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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#622030 | #7895. Graph Partitioning 2 | Doubeecat | TL | 3ms | 13444kb | C++23 | 2.4kb | 2024-10-08 19:34:07 | 2024-10-08 19:34:07 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair <int,int>
const int N = 1e5 + 10;
const int K = 320;
const ll mod = 998244353;
unordered_map <int,int> DP[N],ttmp;
ll dp[N][K],n,k,tmp[N],siz[N];
vector <int> G[N];
void dfs1(int x,int fa) {
dp[x][1] = 1;
siz[x] = 1;
for (auto y : G[x]) {
if (y == fa) continue;
dfs1(y,x);
for (int i = 0;i <= k+1;++i) tmp[i] = 0;
for (int j = 0;j <= min(siz[y],k);++j) {//这一步的上界为k,因为i要占用1个点
for (int i = min(k+1 - j,siz[x]);i >= 1;--i) {
tmp[i+j] = (tmp[i+j] + dp[x][i] * dp[y][j] % mod) % mod;
}
}
siz[x] += siz[y];
for (int i = 0;i <= k+1;++i) dp[x][i] = tmp[i];
}
dp[x][0] = (dp[x][k] + dp[x][k+1]) % mod;
/*cout << "nowpoi:" << x << "\n";
for (int i = 0;i <= k+1;++i) {
cout << dp[x][i] << " ";
}
cout <<"\n";*/
}
void dfs2(int x,int fa) {
DP[x][1] = 1;
siz[x] = 1;
for (auto y : G[x]) {
if (y == fa) continue;
dfs2(y,x);
ttmp.clear();
for (auto [j,val2] : DP[y]) {
for (auto [i,val1] : DP[x]) {
if (i + j > k+1) continue;
ttmp[i+j] = (ttmp[i+j] + val1 * val2 % mod) % mod;
}
}
DP[x].clear();
for (auto [i,val1] : ttmp) DP[x][i] = val1;
siz[x] += siz[y];
}
ll now = 0;
if (DP[x].count(k)) now += DP[x][k];
if (DP[x].count(k+1)) now += DP[x][k+1];
DP[x][0] = (now % mod + mod )% mod;
/*cout << "nowpoi:" << x <<"\n";
for (auto [i,j] : DP[x]) {
cout << i << " " << j << "\n";
}
cout <<"\n";*/
}
void solve() {
cin >> n >> k;
for (int i = 1;i <= n;++i) G[i].clear();
for (int i = 1;i < n;++i) {
int x,y;cin >> x >> y;
G[x].push_back(y);
G[y].push_back(x);
}
int lim = sqrt(n);
if (k <= lim) {
for (int i = 1;i <= n;++i) {
for (int j = 0;j <= k;++j) {
dp[i][j] = 0;
}
}
dfs1(1,0);
cout << dp[1][0] << "\n";
} else {
DP[1].clear();
dfs2(1,0);
cout << DP[1][0] << "\n";
}
}
signed main() {
ios::sync_with_stdio(false);
int T;cin >> T;
while (T--) solve();
return 0;
}
/*
2
4 3
1 2
1 3
2 4
4 3
1 2
1 3
2 4
*/
Details
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Test #1:
score: 100
Accepted
time: 3ms
memory: 13444kb
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: -100
Time Limit Exceeded
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 3 192 0 16 3 1 0 31493 556962307 1 328067808 914352427 569851081 298415738 171161593 4 393 205062569 0 96551519 2384 723817520 10 6 661195465 2 521549635 783009006 1620 78321769 914751372 164028453 101241628 591838220 409478463 129213987 0 241302935 709 174936389 8 32806460 11403 0 797053439 62404...