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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#698395 | #7895. Graph Partitioning 2 | test_algth | RE | 34ms | 15924kb | C++14 | 2.2kb | 2024-11-01 19:19:54 | 2024-11-01 19:19:55 |
Judging History
answer
#include <bits/stdc++.h>
const int MAXN = 1.01E5;
const int MAXB = 500;
const int P = 998244353;
inline int add(int a, int b) {
return a -= (a += b) >= P ? P : 0;
}
inline void incr(int& a, int b) {
a = add(a, b);
}
int dp[MAXN][MAXB + 5], sz[MAXN], ndp[MAXB + 5];
int N, K;
std::unordered_map <int, int> f[MAXN], g;
std::vector <int> adj[MAXN];
inline void merge(int u, int v) {
for (int i = 0; i <= std::min(K + 1, sz[u] + sz[v]); ++i)
ndp[i] = 0;
for (int i = 0; i <= sz[u]; ++i) {
for (int j = 0; j <= sz[v] && i + j <= K + 1; ++j) {
incr(ndp[i + j], 1ll * dp[u][i] * dp[v][j] % P);
}
incr(ndp[i], 1ll * dp[u][i] * add(dp[v][K], dp[v][K + 1]) % P);
}
sz[u] += sz[v];
for (int i = 0; i <= std::min(K + 1, sz[u]); ++i)
dp[u][i] = ndp[i];
}
void solve(int u, int pa) {
sz[u] = dp[u][1] = 1;
for (int i = 2; i <= K + 1; ++i)
dp[u][i] = 0;
for (int v : adj[u]) {
if (v == pa) continue;
solve(v, u);
merge(u, v);
}
}
inline void merge2(int u, int v) {
g.clear();
for (auto [a, b] : f[u]) {
for (auto [c, d] : f[v]) {
if (a + c <= K + 1) {
incr(g[a + c], 1ll * b * d % P);
}
}
if (f[v].count(K)) {
incr(g[a], 1ll * b * f[v][K] % P);
}
if (f[v].count(K + 1)) {
incr(g[a], 1ll * b * f[v][K + 1]);
}
}
f[u] = g;
}
void solve2(int u, int pa) {
f[u].clear();
f[u][1] = 1;
for (int v : adj[u]) {
if (v == pa) continue;
solve2(v, u);
merge2(u, v);
}
}
int main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
std::cout.tie(nullptr);
int testCase = 1;
std::cin >> testCase;
while (testCase--) {
std::cin >> N >> K;
for (int i = 1; i <= N; ++i) {
adj[i].clear();
}
for (int i = 1, u, v; i < N; ++i) {
std::cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
if (K < MAXB) {
solve(1, 1);
std::cout << add(dp[1][K], dp[1][K + 1]) << '\n';
}
else {
solve2(1, 1);
std::cout << add(f[1][K], f[1][K + 1]) << '\n';
}
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 4ms
memory: 14104kb
input:
2 8 2 1 2 3 1 4 6 3 5 2 4 8 5 5 7 4 3 1 2 1 3 2 4
output:
2 1
result:
ok 2 lines
Test #2:
score: 0
Accepted
time: 34ms
memory: 15924kb
input:
5550 13 4 10 3 9 1 10 8 3 11 8 5 10 7 9 6 13 5 9 7 2 7 5 12 4 8 8 2 4 1 3 4 7 8 2 5 6 7 4 8 2 3 11 1 11 10 1 4 9 10 8 4 3 6 5 7 6 1 10 2 11 7 11 1 17 2 14 16 13 15 17 3 15 11 1 6 13 2 13 17 4 8 14 10 8 14 14 5 9 12 14 2 12 17 17 6 15 7 14 6 2 14 2 13 2 4 8 4 3 11 7 3 14 1 11 9 13 3 5 10 6 8 3 10 14 ...
output:
0 3 112 0 1 0 1 0 0 0 1 0 1 0 0 1 0 140 0 0 0 814 1 6 1 1 2 2 0 612 0 1 0 0 0 1 1 0 0 121 4536 0 0 1718 0 0 1 0 444 1 1908 1813 3 74 0 1 0 46 0 0 0 0 0 0 0 0 0 1 0 1 1 1 239 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 48 0 2 0 0 0 1 364 0 206 0 0 76 0 1 0 0 2 0 1 2 0 0 1 0 0 4 0 1 1 0 0 1 1 1 0 0 1 1 ...
result:
ok 5550 lines
Test #3:
score: -100
Runtime Error
input:
3 99990 259 23374 69108 82204 51691 8142 67119 48537 97966 51333 44408 33147 68485 21698 86824 15746 58746 78761 86975 58449 61819 69001 68714 25787 2257 25378 14067 64899 68906 29853 31359 75920 85420 76072 11728 63836 55505 43671 98920 77281 25176 40936 66517 61029 61440 66908 52300 92101 59742 69...