
}
};
dfs(dfs, 0, 0);
auto jump = [&](int v, int d) {
while (depth[v] > d) {
v = (depth[jmp[v]] >= d ? jmp[v] : prv[v]);
}
return v;
};
auto get_lca = [&](int u, int v) {
if (depth[u] < depth[v]) {
std::swap(u, v);
}
u = jump(u, depth[v]);
while (u != v) {
if (jmp[u] != jmp[v]) {
u = jmp[u], v = jmp[v];
} else {
u = prv[u], v = prv[v];
}
}
return u;
};
auto get_dist = [&](int u, int v) {
return depth[u] + depth[v] - 2 * depth[get_lca(u, v)];
};
for (int i = 0; i < n; i++) {
for (int j = i; j < n; j++) {
init_lca[i][j] = init_lca[j][i] = get_lca(i, j);
}
}
}
int ans = 0;
prev.resize(n + m);
auto fuck = [&](auto fuck, int i) {
if (i == n + m) {
for (int j = 1; j < n + m; j++) {
int v = j;
for (int k = 0; v != -1 && k < n + m; k++) {
v = prev[v];
}
if (v != -1) {
return;
}
}
std::vector<std::vector<int>> gr(n + m);
for (int i = 1; i < n + m; i++) {
gr[prev[i]].push_back(i);
}
std::vector<int> depth(n + m), prv(n + m), jmp(n + m);
auto dfs = [&](auto dfs, int v, int f) -> void {
prv[v] = f;
jmp[v] = f;
if (depth[v] > 1 && depth[f] + depth[jmp[jmp[f]]] == 2 * depth[jmp[f]]) {
jmp[v] = jmp[jmp[f]];
}
for (int t : gr[v]) {
if (t != f) {
depth[t] = depth[v] + 1;
dfs(dfs, t, v);
}
}
};
dfs(dfs, 0, 0);
auto jump = [&](int v, int d) {
while (depth[v] > d) {
v = (depth[jmp[v]] >= d ? jmp[v] : prv[v]);
}
return v;
};
auto get_lca = [&](int u, int v) {
if (depth[u] < depth[v]) {
std::swap(u, v);
}
u = jump(u, depth[v]);
while (u != v) {
if (jmp[u] != jmp[v]) {
u = jmp[u], v = jmp[v];
} else {
u = prv[u], v = prv[v];
}
}
return u;
};
auto get_dist = [&](int u, int v) {
return depth[u] + depth[v] - 2 * depth[get_lca(u, v)];
};
bool suc = true;
for (int i = 0; i < n && suc; i++) {
for (int j = i + 1; j < n; j++) {
if (get_lca(i, j) != init_lca[i][j]) {
suc = false;
break;
}
}
}
for (int i = 0; i < n + m && suc; i++) {
for (int j = 0; j < n + m; j++) {
if (get_lca(i, j) > std::max(i, j) + k) {
suc = false;
break;
}
}
}
ans += suc;
return;
}
for (int j = 0; j < n + m; j++) {
if (i == j) {
continue;
}
prev[i] = j;
fuck(fuck, i + 1);
}
};
fuck(fuck, 1);
std::cout << ans << "\n";
}
int32_t main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(nullptr);
int t;
std::cin >> group_id >> t;
while (t--) {
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Pretests
Final Tests
Test #1:
score: 5
Accepted
time: 210ms
memory: 3816kb
input:
1 15 4 2 9 1 2 3 4 4 1 1 1 1 4 3 10 1 2 3 4 2 10 1 2 3 2 3 0 1 2 2 8 1 2 4 10 1 3 3 0 1 2 3 2 0 1 1 2 2 0 1 2 4 9 1 4 2 0 1 1 1 2 4 1 1 4 4 8 1 1 1 3 3 0 1 2
output:
66 10132 787 66 105 16 1296 315 35 15 1296 63 1110 11384 315
result:
ok 15 numbers
Test #2:
score: 5
Accepted
time: 128ms
memory: 3504kb
input:
2 15 4 2 0 1 1 1 3 4 8 1 2 2 2 9 1 3 4 0 1 1 4 2 9 1 1 1 3 4 2 1 1 3 3 10 1 1 3 3 0 1 2 3 2 0 1 1 3 2 0 1 1 3 4 2 1 2 2 2 0 1 2 2 0 1 4 4 8 1 1 2 3 2 0 1 2
output:
63 4553 16 3465 66 4347 366 315 35 35 4347 15 15 11384 35
result:
ok 15 numbers
Test #3:
score: 5
Accepted
time: 13ms
memory: 3736kb
input:
3 15 25363 0 10 1 2 2 4 5 6 5 7 5 7 7 8 13 11 13 12 17 14 19 20 20 22 23 24 22 26 26 24 28 28 30 32 32 30 34 33 35 34 38 37 41 41 40 40 42 46 45 44 47 49 51 49 51 54 54 56 55 58 57 59 60 62 60 61 64 65 63 65 68 66 70 68 69 74 75 72 76 77 78 77 77 78 79 84 83 83 85 87 89 90 91 90 90 91 93 93 97 95 98...
output:
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
result:
ok 15 numbers
Test #4:
score: 5
Accepted
time: 0ms
memory: 3568kb
input:
4 15 95 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 81 1 0 1 1 3 3 2 4 4 4 7 8 8 11 11 12 15 16 17 18 19 17 19 22 20 22 24 25 27 24 25 26 28 29 32 33 32...
output:
189 161 157 183 179 179 185 165 161 179 191 159 199 177 195
result:
ok 15 numbers
Test #5:
score: 5
Accepted
time: 15ms
memory: 3676kb
input:
5 15 24238 1 9 1 2 2 3 2 3 7 6 6 8 11 8 13 14 14 13 14 15 15 20 17 21 19 24 25 22 23 28 27 29 28 31 32 34 35 32 35 35 39 37 38 42 39 41 43 42 47 47 45 48 49 52 50 52 51 55 53 57 58 58 60 58 60 64 62 66 66 65 65 69 68 68 73 71 72 73 75 78 77 76 78 82 81 84 82 85 84 87 86 89 90 90 90 90 91 93 94 94 98...
output:
48475 54131 56879 54501 49951 55359 46639 52775 56387 53417 55987 58213 48849 46865 56865
result:
ok 15 numbers
Test #6:
score: 0
Time Limit Exceeded
input:
6 15 90 2 0 1 1 3 3 4 6 3 5 6 1 4 8 6 3 7 2 8 17 12 1 15 8 10 17 4 7 22 1 16 15 13 17 6 24 18 20 29 24 5 37 26 19 1 36 10 11 1 32 12 29 25 36 43 25 36 35 27 30 48 13 57 43 3 48 20 49 10 42 33 32 15 67 3 72 18 59 45 65 22 47 21 76 44 36 70 31 40 36 75 97 2 10 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1...
output:
result:
Test #7:
score: 0
Time Limit Exceeded
input:
7 15 23937 2 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 ...
output:
result:
Test #8:
score: 0
Time Limit Exceeded
input:
8 15 1 89 0 1 88 0 1 86 0 1 81 0 1 89 0 1 88 0 1 85 0 1 88 0 1 99 0 1 93 0 1 94 0 1 79 0 1 97 0 1 88 0 1 96 0
output:
result:
Test #9:
score: 0
Time Limit Exceeded
input:
9 15 1 85 0 1 86 0 1 90 0 1 87 0 1 87 0 1 91 0 1 81 0 1 79 0 1 86 0 1 80 0 1 81 0 1 88 0 1 98 0 1 89 0 1 78 0
output:
result:
Test #10:
score: 0
Time Limit Exceeded
input:
10 15 1 2600 0 1 2562 0 1 2885 0 1 2926 0 1 2980 0 1 2796 0 1 2809 0 1 2441 0 1 2964 0 1 2384 0 1 2634 0 1 2284 0 1 2732 0 1 2525 0 1 2635 0
output:
result:
Test #11:
score: 0
Time Limit Exceeded
input:
11 15 1 97 8 1 98 8 1 75 9 1 86 10 1 91 10 1 80 10 1 99 10 1 75 10 1 81 3 1 86 8 1 76 10 1 79 9 1 77 9 1 79 8 1 92 10
output:
result:
Test #12:
score: 0
Time Limit Exceeded
input:
12 15 1 2419 9 1 3000 8 1 2952 9 1 2911 10 1 2596 8 1 2997 10 1 2479 10 1 2447 10 1 2504 8 1 2325 9 1 2473 10 1 2674 8 1 2817 9 1 2303 8 1 2253 6
output:
result:
Test #13:
score: 0
Time Limit Exceeded
input:
13 15 96 77 0 1 1 2 2 3 3 4 4 5 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 65 17 9 33 83 76 52 42 17 56 39 82 26 53 89 96 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 ...
output:
result:
Test #14:
score: 0
Time Limit Exceeded
input:
14 15 79 92 0 1 2 1 3 2 5 6 6 6 10 7 8 10 13 14 13 15 16 17 18 17 18 21 24 25 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 18 33 33 18 9 48 19 2 6 12 28 3 22 50 5 24 14 10 15 42 11 44 36 38 58 21 9 96 81 0 1 2 3 4 3 2 4 7 7 1 7 10 12 13 1 9 14 6 13 18 4 2 4 14 25 3 3...
output:
result:
Test #15:
score: 0
Time Limit Exceeded
input:
15 15 27219 2720 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50...
output:
result:
Test #16:
score: 0
Time Limit Exceeded
input:
16 15 23470 2270 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50...
output:
result:
Test #17:
score: 0
Time Limit Exceeded
input:
17 15 94 82 9 1 2 2 3 3 6 6 8 6 10 7 10 13 10 14 14 16 17 18 17 20 18 23 24 22 26 25 27 25 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 59 39 56 52 21 51 66 59 33 68 29 34 62 47 59 76 54 72 40 40 3 4 63 33 44 73 59 18 19 70 25 77 93 86 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
output:
result:
Test #18:
score: 0
Time Limit Exceeded
input:
18 15 78 96 1 1 1 2 2 3 3 4 4 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 52 54 22 16 21 56 64 32 42 64 52 49 19 87 86 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1...
output:
result:
Test #19:
score: 0
Time Limit Exceeded
input:
19 15 26104 2591 3 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50...
output:
result:
Test #20:
score: 0
Time Limit Exceeded
input:
20 15 22821 2558 8 1 1 1 3 2 4 2 5 5 5 7 7 13 4 15 12 1 17 15 6 10 10 13 20 20 1 16 14 9 9 28 24 14 28 2 28 35 20 30 37 1 9 21 35 42 23 41 11 15 29 10 1 13 6 24 11 11 46 32 39 32 10 59 57 20 24 51 24 60 28 65 16 31 42 25 12 27 28 53 49 15 12 58 73 83 47 7 71 2 2 26 57 82 61 17 17 48 96 23 83 2 41 59...